{"columns":[{"name":"signature","type":"string"},{"name":"problem_type","type":"string"},{"name":"optimization_type","type":"string"},{"name":"graph","type":"string"},{"name":"solution","type":"string"},{"name":"cost_hamiltonian","type":"string"},{"name":"ansatz_id","type":"int64"},{"name":"number_of_qubits","type":"int64"},{"name":"number_of_layers","type":"int64"},{"name":"exact_solution","type":"string"},{"name":"circuit_with_params","type":"string"},{"name":"circuit_with_symbols","type":"string"},{"name":"problem_specific_attributes","type":"string"},{"name":"adaptive_process","type":"string"}],"n_rows":13914,"rows_kept":1125,"cut":true,"text_format":"parquet-jsonl-2026-10-02","bounds":{"document_bytes":16777216,"package_text_limit_bytes":33554432,"package_text_slack_bytes":1024,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":2,"cell_chars":16384,"cell_head_chars":4096,"vector_min":64,"vector_head_fixed":16,"vector_head_variable":64,"kv_value_chars":1048576,"nesting_max":64,"binary_text":true},"cells_cut":164,"cells_bad_utf8":0,"cells_raw":0,"cells_binary":0,"cells_binary_text":0,"cells_vector":0,"n_row_groups":14,"reader":"pyarrow 23.0.1, python 3.13","created_by":"parquet-cpp-arrow version 15.0.2","schema":{"fields":[{"name":"signature","type":"string","nullable":true,"metadata":null,"children":null},{"name":"problem_type","type":"string","nullable":true,"metadata":null,"children":null},{"name":"optimization_type","type":"string","nullable":true,"metadata":null,"children":null},{"name":"graph","type":"string","nullable":true,"metadata":null,"children":null},{"name":"solution","type":"string","nullable":true,"metadata":null,"children":null},{"name":"cost_hamiltonian","type":"string","nullable":true,"metadata":null,"children":null},{"name":"ansatz_id","type":"int64","nullable":true,"metadata":null,"children":null},{"name":"number_of_qubits","type":"int64","nullable":true,"metadata":null,"children":null},{"name":"number_of_layers","type":"int64","nullable":true,"metadata":null,"children":null},{"name":"exact_solution","type":"string","nullable":true,"metadata":null,"children":null},{"name":"circuit_with_params","type":"string","nullable":true,"metadata":null,"children":null},{"name":"circuit_with_symbols","type":"string","nullable":true,"metadata":null,"children":null},{"name":"problem_specific_attributes","type":"string","nullable":true,"metadata":null,"children":null},{"name":"adaptive_process","type":"string","nullable":true,"metadata":null,"children":null}],"parquet":"required group field_id=-1 schema {\n  optional binary field_id=-1 signature (String);\n  optional binary field_id=-1 problem_type (String);\n  optional binary field_id=-1 optimization_type (String);\n  optional binary field_id=-1 graph (String);\n  optional binary field_id=-1 solution (String);\n  optional binary field_id=-1 cost_hamiltonian (String);\n  optional int64 field_id=-1 ansatz_id;\n  optional int64 field_id=-1 number_of_qubits;\n  optional int64 field_id=-1 number_of_layers;\n  optional binary field_id=-1 exact_solution (String);\n  optional binary field_id=-1 circuit_with_params (String);\n  optional binary field_id=-1 circuit_with_symbols (String);\n  optional binary field_id=-1 problem_specific_attributes (String);\n  optional binary field_id=-1 adaptive_process (String);\n}\n"},"kv_metadata":[["ARROW:schema",{"$cut":{"chars":2328,"head":""}}],["huggingface","{\"info\": {\"features\": {\"signature\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"problem_type\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"optimization_type\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"graph\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"solution\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"cost_hamiltonian\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"ansatz_id\": {\"dtype\": \"int64\", \"_type\": \"Value\"}, \"number_of_qubits\": {\"dtype\": \"int64\", \"_type\": \"Value\"}, \"number_of_layers\": {\"dtype\": \"int64\", \"_type\": \"Value\"}, \"exact_solution\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"circuit_with_params\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"circuit_with_symbols\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"problem_specific_attributes\": {\"dtype\": \"string\", \"_type\": \"Value\"}, \"adaptive_process\": {\"dtype\": \"string\", \"_type\": \"Value\"}}}}"]]}
["3d627635058abf5b6bb9c53f69a1c86d","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 8}, {\"source\": 4, \"target\": 9}, {\"source\": 7, \"target\": 8}]}","{\"states\": [63, 511], \"expectation_value\": -2.0702588516857356, \"params\": [[-0.0599], [0.062200000000000005]], \"bitstrings\": [\"111000000\", \"000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.003179104768408564, 0.0033136167255936105], \"optimization_time\": 1.0138466358184814}","-1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(6)) + -3.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -3.0 * Z(4) + 1.0 * Z(3) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(5) + 1.0 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-26.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -23.0, \"smallest_bitstrings\": [\"000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.1797) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0599) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1797) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(0.4193) q[3];\ncx q[4], q[3];\ncx q[4], q[6];\nrz(0.4193) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(0.2396) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(0.4193) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(0.2396) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(0.2396) q[7];\ncx q[6], q[7];\ncx q[4], q[5];\nrz(0.4193) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.0599) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(-0.0599) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(-0.0599) q[5];\ncx q[7], q[5];\ncx q[4], q[8];\nrz(0.4193) q[8];\ncx q[4], q[8];\ncx q[3], q[8];\nrz(-0.0599) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(-0.0599) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.0599) q[8];\ncx q[7], q[8];\ncx q[5], q[8];\nrz(-0.0599) q[8];\ncx q[5], q[8];\nrz(-0.0599) q[1];\nrz(-0.0599) q[0];\nrz(-0.0599) q[2];\nrz(0.3594) q[4];\nrz(-0.1198) q[3];\nrz(-0.1198) q[6];\nrz(-0.1198) q[7];\nrz(-0.1198) q[5];\nrz(-0.1198) q[8];\nh q[0];\nrz(0.1244) q[0];\nh q[0];\nh q[1];\nrz(0.1244) q[1];\nh q[1];\nh q[2];\nrz(0.1244) q[2];\nh q[2];\nh q[3];\nrz(0.1244) q[3];\nh q[3];\nh q[4];\nrz(0.1244) q[4];\nh q[4];\nh q[5];\nrz(0.1244) q[5];\nh q[5];\nh q[6];\nrz(0.1244) q[6];\nh q[6];\nh q[7];\nrz(0.1244) q[7];\nh q[7];\nh q[8];\nrz(0.1244) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(x2) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(x3) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(x3) q[7];\ncx q[6], q[7];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[4], q[8];\nrz(x2) q[8];\ncx q[4], q[8];\ncx q[3], q[8];\nrz(x1) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x1) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x1) q[8];\ncx q[7], q[8];\ncx q[5], q[8];\nrz(x1) q[8];\ncx q[5], q[8];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x4) q[4];\nrz(x5) q[3];\nrz(x5) q[6];\nrz(x5) q[7];\nrz(x5) q[5];\nrz(x5) q[8];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 6}","{\"circuits\": [], \"gradients\": []}"]
["ed17940d27aebadda70c31c5b11d2e16","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 4}, {\"weight\": 12, \"source\": 0, \"target\": 6}, {\"weight\": 6, \"source\": 1, \"target\": 5}, {\"weight\": 13, \"source\": 1, \"target\": 4}, {\"weight\": 13, \"source\": 1, \"target\": 7}, {\"weight\": 4, \"source\": 2, \"target\": 6}, {\"weight\": 17, \"source\": 2, \"target\": 4}, {\"weight\": 3, \"source\": 3, \"target\": 7}, {\"weight\": 18, \"source\": 3, \"target\": 5}]}","{\"states\": [442, 218], \"expectation_value\": -12.430252022015267, \"params\": [[-0.028800000000000003, -0.0313, -0.0129], [0.038200000000000005, 0.0475, 0.035500000000000004]], \"bitstrings\": [\"001000101\", \"100100101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0060558589831438804, 0.007033437322857238], \"optimization_time\": 5.4817705154418945}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.5 * Z(3) + 13.0 * Z(5) + 2.0 * Z(6) + 1.5 * Z(8) + 9.0 * Z(7)",1,9,3,"{\"smallest_eigenvalues\": [-70.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -61.5, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.2592) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.2592) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(-0.2592) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(-0.2592) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.2592) q[3];\ncx q[4], q[3];\ncx q[0], q[5];\nrz(-0.2592) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2592) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(-0.2592) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.2592) q[6];\ncx q[5], q[6];\ncx q[4], q[8];\nrz(-0.2592) q[8];\ncx q[4], q[8];\ncx q[3], q[7];\nrz(-0.2592) q[7];\ncx q[3], q[7];\ncx q[8], q[7];\nrz(-0.2592) q[7];\ncx q[8], q[7];\nrz(-0.3456) q[1];\nrz(-0.5184) q[0];\nrz(-0.8928) q[2];\nrz(-0.6336) q[4];\nrz(-0.432) q[3];\nrz(-0.7488) q[5];\nrz(-0.1152) q[6];\nrz(-0.0864) q[8];\nrz(-0.5184) q[7];\nh q[0];\nrz(0.0764) q[0];\nh q[0];\nh q[1];\nrz(0.0764) q[1];\nh q[1];\nh q[2];\nrz(0.0764) q[2];\nh q[2];\nh q[3];\nrz(0.0764) q[3];\nh q[3];\nh q[4];\nrz(0.0764) q[4];\nh q[4];\nh q[5];\nrz(0.0764) q[5];\nh q[5];\nh q[6];\nrz(0.0764) q[6];\nh q[6];\nh q[7];\nrz(0.0764) q[7];\nh q[7];\nh q[8];\nrz(0.0764) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.2817) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.2817) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(-0.2817) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(-0.2817) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.2817) q[3];\ncx q[4], q[3];\ncx q[0], q[5];\nrz(-0.2817) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2817) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(-0.2817) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.2817) q[6];\ncx q[5], q[6];\ncx q[4], q[8];\nrz(-0.2817) q[8];\ncx q[4], q[8];\ncx q[3], q[7];\nrz(-0.2817) q[7];\ncx q[3], q[7];\ncx q[8], q[7];\nrz(-0.2817) q[7];\ncx q[8], q[7];\nrz(-0.3756) q[1];\nrz(-0.5634) q[0];\nrz(-0.9703) q[2];\nrz(-0.6886) q[4];\nrz(-0.4695) q[3];\nrz(-0.8138) q[5];\nrz(-0.1252) q[6];\nrz(-0.0939) q[8];\nrz(-0.5634) q[7];\nh q[0];\nrz(0.095) q[0];\nh q[0];\nh q[1];\nrz(0.095) q[1];\nh q[1];\nh q[2];\nrz(0.095) q[2];\nh q[2];\nh q[3];\nrz(0.095) q[3];\nh q[3];\nh q[4];\nrz(0.095) q[4];\nh q[4];\nh q[5];\nrz(0.095) q[5];\nh q[5];\nh q[6];\nrz(0.095) q[6];\nh q[6];\nh q[7];\nrz(0.095) q[7];\nh q[7];\nh q[8];\nrz(0.095) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.1161) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1161) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(-0.1161) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(-0.1161) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.1161) q[3];\ncx q[4], q[3];\ncx q[0], q[5];\nrz(-0.1161) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.1161) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(-0.1161) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.1161) q[6];\ncx q[5], q[6];\ncx q[4], q[8];\nrz(-0.1161) q[8];\ncx q[4], q[8];\ncx q[3], q[7];\nrz(-0.1161) q[7];\ncx q[3], q[7];\ncx q[8], q[7];\nrz(-0.1161) q[7];\ncx q[8], q[7];\nrz(-0.1548) q[1];\nrz(-0.2322) q[0];\nrz(-0.3999) q[2];\nrz(-0.2838) q[4];\nrz(-0.1935) q[3];\nrz(-0.3354) q[5];\nrz(-0.0516) q[6];\nrz(-0.0387) q[8];\nrz(-0.2322) q[7];\nh q[0];\nrz(0.071) q[0];\nh q[0];\nh q[1];\nrz(0.071) q[1];\nh q[1];\nh q[2];\nrz(0.071) q[2];\nh q[2];\nh q[3];\nrz(0.071) q[3];\nh q[3];\nh q[4];\nrz(0.071) q[4];\nh q[4];\nh q[5];\nrz(0.071) q[5];\nh q[5];\nh q[6];\nrz(0.071) q[6];\nh q[6];\nh q[7];\nrz(0.071) q[7];\nh q[7];\nh q[8];\nrz(0.071) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[4];\nrz(x5) q[3];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[8];\nrz(x2) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x10) q[3];\ncx q[4], q[3];\ncx q[0], q[5];\nrz(x10) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x10) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[4], q[8];\nrz(x10) q[8];\ncx q[4], q[8];\ncx q[3], q[7];\nrz(x10) q[7];\ncx q[3], q[7];\ncx q[8], q[7];\nrz(x10) q[7];\ncx q[8], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[4];\nrz(x15) q[3];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[8];\nrz(x12) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nh q[8];\nrz(x19) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(x20) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(x20) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x20) q[3];\ncx q[4], q[3];\ncx q[0], q[5];\nrz(x20) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x20) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[4], q[8];\nrz(x20) q[8];\ncx q[4], q[8];\ncx q[3], q[7];\nrz(x20) q[7];\ncx q[3], q[7];\ncx q[8], q[7];\nrz(x20) q[7];\ncx q[8], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[4];\nrz(x25) q[3];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x28) q[8];\nrz(x22) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nh q[8];\nrz(x29) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["58fa04385078dcdc0b5f9361c481400a","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [207, 205], \"expectation_value\": -0.6342479415594341, \"params\": [0.6247, 0.1705, 0.874, 0.3271, 0.3098, 0.3884, 0.3269, 0.4011, 0.8151, 0.4052, 0.6392, 0.12010000000000001, 0.5835, -0.30710000000000004, 0.8366, -0.2591, 0.6077, 0.1626, 0.8371000000000001, 0.35300000000000004, 0.27790000000000004, 0.39030000000000004, 0.27690000000000003, 0.39890000000000003, 0.7172000000000001, 0.3919, 0.6263000000000001, 0.1325, 0.5383, -0.30560000000000004, 0.795, -0.2748, 0.6049, 0.0036000000000000003, 0.8674000000000001, 0.007, 0.2684, 0.0067, 0.26930000000000004, 0.0021000000000000003, 0.7976000000000001, 0.0032, 0.6243000000000001, 0.0057, 0.5439, 0.0099, 0.8154, 0.0021000000000000003, 0.1892, 0.41600000000000004, 0.39180000000000004, -0.3821, 0.4117, 0.33190000000000003, -0.08420000000000001, -0.3183, 0.1635, 0.37920000000000004, 0.4051, -0.2252, 0.4076, 0.3386, -0.1047, -0.3169, 0.0047, 0.0098, 0.006, 0.0074, 0.0004, 0.0028, 0.0012000000000000001, 0.003], \"bitstrings\": [\"00110000\", \"00110010\"], \"total_optimization_steps\": 90, \"probabilities\": [0.06530466283702466, 0.07185752257201153], \"optimization_time\": 43.81844139099121}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(4)) + -0.125 * (Z(1) @ Z(4) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(7)) + -0.125 * (Z(6) @ Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(1) @ Z(4) @ Z(7)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(7) @ Z(5)) + 0.0 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.125 * Z(4) + 0.0 * Z(5) + 0.125 * Z(6) + 0.125 * Z(7)",18,8,3,"{\"smallest_eigenvalues\": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], \"number_of_smallest_eigenvalues\": 16, \"first_excited_energy\": -1.125, \"smallest_bitstrings\": [\"00110010\", \"01000110\", \"01010001\", \"01110000\", \"10001001\", \"01010100\", \"00111000\", \"10000110\", \"10010001\", \"10001100\", \"10101000\", \"10000101\", \"00101010\", \"11000100\", \"00100110\", \"00110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.6247) q[0];\nrz(0.1705) q[0];\nrx(0.874) q[1];\nrz(0.3271) q[1];\nrx(0.3098) q[2];\nrz(0.3884) q[2];\nrx(0.3269) q[3];\nrz(0.4011) q[3];\nrx(0.8151) q[4];\nrz(0.4052) q[4];\nrx(0.6392) q[5];\nrz(0.1201) q[5];\nrx(0.5835) q[6];\nrz(-0.3071) q[6];\nrx(0.8366) q[7];\nrz(-0.2591) q[7];\ncrz(0.1892) q[7], q[0];\ncrz(-0.3183) q[6], q[7];\ncrz(-0.0842) q[5], q[6];\ncrz(0.3319) q[4], q[5];\ncrz(0.4117) q[3], q[4];\ncrz(-0.3821) q[2], q[3];\ncrz(0.3918) q[1], q[2];\ncrz(0.416) q[0], q[1];\nrx(0.6077) q[0];\nrz(0.1626) q[0];\nrx(0.8371) q[1];\nrz(0.353) q[1];\nrx(0.2779) q[2];\nrz(0.3903) q[2];\nrx(0.2769) q[3];\nrz(0.3989) q[3];\nrx(0.7172) q[4];\nrz(0.3919) q[4];\nrx(0.6263) q[5];\nrz(0.1325) q[5];\nrx(0.5383) q[6];\nrz(-0.3056) q[6];\nrx(0.795) q[7];\nrz(-0.2748) q[7];\ncrz(0.1635) q[7], q[0];\ncrz(-0.3169) q[6], q[7];\ncrz(-0.1047) q[5], q[6];\ncrz(0.3386) q[4], q[5];\ncrz(0.4076) q[3], q[4];\ncrz(-0.2252) q[2], q[3];\ncrz(0.4051) q[1], q[2];\ncrz(0.3792) q[0], q[1];\nrx(0.6049) q[0];\nrz(0.0036) q[0];\nrx(0.8674) q[1];\nrz(0.007) q[1];\nrx(0.2684) q[2];\nrz(0.0067) q[2];\nrx(0.2693) q[3];\nrz(0.0021) q[3];\nrx(0.7976) q[4];\nrz(0.0032) q[4];\nrx(0.6243) q[5];\nrz(0.0057) q[5];\nrx(0.5439) q[6];\nrz(0.0099) q[6];\nrx(0.8154) q[7];\nrz(0.0021) q[7];\ncrz(0.0047) q[7], q[0];\ncrz(0.003) q[6], q[7];\ncrz(0.0012) q[5], q[6];\ncrz(0.0028) q[4], q[5];\ncrz(0.0004) q[3], q[4];\ncrz(0.0074) q[2], q[3];\ncrz(0.006) q[1], q[2];\ncrz(0.0098) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[0];\ncrz(x17) q[6], q[7];\ncrz(x18) q[5], q[6];\ncrz(x19) q[4], q[5];\ncrz(x20) q[3], q[4];\ncrz(x21) q[2], q[3];\ncrz(x22) q[1], q[2];\ncrz(x23) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\ncrz(x40) q[7], q[0];\ncrz(x41) q[6], q[7];\ncrz(x42) q[5], q[6];\ncrz(x43) q[4], q[5];\ncrz(x44) q[3], q[4];\ncrz(x45) q[2], q[3];\ncrz(x46) q[1], q[2];\ncrz(x47) q[0], q[1];\nrx(x48) q[0];\nrz(x49) q[0];\nrx(x50) q[1];\nrz(x51) q[1];\nrx(x52) q[2];\nrz(x53) q[2];\nrx(x54) q[3];\nrz(x55) q[3];\nrx(x56) q[4];\nrz(x57) q[4];\nrx(x58) q[5];\nrz(x59) q[5];\nrx(x60) q[6];\nrz(x61) q[6];\nrx(x62) q[7];\nrz(x55) q[7];\ncrz(x63) q[7], q[0];\ncrz(x64) q[6], q[7];\ncrz(x65) q[5], q[6];\ncrz(x66) q[4], q[5];\ncrz(x67) q[3], q[4];\ncrz(x68) q[2], q[3];\ncrz(x69) q[1], q[2];\ncrz(x70) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["1d36f605f450bd24c53bed4c61ab6422","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}]}","{\"states\": [51, 35], \"expectation_value\": -0.6990192403016737, \"params\": [[0.0722, 0.061000000000000006, 0.0654], [-0.06860000000000001, -0.0511, -0.0492]], \"bitstrings\": [\"1001100\", \"1011100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.013967852646237365, 0.014448856389640254], \"optimization_time\": 3.7291078567504883}","-0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 * Z(1) + 0.25 * Z(6) + 1.25 * Z(5)",1,7,3,"{\"smallest_eigenvalues\": [-6.0, -6.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"1011100\", \"1001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(-0.0361) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(-0.0361) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(-0.0722) q[4];\ncx q[0], q[4];\ncx q[4], q[2];\nrz(-0.0722) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(-0.0361) q[1];\ncx q[2], q[1];\ncx q[0], q[6];\nrz(0.1444) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(-0.0722) q[6];\ncx q[1], q[6];\ncx q[3], q[5];\nrz(-0.0722) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0722) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0722) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(-0.0361) q[5];\ncx q[6], q[5];\nrz(-0.1444) q[3];\nrz(-0.0361) q[0];\nrz(-0.1083) q[4];\nrz(0.0361) q[2];\nrz(0.0361) q[1];\nrz(0.0361) q[6];\nrz(0.1805) q[5];\nh q[0];\nrz(-0.1372) q[0];\nh q[0];\nh q[1];\nrz(-0.1372) q[1];\nh q[1];\nh q[2];\nrz(-0.1372) q[2];\nh q[2];\nh q[3];\nrz(-0.1372) q[3];\nh q[3];\nh q[4];\nrz(-0.1372) q[4];\nh q[4];\nh q[5];\nrz(-0.1372) q[5];\nh q[5];\nh q[6];\nrz(-0.1372) q[6];\nh q[6];\ncx q[3], q[0];\nrz(-0.0305) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(-0.0305) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(-0.061) q[4];\ncx q[0], q[4];\ncx q[4], q[2];\nrz(-0.061) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(-0.0305) q[1];\ncx q[2], q[1];\ncx q[0], q[6];\nrz(0.122) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(-0.061) q[6];\ncx q[1], q[6];\ncx q[3], q[5];\nrz(-0.061) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.061) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.061) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(-0.0305) q[5];\ncx q[6], q[5];\nrz(-0.122) q[3];\nrz(-0.0305) q[0];\nrz(-0.0915) q[4];\nrz(0.0305) q[2];\nrz(0.0305) q[1];\nrz(0.0305) q[6];\nrz(0.1525) q[5];\nh q[0];\nrz(-0.1022) q[0];\nh q[0];\nh q[1];\nrz(-0.1022) q[1];\nh q[1];\nh q[2];\nrz(-0.1022) q[2];\nh q[2];\nh q[3];\nrz(-0.1022) q[3];\nh q[3];\nh q[4];\nrz(-0.1022) q[4];\nh q[4];\nh q[5];\nrz(-0.1022) q[5];\nh q[5];\nh q[6];\nrz(-0.1022) q[6];\nh q[6];\ncx q[3], q[0];\nrz(-0.0327) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(-0.0327) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(-0.0654) q[4];\ncx q[0], q[4];\ncx q[4], q[2];\nrz(-0.0654) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(-0.0327) q[1];\ncx q[2], q[1];\ncx q[0], q[6];\nrz(0.1308) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(-0.0654) q[6];\ncx q[1], q[6];\ncx q[3], q[5];\nrz(-0.0654) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0654) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0654) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(-0.0327) q[5];\ncx q[6], q[5];\nrz(-0.1308) q[3];\nrz(-0.0327) q[0];\nrz(-0.0981) q[4];\nrz(0.0327) q[2];\nrz(0.0327) q[1];\nrz(0.0327) q[6];\nrz(0.1635) q[5];\nh q[0];\nrz(-0.0984) q[0];\nh q[0];\nh q[1];\nrz(-0.0984) q[1];\nh q[1];\nh q[2];\nrz(-0.0984) q[2];\nh q[2];\nh q[3];\nrz(-0.0984) q[3];\nh q[3];\nh q[4];\nrz(-0.0984) q[4];\nh q[4];\nh q[5];\nrz(-0.0984) q[5];\nh q[5];\nh q[6];\nrz(-0.0984) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\nrz(x3) q[3];\nrz(x0) q[0];\nrz(x4) q[4];\nrz(x5) q[2];\nrz(x5) q[1];\nrz(x5) q[6];\nrz(x6) q[5];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x8) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x8) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[4], q[2];\nrz(x9) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x8) q[1];\ncx q[2], q[1];\ncx q[0], q[6];\nrz(x10) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(x9) q[6];\ncx q[1], q[6];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x9) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(x8) q[5];\ncx q[6], q[5];\nrz(x11) q[3];\nrz(x8) q[0];\nrz(x12) q[4];\nrz(x13) q[2];\nrz(x13) q[1];\nrz(x13) q[6];\nrz(x14) q[5];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x16) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x16) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x17) q[4];\ncx q[0], q[4];\ncx q[4], q[2];\nrz(x17) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x16) q[1];\ncx q[2], q[1];\ncx q[0], q[6];\nrz(x18) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(x17) q[6];\ncx q[1], q[6];\ncx q[3], q[5];\nrz(x17) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x17) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x17) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(x16) q[5];\ncx q[6], q[5];\nrz(x19) q[3];\nrz(x16) q[0];\nrz(x20) q[4];\nrz(x21) q[2];\nrz(x21) q[1];\nrz(x21) q[6];\nrz(x22) q[5];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["44db6493095286b918fb0c5bac33de1d","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [12, 44], \"expectation_value\": -2.3315010912557774, \"params\": [[[0.5488000000000001, 0.12810000000000002], [0.5585, 0.1311], [0.8047000000000001, 0.0023], [0.0028, 0.5967], [0.8036000000000001, 0.0014], [0.8037000000000001, -0.0012000000000000001], [0.0023, 0.5991000000000001], [0.0029000000000000002, 0.5796]], [[0.5475, 0.003], [0.5643, 0.0083], [0.8004, 0.009600000000000001], [0.0028, 0.0086], [0.8079000000000001, 0.0053], [0.8082, 0.00030000000000000003], [0.0023, 0.0037], [0.0029000000000000002, 0.009000000000000001]]], \"bitstrings\": [\"11110011\", \"11010011\"], \"total_optimization_steps\": 80, \"probabilities\": [0.06847968922816591, 0.07335628993648623], \"optimization_time\": 4.358645439147949}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(3)) + -0.125 * (Z(4) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(5) @ Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.625 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -0.625 * Z(6) + -1.0 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-3.875, -3.875, -3.875], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.875, \"smallest_bitstrings\": [\"10010111\", \"01011011\", \"11010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.5488) q[0];\nrz(0.1281) q[0];\nrx(0.5585) q[1];\nrz(0.1311) q[1];\nrx(0.8047) q[2];\nrz(0.0023) q[2];\nrx(0.0028) q[3];\nrz(0.5967) q[3];\nrx(0.8036) q[4];\nrz(0.0014) q[4];\nrx(0.8037) q[5];\nrz(-0.0012) q[5];\nrx(0.0023) q[6];\nrz(0.5991) q[6];\nrx(0.0029) q[7];\nrz(0.5796) q[7];\nrx(0.5475) q[0];\nrz(0.003) q[0];\nrx(0.5643) q[1];\nrz(0.0083) q[1];\nrx(0.8004) q[2];\nrz(0.0096) q[2];\nrx(0.0028) q[3];\nrz(0.0086) q[3];\nrx(0.8079) q[4];\nrz(0.0053) q[4];\nrx(0.8082) q[5];\nrz(0.0003) q[5];\nrx(0.0023) q[6];\nrz(0.0037) q[6];\nrx(0.0029) q[7];\nrz(0.009) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x5) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[0];\nrz(x16) q[0];\nrx(x17) q[1];\nrz(x18) q[1];\nrx(x19) q[2];\nrz(x20) q[2];\nrx(x6) q[3];\nrz(x21) q[3];\nrx(x22) q[4];\nrz(x23) q[4];\nrx(x24) q[5];\nrz(x25) q[5];\nrx(x5) q[6];\nrz(x26) q[6];\nrx(x13) q[7];\nrz(x27) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["7e799239f8573f120a2c5e15cda2e88f","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}]}","{\"states\": [14, 7], \"expectation_value\": -2.4964641631109394, \"params\": null, \"bitstrings\": [\"10001\", \"11000\"], \"total_optimization_steps\": 19, \"probabilities\": [0.06634837994070204, 0.9303663571679487], \"optimization_time\": 8.287782907485962}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4)",1,5,1,"{\"smallest_eigenvalues\": [-2.5, -2.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"10001\", \"11000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\ncry(0.118) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\ncry(0.118) q[3], q[2];\\ncry(0.1156) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\ncry(0.118) q[3], q[2];\\ncry(0.1156) q[2], q[3];\\ncry(-0.0027) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\ncry(0.118) q[3], q[2];\\ncry(0.1156) q[2], q[3];\\ncry(-0.0027) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\ncry(0.118) q[3], q[2];\\ncry(0.1156) q[2], q[3];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0227) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\ncry(0.118) q[3], q[2];\\ncry(0.1156) q[2], q[3];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0227) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\ncry(0.118) q[3], q[2];\\ncry(0.1156) q[2], q[3];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0227) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\ncry(0.118) q[3], q[2];\\ncry(0.1156) q[2], q[3];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0227) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-1.0343) q[4], q[1];\\nry(0.7003) q[4];\\nry(-0.4549) q[1];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[1];\\ncry(0.2489) q[2], q[4];\\ncry(-0.1488) q[2], q[1];\\ncry(0.118) q[3], q[2];\\ncry(0.1156) q[2], q[3];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0227) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.0047, 0.5002, 0.5, 0.2509, 0.2452, 0.1886, 0.2237, 0.1882, 0.1273, 0.0785, 0.0612, 0.0601, 0.0089, 0.0063, 0.0049, 0.0047, 0.0031, 0.0031, 0.0028]}"]
["c12dc8bfc0d8e8bc2e65cda825a741ab","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 2}]}","{\"states\": [3, 1], \"expectation_value\": -0.11018709011519463, \"params\": [[-0.0402, -0.028200000000000003, -0.08020000000000001], [0.055200000000000006, 0.020800000000000003, 0.0673]], \"bitstrings\": [\"100\", \"110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.13434759204846883, 0.14508861480303417], \"optimization_time\": 1.296553611755371}","-0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2)",1,3,3,"{\"smallest_eigenvalues\": [-2.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[1], q[0];\nrz(0.0402) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0201) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0603) q[2];\ncx q[0], q[2];\nrz(0.0201) q[1];\nrz(0.0201) q[0];\nrz(-0.0402) q[2];\nh q[0];\nrz(0.1104) q[0];\nh q[0];\nh q[1];\nrz(0.1104) q[1];\nh q[1];\nh q[2];\nrz(0.1104) q[2];\nh q[2];\ncx q[1], q[0];\nrz(0.0282) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0141) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0423) q[2];\ncx q[0], q[2];\nrz(0.0141) q[1];\nrz(0.0141) q[0];\nrz(-0.0282) q[2];\nh q[0];\nrz(0.0416) q[0];\nh q[0];\nh q[1];\nrz(0.0416) q[1];\nh q[1];\nh q[2];\nrz(0.0416) q[2];\nh q[2];\ncx q[1], q[0];\nrz(0.0802) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0401) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1203) q[2];\ncx q[0], q[2];\nrz(0.0401) q[1];\nrz(0.0401) q[0];\nrz(-0.0802) q[2];\nh q[0];\nrz(0.1346) q[0];\nh q[0];\nh q[1];\nrz(0.1346) q[1];\nh q[1];\nh q[2];\nrz(0.1346) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x3) q[2];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x7) q[2];\ncx q[0], q[2];\nrz(x6) q[1];\nrz(x6) q[0];\nrz(x8) q[2];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x12) q[2];\ncx q[0], q[2];\nrz(x11) q[1];\nrz(x11) q[0];\nrz(x13) q[2];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];","{\"source\": 0, \"sink\": 2}","{\"circuits\": [], \"gradients\": []}"]
["12210bdb8f7c5877d15ce0dea7afc09c","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 8}, {\"source\": 2, \"target\": 9}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 8}, {\"source\": 7, \"target\": 8}]}","{\"states\": [797, 541], \"expectation_value\": -2.964683808546474, \"params\": [[[1.6013000000000002, 0.0021000000000000003], [1.5623, 0.0019], [0.14450000000000002, 0.0099], [0.5475, 0.0027], [0.1437, 0.009300000000000001], [1.603, 0.0035], [1.5891000000000002, 0.0007], [1.5999, 0.0019], [0.14880000000000002, 0.005200000000000001], [1.6077000000000001, 0.0076]]], \"bitstrings\": [\"0011100010\", \"0111100010\"], \"total_optimization_steps\": 160, \"probabilities\": [0.016335587333655515, 0.016615100051138306], \"optimization_time\": 2.9159953594207764}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + 0.0 * Z(6) + -1.0 * Z(8) + -0.5 * Z(9) + -0.5 * Z(5) + -0.5 * Z(7)",1,10,1,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0011101010\", \"0111100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(1.6013) q[0];\nrz(0.0021) q[0];\nrx(1.5623) q[1];\nrz(0.0019) q[1];\nrx(0.1445) q[2];\nrz(0.0099) q[2];\nrx(0.5475) q[3];\nrz(0.0027) q[3];\nrx(0.1437) q[4];\nrz(0.0093) q[4];\nrx(1.603) q[5];\nrz(0.0035) q[5];\nrx(1.5891) q[6];\nrz(0.0007) q[6];\nrx(1.5999) q[7];\nrz(0.0019) q[7];\nrx(0.1488) q[8];\nrz(0.0052) q[8];\nrx(1.6077) q[9];\nrz(0.0076) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x3) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["a617cd4648156ddc77f993201a7a952c","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [70, 7], \"expectation_value\": -12.373769903873796, \"params\": [[0.0129, 0.022500000000000003, 0.0079, 0.0125], [-0.028200000000000003, -0.0519, -0.052700000000000004, -0.0439]], \"bitstrings\": [\"10111001\", \"11111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008112079983223441, 0.008966988056707065], \"optimization_time\": 12.005473613739014}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 3.0 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 3.0 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 2.75 * (Z(7) @ Z(5)) + 2.75 * (Z(7) @ Z(6)) + -7.0 * Z(1) + -7.25 * Z(0) + -7.0 * Z(2) + -7.0 * Z(3) + -7.0 * Z(4) + -6.25 * Z(5) + -6.25 * Z(6) + -6.75 * Z(7)",9,8,4,"{\"smallest_eigenvalues\": [-24.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.75, \"smallest_bitstrings\": [\"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.0709) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0709) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0709) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0709) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0709) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0709) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.0709) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0709) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0709) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0709) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0774) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0774) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.0774) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0774) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0774) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.0774) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0774) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0774) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0774) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0774) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0774) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.0774) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.0709) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.0774) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.0774) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.0774) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0709) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0709) q[7];\ncx q[6], q[7];\nrz(-0.1806) q[1];\nrz(-0.187) q[0];\nrz(-0.1806) q[2];\nrz(-0.1806) q[3];\nrz(-0.1806) q[4];\nrz(-0.1613) q[5];\nrz(-0.1613) q[6];\nrz(-0.1741) q[7];\nh q[0];\nrz(-0.0564) q[0];\nh q[0];\nh q[1];\nrz(-0.0564) q[1];\nh q[1];\nh q[2];\nrz(-0.0564) q[2];\nh q[2];\nh q[3];\nrz(-0.0564) q[3];\nh q[3];\nh q[4];\nrz(-0.0564) q[4];\nh q[4];\nh q[5];\nrz(-0.0564) q[5];\nh q[5];\nh q[6];\nrz(-0.0564) q[6];\nh q[6];\nh q[7];\nrz(-0.0564) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1238) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1238) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1238) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.1238) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.1238) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.1238) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.1238) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.1238) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.1238) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.1238) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.135) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.135) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.135) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.135) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.135) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.135) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.135) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.135) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.135) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.135) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.135) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.135) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.1238) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.135) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.135) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.135) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.1238) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.1238) q[7];\ncx q[6], q[7];\nrz(-0.315) q[1];\nrz(-0.3263) q[0];\nrz(-0.315) q[2];\nrz(-0.315) q[3];\nrz(-0.315) q[4];\nrz(-0.2813) q[5];\nrz(-0.2813) q[6];\nrz(-0.3038) q[7];\nh q[0];\nrz(-0.1038) q[0];\nh q[0];\nh q[1];\nrz(-0.1038) q[1];\nh q[1];\nh q[2];\nrz(-0.1038) q[2];\nh q[2];\nh q[3];\nrz(-0.1038) q[3];\nh q[3];\nh q[4];\nrz(-0.1038) q[4];\nh q[4];\nh q[5];\nrz(-0.1038) q[5];\nh q[5];\nh q[6];\nrz(-0.1038) q[6];\nh q[6];\nh q[7];\nrz(-0.1038) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0435) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0435) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0435) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0435) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0435) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0435) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.0435) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0435) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0435) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0435) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0474) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0474) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.0474) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0474) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0474) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.0474) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0474) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0474) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0474) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0474) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0474) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.0474) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.0435) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.0474) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.0474) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.0474) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0435) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0435) q[7];\ncx q[6], q[7];\nrz(-0.1106) q[1];\nrz(-0.1146) q[0];\nrz(-0.1106) q[2];\nrz(-0.1106) q[3];\nrz(-0.1106) q[4];\nrz(-0.0988) q[5];\nrz(-0.0988) q[6];\nrz(-0.1067) q[7];\nh q[0];\nrz(-0.1054) q[0];\nh q[0];\nh q[1];\nrz(-0.1054) q[1];\nh q[1];\nh q[2];\nrz(-0.1054) q[2];\nh q[2];\nh q[3];\nrz(-0.1054) q[3];\nh q[3];\nh q[4];\nrz(-0.1054) q[4];\nh q[4];\nh q[5];\nrz(-0.1054) q[5];\nh q[5];\nh q[6];\nrz(-0.1054) q[6];\nh q[6];\nh q[7];\nrz(-0.1054) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0688) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0688) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0688) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0688) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0688) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0688) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.0688) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0688) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0688) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0688) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.075) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.075) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.075) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.075) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.075) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.075) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.075) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.075) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.075) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.075) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.075) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.075) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.0688) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.075) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.075) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.075) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0688) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0688) q[7];\ncx q[6], q[7];\nrz(-0.175) q[1];\nrz(-0.1813) q[0];\nrz(-0.175) q[2];\nrz(-0.175) q[3];\nrz(-0.175) q[4];\nrz(-0.1562) q[5];\nrz(-0.1562) q[6];\nrz(-0.1688) q[7];\nh q[0];\nrz(-0.0878) q[0];\nh q[0];\nh q[1];\nrz(-0.0878) q[1];\nh q[1];\nh q[2];\nrz(-0.0878) q[2];\nh q[2];\nh q[3];\nrz(-0.0878) q[3];\nh q[3];\nh q[4];\nrz(-0.0878) q[4];\nh q[4];\nh q[5];\nrz(-0.0878) q[5];\nh q[5];\nh q[6];\nrz(-0.0878) q[6];\nh q[6];\nh q[7];\nrz(-0.0878) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x4) q[5];\nrz(x4) q[6];\nrz(x5) q[7];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x7) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x7) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x7) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x7) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x7) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x8) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x8) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x8) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x8) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x8) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x8) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x8) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x8) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x8) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x8) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x7) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x8) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x8) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x8) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x7) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x7) q[7];\ncx q[6], q[7];\nrz(x9) q[1];\nrz(x10) q[0];\nrz(x9) q[2];\nrz(x9) q[3];\nrz(x9) q[4];\nrz(x11) q[5];\nrz(x11) q[6];\nrz(x12) q[7];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\nh q[7];\nrz(x13) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x14) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x14) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x14) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x14) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x14) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x14) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x14) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x14) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x14) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x14) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x15) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x15) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x15) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x15) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x15) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x15) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x15) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x15) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x15) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x15) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x15) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x15) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x14) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x15) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x15) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x15) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x14) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x14) q[7];\ncx q[6], q[7];\nrz(x16) q[1];\nrz(x17) q[0];\nrz(x16) q[2];\nrz(x16) q[3];\nrz(x16) q[4];\nrz(x18) q[5];\nrz(x18) q[6];\nrz(x19) q[7];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nh q[7];\nrz(x20) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x21) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x21) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x21) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x21) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x21) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x21) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x21) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x21) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x21) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x21) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x22) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x22) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x22) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x22) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x22) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x22) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x22) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x22) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x22) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x22) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x22) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x22) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x21) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x22) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x22) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x22) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x21) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x21) q[7];\ncx q[6], q[7];\nrz(x23) q[1];\nrz(x24) q[0];\nrz(x23) q[2];\nrz(x23) q[3];\nrz(x23) q[4];\nrz(x25) q[5];\nrz(x25) q[6];\nrz(x26) q[7];\nh q[0];\nrz(x27) q[0];\nh q[0];\nh q[1];\nrz(x27) q[1];\nh q[1];\nh q[2];\nrz(x27) q[2];\nh q[2];\nh q[3];\nrz(x27) q[3];\nh q[3];\nh q[4];\nrz(x27) q[4];\nh q[4];\nh q[5];\nrz(x27) q[5];\nh q[5];\nh q[6];\nrz(x27) q[6];\nh q[6];\nh q[7];\nrz(x27) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["4c5a23f8c8a34bc9c0e926b6ce68cf56","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 6, \"target\": 7}]}","{\"states\": [124, 127], \"expectation_value\": -1.9824099301492069, \"params\": [[-0.0785], [0.0786]], \"bitstrings\": [\"0000011\", \"0000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.014303046136399709, 0.014303046136399709], \"optimization_time\": 0.5492565631866455}","-2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-17.5, -17.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"0000000\", \"0000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.3925) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.3925) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.314) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.2355) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.3925) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.3925) q[4];\ncx q[2], q[4];\ncx q[1], q[3];\nrz(0.3925) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.157) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.157) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.3925) q[3];\ncx q[4], q[3];\ncx q[6], q[5];\nrz(0.2355) q[5];\ncx q[6], q[5];\nrz(-0.0785) q[1];\nrz(-0.0785) q[0];\nrz(-0.0785) q[2];\nrz(-0.0785) q[4];\nrz(-0.0785) q[3];\nrz(-0.157) q[6];\nrz(0.157) q[5];\nh q[0];\nrz(0.1572) q[0];\nh q[0];\nh q[1];\nrz(0.1572) q[1];\nh q[1];\nh q[2];\nrz(0.1572) q[2];\nh q[2];\nh q[3];\nrz(0.1572) q[3];\nh q[3];\nh q[4];\nrz(0.1572) q[4];\nh q[4];\nh q[5];\nrz(0.1572) q[5];\nh q[5];\nh q[6];\nrz(0.1572) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x3) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x3) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[6], q[5];\nrz(x4) q[5];\ncx q[6], q[5];\nrz(x5) q[1];\nrz(x5) q[0];\nrz(x5) q[2];\nrz(x5) q[4];\nrz(x5) q[3];\nrz(x3) q[6];\nrz(x6) q[5];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"node\": 5}","{\"circuits\": [], \"gradients\": []}"]
["56bf2b9b5079d42e66a4e14293694014","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 7}, {\"weight\": 6, \"source\": 1, \"target\": 8}, {\"weight\": 19, \"source\": 1, \"target\": 11}, {\"weight\": 18, \"source\": 1, \"target\": 13}, {\"weight\": 7, \"source\": 2, \"target\": 9}, {\"weight\": 14, \"source\": 2, \"target\": 7}, {\"weight\": 1, \"source\": 3, \"target\": 10}, {\"weight\": 19, \"source\": 3, \"target\": 7}, {\"weight\": 5, \"source\": 4, \"target\": 11}, {\"weight\": 3, \"source\": 5, \"target\": 12}, {\"weight\": 6, \"source\": 6, \"target\": 13}, {\"weight\": 19, \"source\": 6, \"target\": 9}]}","{\"states\": [1745, 1681], \"expectation_value\": -65.23018612784095, \"params\": [0.6618, 0.17600000000000002, 0.9978, 0.0143, 0.9938, 0.0342, 0.7914, 0.2195, 0.9985, 0.0427, 0.7911, 0.22010000000000002, -0.0024000000000000002, 0.6598, 1.0079, 0.0115, -0.0059, 0.518, 0.005, 0.13720000000000002, 0.7903, 0.26130000000000003, 1.002, 0.2028, 0.6634, 0.0035, 0.9963000000000001, 0.0031000000000000003, 0.9948, 0.0098, 0.7922, 0.009600000000000001, 1.0010000000000001, 0.0047, 0.7925000000000001, 0.0018000000000000002, -0.0024000000000000002, 0.004200000000000001, 1.0074, 0.0068000000000000005, -0.0032, 0.0082, -0.0005, 0.0097, 0.79, 0.008, 1.0002, 0.003, 0.0381, 0.0046, 0.008400000000000001, 0.036500000000000005, 0.22210000000000002, 0.009600000000000001, 0.004200000000000001, 0.10020000000000001, 0.22590000000000002, 0.0016, 0.008700000000000001, -0.6342, 0.0131, 0.0011, 0.0027, -0.3173, -0.1192, 0.0037, 0.0064, -0.251, 0.33130000000000004, 0.0015, 0.0068000000000000005, 0.0036000000000000003, 0.0027, 0.0088, 0.0, 0.006900000000000001, 0.0066, 0.0066, 0.0045000000000000005, 0.0091, 0.004, 0.0001, 0.0049, 0.0071, 0.0066, 0.005, 0.0086, 0.0085, 0.0081, 0.0045000000000000005, 0.0063, 0.0081, 0.0007, 0.0009000000000000001, 0.0047, 0.00030000000000000003], \"bitstrings\": [\"100100101110\", \"100101101110\"], \"total_optimization_steps\": 100, \"probabilities\": [0.014953286467935551, 0.015038589020083957], \"optimization_time\": 12.072137832641602}","8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(0) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(10) @ Z(2)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 3.0 * Z(3) + 17.5 * Z(1) + 17.0 * Z(2) + 15.0 * Z(4) + 1.0 * Z(0) + 3.5 * Z(5) + 17.5 * Z(7) + -7.5 * Z(6) + -5.5 * Z(8) + 3.0 * Z(10) + 9.5 * Z(11) + -14.5 * Z(9)",16,12,2,"{\"smallest_eigenvalues\": [-157.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -132.5, \"smallest_bitstrings\": [\"100101101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.6618) q[0];\nrz(0.176) q[0];\nrx(0.9978) q[1];\nrz(0.0143) q[1];\nrx(0.9938) q[2];\nrz(0.0342) q[2];\nrx(0.7914) q[3];\nrz(0.2195) q[3];\nrx(0.9985) q[4];\nrz(0.0427) q[4];\nrx(0.7911) q[5];\nrz(0.2201) q[5];\nrx(-0.0024) q[6];\nrz(0.6598) q[6];\nrx(1.0079) q[7];\nrz(0.0115) q[7];\nrx(-0.0059) q[8];\nrz(0.518) q[8];\nrx(0.005) q[9];\nrz(0.1372) q[9];\nrx(0.7903) q[10];\nrz(0.2613) q[10];\nrx(1.002) q[11];\nrz(0.2028) q[11];\ncrz(0.0381) q[1], q[0];\ncrz(0.2221) q[3], q[2];\ncrz(0.2259) q[5], q[4];\ncrz(0.0131) q[7], q[6];\ncrz(-0.1192) q[9], q[8];\ncrz(0.3313) q[11], q[10];\ncrz(0.0365) q[2], q[1];\ncrz(0.1002) q[4], q[3];\ncrz(-0.6342) q[6], q[5];\ncrz(-0.3173) q[8], q[7];\ncrz(-0.251) q[10], q[9];\nrx(0.6634) q[0];\nrz(0.0035) q[0];\nrx(0.9963) q[1];\nrz(0.0031) q[1];\nrx(0.9948) q[2];\nrz(0.0098) q[2];\nrx(0.7922) q[3];\nrz(0.0096) q[3];\nrx(1.001) q[4];\nrz(0.0047) q[4];\nrx(0.7925) q[5];\nrz(0.0018) q[5];\nrx(-0.0024) q[6];\nrz(0.0042) q[6];\nrx(1.0074) q[7];\nrz(0.0068) q[7];\nrx(-0.0032) q[8];\nrz(0.0082) q[8];\nrx(-0.0005) q[9];\nrz(0.0097) q[9];\nrx(0.79) q[10];\nrz(0.008) q[10];\nrx(1.0002) q[11];\nrz(0.003) q[11];\ncrz(0.0027) q[1], q[0];\ncrz(0.0066) q[3], q[2];\ncrz(0.004) q[5], q[4];\ncrz(0.0066) q[7], q[6];\ncrz(0.0081) q[9], q[8];\ncrz(0.0007) q[11], q[10];\ncrz(0.0069) q[2], q[1];\ncrz(0.0091) q[4], q[3];\ncrz(0.0071) q[6], q[5];\ncrz(0.0085) q[8], q[7];\ncrz(0.0081) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[1], q[0];\ncrz(x25) q[3], q[2];\ncrz(x26) q[5], q[4];\ncrz(x27) q[7], q[6];\ncrz(x28) q[9], q[8];\ncrz(x29) q[11], q[10];\ncrz(x30) q[2], q[1];\ncrz(x31) q[4], q[3];\ncrz(x32) q[6], q[5];\ncrz(x33) q[8], q[7];\ncrz(x34) q[10], q[9];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x41) q[3];\nrz(x42) q[3];\nrx(x43) q[4];\nrz(x44) q[4];\nrx(x45) q[5];\nrz(x46) q[5];\nrx(x12) q[6];\nrz(x47) q[6];\nrx(x48) q[7];\nrz(x49) q[7];\nrx(x50) q[8];\nrz(x51) q[8];\nrx(x52) q[9];\nrz(x53) q[9];\nrx(x54) q[10];\nrz(x55) q[10];\nrx(x56) q[11];\nrz(x57) q[11];\ncrz(x58) q[1], q[0];\ncrz(x59) q[3], q[2];\ncrz(x60) q[5], q[4];\ncrz(x59) q[7], q[6];\ncrz(x61) q[9], q[8];\ncrz(x62) q[11], q[10];\ncrz(x63) q[2], q[1];\ncrz(x64) q[4], q[3];\ncrz(x65) q[6], q[5];\ncrz(x66) q[8], q[7];\ncrz(x61) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["a20be77afa1a8b9b75f27972fb6e9517","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 7, \"source\": 1, \"target\": 6}, {\"capacity\": 5, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 7, \"source\": 2, \"target\": 3}, {\"capacity\": 7, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 4, \"source\": 6, \"target\": 7}]}","{\"states\": [73, 75], \"expectation_value\": -16.656036797726205, \"params\": [-0.0088, 0.9593, 0.7847000000000001, 0.0068000000000000005, 0.0037, 0.8875000000000001, 0.0024000000000000002, 0.9078, 0.7891, 0.1826, -0.0008, 0.6888000000000001, 0.5307000000000001, 0.47140000000000004, 0.7928000000000001, 0.0074, 0.0048000000000000004, 1.1421000000000001, 0.7871, 0.0094, 0.003, 1.1414, 0.0032, 0.4375, 0.7878000000000001, 0.2546, 0.0031000000000000003, 1.1124, 0.5259, 1.209, 0.8019000000000001, 0.008700000000000001, 0.0046, 0.9564, 0.7924, 0.007200000000000001, 0.0024000000000000002, 1.1205, -0.0034000000000000002, 0.8104, 0.7906000000000001, 0.28450000000000003, 0.004200000000000001, 1.1203, -0.5256000000000001, 0.5519000000000001, 0.7783, 0.0029000000000000002, -0.008, 0.0083, 0.7832, 0.008700000000000001, 0.0039000000000000003, 0.0092, -0.0025, 0.005200000000000001, 0.7862, 0.0054, 0.002, 0.0067, -0.519, 0.008400000000000001, 0.7773, 0.0095, -0.0005, -0.8812000000000001, -0.9051, 0.3632, -0.6584, -0.46790000000000004, -0.0999, 0.0137, -0.5656, -0.4354, 0.5033, -0.5984, -1.2036, 0.2366, 0.018500000000000003, -0.3911, -0.7986000000000001, 0.5549000000000001, 0.1039, -0.5353, -0.19210000000000002, 0.0068000000000000005, 0.0019, 0.0076, 0.0098, 0.0015, 0.0016, 0.0011], \"bitstrings\": [\"10110110\", \"10110100\"], \"total_optimization_steps\": 180, \"probabilities\": [0.33865878751721923, 0.6608482356456344], \"optimization_time\": 49.32745385169983}","-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(5) + -1.5 * Z(6) + 1.25 * Z(7) + 1.5 * Z(1) + -0.5 * Z(2) + 1.25 * Z(4)",3,8,4,"{\"smallest_eigenvalues\": [-17.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.0, \"smallest_bitstrings\": [\"10110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-0.0088) q[0];\nrz(0.9593) q[0];\nrx(0.7847) q[1];\nrz(0.0068) q[1];\nrx(0.0037) q[2];\nrz(0.8875) q[2];\nrx(0.0024) q[3];\nrz(0.9078) q[3];\nrx(0.7891) q[4];\nrz(0.1826) q[4];\nrx(-0.0008) q[5];\nrz(0.6888) q[5];\nrx(0.5307) q[6];\nrz(0.4714) q[6];\nrx(0.7928) q[7];\nrz(0.0074) q[7];\ncrz(-0.0999) q[7], q[6];\ncrz(-0.4679) q[6], q[5];\ncrz(-0.6584) q[5], q[4];\ncrz(0.3632) q[4], q[3];\ncrz(-0.9051) q[3], q[2];\ncrz(-0.8812) q[2], q[1];\ncrz(-0.0005) q[1], q[0];\nrx(0.0048) q[0];\nrz(1.1421) q[0];\nrx(0.7871) q[1];\nrz(0.0094) q[1];\nrx(0.003) q[2];\nrz(1.1414) q[2];\nrx(0.0032) q[3];\nrz(0.4375) q[3];\nrx(0.7878) q[4];\nrz(0.2546) q[4];\nrx(0.0031) q[5];\nrz(1.1124) q[5];\nrx(0.5259) q[6];\nrz(1.209) q[6];\nrx(0.8019) q[7];\nrz(0.0087) q[7];\ncrz(0.2366) q[7], q[6];\ncrz(-1.2036) q[6], q[5];\ncrz(-0.5984) q[5], q[4];\ncrz(0.5033) q[4], q[3];\ncrz(-0.4354) q[3], q[2];\ncrz(-0.5656) q[2], q[1];\ncrz(0.0137) q[1], q[0];\nrx(0.0046) q[0];\nrz(0.9564) q[0];\nrx(0.7924) q[1];\nrz(0.0072) q[1];\nrx(0.0024) q[2];\nrz(1.1205) q[2];\nrx(-0.0034) q[3];\nrz(0.8104) q[3];\nrx(0.7906) q[4];\nrz(0.2845) q[4];\nrx(0.0042) q[5];\nrz(1.1203) q[5];\nrx(-0.5256) q[6];\nrz(0.5519) q[6];\nrx(0.7783) q[7];\nrz(0.0029) q[7];\ncrz(-0.1921) q[7], q[6];\ncrz(-0.5353) q[6], q[5];\ncrz(0.1039) q[5], q[4];\ncrz(0.5549) q[4], q[3];\ncrz(-0.7986) q[3], q[2];\ncrz(-0.3911) q[2], q[1];\ncrz(0.0185) q[1], q[0];\nrx(-0.008) q[0];\nrz(0.0083) q[0];\nrx(0.7832) q[1];\nrz(0.0087) q[1];\nrx(0.0039) q[2];\nrz(0.0092) q[2];\nrx(-0.0025) q[3];\nrz(0.0052) q[3];\nrx(0.7862) q[4];\nrz(0.0054) q[4];\nrx(0.002) q[5];\nrz(0.0067) q[5];\nrx(-0.519) q[6];\nrz(0.0084) q[6];\nrx(0.7773) q[7];\nrz(0.0095) q[7];\ncrz(0.0011) q[7], q[6];\ncrz(0.0016) q[6], q[5];\ncrz(0.0015) q[5], q[4];\ncrz(0.0098) q[4], q[3];\ncrz(0.0076) q[3], q[2];\ncrz(0.0019) q[2], q[1];\ncrz(0.0068) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[6], q[5];\ncrz(x18) q[5], q[4];\ncrz(x19) q[4], q[3];\ncrz(x20) q[3], q[2];\ncrz(x21) q[2], q[1];\ncrz(x22) q[1], q[0];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\ncrz(x39) q[7], q[6];\ncrz(x40) q[6], q[5];\ncrz(x41) q[5], q[4];\ncrz(x42) q[4], q[3];\ncrz(x43) q[3], q[2];\ncrz(x44) q[2], q[1];\ncrz(x45) q[1], q[0];\nrx(x46) q[0];\nrz(x47) q[0];\nrx(x48) q[1];\nrz(x49) q[1];\nrx(x6) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x59) q[7];\nrz(x60) q[7];\ncrz(x61) q[7], q[6];\ncrz(x62) q[6], q[5];\ncrz(x63) q[5], q[4];\ncrz(x64) q[4], q[3];\ncrz(x65) q[3], q[2];\ncrz(x66) q[2], q[1];\ncrz(x67) q[1], q[0];\nrx(x68) q[0];\nrz(x69) q[0];\nrx(x70) q[1];\nrz(x38) q[1];\nrx(x71) q[2];\nrz(x72) q[2];\nrx(x73) q[3];\nrz(x74) q[3];\nrx(x75) q[4];\nrz(x76) q[4];\nrx(x77) q[5];\nrz(x78) q[5];\nrx(x79) q[6];\nrz(x80) q[6];\nrx(x81) q[7];\nrz(x82) q[7];\ncrz(x83) q[7], q[6];\ncrz(x84) q[6], q[5];\ncrz(x85) q[5], q[4];\ncrz(x86) q[4], q[3];\ncrz(x87) q[3], q[2];\ncrz(x88) q[2], q[1];\ncrz(x3) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["712b030d217f3cf9b2b341027ce3b496","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 14, \"source\": 1, \"target\": 6}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 14, \"source\": 2, \"target\": 4}, {\"weight\": 16, \"source\": 3, \"target\": 6}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 11, \"source\": 5, \"target\": 7}, {\"weight\": 10, \"source\": 6, \"target\": 7}]}","{\"states\": [219, 218], \"expectation_value\": -71.03949686819102, \"params\": [0.06380000000000001, -0.201, 0.07400000000000001, -0.2102, 0.44370000000000004, -0.0068000000000000005, 0.4751, -0.0068000000000000005, 0.4242, -0.014100000000000001, 0.4635, -0.0102, -0.0019, 0.2015, -0.0071, 0.2051, 0.45330000000000004, -0.029300000000000003, 0.4736, -0.014, 0.4505, -0.037000000000000005, 0.4617, -0.0247, 0.027800000000000002, 0.222, 0.0017000000000000001, 0.221, 0.4375, -0.054, 0.4454, -0.0176, 0.1666, 0.17250000000000001, 0.1565, 0.1693, 0.0671, -0.2028, 0.06720000000000001, -0.2104, 0.47650000000000003, 0.0007, 0.4358, -0.005200000000000001, 0.4685, 0.0013000000000000002, 0.43870000000000003, -0.0026000000000000003, -0.0123, 0.20750000000000002, -0.016900000000000002, 0.2053, 0.4762, -0.0006000000000000001, 0.4217, -0.0022, 0.46340000000000003, -0.015600000000000001, 0.4338, -0.0056, 0.004, 0.2235, -0.0086, 0.2215, 0.4465, 0.0018000000000000002, 0.42660000000000003, -0.006, 0.163, 0.17170000000000002, 0.1529, 0.17650000000000002, 0.06570000000000001, -0.2054, 0.0718, -0.2184, 0.4324, 0.0013000000000000002, 0.301, -0.0028, 0.4385, 0.0051, 0.30670000000000003, -0.0005, -0.0105, 0.2061, -0.008, 0.19010000000000002, 0.42410000000000003, 0.0056, 0.3125, -0.0054, 0.4393, -0.0025, 0.2993, -0.0188, -0.005, 0.2217, -0.0184, 0.2114, 0.4219, -0.0118, 0.3416, -0.0287, 0.15230000000000002, 0.1839, 0.1584, 0.1806, 0.078, -0.2257, 0.2679, 0.0076, 0.2949, 0.0037, 0.2938, 0.003, 0.308, 0.0041, 0.2993, 0.006500000000000001, -0.013000000000000001, 0.1731, 0.0236, 0.0001, 0.3062, -0.0091, 0.29810000000000003, 0.0089, 0.301, -0.027700000000000002, 0.2968, 0.0051, -0.0313, 0.1917, 0.0258, 0.0099, 0.33840000000000003, -0.0688, 0.29710000000000003, 0.0088, 0.15330000000000002, 0.2147, 0.3166, 0.0014, -0.17070000000000002, -0.1228, -0.1396, -0.0034000000000000002, -0.10650000000000001, -0.1567, -0.0129, -0.1278, 0.0449, -0.19210000000000002, 0.028200000000000003, -0.0002, 0.1047, -0.007200000000000001, -0.0235, 0.0834, -0.035, 0.1784, -0.2087, 0.004, 0.0178, 0.15560000000000002, 0.038700000000000005, 0.0443, 0.12340000000000001, 0.0458, 0.2124, -0.2384, 0.0201, 0.0211, 0.17700000000000002, 0.0292, 0.0328, 0.12090000000000001, 0.051800000000000006, 0.2174], \"bitstrings\": [\"100100100\", \"100100101\"], \"total_optimization_steps\": 50, \"probabilities\": [0.027526920317024414, 0.9497879555689914], \"optimization_time\": 223.4631688594818}","5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 4.0 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 1.5 * Z(3) + 13.0 * Z(5) + 0.5 * Z(6) + 10.5 * Z(7) + 15.0 * Z(8)",5,9,4,"{\"smallest_eigenvalues\": [-72.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -65.0, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0638) q[0];\nrz(-0.201) q[0];\nrx(0.4437) q[1];\nrz(-0.0068) q[1];\nrx(0.4242) q[2];\nrz(-0.0141) q[2];\nrx(-0.0019) q[3];\nrz(0.2015) q[3];\nrx(0.4533) q[4];\nrz(-0.0293) q[4];\nrx(0.4505) q[5];\nrz(-0.037) q[5];\nrx(0.0278) q[6];\nrz(0.222) q[6];\nrx(0.4375) q[7];\nrz(-0.054) q[7];\nrx(0.1666) q[8];\nrz(0.1725) q[8];\ncrz(-0.1278) q[8], q[7];\ncrz(-0.0129) q[8], q[6];\ncrz(-0.1567) q[8], q[5];\ncrz(-0.1065) q[8], q[4];\ncrz(-0.0034) q[8], q[3];\ncrz(-0.1396) q[8], q[2];\ncrz(-0.1228) q[8], q[1];\ncrz(-0.1707) q[8], q[0];\ncrz(0.0449) q[7], q[8];\ncrz(-0.0129) q[7], q[6];\ncrz(-0.1567) q[7], q[5];\ncrz(-0.1065) q[7], q[4];\ncrz(-0.0034) q[7], q[3];\ncrz(-0.1396) q[7], q[2];\ncrz(-0.1228) q[7], q[1];\ncrz(-0.1707) q[7], q[0];\ncrz(0.0449) q[6], q[8];\ncrz(-0.1278) q[6], q[7];\ncrz(-0.1567) q[6], q[5];\ncrz(-0.1065) q[6], q[4];\ncrz(-0.0034) q[6], q[3];\ncrz(-0.1396) q[6], q[2];\ncrz(-0.1228) q[6], q[1];\ncrz(-0.1707) q[6], q[0];\ncrz(0.0449) q[5], q[8];\ncrz(-0.1278) q[5], q[7];\ncrz(-0.0129) q[5], q[6];\ncrz(-0.1065) q[5], q[4];\ncrz(-0.0034) q[5], q[3];\ncrz(-0.1396) q[5], q[2];\ncrz(-0.1228) q[5], q[1];\ncrz(-0.1707) q[5], q[0];\ncrz(0.0449) q[4], q[8];\ncrz(-0.1278) q[4], q[7];\ncrz(-0.0129) q[4], q[6];\ncrz(-0.1567) q[4], q[5];\ncrz(-0.0034) q[4], q[3];\ncrz(-0.1396) q[4], q[2];\ncrz(-0.1228) q[4], q[1];\ncrz(-0.1707) q[4], q[0];\ncrz(0.0449) q[3], q[8];\ncrz(-0.1278) q[3], q[7];\ncrz(-0.0129) q[3], q[6];\ncrz(-0.1567) q[3], q[5];\ncrz(-0.1065) q[3], q[4];\ncrz(-0.1396) q[3], q[2];\ncrz(-0.1228) q[3], q[1];\ncrz(-0.1707) q[3], q[0];\ncrz(0.0449) q[2], q[8];\ncrz(-0.1278) q[2], q[7];\ncrz(-0.0129) q[2], q[6];\ncrz(-0.1567) q[2], q[5];\ncrz(-0.1065) q[2], q[4];\ncrz(-0.0034) q[2], q[3];\ncrz(-0.1228) q[2], q[1];\ncrz(-0.1707) q[2], q[0];\ncrz(0.0449) q[1], q[8];\ncrz(-0.1278) q[1], q[7];\ncrz(-0.0129) q[1], q[6];\ncrz(-0.1567) q[1], q[5];\ncrz(-0.1065) q[1], q[4];\ncrz(-0.0034) q[1], q[3];\ncrz(-0.1396) q[1], q[2];\ncrz(-0.1707) q[1], q[0];\ncrz(0.0449) q[0], q[8];\ncrz(-0.1278) q[0], q[7];\ncrz(-0.0129) q[0], q[6];\ncrz(-0.1567) q[0], q[5];\ncrz(-0.1065) q[0], q[4];\ncrz(-0.0034) q[0], q[3];\ncrz(-0.1396) q[0], q[2];\ncrz(-0.1228) q[0], q[1];\nrx(0.074) q[0];\nrz(-0.2102) q[0];\nrx(0.4751) q[1];\nrz(-0.0068) q[1];\nrx(0.4635) q[2];\nrz(-0.0102) q[2];\nrx(-0.0071) q[3];\nrz(0.2051) q[3];\nrx(0.4736) q[4];\nrz(-0.014) q[4];\nrx(0.4617) q[5];\nrz(-0.0247) q[5];\nrx(0.0017) q[6];\nrz(0.221) q[6];\nrx(0.4454) q[7];\nrz(-0.0176) q[7];\nrx(0.1565) q[8];\nrz(0.1693) q[8];\nrx(0.0671) q[0];\nrz(-0.2028) q[0];\nrx(0.4765) q[1];\nrz(0.0007) q[1];\nrx(0.4685) q[2];\nrz(0.0013) q[2];\nrx(-0.0123) q[3];\nrz(0.2075) q[3];\nrx(0.4762) q[4];\nrz(-0.0006) q[4];\nrx(0.4634) q[5];\nrz(-0.0156) q[5];\nrx(0.004) q[6];\nrz(0.2235) q[6];\nrx(0.4465) q[7];\nrz(0.0018) q[7];\nrx(0.163) q[8];\nrz(0.1717) q[8];\ncrz(-0.035) q[8], q[7];\ncrz(0.0834) q[8], q[6];\ncrz(-0.0235) q[8], q[5];\ncrz(-0.0072) q[8], q[4];\ncrz(0.1047) q[8], q[3];\ncrz(-0.0002) q[8], q[2];\ncrz(0.0282) q[8], q[1];\ncrz(-0.1921) q[8], q[0];\ncrz(0.1784) q[7], q[8];\ncrz(0.0834) q[7], q[6];\ncrz(-0.0235) q[7], q[5];\ncrz(-0.0072) q[7], q[4];\ncrz(0.1047) q[7], q[3];\ncrz(-0.0002) q[7], q[2];\ncrz(0.0282) q[7], q[1];\ncrz(-0.1921) q[7], q[0];\ncrz(0.1784) q[6], q[8];\ncrz(-0.035) q[6], q[7];\ncrz(-0.0235) q[6], q[5];\ncrz(-0.0072) q[6], q[4];\ncrz(0.1047) q[6], q[3];\ncrz(-0.0002) q[6], q[2];\ncrz(0.0282) q[6], q[1];\ncrz(-0.1921) q[6], q[0];\ncrz(0.1784) q[5], q[8];\ncrz(-0.035) q[5], q[7];\ncrz(0.0834) q[5], q[6];\ncrz(-0.0072) q[5], q[4];\ncrz(0.1047) q[5], q[3];\ncrz(-0.0002) q[5], q[2];\ncrz(0.0282) q[5], q[1];\ncrz(-0.1921) q[5], q[0];\ncrz(0.1784) q[4], q[8];\ncrz(-0.035) q[4], q[7];\ncrz(0.0834) q[4], q[6];\ncrz(-0.0235) q[4], q[5];\ncrz(0.1047) q[4], q[3];\ncrz(-0.0002) q[4], q[2];\ncrz(0.0282) q[4], q[1];\ncrz(-0.1921) q[4], q[0];\ncrz(0.1784) q[3], q[8];\ncrz(-0.035) q[3], q[7];\ncrz(0.0834) q[3], q[6];\ncrz(-0.0235) q[3], q[5];\ncrz(-0.0072) q[3], q[4];\ncrz(-0.0002) q[3], q[2];\ncrz(0.0282) q[3], q[1];\ncrz(-0.1921) q[3], q[0];\ncrz(0.1784) q[2], q[8];\ncrz(-0.035) q[2], q[7];\ncrz(0.0834) q[2], q[6];\ncrz(-0.0235) q[2], q[5];\ncrz(-0.0072) q[2], q[4];\ncrz(0.1047) q[2], q[3];\ncrz(0.0282) q[2], q[1];\ncrz(-0.1921) q[2], q[0];\ncrz(0.1784) q[1], q[8];\ncrz(-0.035) q[1], q[7];\ncrz(0.0834) q[1], q[6];\ncrz(-0.0235) q[1], q[5];\ncrz(-0.0072) q[1], q[4];\ncrz(0.1047) q[1], q[3];\ncrz(-0.0002) q[1], q[2];\ncrz(-0.1921) q[1], q[0];\ncrz(0.1784) q[0], q[8];\ncrz(-0.035) q[0], q[7];\ncrz(0.0834) q[0], q[6];\ncrz(-0.0235) q[0], q[5];\ncrz(-0.0072) q[0], q[4];\ncrz(0.1047) q[0], q[3];\ncrz(-0.0002) q[0], q[2];\ncrz(0.0282) q[0], q[1];\nrx(0.0672) q[0];\nrz(-0.2104) q[0];\nrx(0.4358) q[1];\nrz(-0.0052) q[1];\nrx(0.4387) q[2];\nrz(-0.0026) q[2];\nrx(-0.0169) q[3];\nrz(0.2053) q[3];\nrx(0.4217) q[4];\nrz(-0.0022) q[4];\nrx(0.4338) q[5];\nrz(-0.0056) q[5];\nrx(-0.0086) q[6];\nrz(0.2215) q[6];\nrx(0.4266) q[7];\nrz(-0.006) q[7];\nrx(0.1529) q[8];\nrz(0.1765) q[8];\nrx(0.0657) q[0];\nrz(-0.2054) q[0];\nrx(0.4324) q[1];\nrz(0.0013) q[1];\nrx(0.4385) q[2];\nrz(0.0051) q[2];\nrx(-0.0105) q[3];\nrz(0.2061) q[3];\nrx(0.4241) q[4];\nrz(0.0056) q[4];\nrx(0.4393) q[5];\nrz(-0.0025) q[5];\nrx(-0.005) q[6];\nrz(0.2217) q[6];\nrx(0.4219) q[7];\nrz(-0.0118) q[7];\nrx(0.1523) q[8];\nrz(0.1839) q[8];\ncrz(0.0458) q[8], q[7];\ncrz(0.1234) q[8], q[6];\ncrz(0.0443) q[8], q[5];\ncrz(0.0387) q[8], q[4];\ncrz(0.1556) q[8], q[3];\ncrz(0.0178) q[8], q[2];\ncrz(0.004) q[8], q[1];\ncrz(-0.2087) q[8], q[0];\ncrz(0.2124) q[7], q[8];\ncrz(0.1234) q[7], q[6];\ncrz(0.0443) q[7], q[5];\ncrz(0.0387) q[7], q[4];\ncrz(0.1556) q[7], q[3];\ncrz(0.0178) q[7], q[2];\ncrz(0.004) q[7], q[1];\ncrz(-0.2087) q[7], q[0];\ncrz(0.2124) q[6], q[8];\ncrz(0.0458) q[6], q[7];\ncrz(0.0443) q[6], q[5];\ncrz(0.0387) q[6], q[4];\ncrz(0.1556) q[6], q[3];\ncrz(0.0178) q[6], q[2];\ncrz(0.004) q[6], q[1];\ncrz(-0.2087) q[6], q[0];\ncrz(0.2124) q[5], q[8];\ncrz(0.0458) q[5], q[7];\ncrz(0.1234) q[5], q[6];\ncrz(0.0387) q[5], q[4];\ncrz(0.1556) q[5], q[3];\ncrz(0.0178) q[5], q[2];\ncrz(0.004) q[5], q[1];\ncrz(-0.2087) q[5], q[0];\ncrz(0.2124) q[4], q[8];\ncrz(0.0458) q[4], q[7];\ncrz(0.1234) q[4], q[6];\ncrz(0.0443) q[4], q[5];\ncrz(0.1556) q[4], q[3];\ncrz(0.0178) q[4], q[2];\ncrz(0.004) q[4], q[1];\ncrz(-0.2087) q[4], q[0];\ncrz(0.2124) q[3], q[8];\ncrz(0.0458) q[3], q[7];\ncrz(0.1234) q[3], q[6];\ncrz(0.0443) q[3], q[5];\ncrz(0.0387) q[3], q[4];\ncrz(0.0178) q[3], q[2];\ncrz(0.004) q[3], q[1];\ncrz(-0.2087) q[3], q[0];\ncrz(0.2124) q[2], q[8];\ncrz(0.0458) q[2], q[7];\ncrz(0.1234) q[2], q[6];\ncrz(0.0443) q[2], q[5];\ncrz(0.0387) q[2], q[4];\ncrz(0.1556) q[2], q[3];\ncrz(0.004) q[2], q[1];\ncrz(-0.2087) q[2], q[0];\ncrz(0.2124) q[1], q[8];\ncrz(0.0458) q[1], q[7];\ncrz(0.1234) q[1], q[6];\ncrz(0.0443) q[1], q[5];\ncrz(0.0387) q[1], q[4];\ncrz(0.1556) q[1], q[3];\ncrz(0.0178) q[1], q[2];\ncrz(-0.2087) q[1], q[0];\ncrz(0.2124) q[0], q[8];\ncrz(0.0458) q[0], q[7];\ncrz(0.1234) q[0], q[6];\ncrz(0.0443) q[0], q[5];\ncrz(0.0387) q[0], q[4];\ncrz(0.1556) q[0], q[3];\ncrz(0.0178) q[0], q[2];\ncrz(0.004) q[0], q[1];\nrx(0.0718) q[0];\nrz(-0.2184) q[0];\nrx(0.301) q[1];\nrz(-0.0028) q[1];\nrx(0.3067) q[2];\nrz(-0.0005) q[2];\nrx(-0.008) q[3];\nrz(0.1901) q[3];\nrx(0.3125) q[4];\nrz(-0.0054) q[4];\nrx(0.2993) q[5];\nrz(-0.0188) q[5];\nrx(-0.0184) q[6];\nrz(0.2114) q[6];\nrx(0.3416) q[7];\nrz(-0.0287) q[7];\nrx(0.1584) q[8];\nrz(0.1806) q[8];\nrx(0.078) q[0];\nrz(-0.2257) q[0];\nrx(0.2949) q[1];\nrz(0.0037) q[1];\nrx(0.308) q[2];\nrz(0.0041) q[2];\nrx(-0.013) q[3];\nrz(0.1731) q[3];\nrx(0.3062) q[4];\nrz(-0.0091) q[4];\nrx(0.301) q[5];\nrz(-0.0277) q[5];\nrx(-0.0313) q[6];\nrz(0.1917) q[6];\nrx(0.3384) q[7];\nrz(-0.0688) q[7];\nrx(0.1533) q[8];\nrz(0.2147) q[8];\ncrz(0.0518) q[8], q[7];\ncrz(0.1209) q[8], q[6];\ncrz(0.0328) q[8], q[5];\ncrz(0.0292) q[8], q[4];\ncrz(0.177) q[8], q[3];\ncrz(0.0211) q[8], q[2];\ncrz(0.0201) q[8], q[1];\ncrz(-0.2384) q[8], q[0];\ncrz(0.2174) q[7], q[8];\ncrz(0.1209) q[7], q[6];\ncrz(0.0328) q[7], q[5];\ncrz(0.0292) q[7], q[4];\ncrz(0.177) q[7], q[3];\ncrz(0.0211) q[7], q[2];\ncrz(0.0201) q[7], q[1];\ncrz(-0.2384) q[7], q[0];\ncrz(0.2174) q[6], q[8];\ncrz(0.0518) q[6], q[7];\ncrz(0.0328) q[6], q[5];\ncrz(0.0292) q[6], q[4];\ncrz(0.177) q[6], q[3];\ncrz(0.0211) q[6], q[2];\ncrz(0.0201) q[6], q[1];\ncrz(-0.2384) q[6], q[0];\ncrz(0.2174) q[5], q[8];\ncrz(0.0518) q[5], q[7];\ncrz(0.1209) q[5], q[6];\ncrz(0.0292) q[5], q[4];\ncrz(0.177) q[5], q[3];\ncrz(0.0211) q[5], q[2];\ncrz(0.0201) q[5], q[1];\ncrz(-0.2384) q[5], q[0];\ncrz(0.2174) q[4], q[8];\ncrz(0.0518) q[4], q[7];\ncrz(0.1209) q[4], q[6];\ncrz(0.0328) q[4], q[5];\ncrz(0.177) q[4], q[3];\ncrz(0.0211) q[4], q[2];\ncrz(0.0201) q[4], q[1];\ncrz(-0.2384) q[4], q[0];\ncrz(0.2174) q[3], q[8];\ncrz(0.0518) q[3], q[7];\ncrz(0.1209) q[3], q[6];\ncrz(0.0328) q[3], q[5];\ncrz(0.0292) q[3], q[4];\ncrz(0.0211) q[3], q[2];\ncrz(0.0201) q[3], q[1];\ncrz(-0.2384) q[3], q[0];\ncrz(0.2174) q[2], q[8];\ncrz(0.0518) q[2], q[7];\ncrz(0.1209) q[2], q[6];\ncrz(0.0328) q[2], q[5];\ncrz(0.0292) q[2], q[4];\ncrz(0.177) q[2], q[3];\ncrz(0.0201) q[2], q[1];\ncrz(-0.2384) q[2], q[0];\ncrz(0.2174) q[1], q[8];\ncrz(0.0518) q[1], q[7];\ncrz(0.1209) q[1], q[6];\ncrz(0.0328) q[1], q[5];\ncrz(0.0292) q[1], q[4];\ncrz(0.177) q[1], q[3];\ncrz(0.0211) q[1], q[2];\ncrz(-0.2384) q[1], q[0];\ncrz(0.2174) q[0], q[8];\ncrz(0.0518) q[0], q[7];\ncrz(0.1209) q[0], q[6];\ncrz(0.0328) q[0], q[5];\ncrz(0.0292) q[0], q[4];\ncrz(0.177) q[0], q[3];\ncrz(0.0211) q[0], q[2];\ncrz(0.0201) q[0], q[1];\nrx(0.2679) q[0];\nrz(0.0076) q[0];\nrx(0.2938) q[1];\nrz(0.003) q[1];\nrx(0.2993) q[2];\nrz(0.0065) q[2];\nrx(0.0236) q[3];\nrz(0.0001) q[3];\nrx(0.2981) q[4];\nrz(0.0089) q[4];\nrx(0.2968) q[5];\nrz(0.0051) q[5];\nrx(0.0258) q[6];\nrz(0.0099) q[6];\nrx(0.2971) q[7];\nrz(0.0088) q[7];\nrx(0.3166) q[8];\nrz(0.0014) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[7];\ncrz(x19) q[8], q[6];\ncrz(x20) q[8], q[5];\ncrz(x21) q[8], q[4];\ncrz(x22) q[8], q[3];\ncrz(x23) q[8], q[2];\ncrz(x24) q[8], q[1];\ncrz(x25) q[8], q[0];\ncrz(x26) q[7], q[8];\ncrz(x19) q[7], q[6];\ncrz(x20) q[7], q[5];\ncrz(x21) q[7], q[4];\ncrz(x22) q[7], q[3];\ncrz(x23) q[7], q[2];\ncrz(x24) q[7], q[1];\ncrz(x25) q[7], q[0];\ncrz(x26) q[6], q[8];\ncrz(x18) q[6], q[7];\ncrz(x20) q[6], q[5];\ncrz(x21) q[6], q[4];\ncrz(x22) q[6], q[3];\ncrz(x23) q[6], q[2];\ncrz(x24) q[6], q[1];\ncrz(x25) q[6], q[0];\ncrz(x26) q[5], q[8];\ncrz(x18) q[5], q[7];\ncrz(x19) q[5], q[6];\ncrz(x21) q[5], q[4];\ncrz(x22) q[5], q[3];\ncrz(x23) q[5], q[2];\ncrz(x24) q[5], q[1];\ncrz(x25) q[5], q[0];\ncrz(x26) q[4], q[8];\ncrz(x18) q[4], q[7];\ncrz(x19) q[4], q[6];\ncrz(x20) q[4], q[5];\ncrz(x22) q[4], q[3];\ncrz(x23) q[4], q[2];\ncrz(x24) q[4], q[1];\ncrz(x25) q[4], q[0];\ncrz(x26) q[3], q[8];\ncrz(x18) q[3], q[7];\ncrz(x19) q[3], q[6];\ncrz(x20) q[3], q[5];\ncrz(x21) q[3], q[4];\ncrz(x23) q[3], q[2];\ncrz(x24) q[3], q[1];\ncrz(x25) q[3], q[0];\ncrz(x26) q[2], q[8];\ncrz(x18) q[2], q[7];\ncrz(x19) q[2], q[6];\ncrz(x20) q[2], q[5];\ncrz(x21) q[2], q[4];\ncrz(x22) q[2], q[3];\ncrz(x24) q[2], q[1];\ncrz(x25) q[2], q[0];\ncrz(x26) q[1], q[8];\ncrz(x18) q[1], q[7];\ncrz(x19) q[1], q[6];\ncrz(x20) q[1], q[5];\ncrz(x21) q[1], q[4];\ncrz(x22) q[1], q[3];\ncrz(x23) q[1], q[2];\ncrz(x25) q[1], q[0];\ncrz(x26) q[0], q[8];\ncrz(x18) q[0], q[7];\ncrz(x19) q[0], q[6];\ncrz(x20) q[0], q[5];\ncrz(x21) q[0], q[4];\ncrz(x22) q[0], q[3];\ncrz(x23) q[0], q[2];\ncrz(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x3) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x36) q[5];\nrz(x37) q[5];\nrx(x38) q[6];\nrz(x39) q[6];\nrx(x40) q[7];\nrz(x41) q[7];\nrx(x42) q[8];\nrz(x43) q[8];\nrx(x44) q[0];\nrz(x45) q[0];\nrx(x46) q[1];\nrz(x47) q[1];\nrx(x48) q[2];\nrz(x49) q[2];\nrx(x50) q[3];\nrz(x51) q[3];\nrx(x52) q[4];\nrz(x53) q[4];\nrx(x54) q[5];\nrz(x55) q[5];\nrx(x56) q[6];\nrz(x57) q[6];\nrx(x58) q[7];\nrz(x59) q[7];\nrx(x60) q[8];\nrz(x61) q[8];\ncrz(x62) q[8], q[7];\ncrz(x63) q[8], q[6];\ncrz(x64) q[8], q[5];\ncrz(x65) q[8], q[4];\ncrz(x66) q[8], q[3];\ncrz(x67) q[8], q[2];\ncrz(x68) q[8], q[1];\ncrz(x69) q[8], q[0];\ncrz(x70) q[7], q[8];\ncrz(x63) q[7], q[6];\ncrz(x64) q[7], q[5];\ncrz(x65) q[7], q[4];\ncrz(x66) q[7], q[3];\ncrz(x67) q[7], q[2];\ncrz(x68) q[7], q[1];\ncrz(x69) q[7], q[0];\ncrz(x70) q[6], q[8];\ncrz(x62) q[6], q[7];\ncrz(x64) q[6], q[5];\ncrz(x65) q[6], q[4];\ncrz(x66) q[6], q[3];\ncrz(x67) q[6], q[2];\ncrz(x68) q[6], q[1];\ncrz(x69) q[6], q[0];\ncrz(x70) q[5], q[8];\ncrz(x62) q[5], q[7];\ncrz(x63) q[5], q[6];\ncrz(x65) q[5], q[4];\ncrz(x66) q[5], q[3];\ncrz(x67) q[5], q[2];\ncrz(x68) q[5], q[1];\ncrz(x69) q[5], q[0];\ncrz(x70) q[4], q[8];\ncrz(x62) q[4], q[7];\ncrz(x63) q[4], q[6];\ncrz(x64) q[4], q[5];\ncrz(x66) q[4], q[3];\ncrz(x67) q[4], q[2];\ncrz(x68) q[4], q[1];\ncrz(x69) q[4], q[0];\ncrz(x70) q[3], q[8];\ncrz(x62) q[3], q[7];\ncrz(x63) q[3], q[6];\ncrz(x64) q[3], q[5];\ncrz(x65) q[3], q[4];\ncrz(x67) q[3], q[2];\ncrz(x68) q[3], q[1];\ncrz(x69) q[3], q[0];\ncrz(x70) q[2], q[8];\ncrz(x62) q[2], q[7];\ncrz(x63) q[2], q[6];\ncrz(x64) q[2], q[5];\ncrz(x65) q[2], q[4];\ncrz(x66) q[2], q[3];\ncrz(x68) q[2], q[1];\ncrz(x69) q[2], q[0];\ncrz(x70) q[1], q[8];\ncrz(x62) q[1], q[7];\ncrz(x63) q[1], q[6];\ncrz(x64) q[1], q[5];\ncrz(x65) q[1], q[4];\ncrz(x66) q[1], q[3];\ncrz(x67) q[1], q[2];\ncrz(x69) q[1], q[0];\ncrz(x70) q[0], q[8];\ncrz(x62) q[0], q[7];\ncrz(x63) q[0], q[6];\ncrz(x64) q[0], q[5];\ncrz(x65) q[0], q[4];\ncrz(x66) q[0], q[3];\ncrz(x67) q[0], q[2];\ncrz(x68) q[0], q[1];\nrx(x71) q[0];\nrz(x72) q[0];\nrx(x73) q[1];\nrz(x74) q[1];\nrx(x75) q[2];\nrz(x76) q[2];\nrx(x77) q[3];\nrz(x78) q[3];\nrx(x79) q[4];\nrz(x80) q[4];\nrx(x81) q[5];\nrz(x82) q[5];\nrx(x83) q[6];\nrz(x84) q[6];\nrx(x85) q[7];\nrz(x86) q[7];\nrx(x87) q[8];\nrz(x88) q[8];\nrx(x89) q[0];\nrz(x90) q[0];\nrx(x91) q[1];\nrz(x49) q[1];\nrx(x92) q[2];\nrz(x93) q[2];\nrx(x94) q[3];\nrz(x95) q[3];\nrx(x96) q[4];\nrz(x97) q[4];\nrx(x98) q[5];\nrz(x99) q[5];\nrx(x100) q[6];\nrz(x101) q[6];\nrx(x102) q[7];\nrz(x103) q[7];\nrx(x104) q[8];\nrz(x105) q[8];\ncrz(x106) q[8], q[7];\ncrz(x107) q[8], q[6];\ncrz(x108) q[8], q[5];\ncrz(x109) q[8], q[4];\ncrz(x110) q[8], q[3];\ncrz(x111) q[8], q[2];\ncrz(x56) q[8], q[1];\ncrz(x112) q[8], q[0];\ncrz(x113) q[7], q[8];\ncrz(x107) q[7], q[6];\ncrz(x108) q[7], q[5];\ncrz(x109) q[7], q[4];\ncrz(x110) q[7], q[3];\ncrz(x111) q[7], q[2];\ncrz(x56) q[7], q[1];\ncrz(x112) q[7], q[0];\ncrz(x113) q[6], q[8];\ncrz(x106) q[6], q[7];\ncrz(x108) q[6], q[5];\ncrz(x109) q[6], q[4];\ncrz(x110) q[6], q[3];\ncrz(x111) q[6], q[2];\ncrz(x56) q[6], q[1];\ncrz(x112) q[6], q[0];\ncrz(x113) q[5], q[8];\ncrz(x106) q[5], q[7];\ncrz(x107) q[5], q[6];\ncrz(x109) q[5], q[4];\ncrz(x110) q[5], q[3];\ncrz(x111) q[5], q[2];\ncrz(x56) q[5], q[1];\ncrz(x112) q[5], q[0];\ncrz(x113) q[4], q[8];\ncrz(x106) q[4], q[7];\ncrz(x107) q[4], q[6];\ncrz(x108) q[4], q[5];\ncrz(x110) q[4], q[3];\ncrz(x111) q[4], q[2];\ncrz(x56) q[4], q[1];\ncrz(x112) q[4], q[0];\ncrz(x113) q[3], q[8];\ncrz(x106) q[3], q[7];\ncrz(x107) q[3], q[6];\ncrz(x108) q[3], q[5];\ncrz(x109) q[3], q[4];\ncrz(x111) q[3], q[2];\ncrz(x56) q[3], q[1];\ncrz(x112) q[3], q[0];\ncrz(x113) q[2], q[8];\ncrz(x106) q[2], q[7];\ncrz(x107) q[2], q[6];\ncrz(x108) q[2], q[5];\ncrz(x109) q[2], q[4];\ncrz(x110) q[2], q[3];\ncrz(x56) q[2], q[1];\ncrz(x112) q[2], q[0];\ncrz(x113) q[1], q[8];\ncrz(x106) q[1], q[7];\ncrz(x107) q[1], q[6];\ncrz(x108) q[1], q[5];\ncrz(x109) q[1], q[4];\ncrz(x110) q[1], q[3];\ncrz(x111) q[1], q[2];\ncrz(x112) q[1], q[0];\ncrz(x113) q[0], q[8];\ncrz(x106) q[0], q[7];\ncrz(x107) q[0], q[6];\ncrz(x108) q[0], q[5];\ncrz(x109) q[0], q[4];\ncrz(x110) q[0], q[3];\ncrz(x111) q[0], q[2];\ncrz(x56) q[0], q[1];\nrx(x114) q[0];\nrz(x115) q[0];\nrx(x116) q[1];\nrz(x117) q[1];\nrx(x118) q[2];\nrz(x119) q[2];\nrx(x120) q[3];\nrz(x121) q[3];\nrx(x122) q[4];\nrz(x123) q[4];\nrx(x124) q[5];\nrz(x125) q[5];\nrx(x126) q[6];\nrz(x127) q[6];\nrx(x128) q[7];\nrz(x129) q[7];\nrx(x130) q[8];\nrz(x131) q[8];\nrx(x132) q[0];\nrz(x133) q[0];\nrx(x134) q[1];\nrz(x135) q[1];\nrx(x136) q[2];\nrz(x137) q[2];\nrx(x138) q[3];\nrz(x139) q[3];\nrx(x140) q[4];\nrz(x141) q[4];\nrx(x116) q[5];\nrz(x142) q[5];\nrx(x143) q[6];\nrz(x144) q[6];\nrx(x145) q[7];\nrz(x146) q[7];\nrx(x147) q[8];\nrz(x148) q[8];\ncrz(x149) q[8], q[7];\ncrz(x150) q[8], q[6];\ncrz(x151) q[8], q[5];\ncrz(x152) q[8], q[4];\ncrz(x153) q[8], q[3];\ncrz(x154) q[8], q[2];\ncrz(x155) q[8], q[1];\ncrz(x156) q[8], q[0];\ncrz(x157) q[7], q[8];\ncrz(x150) q[7], q[6];\ncrz(x151) q[7], q[5];\ncrz(x152) q[7], q[4];\ncrz(x153) q[7], q[3];\ncrz(x154) q[7], q[2];\ncrz(x155) q[7], q[1];\ncrz(x156) q[7], q[0];\ncrz(x157) q[6], q[8];\ncrz(x149) q[6], q[7];\ncrz(x151) q[6], q[5];\ncrz(x152) q[6], q[4];\ncrz(x153) q[6], q[3];\ncrz(x154) q[6], q[2];\ncrz(x155) q[6], q[1];\ncrz(x156) q[6], q[0];\ncrz(x157) q[5], q[8];\ncrz(x149) q[5], q[7];\ncrz(x150) q[5], q[6];\ncrz(x152) q[5], q[4];\ncrz(x153) q[5], q[3];\ncrz(x154) q[5], q[2];\ncrz(x155) q[5], q[1];\ncrz(x156) q[5], q[0];\ncrz(x157) q[4], q[8];\ncrz(x149) q[4], q[7];\ncrz(x150) q[4], q[6];\ncrz(x151) q[4], q[5];\ncrz(x153) q[4], q[3];\ncrz(x154) q[4], q[2];\ncrz(x155) q[4], q[1];\ncrz(x156) q[4], q[0];\ncrz(x157) q[3], q[8];\ncrz(x149) q[3], q[7];\ncrz(x150) q[3], q[6];\ncrz(x151) q[3], q[5];\ncrz(x152) q[3], q[4];\ncrz(x154) q[3], q[2];\ncrz(x155) q[3], q[1];\ncrz(x156) q[3], q[0];\ncrz(x157) q[2], q[8];\ncrz(x149) q[2], q[7];\ncrz(x150) q[2], q[6];\ncrz(x151) q[2], q[5];\ncrz(x152) q[2], q[4];\ncrz(x153) q[2], q[3];\ncrz(x155) q[2], q[1];\ncrz(x156) q[2], q[0];\ncrz(x157) q[1], q[8];\ncrz(x149) q[1], q[7];\ncrz(x150) q[1], q[6];\ncrz(x151) q[1], q[5];\ncrz(x152) q[1], q[4];\ncrz(x153) q[1], q[3];\ncrz(x154) q[1], q[2];\ncrz(x156) q[1], q[0];\ncrz(x157) q[0], q[8];\ncrz(x149) q[0], q[7];\ncrz(x150) q[0], q[6];\ncrz(x151) q[0], q[5];\ncrz(x152) q[0], q[4];\ncrz(x153) q[0], q[3];\ncrz(x154) q[0], q[2];\ncrz(x155) q[0], q[1];\nrx(x158) q[0];\nrz(x159) q[0];\nrx(x160) q[1];\nrz(x161) q[1];\nrx(x124) q[2];\nrz(x162) q[2];\nrx(x163) q[3];\nrz(x164) q[3];\nrx(x165) q[4];\nrz(x166) q[4];\nrx(x167) q[5];\nrz(x93) q[5];\nrx(x168) q[6];\nrz(x169) q[6];\nrx(x170) q[7];\nrz(x171) q[7];\nrx(x172) q[8];\nrz(x173) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 9}\"}","{\"circuits\": [], \"gradients\": []}"]
["-3157302381660211115","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 5], [3, 6], [0, 5], [8, 5], [1, 3], [1, 6], [0, 7], [8, 7], [1, 2], [3, 4], [5, 7], [2, 6], [1, 4], [0, 8], [2, 5]]}","{\"states\": [481, 482], \"expectation_value\": -0.0243691610085646, \"params\": [[0.0267], [-0.030600000000000002]], \"bitstrings\": [\"000011110\", \"000011101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0019979953159408185, 0.0019979953159408185], \"optimization_time\": 0.698986291885376}","0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(4)",1,9,1,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"000011101\", \"000011110\", \"111100010\", \"111100001\", \"011100011\", \"100011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[1];\nrz(0.0267) q[1];\ncx q[5], q[1];\ncx q[1], q[3];\nrz(0.0267) q[3];\ncx q[1], q[3];\ncx q[1], q[6];\nrz(0.0267) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.0267) q[6];\ncx q[3], q[6];\ncx q[5], q[0];\nrz(0.0267) q[0];\ncx q[5], q[0];\ncx q[5], q[8];\nrz(0.0267) q[8];\ncx q[5], q[8];\ncx q[0], q[8];\nrz(0.0267) q[8];\ncx q[0], q[8];\ncx q[5], q[7];\nrz(0.0267) q[7];\ncx q[5], q[7];\ncx q[0], q[7];\nrz(0.0267) q[7];\ncx q[0], q[7];\ncx q[8], q[7];\nrz(0.0267) q[7];\ncx q[8], q[7];\ncx q[5], q[2];\nrz(0.0267) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(0.0267) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(0.0267) q[2];\ncx q[6], q[2];\ncx q[1], q[4];\nrz(0.0267) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0267) q[4];\ncx q[3], q[4];\nrz(0) q[5];\nrz(0) q[1];\nrz(0) q[3];\nrz(0) q[6];\nrz(0) q[0];\nrz(0) q[8];\nrz(0) q[7];\nrz(0) q[2];\nrz(0) q[4];\nh q[0];\nrz(-0.0612) q[0];\nh q[0];\nh q[1];\nrz(-0.0612) q[1];\nh q[1];\nh q[2];\nrz(-0.0612) q[2];\nh q[2];\nh q[3];\nrz(-0.0612) q[3];\nh q[3];\nh q[4];\nrz(-0.0612) q[4];\nh q[4];\nh q[5];\nrz(-0.0612) q[5];\nh q[5];\nh q[6];\nrz(-0.0612) q[6];\nh q[6];\nh q[7];\nrz(-0.0612) q[7];\nh q[7];\nh q[8];\nrz(-0.0612) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[0], q[8];\nrz(x0) q[8];\ncx q[0], q[8];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x1) q[5];\nrz(x1) q[1];\nrz(x1) q[3];\nrz(x1) q[6];\nrz(x1) q[0];\nrz(x1) q[8];\nrz(x1) q[7];\nrz(x1) q[2];\nrz(x1) q[4];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nh q[8];\nrz(x2) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["-6170143923129228437","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 2, 4], [1, 5], [3, 5, 6], [0, 3], [1, 2, 3], [0, 5], [4, 7], [2, 3, 5]]}","{\"states\": [53, 60], \"expectation_value\": -2.749487076024844, \"params\": null, \"bitstrings\": [\"11001010\", \"11000011\"], \"total_optimization_steps\": 53, \"probabilities\": [0.05608097171249614, 0.8054378771726384], \"optimization_time\": 79.60331678390503}","0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * Z(2) + 0.16666666666666674 * Z(0) + 0.16666666666666663 * Z(4) + 0.16666666666666663 * Z(1) + 0.33333333333333326 * Z(5) + 0.5000000000000001 * Z(3) + 0.16666666666666666 * Z(6) + 0.0 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-2.9999999999999996], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.6666666666666665, \"smallest_bitstrings\": [\"11000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\ncry(0.0131) q[4], q[2];\ncry(-0.0166) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,null,{"$cut":{"chars":49413,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\ncry(-1.0324) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\ncry(-1.0324) q[5], q[0];\\nry(0.9726) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\ncry(-1.0324) q[5], q[0];\\nry(0.9726) q[5];\\ncry(-1.3748) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\ncry(-1.0324) q[5], q[0];\\nry(0.9726) q[5];\\ncry(-1.3748) q[5], q[1];\\ncry(-0.8041) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\ncry(-1.0324) q[5], q[0];\\nry(0.9726) q[5];\\ncry(-1.3748) q[5], q[1];\\ncry(-0.8041) q[3], q[0];\\nry(1.1701) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\ncry(-1.0324) q[5], q[0];\\nry(0.9726) q[5];\\ncry(-1.3748) q[5], q[1];\\ncry(-0.8041) q[3], q[0];\\nry(1.1701) q[3];\\nry(-0.4058) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\ncry(-1.0324) q[5], q[0];\\nry(0.9726) q[5];\\ncry(-1.3748) q[5], q[1];\\ncry(-0.8041) q[3], q[0];\\nry(1.1701) q[3];\\nry(-0.4058) q[0];\\ncry(0.3486) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\ncry(-1.0324) q[5], q[0];\\nry(0.9726) q[5];\\ncry(-1.3748) q[5], q[1];\\ncry(-0.8041) q[3], q[0];\\nry(1.1701) q[3];\\nry(-0.4058) q[0];\\ncry(0.3486) q[2], q[5];\\ncry(-1.0342) q[4], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4449) q[2];\\ncry(-1.0324) q[5], q[0];\\nry(0.9726) q[5];\\ncry(-1.3748) q[5], q[1];\\ncry(-0"}}]
["2783967b1611213b3e7795654a08824b","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [97, 112], \"expectation_value\": -3.9963269419040746, \"params\": null, \"bitstrings\": [\"0011110\", \"0001111\"], \"total_optimization_steps\": 29, \"probabilities\": [0.06635596786049659, 0.9302847332721631], \"optimization_time\": 31.777088165283203}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.5 * Z(4) + -0.5 * Z(2) + 0.0 * Z(6)",1,7,4,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"0011110\", \"0111010\", \"0001111\", \"1110100\", \"1100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nry(-1.4449) q[3];\nry(-1.4449) q[5];\nry(1.4384) q[0];\nry(1.4384) q[1];\ncry(-1.0342) q[2], q[6];\nry(0.7003) q[2];\ncry(-0.1259) q[1], q[3];\ncry(-0.1259) q[1], q[5];\nry(-0.4549) q[6];\ncry(0.4962) q[1], q[2];\ncry(-0.3788) q[1], q[6];\ncry(0.249) q[0], q[2];\ncry(-0.1489) q[0], q[6];\ncry(0.1241) q[1], q[0];\ncry(0.1211) q[0], q[1];\ncry(-0.0228) q[6], q[2];\ncry(-0.0005) q[0], q[5];\ncry(-0.0005) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":16611,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[5];\\nry(1.4384) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[5];\\nry(1.4384) q[0];\\nry(1.4384) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[5];\\nry(1.4384) q[0];\\nry(1.4384) q[1];\\ncry(-1.0342) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[5];\\nry(1.4384) q[0];\\nry(1.4384) q[1];\\ncry(-1.0342) q[2], q[6];\\nry(0.7003) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[5];\\nry(1.4384) q[0];\\nry(1.4384) q[1];\\ncry(-1.0342) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[5];\\nry(1.4384) q[0];\\nry(1.4384) q[1];\\ncry(-1.0342) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[1], q[3];\\ncry(-0.1259) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[5];\\nry(1.4384) q[0];\\nry(1.4384) q[1];\\ncry(-1.0342) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[1], q[3];\\ncry(-0.1259) q[1], q[5];\\nry(-0.4549) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh "}}]
["24ec85ceb3f94374e977a871ddcf35bc","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [50, 60], \"expectation_value\": -3.1321770286570354, \"params\": null, \"bitstrings\": [\"1001101\", \"1000011\"], \"total_optimization_steps\": 36, \"probabilities\": [0.06225990274216573, 0.8457025003025933], \"optimization_time\": 43.28484129905701}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -0.625 * Z(0) + 0.125 * Z(1) + -0.125 * Z(2) + -0.125 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + -0.5 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-3.375], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.375, \"smallest_bitstrings\": [\"1000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5158) q[0];\nry(-1.4449) q[6];\nry(1.4415) q[2];\ncry(-1.3016) q[3], q[5];\nry(1.2939) q[1];\nry(0.7826) q[3];\nry(-0.6334) q[5];\ncry(1.32) q[3], q[4];\ncry(0.4658) q[2], q[3];\ncry(-0.1259) q[2], q[6];\ncry(-0.137) q[4], q[5];\ncry(0.254) q[2], q[1];\nry(0.2174) q[4];\ncry(-0.055) q[1], q[0];\ncry(0.1174) q[1], q[2];\ncry(-0.2753) q[5], q[4];\ncry(0.1044) q[4], q[3];\ncry(0.0164) q[1], q[5];\ncry(-0.0766) q[5], q[3];\ncry(0.0199) q[2], q[5];\ncry(0.0208) q[3], q[1];\ncry(-0.0005) q[1], q[6];\ncry(-0.006) q[1], q[4];\ncry(-0.0053) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":23241,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nry(-0.6334) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nry(-0.6334) q[5];\\ncry(1.32) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nry(-0.6334) q[5];\\ncry(1.32) q[3], q[4];\\ncry(0.4658) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nry(-0.6334) q[5];\\ncry(1.32) q[3], q[4];\\ncry(0.4658) q[2], q[3];\\ncry(-0.1259) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q"}}]
["ced6c703f6fc42ad993c62457521a8a6","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 6, \"target\": 3}]}","{\"states\": [3, 1], \"expectation_value\": -0.9943841305168674, \"params\": [[-0.0716, -0.0852], [0.0711, 0.0781]], \"bitstrings\": [\"11111100\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00807690791938644, 0.008983622340901491], \"optimization_time\": 3.047116279602051}","-0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(2) + -0.25 * Z(5) + 0.0 * Z(6) + 0.0 * Z(3) + -0.25 * Z(4) + 1.75 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-9.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.75, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.0716) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1074) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0716) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(0.0716) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0716) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(0.0358) q[6];\ncx q[0], q[6];\ncx q[1], q[3];\nrz(0.0716) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(0.0358) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(0.0358) q[3];\ncx q[6], q[3];\ncx q[5], q[4];\nrz(0.0716) q[4];\ncx q[5], q[4];\ncx q[0], q[7];\nrz(-0.2864) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(0.0358) q[7];\ncx q[4], q[7];\nrz(0.1074) q[1];\nrz(0.0358) q[0];\nrz(0.0358) q[2];\nrz(0.0358) q[5];\nrz(0) q[6];\nrz(0) q[3];\nrz(0.0358) q[4];\nrz(-0.2506) q[7];\nh q[0];\nrz(0.1422) q[0];\nh q[0];\nh q[1];\nrz(0.1422) q[1];\nh q[1];\nh q[2];\nrz(0.1422) q[2];\nh q[2];\nh q[3];\nrz(0.1422) q[3];\nh q[3];\nh q[4];\nrz(0.1422) q[4];\nh q[4];\nh q[5];\nrz(0.1422) q[5];\nh q[5];\nh q[6];\nrz(0.1422) q[6];\nh q[6];\nh q[7];\nrz(0.1422) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0852) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1278) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0852) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(0.0852) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0852) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(0.0426) q[6];\ncx q[0], q[6];\ncx q[1], q[3];\nrz(0.0852) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(0.0426) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(0.0426) q[3];\ncx q[6], q[3];\ncx q[5], q[4];\nrz(0.0852) q[4];\ncx q[5], q[4];\ncx q[0], q[7];\nrz(-0.3408) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(0.0426) q[7];\ncx q[4], q[7];\nrz(0.1278) q[1];\nrz(0.0426) q[0];\nrz(0.0426) q[2];\nrz(0.0426) q[5];\nrz(0) q[6];\nrz(0) q[3];\nrz(0.0426) q[4];\nrz(-0.2982) q[7];\nh q[0];\nrz(0.1562) q[0];\nh q[0];\nh q[1];\nrz(0.1562) q[1];\nh q[1];\nh q[2];\nrz(0.1562) q[2];\nh q[2];\nh q[3];\nrz(0.1562) q[3];\nh q[3];\nh q[4];\nrz(0.1562) q[4];\nh q[4];\nh q[5];\nrz(0.1562) q[5];\nh q[5];\nh q[6];\nrz(0.1562) q[6];\nh q[6];\nh q[7];\nrz(0.1562) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[0], q[7];\nrz(x3) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(x2) q[7];\ncx q[4], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[5];\nrz(x4) q[6];\nrz(x4) q[3];\nrz(x2) q[4];\nrz(x5) q[7];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x7) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x7) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x7) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x9) q[6];\ncx q[0], q[6];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(x9) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x9) q[3];\ncx q[6], q[3];\ncx q[5], q[4];\nrz(x7) q[4];\ncx q[5], q[4];\ncx q[0], q[7];\nrz(x10) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\nrz(x8) q[1];\nrz(x9) q[0];\nrz(x9) q[2];\nrz(x9) q[5];\nrz(x4) q[6];\nrz(x4) q[3];\nrz(x9) q[4];\nrz(x11) q[7];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["1009275363050825591","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[1, 2, 4, 5, 6, 8, 9, 10, 11], [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11], [2, 4, 7, 8, 9, 10], [0, 1, 2, 3, 4, 5, 6, 7, 10], [1, 2, 7, 8, 10, 11], [1, 2, 5, 6, 7, 8, 9], [2, 3, 8, 9, 10], [2, 4, 5, 7, 8, 10, 11], [1, 2, 3, 8, 9, 11], [0, 2, 3, 6, 11], [0, 1, 2, 7, 11], [0, 2, 3, 9, 10], [0, 2, 11, 5]]}","{\"states\": [925, 989], \"expectation_value\": -2.3426889827424873, \"params\": [0.2549, 0.0044, 1.5027000000000001, 0.008400000000000001, 3.1389, 0.0016, 3.1445000000000003, 0.0024000000000000002, 3.1439000000000004, 0.004, 1.5915000000000001, 0.001, 0.529, 0.0095, 2.2841, 0.0074, 3.1444, 0.004200000000000001, 3.1441000000000003, 0.0043, 0.3655, 0.007200000000000001, 3.144, 0.0085, 0.005200000000000001, 0.008400000000000001, 0.009300000000000001, 0.005, 0.0076, 0.0055000000000000005, 0.004200000000000001, 0.0039000000000000003, 0.0058000000000000005, 0.0038, 0.0079], \"bitstrings\": [\"110001100010\", \"110000100010\"], \"total_optimization_steps\": 400, \"probabilities\": [0.19170751054931964, 0.19980293730701623], \"optimization_time\": 70.69706153869629}","0.16825396825396827 * (Z(1) @ Z(4)) + 0.08492063492063492 * (Z(6) @ Z(4)) + 0.03686868686868687 * (Z(6) @ Z(1)) + 0.15873015873015872 * (Z(7) @ Z(4)) + 0.06067821067821068 * (Z(7) @ Z(1)) + 0.06067821067821068 * (Z(7) @ Z(6)) + 0.10158730158730159 * (Z(8) @ Z(4)) + 0.06067821067821068 * (Z(8) @ Z(1)) + 0.03686868686868687 * (Z(8) @ Z(6)) + 0.06067821067821068 * (Z(8) @ Z(7)) + 0.2115079365079365 * (Z(10) @ Z(4)) + 0.11345598845598845 * (Z(10) @ Z(1)) + 0.08012265512265512 * (Z(10) @ Z(6)) + 0.07059884559884559 * (Z(10) @ Z(7)) + 0.04678932178932178 * (Z(10) @ Z(8)) + 0.20436507936507936 * (Z(11) @ Z(4)) + 0.08012265512265512 * (Z(11) @ Z(1)) + 0.056313131313131315 * (Z(11) @ Z(6)) + 0.04678932178932178 * (Z(11) @ Z(7)) + 0.04678932178932178 * (Z(11) @ Z(8)) + 0.16345598845598847 * (Z(11) @ Z(10)) + 0.21825396825396826 * (Z(2) @ Z(4)) + 0.07020202020202021 * (Z(2) @ Z(1)) + 0.09401154401154402 * (Z(2) @ Z(6)) + 0.06067821067821068 * (Z(2) @ Z(7)) + 0.03686868686868687 * (Z(2) @ Z(8)) + 0.16345598845598844 * (Z(2) @ Z(10)) + 0.15631313131313132 * (Z(2) @ Z(11)) + 0.2876984126984127 * (Z(3) @ Z(4)) + 0.13964646464646463 * (Z(3) @ Z(1)) + 0.04678932178932178 * (Z(3) @ Z(6)) + 0.1301226551226551 * (Z(3) @ Z(7)) + 0.07297979797979798 * (Z(3) @ Z(8)) + 0.11345598845598845 * (Z(3) @ Z(10)) + 0.056313131313131315 * (Z(3) @ Z(11)) + 0.08012265512265512 * (Z(3) @ Z(2)) + 0.24722222222222223 * (Z(0) @ Z(4)) + 0.07297979797979798 * (Z(0) @ Z(1)) + 0.02297979797979798 * (Z(0) @ Z(6)) + 0.1063131313131313 * (Z(0) @ Z(7)) + 0.07297979797979798 * (Z(0) @ Z(8)) + 0.00909090909090909 * (Z(0) @ Z(10)) + 0.0590909090909091 * (Z(0) @ Z(11)) + 0.07297979797979798 * (Z(0) @ Z(2)) + 0.19242424242424244 * (Z(0) @ Z(3)) + 0.1972222222222222 * (Z(5) @ Z(4)) + 0.056313131313131315 * (Z(5) @ Z(1)) + 0.02297979797979798 * (Z(5) @ Z(6)) + 0.02297979797979798 * (Z(5) @ Z(7)) + 0.07297979797979798 * (Z(5) @ Z(8)) + 0.09242424242424244 * (Z(5) @ Z(10)) + 0.14242424242424245 * (Z(5) @ Z(11)) + 0.12297979797979798 * (Z(5) @ Z(2)) + 0.09242424242424242 * (Z(5) @ Z(3)) + 0.12297979797979798 * (Z(5) @ Z(0)) + 0.17817460317460315 * (Z(9) @ Z(4)) + 0.13012265512265514 * (Z(9) @ Z(1)) + 0.08012265512265512 * (Z(9) @ Z(6)) + 0.07059884559884559 * (Z(9) @ Z(7)) + 0.04678932178932178 * (Z(9) @ Z(8)) + 0.12337662337662336 * (Z(9) @ Z(10)) + 0.06623376623376623 * (Z(9) @ Z(11)) + 0.11345598845598845 * (Z(9) @ Z(2)) + 0.11623376623376623 * (Z(9) @ Z(3)) + 0.07297979797979798 * (Z(9) @ Z(0)) + 0.02297979797979798 * (Z(9) @ Z(5)) + 1.0289682539682539 * Z(4) + 0.49466089466089447 * Z(1) + 0.31132756132756123 * Z(6) + 0.4244227994227992 * Z(7) + 0.3279942279942279 * Z(8) + 0.5938672438672437 * Z(10) + 0.5391053391053391 * Z(11) + 0.5946608946608948 * Z(2) + 0.6641053391053393 * Z(3) + 0.5260101010101008 * Z(0) + 0.4843434343434344 * Z(5) + 0.5105339105339105 * Z(9)",3,12,1,"{\"smallest_eigenvalues\": [-2.5097402597402603, -2.5097402597402603], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.476406926406926, \"smallest_bitstrings\": [\"010010100000\", \"110000100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.2549) q[0];\nrz(0.0044) q[0];\nrx(1.5027) q[1];\nrz(0.0084) q[1];\nrx(3.1389) q[2];\nrz(0.0016) q[2];\nrx(3.1445) q[3];\nrz(0.0024) q[3];\nrx(3.1439) q[4];\nrz(0.004) q[4];\nrx(1.5915) q[5];\nrz(0.001) q[5];\nrx(0.529) q[6];\nrz(0.0095) q[6];\nrx(2.2841) q[7];\nrz(0.0074) q[7];\nrx(3.1444) q[8];\nrz(0.0042) q[8];\nrx(3.1441) q[9];\nrz(0.0043) q[9];\nrx(0.3655) q[10];\nrz(0.0072) q[10];\nrx(3.144) q[11];\nrz(0.0085) q[11];\ncrz(0.0079) q[11], q[10];\ncrz(0.0038) q[10], q[9];\ncrz(0.0058) q[9], q[8];\ncrz(0.0039) q[8], q[7];\ncrz(0.0042) q[7], q[6];\ncrz(0.0055) q[6], q[5];\ncrz(0.0076) q[5], q[4];\ncrz(0.005) q[4], q[3];\ncrz(0.0093) q[3], q[2];\ncrz(0.0084) q[2], q[1];\ncrz(0.0052) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[11], q[10];\ncrz(x25) q[10], q[9];\ncrz(x26) q[9], q[8];\ncrz(x27) q[8], q[7];\ncrz(x17) q[7], q[6];\ncrz(x28) q[6], q[5];\ncrz(x29) q[5], q[4];\ncrz(x30) q[4], q[3];\ncrz(x31) q[3], q[2];\ncrz(x3) q[2], q[1];\ncrz(x32) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["e69550c833474bf45ede93c29793364e","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [187, 179], \"expectation_value\": -1.8545002982275105, \"params\": [-0.0001, 0.3165, 0.5056, 0.0045000000000000005, 0.2228, 0.29610000000000003, 0.49770000000000003, 0.045200000000000004, 0.5037, 0.10690000000000001, 0.29700000000000004, 0.1091, -0.0051, 0.34940000000000004, 0.498, 0.0051, 0.4988, 0.0256, -0.005, 0.38930000000000003, 0.49820000000000003, 0.031900000000000005, 0.2106, 0.3113, 0.5063, 0.0747, 0.49820000000000003, 0.10650000000000001, 0.2934, 0.1056, -0.0015, 0.3793, 0.5013000000000001, 0.0047, 0.4985, 0.0154, -0.0034000000000000002, 0.3874, 0.5065000000000001, 0.051800000000000006, 0.2033, 0.3241, 0.4999, 0.07010000000000001, 0.49450000000000005, 0.1014, 0.2992, 0.09860000000000001, -0.00030000000000000003, 0.31920000000000004, 0.49970000000000003, 0.0061, 0.5005000000000001, 0.0091, -0.0009000000000000001, 0.0091, 0.4999, 0.009300000000000001, 0.2157, 0.0058000000000000005, 0.5004000000000001, 0.009600000000000001, 0.49810000000000004, 0.0063, 0.2992, 0.0064, -0.0059, 0.0086, 0.5025000000000001, 0.0039000000000000003, 0.49710000000000004, 0.0011, 0.004200000000000001, 0.0078000000000000005, 0.004200000000000001, 0.299, 0.1082, 0.0049, 0.0064, 0.0565, 0.12660000000000002, 0.0068000000000000005, 0.0082, -0.3345, 0.0047, 0.0027, 0.0035, 0.0429, 0.0083, 0.0071, -0.021, 0.009300000000000001, 0.0081, 0.32580000000000003, 0.1714, 0.0032, 0.0039000000000000003, 0.1107, 0.12660000000000002, 0.0046, 0.0079, -0.3683, 0.0083, 0.0015, 0.0017000000000000001, 0.023700000000000002, 0.009600000000000001, 0.0008, -0.0357, 0.0048000000000000004, 0.0044, 0.3432, 0.20770000000000002, 0.0013000000000000002, 0.0081, 0.1119, 0.11760000000000001, 0.0011, 0.0059, -0.3003, 0.013900000000000001, 0.0097, 0.0012000000000000001, -0.0013000000000000002, 0.0005, 0.0064, 0.0089, 0.006900000000000001, 0.0039000000000000003, 0.0076, 0.01, 0.0, 0.0083, 0.0033, 0.007500000000000001, 0.0024000000000000002, 0.002, 0.0081, 0.0077, 0.0081, 0.0076, 0.001, 0.0088, 0.0038], \"bitstrings\": [\"101000100\", \"101001100\"], \"total_optimization_steps\": 50, \"probabilities\": [0.045584329710890555, 0.10502536514456488], \"optimization_time\": 15.053132772445679}","0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0) @ Z(1) @ Z(6)) + -0.0625 * (Z(0) @ Z(1) @ Z(7)) + -0.0625 * (Z(3) @ Z(0) @ Z(6)) + -0.0625 * (Z(3) @ Z(0) @ Z(7)) + -0.0625 * (Z(0) @ Z(6) @ Z(7)) + -0.0625 * (Z(3) @ Z(1) @ Z(6)) + -0.0625 * (Z(3) @ Z(1) @ Z(7)) + -0.0625 * (Z(1) @ Z(6) @ Z(7)) + -0.0625 * (Z(3) @ Z(6) @ Z(7)) + 0.0625 * (Z(3) @ Z(0) @ Z(1) @ Z(6)) + 0.0625 * (Z(3) @ Z(0) @ Z(1) @ Z(7)) + 0.0625 * (Z(0) @ Z(1) @ Z(6) @ Z(7)) + 0.0625 * (Z(3) @ Z(0) @ Z(6) @ Z(7)) + 0.0625 * (Z(3) @ Z(1) @ Z(6) @ Z(7)) + -0.0625 * (Z(6) @ Z(0) @ Z(3) @ Z(7) @ Z(1)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(8) @ Z(2)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(8)) + 0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(5) @ Z(8) @ Z(7)) + -0.5625 * Z(0) + -0.0625 * Z(1) + -0.25 * Z(2) + 0.1875 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + -0.5625 * Z(6) + 0.1875 * Z(7) + 0.0 * Z(8)",16,9,4,"{\"smallest_eigenvalues\": [-3.8125], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.8125, \"smallest_bitstrings\": [\"101001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(-0.0001) q[0];\nrz(0.3165) q[0];\nrx(0.5056) q[1];\nrz(0.0045) q[1];\nrx(0.2228) q[2];\nrz(0.2961) q[2];\nrx(0.4977) q[3];\nrz(0.0452) q[3];\nrx(0.5037) q[4];\nrz(0.1069) q[4];\nrx(0.297) q[5];\nrz(0.1091) q[5];\nrx(-0.0051) q[6];\nrz(0.3494) q[6];\nrx(0.498) q[7];\nrz(0.0051) q[7];\nrx(0.4988) q[8];\nrz(0.0256) q[8];\ncrz(0.0042) q[1], q[0];\ncrz(0.1082) q[3], q[2];\ncrz(0.1266) q[5], q[4];\ncrz(0.0047) q[7], q[6];\ncrz(0.299) q[2], q[1];\ncrz(0.0565) q[4], q[3];\ncrz(-0.3345) q[6], q[5];\ncrz(0.0429) q[8], q[7];\nrx(-0.005) q[0];\nrz(0.3893) q[0];\nrx(0.4982) q[1];\nrz(0.0319) q[1];\nrx(0.2106) q[2];\nrz(0.3113) q[2];\nrx(0.5063) q[3];\nrz(0.0747) q[3];\nrx(0.4982) q[4];\nrz(0.1065) q[4];\nrx(0.2934) q[5];\nrz(0.1056) q[5];\nrx(-0.0015) q[6];\nrz(0.3793) q[6];\nrx(0.5013) q[7];\nrz(0.0047) q[7];\nrx(0.4985) q[8];\nrz(0.0154) q[8];\ncrz(-0.021) q[1], q[0];\ncrz(0.1714) q[3], q[2];\ncrz(0.1266) q[5], q[4];\ncrz(0.0083) q[7], q[6];\ncrz(0.3258) q[2], q[1];\ncrz(0.1107) q[4], q[3];\ncrz(-0.3683) q[6], q[5];\ncrz(0.0237) q[8], q[7];\nrx(-0.0034) q[0];\nrz(0.3874) q[0];\nrx(0.5065) q[1];\nrz(0.0518) q[1];\nrx(0.2033) q[2];\nrz(0.3241) q[2];\nrx(0.4999) q[3];\nrz(0.0701) q[3];\nrx(0.4945) q[4];\nrz(0.1014) q[4];\nrx(0.2992) q[5];\nrz(0.0986) q[5];\nrx(-0.0003) q[6];\nrz(0.3192) q[6];\nrx(0.4997) q[7];\nrz(0.0061) q[7];\nrx(0.5005) q[8];\nrz(0.0091) q[8];\ncrz(-0.0357) q[1], q[0];\ncrz(0.2077) q[3], q[2];\ncrz(0.1176) q[5], q[4];\ncrz(0.0139) q[7], q[6];\ncrz(0.3432) q[2], q[1];\ncrz(0.1119) q[4], q[3];\ncrz(-0.3003) q[6], q[5];\ncrz(-0.0013) q[8], q[7];\nrx(-0.0009) q[0];\nrz(0.0091) q[0];\nrx(0.4999) q[1];\nrz(0.0093) q[1];\nrx(0.2157) q[2];\nrz(0.0058) q[2];\nrx(0.5004) q[3];\nrz(0.0096) q[3];\nrx(0.4981) q[4];\nrz(0.0063) q[4];\nrx(0.2992) q[5];\nrz(0.0064) q[5];\nrx(-0.0059) q[6];\nrz(0.0086) q[6];\nrx(0.5025) q[7];\nrz(0.0039) q[7];\nrx(0.4971) q[8];\nrz(0.0011) q[8];\ncrz(0.0089) q[1], q[0];\ncrz(0.01) q[3], q[2];\ncrz(0.0075) q[5], q[4];\ncrz(0.0077) q[7], q[6];\ncrz(0.0076) q[2], q[1];\ncrz(0.0033) q[4], q[3];\ncrz(0.0081) q[6], q[5];\ncrz(0.001) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[1], q[0];\ncrz(x19) q[3], q[2];\ncrz(x20) q[5], q[4];\ncrz(x21) q[7], q[6];\ncrz(x22) q[2], q[1];\ncrz(x23) q[4], q[3];\ncrz(x24) q[6], q[5];\ncrz(x25) q[8], q[7];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x28) q[4];\nrz(x34) q[4];\nrx(x35) q[5];\nrz(x36) q[5];\nrx(x37) q[6];\nrz(x38) q[6];\nrx(x39) q[7];\nrz(x21) q[7];\nrx(x40) q[8];\nrz(x41) q[8];\ncrz(x42) q[1], q[0];\ncrz(x43) q[3], q[2];\ncrz(x20) q[5], q[4];\ncrz(x44) q[7], q[6];\ncrz(x45) q[2], q[1];\ncrz(x46) q[4], q[3];\ncrz(x47) q[6], q[5];\ncrz(x48) q[8], q[7];\nrx(x49) q[0];\nrz(x50) q[0];\nrx(x51) q[1];\nrz(x52) q[1];\nrx(x53) q[2];\nrz(x54) q[2];\nrx(x55) q[3];\nrz(x56) q[3];\nrx(x57) q[4];\nrz(x58) q[4];\nrx(x59) q[5];\nrz(x60) q[5];\nrx(x61) q[6];\nrz(x62) q[6];\nrx(x63) q[7];\nrz(x64) q[7];\nrx(x65) q[8];\nrz(x66) q[8];\ncrz(x67) q[1], q[0];\ncrz(x68) q[3], q[2];\ncrz(x69) q[5], q[4];\ncrz(x70) q[7], q[6];\ncrz(x71) q[2], q[1];\ncrz(x72) q[4], q[3];\ncrz(x73) q[6], q[5];\ncrz(x74) q[8], q[7];\nrx(x75) q[0];\nrz(x66) q[0];\nrx(x55) q[1];\nrz(x76) q[1];\nrx(x77) q[2];\nrz(x78) q[2];\nrx(x79) q[3];\nrz(x80) q[3];\nrx(x81) q[4];\nrz(x82) q[4];\nrx(x59) q[5];\nrz(x83) q[5];\nrx(x84) q[6];\nrz(x85) q[6];\nrx(x86) q[7];\nrz(x87) q[7];\nrx(x88) q[8];\nrz(x89) q[8];\ncrz(x90) q[1], q[0];\ncrz(x91) q[3], q[2];\ncrz(x92) q[5], q[4];\ncrz(x93) q[7], q[6];\ncrz(x94) q[2], q[1];\ncrz(x95) q[4], q[3];\ncrz(x96) q[6], q[5];\ncrz(x97) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["690ab9a303c84e82b8d6c798626278a5","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 9}, {\"source\": 3, \"target\": 10}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 10}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 9}, {\"source\": 6, \"target\": 10}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [0, 832], \"expectation_value\": -41.41569264949275, \"params\": [0.7536, 0.0975, -0.0414, 0.12990000000000002, 0.7651, -0.060000000000000005, 0.4813, -0.0286, -0.003, 0.8566, 0.001, 1.1193, 0.7005, 1.022, 0.5232, 1.6599000000000002, 0.006200000000000001, 1.8054000000000001, -0.0027, 0.7349, -0.0031000000000000003, 1.2944, -0.0, 0.5326000000000001, 0.003, 1.0474, 0.0015, 1.2513, -0.0017000000000000001, 1.6256000000000002, 0.0002, 0.12840000000000001, 0.0071, 1.6829, -0.0012000000000000001, 0.6041000000000001, -0.0009000000000000001, 1.4238000000000002, 0.0038, 0.9805, -0.1574, 0.0907, -0.5683, 0.0095, 0.607, 0.3612, -0.6161, 0.008, 0.0032, 0.9942000000000001, 0.0018000000000000002, 0.0035, -0.051000000000000004, 1.1833, 0.5805, 0.007500000000000001, -0.0044, 1.1503, 0.0031000000000000003, 0.0061, 0.0021000000000000003, 2.0212, 0.0012000000000000001, 0.0066, -0.0024000000000000002, 1.0314, -0.0014, 0.005, 0.0034000000000000002, 1.3365, -0.0018000000000000002, 0.0059, -0.0021000000000000003, 1.8461, -0.0013000000000000002, 0.0007, 0.0039000000000000003, 1.5689000000000002, -0.0021000000000000003, 0.0061, -0.7195, -1.5616, 0.003, -1.471, -0.0025, 0.0028, 0.0011, 0.002, 0.0, -0.003, -1.2096, -0.9717, 0.0023, 0.8545, 0.0047, 0.0012000000000000001, 0.0008, -0.0019, -0.0054, 0.0036000000000000003], \"bitstrings\": [\"1111111111\", \"0010111111\"], \"total_optimization_steps\": 330, \"probabilities\": [0.3685037169821368, 0.5200914695548997], \"optimization_time\": 86.31186151504517}","-1.5 * (Z(0) @ Z(3)) + -1.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -4.0 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.5 * (Z(2) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + -4.0 * (Z(2) @ Z(6)) + -3.5 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(4)) + 1.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(9)) + -4.0 * (Z(8) @ Z(2)) + 1.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -4.0 * (Z(7) @ Z(6)) + -3.0 * (Z(7) @ Z(9)) + 1.5 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 1.5 * Z(5) + -2.5 * Z(4) + -3.0 * Z(6) + 2.0 * Z(9) + -2.5 * Z(2) + 1.0 * Z(8) + 1.0 * Z(7)",6,10,2,"{\"smallest_eigenvalues\": [-43.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -40.0, \"smallest_bitstrings\": [\"0010111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.7536) q[0];\nrz(0.0975) q[0];\nrx(0.7651) q[1];\nrz(-0.06) q[1];\nrx(-0.003) q[2];\nrz(0.8566) q[2];\nrx(0.7005) q[3];\nrz(1.022) q[3];\nrx(0.0062) q[4];\nrz(1.8054) q[4];\nrx(-0.0031) q[5];\nrz(1.2944) q[5];\nrx(0.003) q[6];\nrz(1.0474) q[6];\nrx(-0.0017) q[7];\nrz(1.6256) q[7];\nrx(0.0071) q[8];\nrz(1.6829) q[8];\nrx(-0.0009) q[9];\nrz(1.4238) q[9];\ncrx(0) q[9], q[8];\ncrx(0.002) q[9], q[7];\ncrx(0.0011) q[9], q[6];\ncrx(0.0028) q[9], q[5];\ncrx(-0.0025) q[9], q[4];\ncrx(-1.471) q[9], q[3];\ncrx(0.003) q[9], q[2];\ncrx(-1.5616) q[9], q[1];\ncrx(-0.7195) q[9], q[0];\ncrx(-0.003) q[8], q[9];\ncrx(0.002) q[8], q[7];\ncrx(0.0011) q[8], q[6];\ncrx(0.0028) q[8], q[5];\ncrx(-0.0025) q[8], q[4];\ncrx(-1.471) q[8], q[3];\ncrx(0.003) q[8], q[2];\ncrx(-1.5616) q[8], q[1];\ncrx(-0.7195) q[8], q[0];\ncrx(-0.003) q[7], q[9];\ncrx(0) q[7], q[8];\ncrx(0.0011) q[7], q[6];\ncrx(0.0028) q[7], q[5];\ncrx(-0.0025) q[7], q[4];\ncrx(-1.471) q[7], q[3];\ncrx(0.003) q[7], q[2];\ncrx(-1.5616) q[7], q[1];\ncrx(-0.7195) q[7], q[0];\ncrx(-0.003) q[6], q[9];\ncrx(0) q[6], q[8];\ncrx(0.002) q[6], q[7];\ncrx(0.0028) q[6], q[5];\ncrx(-0.0025) q[6], q[4];\ncrx(-1.471) q[6], q[3];\ncrx(0.003) q[6], q[2];\ncrx(-1.5616) q[6], q[1];\ncrx(-0.7195) q[6], q[0];\ncrx(-0.003) q[5], q[9];\ncrx(0) q[5], q[8];\ncrx(0.002) q[5], q[7];\ncrx(0.0011) q[5], q[6];\ncrx(-0.0025) q[5], q[4];\ncrx(-1.471) q[5], q[3];\ncrx(0.003) q[5], q[2];\ncrx(-1.5616) q[5], q[1];\ncrx(-0.7195) q[5], q[0];\ncrx(-0.003) q[4], q[9];\ncrx(0) q[4], q[8];\ncrx(0.002) q[4], q[7];\ncrx(0.0011) q[4], q[6];\ncrx(0.0028) q[4], q[5];\ncrx(-1.471) q[4], q[3];\ncrx(0.003) q[4], q[2];\ncrx(-1.5616) q[4], q[1];\ncrx(-0.7195) q[4], q[0];\ncrx(-0.003) q[3], q[9];\ncrx(0) q[3], q[8];\ncrx(0.002) q[3], q[7];\ncrx(0.0011) q[3], q[6];\ncrx(0.0028) q[3], q[5];\ncrx(-0.0025) q[3], q[4];\ncrx(0.003) q[3], q[2];\ncrx(-1.5616) q[3], q[1];\ncrx(-0.7195) q[3], q[0];\ncrx(-0.003) q[2], q[9];\ncrx(0) q[2], q[8];\ncrx(0.002) q[2], q[7];\ncrx(0.0011) q[2], q[6];\ncrx(0.0028) q[2], q[5];\ncrx(-0.0025) q[2], q[4];\ncrx(-1.471) q[2], q[3];\ncrx(-1.5616) q[2], q[1];\ncrx(-0.7195) q[2], q[0];\ncrx(-0.003) q[1], q[9];\ncrx(0) q[1], q[8];\ncrx(0.002) q[1], q[7];\ncrx(0.0011) q[1], q[6];\ncrx(0.0028) q[1], q[5];\ncrx(-0.0025) q[1], q[4];\ncrx(-1.471) q[1], q[3];\ncrx(0.003) q[1], q[2];\ncrx(-0.7195) q[1], q[0];\ncrx(-0.003) q[0], q[9];\ncrx(0) q[0], q[8];\ncrx(0.002) q[0], q[7];\ncrx(0.0011) q[0], q[6];\ncrx(0.0028) q[0], q[5];\ncrx(-0.0025) q[0], q[4];\ncrx(-1.471) q[0], q[3];\ncrx(0.003) q[0], q[2];\ncrx(-1.5616) q[0], q[1];\nrx(-0.0414) q[0];\nrz(0.1299) q[0];\nrx(0.4813) q[1];\nrz(-0.0286) q[1];\nrx(0.001) q[2];\nrz(1.1193) q[2];\nrx(0.5232) q[3];\nrz(1.6599) q[3];\nrx(-0.0027) q[4];\nrz(0.7349) q[4];\nrx(0) q[5];\nrz(0.5326) q[5];\nrx(0.0015) q[6];\nrz(1.2513) q[6];\nrx(0.0002) q[7];\nrz(0.1284) q[7];\nrx(-0.0012) q[8];\nrz(0.6041) q[8];\nrx(0.0038) q[9];\nrz(0.9805) q[9];\nrx(-0.1574) q[0];\nrz(0.0907) q[0];\nrx(0.607) q[1];\nrz(0.3612) q[1];\nrx(0.0032) q[2];\nrz(0.9942) q[2];\nrx(-0.051) q[3];\nrz(1.1833) q[3];\nrx(-0.0044) q[4];\nrz(1.1503) q[4];\nrx(0.0021) q[5];\nrz(2.0212) q[5];\nrx(-0.0024) q[6];\nrz(1.0314) q[6];\nrx(0.0034) q[7];\nrz(1.3365) q[7];\nrx(-0.0021) q[8];\nrz(1.8461) q[8];\nrx(0.0039) q[9];\nrz(1.5689) q[9];\ncrx(-0.0054) q[9], q[8];\ncrx(-0.0019) q[9], q[7];\ncrx(0.0008) q[9], q[6];\ncrx(0.0012) q[9], q[5];\ncrx(0.0047) q[9], q[4];\ncrx(0.8545) q[9], q[3];\ncrx(0.0023) q[9], q[2];\ncrx(-0.9717) q[9], q[1];\ncrx(-1.2096) q[9], q[0];\ncrx(0.0036) q[8], q[9];\ncrx(-0.0019) q[8], q[7];\ncrx(0.0008) q[8], q[6];\ncrx(0.0012) q[8], q[5];\ncrx(0.0047) q[8], q[4];\ncrx(0.8545) q[8], q[3];\ncrx(0.0023) q[8], q[2];\ncrx(-0.9717) q[8], q[1];\ncrx(-1.2096) q[8], q[0];\ncrx(0.0036) q[7], q[9];\ncrx(-0.0054) q[7], q[8];\ncrx(0.0008) q[7], q[6];\ncrx(0.0012) q[7], q[5];\ncrx(0.0047) q[7], q[4];\ncrx(0.8545) q[7], q[3];\ncrx(0.0023) q[7], q[2];\ncrx(-0.9717) q[7], q[1];\ncrx(-1.2096) q[7], q[0];\ncrx(0.0036) q[6], q[9];\ncrx(-0.0054) q[6], q[8];\ncrx(-0.0019) q[6], q[7];\ncrx(0.0012) q[6], q[5];\ncrx(0.0047) q[6], q[4];\ncrx(0.8545) q[6], q[3];\ncrx(0.0023) q[6], q[2];\ncrx(-0.9717) q[6], q[1];\ncrx(-1.2096) q[6], q[0];\ncrx(0.0036) q[5], q[9];\ncrx(-0.0054) q[5], q[8];\ncrx(-0.0019) q[5], q[7];\ncrx(0.0008) q[5], q[6];\ncrx(0.0047) q[5], q[4];\ncrx(0.8545) q[5], q[3];\ncrx(0.0023) q[5], q[2];\ncrx(-0.9717) q[5], q[1];\ncrx(-1.2096) q[5], q[0];\ncrx(0.0036) q[4], q[9];\ncrx(-0.0054) q[4], q[8];\ncrx(-0.0019) q[4], q[7];\ncrx(0.0008) q[4], q[6];\ncrx(0.0012) q[4], q[5];\ncrx(0.8545) q[4], q[3];\ncrx(0.0023) q[4], q[2];\ncrx(-0.9717) q[4], q[1];\ncrx(-1.2096) q[4], q[0];\ncrx(0.0036) q[3], q[9];\ncrx(-0.0054) q[3], q[8];\ncrx(-0.0019) q[3], q[7];\ncrx(0.0008) q[3], q[6];\ncrx(0.0012) q[3], q[5];\ncrx(0.0047) q[3], q[4];\ncrx(0.0023) q[3], q[2];\ncrx(-0.9717) q[3], q[1];\ncrx(-1.2096) q[3], q[0];\ncrx(0.0036) q[2], q[9];\ncrx(-0.0054) q[2], q[8];\ncrx(-0.0019) q[2], q[7];\ncrx(0.0008) q[2], q[6];\ncrx(0.0012) q[2], q[5];\ncrx(0.0047) q[2], q[4];\ncrx(0.8545) q[2], q[3];\ncrx(-0.9717) q[2], q[1];\ncrx(-1.2096) q[2], q[0];\ncrx(0.0036) q[1], q[9];\ncrx(-0.0054) q[1], q[8];\ncrx(-0.0019) q[1], q[7];\ncrx(0.0008) q[1], q[6];\ncrx(0.0012) q[1], q[5];\ncrx(0.0047) q[1], q[4];\ncrx(0.8545) q[1], q[3];\ncrx(0.0023) q[1], q[2];\ncrx(-1.2096) q[1], q[0];\ncrx(0.0036) q[0], q[9];\ncrx(-0.0054) q[0], q[8];\ncrx(-0.0019) q[0], q[7];\ncrx(0.0008) q[0], q[6];\ncrx(0.0012) q[0], q[5];\ncrx(0.0047) q[0], q[4];\ncrx(0.8545) q[0], q[3];\ncrx(0.0023) q[0], q[2];\ncrx(-0.9717) q[0], q[1];\nrx(-0.5683) q[0];\nrz(0.0095) q[0];\nrx(-0.6161) q[1];\nrz(0.008) q[1];\nrx(0.0018) q[2];\nrz(0.0035) q[2];\nrx(0.5805) q[3];\nrz(0.0075) q[3];\nrx(0.0031) q[4];\nrz(0.0061) q[4];\nrx(0.0012) q[5];\nrz(0.0066) q[5];\nrx(-0.0014) q[6];\nrz(0.005) q[6];\nrx(-0.0018) q[7];\nrz(0.0059) q[7];\nrx(-0.0013) q[8];\nrz(0.0007) q[8];\nrx(-0.0021) q[9];\nrz(0.0061) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x12) q[9], q[2];\ncrx(x26) q[9], q[1];\ncrx(x27) q[9], q[0];\ncrx(x4) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x12) q[8], q[2];\ncrx(x26) q[8], q[1];\ncrx(x27) q[8], q[0];\ncrx(x4) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x12) q[7], q[2];\ncrx(x26) q[7], q[1];\ncrx(x27) q[7], q[0];\ncrx(x4) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x12) q[6], q[2];\ncrx(x26) q[6], q[1];\ncrx(x27) q[6], q[0];\ncrx(x4) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x12) q[5], q[2];\ncrx(x26) q[5], q[1];\ncrx(x27) q[5], q[0];\ncrx(x4) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x12) q[4], q[2];\ncrx(x26) q[4], q[1];\ncrx(x27) q[4], q[0];\ncrx(x4) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x12) q[3], q[2];\ncrx(x26) q[3], q[1];\ncrx(x27) q[3], q[0];\ncrx(x4) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x26) q[2], q[1];\ncrx(x27) q[2], q[0];\ncrx(x4) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x12) q[1], q[2];\ncrx(x27) q[1], q[0];\ncrx(x4) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x12) q[0], q[2];\ncrx(x26) q[0], q[1];\nrx(x28) q[0];\nrz(x29) q[0];\nrx(x30) q[1];\nrz(x31) q[1];\nrx(x32) q[2];\nrz(x33) q[2];\nrx(x34) q[3];\nrz(x35) q[3];\nrx(x36) q[4];\nrz(x37) q[4];\nrx(x20) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x45) q[9];\nrz(x46) q[9];\nrx(x47) q[0];\nrz(x48) q[0];\nrx(x49) q[1];\nrz(x50) q[1];\nrx(x51) q[2];\nrz(x52) q[2];\nrx(x53) q[3];\nrz(x54) q[3];\nrx(x55) q[4];\nrz(x56) q[4];\nrx(x57) q[5];\nrz(x58) q[5];\nrx(x59) q[6];\nrz(x60) q[6];\nrx(x61) q[7];\nrz(x62) q[7];\nrx(x63) q[8];\nrz(x64) q[8];\nrx(x65) q[9];\nrz(x66) q[9];\ncrx(x67) q[9], q[8];\ncrx(x68) q[9], q[7];\ncrx(x69) q[9], q[6];\ncrx(x70) q[9], q[5];\ncrx(x71) q[9], q[4];\ncrx(x72) q[9], q[3];\ncrx(x73) q[9], q[2];\ncrx(x74) q[9], q[1];\ncrx(x75) q[9], q[0];\ncrx(x76) q[8], q[9];\ncrx(x68) q[8], q[7];\ncrx(x69) q[8], q[6];\ncrx(x70) q[8], q[5];\ncrx(x71) q[8], q[4];\ncrx(x72) q[8], q[3];\ncrx(x73) q[8], q[2];\ncrx(x74) q[8], q[1];\ncrx(x75) q[8], q[0];\ncrx(x76) q[7], q[9];\ncrx(x67) q[7], q[8];\ncrx(x69) q[7], q[6];\ncrx(x70) q[7], q[5];\ncrx(x71) q[7], q[4];\ncrx(x72) q[7], q[3];\ncrx(x73) q[7], q[2];\ncrx(x74) q[7], q[1];\ncrx(x75) q[7], q[0];\ncrx(x76) q[6], q[9];\ncrx(x67) q[6], q[8];\ncrx(x68) q[6], q[7];\ncrx(x70) q[6], q[5];\ncrx(x71) q[6], q[4];\ncrx(x72) q[6], q[3];\ncrx(x73) q[6], q[2];\ncrx(x74) q[6], q[1];\ncrx(x75) q[6], q[0];\ncrx(x76) q[5], q[9];\ncrx(x67) q[5], q[8];\ncrx(x68) q[5], q[7];\ncrx(x69) q[5], q[6];\ncrx(x71) q[5], q[4];\ncrx(x72) q[5], q[3];\ncrx(x73) q[5], q[2];\ncrx(x74) q[5], q[1];\ncrx(x75) q[5], q[0];\ncrx(x76) q[4], q[9];\ncrx(x67) q[4], q[8];\ncrx(x68) q[4], q[7];\ncrx(x69) q[4], q[6];\ncrx(x70) q[4], q[5];\ncrx(x72) q[4], q[3];\ncrx(x73) q[4], q[2];\ncrx(x74) q[4], q[1];\ncrx(x75) q[4], q[0];\ncrx(x76) q[3], q[9];\ncrx(x67) q[3], q[8];\ncrx(x68) q[3], q[7];\ncrx(x69) q[3], q[6];\ncrx(x70) q[3], q[5];\ncrx(x71) q[3], q[4];\ncrx(x73) q[3], q[2];\ncrx(x74) q[3], q[1];\ncrx(x75) q[3], q[0];\ncrx(x76) q[2], q[9];\ncrx(x67) q[2], q[8];\ncrx(x68) q[2], q[7];\ncrx(x69) q[2], q[6];\ncrx(x70) q[2], q[5];\ncrx(x71) q[2], q[4];\ncrx(x72) q[2], q[3];\ncrx(x74) q[2], q[1];\ncrx(x75) q[2], q[0];\ncrx(x76) q[1], q[9];\ncrx(x67) q[1], q[8];\ncrx(x68) q[1], q[7];\ncrx(x69) q[1], q[6];\ncrx(x70) q[1], q[5];\ncrx(x71) q[1], q[4];\ncrx(x72) q[1], q[3];\ncrx(x73) q[1], q[2];\ncrx(x75) q[1], q[0];\ncrx(x76) q[0], q[9];\ncrx(x67) q[0], q[8];\ncrx(x68) q[0], q[7];\ncrx(x69) q[0], q[6];\ncrx(x70) q[0], q[5];\ncrx(x71) q[0], q[4];\ncrx(x72) q[0], q[3];\ncrx(x73) q[0], q[2];\ncrx(x74) q[0], q[1];\nrx(x77) q[0];\nrz(x78) q[0];\nrx(x79) q[1];\nrz(x80) q[1];\nrx(x81) q[2];\nrz(x82) q[2];\nrx(x83) q[3];\nrz(x84) q[3];\nrx(x85) q[4];\nrz(x86) q[4];\nrx(x70) q[5];\nrz(x87) q[5];\nrx(x88) q[6];\nrz(x89) q[6];\nrx(x90) q[7];\nrz(x91) q[7];\nrx(x92) q[8];\nrz(x93) q[8];\nrx(x63) q[9];\nrz(x86) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["723b73fdc30b23dba77c4958fef78f24","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 6}]}","{\"states\": [113, 53], \"expectation_value\": -3.79062548108071, \"params\": null, \"bitstrings\": [\"0001110\", \"1001010\"], \"total_optimization_steps\": 46, \"probabilities\": [0.04769126139284315, 0.8614509210248673], \"optimization_time\": 35.353190660476685}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[5];\nry(-1.4449) q[2];\nry(1.4449) q[1];\ncry(-1.0398) q[4], q[0];\ncry(-1.0398) q[6], q[3];\nry(0.7022) q[6];\nry(0.7022) q[4];\nry(-0.4578) q[0];\ncry(0.497) q[1], q[4];\nry(-0.4578) q[3];\ncry(0.497) q[1], q[6];\ncry(-0.3761) q[1], q[3];\ncry(-0.3761) q[1], q[0];\ncry(0.2418) q[4], q[6];\ncry(0.2403) q[6], q[4];\ncry(-0.142) q[6], q[0];\ncry(-0.1416) q[4], q[3];\ncry(0.1078) q[4], q[1];\ncry(0.6327) q[4], q[2];\ncry(1.7583) q[6], q[2];\ncry(0.4531) q[1], q[2];\ncry(-0.0508) q[2], q[0];\ncry(-0.0481) q[2], q[3];\ncry(0.1009) q[2], q[4];\ncry(-0.1576) q[3], q[2];\ncry(0.0668) q[2], q[6];\ncry(-0.1295) q[0], q[2];\ncry(-0.0027) q[1], q[5];\ncry(0.0354) q[3], q[4];\ncry(0.0144) q[6], q[1];\ncry(0.02) q[0], q[1];\ncry(0.0196) q[0], q[6];\ncry(-0.0129) q[0], q[3];\ncry(-0.0132) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":35753,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nry(-1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nry(-1.4449) q[2];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nry(-1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0398) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nry(-1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0398) q[4], q[0];\\ncry(-1.0398) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nry(-1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0398) q[4], q[0];\\ncry(-1.0398) q[6], q[3];\\nry(0.7022) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nry(-1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0398) q[4], q[0];\\ncry(-1.0398) q[6], q[3];\\nry(0.7022) q[6];\\nry(0.7022) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nry(-1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0398) q[4], q[0];\\ncry(-1.0398) q[6], q[3];\\nry(0.7022) q[6];\\nry(0.7022) q[4];\\nry(-0.4578) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nry(-1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0398) q[4], q[0];\\ncry(-1.0398) q[6], q[3];\\nry(0.7022) q[6];\\nry(0.7022) q[4];\\nry(-0.4578) q[0];\\ncry(0.497) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[5];\\nry(-1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0398) q[4], q[0];\\ncry(-1.0398) q[6], q[3];\\nry(0.7022) q[6];\\nry(0.7022) q[4];\\nry(-0.4578) q[0];\\ncry(0.497) q[1], q[4];\\nry(-0.4578) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];"}}]
["-2692663721775254224","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[8, 1], [0, 8, 2], [2, 3, 4, 7], [8, 4], [8, 5], [3, 6]]}","{\"states\": [97, 99], \"expectation_value\": -2.3005466726825876, \"params\": null, \"bitstrings\": [\"110011110\", \"110011100\"], \"total_optimization_steps\": 76, \"probabilities\": [0.14512773478928898, 0.6158416290090808], \"optimization_time\": 145.47570705413818}","0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(1) + 0.16666666666666674 * Z(8) + 0.16666666666666666 * Z(0) + 0.29166666666666663 * Z(2) + 0.125 * Z(3) + 0.1250000000000001 * Z(4) + 0.125 * Z(7) + 0.0 * Z(5) + 0.0 * Z(6)",1,9,1,"{\"smallest_eigenvalues\": [-2.583333333333333, -2.583333333333333, -2.583333333333333], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"000100001\", \"000000111\", \"110011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.1408) q[2];\ncry(-1.0342) q[8], q[5];\nry(0.7297) q[8];\ncry(-1.3311) q[8], q[1];\ncry(-1.2704) q[8], q[4];\ncry(0.3018) q[2], q[8];\nry(-0.6181) q[5];\ncry(-1.0342) q[3], q[6];\nry(0.8948) q[3];\nry(-0.6084) q[6];\ncry(0.4588) q[2], q[3];\ncry(-0.313) q[2], q[6];\ncry(-0.6022) q[8], q[0];\ncry(0.1111) q[3], q[8];\ncry(-0.2147) q[2], q[4];\ncry(0.1708) q[8], q[3];\ncry(0.2821) q[3], q[2];\ncry(-0.3693) q[2], q[0];\ncry(-0.1462) q[2], q[1];\nry(-0.2081) q[0];\ncry(-0.1076) q[2], q[5];\ncry(0.0748) q[7], q[8];\ncry(-0.1016) q[8], q[6];\ncry(0.2218) q[8], q[7];\nry(0.1932) q[7];\ncry(-0.0884) q[7], q[4];\ncry(0.1877) q[1], q[5];\ncry(0.1972) q[5], q[1];\ncry(0.1853) q[1], q[4];\ncry(0.1891) q[4], q[5];\ncry(0.1936) q[5], q[4];\ncry(0.2062) q[4], q[1];\ncry(0.1547) q[2], q[7];\ncry(0.1021) q[8], q[2];\ncry(-0.1211) q[3], q[0];\ncry(-0.0981) q[4], q[8];\nry(0.039) q[4];\ncry(0.0897) q[3], q[7];\ncry(0.0417) q[7], q[3];\ncry(-0.0677) q[7], q[0];\ncry(-0.0609) q[5], q[8];\ncry(-0.0296) q[7], q[6];\ncry(0.0461) q[7], q[2];\ncry(0.0651) q[1], q[0];\ncry(0.0627) q[0], q[5];\ncry(0.0656) q[5], q[0];\ncry(0.0664) q[4], q[0];\ncry(0.0689) q[0], q[1];\ncry(0.0647) q[0], q[4];\ncry(-0.0291) q[7], q[1];\ncry(0.0502) q[6], q[8];\ncry(-0.0505) q[1], q[8];\ncry(0.0551) q[6], q[7];\ncry(-0.0522) q[4], q[7];\ncry(0.0458) q[6], q[2];\nry(0.0202) q[1];\ncry(-0.0161) q[7], q[5];\ncry(0.0184) q[3], q[5];\ncry(0.031) q[1], q[3];\ncry(0.0293) q[1], q[2];\ncry(0.0267) q[4], q[2];\ncry(0.0248) q[5], q[3];\ncry(0.0225) q[0], q[8];\ncry(0.0207) q[5], q[2];\ncry(-0.0223) q[1], q[7];\ncry(-0.0216) q[5], q[7];\ncry(0.0185) q[4], q[3];\ncry(0.0169) q[6], q[4];\ncry(-0.0055) q[3], q[4];\ncry(-0.0139) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":96468,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.1408) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.1408) q[2];\\ncry(-1.0342) q[8], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.1408) q[2];\\ncry(-1.0342) q[8], q[5];\\nry(0.7297) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.1408) q[2];\\ncry(-1.0342) q[8], q[5];\\nry(0.7297) q[8];\\ncry(-1.3311) q[8], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.1408) q[2];\\ncry(-1.0342) q[8], q[5];\\nry(0.7297) q[8];\\ncry(-1.3311) q[8], q[1];\\ncry(-1.2704) q[8], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.1408) q[2];\\ncry(-1.0342) q[8], q[5];\\nry(0.7297) q[8];\\ncry(-1.3311) q[8], q[1];\\ncry(-1.2704) q[8], q[4];\\ncry(0.3018) q[2], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.1408) q[2];\\ncry(-1.0342) q[8], q[5];\\nry(0.7297) q[8];\\ncry(-1.3311) q[8], q[1];\\ncry(-1.2704) q[8], q[4];\\ncry(0.3018) q[2], q[8];\\nry(-0.6181) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.1408) q[2];\\ncry(-1.0342) q[8], q[5];\\nry(0.7297) q[8];\\ncry(-1.3311) q[8], q[1];\\ncry(-1.2704) q[8], q[4];\\ncry(0.3018) q[2], q[8];\\nry(-0.6181) q[5];\\ncry(-1.0342) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.1408) q[2];\\ncry(-1.0342) q[8], q[5];\\nry(0.7297) q[8];\\ncry(-1.3311) q[8], q[1];\\ncry(-1.2704) q[8], q[4];\\ncry(0.3018) q[2], q[8];\\nry(-0.6181) q[5];\\ncry(-1.0342) q[3], q[6];\\nry(0.8948) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc"}}]
["e9af1a9f112f5a53fb57fbd0d9beb1bf","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}]}","{\"states\": [63, 62], \"expectation_value\": -8.023090846737073, \"params\": [[[-0.0025, 3.1588000000000003], [0.0028, -0.0026000000000000003], [0.0026000000000000003, 0.0027], [0.0024000000000000002, -0.0149], [-1.6182, 0.0026000000000000003], [-0.0027, 0.0022]]], \"bitstrings\": [\"000000\", \"000001\"], \"total_optimization_steps\": 320, \"probabilities\": [0.4762455303544399, 0.5236073619890832], \"optimization_time\": 5.348419666290283}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(5)",15,6,1,"{\"smallest_eigenvalues\": [-8.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.5, \"smallest_bitstrings\": [\"000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nry(-0.0025) q[0];\nry(0.0028) q[1];\nry(0.0026) q[2];\nry(0.0024) q[3];\nry(-1.6182) q[4];\nry(-0.0027) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(3.1588) q[0];\nry(-0.0026) q[1];\nry(0.0027) q[2];\nry(-0.0149) q[3];\nry(0.0026) q[4];\nry(0.0022) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x6) q[0];\nry(x7) q[1];\nry(x8) q[2];\nry(x9) q[3];\nry(x2) q[4];\nry(x10) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"node\": 6}","{\"circuits\": [], \"gradients\": []}"]
["563fe0ee35342a7adbb26905c51bef72","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 5}, {\"weight\": 18, \"source\": 0, \"target\": 6}, {\"weight\": 14, \"source\": 0, \"target\": 8}, {\"weight\": 2, \"source\": 1, \"target\": 6}, {\"weight\": 19, \"source\": 1, \"target\": 8}, {\"weight\": 9, \"source\": 2, \"target\": 7}, {\"weight\": 16, \"source\": 2, \"target\": 8}, {\"weight\": 9, \"source\": 3, \"target\": 8}, {\"weight\": 8, \"source\": 4, \"target\": 9}, {\"weight\": 11, \"source\": 4, \"target\": 7}]}","{\"states\": [430, 426], \"expectation_value\": -92.89957127026618, \"params\": [0.45380000000000004, 0.0037, 2.9015, 0.007500000000000001, 2.8954, 0.0092, 0.46280000000000004, 0.0005, 2.8953, 0.0045000000000000005, 1.0493000000000001, 0.0035, 2.9018, 0.0068000000000000005, 1.4863000000000002, 0.0071, 2.8973, 0.0034000000000000002, 0.0019, 0.0088, 0.0054, 0.0028, 0.00030000000000000003, 0.0071, 0.0001, 0.0037, 0.0053, 0.0092, 0.0009000000000000001, 0.0041], \"bitstrings\": [\"1001010001\", \"1001010101\"], \"total_optimization_steps\": 290, \"probabilities\": [0.28639994933656127, 0.33920278201945725], \"optimization_time\": 26.031639575958252}","6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(9) @ Z(8)) + 1.0 * Z(0) + 25.0 * Z(2) + 15.0 * Z(1) + 1.0 * Z(3) + 21.5 * Z(4) + 20.0 * Z(6) + 4.5 * Z(5) + 10.5 * Z(7) + 5.5 * Z(8) + -2.0 * Z(9)",18,10,1,"{\"smallest_eigenvalues\": [-108.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -93.0, \"smallest_bitstrings\": [\"1001010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.4538) q[0];\nrz(0.0037) q[0];\nrx(2.9015) q[1];\nrz(0.0075) q[1];\nrx(2.8954) q[2];\nrz(0.0092) q[2];\nrx(0.4628) q[3];\nrz(0.0005) q[3];\nrx(2.8953) q[4];\nrz(0.0045) q[4];\nrx(1.0493) q[5];\nrz(0.0035) q[5];\nrx(2.9018) q[6];\nrz(0.0068) q[6];\nrx(1.4863) q[7];\nrz(0.0071) q[7];\nrx(2.8973) q[8];\nrz(0.0034) q[8];\nrx(0.0019) q[9];\nrz(0.0088) q[9];\ncrz(0.0054) q[9], q[0];\ncrz(0.0041) q[8], q[9];\ncrz(0.0009) q[7], q[8];\ncrz(0.0092) q[6], q[7];\ncrz(0.0053) q[5], q[6];\ncrz(0.0037) q[4], q[5];\ncrz(0.0001) q[3], q[4];\ncrz(0.0071) q[2], q[3];\ncrz(0.0003) q[1], q[2];\ncrz(0.0028) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[9], q[0];\ncrz(x21) q[8], q[9];\ncrz(x22) q[7], q[8];\ncrz(x5) q[6], q[7];\ncrz(x23) q[5], q[6];\ncrz(x1) q[4], q[5];\ncrz(x24) q[3], q[4];\ncrz(x15) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4], \\\"right_nodes\\\": [5, 6, 7, 8, 9, 10]}\"}","{\"circuits\": [], \"gradients\": []}"]
["8477355649959193433","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[9, 4, 5, 1], [0, 5], [0, 1, 6, 9], [8, 4, 5], [3, 5, 7], [0, 1, 2, 3, 4, 9], [8, 9, 4, 1], [0, 6, 7], [8, 9, 2, 4], [0, 9, 4, 8], [9, 2, 5], [3, 6], [1, 3, 7], [8, 9, 2, 3], [9, 5, 6, 7], [8, 2, 5, 6]]}","{\"states\": [415, 287], \"expectation_value\": -3.860356265920327, \"params\": [0.2717, 0.7421, 0.2733, 0.0033, 1.6796, 0.4005, 1.4679, 0.002, 1.2674, -0.3398, 0.7832, 0.0078000000000000005, 0.2985, 0.7515000000000001, 0.2884, 0.009300000000000001, 0.6744, -0.6482, 0.6668000000000001, 0.0011, 1.6686, 0.3534, 1.4556, 0.0076, 1.5105000000000002, 0.3136, 1.4885000000000002, 0.0039000000000000003, 1.6915, 0.3911, 1.474, 0.0054, 1.6666, 0.40850000000000003, 1.4462000000000002, 0.0008, 1.6869, 0.38, 1.4012, 0.0024000000000000002, 0.643, 0.0048000000000000004, -0.2711, 0.6278, -0.3889, 0.0159, 0.021500000000000002, 0.0137, -0.0051, 0.0012000000000000001], \"bitstrings\": [\"1001100000\", \"1011100000\"], \"total_optimization_steps\": 170, \"probabilities\": [0.3090409926890488, 0.5926554959883457], \"optimization_time\": 72.52539110183716}","0.36666666666666664 * (Z(9) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(9)) + 0.2 * (Z(1) @ Z(4)) + 0.2833333333333333 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.11666666666666667 * (Z(0) @ Z(4)) + 0.2 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(5)) + 0.11666666666666667 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(0)) + 0.41666666666666663 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(8) @ Z(9)) + 0.25 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.11666666666666667 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.19999999999999998 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.25 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.11666666666666667 * (Z(2) @ Z(4)) + 0.36666666666666664 * (Z(2) @ Z(9)) + 0.25 * (Z(2) @ Z(5)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(8)) + 0.11666666666666667 * (Z(2) @ Z(3)) + 0.7500000000000002 * Z(4) + 1.125 * Z(9) + 0.875 * Z(5) + 0.6250000000000002 * Z(1) + 0.5000000000000002 * Z(0) + 0.5416666666666667 * Z(6) + 0.7916666666666664 * Z(8) + 0.5416666666666665 * Z(3) + 0.625 * Z(7) + 0.625 * Z(2)",5,10,1,"{\"smallest_eigenvalues\": [-4.033333333333333], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.933333333333333, \"smallest_bitstrings\": [\"1011100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.2717) q[0];\nrz(0.7421) q[0];\nrx(1.6796) q[1];\nrz(0.4005) q[1];\nrx(1.2674) q[2];\nrz(-0.3398) q[2];\nrx(0.2985) q[3];\nrz(0.7515) q[3];\nrx(0.6744) q[4];\nrz(-0.6482) q[4];\nrx(1.6686) q[5];\nrz(0.3534) q[5];\nrx(1.5105) q[6];\nrz(0.3136) q[6];\nrx(1.6915) q[7];\nrz(0.3911) q[7];\nrx(1.6666) q[8];\nrz(0.4085) q[8];\nrx(1.6869) q[9];\nrz(0.38) q[9];\ncrz(-0.0051) q[9], q[8];\ncrz(0.0137) q[9], q[7];\ncrz(0.0215) q[9], q[6];\ncrz(0.0159) q[9], q[5];\ncrz(-0.3889) q[9], q[4];\ncrz(0.6278) q[9], q[3];\ncrz(-0.2711) q[9], q[2];\ncrz(0.0048) q[9], q[1];\ncrz(0.643) q[9], q[0];\ncrz(0.0012) q[8], q[9];\ncrz(0.0137) q[8], q[7];\ncrz(0.0215) q[8], q[6];\ncrz(0.0159) q[8], q[5];\ncrz(-0.3889) q[8], q[4];\ncrz(0.6278) q[8], q[3];\ncrz(-0.2711) q[8], q[2];\ncrz(0.0048) q[8], q[1];\ncrz(0.643) q[8], q[0];\ncrz(0.0012) q[7], q[9];\ncrz(-0.0051) q[7], q[8];\ncrz(0.0215) q[7], q[6];\ncrz(0.0159) q[7], q[5];\ncrz(-0.3889) q[7], q[4];\ncrz(0.6278) q[7], q[3];\ncrz(-0.2711) q[7], q[2];\ncrz(0.0048) q[7], q[1];\ncrz(0.643) q[7], q[0];\ncrz(0.0012) q[6], q[9];\ncrz(-0.0051) q[6], q[8];\ncrz(0.0137) q[6], q[7];\ncrz(0.0159) q[6], q[5];\ncrz(-0.3889) q[6], q[4];\ncrz(0.6278) q[6], q[3];\ncrz(-0.2711) q[6], q[2];\ncrz(0.0048) q[6], q[1];\ncrz(0.643) q[6], q[0];\ncrz(0.0012) q[5], q[9];\ncrz(-0.0051) q[5], q[8];\ncrz(0.0137) q[5], q[7];\ncrz(0.0215) q[5], q[6];\ncrz(-0.3889) q[5], q[4];\ncrz(0.6278) q[5], q[3];\ncrz(-0.2711) q[5], q[2];\ncrz(0.0048) q[5], q[1];\ncrz(0.643) q[5], q[0];\ncrz(0.0012) q[4], q[9];\ncrz(-0.0051) q[4], q[8];\ncrz(0.0137) q[4], q[7];\ncrz(0.0215) q[4], q[6];\ncrz(0.0159) q[4], q[5];\ncrz(0.6278) q[4], q[3];\ncrz(-0.2711) q[4], q[2];\ncrz(0.0048) q[4], q[1];\ncrz(0.643) q[4], q[0];\ncrz(0.0012) q[3], q[9];\ncrz(-0.0051) q[3], q[8];\ncrz(0.0137) q[3], q[7];\ncrz(0.0215) q[3], q[6];\ncrz(0.0159) q[3], q[5];\ncrz(-0.3889) q[3], q[4];\ncrz(-0.2711) q[3], q[2];\ncrz(0.0048) q[3], q[1];\ncrz(0.643) q[3], q[0];\ncrz(0.0012) q[2], q[9];\ncrz(-0.0051) q[2], q[8];\ncrz(0.0137) q[2], q[7];\ncrz(0.0215) q[2], q[6];\ncrz(0.0159) q[2], q[5];\ncrz(-0.3889) q[2], q[4];\ncrz(0.6278) q[2], q[3];\ncrz(0.0048) q[2], q[1];\ncrz(0.643) q[2], q[0];\ncrz(0.0012) q[1], q[9];\ncrz(-0.0051) q[1], q[8];\ncrz(0.0137) q[1], q[7];\ncrz(0.0215) q[1], q[6];\ncrz(0.0159) q[1], q[5];\ncrz(-0.3889) q[1], q[4];\ncrz(0.6278) q[1], q[3];\ncrz(-0.2711) q[1], q[2];\ncrz(0.643) q[1], q[0];\ncrz(0.0012) q[0], q[9];\ncrz(-0.0051) q[0], q[8];\ncrz(0.0137) q[0], q[7];\ncrz(0.0215) q[0], q[6];\ncrz(0.0159) q[0], q[5];\ncrz(-0.3889) q[0], q[4];\ncrz(0.6278) q[0], q[3];\ncrz(-0.2711) q[0], q[2];\ncrz(0.0048) q[0], q[1];\nrx(0.2733) q[0];\nrz(0.0033) q[0];\nrx(1.4679) q[1];\nrz(0.002) q[1];\nrx(0.7832) q[2];\nrz(0.0078) q[2];\nrx(0.2884) q[3];\nrz(0.0093) q[3];\nrx(0.6668) q[4];\nrz(0.0011) q[4];\nrx(1.4556) q[5];\nrz(0.0076) q[5];\nrx(1.4885) q[6];\nrz(0.0039) q[6];\nrx(1.474) q[7];\nrz(0.0054) q[7];\nrx(1.4462) q[8];\nrz(0.0008) q[8];\nrx(1.4012) q[9];\nrz(0.0024) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[9], q[8];\ncrz(x21) q[9], q[7];\ncrz(x22) q[9], q[6];\ncrz(x23) q[9], q[5];\ncrz(x24) q[9], q[4];\ncrz(x25) q[9], q[3];\ncrz(x26) q[9], q[2];\ncrz(x27) q[9], q[1];\ncrz(x28) q[9], q[0];\ncrz(x29) q[8], q[9];\ncrz(x21) q[8], q[7];\ncrz(x22) q[8], q[6];\ncrz(x23) q[8], q[5];\ncrz(x24) q[8], q[4];\ncrz(x25) q[8], q[3];\ncrz(x26) q[8], q[2];\ncrz(x27) q[8], q[1];\ncrz(x28) q[8], q[0];\ncrz(x29) q[7], q[9];\ncrz(x20) q[7], q[8];\ncrz(x22) q[7], q[6];\ncrz(x23) q[7], q[5];\ncrz(x24) q[7], q[4];\ncrz(x25) q[7], q[3];\ncrz(x26) q[7], q[2];\ncrz(x27) q[7], q[1];\ncrz(x28) q[7], q[0];\ncrz(x29) q[6], q[9];\ncrz(x20) q[6], q[8];\ncrz(x21) q[6], q[7];\ncrz(x23) q[6], q[5];\ncrz(x24) q[6], q[4];\ncrz(x25) q[6], q[3];\ncrz(x26) q[6], q[2];\ncrz(x27) q[6], q[1];\ncrz(x28) q[6], q[0];\ncrz(x29) q[5], q[9];\ncrz(x20) q[5], q[8];\ncrz(x21) q[5], q[7];\ncrz(x22) q[5], q[6];\ncrz(x24) q[5], q[4];\ncrz(x25) q[5], q[3];\ncrz(x26) q[5], q[2];\ncrz(x27) q[5], q[1];\ncrz(x28) q[5], q[0];\ncrz(x29) q[4], q[9];\ncrz(x20) q[4], q[8];\ncrz(x21) q[4], q[7];\ncrz(x22) q[4], q[6];\ncrz(x23) q[4], q[5];\ncrz(x25) q[4], q[3];\ncrz(x26) q[4], q[2];\ncrz(x27) q[4], q[1];\ncrz(x28) q[4], q[0];\ncrz(x29) q[3], q[9];\ncrz(x20) q[3], q[8];\ncrz(x21) q[3], q[7];\ncrz(x22) q[3], q[6];\ncrz(x23) q[3], q[5];\ncrz(x24) q[3], q[4];\ncrz(x26) q[3], q[2];\ncrz(x27) q[3], q[1];\ncrz(x28) q[3], q[0];\ncrz(x29) q[2], q[9];\ncrz(x20) q[2], q[8];\ncrz(x21) q[2], q[7];\ncrz(x22) q[2], q[6];\ncrz(x23) q[2], q[5];\ncrz(x24) q[2], q[4];\ncrz(x25) q[2], q[3];\ncrz(x27) q[2], q[1];\ncrz(x28) q[2], q[0];\ncrz(x29) q[1], q[9];\ncrz(x20) q[1], q[8];\ncrz(x21) q[1], q[7];\ncrz(x22) q[1], q[6];\ncrz(x23) q[1], q[5];\ncrz(x24) q[1], q[4];\ncrz(x25) q[1], q[3];\ncrz(x26) q[1], q[2];\ncrz(x28) q[1], q[0];\ncrz(x29) q[0], q[9];\ncrz(x20) q[0], q[8];\ncrz(x21) q[0], q[7];\ncrz(x22) q[0], q[6];\ncrz(x23) q[0], q[5];\ncrz(x24) q[0], q[4];\ncrz(x25) q[0], q[3];\ncrz(x26) q[0], q[2];\ncrz(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nrx(x46) q[8];\nrz(x47) q[8];\nrx(x48) q[9];\nrz(x49) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["a5c40d068011c4e4e7f2c8be1bf9e74e","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 2, \"target\": 3}]}","{\"states\": [16, 1], \"expectation_value\": -6.193832856874677, \"params\": null, \"bitstrings\": [\"01111\", \"11110\"], \"total_optimization_steps\": 16, \"probabilities\": [0.16217477587726464, 0.8147160154427896], \"optimization_time\": 8.827763080596924}","-1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3)",1,5,2,"{\"smallest_eigenvalues\": [-6.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.75, \"smallest_bitstrings\": [\"11110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\ncry(-1.5681) q[4], q[0];\nry(1.111) q[4];\nry(-0.4823) q[0];\nry(-1.5486) q[2];\nry(-1.5628) q[1];\ncry(-0.2079) q[0], q[4];\ncry(-0.0222) q[4], q[2];\ncry(-0.0079) q[4], q[1];\ncry(-0.0161) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"source\": 0, \"sink\": 4}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\ncry(-0.0222) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\ncry(-0.0222) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\ncry(-0.0222) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\ncry(-0.0222) q[4], q[2];\\ncry(-0.0079) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\ncry(-0.0222) q[4], q[2];\\ncry(-0.0079) q[4], q[1];\\ncry(-0.0161) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\ncry(-0.0222) q[4], q[2];\\ncry(-0.0079) q[4], q[1];\\ncry(-0.0161) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\ncry(-0.0222) q[4], q[2];\\ncry(-0.0079) q[4], q[1];\\ncry(-0.0161) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\ncry(-0.0222) q[4], q[2];\\ncry(-0.0079) q[4], q[1];\\ncry(-0.0161) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.5681) q[4], q[0];\\nry(1.111) q[4];\\nry(-0.4823) q[0];\\nry(-1.5486) q[2];\\nry(-1.5628) q[1];\\ncry(-0.2079) q[0], q[4];\\ncry(-0.0222) q[4], q[2];\\ncry(-0.0079) q[4], q[1];\\ncry(-0.0161) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [2.2421, 0.9999, 1.763, 0.8508, 0.7479, 0.8778, 0.0809, 0.0284, 0.0089, 0.0082, 0.0073, 0.0057, 0.0048, 0.0037, 0.0037, 0.003]}"]
["aaa0b19e64bf3c35281517d1fd2e9593","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 4}]}","{\"states\": [39, 23], \"expectation_value\": -0.3603378603142312, \"params\": [[-0.0626, -0.046700000000000005, -0.026500000000000003], [0.0757, 0.0697, 0.0548]], \"bitstrings\": [\"011000\", \"101000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.021879456620974364, 0.022552922979383064], \"optimization_time\": 2.779867172241211}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4)",1,6,3,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"011000\", \"101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0626) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0626) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(-0.0626) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0626) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.0626) q[4];\ncx q[2], q[4];\nrz(0.0626) q[1];\nrz(0) q[0];\nrz(0.1878) q[2];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1514) q[0];\nh q[0];\nh q[1];\nrz(0.1514) q[1];\nh q[1];\nh q[2];\nrz(0.1514) q[2];\nh q[2];\nh q[3];\nrz(0.1514) q[3];\nh q[3];\nh q[4];\nrz(0.1514) q[4];\nh q[4];\nh q[5];\nrz(0.1514) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0467) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0467) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(-0.0467) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0467) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.0467) q[4];\ncx q[2], q[4];\nrz(0.0467) q[1];\nrz(0) q[0];\nrz(0.1401) q[2];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1394) q[0];\nh q[0];\nh q[1];\nrz(0.1394) q[1];\nh q[1];\nh q[2];\nrz(0.1394) q[2];\nh q[2];\nh q[3];\nrz(0.1394) q[3];\nh q[3];\nh q[4];\nrz(0.1394) q[4];\nh q[4];\nh q[5];\nrz(0.1394) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0265) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0265) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(-0.0265) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0265) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.0265) q[4];\ncx q[2], q[4];\nrz(0.0265) q[1];\nrz(0) q[0];\nrz(0.0795) q[2];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1096) q[0];\nh q[0];\nh q[1];\nrz(0.1096) q[1];\nh q[1];\nh q[2];\nrz(0.1096) q[2];\nh q[2];\nh q[3];\nrz(0.1096) q[3];\nh q[3];\nh q[4];\nrz(0.1096) q[4];\nh q[4];\nh q[5];\nrz(0.1096) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[4];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x5) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x5) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\nrz(x6) q[1];\nrz(x2) q[0];\nrz(x7) q[2];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[4];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\nrz(x10) q[1];\nrz(x2) q[0];\nrz(x11) q[2];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["8ca1cc128f26bbc587d2dbeb0c149cd8","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [7, 22], \"expectation_value\": -4.496397975823587, \"params\": null, \"bitstrings\": [\"1111000\", \"1101001\"], \"total_optimization_steps\": 27, \"probabilities\": [0.06635229672491205, 0.9303266266439268], \"optimization_time\": 22.416858911514282}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(6) + -1.0 * Z(3) + 0.0 * Z(5)",1,7,3,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"1011100\", \"1101001\", \"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nry(-1.5681) q[0];\nry(-1.4449) q[3];\nry(1.4417) q[5];\nry(1.4417) q[4];\ncry(-1.0343) q[2], q[6];\nry(0.7003) q[2];\ncry(-0.1259) q[5], q[3];\nry(-0.4549) q[6];\ncry(0.4962) q[5], q[2];\ncry(-0.3788) q[5], q[6];\ncry(0.2489) q[4], q[2];\ncry(-0.1488) q[4], q[6];\ncry(0.121) q[5], q[4];\ncry(0.1183) q[4], q[5];\ncry(-0.0027) q[5], q[0];\ncry(-0.0227) q[6], q[2];\ncry(-0.0005) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\ncry(-0.0227) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\ncry(-0.0227) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\ncry(-0.0227) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\ncry(-0.0227) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\ncry(-0.0227) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\ncry(-0.0227) q[6], q[2];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\ncry(-0.0227) q[6], q[2];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(1.4417) q[5];\\nry(1.4417) q[4];\\ncry(-1.0343) q[2], q[6];\\nry(0.7003) q[2];\\ncry(-0.1259) q[5], q[3];\\nry(-0.4549) q[6];\\ncry(0.4962) q[5], q[2];\\ncry(-0.3788) q[5], q[6];\\ncry(0.2489) q[4], q[2];\\ncry(-0.1488) q[4], q[6];\\ncry(0.121) q[5], q[4];\\ncry(0.1183) q[4], q[5];\\ncry(-0.0027) q[5], q[0];\\ncry(-0.0227) q[6], q[2];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.5105, 1.0062, 0.503, 0.4961, 0.4958, 0.2509, 0.2451, 0.1917, 0.1886, 0.2236, 0.1882, 0.1273, 0.0785, 0.0628, 0.0615, 0.0085, 0.006, 0.006, 0.0057, 0.0049, 0.0045, 0.0045, 0.0043, 0.0043, 0.0037, 0.003, 0.003]}"]
["a4b3b2771ff4e4ca105df7c0df433cd0","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}]}","{\"states\": [64, 90], \"expectation_value\": -6.132306295163199, \"params\": [[[-0.0751, -0.28500000000000003, 0.0004, 0.0067], [-0.6867000000000001, 0.1041, 0.7001000000000001, 0.007200000000000001], [0.0, 0.030100000000000002, 0.0009000000000000001, -0.2731], [0.0035, 0.0867, -0.013300000000000001, 0.0639], [-0.0036000000000000003, 0.5291, -0.0018000000000000002, 0.46030000000000004], [-0.002, -0.2111, 0.0112, -0.2467], [-0.0023, 0.5395, 0.0028, 0.3296], [-0.0024000000000000002, -0.3105, 0.0008, 0.0076]], [[0.6826, -0.1981, 0.0056, 0.0032], [0.6995, -0.1761, 0.6197, 0.129], [0.0011, -0.46180000000000004, 0.00030000000000000003, -0.3435], [-0.008700000000000001, 0.41650000000000004, 0.036500000000000005, 0.1955], [-0.010400000000000001, 0.5119, 0.014400000000000001, 0.43810000000000004], [-0.015600000000000001, 0.0596, -0.012, -0.0166], [0.7027, 0.0028, 0.7076, -0.0346], [-0.0022, -0.0044, 0.0029000000000000002, 0.0039000000000000003]], [[0.6163000000000001, -0.3674, 0.0022, 0.0041], [0.5981000000000001, 0.3739, 0.6975, 0.0036000000000000003], [-0.0158, -0.0485, 0.0154, 0.0032], [-0.0392, -0.33530000000000004, 0.4828, 0.0094], [0.6995, -0.001, 0.6976, 0.00030000000000000003], [-0.0579, -0.0194, 0.017400000000000002, 0.0016], [-0.0275, -0.055600000000000004, -0.013800000000000002, 0.0018000000000000002], [0.0076, 0.0012000000000000001, 0.0059, 0.009300000000000001]]], \"bitstrings\": [\"10111111\", \"10100101\"], \"total_optimization_steps\": 70, \"probabilities\": [0.302602650510318, 0.374535193348232], \"optimization_time\": 9.178178548812866}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(7) + -1.5 * Z(5) + -0.5 * Z(6)",11,8,3,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"10100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(-0.0751) q[0];\nrz(-0.285) q[0];\nry(-0.6867) q[1];\nrz(0.1041) q[1];\nry(0) q[2];\nrz(0.0301) q[2];\nry(0.0035) q[3];\nrz(0.0867) q[3];\nry(-0.0036) q[4];\nrz(0.5291) q[4];\nry(-0.002) q[5];\nrz(-0.2111) q[5];\nry(-0.0023) q[6];\nrz(0.5395) q[6];\nry(-0.0024) q[7];\nrz(-0.3105) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.7001) q[1];\nrz(0.0072) q[1];\nry(0.0009) q[2];\nrz(-0.2731) q[2];\ncx q[2], q[1];\nry(-0.0133) q[3];\nrz(0.0639) q[3];\nry(-0.0018) q[4];\nrz(0.4603) q[4];\ncx q[4], q[3];\nry(0.0112) q[5];\nrz(-0.2467) q[5];\nry(0.0028) q[6];\nrz(0.3296) q[6];\ncx q[6], q[5];\nry(0.6826) q[0];\nrz(-0.1981) q[0];\nry(0.6995) q[1];\nrz(-0.1761) q[1];\nry(0.0011) q[2];\nrz(-0.4618) q[2];\nry(-0.0087) q[3];\nrz(0.4165) q[3];\nry(-0.0104) q[4];\nrz(0.5119) q[4];\nry(-0.0156) q[5];\nrz(0.0596) q[5];\nry(0.7027) q[6];\nrz(0.0028) q[6];\nry(-0.0022) q[7];\nrz(-0.0044) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.6197) q[1];\nrz(0.129) q[1];\nry(0.0003) q[2];\nrz(-0.3435) q[2];\ncx q[2], q[1];\nry(0.0365) q[3];\nrz(0.1955) q[3];\nry(0.0144) q[4];\nrz(0.4381) q[4];\ncx q[4], q[3];\nry(-0.012) q[5];\nrz(-0.0166) q[5];\nry(0.7076) q[6];\nrz(-0.0346) q[6];\ncx q[6], q[5];\nry(0.6163) q[0];\nrz(-0.3674) q[0];\nry(0.5981) q[1];\nrz(0.3739) q[1];\nry(-0.0158) q[2];\nrz(-0.0485) q[2];\nry(-0.0392) q[3];\nrz(-0.3353) q[3];\nry(0.6995) q[4];\nrz(-0.001) q[4];\nry(-0.0579) q[5];\nrz(-0.0194) q[5];\nry(-0.0275) q[6];\nrz(-0.0556) q[6];\nry(0.0076) q[7];\nrz(0.0012) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.6975) q[1];\nrz(0.0036) q[1];\nry(0.0154) q[2];\nrz(0.0032) q[2];\ncx q[2], q[1];\nry(0.4828) q[3];\nrz(0.0094) q[3];\nry(0.6976) q[4];\nrz(0.0003) q[4];\ncx q[4], q[3];\nry(0.0174) q[5];\nrz(0.0016) q[5];\nry(-0.0138) q[6];\nrz(0.0018) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x16) q[1];\nrz(x17) q[1];\nry(x18) q[2];\nrz(x19) q[2];\ncx q[2], q[1];\nry(x20) q[3];\nrz(x21) q[3];\nry(x22) q[4];\nrz(x23) q[4];\ncx q[4], q[3];\nry(x24) q[5];\nrz(x25) q[5];\nry(x26) q[6];\nrz(x27) q[6];\ncx q[6], q[5];\nry(x28) q[0];\nrz(x29) q[0];\nry(x30) q[1];\nrz(x31) q[1];\nry(x32) q[2];\nrz(x33) q[2];\nry(x34) q[3];\nrz(x35) q[3];\nry(x36) q[4];\nrz(x37) q[4];\nry(x38) q[5];\nrz(x39) q[5];\nry(x40) q[6];\nrz(x26) q[6];\nry(x41) q[7];\nrz(x42) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x43) q[1];\nrz(x44) q[1];\nry(x45) q[2];\nrz(x46) q[2];\ncx q[2], q[1];\nry(x47) q[3];\nrz(x48) q[3];\nry(x49) q[4];\nrz(x50) q[4];\ncx q[4], q[3];\nry(x51) q[5];\nrz(x52) q[5];\nry(x53) q[6];\nrz(x54) q[6];\ncx q[6], q[5];\nry(x55) q[0];\nrz(x56) q[0];\nry(x57) q[1];\nrz(x58) q[1];\nry(x59) q[2];\nrz(x60) q[2];\nry(x61) q[3];\nrz(x62) q[3];\nry(x30) q[4];\nrz(x63) q[4];\nry(x64) q[5];\nrz(x65) q[5];\nry(x66) q[6];\nrz(x67) q[6];\nry(x68) q[7];\nrz(x69) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x70) q[1];\nrz(x71) q[1];\nry(x72) q[2];\nrz(x73) q[2];\ncx q[2], q[1];\nry(x74) q[3];\nrz(x75) q[3];\nry(x76) q[4];\nrz(x45) q[4];\ncx q[4], q[3];\nry(x77) q[5];\nrz(x78) q[5];\nry(x79) q[6];\nrz(x80) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["90cd45aecbe758daa031a854118281c7","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [58, 122], \"expectation_value\": -1.3928239964208848, \"params\": [0.0007, 0.315, 0.313, 0.166, 0.4046, 0.11080000000000001, 0.40390000000000004, 0.0077, 0.4087, -0.003, 0.4077, 0.0081, 0.0009000000000000001, 0.2852, 0.3932, 0.1812, 0.3952, 0.1198, 0.0036000000000000003, 0.29910000000000003, 0.31070000000000003, 0.1928, 0.39840000000000003, 0.1391, 0.40800000000000003, 0.0081, 0.4053, -0.0038, 0.40690000000000004, 0.008, 0.0026000000000000003, 0.30310000000000004, 0.39530000000000004, 0.1897, 0.3955, 0.1318, 0.0051, 0.19410000000000002, 0.3004, 0.1983, 0.397, 0.1464, 0.4031, 0.006500000000000001, 0.4061, -0.0036000000000000003, 0.4102, 0.007200000000000001, 0.0028, 0.3126, 0.39390000000000003, 0.2021, 0.3894, 0.1399, -0.0007, 0.0046, 0.30920000000000003, 0.001, 0.4021, 0.008, 0.39990000000000003, 0.004200000000000001, 0.40390000000000004, 0.0045000000000000005, 0.4083, 0.009600000000000001, 0.0008, 0.0008, 0.39940000000000003, 0.0007, 0.3927, 0.0015, -0.11120000000000001, -0.2999, 0.195, -0.0698, 0.0044, 0.004200000000000001, 0.0077, -0.2727, 0.2081, -0.11910000000000001, -0.2881, 0.21430000000000002, -0.054400000000000004, -0.0039000000000000003, 0.0036000000000000003, 0.007500000000000001, -0.29600000000000004, 0.2083, -0.1323, -0.1809, 0.2127, -0.010100000000000001, -0.0009000000000000001, 0.0039000000000000003, 0.0061, -0.2982, 0.2167, 0.0043, 0.0067, 0.0083, 0.0085, 0.00030000000000000003, 0.0024000000000000002, 0.0034000000000000002, 0.0019, 0.008], \"bitstrings\": [\"111000101\", \"110000101\"], \"total_optimization_steps\": 40, \"probabilities\": [0.013420298131863302, 0.014150451789263272], \"optimization_time\": 63.79864978790283}","0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(7)) + -0.125 * (Z(3) @ Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(3) @ Z(5) @ Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(8) @ Z(0)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(8) @ Z(2)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(8) @ Z(5)) + -0.0625 * (Z(4) @ Z(0) @ Z(2)) + -0.0625 * (Z(0) @ Z(5) @ Z(2)) + -0.0625 * (Z(8) @ Z(0) @ Z(2)) + -0.0625 * (Z(4) @ Z(0) @ Z(5)) + -0.0625 * (Z(4) @ Z(8) @ Z(0)) + -0.0625 * (Z(8) @ Z(0) @ Z(5)) + -0.0625 * (Z(4) @ Z(5) @ Z(2)) + -0.0625 * (Z(4) @ Z(8) @ Z(2)) + -0.0625 * (Z(8) @ Z(5) @ Z(2)) + -0.0625 * (Z(4) @ Z(8) @ Z(5)) + 0.0625 * (Z(4) @ Z(0) @ Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(8) @ Z(0) @ Z(2)) + 0.0625 * (Z(8) @ Z(0) @ Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(8) @ Z(0) @ Z(5)) + 0.0625 * (Z(4) @ Z(8) @ Z(5) @ Z(2)) + -0.0625 * (Z(4) @ Z(0) @ Z(5) @ Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + -0.5625 * Z(0) + -0.25 * Z(1) + -0.0625 * Z(2) + 0.125 * Z(3) + 0.1875 * Z(4) + 0.3125 * Z(5) + -0.625 * Z(6) + -0.125 * Z(7) + -0.0625 * Z(8)",18,9,4,"{\"smallest_eigenvalues\": [-3.9375, -3.9375], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.9375, \"smallest_bitstrings\": [\"110000110\", \"110000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0007) q[0];\nrz(0.315) q[0];\nrx(0.313) q[1];\nrz(0.166) q[1];\nrx(0.4046) q[2];\nrz(0.1108) q[2];\nrx(0.4039) q[3];\nrz(0.0077) q[3];\nrx(0.4087) q[4];\nrz(-0.003) q[4];\nrx(0.4077) q[5];\nrz(0.0081) q[5];\nrx(0.0009) q[6];\nrz(0.2852) q[6];\nrx(0.3932) q[7];\nrz(0.1812) q[7];\nrx(0.3952) q[8];\nrz(0.1198) q[8];\ncrz(-0.1112) q[8], q[0];\ncrz(0.2081) q[7], q[8];\ncrz(-0.2727) q[6], q[7];\ncrz(0.0077) q[5], q[6];\ncrz(0.0042) q[4], q[5];\ncrz(0.0044) q[3], q[4];\ncrz(-0.0698) q[2], q[3];\ncrz(0.195) q[1], q[2];\ncrz(-0.2999) q[0], q[1];\nrx(0.0036) q[0];\nrz(0.2991) q[0];\nrx(0.3107) q[1];\nrz(0.1928) q[1];\nrx(0.3984) q[2];\nrz(0.1391) q[2];\nrx(0.408) q[3];\nrz(0.0081) q[3];\nrx(0.4053) q[4];\nrz(-0.0038) q[4];\nrx(0.4069) q[5];\nrz(0.008) q[5];\nrx(0.0026) q[6];\nrz(0.3031) q[6];\nrx(0.3953) q[7];\nrz(0.1897) q[7];\nrx(0.3955) q[8];\nrz(0.1318) q[8];\ncrz(-0.1191) q[8], q[0];\ncrz(0.2083) q[7], q[8];\ncrz(-0.296) q[6], q[7];\ncrz(0.0075) q[5], q[6];\ncrz(0.0036) q[4], q[5];\ncrz(-0.0039) q[3], q[4];\ncrz(-0.0544) q[2], q[3];\ncrz(0.2143) q[1], q[2];\ncrz(-0.2881) q[0], q[1];\nrx(0.0051) q[0];\nrz(0.1941) q[0];\nrx(0.3004) q[1];\nrz(0.1983) q[1];\nrx(0.397) q[2];\nrz(0.1464) q[2];\nrx(0.4031) q[3];\nrz(0.0065) q[3];\nrx(0.4061) q[4];\nrz(-0.0036) q[4];\nrx(0.4102) q[5];\nrz(0.0072) q[5];\nrx(0.0028) q[6];\nrz(0.3126) q[6];\nrx(0.3939) q[7];\nrz(0.2021) q[7];\nrx(0.3894) q[8];\nrz(0.1399) q[8];\ncrz(-0.1323) q[8], q[0];\ncrz(0.2167) q[7], q[8];\ncrz(-0.2982) q[6], q[7];\ncrz(0.0061) q[5], q[6];\ncrz(0.0039) q[4], q[5];\ncrz(-0.0009) q[3], q[4];\ncrz(-0.0101) q[2], q[3];\ncrz(0.2127) q[1], q[2];\ncrz(-0.1809) q[0], q[1];\nrx(-0.0007) q[0];\nrz(0.0046) q[0];\nrx(0.3092) q[1];\nrz(0.001) q[1];\nrx(0.4021) q[2];\nrz(0.008) q[2];\nrx(0.3999) q[3];\nrz(0.0042) q[3];\nrx(0.4039) q[4];\nrz(0.0045) q[4];\nrx(0.4083) q[5];\nrz(0.0096) q[5];\nrx(0.0008) q[6];\nrz(0.0008) q[6];\nrx(0.3994) q[7];\nrz(0.0007) q[7];\nrx(0.3927) q[8];\nrz(0.0015) q[8];\ncrz(0.0043) q[8], q[0];\ncrz(0.008) q[7], q[8];\ncrz(0.0019) q[6], q[7];\ncrz(0.0034) q[5], q[6];\ncrz(0.0024) q[4], q[5];\ncrz(0.0003) q[3], q[4];\ncrz(0.0085) q[2], q[3];\ncrz(0.0083) q[1], q[2];\ncrz(0.0067) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x7) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x22) q[3], q[4];\ncrz(x23) q[2], q[3];\ncrz(x24) q[1], q[2];\ncrz(x25) q[0], q[1];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x11) q[3];\nrx(x33) q[4];\nrz(x34) q[4];\nrx(x35) q[5];\nrz(x36) q[5];\nrx(x37) q[6];\nrz(x38) q[6];\nrx(x39) q[7];\nrz(x40) q[7];\nrx(x41) q[8];\nrz(x42) q[8];\ncrz(x43) q[8], q[0];\ncrz(x44) q[7], q[8];\ncrz(x45) q[6], q[7];\ncrz(x46) q[5], q[6];\ncrz(x26) q[4], q[5];\ncrz(x47) q[3], q[4];\ncrz(x48) q[2], q[3];\ncrz(x49) q[1], q[2];\ncrz(x50) q[0], q[1];\nrx(x51) q[0];\nrz(x52) q[0];\nrx(x53) q[1];\nrz(x54) q[1];\nrx(x55) q[2];\nrz(x56) q[2];\nrx(x57) q[3];\nrz(x58) q[3];\nrx(x59) q[4];\nrz(x60) q[4];\nrx(x61) q[5];\nrz(x62) q[5];\nrx(x63) q[6];\nrz(x64) q[6];\nrx(x65) q[7];\nrz(x66) q[7];\nrx(x67) q[8];\nrz(x68) q[8];\ncrz(x69) q[8], q[0];\ncrz(x70) q[7], q[8];\ncrz(x71) q[6], q[7];\ncrz(x72) q[5], q[6];\ncrz(x73) q[4], q[5];\ncrz(x74) q[3], q[4];\ncrz(x75) q[2], q[3];\ncrz(x76) q[1], q[2];\ncrz(x77) q[0], q[1];\nrx(x78) q[0];\nrz(x79) q[0];\nrx(x80) q[1];\nrz(x81) q[1];\nrx(x82) q[2];\nrz(x36) q[2];\nrx(x83) q[3];\nrz(x21) q[3];\nrx(x6) q[4];\nrz(x84) q[4];\nrx(x85) q[5];\nrz(x86) q[5];\nrx(x87) q[6];\nrz(x87) q[6];\nrx(x88) q[7];\nrz(x0) q[7];\nrx(x89) q[8];\nrz(x90) q[8];\ncrz(x91) q[8], q[0];\ncrz(x36) q[7], q[8];\ncrz(x92) q[6], q[7];\ncrz(x93) q[5], q[6];\ncrz(x94) q[4], q[5];\ncrz(x95) q[3], q[4];\ncrz(x96) q[2], q[3];\ncrz(x97) q[1], q[2];\ncrz(x98) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["1a8155b224db54664a68f055f033253f","graph_isomorphism","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 1, \"target\": 3}]}","{\"states\": [55230, 47070], \"expectation_value\": -8.607065046012032, \"params\": [[-0.17880000000000001], [0.1715]], \"bitstrings\": [\"0010100001000001\", \"0100100000100001\"], \"total_optimization_steps\": 20, \"probabilities\": [0.0001368416516879302, 0.00013684165753380978], \"optimization_time\": 16.067975282669067}","0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + 0.25 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(4)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(6)) + 0.25 * (Z(14) @ Z(4)) + 0.25 * (Z(14) @ Z(5)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(14)) + 0.5 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(14)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(15) @ Z(0)) + 0.5 * (Z(15) @ Z(3)) + 0.25 * (Z(15) @ Z(6)) + 0.25 * (Z(15) @ Z(5)) + 0.5 * (Z(15) @ Z(7)) + 0.25 * (Z(15) @ Z(8)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(14)) + 0.5 * (Z(15) @ Z(12)) + 0.5 * (Z(15) @ Z(13)) + 2.75 * Z(0) + 2.0 * Z(2) + 2.0 * Z(1) + 2.0 * Z(3) + 2.25 * Z(6) + 2.75 * Z(4) + 2.5 * Z(5) + 2.25 * Z(7) + 2.0 * Z(10) + 2.25 * Z(8) + 2.0 * Z(9) + 2.5 * Z(11) + 2.5 * Z(14) + 2.0 * Z(12) + 2.25 * Z(13) + 3.0 * Z(15)",1,16,1,"{\"smallest_eigenvalues\": [-18.49999999999997], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -18.49999999999981, \"smallest_bitstrings\": [\"0100100000100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[0], q[2];\nrz(-0.1788) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(-0.1788) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(-0.1788) q[1];\ncx q[2], q[1];\ncx q[0], q[3];\nrz(-0.1788) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1788) q[3];\ncx q[2], q[3];\ncx q[1], q[3];\nrz(-0.1788) q[3];\ncx q[1], q[3];\ncx q[2], q[6];\nrz(-0.1788) q[6];\ncx q[2], q[6];\ncx q[0], q[4];\nrz(-0.1788) q[4];\ncx q[0], q[4];\ncx q[6], q[4];\nrz(-0.1788) q[4];\ncx q[6], q[4];\ncx q[1], q[5];\nrz(-0.1788) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(-0.1788) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(-0.1788) q[5];\ncx q[4], q[5];\ncx q[0], q[7];\nrz(-0.0894) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(-0.1788) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(-0.1788) q[7];\ncx q[6], q[7];\ncx q[4], q[7];\nrz(-0.1788) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.1788) q[7];\ncx q[5], q[7];\ncx q[2], q[10];\nrz(-0.1788) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(-0.1788) q[10];\ncx q[6], q[10];\ncx q[0], q[8];\nrz(-0.1788) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(-0.1788) q[8];\ncx q[4], q[8];\ncx q[10], q[8];\nrz(-0.1788) q[8];\ncx q[10], q[8];\ncx q[1], q[9];\nrz(-0.1788) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(-0.1788) q[9];\ncx q[5], q[9];\ncx q[10], q[9];\nrz(-0.1788) q[9];\ncx q[10], q[9];\ncx q[8], q[9];\nrz(-0.1788) q[9];\ncx q[8], q[9];\ncx q[0], q[11];\nrz(-0.0894) q[11];\ncx q[0], q[11];\ncx q[3], q[11];\nrz(-0.1788) q[11];\ncx q[3], q[11];\ncx q[4], q[11];\nrz(-0.0894) q[11];\ncx q[4], q[11];\ncx q[7], q[11];\nrz(-0.1788) q[11];\ncx q[7], q[11];\ncx q[10], q[11];\nrz(-0.1788) q[11];\ncx q[10], q[11];\ncx q[8], q[11];\nrz(-0.1788) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(-0.1788) q[11];\ncx q[9], q[11];\ncx q[2], q[14];\nrz(-0.1788) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(-0.1788) q[14];\ncx q[6], q[14];\ncx q[4], q[14];\nrz(-0.0894) q[14];\ncx q[4], q[14];\ncx q[5], q[14];\nrz(-0.0894) q[14];\ncx q[5], q[14];\ncx q[10], q[14];\nrz(-0.1788) q[14];\ncx q[10], q[14];\ncx q[0], q[12];\nrz(-0.1788) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(-0.1788) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(-0.1788) q[12];\ncx q[8], q[12];\ncx q[14], q[12];\nrz(-0.1788) q[12];\ncx q[14], q[12];\ncx q[1], q[13];\nrz(-0.1788) q[13];\ncx q[1], q[13];\ncx q[4], q[13];\nrz(-0.0894) q[13];\ncx q[4], q[13];\ncx q[5], q[13];\nrz(-0.1788) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(-0.1788) q[13];\ncx q[9], q[13];\ncx q[14], q[13];\nrz(-0.1788) q[13];\ncx q[14], q[13];\ncx q[12], q[13];\nrz(-0.1788) q[13];\ncx q[12], q[13];\ncx q[0], q[15];\nrz(-0.0894) q[15];\ncx q[0], q[15];\ncx q[3], q[15];\nrz(-0.1788) q[15];\ncx q[3], q[15];\ncx q[6], q[15];\nrz(-0.0894) q[15];\ncx q[6], q[15];\ncx q[5], q[15];\nrz(-0.0894) q[15];\ncx q[5], q[15];\ncx q[7], q[15];\nrz(-0.1788) q[15];\ncx q[7], q[15];\ncx q[8], q[15];\nrz(-0.0894) q[15];\ncx q[8], q[15];\ncx q[11], q[15];\nrz(-0.1788) q[15];\ncx q[11], q[15];\ncx q[14], q[15];\nrz(-0.1788) q[15];\ncx q[14], q[15];\ncx q[12], q[15];\nrz(-0.1788) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(-0.1788) q[15];\ncx q[13], q[15];\nrz(-0.9834) q[0];\nrz(-0.7152) q[2];\nrz(-0.7152) q[1];\nrz(-0.7152) q[3];\nrz(-0.8046) q[6];\nrz(-0.9834) q[4];\nrz(-0.894) q[5];\nrz(-0.8046) q[7];\nrz(-0.7152) q[10];\nrz(-0.8046) q[8];\nrz(-0.7152) q[9];\nrz(-0.894) q[11];\nrz(-0.894) q[14];\nrz(-0.7152) q[12];\nrz(-0.8046) q[13];\nrz(-1.0728) q[15];\nh q[0];\nrz(0.343) q[0];\nh q[0];\nh q[1];\nrz(0.343) q[1];\nh q[1];\nh q[2];\nrz(0.343) q[2];\nh q[2];\nh q[3];\nrz(0.343) q[3];\nh q[3];\nh q[4];\nrz(0.343) q[4];\nh q[4];\nh q[5];\nrz(0.343) q[5];\nh q[5];\nh q[6];\nrz(0.343) q[6];\nh q[6];\nh q[7];\nrz(0.343) q[7];\nh q[7];\nh q[8];\nrz(0.343) q[8];\nh q[8];\nh q[9];\nrz(0.343) q[9];\nh q[9];\nh q[10];\nrz(0.343) q[10];\nh q[10];\nh q[11];\nrz(0.343) q[11];\nh q[11];\nh q[12];\nrz(0.343) q[12];\nh q[12];\nh q[13];\nrz(0.343) q[13];\nh q[13];\nh q[14];\nrz(0.343) q[14];\nh q[14];\nh q[15];\nrz(0.343) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[2], q[10];\nrz(x0) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(x0) q[10];\ncx q[6], q[10];\ncx q[0], q[8];\nrz(x0) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[10], q[8];\nrz(x0) q[8];\ncx q[10], q[8];\ncx q[1], q[9];\nrz(x0) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(x0) q[9];\ncx q[5], q[9];\ncx q[10], q[9];\nrz(x0) q[9];\ncx q[10], q[9];\ncx q[8], q[9];\nrz(x0) q[9];\ncx q[8], q[9];\ncx q[0], q[11];\nrz(x1) q[11];\ncx q[0], q[11];\ncx q[3], q[11];\nrz(x0) q[11];\ncx q[3], q[11];\ncx q[4], q[11];\nrz(x1) q[11];\ncx q[4], q[11];\ncx q[7], q[11];\nrz(x0) q[11];\ncx q[7], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[8], q[11];\nrz(x0) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x0) q[11];\ncx q[9], q[11];\ncx q[2], q[14];\nrz(x0) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(x0) q[14];\ncx q[6], q[14];\ncx q[4], q[14];\nrz(x1) q[14];\ncx q[4], q[14];\ncx q[5], q[14];\nrz(x1) q[14];\ncx q[5], q[14];\ncx q[10], q[14];\nrz(x0) q[14];\ncx q[10], q[14];\ncx q[0], q[12];\nrz(x0) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x0) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(x0) q[12];\ncx q[8], q[12];\ncx q[14], q[12];\nrz(x0) q[12];\ncx q[14], q[12];\ncx q[1], q[13];\nrz(x0) q[13];\ncx q[1], q[13];\ncx q[4], q[13];\nrz(x1) q[13];\ncx q[4], q[13];\ncx q[5], q[13];\nrz(x0) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x0) q[13];\ncx q[9], q[13];\ncx q[14], q[13];\nrz(x0) q[13];\ncx q[14], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[0], q[15];\nrz(x1) q[15];\ncx q[0], q[15];\ncx q[3], q[15];\nrz(x0) q[15];\ncx q[3], q[15];\ncx q[6], q[15];\nrz(x1) q[15];\ncx q[6], q[15];\ncx q[5], q[15];\nrz(x1) q[15];\ncx q[5], q[15];\ncx q[7], q[15];\nrz(x0) q[15];\ncx q[7], q[15];\ncx q[8], q[15];\nrz(x1) q[15];\ncx q[8], q[15];\ncx q[11], q[15];\nrz(x0) q[15];\ncx q[11], q[15];\ncx q[14], q[15];\nrz(x0) q[15];\ncx q[14], q[15];\ncx q[12], q[15];\nrz(x0) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(x0) q[15];\ncx q[13], q[15];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x3) q[1];\nrz(x3) q[3];\nrz(x4) q[6];\nrz(x2) q[4];\nrz(x5) q[5];\nrz(x4) q[7];\nrz(x3) q[10];\nrz(x4) q[8];\nrz(x3) q[9];\nrz(x5) q[11];\nrz(x5) q[14];\nrz(x3) q[12];\nrz(x4) q[13];\nrz(x6) q[15];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nh q[8];\nrz(x7) q[8];\nh q[8];\nh q[9];\nrz(x7) q[9];\nh q[9];\nh q[10];\nrz(x7) q[10];\nh q[10];\nh q[11];\nrz(x7) q[11];\nh q[11];\nh q[12];\nrz(x7) q[12];\nh q[12];\nh q[13];\nrz(x7) q[13];\nh q[13];\nh q[14];\nrz(x7) q[14];\nh q[14];\nh q[15];\nrz(x7) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 2}, {\"id\": 0}, {\"id\": 1}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 3}]}}","{\"circuits\": [], \"gradients\": []}"]
["-308162691934680590","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[4, 6], [3, 6, 7], [3, 4, 7], [0, 3, 5], [0, 2], [0, 4, 5], [1, 2]]}","{\"states\": [199, 61], \"expectation_value\": -1.217077423423206, \"params\": [[-0.46730000000000005], [0.4187]], \"bitstrings\": [\"00111000\", \"11000010\"], \"total_optimization_steps\": 50, \"probabilities\": [0.019940923786775804, 0.020213442125386585], \"optimization_time\": 1.6853220462799072}","0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666663 * Z(6) + 0.33333333333333326 * Z(4) + 0.4999999999999999 * Z(3) + 0.3333333333333333 * Z(7) + 0.33333333333333326 * Z(0) + 0.3333333333333333 * Z(5) + 0.0 * Z(2) + 0.0 * Z(1)",1,8,1,"{\"smallest_eigenvalues\": [-2.5000000000000004], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"11000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[6], q[4];\nrz(-0.4673) q[4];\ncx q[6], q[4];\ncx q[6], q[3];\nrz(-0.1558) q[3];\ncx q[6], q[3];\ncx q[4], q[3];\nrz(-0.1558) q[3];\ncx q[4], q[3];\ncx q[6], q[7];\nrz(-0.1558) q[7];\ncx q[6], q[7];\ncx q[4], q[7];\nrz(-0.1558) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(-0.3115) q[7];\ncx q[3], q[7];\ncx q[4], q[0];\nrz(-0.1558) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(-0.1558) q[0];\ncx q[3], q[0];\ncx q[4], q[5];\nrz(-0.1558) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.1558) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(-0.3115) q[5];\ncx q[0], q[5];\ncx q[0], q[2];\nrz(-0.4673) q[2];\ncx q[0], q[2];\ncx q[2], q[1];\nrz(-0.4673) q[1];\ncx q[2], q[1];\nrz(-0.1558) q[6];\nrz(-0.3115) q[4];\nrz(-0.4673) q[3];\nrz(-0.3115) q[7];\nrz(-0.3115) q[0];\nrz(-0.3115) q[5];\nrz(0) q[2];\nrz(0) q[1];\nh q[0];\nrz(0.8374) q[0];\nh q[0];\nh q[1];\nrz(0.8374) q[1];\nh q[1];\nh q[2];\nrz(0.8374) q[2];\nh q[2];\nh q[3];\nrz(0.8374) q[3];\nh q[3];\nh q[4];\nrz(0.8374) q[4];\nh q[4];\nh q[5];\nrz(0.8374) q[5];\nh q[5];\nh q[6];\nrz(0.8374) q[6];\nh q[6];\nh q[7];\nrz(0.8374) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(x2) q[7];\ncx q[3], q[7];\ncx q[4], q[0];\nrz(x1) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\nrz(x1) q[6];\nrz(x2) q[4];\nrz(x0) q[3];\nrz(x2) q[7];\nrz(x2) q[0];\nrz(x2) q[5];\nrz(x3) q[2];\nrz(x3) q[1];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["0effcbb2abad3a5cea04794e851efa69","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 9}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 8}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [146, 154], \"expectation_value\": -6.643229909348072, \"params\": [[[1.4877, 0.0077], [0.0018000000000000002, 0.0011], [1.7080000000000002, 0.002], [0.0025, 0.0074], [0.0034000000000000002, 0.0025], [1.6999000000000002, 0.0037], [1.6355000000000002, 0.0007], [-0.003, 0.0027], [1.7096, 0.0097], [0.44420000000000004, 0.002]]], \"bitstrings\": [\"1101101101\", \"1101100101\"], \"total_optimization_steps\": 170, \"probabilities\": [0.043998127171536935, 0.05008061877325482], \"optimization_time\": 3.290412187576294}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(9)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -2.5 * Z(4) + -1.5 * Z(6) + -1.0 * Z(2) + -2.0 * Z(7) + -1.0 * Z(9) + -1.0 * Z(8) + -0.5 * Z(5)",1,10,1,"{\"smallest_eigenvalues\": [-8.5, -8.5, -8.5, -8.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -7.5, \"smallest_bitstrings\": [\"1011110100\", \"1011100101\", \"0101101101\", \"1101100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(1.4877) q[0];\nrz(0.0077) q[0];\nrx(0.0018) q[1];\nrz(0.0011) q[1];\nrx(1.708) q[2];\nrz(0.002) q[2];\nrx(0.0025) q[3];\nrz(0.0074) q[3];\nrx(0.0034) q[4];\nrz(0.0025) q[4];\nrx(1.6999) q[5];\nrz(0.0037) q[5];\nrx(1.6355) q[6];\nrz(0.0007) q[6];\nrx(-0.003) q[7];\nrz(0.0027) q[7];\nrx(1.7096) q[8];\nrz(0.0097) q[8];\nrx(0.4442) q[9];\nrz(0.002) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x6) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x5) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["ab957251534d09507f870c3a6ef42154","community_detection","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 2}, {\"weight\": 1, \"source\": 0, \"target\": 5}, {\"weight\": 1, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 1, \"source\": 3, \"target\": 5}, {\"weight\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [2711, 2709], \"expectation_value\": -0.17782023458083673, \"params\": [0.49100000000000005, 0.4899, 0.3239, 0.2988, 0.49260000000000004, 0.49710000000000004, 0.2936, 0.2934, 0.4917, 0.4919, 0.2969, 0.2932, 0.3002, 0.29510000000000003, 0.4884, 0.48910000000000003, 0.36660000000000004, 0.36160000000000003, 0.4474, 0.43610000000000004, 0.3945, 0.38330000000000003, 0.4398, 0.4077, 0.4903, 0.48660000000000003, 0.3, 0.29660000000000003, 0.49510000000000004, 0.4944, 0.2924, 0.2942, 0.4904, 0.49010000000000004, 0.2962, 0.2929, 0.29610000000000003, 0.3014, 0.4887, 0.4938, 0.3457, 0.3503, 0.42310000000000003, 0.4431, 0.367, 0.3899, 0.4058, 0.4213, 0.22130000000000002, -0.22710000000000002, 0.18530000000000002, -0.23820000000000002, -0.20420000000000002, 0.2293, -0.0876, -0.2117, 0.19260000000000002, -0.19870000000000002, 0.10360000000000001, 0.20090000000000002, -0.1879, 0.1965, -0.1187, -0.1947, 0.1802, -0.1966, 0.15130000000000002, 0.19840000000000002, -0.19290000000000002, 0.20770000000000002, -0.189, -0.1998, 0.2318, 0.008400000000000001, 0.231, 0.0077, -0.223, 0.0086, -0.24910000000000002, 0.0098, 0.20950000000000002, 0.0, 0.21150000000000002, 0.0041, -0.21150000000000002, 0.003, -0.2457, 0.0012000000000000001, 0.2156, 0.0041, 0.2151, 0.0034000000000000002, -0.2083, 0.0041, -0.23440000000000003, 0.004], \"bitstrings\": [\"010101101000\", \"010101101010\"], \"total_optimization_steps\": 50, \"probabilities\": [0.004313160943055939, 0.0051309730214765216], \"optimization_time\": 15.314269304275513}","0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6) @ Z(0)) + 0.00034722222222222224 * (Z(6) @ Z(2)) + -0.0010416666666666667 * (Z(6) @ Z(4)) + 0.0006944444444444445 * (Z(7) @ Z(1)) + 0.00034722222222222224 * (Z(7) @ Z(3)) + -0.0010416666666666667 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.00034722222222222224 * (Z(8) @ Z(0)) + 0.00017361111111111112 * (Z(8) @ Z(2)) + 0.0005208333333333333 * (Z(8) @ Z(4)) + 0.00034722222222222224 * (Z(8) @ Z(6)) + 0.00034722222222222224 * (Z(9) @ Z(1)) + 0.00017361111111111112 * (Z(9) @ Z(3)) + 0.0005208333333333333 * (Z(9) @ Z(5)) + 0.00034722222222222224 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + -0.0010416666666666667 * (Z(10) @ Z(0)) + 0.0005208333333333333 * (Z(10) @ Z(2)) + 0.0015625 * (Z(10) @ Z(4)) + -0.0010416666666666667 * (Z(10) @ Z(6)) + -0.0015625 * (Z(10) @ Z(8)) + -0.0010416666666666667 * (Z(11) @ Z(1)) + 0.0005208333333333333 * (Z(11) @ Z(3)) + 0.0015625 * (Z(11) @ Z(5)) + -0.0010416666666666667 * (Z(11) @ Z(7)) + -0.0015625 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + -0.000694444444444442 * Z(1) + -0.000694444444444442 * Z(0) + -0.0001736111111111105 * Z(2) + -0.0001736111111111105 * Z(3) + -0.0015624999999999944 * Z(4) + -0.0015624999999999944 * Z(5) + -0.000694444444444442 * Z(6) + -0.000694444444444442 * Z(7) + -0.0001736111111111105 * Z(8) + -0.0001736111111111105 * Z(9) + -0.0015624999999999944 * Z(10) + -0.0015624999999999944 * Z(11)",13,12,2,"{\"smallest_eigenvalues\": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -1.5104166666666665, \"smallest_bitstrings\": [\"100101011010\", \"101010010101\", \"010101101010\", \"011010100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.491) q[0];\nry(0.3239) q[1];\nry(0.4926) q[2];\nry(0.2936) q[3];\nry(0.4917) q[4];\nry(0.2969) q[5];\nry(0.3002) q[6];\nry(0.4884) q[7];\nry(0.3666) q[8];\nry(0.4474) q[9];\nry(0.3945) q[10];\nry(0.4398) q[11];\ncrz(0.2213) q[11], q[0];\ncrz(-0.189) q[10], q[11];\ncrz(-0.1929) q[9], q[10];\ncrz(0.1513) q[8], q[9];\ncrz(0.1802) q[7], q[8];\ncrz(-0.1187) q[6], q[7];\ncrz(-0.1879) q[5], q[6];\ncrz(0.1036) q[4], q[5];\ncrz(0.1926) q[3], q[4];\ncrz(-0.0876) q[2], q[3];\ncrz(-0.2042) q[1], q[2];\ncrz(0.1853) q[0], q[1];\nry(0.4899) q[0];\nry(0.2988) q[1];\nry(0.4971) q[2];\nry(0.2934) q[3];\nry(0.4919) q[4];\nry(0.2932) q[5];\nry(0.2951) q[6];\nry(0.4891) q[7];\nry(0.3616) q[8];\nry(0.4361) q[9];\nry(0.3833) q[10];\nry(0.4077) q[11];\ncrz(-0.2271) q[11], q[10];\ncrz(-0.2382) q[0], q[11];\ncrz(0.2293) q[0], q[1];\ncrz(-0.2117) q[1], q[2];\ncrz(-0.1987) q[2], q[3];\ncrz(0.2009) q[3], q[4];\ncrz(0.1965) q[4], q[5];\ncrz(-0.1947) q[5], q[6];\ncrz(-0.1966) q[6], q[7];\ncrz(0.1984) q[7], q[8];\ncrz(0.2077) q[8], q[9];\ncrz(-0.1998) q[9], q[10];\nry(0.4903) q[0];\nry(0.3) q[1];\nry(0.4951) q[2];\nry(0.2924) q[3];\nry(0.4904) q[4];\nry(0.2962) q[5];\nry(0.2961) q[6];\nry(0.4887) q[7];\nry(0.3457) q[8];\nry(0.4231) q[9];\nry(0.367) q[10];\nry(0.4058) q[11];\ncrz(0.2318) q[11], q[0];\ncrz(-0.2344) q[10], q[11];\ncrz(-0.2083) q[9], q[10];\ncrz(0.2151) q[8], q[9];\ncrz(0.2156) q[7], q[8];\ncrz(-0.2457) q[6], q[7];\ncrz(-0.2115) q[5], q[6];\ncrz(0.2115) q[4], q[5];\ncrz(0.2095) q[3], q[4];\ncrz(-0.2491) q[2], q[3];\ncrz(-0.223) q[1], q[2];\ncrz(0.231) q[0], q[1];\nry(0.4866) q[0];\nry(0.2966) q[1];\nry(0.4944) q[2];\nry(0.2942) q[3];\nry(0.4901) q[4];\nry(0.2929) q[5];\nry(0.3014) q[6];\nry(0.4938) q[7];\nry(0.3503) q[8];\nry(0.4431) q[9];\nry(0.3899) q[10];\nry(0.4213) q[11];\ncrz(0.0084) q[11], q[10];\ncrz(0.0077) q[0], q[11];\ncrz(0.0086) q[0], q[1];\ncrz(0.0098) q[1], q[2];\ncrz(0) q[2], q[3];\ncrz(0.0041) q[3], q[4];\ncrz(0.003) q[4], q[5];\ncrz(0.0012) q[5], q[6];\ncrz(0.0041) q[6], q[7];\ncrz(0.0034) q[7], q[8];\ncrz(0.0041) q[8], q[9];\ncrz(0.004) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncrz(x12) q[11], q[0];\ncrz(x13) q[10], q[11];\ncrz(x14) q[9], q[10];\ncrz(x15) q[8], q[9];\ncrz(x16) q[7], q[8];\ncrz(x17) q[6], q[7];\ncrz(x18) q[5], q[6];\ncrz(x19) q[4], q[5];\ncrz(x20) q[3], q[4];\ncrz(x21) q[2], q[3];\ncrz(x22) q[1], q[2];\ncrz(x23) q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x32) q[8];\nry(x33) q[9];\nry(x34) q[10];\nry(x35) q[11];\ncrz(x36) q[11], q[10];\ncrz(x37) q[0], q[11];\ncrz(x38) q[0], q[1];\ncrz(x39) q[1], q[2];\ncrz(x40) q[2], q[3];\ncrz(x41) q[3], q[4];\ncrz(x42) q[4], q[5];\ncrz(x43) q[5], q[6];\ncrz(x44) q[6], q[7];\ncrz(x45) q[7], q[8];\ncrz(x46) q[8], q[9];\ncrz(x47) q[9], q[10];\nry(x48) q[0];\nry(x49) q[1];\nry(x50) q[2];\nry(x51) q[3];\nry(x52) q[4];\nry(x53) q[5];\nry(x54) q[6];\nry(x55) q[7];\nry(x56) q[8];\nry(x57) q[9];\nry(x58) q[10];\nry(x59) q[11];\ncrz(x60) q[11], q[0];\ncrz(x61) q[10], q[11];\ncrz(x62) q[9], q[10];\ncrz(x63) q[8], q[9];\ncrz(x64) q[7], q[8];\ncrz(x65) q[6], q[7];\ncrz(x66) q[5], q[6];\ncrz(x67) q[4], q[5];\ncrz(x68) q[3], q[4];\ncrz(x69) q[2], q[3];\ncrz(x70) q[1], q[2];\ncrz(x71) q[0], q[1];\nry(x72) q[0];\nry(x73) q[1];\nry(x74) q[2];\nry(x75) q[3];\nry(x76) q[4];\nry(x77) q[5];\nry(x78) q[6];\nry(x79) q[7];\nry(x80) q[8];\nry(x81) q[9];\nry(x82) q[10];\nry(x83) q[11];\ncrz(x84) q[11], q[10];\ncrz(x85) q[0], q[11];\ncrz(x86) q[0], q[1];\ncrz(x87) q[1], q[2];\ncrz(x88) q[2], q[3];\ncrz(x89) q[3], q[4];\ncrz(x90) q[4], q[5];\ncrz(x91) q[5], q[6];\ncrz(x89) q[6], q[7];\ncrz(x92) q[7], q[8];\ncrz(x89) q[8], q[9];\ncrz(x93) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"communities_size\": 3, \"number_of_communities\": 2}","{\"circuits\": [], \"gradients\": []}"]
["3415806688122177614","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[3, 5, 6], [0, 9, 3], [8, 9, 5], [9, 1], [8, 2], [9, 10, 5], [2, 4, 5], [0, 4], [6, 7], [0, 7], [10, 6], [1, 7], [10, 7], [9, 2], [0, 1, 2], [1, 4, 6], [8, 4, 7], [8, 4, 5], [9, 3, 4], [10, 3, 5], [1, 10], [8, 3, 5]]}","{\"states\": [1016, 1000], \"expectation_value\": -5.360727275561041, \"params\": [-0.0025, 0.9661000000000001, 2.1251, 0.0025, 2.0189, 0.0028, 2.7025, -0.0022, 3.0008000000000004, 0.0034000000000000002, 3.0867, -0.0021000000000000003, 3.0923000000000003, 0.8084, 3.0820000000000003, 1.1386, -0.0019, -0.8873000000000001, -0.0026000000000000003, -1.0605, -0.0024000000000000002, 0.0002, -0.0024000000000000002, 1.0108000000000001, 1.1271, 0.4339, 0.1436, 0.0795, 1.6934, -0.0843, -0.004200000000000001, -0.006200000000000001], \"bitstrings\": [\"10000000111\", \"10000010111\"], \"total_optimization_steps\": 310, \"probabilities\": [0.4552961572566029, 0.5433055590048818], \"optimization_time\": 27.94537854194641}","0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(10) @ Z(5)) + 0.16666666666666666 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(6)) + 0.16666666666666666 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 1.166666666666667 * Z(5) + 0.8333333333333335 * Z(3) + 0.3333333333333335 * Z(6) + 0.33333333333333326 * Z(0) + 0.6666666666666663 * Z(9) + 0.6666666666666667 * Z(8) + 0.3333333333333335 * Z(1) + 0.3333333333333335 * Z(2) + 0.3333333333333337 * Z(10) + 0.8333333333333333 * Z(4) + 0.16666666666666696 * Z(7)",4,11,1,"{\"smallest_eigenvalues\": [-5.666666666666668], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.333333333333334, \"smallest_bitstrings\": [\"10000010111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.0025) q[0];\nrz(0.9661) q[0];\nrx(2.1251) q[1];\nrz(0.0025) q[1];\nrx(2.0189) q[2];\nrz(0.0028) q[2];\nrx(2.7025) q[3];\nrz(-0.0022) q[3];\nrx(3.0008) q[4];\nrz(0.0034) q[4];\nrx(3.0867) q[5];\nrz(-0.0021) q[5];\nrx(3.0923) q[6];\nrz(0.8084) q[6];\nrx(3.082) q[7];\nrz(1.1386) q[7];\nrx(-0.0019) q[8];\nrz(-0.8873) q[8];\nrx(-0.0026) q[9];\nrz(-1.0605) q[9];\nrx(-0.0024) q[10];\nrz(0.0002) q[10];\ncrx(-0.0062) q[10], q[9];\ncrx(-0.0042) q[9], q[8];\ncrx(-0.0843) q[8], q[7];\ncrx(1.6934) q[7], q[6];\ncrx(0.0795) q[6], q[5];\ncrx(0.1436) q[5], q[4];\ncrx(0.4339) q[4], q[3];\ncrx(1.1271) q[3], q[2];\ncrx(1.0108) q[2], q[1];\ncrx(-0.0024) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrx(x22) q[10], q[9];\ncrx(x23) q[9], q[8];\ncrx(x24) q[8], q[7];\ncrx(x25) q[7], q[6];\ncrx(x26) q[6], q[5];\ncrx(x27) q[5], q[4];\ncrx(x28) q[4], q[3];\ncrx(x29) q[3], q[2];\ncrx(x30) q[2], q[1];\ncrx(x20) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["1e92ea5f7cae37ca987f17ac92d103da","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 8, \"target\": 11}, {\"source\": 9, \"target\": 11}, {\"source\": 10, \"target\": 11}]}","{\"states\": [15, 127], \"expectation_value\": -2.7407410119052424, \"params\": [[-0.0766], [0.0702]], \"bitstrings\": [\"11111110000\", \"11110000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.001255672313871284, 0.0013225465458685378], \"optimization_time\": 3.4254939556121826}","-2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * Z(1) + 2.0 * Z(0) + -2.0 * Z(2) + -2.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(10)",1,11,1,"{\"smallest_eigenvalues\": [-36.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -33.0, \"smallest_bitstrings\": [\"11110000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(0.383) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.383) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.383) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.383) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.383) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.383) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(0.2298) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(0.2298) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.2298) q[6];\ncx q[4], q[6];\ncx q[8], q[7];\nrz(0.3064) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(-0.1532) q[9];\ncx q[8], q[9];\ncx q[7], q[9];\nrz(0.3064) q[9];\ncx q[7], q[9];\ncx q[8], q[10];\nrz(0.3064) q[10];\ncx q[8], q[10];\ncx q[7], q[10];\nrz(0.3064) q[10];\ncx q[7], q[10];\ncx q[9], q[10];\nrz(0.3064) q[10];\ncx q[9], q[10];\nrz(0.3064) q[1];\nrz(-0.3064) q[0];\nrz(0.3064) q[2];\nrz(0.3064) q[3];\nrz(-0.0766) q[5];\nrz(-0.0766) q[4];\nrz(-0.0766) q[6];\nrz(-0.0766) q[8];\nrz(-0.0766) q[7];\nrz(-0.0766) q[9];\nrz(-0.0766) q[10];\nh q[0];\nrz(0.1404) q[0];\nh q[0];\nh q[1];\nrz(0.1404) q[1];\nh q[1];\nh q[2];\nrz(0.1404) q[2];\nh q[2];\nh q[3];\nrz(0.1404) q[3];\nh q[3];\nh q[4];\nrz(0.1404) q[4];\nh q[4];\nh q[5];\nrz(0.1404) q[5];\nh q[5];\nh q[6];\nrz(0.1404) q[6];\nh q[6];\nh q[7];\nrz(0.1404) q[7];\nh q[7];\nh q[8];\nrz(0.1404) q[8];\nh q[8];\nh q[9];\nrz(0.1404) q[9];\nh q[9];\nh q[10];\nrz(0.1404) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[8], q[7];\nrz(x2) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(x3) q[9];\ncx q[8], q[9];\ncx q[7], q[9];\nrz(x2) q[9];\ncx q[7], q[9];\ncx q[8], q[10];\nrz(x2) q[10];\ncx q[8], q[10];\ncx q[7], q[10];\nrz(x2) q[10];\ncx q[7], q[10];\ncx q[9], q[10];\nrz(x2) q[10];\ncx q[9], q[10];\nrz(x2) q[1];\nrz(x4) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x5) q[5];\nrz(x5) q[4];\nrz(x5) q[6];\nrz(x5) q[8];\nrz(x5) q[7];\nrz(x5) q[9];\nrz(x5) q[10];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\nh q[9];\nrz(x6) q[9];\nh q[9];\nh q[10];\nrz(x6) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["cacbe081b77503da3f10c68300c494cc","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [28, 220], \"expectation_value\": -5.064056116190093, \"params\": [1.4027, 0.0036000000000000003, 1.4147, 0.0035, 1.3998000000000002, 0.0009000000000000001, 1.4034, -0.0009000000000000001, 1.4088, -0.0035, 1.4152, -0.0051, -0.0007, -0.0066, -0.006, 0.004, 1.3971, 1.3857000000000002, -1.3895, 1.389, 1.3931, -1.3463, -0.0429], \"bitstrings\": [\"11100011\", \"00100011\"], \"total_optimization_steps\": 140, \"probabilities\": [0.13421699419501396, 0.16321197553707031], \"optimization_time\": 3.738029956817627}","0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(6) + -0.5 * Z(0) + -2.0 * Z(7) + 0.0 * Z(1) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5)",4,8,1,"{\"smallest_eigenvalues\": [-7.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"00100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(1.4027) q[0];\nrz(0.0036) q[0];\nrx(1.4147) q[1];\nrz(0.0035) q[1];\nrx(1.3998) q[2];\nrz(0.0009) q[2];\nrx(1.4034) q[3];\nrz(-0.0009) q[3];\nrx(1.4088) q[4];\nrz(-0.0035) q[4];\nrx(1.4152) q[5];\nrz(-0.0051) q[5];\nrx(-0.0007) q[6];\nrz(-0.0066) q[6];\nrx(-0.006) q[7];\nrz(0.004) q[7];\ncrx(-0.0429) q[7], q[6];\ncrx(-1.3463) q[6], q[5];\ncrx(1.3931) q[5], q[4];\ncrx(1.389) q[4], q[3];\ncrx(-1.3895) q[3], q[2];\ncrx(1.3857) q[2], q[1];\ncrx(1.3971) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[6], q[5];\ncrx(x18) q[5], q[4];\ncrx(x19) q[4], q[3];\ncrx(x20) q[3], q[2];\ncrx(x21) q[2], q[1];\ncrx(x22) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["6998245398537875737","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[2, 3, 7], [0, 3, 4, 5], [1, 5, 7], [1, 2, 5, 6], [0, 1, 2, 4, 6, 7], [1, 2, 3, 4, 5]]}","{\"states\": [219, 175], \"expectation_value\": -0.789922625824052, \"params\": [[-0.4096], [0.40800000000000003]], \"bitstrings\": [\"00100100\", \"01010000\"], \"total_optimization_steps\": 50, \"probabilities\": [0.0098365750362365, 0.010156835329450093], \"optimization_time\": 2.4257678985595703}","0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(7)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(7)) + 0.11666666666666667 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.05 * (Z(1) @ Z(3)) + 0.16666666666666669 * (Z(1) @ Z(2)) + 0.19999999999999998 * (Z(1) @ Z(7)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333334 * (Z(1) @ Z(4)) + 0.3 * (Z(1) @ Z(5)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(7)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.11666666666666667 * (Z(6) @ Z(1)) + 0.3916666666666667 * Z(3) + 0.475 * Z(2) + 0.41666666666666663 * Z(7) + 0.20833333333333331 * Z(0) + 0.30833333333333335 * Z(4) + 0.5166666666666666 * Z(5) + 0.475 * Z(1) + 0.20833333333333331 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-1.533333333333333], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.4833333333333332, \"smallest_bitstrings\": [\"01010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[2];\nrz(-0.1775) q[2];\ncx q[3], q[2];\ncx q[3], q[7];\nrz(-0.1365) q[7];\ncx q[3], q[7];\ncx q[2], q[7];\nrz(-0.1638) q[7];\ncx q[2], q[7];\ncx q[3], q[0];\nrz(-0.0683) q[0];\ncx q[3], q[0];\ncx q[2], q[0];\nrz(-0.0273) q[0];\ncx q[2], q[0];\ncx q[7], q[0];\nrz(-0.0273) q[0];\ncx q[7], q[0];\ncx q[3], q[4];\nrz(-0.1092) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(-0.0683) q[4];\ncx q[2], q[4];\ncx q[7], q[4];\nrz(-0.0273) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(-0.0956) q[4];\ncx q[0], q[4];\ncx q[3], q[5];\nrz(-0.1092) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.1092) q[5];\ncx q[2], q[5];\ncx q[7], q[5];\nrz(-0.1365) q[5];\ncx q[7], q[5];\ncx q[0], q[5];\nrz(-0.0683) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.1092) q[5];\ncx q[4], q[5];\ncx q[3], q[1];\nrz(-0.041) q[1];\ncx q[3], q[1];\ncx q[2], q[1];\nrz(-0.1365) q[1];\ncx q[2], q[1];\ncx q[7], q[1];\nrz(-0.1638) q[1];\ncx q[7], q[1];\ncx q[0], q[1];\nrz(-0.0273) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(-0.0683) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.2458) q[1];\ncx q[5], q[1];\ncx q[2], q[6];\nrz(-0.0956) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(-0.0273) q[6];\ncx q[7], q[6];\ncx q[0], q[6];\nrz(-0.0273) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(-0.0273) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0683) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(-0.0956) q[6];\ncx q[1], q[6];\nrz(-0.3209) q[3];\nrz(-0.3891) q[2];\nrz(-0.3413) q[7];\nrz(-0.1707) q[0];\nrz(-0.2526) q[4];\nrz(-0.4233) q[5];\nrz(-0.3891) q[1];\nrz(-0.1707) q[6];\nh q[0];\nrz(0.816) q[0];\nh q[0];\nh q[1];\nrz(0.816) q[1];\nh q[1];\nh q[2];\nrz(0.816) q[2];\nh q[2];\nh q[3];\nrz(0.816) q[3];\nh q[3];\nh q[4];\nrz(0.816) q[4];\nh q[4];\nh q[5];\nrz(0.816) q[5];\nh q[5];\nh q[6];\nrz(0.816) q[6];\nh q[6];\nh q[7];\nrz(0.816) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[2], q[0];\nrz(x4) q[0];\ncx q[2], q[0];\ncx q[7], q[0];\nrz(x4) q[0];\ncx q[7], q[0];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[7], q[4];\nrz(x4) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[3], q[5];\nrz(x5) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x5) q[5];\ncx q[2], q[5];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x5) q[5];\ncx q[4], q[5];\ncx q[3], q[1];\nrz(x7) q[1];\ncx q[3], q[1];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[7], q[1];\nrz(x2) q[1];\ncx q[7], q[1];\ncx q[0], q[1];\nrz(x4) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(x3) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x8) q[1];\ncx q[5], q[1];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(x4) q[6];\ncx q[7], q[6];\ncx q[0], q[6];\nrz(x4) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x4) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(x6) q[6];\ncx q[1], q[6];\nrz(x9) q[3];\nrz(x10) q[2];\nrz(x11) q[7];\nrz(x12) q[0];\nrz(x13) q[4];\nrz(x14) q[5];\nrz(x10) q[1];\nrz(x12) q[6];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["-5195831292867703356","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[3, 4], [2, 4], [1, 5], [2, 3, 5], [5, 6], [0, 3]]}","{\"states\": [70, 57], \"expectation_value\": -0.01596034018113473, \"params\": [[-0.038200000000000005], [0.038200000000000005]], \"bitstrings\": [\"0111001\", \"1000110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008048751349393441, 0.008064392385747054], \"optimization_time\": 1.4532430171966553}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(4) + 0.16666666666666674 * Z(3) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(0)",1,7,1,"{\"smallest_eigenvalues\": [-2.833333333333334], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"1000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[3];\nrz(-0.0382) q[3];\ncx q[4], q[3];\ncx q[4], q[2];\nrz(-0.0382) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(-0.0127) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(-0.0127) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.0127) q[5];\ncx q[2], q[5];\ncx q[5], q[1];\nrz(-0.0382) q[1];\ncx q[5], q[1];\ncx q[5], q[6];\nrz(-0.0382) q[6];\ncx q[5], q[6];\ncx q[3], q[0];\nrz(-0.0382) q[0];\ncx q[3], q[0];\nrz(0) q[4];\nrz(-0.0127) q[3];\nrz(-0.0127) q[2];\nrz(-0.0127) q[5];\nrz(0) q[1];\nrz(0) q[6];\nrz(0) q[0];\nh q[0];\nrz(0.0764) q[0];\nh q[0];\nh q[1];\nrz(0.0764) q[1];\nh q[1];\nh q[2];\nrz(0.0764) q[2];\nh q[2];\nh q[3];\nrz(0.0764) q[3];\nh q[3];\nh q[4];\nrz(0.0764) q[4];\nh q[4];\nh q[5];\nrz(0.0764) q[5];\nh q[5];\nh q[6];\nrz(0.0764) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\nrz(x2) q[4];\nrz(x1) q[3];\nrz(x1) q[2];\nrz(x1) q[5];\nrz(x2) q[1];\nrz(x2) q[6];\nrz(x2) q[0];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["90cd45aecbe758daa031a854118281c7","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [114, 122], \"expectation_value\": -1.4097269820096372, \"params\": [0.0022, -0.5321, 0.5717, 0.4801, 0.8025, 0.27890000000000004, 0.8031, 0.010100000000000001, 0.8068000000000001, 0.0026000000000000003, 0.8036000000000001, 0.0049, 0.0022, 0.6001000000000001, 0.8011, 0.4612, 0.7977000000000001, 0.3111, 0.0022, 0.0041, 0.5651, 0.00030000000000000003, 0.8055, 0.0011, 0.8057000000000001, 0.007, 0.8068000000000001, 0.009600000000000001, 0.8003, 0.008700000000000001, 0.0022, 0.0053, 0.7965, 0.005200000000000001, 0.7939, 0.0019, -0.3115, 0.5307000000000001, 0.5292, -0.0227, -0.0018000000000000002, -0.0021000000000000003, 0.0013000000000000002, -0.5843, 0.5102, 0.0027, 0.0007, 0.0007, 0.0086, 0.0016, 0.0056, 0.0077, 0.0046, 0.0015], \"bitstrings\": [\"110001101\", \"110000101\"], \"total_optimization_steps\": 80, \"probabilities\": [0.013958199928150693, 0.014915667428440627], \"optimization_time\": 28.160351037979126}","0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(7)) + -0.125 * (Z(3) @ Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(3) @ Z(5) @ Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(8) @ Z(0)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(8) @ Z(2)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(8) @ Z(5)) + -0.0625 * (Z(4) @ Z(0) @ Z(2)) + -0.0625 * (Z(0) @ Z(5) @ Z(2)) + -0.0625 * (Z(8) @ Z(0) @ Z(2)) + -0.0625 * (Z(4) @ Z(0) @ Z(5)) + -0.0625 * (Z(4) @ Z(8) @ Z(0)) + -0.0625 * (Z(8) @ Z(0) @ Z(5)) + -0.0625 * (Z(4) @ Z(5) @ Z(2)) + -0.0625 * (Z(4) @ Z(8) @ Z(2)) + -0.0625 * (Z(8) @ Z(5) @ Z(2)) + -0.0625 * (Z(4) @ Z(8) @ Z(5)) + 0.0625 * (Z(4) @ Z(0) @ Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(8) @ Z(0) @ Z(2)) + 0.0625 * (Z(8) @ Z(0) @ Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(8) @ Z(0) @ Z(5)) + 0.0625 * (Z(4) @ Z(8) @ Z(5) @ Z(2)) + -0.0625 * (Z(4) @ Z(0) @ Z(5) @ Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + -0.5625 * Z(0) + -0.25 * Z(1) + -0.0625 * Z(2) + 0.125 * Z(3) + 0.1875 * Z(4) + 0.3125 * Z(5) + -0.625 * Z(6) + -0.125 * Z(7) + -0.0625 * Z(8)",18,9,2,"{\"smallest_eigenvalues\": [-3.9375, -3.9375], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.9375, \"smallest_bitstrings\": [\"110000110\", \"110000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0022) q[0];\nrz(-0.5321) q[0];\nrx(0.5717) q[1];\nrz(0.4801) q[1];\nrx(0.8025) q[2];\nrz(0.2789) q[2];\nrx(0.8031) q[3];\nrz(0.0101) q[3];\nrx(0.8068) q[4];\nrz(0.0026) q[4];\nrx(0.8036) q[5];\nrz(0.0049) q[5];\nrx(0.0022) q[6];\nrz(0.6001) q[6];\nrx(0.8011) q[7];\nrz(0.4612) q[7];\nrx(0.7977) q[8];\nrz(0.3111) q[8];\ncrz(-0.3115) q[8], q[0];\ncrz(0.5102) q[7], q[8];\ncrz(-0.5843) q[6], q[7];\ncrz(0.0013) q[5], q[6];\ncrz(-0.0021) q[4], q[5];\ncrz(-0.0018) q[3], q[4];\ncrz(-0.0227) q[2], q[3];\ncrz(0.5292) q[1], q[2];\ncrz(0.5307) q[0], q[1];\nrx(0.0022) q[0];\nrz(0.0041) q[0];\nrx(0.5651) q[1];\nrz(0.0003) q[1];\nrx(0.8055) q[2];\nrz(0.0011) q[2];\nrx(0.8057) q[3];\nrz(0.007) q[3];\nrx(0.8068) q[4];\nrz(0.0096) q[4];\nrx(0.8003) q[5];\nrz(0.0087) q[5];\nrx(0.0022) q[6];\nrz(0.0053) q[6];\nrx(0.7965) q[7];\nrz(0.0052) q[7];\nrx(0.7939) q[8];\nrz(0.0019) q[8];\ncrz(0.0027) q[8], q[0];\ncrz(0.0015) q[7], q[8];\ncrz(0.0046) q[6], q[7];\ncrz(0.0077) q[5], q[6];\ncrz(0.0056) q[4], q[5];\ncrz(0.0016) q[3], q[4];\ncrz(0.0086) q[2], q[3];\ncrz(0.0007) q[1], q[2];\ncrz(0.0007) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x0) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\ncrz(x17) q[8], q[0];\ncrz(x18) q[7], q[8];\ncrz(x19) q[6], q[7];\ncrz(x20) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x22) q[3], q[4];\ncrz(x23) q[2], q[3];\ncrz(x24) q[1], q[2];\ncrz(x25) q[0], q[1];\nrx(x0) q[0];\nrz(x26) q[0];\nrx(x27) q[1];\nrz(x28) q[1];\nrx(x29) q[2];\nrz(x30) q[2];\nrx(x31) q[3];\nrz(x32) q[3];\nrx(x8) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x0) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\nrx(x39) q[8];\nrz(x40) q[8];\ncrz(x41) q[8], q[0];\ncrz(x42) q[7], q[8];\ncrz(x43) q[6], q[7];\ncrz(x44) q[5], q[6];\ncrz(x45) q[4], q[5];\ncrz(x46) q[3], q[4];\ncrz(x47) q[2], q[3];\ncrz(x48) q[1], q[2];\ncrz(x48) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["c481e42d7da0b37a314b8b7c8726899d","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 3}, {\"weight\": 13, \"source\": 0, \"target\": 4}, {\"weight\": 4, \"source\": 1, \"target\": 4}, {\"weight\": 19, \"source\": 1, \"target\": 7}, {\"weight\": 8, \"source\": 2, \"target\": 5}, {\"weight\": 14, \"source\": 2, \"target\": 7}, {\"weight\": 13, \"source\": 2, \"target\": 8}, {\"weight\": 13, \"source\": 2, \"target\": 4}]}","{\"states\": [95, 91], \"expectation_value\": -58.73721512469042, \"params\": [-0.0019, 0.9827, 1.4979, 0.2546, 0.5998, 0.5477000000000001, 1.4986000000000002, 0.0424, 1.4939, -0.16920000000000002, 0.7445, -0.35150000000000003, 1.488, -0.12810000000000002, 1.488, 0.0114, -0.0019, 0.009000000000000001, 1.4973, 0.0046, 0.6033000000000001, 0.0046, 1.4977, 0.004, 1.4982, 0.006900000000000001, 0.7462000000000001, 0.0033, 1.4908000000000001, 0.0064, 1.4865000000000002, 0.0016, 0.019100000000000002, 0.9109, 0.5113, 0.5457000000000001, -0.0007, -0.3286, -0.33480000000000004, -0.0221, 0.0082, 0.0091, 0.0082, 0.0016, 0.0063, 0.004, 0.0006000000000000001, 0.004200000000000001], \"bitstrings\": [\"10100000\", \"10100100\"], \"total_optimization_steps\": 150, \"probabilities\": [0.29422446945973774, 0.4096031685863688], \"optimization_time\": 24.037293434143066}","5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + -3.5 * Z(0) + 7.0 * Z(2) + 9.5 * Z(3) + 21.5 * Z(4) + 9.0 * Z(5) + 17.0 * Z(6) + 11.5 * Z(7)",18,8,2,"{\"smallest_eigenvalues\": [-68.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -63.5, \"smallest_bitstrings\": [\"10100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-0.0019) q[0];\nrz(0.9827) q[0];\nrx(1.4979) q[1];\nrz(0.2546) q[1];\nrx(0.5998) q[2];\nrz(0.5477) q[2];\nrx(1.4986) q[3];\nrz(0.0424) q[3];\nrx(1.4939) q[4];\nrz(-0.1692) q[4];\nrx(0.7445) q[5];\nrz(-0.3515) q[5];\nrx(1.488) q[6];\nrz(-0.1281) q[6];\nrx(1.488) q[7];\nrz(0.0114) q[7];\ncrz(0.0191) q[7], q[0];\ncrz(-0.0221) q[6], q[7];\ncrz(-0.3348) q[5], q[6];\ncrz(-0.3286) q[4], q[5];\ncrz(-0.0007) q[3], q[4];\ncrz(0.5457) q[2], q[3];\ncrz(0.5113) q[1], q[2];\ncrz(0.9109) q[0], q[1];\nrx(-0.0019) q[0];\nrz(0.009) q[0];\nrx(1.4973) q[1];\nrz(0.0046) q[1];\nrx(0.6033) q[2];\nrz(0.0046) q[2];\nrx(1.4977) q[3];\nrz(0.004) q[3];\nrx(1.4982) q[4];\nrz(0.0069) q[4];\nrx(0.7462) q[5];\nrz(0.0033) q[5];\nrx(1.4908) q[6];\nrz(0.0064) q[6];\nrx(1.4865) q[7];\nrz(0.0016) q[7];\ncrz(0.0082) q[7], q[0];\ncrz(0.0042) q[6], q[7];\ncrz(0.0006) q[5], q[6];\ncrz(0.004) q[4], q[5];\ncrz(0.0063) q[3], q[4];\ncrz(0.0016) q[2], q[3];\ncrz(0.0082) q[1], q[2];\ncrz(0.0091) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x12) q[7];\nrz(x14) q[7];\ncrz(x15) q[7], q[0];\ncrz(x16) q[6], q[7];\ncrz(x17) q[5], q[6];\ncrz(x18) q[4], q[5];\ncrz(x19) q[3], q[4];\ncrz(x20) q[2], q[3];\ncrz(x21) q[1], q[2];\ncrz(x22) q[0], q[1];\nrx(x0) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x25) q[2];\nrx(x27) q[3];\nrz(x28) q[3];\nrx(x29) q[4];\nrz(x30) q[4];\nrx(x31) q[5];\nrz(x32) q[5];\nrx(x33) q[6];\nrz(x34) q[6];\nrx(x35) q[7];\nrz(x36) q[7];\ncrz(x37) q[7], q[0];\ncrz(x38) q[6], q[7];\ncrz(x39) q[5], q[6];\ncrz(x28) q[4], q[5];\ncrz(x40) q[3], q[4];\ncrz(x36) q[2], q[3];\ncrz(x37) q[1], q[2];\ncrz(x41) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7, 8]}\"}","{\"circuits\": [], \"gradients\": []}"]
["-7216443839465865534","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4], \"hyperedges\": [[2, 3, 4], [0, 1, 3], [1, 4]]}","{\"states\": [30, 14], \"expectation_value\": -0.801152681741158, \"params\": [[[1.5577, 0.0046], [2.6701, 0.0012000000000000001], [2.9005, 0.0014], [2.9025000000000003, 0.005200000000000001], [0.6851, 0.0026000000000000003]]], \"bitstrings\": [\"00001\", \"10001\"], \"total_optimization_steps\": 290, \"probabilities\": [0.40211095498384647, 0.41277854504089384], \"optimization_time\": 3.1536309719085693}","0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(4) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(1)",1,5,1,"{\"smallest_eigenvalues\": [-1.1666666666666665, -1.1666666666666665], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -0.8333333333333333, \"smallest_bitstrings\": [\"10001\", \"01100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nrx(1.5577) q[0];\nrz(0.0046) q[0];\nrx(2.6701) q[1];\nrz(0.0012) q[1];\nrx(2.9005) q[2];\nrz(0.0014) q[2];\nrx(2.9025) q[3];\nrz(0.0052) q[3];\nrx(0.6851) q[4];\nrz(0.0026) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["cba3c0f3028bedd24c97c562399fe60f","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [13, 7], \"expectation_value\": -2.594076482325791, \"params\": [[-0.0472], [0.056600000000000004]], \"bitstrings\": [\"1110010\", \"1111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009566880240389007, 0.009925817282944645], \"optimization_time\": 2.4979491233825684}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(4)) + 2.5 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(4)) + 2.25 * (Z(6) @ Z(5)) + -3.25 * Z(1) + -3.5 * Z(0) + -3.25 * Z(2) + -3.25 * Z(3) + -2.75 * Z(4) + -3.25 * Z(5) + -2.75 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-13.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.75, \"smallest_bitstrings\": [\"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.2124) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2124) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2124) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2124) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2124) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2124) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.236) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.236) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.236) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.236) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.236) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.2124) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.236) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.236) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.2124) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.236) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.236) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.236) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.236) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.236) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.2124) q[6];\ncx q[5], q[6];\nrz(0.3068) q[1];\nrz(0.3304) q[0];\nrz(0.3068) q[2];\nrz(0.3068) q[3];\nrz(0.2596) q[4];\nrz(0.3068) q[5];\nrz(0.2596) q[6];\nh q[0];\nrz(0.1132) q[0];\nh q[0];\nh q[1];\nrz(0.1132) q[1];\nh q[1];\nh q[2];\nrz(0.1132) q[2];\nh q[2];\nh q[3];\nrz(0.1132) q[3];\nh q[3];\nh q[4];\nrz(0.1132) q[4];\nh q[4];\nh q[5];\nrz(0.1132) q[5];\nh q[5];\nh q[6];\nrz(0.1132) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x4) q[4];\nrz(x2) q[5];\nrz(x4) q[6];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["eba59f50c284ea491834da7e16fa8fc7","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}]}","{\"states\": [133, 197], \"expectation_value\": -4.219550323308187, \"params\": [0.39780000000000004, 0.0032, 0.3906, 0.0031000000000000003, 0.2582, -0.0177, 0.2516, -0.016, 0.0001, 0.2323, -0.0047, 0.2569, -0.0008, 0.24130000000000001, 0.0008, 0.24230000000000002, 0.010400000000000001, 0.2519, 0.0102, 0.2782, 0.39180000000000004, 0.08220000000000001, 0.3874, 0.049800000000000004, 0.0019, 0.2543, 0.0026000000000000003, 0.259, 0.3854, 0.0453, 0.3905, 0.013300000000000001, 0.39630000000000004, 0.0037, 0.3921, 0.0034000000000000002, 0.2506, -0.011600000000000001, 0.25570000000000004, -0.0106, 0.0015, 0.2492, -0.0023, 0.28390000000000004, 0.0008, 0.2452, -0.0014, 0.24480000000000002, 0.0011, 0.274, 0.0019, 0.28500000000000003, 0.3895, 0.0805, 0.3864, 0.0494, 0.0036000000000000003, 0.25730000000000003, 0.001, 0.25570000000000004, 0.3814, 0.0609, 0.381, 0.0247, 0.3902, 0.0047, 0.3982, 0.0043, 0.2513, -0.010400000000000001, 0.2464, -0.0053, 0.0014, 0.2591, -0.0047, 0.28900000000000003, -0.0005, 0.24380000000000002, -0.0049, 0.2422, -0.0016, 0.2817, 0.0055000000000000005, 0.2873, 0.3934, 0.0805, 0.3924, 0.0419, 0.0057, 0.2594, 0.0029000000000000002, 0.2569, 0.384, 0.0712, 0.3899, 0.0205, 0.38880000000000003, 0.0083, 0.39380000000000004, 0.0041, 0.2582, -0.01, 0.2596, 0.00030000000000000003, -0.0002, 0.2376, -0.0002, 0.0011, 0.0031000000000000003, 0.24330000000000002, -0.0004, 0.0068000000000000005, 0.0033, 0.2861, 0.0344, 0.0076, 0.38530000000000003, 0.11460000000000001, 0.395, 0.0024000000000000002, -0.0006000000000000001, 0.253, 0.0041, 0.0037, 0.38730000000000003, 0.09340000000000001, 0.38170000000000004, 0.0048000000000000004, 0.031400000000000004, -0.0085, -0.23390000000000002, -0.0828, 0.20570000000000002, -0.2446, 0.0834, 0.0081, 0.0381, 0.11910000000000001, -0.24000000000000002, -0.07880000000000001, 0.2652, -0.24500000000000002, 0.1534, 0.004200000000000001, -0.0102, 0.30770000000000003, -0.2461, -0.0781, 0.2679, -0.0729, 0.1816, 0.0004, -0.038700000000000005, 0.0067, -0.2505, 0.0061, 0.2929, 0.0077, 0.1976, 0.0012000000000000001], \"bitstrings\": [\"01111010\", \"00111010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.27832952147495105, 0.7201956008987362], \"optimization_time\": 95.4540867805481}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(7) + -0.5 * Z(4) + 0.0 * Z(5)",7,8,4,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"00110110\", \"11001001\", \"00111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.3978) q[0];\nrz(0.0032) q[0];\nrx(0.2582) q[1];\nrz(-0.0177) q[1];\nrx(0.0001) q[2];\nrz(0.2323) q[2];\nrx(-0.0008) q[3];\nrz(0.2413) q[3];\nrx(0.0104) q[4];\nrz(0.2519) q[4];\nrx(0.3918) q[5];\nrz(0.0822) q[5];\nrx(0.0019) q[6];\nrz(0.2543) q[6];\nrx(0.3854) q[7];\nrz(0.0453) q[7];\ncrz(0.0314) q[1], q[0];\ncrz(-0.2339) q[3], q[2];\ncrz(0.2057) q[5], q[4];\ncrz(0.0834) q[7], q[6];\nrx(0.3906) q[0];\nrz(0.0031) q[0];\nrx(0.2516) q[1];\nrz(-0.016) q[1];\nrx(-0.0047) q[2];\nrz(0.2569) q[2];\nrx(0.0008) q[3];\nrz(0.2423) q[3];\nrx(0.0102) q[4];\nrz(0.2782) q[4];\nrx(0.3874) q[5];\nrz(0.0498) q[5];\nrx(0.0026) q[6];\nrz(0.259) q[6];\nrx(0.3905) q[7];\nrz(0.0133) q[7];\ncrz(-0.0085) q[2], q[1];\ncrz(-0.0828) q[4], q[3];\ncrz(-0.2446) q[6], q[5];\nrx(0.3963) q[0];\nrz(0.0037) q[0];\nrx(0.2506) q[1];\nrz(-0.0116) q[1];\nrx(0.0015) q[2];\nrz(0.2492) q[2];\nrx(0.0008) q[3];\nrz(0.2452) q[3];\nrx(0.0011) q[4];\nrz(0.274) q[4];\nrx(0.3895) q[5];\nrz(0.0805) q[5];\nrx(0.0036) q[6];\nrz(0.2573) q[6];\nrx(0.3814) q[7];\nrz(0.0609) q[7];\ncrz(0.0381) q[1], q[0];\ncrz(-0.24) q[3], q[2];\ncrz(0.2652) q[5], q[4];\ncrz(0.1534) q[7], q[6];\nrx(0.3921) q[0];\nrz(0.0034) q[0];\nrx(0.2557) q[1];\nrz(-0.0106) q[1];\nrx(-0.0023) q[2];\nrz(0.2839) q[2];\nrx(-0.0014) q[3];\nrz(0.2448) q[3];\nrx(0.0019) q[4];\nrz(0.285) q[4];\nrx(0.3864) q[5];\nrz(0.0494) q[5];\nrx(0.001) q[6];\nrz(0.2557) q[6];\nrx(0.381) q[7];\nrz(0.0247) q[7];\ncrz(0.1191) q[2], q[1];\ncrz(-0.0788) q[4], q[3];\ncrz(-0.245) q[6], q[5];\nrx(0.3902) q[0];\nrz(0.0047) q[0];\nrx(0.2513) q[1];\nrz(-0.0104) q[1];\nrx(0.0014) q[2];\nrz(0.2591) q[2];\nrx(-0.0005) q[3];\nrz(0.2438) q[3];\nrx(-0.0016) q[4];\nrz(0.2817) q[4];\nrx(0.3934) q[5];\nrz(0.0805) q[5];\nrx(0.0057) q[6];\nrz(0.2594) q[6];\nrx(0.384) q[7];\nrz(0.0712) q[7];\ncrz(-0.0102) q[1], q[0];\ncrz(-0.2461) q[3], q[2];\ncrz(0.2679) q[5], q[4];\ncrz(0.1816) q[7], q[6];\nrx(0.3982) q[0];\nrz(0.0043) q[0];\nrx(0.2464) q[1];\nrz(-0.0053) q[1];\nrx(-0.0047) q[2];\nrz(0.289) q[2];\nrx(-0.0049) q[3];\nrz(0.2422) q[3];\nrx(0.0055) q[4];\nrz(0.2873) q[4];\nrx(0.3924) q[5];\nrz(0.0419) q[5];\nrx(0.0029) q[6];\nrz(0.2569) q[6];\nrx(0.3899) q[7];\nrz(0.0205) q[7];\ncrz(0.3077) q[2], q[1];\ncrz(-0.0781) q[4], q[3];\ncrz(-0.0729) q[6], q[5];\nrx(0.3888) q[0];\nrz(0.0083) q[0];\nrx(0.2582) q[1];\nrz(-0.01) q[1];\nrx(-0.0002) q[2];\nrz(0.2376) q[2];\nrx(0.0031) q[3];\nrz(0.2433) q[3];\nrx(0.0033) q[4];\nrz(0.2861) q[4];\nrx(0.3853) q[5];\nrz(0.1146) q[5];\nrx(-0.0006) q[6];\nrz(0.253) q[6];\nrx(0.3873) q[7];\nrz(0.0934) q[7];\ncrz(-0.0387) q[1], q[0];\ncrz(-0.2505) q[3], q[2];\ncrz(0.2929) q[5], q[4];\ncrz(0.1976) q[7], q[6];\nrx(0.3938) q[0];\nrz(0.0041) q[0];\nrx(0.2596) q[1];\nrz(0.0003) q[1];\nrx(-0.0002) q[2];\nrz(0.0011) q[2];\nrx(-0.0004) q[3];\nrz(0.0068) q[3];\nrx(0.0344) q[4];\nrz(0.0076) q[4];\nrx(0.395) q[5];\nrz(0.0024) q[5];\nrx(0.0041) q[6];\nrz(0.0037) q[6];\nrx(0.3817) q[7];\nrz(0.0048) q[7];\ncrz(0.0067) q[2], q[1];\ncrz(0.0061) q[4], q[3];\ncrz(0.0077) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[1], q[0];\ncrz(x17) q[3], q[2];\ncrz(x18) q[5], q[4];\ncrz(x19) q[7], q[6];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\nrx(x34) q[7];\nrz(x35) q[7];\ncrz(x36) q[2], q[1];\ncrz(x37) q[4], q[3];\ncrz(x38) q[6], q[5];\nrx(x39) q[0];\nrz(x40) q[0];\nrx(x41) q[1];\nrz(x42) q[1];\nrx(x43) q[2];\nrz(x44) q[2];\nrx(x26) q[3];\nrz(x45) q[3];\nrx(x46) q[4];\nrz(x47) q[4];\nrx(x48) q[5];\nrz(x49) q[5];\nrx(x50) q[6];\nrz(x51) q[6];\nrx(x52) q[7];\nrz(x53) q[7];\ncrz(x54) q[1], q[0];\ncrz(x55) q[3], q[2];\ncrz(x56) q[5], q[4];\ncrz(x57) q[7], q[6];\nrx(x58) q[0];\nrz(x59) q[0];\nrx(x60) q[1];\nrz(x61) q[1];\nrx(x62) q[2];\nrz(x63) q[2];\nrx(x64) q[3];\nrz(x65) q[3];\nrx(x12) q[4];\nrz(x66) q[4];\nrx(x67) q[5];\nrz(x68) q[5];\nrx(x69) q[6];\nrz(x60) q[6];\nrx(x70) q[7];\nrz(x71) q[7];\ncrz(x72) q[2], q[1];\ncrz(x73) q[4], q[3];\ncrz(x74) q[6], q[5];\nrx(x75) q[0];\nrz(x76) q[0];\nrx(x77) q[1];\nrz(x78) q[1];\nrx(x79) q[2];\nrz(x80) q[2];\nrx(x81) q[3];\nrz(x82) q[3];\nrx(x83) q[4];\nrz(x84) q[4];\nrx(x85) q[5];\nrz(x49) q[5];\nrx(x86) q[6];\nrz(x87) q[6];\nrx(x88) q[7];\nrz(x89) q[7];\ncrz(x90) q[1], q[0];\ncrz(x91) q[3], q[2];\ncrz(x92) q[5], q[4];\ncrz(x93) q[7], q[6];\nrx(x94) q[0];\nrz(x95) q[0];\nrx(x96) q[1];\nrz(x97) q[1];\nrx(x24) q[2];\nrz(x98) q[2];\nrx(x99) q[3];\nrz(x100) q[3];\nrx(x101) q[4];\nrz(x102) q[4];\nrx(x103) q[5];\nrz(x104) q[5];\nrx(x105) q[6];\nrz(x25) q[6];\nrx(x106) q[7];\nrz(x107) q[7];\ncrz(x108) q[2], q[1];\ncrz(x109) q[4], q[3];\ncrz(x110) q[6], q[5];\nrx(x111) q[0];\nrz(x112) q[0];\nrx(x2) q[1];\nrz(x113) q[1];\nrx(x114) q[2];\nrz(x115) q[2];\nrx(x21) q[3];\nrz(x116) q[3];\nrx(x117) q[4];\nrz(x118) q[4];\nrx(x119) q[5];\nrz(x120) q[5];\nrx(x121) q[6];\nrz(x122) q[6];\nrx(x123) q[7];\nrz(x124) q[7];\ncrz(x125) q[1], q[0];\ncrz(x126) q[3], q[2];\ncrz(x127) q[5], q[4];\ncrz(x128) q[7], q[6];\nrx(x129) q[0];\nrz(x130) q[0];\nrx(x131) q[1];\nrz(x132) q[1];\nrx(x114) q[2];\nrz(x46) q[2];\nrx(x133) q[3];\nrz(x134) q[3];\nrx(x135) q[4];\nrz(x136) q[4];\nrx(x137) q[5];\nrz(x138) q[5];\nrx(x130) q[6];\nrz(x40) q[6];\nrx(x139) q[7];\nrz(x140) q[7];\ncrz(x141) q[2], q[1];\ncrz(x142) q[4], q[3];\ncrz(x143) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["e4f5057259aaeddd1dd7f4f1ea49da8b","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 6, \"target\": 4}]}","{\"states\": [65, 1], \"expectation_value\": -1.7668843163247625, \"params\": [[-0.054700000000000006, -0.008700000000000001], [0.06720000000000001, 0.032]], \"bitstrings\": [\"10111110\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006797623887878825, 0.006998452372276537], \"optimization_time\": 6.603225231170654}","-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25 * Z(6) + 0.75 * Z(1) + -0.5 * Z(2) + 3.5 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-19.5, -19.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -17.5, \"smallest_bitstrings\": [\"11111110\", \"10111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(0.1368) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.1641) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(0.1368) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.0274) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0547) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.1094) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(0.0821) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(0.1641) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.1094) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(0.0821) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(-0.465) q[7];\ncx q[0], q[7];\nrz(-0.1641) q[3];\nrz(0.0274) q[0];\nrz(0.3556) q[4];\nrz(0.1641) q[5];\nrz(0.0274) q[6];\nrz(-0.0821) q[1];\nrz(0.0547) q[2];\nrz(-0.3829) q[7];\nh q[0];\nrz(0.1344) q[0];\nh q[0];\nh q[1];\nrz(0.1344) q[1];\nh q[1];\nh q[2];\nrz(0.1344) q[2];\nh q[2];\nh q[3];\nrz(0.1344) q[3];\nh q[3];\nh q[4];\nrz(0.1344) q[4];\nh q[4];\nh q[5];\nrz(0.1344) q[5];\nh q[5];\nh q[6];\nrz(0.1344) q[6];\nh q[6];\nh q[7];\nrz(0.1344) q[7];\nh q[7];\ncx q[3], q[0];\nrz(0.0218) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.0261) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(0.0218) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.0044) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0087) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0174) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(0.0131) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(0.0261) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0174) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(0.0131) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(-0.074) q[7];\ncx q[0], q[7];\nrz(-0.0261) q[3];\nrz(0.0044) q[0];\nrz(0.0566) q[4];\nrz(0.0261) q[5];\nrz(0.0044) q[6];\nrz(-0.0131) q[1];\nrz(0.0087) q[2];\nrz(-0.0609) q[7];\nh q[0];\nrz(0.064) q[0];\nh q[0];\nh q[1];\nrz(0.064) q[1];\nh q[1];\nh q[2];\nrz(0.064) q[2];\nh q[2];\nh q[3];\nrz(0.064) q[3];\nh q[3];\nh q[4];\nrz(0.064) q[4];\nh q[4];\nh q[5];\nrz(0.064) q[5];\nh q[5];\nh q[6];\nrz(0.064) q[6];\nh q[6];\nh q[7];\nrz(0.064) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x4) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(x5) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x4) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(x5) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(x6) q[7];\ncx q[0], q[7];\nrz(x7) q[3];\nrz(x2) q[0];\nrz(x8) q[4];\nrz(x1) q[5];\nrz(x2) q[6];\nrz(x9) q[1];\nrz(x3) q[2];\nrz(x10) q[7];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x12) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x13) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x12) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x14) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x15) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x16) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(x17) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x13) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x16) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(x17) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(x18) q[7];\ncx q[0], q[7];\nrz(x19) q[3];\nrz(x14) q[0];\nrz(x20) q[4];\nrz(x13) q[5];\nrz(x14) q[6];\nrz(x21) q[1];\nrz(x15) q[2];\nrz(x22) q[7];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["d65950f441381bc87796af7b1ba14020","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}, {\"id\": 13}, {\"id\": 14}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 9, \"target\": 11}, {\"source\": 10, \"target\": 11}, {\"source\": 12, \"target\": 13}, {\"source\": 13, \"target\": 14}]}","{\"states\": [16263, 16319], \"expectation_value\": -14.408799376513452, \"params\": [-0.0039000000000000003, 0.0016, 2.7928, -0.0034000000000000002, 0.0021000000000000003, 0.4015, -1.5444, -0.0019, -1.4764000000000002, -0.0033, 0.060500000000000005, 0.0026000000000000003, 2.8321, -0.0, -0.0023, 0.30770000000000003, 0.7182000000000001, -0.004, 0.0022, -0.09910000000000001, -0.8679, 0.006, 0.0025, 0.49520000000000003, 0.7822, 0.0013000000000000002, -2.535, 0.009000000000000001, -3.1319000000000004, 0.34990000000000004, 3.1436, -1.5931000000000002, -1.4765000000000001, 3.0769, 0.6213000000000001, -0.0021000000000000003, 1.5283, 3.1424000000000003, -0.8689, 3.1441000000000003, 2.3599], \"bitstrings\": [\"00000001111000\", \"00000001000000\"], \"total_optimization_steps\": 450, \"probabilities\": [0.3223928985810195, 0.4172651776496983], \"optimization_time\": 17.48416805267334}","-1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(8) @ Z(10)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(13) @ Z(12)) + 0.5 * (Z(13) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(10) + 0.5 * Z(8) + 0.5 * Z(9) + 0.5 * Z(12) + 0.5 * Z(11) + 0.5 * Z(13) + -0.5 * Z(7)",4,14,1,"{\"smallest_eigenvalues\": [-16.499999999999904], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.499999999999917, \"smallest_bitstrings\": [\"00000001000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nrx(-0.0039) q[0];\nrz(0.0016) q[0];\nrx(2.7928) q[1];\nrz(-0.0034) q[1];\nrx(0.0021) q[2];\nrz(0.4015) q[2];\nrx(-1.5444) q[3];\nrz(-0.0019) q[3];\nrx(-1.4764) q[4];\nrz(-0.0033) q[4];\nrx(0.0605) q[5];\nrz(0.0026) q[5];\nrx(2.8321) q[6];\nrz(0) q[6];\nrx(-0.0023) q[7];\nrz(0.3077) q[7];\nrx(0.7182) q[8];\nrz(-0.004) q[8];\nrx(0.0022) q[9];\nrz(-0.0991) q[9];\nrx(-0.8679) q[10];\nrz(0.006) q[10];\nrx(0.0025) q[11];\nrz(0.4952) q[11];\nrx(0.7822) q[12];\nrz(0.0013) q[12];\nrx(-2.535) q[13];\nrz(0.009) q[13];\ncrx(2.3599) q[13], q[12];\ncrx(3.1441) q[12], q[11];\ncrx(-0.8689) q[11], q[10];\ncrx(3.1424) q[10], q[9];\ncrx(1.5283) q[9], q[8];\ncrx(-0.0021) q[8], q[7];\ncrx(0.6213) q[7], q[6];\ncrx(3.0769) q[6], q[5];\ncrx(-1.4765) q[5], q[4];\ncrx(-1.5931) q[4], q[3];\ncrx(3.1436) q[3], q[2];\ncrx(0.3499) q[2], q[1];\ncrx(-3.1319) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[14] c;\nqubit[14] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\nrx(x24) q[12];\nrz(x25) q[12];\nrx(x26) q[13];\nrz(x27) q[13];\ncrx(x28) q[13], q[12];\ncrx(x29) q[12], q[11];\ncrx(x30) q[11], q[10];\ncrx(x31) q[10], q[9];\ncrx(x32) q[9], q[8];\ncrx(x33) q[8], q[7];\ncrx(x34) q[7], q[6];\ncrx(x35) q[6], q[5];\ncrx(x36) q[5], q[4];\ncrx(x37) q[4], q[3];\ncrx(x38) q[3], q[2];\ncrx(x39) q[2], q[1];\ncrx(x40) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","{\"node\": 7}","{\"circuits\": [], \"gradients\": []}"]
["40ef9703de0f0e767127b58189c71b80","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [1649, 1653], \"expectation_value\": -3.837490518328355, \"params\": [[[1.5858, 0.0034000000000000002], [1.3352000000000002, -0.0009000000000000001], [-0.0035, -0.7754000000000001], [-0.0035, -0.8147000000000001], [1.5876000000000001, 0.0022], [1.5834000000000001, 0.0032], [1.5863, -0.0034000000000000002], [0.2863, 0.6552], [0.8196, 0.0145], [0.0029000000000000002, 1.0563], [1.5863, -0.0034000000000000002]], [[1.5821, 0.003], [1.3335000000000001, 0.0027], [-0.0018000000000000002, 0.0033], [-0.0039000000000000003, 0.0023], [1.5810000000000002, 0.0073], [1.5831000000000002, 0.0023], [1.5867, 0.004], [0.28250000000000003, 0.0071], [0.8135, 0.0057], [0.0029000000000000002, 0.009600000000000001], [1.5812000000000002, 0.0028]]], \"bitstrings\": [\"00110001110\", \"00110001010\"], \"total_optimization_steps\": 160, \"probabilities\": [0.4114936063492542, 0.4660781261392913], \"optimization_time\": 9.477391958236694}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(0) @ Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(8)) + 0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(5) @ Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(10) @ Z(1)) + 0.125 * (Z(6) @ Z(7)) + 0.125 * (Z(6) @ Z(10)) + 0.125 * (Z(10) @ Z(7)) + -0.125 * (Z(6) @ Z(7) @ Z(1)) + -0.125 * (Z(6) @ Z(10) @ Z(1)) + -0.125 * (Z(10) @ Z(7) @ Z(1)) + -0.125 * (Z(10) @ Z(6) @ Z(7)) + 0.125 * (Z(10) @ Z(6) @ Z(7) @ Z(1)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(2) @ Z(10)) + 0.25 * (Z(8) @ Z(10)) + -0.25 * (Z(2) @ Z(8) @ Z(10)) + 0.125 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + -0.125 * Z(3) + -0.5 * Z(4) + 0.125 * Z(5) + 0.25 * Z(6) + 0.125 * Z(7) + 0.0 * Z(8) + -1.0 * Z(9) + 0.125 * Z(10)",1,11,2,"{\"smallest_eigenvalues\": [-4.5, -4.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"00110001010\", \"01010000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(1.5858) q[0];\nrz(0.0034) q[0];\nrx(1.3352) q[1];\nrz(-0.0009) q[1];\nrx(-0.0035) q[2];\nrz(-0.7754) q[2];\nrx(-0.0035) q[3];\nrz(-0.8147) q[3];\nrx(1.5876) q[4];\nrz(0.0022) q[4];\nrx(1.5834) q[5];\nrz(0.0032) q[5];\nrx(1.5863) q[6];\nrz(-0.0034) q[6];\nrx(0.2863) q[7];\nrz(0.6552) q[7];\nrx(0.8196) q[8];\nrz(0.0145) q[8];\nrx(0.0029) q[9];\nrz(1.0563) q[9];\nrx(1.5863) q[10];\nrz(-0.0034) q[10];\nrx(1.5821) q[0];\nrz(0.003) q[0];\nrx(1.3335) q[1];\nrz(0.0027) q[1];\nrx(-0.0018) q[2];\nrz(0.0033) q[2];\nrx(-0.0039) q[3];\nrz(0.0023) q[3];\nrx(1.581) q[4];\nrz(0.0073) q[4];\nrx(1.5831) q[5];\nrz(0.0023) q[5];\nrx(1.5867) q[6];\nrz(0.004) q[6];\nrx(0.2825) q[7];\nrz(0.0071) q[7];\nrx(0.8135) q[8];\nrz(0.0057) q[8];\nrx(0.0029) q[9];\nrz(0.0096) q[9];\nrx(1.5812) q[10];\nrz(0.0028) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x4) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nrx(x11) q[10];\nrz(x12) q[10];\nrx(x19) q[0];\nrz(x20) q[0];\nrx(x21) q[1];\nrz(x22) q[1];\nrx(x23) q[2];\nrz(x24) q[2];\nrx(x25) q[3];\nrz(x26) q[3];\nrx(x27) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x26) q[5];\nrx(x30) q[6];\nrz(x31) q[6];\nrx(x32) q[7];\nrz(x33) q[7];\nrx(x34) q[8];\nrz(x35) q[8];\nrx(x17) q[9];\nrz(x36) q[9];\nrx(x37) q[10];\nrz(x38) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["833c89e8aca800e5707fb47ea63f9088","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [0, 4], \"expectation_value\": -2.5198413533660764, \"params\": [0.0028, 0.5541, 0.0022, 0.4267, 0.8042, -0.0004, 0.0028, -0.5593, 0.0028, 0.5327000000000001, 0.0028, 0.0013000000000000002, 0.0022, 0.0036000000000000003, 0.8063, 0.0044, 0.0028, 0.001, 0.0028, 0.0016, -0.5137, -0.5407000000000001, -0.40040000000000003, 0.0056, 0.5555, 0.0011, 0.0066, 0.0014, 0.002, 0.0037], \"bitstrings\": [\"11111\", \"11011\"], \"total_optimization_steps\": 80, \"probabilities\": [0.4801230408606931, 0.5198528693183442], \"optimization_time\": 11.45177698135376}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4)",18,5,2,"{\"smallest_eigenvalues\": [-3.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"11011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nrx(0.0028) q[0];\nrz(0.5541) q[0];\nrx(0.0022) q[1];\nrz(0.4267) q[1];\nrx(0.8042) q[2];\nrz(-0.0004) q[2];\nrx(0.0028) q[3];\nrz(-0.5593) q[3];\nrx(0.0028) q[4];\nrz(0.5327) q[4];\ncrz(-0.5137) q[4], q[0];\ncrz(0.5555) q[3], q[4];\ncrz(0.0056) q[2], q[3];\ncrz(-0.4004) q[1], q[2];\ncrz(-0.5407) q[0], q[1];\nrx(0.0028) q[0];\nrz(0.0013) q[0];\nrx(0.0022) q[1];\nrz(0.0036) q[1];\nrx(0.8063) q[2];\nrz(0.0044) q[2];\nrx(0.0028) q[3];\nrz(0.001) q[3];\nrx(0.0028) q[4];\nrz(0.0016) q[4];\ncrz(0.0011) q[4], q[0];\ncrz(0.0037) q[3], q[4];\ncrz(0.002) q[2], q[3];\ncrz(0.0014) q[1], q[2];\ncrz(0.0066) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x0) q[3];\nrz(x6) q[3];\nrx(x0) q[4];\nrz(x7) q[4];\ncrz(x8) q[4], q[0];\ncrz(x9) q[3], q[4];\ncrz(x10) q[2], q[3];\ncrz(x11) q[1], q[2];\ncrz(x12) q[0], q[1];\nrx(x0) q[0];\nrz(x13) q[0];\nrx(x2) q[1];\nrz(x14) q[1];\nrx(x15) q[2];\nrz(x16) q[2];\nrx(x0) q[3];\nrz(x17) q[3];\nrx(x0) q[4];\nrz(x18) q[4];\ncrz(x19) q[4], q[0];\ncrz(x20) q[3], q[4];\ncrz(x21) q[2], q[3];\ncrz(x22) q[1], q[2];\ncrz(x23) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["d32bae70887cbda0fd64e6ae105154d4","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 6}, {\"weight\": 18, \"source\": 1, \"target\": 3}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 16, \"source\": 3, \"target\": 5}, {\"weight\": 15, \"source\": 3, \"target\": 4}, {\"weight\": 20, \"source\": 3, \"target\": 7}, {\"weight\": 2, \"source\": 4, \"target\": 5}, {\"weight\": 9, \"source\": 6, \"target\": 7}]}","{\"states\": [252, 220], \"expectation_value\": -82.78256825901275, \"params\": [0.3821, 0.8496, 1.5897000000000001, 0.0064, 1.5810000000000002, 0.1449, 0.7814, 0.35710000000000003, 1.5786, 0.0037, 1.5856000000000001, -0.0011, 1.5838, 0.27740000000000004, 0.1429, 0.6975, 0.5484, -0.5028, 0.3902, 0.0027, 1.5785, 0.0086, 1.5817, 0.009600000000000001, 0.7836000000000001, 0.0021000000000000003, 1.5790000000000002, 0.0022, 1.5826, 0.0045000000000000005, 1.5863, 0.0068000000000000005, 0.13620000000000002, 0.0006000000000000001, 0.5497000000000001, 0.0088, 0.7243, 0.7963, 0.0057, 0.3146, -0.0022, -0.0016, -0.0002, 0.5638000000000001, -0.6755, 0.0047, 0.0046, 0.0091, 0.0014, 0.0023, 0.0088, 0.009000000000000001, 0.006500000000000001, 0.0032], \"bitstrings\": [\"100000011\", \"100100011\"], \"total_optimization_steps\": 160, \"probabilities\": [0.31127084471369426, 0.36379373943415283], \"optimization_time\": 23.816603660583496}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 6.5 * Z(1) + 3.5 * Z(0) + 22.5 * Z(2) + 13.0 * Z(3) + 21.0 * Z(4) + 23.5 * Z(6) + 21.5 * Z(5) + 1.0 * Z(7) + 4.5 * Z(8)",18,9,2,"{\"smallest_eigenvalues\": [-91.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -82.0, \"smallest_bitstrings\": [\"100100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.3821) q[0];\nrz(0.8496) q[0];\nrx(1.5897) q[1];\nrz(0.0064) q[1];\nrx(1.581) q[2];\nrz(0.1449) q[2];\nrx(0.7814) q[3];\nrz(0.3571) q[3];\nrx(1.5786) q[4];\nrz(0.0037) q[4];\nrx(1.5856) q[5];\nrz(-0.0011) q[5];\nrx(1.5838) q[6];\nrz(0.2774) q[6];\nrx(0.1429) q[7];\nrz(0.6975) q[7];\nrx(0.5484) q[8];\nrz(-0.5028) q[8];\ncrz(0.7243) q[8], q[0];\ncrz(-0.6755) q[7], q[8];\ncrz(0.5638) q[6], q[7];\ncrz(-0.0002) q[5], q[6];\ncrz(-0.0016) q[4], q[5];\ncrz(-0.0022) q[3], q[4];\ncrz(0.3146) q[2], q[3];\ncrz(0.0057) q[1], q[2];\ncrz(0.7963) q[0], q[1];\nrx(0.3902) q[0];\nrz(0.0027) q[0];\nrx(1.5785) q[1];\nrz(0.0086) q[1];\nrx(1.5817) q[2];\nrz(0.0096) q[2];\nrx(0.7836) q[3];\nrz(0.0021) q[3];\nrx(1.579) q[4];\nrz(0.0022) q[4];\nrx(1.5826) q[5];\nrz(0.0045) q[5];\nrx(1.5863) q[6];\nrz(0.0068) q[6];\nrx(0.1362) q[7];\nrz(0.0006) q[7];\nrx(0.5497) q[8];\nrz(0.0088) q[8];\ncrz(0.0047) q[8], q[0];\ncrz(0.0032) q[7], q[8];\ncrz(0.0065) q[6], q[7];\ncrz(0.009) q[5], q[6];\ncrz(0.0088) q[4], q[5];\ncrz(0.0023) q[3], q[4];\ncrz(0.0014) q[2], q[3];\ncrz(0.0091) q[1], q[2];\ncrz(0.0046) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\ncrz(x45) q[8], q[0];\ncrz(x46) q[7], q[8];\ncrz(x47) q[6], q[7];\ncrz(x48) q[5], q[6];\ncrz(x44) q[4], q[5];\ncrz(x49) q[3], q[4];\ncrz(x50) q[2], q[3];\ncrz(x51) q[1], q[2];\ncrz(x52) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["3270355524554715564","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 3], [8, 6], [4, 6, 7], [0, 8], [0, 6], [0, 1], [1, 2], [5, 6]]}","{\"states\": [181, 180], \"expectation_value\": -0.3539494951497588, \"params\": [0.6945, -0.0049, 0.687, 0.0037, 0.7107, 0.005200000000000001, 0.7057, 0.0058000000000000005, 0.7064, 0.0031000000000000003, 0.5501, 0.006500000000000001, 0.7093, -0.002, 0.7020000000000001, 0.009600000000000001, 0.7077, -0.0011, 0.6970000000000001, 0.0095, 0.6997, 0.0013000000000000002, 0.5554, 0.0061, 0.7040000000000001, 0.0051, 0.7028, 0.0056, 0.7059000000000001, -0.0091, 0.7030000000000001, 0.0098, 0.7092, -0.0021000000000000003, 0.7045, 0.0083, -0.18910000000000002, 0.6348, -0.2551, 0.42600000000000005, 0.45520000000000005, -0.395, 0.6069, -0.24180000000000001, -0.23140000000000002], \"bitstrings\": [\"101001010\", \"101001011\"], \"total_optimization_steps\": 70, \"probabilities\": [0.06417502112599013, 0.09181928048617045], \"optimization_time\": 36.929112911224365}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(8) + 0.16666666666666696 * Z(6) + 0.16666666666666666 * Z(4) + 0.16666666666666666 * Z(7) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5)",6,9,1,"{\"smallest_eigenvalues\": [-2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.833333333333333, \"smallest_bitstrings\": [\"101011001\", \"010101011\", \"101011000\", \"010111001\", \"101001011\", \"101001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.6945) q[0];\nrz(-0.0049) q[0];\nrx(0.7107) q[1];\nrz(0.0052) q[1];\nrx(0.7064) q[2];\nrz(0.0031) q[2];\nrx(0.7093) q[3];\nrz(-0.002) q[3];\nrx(0.7077) q[4];\nrz(-0.0011) q[4];\nrx(0.6997) q[5];\nrz(0.0013) q[5];\nrx(0.704) q[6];\nrz(0.0051) q[6];\nrx(0.7059) q[7];\nrz(-0.0091) q[7];\nrx(0.7092) q[8];\nrz(-0.0021) q[8];\ncrx(-0.2418) q[8], q[7];\ncrx(0.6069) q[8], q[6];\ncrx(-0.395) q[8], q[5];\ncrx(0.4552) q[8], q[4];\ncrx(0.426) q[8], q[3];\ncrx(-0.2551) q[8], q[2];\ncrx(0.6348) q[8], q[1];\ncrx(-0.1891) q[8], q[0];\ncrx(-0.2314) q[7], q[8];\ncrx(0.6069) q[7], q[6];\ncrx(-0.395) q[7], q[5];\ncrx(0.4552) q[7], q[4];\ncrx(0.426) q[7], q[3];\ncrx(-0.2551) q[7], q[2];\ncrx(0.6348) q[7], q[1];\ncrx(-0.1891) q[7], q[0];\ncrx(-0.2314) q[6], q[8];\ncrx(-0.2418) q[6], q[7];\ncrx(-0.395) q[6], q[5];\ncrx(0.4552) q[6], q[4];\ncrx(0.426) q[6], q[3];\ncrx(-0.2551) q[6], q[2];\ncrx(0.6348) q[6], q[1];\ncrx(-0.1891) q[6], q[0];\ncrx(-0.2314) q[5], q[8];\ncrx(-0.2418) q[5], q[7];\ncrx(0.6069) q[5], q[6];\ncrx(0.4552) q[5], q[4];\ncrx(0.426) q[5], q[3];\ncrx(-0.2551) q[5], q[2];\ncrx(0.6348) q[5], q[1];\ncrx(-0.1891) q[5], q[0];\ncrx(-0.2314) q[4], q[8];\ncrx(-0.2418) q[4], q[7];\ncrx(0.6069) q[4], q[6];\ncrx(-0.395) q[4], q[5];\ncrx(0.426) q[4], q[3];\ncrx(-0.2551) q[4], q[2];\ncrx(0.6348) q[4], q[1];\ncrx(-0.1891) q[4], q[0];\ncrx(-0.2314) q[3], q[8];\ncrx(-0.2418) q[3], q[7];\ncrx(0.6069) q[3], q[6];\ncrx(-0.395) q[3], q[5];\ncrx(0.4552) q[3], q[4];\ncrx(-0.2551) q[3], q[2];\ncrx(0.6348) q[3], q[1];\ncrx(-0.1891) q[3], q[0];\ncrx(-0.2314) q[2], q[8];\ncrx(-0.2418) q[2], q[7];\ncrx(0.6069) q[2], q[6];\ncrx(-0.395) q[2], q[5];\ncrx(0.4552) q[2], q[4];\ncrx(0.426) q[2], q[3];\ncrx(0.6348) q[2], q[1];\ncrx(-0.1891) q[2], q[0];\ncrx(-0.2314) q[1], q[8];\ncrx(-0.2418) q[1], q[7];\ncrx(0.6069) q[1], q[6];\ncrx(-0.395) q[1], q[5];\ncrx(0.4552) q[1], q[4];\ncrx(0.426) q[1], q[3];\ncrx(-0.2551) q[1], q[2];\ncrx(-0.1891) q[1], q[0];\ncrx(-0.2314) q[0], q[8];\ncrx(-0.2418) q[0], q[7];\ncrx(0.6069) q[0], q[6];\ncrx(-0.395) q[0], q[5];\ncrx(0.4552) q[0], q[4];\ncrx(0.426) q[0], q[3];\ncrx(-0.2551) q[0], q[2];\ncrx(0.6348) q[0], q[1];\nrx(0.687) q[0];\nrz(0.0037) q[0];\nrx(0.7057) q[1];\nrz(0.0058) q[1];\nrx(0.5501) q[2];\nrz(0.0065) q[2];\nrx(0.702) q[3];\nrz(0.0096) q[3];\nrx(0.697) q[4];\nrz(0.0095) q[4];\nrx(0.5554) q[5];\nrz(0.0061) q[5];\nrx(0.7028) q[6];\nrz(0.0056) q[6];\nrx(0.703) q[7];\nrz(0.0098) q[7];\nrx(0.7045) q[8];\nrz(0.0083) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrx(x18) q[8], q[7];\ncrx(x19) q[8], q[6];\ncrx(x20) q[8], q[5];\ncrx(x21) q[8], q[4];\ncrx(x22) q[8], q[3];\ncrx(x23) q[8], q[2];\ncrx(x24) q[8], q[1];\ncrx(x25) q[8], q[0];\ncrx(x26) q[7], q[8];\ncrx(x19) q[7], q[6];\ncrx(x20) q[7], q[5];\ncrx(x21) q[7], q[4];\ncrx(x22) q[7], q[3];\ncrx(x23) q[7], q[2];\ncrx(x24) q[7], q[1];\ncrx(x25) q[7], q[0];\ncrx(x26) q[6], q[8];\ncrx(x18) q[6], q[7];\ncrx(x20) q[6], q[5];\ncrx(x21) q[6], q[4];\ncrx(x22) q[6], q[3];\ncrx(x23) q[6], q[2];\ncrx(x24) q[6], q[1];\ncrx(x25) q[6], q[0];\ncrx(x26) q[5], q[8];\ncrx(x18) q[5], q[7];\ncrx(x19) q[5], q[6];\ncrx(x21) q[5], q[4];\ncrx(x22) q[5], q[3];\ncrx(x23) q[5], q[2];\ncrx(x24) q[5], q[1];\ncrx(x25) q[5], q[0];\ncrx(x26) q[4], q[8];\ncrx(x18) q[4], q[7];\ncrx(x19) q[4], q[6];\ncrx(x20) q[4], q[5];\ncrx(x22) q[4], q[3];\ncrx(x23) q[4], q[2];\ncrx(x24) q[4], q[1];\ncrx(x25) q[4], q[0];\ncrx(x26) q[3], q[8];\ncrx(x18) q[3], q[7];\ncrx(x19) q[3], q[6];\ncrx(x20) q[3], q[5];\ncrx(x21) q[3], q[4];\ncrx(x23) q[3], q[2];\ncrx(x24) q[3], q[1];\ncrx(x25) q[3], q[0];\ncrx(x26) q[2], q[8];\ncrx(x18) q[2], q[7];\ncrx(x19) q[2], q[6];\ncrx(x20) q[2], q[5];\ncrx(x21) q[2], q[4];\ncrx(x22) q[2], q[3];\ncrx(x24) q[2], q[1];\ncrx(x25) q[2], q[0];\ncrx(x26) q[1], q[8];\ncrx(x18) q[1], q[7];\ncrx(x19) q[1], q[6];\ncrx(x20) q[1], q[5];\ncrx(x21) q[1], q[4];\ncrx(x22) q[1], q[3];\ncrx(x23) q[1], q[2];\ncrx(x25) q[1], q[0];\ncrx(x26) q[0], q[8];\ncrx(x18) q[0], q[7];\ncrx(x19) q[0], q[6];\ncrx(x20) q[0], q[5];\ncrx(x21) q[0], q[4];\ncrx(x22) q[0], q[3];\ncrx(x23) q[0], q[2];\ncrx(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["59b55089c15cad6a91f754f2be38a436","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [247, 243], \"expectation_value\": -0.6590016101825699, \"params\": [1.4280000000000002, 0.009600000000000001, 1.1841000000000002, 0.0063, 1.7028, 0.0049, 1.7006000000000001, 0.006900000000000001, 1.7072, 0.0055000000000000005, 1.7015, 0.0039000000000000003, 0.45170000000000005, 0.0066, 1.4837, 0.0031000000000000003, 1.7051, 0.0037, 1.7032, 0.0008, 0.0058000000000000005, 0.009000000000000001, 0.0095, 0.0033, 0.0017000000000000001, 0.0098, 0.008, 0.0029000000000000002, 0.0, 0.0026000000000000003, 0.0095, 0.0047, 0.0029000000000000002, 0.0034000000000000002, 0.0023, 0.0057, 0.0022, 0.007, 0.0047, 0.0016], \"bitstrings\": [\"1100001000\", \"1100001100\"], \"total_optimization_steps\": 170, \"probabilities\": [0.005612596299630684, 0.006682458919685335], \"optimization_time\": 6.461745262145996}","0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(2) @ Z(7) @ Z(8)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(9)) + 0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(5) @ Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(9) @ Z(1)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(4) @ Z(9)) + 0.125 * (Z(9) @ Z(8)) + -0.125 * (Z(4) @ Z(8) @ Z(1)) + -0.125 * (Z(4) @ Z(9) @ Z(1)) + -0.125 * (Z(9) @ Z(8) @ Z(1)) + -0.125 * (Z(4) @ Z(9) @ Z(8)) + 0.125 * (Z(4) @ Z(9) @ Z(8) @ Z(1)) + -0.125 * Z(0) + -0.125 * Z(1) + 0.125 * Z(2) + -0.125 * Z(3) + 0.25 * Z(4) + -0.25 * Z(5) + -0.5 * Z(6) + 0.0 * Z(7) + 0.125 * Z(8) + 0.125 * Z(9)",16,10,1,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 16, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"0101001100\", \"0100101100\", \"0101010010\", \"0110001100\", \"0110001001\", \"0111010000\", \"0110011000\", \"0101010100\", \"1100001100\", \"1000101100\", \"1000011010\", \"1000001110\", \"1000001101\", \"1000001011\", \"1001010010\", \"1010001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(1.428) q[0];\nrz(0.0096) q[0];\nrx(1.1841) q[1];\nrz(0.0063) q[1];\nrx(1.7028) q[2];\nrz(0.0049) q[2];\nrx(1.7006) q[3];\nrz(0.0069) q[3];\nrx(1.7072) q[4];\nrz(0.0055) q[4];\nrx(1.7015) q[5];\nrz(0.0039) q[5];\nrx(0.4517) q[6];\nrz(0.0066) q[6];\nrx(1.4837) q[7];\nrz(0.0031) q[7];\nrx(1.7051) q[8];\nrz(0.0037) q[8];\nrx(1.7032) q[9];\nrz(0.0008) q[9];\ncrz(0.0058) q[1], q[0];\ncrz(0.0017) q[3], q[2];\ncrz(0) q[5], q[4];\ncrz(0.0029) q[7], q[6];\ncrz(0.0022) q[9], q[8];\ncrz(0.0033) q[2], q[1];\ncrz(0.0029) q[4], q[3];\ncrz(0.0047) q[6], q[5];\ncrz(0.0057) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[1], q[0];\ncrz(x21) q[3], q[2];\ncrz(x22) q[5], q[4];\ncrz(x23) q[7], q[6];\ncrz(x24) q[9], q[8];\ncrz(x25) q[2], q[1];\ncrz(x23) q[4], q[3];\ncrz(x26) q[6], q[5];\ncrz(x27) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["aade6b836b57350e8a9bbf86526779e2","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 8}, {\"weight\": 4, \"source\": 1, \"target\": 9}, {\"weight\": 12, \"source\": 1, \"target\": 8}, {\"weight\": 7, \"source\": 2, \"target\": 10}, {\"weight\": 6, \"source\": 3, \"target\": 11}, {\"weight\": 20, \"source\": 3, \"target\": 8}, {\"weight\": 16, \"source\": 3, \"target\": 9}, {\"weight\": 20, \"source\": 6, \"target\": 8}, {\"weight\": 20, \"source\": 7, \"target\": 8}]}","{\"states\": [399, 143], \"expectation_value\": -105.24636086589527, \"params\": [1.5363, 0.00030000000000000003, 3.0969, 0.0068000000000000005, 0.3765, 0.0, 0.0024000000000000002, 0.009600000000000001, 0.498, 0.0099, 3.0896000000000003, 0.0085, 3.0987, 0.007200000000000001, 3.0899, 0.0031000000000000003, 3.0886, 0.0027, 0.0001, 0.0002, 0.0014, 0.0051, 0.0022, 0.0037, 0.0006000000000000001, 0.0091, 0.0088], \"bitstrings\": [\"001110000\", \"101110000\"], \"total_optimization_steps\": 310, \"probabilities\": [0.4362340538402155, 0.46743183071700234], \"optimization_time\": 21.64969825744629}","6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 25.5 * Z(1) + 17.5 * Z(0) + 2.0 * Z(2) + 36.0 * Z(5) + 14.5 * Z(6) + 3.0 * Z(4) + 23.0 * Z(7) + 23.0 * Z(8) + -9.5 * Z(3)",18,9,1,"{\"smallest_eigenvalues\": [-115.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -104.5, \"smallest_bitstrings\": [\"101110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(1.5363) q[0];\nrz(0.0003) q[0];\nrx(3.0969) q[1];\nrz(0.0068) q[1];\nrx(0.3765) q[2];\nrz(0) q[2];\nrx(0.0024) q[3];\nrz(0.0096) q[3];\nrx(0.498) q[4];\nrz(0.0099) q[4];\nrx(3.0896) q[5];\nrz(0.0085) q[5];\nrx(3.0987) q[6];\nrz(0.0072) q[6];\nrx(3.0899) q[7];\nrz(0.0031) q[7];\nrx(3.0886) q[8];\nrz(0.0027) q[8];\ncrz(0.0001) q[8], q[0];\ncrz(0.0088) q[7], q[8];\ncrz(0.0091) q[6], q[7];\ncrz(0.0006) q[5], q[6];\ncrz(0.0037) q[4], q[5];\ncrz(0.0022) q[3], q[4];\ncrz(0.0051) q[2], q[3];\ncrz(0.0014) q[1], q[2];\ncrz(0.0002) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7], \\\"right_nodes\\\": [8, 9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["42fc1cab65130010b16c5206f9faaa99","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 6, \"target\": 7}]}","{\"states\": [67, 7], \"expectation_value\": -6.26466472503126, \"params\": [[-0.013600000000000001, -0.0128, -0.0509], [0.0158, 0.017400000000000002, 0.0591]], \"bitstrings\": [\"10111100\", \"11111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006719340641374812, 0.007071866989302057], \"optimization_time\": 8.458380699157715}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 2.75 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 3.0 * (Z(7) @ Z(1)) + 3.0 * (Z(7) @ Z(0)) + 2.75 * (Z(7) @ Z(2)) + 3.0 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(5)) + 2.75 * (Z(7) @ Z(6)) + -7.25 * Z(1) + -7.0 * Z(0) + -7.5 * Z(2) + -7.0 * Z(3) + -7.0 * Z(4) + -6.25 * Z(5) + -6.5 * Z(6) + -6.5 * Z(7)",4,8,3,"{\"smallest_eigenvalues\": [-24.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.5, \"smallest_bitstrings\": [\"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.0748) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0748) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0748) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0748) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0748) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0748) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0748) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0748) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0748) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0748) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0816) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0816) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0748) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0816) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0816) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.0748) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0816) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0816) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.0816) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0816) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0816) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.0816) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.0816) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.0748) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.0816) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0816) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.0816) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0748) q[7];\ncx q[6], q[7];\nrz(0.1972) q[1];\nrz(0.1904) q[0];\nrz(0.204) q[2];\nrz(0.1904) q[3];\nrz(0.1904) q[4];\nrz(0.17) q[5];\nrz(0.1768) q[6];\nrz(0.1768) q[7];\nh q[0];\nrz(0.0316) q[0];\nh q[0];\nh q[1];\nrz(0.0316) q[1];\nh q[1];\nh q[2];\nrz(0.0316) q[2];\nh q[2];\nh q[3];\nrz(0.0316) q[3];\nh q[3];\nh q[4];\nrz(0.0316) q[4];\nh q[4];\nh q[5];\nrz(0.0316) q[5];\nh q[5];\nh q[6];\nrz(0.0316) q[6];\nh q[6];\nh q[7];\nrz(0.0316) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0704) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0704) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0704) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0704) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0704) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0704) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0704) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0704) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0704) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0704) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0768) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0768) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0704) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0768) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0768) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.0704) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0768) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0768) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.0768) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0768) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0768) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.0768) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.0768) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.0704) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.0768) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0768) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.0768) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0704) q[7];\ncx q[6], q[7];\nrz(0.1856) q[1];\nrz(0.1792) q[0];\nrz(0.192) q[2];\nrz(0.1792) q[3];\nrz(0.1792) q[4];\nrz(0.16) q[5];\nrz(0.1664) q[6];\nrz(0.1664) q[7];\nh q[0];\nrz(0.0348) q[0];\nh q[0];\nh q[1];\nrz(0.0348) q[1];\nh q[1];\nh q[2];\nrz(0.0348) q[2];\nh q[2];\nh q[3];\nrz(0.0348) q[3];\nh q[3];\nh q[4];\nrz(0.0348) q[4];\nh q[4];\nh q[5];\nrz(0.0348) q[5];\nh q[5];\nh q[6];\nrz(0.0348) q[6];\nh q[6];\nh q[7];\nrz(0.0348) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.28) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.28) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.28) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.28) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.28) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.28) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.28) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.28) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.28) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.28) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.3054) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.3054) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.28) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.3054) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.3054) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.28) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.3054) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.3054) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.3054) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.3054) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.3054) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.3054) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.3054) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.28) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.3054) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.3054) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.3054) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.28) q[7];\ncx q[6], q[7];\nrz(0.738) q[1];\nrz(0.7126) q[0];\nrz(0.7635) q[2];\nrz(0.7126) q[3];\nrz(0.7126) q[4];\nrz(0.6362) q[5];\nrz(0.6617) q[6];\nrz(0.6617) q[7];\nh q[0];\nrz(0.1182) q[0];\nh q[0];\nh q[1];\nrz(0.1182) q[1];\nh q[1];\nh q[2];\nrz(0.1182) q[2];\nh q[2];\nh q[3];\nrz(0.1182) q[3];\nh q[3];\nh q[4];\nrz(0.1182) q[4];\nh q[4];\nh q[5];\nrz(0.1182) q[5];\nh q[5];\nh q[6];\nrz(0.1182) q[6];\nh q[6];\nh q[7];\nrz(0.1182) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x1) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x4) q[2];\nrz(x3) q[3];\nrz(x3) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x6) q[7];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x8) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x8) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x8) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x8) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x8) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x8) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x9) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x9) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x8) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x9) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x9) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x8) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x9) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x9) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x8) q[7];\ncx q[6], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x11) q[3];\nrz(x11) q[4];\nrz(x13) q[5];\nrz(x14) q[6];\nrz(x14) q[7];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x16) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x16) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x16) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x16) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x16) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x16) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x16) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x16) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x16) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x17) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x17) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x16) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x17) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x17) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x16) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x17) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x17) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x17) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x17) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x17) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x17) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x17) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x16) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x17) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x17) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x17) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x16) q[7];\ncx q[6], q[7];\nrz(x18) q[1];\nrz(x19) q[0];\nrz(x20) q[2];\nrz(x19) q[3];\nrz(x19) q[4];\nrz(x21) q[5];\nrz(x22) q[6];\nrz(x22) q[7];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["b2a86e79e509d0d76748a475959a4d60","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [28, 86], \"expectation_value\": -1.3614314606011924, \"params\": [[0.0734, 0.07, 0.07300000000000001, 0.07740000000000001], [-0.0816, -0.0724, -0.0716, -0.0734]], \"bitstrings\": [\"1100011\", \"0101001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.019466170144303175, 0.021360944494747937], \"optimization_time\": 13.24285340309143}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(4)",1,7,4,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"0101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(0.0734) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.0734) q[1];\ncx q[3], q[1];\ncx q[1], q[2];\nrz(0.0734) q[2];\ncx q[1], q[2];\ncx q[3], q[5];\nrz(0.0734) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(0.0734) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(0.0734) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(0.0734) q[6];\ncx q[2], q[6];\ncx q[6], q[4];\nrz(0.0734) q[4];\ncx q[6], q[4];\nrz(-0.2202) q[3];\nrz(0) q[0];\nrz(-0.1468) q[1];\nrz(-0.0734) q[2];\nrz(-0.0734) q[5];\nrz(-0.1468) q[6];\nrz(0) q[4];\nh q[0];\nrz(-0.1632) q[0];\nh q[0];\nh q[1];\nrz(-0.1632) q[1];\nh q[1];\nh q[2];\nrz(-0.1632) q[2];\nh q[2];\nh q[3];\nrz(-0.1632) q[3];\nh q[3];\nh q[4];\nrz(-0.1632) q[4];\nh q[4];\nh q[5];\nrz(-0.1632) q[5];\nh q[5];\nh q[6];\nrz(-0.1632) q[6];\nh q[6];\ncx q[3], q[0];\nrz(0.07) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.07) q[1];\ncx q[3], q[1];\ncx q[1], q[2];\nrz(0.07) q[2];\ncx q[1], q[2];\ncx q[3], q[5];\nrz(0.07) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(0.07) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(0.07) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(0.07) q[6];\ncx q[2], q[6];\ncx q[6], q[4];\nrz(0.07) q[4];\ncx q[6], q[4];\nrz(-0.21) q[3];\nrz(0) q[0];\nrz(-0.14) q[1];\nrz(-0.07) q[2];\nrz(-0.07) q[5];\nrz(-0.14) q[6];\nrz(0) q[4];\nh q[0];\nrz(-0.1448) q[0];\nh q[0];\nh q[1];\nrz(-0.1448) q[1];\nh q[1];\nh q[2];\nrz(-0.1448) q[2];\nh q[2];\nh q[3];\nrz(-0.1448) q[3];\nh q[3];\nh q[4];\nrz(-0.1448) q[4];\nh q[4];\nh q[5];\nrz(-0.1448) q[5];\nh q[5];\nh q[6];\nrz(-0.1448) q[6];\nh q[6];\ncx q[3], q[0];\nrz(0.073) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.073) q[1];\ncx q[3], q[1];\ncx q[1], q[2];\nrz(0.073) q[2];\ncx q[1], q[2];\ncx q[3], q[5];\nrz(0.073) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(0.073) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(0.073) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(0.073) q[6];\ncx q[2], q[6];\ncx q[6], q[4];\nrz(0.073) q[4];\ncx q[6], q[4];\nrz(-0.219) q[3];\nrz(0) q[0];\nrz(-0.146) q[1];\nrz(-0.073) q[2];\nrz(-0.073) q[5];\nrz(-0.146) q[6];\nrz(0) q[4];\nh q[0];\nrz(-0.1432) q[0];\nh q[0];\nh q[1];\nrz(-0.1432) q[1];\nh q[1];\nh q[2];\nrz(-0.1432) q[2];\nh q[2];\nh q[3];\nrz(-0.1432) q[3];\nh q[3];\nh q[4];\nrz(-0.1432) q[4];\nh q[4];\nh q[5];\nrz(-0.1432) q[5];\nh q[5];\nh q[6];\nrz(-0.1432) q[6];\nh q[6];\ncx q[3], q[0];\nrz(0.0774) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.0774) q[1];\ncx q[3], q[1];\ncx q[1], q[2];\nrz(0.0774) q[2];\ncx q[1], q[2];\ncx q[3], q[5];\nrz(0.0774) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(0.0774) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(0.0774) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(0.0774) q[6];\ncx q[2], q[6];\ncx q[6], q[4];\nrz(0.0774) q[4];\ncx q[6], q[4];\nrz(-0.2322) q[3];\nrz(0) q[0];\nrz(-0.1548) q[1];\nrz(-0.0774) q[2];\nrz(-0.0774) q[5];\nrz(-0.1548) q[6];\nrz(0) q[4];\nh q[0];\nrz(-0.1468) q[0];\nh q[0];\nh q[1];\nrz(-0.1468) q[1];\nh q[1];\nh q[2];\nrz(-0.1468) q[2];\nh q[2];\nh q[3];\nrz(-0.1468) q[3];\nh q[3];\nh q[4];\nrz(-0.1468) q[4];\nh q[4];\nh q[5];\nrz(-0.1468) q[5];\nh q[5];\nh q[6];\nrz(-0.1468) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x4) q[2];\nrz(x4) q[5];\nrz(x3) q[6];\nrz(x2) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x6) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x6) q[1];\ncx q[3], q[1];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(x6) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[6], q[4];\nrz(x6) q[4];\ncx q[6], q[4];\nrz(x7) q[3];\nrz(x2) q[0];\nrz(x8) q[1];\nrz(x9) q[2];\nrz(x9) q[5];\nrz(x8) q[6];\nrz(x2) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(x11) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[6], q[4];\nrz(x11) q[4];\ncx q[6], q[4];\nrz(x12) q[3];\nrz(x2) q[0];\nrz(x13) q[1];\nrz(x14) q[2];\nrz(x14) q[5];\nrz(x13) q[6];\nrz(x2) q[4];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x16) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x16) q[1];\ncx q[3], q[1];\ncx q[1], q[2];\nrz(x16) q[2];\ncx q[1], q[2];\ncx q[3], q[5];\nrz(x16) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(x16) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(x16) q[6];\ncx q[2], q[6];\ncx q[6], q[4];\nrz(x16) q[4];\ncx q[6], q[4];\nrz(x17) q[3];\nrz(x2) q[0];\nrz(x18) q[1];\nrz(x19) q[2];\nrz(x19) q[5];\nrz(x18) q[6];\nrz(x2) q[4];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["-3476425399582412514","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 7], [1, 3, 5], [0, 2, 5], [2, 3], [0, 1, 4], [4, 5, 6], [4, 6, 7], [0, 3], [1, 3, 6], [1, 2, 7], [4, 5, 7], [3, 6, 7], [1, 5, 7]]}","{\"states\": [234, 230], \"expectation_value\": -0.1015042767152605, \"params\": [[0.0609], [-0.055900000000000005]], \"bitstrings\": [\"00010101\", \"00011001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004213210696113554, 0.004231397621170056], \"optimization_time\": 2.981830358505249}","0.5 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.8333333333333333 * Z(7) + 0.3333333333333335 * Z(0) + 0.8333333333333335 * Z(1) + 0.5 * Z(3) + 0.8333333333333333 * Z(5) + 0.3333333333333335 * Z(2) + 0.6666666666666666 * Z(4) + 0.6666666666666666 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-3.5000000000000004], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.4999999999999996, \"smallest_bitstrings\": [\"00011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[0];\nrz(0.0609) q[0];\ncx q[7], q[0];\ncx q[7], q[1];\nrz(0.0406) q[1];\ncx q[7], q[1];\ncx q[0], q[1];\nrz(0.0203) q[1];\ncx q[0], q[1];\ncx q[7], q[3];\nrz(0.0203) q[3];\ncx q[7], q[3];\ncx q[0], q[3];\nrz(0.0609) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(0.0406) q[3];\ncx q[1], q[3];\ncx q[7], q[5];\nrz(0.0406) q[5];\ncx q[7], q[5];\ncx q[0], q[5];\nrz(0.0203) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(0.0406) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.0203) q[5];\ncx q[3], q[5];\ncx q[7], q[2];\nrz(0.0203) q[2];\ncx q[7], q[2];\ncx q[0], q[2];\nrz(0.0203) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(0.0203) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(0.0609) q[2];\ncx q[3], q[2];\ncx q[5], q[2];\nrz(0.0203) q[2];\ncx q[5], q[2];\ncx q[7], q[4];\nrz(0.0406) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(0.0203) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(0.0203) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(0.0406) q[4];\ncx q[5], q[4];\ncx q[7], q[6];\nrz(0.0406) q[6];\ncx q[7], q[6];\ncx q[1], q[6];\nrz(0.0203) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.0406) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0203) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.0406) q[6];\ncx q[4], q[6];\nrz(0.1015) q[7];\nrz(0.0406) q[0];\nrz(0.1015) q[1];\nrz(0.0609) q[3];\nrz(0.1015) q[5];\nrz(0.0406) q[2];\nrz(0.0812) q[4];\nrz(0.0812) q[6];\nh q[0];\nrz(-0.1118) q[0];\nh q[0];\nh q[1];\nrz(-0.1118) q[1];\nh q[1];\nh q[2];\nrz(-0.1118) q[2];\nh q[2];\nh q[3];\nrz(-0.1118) q[3];\nh q[3];\nh q[4];\nrz(-0.1118) q[4];\nh q[4];\nh q[5];\nrz(-0.1118) q[5];\nh q[5];\nh q[6];\nrz(-0.1118) q[6];\nh q[6];\nh q[7];\nrz(-0.1118) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[0];\nrz(x0) q[0];\ncx q[7], q[0];\ncx q[7], q[1];\nrz(x1) q[1];\ncx q[7], q[1];\ncx q[0], q[1];\nrz(x2) q[1];\ncx q[0], q[1];\ncx q[7], q[3];\nrz(x2) q[3];\ncx q[7], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[7], q[2];\nrz(x2) q[2];\ncx q[7], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x2) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[5], q[2];\nrz(x2) q[2];\ncx q[5], q[2];\ncx q[7], q[4];\nrz(x1) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\nrz(x3) q[7];\nrz(x1) q[0];\nrz(x3) q[1];\nrz(x0) q[3];\nrz(x3) q[5];\nrz(x1) q[2];\nrz(x4) q[4];\nrz(x4) q[6];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["159674029209513093","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 2, 3, 4, 5], [1, 2, 3, 5], [0, 1, 2, 4], [0, 1, 2, 5], [0, 1, 2, 3], [0, 1, 3, 4, 5]]}","{\"states\": [45, 53], \"expectation_value\": -0.98909663971875, \"params\": [[-0.5675], [0.3735]], \"bitstrings\": [\"010010\", \"001010\"], \"total_optimization_steps\": 60, \"probabilities\": [0.03939136419676468, 0.03939136419676469], \"optimization_time\": 3.8801965713500977}","0.3 * (Z(0) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(0)) + 0.18333333333333335 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.3 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(1) @ Z(4)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.6 * Z(2) + 0.5750000000000002 * Z(0) + 0.45000000000000007 * Z(3) + 0.3249999999999999 * Z(4) + 0.45000000000000007 * Z(5) + 0.6 * Z(1)",1,6,1,"{\"smallest_eigenvalues\": [-1.3166666666666669, -1.3166666666666669], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.3166666666666664, \"smallest_bitstrings\": [\"001010\", \"010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(-0.3405) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(-0.2459) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.2081) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(-0.1513) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(-0.2081) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.1135) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.2459) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.2081) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(-0.2081) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.1135) q[5];\ncx q[4], q[5];\ncx q[2], q[1];\nrz(-0.3783) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.3405) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.2459) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.1513) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.2459) q[1];\ncx q[5], q[1];\nrz(-0.681) q[2];\nrz(-0.6526) q[0];\nrz(-0.5108) q[3];\nrz(-0.3689) q[4];\nrz(-0.5108) q[5];\nrz(-0.681) q[1];\nh q[0];\nrz(0.747) q[0];\nh q[0];\nh q[1];\nrz(0.747) q[1];\nh q[1];\nh q[2];\nrz(0.747) q[2];\nh q[2];\nh q[3];\nrz(0.747) q[3];\nh q[3];\nh q[4];\nrz(0.747) q[4];\nh q[4];\nh q[5];\nrz(0.747) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x4) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[2], q[1];\nrz(x5) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x3) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x1) q[1];\ncx q[5], q[1];\nrz(x6) q[2];\nrz(x7) q[0];\nrz(x8) q[3];\nrz(x9) q[4];\nrz(x8) q[5];\nrz(x6) q[1];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["feaf30b79c91a036f216c182772bdb1d","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 7, \"target\": 8}]}","{\"states\": [60, 252], \"expectation_value\": -10.573244495668249, \"params\": null, \"bitstrings\": [\"11000011\", \"00000011\"], \"total_optimization_steps\": 81, \"probabilities\": [0.11554366625812093, 0.546588560715556], \"optimization_time\": 115.0621497631073}","-1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-14.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.0, \"smallest_bitstrings\": [\"00000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[5], q[2];\ncry(1.5708) q[2], q[4];\ncry(1.2306) q[4], q[5];\ncry(0.4422) q[4], q[2];\ncry(1.5705) q[2], q[3];\nry(-1.5681) q[7];\nry(-1.5708) q[6];\ncry(1.5486) q[1], q[0];\ncry(1.2305) q[0], q[1];\nry(-0.2024) q[4];\ncry(0.2024) q[5], q[4];\ncry(-0.1821) q[1], q[4];\ncry(0.1408) q[2], q[5];\nry(-0.1242) q[3];\ncry(0.1243) q[5], q[3];\ncry(0.0401) q[3], q[4];\ncry(-0.1196) q[1], q[3];\ncry(-0.0298) q[0], q[4];\ncry(-1.0025) q[3], q[2];\nry(-0.4135) q[2];\ncry(0.8511) q[1], q[2];\ncry(0.0277) q[0], q[2];\ncry(-0.1435) q[3], q[5];\ncry(0.0451) q[0], q[5];\nry(-0.0324) q[5];\ncry(0.0324) q[1], q[5];\ncry(0.049) q[4], q[3];\ncry(-0.0694) q[0], q[3];\nry(0.0162) q[0];\ncry(-0.0027) q[3], q[7];\ncry(-0.0001) q[4], q[7];\ncry(-0.0003) q[1], q[7];\nry(0.0077) q[1];\ncry(0.0049) q[3], q[0];\ncry(0.0003) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"node\": 7}",{"$cut":{"chars":75918,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[5], q[2];\\ncry(1.5708) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[5], q[2];\\ncry(1.5708) q[2], q[4];\\ncry(1.2306) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[5], q[2];\\ncry(1.5708) q[2], q[4];\\ncry(1.2306) q[4], q[5];\\ncry(0.4422) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[5], q[2];\\ncry(1.5708) q[2], q[4];\\ncry(1.2306) q[4], q[5];\\ncry(0.4422) q[4], q[2];\\ncry(1.5705) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[5], q[2];\\ncry(1.5708) q[2], q[4];\\ncry(1.2306) q[4], q[5];\\ncry(0.4422) q[4], q[2];\\ncry(1.5705) q[2], q[3];\\nry(-1.5681) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[5], q[2];\\ncry(1.5708) q[2], q[4];\\ncry(1.2306) q[4], q[5];\\ncry(0.4422) q[4], q[2];\\ncry(1.5705) q[2], q[3];\\nry(-1.5681) q[7];\\nry(-1.5708) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[5], q[2];\\ncry(1.5708) q[2], q[4];\\ncry(1.2306) q[4], q[5];\\ncry(0.4422) q[4], q[2];\\ncry(1.5705) q[2], q[3];\\nry(-1.5681) q[7];\\nry(-1.5708) q[6];\\ncry(1.5486) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[5], q[2];\\ncry(1.5708) q[2], q[4];\\ncry(1.2306) q[4], q[5];\\ncry(0.4422) q[4], q[2];\\ncry(1.5705) q[2], q[3];\\nry(-1.5681) q[7];\\nry(-1.5708) q[6];\\ncry(1.5486) q[1], q[0];\\ncry(1.2305) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];"}}]
["4cd28f9bc761b26f6d6f15aeccbaedea","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 0, \"target\": 4}, {\"weight\": 18, \"source\": 0, \"target\": 5}, {\"weight\": 20, \"source\": 0, \"target\": 3}, {\"weight\": 17, \"source\": 1, \"target\": 6}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 9, \"source\": 4, \"target\": 5}, {\"weight\": 14, \"source\": 4, \"target\": 6}]}","{\"states\": [122, 121], \"expectation_value\": -29.787190062500652, \"params\": [[-0.029300000000000003, -0.0158, 0.0035, 0.0165], [0.0526, 0.0616, 0.0674, 0.061000000000000006]], \"bitstrings\": [\"10000101\", \"10000110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01672834613389989, 0.01820252621087309], \"optimization_time\": 8.374863862991333}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 * Z(2) + 17.0 * Z(3) + 8.5 * Z(4) + 0.0 * Z(5) + 8.5 * Z(6) + 11.0 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-63.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -58.0, \"smallest_bitstrings\": [\"10000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2344) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2344) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2344) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2344) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2344) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2344) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.2344) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.2344) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(-0.2344) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.2344) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(-0.2344) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(-0.2344) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.2344) q[7];\ncx q[6], q[7];\nrz(-1.0548) q[1];\nrz(-0.7325) q[0];\nrz(-1.0255) q[2];\nrz(-0.9962) q[3];\nrz(-0.4981) q[4];\nrz(0) q[5];\nrz(-0.4981) q[6];\nrz(-0.6446) q[7];\nh q[0];\nrz(0.1052) q[0];\nh q[0];\nh q[1];\nrz(0.1052) q[1];\nh q[1];\nh q[2];\nrz(0.1052) q[2];\nh q[2];\nh q[3];\nrz(0.1052) q[3];\nh q[3];\nh q[4];\nrz(0.1052) q[4];\nh q[4];\nh q[5];\nrz(0.1052) q[5];\nh q[5];\nh q[6];\nrz(0.1052) q[6];\nh q[6];\nh q[7];\nrz(0.1052) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.1264) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1264) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1264) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1264) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1264) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1264) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.1264) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.1264) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(-0.1264) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.1264) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(-0.1264) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(-0.1264) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.1264) q[7];\ncx q[6], q[7];\nrz(-0.5688) q[1];\nrz(-0.395) q[0];\nrz(-0.553) q[2];\nrz(-0.5372) q[3];\nrz(-0.2686) q[4];\nrz(0) q[5];\nrz(-0.2686) q[6];\nrz(-0.3476) q[7];\nh q[0];\nrz(0.1232) q[0];\nh q[0];\nh q[1];\nrz(0.1232) q[1];\nh q[1];\nh q[2];\nrz(0.1232) q[2];\nh q[2];\nh q[3];\nrz(0.1232) q[3];\nh q[3];\nh q[4];\nrz(0.1232) q[4];\nh q[4];\nh q[5];\nrz(0.1232) q[5];\nh q[5];\nh q[6];\nrz(0.1232) q[6];\nh q[6];\nh q[7];\nrz(0.1232) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.028) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.028) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.028) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.028) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.028) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.028) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.028) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(0.028) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(0.028) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.028) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(0.028) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.028) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.028) q[7];\ncx q[6], q[7];\nrz(0.126) q[1];\nrz(0.0875) q[0];\nrz(0.1225) q[2];\nrz(0.119) q[3];\nrz(0.0595) q[4];\nrz(0) q[5];\nrz(0.0595) q[6];\nrz(0.077) q[7];\nh q[0];\nrz(0.1348) q[0];\nh q[0];\nh q[1];\nrz(0.1348) q[1];\nh q[1];\nh q[2];\nrz(0.1348) q[2];\nh q[2];\nh q[3];\nrz(0.1348) q[3];\nh q[3];\nh q[4];\nrz(0.1348) q[4];\nh q[4];\nh q[5];\nrz(0.1348) q[5];\nh q[5];\nh q[6];\nrz(0.1348) q[6];\nh q[6];\nh q[7];\nrz(0.1348) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.132) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.132) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.132) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.132) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.132) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.132) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.132) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(0.132) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(0.132) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.132) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(0.132) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.132) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.132) q[7];\ncx q[6], q[7];\nrz(0.594) q[1];\nrz(0.4125) q[0];\nrz(0.5775) q[2];\nrz(0.561) q[3];\nrz(0.2805) q[4];\nrz(0) q[5];\nrz(0.2805) q[6];\nrz(0.363) q[7];\nh q[0];\nrz(0.122) q[0];\nh q[0];\nh q[1];\nrz(0.122) q[1];\nh q[1];\nh q[2];\nrz(0.122) q[2];\nh q[2];\nh q[3];\nrz(0.122) q[3];\nh q[3];\nh q[4];\nrz(0.122) q[4];\nh q[4];\nh q[5];\nrz(0.122) q[5];\nh q[5];\nh q[6];\nrz(0.122) q[6];\nh q[6];\nh q[7];\nrz(0.122) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x5) q[6];\nrz(x7) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x9) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x9) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[3];\nrz(x14) q[4];\nrz(x6) q[5];\nrz(x14) q[6];\nrz(x15) q[7];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nh q[6];\nrz(x16) q[6];\nh q[6];\nh q[7];\nrz(x16) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x17) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x17) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x17) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x17) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x17) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x17) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x17) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x17) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x17) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x17) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x17) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x17) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x17) q[7];\ncx q[6], q[7];\nrz(x18) q[1];\nrz(x19) q[0];\nrz(x20) q[2];\nrz(x21) q[3];\nrz(x22) q[4];\nrz(x6) q[5];\nrz(x22) q[6];\nrz(x23) q[7];\nh q[0];\nrz(x24) q[0];\nh q[0];\nh q[1];\nrz(x24) q[1];\nh q[1];\nh q[2];\nrz(x24) q[2];\nh q[2];\nh q[3];\nrz(x24) q[3];\nh q[3];\nh q[4];\nrz(x24) q[4];\nh q[4];\nh q[5];\nrz(x24) q[5];\nh q[5];\nh q[6];\nrz(x24) q[6];\nh q[6];\nh q[7];\nrz(x24) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x25) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x25) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x25) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x25) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x25) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x25) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x25) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x25) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x25) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x25) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x25) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x25) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x25) q[7];\ncx q[6], q[7];\nrz(x26) q[1];\nrz(x27) q[0];\nrz(x28) q[2];\nrz(x29) q[3];\nrz(x30) q[4];\nrz(x6) q[5];\nrz(x30) q[6];\nrz(x31) q[7];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["dcc91cdbd34687cb4cde0159b3b69295","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 2}, {\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 4, \"source\": 1, \"target\": 3}, {\"capacity\": 5, \"source\": 1, \"target\": 4}, {\"capacity\": 6, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 6, \"source\": 3, \"target\": 2}, {\"capacity\": 6, \"source\": 3, \"target\": 4}]}","{\"states\": [62, 1], \"expectation_value\": -1.531547568443565, \"params\": [[-0.0455, 0.0458, 0.06860000000000001], [0.0713, 0.0086, -0.044000000000000004]], \"bitstrings\": [\"000001\", \"111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.023110989201895336, 0.027831702809345805], \"optimization_time\": 3.811333656311035}","-1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + -3.75 * Z(4) + 2.25 * Z(5) + 0.75 * Z(1) + 2.0 * Z(3)",1,6,3,"{\"smallest_eigenvalues\": [-16.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.0, \"smallest_bitstrings\": [\"111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.1365) q[0];\ncx q[2], q[0];\ncx q[0], q[4];\nrz(0.091) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(0.0455) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.2502) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.1365) q[1];\ncx q[2], q[1];\ncx q[4], q[1];\nrz(0.1137) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(0.1365) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.1365) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(0.091) q[3];\ncx q[1], q[3];\nrz(0.091) q[2];\nrz(0.0227) q[0];\nrz(0.3412) q[4];\nrz(-0.2047) q[5];\nrz(-0.0683) q[1];\nrz(-0.182) q[3];\nh q[0];\nrz(0.1426) q[0];\nh q[0];\nh q[1];\nrz(0.1426) q[1];\nh q[1];\nh q[2];\nrz(0.1426) q[2];\nh q[2];\nh q[3];\nrz(0.1426) q[3];\nh q[3];\nh q[4];\nrz(0.1426) q[4];\nh q[4];\nh q[5];\nrz(0.1426) q[5];\nh q[5];\ncx q[2], q[0];\nrz(-0.1374) q[0];\ncx q[2], q[0];\ncx q[0], q[4];\nrz(-0.0916) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(-0.0458) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.2519) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(-0.1374) q[1];\ncx q[2], q[1];\ncx q[4], q[1];\nrz(-0.1145) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(-0.1374) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.1374) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(-0.0916) q[3];\ncx q[1], q[3];\nrz(-0.0916) q[2];\nrz(-0.0229) q[0];\nrz(-0.3435) q[4];\nrz(0.2061) q[5];\nrz(0.0687) q[1];\nrz(0.1832) q[3];\nh q[0];\nrz(0.0172) q[0];\nh q[0];\nh q[1];\nrz(0.0172) q[1];\nh q[1];\nh q[2];\nrz(0.0172) q[2];\nh q[2];\nh q[3];\nrz(0.0172) q[3];\nh q[3];\nh q[4];\nrz(0.0172) q[4];\nh q[4];\nh q[5];\nrz(0.0172) q[5];\nh q[5];\ncx q[2], q[0];\nrz(-0.2058) q[0];\ncx q[2], q[0];\ncx q[0], q[4];\nrz(-0.1372) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(-0.0686) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.3773) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(-0.2058) q[1];\ncx q[2], q[1];\ncx q[4], q[1];\nrz(-0.1715) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(-0.2058) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.2058) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(-0.1372) q[3];\ncx q[1], q[3];\nrz(-0.1372) q[2];\nrz(-0.0343) q[0];\nrz(-0.5145) q[4];\nrz(0.3087) q[5];\nrz(0.1029) q[1];\nrz(0.2744) q[3];\nh q[0];\nrz(-0.088) q[0];\nh q[0];\nh q[1];\nrz(-0.088) q[1];\nh q[1];\nh q[2];\nrz(-0.088) q[2];\nh q[2];\nh q[3];\nrz(-0.088) q[3];\nh q[3];\nh q[4];\nrz(-0.088) q[4];\nh q[4];\nh q[5];\nrz(-0.088) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[4], q[1];\nrz(x4) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\nrz(x1) q[2];\nrz(x5) q[0];\nrz(x6) q[4];\nrz(x7) q[5];\nrz(x8) q[1];\nrz(x9) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x11) q[0];\ncx q[2], q[0];\ncx q[0], q[4];\nrz(x12) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(x13) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x14) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x11) q[1];\ncx q[2], q[1];\ncx q[4], q[1];\nrz(x15) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x11) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x11) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x12) q[3];\ncx q[1], q[3];\nrz(x12) q[2];\nrz(x16) q[0];\nrz(x17) q[4];\nrz(x18) q[5];\nrz(x19) q[1];\nrz(x20) q[3];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x22) q[0];\ncx q[2], q[0];\ncx q[0], q[4];\nrz(x23) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(x24) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x25) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x22) q[1];\ncx q[2], q[1];\ncx q[4], q[1];\nrz(x26) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x22) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x22) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x23) q[3];\ncx q[1], q[3];\nrz(x23) q[2];\nrz(x27) q[0];\nrz(x28) q[4];\nrz(x29) q[5];\nrz(x30) q[1];\nrz(x31) q[3];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["69813e7e1ac3357c75564eae7cbbd456","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}, {\"id\": 13}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 11, \"target\": 12}, {\"source\": 11, \"target\": 13}]}","{\"states\": [8191, 8063], \"expectation_value\": -16.314668036931145, \"params\": [[[-1.1919, 2.3445], [-0.0031000000000000003, 0.7685000000000001], [0.0029000000000000002, -0.0032], [0.0018000000000000002, 0.0021000000000000003], [-0.0028, 0.0021000000000000003], [1.6664, -0.0018000000000000002], [0.0017000000000000001, 0.002], [0.0021000000000000003, 0.0019], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.0018000000000000002], [0.0002, 0.002], [-0.0024000000000000002, 0.0026000000000000003]]], \"bitstrings\": [\"0000000000000\", \"0000010000000\"], \"total_optimization_steps\": 240, \"probabilities\": [0.28137508816644013, 0.3407818369556173], \"optimization_time\": 12.045633316040039}","-1.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(11)) + -2.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(10)) + -2.0 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(12)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * Z(6) + -1.5 * Z(0) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(11) + 0.5 * Z(10) + 0.5 * Z(12) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4)",15,13,1,"{\"smallest_eigenvalues\": [-19.0, -19.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -18.0, \"smallest_bitstrings\": [\"1000011000000\", \"0000010000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(-1.1919) q[0];\nry(-0.0031) q[1];\nry(0.0029) q[2];\nry(0.0018) q[3];\nry(-0.0028) q[4];\nry(1.6664) q[5];\nry(0.0017) q[6];\nry(0.0021) q[7];\nry(0.0021) q[8];\nry(0.0021) q[9];\nry(0.0021) q[10];\nry(0.0002) q[11];\nry(-0.0024) q[12];\ncx q[12], q[0];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(2.3445) q[0];\nry(0.7685) q[1];\nry(-0.0032) q[2];\nry(0.0021) q[3];\nry(0.0021) q[4];\nry(-0.0018) q[5];\nry(0.002) q[6];\nry(0.0019) q[7];\nry(0.002) q[8];\nry(0.002) q[9];\nry(0.0018) q[10];\nry(0.002) q[11];\nry(0.0026) q[12];\ncx q[12], q[11];\ncx q[0], q[12];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x7) q[8];\nry(x7) q[9];\nry(x7) q[10];\nry(x8) q[11];\nry(x9) q[12];\ncx q[12], q[0];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x7) q[3];\nry(x7) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\nry(x14) q[8];\nry(x14) q[9];\nry(x3) q[10];\nry(x14) q[11];\nry(x16) q[12];\ncx q[12], q[11];\ncx q[0], q[12];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","{\"node\": 1}","{\"circuits\": [], \"gradients\": []}"]
["a9df2c16e7d96c32af9751f0e1a9f46a","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [1139, 1147], \"expectation_value\": -1.171272681484499, \"params\": [0.7998000000000001, 0.8067000000000001, 0.2919, 0.2911, 0.0025, 0.0023, 0.6551, 0.6566000000000001, 0.8046000000000001, 0.8016000000000001, 0.8103, 0.8084, 0.798, 0.8023, 0.7973, 0.7973, 0.553, 0.5526, 0.8067000000000001, 0.8078000000000001, 0.8004, 0.799, 0.0131, 0.0058000000000000005, 0.054900000000000004, 0.0001, -0.1976, 0.0054, 0.5513, 0.008400000000000001, 0.068, 0.0045000000000000005, 0.0045000000000000005, 0.0012000000000000001, 0.0045000000000000005, 0.0089, -0.0008, 0.0082, -0.011000000000000001, 0.0046, 0.028300000000000002, 0.0006000000000000001, 0.0013000000000000002, 0.0094], \"bitstrings\": [\"01110001100\", \"01110000100\"], \"total_optimization_steps\": 80, \"probabilities\": [0.003954901998946417, 0.004147601200559228], \"optimization_time\": 11.030267715454102}","0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(3) @ Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.03125 * (Z(0) @ Z(2)) + 0.03125 * (Z(5) @ Z(0)) + 0.03125 * (Z(7) @ Z(0)) + 0.03125 * (Z(9) @ Z(0)) + 0.03125 * (Z(10) @ Z(0)) + 0.03125 * (Z(5) @ Z(2)) + 0.03125 * (Z(7) @ Z(2)) + 0.03125 * (Z(9) @ Z(2)) + 0.03125 * (Z(10) @ Z(2)) + 0.03125 * (Z(5) @ Z(7)) + 0.03125 * (Z(5) @ Z(9)) + 0.03125 * (Z(5) @ Z(10)) + 0.03125 * (Z(9) @ Z(7)) + 0.03125 * (Z(10) @ Z(7)) + 0.03125 * (Z(9) @ Z(10)) + -0.03125 * (Z(5) @ Z(0) @ Z(2)) + -0.03125 * (Z(0) @ Z(7) @ Z(2)) + -0.03125 * (Z(9) @ Z(0) @ Z(2)) + -0.03125 * (Z(0) @ Z(10) @ Z(2)) + -0.03125 * (Z(5) @ Z(7) @ Z(0)) + -0.03125 * (Z(5) @ Z(9) @ Z(0)) + -0.03125 * (Z(5) @ Z(10) @ Z(0)) + -0.03125 * (Z(9) @ Z(7) @ Z(0)) + -0.03125 * (Z(10) @ Z(7) @ Z(0)) + -0.03125 * (Z(9) @ Z(10) @ Z(0)) + -0.03125 * (Z(5) @ Z(7) @ Z(2)) + -0.03125 * (Z(5) @ Z(9) @ Z(2)) + -0.03125 * (Z(5) @ Z(10) @ Z(2)) + -0.03125 * (Z(9) @ Z(7) @ Z(2)) + -0.03125 * (Z(10) @ Z(7) @ Z(2)) + -0.03125 * (Z(9) @ Z(10) @ Z(2)) + -0.03125 * (Z(5) @ Z(9) @ Z(7)) + -0.03125 * (Z(10) @ Z(5) @ Z(7)) + -0.03125 * (Z(5) @ Z(9) @ Z(10)) + -0.03125 * (Z(10) @ Z(9) @ Z(7)) + 0.03125 * (Z(5) @ Z(0) @ Z(7) @ Z(2)) + 0.03125 * (Z(5) @ Z(9) @ Z(0) @ Z(2)) + 0.03125 * (Z(5) @ Z(0) @ Z(10) @ Z(2)) + 0.03125 * (Z(0) @ Z(9) @ Z(7) @ Z(2)) + 0.03125 * (Z(10) @ Z(0) @ Z(7) @ Z(2)) + 0.03125 * (Z(0) @ Z(9) @ Z(10) @ Z(2)) + 0.03125 * (Z(5) @ Z(9) @ Z(7) @ Z(0)) + 0.03125 * (Z(10) @ Z(5) @ Z(7) @ Z(0)) + 0.03125 * (Z(5) @ Z(9) @ Z(10) @ Z(0)) + 0.03125 * (Z(10) @ Z(9) @ Z(7) @ Z(0)) + 0.03125 * (Z(5) @ Z(9) @ Z(7) @ Z(2)) + 0.03125 * (Z(10) @ Z(5) @ Z(7) @ Z(2)) + 0.03125 * (Z(5) @ Z(9) @ Z(10) @ Z(2)) + 0.03125 * (Z(10) @ Z(9) @ Z(7) @ Z(2)) + 0.03125 * (Z(10) @ Z(5) @ Z(9) @ Z(7)) + -0.03125 * (Z(2) @ Z(9) @ Z(0) @ Z(5) @ Z(7)) + -0.03125 * (Z(2) @ Z(10) @ Z(0) @ Z(5) @ Z(7)) + -0.03125 * (Z(2) @ Z(10) @ Z(9) @ Z(0) @ Z(5)) + -0.03125 * (Z(2) @ Z(10) @ Z(9) @ Z(0) @ Z(7)) + -0.03125 * (Z(10) @ Z(9) @ Z(0) @ Z(5) @ Z(7)) + -0.03125 * (Z(2) @ Z(10) @ Z(9) @ Z(5) @ Z(7)) + 0.03125 * (Z(2) @ Z(10) @ Z(9) @ Z(0) @ Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.25 * (Z(8) @ Z(6)) + 0.25 * (Z(10) @ Z(6)) + 0.25 * (Z(8) @ Z(10)) + -0.25 * (Z(10) @ Z(8) @ Z(6)) + -0.03125 * Z(0) + -0.5 * Z(1) + -0.53125 * Z(2) + -0.125 * Z(3) + -0.125 * Z(4) + 0.34375 * Z(5) + 0.125 * Z(6) + -0.03125 * Z(7) + -0.25 * Z(8) + -0.03125 * Z(9) + 0.21875 * Z(10)",13,11,1,"{\"smallest_eigenvalues\": [-4.90625], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.90625, \"smallest_bitstrings\": [\"01110000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.7998) q[0];\nry(0.2919) q[1];\nry(0.0025) q[2];\nry(0.6551) q[3];\nry(0.8046) q[4];\nry(0.8103) q[5];\nry(0.798) q[6];\nry(0.7973) q[7];\nry(0.553) q[8];\nry(0.8067) q[9];\nry(0.8004) q[10];\ncrz(0.0131) q[10], q[0];\ncrz(0.0013) q[9], q[10];\ncrz(0.0283) q[8], q[9];\ncrz(-0.011) q[7], q[8];\ncrz(-0.0008) q[6], q[7];\ncrz(0.0045) q[5], q[6];\ncrz(0.0045) q[4], q[5];\ncrz(0.068) q[3], q[4];\ncrz(0.5513) q[2], q[3];\ncrz(-0.1976) q[1], q[2];\ncrz(0.0549) q[0], q[1];\nry(0.8067) q[0];\nry(0.2911) q[1];\nry(0.0023) q[2];\nry(0.6566) q[3];\nry(0.8016) q[4];\nry(0.8084) q[5];\nry(0.8023) q[6];\nry(0.7973) q[7];\nry(0.5526) q[8];\nry(0.8078) q[9];\nry(0.799) q[10];\ncrz(0.0058) q[10], q[9];\ncrz(0.0001) q[0], q[10];\ncrz(0.0054) q[0], q[1];\ncrz(0.0084) q[1], q[2];\ncrz(0.0045) q[2], q[3];\ncrz(0.0012) q[3], q[4];\ncrz(0.0089) q[4], q[5];\ncrz(0.0082) q[5], q[6];\ncrz(0.0046) q[6], q[7];\ncrz(0.0006) q[7], q[8];\ncrz(0.0094) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrz(x11) q[10], q[0];\ncrz(x12) q[9], q[10];\ncrz(x13) q[8], q[9];\ncrz(x14) q[7], q[8];\ncrz(x15) q[6], q[7];\ncrz(x16) q[5], q[6];\ncrz(x16) q[4], q[5];\ncrz(x17) q[3], q[4];\ncrz(x18) q[2], q[3];\ncrz(x19) q[1], q[2];\ncrz(x20) q[0], q[1];\nry(x9) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x7) q[7];\nry(x27) q[8];\nry(x28) q[9];\nry(x29) q[10];\ncrz(x30) q[10], q[9];\ncrz(x31) q[0], q[10];\ncrz(x32) q[0], q[1];\ncrz(x33) q[1], q[2];\ncrz(x16) q[2], q[3];\ncrz(x34) q[3], q[4];\ncrz(x35) q[4], q[5];\ncrz(x36) q[5], q[6];\ncrz(x37) q[6], q[7];\ncrz(x38) q[7], q[8];\ncrz(x39) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["2933316839893753680","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[8, 6], [0, 2, 4], [1, 3, 9], [9, 4, 7], [5, 6], [1, 4, 5], [0, 1, 2, 3, 5, 7, 8], [9, 3, 4], [9, 2, 5, 7], [0, 10, 3], [0, 4, 5, 9, 10], [8, 1, 10, 4], [10, 2, 6, 7], [1, 2, 3, 5, 7, 8, 10], [2, 4, 5, 7]]}","{\"states\": [423, 487], \"expectation_value\": -3.7023587601803154, \"params\": [0.162, 0.16160000000000002, 0.1636, 0.1721, 1.5797, 1.5679, 1.5730000000000002, 1.5724, 0.8524, 0.8541000000000001, 1.5698, 1.5675000000000001, 0.0031000000000000003, 0.0029000000000000002, 0.257, 0.3538, 1.5727, 1.5752000000000002, 1.5696, 1.5677, 1.5769, 1.5705, 0.0189, 0.0076, -0.883, 0.0004, 0.004200000000000001, 0.0063, -0.0029000000000000002, 0.0085, 0.0031000000000000003, 0.0049, 0.0026000000000000003, 0.0055000000000000005, 0.0035, 0.0015, -1.0063, 0.0014, 0.0038, 0.0054, -0.0021000000000000003, 0.007200000000000001, 0.0029000000000000002, 0.0077], \"bitstrings\": [\"11001011000\", \"11000011000\"], \"total_optimization_steps\": 200, \"probabilities\": [0.3728559667619823, 0.48952310040914954], \"optimization_time\": 29.23391342163086}","0.5 * (Z(8) @ Z(6)) + 0.023809523809523808 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.047619047619047616 * (Z(2) @ Z(8)) + 0.19047619047619047 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(2)) + 0.13095238095238093 * (Z(1) @ Z(8)) + 0.023809523809523808 * (Z(1) @ Z(0)) + 0.047619047619047616 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(4)) + 0.047619047619047616 * (Z(3) @ Z(8)) + 0.19047619047619047 * (Z(3) @ Z(0)) + 0.047619047619047616 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.21428571428571427 * (Z(3) @ Z(1)) + 0.05 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(2)) + 0.3833333333333333 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.047619047619047616 * (Z(7) @ Z(8)) + 0.023809523809523808 * (Z(7) @ Z(0)) + 0.2976190476190476 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(4)) + 0.047619047619047616 * (Z(7) @ Z(1)) + 0.047619047619047616 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(9)) + 0.5 * (Z(5) @ Z(6)) + 0.047619047619047616 * (Z(5) @ Z(8)) + 0.07380952380952381 * (Z(5) @ Z(0)) + 0.21428571428571425 * (Z(5) @ Z(2)) + 0.3 * (Z(5) @ Z(4)) + 0.21428571428571427 * (Z(5) @ Z(1)) + 0.047619047619047616 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(9)) + 0.21428571428571425 * (Z(5) @ Z(7)) + 0.08333333333333333 * (Z(10) @ Z(6)) + 0.10714285714285714 * (Z(10) @ Z(8)) + 0.21666666666666667 * (Z(10) @ Z(0)) + 0.10714285714285714 * (Z(10) @ Z(2)) + 0.13333333333333333 * (Z(10) @ Z(4)) + 0.10714285714285714 * (Z(10) @ Z(1)) + 0.19047619047619047 * (Z(10) @ Z(3)) + 0.05 * (Z(10) @ Z(9)) + 0.10714285714285714 * (Z(10) @ Z(7)) + 0.07380952380952381 * (Z(10) @ Z(5)) + 0.125 * Z(6) + 0.267857142857143 * Z(8) + 0.5047619047619047 * Z(0) + 0.6845238095238095 * Z(2) + 1.016666666666667 * Z(4) + 0.6011904761904762 * Z(1) + 0.642857142857143 * Z(3) + 0.725 * Z(9) + 0.6845238095238095 * Z(7) + 0.6595238095238094 * Z(5) + 0.588095238095238 * Z(10)",13,11,1,"{\"smallest_eigenvalues\": [-4.116666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.000000000000001, \"smallest_bitstrings\": [\"11000011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.162) q[0];\nry(0.1636) q[1];\nry(1.5797) q[2];\nry(1.573) q[3];\nry(0.8524) q[4];\nry(1.5698) q[5];\nry(0.0031) q[6];\nry(0.257) q[7];\nry(1.5727) q[8];\nry(1.5696) q[9];\nry(1.5769) q[10];\ncrz(0.0189) q[10], q[0];\ncrz(0.0029) q[9], q[10];\ncrz(-0.0021) q[8], q[9];\ncrz(0.0038) q[7], q[8];\ncrz(-1.0063) q[6], q[7];\ncrz(0.0035) q[5], q[6];\ncrz(0.0026) q[4], q[5];\ncrz(0.0031) q[3], q[4];\ncrz(-0.0029) q[2], q[3];\ncrz(0.0042) q[1], q[2];\ncrz(-0.883) q[0], q[1];\nry(0.1616) q[0];\nry(0.1721) q[1];\nry(1.5679) q[2];\nry(1.5724) q[3];\nry(0.8541) q[4];\nry(1.5675) q[5];\nry(0.0029) q[6];\nry(0.3538) q[7];\nry(1.5752) q[8];\nry(1.5677) q[9];\nry(1.5705) q[10];\ncrz(0.0076) q[10], q[9];\ncrz(0.0004) q[0], q[10];\ncrz(0.0063) q[0], q[1];\ncrz(0.0085) q[1], q[2];\ncrz(0.0049) q[2], q[3];\ncrz(0.0055) q[3], q[4];\ncrz(0.0015) q[4], q[5];\ncrz(0.0014) q[5], q[6];\ncrz(0.0054) q[6], q[7];\ncrz(0.0072) q[7], q[8];\ncrz(0.0077) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrz(x11) q[10], q[0];\ncrz(x12) q[9], q[10];\ncrz(x13) q[8], q[9];\ncrz(x14) q[7], q[8];\ncrz(x15) q[6], q[7];\ncrz(x16) q[5], q[6];\ncrz(x17) q[4], q[5];\ncrz(x6) q[3], q[4];\ncrz(x18) q[2], q[3];\ncrz(x19) q[1], q[2];\ncrz(x20) q[0], q[1];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x26) q[5];\nry(x12) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\nry(x30) q[10];\ncrz(x31) q[10], q[9];\ncrz(x32) q[0], q[10];\ncrz(x33) q[0], q[1];\ncrz(x34) q[1], q[2];\ncrz(x35) q[2], q[3];\ncrz(x36) q[3], q[4];\ncrz(x37) q[4], q[5];\ncrz(x38) q[5], q[6];\ncrz(x39) q[6], q[7];\ncrz(x40) q[7], q[8];\ncrz(x41) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["df4ecb6ebc48c9049ce6597f2a05ee78","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 1, \"target\": 7}, {\"weight\": 20, \"source\": 1, \"target\": 6}, {\"weight\": 18, \"source\": 1, \"target\": 5}, {\"weight\": 17, \"source\": 1, \"target\": 3}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 16, \"source\": 2, \"target\": 7}, {\"weight\": 10, \"source\": 4, \"target\": 5}, {\"weight\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [246, 244], \"expectation_value\": -9.255437475911567, \"params\": [[-0.035], [0.048600000000000004]], \"bitstrings\": [\"100001001\", \"100001011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0032254612952172103, 0.0034854804744819034], \"optimization_time\": 3.6021711826324463}","4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(4)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 22.5 * Z(2) + 9.5 * Z(0) + 24.5 * Z(4) + 23.5 * Z(3) + 22.0 * Z(1) + 4.0 * Z(5) + 12.5 * Z(6) + 0.5 * Z(7) + 5.0 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-99.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -91.5, \"smallest_bitstrings\": [\"100001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(-0.315) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(-0.315) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(-0.315) q[4];\ncx q[0], q[4];\ncx q[2], q[3];\nrz(-0.315) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.315) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(-0.315) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\nrz(-0.315) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.315) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(-0.315) q[1];\ncx q[4], q[1];\ncx q[3], q[1];\nrz(-0.315) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.315) q[5];\ncx q[1], q[5];\ncx q[4], q[6];\nrz(-0.315) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.315) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.315) q[7];\ncx q[2], q[7];\ncx q[4], q[8];\nrz(-0.315) q[8];\ncx q[4], q[8];\ncx q[3], q[8];\nrz(-0.315) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(-0.315) q[8];\ncx q[6], q[8];\nrz(-1.575) q[2];\nrz(-0.665) q[0];\nrz(-1.715) q[4];\nrz(-1.645) q[3];\nrz(-1.54) q[1];\nrz(-0.28) q[5];\nrz(-0.875) q[6];\nrz(-0.035) q[7];\nrz(-0.35) q[8];\nh q[0];\nrz(0.0972) q[0];\nh q[0];\nh q[1];\nrz(0.0972) q[1];\nh q[1];\nh q[2];\nrz(0.0972) q[2];\nh q[2];\nh q[3];\nrz(0.0972) q[3];\nh q[3];\nh q[4];\nrz(0.0972) q[4];\nh q[4];\nh q[5];\nrz(0.0972) q[5];\nh q[5];\nh q[6];\nrz(0.0972) q[6];\nh q[6];\nh q[7];\nrz(0.0972) q[7];\nh q[7];\nh q[8];\nrz(0.0972) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x3) q[4];\nrz(x4) q[3];\nrz(x5) q[1];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["6444895837937385223","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 2], [0, 1, 3], [2, 4], [2, 5]]}","{\"states\": [51, 28], \"expectation_value\": -0.590437106689168, \"params\": [[0.36710000000000004], [-0.3662]], \"bitstrings\": [\"001100\", \"100011\"], \"total_optimization_steps\": 40, \"probabilities\": [0.04043545537504582, 0.040603748606629624], \"optimization_time\": 1.4189982414245605}","0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-1.8333333333333335], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.833333333333333, \"smallest_bitstrings\": [\"100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.3671) q[0];\ncx q[2], q[0];\ncx q[0], q[1];\nrz(0.1224) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(0.1224) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(0.1224) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.3671) q[4];\ncx q[2], q[4];\ncx q[2], q[5];\nrz(0.3671) q[5];\ncx q[2], q[5];\nrz(0) q[2];\nrz(0.1224) q[0];\nrz(0.1224) q[1];\nrz(0.1224) q[3];\nrz(0) q[4];\nrz(0) q[5];\nh q[0];\nrz(-0.7324) q[0];\nh q[0];\nh q[1];\nrz(-0.7324) q[1];\nh q[1];\nh q[2];\nrz(-0.7324) q[2];\nh q[2];\nh q[3];\nrz(-0.7324) q[3];\nh q[3];\nh q[4];\nrz(-0.7324) q[4];\nh q[4];\nh q[5];\nrz(-0.7324) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\nrz(x2) q[2];\nrz(x1) q[0];\nrz(x1) q[1];\nrz(x1) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["9a4ba729115cab9e89cb59ee0f761092","community_detection","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 2}, {\"weight\": 1, \"source\": 0, \"target\": 3}, {\"weight\": 1, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 1, \"target\": 3}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 1, \"source\": 3, \"target\": 4}, {\"weight\": 1, \"source\": 4, \"target\": 6}, {\"weight\": 1, \"source\": 4, \"target\": 7}, {\"weight\": 1, \"source\": 5, \"target\": 6}, {\"weight\": 1, \"source\": 5, \"target\": 7}]}","{\"states\": [43605, 21930], \"expectation_value\": -0.02351808060435834, \"params\": [[-0.07780000000000001], [0.07680000000000001]], \"bitstrings\": [\"0101010110101010\", \"1010101001010101\"], \"total_optimization_steps\": 10, \"probabilities\": [1.677255175800303e-05, 1.677255175800304e-05], \"optimization_time\": 13.407737493515015}","0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0008749999999999999 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0008749999999999999 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00075 * (Z(6) @ Z(0)) + -0.00075 * (Z(6) @ Z(2)) + -0.0005000000000000001 * (Z(6) @ Z(4)) + -0.00075 * (Z(7) @ Z(1)) + -0.00075 * (Z(7) @ Z(3)) + -0.0005000000000000001 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.000375 * (Z(8) @ Z(0)) + 0.000375 * (Z(8) @ Z(2)) + 0.0005625000000000001 * (Z(8) @ Z(4)) + -0.0005000000000000001 * (Z(8) @ Z(6)) + 0.000375 * (Z(9) @ Z(1)) + 0.000375 * (Z(9) @ Z(3)) + 0.0005625000000000001 * (Z(9) @ Z(5)) + -0.0005000000000000001 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + 0.00025000000000000006 * (Z(10) @ Z(0)) + 0.00025000000000000006 * (Z(10) @ Z(2)) + 0.000375 * (Z(10) @ Z(4)) + 0.0005000000000000001 * (Z(10) @ Z(6)) + 0.000375 * (Z(10) @ Z(8)) + 0.00025000000000000006 * (Z(11) @ Z(1)) + 0.00025000000000000006 * (Z(11) @ Z(3)) + 0.000375 * (Z(11) @ Z(5)) + 0.0005000000000000001 * (Z(11) @ Z(7)) + 0.000375 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + 0.00025000000000000006 * (Z(12) @ Z(0)) + 0.00025000000000000006 * (Z(12) @ Z(2)) + 0.000375 * (Z(12) @ Z(4)) + 0.0005000000000000001 * (Z(12) @ Z(6)) + -0.0008749999999999999 * (Z(12) @ Z(8)) + -0.0010000000000000002 * (Z(12) @ Z(10)) + 0.00025000000000000006 * (Z(13) @ Z(1)) + 0.00025000000000000006 * (Z(13) @ Z(3)) + 0.000375 * (Z(13) @ Z(5)) + 0.0005000000000000001 * (Z(13) @ Z(7)) + -0.0008749999999999999 * (Z(13) @ Z(9)) + -0.0010000000000000002 * (Z(13) @ Z(11)) + 0.25 * (Z(13) @ Z(12)) + 0.00025000000000000006 * (Z(14) @ Z(0)) + 0.00025000000000000006 * (Z(14) @ Z(2)) + 0.000375 * (Z(14) @ Z(4)) + 0.0005000000000000001 * (Z(14) @ Z(6)) + -0.0008749999999999999 * (Z(14) @ Z(8)) + -0.0010000000000000002 * (Z(14) @ Z(10)) + 0.00025000000000000006 * (Z(14) @ Z(12)) + 0.00025000000000000006 * (Z(15) @ Z(1)) + 0.00025000000000000006 * (Z(15) @ Z(3)) + 0.000375 * (Z(15) @ Z(5)) + 0.0005000000000000001 * (Z(15) @ Z(7)) + -0.0008749999999999999 * (Z(15) @ Z(9)) + -0.0010000000000000002 * (Z(15) @ Z(11)) + 0.00025000000000000006 * (Z(15) @ Z(13)) + 0.25 * (Z(15) @ Z(14)) + -0.000250000000000028 * Z(1) + -0.000250000000000028 * Z(0) + -0.000250000000000028 * Z(2) + -0.000250000000000028 * Z(3) + -0.0005625000000000491 * Z(4) + -0.0005625000000000491 * Z(5) + -0.0010000000000000009 * Z(6) + -0.0010000000000000009 * Z(7) + -0.0005624999999999936 * Z(8) + -0.0005624999999999936 * Z(9) + -0.000250000000000028 * Z(10) + -0.000250000000000028 * Z(11) + -0.0002500000000000002 * Z(12) + -0.0002500000000000002 * Z(13) + -0.0002500000000000002 * Z(14) + -0.0002500000000000002 * Z(15)",5,16,1,"{\"smallest_eigenvalues\": [-2.023124999999981], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.023124999999973, \"smallest_bitstrings\": [\"1010101001010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(-0.0389) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0389) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.0001) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0001) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.0001) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.0001) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0389) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0.0001) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0001) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.0001) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(0.0001) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.0001) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.0001) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0389) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(-0.0001) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(-0.0001) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(-0.0001) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(0.0001) q[8];\ncx q[6], q[8];\ncx q[1], q[9];\nrz(-0.0001) q[9];\ncx q[1], q[9];\ncx q[3], q[9];\nrz(-0.0001) q[9];\ncx q[3], q[9];\ncx q[5], q[9];\nrz(-0.0001) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(0.0001) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(-0.0389) q[9];\ncx q[8], q[9];\ncx q[0], q[10];\nrz(0) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(0) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(-0.0001) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(-0.0001) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(-0.0001) q[10];\ncx q[8], q[10];\ncx q[1], q[11];\nrz(0) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(0) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(-0.0001) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(-0.0001) q[11];\ncx q[7], q[11];\ncx q[9], q[11];\nrz(-0.0001) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.0389) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(0) q[12];\ncx q[0], q[12];\ncx q[2], q[12];\nrz(0) q[12];\ncx q[2], q[12];\ncx q[4], q[12];\nrz(-0.0001) q[12];\ncx q[4], q[12];\ncx q[6], q[12];\nrz(-0.0001) q[12];\ncx q[6], q[12];\ncx q[8], q[12];\nrz(0.0001) q[12];\ncx q[8], q[12];\ncx q[10], q[12];\nrz(0.0002) q[12];\ncx q[10], q[12];\ncx q[1], q[13];\nrz(0) q[13];\ncx q[1], q[13];\ncx q[3], q[13];\nrz(0) q[13];\ncx q[3], q[13];\ncx q[5], q[13];\nrz(-0.0001) q[13];\ncx q[5], q[13];\ncx q[7], q[13];\nrz(-0.0001) q[13];\ncx q[7], q[13];\ncx q[9], q[13];\nrz(0.0001) q[13];\ncx q[9], q[13];\ncx q[11], q[13];\nrz(0.0002) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(-0.0389) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(0) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(0) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(-0.0001) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(-0.0001) q[14];\ncx q[6], q[14];\ncx q[8], q[14];\nrz(0.0001) q[14];\ncx q[8], q[14];\ncx q[10], q[14];\nrz(0.0002) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(0) q[14];\ncx q[12], q[14];\ncx q[1], q[15];\nrz(0) q[15];\ncx q[1], q[15];\ncx q[3], q[15];\nrz(0) q[15];\ncx q[3], q[15];\ncx q[5], q[15];\nrz(-0.0001) q[15];\ncx q[5], q[15];\ncx q[7], q[15];\nrz(-0.0001) q[15];\ncx q[7], q[15];\ncx q[9], q[15];\nrz(0.0001) q[15];\ncx q[9], q[15];\ncx q[11], q[15];\nrz(0.0002) q[15];\ncx q[11], q[15];\ncx q[13], q[15];\nrz(0) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(-0.0389) q[15];\ncx q[14], q[15];\nrz(0) q[1];\nrz(0) q[0];\nrz(0) q[2];\nrz(0) q[3];\nrz(0.0001) q[4];\nrz(0.0001) q[5];\nrz(0.0002) q[6];\nrz(0.0002) q[7];\nrz(0.0001) q[8];\nrz(0.0001) q[9];\nrz(0) q[10];\nrz(0) q[11];\nrz(0) q[12];\nrz(0) q[13];\nrz(0) q[14];\nrz(0) q[15];\nh q[0];\nrz(0.1536) q[0];\nh q[0];\nh q[1];\nrz(0.1536) q[1];\nh q[1];\nh q[2];\nrz(0.1536) q[2];\nh q[2];\nh q[3];\nrz(0.1536) q[3];\nh q[3];\nh q[4];\nrz(0.1536) q[4];\nh q[4];\nh q[5];\nrz(0.1536) q[5];\nh q[5];\nh q[6];\nrz(0.1536) q[6];\nh q[6];\nh q[7];\nrz(0.1536) q[7];\nh q[7];\nh q[8];\nrz(0.1536) q[8];\nh q[8];\nh q[9];\nrz(0.1536) q[9];\nh q[9];\nh q[10];\nrz(0.1536) q[10];\nh q[10];\nh q[11];\nrz(0.1536) q[11];\nh q[11];\nh q[12];\nrz(0.1536) q[12];\nh q[12];\nh q[13];\nrz(0.1536) q[13];\nh q[13];\nh q[14];\nrz(0.1536) q[14];\nh q[14];\nh q[15];\nrz(0.1536) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x2) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x2) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x2) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x3) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(x3) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(x3) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x2) q[8];\ncx q[6], q[8];\ncx q[1], q[9];\nrz(x3) q[9];\ncx q[1], q[9];\ncx q[3], q[9];\nrz(x3) q[9];\ncx q[3], q[9];\ncx q[5], q[9];\nrz(x3) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(x2) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(x0) q[9];\ncx q[8], q[9];\ncx q[0], q[10];\nrz(x1) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(x1) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x3) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x3) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x3) q[10];\ncx q[8], q[10];\ncx q[1], q[11];\nrz(x1) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(x1) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(x3) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(x3) q[11];\ncx q[7], q[11];\ncx q[9], q[11];\nrz(x3) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x1) q[12];\ncx q[0], q[12];\ncx q[2], q[12];\nrz(x1) q[12];\ncx q[2], q[12];\ncx q[4], q[12];\nrz(x3) q[12];\ncx q[4], q[12];\ncx q[6], q[12];\nrz(x3) q[12];\ncx q[6], q[12];\ncx q[8], q[12];\nrz(x2) q[12];\ncx q[8], q[12];\ncx q[10], q[12];\nrz(x4) q[12];\ncx q[10], q[12];\ncx q[1], q[13];\nrz(x1) q[13];\ncx q[1], q[13];\ncx q[3], q[13];\nrz(x1) q[13];\ncx q[3], q[13];\ncx q[5], q[13];\nrz(x3) q[13];\ncx q[5], q[13];\ncx q[7], q[13];\nrz(x3) q[13];\ncx q[7], q[13];\ncx q[9], q[13];\nrz(x2) q[13];\ncx q[9], q[13];\ncx q[11], q[13];\nrz(x4) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(x1) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(x1) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(x3) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(x3) q[14];\ncx q[6], q[14];\ncx q[8], q[14];\nrz(x2) q[14];\ncx q[8], q[14];\ncx q[10], q[14];\nrz(x4) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x1) q[14];\ncx q[12], q[14];\ncx q[1], q[15];\nrz(x1) q[15];\ncx q[1], q[15];\ncx q[3], q[15];\nrz(x1) q[15];\ncx q[3], q[15];\ncx q[5], q[15];\nrz(x3) q[15];\ncx q[5], q[15];\ncx q[7], q[15];\nrz(x3) q[15];\ncx q[7], q[15];\ncx q[9], q[15];\nrz(x2) q[15];\ncx q[9], q[15];\ncx q[11], q[15];\nrz(x4) q[15];\ncx q[11], q[15];\ncx q[13], q[15];\nrz(x1) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x0) q[15];\ncx q[14], q[15];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x1) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x4) q[6];\nrz(x4) q[7];\nrz(x2) q[8];\nrz(x2) q[9];\nrz(x1) q[10];\nrz(x1) q[11];\nrz(x1) q[12];\nrz(x1) q[13];\nrz(x1) q[14];\nrz(x1) q[15];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nh q[11];\nrz(x5) q[11];\nh q[11];\nh q[12];\nrz(x5) q[12];\nh q[12];\nh q[13];\nrz(x5) q[13];\nh q[13];\nh q[14];\nrz(x5) q[14];\nh q[14];\nh q[15];\nrz(x5) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"communities_size\": 4, \"number_of_communities\": 2}","{\"circuits\": [], \"gradients\": []}"]
["2c8d5f9e23ee6d88333a71ac770463ca","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 6}, {\"weight\": 4, \"source\": 1, \"target\": 7}, {\"weight\": 12, \"source\": 1, \"target\": 12}, {\"weight\": 15, \"source\": 1, \"target\": 14}, {\"weight\": 2, \"source\": 2, \"target\": 8}, {\"weight\": 12, \"source\": 2, \"target\": 11}, {\"weight\": 17, \"source\": 2, \"target\": 9}, {\"weight\": 10, \"source\": 3, \"target\": 9}, {\"weight\": 7, \"source\": 4, \"target\": 10}, {\"weight\": 1, \"source\": 5, \"target\": 11}, {\"weight\": 13, \"source\": 5, \"target\": 9}]}","{\"states\": [337, 849], \"expectation_value\": -117.39710597308836, \"params\": [[0.0024000000000000002, 0.1598, 0.7537, 0.1411, 0.8258000000000001, 0.0702, 0.8758, -0.0988, 0.0026000000000000003, -0.0723, 0.8048000000000001], [0.0024000000000000002, 0.7927000000000001, 0.9893000000000001, -0.20520000000000002, 0.8062, -0.07060000000000001, 0.8170000000000001, -0.0402, 0.0021000000000000003, -0.0092, 0.8139000000000001], [0.0023, 0.1383, 0.1573, -0.1126, 0.7417, -0.0818, 0.8211, 0.1985, 0.0024000000000000002, 0.1223, 0.8012], [0.0023, 0.9926, 0.9525, 0.38430000000000003, 0.794, 0.0845, 0.6316, 0.1801, 0.0024000000000000002, 0.0947, 0.7344]], \"bitstrings\": [\"11010101110\", \"10010101110\"], \"total_optimization_steps\": 100, \"probabilities\": [0.36698577042704617, 0.5615063824243438], \"optimization_time\": 29.856398344039917}","8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(10) @ Z(6)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(10)) + 2.0 * Z(3) + 6.0 * Z(1) + 7.5 * Z(2) + 14.0 * Z(4) + 24.5 * Z(6) + 1.0 * Z(5) + 5.0 * Z(7) + 14.5 * Z(10) + 0.5 * Z(9) + -12.5 * Z(0) + -12.5 * Z(8)",10,11,3,"{\"smallest_eigenvalues\": [-123.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -115.0, \"smallest_bitstrings\": [\"10010101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.0024) q[0];\nry(0.1598) q[1];\nry(0.7537) q[2];\nry(0.1411) q[3];\nry(0.8258) q[4];\nry(0.0702) q[5];\nry(0.8758) q[6];\nry(-0.0988) q[7];\nry(0.0026) q[8];\nry(-0.0723) q[9];\nry(0.8048) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.0024) q[0];\nry(0.7927) q[1];\nry(0.9893) q[2];\nry(-0.2052) q[3];\nry(0.8062) q[4];\nry(-0.0706) q[5];\nry(0.817) q[6];\nry(-0.0402) q[7];\nry(0.0021) q[8];\nry(-0.0092) q[9];\nry(0.8139) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.0023) q[0];\nry(0.1383) q[1];\nry(0.1573) q[2];\nry(-0.1126) q[3];\nry(0.7417) q[4];\nry(-0.0818) q[5];\nry(0.8211) q[6];\nry(0.1985) q[7];\nry(0.0024) q[8];\nry(0.1223) q[9];\nry(0.8012) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.0023) q[0];\nry(0.9926) q[1];\nry(0.9525) q[2];\nry(0.3843) q[3];\nry(0.794) q[4];\nry(0.0845) q[5];\nry(0.6316) q[6];\nry(0.1801) q[7];\nry(0.0024) q[8];\nry(0.0947) q[9];\nry(0.7344) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x0) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x17) q[7];\nry(x18) q[8];\nry(x19) q[9];\nry(x20) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x26) q[5];\nry(x27) q[6];\nry(x28) q[7];\nry(x0) q[8];\nry(x29) q[9];\nry(x30) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x21) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x0) q[8];\nry(x38) q[9];\nry(x39) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["f2268dbc2cd9e9d8be6517cd34bc9399","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 6, \"source\": 1, \"target\": 3}]}","{\"states\": [10, 5], \"expectation_value\": -0.22264524387252987, \"params\": [[-0.0502], [0.0644]], \"bitstrings\": [\"0101\", \"1010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.06595400298934176, 0.07191507312239326], \"optimization_time\": 1.1569836139678955}","-1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1)",1,4,1,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"1010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[2], q[0];\nrz(0.1255) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.1506) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(0.0251) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.1506) q[1];\ncx q[3], q[1];\nrz(0.1506) q[2];\nrz(0.0251) q[0];\nrz(0) q[3];\nrz(-0.1757) q[1];\nh q[0];\nrz(0.1288) q[0];\nh q[0];\nh q[1];\nrz(0.1288) q[1];\nh q[1];\nh q[2];\nrz(0.1288) q[2];\nh q[2];\nh q[3];\nrz(0.1288) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(x2) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x3) q[1];\ncx q[3], q[1];\nrz(x3) q[2];\nrz(x2) q[0];\nrz(x4) q[3];\nrz(x5) q[1];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","{\"source\": 0, \"sink\": 3}","{\"circuits\": [], \"gradients\": []}"]
["1d36f605f450bd24c53bed4c61ab6422","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}]}","{\"states\": [49055, 47007], \"expectation_value\": -18.703191821109062, \"params\": [0.806, 0.7529, 0.027200000000000002, 0.0109, 1.0808, 1.0627, -0.7095, -0.6938000000000001, 0.46880000000000005, 0.4762, 0.7092, 0.5065000000000001, 0.6518, 0.7105, 0.8388, 0.6243000000000001, 0.7761, 0.7741, -0.0193, 0.0181, 0.0002, 0.0016, 0.5164, 0.8899, 0.6184000000000001, 0.9939, 0.665, 0.6716000000000001, 0.6471, 0.6556000000000001, 0.7796000000000001, 0.5822, 0.7373000000000001, 0.8212, 0.030500000000000003, 0.031200000000000002, 0.658, 0.22030000000000002, -0.52, -0.38180000000000003, 0.5122, 0.4647, 0.6347, 0.9453, 0.9059, 0.8540000000000001, 0.7647, 0.8746, 0.7844, 0.7847000000000001, 0.022600000000000002, -0.0323, 0.0035, 0.0029000000000000002, 0.9888, 0.7392000000000001, 0.9657, 0.5091, 0.8478, 0.8662000000000001, 0.9256000000000001, 0.873, 0.6752, 1.0527, 0.34450000000000003, 0.2151, -0.16820000000000002, 0.12050000000000001, -0.6264000000000001, 0.26430000000000003, 0.687, 0.231, 0.8127000000000001, 0.6862, 0.6608, 0.48950000000000005, 0.2189, 0.4677, -0.0743, 0.46230000000000004, 0.3682, 0.2212, -0.025900000000000003, 0.2833, 0.6004, -0.004200000000000001, 0.7625000000000001, 0.6003000000000001, 0.1928, 0.7968000000000001, -0.0994, 0.16970000000000002, -0.1328, 0.6797000000000001, 0.0149, 0.6771, 0.2403, 0.1095, -0.1583, 0.2033, 1.0119, 0.0978, 0.47740000000000005, 1.0293, -0.5846, 0.0811, 0.5188, -0.4545, 0.1844, 0.0057, 0.0811, 0.09340000000000001, 0.2883, 0.27740000000000004, 0.0267, -0.1169, 0.27190000000000003, -0.0247, -0.5408000000000001, 0.7395, 0.08070000000000001, -0.38320000000000004, 0.306, 0.31980000000000003, 0.1938, 0.2566, 0.2023, -0.058600000000000006], \"bitstrings\": [\"0100000001100000\", \"0100100001100000\"], \"total_optimization_steps\": 110, \"probabilities\": [0.22633550638069927, 0.5042057977677611], \"optimization_time\": 192.3392457962036}","-0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(11) @ Z(3)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(12) @ Z(10)) + 0.5 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z(11)) + 0.5 * (Z(13) @ Z(8)) + 0.5 * (Z(13) @ Z(0)) + 1.0 * (Z(13) @ Z(12)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + 0.33333333333333337 * (Z(2) @ Z(1)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(11)) + 0.5 * (Z(14) @ Z(6)) + 0.5 * (Z(14) @ Z(7)) + -0.5 * (Z(14) @ Z(8)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(1)) + 0.5 * (Z(14) @ Z(2)) + -0.5 * (Z(9) @ Z(10)) + -0.5 * (Z(9) @ Z(11)) + -0.5 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(12)) + -0.5 * (Z(9) @ Z(13)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(2)) + -1.0 * (Z(9) @ Z(14)) + 0.5 * (Z(15) @ Z(10)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(12)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(15) @ Z(14)) + -0.5 * (Z(15) @ Z(9)) + 0.0 * Z(3) + 2.0 * Z(10) + 2.0 * Z(11) + 0.5 * Z(4) + 0.5 * Z(5) + 2.0 * Z(6) + 2.0 * Z(7) + 0.5 * Z(8) + 1.8333333333333335 * Z(0) + 4.5 * Z(12) + 4.5 * Z(13) + 1.166666666666667 * Z(1) + 1.166666666666667 * Z(2) + 4.0 * Z(14) + -4.0 * Z(9) + 2.5 * Z(15)",14,16,2,"{\"smallest_eigenvalues\": [-19.166666666666586], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.166666666666583, \"smallest_bitstrings\": [\"0100100001100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nry(0.806) q[0];\nry(0.0272) q[1];\nry(1.0808) q[2];\nry(-0.7095) q[3];\nry(0.4688) q[4];\nry(0.7092) q[5];\nry(0.6518) q[6];\nry(0.8388) q[7];\nry(0.7761) q[8];\nry(-0.0193) q[9];\nry(0.0002) q[10];\nry(0.5164) q[11];\nry(0.6184) q[12];\nry(0.665) q[13];\nry(0.6471) q[14];\nry(0.7796) q[15];\ncrx(0.3445) q[15], q[0];\ncrx(0.0149) q[14], q[15];\ncrx(-0.1328) q[13], q[14];\ncrx(-0.0994) q[12], q[13];\ncrx(0.1928) q[11], q[12];\ncrx(0.7625) q[10], q[11];\ncrx(0.6004) q[9], q[10];\ncrx(-0.0259) q[8], q[9];\ncrx(0.3682) q[7], q[8];\ncrx(-0.0743) q[6], q[7];\ncrx(0.2189) q[5], q[6];\ncrx(0.6608) q[4], q[5];\ncrx(0.8127) q[3], q[4];\ncrx(0.687) q[2], q[3];\ncrx(-0.6264) q[1], q[2];\ncrx(-0.1682) q[0], q[1];\nry(0.7529) q[0];\nry(0.0109) q[1];\nry(1.0627) q[2];\nry(-0.6938) q[3];\nry(0.4762) q[4];\nry(0.5065) q[5];\nry(0.7105) q[6];\nry(0.6243) q[7];\nry(0.7741) q[8];\nry(0.0181) q[9];\nry(0.0016) q[10];\nry(0.8899) q[11];\nry(0.9939) q[12];\nry(0.6716) q[13];\nry(0.6556) q[14];\nry(0.5822) q[15];\ncrx(0.2151) q[15], q[14];\ncrx(0.1205) q[0], q[15];\ncrx(0.2643) q[0], q[1];\ncrx(0.231) q[1], q[2];\ncrx(0.6862) q[2], q[3];\ncrx(0.4895) q[3], q[4];\ncrx(0.4677) q[4], q[5];\ncrx(0.4623) q[5], q[6];\ncrx(0.2212) q[6], q[7];\ncrx(0.2833) q[7], q[8];\ncrx(-0.0042) q[8], q[9];\ncrx(0.6003) q[9], q[10];\ncrx(0.7968) q[10], q[11];\ncrx(0.1697) q[11], q[12];\ncrx(0.6797) q[12], q[13];\ncrx(0.6771) q[13], q[14];\nry(0.7373) q[0];\nry(0.0305) q[1];\nry(0.658) q[2];\nry(-0.52) q[3];\nry(0.5122) q[4];\nry(0.6347) q[5];\nry(0.9059) q[6];\nry(0.7647) q[7];\nry(0.7844) q[8];\nry(0.0226) q[9];\nry(0.0035) q[10];\nry(0.9888) q[11];\nry(0.9657) q[12];\nry(0.8478) q[13];\nry(0.9256) q[14];\nry(0.6752) q[15];\ncrx(0.2403) q[15], q[0];\ncrx(0.2023) q[14], q[15];\ncrx(0.1938) q[13], q[14];\ncrx(0.306) q[12], q[13];\ncrx(0.0807) q[11], q[12];\ncrx(-0.5408) q[10], q[11];\ncrx(0.2719) q[9], q[10];\ncrx(0.0267) q[8], q[9];\ncrx(0.2883) q[7], q[8];\ncrx(0.0811) q[6], q[7];\ncrx(0.1844) q[5], q[6];\ncrx(0.5188) q[4], q[5];\ncrx(-0.5846) q[3], q[4];\ncrx(0.4774) q[2], q[3];\ncrx(1.0119) q[1], q[2];\ncrx(-0.1583) q[0], q[1];\nry(0.8212) q[0];\nry(0.0312) q[1];\nry(0.2203) q[2];\nry(-0.3818) q[3];\nry(0.4647) q[4];\nry(0.9453) q[5];\nry(0.854) q[6];\nry(0.8746) q[7];\nry(0.7847) q[8];\nry(-0.0323) q[9];\nry(0.0029) q[10];\nry(0.7392) q[11];\nry(0.5091) q[12];\nry(0.8662) q[13];\nry(0.873) q[14];\nry(1.0527) q[15];\ncrx(0.1095) q[15], q[14];\ncrx(0.2033) q[0], q[15];\ncrx(0.0978) q[0], q[1];\ncrx(1.0293) q[1], q[2];\ncrx(0.0811) q[2], q[3];\ncrx(-0.4545) q[3], q[4];\ncrx(0.0057) q[4], q[5];\ncrx(0.0934) q[5], q[6];\ncrx(0.2774) q[6], q[7];\ncrx(-0.1169) q[7], q[8];\ncrx(-0.0247) q[8], q[9];\ncrx(0.7395) q[9], q[10];\ncrx(-0.3832) q[10], q[11];\ncrx(0.3198) q[11], q[12];\ncrx(0.2566) q[12], q[13];\ncrx(-0.0586) q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[16] c;\nqubit[16] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\nry(x13) q[13];\nry(x14) q[14];\nry(x15) q[15];\ncrx(x16) q[15], q[0];\ncrx(x17) q[14], q[15];\ncrx(x18) q[13], q[14];\ncrx(x19) q[12], q[13];\ncrx(x20) q[11], q[12];\ncrx(x21) q[10], q[11];\ncrx(x22) q[9], q[10];\ncrx(x23) q[8], q[9];\ncrx(x24) q[7], q[8];\ncrx(x25) q[6], q[7];\ncrx(x26) q[5], q[6];\ncrx(x27) q[4], q[5];\ncrx(x28) q[3], q[4];\ncrx(x29) q[2], q[3];\ncrx(x30) q[1], q[2];\ncrx(x31) q[0], q[1];\nry(x32) q[0];\nry(x33) q[1];\nry(x34) q[2];\nry(x35) q[3];\nry(x36) q[4];\nry(x37) q[5];\nry(x38) q[6];\nry(x39) q[7];\nry(x40) q[8];\nry(x41) q[9];\nry(x42) q[10];\nry(x43) q[11];\nry(x44) q[12];\nry(x45) q[13];\nry(x46) q[14];\nry(x47) q[15];\ncrx(x48) q[15], q[14];\ncrx(x49) q[0], q[15];\ncrx(x50) q[0], q[1];\ncrx(x51) q[1], q[2];\ncrx(x52) q[2], q[3];\ncrx(x53) q[3], q[4];\ncrx(x54) q[4], q[5];\ncrx(x55) q[5], q[6];\ncrx(x56) q[6], q[7];\ncrx(x57) q[7], q[8];\ncrx(x58) q[8], q[9];\ncrx(x59) q[9], q[10];\ncrx(x60) q[10], q[11];\ncrx(x61) q[11], q[12];\ncrx(x62) q[12], q[13];\ncrx(x63) q[13], q[14];\nry(x64) q[0];\nry(x65) q[1];\nry(x66) q[2];\nry(x67) q[3];\nry(x68) q[4];\nry(x69) q[5];\nry(x70) q[6];\nry(x71) q[7];\nry(x72) q[8];\nry(x73) q[9];\nry(x74) q[10];\nry(x75) q[11];\nry(x76) q[12];\nry(x77) q[13];\nry(x78) q[14];\nry(x79) q[15];\ncrx(x80) q[15], q[0];\ncrx(x81) q[14], q[15];\ncrx(x82) q[13], q[14];\ncrx(x83) q[12], q[13];\ncrx(x84) q[11], q[12];\ncrx(x85) q[10], q[11];\ncrx(x86) q[9], q[10];\ncrx(x87) q[8], q[9];\ncrx(x88) q[7], q[8];\ncrx(x89) q[6], q[7];\ncrx(x90) q[5], q[6];\ncrx(x91) q[4], q[5];\ncrx(x92) q[3], q[4];\ncrx(x93) q[2], q[3];\ncrx(x94) q[1], q[2];\ncrx(x95) q[0], q[1];\nry(x96) q[0];\nry(x97) q[1];\nry(x98) q[2];\nry(x99) q[3];\nry(x100) q[4];\nry(x101) q[5];\nry(x102) q[6];\nry(x103) q[7];\nry(x104) q[8];\nry(x105) q[9];\nry(x106) q[10];\nry(x107) q[11];\nry(x108) q[12];\nry(x109) q[13];\nry(x110) q[14];\nry(x111) q[15];\ncrx(x112) q[15], q[14];\ncrx(x113) q[0], q[15];\ncrx(x114) q[0], q[1];\ncrx(x115) q[1], q[2];\ncrx(x89) q[2], q[3];\ncrx(x116) q[3], q[4];\ncrx(x117) q[4], q[5];\ncrx(x118) q[5], q[6];\ncrx(x119) q[6], q[7];\ncrx(x120) q[7], q[8];\ncrx(x121) q[8], q[9];\ncrx(x122) q[9], q[10];\ncrx(x123) q[10], q[11];\ncrx(x124) q[11], q[12];\ncrx(x125) q[12], q[13];\ncrx(x126) q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["fcfd54ef615390c036c2590109c0afc6","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 4, \"source\": 0, \"target\": 7}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 6, \"source\": 1, \"target\": 9}, {\"capacity\": 3, \"source\": 1, \"target\": 11}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 5, \"source\": 2, \"target\": 7}, {\"capacity\": 6, \"source\": 2, \"target\": 10}, {\"capacity\": 6, \"source\": 3, \"target\": 1}, {\"capacity\": 5, \"source\": 3, \"target\": 2}, {\"capacity\": 5, \"source\": 3, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 10}, {\"capacity\": 2, \"source\": 3, \"target\": 11}, {\"capacity\": 4, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 3}, {\"capacity\": 5, \"source\": 4, \"target\": 11}, {\"capacity\": 1, \"source\": 5, \"target\": 10}, {\"capacity\": 1, \"source\": 6, \"target\": 1}, {\"capacity\": 3, \"source\": 6, \"target\": 4}, {\"capacity\": 6, \"source\": 6, \"target\": 7}, {\"capacity\": 1, \"source\": 6, \"target\": 10}, {\"capacity\": 2, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 5, \"source\": 7, \"target\": 6}, {\"capacity\": 2, \"source\": 7, \"target\": 9}, {\"capacity\": 3, \"source\": 7, \"target\": 10}, {\"capacity\": 1, \"source\": 7, \"target\": 11}, {\"capacity\": 6, \"source\": 8, \"target\": 1}, {\"capacity\": 4, \"source\": 8, \"target\": 6}, {\"capacity\": 6, \"source\": 8, \"target\": 10}, {\"capacity\": 4, \"source\": 9, \"target\": 1}, {\"capacity\": 1, \"source\": 9, \"target\": 3}, {\"capacity\": 1, \"source\": 9, \"target\": 4}, {\"capacity\": 5, \"source\": 9, \"target\": 11}, {\"capacity\": 4, \"source\": 10, \"target\": 1}, {\"capacity\": 5, \"source\": 10, \"target\": 3}, {\"capacity\": 4, \"source\": 10, \"target\": 6}]}","{\"states\": [2050, 2047], \"expectation_value\": -32.62127415627477, \"params\": [[[-0.0083, 1.0223], [0.0026000000000000003, -0.032100000000000004], [0.0024000000000000002, 0.0017000000000000001], [0.0029000000000000002, 0.0021000000000000003], [0.0026000000000000003, 0.0028], [0.0025, 0.0026000000000000003], [0.0028, 0.0028], [0.0023, 0.0019], [0.0027, -0.0028], [-0.003, 0.0029000000000000002], [0.0036000000000000003, -1.5414], [-0.0223, -1.5269000000000001]], [[-0.022000000000000002, -0.034300000000000004], [0.0026000000000000003, -1.0192], [0.0024000000000000002, 0.0027], [0.0029000000000000002, 0.0022], [0.0026000000000000003, 0.0018000000000000002], [0.0024000000000000002, 0.0019], [0.0029000000000000002, 0.0024000000000000002], [0.0026000000000000003, -0.0031000000000000003], [0.0027, 0.0028], [-0.003, 0.0024000000000000002], [-0.8133, 0.0159], [0.4554, -0.0179]], [[-0.0352, 0.4585], [0.0024000000000000002, -0.0004], [0.0023, 0.0014], [0.0029000000000000002, 0.0021000000000000003], [0.0025, -0.0029000000000000002], [0.0024000000000000002, 0.0029000000000000002], [0.0029000000000000002, -0.0031000000000000003], [0.0027, 0.002], [0.0026000000000000003, 0.0028], [-0.0029000000000000002, -0.0022], [-0.063, -1.3567], [-0.8555, 0.0083]]], \"bitstrings\": [\"011111111101\", \"100000000000\"], \"total_optimization_steps\": 340, \"probabilities\": [0.27716821192777374, 0.3744001209715584], \"optimization_time\": 39.65890383720398}","-1.0 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(9) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(6)) + -0.5 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + 3.25 * (Z(3) @ Z(0)) + -1.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(9)) + -0.75 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(11)) + -1.25 * (Z(4) @ Z(5)) + -1.75 * (Z(4) @ Z(9)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(6)) + -2.75 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(4)) + -1.5 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(8)) + -1.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(2)) + -1.5 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(2)) + 3.25 * Z(5) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(9) + -2.75 * Z(1) + 0.75 * Z(11) + -0.75 * Z(3) + 1.5 * Z(4) + -1.25 * Z(8) + -1.25 * Z(2) + -1.25 * Z(7) + 4.0 * Z(10)",15,12,3,"{\"smallest_eigenvalues\": [-33.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -32.25, \"smallest_bitstrings\": [\"100000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.0083) q[0];\nry(0.0026) q[1];\nry(0.0024) q[2];\nry(0.0029) q[3];\nry(0.0026) q[4];\nry(0.0025) q[5];\nry(0.0028) q[6];\nry(0.0023) q[7];\nry(0.0027) q[8];\nry(-0.003) q[9];\nry(0.0036) q[10];\nry(-0.0223) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.0223) q[0];\nry(-0.0321) q[1];\nry(0.0017) q[2];\nry(0.0021) q[3];\nry(0.0028) q[4];\nry(0.0026) q[5];\nry(0.0028) q[6];\nry(0.0019) q[7];\nry(-0.0028) q[8];\nry(0.0029) q[9];\nry(-1.5414) q[10];\nry(-1.5269) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.022) q[0];\nry(0.0026) q[1];\nry(0.0024) q[2];\nry(0.0029) q[3];\nry(0.0026) q[4];\nry(0.0024) q[5];\nry(0.0029) q[6];\nry(0.0026) q[7];\nry(0.0027) q[8];\nry(-0.003) q[9];\nry(-0.8133) q[10];\nry(0.4554) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0343) q[0];\nry(-1.0192) q[1];\nry(0.0027) q[2];\nry(0.0022) q[3];\nry(0.0018) q[4];\nry(0.0019) q[5];\nry(0.0024) q[6];\nry(-0.0031) q[7];\nry(0.0028) q[8];\nry(0.0024) q[9];\nry(0.0159) q[10];\nry(-0.0179) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.0352) q[0];\nry(0.0024) q[1];\nry(0.0023) q[2];\nry(0.0029) q[3];\nry(0.0025) q[4];\nry(0.0024) q[5];\nry(0.0029) q[6];\nry(0.0027) q[7];\nry(0.0026) q[8];\nry(-0.0029) q[9];\nry(-0.063) q[10];\nry(-0.8555) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.4585) q[0];\nry(-0.0004) q[1];\nry(0.0014) q[2];\nry(0.0021) q[3];\nry(-0.0029) q[4];\nry(0.0029) q[5];\nry(-0.0031) q[6];\nry(0.002) q[7];\nry(0.0028) q[8];\nry(-0.0022) q[9];\nry(-1.3567) q[10];\nry(0.0083) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x1) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x6) q[7];\nry(x7) q[8];\nry(x8) q[9];\nry(x9) q[10];\nry(x10) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x5) q[4];\nry(x1) q[5];\nry(x5) q[6];\nry(x15) q[7];\nry(x16) q[8];\nry(x3) q[9];\nry(x17) q[10];\nry(x18) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x19) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x1) q[4];\nry(x2) q[5];\nry(x3) q[6];\nry(x1) q[7];\nry(x7) q[8];\nry(x8) q[9];\nry(x20) q[10];\nry(x21) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x7) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x15) q[5];\nry(x2) q[6];\nry(x26) q[7];\nry(x5) q[8];\nry(x2) q[9];\nry(x27) q[10];\nry(x28) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x29) q[0];\nry(x2) q[1];\nry(x6) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x2) q[5];\nry(x3) q[6];\nry(x7) q[7];\nry(x1) q[8];\nry(x30) q[9];\nry(x31) q[10];\nry(x32) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x33) q[0];\nry(x34) q[1];\nry(x35) q[2];\nry(x14) q[3];\nry(x30) q[4];\nry(x3) q[5];\nry(x26) q[6];\nry(x36) q[7];\nry(x5) q[8];\nry(x37) q[9];\nry(x38) q[10];\nry(x39) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["b99f0e315d6c4ec38babd2628ecf87b6","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 1, \"source\": 7, \"target\": 6}, {\"capacity\": 1, \"source\": 7, \"target\": 8}]}","{\"states\": [67, 3], \"expectation_value\": -0.07877810997820567, \"params\": [[0.0635], [-0.0545]], \"bitstrings\": [\"110111100\", \"111111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002189659683555928, 0.002204218005299875], \"optimization_time\": 2.207000494003296}","-0.5 * (Z(0) @ Z(6)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * Z(6) + -0.25 * Z(0) + 0.5 * Z(8) + 0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 0.25 * Z(2) + 0.75 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-5.75, -5.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.75, \"smallest_bitstrings\": [\"111111100\", \"110111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[6], q[0];\nrz(-0.0635) q[0];\ncx q[6], q[0];\ncx q[0], q[8];\nrz(0.0953) q[8];\ncx q[0], q[8];\ncx q[6], q[1];\nrz(-0.0318) q[1];\ncx q[6], q[1];\ncx q[6], q[3];\nrz(-0.0318) q[3];\ncx q[6], q[3];\ncx q[1], q[3];\nrz(-0.0635) q[3];\ncx q[1], q[3];\ncx q[6], q[4];\nrz(-0.0635) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(-0.0318) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(-0.0318) q[5];\ncx q[4], q[5];\ncx q[5], q[2];\nrz(-0.0318) q[2];\ncx q[5], q[2];\ncx q[6], q[7];\nrz(-0.0318) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(-0.0318) q[7];\ncx q[8], q[7];\ncx q[4], q[7];\nrz(-0.0318) q[7];\ncx q[4], q[7];\nrz(-0.0318) q[6];\nrz(-0.0318) q[0];\nrz(0.0635) q[8];\nrz(0.0635) q[1];\nrz(-0.0318) q[3];\nrz(-0.0953) q[4];\nrz(-0.0635) q[5];\nrz(0.0318) q[2];\nrz(0.0953) q[7];\nh q[0];\nrz(-0.109) q[0];\nh q[0];\nh q[1];\nrz(-0.109) q[1];\nh q[1];\nh q[2];\nrz(-0.109) q[2];\nh q[2];\nh q[3];\nrz(-0.109) q[3];\nh q[3];\nh q[4];\nrz(-0.109) q[4];\nh q[4];\nh q[5];\nrz(-0.109) q[5];\nh q[5];\nh q[6];\nrz(-0.109) q[6];\nh q[6];\nh q[7];\nrz(-0.109) q[7];\nh q[7];\nh q[8];\nrz(-0.109) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[6], q[0];\nrz(x0) q[0];\ncx q[6], q[0];\ncx q[0], q[8];\nrz(x1) q[8];\ncx q[0], q[8];\ncx q[6], q[1];\nrz(x2) q[1];\ncx q[6], q[1];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[5], q[2];\nrz(x2) q[2];\ncx q[5], q[2];\ncx q[6], q[7];\nrz(x2) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(x2) q[7];\ncx q[8], q[7];\ncx q[4], q[7];\nrz(x2) q[7];\ncx q[4], q[7];\nrz(x2) q[6];\nrz(x2) q[0];\nrz(x3) q[8];\nrz(x3) q[1];\nrz(x2) q[3];\nrz(x4) q[4];\nrz(x0) q[5];\nrz(x5) q[2];\nrz(x1) q[7];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["9c58c5b77a3170e613a26f379fffeef6","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 4}, {\"weight\": 13, \"source\": 0, \"target\": 2}, {\"weight\": 18, \"source\": 0, \"target\": 5}, {\"weight\": 2, \"source\": 2, \"target\": 3}, {\"weight\": 20, \"source\": 3, \"target\": 4}, {\"weight\": 15, \"source\": 3, \"target\": 5}, {\"weight\": 9, \"source\": 4, \"target\": 5}]}","{\"states\": [119, 118], \"expectation_value\": -30.558307637888625, \"params\": [[0.028800000000000003, 0.0028, -0.0017000000000000001], [-0.0833, -0.0765, -0.057600000000000005]], \"bitstrings\": [\"10001000\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.014800796120976303, 0.018733878105929913], \"optimization_time\": 7.449054002761841}","3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 5.0 * Z(0) + 16.5 * Z(2) + 19.5 * Z(3) + 4.5 * Z(4) + 17.0 * Z(5) + 14.5 * Z(6) + 11.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-74.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -69.0, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.2016) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2016) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2016) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.2016) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.2016) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2016) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.2016) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(0.2016) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.2016) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.2016) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.2016) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.2016) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.2016) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.2016) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.2016) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.2016) q[7];\ncx q[6], q[7];\nrz(0.7776) q[1];\nrz(0.288) q[0];\nrz(0.9504) q[2];\nrz(1.1232) q[3];\nrz(0.2592) q[4];\nrz(0.9792) q[5];\nrz(0.8352) q[6];\nrz(0.6624) q[7];\nh q[0];\nrz(-0.1666) q[0];\nh q[0];\nh q[1];\nrz(-0.1666) q[1];\nh q[1];\nh q[2];\nrz(-0.1666) q[2];\nh q[2];\nh q[3];\nrz(-0.1666) q[3];\nh q[3];\nh q[4];\nrz(-0.1666) q[4];\nh q[4];\nh q[5];\nrz(-0.1666) q[5];\nh q[5];\nh q[6];\nrz(-0.1666) q[6];\nh q[6];\nh q[7];\nrz(-0.1666) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0196) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0196) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0196) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0196) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0196) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0196) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.0196) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(0.0196) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.0196) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0196) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0196) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0196) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.0196) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.0196) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.0196) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0196) q[7];\ncx q[6], q[7];\nrz(0.0756) q[1];\nrz(0.028) q[0];\nrz(0.0924) q[2];\nrz(0.1092) q[3];\nrz(0.0252) q[4];\nrz(0.0952) q[5];\nrz(0.0812) q[6];\nrz(0.0644) q[7];\nh q[0];\nrz(-0.153) q[0];\nh q[0];\nh q[1];\nrz(-0.153) q[1];\nh q[1];\nh q[2];\nrz(-0.153) q[2];\nh q[2];\nh q[3];\nrz(-0.153) q[3];\nh q[3];\nh q[4];\nrz(-0.153) q[4];\nh q[4];\nh q[5];\nrz(-0.153) q[5];\nh q[5];\nh q[6];\nrz(-0.153) q[6];\nh q[6];\nh q[7];\nrz(-0.153) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0119) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0119) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0119) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0119) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0119) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0119) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0119) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(-0.0119) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0119) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.0119) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0119) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0119) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.0119) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.0119) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.0119) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0119) q[7];\ncx q[6], q[7];\nrz(-0.0459) q[1];\nrz(-0.017) q[0];\nrz(-0.0561) q[2];\nrz(-0.0663) q[3];\nrz(-0.0153) q[4];\nrz(-0.0578) q[5];\nrz(-0.0493) q[6];\nrz(-0.0391) q[7];\nh q[0];\nrz(-0.1152) q[0];\nh q[0];\nh q[1];\nrz(-0.1152) q[1];\nh q[1];\nh q[2];\nrz(-0.1152) q[2];\nh q[2];\nh q[3];\nrz(-0.1152) q[3];\nh q[3];\nh q[4];\nrz(-0.1152) q[4];\nh q[4];\nh q[5];\nrz(-0.1152) q[5];\nh q[5];\nh q[6];\nrz(-0.1152) q[6];\nh q[6];\nh q[7];\nrz(-0.1152) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x10) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x20) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x20) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x20) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x20) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x20) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x20) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x20) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x20) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 6}\"}","{\"circuits\": [], \"gradients\": []}"]
["-3942045383418848897","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[6, 7], [0, 2, 3, 7], [0, 2, 3, 4], [1, 2, 4, 5], [2, 4, 5, 6]]}","{\"states\": [222, 246], \"expectation_value\": -0.7286730128817186, \"params\": [[0.4665], [-0.4456]], \"bitstrings\": [\"00100001\", \"00001001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.011516565897959564, 0.011734151475322505], \"optimization_time\": 3.093832492828369}","0.5 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.1250000000000001 * Z(7) + 0.1250000000000001 * Z(6) + 0.24999999999999994 * Z(0) + 0.5 * Z(2) + 0.24999999999999994 * Z(3) + 0.3749999999999999 * Z(4) + 0.125 * Z(1) + 0.24999999999999994 * Z(5)",1,8,1,"{\"smallest_eigenvalues\": [-1.5, -1.5, -1.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.416666666666667, \"smallest_bitstrings\": [\"01010010\", \"11000010\", \"00001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[6];\nrz(0.4665) q[6];\ncx q[7], q[6];\ncx q[7], q[0];\nrz(0.0777) q[0];\ncx q[7], q[0];\ncx q[7], q[2];\nrz(0.0777) q[2];\ncx q[7], q[2];\ncx q[6], q[2];\nrz(0.0777) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(0.1555) q[2];\ncx q[0], q[2];\ncx q[7], q[3];\nrz(0.0777) q[3];\ncx q[7], q[3];\ncx q[0], q[3];\nrz(0.1555) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.1555) q[3];\ncx q[2], q[3];\ncx q[6], q[4];\nrz(0.0777) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(0.0777) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.2333) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0777) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(0.0777) q[1];\ncx q[2], q[1];\ncx q[4], q[1];\nrz(0.0777) q[1];\ncx q[4], q[1];\ncx q[6], q[5];\nrz(0.0777) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(0.1555) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.1555) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(0.0777) q[5];\ncx q[1], q[5];\nrz(0.1166) q[7];\nrz(0.1166) q[6];\nrz(0.2332) q[0];\nrz(0.4665) q[2];\nrz(0.2332) q[3];\nrz(0.3499) q[4];\nrz(0.1166) q[1];\nrz(0.2332) q[5];\nh q[0];\nrz(-0.8912) q[0];\nh q[0];\nh q[1];\nrz(-0.8912) q[1];\nh q[1];\nh q[2];\nrz(-0.8912) q[2];\nh q[2];\nh q[3];\nrz(-0.8912) q[3];\nh q[3];\nh q[4];\nrz(-0.8912) q[4];\nh q[4];\nh q[5];\nrz(-0.8912) q[5];\nh q[5];\nh q[6];\nrz(-0.8912) q[6];\nh q[6];\nh q[7];\nrz(-0.8912) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[7], q[0];\nrz(x1) q[0];\ncx q[7], q[0];\ncx q[7], q[2];\nrz(x1) q[2];\ncx q[7], q[2];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[7], q[3];\nrz(x1) q[3];\ncx q[7], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[4], q[1];\nrz(x1) q[1];\ncx q[4], q[1];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\nrz(x4) q[7];\nrz(x4) q[6];\nrz(x5) q[0];\nrz(x0) q[2];\nrz(x5) q[3];\nrz(x6) q[4];\nrz(x4) q[1];\nrz(x5) q[5];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["a887d91f9606dc8ffadccd46fa1ed57b","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 2}, {\"capacity\": 5, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 5}]}","{\"states\": [1, 17], \"expectation_value\": -6.954915365150812, \"params\": [[[0.0004, 0.3356], [0.5891000000000001, 0.003], [0.0035, 0.4339], [0.0051, 0.2082], [0.0012000000000000001, 0.4576], [0.603, 0.0031000000000000003]], [[0.0033, 0.37270000000000003], [0.5933, 0.003], [-0.0001, 0.2919], [0.0008, 0.3584], [0.0061, 0.44], [0.6056, 0.0031000000000000003]], [[0.0006000000000000001, 0.007], [0.5916, 0.001], [0.004, 0.0007], [0.0034000000000000002, 0.0098], [0.0011, 0.0026000000000000003], [0.6017, 0.0058000000000000005]]], \"bitstrings\": [\"111110\", \"101110\"], \"total_optimization_steps\": 60, \"probabilities\": [0.24690871214874244, 0.37167995658936315], \"optimization_time\": 2.9147496223449707}","-1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4)",1,6,3,"{\"smallest_eigenvalues\": [-10.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.5, \"smallest_bitstrings\": [\"101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.0004) q[0];\nrz(0.3356) q[0];\nrx(0.5891) q[1];\nrz(0.003) q[1];\nrx(0.0035) q[2];\nrz(0.4339) q[2];\nrx(0.0051) q[3];\nrz(0.2082) q[3];\nrx(0.0012) q[4];\nrz(0.4576) q[4];\nrx(0.603) q[5];\nrz(0.0031) q[5];\nrx(0.0033) q[0];\nrz(0.3727) q[0];\nrx(0.5933) q[1];\nrz(0.003) q[1];\nrx(-0.0001) q[2];\nrz(0.2919) q[2];\nrx(0.0008) q[3];\nrz(0.3584) q[3];\nrx(0.0061) q[4];\nrz(0.44) q[4];\nrx(0.6056) q[5];\nrz(0.0031) q[5];\nrx(0.0006) q[0];\nrz(0.007) q[0];\nrx(0.5916) q[1];\nrz(0.001) q[1];\nrx(0.004) q[2];\nrz(0.0007) q[2];\nrx(0.0034) q[3];\nrz(0.0098) q[3];\nrx(0.0011) q[4];\nrz(0.0026) q[4];\nrx(0.6017) q[5];\nrz(0.0058) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[0];\nrz(x13) q[0];\nrx(x14) q[1];\nrz(x3) q[1];\nrx(x15) q[2];\nrz(x16) q[2];\nrx(x17) q[3];\nrz(x18) q[3];\nrx(x19) q[4];\nrz(x20) q[4];\nrx(x21) q[5];\nrz(x11) q[5];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["6a865e73d4e6861d0009457718f7c0e7","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [4606, 12798], \"expectation_value\": -2.8332196218312875, \"params\": [0.8399000000000001, 0.0753, 1.1062, 0.0166, 0.32320000000000004, 0.4621, 0.2822, -0.4988, 0.35350000000000004, 0.46590000000000004, 1.0949, -0.0358, 1.0704, -0.0051, 1.0491000000000001, -0.0038, 1.0626, -0.0037, 1.0719, -0.0017000000000000001, 1.0939, 0.0017000000000000001, 1.0927, -0.0132, 1.1067, -0.0053, 0.24430000000000002, -0.4335, 0.8366, 0.24150000000000002, 1.1019, 0.499, 0.2938, -0.4297, 0.2853, -0.5167, 0.3814, 0.499, 1.0938, -0.0034000000000000002, 1.0695000000000001, -0.0025, 1.0486, -0.0037, 1.0619, -0.0032, 1.0779, -0.0014, 1.0955000000000001, 0.0054, 1.0932, 0.0151, 1.104, -0.46240000000000003, 0.2581, 0.001, -0.1487, -0.4469, 0.6727000000000001, -0.3302, -0.4151, 0.15940000000000001, 0.08170000000000001, 0.2142, 0.23750000000000002, 0.162, 0.061500000000000006, 0.1163, -0.0855, 0.24020000000000002, 0.09000000000000001, 0.2727, -0.034, 0.0771, 0.8874000000000001, 1.0550000000000002, 1.0325, 1.0523, 1.0642, 1.0558, 1.0173, 0.20980000000000001], \"bitstrings\": [\"10111000000001\", \"00111000000001\"], \"total_optimization_steps\": 110, \"probabilities\": [0.1652646572818616, 0.2790009155317793], \"optimization_time\": 128.76983666419983}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(6) @ Z(0)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(0) @ Z(8)) + 0.03125 * (Z(0) @ Z(9)) + 0.03125 * (Z(6) @ Z(3)) + 0.03125 * (Z(7) @ Z(3)) + 0.03125 * (Z(3) @ Z(8)) + 0.03125 * (Z(3) @ Z(9)) + 0.03125 * (Z(6) @ Z(7)) + 0.03125 * (Z(6) @ Z(8)) + 0.03125 * (Z(6) @ Z(9)) + 0.03125 * (Z(7) @ Z(8)) + 0.03125 * (Z(7) @ Z(9)) + 0.03125 * (Z(8) @ Z(9)) + -0.03125 * (Z(6) @ Z(0) @ Z(3)) + -0.03125 * (Z(0) @ Z(3) @ Z(7)) + -0.03125 * (Z(0) @ Z(3) @ Z(8)) + -0.03125 * (Z(0) @ Z(3) @ Z(9)) + -0.03125 * (Z(6) @ Z(0) @ Z(7)) + -0.03125 * (Z(6) @ Z(0) @ Z(8)) + -0.03125 * (Z(6) @ Z(0) @ Z(9)) + -0.03125 * (Z(0) @ Z(8) @ Z(7)) + -0.03125 * (Z(0) @ Z(9) @ Z(7)) + -0.03125 * (Z(0) @ Z(8) @ Z(9)) + -0.03125 * (Z(6) @ Z(7) @ Z(3)) + -0.03125 * (Z(6) @ Z(3) @ Z(8)) + -0.03125 * (Z(6) @ Z(3) @ Z(9)) + -0.03125 * (Z(7) @ Z(3) @ Z(8)) + -0.03125 * (Z(7) @ Z(3) @ Z(9)) + -0.03125 * (Z(3) @ Z(8) @ Z(9)) + -0.03125 * (Z(6) @ Z(7) @ Z(8)) + -0.03125 * (Z(6) @ Z(7) @ Z(9)) + -0.03125 * (Z(6) @ Z(8) @ Z(9)) + -0.03125 * (Z(7) @ Z(8) @ Z(9)) + 0.03125 * (Z(6) @ Z(0) @ Z(3) @ Z(7)) + 0.03125 * (Z(6) @ Z(0) @ Z(3) @ Z(8)) + 0.03125 * (Z(6) @ Z(0) @ Z(3) @ Z(9)) + 0.03125 * (Z(0) @ Z(3) @ Z(8) @ Z(7)) + 0.03125 * (Z(0) @ Z(3) @ Z(9) @ Z(7)) + 0.03125 * (Z(0) @ Z(3) @ Z(8) @ Z(9)) + 0.03125 * (Z(6) @ Z(0) @ Z(8) @ Z(7)) + 0.03125 * (Z(6) @ Z(0) @ Z(9) @ Z(7)) + 0.03125 * (Z(6) @ Z(0) @ Z(8) @ Z(9)) + 0.03125 * (Z(0) @ Z(8) @ Z(9) @ Z(7)) + 0.03125 * (Z(6) @ Z(7) @ Z(3) @ Z(8)) + 0.03125 * (Z(6) @ Z(7) @ Z(3) @ Z(9)) + 0.03125 * (Z(6) @ Z(3) @ Z(8) @ Z(9)) + 0.03125 * (Z(7) @ Z(3) @ Z(8) @ Z(9)) + 0.03125 * (Z(6) @ Z(7) @ Z(8) @ Z(9)) + -0.03125 * (Z(7) @ Z(3) @ Z(6) @ Z(0) @ Z(8)) + -0.03125 * (Z(7) @ Z(3) @ Z(6) @ Z(0) @ Z(9)) + -0.03125 * (Z(3) @ Z(6) @ Z(0) @ Z(9) @ Z(8)) + -0.03125 * (Z(7) @ Z(3) @ Z(0) @ Z(9) @ Z(8)) + -0.03125 * (Z(7) @ Z(6) @ Z(0) @ Z(9) @ Z(8)) + -0.03125 * (Z(7) @ Z(3) @ Z(6) @ Z(9) @ Z(8)) + 0.03125 * (Z(7) @ Z(3) @ Z(6) @ Z(0) @ Z(9) @ Z(8)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(1) @ Z(10)) + 0.0625 * (Z(1) @ Z(11)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(4) @ Z(10)) + 0.0625 * (Z(4) @ Z(11)) + 0.0625 * (Z(6) @ Z(10)) + 0.0625 * (Z(6) @ Z(11)) + 0.0625 * (Z(10) @ Z(11)) + -0.0625 * (Z(6) @ Z(1) @ Z(4)) + -0.0625 * (Z(1) @ Z(4) @ Z(10)) + -0.0625 * (Z(1) @ Z(4) @ Z(11)) + -0.0625 * (Z(6) @ Z(1) @ Z(10)) + -0.0625 * (Z(6) @ Z(1) @ Z(11)) + -0.0625 * (Z(1) @ Z(10) @ Z(11)) + -0.0625 * (Z(6) @ Z(4) @ Z(10)) + -0.0625 * (Z(6) @ Z(4) @ Z(11)) + -0.0625 * (Z(4) @ Z(10) @ Z(11)) + -0.0625 * (Z(6) @ Z(10) @ Z(11)) + 0.0625 * (Z(6) @ Z(1) @ Z(4) @ Z(10)) + 0.0625 * (Z(6) @ Z(1) @ Z(4) @ Z(11)) + 0.0625 * (Z(1) @ Z(4) @ Z(10) @ Z(11)) + 0.0625 * (Z(6) @ Z(1) @ Z(10) @ Z(11)) + 0.0625 * (Z(6) @ Z(4) @ Z(10) @ Z(11)) + -0.0625 * (Z(1) @ Z(6) @ Z(11) @ Z(4) @ Z(10)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(12) @ Z(2)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(12) @ Z(5)) + 0.125 * (Z(12) @ Z(7)) + -0.125 * (Z(7) @ Z(2) @ Z(5)) + -0.125 * (Z(12) @ Z(2) @ Z(5)) + -0.125 * (Z(12) @ Z(2) @ Z(7)) + -0.125 * (Z(12) @ Z(7) @ Z(5)) + 0.125 * (Z(12) @ Z(2) @ Z(7) @ Z(5)) + 0.125 * (Z(8) @ Z(10)) + 0.125 * (Z(12) @ Z(8)) + 0.125 * (Z(8) @ Z(13)) + 0.125 * (Z(12) @ Z(10)) + 0.125 * (Z(13) @ Z(10)) + 0.125 * (Z(12) @ Z(13)) + -0.125 * (Z(12) @ Z(8) @ Z(10)) + -0.125 * (Z(8) @ Z(13) @ Z(10)) + -0.125 * (Z(12) @ Z(8) @ Z(13)) + -0.125 * (Z(12) @ Z(13) @ Z(10)) + 0.125 * (Z(12) @ Z(8) @ Z(13) @ Z(10)) + 0.25 * (Z(9) @ Z(11)) + 0.25 * (Z(9) @ Z(13)) + 0.25 * (Z(13) @ Z(11)) + -0.25 * (Z(9) @ Z(13) @ Z(11)) + 0.21875 * Z(0) + 0.1875 * Z(1) + 0.125 * Z(2) + 0.21875 * Z(3) + 0.1875 * Z(4) + 0.125 * Z(5) + 0.40625 * Z(6) + 0.34375 * Z(7) + 0.34375 * Z(8) + 0.21875 * Z(9) + 0.3125 * Z(10) + 0.1875 * Z(11) + 0.25 * Z(12) + 0.125 * Z(13)",4,14,2,"{\"smallest_eigenvalues\": [-4.093750000000002], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.09375, \"smallest_bitstrings\": [\"00111000000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nrx(0.8399) q[0];\nrz(0.0753) q[0];\nrx(1.1062) q[1];\nrz(0.0166) q[1];\nrx(0.3232) q[2];\nrz(0.4621) q[2];\nrx(0.2822) q[3];\nrz(-0.4988) q[3];\nrx(0.3535) q[4];\nrz(0.4659) q[4];\nrx(1.0949) q[5];\nrz(-0.0358) q[5];\nrx(1.0704) q[6];\nrz(-0.0051) q[6];\nrx(1.0491) q[7];\nrz(-0.0038) q[7];\nrx(1.0626) q[8];\nrz(-0.0037) q[8];\nrx(1.0719) q[9];\nrz(-0.0017) q[9];\nrx(1.0939) q[10];\nrz(0.0017) q[10];\nrx(1.0927) q[11];\nrz(-0.0132) q[11];\nrx(1.1067) q[12];\nrz(-0.0053) q[12];\nrx(0.2443) q[13];\nrz(-0.4335) q[13];\ncrx(-0.0855) q[13], q[12];\ncrx(0.1163) q[12], q[11];\ncrx(0.0615) q[11], q[10];\ncrx(0.162) q[10], q[9];\ncrx(0.2375) q[9], q[8];\ncrx(0.2142) q[8], q[7];\ncrx(0.0817) q[7], q[6];\ncrx(0.1594) q[6], q[5];\ncrx(-0.4151) q[5], q[4];\ncrx(-0.3302) q[4], q[3];\ncrx(0.6727) q[3], q[2];\ncrx(-0.4469) q[2], q[1];\ncrx(-0.1487) q[1], q[0];\nrx(0.8366) q[0];\nrz(0.2415) q[0];\nrx(1.1019) q[1];\nrz(0.499) q[1];\nrx(0.2938) q[2];\nrz(-0.4297) q[2];\nrx(0.2853) q[3];\nrz(-0.5167) q[3];\nrx(0.3814) q[4];\nrz(0.499) q[4];\nrx(1.0938) q[5];\nrz(-0.0034) q[5];\nrx(1.0695) q[6];\nrz(-0.0025) q[6];\nrx(1.0486) q[7];\nrz(-0.0037) q[7];\nrx(1.0619) q[8];\nrz(-0.0032) q[8];\nrx(1.0779) q[9];\nrz(-0.0014) q[9];\nrx(1.0955) q[10];\nrz(0.0054) q[10];\nrx(1.0932) q[11];\nrz(0.0151) q[11];\nrx(1.104) q[12];\nrz(-0.4624) q[12];\nrx(0.2581) q[13];\nrz(0.001) q[13];\ncrx(0.2098) q[13], q[12];\ncrx(1.0173) q[12], q[11];\ncrx(1.0558) q[11], q[10];\ncrx(1.0642) q[10], q[9];\ncrx(1.0523) q[9], q[8];\ncrx(1.0325) q[8], q[7];\ncrx(1.055) q[7], q[6];\ncrx(0.8874) q[6], q[5];\ncrx(0.0771) q[5], q[4];\ncrx(-0.034) q[4], q[3];\ncrx(0.2727) q[3], q[2];\ncrx(0.09) q[2], q[1];\ncrx(0.2402) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x9;\nbit[14] c;\nqubit[14] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\nrx(x24) q[12];\nrz(x25) q[12];\nrx(x26) q[13];\nrz(x27) q[13];\ncrx(x28) q[13], q[12];\ncrx(x29) q[12], q[11];\ncrx(x30) q[11], q[10];\ncrx(x31) q[10], q[9];\ncrx(x32) q[9], q[8];\ncrx(x33) q[8], q[7];\ncrx(x34) q[7], q[6];\ncrx(x35) q[6], q[5];\ncrx(x36) q[5], q[4];\ncrx(x37) q[4], q[3];\ncrx(x38) q[3], q[2];\ncrx(x39) q[2], q[1];\ncrx(x40) q[1], q[0];\nrx(x41) q[0];\nrz(x42) q[0];\nrx(x43) q[1];\nrz(x44) q[1];\nrx(x45) q[2];\nrz(x46) q[2];\nrx(x47) q[3];\nrz(x48) q[3];\nrx(x49) q[4];\nrz(x44) q[4];\nrx(x50) q[5];\nrz(x51) q[5];\nrx(x52) q[6];\nrz(x53) q[6];\nrx(x54) q[7];\nrz(x17) q[7];\nrx(x55) q[8];\nrz(x56) q[8];\nrx(x57) q[9];\nrz(x58) q[9];\nrx(x59) q[10];\nrz(x60) q[10];\nrx(x61) q[11];\nrz(x62) q[11];\nrx(x63) q[12];\nrz(x64) q[12];\nrx(x65) q[13];\nrz(x66) q[13];\ncrx(x67) q[13], q[12];\ncrx(x68) q[12], q[11];\ncrx(x69) q[11], q[10];\ncrx(x70) q[10], q[9];\ncrx(x71) q[9], q[8];\ncrx(x72) q[8], q[7];\ncrx(x73) q[7], q[6];\ncrx(x74) q[6], q[5];\ncrx(x75) q[5], q[4];\ncrx(x76) q[4], q[3];\ncrx(x77) q[3], q[2];\ncrx(x78) q[2], q[1];\ncrx(x79) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];",null,"{\"circuits\": [], \"gradients\": []}"]
["85892c11b8f43dcff24467d969952465","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 7}, {\"weight\": 2, \"source\": 1, \"target\": 8}, {\"weight\": 4, \"source\": 2, \"target\": 9}, {\"weight\": 20, \"source\": 2, \"target\": 7}, {\"weight\": 16, \"source\": 2, \"target\": 8}, {\"weight\": 6, \"source\": 3, \"target\": 10}, {\"weight\": 1, \"source\": 4, \"target\": 11}, {\"weight\": 20, \"source\": 5, \"target\": 7}, {\"weight\": 16, \"source\": 6, \"target\": 8}, {\"weight\": 18, \"source\": 6, \"target\": 10}]}","{\"states\": [711, 199], \"expectation_value\": -73.4182494123019, \"params\": [0.7317, 0.2523, 0.4842, 0.3433, 1.2014, 0.0171, 1.2012, -0.15410000000000001, 0.5672, -0.2461, 0.0034000000000000002, 0.6224000000000001, 0.0025, 0.8563000000000001, 1.201, 0.0045000000000000005, 1.208, -0.001, 1.204, 0.045000000000000005, 0.7344, 0.0041, 0.48200000000000004, 0.003, 1.1989, 0.0036000000000000003, 1.2052, 0.0058000000000000005, 0.5638000000000001, 0.0008, 0.003, 0.0077, 0.0025, 0.0071, 1.2033, 0.0029000000000000002, 1.204, 0.0054, 1.2036, 0.009600000000000001, 0.1275, 0.3074, -0.2733, 0.0018000000000000002, -0.3149, 0.5302, -0.6188, -0.8467, -0.003, 0.0011, 0.005200000000000001, 0.0022, 0.0027, 0.007, 0.00030000000000000003, 0.008700000000000001, 0.0044, 0.005, 0.0054, 0.006500000000000001], \"bitstrings\": [\"0100111000\", \"1100111000\"], \"total_optimization_steps\": 120, \"probabilities\": [0.13250214036836927, 0.1631630272568385], \"optimization_time\": 35.89107394218445}","6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(5) @ Z(8)) + 23.0 * Z(2) + 4.0 * Z(0) + 2.0 * Z(4) + 21.0 * Z(3) + 1.0 * Z(1) + 10.0 * Z(7) + 14.5 * Z(9) + 9.0 * Z(8) + -3.5 * Z(5) + -12.5 * Z(6)",18,10,2,"{\"smallest_eigenvalues\": [-106.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -94.0, \"smallest_bitstrings\": [\"1100111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.7317) q[0];\nrz(0.2523) q[0];\nrx(0.4842) q[1];\nrz(0.3433) q[1];\nrx(1.2014) q[2];\nrz(0.0171) q[2];\nrx(1.2012) q[3];\nrz(-0.1541) q[3];\nrx(0.5672) q[4];\nrz(-0.2461) q[4];\nrx(0.0034) q[5];\nrz(0.6224) q[5];\nrx(0.0025) q[6];\nrz(0.8563) q[6];\nrx(1.201) q[7];\nrz(0.0045) q[7];\nrx(1.208) q[8];\nrz(-0.001) q[8];\nrx(1.204) q[9];\nrz(0.045) q[9];\ncrz(0.1275) q[9], q[0];\ncrz(0.0011) q[8], q[9];\ncrz(-0.003) q[7], q[8];\ncrz(-0.8467) q[6], q[7];\ncrz(-0.6188) q[5], q[6];\ncrz(0.5302) q[4], q[5];\ncrz(-0.3149) q[3], q[4];\ncrz(0.0018) q[2], q[3];\ncrz(-0.2733) q[1], q[2];\ncrz(0.3074) q[0], q[1];\nrx(0.7344) q[0];\nrz(0.0041) q[0];\nrx(0.482) q[1];\nrz(0.003) q[1];\nrx(1.1989) q[2];\nrz(0.0036) q[2];\nrx(1.2052) q[3];\nrz(0.0058) q[3];\nrx(0.5638) q[4];\nrz(0.0008) q[4];\nrx(0.003) q[5];\nrz(0.0077) q[5];\nrx(0.0025) q[6];\nrz(0.0071) q[6];\nrx(1.2033) q[7];\nrz(0.0029) q[7];\nrx(1.204) q[8];\nrz(0.0054) q[8];\nrx(1.2036) q[9];\nrz(0.0096) q[9];\ncrz(0.0052) q[9], q[0];\ncrz(0.0065) q[8], q[9];\ncrz(0.0054) q[7], q[8];\ncrz(0.005) q[6], q[7];\ncrz(0.0044) q[5], q[6];\ncrz(0.0087) q[4], q[5];\ncrz(0.0003) q[3], q[4];\ncrz(0.007) q[2], q[3];\ncrz(0.0027) q[1], q[2];\ncrz(0.0022) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[9], q[0];\ncrz(x21) q[8], q[9];\ncrz(x22) q[7], q[8];\ncrz(x23) q[6], q[7];\ncrz(x24) q[5], q[6];\ncrz(x25) q[4], q[5];\ncrz(x26) q[3], q[4];\ncrz(x27) q[2], q[3];\ncrz(x28) q[1], q[2];\ncrz(x29) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x33) q[5];\nrz(x40) q[5];\nrx(x12) q[6];\nrz(x41) q[6];\nrx(x42) q[7];\nrz(x43) q[7];\nrx(x18) q[8];\nrz(x44) q[8];\nrx(x45) q[9];\nrz(x46) q[9];\ncrz(x47) q[9], q[0];\ncrz(x48) q[8], q[9];\ncrz(x44) q[7], q[8];\ncrz(x49) q[6], q[7];\ncrz(x50) q[5], q[6];\ncrz(x51) q[4], q[5];\ncrz(x52) q[3], q[4];\ncrz(x53) q[2], q[3];\ncrz(x54) q[1], q[2];\ncrz(x55) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["9915ff93784d747e82bcd9a73a2399e5","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}]}","{\"states\": [9, 3], \"expectation_value\": -7.275005931388309, \"params\": null, \"bitstrings\": [\"10110\", \"11100\"], \"total_optimization_steps\": 29, \"probabilities\": [0.12631059505875555, 0.6745310886168708], \"optimization_time\": 29.945663690567017}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4)",11,5,4,"{\"smallest_eigenvalues\": [-7.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.75, \"smallest_bitstrings\": [\"11100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\ncry(-1.5708) q[4], q[2];\nry(0.8148) q[4];\ncry(-1.5708) q[3], q[1];\nry(0.8051) q[3];\nry(-0.3504) q[2];\nry(-0.3105) q[1];\ncry(0.3649) q[3], q[4];\ncry(-0.2282) q[3], q[2];\ncry(0.3307) q[4], q[3];\ncry(-0.2433) q[4], q[1];\ncry(0.2781) q[1], q[4];\ncry(0.2445) q[2], q[3];\ncry(-0.1734) q[1], q[3];\ncry(-0.1714) q[2], q[4];\ncry(-0.0482) q[2], q[1];\ncry(-0.0402) q[1], q[2];\ncry(0.0001) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"k\": 3}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\ncry(0.0001) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\ncry(0.0001) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\ncry(0.0001) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[0];\\ncry(-1.5708) q[4], q[2];\\nry(0.8148) q[4];\\ncry(-1.5708) q[3], q[1];\\nry(0.8051) q[3];\\nry(-0.3504) q[2];\\nry(-0.3105) q[1];\\ncry(0.3649) q[3], q[4];\\ncry(-0.2282) q[3], q[2];\\ncry(0.3307) q[4], q[3];\\ncry(-0.2433) q[4], q[1];\\ncry(0.2781) q[1], q[4];\\ncry(0.2445) q[2], q[3];\\ncry(-0.1734) q[1], q[3];\\ncry(-0.1714) q[2], q[4];\\ncry(-0.0482) q[2], q[1];\\ncry(-0.0402) q[1], q[2];\\ncry(0.0001) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [3.0257, 1.385, 1.0504, 1.4573, 1.0334, 0.7996, 0.6623, 0.4185, 0.4512, 0.4078, 0.515, 0.0936, 0.0821, 0.0771, 0.0747, 0.0199, 0.0169, 0.0108, 0.0109, 0.0086, 0.0077, 0.0076, 0.0055, 0.0055, 0.0048, 0.0045, 0.0037, 0.0039, 0.0028]}"]
["4c48a0bc3d9383f39c57939a9b280334","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [81, 89], \"expectation_value\": -6.555349184261167, \"params\": [[0.0014, -0.0044, 1.0427, -0.002, 1.5694000000000001, 0.6604, 0.003, 0.1892, 1.5838], [-0.0035, -0.0016, 1.0483, -0.0024000000000000002, 0.9049, -0.6651, 0.003, 0.2918, 1.56], [0.0034000000000000002, -0.0016, 1.0441, -0.0022, 0.8969, 0.8023, 0.0031000000000000003, 0.2919, -0.0058000000000000005]], \"bitstrings\": [\"110101110\", \"110100110\"], \"total_optimization_steps\": 170, \"probabilities\": [0.43081285766614463, 0.5603532640154353], \"optimization_time\": 19.96980094909668}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -1.5 * Z(8) + -1.5 * Z(1) + -1.0 * Z(4) + -1.0 * Z(6) + -2.0 * Z(3) + -1.0 * Z(7)",10,9,2,"{\"smallest_eigenvalues\": [-7.0, -7.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"110100110\", \"110110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.0014) q[0];\nry(-0.0044) q[1];\nry(1.0427) q[2];\nry(-0.002) q[3];\nry(1.5694) q[4];\nry(0.6604) q[5];\nry(0.003) q[6];\nry(0.1892) q[7];\nry(1.5838) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(-0.0035) q[0];\nry(-0.0016) q[1];\nry(1.0483) q[2];\nry(-0.0024) q[3];\nry(0.9049) q[4];\nry(-0.6651) q[5];\nry(0.003) q[6];\nry(0.2918) q[7];\nry(1.56) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(0.0034) q[0];\nry(-0.0016) q[1];\nry(1.0441) q[2];\nry(-0.0022) q[3];\nry(0.8969) q[4];\nry(0.8023) q[5];\nry(0.0031) q[6];\nry(0.2919) q[7];\nry(-0.0058) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x6) q[6];\nry(x15) q[7];\nry(x16) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x17) q[0];\nry(x10) q[1];\nry(x18) q[2];\nry(x19) q[3];\nry(x20) q[4];\nry(x21) q[5];\nry(x22) q[6];\nry(x23) q[7];\nry(x24) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["6484834437226800471","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 2, 4, 6, 7], [0, 5], [3, 5]]}","{\"states\": [219, 155], \"expectation_value\": -1.0078272624619007, \"params\": null, \"bitstrings\": [\"00100100\", \"01100100\"], \"total_optimization_steps\": 57, \"probabilities\": [0.14032362325037823, 0.1520475802572063], \"optimization_time\": 69.84665250778198}","0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.1 * Z(2) + 0.1 * Z(1) + 0.1 * Z(4) + 0.1 * Z(6) + 0.1 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(3)",1,8,1,"{\"smallest_eigenvalues\": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002], \"number_of_smallest_eigenvalues\": 26, \"first_excited_energy\": -1.2, \"smallest_bitstrings\": [\"11110000\", \"00001100\", \"00001101\", \"00001110\", \"00101100\", \"00100100\", \"00100101\", \"00100110\", \"01001100\", \"01000100\", \"11011000\", \"01100100\", \"01000101\", \"01000110\", \"11010001\", \"11010010\", \"10110010\", \"10011001\", \"10011010\", \"10011000\", \"00000111\", \"10110001\", \"10110000\", \"10111000\", \"10010011\", \"11010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[5];\nry(0.7003) q[3];\ncry(-0.7092) q[0], q[5];\ncry(1.1516) q[3], q[0];\ncry(0.4386) q[0], q[3];\nry(-0.3186) q[5];\nry(0.2661) q[0];\nry(0.483) q[4];\ncry(0.3493) q[0], q[4];\ncry(-0.0864) q[4], q[5];\ncry(0.1866) q[4], q[3];\nry(0.3186) q[7];\ncry(0.2512) q[0], q[7];\ncry(-0.232) q[5], q[0];\ncry(-0.2243) q[5], q[3];\ncry(0.2149) q[3], q[7];\ncry(0.1717) q[3], q[4];\ncry(0.1537) q[4], q[7];\ncry(0.0689) q[4], q[0];\ncry(0.1121) q[7], q[4];\nry(0.1002) q[6];\ncry(0.0458) q[6], q[5];\ncry(-0.0873) q[1], q[2];\ncry(-0.0832) q[2], q[1];\ncry(0.0867) q[0], q[6];\ncry(-0.0813) q[6], q[2];\ncry(0.0922) q[3], q[6];\ncry(-0.0747) q[6], q[1];\ncry(0.0832) q[4], q[6];\ncry(0.0334) q[7], q[3];\ncry(0.0571) q[7], q[6];\ncry(-0.0455) q[2], q[6];\ncry(-0.0462) q[1], q[6];\ncry(0.0462) q[6], q[4];\ncry(0.0436) q[6], q[7];\ncry(-0.0072) q[7], q[5];\ncry(0.0229) q[1], q[5];\nry(0.034) q[1];\ncry(-0.037) q[7], q[2];\ncry(0.0321) q[5], q[7];\ncry(0.0311) q[5], q[4];\ncry(0.0149) q[2], q[5];\ncry(0.0253) q[5], q[6];\ncry(-0.0229) q[7], q[1];\nry(0.0289) q[2];\ncry(0.0186) q[1], q[4];\ncry(0.0184) q[2], q[4];\ncry(0.017) q[5], q[1];\ncry(-0.0065) q[6], q[0];\ncry(0.0159) q[5], q[2];\ncry(-0.0142) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,null,{"$cut":{"chars":56611,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[5];\\ncry(1.1516) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[5];\\ncry(1.1516) q[3], q[0];\\ncry(0.4386) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[5];\\ncry(1.1516) q[3], q[0];\\ncry(0.4386) q[0], q[3];\\nry(-0.3186) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[5];\\ncry(1.1516) q[3], q[0];\\ncry(0.4386) q[0], q[3];\\nry(-0.3186) q[5];\\nry(0.2661) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[5];\\ncry(1.1516) q[3], q[0];\\ncry(0.4386) q[0], q[3];\\nry(-0.3186) q[5];\\nry(0.2661) q[0];\\nry(0.483) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[5];\\ncry(1.1516) q[3], q[0];\\ncry(0.4386) q[0], q[3];\\nry(-0.3186) q[5];\\nry(0.2661) q[0];\\nry(0.483) q[4];\\ncry(0.3493) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[5];\\nry(0.7003) q[3];\\ncry(-0.7092) "}}]
["-5606904408919019912","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 4, 5], [0, 1, 6], [4, 6], [3, 5, 6], [1, 3], [0, 1, 2, 5]]}","{\"states\": [35, 51], \"expectation_value\": -0.46053050061227857, \"params\": [[-0.2431], [0.2524]], \"bitstrings\": [\"1011100\", \"1001100\"], \"total_optimization_steps\": 30, \"probabilities\": [0.015408505059725384, 0.015578014613635312], \"optimization_time\": 1.7582452297210693}","0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(4) + 0.45833333333333326 * Z(1) + 0.4583333333333333 * Z(5) + 0.29166666666666674 * Z(0) + 0.33333333333333326 * Z(6) + 0.16666666666666663 * Z(3) + 0.125 * Z(2)",1,7,1,"{\"smallest_eigenvalues\": [-2.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.1666666666666665, \"smallest_bitstrings\": [\"1001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[1];\nrz(-0.081) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(-0.081) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.1216) q[5];\ncx q[1], q[5];\ncx q[1], q[0];\nrz(-0.1216) q[0];\ncx q[1], q[0];\ncx q[5], q[0];\nrz(-0.0405) q[0];\ncx q[5], q[0];\ncx q[4], q[6];\nrz(-0.2431) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(-0.081) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.081) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(-0.081) q[6];\ncx q[0], q[6];\ncx q[1], q[3];\nrz(-0.2431) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(-0.081) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(-0.081) q[3];\ncx q[6], q[3];\ncx q[1], q[2];\nrz(-0.0405) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(-0.0405) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(-0.0405) q[2];\ncx q[0], q[2];\nrz(-0.081) q[4];\nrz(-0.2228) q[1];\nrz(-0.2228) q[5];\nrz(-0.1418) q[0];\nrz(-0.1621) q[6];\nrz(-0.081) q[3];\nrz(-0.0608) q[2];\nh q[0];\nrz(0.5048) q[0];\nh q[0];\nh q[1];\nrz(0.5048) q[1];\nh q[1];\nh q[2];\nrz(0.5048) q[2];\nh q[2];\nh q[3];\nrz(0.5048) q[3];\nh q[3];\nh q[4];\nrz(0.5048) q[4];\nh q[4];\nh q[5];\nrz(0.5048) q[5];\nh q[5];\nh q[6];\nrz(0.5048) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\ncx q[1], q[2];\nrz(x2) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x2) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\nrz(x0) q[4];\nrz(x4) q[1];\nrz(x4) q[5];\nrz(x5) q[0];\nrz(x6) q[6];\nrz(x0) q[3];\nrz(x7) q[2];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["18eef7556e7c99f2056daf5370482c12","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 3}, {\"weight\": 20, \"source\": 0, \"target\": 5}, {\"weight\": 18, \"source\": 1, \"target\": 5}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 18, \"source\": 3, \"target\": 5}, {\"weight\": 8, \"source\": 4, \"target\": 5}, {\"weight\": 11, \"source\": 4, \"target\": 6}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [202, 234], \"expectation_value\": -42.98247639219426, \"params\": null, \"bitstrings\": [\"100110101\", \"100010101\"], \"total_optimization_steps\": 100, \"probabilities\": [0.17712296465766092, 0.21581777408593364], \"optimization_time\": 206.91220378875732}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 15.0 * Z(1) + 5.5 * Z(0) + 23.5 * Z(2) + 18.0 * Z(3) + 0.5 * Z(4) + 22.5 * Z(5) + 13.0 * Z(6) + 5.5 * Z(7) + -1.0 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-89.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -79.0, \"smallest_bitstrings\": [\"100010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(23.9941) q[2];\nry(63.0778) q[5];\nry(13.1571) q[3];\nry(13.4204) q[1];\ncry(1.7253) q[1], q[5];\ncry(-17.8181) q[5], q[3];\nry(4.1019) q[6];\nry(-0.2246) q[7];\ncry(2.5876) q[3], q[7];\ncry(-41.9485) q[5], q[1];\ncry(-17.3656) q[3], q[1];\ncry(49.4743) q[3], q[5];\nry(-0.2188) q[0];\ncry(6.566) q[3], q[2];\ncry(49.64) q[5], q[2];\ncry(2.8463) q[3], q[0];\ncry(5.6269) q[5], q[0];\ncry(-19.1539) q[0], q[5];\ncry(-0.3298) q[5], q[7];\ncry(-0.3714) q[7], q[8];\ncry(-0.0848) q[3], q[8];\nry(0.0044) q[8];\ncry(-0.0229) q[5], q[8];\ncry(17.2551) q[0], q[7];\ncry(-0.1056) q[4], q[7];\ncry(-3.7704) q[3], q[6];\ncry(-0.0559) q[5], q[6];\ncry(-0.1505) q[0], q[6];\ncry(1.4941) q[4], q[6];\ncry(1.4141) q[7], q[0];\ncry(-0.5209) q[6], q[0];\ncry(-0.8355) q[4], q[0];\ncry(-1.2334) q[6], q[8];\ncry(0.8942) q[6], q[7];\ncry(-0.8571) q[7], q[1];\ncry(-3.0572) q[6], q[1];\ncry(-0.7793) q[1], q[4];\ncry(-0.0108) q[6], q[4];\ncry(-0.0359) q[5], q[4];\ncry(-0.0109) q[3], q[4];\nry(-0.0188) q[4];\ncry(-0.3068) q[0], q[1];\ncry(-0.9361) q[0], q[4];\ncry(-31.6305) q[7], q[5];\ncry(22.2374) q[6], q[5];\ncry(2.3502) q[7], q[4];\ncry(2.8466) q[4], q[1];\ncry(-10.8573) q[7], q[2];\ncry(4.5937) q[4], q[2];\ncry(1.2693) q[0], q[2];\ncry(1.6717) q[6], q[2];\ncry(-0.4711) q[2], q[1];\ncry(-0.2769) q[1], q[2];\ncry(2.7303) q[1], q[0];\ncry(1.9508) q[8], q[2];\ncry(2.0426) q[2], q[5];\ncry(1.068) q[4], q[5];\ncry(2.6803) q[2], q[4];\ncry(-0.7844) q[4], q[8];\ncry(-0.0837) q[2], q[7];\ncry(0.105) q[1], q[7];\ncry(-2.1267) q[7], q[3];\ncry(0.0655) q[1], q[3];\ncry(0.6561) q[2], q[3];\ncry(-0.0723) q[6], q[3];\ncry(1.3317) q[4], q[3];\ncry(0.2594) q[0], q[3];\ncry(-0.1776) q[2], q[0];\ncry(0.8026) q[8], q[3];\ncry(1.0258) q[8], q[5];\ncry(-0.1119) q[1], q[6];\ncry(-0.6769) q[8], q[0];\ncry(-1.9505) q[7], q[6];\ncry(-0.7164) q[2], q[6];\ncry(0.2426) q[8], q[1];\ncry(-0.1366) q[8], q[6];\ncry(-0.086) q[0], q[8];\ncry(0.0256) q[2], q[8];\ncry(-0.2582) q[8], q[4];\ncry(-0.0086) q[1], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}",{"$cut":{"chars":153547,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(23.9941) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(23.9941) q[2];\\nry(63.0778) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(23.9941) q[2];\\nry(63.0778) q[5];\\nry(13.1571) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(23.9941) q[2];\\nry(63.0778) q[5];\\nry(13.1571) q[3];\\nry(13.4204) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(23.9941) q[2];\\nry(63.0778) q[5];\\nry(13.1571) q[3];\\nry(13.4204) q[1];\\ncry(1.7253) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(23.9941) q[2];\\nry(63.0778) q[5];\\nry(13.1571) q[3];\\nry(13.4204) q[1];\\ncry(1.7253) q[1], q[5];\\ncry(-17.8181) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(23.9941) q[2];\\nry(63.0778) q[5];\\nry(13.1571) q[3];\\nry(13.4204) q[1];\\ncry(1.7253) q[1], q[5];\\ncry(-17.8181) q[5], q[3];\\nry(4.1019) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(23.9941) q[2];\\nry(63.0778) q[5];\\nry(13.1571) q[3];\\nry(13.4204) q[1];\\ncry(1.7253) q[1], q[5];\\ncry(-17.8181) q[5], q[3];\\nry(4.1019) q[6];\\nry(-0.2246) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(23.9941) q[2];\\nry(63.0778) q[5];\\nry(13.1571) q[3];\\nry(13.4204) q[1];\\ncry(1.7253) q[1], q[5];\\ncry(-17.8181) q[5], q[3];\\nry(4.1019) q[6];\\nry(-0.2246) q[7];\\ncry(2.5876) q[3], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclu"}}]
["ebed2b2f1ddd19051c3f8f1e6db408b8","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": []}","{\"states\": [443, 427], \"expectation_value\": -3.04630781205157, \"params\": [2.6756, 0.006200000000000001, 2.6095, 0.003, 1.5068000000000001, 0.0027, 2.3423000000000003, 0.0081, 1.5334, 0.0039000000000000003, 2.6677, 0.0034000000000000002, 1.5171000000000001, 0.0037, 2.6447000000000003, 0.0014, 2.6341, 0.0047, 0.008, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0.0058000000000000005, 0.0054, 0.0076, 0.0011, 0.0047], \"bitstrings\": [\"001000100\", \"001010100\"], \"total_optimization_steps\": 270, \"probabilities\": [0.08390913674725424, 0.0904287074856164], \"optimization_time\": 17.72649049758911}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 1.0 * Z(2) + 1.0 * Z(0) + 1.0 * Z(1) + 1.0 * Z(3) + 1.0 * Z(5) + 1.0 * Z(4) + 1.0 * Z(6) + 1.0 * Z(8) + 1.0 * Z(7)",18,9,1,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001010100\", \"001100010\", \"010001100\", \"010100001\", \"100010001\", \"100001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(2.6756) q[0];\nrz(0.0062) q[0];\nrx(2.6095) q[1];\nrz(0.003) q[1];\nrx(1.5068) q[2];\nrz(0.0027) q[2];\nrx(2.3423) q[3];\nrz(0.0081) q[3];\nrx(1.5334) q[4];\nrz(0.0039) q[4];\nrx(2.6677) q[5];\nrz(0.0034) q[5];\nrx(1.5171) q[6];\nrz(0.0037) q[6];\nrx(2.6447) q[7];\nrz(0.0014) q[7];\nrx(2.6341) q[8];\nrz(0.0047) q[8];\ncrz(0.008) q[8], q[0];\ncrz(0.0047) q[7], q[8];\ncrz(0.0011) q[6], q[7];\ncrz(0.0076) q[5], q[6];\ncrz(0.0054) q[4], q[5];\ncrz(0.0058) q[3], q[4];\ncrz(0.0072) q[2], q[3];\ncrz(0.0068) q[1], q[2];\ncrz(0.0052) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x17) q[7], q[8];\ncrz(x19) q[6], q[7];\ncrz(x20) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x22) q[3], q[4];\ncrz(x23) q[2], q[3];\ncrz(x24) q[1], q[2];\ncrz(x25) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 2}, {\"id\": 1}], \"edges\": []}}","{\"circuits\": [], \"gradients\": []}"]
["5894180811578217904","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[0, 1, 2, 3, 4, 5, 7, 8, 9, 10], [1, 3, 5, 6, 8, 9], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 3, 4, 5, 6, 7, 8, 10], [0, 1, 2, 3, 4, 6, 8, 9], [1, 2, 3, 4, 5, 6, 7, 9, 10]]}","{\"states\": [923, 1947], \"expectation_value\": -1.1380928535687984, \"params\": [0.9037000000000001, -0.3884, 0.8976000000000001, 0.0002, 1.3323, -0.1686, 1.7646000000000002, 0.0059, 1.5712000000000002, 0.0019, 1.5644, 0.0027, 1.5734000000000001, -0.0036000000000000003, 1.5715000000000001, 0.006900000000000001, 0.2877, -0.9977, 0.2807, 0.0025, 0.21280000000000002, -0.9915, 0.20670000000000002, 0.0021000000000000003, 1.5510000000000002, -0.0006000000000000001, 1.5843, 0.0028, 1.5929, 0.0199, 1.5593000000000001, 0.005200000000000001, 0.2918, -1.0112, 0.2746, 0.0057, 1.7482, -0.5094000000000001, 1.3729, 0.0036000000000000003, 1.5744, -0.0022, 1.5725, 0.009000000000000001, -0.3799, 0.0055000000000000005, 0.0019, 0.009600000000000001, -0.9583, 0.0024000000000000002, 0.0049, 0.0002, -1.0082, 0.0067, 0.0078000000000000005], \"bitstrings\": [\"10001100100\", \"00001100100\"], \"total_optimization_steps\": 210, \"probabilities\": [0.3742110318190802, 0.4870984125339491], \"optimization_time\": 36.15466928482056}","0.05119047619047619 * (Z(0) @ Z(1)) + 0.06507936507936507 * (Z(2) @ Z(1)) + 0.0623015873015873 * (Z(2) @ Z(0)) + 0.0873015873015873 * (Z(3) @ Z(1)) + 0.05119047619047619 * (Z(3) @ Z(0)) + 0.06507936507936507 * (Z(3) @ Z(2)) + 0.06507936507936507 * (Z(4) @ Z(1)) + 0.0623015873015873 * (Z(4) @ Z(0)) + 0.0761904761904762 * (Z(4) @ Z(2)) + 0.06507936507936507 * (Z(4) @ Z(3)) + 0.08055555555555555 * (Z(5) @ Z(1)) + 0.044444444444444446 * (Z(5) @ Z(0)) + 0.058333333333333334 * (Z(5) @ Z(2)) + 0.08055555555555555 * (Z(5) @ Z(3)) + 0.058333333333333334 * (Z(5) @ Z(4)) + 0.04722222222222222 * (Z(7) @ Z(1)) + 0.044444444444444446 * (Z(7) @ Z(0)) + 0.058333333333333334 * (Z(7) @ Z(2)) + 0.04722222222222222 * (Z(7) @ Z(3)) + 0.058333333333333334 * (Z(7) @ Z(4)) + 0.058333333333333334 * (Z(7) @ Z(5)) + 0.08452380952380953 * (Z(8) @ Z(1)) + 0.0623015873015873 * (Z(8) @ Z(0)) + 0.0623015873015873 * (Z(8) @ Z(2)) + 0.08452380952380953 * (Z(8) @ Z(3)) + 0.0623015873015873 * (Z(8) @ Z(4)) + 0.07777777777777778 * (Z(8) @ Z(5)) + 0.044444444444444446 * (Z(8) @ Z(7)) + 0.0873015873015873 * (Z(9) @ Z(1)) + 0.05119047619047619 * (Z(9) @ Z(0)) + 0.06507936507936507 * (Z(9) @ Z(2)) + 0.0873015873015873 * (Z(9) @ Z(3)) + 0.06507936507936507 * (Z(9) @ Z(4)) + 0.08055555555555555 * (Z(9) @ Z(5)) + 0.04722222222222222 * (Z(9) @ Z(7)) + 0.08452380952380953 * (Z(9) @ Z(8)) + 0.04722222222222222 * (Z(10) @ Z(1)) + 0.044444444444444446 * (Z(10) @ Z(0)) + 0.058333333333333334 * (Z(10) @ Z(2)) + 0.04722222222222222 * (Z(10) @ Z(3)) + 0.058333333333333334 * (Z(10) @ Z(4)) + 0.058333333333333334 * (Z(10) @ Z(5)) + 0.058333333333333334 * (Z(10) @ Z(7)) + 0.044444444444444446 * (Z(10) @ Z(8)) + 0.04722222222222222 * (Z(10) @ Z(9)) + 0.0873015873015873 * (Z(6) @ Z(1)) + 0.05119047619047619 * (Z(6) @ Z(0)) + 0.06507936507936507 * (Z(6) @ Z(2)) + 0.0873015873015873 * (Z(6) @ Z(3)) + 0.06507936507936507 * (Z(6) @ Z(4)) + 0.08055555555555555 * (Z(6) @ Z(5)) + 0.04722222222222222 * (Z(6) @ Z(7)) + 0.08452380952380953 * (Z(6) @ Z(8)) + 0.0873015873015873 * (Z(6) @ Z(9)) + 0.04722222222222222 * (Z(6) @ Z(10)) + 0.351388888888889 * Z(1) + 0.2625 * Z(0) + 0.31805555555555554 * Z(2) + 0.351388888888889 * Z(3) + 0.31805555555555554 * Z(4) + 0.3388888888888889 * Z(5) + 0.25555555555555565 * Z(7) + 0.3458333333333333 * Z(8) + 0.351388888888889 * Z(9) + 0.25555555555555565 * Z(10) + 0.35138888888888886 * Z(6)",7,11,1,"{\"smallest_eigenvalues\": [-1.2119047619047625, -1.2119047619047625], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.2007936507936519, \"smallest_bitstrings\": [\"00001100100\", \"00100100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.9037) q[0];\nrz(-0.3884) q[0];\nrx(1.3323) q[1];\nrz(-0.1686) q[1];\nrx(1.5712) q[2];\nrz(0.0019) q[2];\nrx(1.5734) q[3];\nrz(-0.0036) q[3];\nrx(0.2877) q[4];\nrz(-0.9977) q[4];\nrx(0.2128) q[5];\nrz(-0.9915) q[5];\nrx(1.551) q[6];\nrz(-0.0006) q[6];\nrx(1.5929) q[7];\nrz(0.0199) q[7];\nrx(0.2918) q[8];\nrz(-1.0112) q[8];\nrx(1.7482) q[9];\nrz(-0.5094) q[9];\nrx(1.5744) q[10];\nrz(-0.0022) q[10];\ncrz(-0.3799) q[1], q[0];\ncrz(0.0019) q[3], q[2];\ncrz(-0.9583) q[5], q[4];\ncrz(0.0049) q[7], q[6];\ncrz(-1.0082) q[9], q[8];\nrx(0.8976) q[0];\nrz(0.0002) q[0];\nrx(1.7646) q[1];\nrz(0.0059) q[1];\nrx(1.5644) q[2];\nrz(0.0027) q[2];\nrx(1.5715) q[3];\nrz(0.0069) q[3];\nrx(0.2807) q[4];\nrz(0.0025) q[4];\nrx(0.2067) q[5];\nrz(0.0021) q[5];\nrx(1.5843) q[6];\nrz(0.0028) q[6];\nrx(1.5593) q[7];\nrz(0.0052) q[7];\nrx(0.2746) q[8];\nrz(0.0057) q[8];\nrx(1.3729) q[9];\nrz(0.0036) q[9];\nrx(1.5725) q[10];\nrz(0.009) q[10];\ncrz(0.0055) q[2], q[1];\ncrz(0.0096) q[4], q[3];\ncrz(0.0024) q[6], q[5];\ncrz(0.0002) q[8], q[7];\ncrz(0.0067) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrz(x22) q[1], q[0];\ncrz(x5) q[3], q[2];\ncrz(x23) q[5], q[4];\ncrz(x24) q[7], q[6];\ncrz(x25) q[9], q[8];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x36) q[5];\nrz(x37) q[5];\nrx(x38) q[6];\nrz(x39) q[6];\nrx(x40) q[7];\nrz(x41) q[7];\nrx(x42) q[8];\nrz(x43) q[8];\nrx(x44) q[9];\nrz(x45) q[9];\nrx(x46) q[10];\nrz(x47) q[10];\ncrz(x48) q[2], q[1];\ncrz(x49) q[4], q[3];\ncrz(x50) q[6], q[5];\ncrz(x27) q[8], q[7];\ncrz(x51) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["4148495353850005104","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[9, 6], [1, 3], [0, 3], [0, 1], [2, 3], [9, 3], [3, 7], [4, 7], [6, 7], [8, 1], [0, 9], [2, 5], [4, 6], [9, 4], [9, 7], [8, 3], [1, 6], [3, 5], [5, 6], [4, 5], [0, 4], [2, 7], [3, 4]]}","{\"states\": [235, 234], \"expectation_value\": -3.9611299303435623, \"params\": [0.447, -0.0603, 0.0027, 0.001, 1.5082, 1.6271, 1.5832000000000002, 1.5542, 1.7348000000000001, 1.3964, -0.22940000000000002, 0.2238, 1.5644, 1.5808, -0.0031000000000000003, 0.0, 1.3332000000000002, 1.8114000000000001, 0.8442000000000001, 0.7721, -0.9233, 0.4247, -0.3507, 1.03, 1.3479, 0.374, -0.0067, 0.1421, 0.0427, 0.0574, -0.06910000000000001, 0.446, -0.5093, -0.021400000000000002, 0.0057, 0.1723, -0.5678000000000001, 0.0046, 0.6101, 0.12810000000000002], \"bitstrings\": [\"1100010100\", \"1100010101\"], \"total_optimization_steps\": 190, \"probabilities\": [0.4390018784668679, 0.4483887371993608], \"optimization_time\": 14.74381971359253}","0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(9) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(5)",14,10,1,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 26, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"1011101010\", \"1010101010\", \"0110100011\", \"0110100001\", \"1001011110\", \"1001011100\", \"0111100001\", \"1100010111\", \"1001001110\", \"1001001100\", \"0011101010\", \"0011101000\", \"0100110111\", \"1000011110\", \"1000010111\", \"0111101000\", \"1100010101\", \"0100110101\", \"1011001010\", \"0100010101\", \"1011101000\", \"0110110001\", \"0101010101\", \"1011001000\", \"0100010111\", \"0110110011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.447) q[0];\nry(0.0027) q[1];\nry(1.5082) q[2];\nry(1.5832) q[3];\nry(1.7348) q[4];\nry(-0.2294) q[5];\nry(1.5644) q[6];\nry(-0.0031) q[7];\nry(1.3332) q[8];\nry(0.8442) q[9];\ncrx(-0.9233) q[9], q[0];\ncrx(0.6101) q[8], q[9];\ncrx(-0.5678) q[7], q[8];\ncrx(0.0057) q[6], q[7];\ncrx(-0.5093) q[5], q[6];\ncrx(-0.0691) q[4], q[5];\ncrx(0.0427) q[3], q[4];\ncrx(-0.0067) q[2], q[3];\ncrx(1.3479) q[1], q[2];\ncrx(-0.3507) q[0], q[1];\nry(-0.0603) q[0];\nry(0.001) q[1];\nry(1.6271) q[2];\nry(1.5542) q[3];\nry(1.3964) q[4];\nry(0.2238) q[5];\nry(1.5808) q[6];\nry(0) q[7];\nry(1.8114) q[8];\nry(0.7721) q[9];\ncrx(0.4247) q[9], q[8];\ncrx(1.03) q[0], q[9];\ncrx(0.374) q[0], q[1];\ncrx(0.1421) q[1], q[2];\ncrx(0.0574) q[2], q[3];\ncrx(0.446) q[3], q[4];\ncrx(-0.0214) q[4], q[5];\ncrx(0.1723) q[5], q[6];\ncrx(0.0046) q[6], q[7];\ncrx(0.1281) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncrx(x10) q[9], q[0];\ncrx(x11) q[8], q[9];\ncrx(x12) q[7], q[8];\ncrx(x13) q[6], q[7];\ncrx(x14) q[5], q[6];\ncrx(x15) q[4], q[5];\ncrx(x16) q[3], q[4];\ncrx(x17) q[2], q[3];\ncrx(x18) q[1], q[2];\ncrx(x19) q[0], q[1];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncrx(x30) q[9], q[8];\ncrx(x31) q[0], q[9];\ncrx(x32) q[0], q[1];\ncrx(x33) q[1], q[2];\ncrx(x34) q[2], q[3];\ncrx(x35) q[3], q[4];\ncrx(x36) q[4], q[5];\ncrx(x37) q[5], q[6];\ncrx(x38) q[6], q[7];\ncrx(x39) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["ac1f174c7c8aefd4d3fe63daa83b99d5","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 9}]}","{\"states\": [504, 511], \"expectation_value\": -9.615701312990927, \"params\": null, \"bitstrings\": [\"000000111\", \"000000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.09588923371402847, 0.4656420535322759], \"optimization_time\": 174.93005180358887}","-1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * Z(3) + -1.0 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-11.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -10.5, \"smallest_bitstrings\": [\"000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[5], q[3];\ncry(1.5708) q[3], q[4];\ncry(1.5681) q[8], q[7];\ncry(1.231) q[7], q[8];\ncry(1.57) q[7], q[6];\ncry(1.5681) q[2], q[0];\nry(1.0829) q[2];\ncry(1.5701) q[0], q[1];\nry(0.3995) q[0];\ncry(0.5508) q[4], q[5];\nry(0.2378) q[3];\ncry(0.2867) q[0], q[2];\nry(0.2892) q[5];\ncry(0.1157) q[4], q[3];\ncry(0.4514) q[3], q[5];\nry(-0.1099) q[6];\ncry(0.1106) q[8], q[6];\ncry(-0.0305) q[1], q[3];\ncry(-0.1086) q[4], q[6];\ncry(0.0932) q[2], q[1];\nry(-0.0689) q[1];\ncry(-0.083) q[1], q[5];\ncry(-0.0244) q[6], q[3];\nry(-0.0491) q[4];\ncry(0.0777) q[5], q[4];\ncry(-0.0758) q[1], q[4];\ncry(-0.0535) q[4], q[2];\ncry(-0.0201) q[4], q[0];\ncry(0.027) q[1], q[0];\ncry(-0.0255) q[6], q[0];\ncry(-0.0352) q[6], q[5];\ncry(-0.0146) q[2], q[3];\ncry(-0.0176) q[6], q[2];\ncry(0.035) q[1], q[2];\ncry(-0.0341) q[8], q[2];\ncry(-0.0136) q[1], q[6];\ncry(-0.0053) q[5], q[0];\ncry(-0.0112) q[4], q[1];\ncry(-0.0113) q[6], q[4];\nry(0.0013) q[7];\ncry(-0.0099) q[2], q[5];\ncry(-0.0031) q[8], q[3];\ncry(-0.0025) q[8], q[0];\ncry(-0.0069) q[5], q[2];\ncry(0.0116) q[3], q[6];\ncry(-0.01) q[2], q[6];\ncry(-0.0024) q[6], q[1];\ncry(-0.0021) q[3], q[0];\ncry(0.0082) q[5], q[6];\ncry(-0.0058) q[0], q[6];\nry(0.0002) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"node\": 3}",{"$cut":{"chars":113753,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[3];\\ncry(1.5708) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5681) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5681) q[8], q[7];\\ncry(1.231) q[7], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5681) q[8], q[7];\\ncry(1.231) q[7], q[8];\\ncry(1.57) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5681) q[8], q[7];\\ncry(1.231) q[7], q[8];\\ncry(1.57) q[7], q[6];\\ncry(1.5681) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5681) q[8], q[7];\\ncry(1.231) q[7], q[8];\\ncry(1.57) q[7], q[6];\\ncry(1.5681) q[2], q[0];\\nry(1.0829) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5681) q[8], q[7];\\ncry(1.231) q[7], q[8];\\ncry(1.57) q[7], q[6];\\ncry(1.5681) q[2], q[0];\\nry(1.0829) q[2];\\ncry(1.5701) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5681) q[8], q[7];\\ncry(1.231) q[7], q[8];\\ncry(1.57) q[7], q[6];\\ncry(1.5681) q[2], q[0];\\nry(1.0829) q[2];\\ncry(1.5701) q[0], q[1];\\nry(0.3995) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q["}}]
["04943d12be9331cc9245456617bb8845","max_flow","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [476, 958], \"expectation_value\": -24.02738615215402, \"params\": null, \"bitstrings\": [\"1111000100011\", \"1110001000001\"], \"total_optimization_steps\": 100, \"probabilities\": [0.15696165053451847, 0.42690998683539116], \"optimization_time\": 442.1918320655823}","-1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10)) + -2.0 * (Z(7) @ Z(11)) + 2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(0)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 2.0 * (Z(9) @ Z(5)) + 1.0 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(0)) + 1.0 * (Z(9) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (Z(12) @ Z(11)) + -0.5 * (Z(12) @ Z(6)) + -1.0 * (Z(12) @ Z(7)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * Z(3) + 1.0 * Z(10) + 2.0 * Z(11) + 11.0 * Z(5) + 5.5 * Z(4) + -4.125 * Z(0) + 4.0 * Z(6) + 8.0 * Z(7) + 4.0 * Z(8) + 8.0 * Z(9) + 0.0 * Z(12) + -0.75 * Z(2) + -0.375 * Z(1)",1,13,1,"{\"smallest_eigenvalues\": [-30.5, -30.5, -30.5, -30.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -30.25, \"smallest_bitstrings\": [\"1111000010100\", \"1110000010000\", \"1111001000101\", \"1110001000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-2.4156) q[5];\nry(-1.3446) q[7];\nry(10.4071) q[9];\nry(3.2245) q[4];\nry(0.2846) q[6];\ncry(-0.6534) q[6], q[5];\ncry(0.3327) q[0], q[5];\nry(-0.0267) q[0];\nry(0.0315) q[8];\ncry(-0.1166) q[12], q[5];\ncry(-0.0698) q[11], q[5];\ncry(-0.0386) q[10], q[5];\ncry(-0.0193) q[3], q[5];\ncry(-0.0094) q[2], q[5];\ncry(-0.0045) q[1], q[5];\ncry(-0.1247) q[8], q[5];\ncry(-0.65) q[4], q[5];\ncry(-1.7106) q[6], q[4];\ncry(-0.0362) q[4], q[6];\ncry(-1.4292) q[4], q[0];\ncry(1.545) q[4], q[8];\ncry(0.9924) q[8], q[6];\ncry(-3.9468) q[8], q[9];\ncry(0.4114) q[6], q[9];\ncry(-1.1226) q[9], q[5];\ncry(1.0197) q[4], q[9];\ncry(1.5708) q[3], q[11];\ncry(-0.8079) q[11], q[0];\ncry(1.231) q[11], q[3];\nry(-1.5637) q[12];\ncry(-0.4833) q[8], q[4];\nry(-1.5486) q[2];\nry(-1.5158) q[1];\ncry(-0.1718) q[5], q[9];\ncry(0.3247) q[11], q[9];\ncry(0.3526) q[6], q[0];\ncry(-0.439) q[11], q[8];\ncry(0.4067) q[9], q[8];\ncry(-0.3662) q[3], q[8];\ncry(1.3837) q[6], q[10];\ncry(2.9154) q[11], q[7];\ncry(-1.2137) q[7], q[5];\ncry(-0.7201) q[10], q[0];\nry(0.269) q[10];\ncry(-0.6237) q[10], q[8];\ncry(-0.655) q[7], q[9];\ncry(0.3614) q[9], q[4];\ncry(0.1909) q[10], q[9];\ncry(0.3702) q[6], q[8];\ncry(-0.4275) q[5], q[8];\ncry(0.5692) q[10], q[6];\ncry(0.9463) q[7], q[6];\ncry(0.463) q[9], q[0];\ncry(1.1419) q[3], q[6];\ncry(0.5541) q[7], q[8];\ncry(0.2673) q[3], q[0];\ncry(0.3968) q[11], q[6];\ncry(-0.1595) q[10], q[4];\ncry(-0.1796) q[5], q[0];\ncry(0.208) q[7], q[10];\ncry(-0.2069) q[4], q[10];\ncry(0.1629) q[5], q[10];\ncry(0.1337) q[7], q[0];\ncry(0.4134) q[0], q[9];\ncry(-0.0927) q[9], q[10];\ncry(-0.1116) q[9], q[6];\ncry(0.1312) q[7], q[4];\ncry(0.1062) q[3], q[10];\ncry(-0.0158) q[4], q[7];\ncry(-0.2741) q[0], q[8];\ncry(-0.0441) q[3], q[9];\ncry(-0.0442) q[6], q[7];\ncry(-0.004) q[3], q[7];\ncry(0.0169) q[10], q[7];\ncry(-0.0534) q[10], q[1];\ncry(0.1578) q[0], q[10];\ncry(-0.0374) q[8], q[0];\ncry(0.1675) q[0], q[6];\ncry(-0.0069) q[9], q[7];\ncry(-0.0222) q[10], q[2];\ncry(0.0778) q[0], q[7];\nry(0.0001) q[11];\ncry(0.0003) q[10], q[11];\ncry(-0.0145) q[8], q[10];\ncry(0.0001) q[8], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":168156,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.4071) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.4071) q[9];\\nry(3.2245) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.4071) q[9];\\nry(3.2245) q[4];\\nry(0.2846) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.4071) q[9];\\nry(3.2245) q[4];\\nry(0.2846) q[6];\\ncry(-0.6534) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.4071) q[9];\\nry(3.2245) q[4];\\nry(0.2846) q[6];\\ncry(-0.6534) q[6], q[5];\\ncry(0.3327) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\"}}]
["6906407679808988270","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[2, 6], [0, 8], [0, 2], [1, 2], [1, 7], [2, 5], [1, 6], [0, 4], [8, 1], [1, 3], [9, 4]]}","{\"states\": [254, 238], \"expectation_value\": -3.9291428938769224, \"params\": [-0.0066, 0.0004, -0.0074, 0.0006000000000000001, 1.3336000000000001, 1.3607, 1.5598, 1.5534000000000001, 1.4224, 1.659, 0.8604, 0.6572, 1.5783, 1.5912000000000002, 1.4727000000000001, 1.5324, 1.5405, 1.5993000000000002, 0.1797, -0.155, 0.0162, 0.3028, 0.0781, -0.015700000000000002, -0.7915000000000001, -0.0651, 0.28090000000000004, 0.7266, 0.6594, 0.3063, 0.3529, 0.193, 0.6025, 0.0557, 0.7365, 0.1762, 0.7502000000000001, 0.3825, 0.18080000000000002, 0.0213], \"bitstrings\": [\"1100000001\", \"1100010001\"], \"total_optimization_steps\": 170, \"probabilities\": [0.4543287451159522, 0.4600875094659182], \"optimization_time\": 8.272184610366821}","0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(9)",14,10,1,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"0011100110\", \"1100011001\", \"1100010001\", \"0011101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(-0.0066) q[0];\nry(-0.0074) q[1];\nry(1.3336) q[2];\nry(1.5598) q[3];\nry(1.4224) q[4];\nry(0.8604) q[5];\nry(1.5783) q[6];\nry(1.4727) q[7];\nry(1.5405) q[8];\nry(0.1797) q[9];\ncrx(0.0162) q[9], q[0];\ncrx(0.1808) q[8], q[9];\ncrx(0.7502) q[7], q[8];\ncrx(0.7365) q[6], q[7];\ncrx(0.6025) q[5], q[6];\ncrx(0.3529) q[4], q[5];\ncrx(0.6594) q[3], q[4];\ncrx(0.2809) q[2], q[3];\ncrx(-0.7915) q[1], q[2];\ncrx(0.0781) q[0], q[1];\nry(0.0004) q[0];\nry(0.0006) q[1];\nry(1.3607) q[2];\nry(1.5534) q[3];\nry(1.659) q[4];\nry(0.6572) q[5];\nry(1.5912) q[6];\nry(1.5324) q[7];\nry(1.5993) q[8];\nry(-0.155) q[9];\ncrx(0.3028) q[9], q[8];\ncrx(-0.0157) q[0], q[9];\ncrx(-0.0651) q[0], q[1];\ncrx(0.7266) q[1], q[2];\ncrx(0.3063) q[2], q[3];\ncrx(0.193) q[3], q[4];\ncrx(0.0557) q[4], q[5];\ncrx(0.1762) q[5], q[6];\ncrx(0.3825) q[6], q[7];\ncrx(0.0213) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncrx(x10) q[9], q[0];\ncrx(x11) q[8], q[9];\ncrx(x12) q[7], q[8];\ncrx(x13) q[6], q[7];\ncrx(x14) q[5], q[6];\ncrx(x15) q[4], q[5];\ncrx(x16) q[3], q[4];\ncrx(x17) q[2], q[3];\ncrx(x18) q[1], q[2];\ncrx(x19) q[0], q[1];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncrx(x30) q[9], q[8];\ncrx(x31) q[0], q[9];\ncrx(x32) q[0], q[1];\ncrx(x33) q[1], q[2];\ncrx(x34) q[2], q[3];\ncrx(x35) q[3], q[4];\ncrx(x36) q[4], q[5];\ncrx(x37) q[5], q[6];\ncrx(x38) q[6], q[7];\ncrx(x39) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["5599bf10ca71927ac876cacb8b12fa55","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [22, 69], \"expectation_value\": -1.7676389138815616, \"params\": [[0.0641, 0.0702, 0.0765], [-0.057600000000000005, -0.052000000000000005, -0.059800000000000006]], \"bitstrings\": [\"1101001\", \"0111010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01520711769709883, 0.015828097703021293], \"optimization_time\": 5.757674932479858}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -2.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(4) + -1.5 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-6.5, -6.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"1101001\", \"0111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.0641) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0641) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0641) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0641) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0641) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(0.0641) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0641) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0641) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(0.0641) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0641) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(0.0641) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0641) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0641) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0641) q[6];\ncx q[5], q[6];\nrz(-0.2564) q[1];\nrz(-0.1923) q[0];\nrz(-0.1282) q[2];\nrz(-0.3205) q[3];\nrz(-0.1923) q[5];\nrz(-0.0641) q[4];\nrz(-0.1923) q[6];\nh q[0];\nrz(-0.1152) q[0];\nh q[0];\nh q[1];\nrz(-0.1152) q[1];\nh q[1];\nh q[2];\nrz(-0.1152) q[2];\nh q[2];\nh q[3];\nrz(-0.1152) q[3];\nh q[3];\nh q[4];\nrz(-0.1152) q[4];\nh q[4];\nh q[5];\nrz(-0.1152) q[5];\nh q[5];\nh q[6];\nrz(-0.1152) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.0702) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0702) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0702) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0702) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0702) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(0.0702) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0702) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0702) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(0.0702) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0702) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(0.0702) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0702) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0702) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0702) q[6];\ncx q[5], q[6];\nrz(-0.2808) q[1];\nrz(-0.2106) q[0];\nrz(-0.1404) q[2];\nrz(-0.351) q[3];\nrz(-0.2106) q[5];\nrz(-0.0702) q[4];\nrz(-0.2106) q[6];\nh q[0];\nrz(-0.104) q[0];\nh q[0];\nh q[1];\nrz(-0.104) q[1];\nh q[1];\nh q[2];\nrz(-0.104) q[2];\nh q[2];\nh q[3];\nrz(-0.104) q[3];\nh q[3];\nh q[4];\nrz(-0.104) q[4];\nh q[4];\nh q[5];\nrz(-0.104) q[5];\nh q[5];\nh q[6];\nrz(-0.104) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.0765) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0765) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0765) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0765) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0765) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(0.0765) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0765) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0765) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(0.0765) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0765) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(0.0765) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0765) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0765) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0765) q[6];\ncx q[5], q[6];\nrz(-0.306) q[1];\nrz(-0.2295) q[0];\nrz(-0.153) q[2];\nrz(-0.3825) q[3];\nrz(-0.2295) q[5];\nrz(-0.0765) q[4];\nrz(-0.2295) q[6];\nh q[0];\nrz(-0.1196) q[0];\nh q[0];\nh q[1];\nrz(-0.1196) q[1];\nh q[1];\nh q[2];\nrz(-0.1196) q[2];\nh q[2];\nh q[3];\nrz(-0.1196) q[3];\nh q[3];\nh q[4];\nrz(-0.1196) q[4];\nh q[4];\nh q[5];\nrz(-0.1196) q[5];\nh q[5];\nh q[6];\nrz(-0.1196) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x2) q[5];\nrz(x5) q[4];\nrz(x2) q[6];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x7) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x7) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x7) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x7) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x7) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x7) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x7) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x7) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x7) q[6];\ncx q[5], q[6];\nrz(x8) q[1];\nrz(x9) q[0];\nrz(x10) q[2];\nrz(x11) q[3];\nrz(x9) q[5];\nrz(x12) q[4];\nrz(x9) q[6];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x14) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x14) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x14) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x14) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x14) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x14) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x14) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x14) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x14) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x14) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x14) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x14) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x14) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x14) q[6];\ncx q[5], q[6];\nrz(x15) q[1];\nrz(x16) q[0];\nrz(x17) q[2];\nrz(x18) q[3];\nrz(x16) q[5];\nrz(x19) q[4];\nrz(x16) q[6];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["e6db2dfa08ae604c90d51443a84ac3aa","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 7}, {\"source\": 9, \"target\": 10}]}","{\"states\": [127, 895], \"expectation_value\": -16.148276845510008, \"params\": null, \"bitstrings\": [\"1110000000\", \"0010000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.056403061430086616, 0.525069991821818], \"optimization_time\": 191.35102701187134}","-2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(9) + -0.5 * Z(2)",5,10,1,"{\"smallest_eigenvalues\": [-23.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -22.0, \"smallest_bitstrings\": [\"0010000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[5], q[0];\ncry(1.5708) q[0], q[4];\ncry(1.5357) q[4], q[3];\ncry(1.1916) q[4], q[5];\ncry(-1.0432) q[4], q[0];\nry(-0.0813) q[0];\ncry(0.0417) q[3], q[0];\ncry(1.2793) q[1], q[0];\ncry(0.6324) q[9], q[0];\ncry(1.5706) q[9], q[6];\ncry(1.5708) q[6], q[7];\ncry(1.5709) q[7], q[8];\ncry(-0.727) q[8], q[0];\ncry(0.1848) q[7], q[0];\ncry(0.5599) q[6], q[0];\ncry(0.9721) q[7], q[9];\ncry(-0.5782) q[7], q[6];\ncry(-0.048) q[8], q[6];\nry(-0.1616) q[6];\ncry(0.1762) q[3], q[6];\ncry(0.2392) q[4], q[6];\ncry(0.4581) q[5], q[6];\ncry(0.4039) q[2], q[0];\ncry(1.3252) q[0], q[1];\ncry(0.128) q[1], q[6];\ncry(0.2603) q[2], q[6];\nry(-1.4341) q[2];\ncry(0.3194) q[6], q[9];\nry(-0.206) q[1];\ncry(0.2513) q[5], q[1];\ncry(-0.2046) q[8], q[1];\ncry(0.1226) q[1], q[5];\nry(-0.0823) q[8];\ncry(0.0928) q[6], q[8];\ncry(-0.0878) q[3], q[8];\ncry(-0.0374) q[0], q[6];\ncry(-0.1499) q[8], q[9];\ncry(0.1739) q[9], q[1];\ncry(-0.1279) q[3], q[1];\ncry(0.0776) q[8], q[7];\ncry(0.0726) q[9], q[8];\ncry(-0.0607) q[9], q[7];\ncry(-0.0624) q[4], q[8];\ncry(0.1358) q[5], q[9];\ncry(0.061) q[0], q[3];\nry(-0.0982) q[3];\ncry(0.07) q[1], q[3];\ncry(-0.0642) q[8], q[3];\nry(0.5223) q[4];\ncry(0.1899) q[8], q[4];\ncry(0.0678) q[3], q[4];\ncry(0.0988) q[5], q[4];\ncry(-0.2994) q[7], q[4];\ncry(-0.1081) q[1], q[4];\ncry(-0.3351) q[6], q[4];\ncry(-0.1164) q[9], q[4];\ncry(0.1061) q[6], q[1];\nry(-0.0843) q[9];\ncry(0.0573) q[5], q[3];\ncry(-0.0747) q[7], q[1];\nry(0.0389) q[7];\ncry(-0.0386) q[7], q[3];\ncry(-0.1589) q[1], q[2];\ncry(0.0656) q[0], q[9];\ncry(-0.0237) q[0], q[7];\ncry(-0.0198) q[0], q[5];\ncry(0.0324) q[9], q[5];\ncry(-0.0236) q[3], q[5];\ncry(0.0241) q[5], q[7];\ncry(-0.0187) q[1], q[7];\ncry(0.0271) q[4], q[1];\ncry(0.0182) q[6], q[5];\nry(-0.0143) q[5];\ncry(0.0122) q[3], q[7];\ncry(0.0134) q[0], q[8];\ncry(-0.0168) q[1], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"node\": 9}",{"$cut":{"chars":152417,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[5], q[0];\\ncry(1.5708) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[5], q[0];\\ncry(1.5708) q[0], q[4];\\ncry(1.5357) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[5], q[0];\\ncry(1.5708) q[0], q[4];\\ncry(1.5357) q[4], q[3];\\ncry(1.1916) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[5], q[0];\\ncry(1.5708) q[0], q[4];\\ncry(1.5357) q[4], q[3];\\ncry(1.1916) q[4], q[5];\\ncry(-1.0432) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[5], q[0];\\ncry(1.5708) q[0], q[4];\\ncry(1.5357) q[4], q[3];\\ncry(1.1916) q[4], q[5];\\ncry(-1.0432) q[4], q[0];\\nry(-0.0813) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[5], q[0];\\ncry(1.5708) q[0], q[4];\\ncry(1.5357) q[4], q[3];\\ncry(1.1916) q[4], q[5];\\ncry(-1.0432) q[4], q[0];\\nry(-0.0813) q[0];\\ncry(0.0417) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[5], q[0];\\ncry(1.5708) q[0], q[4];\\ncry(1.5357) q[4], q[3];\\ncry(1.1916) q[4], q[5];\\ncry(-1.0432) q[4], q[0];\\nry(-0.0813) q[0];\\ncry(0.0417) q[3], q[0];\\ncry(1.2793) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\"}}]
["60c88ab22b149e82bb7da24a7941f270","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [70, 38], \"expectation_value\": -0.3768810581325747, \"params\": [[-0.07740000000000001], [0.07590000000000001]], \"bitstrings\": [\"0111001\", \"1011001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009430395502179419, 0.00943039550217942], \"optimization_time\": 1.642801284790039}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0111001\", \"1011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0774) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0774) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0774) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0774) q[3];\ncx q[0], q[3];\ncx q[1], q[6];\nrz(-0.0774) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(-0.0774) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(-0.0774) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0774) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.0774) q[4];\ncx q[6], q[4];\ncx q[2], q[5];\nrz(-0.0774) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0774) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(-0.0774) q[5];\ncx q[6], q[5];\nrz(0.1548) q[1];\nrz(0.1548) q[0];\nrz(0.2322) q[2];\nrz(0.2322) q[3];\nrz(0.2322) q[6];\nrz(0.1548) q[4];\nrz(0.1548) q[5];\nh q[0];\nrz(0.1518) q[0];\nh q[0];\nh q[1];\nrz(0.1518) q[1];\nh q[1];\nh q[2];\nrz(0.1518) q[2];\nh q[2];\nh q[3];\nrz(0.1518) q[3];\nh q[3];\nh q[4];\nrz(0.1518) q[4];\nh q[4];\nh q[5];\nrz(0.1518) q[5];\nh q[5];\nh q[6];\nrz(0.1518) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x2) q[6];\nrz(x1) q[4];\nrz(x1) q[5];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["b80d831cd9b07b1f2aaf1d64249cf046","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [42, 106], \"expectation_value\": -1.6396914489961478, \"params\": [0.0025, 0.5702, 0.7993, 0.0041, 0.8, 0.0002, 0.0024000000000000002, 0.5995, 0.8091, 0.007, 0.5651, 0.21450000000000002, 0.7979, 0.23450000000000001, 0.30210000000000004, 0.48500000000000004, 0.0025, 0.0063, 0.7972, 0.0053, 0.7977000000000001, 0.0085, 0.0024000000000000002, 0.0006000000000000001, 0.8076, 0.0089, 0.5675, 0.0012000000000000001, 0.8043, 0.0061, 0.2962, 0.008, 0.0025, 0.0036000000000000003, 0.002, 0.0009000000000000001, -0.5809000000000001, 0.0008, 0.0024000000000000002, -0.0022, -0.1781, 0.0019, 0.0033, 0.27740000000000004, 0.5209, 0.005200000000000001, 0.0094, 0.0044, 0.0088, 0.0058000000000000005, 0.0041, 0.0035, 0.009000000000000001, 0.0057, 0.0025, 0.005200000000000001, 0.0025, 0.0024000000000000002, 0.0013000000000000002, 0.006900000000000001, 0.0078000000000000005, 0.0032, 0.0041, 0.0079], \"bitstrings\": [\"11010101\", \"10010101\"], \"total_optimization_steps\": 80, \"probabilities\": [0.04478326769413503, 0.04714317436809887], \"optimization_time\": 8.360585689544678}","0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(1)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(2)) + -0.0625 * (Z(0) @ Z(4) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(4) @ Z(1) @ Z(2)) + -0.0625 * (Z(4) @ Z(1) @ Z(3)) + -0.0625 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(4) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(4) @ Z(1) @ Z(3)) + 0.0625 * (Z(0) @ Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -0.5625 * Z(0) + 0.1875 * Z(1) + -0.0625 * Z(2) + -0.5625 * Z(3) + -0.0625 * Z(4) + -0.25 * Z(5) + -0.25 * Z(6) + -0.5 * Z(7)",16,8,2,"{\"smallest_eigenvalues\": [-3.8125], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.8125, \"smallest_bitstrings\": [\"10010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0025) q[0];\nrz(0.5702) q[0];\nrx(0.7993) q[1];\nrz(0.0041) q[1];\nrx(0.8) q[2];\nrz(0.0002) q[2];\nrx(0.0024) q[3];\nrz(0.5995) q[3];\nrx(0.8091) q[4];\nrz(0.007) q[4];\nrx(0.5651) q[5];\nrz(0.2145) q[5];\nrx(0.7979) q[6];\nrz(0.2345) q[6];\nrx(0.3021) q[7];\nrz(0.485) q[7];\ncrz(0.0025) q[1], q[0];\ncrz(-0.5809) q[3], q[2];\ncrz(-0.1781) q[5], q[4];\ncrz(0.5209) q[7], q[6];\ncrz(0.0009) q[2], q[1];\ncrz(-0.0022) q[4], q[3];\ncrz(0.2774) q[6], q[5];\nrx(0.0025) q[0];\nrz(0.0063) q[0];\nrx(0.7972) q[1];\nrz(0.0053) q[1];\nrx(0.7977) q[2];\nrz(0.0085) q[2];\nrx(0.0024) q[3];\nrz(0.0006) q[3];\nrx(0.8076) q[4];\nrz(0.0089) q[4];\nrx(0.5675) q[5];\nrz(0.0012) q[5];\nrx(0.8043) q[6];\nrz(0.0061) q[6];\nrx(0.2962) q[7];\nrz(0.008) q[7];\ncrz(0.0088) q[1], q[0];\ncrz(0.009) q[3], q[2];\ncrz(0.0025) q[5], q[4];\ncrz(0.0078) q[7], q[6];\ncrz(0.0035) q[2], q[1];\ncrz(0.0052) q[4], q[3];\ncrz(0.0069) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x0) q[1], q[0];\ncrz(x16) q[3], q[2];\ncrz(x17) q[5], q[4];\ncrz(x18) q[7], q[6];\ncrz(x19) q[2], q[1];\ncrz(x20) q[4], q[3];\ncrz(x21) q[6], q[5];\nrx(x0) q[0];\nrz(x22) q[0];\nrx(x23) q[1];\nrz(x24) q[1];\nrx(x25) q[2];\nrz(x26) q[2];\nrx(x6) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\nrx(x34) q[7];\nrz(x35) q[7];\ncrz(x36) q[1], q[0];\ncrz(x37) q[3], q[2];\ncrz(x0) q[5], q[4];\ncrz(x38) q[7], q[6];\ncrz(x39) q[2], q[1];\ncrz(x40) q[4], q[3];\ncrz(x41) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["d6a0416211a923ad5745888e36470119","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 6, \"target\": 9}, {\"source\": 8, \"target\": 9}]}","{\"states\": [504, 511], \"expectation_value\": -0.09663924400753071, \"params\": [[-0.0158], [0.0155]], \"bitstrings\": [\"000000111\", \"000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0020254127781950382, 0.002027387994519636], \"optimization_time\": 2.0815999507904053}","-2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(6) + 1.0 * Z(8)",5,9,1,"{\"smallest_eigenvalues\": [-21.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -20.0, \"smallest_bitstrings\": [\"000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(0.0632) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(-0.0158) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0632) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.079) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.0158) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(-0.0158) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(-0.0158) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0158) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(0.079) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.079) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(-0.0158) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(-0.0158) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(0.0632) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0632) q[4];\ncx q[3], q[4];\ncx q[7], q[6];\nrz(0.0632) q[6];\ncx q[7], q[6];\ncx q[7], q[8];\nrz(0.0474) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(0.0632) q[8];\ncx q[6], q[8];\nrz(-0.0158) q[2];\nrz(-0.0158) q[0];\nrz(-0.0158) q[5];\nrz(-0.0158) q[1];\nrz(-0.0158) q[3];\nrz(-0.0158) q[4];\nrz(-0.0316) q[7];\nrz(0.0474) q[6];\nrz(-0.0316) q[8];\nh q[0];\nrz(0.031) q[0];\nh q[0];\nh q[1];\nrz(0.031) q[1];\nh q[1];\nh q[2];\nrz(0.031) q[2];\nh q[2];\nh q[3];\nrz(0.031) q[3];\nh q[3];\nh q[4];\nrz(0.031) q[4];\nh q[4];\nh q[5];\nrz(0.031) q[5];\nh q[5];\nh q[6];\nrz(0.031) q[6];\nh q[6];\nh q[7];\nrz(0.031) q[7];\nh q[7];\nh q[8];\nrz(0.031) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x2) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(x1) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[7], q[8];\nrz(x3) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[5];\nrz(x1) q[1];\nrz(x1) q[3];\nrz(x1) q[4];\nrz(x4) q[7];\nrz(x3) q[6];\nrz(x4) q[8];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 7}","{\"circuits\": [], \"gradients\": []}"]
["90ed954541db23a75eecb07977c28089","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [3791, 3887], \"expectation_value\": -0.40364448955729515, \"params\": [[-0.0835, -0.0777, -0.0746], [0.0795, 0.07390000000000001, 0.0693]], \"bitstrings\": [\"000100110000\", \"000011010000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0005677207525938194, 0.0005677207525938201], \"optimization_time\": 36.925127029418945}","0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0625 * (Z(1) @ Z(3) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(2) @ Z(1) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(1) @ Z(9)) + 0.125 * (Z(7) @ Z(8)) + 0.125 * (Z(7) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(7) @ Z(1) @ Z(8)) + -0.125 * (Z(7) @ Z(1) @ Z(9)) + -0.125 * (Z(1) @ Z(9) @ Z(8)) + -0.125 * (Z(7) @ Z(8) @ Z(9)) + 0.125 * (Z(7) @ Z(1) @ Z(9) @ Z(8)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(2) @ Z(10)) + 0.125 * (Z(2) @ Z(11)) + 0.125 * (Z(7) @ Z(10)) + 0.125 * (Z(7) @ Z(11)) + 0.125 * (Z(10) @ Z(11)) + -0.125 * (Z(7) @ Z(2) @ Z(10)) + -0.125 * (Z(7) @ Z(2) @ Z(11)) + -0.125 * (Z(2) @ Z(10) @ Z(11)) + -0.125 * (Z(7) @ Z(10) @ Z(11)) + 0.125 * (Z(7) @ Z(2) @ Z(10) @ Z(11)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(3) @ Z(10)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(8) @ Z(10)) + -0.125 * (Z(8) @ Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(10) @ Z(5)) + -0.125 * (Z(8) @ Z(3) @ Z(10)) + -0.125 * (Z(8) @ Z(10) @ Z(5)) + 0.125 * (Z(8) @ Z(3) @ Z(10) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(9) @ Z(4)) + 0.125 * (Z(11) @ Z(4)) + 0.125 * (Z(9) @ Z(6)) + 0.125 * (Z(11) @ Z(6)) + 0.125 * (Z(9) @ Z(11)) + -0.125 * (Z(9) @ Z(4) @ Z(6)) + -0.125 * (Z(4) @ Z(11) @ Z(6)) + -0.125 * (Z(9) @ Z(11) @ Z(4)) + -0.125 * (Z(9) @ Z(11) @ Z(6)) + 0.125 * (Z(9) @ Z(4) @ Z(11) @ Z(6)) + 0.1875 * Z(0) + 0.3125 * Z(1) + 0.3125 * Z(2) + 0.3125 * Z(3) + 0.3125 * Z(4) + 0.125 * Z(5) + 0.125 * Z(6) + 0.25 * Z(7) + 0.25 * Z(8) + 0.25 * Z(9) + 0.25 * Z(10) + 0.25 * Z(11)",1,12,3,"{\"smallest_eigenvalues\": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -2.8125, \"smallest_bitstrings\": [\"010001000001\", \"000011010000\", \"100000000110\", \"001000101000\", \"100000001001\", \"000100110000\", \"001001000100\", \"010000100010\"]}",{"$cut":{"chars":17394,"head":"OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[1], q[0];\nrz(-0.0104) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(-0.0104) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(-0.0104) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(-0.0104) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(-0.0104) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(-0.0104) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.0104) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(-0.0104) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0104) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(-0.0104) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0104) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(0.0104) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(0.0104) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(0.0104) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(0.0104) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0104) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(0.0104) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(0.0104) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(0.0104) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(0.0104) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0104) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0104) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(-0.0104) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(-0.0104) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.0104) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(0.0104) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(-0.0418) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(-0.0418) q[0];\ncx q[6], q[0];\ncx q[6], q[5];\nrz(-0.0418) q[5];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[0];\nrz(0.0418) q[0];\ncx q[5], q[0];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(-0.0209) q[7];\ncx q[1], q[7];\ncx q[8], q[1];\nrz(-0.0209) q[1];\ncx q[8], q[1];\ncx q[9], q[1];\nrz(-0.0209) q[1];\ncx q[9], q[1];\ncx q[8], q[7];\nrz(-0.0209) q[7];\ncx q[8], q[7];\ncx q[9], q[7];\nrz(-0.0209) q[7];\ncx q[9], q[7];\ncx q[9], q[8];\nrz(-0.0209) q[8];\ncx q[9], q[8];\ncx q[8], q[1];\ncx q[1], q[7];\nrz(0.0209) q[7];\ncx q[1], q[7];\ncx q[8], q[1];\ncx q[9], q[1];\ncx q[1], q[7];\nrz(0.0209) q[7];\ncx q[1], q[7];\ncx q[9], q[1];\ncx q[8], q[9];\ncx q[9], q[1];\nrz(0.0209) q[1];\ncx q[9], q[1];\ncx q[8], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\nrz(0.0209) q[7];\ncx q[8], q[7];\ncx q[9], q[8];\ncx q[8], q[9];\ncx q[9], q[1];\ncx q[1], q[7];\nrz(-0.0209) q[7];\ncx q[1], q[7];\ncx q[9], q[1];\ncx q[8], q[9];\ncx q[2], q[7];\nrz(-0.0209) q[7];\ncx q[2], q[7];\ncx q[10], q[2];\nrz(-0.0209) q[2];\ncx q[10], q[2];\ncx q[11], q[2];\nrz(-0.0209) q[2];\ncx q[11], q[2];\ncx q[10], q[7];\nrz(-0.0209) q[7];\ncx q[10], q[7];\ncx q[11], q[7];\nrz(-0.0209) q[7];\ncx q[11], q[7];\ncx q[11], q[10];\nrz(-0.0209) q[10];\ncx q[11], q[10];\ncx q[10], q[2];\ncx q[2], q[7];\nrz(0.0209) q[7];\ncx q[2], q[7];\ncx q[10], q[2];\ncx q[11], q[2];\ncx q[2], q[7];\nrz(0.0209) q[7];\ncx q[2], q[7];\ncx q[11], q[2];\ncx q[11], q[10];\ncx q[10], q[2];\nrz(0.0209) q[2];\ncx q[10], q[2];\ncx q[11], q[10];\ncx q[11], q[10];\ncx q[10], q[7];\nrz(0.0209) q[7];\ncx q[10], q[7];\ncx q[11], q[10];\ncx q[11], q[10];\ncx q[10], q[2];\ncx q[2], q[7];\nrz(-0.0209) q[7];\ncx q[2], q[7];\ncx q[10], q[2];\ncx q[11], q[10];\ncx q[5], q[3];\nrz(-0.0209) q[3];\ncx q[5], q[3];\ncx q[3], q[8];\nrz(-0.0209) q[8];\ncx q[3], q[8];\ncx q[10], q[3];\nrz(-0.0209) q[3];\ncx q[10], q[3];\ncx q[5], q[8];\nrz(-0.0209) q[8];\ncx q[5], q[8];\ncx q[5], q[10];\nrz(-0.0209) q[10];\ncx q[5], q[10];\ncx q[10], q[8];\nrz(-0.0209) q[8];\ncx q[10], q[8];\ncx q[5], q[3];\ncx q[3], q[8];\nrz(0.0209) q[8];\ncx "}},{"$cut":{"chars":16795,"head":"OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[0];\nrz(x3) q[0];\ncx q[5], q[0];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x4) q[7];\ncx q[1], q[7];\ncx q[8], q[1];\nrz(x4) q[1];\ncx q[8], q[1];\ncx q[9], q[1];\nrz(x4) q[1];\ncx q[9], q[1];\ncx q[8], q[7];\nrz(x4) q[7];\ncx q[8], q[7];\ncx q[9], q[7];\nrz(x4) q[7];\ncx q[9], q[7];\ncx q[9], q[8];\nrz(x4) q[8];\ncx q[9], q[8];\ncx q[8], q[1];\ncx q[1], q[7];\nrz(x5) q[7];\ncx q[1], q[7];\ncx q[8], q[1];\ncx q[9], q[1];\ncx q[1], q[7];\nrz(x5) q[7];\ncx q[1], q[7];\ncx q[9], q[1];\ncx q[8], q[9];\ncx q[9], q[1];\nrz(x5) q[1];\ncx q[9], q[1];\ncx q[8], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\nrz(x5) q[7];\ncx q[8], q[7];\ncx q[9], q[8];\ncx q[8], q[9];\ncx q[9], q[1];\ncx q[1], q[7];\nrz(x4) q[7];\ncx q[1], q[7];\ncx q[9], q[1];\ncx q[8], q[9];\ncx q[2], q[7];\nrz(x4) q[7];\ncx q[2], q[7];\ncx q[10], q[2];\nrz(x4) q[2];\ncx q[10], q[2];\ncx q[11], q[2];\nrz(x4) q[2];\ncx q[11], q[2];\ncx q[10], q[7];\nrz(x4) q[7];\ncx q[10], q[7];\ncx q[11], q[7];\nrz(x4) q[7];\ncx q[11], q[7];\ncx q[11], q[10];\nrz(x4) q[10];\ncx q[11], q[10];\ncx q[10], q[2];\ncx q[2], q[7];\nrz(x5) q[7];\ncx q[2], q[7];\ncx q[10], q[2];\ncx q[11], q[2];\ncx q[2], q[7];\nrz(x5) q[7];\ncx q[2], q[7];\ncx q[11], q[2];\ncx q[11], q[10];\ncx q[10], q[2];\nrz(x5) q[2];\ncx q[10], q[2];\ncx q[11], q[10];\ncx q[11], q[10];\ncx q[10], q[7];\nrz(x5) q[7];\ncx q[10], q[7];\ncx q[11], q[10];\ncx q[11], q[10];\ncx q[10], q[2];\ncx q[2], q[7];\nrz(x4) q[7];\ncx q[2], q[7];\ncx q[10], q[2];\ncx q[11], q[10];\ncx q[5], q[3];\nrz(x4) q[3];\n"}},null,"{\"circuits\": [], \"gradients\": []}"]
["6ba19468e6c5e5082f99c29552d3272c","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 0, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 9}, {\"weight\": 15, \"source\": 0, \"target\": 11}, {\"weight\": 8, \"source\": 1, \"target\": 10}, {\"weight\": 11, \"source\": 1, \"target\": 12}, {\"weight\": 7, \"source\": 2, \"target\": 11}, {\"weight\": 12, \"source\": 2, \"target\": 10}, {\"weight\": 1, \"source\": 3, \"target\": 12}, {\"weight\": 10, \"source\": 4, \"target\": 13}, {\"weight\": 18, \"source\": 4, \"target\": 10}, {\"weight\": 5, \"source\": 5, \"target\": 14}, {\"weight\": 19, \"source\": 5, \"target\": 10}]}","{\"states\": [1482, 1226], \"expectation_value\": -121.6074651891478, \"params\": [[[0.5222, 0.0034000000000000002], [0.021, -0.0035], [0.7653000000000001, 0.0066], [0.7521, 0.0047], [1.5777, 0.5674], [-0.0055000000000000005, 0.6129], [0.012400000000000001, 0.2696], [0.1738, 1.4587], [0.006500000000000001, 1.5858], [1.4107, 1.5878], [1.5855000000000001, 1.5777]], [[-0.3084, 0.0019], [-0.0261, -0.0035], [0.7805000000000001, -0.0], [1.6057000000000001, 0.0006000000000000001], [1.5836000000000001, -0.045200000000000004], [0.0073, 0.0038], [-0.27890000000000004, 0.0217], [1.4409, 0.2414], [-0.7832, 1.3579], [-0.7938000000000001, -0.0068000000000000005], [1.3454000000000002, 1.5788]]], \"bitstrings\": [\"01000110101\", \"01100110101\"], \"total_optimization_steps\": 160, \"probabilities\": [0.3779358137080138, 0.3973177725505364], \"optimization_time\": 42.99990153312683}","8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(9)) + 7.5 * Z(0) + -6.5 * Z(1) + 20.0 * Z(2) + 5.5 * Z(3) + 22.0 * Z(4) + 3.5 * Z(5) + -7.5 * Z(6) + 25.0 * Z(7) + -3.0 * Z(8) + 25.5 * Z(9) + -5.5 * Z(10)",15,11,2,"{\"smallest_eigenvalues\": [-140.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -118.5, \"smallest_bitstrings\": [\"01100110101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.5222) q[0];\nry(0.021) q[1];\nry(0.7653) q[2];\nry(0.7521) q[3];\nry(1.5777) q[4];\nry(-0.0055) q[5];\nry(0.0124) q[6];\nry(0.1738) q[7];\nry(0.0065) q[8];\nry(1.4107) q[9];\nry(1.5855) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0034) q[0];\nry(-0.0035) q[1];\nry(0.0066) q[2];\nry(0.0047) q[3];\nry(0.5674) q[4];\nry(0.6129) q[5];\nry(0.2696) q[6];\nry(1.4587) q[7];\nry(1.5858) q[8];\nry(1.5878) q[9];\nry(1.5777) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(-0.3084) q[0];\nry(-0.0261) q[1];\nry(0.7805) q[2];\nry(1.6057) q[3];\nry(1.5836) q[4];\nry(0.0073) q[5];\nry(-0.2789) q[6];\nry(1.4409) q[7];\nry(-0.7832) q[8];\nry(-0.7938) q[9];\nry(1.3454) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0019) q[0];\nry(-0.0035) q[1];\nry(0) q[2];\nry(0.0006) q[3];\nry(-0.0452) q[4];\nry(0.0038) q[5];\nry(0.0217) q[6];\nry(0.2414) q[7];\nry(1.3579) q[8];\nry(-0.0068) q[9];\nry(1.5788) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x15) q[4];\nry(x16) q[5];\nry(x17) q[6];\nry(x18) q[7];\nry(x19) q[8];\nry(x20) q[9];\nry(x4) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x26) q[5];\nry(x27) q[6];\nry(x28) q[7];\nry(x29) q[8];\nry(x30) q[9];\nry(x31) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x32) q[0];\nry(x12) q[1];\nry(x33) q[2];\nry(x34) q[3];\nry(x35) q[4];\nry(x36) q[5];\nry(x37) q[6];\nry(x38) q[7];\nry(x39) q[8];\nry(x40) q[9];\nry(x41) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \\\"right_nodes\\\": [9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["6272802841015324019","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 2, 4], [2, 3, 6], [3, 4, 5], [0, 1]]}","{\"states\": [58, 45], \"expectation_value\": -0.00010996751996814047, \"params\": [[-0.003], [0.0064]], \"bitstrings\": [\"1000101\", \"1010010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.007814016205355805, 0.007814016205355807], \"optimization_time\": 1.6616637706756592}","0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.3333333333333333 * Z(2) + 0.16666666666666663 * Z(1) + 0.3333333333333333 * Z(4) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(6) + 0.16666666666666666 * Z(5) + 0.0 * Z(0)",1,7,1,"{\"smallest_eigenvalues\": [-1.5, -1.5, -1.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.4999999999999996, \"smallest_bitstrings\": [\"0101000\", \"1010010\", \"1000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[1];\nrz(-0.001) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(-0.001) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(-0.001) q[4];\ncx q[1], q[4];\ncx q[2], q[3];\nrz(-0.001) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.001) q[3];\ncx q[4], q[3];\ncx q[2], q[6];\nrz(-0.001) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.001) q[6];\ncx q[3], q[6];\ncx q[4], q[5];\nrz(-0.001) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.001) q[5];\ncx q[3], q[5];\ncx q[1], q[0];\nrz(-0.003) q[0];\ncx q[1], q[0];\nrz(-0.002) q[2];\nrz(-0.001) q[1];\nrz(-0.002) q[4];\nrz(-0.002) q[3];\nrz(-0.001) q[6];\nrz(-0.001) q[5];\nrz(0) q[0];\nh q[0];\nrz(0.0128) q[0];\nh q[0];\nh q[1];\nrz(0.0128) q[1];\nh q[1];\nh q[2];\nrz(0.0128) q[2];\nh q[2];\nh q[3];\nrz(0.0128) q[3];\nh q[3];\nh q[4];\nrz(0.0128) q[4];\nh q[4];\nh q[5];\nrz(0.0128) q[5];\nh q[5];\nh q[6];\nrz(0.0128) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\nrz(x2) q[2];\nrz(x0) q[1];\nrz(x2) q[4];\nrz(x2) q[3];\nrz(x0) q[6];\nrz(x0) q[5];\nrz(x3) q[0];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["-2070272192972975425","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 1, 2, 4, 6], [2, 3, 4, 5], [0, 1, 5, 6], [1, 3, 4, 5, 6], [0, 2, 4, 5, 6], [1, 2, 3], [0, 3, 6], [0, 1, 4, 5], [1, 2, 4, 5], [0, 3, 4]]}","{\"states\": [103, 47], \"expectation_value\": -2.350605613821749, \"params\": null, \"bitstrings\": [\"0011000\", \"1010000\"], \"total_optimization_steps\": 34, \"probabilities\": [0.043873417488404634, 0.9020331826068068], \"optimization_time\": 46.748924255371094}","0.21666666666666667 * (Z(0) @ Z(1)) + 0.3 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.35 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.35 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(3) @ Z(2)) + 0.3 * (Z(3) @ Z(4)) + 0.21666666666666667 * (Z(3) @ Z(6)) + 0.3 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.35 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(6)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.7416666666666665 * Z(1) + 0.7833333333333331 * Z(0) + 0.6166666666666667 * Z(2) + 0.8416666666666665 * Z(4) + 0.5916666666666667 * Z(6) + 0.7250000000000002 * Z(3) + 0.7 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-2.3999999999999995], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.3166666666666664, \"smallest_bitstrings\": [\"1010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.56) q[4];\nry(1.4234) q[1];\nry(1.0625) q[6];\ncry(-0.9133) q[3], q[0];\ncry(0.4517) q[4], q[6];\nry(0.5074) q[3];\ncry(-0.5498) q[1], q[0];\ncry(0.607) q[4], q[3];\ncry(-0.8612) q[5], q[2];\ncry(-0.3501) q[6], q[0];\ncry(0.3386) q[6], q[3];\ncry(-0.4177) q[3], q[2];\ncry(0.4693) q[3], q[5];\ncry(-0.3203) q[1], q[2];\nry(0.4358) q[5];\ncry(-0.1696) q[4], q[0];\ncry(-0.1938) q[6], q[2];\ncry(0.3039) q[4], q[5];\ncry(-0.1026) q[4], q[2];\ncry(0.1697) q[6], q[5];\ncry(0.0898) q[1], q[3];\ncry(0.1093) q[4], q[1];\nry(-0.0542) q[2];\ncry(0.0878) q[1], q[5];\ncry(-0.0369) q[5], q[0];\ncry(0.0449) q[1], q[6];\ncry(0.024) q[6], q[1];\ncry(0.0172) q[5], q[3];\nry(-0.0063) q[0];\ncry(-0.0171) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":23601,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nry(1.4234) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nry(1.4234) q[1];\\nry(1.0625) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nry(1.4234) q[1];\\nry(1.0625) q[6];\\ncry(-0.9133) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nry(1.4234) q[1];\\nry(1.0625) q[6];\\ncry(-0.9133) q[3], q[0];\\ncry(0.4517) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nry(1.4234) q[1];\\nry(1.0625) q[6];\\ncry(-0.9133) q[3], q[0];\\ncry(0.4517) q[4], q[6];\\nry(0.5074) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nry(1.4234) q[1];\\nry(1.0625) q[6];\\ncry(-0.9133) q[3], q[0];\\ncry(0.4517) q[4], q[6];\\nry(0.5074) q[3];\\ncry(-0.5498) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nry(1.4234) q[1];\\nry(1.0625) q[6];\\ncry(-0.9133) q[3], q[0];\\ncry(0.4517) q[4], q[6];\\nry(0.5074) q[3];\\ncry(-0.5498) q[1], q[0];\\ncry(0.607) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nry(1.4234) q[1];\\nry(1.0625) q[6];\\ncry(-0.9133) q[3], q[0];\\ncry(0.4517) q[4], q[6];\\nry(0.5074) q[3];\\ncry(-0.5498) q[1], q[0];\\ncry(0.607) q[4], q[3];\\ncry(-0.8612) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.56) q[4];\\nry(1.4234) q[1];\\nry(1.0625) q[6];\\ncry(-0.9133) q[3], q[0];\\ncry(0.4517) q[4], q[6];\\nry(0.5074) q[3];\\ncry(-0.5498) q[1], q[0];\\ncry(0.607) q[4], q[3];\\ncry(-0.8612) q[5], q[2];\\ncry(-0.3501) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q"}}]
["ac36c5a153720f2afd43ce774542e80a","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 6, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 6, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 6, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 7, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 4, \"source\": 4, \"target\": 5}]}","{\"states\": [32, 31], \"expectation_value\": -0.08670274291519937, \"params\": [[0.0159], [-0.0257]], \"bitstrings\": [\"011111\", \"100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0161088752912674, 0.016133549603724626], \"optimization_time\": 1.730738878250122}","-0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2)",1,6,1,"{\"smallest_eigenvalues\": [-10.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.25, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.008) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(-0.0716) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0477) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0795) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.0239) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0477) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0636) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0318) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(-0.0239) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0239) q[2];\ncx q[4], q[2];\nrz(-0.0159) q[1];\nrz(-0.008) q[0];\nrz(-0.0398) q[3];\nrz(0.0795) q[4];\nrz(-0.0159) q[5];\nrz(0) q[2];\nh q[0];\nrz(-0.0514) q[0];\nh q[0];\nh q[1];\nrz(-0.0514) q[1];\nh q[1];\nh q[2];\nrz(-0.0514) q[2];\nh q[2];\nh q[3];\nrz(-0.0514) q[3];\nh q[3];\nh q[4];\nrz(-0.0514) q[4];\nh q[4];\nh q[5];\nrz(-0.0514) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x3) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x4) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x5) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x6) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(x4) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x4) q[2];\ncx q[4], q[2];\nrz(x7) q[1];\nrz(x0) q[0];\nrz(x8) q[3];\nrz(x9) q[4];\nrz(x7) q[5];\nrz(x10) q[2];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["7612844348063935763","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 5, 6], [0, 2, 4], [3, 5, 7], [0, 1], [5, 6, 7], [1, 6]]}","{\"states\": [147, 155], \"expectation_value\": -1.1947223261077125, \"params\": [1.0018, 0.0016, 0.9873000000000001, 0.0032, 0.9843000000000001, 0.0045000000000000005, 0.3803, 0.007, 0.9999, -0.0011, 0.9982000000000001, 0.0071, 1.0031, 0.0041, 0.9984000000000001, 0.0041, 1.0077, 0.0018000000000000002, 0.9949, 0.0033, 1.0017, 0.00030000000000000003, 0.9961000000000001, 0.0028, 1.0014, 0.0007, 0.9972000000000001, 0.0082, 1.0077, 0.0024000000000000002, 1.0005, 0.008, 0.33430000000000004, -0.3383, 0.9636, 0.2174, -0.0746, 0.9815, 0.21450000000000002, 0.0611], \"bitstrings\": [\"01101100\", \"01100100\"], \"total_optimization_steps\": 100, \"probabilities\": [0.11198045454392867, 0.2202026333600212], \"optimization_time\": 12.894686698913574}","0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * Z(5) + 0.33333333333333326 * Z(0) + 0.33333333333333326 * Z(6) + 0.16666666666666666 * Z(2) + 0.16666666666666666 * Z(4) + 0.16666666666666666 * Z(3) + 0.3333333333333333 * Z(7) + 0.0 * Z(1)",6,8,1,"{\"smallest_eigenvalues\": [-2.3333333333333335, -2.3333333333333335], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"01001100\", \"01100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(1.0018) q[0];\nrz(0.0016) q[0];\nrx(0.9843) q[1];\nrz(0.0045) q[1];\nrx(0.9999) q[2];\nrz(-0.0011) q[2];\nrx(1.0031) q[3];\nrz(0.0041) q[3];\nrx(1.0077) q[4];\nrz(0.0018) q[4];\nrx(1.0017) q[5];\nrz(0.0003) q[5];\nrx(1.0014) q[6];\nrz(0.0007) q[6];\nrx(1.0077) q[7];\nrz(0.0024) q[7];\ncrx(0.2145) q[7], q[6];\ncrx(0.9815) q[7], q[5];\ncrx(-0.0746) q[7], q[4];\ncrx(0.2174) q[7], q[3];\ncrx(0.9636) q[7], q[2];\ncrx(-0.3383) q[7], q[1];\ncrx(0.3343) q[7], q[0];\ncrx(0.0611) q[6], q[7];\ncrx(0.9815) q[6], q[5];\ncrx(-0.0746) q[6], q[4];\ncrx(0.2174) q[6], q[3];\ncrx(0.9636) q[6], q[2];\ncrx(-0.3383) q[6], q[1];\ncrx(0.3343) q[6], q[0];\ncrx(0.0611) q[5], q[7];\ncrx(0.2145) q[5], q[6];\ncrx(-0.0746) q[5], q[4];\ncrx(0.2174) q[5], q[3];\ncrx(0.9636) q[5], q[2];\ncrx(-0.3383) q[5], q[1];\ncrx(0.3343) q[5], q[0];\ncrx(0.0611) q[4], q[7];\ncrx(0.2145) q[4], q[6];\ncrx(0.9815) q[4], q[5];\ncrx(0.2174) q[4], q[3];\ncrx(0.9636) q[4], q[2];\ncrx(-0.3383) q[4], q[1];\ncrx(0.3343) q[4], q[0];\ncrx(0.0611) q[3], q[7];\ncrx(0.2145) q[3], q[6];\ncrx(0.9815) q[3], q[5];\ncrx(-0.0746) q[3], q[4];\ncrx(0.9636) q[3], q[2];\ncrx(-0.3383) q[3], q[1];\ncrx(0.3343) q[3], q[0];\ncrx(0.0611) q[2], q[7];\ncrx(0.2145) q[2], q[6];\ncrx(0.9815) q[2], q[5];\ncrx(-0.0746) q[2], q[4];\ncrx(0.2174) q[2], q[3];\ncrx(-0.3383) q[2], q[1];\ncrx(0.3343) q[2], q[0];\ncrx(0.0611) q[1], q[7];\ncrx(0.2145) q[1], q[6];\ncrx(0.9815) q[1], q[5];\ncrx(-0.0746) q[1], q[4];\ncrx(0.2174) q[1], q[3];\ncrx(0.9636) q[1], q[2];\ncrx(0.3343) q[1], q[0];\ncrx(0.0611) q[0], q[7];\ncrx(0.2145) q[0], q[6];\ncrx(0.9815) q[0], q[5];\ncrx(-0.0746) q[0], q[4];\ncrx(0.2174) q[0], q[3];\ncrx(0.9636) q[0], q[2];\ncrx(-0.3383) q[0], q[1];\nrx(0.9873) q[0];\nrz(0.0032) q[0];\nrx(0.3803) q[1];\nrz(0.007) q[1];\nrx(0.9982) q[2];\nrz(0.0071) q[2];\nrx(0.9984) q[3];\nrz(0.0041) q[3];\nrx(0.9949) q[4];\nrz(0.0033) q[4];\nrx(0.9961) q[5];\nrz(0.0028) q[5];\nrx(0.9972) q[6];\nrz(0.0082) q[6];\nrx(1.0005) q[7];\nrz(0.008) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x8) q[7];\nrz(x14) q[7];\ncrx(x15) q[7], q[6];\ncrx(x16) q[7], q[5];\ncrx(x17) q[7], q[4];\ncrx(x18) q[7], q[3];\ncrx(x19) q[7], q[2];\ncrx(x20) q[7], q[1];\ncrx(x21) q[7], q[0];\ncrx(x22) q[6], q[7];\ncrx(x16) q[6], q[5];\ncrx(x17) q[6], q[4];\ncrx(x18) q[6], q[3];\ncrx(x19) q[6], q[2];\ncrx(x20) q[6], q[1];\ncrx(x21) q[6], q[0];\ncrx(x22) q[5], q[7];\ncrx(x15) q[5], q[6];\ncrx(x17) q[5], q[4];\ncrx(x18) q[5], q[3];\ncrx(x19) q[5], q[2];\ncrx(x20) q[5], q[1];\ncrx(x21) q[5], q[0];\ncrx(x22) q[4], q[7];\ncrx(x15) q[4], q[6];\ncrx(x16) q[4], q[5];\ncrx(x18) q[4], q[3];\ncrx(x19) q[4], q[2];\ncrx(x20) q[4], q[1];\ncrx(x21) q[4], q[0];\ncrx(x22) q[3], q[7];\ncrx(x15) q[3], q[6];\ncrx(x16) q[3], q[5];\ncrx(x17) q[3], q[4];\ncrx(x19) q[3], q[2];\ncrx(x20) q[3], q[1];\ncrx(x21) q[3], q[0];\ncrx(x22) q[2], q[7];\ncrx(x15) q[2], q[6];\ncrx(x16) q[2], q[5];\ncrx(x17) q[2], q[4];\ncrx(x18) q[2], q[3];\ncrx(x20) q[2], q[1];\ncrx(x21) q[2], q[0];\ncrx(x22) q[1], q[7];\ncrx(x15) q[1], q[6];\ncrx(x16) q[1], q[5];\ncrx(x17) q[1], q[4];\ncrx(x18) q[1], q[3];\ncrx(x19) q[1], q[2];\ncrx(x21) q[1], q[0];\ncrx(x22) q[0], q[7];\ncrx(x15) q[0], q[6];\ncrx(x16) q[0], q[5];\ncrx(x17) q[0], q[4];\ncrx(x18) q[0], q[3];\ncrx(x19) q[0], q[2];\ncrx(x20) q[0], q[1];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x7) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nrx(x36) q[7];\nrz(x37) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["43307769d8a05a2ca68cecbc0fed0778","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 3}]}","{\"states\": [25, 31], \"expectation_value\": -0.2752042334109547, \"params\": [[0.060000000000000005, 0.0752], [-0.0398, -0.0682]], \"bitstrings\": [\"100110\", \"100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.019414950188358107, 0.020064667507628517], \"optimization_time\": 2.7074880599975586}","-0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3)",1,6,2,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"100000\", \"100110\", \"100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.03) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.03) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.06) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.09) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(-0.03) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(-0.06) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.03) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(-0.09) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.03) q[3];\ncx q[5], q[3];\nrz(0) q[1];\nrz(-0.03) q[0];\nrz(-0.12) q[4];\nrz(-0.03) q[5];\nrz(0.12) q[2];\nrz(0.06) q[3];\nh q[0];\nrz(-0.0796) q[0];\nh q[0];\nh q[1];\nrz(-0.0796) q[1];\nh q[1];\nh q[2];\nrz(-0.0796) q[2];\nh q[2];\nh q[3];\nrz(-0.0796) q[3];\nh q[3];\nh q[4];\nrz(-0.0796) q[4];\nh q[4];\nh q[5];\nrz(-0.0796) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0376) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0376) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0752) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.1128) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(-0.0376) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(-0.0752) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0376) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(-0.1128) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0376) q[3];\ncx q[5], q[3];\nrz(0) q[1];\nrz(-0.0376) q[0];\nrz(-0.1504) q[4];\nrz(-0.0376) q[5];\nrz(0.1504) q[2];\nrz(0.0752) q[3];\nh q[0];\nrz(-0.1364) q[0];\nh q[0];\nh q[1];\nrz(-0.1364) q[1];\nh q[1];\nh q[2];\nrz(-0.1364) q[2];\nh q[2];\nh q[3];\nrz(-0.1364) q[3];\nh q[3];\nh q[4];\nrz(-0.1364) q[4];\nh q[4];\nh q[5];\nrz(-0.1364) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(x3) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\nrz(x4) q[1];\nrz(x0) q[0];\nrz(x5) q[4];\nrz(x0) q[5];\nrz(x6) q[2];\nrz(x7) q[3];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x11) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x10) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x9) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(x12) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x9) q[3];\ncx q[5], q[3];\nrz(x4) q[1];\nrz(x9) q[0];\nrz(x13) q[4];\nrz(x9) q[5];\nrz(x14) q[2];\nrz(x15) q[3];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["48b5e88333d563de0343d06f94299301","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [338, 342], \"expectation_value\": -6.252198263872636, \"params\": [0.39080000000000004, 0.3977, -0.016900000000000002, -0.017400000000000002, 0.3894, 0.39440000000000003, 0.0011, -0.0002, 0.39680000000000004, 0.3911, 0.0022, 0.0026000000000000003, 0.26630000000000004, 0.269, 0.3784, 0.3778, 0.007200000000000001, 0.0026000000000000003, 0.398, 0.39390000000000003, -0.020800000000000003, -0.0222, 0.3896, 0.3919, 0.0046, 0.006, 0.39440000000000003, 0.3966, -0.0009000000000000001, 0.0035, 0.2728, 0.2661, 0.3801, 0.38530000000000003, 0.0066, 0.001, 0.3922, 0.3952, -0.0211, -0.0188, 0.39380000000000004, 0.3965, 0.0068000000000000005, 0.0071, 0.3951, 0.3951, 0.0022, -0.002, 0.2669, 0.26480000000000004, 0.38220000000000004, 0.38630000000000003, 0.0045000000000000005, 0.0053, 0.39080000000000004, 0.3915, -0.0234, -0.0165, 0.3916, 0.39440000000000003, 0.0, 0.0, 0.3925, 0.3924, 0.0009000000000000001, 0.0035, 0.26780000000000004, 0.273, 0.37870000000000004, 0.3811, 0.005200000000000001, 0.0044, -0.2142, 0.24300000000000002, 0.00030000000000000003, -0.0201, -0.1608, 0.012, 0.0038, -0.169, -0.1749, 0.0025, 0.0079, -0.2038, 0.1758, 0.0064, -0.0077, 0.2262, -0.0056, -0.0049, -0.2228, 0.2417, 0.009000000000000001, -0.0465, -0.1489, 0.02, 0.0017000000000000001, -0.1437, -0.2169, 0.0012000000000000001, 0.0049, -0.22310000000000002, 0.2524, 0.0034000000000000002, -0.0017000000000000001, 0.2534, -0.0, -0.00030000000000000003, -0.24780000000000002, 0.249, 0.0173, -0.06470000000000001, -0.1134, 0.046700000000000005, 0.0018000000000000002, 0.08710000000000001, -0.233, 0.003, 0.002, -0.234, 0.25680000000000003, -0.0004, 0.0019, 0.2564, 0.0005, 0.004, -0.2529, 0.0004, 0.013300000000000001, 0.0027, 0.0902, 0.005, 0.0018000000000000002, 0.0009000000000000001, -0.23390000000000002, 0.0073, -0.0025, 0.0012000000000000001, 0.2579, 0.0043, 0.0046, 0.0056, 0.0081, 0.0004], \"bitstrings\": [\"010101101\", \"010101001\"], \"total_optimization_steps\": 40, \"probabilities\": [0.22567425141028025, 0.7655654426751947], \"optimization_time\": 17.405632257461548}","0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(3) + -1.0 * Z(7)",13,9,4,"{\"smallest_eigenvalues\": [-6.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"010101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.3908) q[0];\nry(-0.0169) q[1];\nry(0.3894) q[2];\nry(0.0011) q[3];\nry(0.3968) q[4];\nry(0.0022) q[5];\nry(0.2663) q[6];\nry(0.3784) q[7];\nry(0.0072) q[8];\ncrz(-0.2142) q[8], q[0];\ncrz(-0.0056) q[7], q[8];\ncrz(-0.0077) q[6], q[7];\ncrz(0.1758) q[5], q[6];\ncrz(0.0079) q[4], q[5];\ncrz(-0.1749) q[3], q[4];\ncrz(0.0038) q[2], q[3];\ncrz(-0.1608) q[1], q[2];\ncrz(0.0003) q[0], q[1];\nry(0.3977) q[0];\nry(-0.0174) q[1];\nry(0.3944) q[2];\nry(-0.0002) q[3];\nry(0.3911) q[4];\nry(0.0026) q[5];\nry(0.269) q[6];\nry(0.3778) q[7];\nry(0.0026) q[8];\ncrz(0.243) q[8], q[7];\ncrz(-0.0201) q[0], q[8];\ncrz(0.012) q[0], q[1];\ncrz(-0.169) q[1], q[2];\ncrz(0.0025) q[2], q[3];\ncrz(-0.2038) q[3], q[4];\ncrz(0.0064) q[4], q[5];\ncrz(0.2262) q[5], q[6];\ncrz(-0.0049) q[6], q[7];\nry(0.398) q[0];\nry(-0.0208) q[1];\nry(0.3896) q[2];\nry(0.0046) q[3];\nry(0.3944) q[4];\nry(-0.0009) q[5];\nry(0.2728) q[6];\nry(0.3801) q[7];\nry(0.0066) q[8];\ncrz(-0.2228) q[8], q[0];\ncrz(0) q[7], q[8];\ncrz(-0.0017) q[6], q[7];\ncrz(0.2524) q[5], q[6];\ncrz(0.0049) q[4], q[5];\ncrz(-0.2169) q[3], q[4];\ncrz(0.0017) q[2], q[3];\ncrz(-0.1489) q[1], q[2];\ncrz(0.009) q[0], q[1];\nry(0.3939) q[0];\nry(-0.0222) q[1];\nry(0.3919) q[2];\nry(0.006) q[3];\nry(0.3966) q[4];\nry(0.0035) q[5];\nry(0.2661) q[6];\nry(0.3853) q[7];\nry(0.001) q[8];\ncrz(0.2417) q[8], q[7];\ncrz(-0.0465) q[0], q[8];\ncrz(0.02) q[0], q[1];\ncrz(-0.1437) q[1], q[2];\ncrz(0.0012) q[2], q[3];\ncrz(-0.2231) q[3], q[4];\ncrz(0.0034) q[4], q[5];\ncrz(0.2534) q[5], q[6];\ncrz(-0.0003) q[6], q[7];\nry(0.3922) q[0];\nry(-0.0211) q[1];\nry(0.3938) q[2];\nry(0.0068) q[3];\nry(0.3951) q[4];\nry(0.0022) q[5];\nry(0.2669) q[6];\nry(0.3822) q[7];\nry(0.0045) q[8];\ncrz(-0.2478) q[8], q[0];\ncrz(0.0005) q[7], q[8];\ncrz(0.0019) q[6], q[7];\ncrz(0.2568) q[5], q[6];\ncrz(0.002) q[4], q[5];\ncrz(-0.233) q[3], q[4];\ncrz(0.0018) q[2], q[3];\ncrz(-0.1134) q[1], q[2];\ncrz(0.0173) q[0], q[1];\nry(0.3952) q[0];\nry(-0.0188) q[1];\nry(0.3965) q[2];\nry(0.0071) q[3];\nry(0.3951) q[4];\nry(-0.002) q[5];\nry(0.2648) q[6];\nry(0.3863) q[7];\nry(0.0053) q[8];\ncrz(0.249) q[8], q[7];\ncrz(-0.0647) q[0], q[8];\ncrz(0.0467) q[0], q[1];\ncrz(0.0871) q[1], q[2];\ncrz(0.003) q[2], q[3];\ncrz(-0.234) q[3], q[4];\ncrz(-0.0004) q[4], q[5];\ncrz(0.2564) q[5], q[6];\ncrz(0.004) q[6], q[7];\nry(0.3908) q[0];\nry(-0.0234) q[1];\nry(0.3916) q[2];\nry(0) q[3];\nry(0.3925) q[4];\nry(0.0009) q[5];\nry(0.2678) q[6];\nry(0.3787) q[7];\nry(0.0052) q[8];\ncrz(-0.2529) q[8], q[0];\ncrz(0.0081) q[7], q[8];\ncrz(0.0046) q[6], q[7];\ncrz(0.2579) q[5], q[6];\ncrz(-0.0025) q[4], q[5];\ncrz(-0.2339) q[3], q[4];\ncrz(0.0018) q[2], q[3];\ncrz(0.0902) q[1], q[2];\ncrz(0.0133) q[0], q[1];\nry(0.3915) q[0];\nry(-0.0165) q[1];\nry(0.3944) q[2];\nry(0) q[3];\nry(0.3924) q[4];\nry(0.0035) q[5];\nry(0.273) q[6];\nry(0.3811) q[7];\nry(0.0044) q[8];\ncrz(0.0004) q[8], q[7];\ncrz(0.0027) q[0], q[8];\ncrz(0.005) q[0], q[1];\ncrz(0.0009) q[1], q[2];\ncrz(0.0073) q[2], q[3];\ncrz(0.0012) q[3], q[4];\ncrz(0.0043) q[4], q[5];\ncrz(0.0056) q[5], q[6];\ncrz(0.0004) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrz(x9) q[8], q[0];\ncrz(x10) q[7], q[8];\ncrz(x11) q[6], q[7];\ncrz(x12) q[5], q[6];\ncrz(x13) q[4], q[5];\ncrz(x14) q[3], q[4];\ncrz(x15) q[2], q[3];\ncrz(x16) q[1], q[2];\ncrz(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x23) q[8];\ncrz(x26) q[8], q[7];\ncrz(x27) q[0], q[8];\ncrz(x28) q[0], q[1];\ncrz(x29) q[1], q[2];\ncrz(x30) q[2], q[3];\ncrz(x31) q[3], q[4];\ncrz(x32) q[4], q[5];\ncrz(x33) q[5], q[6];\ncrz(x34) q[6], q[7];\nry(x35) q[0];\nry(x36) q[1];\nry(x37) q[2];\nry(x38) q[3];\nry(x20) q[4];\nry(x39) q[5];\nry(x40) q[6];\nry(x41) q[7];\nry(x42) q[8];\ncrz(x43) q[8], q[0];\ncrz(x44) q[7], q[8];\ncrz(x45) q[6], q[7];\ncrz(x46) q[5], q[6];\ncrz(x47) q[4], q[5];\ncrz(x48) q[3], q[4];\ncrz(x49) q[2], q[3];\ncrz(x50) q[1], q[2];\ncrz(x51) q[0], q[1];\nry(x52) q[0];\nry(x53) q[1];\nry(x54) q[2];\nry(x55) q[3];\nry(x56) q[4];\nry(x57) q[5];\nry(x58) q[6];\nry(x59) q[7];\nry(x60) q[8];\ncrz(x61) q[8], q[7];\ncrz(x62) q[0], q[8];\ncrz(x63) q[0], q[1];\ncrz(x64) q[1], q[2];\ncrz(x65) q[2], q[3];\ncrz(x66) q[3], q[4];\ncrz(x67) q[4], q[5];\ncrz(x68) q[5], q[6];\ncrz(x69) q[6], q[7];\nry(x70) q[0];\nry(x71) q[1];\nry(x72) q[2];\nry(x73) q[3];\nry(x74) q[4];\nry(x5) q[5];\nry(x75) q[6];\nry(x76) q[7];\nry(x77) q[8];\ncrz(x78) q[8], q[0];\ncrz(x79) q[7], q[8];\ncrz(x80) q[6], q[7];\ncrz(x81) q[5], q[6];\ncrz(x82) q[4], q[5];\ncrz(x83) q[3], q[4];\ncrz(x84) q[2], q[3];\ncrz(x85) q[1], q[2];\ncrz(x86) q[0], q[1];\nry(x87) q[0];\nry(x88) q[1];\nry(x89) q[2];\nry(x90) q[3];\nry(x74) q[4];\nry(x91) q[5];\nry(x92) q[6];\nry(x93) q[7];\nry(x94) q[8];\ncrz(x95) q[8], q[7];\ncrz(x96) q[0], q[8];\ncrz(x97) q[0], q[1];\ncrz(x98) q[1], q[2];\ncrz(x99) q[2], q[3];\ncrz(x100) q[3], q[4];\ncrz(x101) q[4], q[5];\ncrz(x102) q[5], q[6];\ncrz(x103) q[6], q[7];\nry(x0) q[0];\nry(x104) q[1];\nry(x105) q[2];\nry(x44) q[3];\nry(x106) q[4];\nry(x107) q[5];\nry(x108) q[6];\nry(x109) q[7];\nry(x110) q[8];\ncrz(x111) q[8], q[0];\ncrz(x112) q[7], q[8];\ncrz(x38) q[6], q[7];\ncrz(x113) q[5], q[6];\ncrz(x114) q[4], q[5];\ncrz(x115) q[3], q[4];\ncrz(x84) q[2], q[3];\ncrz(x116) q[1], q[2];\ncrz(x117) q[0], q[1];\nry(x118) q[0];\nry(x119) q[1];\nry(x20) q[2];\nry(x44) q[3];\nry(x120) q[4];\nry(x57) q[5];\nry(x121) q[6];\nry(x122) q[7];\nry(x123) q[8];\ncrz(x124) q[8], q[7];\ncrz(x125) q[0], q[8];\ncrz(x126) q[0], q[1];\ncrz(x107) q[1], q[2];\ncrz(x127) q[2], q[3];\ncrz(x65) q[3], q[4];\ncrz(x128) q[4], q[5];\ncrz(x129) q[5], q[6];\ncrz(x124) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["aaa0b19e64bf3c35281517d1fd2e9593","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 4}]}","{\"states\": [39, 23], \"expectation_value\": -0.5658034982932227, \"params\": [[-0.0492, -0.0534, -0.0589, -0.064], [0.0656, 0.061900000000000004, 0.0587, 0.0635]], \"bitstrings\": [\"011000\", \"101000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.026232196346374297, 0.026719766160093736], \"optimization_time\": 3.82806396484375}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4)",1,6,4,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"011000\", \"101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0492) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0492) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(-0.0492) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0492) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.0492) q[4];\ncx q[2], q[4];\nrz(0.0492) q[1];\nrz(0) q[0];\nrz(0.1476) q[2];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1312) q[0];\nh q[0];\nh q[1];\nrz(0.1312) q[1];\nh q[1];\nh q[2];\nrz(0.1312) q[2];\nh q[2];\nh q[3];\nrz(0.1312) q[3];\nh q[3];\nh q[4];\nrz(0.1312) q[4];\nh q[4];\nh q[5];\nrz(0.1312) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0534) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0534) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(-0.0534) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0534) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.0534) q[4];\ncx q[2], q[4];\nrz(0.0534) q[1];\nrz(0) q[0];\nrz(0.1602) q[2];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1238) q[0];\nh q[0];\nh q[1];\nrz(0.1238) q[1];\nh q[1];\nh q[2];\nrz(0.1238) q[2];\nh q[2];\nh q[3];\nrz(0.1238) q[3];\nh q[3];\nh q[4];\nrz(0.1238) q[4];\nh q[4];\nh q[5];\nrz(0.1238) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0589) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0589) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(-0.0589) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0589) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.0589) q[4];\ncx q[2], q[4];\nrz(0.0589) q[1];\nrz(0) q[0];\nrz(0.1767) q[2];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1174) q[0];\nh q[0];\nh q[1];\nrz(0.1174) q[1];\nh q[1];\nh q[2];\nrz(0.1174) q[2];\nh q[2];\nh q[3];\nrz(0.1174) q[3];\nh q[3];\nh q[4];\nrz(0.1174) q[4];\nh q[4];\nh q[5];\nrz(0.1174) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.064) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.064) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(-0.064) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.064) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.064) q[4];\ncx q[2], q[4];\nrz(0.064) q[1];\nrz(0) q[0];\nrz(0.192) q[2];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.127) q[0];\nh q[0];\nh q[1];\nrz(0.127) q[1];\nh q[1];\nh q[2];\nrz(0.127) q[2];\nh q[2];\nh q[3];\nrz(0.127) q[3];\nh q[3];\nh q[4];\nrz(0.127) q[4];\nh q[4];\nh q[5];\nrz(0.127) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[4];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x5) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x5) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\nrz(x6) q[1];\nrz(x2) q[0];\nrz(x7) q[2];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[4];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\nrz(x10) q[1];\nrz(x2) q[0];\nrz(x11) q[2];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x13) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x13) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(x13) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x13) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x13) q[4];\ncx q[2], q[4];\nrz(x14) q[1];\nrz(x2) q[0];\nrz(x15) q[2];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[4];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["01c79553cd838cd252f6e60dedff49e5","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 4, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 4, \"source\": 6, \"target\": 3}]}","{\"states\": [101, 127], \"expectation_value\": -8.40099804545785, \"params\": null, \"bitstrings\": [\"10011010\", \"10000000\"], \"total_optimization_steps\": 81, \"probabilities\": [0.13187941624328978, 0.7638268127257326], \"optimization_time\": 129.77478170394897}","-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(7) + -1.25 * Z(6) + 0.5 * Z(3) + -0.75 * Z(4) + 2.25 * Z(5)",1,8,2,"{\"smallest_eigenvalues\": [-9.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.25, \"smallest_bitstrings\": [\"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\ncry(1.5706) q[6], q[3];\nry(0.7237) q[6];\nry(1.5698) q[2];\nry(1.5677) q[1];\ncry(1.5695) q[3], q[4];\ncry(0.5072) q[3], q[6];\ncry(0.2743) q[4], q[3];\ncry(1.4449) q[2], q[7];\ncry(-1.4433) q[7], q[0];\ncry(0.0971) q[4], q[6];\ncry(-0.0637) q[5], q[6];\ncry(-0.0929) q[5], q[4];\ncry(0.0952) q[6], q[4];\ncry(-0.0937) q[2], q[4];\nry(0.0892) q[7];\ncry(-0.1236) q[5], q[0];\nry(0.0104) q[3];\ncry(0.0007) q[7], q[2];\ncry(-0.007) q[2], q[0];\ncry(0.0031) q[7], q[1];\ncry(0.0003) q[7], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 7}",{"$cut":{"chars":58625,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\ncry(1.5706) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\ncry(1.5706) q[6], q[3];\\nry(0.7237) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\ncry(1.5706) q[6], q[3];\\nry(0.7237) q[6];\\nry(1.5698) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\ncry(1.5706) q[6], q[3];\\nry(0.7237) q[6];\\nry(1.5698) q[2];\\nry(1.5677) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\ncry(1.5706) q[6], q[3];\\nry(0.7237) q[6];\\nry(1.5698) q[2];\\nry(1.5677) q[1];\\ncry(1.5695) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\ncry(1.5706) q[6], q[3];\\nry(0.7237) q[6];\\nry(1.5698) q[2];\\nry(1.5677) q[1];\\ncry(1.5695) q[3], q[4];\\ncry(0.5072) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\ncry(1.5706) q[6], q[3];\\nry(0.7237) q[6];\\nry(1.5698) q[2];\\nry(1.5677) q[1];\\ncry(1.5695) q[3], q[4];\\ncry(0.5072) q[3], q[6];\\ncry(0.2743) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\ncry(1.5706) q[6], q[3];\\nry(0.7237) q[6];\\nry(1.5698) q[2];\\nry(1.5677) q[1];\\ncry(1.5695) q[3], q[4];\\ncry(0.5072) q[3], q[6];\\ncry(0.2743) q[4], q[3];\\ncry(1.4449) q[2], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[5];\\ncry(1.5706) q[6], q[3];\\nry(0.7237) q[6];\\nry(1.5698) q[2];\\nry(1.5677) q[1];\\ncry(1.5695) q[3], q[4];\\ncry(0.5072) q[3], q[6];"}}]
["8bfdc67b849fbd87b046066dfe87fda5","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 8}]}","{\"states\": [202, 458], \"expectation_value\": -2.071661124471208, \"params\": [0.3924, 0.3985, 0.399, 0.3987, 0.4033, 0.4058, 0.058800000000000005, 0.056100000000000004, 0.0529, 0.046400000000000004, 0.40790000000000004, 0.40700000000000003, 0.0679, 0.0695, 0.40900000000000003, 0.4078, 0.3904, 0.3866, 0.3902, 0.3896, 0.4001, 0.402, 0.4051, 0.4076, 0.061700000000000005, 0.053200000000000004, 0.0439, 0.0488, 0.4081, 0.4091, 0.06910000000000001, 0.06960000000000001, 0.4041, 0.40390000000000004, 0.38420000000000004, 0.3899, 0.12840000000000001, -0.1597, -0.12140000000000001, 0.1492, -0.0219, -0.12840000000000001, -0.0063, -0.012700000000000001, -0.1927, -0.0082, 0.18150000000000002, 0.1756, 0.0023, -0.186, 0.1812, 0.0039000000000000003, -0.023100000000000002, 0.1517, 0.1637, 0.0067, 0.0005, 0.0071, 0.0077, 0.004, 0.00030000000000000003, 0.0061, 0.19340000000000002, 0.0082, -0.1958, 0.0073, -0.0055000000000000005, 0.0011, 0.1258, 0.0041, 0.1345, 0.00030000000000000003], \"bitstrings\": [\"100110101\", \"000110101\"], \"total_optimization_steps\": 40, \"probabilities\": [0.018559127180994794, 0.018586409811845298], \"optimization_time\": 25.507771253585815}","0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(5)",13,9,2,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"100010110\", \"010110001\", \"100110100\", \"000110101\", \"000010111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.3924) q[0];\nry(0.399) q[1];\nry(0.4033) q[2];\nry(0.0588) q[3];\nry(0.0529) q[4];\nry(0.4079) q[5];\nry(0.0679) q[6];\nry(0.409) q[7];\nry(0.3904) q[8];\ncrz(0.1284) q[8], q[0];\ncrz(-0.0231) q[7], q[8];\ncrz(0.1812) q[6], q[7];\ncrz(0.0023) q[5], q[6];\ncrz(0.1815) q[4], q[5];\ncrz(-0.1927) q[3], q[4];\ncrz(-0.0063) q[2], q[3];\ncrz(-0.0219) q[1], q[2];\ncrz(-0.1214) q[0], q[1];\nry(0.3985) q[0];\nry(0.3987) q[1];\nry(0.4058) q[2];\nry(0.0561) q[3];\nry(0.0464) q[4];\nry(0.407) q[5];\nry(0.0695) q[6];\nry(0.4078) q[7];\nry(0.3866) q[8];\ncrz(-0.1597) q[8], q[7];\ncrz(0.1492) q[0], q[8];\ncrz(-0.1284) q[0], q[1];\ncrz(-0.0127) q[1], q[2];\ncrz(-0.0082) q[2], q[3];\ncrz(0.1756) q[3], q[4];\ncrz(-0.186) q[4], q[5];\ncrz(0.0039) q[5], q[6];\ncrz(0.1517) q[6], q[7];\nry(0.3902) q[0];\nry(0.4001) q[1];\nry(0.4051) q[2];\nry(0.0617) q[3];\nry(0.0439) q[4];\nry(0.4081) q[5];\nry(0.0691) q[6];\nry(0.4041) q[7];\nry(0.3842) q[8];\ncrz(0.1637) q[8], q[0];\ncrz(0.1345) q[7], q[8];\ncrz(0.1258) q[6], q[7];\ncrz(-0.0055) q[5], q[6];\ncrz(-0.1958) q[4], q[5];\ncrz(0.1934) q[3], q[4];\ncrz(0.0003) q[2], q[3];\ncrz(0.0077) q[1], q[2];\ncrz(0.0005) q[0], q[1];\nry(0.3896) q[0];\nry(0.402) q[1];\nry(0.4076) q[2];\nry(0.0532) q[3];\nry(0.0488) q[4];\nry(0.4091) q[5];\nry(0.0696) q[6];\nry(0.4039) q[7];\nry(0.3899) q[8];\ncrz(0.0067) q[8], q[7];\ncrz(0.0071) q[0], q[8];\ncrz(0.004) q[0], q[1];\ncrz(0.0061) q[1], q[2];\ncrz(0.0082) q[2], q[3];\ncrz(0.0073) q[3], q[4];\ncrz(0.0011) q[4], q[5];\ncrz(0.0041) q[5], q[6];\ncrz(0.0003) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrz(x9) q[8], q[0];\ncrz(x10) q[7], q[8];\ncrz(x11) q[6], q[7];\ncrz(x12) q[5], q[6];\ncrz(x13) q[4], q[5];\ncrz(x14) q[3], q[4];\ncrz(x15) q[2], q[3];\ncrz(x16) q[1], q[2];\ncrz(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrz(x27) q[8], q[7];\ncrz(x28) q[0], q[8];\ncrz(x29) q[0], q[1];\ncrz(x30) q[1], q[2];\ncrz(x31) q[2], q[3];\ncrz(x32) q[3], q[4];\ncrz(x33) q[4], q[5];\ncrz(x34) q[5], q[6];\ncrz(x35) q[6], q[7];\nry(x36) q[0];\nry(x37) q[1];\nry(x38) q[2];\nry(x39) q[3];\nry(x40) q[4];\nry(x41) q[5];\nry(x42) q[6];\nry(x43) q[7];\nry(x44) q[8];\ncrz(x45) q[8], q[0];\ncrz(x46) q[7], q[8];\ncrz(x47) q[6], q[7];\ncrz(x48) q[5], q[6];\ncrz(x49) q[4], q[5];\ncrz(x50) q[3], q[4];\ncrz(x51) q[2], q[3];\ncrz(x52) q[1], q[2];\ncrz(x53) q[0], q[1];\nry(x54) q[0];\nry(x55) q[1];\nry(x56) q[2];\nry(x57) q[3];\nry(x58) q[4];\nry(x59) q[5];\nry(x60) q[6];\nry(x61) q[7];\nry(x62) q[8];\ncrz(x63) q[8], q[7];\ncrz(x64) q[0], q[8];\ncrz(x65) q[0], q[1];\ncrz(x66) q[1], q[2];\ncrz(x67) q[2], q[3];\ncrz(x68) q[3], q[4];\ncrz(x69) q[4], q[5];\ncrz(x70) q[5], q[6];\ncrz(x51) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["f6f1c7b9b1d84ce9ee38fd30840502b2","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 6}, {\"weight\": 6, \"source\": 1, \"target\": 7}, {\"weight\": 1, \"source\": 2, \"target\": 8}, {\"weight\": 2, \"source\": 3, \"target\": 9}, {\"weight\": 17, \"source\": 3, \"target\": 14}, {\"weight\": 18, \"source\": 3, \"target\": 7}, {\"weight\": 1, \"source\": 4, \"target\": 10}, {\"weight\": 12, \"source\": 4, \"target\": 13}, {\"weight\": 4, \"source\": 5, \"target\": 11}, {\"weight\": 19, \"source\": 5, \"target\": 6}, {\"weight\": 19, \"source\": 5, \"target\": 10}]}","{\"states\": [213, 205], \"expectation_value\": -120.13992931350829, \"params\": [0.0029000000000000002, -2.5408, -0.0028, 0.8731, 0.0028, 0.6714, 1.5772000000000002, 0.0066, 1.5691000000000002, 0.0021000000000000003, 0.0026000000000000003, -1.8225, 2.0777, -0.8253, -1.2149, 1.016, 1.6178000000000001, -0.0023, 0.0028, 1.8370000000000002, 1.5809, 0.45020000000000004, 0.0039000000000000003, 0.0017000000000000001, 0.0028, 0.0095, -0.0028, 0.007, 1.5687, 0.0021000000000000003, 1.5673000000000001, 0.007, -0.0026000000000000003, 0.0029000000000000002, 2.2401, 0.0017000000000000001, 0.5485, 0.0004, 1.5274, 0.0092, -0.0028, 0.0034000000000000002, 1.5654000000000001, 0.0019, -0.8577, 0.0004, 0.0053, -0.663, 0.0059, 0.0007, 0.0016, -0.0024000000000000002, 0.33430000000000004, 0.0039000000000000003, 0.0051, -0.5568000000000001, 3.3188, 0.0059, 0.0068000000000000005, 0.0027, 0.9197000000000001, 0.0037, 0.0038, 0.9072, 0.0056, 0.0058000000000000005, 0.008, 0.008, 0.0068000000000000005, 0.0067, 0.007200000000000001, 0.0012000000000000001, 0.0041, 0.0046, 0.0077, 0.0017000000000000001, 0.0067, 0.0041, 0.0038, 0.007, 0.0022, 0.0092, 0.0053, 0.0019, 0.0056, 0.0036000000000000003, 0.006200000000000001, 0.0061], \"bitstrings\": [\"11100101010\", \"11100110010\"], \"total_optimization_steps\": 390, \"probabilities\": [0.431397686030915, 0.4519727942327776], \"optimization_time\": 18.09587574005127}","8.0 * (Z(1) @ Z(4)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(0) @ Z(10)) + 17.0 * Z(4) + -5.0 * Z(1) + 8.5 * Z(3) + 1.0 * Z(5) + -2.0 * Z(7) + 0.5 * Z(6) + 17.5 * Z(8) + 2.0 * Z(9) + 17.5 * Z(10) + -3.0 * Z(0) + -15.5 * Z(2)",16,11,2,"{\"smallest_eigenvalues\": [-126.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -115.5, \"smallest_bitstrings\": [\"11100110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.0029) q[0];\nrz(-2.5408) q[0];\nrx(-0.0028) q[1];\nrz(0.8731) q[1];\nrx(0.0028) q[2];\nrz(0.6714) q[2];\nrx(1.5772) q[3];\nrz(0.0066) q[3];\nrx(1.5691) q[4];\nrz(0.0021) q[4];\nrx(0.0026) q[5];\nrz(-1.8225) q[5];\nrx(2.0777) q[6];\nrz(-0.8253) q[6];\nrx(-1.2149) q[7];\nrz(1.016) q[7];\nrx(1.6178) q[8];\nrz(-0.0023) q[8];\nrx(0.0028) q[9];\nrz(1.837) q[9];\nrx(1.5809) q[10];\nrz(0.4502) q[10];\ncrz(-0.8577) q[1], q[0];\ncrz(0.0059) q[3], q[2];\ncrz(0.3343) q[5], q[4];\ncrz(3.3188) q[7], q[6];\ncrz(0.9197) q[9], q[8];\ncrz(-0.663) q[2], q[1];\ncrz(-0.0024) q[4], q[3];\ncrz(-0.5568) q[6], q[5];\ncrz(0.0027) q[8], q[7];\ncrz(0.9072) q[10], q[9];\nrx(0.0039) q[0];\nrz(0.0017) q[0];\nrx(0.0028) q[1];\nrz(0.0095) q[1];\nrx(-0.0028) q[2];\nrz(0.007) q[2];\nrx(1.5687) q[3];\nrz(0.0021) q[3];\nrx(1.5673) q[4];\nrz(0.007) q[4];\nrx(-0.0026) q[5];\nrz(0.0029) q[5];\nrx(2.2401) q[6];\nrz(0.0017) q[6];\nrx(0.5485) q[7];\nrz(0.0004) q[7];\nrx(1.5274) q[8];\nrz(0.0092) q[8];\nrx(-0.0028) q[9];\nrz(0.0034) q[9];\nrx(1.5654) q[10];\nrz(0.0019) q[10];\ncrz(0.008) q[1], q[0];\ncrz(0.0072) q[3], q[2];\ncrz(0.0077) q[5], q[4];\ncrz(0.0038) q[7], q[6];\ncrz(0.0053) q[9], q[8];\ncrz(0.0067) q[2], q[1];\ncrz(0.0046) q[4], q[3];\ncrz(0.0041) q[6], q[5];\ncrz(0.0092) q[8], q[7];\ncrz(0.0036) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x4) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\ncrz(x21) q[1], q[0];\ncrz(x22) q[3], q[2];\ncrz(x23) q[5], q[4];\ncrz(x24) q[7], q[6];\ncrz(x25) q[9], q[8];\ncrz(x26) q[2], q[1];\ncrz(x27) q[4], q[3];\ncrz(x28) q[6], q[5];\ncrz(x29) q[8], q[7];\ncrz(x30) q[10], q[9];\nrx(x31) q[0];\nrz(x32) q[0];\nrx(x4) q[1];\nrz(x33) q[1];\nrx(x2) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x9) q[3];\nrx(x36) q[4];\nrz(x34) q[4];\nrx(x37) q[5];\nrz(x0) q[5];\nrx(x38) q[6];\nrz(x32) q[6];\nrx(x39) q[7];\nrz(x40) q[7];\nrx(x41) q[8];\nrz(x42) q[8];\nrx(x2) q[9];\nrz(x43) q[9];\nrx(x44) q[10];\nrz(x45) q[10];\ncrz(x46) q[1], q[0];\ncrz(x47) q[3], q[2];\ncrz(x48) q[5], q[4];\ncrz(x49) q[7], q[6];\ncrz(x50) q[9], q[8];\ncrz(x51) q[2], q[1];\ncrz(x52) q[4], q[3];\ncrz(x53) q[6], q[5];\ncrz(x42) q[8], q[7];\ncrz(x54) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["ee3d1657115ac7fe63817a76eff6e74f","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 16, \"source\": 0, \"target\": 4}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 3, \"target\": 5}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 16, \"source\": 4, \"target\": 6}, {\"weight\": 12, \"source\": 5, \"target\": 7}, {\"weight\": 20, \"source\": 5, \"target\": 6}, {\"weight\": 10, \"source\": 6, \"target\": 7}]}","{\"states\": [181, 174], \"expectation_value\": -4.679644921101413, \"params\": [[-0.0298], [0.0252]], \"bitstrings\": [\"101001010\", \"101010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002490305726807627, 0.0025718382437567005], \"optimization_time\": 2.1079041957855225}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 12.5 * Z(1) + -3.0 * Z(0) + 15.0 * Z(3) + -2.5 * Z(2) + 15.5 * Z(4) + 17.0 * Z(5) + 23.5 * Z(6) + 15.0 * Z(7) + 9.5 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-86.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -78.0, \"smallest_bitstrings\": [\"101010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.2682) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.2682) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.2682) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.2682) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2682) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.2682) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.2682) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.2682) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.2682) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.2682) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.2682) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.2682) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(-0.2682) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(-0.2682) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.2682) q[8];\ncx q[7], q[8];\nrz(-0.745) q[1];\nrz(0.1788) q[0];\nrz(-0.894) q[3];\nrz(0.149) q[2];\nrz(-0.9238) q[4];\nrz(-1.0132) q[5];\nrz(-1.4006) q[6];\nrz(-0.894) q[7];\nrz(-0.5662) q[8];\nh q[0];\nrz(0.0504) q[0];\nh q[0];\nh q[1];\nrz(0.0504) q[1];\nh q[1];\nh q[2];\nrz(0.0504) q[2];\nh q[2];\nh q[3];\nrz(0.0504) q[3];\nh q[3];\nh q[4];\nrz(0.0504) q[4];\nh q[4];\nh q[5];\nrz(0.0504) q[5];\nh q[5];\nh q[6];\nrz(0.0504) q[6];\nh q[6];\nh q[7];\nrz(0.0504) q[7];\nh q[7];\nh q[8];\nrz(0.0504) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x3) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["7d035ca1bf1f85a5b9e73dc65bf927bc","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 18, \"source\": 0, \"target\": 4}, {\"weight\": 13, \"source\": 0, \"target\": 3}, {\"weight\": 14, \"source\": 0, \"target\": 6}, {\"weight\": 20, \"source\": 1, \"target\": 6}, {\"weight\": 14, \"source\": 1, \"target\": 4}, {\"weight\": 5, \"source\": 2, \"target\": 3}, {\"weight\": 3, \"source\": 4, \"target\": 5}]}","{\"states\": [252, 124], \"expectation_value\": -67.44221462638257, \"params\": [1.5642, 0.0022, 3.1399000000000004, 0.0032, 3.1399000000000004, 0.0022, 3.1399000000000004, 0.009000000000000001, 3.1399000000000004, 0.0061, 3.1394, 0.001, 0.0022, 0.006500000000000001, 0.1642, 0.0036000000000000003, 0.007500000000000001, 0.0061, 0.0032, 0.0004, 0.0063, 0.009600000000000001, 0.006500000000000001, 0.0063], \"bitstrings\": [\"00000011\", \"10000011\"], \"total_optimization_steps\": 340, \"probabilities\": [0.4933608304221902, 0.49991206003560673], \"optimization_time\": 24.778486251831055}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.5 * Z(1) + 15.5 * Z(0) + 21.0 * Z(2) + 15.0 * Z(3) + 14.0 * Z(5) + 15.0 * Z(4) + -1.5 * Z(6) + 1.5 * Z(7)",18,8,1,"{\"smallest_eigenvalues\": [-72.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -65.0, \"smallest_bitstrings\": [\"10000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(1.5642) q[0];\nrz(0.0022) q[0];\nrx(3.1399) q[1];\nrz(0.0032) q[1];\nrx(3.1399) q[2];\nrz(0.0022) q[2];\nrx(3.1399) q[3];\nrz(0.009) q[3];\nrx(3.1399) q[4];\nrz(0.0061) q[4];\nrx(3.1394) q[5];\nrz(0.001) q[5];\nrx(0.0022) q[6];\nrz(0.0065) q[6];\nrx(0.1642) q[7];\nrz(0.0036) q[7];\ncrz(0.0075) q[7], q[0];\ncrz(0.0063) q[6], q[7];\ncrz(0.0065) q[5], q[6];\ncrz(0.0096) q[4], q[5];\ncrz(0.0063) q[3], q[4];\ncrz(0.0004) q[2], q[3];\ncrz(0.0032) q[1], q[2];\ncrz(0.0061) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x2) q[2];\nrz(x1) q[2];\nrx(x2) q[3];\nrz(x4) q[3];\nrx(x2) q[4];\nrz(x5) q[4];\nrx(x6) q[5];\nrz(x7) q[5];\nrx(x1) q[6];\nrz(x8) q[6];\nrx(x9) q[7];\nrz(x10) q[7];\ncrz(x11) q[7], q[0];\ncrz(x12) q[6], q[7];\ncrz(x8) q[5], q[6];\ncrz(x13) q[4], q[5];\ncrz(x12) q[3], q[4];\ncrz(x14) q[2], q[3];\ncrz(x3) q[1], q[2];\ncrz(x5) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["ab38e7699e076f39debd51236acd2336","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 5, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [19, 31], \"expectation_value\": -0.7350870918575689, \"params\": [[-0.0022, 0.0022, 0.4041, 0.4073, 0.0025, 0.0019], [-0.3675, 0.401, 0.4016, 0.39930000000000004, 0.4077, 0.38120000000000004], [0.3688, 0.40800000000000003, 0.4058, 0.4035, 0.4082, -0.3815]], \"bitstrings\": [\"101100\", \"100000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.04838222014131821, 0.04839125951808018], \"optimization_time\": 3.781529426574707}","-0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5)",9,6,3,"{\"smallest_eigenvalues\": [-5.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.25, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.0022) q[0];\nrx(0.0022) q[1];\nrx(0.4041) q[2];\nrx(0.4073) q[3];\nrx(0.0025) q[4];\nrx(0.0019) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.3675) q[0];\nrx(0.401) q[1];\nrx(0.4016) q[2];\nrx(0.3993) q[3];\nrx(0.4077) q[4];\nrx(0.3812) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.3688) q[0];\nrx(0.408) q[1];\nrx(0.4058) q[2];\nrx(0.4035) q[3];\nrx(0.4082) q[4];\nrx(-0.3815) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x6) q[0];\nrx(x7) q[1];\nrx(x8) q[2];\nrx(x9) q[3];\nrx(x10) q[4];\nrx(x11) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x12) q[0];\nrx(x13) q[1];\nrx(x14) q[2];\nrx(x15) q[3];\nrx(x16) q[4];\nrx(x17) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["-8700814918655973787","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[2, 4, 7], [0, 1], [5, 6], [2, 4, 5], [1, 4, 7], [0, 6], [0, 8, 3], [2, 6], [1, 5, 7], [1, 2], [8, 3, 5], [3, 7], [8, 2, 7], [2, 3, 5], [0, 2, 5], [0, 2, 7], [8, 6, 7], [8, 1, 6]]}","{\"states\": [283, 331], \"expectation_value\": -0.20209354982298366, \"params\": [[0.0693], [-0.0683]], \"bitstrings\": [\"011100100\", \"010110100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0022334938153940687, 0.00227630519918246], \"optimization_time\": 4.742254734039307}","0.3333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.4999999999999999 * Z(4) + 0.9999999999999996 * Z(2) + 0.9999999999999998 * Z(7) + 0.4999999999999998 * Z(0) + 0.5 * Z(1) + 0.8333333333333333 * Z(5) + 0.33333333333333304 * Z(6) + 0.8333333333333333 * Z(8) + 0.4999999999999999 * Z(3)",1,9,1,"{\"smallest_eigenvalues\": [-5.333333333333332], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.999999999999999, \"smallest_bitstrings\": [\"010110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[2];\nrz(0.0462) q[2];\ncx q[4], q[2];\ncx q[4], q[7];\nrz(0.0462) q[7];\ncx q[4], q[7];\ncx q[2], q[7];\nrz(0.0693) q[7];\ncx q[2], q[7];\ncx q[2], q[0];\nrz(0.0462) q[0];\ncx q[2], q[0];\ncx q[7], q[0];\nrz(0.0231) q[0];\ncx q[7], q[0];\ncx q[4], q[1];\nrz(0.0231) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(0.0693) q[1];\ncx q[2], q[1];\ncx q[7], q[1];\nrz(0.0462) q[1];\ncx q[7], q[1];\ncx q[0], q[1];\nrz(0.0693) q[1];\ncx q[0], q[1];\ncx q[4], q[5];\nrz(0.0231) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(0.0693) q[5];\ncx q[2], q[5];\ncx q[7], q[5];\nrz(0.0231) q[5];\ncx q[7], q[5];\ncx q[0], q[5];\nrz(0.0231) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(0.0231) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(0.0693) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(0.0231) q[6];\ncx q[7], q[6];\ncx q[0], q[6];\nrz(0.0693) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(0.0231) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.0693) q[6];\ncx q[5], q[6];\ncx q[2], q[8];\nrz(0.0231) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(0.0462) q[8];\ncx q[7], q[8];\ncx q[0], q[8];\nrz(0.0231) q[8];\ncx q[0], q[8];\ncx q[1], q[8];\nrz(0.0231) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(0.0231) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(0.0462) q[8];\ncx q[6], q[8];\ncx q[2], q[3];\nrz(0.0231) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(0.0693) q[3];\ncx q[7], q[3];\ncx q[0], q[3];\nrz(0.0231) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(0.0462) q[3];\ncx q[5], q[3];\ncx q[8], q[3];\nrz(0.0462) q[3];\ncx q[8], q[3];\nrz(0.0693) q[4];\nrz(0.1386) q[2];\nrz(0.1386) q[7];\nrz(0.0693) q[0];\nrz(0.0693) q[1];\nrz(0.1155) q[5];\nrz(0.0462) q[6];\nrz(0.1155) q[8];\nrz(0.0693) q[3];\nh q[0];\nrz(-0.1366) q[0];\nh q[0];\nh q[1];\nrz(-0.1366) q[1];\nh q[1];\nh q[2];\nrz(-0.1366) q[2];\nh q[2];\nh q[3];\nrz(-0.1366) q[3];\nh q[3];\nh q[4];\nrz(-0.1366) q[4];\nh q[4];\nh q[5];\nrz(-0.1366) q[5];\nh q[5];\nh q[6];\nrz(-0.1366) q[6];\nh q[6];\nh q[7];\nrz(-0.1366) q[7];\nh q[7];\nh q[8];\nrz(-0.1366) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[7], q[0];\nrz(x2) q[0];\ncx q[7], q[0];\ncx q[4], q[1];\nrz(x2) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[7], q[1];\nrz(x0) q[1];\ncx q[7], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[7], q[5];\nrz(x2) q[5];\ncx q[7], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(x2) q[6];\ncx q[7], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[2], q[8];\nrz(x2) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\ncx q[0], q[8];\nrz(x2) q[8];\ncx q[0], q[8];\ncx q[1], q[8];\nrz(x2) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(x2) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(x1) q[3];\ncx q[7], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[8], q[3];\nrz(x0) q[3];\ncx q[8], q[3];\nrz(x1) q[4];\nrz(x3) q[2];\nrz(x3) q[7];\nrz(x1) q[0];\nrz(x1) q[1];\nrz(x4) q[5];\nrz(x0) q[6];\nrz(x4) q[8];\nrz(x1) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["d553277f50a2caebf7d64bfa2366fbf1","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 5, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}, {\"capacity\": 4, \"source\": 5, \"target\": 6}]}","{\"states\": [106, 43], \"expectation_value\": -9.239155916146645, \"params\": null, \"bitstrings\": [\"0010101\", \"1010100\"], \"total_optimization_steps\": 44, \"probabilities\": [0.08729663983404472, 0.7841655267931145], \"optimization_time\": 47.41298484802246}","-1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 * Z(2) + 0.5 * Z(5) + 1.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-10.0, -10.0, -10.0, -10.0, -10.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -7.0, \"smallest_bitstrings\": [\"1111110\", \"1111100\", \"1010100\", \"1000100\", \"1011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\ncry(-1.5708) q[6], q[0];\nry(1.1303) q[6];\nry(-1.5708) q[2];\nry(-0.5502) q[0];\ncry(1.5687) q[6], q[5];\ncry(1.5647) q[5], q[1];\ncry(0.2397) q[5], q[6];\ncry(-0.1186) q[5], q[0];\ncry(0.8971) q[1], q[3];\ncry(0.0376) q[1], q[6];\ncry(0.3779) q[0], q[3];\ncry(0.0406) q[3], q[0];\ncry(0.0304) q[1], q[5];\ncry(0.2157) q[0], q[5];\ncry(0.1764) q[5], q[3];\ncry(-0.0222) q[1], q[0];\ncry(0.0175) q[3], q[1];\ncry(-0.0127) q[6], q[1];\nry(-0.0082) q[5];\ncry(-0.0021) q[3], q[6];\ncry(0.0282) q[0], q[1];\ncry(0.0048) q[3], q[5];\nry(-0.0013) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}",{"$cut":{"chars":30648,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\ncry(1.5647) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\ncry(1.5647) q[5], q[1];\\ncry(0.2397) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\ncry(1.5647) q[5], q[1];\\ncry(0.2397) q[5], q[6];\\ncry(-0.1186) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\ncry(1.5647) q[5], q[1];\\ncry(0.2397) q[5], q[6];\\ncry(-0.1186) q[5], q[0];\\ncry(0.8971) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\nincl"}}]
["e05275d14653e116f32640e6b82829a5","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 6}, {\"weight\": 20, \"source\": 0, \"target\": 5}, {\"weight\": 14, \"source\": 1, \"target\": 5}, {\"weight\": 17, \"source\": 1, \"target\": 4}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 18, \"source\": 3, \"target\": 7}, {\"weight\": 3, \"source\": 4, \"target\": 5}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [342, 244], \"expectation_value\": -14.478090934464772, \"params\": [[0.023700000000000002, 0.014400000000000001], [-0.0432, -0.0596]], \"bitstrings\": [\"010101001\", \"100001011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0045136368393059, 0.005529656990048756], \"optimization_time\": 3.195190191268921}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(3) + 16.0 * Z(4) + 9.0 * Z(6) + -3.0 * Z(5) + 6.0 * Z(7) + 3.5 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-79.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -70.5, \"smallest_bitstrings\": [\"100001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.2133) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2133) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2133) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.2133) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.2133) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.2133) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.2133) q[4];\ncx q[3], q[4];\ncx q[6], q[5];\nrz(0.2133) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(0.2133) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.2133) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.2133) q[7];\ncx q[4], q[7];\ncx q[2], q[8];\nrz(0.2133) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.2133) q[8];\ncx q[6], q[8];\nrz(0.9006) q[1];\nrz(0.6399) q[0];\nrz(0.5214) q[2];\nrz(0.6162) q[3];\nrz(0.7584) q[4];\nrz(0.4266) q[6];\nrz(-0.1422) q[5];\nrz(0.2844) q[7];\nrz(0.1659) q[8];\nh q[0];\nrz(-0.0864) q[0];\nh q[0];\nh q[1];\nrz(-0.0864) q[1];\nh q[1];\nh q[2];\nrz(-0.0864) q[2];\nh q[2];\nh q[3];\nrz(-0.0864) q[3];\nh q[3];\nh q[4];\nrz(-0.0864) q[4];\nh q[4];\nh q[5];\nrz(-0.0864) q[5];\nh q[5];\nh q[6];\nrz(-0.0864) q[6];\nh q[6];\nh q[7];\nrz(-0.0864) q[7];\nh q[7];\nh q[8];\nrz(-0.0864) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.1296) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1296) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1296) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.1296) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.1296) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.1296) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.1296) q[4];\ncx q[3], q[4];\ncx q[6], q[5];\nrz(0.1296) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(0.1296) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.1296) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.1296) q[7];\ncx q[4], q[7];\ncx q[2], q[8];\nrz(0.1296) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.1296) q[8];\ncx q[6], q[8];\nrz(0.5472) q[1];\nrz(0.3888) q[0];\nrz(0.3168) q[2];\nrz(0.3744) q[3];\nrz(0.4608) q[4];\nrz(0.2592) q[6];\nrz(-0.0864) q[5];\nrz(0.1728) q[7];\nrz(0.1008) q[8];\nh q[0];\nrz(-0.1192) q[0];\nh q[0];\nh q[1];\nrz(-0.1192) q[1];\nh q[1];\nh q[2];\nrz(-0.1192) q[2];\nh q[2];\nh q[3];\nrz(-0.1192) q[3];\nh q[3];\nh q[4];\nrz(-0.1192) q[4];\nh q[4];\nh q[5];\nrz(-0.1192) q[5];\nh q[5];\nh q[6];\nrz(-0.1192) q[6];\nh q[6];\nh q[7];\nrz(-0.1192) q[7];\nh q[7];\nh q[8];\nrz(-0.1192) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[6];\nrz(x7) q[5];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[6], q[5];\nrz(x11) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x11) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x11) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x11) q[7];\ncx q[4], q[7];\ncx q[2], q[8];\nrz(x11) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x11) q[8];\ncx q[6], q[8];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[2];\nrz(x15) q[3];\nrz(x16) q[4];\nrz(x17) q[6];\nrz(x10) q[5];\nrz(x18) q[7];\nrz(x19) q[8];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nh q[7];\nrz(x20) q[7];\nh q[7];\nh q[8];\nrz(x20) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["06d1453a803eab917f2a75bdec826274","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [63, 31], \"expectation_value\": -8.526419522741405, \"params\": [[[1.6245, 0.0007], [0.0023, 0.0002], [0.0026000000000000003, 0.0078000000000000005], [0.0026000000000000003, 0.0098], [-0.002, 0.0046], [3.1588000000000003, 0.0012000000000000001]]], \"bitstrings\": [\"000000\", \"100000\"], \"total_optimization_steps\": 320, \"probabilities\": [0.4731215929100981, 0.5267983673685792], \"optimization_time\": 6.380439281463623}","-2.0 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + -0.5 * Z(0)",2,6,1,"{\"smallest_eigenvalues\": [-9.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.0, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(1.6245) q[0];\nrz(0.0007) q[0];\nrx(0.0023) q[1];\nrz(0.0002) q[1];\nrx(0.0026) q[2];\nrz(0.0078) q[2];\nrx(0.0026) q[3];\nrz(0.0098) q[3];\nrx(-0.002) q[4];\nrz(0.0046) q[4];\nrx(3.1588) q[5];\nrz(0.0012) q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x4) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"node\": 1}","{\"circuits\": [], \"gradients\": []}"]
["2c71b067381ef1c33c379c68c7a1f361","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 6, \"target\": 10}, {\"source\": 6, \"target\": 11}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 11}]}","{\"states\": [463, 511], \"expectation_value\": -14.105747196779436, \"params\": null, \"bitstrings\": [\"11000110000\", \"11000000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.14816628003550553, 0.36138429786171394], \"optimization_time\": 280.8846950531006}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(5)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(6)) + -3.0 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(8) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(10) + 0.5 * Z(8)",1,11,1,"{\"smallest_eigenvalues\": [-23.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -20.5, \"smallest_bitstrings\": [\"11000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[10], q[5];\nry(1.0258) q[10];\ncry(1.5708) q[5], q[7];\ncry(1.5648) q[7], q[9];\ncry(-1.2145) q[7], q[5];\nry(0.0346) q[5];\ncry(0.0052) q[9], q[5];\ncry(1.2043) q[6], q[5];\ncry(0.7562) q[4], q[5];\ncry(1.3552) q[5], q[6];\ncry(1.5708) q[10], q[8];\ncry(1.5681) q[4], q[3];\ncry(1.5708) q[3], q[2];\nry(-1.5681) q[1];\nry(-1.5708) q[0];\ncry(1.0516) q[2], q[4];\ncry(0.4157) q[2], q[3];\ncry(-0.1603) q[6], q[7];\ncry(0.2271) q[9], q[7];\nry(0.0198) q[7];\nry(-0.1388) q[6];\ncry(0.9998) q[3], q[5];\ncry(0.1742) q[2], q[5];\ncry(0.1336) q[8], q[5];\ncry(0.8288) q[7], q[6];\ncry(0.5544) q[6], q[10];\ncry(0.1925) q[10], q[7];\nry(0.2568) q[4];\ncry(0.1907) q[4], q[6];\ncry(-0.1897) q[9], q[6];\ncry(-0.1901) q[7], q[10];\ncry(0.2747) q[4], q[10];\ncry(-0.1923) q[9], q[10];\ncry(0.1676) q[3], q[6];\ncry(-0.1101) q[8], q[6];\ncry(0.1635) q[3], q[10];\ncry(0.0611) q[3], q[7];\ncry(-0.0713) q[8], q[7];\ncry(0.0589) q[2], q[7];\ncry(-0.0782) q[5], q[10];\nry(-0.0813) q[2];\ncry(0.0591) q[2], q[6];\ncry(0.067) q[8], q[10];\ncry(-0.0437) q[10], q[6];\ncry(0.0762) q[4], q[2];\ncry(-0.0702) q[9], q[2];\ncry(0.0784) q[3], q[4];\ncry(-0.0924) q[6], q[4];\ncry(-0.0292) q[6], q[3];\nry(0.0301) q[3];\ncry(0.1016) q[5], q[4];\nry(-0.0336) q[9];\ncry(0.0625) q[5], q[9];\ncry(-0.0511) q[2], q[9];\nry(-0.0383) q[8];\ncry(0.1024) q[5], q[8];\ncry(-0.0531) q[9], q[8];\ncry(0.0269) q[5], q[3];\ncry(-0.0027) q[9], q[1];\ncry(0.018) q[10], q[9];\ncry(-0.0141) q[8], q[9];\ncry(0.0184) q[2], q[10];\ncry(0.0218) q[7], q[8];\ncry(-0.0272) q[6], q[8];\ncry(0.0186) q[3], q[8];\ncry(-0.0154) q[10], q[4];\ncry(-0.0036) q[9], q[3];\ncry(-0.0188) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"node\": 0}",{"$cut":{"chars":148092,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5708) q[10], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5708) q[10], q[5];\\nry(1.0258) q[10];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5708) q[10], q[5];\\nry(1.0258) q[10];\\ncry(1.5708) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5708) q[10], q[5];\\nry(1.0258) q[10];\\ncry(1.5708) q[5], q[7];\\ncry(1.5648) q[7], q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5708) q[10], q[5];\\nry(1.0258) q[10];\\ncry(1.5708) q[5], q[7];\\ncry(1.5648) q[7], q[9];\\ncry(-1.2145) q[7], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5708) q[10], q[5];\\nry(1.0258) q[10];\\ncry(1.5708) q[5], q[7];\\ncry(1.5648) q[7], q[9];\\ncry(-1.2145) q[7], q[5];\\nry(0.0346) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5708) q[10], q[5];\\nry(1.0258) q[10];\\ncry(1.5708) q[5], q[7];\\ncry(1.5648) q[7], q[9];\\ncry(-1.2145) q[7], q[5];\\nry(0.0346) q[5];\\ncry(0.0052) q[9], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5708) q[10], q[5];\\nry(1.0258) q[10];\\ncry(1.5708) q[5], q[7];\\ncry(1.5648) q[7], q[9];\\ncry(-1.2145) q[7], q[5];\\nry(0.0346) q[5];\\ncry(0.0052) q[9], q[5];\\ncry(1.2043) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];"}}]
["34d5dc2e9aad35b904c913d8064475cf","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 16, \"source\": 0, \"target\": 4}, {\"weight\": 14, \"source\": 0, \"target\": 8}, {\"weight\": 19, \"source\": 1, \"target\": 8}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 19, \"source\": 2, \"target\": 7}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 17, \"source\": 5, \"target\": 6}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [362, 234], \"expectation_value\": -27.603664866189476, \"params\": null, \"bitstrings\": [\"010010101\", \"100010101\"], \"total_optimization_steps\": 100, \"probabilities\": [0.09285138134402245, 0.14514992083020858], \"optimization_time\": 144.972181558609}","5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 12.0 * Z(2) + 9.0 * Z(0) + 13.0 * Z(1) + 9.5 * Z(3) + 9.5 * Z(5) + -3.0 * Z(4) + 2.0 * Z(6) + 8.5 * Z(7) + 3.5 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-71.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -65.0, \"smallest_bitstrings\": [\"100010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(63.0918) q[1];\nry(16.4798) q[2];\nry(63.0878) q[3];\ncry(7.5414) q[3], q[1];\ncry(11.0823) q[1], q[3];\nry(5.0614) q[5];\nry(1.6193) q[7];\ncry(-0.4365) q[1], q[6];\ncry(0.1123) q[3], q[6];\ncry(0.0221) q[7], q[6];\nry(0.0009) q[6];\nry(0.2043) q[0];\ncry(0.0012) q[7], q[0];\ncry(-0.9371) q[0], q[6];\ncry(-0.4826) q[7], q[3];\ncry(-3.5478) q[7], q[2];\ncry(16.9668) q[7], q[5];\ncry(-1.0039) q[1], q[5];\ncry(-0.4145) q[5], q[4];\nry(0.1524) q[4];\ncry(-0.0004) q[7], q[4];\ncry(0.1959) q[1], q[4];\ncry(-0.2214) q[5], q[8];\ncry(-0.3215) q[3], q[4];\ncry(-0.1822) q[7], q[8];\ncry(2.6325) q[3], q[5];\ncry(1.2051) q[5], q[2];\ncry(0.0025) q[2], q[6];\ncry(1.9657) q[3], q[8];\ncry(0.5744) q[8], q[6];\ncry(-1.1711) q[4], q[6];\ncry(-2.1127) q[2], q[5];\ncry(-1.1999) q[2], q[4];\ncry(-1.3957) q[8], q[5];\ncry(-0.8221) q[5], q[6];\ncry(-1.8003) q[3], q[0];\ncry(0.882) q[3], q[2];\ncry(36.4562) q[8], q[1];\ncry(-4.4652) q[7], q[1];\ncry(-0.1774) q[2], q[1];\ncry(-0.2234) q[2], q[0];\ncry(0.6433) q[5], q[0];\ncry(1.1075) q[0], q[5];\ncry(1.4318) q[5], q[1];\ncry(-1.0714) q[4], q[1];\ncry(1.4769) q[8], q[2];\ncry(2.1895) q[8], q[0];\ncry(0.0516) q[0], q[1];\ncry(-1.1624) q[0], q[2];\ncry(-0.0999) q[0], q[4];\ncry(-0.6185) q[5], q[3];\ncry(-0.9206) q[6], q[1];\ncry(0.4482) q[0], q[3];\ncry(-1.6095) q[6], q[5];\ncry(-3.0096) q[0], q[8];\ncry(0.8137) q[4], q[0];\ncry(-0.2395) q[8], q[4];\ncry(0.5739) q[6], q[0];\ncry(0.1063) q[2], q[8];\ncry(0.3229) q[1], q[2];\ncry(0.2367) q[6], q[3];\ncry(-0.8691) q[2], q[3];\ncry(-2.1982) q[1], q[0];\ncry(3.8311) q[5], q[7];\ncry(0.4162) q[2], q[7];\ncry(0.3248) q[3], q[7];\ncry(0.4394) q[0], q[7];\ncry(1.1189) q[1], q[7];\ncry(1.2305) q[8], q[7];\ncry(-1.0401) q[4], q[7];\nry(-0.6483) q[8];\ncry(-0.6902) q[8], q[3];\ncry(0.7502) q[1], q[8];\ncry(0.2829) q[4], q[3];\ncry(0.4589) q[4], q[2];\ncry(-0.4414) q[6], q[4];\ncry(1.1983) q[4], q[5];\ncry(-0.3262) q[4], q[8];\ncry(-0.0823) q[6], q[2];\ncry(0.1123) q[6], q[7];\ncry(-0.0971) q[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 9}\"}",{"$cut":{"chars":154073,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(63.0918) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(63.0918) q[1];\\nry(16.4798) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(63.0918) q[1];\\nry(16.4798) q[2];\\nry(63.0878) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(63.0918) q[1];\\nry(16.4798) q[2];\\nry(63.0878) q[3];\\ncry(7.5414) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(63.0918) q[1];\\nry(16.4798) q[2];\\nry(63.0878) q[3];\\ncry(7.5414) q[3], q[1];\\ncry(11.0823) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(63.0918) q[1];\\nry(16.4798) q[2];\\nry(63.0878) q[3];\\ncry(7.5414) q[3], q[1];\\ncry(11.0823) q[1], q[3];\\nry(5.0614) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(63.0918) q[1];\\nry(16.4798) q[2];\\nry(63.0878) q[3];\\ncry(7.5414) q[3], q[1];\\ncry(11.0823) q[1], q[3];\\nry(5.0614) q[5];\\nry(1.6193) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(63.0918) q[1];\\nry(16.4798) q[2];\\nry(63.0878) q[3];\\ncry(7.5414) q[3], q[1];\\ncry(11.0823) q[1], q[3];\\nry(5.0614) q[5];\\nry(1.6193) q[7];\\ncry(-0.4365) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(63.0918) q[1];\\nry(16.4798) q[2];\\nry(63.0878) q[3];\\ncry(7.5414) q[3], q[1];\\ncry(11.0823) q[1], q[3];\\nry(5.0614) q[5];\\nry(1.6193) q[7];\\ncry(-0.4365) q[1], q[6];\\ncry(0.1123) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"O"}}]
["41c6fd253707f3493d5d4e5aa1da9109","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 4, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 3, \"source\": 1, \"target\": 7}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 4, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 6, \"target\": 5}]}","{\"states\": [11, 1], \"expectation_value\": -0.613217258880776, \"params\": [[0.057800000000000004], [-0.055600000000000004]], \"bitstrings\": [\"11110100\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004957119116327436, 0.005304855002389227], \"optimization_time\": 2.27797532081604}","-0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + 1.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + 1.0 * Z(4) + -0.5 * Z(5) + -1.0 * Z(6) + 2.25 * Z(7) + -0.75 * Z(3)",1,8,1,"{\"smallest_eigenvalues\": [-15.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.5, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.0578) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1156) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1156) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.0578) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0578) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.1156) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.1156) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0578) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(-0.0289) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(-0.1156) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0289) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.0867) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.3757) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(-0.0289) q[7];\ncx q[5], q[7];\ncx q[1], q[3];\nrz(-0.0289) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(-0.1156) q[3];\ncx q[5], q[3];\nrz(0.1445) q[1];\nrz(-0.0289) q[0];\nrz(-0.2312) q[2];\nrz(0.1156) q[4];\nrz(-0.0578) q[5];\nrz(-0.1156) q[6];\nrz(0.2601) q[7];\nrz(-0.0867) q[3];\nh q[0];\nrz(-0.1112) q[0];\nh q[0];\nh q[1];\nrz(-0.1112) q[1];\nh q[1];\nh q[2];\nrz(-0.1112) q[2];\nh q[2];\nh q[3];\nrz(-0.1112) q[3];\nh q[3];\nh q[4];\nrz(-0.1112) q[4];\nh q[4];\nh q[5];\nrz(-0.1112) q[5];\nh q[5];\nh q[6];\nrz(-0.1112) q[6];\nh q[6];\nh q[7];\nrz(-0.1112) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(x1) q[3];\ncx q[5], q[3];\nrz(x5) q[1];\nrz(x2) q[0];\nrz(x6) q[2];\nrz(x7) q[4];\nrz(x0) q[5];\nrz(x1) q[6];\nrz(x8) q[7];\nrz(x3) q[3];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["fc2a0aab6aa71710f421b73642e2514f","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [12, 50], \"expectation_value\": -1.01270502336366, \"params\": [[0.0611, 0.0631, 0.0442, 0.0137], [-0.0645, -0.0635, -0.045700000000000005, -0.033]], \"bitstrings\": [\"110011\", \"001101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.026115473688668005, 0.027757966422338763], \"optimization_time\": 8.37242078781128}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4)",1,6,4,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.0611) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0611) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(0.0611) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0611) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0611) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(0.0611) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(0.0611) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0611) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.0611) q[4];\ncx q[5], q[4];\nrz(-0.1222) q[2];\nrz(-0.1222) q[0];\nrz(-0.1833) q[3];\nrz(-0.1833) q[5];\nrz(0) q[1];\nrz(-0.1222) q[4];\nh q[0];\nrz(-0.129) q[0];\nh q[0];\nh q[1];\nrz(-0.129) q[1];\nh q[1];\nh q[2];\nrz(-0.129) q[2];\nh q[2];\nh q[3];\nrz(-0.129) q[3];\nh q[3];\nh q[4];\nrz(-0.129) q[4];\nh q[4];\nh q[5];\nrz(-0.129) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0631) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0631) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(0.0631) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0631) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0631) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(0.0631) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(0.0631) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0631) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.0631) q[4];\ncx q[5], q[4];\nrz(-0.1262) q[2];\nrz(-0.1262) q[0];\nrz(-0.1893) q[3];\nrz(-0.1893) q[5];\nrz(0) q[1];\nrz(-0.1262) q[4];\nh q[0];\nrz(-0.127) q[0];\nh q[0];\nh q[1];\nrz(-0.127) q[1];\nh q[1];\nh q[2];\nrz(-0.127) q[2];\nh q[2];\nh q[3];\nrz(-0.127) q[3];\nh q[3];\nh q[4];\nrz(-0.127) q[4];\nh q[4];\nh q[5];\nrz(-0.127) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0442) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0442) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(0.0442) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0442) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0442) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(0.0442) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(0.0442) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0442) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.0442) q[4];\ncx q[5], q[4];\nrz(-0.0884) q[2];\nrz(-0.0884) q[0];\nrz(-0.1326) q[3];\nrz(-0.1326) q[5];\nrz(0) q[1];\nrz(-0.0884) q[4];\nh q[0];\nrz(-0.0914) q[0];\nh q[0];\nh q[1];\nrz(-0.0914) q[1];\nh q[1];\nh q[2];\nrz(-0.0914) q[2];\nh q[2];\nh q[3];\nrz(-0.0914) q[3];\nh q[3];\nh q[4];\nrz(-0.0914) q[4];\nh q[4];\nh q[5];\nrz(-0.0914) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0137) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0137) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(0.0137) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0137) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0137) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(0.0137) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(0.0137) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0137) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.0137) q[4];\ncx q[5], q[4];\nrz(-0.0274) q[2];\nrz(-0.0274) q[0];\nrz(-0.0411) q[3];\nrz(-0.0411) q[5];\nrz(0) q[1];\nrz(-0.0274) q[4];\nh q[0];\nrz(-0.066) q[0];\nh q[0];\nh q[1];\nrz(-0.066) q[1];\nh q[1];\nh q[2];\nrz(-0.066) q[2];\nh q[2];\nh q[3];\nrz(-0.066) q[3];\nh q[3];\nh q[4];\nrz(-0.066) q[4];\nh q[4];\nh q[5];\nrz(-0.066) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x3) q[1];\nrz(x1) q[4];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(x5) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x5) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x5) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(x5) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x5) q[4];\ncx q[5], q[4];\nrz(x6) q[2];\nrz(x6) q[0];\nrz(x7) q[3];\nrz(x7) q[5];\nrz(x3) q[1];\nrz(x6) q[4];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x9) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(x9) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x9) q[4];\ncx q[5], q[4];\nrz(x10) q[2];\nrz(x10) q[0];\nrz(x11) q[3];\nrz(x11) q[5];\nrz(x3) q[1];\nrz(x10) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x13) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x13) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(x13) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x13) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x13) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(x13) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(x13) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x13) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x13) q[4];\ncx q[5], q[4];\nrz(x14) q[2];\nrz(x14) q[0];\nrz(x15) q[3];\nrz(x15) q[5];\nrz(x3) q[1];\nrz(x14) q[4];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["e087bb7a2ab5b6cd6822b49db98164ad","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 6}]}","{\"states\": [39, 47], \"expectation_value\": -5.062697837579946, \"params\": null, \"bitstrings\": [\"1011000\", \"1010000\"], \"total_optimization_steps\": 38, \"probabilities\": [0.3117844399029031, 0.3119944309396887], \"optimization_time\": 29.36177682876587}","-0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.0 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-5.25, -5.25, -5.25, -5.25, -5.25], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -4.25, \"smallest_bitstrings\": [\"1000000\", \"1010000\", \"1111100\", \"1110100\", \"1011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\ncry(1.5486) q[1], q[4];\ncry(1.2165) q[4], q[1];\ncry(-1.5158) q[6], q[0];\nry(1.0305) q[6];\nry(-0.4218) q[0];\ncry(1.3539) q[6], q[5];\ncry(0.2656) q[5], q[6];\ncry(-0.2013) q[5], q[0];\ncry(0.0719) q[1], q[6];\nry(0.1937) q[5];\ncry(0.0594) q[4], q[0];\ncry(-0.0535) q[0], q[6];\nry(0.0101) q[4];\ncry(0.0137) q[3], q[6];\ncry(-0.0066) q[4], q[6];\ncry(0.0247) q[1], q[5];\nry(0.0089) q[1];\ncry(0.0072) q[5], q[4];\ncry(0.016) q[1], q[0];\ncry(0.0069) q[5], q[1];\ncry(0.0054) q[6], q[4];\ncry(-0.0103) q[3], q[0];\ncry(0.0052) q[6], q[1];\ncry(0.0042) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}",{"$cut":{"chars":24978,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\ncry(1.5486) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\ncry(1.5486) q[1], q[4];\\ncry(1.2165) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\ncry(1.5486) q[1], q[4];\\ncry(1.2165) q[4], q[1];\\ncry(-1.5158) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\ncry(1.5486) q[1], q[4];\\ncry(1.2165) q[4], q[1];\\ncry(-1.5158) q[6], q[0];\\nry(1.0305) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\ncry(1.5486) q[1], q[4];\\ncry(1.2165) q[4], q[1];\\ncry(-1.5158) q[6], q[0];\\nry(1.0305) q[6];\\nry(-0.4218) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\ncry(1.5486) q[1], q[4];\\ncry(1.2165) q[4], q[1];\\ncry(-1.5158) q[6], q[0];\\nry(1.0305) q[6];\\nry(-0.4218) q[0];\\ncry(1.3539) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\ncry(1.5486) q[1], q[4];\\ncry(1.2165) q[4], q[1];\\ncry(-1.5158) q[6], q[0];\\nry(1.0305) q[6];\\nry(-0.4218) q[0];\\ncry(1.3539) q[6], q[5];\\ncry(0.2656) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\ncry(1.5486) q[1], q[4];\\ncry(1.2165) q[4], q[1];\\ncry(-1.5158) q[6], q[0];\\nry(1.0305) q[6];\\nry(-0.4218) q[0];\\ncry(1.3539) q[6], q[5];\\ncry(0.2656) q[5], q[6];\\ncry(-0.2013) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\ncry(1.5486) q[1], q[4];\\ncry(1.2165) q[4], q[1];\\ncry(-1.5158) q[6], q[0];\\nry(1.0305) q[6];\\nry(-0.4218) q[0];\\ncry(1.3539) q[6], q[5];\\ncry(0.2656) q[5], q[6];\\ncry(-0.2013) q[5], q[0];\\ncry(0.0719) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = "}}]
["be7e2cb61602e2e9b2101189bb676973","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 8}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 8}, {\"capacity\": 3, \"source\": 2, \"target\": 9}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 8}, {\"capacity\": 3, \"source\": 3, \"target\": 9}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 9}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 4}, {\"capacity\": 2, \"source\": 6, \"target\": 5}, {\"capacity\": 3, \"source\": 7, \"target\": 1}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 2, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 5}, {\"capacity\": 2, \"source\": 7, \"target\": 8}, {\"capacity\": 2, \"source\": 7, \"target\": 9}, {\"capacity\": 2, \"source\": 8, \"target\": 1}, {\"capacity\": 2, \"source\": 8, \"target\": 2}, {\"capacity\": 1, \"source\": 8, \"target\": 4}, {\"capacity\": 1, \"source\": 8, \"target\": 6}, {\"capacity\": 3, \"source\": 8, \"target\": 9}]}","{\"states\": [511, 479], \"expectation_value\": -0.7319230863870387, \"params\": [[0.07440000000000001], [-0.0663]], \"bitstrings\": [\"1000000000\", \"1000100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0016318504252552774, 0.0016459224544879377], \"optimization_time\": 3.742469310760498}","-0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + 2.0 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(2)) + -0.75 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(9)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(2) + -1.25 * Z(4) + 0.0 * Z(6) + 0.5 * Z(3) + 0.75 * Z(8) + 0.5 * Z(5) + -1.25 * Z(9) + 1.5 * Z(7)",1,10,1,"{\"smallest_eigenvalues\": [-16.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.75, \"smallest_bitstrings\": [\"1000100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(-0.0744) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0744) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0372) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(-0.1116) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(-0.0372) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(-0.0372) q[6];\ncx q[4], q[6];\ncx q[1], q[3];\nrz(-0.1488) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.1116) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(-0.0372) q[3];\ncx q[6], q[3];\ncx q[1], q[8];\nrz(-0.1488) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(-0.1116) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(-0.0372) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(-0.0372) q[8];\ncx q[6], q[8];\ncx q[3], q[8];\nrz(-0.0372) q[8];\ncx q[3], q[8];\ncx q[2], q[5];\nrz(-0.1116) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0372) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(-0.1488) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(-0.0744) q[5];\ncx q[3], q[5];\ncx q[0], q[9];\nrz(0.2976) q[9];\ncx q[0], q[9];\ncx q[2], q[9];\nrz(-0.1116) q[9];\ncx q[2], q[9];\ncx q[3], q[9];\nrz(-0.1116) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(-0.1116) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(-0.0744) q[9];\ncx q[5], q[9];\ncx q[1], q[7];\nrz(-0.1116) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(-0.1116) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(-0.1488) q[7];\ncx q[3], q[7];\ncx q[8], q[7];\nrz(-0.0744) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(-0.1488) q[7];\ncx q[5], q[7];\ncx q[9], q[7];\nrz(-0.0744) q[7];\ncx q[9], q[7];\nrz(-0.0372) q[1];\nrz(-0.0372) q[0];\nrz(-0.0372) q[2];\nrz(-0.186) q[4];\nrz(0) q[6];\nrz(0.0744) q[3];\nrz(0.1116) q[8];\nrz(0.0744) q[5];\nrz(-0.186) q[9];\nrz(0.2232) q[7];\nh q[0];\nrz(-0.1326) q[0];\nh q[0];\nh q[1];\nrz(-0.1326) q[1];\nh q[1];\nh q[2];\nrz(-0.1326) q[2];\nh q[2];\nh q[3];\nrz(-0.1326) q[3];\nh q[3];\nh q[4];\nrz(-0.1326) q[4];\nh q[4];\nh q[5];\nrz(-0.1326) q[5];\nh q[5];\nh q[6];\nrz(-0.1326) q[6];\nh q[6];\nh q[7];\nrz(-0.1326) q[7];\nh q[7];\nh q[8];\nrz(-0.1326) q[8];\nh q[8];\nh q[9];\nrz(-0.1326) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[1], q[8];\nrz(x3) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(x2) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(x1) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x1) q[8];\ncx q[6], q[8];\ncx q[3], q[8];\nrz(x1) q[8];\ncx q[3], q[8];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x3) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[0], q[9];\nrz(x4) q[9];\ncx q[0], q[9];\ncx q[2], q[9];\nrz(x2) q[9];\ncx q[2], q[9];\ncx q[3], q[9];\nrz(x2) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(x2) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(x0) q[9];\ncx q[5], q[9];\ncx q[1], q[7];\nrz(x2) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x2) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(x3) q[7];\ncx q[3], q[7];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(x3) q[7];\ncx q[5], q[7];\ncx q[9], q[7];\nrz(x0) q[7];\ncx q[9], q[7];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x5) q[4];\nrz(x6) q[6];\nrz(x7) q[3];\nrz(x8) q[8];\nrz(x7) q[5];\nrz(x5) q[9];\nrz(x9) q[7];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\nh q[9];\nrz(x10) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["570afb120ac224dc3123b6884272022a","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [618, 874], \"expectation_value\": -2.300475943752687, \"params\": [[1.1455, 0.5677, -0.16540000000000002, 0.7835000000000001, 0.8401000000000001, -0.0058000000000000005, 1.4994, -0.0026000000000000003, 1.5048000000000001, 0.1699], [1.4954, 1.5015, 0.8662000000000001, 1.5009000000000001, 1.5001, 0.8478, 1.502, -0.0026000000000000003, 1.4985000000000002, 0.4329]], \"bitstrings\": [\"0110010101\", \"0010010101\"], \"total_optimization_steps\": 150, \"probabilities\": [0.12756130045549857, 0.13538314798296866], \"optimization_time\": 4.731415033340454}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(6) @ Z(0) @ Z(7)) + -0.125 * (Z(6) @ Z(0) @ Z(8)) + -0.125 * (Z(0) @ Z(8) @ Z(7)) + -0.125 * (Z(6) @ Z(7) @ Z(8)) + 0.125 * (Z(6) @ Z(0) @ Z(8) @ Z(7)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(9)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(9)) + 0.125 * (Z(6) @ Z(9)) + -0.125 * (Z(6) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) @ Z(9)) + -0.125 * (Z(6) @ Z(1) @ Z(9)) + -0.125 * (Z(6) @ Z(3) @ Z(9)) + 0.125 * (Z(6) @ Z(1) @ Z(3) @ Z(9)) + 0.25 * (Z(8) @ Z(4)) + 0.25 * (Z(9) @ Z(4)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.125 * Z(0) + 0.125 * Z(1) + -0.25 * Z(2) + 0.125 * Z(3) + 0.0 * Z(4) + -0.25 * Z(5) + 0.25 * Z(6) + -0.625 * Z(7) + 0.125 * Z(8) + 0.125 * Z(9)",10,10,1,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 11, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"1000010101\", \"0100010101\", \"0010100101\", \"0010101100\", \"0011000110\", \"0100010110\", \"0010010101\", \"0011100100\", \"0100110100\", \"0011000101\", \"0110100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(1.1455) q[0];\nry(0.5677) q[1];\nry(-0.1654) q[2];\nry(0.7835) q[3];\nry(0.8401) q[4];\nry(-0.0058) q[5];\nry(1.4994) q[6];\nry(-0.0026) q[7];\nry(1.5048) q[8];\nry(0.1699) q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[9];\nry(1.4954) q[0];\nry(1.5015) q[1];\nry(0.8662) q[2];\nry(1.5009) q[3];\nry(1.5001) q[4];\nry(0.8478) q[5];\nry(1.502) q[6];\nry(-0.0026) q[7];\nry(1.4985) q[8];\nry(0.4329) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[9];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x7) q[7];\nry(x17) q[8];\nry(x18) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["a9b922514c992be93699dd7db70ce8b4","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [100, 82], \"expectation_value\": -0.11283177575013766, \"params\": [[-0.0424], [0.051000000000000004]], \"bitstrings\": [\"0011011\", \"0101101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008258632097387072, 0.00825889896053929], \"optimization_time\": 1.5600612163543701}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"0001111\", \"0101101\", \"1000111\", \"0011011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(-0.0424) q[0];\ncx q[3], q[0];\ncx q[3], q[6];\nrz(-0.0424) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(-0.0424) q[6];\ncx q[0], q[6];\ncx q[3], q[5];\nrz(-0.0424) q[5];\ncx q[3], q[5];\ncx q[5], q[1];\nrz(-0.0424) q[1];\ncx q[5], q[1];\ncx q[6], q[2];\nrz(-0.0424) q[2];\ncx q[6], q[2];\ncx q[3], q[4];\nrz(-0.0424) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.0424) q[4];\ncx q[6], q[4];\ncx q[5], q[4];\nrz(-0.0424) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(-0.0424) q[4];\ncx q[2], q[4];\nrz(0.1272) q[3];\nrz(0.0424) q[0];\nrz(0.1272) q[6];\nrz(0.0848) q[5];\nrz(0) q[1];\nrz(0.0424) q[2];\nrz(0.1272) q[4];\nh q[0];\nrz(0.102) q[0];\nh q[0];\nh q[1];\nrz(0.102) q[1];\nh q[1];\nh q[2];\nrz(0.102) q[2];\nh q[2];\nh q[3];\nrz(0.102) q[3];\nh q[3];\nh q[4];\nrz(0.102) q[4];\nh q[4];\nh q[5];\nrz(0.102) q[5];\nh q[5];\nh q[6];\nrz(0.102) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x1) q[6];\nrz(x3) q[5];\nrz(x4) q[1];\nrz(x2) q[2];\nrz(x1) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["aacaa96485aecd447212f3a2ddad723b","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 6, \"source\": 0, \"target\": 7}, {\"capacity\": 5, \"source\": 0, \"target\": 8}, {\"capacity\": 2, \"source\": 1, \"target\": 8}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 2}, {\"capacity\": 4, \"source\": 6, \"target\": 2}, {\"capacity\": 5, \"source\": 6, \"target\": 5}, {\"capacity\": 6, \"source\": 6, \"target\": 7}, {\"capacity\": 3, \"source\": 7, \"target\": 2}]}","{\"states\": [129, 161], \"expectation_value\": -3.661792492235967, \"params\": [[-0.0502, -0.060000000000000005, -0.0748], [0.061700000000000005, 0.0603, 0.0684]], \"bitstrings\": [\"101111110\", \"101011110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006899538313254035, 0.007035015823757349], \"optimization_time\": 4.411238431930542}","-0.25 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(0)) + 2.0 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + 3.5 * Z(6) + -0.25 * Z(0) + -2.25 * Z(7) + 1.5 * Z(8) + 0.5 * Z(1) + -2.5 * Z(2) + -0.75 * Z(4) + 1.5 * Z(3) + -1.25 * Z(5)",1,9,3,"{\"smallest_eigenvalues\": [-15.0, -15.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -14.0, \"smallest_bitstrings\": [\"101111110\", \"101011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[6], q[0];\nrz(0.0251) q[0];\ncx q[6], q[0];\ncx q[6], q[7];\nrz(0.1506) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(0.1506) q[7];\ncx q[0], q[7];\ncx q[0], q[8];\nrz(-0.2008) q[8];\ncx q[0], q[8];\ncx q[8], q[1];\nrz(0.0502) q[1];\ncx q[8], q[1];\ncx q[6], q[2];\nrz(0.1004) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(0.0753) q[2];\ncx q[7], q[2];\ncx q[2], q[4];\nrz(0.0753) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(0.1506) q[3];\ncx q[2], q[3];\ncx q[6], q[5];\nrz(0.1255) q[5];\ncx q[6], q[5];\nrz(-0.3514) q[6];\nrz(0.0251) q[0];\nrz(0.2259) q[7];\nrz(-0.1506) q[8];\nrz(-0.0502) q[1];\nrz(0.251) q[2];\nrz(0.0753) q[4];\nrz(-0.1506) q[3];\nrz(0.1255) q[5];\nh q[0];\nrz(0.1234) q[0];\nh q[0];\nh q[1];\nrz(0.1234) q[1];\nh q[1];\nh q[2];\nrz(0.1234) q[2];\nh q[2];\nh q[3];\nrz(0.1234) q[3];\nh q[3];\nh q[4];\nrz(0.1234) q[4];\nh q[4];\nh q[5];\nrz(0.1234) q[5];\nh q[5];\nh q[6];\nrz(0.1234) q[6];\nh q[6];\nh q[7];\nrz(0.1234) q[7];\nh q[7];\nh q[8];\nrz(0.1234) q[8];\nh q[8];\ncx q[6], q[0];\nrz(0.03) q[0];\ncx q[6], q[0];\ncx q[6], q[7];\nrz(0.18) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(0.18) q[7];\ncx q[0], q[7];\ncx q[0], q[8];\nrz(-0.24) q[8];\ncx q[0], q[8];\ncx q[8], q[1];\nrz(0.06) q[1];\ncx q[8], q[1];\ncx q[6], q[2];\nrz(0.12) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(0.09) q[2];\ncx q[7], q[2];\ncx q[2], q[4];\nrz(0.09) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(0.18) q[3];\ncx q[2], q[3];\ncx q[6], q[5];\nrz(0.15) q[5];\ncx q[6], q[5];\nrz(-0.42) q[6];\nrz(0.03) q[0];\nrz(0.27) q[7];\nrz(-0.18) q[8];\nrz(-0.06) q[1];\nrz(0.3) q[2];\nrz(0.09) q[4];\nrz(-0.18) q[3];\nrz(0.15) q[5];\nh q[0];\nrz(0.1206) q[0];\nh q[0];\nh q[1];\nrz(0.1206) q[1];\nh q[1];\nh q[2];\nrz(0.1206) q[2];\nh q[2];\nh q[3];\nrz(0.1206) q[3];\nh q[3];\nh q[4];\nrz(0.1206) q[4];\nh q[4];\nh q[5];\nrz(0.1206) q[5];\nh q[5];\nh q[6];\nrz(0.1206) q[6];\nh q[6];\nh q[7];\nrz(0.1206) q[7];\nh q[7];\nh q[8];\nrz(0.1206) q[8];\nh q[8];\ncx q[6], q[0];\nrz(0.0374) q[0];\ncx q[6], q[0];\ncx q[6], q[7];\nrz(0.2244) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(0.2244) q[7];\ncx q[0], q[7];\ncx q[0], q[8];\nrz(-0.2992) q[8];\ncx q[0], q[8];\ncx q[8], q[1];\nrz(0.0748) q[1];\ncx q[8], q[1];\ncx q[6], q[2];\nrz(0.1496) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(0.1122) q[2];\ncx q[7], q[2];\ncx q[2], q[4];\nrz(0.1122) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(0.2244) q[3];\ncx q[2], q[3];\ncx q[6], q[5];\nrz(0.187) q[5];\ncx q[6], q[5];\nrz(-0.5236) q[6];\nrz(0.0374) q[0];\nrz(0.3366) q[7];\nrz(-0.2244) q[8];\nrz(-0.0748) q[1];\nrz(0.374) q[2];\nrz(0.1122) q[4];\nrz(-0.2244) q[3];\nrz(0.187) q[5];\nh q[0];\nrz(0.1368) q[0];\nh q[0];\nh q[1];\nrz(0.1368) q[1];\nh q[1];\nh q[2];\nrz(0.1368) q[2];\nh q[2];\nh q[3];\nrz(0.1368) q[3];\nh q[3];\nh q[4];\nrz(0.1368) q[4];\nh q[4];\nh q[5];\nrz(0.1368) q[5];\nh q[5];\nh q[6];\nrz(0.1368) q[6];\nh q[6];\nh q[7];\nrz(0.1368) q[7];\nh q[7];\nh q[8];\nrz(0.1368) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[6], q[0];\nrz(x0) q[0];\ncx q[6], q[0];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[0], q[8];\nrz(x2) q[8];\ncx q[0], q[8];\ncx q[8], q[1];\nrz(x3) q[1];\ncx q[8], q[1];\ncx q[6], q[2];\nrz(x4) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x5) q[2];\ncx q[7], q[2];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[6], q[5];\nrz(x6) q[5];\ncx q[6], q[5];\nrz(x7) q[6];\nrz(x0) q[0];\nrz(x8) q[7];\nrz(x9) q[8];\nrz(x10) q[1];\nrz(x11) q[2];\nrz(x5) q[4];\nrz(x9) q[3];\nrz(x6) q[5];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\nh q[8];\nrz(x12) q[8];\nh q[8];\ncx q[6], q[0];\nrz(x13) q[0];\ncx q[6], q[0];\ncx q[6], q[7];\nrz(x14) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(x14) q[7];\ncx q[0], q[7];\ncx q[0], q[8];\nrz(x15) q[8];\ncx q[0], q[8];\ncx q[8], q[1];\nrz(x16) q[1];\ncx q[8], q[1];\ncx q[6], q[2];\nrz(x17) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x18) q[2];\ncx q[7], q[2];\ncx q[2], q[4];\nrz(x18) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(x14) q[3];\ncx q[2], q[3];\ncx q[6], q[5];\nrz(x19) q[5];\ncx q[6], q[5];\nrz(x20) q[6];\nrz(x13) q[0];\nrz(x21) q[7];\nrz(x22) q[8];\nrz(x23) q[1];\nrz(x24) q[2];\nrz(x18) q[4];\nrz(x22) q[3];\nrz(x19) q[5];\nh q[0];\nrz(x25) q[0];\nh q[0];\nh q[1];\nrz(x25) q[1];\nh q[1];\nh q[2];\nrz(x25) q[2];\nh q[2];\nh q[3];\nrz(x25) q[3];\nh q[3];\nh q[4];\nrz(x25) q[4];\nh q[4];\nh q[5];\nrz(x25) q[5];\nh q[5];\nh q[6];\nrz(x25) q[6];\nh q[6];\nh q[7];\nrz(x25) q[7];\nh q[7];\nh q[8];\nrz(x25) q[8];\nh q[8];\ncx q[6], q[0];\nrz(x26) q[0];\ncx q[6], q[0];\ncx q[6], q[7];\nrz(x27) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(x27) q[7];\ncx q[0], q[7];\ncx q[0], q[8];\nrz(x28) q[8];\ncx q[0], q[8];\ncx q[8], q[1];\nrz(x29) q[1];\ncx q[8], q[1];\ncx q[6], q[2];\nrz(x30) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x31) q[2];\ncx q[7], q[2];\ncx q[2], q[4];\nrz(x31) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(x27) q[3];\ncx q[2], q[3];\ncx q[6], q[5];\nrz(x32) q[5];\ncx q[6], q[5];\nrz(x33) q[6];\nrz(x26) q[0];\nrz(x34) q[7];\nrz(x35) q[8];\nrz(x36) q[1];\nrz(x37) q[2];\nrz(x31) q[4];\nrz(x35) q[3];\nrz(x32) q[5];\nh q[0];\nrz(x38) q[0];\nh q[0];\nh q[1];\nrz(x38) q[1];\nh q[1];\nh q[2];\nrz(x38) q[2];\nh q[2];\nh q[3];\nrz(x38) q[3];\nh q[3];\nh q[4];\nrz(x38) q[4];\nh q[4];\nh q[5];\nrz(x38) q[5];\nh q[5];\nh q[6];\nrz(x38) q[6];\nh q[6];\nh q[7];\nrz(x38) q[7];\nh q[7];\nh q[8];\nrz(x38) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["-3251107044025627850","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[2, 7], [0, 3], [4, 5], [0, 5], [1, 6], [1, 3], [4, 7], [2, 6], [0, 4], [0, 1], [5, 7], [3, 5], [5, 6], [1, 2], [0, 2], [2, 5]]}","{\"states\": [58, 197], \"expectation_value\": -0.13876414234129972, \"params\": [[-0.06430000000000001], [0.0693]], \"bitstrings\": [\"11000101\", \"00111010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00448075624811505, 0.00448075624811505], \"optimization_time\": 2.1411452293395996}","0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"00111010\", \"01101100\", \"11000101\", \"10010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[2];\nrz(-0.0643) q[2];\ncx q[7], q[2];\ncx q[2], q[0];\nrz(-0.0643) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.0643) q[3];\ncx q[0], q[3];\ncx q[7], q[4];\nrz(-0.0643) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(-0.0643) q[4];\ncx q[0], q[4];\ncx q[7], q[5];\nrz(-0.0643) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(-0.0643) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.0643) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(-0.0643) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0643) q[5];\ncx q[4], q[5];\ncx q[2], q[1];\nrz(-0.0643) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.0643) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.0643) q[1];\ncx q[3], q[1];\ncx q[2], q[6];\nrz(-0.0643) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0643) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(-0.0643) q[6];\ncx q[1], q[6];\nrz(0) q[7];\nrz(0) q[2];\nrz(0) q[0];\nrz(0) q[3];\nrz(0) q[4];\nrz(0) q[5];\nrz(0) q[1];\nrz(0) q[6];\nh q[0];\nrz(0.1386) q[0];\nh q[0];\nh q[1];\nrz(0.1386) q[1];\nh q[1];\nh q[2];\nrz(0.1386) q[2];\nh q[2];\nh q[3];\nrz(0.1386) q[3];\nh q[3];\nh q[4];\nrz(0.1386) q[4];\nh q[4];\nh q[5];\nrz(0.1386) q[5];\nh q[5];\nh q[6];\nrz(0.1386) q[6];\nh q[6];\nh q[7];\nrz(0.1386) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[2];\nrz(x0) q[2];\ncx q[7], q[2];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\nrz(x1) q[7];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[3];\nrz(x1) q[4];\nrz(x1) q[5];\nrz(x1) q[1];\nrz(x1) q[6];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["8825faac04a1dea74e1f50fbc9cc77c3","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 1}, {\"weight\": 14, \"source\": 1, \"target\": 2}, {\"weight\": 17, \"source\": 1, \"target\": 3}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 14, \"source\": 3, \"target\": 4}, {\"weight\": 8, \"source\": 4, \"target\": 5}, {\"weight\": 11, \"source\": 4, \"target\": 6}, {\"weight\": 20, \"source\": 5, \"target\": 6}]}","{\"states\": [109, 107], \"expectation_value\": -13.326091632483404, \"params\": [[0.0459, 0.0178], [-0.06810000000000001, -0.0529]], \"bitstrings\": [\"10010010\", \"10010100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012119009856297384, 0.012801252615153434], \"optimization_time\": 2.8946948051452637}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.5 * Z(0) + 16.5 * Z(2) + 4.5 * Z(3) + 15.0 * Z(4) + 8.0 * Z(5) + 9.5 * Z(6) + 10.0 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-63.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -60.0, \"smallest_bitstrings\": [\"10010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.3672) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.3672) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.3672) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.3672) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.3672) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(0.3672) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.3672) q[4];\ncx q[3], q[4];\ncx q[4], q[5];\nrz(0.3672) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(0.3672) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.3672) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(0.3672) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.3672) q[7];\ncx q[6], q[7];\nrz(1.0098) q[1];\nrz(0.2295) q[0];\nrz(1.5147) q[2];\nrz(0.4131) q[3];\nrz(1.377) q[4];\nrz(0.7344) q[5];\nrz(0.8721) q[6];\nrz(0.918) q[7];\nh q[0];\nrz(-0.1362) q[0];\nh q[0];\nh q[1];\nrz(-0.1362) q[1];\nh q[1];\nh q[2];\nrz(-0.1362) q[2];\nh q[2];\nh q[3];\nrz(-0.1362) q[3];\nh q[3];\nh q[4];\nrz(-0.1362) q[4];\nh q[4];\nh q[5];\nrz(-0.1362) q[5];\nh q[5];\nh q[6];\nrz(-0.1362) q[6];\nh q[6];\nh q[7];\nrz(-0.1362) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1424) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1424) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1424) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.1424) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.1424) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(0.1424) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.1424) q[4];\ncx q[3], q[4];\ncx q[4], q[5];\nrz(0.1424) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(0.1424) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.1424) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(0.1424) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.1424) q[7];\ncx q[6], q[7];\nrz(0.3916) q[1];\nrz(0.089) q[0];\nrz(0.5874) q[2];\nrz(0.1602) q[3];\nrz(0.534) q[4];\nrz(0.2848) q[5];\nrz(0.3382) q[6];\nrz(0.356) q[7];\nh q[0];\nrz(-0.1058) q[0];\nh q[0];\nh q[1];\nrz(-0.1058) q[1];\nh q[1];\nh q[2];\nrz(-0.1058) q[2];\nh q[2];\nh q[3];\nrz(-0.1058) q[3];\nh q[3];\nh q[4];\nrz(-0.1058) q[4];\nh q[4];\nh q[5];\nrz(-0.1058) q[5];\nh q[5];\nh q[6];\nrz(-0.1058) q[6];\nh q[6];\nh q[7];\nrz(-0.1058) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["c4c2061e54c0f796fac4a7b56b18aa02","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [193, 209], \"expectation_value\": -6.259711058753226, \"params\": [[[0.7010000000000001, -0.0038], [0.7044, -0.0009000000000000001], [0.003, 0.3905], [0.47340000000000004, -0.0017000000000000001], [0.0004, 0.3428], [0.0025, -0.371], [0.0009000000000000001, 0.37170000000000003], [0.47250000000000003, 0.0017000000000000001]], [[0.6974, -0.0038], [0.7000000000000001, -0.0009000000000000001], [0.0002, 0.3955], [0.4747, -0.0017000000000000001], [0.0007, 0.3428], [0.0028, -0.3698], [0.0032, 0.3669], [0.4768, 0.0017000000000000001]], [[0.7033, -0.0038], [0.6973, -0.0009000000000000001], [-0.0017000000000000001, 0.3649], [0.4762, -0.0017000000000000001], [0.0032, 0.3431], [0.0048000000000000004, -0.36510000000000004], [0.0023, 0.3594], [0.46900000000000003, 0.0017000000000000001]], [[0.6987, 0.0027], [0.7034, 0.0053], [0.0038, 0.01], [0.4685, 0.0014], [0.0051, 0.0021000000000000003], [0.0021000000000000003, 0.0086], [0.0025, 0.009600000000000001], [0.4753, 0.004]]], \"bitstrings\": [\"00111110\", \"00101110\"], \"total_optimization_steps\": 70, \"probabilities\": [0.21250356795150166, 0.4091877530429194], \"optimization_time\": 26.041093826293945}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -1.5 * Z(3) + -1.5 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-7.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"00101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.701) q[0];\nrz(-0.0038) q[0];\nrx(0.7044) q[1];\nrz(-0.0009) q[1];\nrx(0.003) q[2];\nrz(0.3905) q[2];\nrx(0.4734) q[3];\nrz(-0.0017) q[3];\nrx(0.0004) q[4];\nrz(0.3428) q[4];\nrx(0.0025) q[5];\nrz(-0.371) q[5];\nrx(0.0009) q[6];\nrz(0.3717) q[6];\nrx(0.4725) q[7];\nrz(0.0017) q[7];\nrx(0.6974) q[0];\nrz(-0.0038) q[0];\nrx(0.7) q[1];\nrz(-0.0009) q[1];\nrx(0.0002) q[2];\nrz(0.3955) q[2];\nrx(0.4747) q[3];\nrz(-0.0017) q[3];\nrx(0.0007) q[4];\nrz(0.3428) q[4];\nrx(0.0028) q[5];\nrz(-0.3698) q[5];\nrx(0.0032) q[6];\nrz(0.3669) q[6];\nrx(0.4768) q[7];\nrz(0.0017) q[7];\nrx(0.7033) q[0];\nrz(-0.0038) q[0];\nrx(0.6973) q[1];\nrz(-0.0009) q[1];\nrx(-0.0017) q[2];\nrz(0.3649) q[2];\nrx(0.4762) q[3];\nrz(-0.0017) q[3];\nrx(0.0032) q[4];\nrz(0.3431) q[4];\nrx(0.0048) q[5];\nrz(-0.3651) q[5];\nrx(0.0023) q[6];\nrz(0.3594) q[6];\nrx(0.469) q[7];\nrz(0.0017) q[7];\nrx(0.6987) q[0];\nrz(0.0027) q[0];\nrx(0.7034) q[1];\nrz(0.0053) q[1];\nrx(0.0038) q[2];\nrz(0.01) q[2];\nrx(0.4685) q[3];\nrz(0.0014) q[3];\nrx(0.0051) q[4];\nrz(0.0021) q[4];\nrx(0.0021) q[5];\nrz(0.0086) q[5];\nrx(0.0025) q[6];\nrz(0.0096) q[6];\nrx(0.4753) q[7];\nrz(0.004) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[0];\nrz(x1) q[0];\nrx(x17) q[1];\nrz(x3) q[1];\nrx(x18) q[2];\nrz(x19) q[2];\nrx(x20) q[3];\nrz(x7) q[3];\nrx(x21) q[4];\nrz(x9) q[4];\nrx(x22) q[5];\nrz(x23) q[5];\nrx(x24) q[6];\nrz(x25) q[6];\nrx(x26) q[7];\nrz(x15) q[7];\nrx(x27) q[0];\nrz(x1) q[0];\nrx(x28) q[1];\nrz(x3) q[1];\nrx(x7) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x7) q[3];\nrx(x24) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nrx(x36) q[7];\nrz(x15) q[7];\nrx(x37) q[0];\nrz(x38) q[0];\nrx(x39) q[1];\nrz(x40) q[1];\nrx(x41) q[2];\nrz(x42) q[2];\nrx(x43) q[3];\nrz(x44) q[3];\nrx(x45) q[4];\nrz(x46) q[4];\nrx(x46) q[5];\nrz(x47) q[5];\nrx(x10) q[6];\nrz(x48) q[6];\nrx(x49) q[7];\nrz(x50) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["e877d3b2f9804d2377a79bff7b887b67","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 3}, {\"weight\": 15, \"source\": 0, \"target\": 5}, {\"weight\": 17, \"source\": 0, \"target\": 4}, {\"weight\": 5, \"source\": 1, \"target\": 4}, {\"weight\": 11, \"source\": 1, \"target\": 6}, {\"weight\": 6, \"source\": 2, \"target\": 5}, {\"weight\": 17, \"source\": 2, \"target\": 3}, {\"weight\": 15, \"source\": 2, \"target\": 4}]}","{\"states\": [118, 110], \"expectation_value\": -25.38598502183975, \"params\": [[0.0286, 0.001, 0.0047], [-0.07830000000000001, -0.0692, -0.0734]], \"bitstrings\": [\"10001001\", \"10010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.015031391475650918, 0.018155540126990336], \"optimization_time\": 5.034329414367676}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.0 * Z(4) + 13.0 * Z(5) + 16.5 * Z(6) + 7.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-64.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -58.0, \"smallest_bitstrings\": [\"10010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.2574) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2574) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2574) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.2574) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(0.2574) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(0.2574) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(0.2574) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.2574) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.2574) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.2574) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.2574) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.2574) q[7];\ncx q[6], q[7];\nrz(1.001) q[1];\nrz(0.4862) q[0];\nrz(0.6864) q[2];\nrz(0.4004) q[3];\nrz(0.0572) q[4];\nrz(0.7436) q[5];\nrz(0.9438) q[6];\nrz(0.429) q[7];\nh q[0];\nrz(-0.1566) q[0];\nh q[0];\nh q[1];\nrz(-0.1566) q[1];\nh q[1];\nh q[2];\nrz(-0.1566) q[2];\nh q[2];\nh q[3];\nrz(-0.1566) q[3];\nh q[3];\nh q[4];\nrz(-0.1566) q[4];\nh q[4];\nh q[5];\nrz(-0.1566) q[5];\nh q[5];\nh q[6];\nrz(-0.1566) q[6];\nh q[6];\nh q[7];\nrz(-0.1566) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.009) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.009) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.009) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.009) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(0.009) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(0.009) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(0.009) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.009) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.009) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.009) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.009) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.009) q[7];\ncx q[6], q[7];\nrz(0.035) q[1];\nrz(0.017) q[0];\nrz(0.024) q[2];\nrz(0.014) q[3];\nrz(0.002) q[4];\nrz(0.026) q[5];\nrz(0.033) q[6];\nrz(0.015) q[7];\nh q[0];\nrz(-0.1384) q[0];\nh q[0];\nh q[1];\nrz(-0.1384) q[1];\nh q[1];\nh q[2];\nrz(-0.1384) q[2];\nh q[2];\nh q[3];\nrz(-0.1384) q[3];\nh q[3];\nh q[4];\nrz(-0.1384) q[4];\nh q[4];\nh q[5];\nrz(-0.1384) q[5];\nh q[5];\nh q[6];\nrz(-0.1384) q[6];\nh q[6];\nh q[7];\nrz(-0.1384) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0423) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0423) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0423) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0423) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(0.0423) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(0.0423) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(0.0423) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.0423) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0423) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.0423) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.0423) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0423) q[7];\ncx q[6], q[7];\nrz(0.1645) q[1];\nrz(0.0799) q[0];\nrz(0.1128) q[2];\nrz(0.0658) q[3];\nrz(0.0094) q[4];\nrz(0.1222) q[5];\nrz(0.1551) q[6];\nrz(0.0705) q[7];\nh q[0];\nrz(-0.1468) q[0];\nh q[0];\nh q[1];\nrz(-0.1468) q[1];\nh q[1];\nh q[2];\nrz(-0.1468) q[2];\nh q[2];\nh q[3];\nrz(-0.1468) q[3];\nh q[3];\nh q[4];\nrz(-0.1468) q[4];\nh q[4];\nh q[5];\nrz(-0.1468) q[5];\nh q[5];\nh q[6];\nrz(-0.1468) q[6];\nh q[6];\nh q[7];\nrz(-0.1468) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x10) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x10) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x20) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x20) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x20) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x20) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x20) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x20) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["f8316b35599f405111166e958a2a7784","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 7, \"source\": 0, \"target\": 5}, {\"capacity\": 7, \"source\": 2, \"target\": 1}, {\"capacity\": 7, \"source\": 2, \"target\": 3}, {\"capacity\": 6, \"source\": 3, \"target\": 1}, {\"capacity\": 6, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 8}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 11}, {\"capacity\": 4, \"source\": 7, \"target\": 3}, {\"capacity\": 4, \"source\": 7, \"target\": 9}, {\"capacity\": 5, \"source\": 8, \"target\": 1}, {\"capacity\": 6, \"source\": 8, \"target\": 3}, {\"capacity\": 1, \"source\": 8, \"target\": 5}, {\"capacity\": 1, \"source\": 8, \"target\": 7}, {\"capacity\": 4, \"source\": 8, \"target\": 9}, {\"capacity\": 5, \"source\": 9, \"target\": 3}, {\"capacity\": 5, \"source\": 9, \"target\": 4}, {\"capacity\": 3, \"source\": 9, \"target\": 5}, {\"capacity\": 2, \"source\": 10, \"target\": 2}, {\"capacity\": 3, \"source\": 10, \"target\": 3}, {\"capacity\": 7, \"source\": 10, \"target\": 5}, {\"capacity\": 3, \"source\": 10, \"target\": 6}]}","{\"states\": [0, 256], \"expectation_value\": -26.739879766408336, \"params\": [0.0026000000000000003, -0.19410000000000002, -0.0006000000000000001, 0.0023, 0.003, -0.1792, 0.0013000000000000002, 0.0081, -0.0019, 0.0936, 0.6101, 0.0005, 0.8119000000000001, 0.0466, 0.8071, 0.0081, 0.0026000000000000003, -0.529, 0.0024000000000000002, 0.008700000000000001, 0.0026000000000000003, -0.5759000000000001, 0.0026000000000000003, 0.0005, 0.0022, -0.5737, 0.0021000000000000003, 0.0028, 0.0026000000000000003, -0.5797, 0.0026000000000000003, 0.006500000000000001, 0.0025, -0.5468000000000001, 0.0023, 0.004200000000000001, 0.0021000000000000003, -0.5748, 0.002, 0.0058000000000000005, 0.0023, -0.5377000000000001, 0.0021000000000000003, 0.004, 0.0023, -0.4022, 0.0022, 0.0077, 0.0152, 0.0204, 0.014, 0.4223, 0.022000000000000002, -0.006500000000000001, 0.017400000000000002, -0.0021000000000000003, 0.0162, 0.015700000000000002, 0.0146, 0.013600000000000001], \"bitstrings\": [\"111111111111\", \"111011111111\"], \"total_optimization_steps\": 80, \"probabilities\": [0.43326062755051375, 0.477016428830415], \"optimization_time\": 84.06326031684875}","-1.0 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z(0)) + -1.75 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(7)) + -1.25 * (Z(10) @ Z(1)) + -1.5 * (Z(10) @ Z(5)) + -0.5 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(10)) + 3.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -1.25 * (Z(11) @ Z(6)) + -0.75 * (Z(11) @ Z(7)) + -1.25 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(10)) + -1.0 * (Z(11) @ Z(9)) + -1.75 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + 0.0 * Z(6) + -0.25 * Z(0) + -4.75 * Z(7) + -4.5 * Z(1) + 3.0 * Z(4) + -5.0 * Z(5) + 3.5 * Z(10) + 1.25 * Z(9) + 2.5 * Z(3) + 1.25 * Z(11) + 3.75 * Z(2) + -0.75 * Z(8)",5,12,1,"{\"smallest_eigenvalues\": [-31.5, -31.5, -31.5, -31.5, -31.5], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -29.5, \"smallest_bitstrings\": [\"111011111111\", \"110011111111\", \"110001111111\", \"110011110111\", \"110001110111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.0026) q[0];\nrz(-0.1941) q[0];\nrx(0.003) q[1];\nrz(-0.1792) q[1];\nrx(-0.0019) q[2];\nrz(0.0936) q[2];\nrx(0.8119) q[3];\nrz(0.0466) q[3];\nrx(0.0026) q[4];\nrz(-0.529) q[4];\nrx(0.0026) q[5];\nrz(-0.5759) q[5];\nrx(0.0022) q[6];\nrz(-0.5737) q[6];\nrx(0.0026) q[7];\nrz(-0.5797) q[7];\nrx(0.0025) q[8];\nrz(-0.5468) q[8];\nrx(0.0021) q[9];\nrz(-0.5748) q[9];\nrx(0.0023) q[10];\nrz(-0.5377) q[10];\nrx(0.0023) q[11];\nrz(-0.4022) q[11];\ncrz(0.0146) q[11], q[10];\ncrz(0.0157) q[11], q[9];\ncrz(0.0162) q[11], q[8];\ncrz(-0.0021) q[11], q[7];\ncrz(0.0174) q[11], q[6];\ncrz(-0.0065) q[11], q[5];\ncrz(0.022) q[11], q[4];\ncrz(0.4223) q[11], q[3];\ncrz(0.014) q[11], q[2];\ncrz(0.0204) q[11], q[1];\ncrz(0.0152) q[11], q[0];\ncrz(0.0136) q[10], q[11];\ncrz(0.0157) q[10], q[9];\ncrz(0.0162) q[10], q[8];\ncrz(-0.0021) q[10], q[7];\ncrz(0.0174) q[10], q[6];\ncrz(-0.0065) q[10], q[5];\ncrz(0.022) q[10], q[4];\ncrz(0.4223) q[10], q[3];\ncrz(0.014) q[10], q[2];\ncrz(0.0204) q[10], q[1];\ncrz(0.0152) q[10], q[0];\ncrz(0.0136) q[9], q[11];\ncrz(0.0146) q[9], q[10];\ncrz(0.0162) q[9], q[8];\ncrz(-0.0021) q[9], q[7];\ncrz(0.0174) q[9], q[6];\ncrz(-0.0065) q[9], q[5];\ncrz(0.022) q[9], q[4];\ncrz(0.4223) q[9], q[3];\ncrz(0.014) q[9], q[2];\ncrz(0.0204) q[9], q[1];\ncrz(0.0152) q[9], q[0];\ncrz(0.0136) q[8], q[11];\ncrz(0.0146) q[8], q[10];\ncrz(0.0157) q[8], q[9];\ncrz(-0.0021) q[8], q[7];\ncrz(0.0174) q[8], q[6];\ncrz(-0.0065) q[8], q[5];\ncrz(0.022) q[8], q[4];\ncrz(0.4223) q[8], q[3];\ncrz(0.014) q[8], q[2];\ncrz(0.0204) q[8], q[1];\ncrz(0.0152) q[8], q[0];\ncrz(0.0136) q[7], q[11];\ncrz(0.0146) q[7], q[10];\ncrz(0.0157) q[7], q[9];\ncrz(0.0162) q[7], q[8];\ncrz(0.0174) q[7], q[6];\ncrz(-0.0065) q[7], q[5];\ncrz(0.022) q[7], q[4];\ncrz(0.4223) q[7], q[3];\ncrz(0.014) q[7], q[2];\ncrz(0.0204) q[7], q[1];\ncrz(0.0152) q[7], q[0];\ncrz(0.0136) q[6], q[11];\ncrz(0.0146) q[6], q[10];\ncrz(0.0157) q[6], q[9];\ncrz(0.0162) q[6], q[8];\ncrz(-0.0021) q[6], q[7];\ncrz(-0.0065) q[6], q[5];\ncrz(0.022) q[6], q[4];\ncrz(0.4223) q[6], q[3];\ncrz(0.014) q[6], q[2];\ncrz(0.0204) q[6], q[1];\ncrz(0.0152) q[6], q[0];\ncrz(0.0136) q[5], q[11];\ncrz(0.0146) q[5], q[10];\ncrz(0.0157) q[5], q[9];\ncrz(0.0162) q[5], q[8];\ncrz(-0.0021) q[5], q[7];\ncrz(0.0174) q[5], q[6];\ncrz(0.022) q[5], q[4];\ncrz(0.4223) q[5], q[3];\ncrz(0.014) q[5], q[2];\ncrz(0.0204) q[5], q[1];\ncrz(0.0152) q[5], q[0];\ncrz(0.0136) q[4], q[11];\ncrz(0.0146) q[4], q[10];\ncrz(0.0157) q[4], q[9];\ncrz(0.0162) q[4], q[8];\ncrz(-0.0021) q[4], q[7];\ncrz(0.0174) q[4], q[6];\ncrz(-0.0065) q[4], q[5];\ncrz(0.4223) q[4], q[3];\ncrz(0.014) q[4], q[2];\ncrz(0.0204) q[4], q[1];\ncrz(0.0152) q[4], q[0];\ncrz(0.0136) q[3], q[11];\ncrz(0.0146) q[3], q[10];\ncrz(0.0157) q[3], q[9];\ncrz(0.0162) q[3], q[8];\ncrz(-0.0021) q[3], q[7];\ncrz(0.0174) q[3], q[6];\ncrz(-0.0065) q[3], q[5];\ncrz(0.022) q[3], q[4];\ncrz(0.014) q[3], q[2];\ncrz(0.0204) q[3], q[1];\ncrz(0.0152) q[3], q[0];\ncrz(0.0136) q[2], q[11];\ncrz(0.0146) q[2], q[10];\ncrz(0.0157) q[2], q[9];\ncrz(0.0162) q[2], q[8];\ncrz(-0.0021) q[2], q[7];\ncrz(0.0174) q[2], q[6];\ncrz(-0.0065) q[2], q[5];\ncrz(0.022) q[2], q[4];\ncrz(0.4223) q[2], q[3];\ncrz(0.0204) q[2], q[1];\ncrz(0.0152) q[2], q[0];\ncrz(0.0136) q[1], q[11];\ncrz(0.0146) q[1], q[10];\ncrz(0.0157) q[1], q[9];\ncrz(0.0162) q[1], q[8];\ncrz(-0.0021) q[1], q[7];\ncrz(0.0174) q[1], q[6];\ncrz(-0.0065) q[1], q[5];\ncrz(0.022) q[1], q[4];\ncrz(0.4223) q[1], q[3];\ncrz(0.014) q[1], q[2];\ncrz(0.0152) q[1], q[0];\ncrz(0.0136) q[0], q[11];\ncrz(0.0146) q[0], q[10];\ncrz(0.0157) q[0], q[9];\ncrz(0.0162) q[0], q[8];\ncrz(-0.0021) q[0], q[7];\ncrz(0.0174) q[0], q[6];\ncrz(-0.0065) q[0], q[5];\ncrz(0.022) q[0], q[4];\ncrz(0.4223) q[0], q[3];\ncrz(0.014) q[0], q[2];\ncrz(0.0204) q[0], q[1];\nrx(-0.0006) q[0];\nrz(0.0023) q[0];\nrx(0.0013) q[1];\nrz(0.0081) q[1];\nrx(0.6101) q[2];\nrz(0.0005) q[2];\nrx(0.8071) q[3];\nrz(0.0081) q[3];\nrx(0.0024) q[4];\nrz(0.0087) q[4];\nrx(0.0026) q[5];\nrz(0.0005) q[5];\nrx(0.0021) q[6];\nrz(0.0028) q[6];\nrx(0.0026) q[7];\nrz(0.0065) q[7];\nrx(0.0023) q[8];\nrz(0.0042) q[8];\nrx(0.002) q[9];\nrz(0.0058) q[9];\nrx(0.0021) q[10];\nrz(0.004) q[10];\nrx(0.0022) q[11];\nrz(0.0077) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x0) q[4];\nrz(x8) q[4];\nrx(x0) q[5];\nrz(x9) q[5];\nrx(x10) q[6];\nrz(x11) q[6];\nrx(x0) q[7];\nrz(x12) q[7];\nrx(x13) q[8];\nrz(x14) q[8];\nrx(x15) q[9];\nrz(x16) q[9];\nrx(x17) q[10];\nrz(x18) q[10];\nrx(x17) q[11];\nrz(x19) q[11];\ncrz(x20) q[11], q[10];\ncrz(x21) q[11], q[9];\ncrz(x22) q[11], q[8];\ncrz(x23) q[11], q[7];\ncrz(x24) q[11], q[6];\ncrz(x25) q[11], q[5];\ncrz(x26) q[11], q[4];\ncrz(x27) q[11], q[3];\ncrz(x28) q[11], q[2];\ncrz(x29) q[11], q[1];\ncrz(x30) q[11], q[0];\ncrz(x31) q[10], q[11];\ncrz(x21) q[10], q[9];\ncrz(x22) q[10], q[8];\ncrz(x23) q[10], q[7];\ncrz(x24) q[10], q[6];\ncrz(x25) q[10], q[5];\ncrz(x26) q[10], q[4];\ncrz(x27) q[10], q[3];\ncrz(x28) q[10], q[2];\ncrz(x29) q[10], q[1];\ncrz(x30) q[10], q[0];\ncrz(x31) q[9], q[11];\ncrz(x20) q[9], q[10];\ncrz(x22) q[9], q[8];\ncrz(x23) q[9], q[7];\ncrz(x24) q[9], q[6];\ncrz(x25) q[9], q[5];\ncrz(x26) q[9], q[4];\ncrz(x27) q[9], q[3];\ncrz(x28) q[9], q[2];\ncrz(x29) q[9], q[1];\ncrz(x30) q[9], q[0];\ncrz(x31) q[8], q[11];\ncrz(x20) q[8], q[10];\ncrz(x21) q[8], q[9];\ncrz(x23) q[8], q[7];\ncrz(x24) q[8], q[6];\ncrz(x25) q[8], q[5];\ncrz(x26) q[8], q[4];\ncrz(x27) q[8], q[3];\ncrz(x28) q[8], q[2];\ncrz(x29) q[8], q[1];\ncrz(x30) q[8], q[0];\ncrz(x31) q[7], q[11];\ncrz(x20) q[7], q[10];\ncrz(x21) q[7], q[9];\ncrz(x22) q[7], q[8];\ncrz(x24) q[7], q[6];\ncrz(x25) q[7], q[5];\ncrz(x26) q[7], q[4];\ncrz(x27) q[7], q[3];\ncrz(x28) q[7], q[2];\ncrz(x29) q[7], q[1];\ncrz(x30) q[7], q[0];\ncrz(x31) q[6], q[11];\ncrz(x20) q[6], q[10];\ncrz(x21) q[6], q[9];\ncrz(x22) q[6], q[8];\ncrz(x23) q[6], q[7];\ncrz(x25) q[6], q[5];\ncrz(x26) q[6], q[4];\ncrz(x27) q[6], q[3];\ncrz(x28) q[6], q[2];\ncrz(x29) q[6], q[1];\ncrz(x30) q[6], q[0];\ncrz(x31) q[5], q[11];\ncrz(x20) q[5], q[10];\ncrz(x21) q[5], q[9];\ncrz(x22) q[5], q[8];\ncrz(x23) q[5], q[7];\ncrz(x24) q[5], q[6];\ncrz(x26) q[5], q[4];\ncrz(x27) q[5], q[3];\ncrz(x28) q[5], q[2];\ncrz(x29) q[5], q[1];\ncrz(x30) q[5], q[0];\ncrz(x31) q[4], q[11];\ncrz(x20) q[4], q[10];\ncrz(x21) q[4], q[9];\ncrz(x22) q[4], q[8];\ncrz(x23) q[4], q[7];\ncrz(x24) q[4], q[6];\ncrz(x25) q[4], q[5];\ncrz(x27) q[4], q[3];\ncrz(x28) q[4], q[2];\ncrz(x29) q[4], q[1];\ncrz(x30) q[4], q[0];\ncrz(x31) q[3], q[11];\ncrz(x20) q[3], q[10];\ncrz(x21) q[3], q[9];\ncrz(x22) q[3], q[8];\ncrz(x23) q[3], q[7];\ncrz(x24) q[3], q[6];\ncrz(x25) q[3], q[5];\ncrz(x26) q[3], q[4];\ncrz(x28) q[3], q[2];\ncrz(x29) q[3], q[1];\ncrz(x30) q[3], q[0];\ncrz(x31) q[2], q[11];\ncrz(x20) q[2], q[10];\ncrz(x21) q[2], q[9];\ncrz(x22) q[2], q[8];\ncrz(x23) q[2], q[7];\ncrz(x24) q[2], q[6];\ncrz(x25) q[2], q[5];\ncrz(x26) q[2], q[4];\ncrz(x27) q[2], q[3];\ncrz(x29) q[2], q[1];\ncrz(x30) q[2], q[0];\ncrz(x31) q[1], q[11];\ncrz(x20) q[1], q[10];\ncrz(x21) q[1], q[9];\ncrz(x22) q[1], q[8];\ncrz(x23) q[1], q[7];\ncrz(x24) q[1], q[6];\ncrz(x25) q[1], q[5];\ncrz(x26) q[1], q[4];\ncrz(x27) q[1], q[3];\ncrz(x28) q[1], q[2];\ncrz(x30) q[1], q[0];\ncrz(x31) q[0], q[11];\ncrz(x20) q[0], q[10];\ncrz(x21) q[0], q[9];\ncrz(x22) q[0], q[8];\ncrz(x23) q[0], q[7];\ncrz(x24) q[0], q[6];\ncrz(x25) q[0], q[5];\ncrz(x26) q[0], q[4];\ncrz(x27) q[0], q[3];\ncrz(x28) q[0], q[2];\ncrz(x29) q[0], q[1];\nrx(x32) q[0];\nrz(x17) q[0];\nrx(x33) q[1];\nrz(x34) q[1];\nrx(x35) q[2];\nrz(x36) q[2];\nrx(x37) q[3];\nrz(x34) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x0) q[5];\nrz(x36) q[5];\nrx(x15) q[6];\nrz(x40) q[6];\nrx(x0) q[7];\nrz(x41) q[7];\nrx(x17) q[8];\nrz(x42) q[8];\nrx(x43) q[9];\nrz(x44) q[9];\nrx(x15) q[10];\nrz(x45) q[10];\nrx(x10) q[11];\nrz(x46) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["69144809aea48cb46eae9c3950f24a15","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}]}","{\"states\": [0, 2], \"expectation_value\": -0.1305387837387441, \"params\": [[0.057, 0.0531, -0.0297], [-0.054400000000000004, -0.0505, -0.0216]], \"bitstrings\": [\"111\", \"101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.1278920809857427, 0.14304145178260677], \"optimization_time\": 1.3090879917144775}","0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2)",1,3,3,"{\"smallest_eigenvalues\": [-2.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[2], q[1];\nrz(0.057) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.057) q[0];\ncx q[1], q[0];\nrz(-0.114) q[0];\nrz(-0.057) q[1];\nrz(-0.114) q[2];\nh q[0];\nrz(-0.1088) q[0];\nh q[0];\nh q[1];\nrz(-0.1088) q[1];\nh q[1];\nh q[2];\nrz(-0.1088) q[2];\nh q[2];\ncx q[2], q[1];\nrz(0.0531) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0531) q[0];\ncx q[1], q[0];\nrz(-0.1062) q[0];\nrz(-0.0531) q[1];\nrz(-0.1062) q[2];\nh q[0];\nrz(-0.101) q[0];\nh q[0];\nh q[1];\nrz(-0.101) q[1];\nh q[1];\nh q[2];\nrz(-0.101) q[2];\nh q[2];\ncx q[2], q[1];\nrz(-0.0297) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0297) q[0];\ncx q[1], q[0];\nrz(0.0594) q[0];\nrz(0.0297) q[1];\nrz(0.0594) q[2];\nh q[0];\nrz(-0.0432) q[0];\nh q[0];\nh q[1];\nrz(-0.0432) q[1];\nh q[1];\nh q[2];\nrz(-0.0432) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\nrz(x1) q[0];\nrz(x2) q[1];\nrz(x1) q[2];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\ncx q[2], q[1];\nrz(x4) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\nrz(x5) q[0];\nrz(x6) q[1];\nrz(x5) q[2];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\ncx q[2], q[1];\nrz(x8) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\nrz(x9) q[0];\nrz(x10) q[1];\nrz(x9) q[2];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];",null,"{\"circuits\": [], \"gradients\": []}"]
["849e8b7d0866f815fb0c906751b536ff","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 11}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 11}, {\"source\": 9, \"target\": 10}, {\"source\": 10, \"target\": 11}]}","{\"states\": [31, 1823], \"expectation_value\": -2.377961755840754, \"params\": [[0.0767], [-0.0811]], \"bitstrings\": [\"11111100000\", \"00011100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0011541304340140861, 0.0012330317753134863], \"optimization_time\": 3.3150432109832764}","-1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(6)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(10)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(10)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(10) + 0.5 * Z(8) + 0.5 * Z(9)",1,11,1,"{\"smallest_eigenvalues\": [-27.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -24.5, \"smallest_bitstrings\": [\"00011100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(-0.2301) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0767) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2301) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(-0.3068) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(-0.3068) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.3068) q[5];\ncx q[3], q[5];\ncx q[7], q[6];\nrz(-0.3068) q[6];\ncx q[7], q[6];\ncx q[7], q[10];\nrz(-0.3835) q[10];\ncx q[7], q[10];\ncx q[6], q[10];\nrz(-0.3068) q[10];\ncx q[6], q[10];\ncx q[7], q[8];\nrz(-0.3835) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(0.0767) q[8];\ncx q[6], q[8];\ncx q[10], q[8];\nrz(0.1534) q[8];\ncx q[10], q[8];\ncx q[7], q[9];\nrz(0.1534) q[9];\ncx q[7], q[9];\ncx q[6], q[9];\nrz(0.0767) q[9];\ncx q[6], q[9];\ncx q[10], q[9];\nrz(-0.3835) q[9];\ncx q[10], q[9];\ncx q[8], q[9];\nrz(-0.3068) q[9];\ncx q[8], q[9];\nrz(0.0767) q[1];\nrz(0.0767) q[0];\nrz(0.0767) q[2];\nrz(-0.2301) q[4];\nrz(-0.2301) q[3];\nrz(-0.2301) q[5];\nrz(0.0767) q[7];\nrz(0.0767) q[6];\nrz(0.0767) q[10];\nrz(0.0767) q[8];\nrz(0.0767) q[9];\nh q[0];\nrz(-0.1622) q[0];\nh q[0];\nh q[1];\nrz(-0.1622) q[1];\nh q[1];\nh q[2];\nrz(-0.1622) q[2];\nh q[2];\nh q[3];\nrz(-0.1622) q[3];\nh q[3];\nh q[4];\nrz(-0.1622) q[4];\nh q[4];\nh q[5];\nrz(-0.1622) q[5];\nh q[5];\nh q[6];\nrz(-0.1622) q[6];\nh q[6];\nh q[7];\nrz(-0.1622) q[7];\nh q[7];\nh q[8];\nrz(-0.1622) q[8];\nh q[8];\nh q[9];\nrz(-0.1622) q[9];\nh q[9];\nh q[10];\nrz(-0.1622) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[7], q[6];\nrz(x2) q[6];\ncx q[7], q[6];\ncx q[7], q[10];\nrz(x3) q[10];\ncx q[7], q[10];\ncx q[6], q[10];\nrz(x2) q[10];\ncx q[6], q[10];\ncx q[7], q[8];\nrz(x3) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x1) q[8];\ncx q[6], q[8];\ncx q[10], q[8];\nrz(x4) q[8];\ncx q[10], q[8];\ncx q[7], q[9];\nrz(x4) q[9];\ncx q[7], q[9];\ncx q[6], q[9];\nrz(x1) q[9];\ncx q[6], q[9];\ncx q[10], q[9];\nrz(x3) q[9];\ncx q[10], q[9];\ncx q[8], q[9];\nrz(x2) q[9];\ncx q[8], q[9];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x0) q[4];\nrz(x0) q[3];\nrz(x0) q[5];\nrz(x1) q[7];\nrz(x1) q[6];\nrz(x1) q[10];\nrz(x1) q[8];\nrz(x1) q[9];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["e082b8aa0e4d625595bb9c6f308e2454","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 5}, {\"weight\": 1, \"source\": 1, \"target\": 6}, {\"weight\": 16, \"source\": 1, \"target\": 8}, {\"weight\": 17, \"source\": 1, \"target\": 5}, {\"weight\": 5, \"source\": 2, \"target\": 7}, {\"weight\": 4, \"source\": 3, \"target\": 8}, {\"weight\": 11, \"source\": 3, \"target\": 6}, {\"weight\": 10, \"source\": 4, \"target\": 9}, {\"weight\": 18, \"source\": 4, \"target\": 10}, {\"weight\": 12, \"source\": 4, \"target\": 8}]}","{\"states\": [350, 342], \"expectation_value\": -66.64511822238163, \"params\": [0.0029000000000000002, 0.7883, 1.2968, 0.1975, 0.6768000000000001, 0.43520000000000003, 1.2948000000000002, 0.006900000000000001, -0.0026000000000000003, 0.8127000000000001, 1.2962, 0.3015, 0.7953, 0.43420000000000003, 1.2937, 0.050100000000000006, 1.2950000000000002, -0.19590000000000002, 0.732, -0.19740000000000002, 0.0026000000000000003, 0.0016, 1.3036, 0.005, 0.673, 0.0039000000000000003, 1.3010000000000002, 0.0058000000000000005, -0.0026000000000000003, 0.0099, 1.2985, 0.0094, 0.7893, 0.0056, 1.292, 0.001, 1.2990000000000002, 0.0073, 0.7245, 0.009600000000000001, 0.6501, 0.7792, 0.4038, 0.4218, 0.005, -0.7847000000000001, 0.5253, -0.3416, -0.016900000000000002, -0.36460000000000004, 0.0016, 0.0051, 0.0086, 0.0035, 0.0024000000000000002, 0.0073, 0.0098, 0.005, 0.0039000000000000003, 0.0039000000000000003], \"bitstrings\": [\"1010100001\", \"1010101001\"], \"total_optimization_steps\": 130, \"probabilities\": [0.11646382140519784, 0.1529774681608901], \"optimization_time\": 29.487401008605957}","6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(8) @ Z(9)) + 20.0 * Z(3) + 6.5 * Z(2) + 14.5 * Z(1) + -3.0 * Z(0) + 8.0 * Z(6) + 5.5 * Z(5) + 9.0 * Z(7) + 5.0 * Z(9) + 18.0 * Z(8) + -9.5 * Z(4)",18,10,2,"{\"smallest_eigenvalues\": [-96.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -88.0, \"smallest_bitstrings\": [\"1010101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.0029) q[0];\nrz(0.7883) q[0];\nrx(1.2968) q[1];\nrz(0.1975) q[1];\nrx(0.6768) q[2];\nrz(0.4352) q[2];\nrx(1.2948) q[3];\nrz(0.0069) q[3];\nrx(-0.0026) q[4];\nrz(0.8127) q[4];\nrx(1.2962) q[5];\nrz(0.3015) q[5];\nrx(0.7953) q[6];\nrz(0.4342) q[6];\nrx(1.2937) q[7];\nrz(0.0501) q[7];\nrx(1.295) q[8];\nrz(-0.1959) q[8];\nrx(0.732) q[9];\nrz(-0.1974) q[9];\ncrz(0.6501) q[9], q[0];\ncrz(-0.3646) q[8], q[9];\ncrz(-0.0169) q[7], q[8];\ncrz(-0.3416) q[6], q[7];\ncrz(0.5253) q[5], q[6];\ncrz(-0.7847) q[4], q[5];\ncrz(0.005) q[3], q[4];\ncrz(0.4218) q[2], q[3];\ncrz(0.4038) q[1], q[2];\ncrz(0.7792) q[0], q[1];\nrx(0.0026) q[0];\nrz(0.0016) q[0];\nrx(1.3036) q[1];\nrz(0.005) q[1];\nrx(0.673) q[2];\nrz(0.0039) q[2];\nrx(1.301) q[3];\nrz(0.0058) q[3];\nrx(-0.0026) q[4];\nrz(0.0099) q[4];\nrx(1.2985) q[5];\nrz(0.0094) q[5];\nrx(0.7893) q[6];\nrz(0.0056) q[6];\nrx(1.292) q[7];\nrz(0.001) q[7];\nrx(1.299) q[8];\nrz(0.0073) q[8];\nrx(0.7245) q[9];\nrz(0.0096) q[9];\ncrz(0.0016) q[9], q[0];\ncrz(0.0039) q[8], q[9];\ncrz(0.0039) q[7], q[8];\ncrz(0.005) q[6], q[7];\ncrz(0.0098) q[5], q[6];\ncrz(0.0073) q[4], q[5];\ncrz(0.0024) q[3], q[4];\ncrz(0.0035) q[2], q[3];\ncrz(0.0086) q[1], q[2];\ncrz(0.0051) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[9], q[0];\ncrz(x21) q[8], q[9];\ncrz(x22) q[7], q[8];\ncrz(x23) q[6], q[7];\ncrz(x24) q[5], q[6];\ncrz(x25) q[4], q[5];\ncrz(x26) q[3], q[4];\ncrz(x27) q[2], q[3];\ncrz(x28) q[1], q[2];\ncrz(x29) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x26) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x8) q[4];\nrz(x37) q[4];\nrx(x38) q[5];\nrz(x39) q[5];\nrx(x40) q[6];\nrz(x41) q[6];\nrx(x42) q[7];\nrz(x43) q[7];\nrx(x44) q[8];\nrz(x45) q[8];\nrx(x46) q[9];\nrz(x47) q[9];\ncrz(x31) q[9], q[0];\ncrz(x34) q[8], q[9];\ncrz(x34) q[7], q[8];\ncrz(x26) q[6], q[7];\ncrz(x48) q[5], q[6];\ncrz(x45) q[4], q[5];\ncrz(x49) q[3], q[4];\ncrz(x50) q[2], q[3];\ncrz(x51) q[1], q[2];\ncrz(x52) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4], \\\"right_nodes\\\": [5, 6, 7, 8, 9, 10]}\"}","{\"circuits\": [], \"gradients\": []}"]
["7e799239f8573f120a2c5e15cda2e88f","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}]}","{\"states\": [12, 8], \"expectation_value\": -0.4937463718181719, \"params\": [[0.061200000000000004, 0.0685, 0.0761, 0.0785], [-0.0339, -0.054900000000000004, -0.069, -0.0742]], \"bitstrings\": [\"0011\", \"0111\"], \"total_optimization_steps\": 10, \"probabilities\": [0.08966824704676192, 0.09948734704272262], \"optimization_time\": 3.308298349380493}","0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3)",1,4,4,"{\"smallest_eigenvalues\": [-2.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.75, \"smallest_bitstrings\": [\"0111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[2], q[1];\nrz(0.0306) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0306) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0306) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0306) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(0.0612) q[0];\ncx q[3], q[0];\nrz(-0.0918) q[1];\nrz(-0.0918) q[2];\nrz(-0.0306) q[0];\nrz(-0.1224) q[3];\nh q[0];\nrz(-0.0678) q[0];\nh q[0];\nh q[1];\nrz(-0.0678) q[1];\nh q[1];\nh q[2];\nrz(-0.0678) q[2];\nh q[2];\nh q[3];\nrz(-0.0678) q[3];\nh q[3];\ncx q[2], q[1];\nrz(0.0343) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0343) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0343) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0343) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(0.0685) q[0];\ncx q[3], q[0];\nrz(-0.1028) q[1];\nrz(-0.1028) q[2];\nrz(-0.0343) q[0];\nrz(-0.137) q[3];\nh q[0];\nrz(-0.1098) q[0];\nh q[0];\nh q[1];\nrz(-0.1098) q[1];\nh q[1];\nh q[2];\nrz(-0.1098) q[2];\nh q[2];\nh q[3];\nrz(-0.1098) q[3];\nh q[3];\ncx q[2], q[1];\nrz(0.0381) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0381) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0381) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0381) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(0.0761) q[0];\ncx q[3], q[0];\nrz(-0.1142) q[1];\nrz(-0.1142) q[2];\nrz(-0.0381) q[0];\nrz(-0.1522) q[3];\nh q[0];\nrz(-0.138) q[0];\nh q[0];\nh q[1];\nrz(-0.138) q[1];\nh q[1];\nh q[2];\nrz(-0.138) q[2];\nh q[2];\nh q[3];\nrz(-0.138) q[3];\nh q[3];\ncx q[2], q[1];\nrz(0.0393) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0393) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0393) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0393) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(0.0785) q[0];\ncx q[3], q[0];\nrz(-0.1177) q[1];\nrz(-0.1177) q[2];\nrz(-0.0393) q[0];\nrz(-0.157) q[3];\nh q[0];\nrz(-0.1484) q[0];\nh q[0];\nh q[1];\nrz(-0.1484) q[1];\nh q[1];\nh q[2];\nrz(-0.1484) q[2];\nh q[2];\nh q[3];\nrz(-0.1484) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\nrz(x3) q[1];\nrz(x3) q[2];\nrz(x1) q[0];\nrz(x4) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\ncx q[2], q[1];\nrz(x6) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x6) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x8) q[0];\ncx q[3], q[0];\nrz(x9) q[1];\nrz(x9) q[2];\nrz(x7) q[0];\nrz(x10) q[3];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\ncx q[2], q[1];\nrz(x12) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x12) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x13) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x14) q[0];\ncx q[3], q[0];\nrz(x15) q[1];\nrz(x15) q[2];\nrz(x13) q[0];\nrz(x16) q[3];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\ncx q[2], q[1];\nrz(x18) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x18) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x19) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x20) q[0];\ncx q[3], q[0];\nrz(x21) q[1];\nrz(x21) q[2];\nrz(x19) q[0];\nrz(x22) q[3];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];",null,"{\"circuits\": [], \"gradients\": []}"]
["f143dac0e88a27841fea76d818fec3d0","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}, {\"id\": 13}, {\"id\": 14}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 10, \"target\": 11}, {\"source\": 12, \"target\": 13}, {\"source\": 12, \"target\": 14}, {\"source\": 13, \"target\": 14}]}","{\"states\": [16383, 16351], \"expectation_value\": -0.5440847507920059, \"params\": [[-0.0524], [0.0601]], \"bitstrings\": [\"00000000000000\", \"00000000100000\"], \"total_optimization_steps\": 10, \"probabilities\": [9.008786773800773e-05, 9.122657300811116e-05], \"optimization_time\": 56.42236137390137}","-1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(13) @ Z(12)) + -1.5 * (Z(13) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(12) + 0.5 * Z(11) + 0.5 * Z(13) + -0.5 * Z(8)",14,14,1,"{\"smallest_eigenvalues\": [-20.499999999999957], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.499999999999808, \"smallest_bitstrings\": [\"00000000100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncx q[2], q[0];\nrz(0.1572) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.1572) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.0524) q[1];\ncx q[0], q[1];\ncx q[4], q[3];\nrz(0.1572) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(0.1572) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.1572) q[5];\ncx q[3], q[5];\ncx q[7], q[6];\nrz(0.1048) q[6];\ncx q[7], q[6];\ncx q[10], q[9];\nrz(0.1048) q[9];\ncx q[10], q[9];\ncx q[12], q[11];\nrz(0.1572) q[11];\ncx q[12], q[11];\ncx q[12], q[13];\nrz(0.1572) q[13];\ncx q[12], q[13];\ncx q[11], q[13];\nrz(0.1572) q[13];\ncx q[11], q[13];\nrz(-0.0524) q[2];\nrz(-0.0524) q[0];\nrz(-0.0524) q[1];\nrz(-0.0524) q[4];\nrz(-0.0524) q[3];\nrz(-0.0524) q[5];\nrz(-0.0524) q[7];\nrz(-0.0524) q[6];\nrz(-0.0524) q[10];\nrz(-0.0524) q[9];\nrz(-0.0524) q[12];\nrz(-0.0524) q[11];\nrz(-0.0524) q[13];\nrz(0.0524) q[8];\nh q[0];\nrz(0.1202) q[0];\nh q[0];\nh q[1];\nrz(0.1202) q[1];\nh q[1];\nh q[2];\nrz(0.1202) q[2];\nh q[2];\nh q[3];\nrz(0.1202) q[3];\nh q[3];\nh q[4];\nrz(0.1202) q[4];\nh q[4];\nh q[5];\nrz(0.1202) q[5];\nh q[5];\nh q[6];\nrz(0.1202) q[6];\nh q[6];\nh q[7];\nrz(0.1202) q[7];\nh q[7];\nh q[8];\nrz(0.1202) q[8];\nh q[8];\nh q[9];\nrz(0.1202) q[9];\nh q[9];\nh q[10];\nrz(0.1202) q[10];\nh q[10];\nh q[11];\nrz(0.1202) q[11];\nh q[11];\nh q[12];\nrz(0.1202) q[12];\nh q[12];\nh q[13];\nrz(0.1202) q[13];\nh q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[7], q[6];\nrz(x2) q[6];\ncx q[7], q[6];\ncx q[10], q[9];\nrz(x2) q[9];\ncx q[10], q[9];\ncx q[12], q[11];\nrz(x0) q[11];\ncx q[12], q[11];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[11], q[13];\nrz(x0) q[13];\ncx q[11], q[13];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[1];\nrz(x1) q[4];\nrz(x1) q[3];\nrz(x1) q[5];\nrz(x1) q[7];\nrz(x1) q[6];\nrz(x1) q[10];\nrz(x1) q[9];\nrz(x1) q[12];\nrz(x1) q[11];\nrz(x1) q[13];\nrz(x3) q[8];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nh q[8];\nrz(x4) q[8];\nh q[8];\nh q[9];\nrz(x4) q[9];\nh q[9];\nh q[10];\nrz(x4) q[10];\nh q[10];\nh q[11];\nrz(x4) q[11];\nh q[11];\nh q[12];\nrz(x4) q[12];\nh q[12];\nh q[13];\nrz(x4) q[13];\nh q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","{\"node\": 8}","{\"circuits\": [], \"gradients\": []}"]
["cde6b48ed870286595c1455af7aff8bd","graph_coloring","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 2}, {\"id\": 1}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 2, \"target\": 1}, {\"source\": 2, \"target\": 3}]}","{\"states\": [2909, 2910], \"expectation_value\": -6.249735496837667, \"params\": null, \"bitstrings\": [\"010010100010\", \"010010100001\"], \"total_optimization_steps\": 100, \"probabilities\": [0.05709175034322553, 0.8163099224805773], \"optimization_time\": 261.5499801635742}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.75 * Z(1) + 0.75 * Z(0) + 0.75 * Z(2) + 1.25 * Z(6) + 1.25 * Z(7) + 1.25 * Z(8) + 0.75 * Z(3) + 0.75 * Z(4) + 0.75 * Z(5) + 0.75 * Z(9) + 0.75 * Z(10) + 0.75 * Z(11)",1,12,3,"{\"smallest_eigenvalues\": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], \"number_of_smallest_eigenvalues\": 24, \"first_excited_energy\": -5.25, \"smallest_bitstrings\": [\"100100010100\", \"100100010001\", \"010001100010\", \"010001100001\", \"010010100010\", \"010010100001\", \"010010001100\", \"010010001010\", \"100100001100\", \"100100001010\", \"001100010100\", \"001100010001\", \"010100001100\", \"010100001010\", \"001010100010\", \"001010100001\", \"100010001100\", \"100010001010\", \"001001100010\", \"001001100001\", \"100001010100\", \"100001010001\", \"001001010100\", \"001001010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[8];\nry(1.5486) q[7];\nry(1.5486) q[9];\nry(1.5486) q[3];\nry(1.5486) q[0];\ncry(-1.4447) q[7], q[6];\ncry(-1.0341) q[10], q[11];\ncry(-1.034) q[5], q[4];\ncry(-1.034) q[2], q[1];\nry(0.7006) q[10];\nry(0.7005) q[5];\ncry(0.7005) q[8], q[2];\ncry(-0.4553) q[9], q[11];\ncry(0.4968) q[0], q[10];\ncry(-0.3793) q[8], q[11];\ncry(-0.4552) q[3], q[4];\ncry(0.4968) q[8], q[5];\ncry(-0.3794) q[7], q[4];\ncry(-0.4551) q[7], q[1];\nry(0.4968) q[2];\ncry(-0.3795) q[8], q[1];\ncry(0.248) q[7], q[2];\ncry(0.2479) q[7], q[5];\ncry(0.2478) q[3], q[10];\ncry(-0.1478) q[9], q[1];\ncry(-0.1478) q[9], q[4];\ncry(-0.1477) q[7], q[11];\ncry(-0.1189) q[9], q[6];\ncry(0.0851) q[0], q[2];\ncry(0.0851) q[0], q[5];\ncry(0.0851) q[7], q[10];\ncry(-0.0485) q[8], q[4];\ncry(-0.0485) q[0], q[11];\ncry(-0.0485) q[3], q[1];\ncry(0.0216) q[3], q[0];\ncry(0.0214) q[0], q[9];\ncry(0.0214) q[0], q[3];\ncry(0.016) q[0], q[7];\ncry(0.0275) q[3], q[5];\ncry(0.0275) q[3], q[2];\ncry(0.0275) q[8], q[10];\ncry(-0.0157) q[0], q[4];\ncry(-0.0156) q[3], q[11];\ncry(-0.0156) q[0], q[1];\ncry(-0.0069) q[8], q[6];\ncry(0.0002) q[9], q[8];\ncry(0.0001) q[8], q[9];\ncry(0.0001) q[9], q[3];\ncry(-0.0001) q[2], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"number_of_colors\": 3}",{"$cut":{"chars":132639,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5706) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5706) q[8];\\nry(1.5486) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5706) q[8];\\nry(1.5486) q[7];\\nry(1.5486) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5706) q[8];\\nry(1.5486) q[7];\\nry(1.5486) q[9];\\nry(1.5486) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5706) q[8];\\nry(1.5486) q[7];\\nry(1.5486) q[9];\\nry(1.5486) q[3];\\nry(1.5486) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5706) q[8];\\nry(1.5486) q[7];\\nry(1.5486) q[9];\\nry(1.5486) q[3];\\nry(1.5486) q[0];\\ncry(-1.4447) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5706) q[8];\\nry(1.5486) q[7];\\nry(1.5486) q[9];\\nry(1.5486) q[3];\\nry(1.5486) q[0];\\ncry(-1.4447) q[7], q[6];\\ncry(-1.0341) q[10], q[11];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5706) q[8];\\nry(1.5486) q[7];\\nry(1.5486) q[9];\\nry(1.5486) q[3];\\nry(1.5486) q[0];\\ncry(-1.4447) q[7], q[6];\\ncry(-1.0341) q[10], q[11];\\ncry(-1.034) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = mea"}}]
["9d0fda9991561362ccfc12e66c38b9f5","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [77, 93], \"expectation_value\": -0.8781737534271982, \"params\": [0.0022, 0.0041, 1.6013000000000002, 0.0013000000000000002, 0.9899, 0.0073, 1.5978, 0.0077, 1.5995000000000001, 0.0008, 1.5996000000000001, 0.0067, 1.0158, 0.004200000000000001, 1.6065, 0.0086, 0.0073, 0.0027, 0.0013000000000000002, 0.0006000000000000001, 0.003, 0.0026000000000000003, 0.0046, 0.0068000000000000005], \"bitstrings\": [\"10110010\", \"10100010\"], \"total_optimization_steps\": 160, \"probabilities\": [0.020306235476985124, 0.021431398193723594], \"optimization_time\": 5.8169379234313965}","0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(4)) + -0.0625 * (Z(3) @ Z(0) @ Z(5)) + -0.0625 * (Z(0) @ Z(5) @ Z(4)) + -0.0625 * (Z(3) @ Z(4) @ Z(1)) + -0.0625 * (Z(3) @ Z(1) @ Z(5)) + -0.0625 * (Z(4) @ Z(1) @ Z(5)) + -0.0625 * (Z(3) @ Z(4) @ Z(5)) + 0.0625 * (Z(3) @ Z(0) @ Z(1) @ Z(4)) + 0.0625 * (Z(3) @ Z(0) @ Z(1) @ Z(5)) + 0.0625 * (Z(0) @ Z(1) @ Z(5) @ Z(4)) + 0.0625 * (Z(3) @ Z(0) @ Z(5) @ Z(4)) + 0.0625 * (Z(3) @ Z(4) @ Z(1) @ Z(5)) + -0.0625 * (Z(4) @ Z(1) @ Z(3) @ Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(7) @ Z(2)) + -0.5625 * Z(0) + -0.0625 * Z(1) + -0.25 * Z(2) + 0.1875 * Z(3) + -0.0625 * Z(4) + 0.1875 * Z(5) + -0.25 * Z(6) + 0.0 * Z(7)",18,8,1,"{\"smallest_eigenvalues\": [-3.5625], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5625, \"smallest_bitstrings\": [\"10100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0022) q[0];\nrz(0.0041) q[0];\nrx(1.6013) q[1];\nrz(0.0013) q[1];\nrx(0.9899) q[2];\nrz(0.0073) q[2];\nrx(1.5978) q[3];\nrz(0.0077) q[3];\nrx(1.5995) q[4];\nrz(0.0008) q[4];\nrx(1.5996) q[5];\nrz(0.0067) q[5];\nrx(1.0158) q[6];\nrz(0.0042) q[6];\nrx(1.6065) q[7];\nrz(0.0086) q[7];\ncrz(0.0073) q[7], q[0];\ncrz(0.0068) q[6], q[7];\ncrz(0.0046) q[5], q[6];\ncrz(0.0026) q[4], q[5];\ncrz(0.003) q[3], q[4];\ncrz(0.0006) q[2], q[3];\ncrz(0.0013) q[1], q[2];\ncrz(0.0027) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x5) q[7], q[0];\ncrz(x16) q[6], q[7];\ncrz(x17) q[5], q[6];\ncrz(x18) q[4], q[5];\ncrz(x19) q[3], q[4];\ncrz(x20) q[2], q[3];\ncrz(x3) q[1], q[2];\ncrz(x21) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["f3e32e1adc0b0d4686bd84de2a96f4ab","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [83, 85], \"expectation_value\": -3.10107276640553, \"params\": [-0.013800000000000002, 0.2039, 0.40650000000000003, 0.0869, 0.3955, 0.1356, 0.3931, 0.1952, 0.061700000000000005, 0.1996, 0.39780000000000004, 0.22240000000000001, 0.39540000000000003, 0.21300000000000002, 0.40800000000000003, -0.006, -0.0092, 0.20620000000000002, 0.40030000000000004, 0.1018, 0.39440000000000003, 0.1512, 0.3912, 0.2099, 0.0534, 0.20170000000000002, 0.39580000000000004, 0.22710000000000002, 0.39790000000000003, 0.22080000000000002, 0.406, 0.008400000000000001, -0.0182, 0.2109, 0.40800000000000003, 0.1105, 0.3914, 0.1673, 0.3911, 0.21960000000000002, 0.061200000000000004, 0.2093, 0.3982, 0.2386, 0.392, 0.22890000000000002, 0.4083, 0.0189, -0.0102, 0.008400000000000001, 0.40390000000000004, 0.009600000000000001, 0.39890000000000003, 0.0044, 0.39390000000000003, 0.0021000000000000003, 0.0572, 0.0063, 0.39630000000000004, 0.0074, 0.39840000000000003, 0.0045000000000000005, 0.4066, 0.0045000000000000005, 0.16190000000000002, -0.10110000000000001, 0.2187, -0.19590000000000002, 0.1139, 0.22030000000000002, -0.004200000000000001, 0.1887, -0.0845, 0.218, -0.1988, 0.18560000000000001, 0.23420000000000002, 0.034300000000000004, 0.2154, -0.0268, 0.23220000000000002, -0.19890000000000002, 0.2223, 0.2462, 0.108, 0.0017000000000000001, 0.0054, 0.004200000000000001, 0.009000000000000001, 0.0044, 0.009300000000000001, 0.0006000000000000001], \"bitstrings\": [\"10101100\", \"10101010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.01990085678698167, 0.020048304621911216], \"optimization_time\": 8.330693244934082}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(7) + -1.0 * Z(4) + -0.5 * Z(6)",3,8,4,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"10101100\", \"10011010\", \"10011100\", \"10101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-0.0138) q[0];\nrz(0.2039) q[0];\nrx(0.4065) q[1];\nrz(0.0869) q[1];\nrx(0.3955) q[2];\nrz(0.1356) q[2];\nrx(0.3931) q[3];\nrz(0.1952) q[3];\nrx(0.0617) q[4];\nrz(0.1996) q[4];\nrx(0.3978) q[5];\nrz(0.2224) q[5];\nrx(0.3954) q[6];\nrz(0.213) q[6];\nrx(0.408) q[7];\nrz(-0.006) q[7];\ncrz(-0.0042) q[7], q[6];\ncrz(0.2203) q[6], q[5];\ncrz(0.1139) q[5], q[4];\ncrz(-0.1959) q[4], q[3];\ncrz(0.2187) q[3], q[2];\ncrz(-0.1011) q[2], q[1];\ncrz(0.1619) q[1], q[0];\nrx(-0.0092) q[0];\nrz(0.2062) q[0];\nrx(0.4003) q[1];\nrz(0.1018) q[1];\nrx(0.3944) q[2];\nrz(0.1512) q[2];\nrx(0.3912) q[3];\nrz(0.2099) q[3];\nrx(0.0534) q[4];\nrz(0.2017) q[4];\nrx(0.3958) q[5];\nrz(0.2271) q[5];\nrx(0.3979) q[6];\nrz(0.2208) q[6];\nrx(0.406) q[7];\nrz(0.0084) q[7];\ncrz(0.0343) q[7], q[6];\ncrz(0.2342) q[6], q[5];\ncrz(0.1856) q[5], q[4];\ncrz(-0.1988) q[4], q[3];\ncrz(0.218) q[3], q[2];\ncrz(-0.0845) q[2], q[1];\ncrz(0.1887) q[1], q[0];\nrx(-0.0182) q[0];\nrz(0.2109) q[0];\nrx(0.408) q[1];\nrz(0.1105) q[1];\nrx(0.3914) q[2];\nrz(0.1673) q[2];\nrx(0.3911) q[3];\nrz(0.2196) q[3];\nrx(0.0612) q[4];\nrz(0.2093) q[4];\nrx(0.3982) q[5];\nrz(0.2386) q[5];\nrx(0.392) q[6];\nrz(0.2289) q[6];\nrx(0.4083) q[7];\nrz(0.0189) q[7];\ncrz(0.108) q[7], q[6];\ncrz(0.2462) q[6], q[5];\ncrz(0.2223) q[5], q[4];\ncrz(-0.1989) q[4], q[3];\ncrz(0.2322) q[3], q[2];\ncrz(-0.0268) q[2], q[1];\ncrz(0.2154) q[1], q[0];\nrx(-0.0102) q[0];\nrz(0.0084) q[0];\nrx(0.4039) q[1];\nrz(0.0096) q[1];\nrx(0.3989) q[2];\nrz(0.0044) q[2];\nrx(0.3939) q[3];\nrz(0.0021) q[3];\nrx(0.0572) q[4];\nrz(0.0063) q[4];\nrx(0.3963) q[5];\nrz(0.0074) q[5];\nrx(0.3984) q[6];\nrz(0.0045) q[6];\nrx(0.4066) q[7];\nrz(0.0045) q[7];\ncrz(0.0006) q[7], q[6];\ncrz(0.0093) q[6], q[5];\ncrz(0.0044) q[5], q[4];\ncrz(0.009) q[4], q[3];\ncrz(0.0042) q[3], q[2];\ncrz(0.0054) q[2], q[1];\ncrz(0.0017) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[6], q[5];\ncrz(x18) q[5], q[4];\ncrz(x19) q[4], q[3];\ncrz(x20) q[3], q[2];\ncrz(x21) q[2], q[1];\ncrz(x22) q[1], q[0];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\ncrz(x39) q[7], q[6];\ncrz(x40) q[6], q[5];\ncrz(x41) q[5], q[4];\ncrz(x42) q[4], q[3];\ncrz(x43) q[3], q[2];\ncrz(x44) q[2], q[1];\ncrz(x45) q[1], q[0];\nrx(x46) q[0];\nrz(x47) q[0];\nrx(x14) q[1];\nrz(x48) q[1];\nrx(x49) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x59) q[7];\nrz(x60) q[7];\ncrz(x61) q[7], q[6];\ncrz(x62) q[6], q[5];\ncrz(x63) q[5], q[4];\ncrz(x64) q[4], q[3];\ncrz(x65) q[3], q[2];\ncrz(x66) q[2], q[1];\ncrz(x67) q[1], q[0];\nrx(x68) q[0];\nrz(x38) q[0];\nrx(x69) q[1];\nrz(x70) q[1];\nrx(x71) q[2];\nrz(x72) q[2];\nrx(x73) q[3];\nrz(x74) q[3];\nrx(x75) q[4];\nrz(x76) q[4];\nrx(x77) q[5];\nrz(x78) q[5];\nrx(x79) q[6];\nrz(x80) q[6];\nrx(x81) q[7];\nrz(x80) q[7];\ncrz(x82) q[7], q[6];\ncrz(x83) q[6], q[5];\ncrz(x72) q[5], q[4];\ncrz(x84) q[4], q[3];\ncrz(x85) q[3], q[2];\ncrz(x86) q[2], q[1];\ncrz(x87) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["-4882474094302731455","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 4, 5, 6], [0, 1, 2, 3, 5], [0, 1, 3, 4, 6, 7], [2, 3, 4, 5], [0, 4, 5, 6, 7], [2, 5, 6, 7], [0, 2, 3, 4], [1, 2, 3, 4], [1, 2, 5, 6]]}","{\"states\": [235, 237], \"expectation_value\": -1.2905492865638446, \"params\": [[-0.36960000000000004], [0.3738]], \"bitstrings\": [\"00010100\", \"00010010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.01093727792356641, 0.01157874531521927], \"optimization_time\": 4.05966591835022}","0.2 * (Z(1) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(1)) + 0.16666666666666669 * (Z(6) @ Z(4)) + 0.2 * (Z(6) @ Z(1)) + 0.3 * (Z(6) @ Z(5)) + 0.16666666666666669 * (Z(0) @ Z(4)) + 0.08333333333333334 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(5)) + 0.08333333333333334 * (Z(0) @ Z(6)) + 0.25 * (Z(2) @ Z(4)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.3 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.2833333333333333 * (Z(3) @ Z(4)) + 0.16666666666666669 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(5)) + 0.03333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666669 * (Z(3) @ Z(0)) + 0.3 * (Z(3) @ Z(2)) + 0.08333333333333334 * (Z(7) @ Z(4)) + 0.03333333333333333 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.16666666666666669 * (Z(7) @ Z(6)) + 0.08333333333333334 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.03333333333333333 * (Z(7) @ Z(3)) + 0.6833333333333331 * Z(4) + 0.5583333333333336 * Z(1) + 0.7 * Z(5) + 0.5583333333333333 * Z(6) + 0.40833333333333344 * Z(0) + 0.725 * Z(2) + 0.5583333333333336 * Z(3) + 0.30833333333333335 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-2.0999999999999996], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.9833333333333332, \"smallest_bitstrings\": [\"00010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[1];\nrz(-0.1478) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(-0.1602) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.1602) q[5];\ncx q[1], q[5];\ncx q[4], q[6];\nrz(-0.1232) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(-0.1478) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.2218) q[6];\ncx q[5], q[6];\ncx q[4], q[0];\nrz(-0.1232) q[0];\ncx q[4], q[0];\ncx q[1], q[0];\nrz(-0.0616) q[0];\ncx q[1], q[0];\ncx q[5], q[0];\nrz(-0.0739) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(-0.0616) q[0];\ncx q[6], q[0];\ncx q[4], q[2];\nrz(-0.1848) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.1602) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(-0.2218) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(-0.1232) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(-0.0986) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(-0.2094) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(-0.1232) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(-0.0986) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(-0.0246) q[3];\ncx q[6], q[3];\ncx q[0], q[3];\nrz(-0.1232) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2218) q[3];\ncx q[2], q[3];\ncx q[4], q[7];\nrz(-0.0616) q[7];\ncx q[4], q[7];\ncx q[1], q[7];\nrz(-0.0246) q[7];\ncx q[1], q[7];\ncx q[5], q[7];\nrz(-0.0986) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.1232) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(-0.0616) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.0616) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.0246) q[7];\ncx q[3], q[7];\nrz(-0.5051) q[4];\nrz(-0.4127) q[1];\nrz(-0.5174) q[5];\nrz(-0.4127) q[6];\nrz(-0.3018) q[0];\nrz(-0.5359) q[2];\nrz(-0.4127) q[3];\nrz(-0.2279) q[7];\nh q[0];\nrz(0.7476) q[0];\nh q[0];\nh q[1];\nrz(0.7476) q[1];\nh q[1];\nh q[2];\nrz(0.7476) q[2];\nh q[2];\nh q[3];\nrz(0.7476) q[3];\nh q[3];\nh q[4];\nrz(0.7476) q[4];\nh q[4];\nh q[5];\nrz(0.7476) q[5];\nh q[5];\nh q[6];\nrz(0.7476) q[6];\nh q[6];\nh q[7];\nrz(0.7476) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[4], q[0];\nrz(x2) q[0];\ncx q[4], q[0];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[5], q[0];\nrz(x5) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x4) q[0];\ncx q[6], q[0];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x3) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(x2) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(x7) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(x8) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(x7) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x9) q[3];\ncx q[6], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x3) q[3];\ncx q[2], q[3];\ncx q[4], q[7];\nrz(x4) q[7];\ncx q[4], q[7];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[5], q[7];\nrz(x7) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x2) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x4) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x9) q[7];\ncx q[3], q[7];\nrz(x10) q[4];\nrz(x11) q[1];\nrz(x12) q[5];\nrz(x11) q[6];\nrz(x13) q[0];\nrz(x14) q[2];\nrz(x11) q[3];\nrz(x15) q[7];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nh q[6];\nrz(x16) q[6];\nh q[6];\nh q[7];\nrz(x16) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["02575a12c565dc28617818fe7f0b4a99","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 19, \"source\": 0, \"target\": 6}, {\"weight\": 11, \"source\": 0, \"target\": 4}, {\"weight\": 11, \"source\": 1, \"target\": 3}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 3, \"target\": 5}, {\"weight\": 17, \"source\": 3, \"target\": 6}, {\"weight\": 8, \"source\": 4, \"target\": 5}]}","{\"states\": [123, 118], \"expectation_value\": -37.43620304047168, \"params\": null, \"bitstrings\": [\"10000100\", \"10001001\"], \"total_optimization_steps\": 100, \"probabilities\": [0.14850359474344763, 0.18487269087280014], \"optimization_time\": 152.24977254867554}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z(2) + 13.5 * Z(3) + 9.0 * Z(4) + 14.0 * Z(5) + 16.5 * Z(6) + 4.0 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-58.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -52.5, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(38.6317) q[6];\nry(-6.1156) q[5];\nry(2.6234) q[2];\nry(0.6747) q[3];\nry(0.3884) q[1];\ncry(0.208) q[6], q[5];\ncry(-0.004) q[6], q[1];\ncry(0.2368) q[6], q[2];\ncry(-0.1517) q[3], q[2];\ncry(-0.2602) q[3], q[1];\ncry(0.277) q[5], q[2];\ncry(-0.0883) q[5], q[1];\ncry(-0.5364) q[6], q[3];\ncry(-0.1649) q[2], q[5];\ncry(-0.2161) q[2], q[3];\nry(0.1119) q[0];\ncry(-0.1013) q[1], q[5];\ncry(-0.0124) q[0], q[5];\ncry(0.103) q[6], q[0];\ncry(0.462) q[1], q[3];\ncry(-1.1873) q[3], q[6];\ncry(0.5413) q[3], q[5];\ncry(0.1152) q[7], q[2];\ncry(0.0548) q[4], q[2];\ncry(-0.2297) q[5], q[6];\nry(0.0869) q[4];\ncry(-0.1283) q[0], q[2];\ncry(0.0097) q[0], q[6];\ncry(-0.276) q[1], q[2];\ncry(0.693) q[2], q[4];\ncry(-0.2838) q[4], q[5];\ncry(0.43) q[4], q[1];\ncry(0.1885) q[1], q[6];\ncry(-0.0062) q[4], q[6];\ncry(0.8185) q[7], q[6];\ncry(0.9948) q[2], q[1];\ncry(-0.1244) q[1], q[4];\ncry(0.9499) q[0], q[4];\ncry(0.7608) q[4], q[3];\ncry(-1.8828) q[2], q[0];\ncry(0.9103) q[5], q[0];\ncry(1.3592) q[0], q[1];\ncry(-1.5745) q[5], q[7];\nry(0.6188) q[7];\ncry(0.7095) q[7], q[3];\ncry(0.7187) q[2], q[6];\ncry(-0.1871) q[4], q[0];\ncry(0.2921) q[7], q[4];\ncry(0.4234) q[7], q[0];\ncry(-0.4072) q[0], q[7];\ncry(-0.1244) q[3], q[0];\ncry(0.1779) q[2], q[7];\ncry(0.1638) q[7], q[1];\ncry(0.0917) q[1], q[0];\ncry(-0.4501) q[6], q[4];\ncry(0.12) q[5], q[3];\ncry(-1.1026) q[5], q[4];\ncry(0.3997) q[4], q[7];\ncry(-0.2453) q[1], q[7];\ncry(0.1061) q[0], q[3];\ncry(0.4002) q[7], q[5];\ncry(-0.1412) q[6], q[7];\ncry(-0.1294) q[3], q[4];\ncry(0.0294) q[3], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}",{"$cut":{"chars":138442,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nry(-6.1156) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nry(-6.1156) q[5];\\nry(2.6234) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nry(-6.1156) q[5];\\nry(2.6234) q[2];\\nry(0.6747) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nry(-6.1156) q[5];\\nry(2.6234) q[2];\\nry(0.6747) q[3];\\nry(0.3884) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nry(-6.1156) q[5];\\nry(2.6234) q[2];\\nry(0.6747) q[3];\\nry(0.3884) q[1];\\ncry(0.208) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nry(-6.1156) q[5];\\nry(2.6234) q[2];\\nry(0.6747) q[3];\\nry(0.3884) q[1];\\ncry(0.208) q[6], q[5];\\ncry(-0.004) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nry(-6.1156) q[5];\\nry(2.6234) q[2];\\nry(0.6747) q[3];\\nry(0.3884) q[1];\\ncry(0.208) q[6], q[5];\\ncry(-0.004) q[6], q[1];\\ncry(0.2368) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nry(-6.1156) q[5];\\nry(2.6234) q[2];\\nry(0.6747) q[3];\\nry(0.3884) q[1];\\ncry(0.208) q[6], q[5];\\ncry(-0.004) q[6], q[1];\\ncry(0.2368) q[6], q[2];\\ncry(-0.1517) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(38.6317) q[6];\\nry(-6.1156) q[5];\\nry(2.6234) q[2];\\nry(0.6747) q[3];\\nry(0.3884) q[1];\\ncry(0.208) q[6], q[5];\\ncry(-0.004) q[6], q[1];\\ncry(0.2368) q[6], q[2];\\ncry(-0.1517) q[3], q["}}]
["9489ce4d26b81338a996936b33ca51e5","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 9}, {\"source\": 3, \"target\": 10}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 10}, {\"source\": 6, \"target\": 10}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 9}, {\"source\": 9, \"target\": 10}]}","{\"states\": [1023, 255], \"expectation_value\": -34.57875016860988, \"params\": [[[-0.0024000000000000002, 0.006], [-1.6107, 0.0053], [0.0023, 0.0067], [0.0024000000000000002, 0.0019], [0.0024000000000000002, 0.0024000000000000002], [0.0024000000000000002, 0.005], [0.0023, 0.008], [0.0023, 0.0047], [0.0026000000000000003, 0.0054], [3.1616, 0.0079]]], \"bitstrings\": [\"0000000000\", \"1100000000\"], \"total_optimization_steps\": 320, \"probabilities\": [0.47997803681098355, 0.5199106325564079], \"optimization_time\": 4.533914804458618}","-1.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + 1.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(2)) + -2.5 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(8)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(8)) + 1.0 * (Z(3) @ Z(9)) + -3.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(7)",2,10,1,"{\"smallest_eigenvalues\": [-36.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -32.5, \"smallest_bitstrings\": [\"1100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.0024) q[0];\nrz(0.006) q[0];\nrx(-1.6107) q[1];\nrz(0.0053) q[1];\nrx(0.0023) q[2];\nrz(0.0067) q[2];\nrx(0.0024) q[3];\nrz(0.0019) q[3];\nrx(0.0024) q[4];\nrz(0.0024) q[4];\nrx(0.0024) q[5];\nrz(0.005) q[5];\nrx(0.0023) q[6];\nrz(0.008) q[6];\nrx(0.0023) q[7];\nrz(0.0047) q[7];\nrx(0.0026) q[8];\nrz(0.0054) q[8];\nrx(3.1616) q[9];\nrz(0.0079) q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x6) q[4];\nrz(x6) q[4];\nrx(x6) q[5];\nrz(x8) q[5];\nrx(x4) q[6];\nrz(x9) q[6];\nrx(x4) q[7];\nrz(x10) q[7];\nrx(x11) q[8];\nrz(x12) q[8];\nrx(x13) q[9];\nrz(x14) q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 1}","{\"circuits\": [], \"gradients\": []}"]
["26b0c21f43e0914291253fccea754cb4","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 6, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [1, 21], \"expectation_value\": -9.449332538501677, \"params\": null, \"bitstrings\": [\"111110\", \"101010\"], \"total_optimization_steps\": 37, \"probabilities\": [0.13103223088624938, 0.7089469748292432], \"optimization_time\": 22.943730354309082}","-1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5)",1,6,3,"{\"smallest_eigenvalues\": [-10.5, -10.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -9.5, \"smallest_bitstrings\": [\"100010\", \"101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\ncry(-1.5708) q[5], q[0];\nry(1.148) q[5];\nry(-0.6079) q[0];\ncry(1.5707) q[1], q[3];\nry(1.056) q[1];\nry(0.48) q[3];\ncry(0.3875) q[3], q[1];\ncry(0.3392) q[1], q[5];\ncry(-0.1428) q[1], q[0];\nry(-1.0179) q[2];\ncry(0.0674) q[3], q[5];\ncry(0.0742) q[5], q[3];\ncry(-0.3535) q[5], q[2];\ncry(-0.0279) q[3], q[0];\ncry(0.0259) q[5], q[1];\ncry(-0.0907) q[0], q[2];\ncry(0.0492) q[0], q[3];\ncry(-0.0001) q[3], q[4];\ncry(-0.0013) q[5], q[4];\ncry(0.0186) q[2], q[5];\ncry(0.009) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":22171,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nry(1.148) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nry(1.148) q[5];\\nry(-0.6079) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nry(1.148) q[5];\\nry(-0.6079) q[0];\\ncry(1.5707) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nry(1.148) q[5];\\nry(-0.6079) q[0];\\ncry(1.5707) q[1], q[3];\\nry(1.056) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nry(1.148) q[5];\\nry(-0.6079) q[0];\\ncry(1.5707) q[1], q[3];\\nry(1.056) q[1];\\nry(0.48) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nry(1.148) q[5];\\nry(-0.6079) q[0];\\ncry(1.5707) q[1], q[3];\\nry(1.056) q[1];\\nry(0.48) q[3];\\ncry(0.3875) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nry(1.148) q[5];\\nry(-0.6079) q[0];\\ncry(1.5707) q[1], q[3];\\nry(1.056) q[1];\\nry(0.48) q[3];\\ncry(0.3875) q[3], q[1];\\ncry(0.3392) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nry(1.148) q[5];\\nry(-0.6079) q[0];\\ncry(1.5707) q[1], q[3];\\nry(1.056) q[1];\\nry(0.48) q[3];\\ncry(0.3875) q[3], q[1];\\ncry(0.3392) q[1], q[5];\\ncry(-0.1428) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[5], q[0];\\nry(1.148) q[5];\\nry(-0.6079) q[0];\\ncry(1.5707) q[1], q[3];\\nry(1.056) q[1];\\nry(0.48) q[3];\\ncry(0.3875) q[3], q[1];\\ncry(0.3392) q[1], q[5];\\ncry(-0.1428) q[1], q[0];\\nry(-1.0179) q[2];\\nc[0] = measure q[0];\\nc["}}]
["1b25290ab1e43a1b592d31250319712f","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [828, 1020], \"expectation_value\": -0.9466129493607118, \"params\": [[0.06770000000000001], [-0.061200000000000004]], \"bitstrings\": [\"0011000011\", \"0000000011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0015793552942395149, 0.0016302069959045042], \"optimization_time\": 4.2500481605529785}","-1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(7) + -1.0 * Z(9) + -1.0 * Z(8)",1,10,1,"{\"smallest_eigenvalues\": [-21.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.5, \"smallest_bitstrings\": [\"0000000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(-0.1354) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.1354) q[2];\ncx q[3], q[2];\ncx q[5], q[4];\nrz(-0.2708) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(-0.2708) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(-0.2708) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(-0.2708) q[7];\ncx q[5], q[7];\ncx q[4], q[7];\nrz(-0.2708) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.2708) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(-0.2031) q[8];\ncx q[9], q[8];\nrz(0.0677) q[1];\nrz(0.0677) q[0];\nrz(0.0677) q[3];\nrz(0.0677) q[2];\nrz(0.0677) q[5];\nrz(0.0677) q[4];\nrz(0.0677) q[6];\nrz(0.0677) q[7];\nrz(-0.1354) q[9];\nrz(-0.1354) q[8];\nh q[0];\nrz(-0.1224) q[0];\nh q[0];\nh q[1];\nrz(-0.1224) q[1];\nh q[1];\nh q[2];\nrz(-0.1224) q[2];\nh q[2];\nh q[3];\nrz(-0.1224) q[3];\nh q[3];\nh q[4];\nrz(-0.1224) q[4];\nh q[4];\nh q[5];\nrz(-0.1224) q[5];\nh q[5];\nh q[6];\nrz(-0.1224) q[6];\nh q[6];\nh q[7];\nrz(-0.1224) q[7];\nh q[7];\nh q[8];\nrz(-0.1224) q[8];\nh q[8];\nh q[9];\nrz(-0.1224) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(x1) q[7];\ncx q[5], q[7];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(x2) q[8];\ncx q[9], q[8];\nrz(x3) q[1];\nrz(x3) q[0];\nrz(x3) q[3];\nrz(x3) q[2];\nrz(x3) q[5];\nrz(x3) q[4];\nrz(x3) q[6];\nrz(x3) q[7];\nrz(x0) q[9];\nrz(x0) q[8];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nh q[8];\nrz(x4) q[8];\nh q[8];\nh q[9];\nrz(x4) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 9}","{\"circuits\": [], \"gradients\": []}"]
["19902a494954f08596a318616ba69117","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 7}, {\"source\": 6, \"target\": 8}]}","{\"states\": [268, 284], \"expectation_value\": -3.747506722591109, \"params\": [[[0.9099, -0.0026000000000000003], [0.0039000000000000003, -0.47450000000000003], [0.192, 0.366], [0.2043, 0.3689], [0.8458, 0.0022], [0.9122, -0.0034000000000000002], [0.8504, -0.0017000000000000001], [0.2068, -0.3604], [0.7198, 0.0441]], [[0.901, 0.0011], [0.0034000000000000002, 0.0076], [0.1869, 0.0064], [0.20500000000000002, 0.0039000000000000003], [0.8457, 0.006500000000000001], [0.9121, 0.0058000000000000005], [0.8469, 0.0007], [0.20980000000000001, 0.0053], [0.7232000000000001, 0.0005]]], \"bitstrings\": [\"011110011\", \"011100011\"], \"total_optimization_steps\": 90, \"probabilities\": [0.04803687800695901, 0.06119077050176389], \"optimization_time\": 14.67689323425293}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(7) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(8) + -0.5 * Z(2)",1,9,2,"{\"smallest_eigenvalues\": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"111100001\", \"010011110\", \"011010011\", \"011010110\", \"011100110\", \"011100011\", \"111100100\", \"010011011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.9099) q[0];\nrz(-0.0026) q[0];\nrx(0.0039) q[1];\nrz(-0.4745) q[1];\nrx(0.192) q[2];\nrz(0.366) q[2];\nrx(0.2043) q[3];\nrz(0.3689) q[3];\nrx(0.8458) q[4];\nrz(0.0022) q[4];\nrx(0.9122) q[5];\nrz(-0.0034) q[5];\nrx(0.8504) q[6];\nrz(-0.0017) q[6];\nrx(0.2068) q[7];\nrz(-0.3604) q[7];\nrx(0.7198) q[8];\nrz(0.0441) q[8];\nrx(0.901) q[0];\nrz(0.0011) q[0];\nrx(0.0034) q[1];\nrz(0.0076) q[1];\nrx(0.1869) q[2];\nrz(0.0064) q[2];\nrx(0.205) q[3];\nrz(0.0039) q[3];\nrx(0.8457) q[4];\nrz(0.0065) q[4];\nrx(0.9121) q[5];\nrz(0.0058) q[5];\nrx(0.8469) q[6];\nrz(0.0007) q[6];\nrx(0.2098) q[7];\nrz(0.0053) q[7];\nrx(0.7232) q[8];\nrz(0.0005) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[0];\nrz(x19) q[0];\nrx(x20) q[1];\nrz(x21) q[1];\nrx(x22) q[2];\nrz(x23) q[2];\nrx(x24) q[3];\nrz(x2) q[3];\nrx(x25) q[4];\nrz(x26) q[4];\nrx(x27) q[5];\nrz(x28) q[5];\nrx(x29) q[6];\nrz(x30) q[6];\nrx(x31) q[7];\nrz(x32) q[7];\nrx(x33) q[8];\nrz(x34) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["b93e7e87e2621c92c7ba04b041c49bf3","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [6, 41], \"expectation_value\": -1.2341427888219942, \"params\": [[-0.0614, -0.0682, -0.06430000000000001, -0.0761], [0.0713, 0.0755, 0.0707, 0.0745]], \"bitstrings\": [\"111001\", \"010110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.032205987023588976, 0.037893918213484604], \"optimization_time\": 5.206625699996948}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[0];\nrz(-0.0614) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0614) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(-0.0614) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(-0.0614) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0614) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0614) q[2];\ncx q[1], q[2];\ncx q[4], q[5];\nrz(-0.0614) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0614) q[5];\ncx q[1], q[5];\nrz(0.1228) q[3];\nrz(0.0614) q[0];\nrz(0.1228) q[4];\nrz(0.1228) q[1];\nrz(0.1228) q[2];\nrz(0.0614) q[5];\nh q[0];\nrz(0.1426) q[0];\nh q[0];\nh q[1];\nrz(0.1426) q[1];\nh q[1];\nh q[2];\nrz(0.1426) q[2];\nh q[2];\nh q[3];\nrz(0.1426) q[3];\nh q[3];\nh q[4];\nrz(0.1426) q[4];\nh q[4];\nh q[5];\nrz(0.1426) q[5];\nh q[5];\ncx q[3], q[0];\nrz(-0.0682) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0682) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(-0.0682) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(-0.0682) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0682) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0682) q[2];\ncx q[1], q[2];\ncx q[4], q[5];\nrz(-0.0682) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0682) q[5];\ncx q[1], q[5];\nrz(0.1364) q[3];\nrz(0.0682) q[0];\nrz(0.1364) q[4];\nrz(0.1364) q[1];\nrz(0.1364) q[2];\nrz(0.0682) q[5];\nh q[0];\nrz(0.151) q[0];\nh q[0];\nh q[1];\nrz(0.151) q[1];\nh q[1];\nh q[2];\nrz(0.151) q[2];\nh q[2];\nh q[3];\nrz(0.151) q[3];\nh q[3];\nh q[4];\nrz(0.151) q[4];\nh q[4];\nh q[5];\nrz(0.151) q[5];\nh q[5];\ncx q[3], q[0];\nrz(-0.0643) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0643) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(-0.0643) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(-0.0643) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0643) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0643) q[2];\ncx q[1], q[2];\ncx q[4], q[5];\nrz(-0.0643) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0643) q[5];\ncx q[1], q[5];\nrz(0.1286) q[3];\nrz(0.0643) q[0];\nrz(0.1286) q[4];\nrz(0.1286) q[1];\nrz(0.1286) q[2];\nrz(0.0643) q[5];\nh q[0];\nrz(0.1414) q[0];\nh q[0];\nh q[1];\nrz(0.1414) q[1];\nh q[1];\nh q[2];\nrz(0.1414) q[2];\nh q[2];\nh q[3];\nrz(0.1414) q[3];\nh q[3];\nh q[4];\nrz(0.1414) q[4];\nh q[4];\nh q[5];\nrz(0.1414) q[5];\nh q[5];\ncx q[3], q[0];\nrz(-0.0761) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0761) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(-0.0761) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(-0.0761) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0761) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0761) q[2];\ncx q[1], q[2];\ncx q[4], q[5];\nrz(-0.0761) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0761) q[5];\ncx q[1], q[5];\nrz(0.1522) q[3];\nrz(0.0761) q[0];\nrz(0.1522) q[4];\nrz(0.1522) q[1];\nrz(0.1522) q[2];\nrz(0.0761) q[5];\nh q[0];\nrz(0.149) q[0];\nh q[0];\nh q[1];\nrz(0.149) q[1];\nh q[1];\nh q[2];\nrz(0.149) q[2];\nh q[2];\nh q[3];\nrz(0.149) q[3];\nh q[3];\nh q[4];\nrz(0.149) q[4];\nh q[4];\nh q[5];\nrz(0.149) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x1) q[4];\nrz(x1) q[1];\nrz(x1) q[2];\nrz(x2) q[5];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\ncx q[3], q[0];\nrz(x4) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x4) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(x4) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x4) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x4) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x4) q[2];\ncx q[1], q[2];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\nrz(x5) q[3];\nrz(x6) q[0];\nrz(x5) q[4];\nrz(x5) q[1];\nrz(x5) q[2];\nrz(x6) q[5];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\ncx q[3], q[0];\nrz(x8) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x8) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(x8) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x8) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x8) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[4], q[5];\nrz(x8) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\nrz(x9) q[3];\nrz(x10) q[0];\nrz(x9) q[4];\nrz(x9) q[1];\nrz(x9) q[2];\nrz(x10) q[5];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\ncx q[3], q[0];\nrz(x12) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x12) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(x12) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x12) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x12) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x12) q[2];\ncx q[1], q[2];\ncx q[4], q[5];\nrz(x12) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x12) q[5];\ncx q[1], q[5];\nrz(x13) q[3];\nrz(x14) q[0];\nrz(x13) q[4];\nrz(x13) q[1];\nrz(x13) q[2];\nrz(x14) q[5];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["1c5d1381d8045df60eb241fe502287d3","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [647, 135], \"expectation_value\": -22.64554494364902, \"params\": null, \"bitstrings\": [\"0101111000\", \"1101111000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.11421765662961882, 0.37852771296379023], \"optimization_time\": 181.92488861083984}","-3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(2)) + -3.0 * Z(1) + -2.5 * Z(0) + -2.5 * Z(4) + 1.0 * Z(3) + -2.5 * Z(5) + -2.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(2) + 0.5 * Z(9)",5,10,1,"{\"smallest_eigenvalues\": [-32.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -31.0, \"smallest_bitstrings\": [\"1101111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5709) q[1];\nry(-0.069) q[5];\nry(-0.2708) q[0];\ncry(-1.296) q[5], q[0];\nry(-1.5709) q[4];\nry(-1.5487) q[6];\ncry(-0.8333) q[3], q[5];\ncry(-0.8822) q[9], q[5];\ncry(-0.5242) q[8], q[5];\ncry(1.1308) q[0], q[5];\ncry(-0.8868) q[3], q[0];\ncry(-0.1743) q[7], q[5];\ncry(-0.1269) q[2], q[5];\ncry(1.5706) q[8], q[2];\ncry(1.2229) q[2], q[8];\ncry(0.0884) q[2], q[0];\ncry(-0.0581) q[8], q[0];\ncry(-0.4364) q[7], q[0];\ncry(1.5695) q[8], q[7];\ncry(1.5687) q[2], q[9];\ncry(0.567) q[9], q[0];\nry(-1.1448) q[3];\ncry(0.4629) q[0], q[3];\nry(-0.1223) q[7];\ncry(0.3146) q[9], q[6];\ncry(0.4233) q[7], q[6];\ncry(-0.4494) q[2], q[6];\ncry(-0.1014) q[8], q[6];\ncry(-0.2123) q[0], q[6];\ncry(0.1092) q[2], q[7];\ncry(-0.2298) q[2], q[3];\ncry(0.3467) q[5], q[3];\nry(-0.0762) q[9];\ncry(0.1076) q[8], q[9];\ncry(-0.1631) q[3], q[6];\ncry(0.1902) q[0], q[7];\ncry(-0.0906) q[9], q[7];\nry(0.0218) q[2];\ncry(0.1251) q[5], q[8];\ncry(-0.0493) q[7], q[9];\ncry(0.2127) q[5], q[9];\ncry(0.0903) q[5], q[2];\ncry(-0.0144) q[9], q[2];\ncry(-0.1436) q[6], q[5];\ncry(-0.1118) q[6], q[0];\ncry(-0.369) q[7], q[4];\ncry(-1.0717) q[9], q[4];\ncry(0.0591) q[2], q[4];\ncry(0.0073) q[8], q[4];\ncry(1.2318) q[0], q[4];\ncry(0.9849) q[3], q[4];\ncry(-0.4945) q[4], q[5];\ncry(0.2404) q[5], q[4];\ncry(0.2819) q[6], q[4];\ncry(-0.9398) q[9], q[1];\ncry(-0.5995) q[7], q[1];\ncry(0.0449) q[2], q[1];\ncry(0.0051) q[8], q[1];\ncry(1.1448) q[1], q[4];\ncry(0.3163) q[4], q[1];\ncry(-0.1874) q[1], q[6];\ncry(2.8392) q[1], q[3];\ncry(2.5365) q[3], q[1];\ncry(-0.8085) q[7], q[3];\ncry(0.4769) q[0], q[1];\ncry(-0.5137) q[9], q[3];\ncry(0.2476) q[5], q[1];\ncry(-0.3569) q[4], q[0];\ncry(-0.3512) q[1], q[5];\ncry(-0.2171) q[1], q[0];\ncry(0.1671) q[4], q[3];\ncry(-0.1179) q[1], q[9];\ncry(-0.0962) q[1], q[7];\ncry(-0.0681) q[1], q[8];\ncry(0.013) q[9], q[8];\ncry(0.01) q[7], q[2];\ncry(0.0453) q[8], q[3];\ncry(-0.061) q[5], q[7];\ncry(-0.0424) q[1], q[2];\nry(-0.002) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"node\": 6}",{"$cut":{"chars":149469,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5709) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5709) q[1];\\nry(-0.069) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5709) q[1];\\nry(-0.069) q[5];\\nry(-0.2708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5709) q[1];\\nry(-0.069) q[5];\\nry(-0.2708) q[0];\\ncry(-1.296) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5709) q[1];\\nry(-0.069) q[5];\\nry(-0.2708) q[0];\\ncry(-1.296) q[5], q[0];\\nry(-1.5709) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5709) q[1];\\nry(-0.069) q[5];\\nry(-0.2708) q[0];\\ncry(-1.296) q[5], q[0];\\nry(-1.5709) q[4];\\nry(-1.5487) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5709) q[1];\\nry(-0.069) q[5];\\nry(-0.2708) q[0];\\ncry(-1.296) q[5], q[0];\\nry(-1.5709) q[4];\\nry(-1.5487) q[6];\\ncry(-0.8333) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5709) q[1];\\nry(-0.069) q[5];\\nry(-0.2708) q[0];\\ncry(-1.296) q[5], q[0];\\nry(-1.5709) q[4];\\nry(-1.5487) q[6];\\ncry(-0.8333) q[3], q[5];\\ncry(-0.8822) q[9], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5709) q[1];\\nry(-0.069) q[5];\\nry(-0.2708) q[0];\\ncry(-1.296) q[5], q[0];\\nry(-1.5709) q[4];\\nry(-1.5487) q[6];\\ncry(-0.8333) q[3], q"}}]
["b0dd1050887f092ff1c439d2cb12f6fe","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 5, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 6, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 4, \"source\": 6, \"target\": 5}]}","{\"states\": [33, 1], \"expectation_value\": -1.4769262077280643, \"params\": [[-0.0577, -0.0757], [0.0664, 0.0723]], \"bitstrings\": [\"11011110\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008121256695448806, 0.009571619356436214], \"optimization_time\": 3.0440921783447266}","-1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * Z(7) + -0.25 * Z(2) + 1.5 * Z(3) + -0.5 * Z(4)",1,8,2,"{\"smallest_eigenvalues\": [-12.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -10.25, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.1154) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(0.0866) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(0.1442) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.1154) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.0577) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.2308) q[7];\ncx q[0], q[7];\ncx q[1], q[2];\nrz(0.0289) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(0.0577) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(0.0577) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.1154) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.1731) q[4];\ncx q[3], q[4];\nrz(0.0577) q[1];\nrz(0.0289) q[0];\nrz(0.1442) q[5];\nrz(0.0289) q[6];\nrz(-0.1731) q[7];\nrz(0.0289) q[2];\nrz(-0.1731) q[3];\nrz(0.0577) q[4];\nh q[0];\nrz(0.1328) q[0];\nh q[0];\nh q[1];\nrz(0.1328) q[1];\nh q[1];\nh q[2];\nrz(0.1328) q[2];\nh q[2];\nh q[3];\nrz(0.1328) q[3];\nh q[3];\nh q[4];\nrz(0.1328) q[4];\nh q[4];\nh q[5];\nrz(0.1328) q[5];\nh q[5];\nh q[6];\nrz(0.1328) q[6];\nh q[6];\nh q[7];\nrz(0.1328) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1514) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(0.1136) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(0.1893) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.1514) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.0757) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.3028) q[7];\ncx q[0], q[7];\ncx q[1], q[2];\nrz(0.0379) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(0.0757) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(0.0757) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.1514) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.2271) q[4];\ncx q[3], q[4];\nrz(0.0757) q[1];\nrz(0.0379) q[0];\nrz(0.1893) q[5];\nrz(0.0379) q[6];\nrz(-0.2271) q[7];\nrz(0.0379) q[2];\nrz(-0.2271) q[3];\nrz(0.0757) q[4];\nh q[0];\nrz(0.1446) q[0];\nh q[0];\nh q[1];\nrz(0.1446) q[1];\nh q[1];\nh q[2];\nrz(0.1446) q[2];\nh q[2];\nh q[3];\nrz(0.1446) q[3];\nh q[3];\nh q[4];\nrz(0.1446) q[4];\nh q[4];\nh q[5];\nrz(0.1446) q[5];\nh q[5];\nh q[6];\nrz(0.1446) q[6];\nh q[6];\nh q[7];\nrz(0.1446) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[1], q[2];\nrz(x5) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x3) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(x3) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\nrz(x3) q[1];\nrz(x5) q[0];\nrz(x2) q[5];\nrz(x5) q[6];\nrz(x7) q[7];\nrz(x5) q[2];\nrz(x7) q[3];\nrz(x3) q[4];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x10) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x11) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x12) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x13) q[7];\ncx q[0], q[7];\ncx q[1], q[2];\nrz(x14) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x12) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(x12) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x15) q[4];\ncx q[3], q[4];\nrz(x12) q[1];\nrz(x14) q[0];\nrz(x11) q[5];\nrz(x14) q[6];\nrz(x16) q[7];\nrz(x14) q[2];\nrz(x16) q[3];\nrz(x12) q[4];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["73234867a8d73902463f648150631001","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 4, \"source\": 1, \"target\": 6}, {\"capacity\": 5, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 5, \"target\": 6}]}","{\"states\": [64, 63], \"expectation_value\": -1.2086921917964388, \"params\": [[0.0618, 0.0135], [-0.092, -0.0519]], \"bitstrings\": [\"0111111\", \"1000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.013147151597786903, 0.013361886964294818], \"optimization_time\": 13.973612070083618}","-0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 * Z(3) + 0.5 * Z(4) + -1.0 * Z(5)",1,7,2,"{\"smallest_eigenvalues\": [-9.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.25, \"smallest_bitstrings\": [\"1000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0309) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(-0.1236) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0618) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(-0.1545) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(-0.0309) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(-0.1545) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(-0.1854) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.1545) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(-0.0618) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(-0.0927) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0927) q[5];\ncx q[4], q[5];\nrz(-0.0618) q[1];\nrz(-0.0309) q[0];\nrz(-0.309) q[6];\nrz(0.2163) q[2];\nrz(0.2472) q[3];\nrz(0.0618) q[4];\nrz(-0.1236) q[5];\nh q[0];\nrz(-0.184) q[0];\nh q[0];\nh q[1];\nrz(-0.184) q[1];\nh q[1];\nh q[2];\nrz(-0.184) q[2];\nh q[2];\nh q[3];\nrz(-0.184) q[3];\nh q[3];\nh q[4];\nrz(-0.184) q[4];\nh q[4];\nh q[5];\nrz(-0.184) q[5];\nh q[5];\nh q[6];\nrz(-0.184) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0067) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(-0.027) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0135) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(-0.0338) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(-0.0067) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(-0.0338) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(-0.0405) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.0338) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(-0.0135) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(-0.0203) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0203) q[5];\ncx q[4], q[5];\nrz(-0.0135) q[1];\nrz(-0.0067) q[0];\nrz(-0.0675) q[6];\nrz(0.0473) q[2];\nrz(0.054) q[3];\nrz(0.0135) q[4];\nrz(-0.027) q[5];\nh q[0];\nrz(-0.1038) q[0];\nh q[0];\nh q[1];\nrz(-0.1038) q[1];\nh q[1];\nh q[2];\nrz(-0.1038) q[2];\nh q[2];\nh q[3];\nrz(-0.1038) q[3];\nh q[3];\nh q[4];\nrz(-0.1038) q[4];\nh q[4];\nh q[5];\nrz(-0.1038) q[5];\nh q[5];\nh q[6];\nrz(-0.1038) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(x3) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(x5) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x6) q[5];\ncx q[4], q[5];\nrz(x5) q[1];\nrz(x0) q[0];\nrz(x7) q[6];\nrz(x8) q[2];\nrz(x9) q[3];\nrz(x2) q[4];\nrz(x1) q[5];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(x12) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x13) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(x14) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(x11) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(x14) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x15) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x14) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(x16) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x17) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x17) q[5];\ncx q[4], q[5];\nrz(x16) q[1];\nrz(x11) q[0];\nrz(x18) q[6];\nrz(x19) q[2];\nrz(x20) q[3];\nrz(x13) q[4];\nrz(x12) q[5];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["1cf62c7ab33fc7566dad05641a882509","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [89, 38], \"expectation_value\": -0.3712485151541685, \"params\": [[-0.0746], [0.07540000000000001]], \"bitstrings\": [\"0100110\", \"1011001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00943374808995166, 0.009724634457551198], \"optimization_time\": 1.645585536956787}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(6) + -1.0 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-5.5, -5.5, -5.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0101110\", \"0100111\", \"1011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0746) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(-0.0746) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(-0.0746) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(-0.0746) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(-0.0746) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(-0.0746) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(-0.0746) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.0746) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(-0.0746) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(-0.0746) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0746) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.0746) q[4];\ncx q[6], q[4];\nrz(0.2238) q[1];\nrz(0.0746) q[0];\nrz(0.2238) q[5];\nrz(0.1492) q[2];\nrz(0.2238) q[3];\nrz(0.2238) q[6];\nrz(0.1492) q[4];\nh q[0];\nrz(0.1508) q[0];\nh q[0];\nh q[1];\nrz(0.1508) q[1];\nh q[1];\nh q[2];\nrz(0.1508) q[2];\nh q[2];\nh q[3];\nrz(0.1508) q[3];\nh q[3];\nh q[4];\nrz(0.1508) q[4];\nh q[4];\nh q[5];\nrz(0.1508) q[5];\nh q[5];\nh q[6];\nrz(0.1508) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x1) q[5];\nrz(x3) q[2];\nrz(x1) q[3];\nrz(x1) q[6];\nrz(x3) q[4];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["a6f2ec57af099b3bb5cc46b59481f5f7","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 8}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [255, 223], \"expectation_value\": -0.47808122898576066, \"params\": [[-0.040100000000000004], [0.0424]], \"bitstrings\": [\"00000000\", \"00100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004632579330265356, 0.004664111657003733], \"optimization_time\": 0.9208142757415771}","-1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -0.5 * Z(2)",1,8,1,"{\"smallest_eigenvalues\": [-16.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.5, \"smallest_bitstrings\": [\"00100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.0802) q[0];\ncx q[1], q[0];\ncx q[4], q[3];\nrz(0.2005) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(-0.0802) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.2005) q[5];\ncx q[3], q[5];\ncx q[4], q[6];\nrz(0.1604) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(0.2005) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.1604) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.0401) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(0.2005) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.0401) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0401) q[7];\ncx q[6], q[7];\nrz(-0.0401) q[1];\nrz(-0.0401) q[0];\nrz(-0.0401) q[4];\nrz(-0.0401) q[3];\nrz(-0.0401) q[5];\nrz(-0.0401) q[6];\nrz(-0.0401) q[7];\nrz(0.0401) q[2];\nh q[0];\nrz(0.0848) q[0];\nh q[0];\nh q[1];\nrz(0.0848) q[1];\nh q[1];\nh q[2];\nrz(0.0848) q[2];\nh q[2];\nh q[3];\nrz(0.0848) q[3];\nh q[3];\nh q[4];\nrz(0.0848) q[4];\nh q[4];\nh q[5];\nrz(0.0848) q[5];\nh q[5];\nh q[6];\nrz(0.0848) q[6];\nh q[6];\nh q[7];\nrz(0.0848) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x4) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x4) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x4) q[7];\ncx q[6], q[7];\nrz(x4) q[1];\nrz(x4) q[0];\nrz(x4) q[4];\nrz(x4) q[3];\nrz(x4) q[5];\nrz(x4) q[6];\nrz(x4) q[7];\nrz(x5) q[2];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["953796ca4b6137c6c134989cdf6bb9e5","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 1}, {\"capacity\": 6, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 7}, {\"capacity\": 6, \"source\": 3, \"target\": 2}, {\"capacity\": 6, \"source\": 4, \"target\": 6}, {\"capacity\": 4, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 3, \"source\": 6, \"target\": 5}]}","{\"states\": [128, 1], \"expectation_value\": -2.6769887878344525, \"params\": [[0.0656, 0.0543, -0.0045000000000000005, -0.0627], [-0.0751, -0.06470000000000001, -0.042300000000000004, 0.0048000000000000004]], \"bitstrings\": [\"01111111\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.010242727898435486, 0.013757851122850119], \"optimization_time\": 6.111717939376831}","-1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + 1.25 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-14.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.0, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(-0.1312) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(-0.0984) q[6];\ncx q[0], q[6];\ncx q[3], q[2];\nrz(-0.1968) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.1312) q[1];\ncx q[2], q[1];\ncx q[6], q[4];\nrz(-0.2624) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(-0.1968) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(-0.1312) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(-0.0984) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(-0.0984) q[5];\ncx q[2], q[5];\ncx q[0], q[7];\nrz(0.2624) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.0984) q[7];\ncx q[2], q[7];\nrz(-0.0656) q[3];\nrz(-0.0328) q[0];\nrz(-0.1312) q[6];\nrz(0.328) q[2];\nrz(-0.1312) q[1];\nrz(-0.0656) q[4];\nrz(-0.0656) q[5];\nrz(0.164) q[7];\nh q[0];\nrz(-0.1502) q[0];\nh q[0];\nh q[1];\nrz(-0.1502) q[1];\nh q[1];\nh q[2];\nrz(-0.1502) q[2];\nh q[2];\nh q[3];\nrz(-0.1502) q[3];\nh q[3];\nh q[4];\nrz(-0.1502) q[4];\nh q[4];\nh q[5];\nrz(-0.1502) q[5];\nh q[5];\nh q[6];\nrz(-0.1502) q[6];\nh q[6];\nh q[7];\nrz(-0.1502) q[7];\nh q[7];\ncx q[3], q[0];\nrz(-0.1086) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(-0.0814) q[6];\ncx q[0], q[6];\ncx q[3], q[2];\nrz(-0.1629) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.1086) q[1];\ncx q[2], q[1];\ncx q[6], q[4];\nrz(-0.2172) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(-0.1629) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(-0.1086) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(-0.0814) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(-0.0814) q[5];\ncx q[2], q[5];\ncx q[0], q[7];\nrz(0.2172) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.0814) q[7];\ncx q[2], q[7];\nrz(-0.0543) q[3];\nrz(-0.0272) q[0];\nrz(-0.1086) q[6];\nrz(0.2715) q[2];\nrz(-0.1086) q[1];\nrz(-0.0543) q[4];\nrz(-0.0543) q[5];\nrz(0.1358) q[7];\nh q[0];\nrz(-0.1294) q[0];\nh q[0];\nh q[1];\nrz(-0.1294) q[1];\nh q[1];\nh q[2];\nrz(-0.1294) q[2];\nh q[2];\nh q[3];\nrz(-0.1294) q[3];\nh q[3];\nh q[4];\nrz(-0.1294) q[4];\nh q[4];\nh q[5];\nrz(-0.1294) q[5];\nh q[5];\nh q[6];\nrz(-0.1294) q[6];\nh q[6];\nh q[7];\nrz(-0.1294) q[7];\nh q[7];\ncx q[3], q[0];\nrz(0.009) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(0.0068) q[6];\ncx q[0], q[6];\ncx q[3], q[2];\nrz(0.0135) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(0.009) q[1];\ncx q[2], q[1];\ncx q[6], q[4];\nrz(0.018) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(0.0135) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(0.009) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(0.0068) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(0.0068) q[5];\ncx q[2], q[5];\ncx q[0], q[7];\nrz(-0.018) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.0068) q[7];\ncx q[2], q[7];\nrz(0.0045) q[3];\nrz(0.0023) q[0];\nrz(0.009) q[6];\nrz(-0.0225) q[2];\nrz(0.009) q[1];\nrz(0.0045) q[4];\nrz(0.0045) q[5];\nrz(-0.0113) q[7];\nh q[0];\nrz(-0.0846) q[0];\nh q[0];\nh q[1];\nrz(-0.0846) q[1];\nh q[1];\nh q[2];\nrz(-0.0846) q[2];\nh q[2];\nh q[3];\nrz(-0.0846) q[3];\nh q[3];\nh q[4];\nrz(-0.0846) q[4];\nh q[4];\nh q[5];\nrz(-0.0846) q[5];\nh q[5];\nh q[6];\nrz(-0.0846) q[6];\nh q[6];\nh q[7];\nrz(-0.0846) q[7];\nh q[7];\ncx q[3], q[0];\nrz(0.1254) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(0.0941) q[6];\ncx q[0], q[6];\ncx q[3], q[2];\nrz(0.1881) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(0.1254) q[1];\ncx q[2], q[1];\ncx q[6], q[4];\nrz(0.2508) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(0.1881) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(0.1254) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(0.0941) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(0.0941) q[5];\ncx q[2], q[5];\ncx q[0], q[7];\nrz(-0.2508) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.0941) q[7];\ncx q[2], q[7];\nrz(0.0627) q[3];\nrz(0.0314) q[0];\nrz(0.1254) q[6];\nrz(-0.3135) q[2];\nrz(0.1254) q[1];\nrz(0.0627) q[4];\nrz(0.0627) q[5];\nrz(-0.1568) q[7];\nh q[0];\nrz(0.0096) q[0];\nh q[0];\nh q[1];\nrz(0.0096) q[1];\nh q[1];\nh q[2];\nrz(0.0096) q[2];\nh q[2];\nh q[3];\nrz(0.0096) q[3];\nh q[3];\nh q[4];\nrz(0.0096) q[4];\nh q[4];\nh q[5];\nrz(0.0096) q[5];\nh q[5];\nh q[6];\nrz(0.0096) q[6];\nh q[6];\nh q[7];\nrz(0.0096) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[3], q[2];\nrz(x2) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[6], q[4];\nrz(x3) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\nrz(x5) q[3];\nrz(x6) q[0];\nrz(x0) q[6];\nrz(x7) q[2];\nrz(x0) q[1];\nrz(x5) q[4];\nrz(x5) q[5];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x10) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(x11) q[6];\ncx q[0], q[6];\ncx q[3], q[2];\nrz(x12) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x10) q[1];\ncx q[2], q[1];\ncx q[6], q[4];\nrz(x13) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(x12) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(x11) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[0], q[7];\nrz(x14) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x11) q[7];\ncx q[2], q[7];\nrz(x15) q[3];\nrz(x16) q[0];\nrz(x10) q[6];\nrz(x17) q[2];\nrz(x10) q[1];\nrz(x15) q[4];\nrz(x15) q[5];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x20) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(x21) q[6];\ncx q[0], q[6];\ncx q[3], q[2];\nrz(x22) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x20) q[1];\ncx q[2], q[1];\ncx q[6], q[4];\nrz(x23) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(x22) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x20) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(x21) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(x21) q[5];\ncx q[2], q[5];\ncx q[0], q[7];\nrz(x24) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x21) q[7];\ncx q[2], q[7];\nrz(x25) q[3];\nrz(x26) q[0];\nrz(x20) q[6];\nrz(x27) q[2];\nrz(x20) q[1];\nrz(x25) q[4];\nrz(x25) q[5];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x30) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(x31) q[6];\ncx q[0], q[6];\ncx q[3], q[2];\nrz(x32) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x30) q[1];\ncx q[2], q[1];\ncx q[6], q[4];\nrz(x33) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(x32) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x30) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(x31) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(x31) q[5];\ncx q[2], q[5];\ncx q[0], q[7];\nrz(x34) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x31) q[7];\ncx q[2], q[7];\nrz(x35) q[3];\nrz(x36) q[0];\nrz(x30) q[6];\nrz(x37) q[2];\nrz(x30) q[1];\nrz(x35) q[4];\nrz(x35) q[5];\nrz(x38) q[7];\nh q[0];\nrz(x39) q[0];\nh q[0];\nh q[1];\nrz(x39) q[1];\nh q[1];\nh q[2];\nrz(x39) q[2];\nh q[2];\nh q[3];\nrz(x39) q[3];\nh q[3];\nh q[4];\nrz(x39) q[4];\nh q[4];\nh q[5];\nrz(x39) q[5];\nh q[5];\nh q[6];\nrz(x39) q[6];\nh q[6];\nh q[7];\nrz(x39) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["1dcb3c744ddd55658248ce3c7196418c","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}]}","{\"states\": [56947, 56955], \"expectation_value\": -16.626375474811596, \"params\": [1.0694000000000001, -0.0056, 1.0676, 0.1481, 0.47990000000000005, 0.3062, 0.6533, 0.2615, 1.0658, 0.0178, 0.9745, -0.0458, 1.0138, -0.2524, 0.4848, -0.2962, 0.4842, 0.29560000000000003, 0.9839, 0.24960000000000002, 0.9808, 0.0881, 1.0657, 0.0522, 0.6025, 0.2894, 0.4822, 0.3043, 1.0702, -0.0033, 1.0699, -0.0001, 1.0673000000000001, -0.007, 1.0642, 0.1549, 0.4751, 0.3014, 0.6121, 0.2735, 1.0653000000000001, -0.0327, 0.9664, -0.046700000000000005, 1.0032, -0.2636, 0.47750000000000004, -0.2992, 0.4778, 0.2974, 0.9737, 0.2518, 0.9566, 0.08750000000000001, 1.0631000000000002, -0.0036000000000000003, 0.5693, 0.2897, 0.47990000000000005, 0.3023, 1.0665, 0.0026000000000000003, 1.0647, -0.0014, 1.0651000000000002, 0.0098, 1.0577, 0.0074, 0.4751, 0.0028, 0.6128, 0.003, 1.0656, 0.0032, 0.9679000000000001, 0.0006000000000000001, 1.0044, 0.0057, 0.47940000000000005, 0.005200000000000001, 0.4773, 0.0058000000000000005, 0.9826, 0.0032, 0.9736, 0.0013000000000000002, 1.0681, 0.0029000000000000002, 0.5717, 0.0059, 0.4767, 0.0083, 1.0602, 0.0068000000000000005, 1.0664, 0.0074, 0.008, -0.016900000000000002, 0.27690000000000003, 0.3126, -0.24700000000000003, 0.0632, -0.1223, -0.29610000000000003, 0.30770000000000003, 0.2937, 0.11660000000000001, 0.0499, 0.056, 0.31020000000000003, -0.138, -0.0068000000000000005, -0.0025, 0.0188, 0.2985, 0.3085, 0.15860000000000002, 0.0033, -0.1416, -0.2997, 0.30870000000000003, 0.2967, 0.16770000000000002, -0.0091, 0.10980000000000001, 0.3035, 0.305, -0.0017000000000000001, 0.0059, 0.0057, 0.006500000000000001, 0.006500000000000001, 0.0043, 0.009000000000000001, 0.0037, 0.0044, 0.0089, 0.0081, 0.007, 0.001, 0.0092, 0.0071, 0.01, 0.0015], \"bitstrings\": [\"0010000110001100\", \"0010000110000100\"], \"total_optimization_steps\": 110, \"probabilities\": [0.03402201073078318, 0.05052023186355664], \"optimization_time\": 135.4623486995697}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.25 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(5)) + 0.25 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(0)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(0)) + 0.5 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(5)) + 0.5 * (Z(14) @ Z(6)) + 0.25 * (Z(14) @ Z(9)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.25 * (Z(15) @ Z(1)) + 0.25 * (Z(15) @ Z(2)) + 0.5 * (Z(15) @ Z(3)) + 0.25 * (Z(15) @ Z(4)) + 0.5 * (Z(15) @ Z(7)) + 0.25 * (Z(15) @ Z(8)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(12)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(15) @ Z(14)) + 2.75 * Z(1) + 3.0 * Z(0) + 2.25 * Z(2) + 2.0 * Z(3) + 2.75 * Z(4) + 2.5 * Z(5) + 2.5 * Z(6) + 2.25 * Z(7) + 2.25 * Z(8) + 2.5 * Z(9) + 2.5 * Z(10) + 2.75 * Z(11) + 2.0 * Z(12) + 2.25 * Z(13) + 2.75 * Z(14) + 3.0 * Z(15)",18,16,3,"{\"smallest_eigenvalues\": [-19.999999999999897], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.999999999999854, \"smallest_bitstrings\": [\"0010000110000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nrx(1.0694) q[0];\nrz(-0.0056) q[0];\nrx(1.0676) q[1];\nrz(0.1481) q[1];\nrx(0.4799) q[2];\nrz(0.3062) q[2];\nrx(0.6533) q[3];\nrz(0.2615) q[3];\nrx(1.0658) q[4];\nrz(0.0178) q[4];\nrx(0.9745) q[5];\nrz(-0.0458) q[5];\nrx(1.0138) q[6];\nrz(-0.2524) q[6];\nrx(0.4848) q[7];\nrz(-0.2962) q[7];\nrx(0.4842) q[8];\nrz(0.2956) q[8];\nrx(0.9839) q[9];\nrz(0.2496) q[9];\nrx(0.9808) q[10];\nrz(0.0881) q[10];\nrx(1.0657) q[11];\nrz(0.0522) q[11];\nrx(0.6025) q[12];\nrz(0.2894) q[12];\nrx(0.4822) q[13];\nrz(0.3043) q[13];\nrx(1.0702) q[14];\nrz(-0.0033) q[14];\nrx(1.0699) q[15];\nrz(-0.0001) q[15];\ncrz(0.008) q[15], q[0];\ncrz(-0.0068) q[14], q[15];\ncrz(-0.138) q[13], q[14];\ncrz(0.3102) q[12], q[13];\ncrz(0.056) q[11], q[12];\ncrz(0.0499) q[10], q[11];\ncrz(0.1166) q[9], q[10];\ncrz(0.2937) q[8], q[9];\ncrz(0.3077) q[7], q[8];\ncrz(-0.2961) q[6], q[7];\ncrz(-0.1223) q[5], q[6];\ncrz(0.0632) q[4], q[5];\ncrz(-0.247) q[3], q[4];\ncrz(0.3126) q[2], q[3];\ncrz(0.2769) q[1], q[2];\ncrz(-0.0169) q[0], q[1];\nrx(1.0673) q[0];\nrz(-0.007) q[0];\nrx(1.0642) q[1];\nrz(0.1549) q[1];\nrx(0.4751) q[2];\nrz(0.3014) q[2];\nrx(0.6121) q[3];\nrz(0.2735) q[3];\nrx(1.0653) q[4];\nrz(-0.0327) q[4];\nrx(0.9664) q[5];\nrz(-0.0467) q[5];\nrx(1.0032) q[6];\nrz(-0.2636) q[6];\nrx(0.4775) q[7];\nrz(-0.2992) q[7];\nrx(0.4778) q[8];\nrz(0.2974) q[8];\nrx(0.9737) q[9];\nrz(0.2518) q[9];\nrx(0.9566) q[10];\nrz(0.0875) q[10];\nrx(1.0631) q[11];\nrz(-0.0036) q[11];\nrx(0.5693) q[12];\nrz(0.2897) q[12];\nrx(0.4799) q[13];\nrz(0.3023) q[13];\nrx(1.0665) q[14];\nrz(0.0026) q[14];\nrx(1.0647) q[15];\nrz(-0.0014) q[15];\ncrz(-0.0025) q[15], q[0];\ncrz(-0.0017) q[14], q[15];\ncrz(0.305) q[13], q[14];\ncrz(0.3035) q[12], q[13];\ncrz(0.1098) q[11], q[12];\ncrz(-0.0091) q[10], q[11];\ncrz(0.1677) q[9], q[10];\ncrz(0.2967) q[8], q[9];\ncrz(0.3087) q[7], q[8];\ncrz(-0.2997) q[6], q[7];\ncrz(-0.1416) q[5], q[6];\ncrz(0.0033) q[4], q[5];\ncrz(0.1586) q[3], q[4];\ncrz(0.3085) q[2], q[3];\ncrz(0.2985) q[1], q[2];\ncrz(0.0188) q[0], q[1];\nrx(1.0651) q[0];\nrz(0.0098) q[0];\nrx(1.0577) q[1];\nrz(0.0074) q[1];\nrx(0.4751) q[2];\nrz(0.0028) q[2];\nrx(0.6128) q[3];\nrz(0.003) q[3];\nrx(1.0656) q[4];\nrz(0.0032) q[4];\nrx(0.9679) q[5];\nrz(0.0006) q[5];\nrx(1.0044) q[6];\nrz(0.0057) q[6];\nrx(0.4794) q[7];\nrz(0.0052) q[7];\nrx(0.4773) q[8];\nrz(0.0058) q[8];\nrx(0.9826) q[9];\nrz(0.0032) q[9];\nrx(0.9736) q[10];\nrz(0.0013) q[10];\nrx(1.0681) q[11];\nrz(0.0029) q[11];\nrx(0.5717) q[12];\nrz(0.0059) q[12];\nrx(0.4767) q[13];\nrz(0.0083) q[13];\nrx(1.0602) q[14];\nrz(0.0068) q[14];\nrx(1.0664) q[15];\nrz(0.0074) q[15];\ncrz(0.0059) q[15], q[0];\ncrz(0.0015) q[14], q[15];\ncrz(0.01) q[13], q[14];\ncrz(0.0071) q[12], q[13];\ncrz(0.0092) q[11], q[12];\ncrz(0.001) q[10], q[11];\ncrz(0.007) q[9], q[10];\ncrz(0.0081) q[8], q[9];\ncrz(0.0089) q[7], q[8];\ncrz(0.0044) q[6], q[7];\ncrz(0.0037) q[5], q[6];\ncrz(0.009) q[4], q[5];\ncrz(0.0043) q[3], q[4];\ncrz(0.0065) q[2], q[3];\ncrz(0.0065) q[1], q[2];\ncrz(0.0057) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[16] c;\nqubit[16] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\nrx(x24) q[12];\nrz(x25) q[12];\nrx(x26) q[13];\nrz(x27) q[13];\nrx(x28) q[14];\nrz(x29) q[14];\nrx(x30) q[15];\nrz(x31) q[15];\ncrz(x32) q[15], q[0];\ncrz(x33) q[14], q[15];\ncrz(x34) q[13], q[14];\ncrz(x35) q[12], q[13];\ncrz(x36) q[11], q[12];\ncrz(x37) q[10], q[11];\ncrz(x38) q[9], q[10];\ncrz(x39) q[8], q[9];\ncrz(x40) q[7], q[8];\ncrz(x41) q[6], q[7];\ncrz(x42) q[5], q[6];\ncrz(x43) q[4], q[5];\ncrz(x44) q[3], q[4];\ncrz(x45) q[2], q[3];\ncrz(x46) q[1], q[2];\ncrz(x47) q[0], q[1];\nrx(x48) q[0];\nrz(x49) q[0];\nrx(x50) q[1];\nrz(x51) q[1];\nrx(x52) q[2];\nrz(x53) q[2];\nrx(x54) q[3];\nrz(x55) q[3];\nrx(x56) q[4];\nrz(x57) q[4];\nrx(x58) q[5];\nrz(x59) q[5];\nrx(x60) q[6];\nrz(x61) q[6];\nrx(x62) q[7];\nrz(x63) q[7];\nrx(x64) q[8];\nrz(x65) q[8];\nrx(x66) q[9];\nrz(x67) q[9];\nrx(x68) q[10];\nrz(x69) q[10];\nrx(x70) q[11];\nrz(x71) q[11];\nrx(x72) q[12];\nrz(x73) q[12];\nrx(x4) q[13];\nrz(x74) q[13];\nrx(x75) q[14];\nrz(x76) q[14];\nrx(x77) q[15];\nrz(x78) q[15];\ncrz(x79) q[15], q[0];\ncrz(x80) q[14], q[15];\ncrz(x81) q[13], q[14];\ncrz(x82) q[12], q[13];\ncrz(x83) q[11], q[12];\ncrz(x84) q[10], q[11];\ncrz(x85) q[9], q[10];\ncrz(x86) q[8], q[9];\ncrz(x87) q[7], q[8];\ncrz(x88) q[6], q[7];\ncrz(x89) q[5], q[6];\ncrz(x90) q[4], q[5];\ncrz(x91) q[3], q[4];\ncrz(x92) q[2], q[3];\ncrz(x93) q[1], q[2];\ncrz(x94) q[0], q[1];\nrx(x95) q[0];\nrz(x96) q[0];\nrx(x97) q[1];\nrz(x98) q[1];\nrx(x52) q[2];\nrz(x99) q[2];\nrx(x100) q[3];\nrz(x101) q[3];\nrx(x102) q[4];\nrz(x103) q[4];\nrx(x104) q[5];\nrz(x105) q[5];\nrx(x106) q[6];\nrz(x107) q[6];\nrx(x108) q[7];\nrz(x109) q[7];\nrx(x110) q[8];\nrz(x111) q[8];\nrx(x112) q[9];\nrz(x103) q[9];\nrx(x113) q[10];\nrz(x114) q[10];\nrx(x115) q[11];\nrz(x116) q[11];\nrx(x117) q[12];\nrz(x118) q[12];\nrx(x119) q[13];\nrz(x120) q[13];\nrx(x121) q[14];\nrz(x122) q[14];\nrx(x123) q[15];\nrz(x98) q[15];\ncrz(x118) q[15], q[0];\ncrz(x124) q[14], q[15];\ncrz(x125) q[13], q[14];\ncrz(x126) q[12], q[13];\ncrz(x127) q[11], q[12];\ncrz(x128) q[10], q[11];\ncrz(x129) q[9], q[10];\ncrz(x130) q[8], q[9];\ncrz(x131) q[7], q[8];\ncrz(x132) q[6], q[7];\ncrz(x133) q[5], q[6];\ncrz(x134) q[4], q[5];\ncrz(x135) q[3], q[4];\ncrz(x136) q[2], q[3];\ncrz(x136) q[1], q[2];\ncrz(x107) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}]}}","{\"circuits\": [], \"gradients\": []}"]
["d32bae70887cbda0fd64e6ae105154d4","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 6}, {\"weight\": 18, \"source\": 1, \"target\": 3}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 16, \"source\": 3, \"target\": 5}, {\"weight\": 15, \"source\": 3, \"target\": 4}, {\"weight\": 20, \"source\": 3, \"target\": 7}, {\"weight\": 2, \"source\": 4, \"target\": 5}, {\"weight\": 9, \"source\": 6, \"target\": 7}]}","{\"states\": [221, 220], \"expectation_value\": -21.16211287772591, \"params\": [[0.0267, 0.0015, -0.0082], [-0.0482, -0.043300000000000005, -0.0256]], \"bitstrings\": [\"100100010\", \"100100011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004444381222364073, 0.005446515361302744], \"optimization_time\": 7.660061359405518}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 6.5 * Z(1) + 3.5 * Z(0) + 22.5 * Z(2) + 13.0 * Z(3) + 21.0 * Z(4) + 23.5 * Z(6) + 21.5 * Z(5) + 1.0 * Z(7) + 4.5 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-91.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -82.0, \"smallest_bitstrings\": [\"100100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.2403) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.2403) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(0.2403) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(0.2403) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.2403) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(0.2403) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.2403) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.2403) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(0.2403) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.2403) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.2403) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.2403) q[5];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(0.2403) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.2403) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(0.2403) q[8];\ncx q[1], q[8];\ncx q[6], q[8];\nrz(0.2403) q[8];\ncx q[6], q[8];\nrz(0.3471) q[1];\nrz(0.1869) q[0];\nrz(1.2015) q[2];\nrz(0.6942) q[3];\nrz(1.1214) q[4];\nrz(1.2549) q[6];\nrz(1.1481) q[5];\nrz(0.0534) q[7];\nrz(0.2403) q[8];\nh q[0];\nrz(-0.0964) q[0];\nh q[0];\nh q[1];\nrz(-0.0964) q[1];\nh q[1];\nh q[2];\nrz(-0.0964) q[2];\nh q[2];\nh q[3];\nrz(-0.0964) q[3];\nh q[3];\nh q[4];\nrz(-0.0964) q[4];\nh q[4];\nh q[5];\nrz(-0.0964) q[5];\nh q[5];\nh q[6];\nrz(-0.0964) q[6];\nh q[6];\nh q[7];\nrz(-0.0964) q[7];\nh q[7];\nh q[8];\nrz(-0.0964) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0135) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0135) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(0.0135) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(0.0135) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0135) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(0.0135) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0135) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0135) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(0.0135) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0135) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0135) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0135) q[5];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(0.0135) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0135) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(0.0135) q[8];\ncx q[1], q[8];\ncx q[6], q[8];\nrz(0.0135) q[8];\ncx q[6], q[8];\nrz(0.0195) q[1];\nrz(0.0105) q[0];\nrz(0.0675) q[2];\nrz(0.039) q[3];\nrz(0.063) q[4];\nrz(0.0705) q[6];\nrz(0.0645) q[5];\nrz(0.003) q[7];\nrz(0.0135) q[8];\nh q[0];\nrz(-0.0866) q[0];\nh q[0];\nh q[1];\nrz(-0.0866) q[1];\nh q[1];\nh q[2];\nrz(-0.0866) q[2];\nh q[2];\nh q[3];\nrz(-0.0866) q[3];\nh q[3];\nh q[4];\nrz(-0.0866) q[4];\nh q[4];\nh q[5];\nrz(-0.0866) q[5];\nh q[5];\nh q[6];\nrz(-0.0866) q[6];\nh q[6];\nh q[7];\nrz(-0.0866) q[7];\nh q[7];\nh q[8];\nrz(-0.0866) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.0738) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0738) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(-0.0738) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.0738) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0738) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(-0.0738) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.0738) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0738) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(-0.0738) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0738) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0738) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(-0.0738) q[5];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(-0.0738) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.0738) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(-0.0738) q[8];\ncx q[1], q[8];\ncx q[6], q[8];\nrz(-0.0738) q[8];\ncx q[6], q[8];\nrz(-0.1066) q[1];\nrz(-0.0574) q[0];\nrz(-0.369) q[2];\nrz(-0.2132) q[3];\nrz(-0.3444) q[4];\nrz(-0.3854) q[6];\nrz(-0.3526) q[5];\nrz(-0.0164) q[7];\nrz(-0.0738) q[8];\nh q[0];\nrz(-0.0512) q[0];\nh q[0];\nh q[1];\nrz(-0.0512) q[1];\nh q[1];\nh q[2];\nrz(-0.0512) q[2];\nh q[2];\nh q[3];\nrz(-0.0512) q[3];\nh q[3];\nh q[4];\nrz(-0.0512) q[4];\nh q[4];\nh q[5];\nrz(-0.0512) q[5];\nh q[5];\nh q[6];\nrz(-0.0512) q[6];\nh q[6];\nh q[7];\nrz(-0.0512) q[7];\nh q[7];\nh q[8];\nrz(-0.0512) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[6];\nrz(x7) q[5];\nrz(x8) q[7];\nrz(x0) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(x10) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(x10) q[8];\ncx q[1], q[8];\ncx q[6], q[8];\nrz(x10) q[8];\ncx q[6], q[8];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[6];\nrz(x17) q[5];\nrz(x18) q[7];\nrz(x10) q[8];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nh q[8];\nrz(x19) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x20) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x20) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(x20) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x20) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x20) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x20) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x20) q[5];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(x20) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(x20) q[8];\ncx q[1], q[8];\ncx q[6], q[8];\nrz(x20) q[8];\ncx q[6], q[8];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[6];\nrz(x27) q[5];\nrz(x28) q[7];\nrz(x20) q[8];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nh q[8];\nrz(x29) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["834390fba4c480def6c6a26217d7a9af","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 2}]}","{\"states\": [1, 33], \"expectation_value\": -9.6510394803577, \"params\": [[[0.0043, 0.5553], [-0.5877, 0.0012000000000000001], [0.0019, 0.7539], [0.0044, 0.7383000000000001], [0.0021000000000000003, 0.7146], [0.0026000000000000003, 0.7412000000000001], [0.9967, -0.0005]], [[0.0018000000000000002, 0.6648000000000001], [-0.5888, 0.0012000000000000001], [0.0036000000000000003, 0.7541], [0.0002, 0.6535000000000001], [0.0038, 0.7376], [0.0034000000000000002, 0.7501], [1.0016, 0.0013000000000000002]], [[0.0041, 0.009000000000000001], [-0.5873, 0.0088], [0.0019, 0.0099], [0.0046, 0.0036000000000000003], [0.0022, 0.0038], [0.0026000000000000003, 0.0026000000000000003], [0.999, 0.0068000000000000005]]], \"bitstrings\": [\"1111110\", \"1011110\"], \"total_optimization_steps\": 100, \"probabilities\": [0.4019811730047732, 0.5927596130710978], \"optimization_time\": 5.404049873352051}","-0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z(6) + 1.5 * Z(1)",1,7,3,"{\"smallest_eigenvalues\": [-10.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.5, \"smallest_bitstrings\": [\"1011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0043) q[0];\nrz(0.5553) q[0];\nrx(-0.5877) q[1];\nrz(0.0012) q[1];\nrx(0.0019) q[2];\nrz(0.7539) q[2];\nrx(0.0044) q[3];\nrz(0.7383) q[3];\nrx(0.0021) q[4];\nrz(0.7146) q[4];\nrx(0.0026) q[5];\nrz(0.7412) q[5];\nrx(0.9967) q[6];\nrz(-0.0005) q[6];\nrx(0.0018) q[0];\nrz(0.6648) q[0];\nrx(-0.5888) q[1];\nrz(0.0012) q[1];\nrx(0.0036) q[2];\nrz(0.7541) q[2];\nrx(0.0002) q[3];\nrz(0.6535) q[3];\nrx(0.0038) q[4];\nrz(0.7376) q[4];\nrx(0.0034) q[5];\nrz(0.7501) q[5];\nrx(1.0016) q[6];\nrz(0.0013) q[6];\nrx(0.0041) q[0];\nrz(0.009) q[0];\nrx(-0.5873) q[1];\nrz(0.0088) q[1];\nrx(0.0019) q[2];\nrz(0.0099) q[2];\nrx(0.0046) q[3];\nrz(0.0036) q[3];\nrx(0.0022) q[4];\nrz(0.0038) q[4];\nrx(0.0026) q[5];\nrz(0.0026) q[5];\nrx(0.999) q[6];\nrz(0.0068) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[0];\nrz(x15) q[0];\nrx(x16) q[1];\nrz(x3) q[1];\nrx(x17) q[2];\nrz(x18) q[2];\nrx(x19) q[3];\nrz(x20) q[3];\nrx(x21) q[4];\nrz(x22) q[4];\nrx(x23) q[5];\nrz(x24) q[5];\nrx(x25) q[6];\nrz(x26) q[6];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x4) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x17) q[3];\nrx(x33) q[4];\nrz(x21) q[4];\nrx(x10) q[5];\nrz(x10) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["2811d61d5f2af44ed340d40c20ed9351","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 6}]}","{\"states\": [1977, 1721], \"expectation_value\": -3.137402688423822, \"params\": [[[0.7602, -0.0002, 0.0007, 0.0068000000000000005], [0.21180000000000002, 0.0102, 0.7804, 0.007500000000000001], [-0.15430000000000002, -0.006200000000000001, 0.0049, -0.0066], [0.5182, -0.0235, 0.5038, 0.0002], [0.012400000000000001, 0.013000000000000001, 0.0021000000000000003, 0.0082], [0.5636, 0.0076, 0.5737, 0.0088], [-0.1555, -0.0016, 0.008400000000000001, -0.007], [0.5792, -0.0031000000000000003, 0.6144000000000001, 0.008], [-0.0024000000000000002, -0.0716, 0.0037, -0.0678], [-0.0002, -0.5911000000000001, 0.0025, 0.004200000000000001], [0.7806000000000001, -0.004, 0.0041, 0.0055000000000000005]], [[0.877, 0.002, 0.006200000000000001, 0.0013000000000000002], [0.7767000000000001, 0.0131, -0.0233, 0.0021000000000000003], [0.28250000000000003, 0.0758, 0.0029000000000000002, 0.07590000000000001], [0.4953, 0.0176, 0.22210000000000002, 0.0092], [-0.030600000000000002, -0.0041, 0.0006000000000000001, -0.0057], [0.38920000000000005, 0.0106, 0.3347, 0.0009000000000000001], [0.4793, 0.0022, 0.0007, -0.0017000000000000001], [0.6143000000000001, 0.0188, 0.184, 0.0017000000000000001], [0.002, -0.10200000000000001, 0.005200000000000001, -0.10890000000000001], [0.0036000000000000003, -0.5936, 0.0026000000000000003, 0.009300000000000001], [0.787, -0.0028, 0.0035, 0.0008]], [[-0.34640000000000004, -0.0014, 0.0046, 0.0039000000000000003], [0.1129, 0.0049, 0.2928, 0.0001], [0.47290000000000004, 0.1351, 0.0015, 0.135], [0.22, 0.0507, 0.1897, 0.006200000000000001], [-0.07730000000000001, 0.005200000000000001, 0.0059, 0.0067], [0.098, -0.0201, 0.1363, 0.0095], [0.6459, 0.0006000000000000001, 0.004200000000000001, 0.002], [0.1885, -0.020800000000000003, 0.1189, 0.0013000000000000002], [0.017400000000000002, -0.1337, 0.0048000000000000004, -0.12860000000000002], [0.0058000000000000005, -0.5890000000000001, 0.0002, 0.0022], [0.7767000000000001, 0.0122, 0.0064, 0.0]], [[0.8853000000000001, 0.0023, 0.0078000000000000005, 0.004], [0.21230000000000002, -0.030600000000000002, 0.034300000000000004, 0.0043], [0.6599, 0.0023, 0.0018000000000000002, 0.0098], [0.163, 0.0971, -0.0088, 0.00030000000000000003], [0.0896, 0.007200000000000001, 0.0045000000000000005, 0.0094], [0.0762, -0.068, 0.0363, 0.0001], [0.8320000000000001, 0.0001, 0.0046, 0.0021000000000000003], [0.12810000000000002, 0.034, -0.0383, 0.0078000000000000005], [0.0041, 0.0064, 0.0041, 0.0044], [0.0007, -0.5817, 0.0023, 0.0004], [0.7826000000000001, 0.005, 0.0049, 0.0035]]], \"bitstrings\": [\"00001000110\", \"00101000110\"], \"total_optimization_steps\": 90, \"probabilities\": [0.2180748715740705, 0.4146944337833804], \"optimization_time\": 26.507257223129272}","0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0625 * (Z(1) @ Z(3) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(4) @ Z(1) @ Z(3)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) + 0.0625 * (Z(6) @ Z(8)) + 0.0625 * (Z(7) @ Z(8)) + -0.0625 * (Z(0) @ Z(5) @ Z(6)) + -0.0625 * (Z(0) @ Z(5) @ Z(7)) + -0.0625 * (Z(0) @ Z(5) @ Z(8)) + -0.0625 * (Z(0) @ Z(6) @ Z(7)) + -0.0625 * (Z(0) @ Z(6) @ Z(8)) + -0.0625 * (Z(0) @ Z(7) @ Z(8)) + -0.0625 * (Z(5) @ Z(6) @ Z(7)) + -0.0625 * (Z(5) @ Z(6) @ Z(8)) + -0.0625 * (Z(5) @ Z(7) @ Z(8)) + -0.0625 * (Z(6) @ Z(7) @ Z(8)) + 0.0625 * (Z(0) @ Z(5) @ Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(5) @ Z(6) @ Z(8)) + 0.0625 * (Z(0) @ Z(5) @ Z(7) @ Z(8)) + 0.0625 * (Z(0) @ Z(6) @ Z(7) @ Z(8)) + 0.0625 * (Z(5) @ Z(6) @ Z(7) @ Z(8)) + -0.0625 * (Z(0) @ Z(5) @ Z(8) @ Z(7) @ Z(6)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(1) @ Z(9)) + 0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(1) @ Z(5) @ Z(9)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(10)) + 0.25 * (Z(6) @ Z(10)) + -0.25 * (Z(2) @ Z(6) @ Z(10)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(10) @ Z(4)) + 0.375 * Z(0) + 0.1875 * Z(1) + 0.1875 * Z(2) + -0.0625 * Z(3) + -0.0625 * Z(4) + 0.1875 * Z(5) + 0.1875 * Z(6) + -0.0625 * Z(7) + -0.0625 * Z(8) + -0.25 * Z(9) + -0.25 * Z(10)",12,11,4,"{\"smallest_eigenvalues\": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], \"number_of_smallest_eigenvalues\": 15, \"first_excited_energy\": -2.625, \"smallest_bitstrings\": [\"00010000111\", \"00010101001\", \"00001010110\", \"01000001101\", \"00101000110\", \"00100000111\", \"01000000111\", \"01010001001\", \"00010100011\", \"10010000011\", \"10000000111\", \"00011010010\", \"00010010011\", \"00010001011\", \"00001000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.7602) q[0];\nrz(-0.0002) q[0];\nry(0.2118) q[1];\nrz(0.0102) q[1];\nry(-0.1543) q[2];\nrz(-0.0062) q[2];\nry(0.5182) q[3];\nrz(-0.0235) q[3];\nry(0.0124) q[4];\nrz(0.013) q[4];\nry(0.5636) q[5];\nrz(0.0076) q[5];\nry(-0.1555) q[6];\nrz(-0.0016) q[6];\nry(0.5792) q[7];\nrz(-0.0031) q[7];\nry(-0.0024) q[8];\nrz(-0.0716) q[8];\nry(-0.0002) q[9];\nrz(-0.5911) q[9];\nry(0.7806) q[10];\nrz(-0.004) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(0.7804) q[1];\nry(0.7804) q[1];\nrz(-0.0066) q[2];\nrz(-0.0066) q[2];\ncz q[2], q[1];\nry(0.5038) q[3];\nry(0.5038) q[3];\nrz(0.0082) q[4];\nrz(0.0082) q[4];\ncz q[4], q[3];\nry(0.5737) q[5];\nry(0.5737) q[5];\nrz(-0.007) q[6];\nrz(-0.007) q[6];\ncz q[6], q[5];\nry(0.6144) q[7];\nry(0.6144) q[7];\nrz(-0.0678) q[8];\nrz(-0.0678) q[8];\ncz q[8], q[7];\nry(0.0025) q[9];\nry(0.0025) q[9];\ncz q[10], q[9];\nry(0.877) q[0];\nrz(0.002) q[0];\nry(0.7767) q[1];\nrz(0.0131) q[1];\nry(0.2825) q[2];\nrz(0.0758) q[2];\nry(0.4953) q[3];\nrz(0.0176) q[3];\nry(-0.0306) q[4];\nrz(-0.0041) q[4];\nry(0.3892) q[5];\nrz(0.0106) q[5];\nry(0.4793) q[6];\nrz(0.0022) q[6];\nry(0.6143) q[7];\nrz(0.0188) q[7];\nry(0.002) q[8];\nrz(-0.102) q[8];\nry(0.0036) q[9];\nrz(-0.5936) q[9];\nry(0.787) q[10];\nrz(-0.0028) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(-0.0233) q[1];\nry(-0.0233) q[1];\nrz(0.0759) q[2];\nrz(0.0759) q[2];\ncz q[2], q[1];\nry(0.2221) q[3];\nry(0.2221) q[3];\nrz(-0.0057) q[4];\nrz(-0.0057) q[4];\ncz q[4], q[3];\nry(0.3347) q[5];\nry(0.3347) q[5];\nrz(-0.0017) q[6];\nrz(-0.0017) q[6];\ncz q[6], q[5];\nry(0.184) q[7];\nry(0.184) q[7];\nrz(-0.1089) q[8];\nrz(-0.1089) q[8];\ncz q[8], q[7];\nry(0.0026) q[9];\nry(0.0026) q[9];\ncz q[10], q[9];\nry(-0.3464) q[0];\nrz(-0.0014) q[0];\nry(0.1129) q[1];\nrz(0.0049) q[1];\nry(0.4729) q[2];\nrz(0.1351) q[2];\nry(0.22) q[3];\nrz(0.0507) q[3];\nry(-0.0773) q[4];\nrz(0.0052) q[4];\nry(0.098) q[5];\nrz(-0.0201) q[5];\nry(0.6459) q[6];\nrz(0.0006) q[6];\nry(0.1885) q[7];\nrz(-0.0208) q[7];\nry(0.0174) q[8];\nrz(-0.1337) q[8];\nry(0.0058) q[9];\nrz(-0.589) q[9];\nry(0.7767) q[10];\nrz(0.0122) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(0.2928) q[1];\nry(0.2928) q[1];\nrz(0.135) q[2];\nrz(0.135) q[2];\ncz q[2], q[1];\nry(0.1897) q[3];\nry(0.1897) q[3];\nrz(0.0067) q[4];\nrz(0.0067) q[4];\ncz q[4], q[3];\nry(0.1363) q[5];\nry(0.1363) q[5];\nrz(0.002) q[6];\nrz(0.002) q[6];\ncz q[6], q[5];\nry(0.1189) q[7];\nry(0.1189) q[7];\nrz(-0.1286) q[8];\nrz(-0.1286) q[8];\ncz q[8], q[7];\nry(0.0002) q[9];\nry(0.0002) q[9];\ncz q[10], q[9];\nry(0.8853) q[0];\nrz(0.0023) q[0];\nry(0.2123) q[1];\nrz(-0.0306) q[1];\nry(0.6599) q[2];\nrz(0.0023) q[2];\nry(0.163) q[3];\nrz(0.0971) q[3];\nry(0.0896) q[4];\nrz(0.0072) q[4];\nry(0.0762) q[5];\nrz(-0.068) q[5];\nry(0.832) q[6];\nrz(0.0001) q[6];\nry(0.1281) q[7];\nrz(0.034) q[7];\nry(0.0041) q[8];\nrz(0.0064) q[8];\nry(0.0007) q[9];\nrz(-0.5817) q[9];\nry(0.7826) q[10];\nrz(0.005) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(0.0343) q[1];\nry(0.0343) q[1];\nrz(0.0098) q[2];\nrz(0.0098) q[2];\ncz q[2], q[1];\nry(-0.0088) q[3];\nry(-0.0088) q[3];\nrz(0.0094) q[4];\nrz(0.0094) q[4];\ncz q[4], q[3];\nry(0.0363) q[5];\nry(0.0363) q[5];\nrz(0.0021) q[6];\nrz(0.0021) q[6];\ncz q[6], q[5];\nry(-0.0383) q[7];\nry(-0.0383) q[7];\nrz(0.0044) q[8];\nrz(0.0044) q[8];\ncz q[8], q[7];\nry(0.0023) q[9];\nry(0.0023) q[9];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x1) q[9];\nrz(x18) q[9];\nry(x19) q[10];\nrz(x20) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x21) q[1];\nry(x21) q[1];\nrz(x22) q[2];\nrz(x22) q[2];\ncz q[2], q[1];\nry(x23) q[3];\nry(x23) q[3];\nrz(x24) q[4];\nrz(x24) q[4];\ncz q[4], q[3];\nry(x25) q[5];\nry(x25) q[5];\nrz(x26) q[6];\nrz(x26) q[6];\ncz q[6], q[5];\nry(x27) q[7];\nry(x27) q[7];\nrz(x28) q[8];\nrz(x28) q[8];\ncz q[8], q[7];\nry(x29) q[9];\nry(x29) q[9];\ncz q[10], q[9];\nry(x30) q[0];\nrz(x31) q[0];\nry(x32) q[1];\nrz(x33) q[1];\nry(x34) q[2];\nrz(x35) q[2];\nry(x36) q[3];\nrz(x37) q[3];\nry(x38) q[4];\nrz(x39) q[4];\nry(x40) q[5];\nrz(x41) q[5];\nry(x42) q[6];\nrz(x43) q[6];\nry(x44) q[7];\nrz(x45) q[7];\nry(x31) q[8];\nrz(x46) q[8];\nry(x47) q[9];\nrz(x48) q[9];\nry(x49) q[10];\nrz(x50) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x51) q[1];\nry(x51) q[1];\nrz(x52) q[2];\nrz(x52) q[2];\ncz q[2], q[1];\nry(x53) q[3];\nry(x53) q[3];\nrz(x54) q[4];\nrz(x54) q[4];\ncz q[4], q[3];\nry(x55) q[5];\nry(x55) q[5];\nrz(x56) q[6];\nrz(x56) q[6];\ncz q[6], q[5];\nry(x57) q[7];\nry(x57) q[7];\nrz(x58) q[8];\nrz(x58) q[8];\ncz q[8], q[7];\nry(x59) q[9];\nry(x59) q[9];\ncz q[10], q[9];\nry(x60) q[0];\nrz(x61) q[0];\nry(x62) q[1];\nrz(x63) q[1];\nry(x64) q[2];\nrz(x65) q[2];\nry(x66) q[3];\nrz(x67) q[3];\nry(x68) q[4];\nrz(x69) q[4];\nry(x70) q[5];\nrz(x71) q[5];\nry(x72) q[6];\nrz(x73) q[6];\nry(x74) q[7];\nrz(x75) q[7];\nry(x76) q[8];\nrz(x77) q[8];\nry(x78) q[9];\nrz(x79) q[9];\nry(x32) q[10];\nrz(x80) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x81) q[1];\nry(x81) q[1];\nrz(x82) q[2];\nrz(x82) q[2];\ncz q[2], q[1];\nry(x83) q[3];\nry(x83) q[3];\nrz(x84) q[4];\nrz(x84) q[4];\ncz q[4], q[3];\nry(x85) q[5];\nry(x85) q[5];\nrz(x31) q[6];\nrz(x31) q[6];\ncz q[6], q[5];\nry(x86) q[7];\nry(x86) q[7];\nrz(x87) q[8];\nrz(x87) q[8];\ncz q[8], q[7];\nry(x88) q[9];\nry(x88) q[9];\ncz q[10], q[9];\nry(x89) q[0];\nrz(x90) q[0];\nry(x91) q[1];\nrz(x38) q[1];\nry(x92) q[2];\nrz(x90) q[2];\nry(x93) q[3];\nrz(x94) q[3];\nry(x95) q[4];\nrz(x96) q[4];\nry(x97) q[5];\nrz(x98) q[5];\nry(x99) q[6];\nrz(x100) q[6];\nry(x101) q[7];\nrz(x102) q[7];\nry(x103) q[8];\nrz(x104) q[8];\nry(x105) q[9];\nrz(x106) q[9];\nry(x107) q[10];\nrz(x108) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x109) q[1];\nry(x109) q[1];\nrz(x110) q[2];\nrz(x110) q[2];\ncz q[2], q[1];\nry(x111) q[3];\nry(x111) q[3];\nrz(x112) q[4];\nrz(x112) q[4];\ncz q[4], q[3];\nry(x113) q[5];\nry(x113) q[5];\nrz(x114) q[6];\nrz(x114) q[6];\ncz q[6], q[5];\nry(x115) q[7];\nry(x115) q[7];\nrz(x116) q[8];\nrz(x116) q[8];\ncz q[8], q[7];\nry(x90) q[9];\nry(x90) q[9];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["20a8103f07dd8a24047f028e6edcf2b9","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 2}, {\"weight\": 14, \"source\": 1, \"target\": 3}, {\"weight\": 14, \"source\": 1, \"target\": 4}, {\"weight\": 15, \"source\": 1, \"target\": 5}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 2, \"target\": 4}, {\"weight\": 10, \"source\": 4, \"target\": 5}]}","{\"states\": [158, 122], \"expectation_value\": -20.152871797571386, \"params\": [[-0.0053, 0.0223, 0.0146, 0.0053], [0.0095, -0.0403, -0.0528, -0.049800000000000004]], \"bitstrings\": [\"01100001\", \"10000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009624197774114648, 0.01166540696974978], \"optimization_time\": 7.340947151184082}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 12.0 * Z(0) + 15.0 * Z(2) + 19.0 * Z(3) + 15.5 * Z(4) + 6.0 * Z(5) + 13.5 * Z(6) + 9.0 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-67.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -61.5, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.0424) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0424) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0424) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0424) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.0424) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0424) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0424) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0424) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0424) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(-0.0424) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(-0.0424) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.0424) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.0424) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0424) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0424) q[7];\ncx q[6], q[7];\nrz(-0.1219) q[1];\nrz(-0.1272) q[0];\nrz(-0.159) q[2];\nrz(-0.2014) q[3];\nrz(-0.1643) q[4];\nrz(-0.0636) q[5];\nrz(-0.1431) q[6];\nrz(-0.0954) q[7];\nh q[0];\nrz(0.019) q[0];\nh q[0];\nh q[1];\nrz(0.019) q[1];\nh q[1];\nh q[2];\nrz(0.019) q[2];\nh q[2];\nh q[3];\nrz(0.019) q[3];\nh q[3];\nh q[4];\nrz(0.019) q[4];\nh q[4];\nh q[5];\nrz(0.019) q[5];\nh q[5];\nh q[6];\nrz(0.019) q[6];\nh q[6];\nh q[7];\nrz(0.019) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1784) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.1784) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.1784) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.1784) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.1784) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.1784) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.1784) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.1784) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.1784) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(0.1784) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.1784) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.1784) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(0.1784) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.1784) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.1784) q[7];\ncx q[6], q[7];\nrz(0.5129) q[1];\nrz(0.5352) q[0];\nrz(0.669) q[2];\nrz(0.8474) q[3];\nrz(0.6913) q[4];\nrz(0.2676) q[5];\nrz(0.6021) q[6];\nrz(0.4014) q[7];\nh q[0];\nrz(-0.0806) q[0];\nh q[0];\nh q[1];\nrz(-0.0806) q[1];\nh q[1];\nh q[2];\nrz(-0.0806) q[2];\nh q[2];\nh q[3];\nrz(-0.0806) q[3];\nh q[3];\nh q[4];\nrz(-0.0806) q[4];\nh q[4];\nh q[5];\nrz(-0.0806) q[5];\nh q[5];\nh q[6];\nrz(-0.0806) q[6];\nh q[6];\nh q[7];\nrz(-0.0806) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1168) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.1168) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.1168) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.1168) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.1168) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.1168) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.1168) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.1168) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.1168) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(0.1168) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.1168) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.1168) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(0.1168) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.1168) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.1168) q[7];\ncx q[6], q[7];\nrz(0.3358) q[1];\nrz(0.3504) q[0];\nrz(0.438) q[2];\nrz(0.5548) q[3];\nrz(0.4526) q[4];\nrz(0.1752) q[5];\nrz(0.3942) q[6];\nrz(0.2628) q[7];\nh q[0];\nrz(-0.1056) q[0];\nh q[0];\nh q[1];\nrz(-0.1056) q[1];\nh q[1];\nh q[2];\nrz(-0.1056) q[2];\nh q[2];\nh q[3];\nrz(-0.1056) q[3];\nh q[3];\nh q[4];\nrz(-0.1056) q[4];\nh q[4];\nh q[5];\nrz(-0.1056) q[5];\nh q[5];\nh q[6];\nrz(-0.1056) q[6];\nh q[6];\nh q[7];\nrz(-0.1056) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0424) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0424) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0424) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0424) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.0424) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0424) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0424) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0424) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0424) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(0.0424) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.0424) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0424) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(0.0424) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.0424) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0424) q[7];\ncx q[6], q[7];\nrz(0.1219) q[1];\nrz(0.1272) q[0];\nrz(0.159) q[2];\nrz(0.2014) q[3];\nrz(0.1643) q[4];\nrz(0.0636) q[5];\nrz(0.1431) q[6];\nrz(0.0954) q[7];\nh q[0];\nrz(-0.0996) q[0];\nh q[0];\nh q[1];\nrz(-0.0996) q[1];\nh q[1];\nh q[2];\nrz(-0.0996) q[2];\nh q[2];\nh q[3];\nrz(-0.0996) q[3];\nh q[3];\nh q[4];\nrz(-0.0996) q[4];\nh q[4];\nh q[5];\nrz(-0.0996) q[5];\nh q[5];\nh q[6];\nrz(-0.0996) q[6];\nh q[6];\nh q[7];\nrz(-0.0996) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x10) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x10) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x20) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x20) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x20) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x20) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x20) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x20) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x20) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x20) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x30) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x30) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x30) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x30) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x30) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x30) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x30) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x30) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x30) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x30) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x30) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x30) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x30) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x30) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x30) q[7];\ncx q[6], q[7];\nrz(x31) q[1];\nrz(x32) q[0];\nrz(x33) q[2];\nrz(x34) q[3];\nrz(x35) q[4];\nrz(x36) q[5];\nrz(x37) q[6];\nrz(x38) q[7];\nh q[0];\nrz(x39) q[0];\nh q[0];\nh q[1];\nrz(x39) q[1];\nh q[1];\nh q[2];\nrz(x39) q[2];\nh q[2];\nh q[3];\nrz(x39) q[3];\nh q[3];\nh q[4];\nrz(x39) q[4];\nh q[4];\nh q[5];\nrz(x39) q[5];\nh q[5];\nh q[6];\nrz(x39) q[6];\nh q[6];\nh q[7];\nrz(x39) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["a4887282391b847c36275b441eb6d545","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [0, 20], \"expectation_value\": -5.499864653365336, \"params\": null, \"bitstrings\": [\"111111\", \"101011\"], \"total_optimization_steps\": 19, \"probabilities\": [1.9001409475734576e-05, 0.9999182925217276], \"optimization_time\": 16.501189470291138}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5)",1,6,3,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"111100\", \"101011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nry(-1.5708) q[2];\nry(-1.4449) q[4];\nry(-1.4449) q[5];\nry(1.4384) q[3];\nry(1.4384) q[1];\ncry(-0.1259) q[3], q[4];\ncry(-0.1259) q[3], q[5];\ncry(0.1248) q[3], q[1];\ncry(0.1242) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5708) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[5];\\nry(1.4384) q[3];\\nry(1.4384) q[1];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[5];\\ncry(0.1248) q[3], q[1];\\ncry(0.1242) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [2.0127, 1.508, 0.5033, 0.502, 0.4921, 0.4918, 0.19, 0.19, 0.0652, 0.0651, 0.0045, 0.0045, 0.0045, 0.0045, 0.003, 0.003, 0.003, 0.003, 0.003]}"]
["6abfcea40fcfb2aee6e60541a981751a","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 6, \"target\": 2}, {\"capacity\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [91, 127], \"expectation_value\": -0.018866055530989245, \"params\": [[-0.044500000000000005], [0.0534]], \"bitstrings\": [\"10100100\", \"10000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004055758613021563, 0.004074256300394301], \"optimization_time\": 1.4531192779541016}","0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4)",1,8,1,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"10000000\", \"10100100\", \"10000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[0];\nrz(-0.0223) q[0];\ncx q[7], q[0];\ncx q[7], q[6];\nrz(0.0223) q[6];\ncx q[7], q[6];\ncx q[6], q[1];\nrz(0.0445) q[1];\ncx q[6], q[1];\ncx q[6], q[2];\nrz(0.0223) q[2];\ncx q[6], q[2];\ncx q[2], q[5];\nrz(0.0223) q[5];\ncx q[2], q[5];\ncx q[6], q[3];\nrz(0.0223) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(0.0223) q[4];\ncx q[6], q[4];\nrz(0) q[7];\nrz(0.0223) q[0];\nrz(0.0445) q[6];\nrz(-0.0445) q[1];\nrz(0) q[2];\nrz(0.0223) q[5];\nrz(-0.0223) q[3];\nrz(-0.0223) q[4];\nh q[0];\nrz(0.1068) q[0];\nh q[0];\nh q[1];\nrz(0.1068) q[1];\nh q[1];\nh q[2];\nrz(0.1068) q[2];\nh q[2];\nh q[3];\nrz(0.1068) q[3];\nh q[3];\nh q[4];\nrz(0.1068) q[4];\nh q[4];\nh q[5];\nrz(0.1068) q[5];\nh q[5];\nh q[6];\nrz(0.1068) q[6];\nh q[6];\nh q[7];\nrz(0.1068) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[0];\nrz(x0) q[0];\ncx q[7], q[0];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[6], q[1];\nrz(x2) q[1];\ncx q[6], q[1];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\nrz(x3) q[7];\nrz(x1) q[0];\nrz(x2) q[6];\nrz(x4) q[1];\nrz(x3) q[2];\nrz(x1) q[5];\nrz(x0) q[3];\nrz(x0) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["59c7593c47cfd4ca2ab0ec4e9d99b357","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 6}, {\"capacity\": 6, \"source\": 0, \"target\": 7}, {\"capacity\": 6, \"source\": 1, \"target\": 4}, {\"capacity\": 6, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 5, \"source\": 2, \"target\": 3}, {\"capacity\": 6, \"source\": 2, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 5, \"source\": 3, \"target\": 7}, {\"capacity\": 5, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 6, \"source\": 5, \"target\": 3}, {\"capacity\": 5, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 5, \"source\": 6, \"target\": 4}, {\"capacity\": 3, \"source\": 6, \"target\": 5}, {\"capacity\": 4, \"source\": 6, \"target\": 7}]}","{\"states\": [128, 127], \"expectation_value\": -19.276434716802537, \"params\": [[[0.0019, -0.0112], [0.00030000000000000003, 0.0019], [-0.0022, 0.0028], [-0.0012000000000000001, -0.0028], [0.0071, 0.0029000000000000002], [0.0078000000000000005, 0.0025], [0.0048000000000000004, -0.0009000000000000001], [1.6715, 0.0059]], [[-0.0179, 1.5783], [0.0045000000000000005, 0.0164], [0.0074, 0.0019], [0.0063, 0.0018000000000000002], [-0.0022, 0.0021000000000000003], [-0.004200000000000001, 0.0018000000000000002], [-0.013900000000000001, 0.0019], [-0.0085, 0.002]]], \"bitstrings\": [\"01111111\", \"10000000\"], \"total_optimization_steps\": 180, \"probabilities\": [0.2730255638097167, 0.2772294545938166], \"optimization_time\": 12.739256381988525}","-1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(1) @ Z(7)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -2.75 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * Z(6) + -0.25 * Z(0) + -2.5 * Z(7) + 0.25 * Z(1) + -2.5 * Z(4) + 1.0 * Z(2) + 0.75 * Z(3) + 1.0 * Z(5)",15,8,2,"{\"smallest_eigenvalues\": [-20.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.0, \"smallest_bitstrings\": [\"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.0019) q[0];\nry(0.0003) q[1];\nry(-0.0022) q[2];\nry(-0.0012) q[3];\nry(0.0071) q[4];\nry(0.0078) q[5];\nry(0.0048) q[6];\nry(1.6715) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0112) q[0];\nry(0.0019) q[1];\nry(0.0028) q[2];\nry(-0.0028) q[3];\nry(0.0029) q[4];\nry(0.0025) q[5];\nry(-0.0009) q[6];\nry(0.0059) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(-0.0179) q[0];\nry(0.0045) q[1];\nry(0.0074) q[2];\nry(0.0063) q[3];\nry(-0.0022) q[4];\nry(-0.0042) q[5];\nry(-0.0139) q[6];\nry(-0.0085) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.5783) q[0];\nry(0.0164) q[1];\nry(0.0019) q[2];\nry(0.0018) q[3];\nry(0.0021) q[4];\nry(0.0018) q[5];\nry(0.0019) q[6];\nry(0.002) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x0) q[1];\nry(x9) q[2];\nry(x10) q[3];\nry(x11) q[4];\nry(x12) q[5];\nry(x13) q[6];\nry(x14) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(x15) q[0];\nry(x16) q[1];\nry(x17) q[2];\nry(x18) q[3];\nry(x2) q[4];\nry(x19) q[5];\nry(x20) q[6];\nry(x21) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x0) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x24) q[5];\nry(x0) q[6];\nry(x26) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["5f517fa5ae2a3432c923e59e3a05558a","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 6}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 11, \"source\": 0, \"target\": 8}, {\"weight\": 4, \"source\": 1, \"target\": 7}, {\"weight\": 8, \"source\": 2, \"target\": 8}, {\"weight\": 12, \"source\": 2, \"target\": 10}, {\"weight\": 2, \"source\": 3, \"target\": 9}, {\"weight\": 15, \"source\": 3, \"target\": 12}, {\"weight\": 2, \"source\": 4, \"target\": 10}, {\"weight\": 16, \"source\": 4, \"target\": 11}, {\"weight\": 8, \"source\": 5, \"target\": 11}]}","{\"states\": [1874, 850], \"expectation_value\": -53.95535889868603, \"params\": [0.7754000000000001, -0.1603, 1.1051, -0.0117, 1.097, -0.0054, 0.0031000000000000003, -0.5953, 1.0969, 0.2886, 0.8153, 0.38780000000000003, 1.1089, 0.1822, -0.0017000000000000001, 0.73, 0.5890000000000001, 0.5063, 1.104, 0.3022, 0.0432, 0.6098, 0.7789, 0.0, 1.1037000000000001, 0.0099, 1.0973, 0.0048000000000000004, 0.003, 0.0053, 1.1017000000000001, 0.0036000000000000003, 0.8126, 0.005200000000000001, 1.109, 0.008700000000000001, -0.0017000000000000001, 0.0045000000000000005, 0.5936, 0.0022, 1.1027, 0.0029000000000000002, 0.045200000000000004, 0.0074, -0.5879, -0.1395, -0.015300000000000001, -0.0098, 0.5592, 0.49100000000000005, -0.2697, 0.2953, -0.6842, 0.5331, 0.5934, 0.002, 0.0056, 0.0013000000000000002, 0.0037, 0.0019, 0.0073, 0.0, 0.0004, 0.0073, 0.0097, 0.0059], \"bitstrings\": [\"00010101101\", \"10010101101\"], \"total_optimization_steps\": 110, \"probabilities\": [0.0587782262397168, 0.06179165748826093], \"optimization_time\": 40.800121784210205}","7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 13.0 * Z(2) + 13.0 * Z(1) + 4.0 * Z(0) + -5.5 * Z(3) + 4.0 * Z(5) + 6.0 * Z(4) + -6.5 * Z(7) + 0.0 * Z(6) + 1.0 * Z(8) + 8.0 * Z(9) + -3.5 * Z(10)",18,11,2,"{\"smallest_eigenvalues\": [-106.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -93.5, \"smallest_bitstrings\": [\"10010101101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.7754) q[0];\nrz(-0.1603) q[0];\nrx(1.1051) q[1];\nrz(-0.0117) q[1];\nrx(1.097) q[2];\nrz(-0.0054) q[2];\nrx(0.0031) q[3];\nrz(-0.5953) q[3];\nrx(1.0969) q[4];\nrz(0.2886) q[4];\nrx(0.8153) q[5];\nrz(0.3878) q[5];\nrx(1.1089) q[6];\nrz(0.1822) q[6];\nrx(-0.0017) q[7];\nrz(0.73) q[7];\nrx(0.589) q[8];\nrz(0.5063) q[8];\nrx(1.104) q[9];\nrz(0.3022) q[9];\nrx(0.0432) q[10];\nrz(0.6098) q[10];\ncrz(-0.5879) q[10], q[0];\ncrz(0.5934) q[9], q[10];\ncrz(0.5331) q[8], q[9];\ncrz(-0.6842) q[7], q[8];\ncrz(0.2953) q[6], q[7];\ncrz(-0.2697) q[5], q[6];\ncrz(0.491) q[4], q[5];\ncrz(0.5592) q[3], q[4];\ncrz(-0.0098) q[2], q[3];\ncrz(-0.0153) q[1], q[2];\ncrz(-0.1395) q[0], q[1];\nrx(0.7789) q[0];\nrz(0) q[0];\nrx(1.1037) q[1];\nrz(0.0099) q[1];\nrx(1.0973) q[2];\nrz(0.0048) q[2];\nrx(0.003) q[3];\nrz(0.0053) q[3];\nrx(1.1017) q[4];\nrz(0.0036) q[4];\nrx(0.8126) q[5];\nrz(0.0052) q[5];\nrx(1.109) q[6];\nrz(0.0087) q[6];\nrx(-0.0017) q[7];\nrz(0.0045) q[7];\nrx(0.5936) q[8];\nrz(0.0022) q[8];\nrx(1.1027) q[9];\nrz(0.0029) q[9];\nrx(0.0452) q[10];\nrz(0.0074) q[10];\ncrz(0.002) q[10], q[0];\ncrz(0.0059) q[9], q[10];\ncrz(0.0097) q[8], q[9];\ncrz(0.0073) q[7], q[8];\ncrz(0.0004) q[6], q[7];\ncrz(0) q[5], q[6];\ncrz(0.0073) q[4], q[5];\ncrz(0.0019) q[3], q[4];\ncrz(0.0037) q[2], q[3];\ncrz(0.0013) q[1], q[2];\ncrz(0.0056) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrz(x22) q[10], q[0];\ncrz(x23) q[9], q[10];\ncrz(x24) q[8], q[9];\ncrz(x25) q[7], q[8];\ncrz(x26) q[6], q[7];\ncrz(x27) q[5], q[6];\ncrz(x28) q[4], q[5];\ncrz(x29) q[3], q[4];\ncrz(x30) q[2], q[3];\ncrz(x31) q[1], q[2];\ncrz(x32) q[0], q[1];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x39) q[3];\nrz(x40) q[3];\nrx(x41) q[4];\nrz(x42) q[4];\nrx(x43) q[5];\nrz(x44) q[5];\nrx(x45) q[6];\nrz(x46) q[6];\nrx(x14) q[7];\nrz(x47) q[7];\nrx(x48) q[8];\nrz(x49) q[8];\nrx(x50) q[9];\nrz(x51) q[9];\nrx(x52) q[10];\nrz(x53) q[10];\ncrz(x54) q[10], q[0];\ncrz(x55) q[9], q[10];\ncrz(x56) q[8], q[9];\ncrz(x57) q[7], q[8];\ncrz(x58) q[6], q[7];\ncrz(x34) q[5], q[6];\ncrz(x57) q[4], q[5];\ncrz(x59) q[3], q[4];\ncrz(x60) q[2], q[3];\ncrz(x61) q[1], q[2];\ncrz(x62) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10, 11, 12, 13]}\"}","{\"circuits\": [], \"gradients\": []}"]
["-1298795054562362878","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 6], [2, 5], [2, 3], [2, 6], [1, 3], [8, 3], [0, 7], [4, 7], [8, 7], [5, 6], [0, 4], [3, 7]]}","{\"states\": [296, 297], \"expectation_value\": -2.7263594608491193, \"params\": null, \"bitstrings\": [\"011010111\", \"011010110\"], \"total_optimization_steps\": 72, \"probabilities\": [0.282285726459994, 0.42201001412536365], \"optimization_time\": 123.59033370018005}","0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(4)",1,9,1,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 26, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"000111100\", \"100111000\", \"111001010\", \"000100110\", \"011010111\", \"011010110\", \"011010101\", \"000101110\", \"111000001\", \"111011001\", \"111000011\", \"011000111\", \"111010001\", \"011000110\", \"111001001\", \"111000010\", \"000111101\", \"100111001\", \"111001011\", \"000110101\", \"100101010\", \"000110110\", \"000111110\", \"100101001\", \"100101000\", \"000110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[3], q[7];\ncry(-1.0342) q[5], q[6];\nry(1.3762) q[0];\ncry(-0.7081) q[8], q[7];\nry(1.0162) q[3];\ncry(-1.382) q[3], q[1];\ncry(-0.7081) q[2], q[6];\nry(1.0162) q[5];\ncry(-1.2153) q[3], q[2];\ncry(-0.3718) q[0], q[7];\ncry(0.2568) q[0], q[3];\ncry(0.3372) q[0], q[5];\ncry(-0.4535) q[0], q[6];\ncry(0.172) q[5], q[0];\ncry(-0.5462) q[0], q[4];\ncry(0.1478) q[3], q[5];\ncry(-0.416) q[7], q[4];\ncry(-0.1666) q[0], q[2];\nry(-0.2576) q[4];\nry(0.1095) q[7];\nry(-0.1108) q[6];\ncry(-0.108) q[0], q[1];\ncry(-0.1745) q[5], q[4];\ncry(0.1533) q[7], q[3];\ncry(0.1558) q[6], q[2];\ncry(0.1345) q[7], q[2];\nry(-0.0631) q[2];\ncry(-0.0665) q[3], q[6];\ncry(0.1318) q[7], q[1];\ncry(0.1396) q[1], q[2];\ncry(0.0557) q[8], q[5];\ncry(0.1111) q[2], q[1];\ncry(-0.0718) q[4], q[7];\ncry(-0.0826) q[1], q[3];\ncry(0.088) q[0], q[8];\ncry(0.0796) q[1], q[7];\ncry(-0.0708) q[2], q[3];\ncry(0.0701) q[2], q[5];\ncry(0.0764) q[6], q[5];\ncry(-0.0376) q[8], q[6];\ncry(0.0592) q[2], q[7];\ncry(0.0246) q[8], q[3];\ncry(-0.009) q[5], q[3];\ncry(0.0547) q[1], q[8];\ncry(0.0112) q[3], q[0];\ncry(-0.0462) q[1], q[4];\nry(0.044) q[8];\ncry(-0.0201) q[5], q[7];\ncry(0.0452) q[5], q[8];\ncry(-0.0392) q[3], q[8];\ncry(-0.0382) q[3], q[4];\ncry(0.0405) q[2], q[8];\ncry(-0.0367) q[2], q[4];\nry(-0.012) q[1];\ncry(-0.0309) q[7], q[8];\ncry(0.0294) q[7], q[5];\ncry(-0.0268) q[8], q[4];\ncry(0.0114) q[8], q[1];\ncry(-0.0067) q[5], q[1];\ncry(0.0133) q[7], q[6];\ncry(0.0136) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":86683,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[3], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[3], q[7];\\ncry(-1.0342) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[3], q[7];\\ncry(-1.0342) q[5], q[6];\\nry(1.3762) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[3], q[7];\\ncry(-1.0342) q[5], q[6];\\nry(1.3762) q[0];\\ncry(-0.7081) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[3], q[7];\\ncry(-1.0342) q[5], q[6];\\nry(1.3762) q[0];\\ncry(-0.7081) q[8], q[7];\\nry(1.0162) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[3], q[7];\\ncry(-1.0342) q[5], q[6];\\nry(1.3762) q[0];\\ncry(-0.7081) q[8], q[7];\\nry(1.0162) q[3];\\ncry(-1.382) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[3], q[7];\\ncry(-1.0342) q[5], q[6];\\nry(1.3762) q[0];\\ncry(-0.7081) q[8], q[7];\\nry(1.0162) q[3];\\ncry(-1.382) q[3], q[1];\\ncry(-0.7081) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[3], q[7];\\ncry(-1.0342) q[5], q[6];\\nry(1.3762) q[0];\\ncry(-0.7081) q[8], q[7];\\nry(1.0162) q[3];\\ncry(-1.382) q[3], q[1];\\ncry(-0.7081) q[2], q[6];\\nry(1.0162) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[3], q[7];\\ncry(-1.0342) q[5], q[6];\\nry(1.3762) q[0];\\ncry(-0.7081) q[8], q[7];\\nry(1.0162) q[3];\\ncry(-1.382) q[3], q[1];\\ncry(-0.7081) q[2], q[6];\\nry(1.0162) q[5];\\ncry(-1.2153) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n"}}]
["4237845c232746c3e0d0cf50f5cff487","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 6}, {\"weight\": 11, \"source\": 0, \"target\": 5}, {\"weight\": 19, \"source\": 0, \"target\": 7}, {\"weight\": 11, \"source\": 1, \"target\": 5}, {\"weight\": 5, \"source\": 2, \"target\": 3}, {\"weight\": 19, \"source\": 3, \"target\": 7}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [437, 244], \"expectation_value\": -37.67536172926095, \"params\": [[-0.0359, -0.0031000000000000003, 0.011300000000000001, 0.0049], [0.07590000000000001, 0.0776, 0.0685, 0.0621]], \"bitstrings\": [\"001001010\", \"100001011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012167921385290957, 0.014498036412625278], \"optimization_time\": 8.180698156356812}","4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 23.0 * Z(3) + 13.0 * Z(0) + 19.0 * Z(1) + 15.0 * Z(2) + 10.0 * Z(4) + 14.0 * Z(6) + -2.0 * Z(5) + 2.0 * Z(7) + 8.0 * Z(8)",1,9,4,"{\"smallest_eigenvalues\": [-82.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -72.5, \"smallest_bitstrings\": [\"100001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(-0.3231) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.3231) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.3231) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(-0.3231) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(-0.3231) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(-0.3231) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(-0.3231) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(-0.3231) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(-0.3231) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(-0.3231) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(-0.3231) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(-0.3231) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(-0.3231) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(-0.3231) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(-0.3231) q[8];\ncx q[6], q[8];\nrz(-1.6514) q[3];\nrz(-0.9334) q[0];\nrz(-1.3642) q[1];\nrz(-1.077) q[2];\nrz(-0.718) q[4];\nrz(-1.0052) q[6];\nrz(0.1436) q[5];\nrz(-0.1436) q[7];\nrz(-0.5744) q[8];\nh q[0];\nrz(0.1518) q[0];\nh q[0];\nh q[1];\nrz(0.1518) q[1];\nh q[1];\nh q[2];\nrz(0.1518) q[2];\nh q[2];\nh q[3];\nrz(0.1518) q[3];\nh q[3];\nh q[4];\nrz(0.1518) q[4];\nh q[4];\nh q[5];\nrz(0.1518) q[5];\nh q[5];\nh q[6];\nrz(0.1518) q[6];\nh q[6];\nh q[7];\nrz(0.1518) q[7];\nh q[7];\nh q[8];\nrz(0.1518) q[8];\nh q[8];\ncx q[3], q[0];\nrz(-0.0279) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0279) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.0279) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(-0.0279) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(-0.0279) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(-0.0279) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(-0.0279) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(-0.0279) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(-0.0279) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(-0.0279) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(-0.0279) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(-0.0279) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(-0.0279) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(-0.0279) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(-0.0279) q[8];\ncx q[6], q[8];\nrz(-0.1426) q[3];\nrz(-0.0806) q[0];\nrz(-0.1178) q[1];\nrz(-0.093) q[2];\nrz(-0.062) q[4];\nrz(-0.0868) q[6];\nrz(0.0124) q[5];\nrz(-0.0124) q[7];\nrz(-0.0496) q[8];\nh q[0];\nrz(0.1552) q[0];\nh q[0];\nh q[1];\nrz(0.1552) q[1];\nh q[1];\nh q[2];\nrz(0.1552) q[2];\nh q[2];\nh q[3];\nrz(0.1552) q[3];\nh q[3];\nh q[4];\nrz(0.1552) q[4];\nh q[4];\nh q[5];\nrz(0.1552) q[5];\nh q[5];\nh q[6];\nrz(0.1552) q[6];\nh q[6];\nh q[7];\nrz(0.1552) q[7];\nh q[7];\nh q[8];\nrz(0.1552) q[8];\nh q[8];\ncx q[3], q[0];\nrz(0.1017) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.1017) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.1017) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(0.1017) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.1017) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(0.1017) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(0.1017) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(0.1017) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(0.1017) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(0.1017) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(0.1017) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.1017) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(0.1017) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(0.1017) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.1017) q[8];\ncx q[6], q[8];\nrz(0.5198) q[3];\nrz(0.2938) q[0];\nrz(0.4294) q[1];\nrz(0.339) q[2];\nrz(0.226) q[4];\nrz(0.3164) q[6];\nrz(-0.0452) q[5];\nrz(0.0452) q[7];\nrz(0.1808) q[8];\nh q[0];\nrz(0.137) q[0];\nh q[0];\nh q[1];\nrz(0.137) q[1];\nh q[1];\nh q[2];\nrz(0.137) q[2];\nh q[2];\nh q[3];\nrz(0.137) q[3];\nh q[3];\nh q[4];\nrz(0.137) q[4];\nh q[4];\nh q[5];\nrz(0.137) q[5];\nh q[5];\nh q[6];\nrz(0.137) q[6];\nh q[6];\nh q[7];\nrz(0.137) q[7];\nh q[7];\nh q[8];\nrz(0.137) q[8];\nh q[8];\ncx q[3], q[0];\nrz(0.0441) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.0441) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.0441) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(0.0441) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.0441) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(0.0441) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(0.0441) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(0.0441) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(0.0441) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(0.0441) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(0.0441) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.0441) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(0.0441) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(0.0441) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.0441) q[8];\ncx q[6], q[8];\nrz(0.2254) q[3];\nrz(0.1274) q[0];\nrz(0.1862) q[1];\nrz(0.147) q[2];\nrz(0.098) q[4];\nrz(0.1372) q[6];\nrz(-0.0196) q[5];\nrz(0.0196) q[7];\nrz(0.0784) q[8];\nh q[0];\nrz(0.1242) q[0];\nh q[0];\nh q[1];\nrz(0.1242) q[1];\nh q[1];\nh q[2];\nrz(0.1242) q[2];\nh q[2];\nh q[3];\nrz(0.1242) q[3];\nh q[3];\nh q[4];\nrz(0.1242) q[4];\nh q[4];\nh q[5];\nrz(0.1242) q[5];\nh q[5];\nh q[6];\nrz(0.1242) q[6];\nh q[6];\nh q[7];\nrz(0.1242) q[7];\nh q[7];\nh q[8];\nrz(0.1242) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[6];\nrz(x7) q[5];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x11) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x11) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x11) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x11) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x11) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(x11) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(x11) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x11) q[8];\ncx q[6], q[8];\nrz(x12) q[3];\nrz(x13) q[0];\nrz(x14) q[1];\nrz(x15) q[2];\nrz(x16) q[4];\nrz(x17) q[6];\nrz(x18) q[5];\nrz(x19) q[7];\nrz(x20) q[8];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\ncx q[3], q[0];\nrz(x22) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x22) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x22) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(x22) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x22) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x22) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(x22) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(x22) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x22) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x22) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x22) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x22) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(x22) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(x22) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x22) q[8];\ncx q[6], q[8];\nrz(x23) q[3];\nrz(x24) q[0];\nrz(x25) q[1];\nrz(x26) q[2];\nrz(x27) q[4];\nrz(x28) q[6];\nrz(x29) q[5];\nrz(x30) q[7];\nrz(x31) q[8];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nh q[8];\nrz(x32) q[8];\nh q[8];\ncx q[3], q[0];\nrz(x33) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x33) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x33) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(x33) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x33) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x33) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(x33) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(x33) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x33) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x33) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x33) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x33) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(x33) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(x33) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x33) q[8];\ncx q[6], q[8];\nrz(x34) q[3];\nrz(x35) q[0];\nrz(x36) q[1];\nrz(x37) q[2];\nrz(x38) q[4];\nrz(x39) q[6];\nrz(x40) q[5];\nrz(x41) q[7];\nrz(x42) q[8];\nh q[0];\nrz(x43) q[0];\nh q[0];\nh q[1];\nrz(x43) q[1];\nh q[1];\nh q[2];\nrz(x43) q[2];\nh q[2];\nh q[3];\nrz(x43) q[3];\nh q[3];\nh q[4];\nrz(x43) q[4];\nh q[4];\nh q[5];\nrz(x43) q[5];\nh q[5];\nh q[6];\nrz(x43) q[6];\nh q[6];\nh q[7];\nrz(x43) q[7];\nh q[7];\nh q[8];\nrz(x43) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["fd959b015d7c5b50b2cd05831ed95a60","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [50, 44], \"expectation_value\": -0.42311565907845505, \"params\": [[0.07350000000000001, 0.0671], [-0.063, -0.0534]], \"bitstrings\": [\"001101\", \"010011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.02045500402500378, 0.02112150605466277], \"optimization_time\": 2.5894386768341064}","0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4)",1,6,2,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"001101\", \"010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[5], q[0];\nrz(0.0735) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(0.0735) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(0.0735) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(0.0735) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(0.0735) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0735) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.0735) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0735) q[4];\ncx q[3], q[4];\nrz(-0.2205) q[5];\nrz(0) q[0];\nrz(-0.147) q[1];\nrz(-0.147) q[2];\nrz(-0.147) q[3];\nrz(-0.0735) q[4];\nh q[0];\nrz(-0.126) q[0];\nh q[0];\nh q[1];\nrz(-0.126) q[1];\nh q[1];\nh q[2];\nrz(-0.126) q[2];\nh q[2];\nh q[3];\nrz(-0.126) q[3];\nh q[3];\nh q[4];\nrz(-0.126) q[4];\nh q[4];\nh q[5];\nrz(-0.126) q[5];\nh q[5];\ncx q[5], q[0];\nrz(0.0671) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(0.0671) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(0.0671) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(0.0671) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(0.0671) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0671) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.0671) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0671) q[4];\ncx q[3], q[4];\nrz(-0.2013) q[5];\nrz(0) q[0];\nrz(-0.1342) q[1];\nrz(-0.1342) q[2];\nrz(-0.1342) q[3];\nrz(-0.0671) q[4];\nh q[0];\nrz(-0.1068) q[0];\nh q[0];\nh q[1];\nrz(-0.1068) q[1];\nh q[1];\nh q[2];\nrz(-0.1068) q[2];\nh q[2];\nh q[3];\nrz(-0.1068) q[3];\nh q[3];\nh q[4];\nrz(-0.1068) q[4];\nh q[4];\nh q[5];\nrz(-0.1068) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x1) q[5];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x4) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\ncx q[5], q[0];\nrz(x6) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x6) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(x6) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x6) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x6) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\nrz(x7) q[5];\nrz(x2) q[0];\nrz(x8) q[1];\nrz(x8) q[2];\nrz(x8) q[3];\nrz(x9) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["d255f243d36c9a74978598fd3f1ae2aa","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 2}, {\"capacity\": 4, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 5, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 8}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 4, \"source\": 7, \"target\": 5}, {\"capacity\": 5, \"source\": 7, \"target\": 6}]}","{\"states\": [3, 1], \"expectation_value\": -4.45916371847206, \"params\": [[-0.0509, -0.047900000000000005, -0.023700000000000002], [0.0671, 0.06670000000000001, 0.0427]], \"bitstrings\": [\"111111100\", \"111111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006215467099802261, 0.007650648161889784], \"optimization_time\": 6.791327714920044}","-1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + 3.0 * (Z(8) @ Z(0)) + -1.0 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + 2.5 * Z(2) + -0.25 * Z(0) + -2.75 * Z(6) + 1.75 * Z(7) + -0.25 * Z(1) + -4.5 * Z(4) + 1.5 * Z(3) + 2.5 * Z(8) + -0.5 * Z(5)",1,9,3,"{\"smallest_eigenvalues\": [-21.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.25, \"smallest_bitstrings\": [\"111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(0.1273) q[0];\ncx q[2], q[0];\ncx q[2], q[6];\nrz(0.1273) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.1018) q[6];\ncx q[0], q[6];\ncx q[0], q[7];\nrz(0.0509) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.1273) q[7];\ncx q[6], q[7];\ncx q[2], q[1];\nrz(0.0255) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(0.1273) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(0.0509) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(0.0764) q[4];\ncx q[1], q[4];\ncx q[2], q[3];\nrz(0.0509) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(0.0255) q[3];\ncx q[6], q[3];\ncx q[4], q[3];\nrz(0.1018) q[3];\ncx q[4], q[3];\ncx q[2], q[8];\nrz(0.0509) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(-0.3054) q[8];\ncx q[0], q[8];\ncx q[7], q[5];\nrz(0.1018) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(0.0764) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.1018) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.1273) q[5];\ncx q[3], q[5];\nrz(-0.2545) q[2];\nrz(0.0255) q[0];\nrz(0.28) q[6];\nrz(-0.1782) q[7];\nrz(0.0255) q[1];\nrz(0.4581) q[4];\nrz(-0.1527) q[3];\nrz(-0.2545) q[8];\nrz(0.0509) q[5];\nh q[0];\nrz(0.1342) q[0];\nh q[0];\nh q[1];\nrz(0.1342) q[1];\nh q[1];\nh q[2];\nrz(0.1342) q[2];\nh q[2];\nh q[3];\nrz(0.1342) q[3];\nh q[3];\nh q[4];\nrz(0.1342) q[4];\nh q[4];\nh q[5];\nrz(0.1342) q[5];\nh q[5];\nh q[6];\nrz(0.1342) q[6];\nh q[6];\nh q[7];\nrz(0.1342) q[7];\nh q[7];\nh q[8];\nrz(0.1342) q[8];\nh q[8];\ncx q[2], q[0];\nrz(0.1198) q[0];\ncx q[2], q[0];\ncx q[2], q[6];\nrz(0.1198) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0958) q[6];\ncx q[0], q[6];\ncx q[0], q[7];\nrz(0.0479) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.1198) q[7];\ncx q[6], q[7];\ncx q[2], q[1];\nrz(0.024) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(0.1198) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(0.0479) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(0.0719) q[4];\ncx q[1], q[4];\ncx q[2], q[3];\nrz(0.0479) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(0.024) q[3];\ncx q[6], q[3];\ncx q[4], q[3];\nrz(0.0958) q[3];\ncx q[4], q[3];\ncx q[2], q[8];\nrz(0.0479) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(-0.2874) q[8];\ncx q[0], q[8];\ncx q[7], q[5];\nrz(0.0958) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(0.0719) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.0958) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.1198) q[5];\ncx q[3], q[5];\nrz(-0.2395) q[2];\nrz(0.024) q[0];\nrz(0.2635) q[6];\nrz(-0.1677) q[7];\nrz(0.024) q[1];\nrz(0.4311) q[4];\nrz(-0.1437) q[3];\nrz(-0.2395) q[8];\nrz(0.0479) q[5];\nh q[0];\nrz(0.1334) q[0];\nh q[0];\nh q[1];\nrz(0.1334) q[1];\nh q[1];\nh q[2];\nrz(0.1334) q[2];\nh q[2];\nh q[3];\nrz(0.1334) q[3];\nh q[3];\nh q[4];\nrz(0.1334) q[4];\nh q[4];\nh q[5];\nrz(0.1334) q[5];\nh q[5];\nh q[6];\nrz(0.1334) q[6];\nh q[6];\nh q[7];\nrz(0.1334) q[7];\nh q[7];\nh q[8];\nrz(0.1334) q[8];\nh q[8];\ncx q[2], q[0];\nrz(0.0593) q[0];\ncx q[2], q[0];\ncx q[2], q[6];\nrz(0.0593) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0474) q[6];\ncx q[0], q[6];\ncx q[0], q[7];\nrz(0.0237) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.0593) q[7];\ncx q[6], q[7];\ncx q[2], q[1];\nrz(0.0119) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(0.0593) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(0.0237) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(0.0356) q[4];\ncx q[1], q[4];\ncx q[2], q[3];\nrz(0.0237) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(0.0119) q[3];\ncx q[6], q[3];\ncx q[4], q[3];\nrz(0.0474) q[3];\ncx q[4], q[3];\ncx q[2], q[8];\nrz(0.0237) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(-0.1422) q[8];\ncx q[0], q[8];\ncx q[7], q[5];\nrz(0.0474) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(0.0356) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.0474) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.0593) q[5];\ncx q[3], q[5];\nrz(-0.1185) q[2];\nrz(0.0119) q[0];\nrz(0.1304) q[6];\nrz(-0.083) q[7];\nrz(0.0119) q[1];\nrz(0.2133) q[4];\nrz(-0.0711) q[3];\nrz(-0.1185) q[8];\nrz(0.0237) q[5];\nh q[0];\nrz(0.0854) q[0];\nh q[0];\nh q[1];\nrz(0.0854) q[1];\nh q[1];\nh q[2];\nrz(0.0854) q[2];\nh q[2];\nh q[3];\nrz(0.0854) q[3];\nh q[3];\nh q[4];\nrz(0.0854) q[4];\nh q[4];\nh q[5];\nrz(0.0854) q[5];\nh q[5];\nh q[6];\nrz(0.0854) q[6];\nh q[6];\nh q[7];\nrz(0.0854) q[7];\nh q[7];\nh q[8];\nrz(0.0854) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[0], q[7];\nrz(x2) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[2], q[1];\nrz(x3) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(x2) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(x4) q[4];\ncx q[1], q[4];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x3) q[3];\ncx q[6], q[3];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[2], q[8];\nrz(x2) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(x5) q[8];\ncx q[0], q[8];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\nrz(x6) q[2];\nrz(x3) q[0];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x3) q[1];\nrz(x9) q[4];\nrz(x10) q[3];\nrz(x6) q[8];\nrz(x2) q[5];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x12) q[0];\ncx q[2], q[0];\ncx q[2], q[6];\nrz(x12) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x13) q[6];\ncx q[0], q[6];\ncx q[0], q[7];\nrz(x14) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x12) q[7];\ncx q[6], q[7];\ncx q[2], q[1];\nrz(x15) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(x12) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(x14) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(x16) q[4];\ncx q[1], q[4];\ncx q[2], q[3];\nrz(x14) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x15) q[3];\ncx q[6], q[3];\ncx q[4], q[3];\nrz(x13) q[3];\ncx q[4], q[3];\ncx q[2], q[8];\nrz(x14) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(x17) q[8];\ncx q[0], q[8];\ncx q[7], q[5];\nrz(x13) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x13) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x12) q[5];\ncx q[3], q[5];\nrz(x18) q[2];\nrz(x15) q[0];\nrz(x19) q[6];\nrz(x20) q[7];\nrz(x15) q[1];\nrz(x21) q[4];\nrz(x22) q[3];\nrz(x18) q[8];\nrz(x14) q[5];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nh q[8];\nrz(x23) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x24) q[0];\ncx q[2], q[0];\ncx q[2], q[6];\nrz(x24) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x25) q[6];\ncx q[0], q[6];\ncx q[0], q[7];\nrz(x26) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x24) q[7];\ncx q[6], q[7];\ncx q[2], q[1];\nrz(x27) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(x24) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(x26) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(x28) q[4];\ncx q[1], q[4];\ncx q[2], q[3];\nrz(x26) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x27) q[3];\ncx q[6], q[3];\ncx q[4], q[3];\nrz(x25) q[3];\ncx q[4], q[3];\ncx q[2], q[8];\nrz(x26) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(x29) q[8];\ncx q[0], q[8];\ncx q[7], q[5];\nrz(x25) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(x28) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x25) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x24) q[5];\ncx q[3], q[5];\nrz(x30) q[2];\nrz(x27) q[0];\nrz(x31) q[6];\nrz(x32) q[7];\nrz(x27) q[1];\nrz(x33) q[4];\nrz(x34) q[3];\nrz(x30) q[8];\nrz(x26) q[5];\nh q[0];\nrz(x35) q[0];\nh q[0];\nh q[1];\nrz(x35) q[1];\nh q[1];\nh q[2];\nrz(x35) q[2];\nh q[2];\nh q[3];\nrz(x35) q[3];\nh q[3];\nh q[4];\nrz(x35) q[4];\nh q[4];\nh q[5];\nrz(x35) q[5];\nh q[5];\nh q[6];\nrz(x35) q[6];\nh q[6];\nh q[7];\nrz(x35) q[7];\nh q[7];\nh q[8];\nrz(x35) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["ceada473950316c985fdaa58a8618609","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 3}, {\"weight\": 19, \"source\": 1, \"target\": 3}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 14, \"source\": 2, \"target\": 5}, {\"weight\": 14, \"source\": 3, \"target\": 5}, {\"weight\": 5, \"source\": 4, \"target\": 5}, {\"weight\": 19, \"source\": 5, \"target\": 6}]}","{\"states\": [189, 109], \"expectation_value\": -28.47673227951655, \"params\": [[-0.033800000000000004, 0.0027, 0.0102], [0.0737, 0.0596, 0.062]], \"bitstrings\": [\"01000010\", \"10010010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012545568359406524, 0.014580900338798969], \"optimization_time\": 6.203727722167969}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 14.0 * Z(1) + 4.5 * Z(0) + 17.5 * Z(2) + 13.0 * Z(3) + 15.0 * Z(4) + 23.0 * Z(5) + 6.5 * Z(6) + 13.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-71.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -65.0, \"smallest_bitstrings\": [\"10010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2704) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2704) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2704) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2704) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.2704) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(-0.2704) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2704) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.2704) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.2704) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.2704) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(-0.2704) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.2704) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.2704) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.2704) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.2704) q[7];\ncx q[6], q[7];\nrz(-0.9464) q[1];\nrz(-0.3042) q[0];\nrz(-1.183) q[2];\nrz(-0.8788) q[3];\nrz(-1.014) q[4];\nrz(-1.5548) q[5];\nrz(-0.4394) q[6];\nrz(-0.9126) q[7];\nh q[0];\nrz(0.1474) q[0];\nh q[0];\nh q[1];\nrz(0.1474) q[1];\nh q[1];\nh q[2];\nrz(0.1474) q[2];\nh q[2];\nh q[3];\nrz(0.1474) q[3];\nh q[3];\nh q[4];\nrz(0.1474) q[4];\nh q[4];\nh q[5];\nrz(0.1474) q[5];\nh q[5];\nh q[6];\nrz(0.1474) q[6];\nh q[6];\nh q[7];\nrz(0.1474) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0216) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0216) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0216) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0216) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.0216) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(0.0216) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0216) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0216) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0216) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0216) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(0.0216) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0216) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(0.0216) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0216) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0216) q[7];\ncx q[6], q[7];\nrz(0.0756) q[1];\nrz(0.0243) q[0];\nrz(0.0945) q[2];\nrz(0.0702) q[3];\nrz(0.081) q[4];\nrz(0.1242) q[5];\nrz(0.0351) q[6];\nrz(0.0729) q[7];\nh q[0];\nrz(0.1192) q[0];\nh q[0];\nh q[1];\nrz(0.1192) q[1];\nh q[1];\nh q[2];\nrz(0.1192) q[2];\nh q[2];\nh q[3];\nrz(0.1192) q[3];\nh q[3];\nh q[4];\nrz(0.1192) q[4];\nh q[4];\nh q[5];\nrz(0.1192) q[5];\nh q[5];\nh q[6];\nrz(0.1192) q[6];\nh q[6];\nh q[7];\nrz(0.1192) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0816) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0816) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0816) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0816) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.0816) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(0.0816) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0816) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0816) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0816) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0816) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(0.0816) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0816) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(0.0816) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0816) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0816) q[7];\ncx q[6], q[7];\nrz(0.2856) q[1];\nrz(0.0918) q[0];\nrz(0.357) q[2];\nrz(0.2652) q[3];\nrz(0.306) q[4];\nrz(0.4692) q[5];\nrz(0.1326) q[6];\nrz(0.2754) q[7];\nh q[0];\nrz(0.124) q[0];\nh q[0];\nh q[1];\nrz(0.124) q[1];\nh q[1];\nh q[2];\nrz(0.124) q[2];\nh q[2];\nh q[3];\nrz(0.124) q[3];\nh q[3];\nh q[4];\nrz(0.124) q[4];\nh q[4];\nh q[5];\nrz(0.124) q[5];\nh q[5];\nh q[6];\nrz(0.124) q[6];\nh q[6];\nh q[7];\nrz(0.124) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x20) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x20) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x20) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x20) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x20) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x20) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x20) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["5dad688a93671469362a3d3d00961b05","graph_coloring","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 3}, {\"id\": 1}, {\"id\": 4}, {\"id\": 2}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 3, \"target\": 1}, {\"source\": 1, \"target\": 4}, {\"source\": 4, \"target\": 2}]}","{\"states\": [28381, 27869], \"expectation_value\": -6.348399476104855, \"params\": [[0.9205000000000001, 1.4894, 0.6778000000000001, 1.4888000000000001, 1.2342, 0.6752, 0.2461, 1.4828000000000001, 0.7335, 0.6789000000000001, 1.4552, 1.4462000000000002, 1.4974, 0.7349, 1.4831], [-0.0076, 0.0509, 0.0017000000000000001, 0.055600000000000004, -0.0175, 0.52, -0.0206, 0.1746, -0.10260000000000001, 0.4696, 0.0317, 0.0008, 0.0117, 0.003, 0.12490000000000001], [1.4846000000000001, 1.4845000000000002, 0.8684000000000001, 1.4956, 0.9456, 0.9853000000000001, 0.8705, 1.489, 1.4927000000000001, 0.8902, 0.6898000000000001, 1.4937, 1.4954, 0.772, 1.4872]], \"bitstrings\": [\"001000100100010\", \"001001100100010\"], \"total_optimization_steps\": 150, \"probabilities\": [0.019315070582358755, 0.01951526247867285], \"optimization_time\": 109.79753971099854}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(3)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(5)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.25 * (Z(6) @ Z(12)) + 0.25 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(14)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.0 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(9) + 1.0 * Z(10) + 1.0 * Z(11) + 1.0 * Z(3) + 1.0 * Z(4) + 1.0 * Z(5) + 1.25 * Z(12) + 1.25 * Z(13) + 1.25 * Z(14) + 0.75 * Z(6) + 0.75 * Z(7) + 0.75 * Z(8)",10,15,2,"{\"smallest_eigenvalues\": [-8.749999999999972], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.749999999999964, \"smallest_bitstrings\": [\"001001100100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nry(0.9205) q[0];\nry(1.4894) q[1];\nry(0.6778) q[2];\nry(1.4888) q[3];\nry(1.2342) q[4];\nry(0.6752) q[5];\nry(0.2461) q[6];\nry(1.4828) q[7];\nry(0.7335) q[8];\nry(0.6789) q[9];\nry(1.4552) q[10];\nry(1.4462) q[11];\nry(1.4974) q[12];\nry(0.7349) q[13];\nry(1.4831) q[14];\ncz q[14], q[13];\ncz q[13], q[12];\ncz q[12], q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[14];\nry(-0.0076) q[0];\nry(0.0509) q[1];\nry(0.0017) q[2];\nry(0.0556) q[3];\nry(-0.0175) q[4];\nry(0.52) q[5];\nry(-0.0206) q[6];\nry(0.1746) q[7];\nry(-0.1026) q[8];\nry(0.4696) q[9];\nry(0.0317) q[10];\nry(0.0008) q[11];\nry(0.0117) q[12];\nry(0.003) q[13];\nry(0.1249) q[14];\ncz q[14], q[13];\ncz q[13], q[12];\ncz q[12], q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[14];\nry(1.4846) q[0];\nry(1.4845) q[1];\nry(0.8684) q[2];\nry(1.4956) q[3];\nry(0.9456) q[4];\nry(0.9853) q[5];\nry(0.8705) q[6];\nry(1.489) q[7];\nry(1.4927) q[8];\nry(0.8902) q[9];\nry(0.6898) q[10];\nry(1.4937) q[11];\nry(1.4954) q[12];\nry(0.772) q[13];\nry(1.4872) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[15] c;\nqubit[15] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\nry(x13) q[13];\nry(x14) q[14];\ncz q[14], q[13];\ncz q[13], q[12];\ncz q[12], q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[14];\nry(x15) q[0];\nry(x16) q[1];\nry(x17) q[2];\nry(x18) q[3];\nry(x19) q[4];\nry(x20) q[5];\nry(x21) q[6];\nry(x22) q[7];\nry(x23) q[8];\nry(x24) q[9];\nry(x25) q[10];\nry(x26) q[11];\nry(x27) q[12];\nry(x28) q[13];\nry(x29) q[14];\ncz q[14], q[13];\ncz q[13], q[12];\ncz q[12], q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[14];\nry(x30) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x38) q[8];\nry(x39) q[9];\nry(x40) q[10];\nry(x41) q[11];\nry(x42) q[12];\nry(x43) q[13];\nry(x44) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","{\"number_of_colors\": 3}","{\"circuits\": [], \"gradients\": []}"]
["26d7f56e59bfdf48052023802b40605b","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [25, 28], \"expectation_value\": -2.999937482249151, \"params\": null, \"bitstrings\": [\"00110\", \"00011\"], \"total_optimization_steps\": 20, \"probabilities\": [1.635611710952993e-05, 0.9999687418118111], \"optimization_time\": 17.760130167007446}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2)",1,5,1,"{\"smallest_eigenvalues\": [-3.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"00011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[3];\nry(-1.4449) q[4];\nry(1.4449) q[0];\nry(1.4417) q[2];\nry(1.4417) q[1];\ncry(-0.1259) q[2], q[4];\ncry(0.1217) q[0], q[1];\ncry(0.1216) q[1], q[2];\ncry(0.1186) q[2], q[0];\ncry(-0.0027) q[2], q[3];\ncry(-0.0005) q[1], q[4];\ncry(0.0074) q[2], q[1];\ncry(0.0069) q[0], q[2];\ncry(0.0067) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.0052, 0.5023, 0.5005, 0.4962, 0.4959, 0.1916, 0.0631, 0.0633, 0.0617, 0.0086, 0.006, 0.006, 0.0045, 0.0045, 0.0038, 0.0034, 0.0031, 0.003, 0.003, 0.003]}"]
["1031550142790787292","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[5, 6], [3, 4], [4, 5], [0, 2], [1, 2]]}","{\"states\": [101, 106], \"expectation_value\": -0.053785436558120084, \"params\": [[0.0745], [-0.07350000000000001]], \"bitstrings\": [\"0011010\", \"0010101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008681290685717475, 0.008681290685717475], \"optimization_time\": 3.3541483879089355}","0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1)",1,7,1,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"0010101\", \"0011010\", \"1101010\", \"1100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[6], q[5];\nrz(0.0745) q[5];\ncx q[6], q[5];\ncx q[5], q[4];\nrz(0.0745) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(0.0745) q[3];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(0.0745) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0745) q[1];\ncx q[2], q[1];\nrz(0) q[6];\nrz(0) q[5];\nrz(0) q[4];\nrz(0) q[3];\nrz(0) q[2];\nrz(0) q[0];\nrz(0) q[1];\nh q[0];\nrz(-0.147) q[0];\nh q[0];\nh q[1];\nrz(-0.147) q[1];\nh q[1];\nh q[2];\nrz(-0.147) q[2];\nh q[2];\nh q[3];\nrz(-0.147) q[3];\nh q[3];\nh q[4];\nrz(-0.147) q[4];\nh q[4];\nh q[5];\nrz(-0.147) q[5];\nh q[5];\nh q[6];\nrz(-0.147) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\nrz(x1) q[6];\nrz(x1) q[5];\nrz(x1) q[4];\nrz(x1) q[3];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[1];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["9915ff93784d747e82bcd9a73a2399e5","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}]}","{\"states\": [1, 3], \"expectation_value\": -4.531544043536136, \"params\": [[[0.09730000000000001, -0.1975], [0.2053, 0.1628], [0.1865, 0.16640000000000002], [0.4806, 0.0024000000000000002], [0.4934, -0.002]], [[0.099, -0.1975], [0.20420000000000002, 0.1628], [0.187, 0.16640000000000002], [0.48190000000000005, 0.0024000000000000002], [0.4908, -0.002]], [[0.09190000000000001, -0.1976], [0.2041, 0.1627], [0.186, 0.16640000000000002], [0.48650000000000004, 0.0024000000000000002], [0.49500000000000005, -0.002]], [[0.093, 0.0044], [0.2066, 0.0006000000000000001], [0.1925, 0.0067], [0.48250000000000004, 0.0013000000000000002], [0.4887, 0.0036000000000000003]]], \"bitstrings\": [\"11110\", \"11100\"], \"total_optimization_steps\": 50, \"probabilities\": [0.1594815240747299, 0.33349291930527936], \"optimization_time\": 4.968178987503052}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4)",1,5,4,"{\"smallest_eigenvalues\": [-7.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.75, \"smallest_bitstrings\": [\"11100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nrx(0.0973) q[0];\nrz(-0.1975) q[0];\nrx(0.2053) q[1];\nrz(0.1628) q[1];\nrx(0.1865) q[2];\nrz(0.1664) q[2];\nrx(0.4806) q[3];\nrz(0.0024) q[3];\nrx(0.4934) q[4];\nrz(-0.002) q[4];\nrx(0.099) q[0];\nrz(-0.1975) q[0];\nrx(0.2042) q[1];\nrz(0.1628) q[1];\nrx(0.187) q[2];\nrz(0.1664) q[2];\nrx(0.4819) q[3];\nrz(0.0024) q[3];\nrx(0.4908) q[4];\nrz(-0.002) q[4];\nrx(0.0919) q[0];\nrz(-0.1976) q[0];\nrx(0.2041) q[1];\nrz(0.1627) q[1];\nrx(0.186) q[2];\nrz(0.1664) q[2];\nrx(0.4865) q[3];\nrz(0.0024) q[3];\nrx(0.495) q[4];\nrz(-0.002) q[4];\nrx(0.093) q[0];\nrz(0.0044) q[0];\nrx(0.2066) q[1];\nrz(0.0006) q[1];\nrx(0.1925) q[2];\nrz(0.0067) q[2];\nrx(0.4825) q[3];\nrz(0.0013) q[3];\nrx(0.4887) q[4];\nrz(0.0036) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[0];\nrz(x1) q[0];\nrx(x11) q[1];\nrz(x3) q[1];\nrx(x12) q[2];\nrz(x5) q[2];\nrx(x13) q[3];\nrz(x7) q[3];\nrx(x14) q[4];\nrz(x9) q[4];\nrx(x15) q[0];\nrz(x16) q[0];\nrx(x17) q[1];\nrz(x18) q[1];\nrx(x19) q[2];\nrz(x5) q[2];\nrx(x20) q[3];\nrz(x7) q[3];\nrx(x21) q[4];\nrz(x9) q[4];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["11e3db404ceab325d959c6faf4c54e2e","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [11, 7], \"expectation_value\": -0.37980880889030944, \"params\": [[-0.0627, -0.028], [0.0747, 0.0568]], \"bitstrings\": [\"1110100\", \"1111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00959456000295907, 0.009875664085662534], \"optimization_time\": 3.098317861557007}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3)",1,7,2,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1011010\", \"1010110\", \"1111000\", \"1001110\", \"1110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0627) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0627) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0627) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0627) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.0627) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(-0.0627) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0627) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(-0.0627) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.0627) q[3];\ncx q[2], q[3];\nrz(0.0627) q[1];\nrz(0.1881) q[0];\nrz(0.1254) q[4];\nrz(0.1254) q[5];\nrz(0) q[6];\nrz(0.1254) q[2];\nrz(0.0627) q[3];\nh q[0];\nrz(0.1494) q[0];\nh q[0];\nh q[1];\nrz(0.1494) q[1];\nh q[1];\nh q[2];\nrz(0.1494) q[2];\nh q[2];\nh q[3];\nrz(0.1494) q[3];\nh q[3];\nh q[4];\nrz(0.1494) q[4];\nh q[4];\nh q[5];\nrz(0.1494) q[5];\nh q[5];\nh q[6];\nrz(0.1494) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.028) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.028) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.028) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.028) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.028) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(-0.028) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.028) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(-0.028) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.028) q[3];\ncx q[2], q[3];\nrz(0.028) q[1];\nrz(0.084) q[0];\nrz(0.056) q[4];\nrz(0.056) q[5];\nrz(0) q[6];\nrz(0.056) q[2];\nrz(0.028) q[3];\nh q[0];\nrz(0.1136) q[0];\nh q[0];\nh q[1];\nrz(0.1136) q[1];\nh q[1];\nh q[2];\nrz(0.1136) q[2];\nh q[2];\nh q[3];\nrz(0.1136) q[3];\nh q[3];\nh q[4];\nrz(0.1136) q[4];\nh q[4];\nh q[5];\nrz(0.1136) q[5];\nh q[5];\nh q[6];\nrz(0.1136) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[4];\nrz(x3) q[5];\nrz(x4) q[6];\nrz(x3) q[2];\nrz(x1) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x6) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x6) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(x6) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\nrz(x7) q[1];\nrz(x8) q[0];\nrz(x9) q[4];\nrz(x9) q[5];\nrz(x4) q[6];\nrz(x9) q[2];\nrz(x7) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["825abbfffae19b61aa653f6ccd815682","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 8}, {\"source\": 1, \"target\": 3}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [291, 295], \"expectation_value\": -2.8217138010769256, \"params\": [[[0.8497, -0.0031000000000000003], [-0.0025, -0.4965], [0.7269, 0.0373], [0.905, -0.0007], [0.7605000000000001, -0.0497], [0.1822, -0.3687], [0.8005, 0.0091], [0.9099, -0.0037], [0.9093, -0.0011]], [[0.8515, 0.0053], [-0.0026000000000000003, 0.0077], [0.7287, 0.0058000000000000005], [0.9085000000000001, 0.0061], [0.7642, 0.005], [0.187, 0.0022], [0.8016000000000001, 0.004200000000000001], [0.9074000000000001, 0.0068000000000000005], [0.9033, 0.0056]]], \"bitstrings\": [\"011011100\", \"011011000\"], \"total_optimization_steps\": 90, \"probabilities\": [0.018469991927384504, 0.019663090133977757], \"optimization_time\": 15.345885276794434}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(6) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(7)",1,9,2,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"110001100\", \"011011000\", \"011001100\", \"110011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.8497) q[0];\nrz(-0.0031) q[0];\nrx(-0.0025) q[1];\nrz(-0.4965) q[1];\nrx(0.7269) q[2];\nrz(0.0373) q[2];\nrx(0.905) q[3];\nrz(-0.0007) q[3];\nrx(0.7605) q[4];\nrz(-0.0497) q[4];\nrx(0.1822) q[5];\nrz(-0.3687) q[5];\nrx(0.8005) q[6];\nrz(0.0091) q[6];\nrx(0.9099) q[7];\nrz(-0.0037) q[7];\nrx(0.9093) q[8];\nrz(-0.0011) q[8];\nrx(0.8515) q[0];\nrz(0.0053) q[0];\nrx(-0.0026) q[1];\nrz(0.0077) q[1];\nrx(0.7287) q[2];\nrz(0.0058) q[2];\nrx(0.9085) q[3];\nrz(0.0061) q[3];\nrx(0.7642) q[4];\nrz(0.005) q[4];\nrx(0.187) q[5];\nrz(0.0022) q[5];\nrx(0.8016) q[6];\nrz(0.0042) q[6];\nrx(0.9074) q[7];\nrz(0.0068) q[7];\nrx(0.9033) q[8];\nrz(0.0056) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[0];\nrz(x19) q[0];\nrx(x20) q[1];\nrz(x21) q[1];\nrx(x22) q[2];\nrz(x23) q[2];\nrx(x24) q[3];\nrz(x25) q[3];\nrx(x26) q[4];\nrz(x27) q[4];\nrx(x28) q[5];\nrz(x29) q[5];\nrx(x30) q[6];\nrz(x31) q[6];\nrx(x32) q[7];\nrz(x33) q[7];\nrx(x34) q[8];\nrz(x35) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["1482f4f5abcf5f1c29a93218e5aedf4b","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 4, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 4, \"source\": 6, \"target\": 7}]}","{\"states\": [6, 7], \"expectation_value\": -6.7661522816502035, \"params\": [0.0022, 0.3945, 0.0035, 0.4974, 0.0031000000000000003, 0.5148, 0.0013000000000000002, 0.5826, 0.0028, 0.5852, 0.44620000000000004, 0.20950000000000002, 0.7493000000000001, -0.026500000000000003, -0.4717, 0.036500000000000005, -0.0009000000000000001, 0.4015, 0.004, 0.5072, 0.0025, 0.5913, 0.0024000000000000002, 0.5940000000000001, 0.0035, 0.5468000000000001, 0.5564, 0.22870000000000001, 0.7426, 0.0363, -0.48850000000000005, 0.0011, -0.0008, 0.3461, 0.0006000000000000001, 0.5698, 0.0061, 0.5265000000000001, 0.0058000000000000005, 0.5636, 0.0027, 0.4117, 0.5922000000000001, 0.1837, 0.7475, 0.155, -0.48610000000000003, 0.060200000000000004, 0.0023, 0.0012000000000000001, 0.0051, 0.007, 0.0015, 0.0057, -0.00030000000000000003, 0.0073, 0.0029000000000000002, 0.0077, 0.6212, 0.00030000000000000003, 0.7431, 0.005200000000000001, -0.48950000000000005, 0.0023, -0.4929, -0.5045000000000001, -0.5771000000000001, -0.5756, 0.3914, 0.0351, 0.12510000000000002, -0.5006, -0.5841000000000001, -0.5776, -0.5425, 0.52, 0.008400000000000001, -0.0468, -0.5639000000000001, -0.5156000000000001, -0.5557, -0.40590000000000004, 0.3814, -0.0304, -0.1706, 0.0048000000000000004, 0.0011, 0.0032, 0.0043, 0.0002, 0.0039000000000000003, 0.0009000000000000001], \"bitstrings\": [\"11111001\", \"11111000\"], \"total_optimization_steps\": 80, \"probabilities\": [0.2547571381140413, 0.5389927599988138], \"optimization_time\": 30.730154991149902}","-0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6)",3,8,4,"{\"smallest_eigenvalues\": [-7.75, -7.75, -7.75], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -5.75, \"smallest_bitstrings\": [\"11011000\", \"11111100\", \"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0022) q[0];\nrz(0.3945) q[0];\nrx(0.0035) q[1];\nrz(0.4974) q[1];\nrx(0.0031) q[2];\nrz(0.5148) q[2];\nrx(0.0013) q[3];\nrz(0.5826) q[3];\nrx(0.0028) q[4];\nrz(0.5852) q[4];\nrx(0.4462) q[5];\nrz(0.2095) q[5];\nrx(0.7493) q[6];\nrz(-0.0265) q[6];\nrx(-0.4717) q[7];\nrz(0.0365) q[7];\ncrz(0.1251) q[7], q[6];\ncrz(0.0351) q[6], q[5];\ncrz(0.3914) q[5], q[4];\ncrz(-0.5756) q[4], q[3];\ncrz(-0.5771) q[3], q[2];\ncrz(-0.5045) q[2], q[1];\ncrz(-0.4929) q[1], q[0];\nrx(-0.0009) q[0];\nrz(0.4015) q[0];\nrx(0.004) q[1];\nrz(0.5072) q[1];\nrx(0.0025) q[2];\nrz(0.5913) q[2];\nrx(0.0024) q[3];\nrz(0.594) q[3];\nrx(0.0035) q[4];\nrz(0.5468) q[4];\nrx(0.5564) q[5];\nrz(0.2287) q[5];\nrx(0.7426) q[6];\nrz(0.0363) q[6];\nrx(-0.4885) q[7];\nrz(0.0011) q[7];\ncrz(-0.0468) q[7], q[6];\ncrz(0.0084) q[6], q[5];\ncrz(0.52) q[5], q[4];\ncrz(-0.5425) q[4], q[3];\ncrz(-0.5776) q[3], q[2];\ncrz(-0.5841) q[2], q[1];\ncrz(-0.5006) q[1], q[0];\nrx(-0.0008) q[0];\nrz(0.3461) q[0];\nrx(0.0006) q[1];\nrz(0.5698) q[1];\nrx(0.0061) q[2];\nrz(0.5265) q[2];\nrx(0.0058) q[3];\nrz(0.5636) q[3];\nrx(0.0027) q[4];\nrz(0.4117) q[4];\nrx(0.5922) q[5];\nrz(0.1837) q[5];\nrx(0.7475) q[6];\nrz(0.155) q[6];\nrx(-0.4861) q[7];\nrz(0.0602) q[7];\ncrz(-0.1706) q[7], q[6];\ncrz(-0.0304) q[6], q[5];\ncrz(0.3814) q[5], q[4];\ncrz(-0.4059) q[4], q[3];\ncrz(-0.5557) q[3], q[2];\ncrz(-0.5156) q[2], q[1];\ncrz(-0.5639) q[1], q[0];\nrx(0.0023) q[0];\nrz(0.0012) q[0];\nrx(0.0051) q[1];\nrz(0.007) q[1];\nrx(0.0015) q[2];\nrz(0.0057) q[2];\nrx(-0.0003) q[3];\nrz(0.0073) q[3];\nrx(0.0029) q[4];\nrz(0.0077) q[4];\nrx(0.6212) q[5];\nrz(0.0003) q[5];\nrx(0.7431) q[6];\nrz(0.0052) q[6];\nrx(-0.4895) q[7];\nrz(0.0023) q[7];\ncrz(0.0009) q[7], q[6];\ncrz(0.0039) q[6], q[5];\ncrz(0.0002) q[5], q[4];\ncrz(0.0043) q[4], q[3];\ncrz(0.0032) q[3], q[2];\ncrz(0.0011) q[2], q[1];\ncrz(0.0048) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[6], q[5];\ncrz(x18) q[5], q[4];\ncrz(x19) q[4], q[3];\ncrz(x20) q[3], q[2];\ncrz(x21) q[2], q[1];\ncrz(x22) q[1], q[0];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x2) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nrx(x36) q[7];\nrz(x37) q[7];\ncrz(x38) q[7], q[6];\ncrz(x39) q[6], q[5];\ncrz(x40) q[5], q[4];\ncrz(x41) q[4], q[3];\ncrz(x42) q[3], q[2];\ncrz(x43) q[2], q[1];\ncrz(x44) q[1], q[0];\nrx(x45) q[0];\nrz(x46) q[0];\nrx(x47) q[1];\nrz(x48) q[1];\nrx(x49) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x59) q[7];\nrz(x60) q[7];\ncrz(x61) q[7], q[6];\ncrz(x62) q[6], q[5];\ncrz(x63) q[5], q[4];\ncrz(x64) q[4], q[3];\ncrz(x65) q[3], q[2];\ncrz(x66) q[2], q[1];\ncrz(x67) q[1], q[0];\nrx(x68) q[0];\nrz(x69) q[0];\nrx(x70) q[1];\nrz(x71) q[1];\nrx(x72) q[2];\nrz(x73) q[2];\nrx(x74) q[3];\nrz(x75) q[3];\nrx(x76) q[4];\nrz(x77) q[4];\nrx(x78) q[5];\nrz(x79) q[5];\nrx(x80) q[6];\nrz(x81) q[6];\nrx(x82) q[7];\nrz(x68) q[7];\ncrz(x83) q[7], q[6];\ncrz(x84) q[6], q[5];\ncrz(x85) q[5], q[4];\ncrz(x86) q[4], q[3];\ncrz(x87) q[3], q[2];\ncrz(x37) q[2], q[1];\ncrz(x88) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["-1649529797794769528","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 2, 6], [0, 1, 3, 5, 7], [1, 3, 4, 5, 6, 8], [2, 4, 5, 6, 8], [0, 2, 4, 5, 6, 7], [0, 1, 4, 5, 6], [0, 2, 3, 4, 5], [0, 4, 5, 7, 8], [1, 3, 6, 7, 8], [0, 2, 4, 6, 7, 8], [0, 1, 5, 6, 7, 8], [0, 2, 3, 4, 8], [1, 2, 5, 7, 8], [0, 1, 4, 6, 7, 8]]}","{\"states\": [365, 367], \"expectation_value\": -1.9833255777085754, \"params\": [2.6574, 0.0034000000000000002, 1.5543, 0.0037, 2.6341, 0.0074, 2.459, 0.0041, 1.5235, 0.008, 1.5917000000000001, 0.0008, 2.6188000000000002, 0.0022, 1.5758, 0.0016, 2.6367000000000003, 0.0098, 0.0011, 0.008400000000000001, 0.0049, 0.0005, 0.005200000000000001, 0.0048000000000000004, 0.0089, 0.0034000000000000002, 0.0076, 0.0013000000000000002, 0.0039000000000000003, 0.0054, 0.0018000000000000002, 0.002, 0.0025, 0.0074, 0.0094, 0.0013000000000000002], \"bitstrings\": [\"010010010\", \"010010000\"], \"total_optimization_steps\": 270, \"probabilities\": [0.046375381731452205, 0.04684381818559955], \"optimization_time\": 15.27298092842102}","0.21666666666666667 * (Z(1) @ Z(2)) + 0.2833333333333333 * (Z(6) @ Z(2)) + 0.36666666666666664 * (Z(6) @ Z(1)) + 0.16666666666666669 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.18333333333333332 * (Z(0) @ Z(6)) + 0.1 * (Z(3) @ Z(2)) + 0.13333333333333336 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(6)) + 0.15000000000000002 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(1)) + 0.2 * (Z(5) @ Z(6)) + 0.26666666666666666 * (Z(5) @ Z(0)) + 0.13333333333333336 * (Z(5) @ Z(3)) + 0.11666666666666667 * (Z(7) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(1)) + 0.18333333333333332 * (Z(7) @ Z(6)) + 0.23333333333333334 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.23333333333333334 * (Z(4) @ Z(6)) + 0.3 * (Z(4) @ Z(0)) + 0.13333333333333336 * (Z(4) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(5)) + 0.15 * (Z(4) @ Z(7)) + 0.18333333333333335 * (Z(8) @ Z(2)) + 0.2 * (Z(8) @ Z(1)) + 0.23333333333333334 * (Z(8) @ Z(6)) + 0.2 * (Z(8) @ Z(0)) + 0.13333333333333336 * (Z(8) @ Z(3)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(7)) + 0.25 * (Z(8) @ Z(4)) + 0.7333333333333333 * Z(2) + 0.8166666666666669 * Z(1) + 0.8833333333333334 * Z(6) + 0.8333333333333334 * Z(0) + 0.4833333333333335 * Z(3) + 0.8500000000000002 * Z(5) + 0.7333333333333333 * Z(7) + 0.8333333333333331 * Z(4) + 0.8333333333333333 * Z(8)",16,9,1,"{\"smallest_eigenvalues\": [-2.833333333333334], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.833333333333333, \"smallest_bitstrings\": [\"010010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(2.6574) q[0];\nrz(0.0034) q[0];\nrx(1.5543) q[1];\nrz(0.0037) q[1];\nrx(2.6341) q[2];\nrz(0.0074) q[2];\nrx(2.459) q[3];\nrz(0.0041) q[3];\nrx(1.5235) q[4];\nrz(0.008) q[4];\nrx(1.5917) q[5];\nrz(0.0008) q[5];\nrx(2.6188) q[6];\nrz(0.0022) q[6];\nrx(1.5758) q[7];\nrz(0.0016) q[7];\nrx(2.6367) q[8];\nrz(0.0098) q[8];\ncrz(0.0011) q[1], q[0];\ncrz(0.0052) q[3], q[2];\ncrz(0.0076) q[5], q[4];\ncrz(0.0018) q[7], q[6];\ncrz(0.0005) q[2], q[1];\ncrz(0.0034) q[4], q[3];\ncrz(0.0054) q[6], q[5];\ncrz(0.0074) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[1], q[0];\ncrz(x19) q[3], q[2];\ncrz(x20) q[5], q[4];\ncrz(x21) q[7], q[6];\ncrz(x22) q[2], q[1];\ncrz(x1) q[4], q[3];\ncrz(x23) q[6], q[5];\ncrz(x5) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["391f10ae0b39617f9448bce6ece927dd","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 8}, {\"weight\": 15, \"source\": 0, \"target\": 10}, {\"weight\": 6, \"source\": 1, \"target\": 9}, {\"weight\": 5, \"source\": 2, \"target\": 10}, {\"weight\": 20, \"source\": 6, \"target\": 9}, {\"weight\": 17, \"source\": 7, \"target\": 8}, {\"weight\": 16, \"source\": 7, \"target\": 9}, {\"weight\": 16, \"source\": 7, \"target\": 10}]}","{\"states\": [175, 143], \"expectation_value\": -44.211389575820974, \"params\": [0.5977, 0.06520000000000001, 0.35910000000000003, 0.1376, 0.3694, -0.1247, 0.34840000000000004, -0.1177, 0.6003000000000001, -0.0033, 0.5946, 0.0031000000000000003, 0.5983, -0.0002, 0.601, -0.0021000000000000003, 0.5940000000000001, 0.0674, 0.3552, 0.1389, 0.36810000000000004, -0.1272, 0.3582, -0.1154, 0.5967, -0.0076, 0.602, 0.005200000000000001, 0.5925, -0.0015, 0.601, -0.0026000000000000003, 0.5959, 0.059800000000000006, 0.3547, 0.13670000000000002, 0.3663, -0.1257, 0.3568, -0.12040000000000001, 0.6042000000000001, 0.009300000000000001, 0.5946, 0.0032, 0.5935, -0.0016, 0.5925, -0.0029000000000000002, 0.5953, 0.0099, 0.35150000000000003, 0.0095, 0.3699, 0.0002, 0.3497, 0.0063, 0.5977, 0.0034000000000000002, 0.5992000000000001, 0.0099, 0.595, 0.0092, 0.5997, 0.0085, -0.0011, 0.1192, -0.1346, 0.1277, 0.1164, 0.0037, -0.006900000000000001, 0.0048000000000000004, 0.0037, 0.1301, -0.132, 0.1019, 0.1077, 0.0041, -0.003, 0.0022, 0.012700000000000001, 0.133, -0.125, -0.13870000000000002, -0.053500000000000006, 0.005, -0.0048000000000000004, 0.001, 0.0025, 0.0071, 0.0031000000000000003, 0.0039000000000000003, 0.0029000000000000002, 0.0074, 0.0083, 0.0025], \"bitstrings\": [\"01010000\", \"01110000\"], \"total_optimization_steps\": 60, \"probabilities\": [0.0753856666167038, 0.0986324042251563], \"optimization_time\": 8.104200601577759}","6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 13.5 * Z(0) + 2.5 * Z(1) + 2.5 * Z(3) + 10.0 * Z(4) + 3.0 * Z(2) + 20.0 * Z(7) + 20.0 * Z(5) + 14.5 * Z(6)",18,8,4,"{\"smallest_eigenvalues\": [-76.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -66.0, \"smallest_bitstrings\": [\"01110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.5977) q[0];\nrz(0.0652) q[0];\nrx(0.3591) q[1];\nrz(0.1376) q[1];\nrx(0.3694) q[2];\nrz(-0.1247) q[2];\nrx(0.3484) q[3];\nrz(-0.1177) q[3];\nrx(0.6003) q[4];\nrz(-0.0033) q[4];\nrx(0.5946) q[5];\nrz(0.0031) q[5];\nrx(0.5983) q[6];\nrz(-0.0002) q[6];\nrx(0.601) q[7];\nrz(-0.0021) q[7];\ncrz(-0.0011) q[7], q[0];\ncrz(0.0048) q[6], q[7];\ncrz(-0.0069) q[5], q[6];\ncrz(0.0037) q[4], q[5];\ncrz(0.1164) q[3], q[4];\ncrz(0.1277) q[2], q[3];\ncrz(-0.1346) q[1], q[2];\ncrz(0.1192) q[0], q[1];\nrx(0.594) q[0];\nrz(0.0674) q[0];\nrx(0.3552) q[1];\nrz(0.1389) q[1];\nrx(0.3681) q[2];\nrz(-0.1272) q[2];\nrx(0.3582) q[3];\nrz(-0.1154) q[3];\nrx(0.5967) q[4];\nrz(-0.0076) q[4];\nrx(0.602) q[5];\nrz(0.0052) q[5];\nrx(0.5925) q[6];\nrz(-0.0015) q[6];\nrx(0.601) q[7];\nrz(-0.0026) q[7];\ncrz(0.0037) q[7], q[0];\ncrz(0.0022) q[6], q[7];\ncrz(-0.003) q[5], q[6];\ncrz(0.0041) q[4], q[5];\ncrz(0.1077) q[3], q[4];\ncrz(0.1019) q[2], q[3];\ncrz(-0.132) q[1], q[2];\ncrz(0.1301) q[0], q[1];\nrx(0.5959) q[0];\nrz(0.0598) q[0];\nrx(0.3547) q[1];\nrz(0.1367) q[1];\nrx(0.3663) q[2];\nrz(-0.1257) q[2];\nrx(0.3568) q[3];\nrz(-0.1204) q[3];\nrx(0.6042) q[4];\nrz(0.0093) q[4];\nrx(0.5946) q[5];\nrz(0.0032) q[5];\nrx(0.5935) q[6];\nrz(-0.0016) q[6];\nrx(0.5925) q[7];\nrz(-0.0029) q[7];\ncrz(0.0127) q[7], q[0];\ncrz(0.001) q[6], q[7];\ncrz(-0.0048) q[5], q[6];\ncrz(0.005) q[4], q[5];\ncrz(-0.0535) q[3], q[4];\ncrz(-0.1387) q[2], q[3];\ncrz(-0.125) q[1], q[2];\ncrz(0.133) q[0], q[1];\nrx(0.5953) q[0];\nrz(0.0099) q[0];\nrx(0.3515) q[1];\nrz(0.0095) q[1];\nrx(0.3699) q[2];\nrz(0.0002) q[2];\nrx(0.3497) q[3];\nrz(0.0063) q[3];\nrx(0.5977) q[4];\nrz(0.0034) q[4];\nrx(0.5992) q[5];\nrz(0.0099) q[5];\nrx(0.595) q[6];\nrz(0.0092) q[6];\nrx(0.5997) q[7];\nrz(0.0085) q[7];\ncrz(0.0025) q[7], q[0];\ncrz(0.0025) q[6], q[7];\ncrz(0.0083) q[5], q[6];\ncrz(0.0074) q[4], q[5];\ncrz(0.0029) q[3], q[4];\ncrz(0.0039) q[2], q[3];\ncrz(0.0031) q[1], q[2];\ncrz(0.0071) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[0];\ncrz(x17) q[6], q[7];\ncrz(x18) q[5], q[6];\ncrz(x19) q[4], q[5];\ncrz(x20) q[3], q[4];\ncrz(x21) q[2], q[3];\ncrz(x22) q[1], q[2];\ncrz(x23) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x14) q[7];\nrz(x38) q[7];\ncrz(x19) q[7], q[0];\ncrz(x39) q[6], q[7];\ncrz(x40) q[5], q[6];\ncrz(x41) q[4], q[5];\ncrz(x42) q[3], q[4];\ncrz(x43) q[2], q[3];\ncrz(x44) q[1], q[2];\ncrz(x45) q[0], q[1];\nrx(x46) q[0];\nrz(x47) q[0];\nrx(x48) q[1];\nrz(x49) q[1];\nrx(x50) q[2];\nrz(x51) q[2];\nrx(x52) q[3];\nrz(x53) q[3];\nrx(x54) q[4];\nrz(x55) q[4];\nrx(x10) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x36) q[7];\nrz(x59) q[7];\ncrz(x60) q[7], q[0];\ncrz(x61) q[6], q[7];\ncrz(x62) q[5], q[6];\ncrz(x63) q[4], q[5];\ncrz(x64) q[3], q[4];\ncrz(x65) q[2], q[3];\ncrz(x66) q[1], q[2];\ncrz(x67) q[0], q[1];\nrx(x68) q[0];\nrz(x69) q[0];\nrx(x70) q[1];\nrz(x71) q[1];\nrx(x72) q[2];\nrz(x73) q[2];\nrx(x74) q[3];\nrz(x75) q[3];\nrx(x0) q[4];\nrz(x76) q[4];\nrx(x77) q[5];\nrz(x69) q[5];\nrx(x78) q[6];\nrz(x79) q[6];\nrx(x80) q[7];\nrz(x81) q[7];\ncrz(x82) q[7], q[0];\ncrz(x82) q[6], q[7];\ncrz(x83) q[5], q[6];\ncrz(x84) q[4], q[5];\ncrz(x85) q[3], q[4];\ncrz(x86) q[2], q[3];\ncrz(x11) q[1], q[2];\ncrz(x87) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7], \\\"right_nodes\\\": [8, 9, 10]}\"}","{\"circuits\": [], \"gradients\": []}"]
["c5b30b94cad3afd2b2d3cf8b55cce16a","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 6, \"source\": 1, \"target\": 2}, {\"capacity\": 5, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 6, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 7, \"source\": 5, \"target\": 1}, {\"capacity\": 7, \"source\": 5, \"target\": 7}, {\"capacity\": 5, \"source\": 6, \"target\": 3}, {\"capacity\": 5, \"source\": 6, \"target\": 4}, {\"capacity\": 6, \"source\": 6, \"target\": 7}]}","{\"states\": [7, 23], \"expectation_value\": -1.5331200689642128, \"params\": [[0.0658], [-0.0692]], \"bitstrings\": [\"11111000\", \"11101000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00582306750869604, 0.006011960162306129], \"optimization_time\": 2.2264163494110107}","-0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3) @ Z(6)) + -2.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + 0.0 * Z(4) + 3.0 * Z(5) + -1.25 * Z(7) + 4.0 * Z(6) + -1.25 * Z(3)",1,8,1,"{\"smallest_eigenvalues\": [-18.25, -18.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -17.25, \"smallest_bitstrings\": [\"11101000\", \"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.0987) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.3619) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0658) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(-0.0987) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1974) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.2303) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0329) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0329) q[5];\ncx q[4], q[5];\ncx q[0], q[7];\nrz(0.2961) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(-0.0329) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.2303) q[7];\ncx q[5], q[7];\ncx q[4], q[6];\nrz(-0.1645) q[6];\ncx q[4], q[6];\ncx q[7], q[6];\nrz(-0.1974) q[6];\ncx q[7], q[6];\ncx q[6], q[3];\nrz(-0.1645) q[3];\ncx q[6], q[3];\nrz(-0.2961) q[1];\nrz(-0.0329) q[0];\nrz(-0.2632) q[2];\nrz(0) q[4];\nrz(0.3948) q[5];\nrz(-0.1645) q[7];\nrz(0.5264) q[6];\nrz(-0.1645) q[3];\nh q[0];\nrz(-0.1384) q[0];\nh q[0];\nh q[1];\nrz(-0.1384) q[1];\nh q[1];\nh q[2];\nrz(-0.1384) q[2];\nh q[2];\nh q[3];\nrz(-0.1384) q[3];\nh q[3];\nh q[4];\nrz(-0.1384) q[4];\nh q[4];\nh q[5];\nrz(-0.1384) q[5];\nh q[5];\nh q[6];\nrz(-0.1384) q[6];\nh q[6];\nh q[7];\nrz(-0.1384) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x5) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x5) q[5];\ncx q[4], q[5];\ncx q[0], q[7];\nrz(x6) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(x5) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x4) q[7];\ncx q[5], q[7];\ncx q[4], q[6];\nrz(x7) q[6];\ncx q[4], q[6];\ncx q[7], q[6];\nrz(x3) q[6];\ncx q[7], q[6];\ncx q[6], q[3];\nrz(x7) q[3];\ncx q[6], q[3];\nrz(x8) q[1];\nrz(x5) q[0];\nrz(x9) q[2];\nrz(x10) q[4];\nrz(x11) q[5];\nrz(x7) q[7];\nrz(x12) q[6];\nrz(x7) q[3];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\nh q[7];\nrz(x13) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["-1772138169485920227","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[0, 9, 3, 6], [0, 1, 4, 6, 9], [1, 6, 7, 9, 10], [1, 2, 7], [10, 5], [0, 9, 5, 7], [1, 4, 6, 7], [1, 5], [1, 2, 3, 4, 8], [0, 1, 4, 9, 10], [9, 2, 4, 7], [10, 3, 6], [9, 2, 3, 7], [0, 1, 2, 3, 8], [0, 3, 4, 7, 8], [2, 10], [8, 9, 10], [0, 3, 4, 7, 10], [9, 10, 3], [0, 3, 5, 6, 8], [8, 4, 6, 7], [2, 3, 5], [2, 6], [0, 10, 6, 7], [0, 2, 3, 7, 8]]}","{\"states\": [1869, 1870], \"expectation_value\": -5.280551673383357, \"params\": [1.5664, 1.572, 2.1794000000000002, 0.8661000000000001, 1.3906, 1.6552, 0.008, -0.0038, 2.2927, 0.8478, 1.353, 1.6543, 0.0227, -0.0165, 1.5546, 1.5802, 2.0678, 1.0298, 1.3185, 1.8264, 0.6992, 0.7536, 1.49, 2.1523000000000003, -0.041, 0.1598, 1.3204, 0.5249, -0.0011, 0.254, 0.5414, -0.0035, -0.223, 0.5153, -0.010100000000000001, 2.3672, 0.431, -0.0036000000000000003, -0.0204, 0.1565, 0.9978, 0.42450000000000004, 0.13570000000000002, 1.1917], \"bitstrings\": [\"00010110010\", \"00010110001\"], \"total_optimization_steps\": 240, \"probabilities\": [0.3474496528680667, 0.39660831795442064], \"optimization_time\": 12.828952550888062}","0.26666666666666666 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(4) @ Z(10)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(10)) + 0.26666666666666666 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(1) @ Z(10)) + 0.15000000000000002 * (Z(1) @ Z(0)) + 0.1 * (Z(1) @ Z(4)) + 0.18333333333333335 * (Z(1) @ Z(7)) + 0.18333333333333335 * (Z(5) @ Z(10)) + 0.2 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(7)) + 0.23333333333333334 * (Z(5) @ Z(1)) + 0.3 * (Z(8) @ Z(10)) + 0.31666666666666665 * (Z(8) @ Z(0)) + 0.23333333333333334 * (Z(8) @ Z(4)) + 0.3 * (Z(8) @ Z(7)) + 0.3 * (Z(8) @ Z(1)) + 0.35 * (Z(8) @ Z(5)) + 0.43333333333333335 * (Z(2) @ Z(10)) + 0.18333333333333335 * (Z(2) @ Z(0)) + 0.3833333333333333 * (Z(2) @ Z(4)) + 0.3 * (Z(2) @ Z(7)) + 0.1 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(5)) + 0.18333333333333335 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.1 * (Z(3) @ Z(0)) + 0.39999999999999997 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.26666666666666666 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(5)) + 0.3833333333333333 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(10)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(10)) + 0.2 * (Z(9) @ Z(0)) + 0.25 * (Z(9) @ Z(4)) + 0.13333333333333333 * (Z(9) @ Z(7)) + 0.1 * (Z(9) @ Z(1)) + 0.18333333333333335 * (Z(9) @ Z(5)) + 0.18333333333333335 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.15000000000000002 * (Z(9) @ Z(3)) + 0.05 * (Z(9) @ Z(6)) + 1.1333333333333333 * Z(10) + 1.075 * Z(0) + 1.35 * Z(4) + 0.9666666666666663 * Z(7) + 0.7916666666666665 * Z(1) + 0.8750000000000002 * Z(5) + 1.316666666666667 * Z(8) + 0.9249999999999998 * Z(2) + 0.8833333333333326 * Z(3) + 0.3916666666666666 * Z(6) + 0.7916666666666666 * Z(9)",14,11,1,"{\"smallest_eigenvalues\": [-5.633333333333334], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.5166666666666675, \"smallest_bitstrings\": [\"00010110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(1.5664) q[0];\nry(2.1794) q[1];\nry(1.3906) q[2];\nry(0.008) q[3];\nry(2.2927) q[4];\nry(1.353) q[5];\nry(0.0227) q[6];\nry(1.5546) q[7];\nry(2.0678) q[8];\nry(1.3185) q[9];\nry(0.6992) q[10];\ncrx(1.49) q[10], q[0];\ncrx(0.1357) q[9], q[10];\ncrx(0.9978) q[8], q[9];\ncrx(-0.0204) q[7], q[8];\ncrx(0.431) q[6], q[7];\ncrx(-0.0101) q[5], q[6];\ncrx(-0.223) q[4], q[5];\ncrx(0.5414) q[3], q[4];\ncrx(-0.0011) q[2], q[3];\ncrx(1.3204) q[1], q[2];\ncrx(-0.041) q[0], q[1];\nry(1.572) q[0];\nry(0.8661) q[1];\nry(1.6552) q[2];\nry(-0.0038) q[3];\nry(0.8478) q[4];\nry(1.6543) q[5];\nry(-0.0165) q[6];\nry(1.5802) q[7];\nry(1.0298) q[8];\nry(1.8264) q[9];\nry(0.7536) q[10];\ncrx(2.1523) q[10], q[9];\ncrx(0.1598) q[0], q[10];\ncrx(0.5249) q[0], q[1];\ncrx(0.254) q[1], q[2];\ncrx(-0.0035) q[2], q[3];\ncrx(0.5153) q[3], q[4];\ncrx(2.3672) q[4], q[5];\ncrx(-0.0036) q[5], q[6];\ncrx(0.1565) q[6], q[7];\ncrx(0.4245) q[7], q[8];\ncrx(1.1917) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrx(x11) q[10], q[0];\ncrx(x12) q[9], q[10];\ncrx(x13) q[8], q[9];\ncrx(x14) q[7], q[8];\ncrx(x15) q[6], q[7];\ncrx(x16) q[5], q[6];\ncrx(x17) q[4], q[5];\ncrx(x18) q[3], q[4];\ncrx(x19) q[2], q[3];\ncrx(x20) q[1], q[2];\ncrx(x21) q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncrx(x33) q[10], q[9];\ncrx(x34) q[0], q[10];\ncrx(x35) q[0], q[1];\ncrx(x36) q[1], q[2];\ncrx(x37) q[2], q[3];\ncrx(x38) q[3], q[4];\ncrx(x39) q[4], q[5];\ncrx(x40) q[5], q[6];\ncrx(x41) q[6], q[7];\ncrx(x42) q[7], q[8];\ncrx(x43) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["1cfe150f067bc5d84efb3a14c35d5953","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [96, 104], \"expectation_value\": -1.3522245186905923, \"params\": [[[0.4672, -0.24000000000000002, 0.0017000000000000001, 0.0094], [0.4687, 0.2553, 0.5017, 0.0108], [0.4913, -0.0654, 0.5021, -0.055400000000000005], [-0.44210000000000005, -0.0325, 0.49870000000000003, -0.0091], [0.4979, 0.006900000000000001, 0.5048, -0.011000000000000001], [-0.0054, -0.1416, -0.0502, 0.0086], [0.1321, 0.18460000000000001, 0.132, -0.083], [-0.003, -0.0485, 0.001, 0.007500000000000001]], [[0.2162, -0.251, 0.0016, 0.0002], [-0.47190000000000004, -0.2419, 0.47000000000000003, 0.0031000000000000003], [0.49760000000000004, 0.0017000000000000001, 0.4974, 0.00030000000000000003], [0.4995, 0.0855, 0.2043, 0.001], [0.4973, -0.006, 0.5001, 0.0091], [0.0637, 0.0165, -0.0051, 0.0058000000000000005], [0.008700000000000001, -0.0158, 0.0177, 0.0067], [0.010100000000000001, 0.0082, 0.004200000000000001, 0.007]]], \"bitstrings\": [\"10011111\", \"10010111\"], \"total_optimization_steps\": 50, \"probabilities\": [0.14371256062181462, 0.21115990211598087], \"optimization_time\": 6.771308898925781}","0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(5) @ Z(6) @ Z(1)) + -0.125 * (Z(5) @ Z(7) @ Z(1)) + -0.125 * (Z(6) @ Z(7) @ Z(1)) + -0.125 * (Z(5) @ Z(7) @ Z(6)) + 0.125 * (Z(6) @ Z(5) @ Z(7) @ Z(1)) + -0.125 * Z(0) + -0.125 * Z(1) + -0.125 * Z(2) + -0.625 * Z(3) + -0.125 * Z(4) + -0.625 * Z(5) + -0.125 * Z(6) + -0.125 * Z(7)",11,8,2,"{\"smallest_eigenvalues\": [-2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -1.75, \"smallest_bitstrings\": [\"01010111\", \"01011110\", \"01110101\", \"01111100\", \"10010111\", \"10011110\", \"10111100\", \"10110101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.4672) q[0];\nrz(-0.24) q[0];\nry(0.4687) q[1];\nrz(0.2553) q[1];\nry(0.4913) q[2];\nrz(-0.0654) q[2];\nry(-0.4421) q[3];\nrz(-0.0325) q[3];\nry(0.4979) q[4];\nrz(0.0069) q[4];\nry(-0.0054) q[5];\nrz(-0.1416) q[5];\nry(0.1321) q[6];\nrz(0.1846) q[6];\nry(-0.003) q[7];\nrz(-0.0485) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.5017) q[1];\nrz(0.0108) q[1];\nry(0.5021) q[2];\nrz(-0.0554) q[2];\ncx q[2], q[1];\nry(0.4987) q[3];\nrz(-0.0091) q[3];\nry(0.5048) q[4];\nrz(-0.011) q[4];\ncx q[4], q[3];\nry(-0.0502) q[5];\nrz(0.0086) q[5];\nry(0.132) q[6];\nrz(-0.083) q[6];\ncx q[6], q[5];\nry(0.2162) q[0];\nrz(-0.251) q[0];\nry(-0.4719) q[1];\nrz(-0.2419) q[1];\nry(0.4976) q[2];\nrz(0.0017) q[2];\nry(0.4995) q[3];\nrz(0.0855) q[3];\nry(0.4973) q[4];\nrz(-0.006) q[4];\nry(0.0637) q[5];\nrz(0.0165) q[5];\nry(0.0087) q[6];\nrz(-0.0158) q[6];\nry(0.0101) q[7];\nrz(0.0082) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.47) q[1];\nrz(0.0031) q[1];\nry(0.4974) q[2];\nrz(0.0003) q[2];\ncx q[2], q[1];\nry(0.2043) q[3];\nrz(0.001) q[3];\nry(0.5001) q[4];\nrz(0.0091) q[4];\ncx q[4], q[3];\nry(-0.0051) q[5];\nrz(0.0058) q[5];\nry(0.0177) q[6];\nrz(0.0067) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x16) q[1];\nrz(x17) q[1];\nry(x18) q[2];\nrz(x19) q[2];\ncx q[2], q[1];\nry(x20) q[3];\nrz(x21) q[3];\nry(x22) q[4];\nrz(x23) q[4];\ncx q[4], q[3];\nry(x24) q[5];\nrz(x25) q[5];\nry(x26) q[6];\nrz(x27) q[6];\ncx q[6], q[5];\nry(x28) q[0];\nrz(x29) q[0];\nry(x30) q[1];\nrz(x31) q[1];\nry(x32) q[2];\nrz(x33) q[2];\nry(x34) q[3];\nrz(x35) q[3];\nry(x36) q[4];\nrz(x37) q[4];\nry(x38) q[5];\nrz(x39) q[5];\nry(x40) q[6];\nrz(x41) q[6];\nry(x42) q[7];\nrz(x43) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x44) q[1];\nrz(x45) q[1];\nry(x46) q[2];\nrz(x47) q[2];\ncx q[2], q[1];\nry(x48) q[3];\nrz(x49) q[3];\nry(x50) q[4];\nrz(x51) q[4];\ncx q[4], q[3];\nry(x52) q[5];\nrz(x53) q[5];\nry(x54) q[6];\nrz(x55) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["1cf62c7ab33fc7566dad05641a882509","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [89, 38], \"expectation_value\": -0.2798035810904134, \"params\": [[-0.0381, 0.07200000000000001], [0.0649, -0.0502]], \"bitstrings\": [\"0100110\", \"1011001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009074929551001816, 0.009251905731392071], \"optimization_time\": 3.619048833847046}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(6) + -1.0 * Z(4)",1,7,2,"{\"smallest_eigenvalues\": [-5.5, -5.5, -5.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0101110\", \"0100111\", \"1011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0381) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(-0.0381) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(-0.0381) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(-0.0381) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(-0.0381) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(-0.0381) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(-0.0381) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.0381) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(-0.0381) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(-0.0381) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0381) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.0381) q[4];\ncx q[6], q[4];\nrz(0.1143) q[1];\nrz(0.0381) q[0];\nrz(0.1143) q[5];\nrz(0.0762) q[2];\nrz(0.1143) q[3];\nrz(0.1143) q[6];\nrz(0.0762) q[4];\nh q[0];\nrz(0.1298) q[0];\nh q[0];\nh q[1];\nrz(0.1298) q[1];\nh q[1];\nh q[2];\nrz(0.1298) q[2];\nh q[2];\nh q[3];\nrz(0.1298) q[3];\nh q[3];\nh q[4];\nrz(0.1298) q[4];\nh q[4];\nh q[5];\nrz(0.1298) q[5];\nh q[5];\nh q[6];\nrz(0.1298) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.072) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(0.072) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(0.072) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(0.072) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(0.072) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(0.072) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(0.072) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.072) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(0.072) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(0.072) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.072) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(0.072) q[4];\ncx q[6], q[4];\nrz(-0.216) q[1];\nrz(-0.072) q[0];\nrz(-0.216) q[5];\nrz(-0.144) q[2];\nrz(-0.216) q[3];\nrz(-0.216) q[6];\nrz(-0.144) q[4];\nh q[0];\nrz(-0.1004) q[0];\nh q[0];\nh q[1];\nrz(-0.1004) q[1];\nh q[1];\nh q[2];\nrz(-0.1004) q[2];\nh q[2];\nh q[3];\nrz(-0.1004) q[3];\nh q[3];\nh q[4];\nrz(-0.1004) q[4];\nh q[4];\nh q[5];\nrz(-0.1004) q[5];\nh q[5];\nh q[6];\nrz(-0.1004) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x1) q[5];\nrz(x3) q[2];\nrz(x1) q[3];\nrz(x1) q[6];\nrz(x3) q[4];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x5) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x5) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x5) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(x5) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(x5) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(x5) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x5) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x5) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x5) q[4];\ncx q[6], q[4];\nrz(x6) q[1];\nrz(x7) q[0];\nrz(x6) q[5];\nrz(x8) q[2];\nrz(x6) q[3];\nrz(x6) q[6];\nrz(x8) q[4];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["0f265d41f16664956431af1416624534","community_detection","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 1, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 1, \"target\": 3}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 1, \"source\": 2, \"target\": 6}, {\"weight\": 1, \"source\": 3, \"target\": 4}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 1, \"source\": 4, \"target\": 6}, {\"weight\": 1, \"source\": 5, \"target\": 6}, {\"weight\": 1, \"source\": 5, \"target\": 7}, {\"weight\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [21930, 43605], \"expectation_value\": -0.023509141281043686, \"params\": [[-0.0804], [0.0742]], \"bitstrings\": [\"1010101001010101\", \"0101010110101010\"], \"total_optimization_steps\": 10, \"probabilities\": [1.67688534574673e-05, 1.67688534574673e-05], \"optimization_time\": 12.639034509658813}","0.25 * (Z(0) @ Z(1)) + -0.000981404958677686 * (Z(2) @ Z(0)) + -0.000981404958677686 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0001549586776859504 * (Z(4) @ Z(0)) + -0.0006714876033057851 * (Z(4) @ Z(2)) + 0.0001549586776859504 * (Z(5) @ Z(1)) + -0.0006714876033057851 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001549586776859504 * (Z(6) @ Z(0)) + -0.0006714876033057851 * (Z(6) @ Z(2)) + -0.0006714876033057851 * (Z(6) @ Z(4)) + 0.0001549586776859504 * (Z(7) @ Z(1)) + -0.0006714876033057851 * (Z(7) @ Z(3)) + -0.0006714876033057851 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.0001549586776859504 * (Z(8) @ Z(0)) + 0.0004648760330578513 * (Z(8) @ Z(2)) + 0.0004648760330578513 * (Z(8) @ Z(4)) + -0.0006714876033057851 * (Z(8) @ Z(6)) + 0.0001549586776859504 * (Z(9) @ Z(1)) + 0.0004648760330578513 * (Z(9) @ Z(3)) + 0.0004648760330578513 * (Z(9) @ Z(5)) + -0.0006714876033057851 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + 0.0001549586776859504 * (Z(10) @ Z(0)) + 0.0004648760330578513 * (Z(10) @ Z(2)) + 0.0004648760330578513 * (Z(10) @ Z(4)) + 0.0004648760330578513 * (Z(10) @ Z(6)) + -0.0006714876033057851 * (Z(10) @ Z(8)) + 0.0001549586776859504 * (Z(11) @ Z(1)) + 0.0004648760330578513 * (Z(11) @ Z(3)) + 0.0004648760330578513 * (Z(11) @ Z(5)) + 0.0004648760330578513 * (Z(11) @ Z(7)) + -0.0006714876033057851 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + 0.0002066115702479339 * (Z(12) @ Z(0)) + 0.0006198347107438016 * (Z(12) @ Z(2)) + -0.0005165289256198348 * (Z(12) @ Z(4)) + 0.0006198347107438016 * (Z(12) @ Z(6)) + -0.0005165289256198348 * (Z(12) @ Z(8)) + -0.0005165289256198348 * (Z(12) @ Z(10)) + 0.0002066115702479339 * (Z(13) @ Z(1)) + 0.0006198347107438016 * (Z(13) @ Z(3)) + -0.0005165289256198348 * (Z(13) @ Z(5)) + 0.0006198347107438016 * (Z(13) @ Z(7)) + -0.0005165289256198348 * (Z(13) @ Z(9)) + -0.0005165289256198348 * (Z(13) @ Z(11)) + 0.25 * (Z(13) @ Z(12)) + 0.00010330578512396695 * (Z(14) @ Z(0)) + 0.0003099173553719008 * (Z(14) @ Z(2)) + 0.0003099173553719008 * (Z(14) @ Z(4)) + 0.0003099173553719008 * (Z(14) @ Z(6)) + 0.0003099173553719008 * (Z(14) @ Z(8)) + -0.0008264462809917356 * (Z(14) @ Z(10)) + -0.0007231404958677687 * (Z(14) @ Z(12)) + 0.00010330578512396695 * (Z(15) @ Z(1)) + 0.0003099173553719008 * (Z(15) @ Z(3)) + 0.0003099173553719008 * (Z(15) @ Z(5)) + 0.0003099173553719008 * (Z(15) @ Z(7)) + 0.0003099173553719008 * (Z(15) @ Z(9)) + -0.0008264462809917356 * (Z(15) @ Z(11)) + -0.0007231404958677687 * (Z(15) @ Z(13)) + 0.25 * (Z(15) @ Z(14)) + -5.165289256200967e-05 * Z(1) + -5.165289256200967e-05 * Z(0) + -0.0004648760330578372 * Z(2) + -0.0004648760330578372 * Z(3) + -0.00046487603305786496 * Z(4) + -0.00046487603305786496 * Z(5) + -0.0004648760330578372 * Z(6) + -0.0004648760330578372 * Z(7) + -0.0004648760330578927 * Z(8) + -0.0004648760330578927 * Z(9) + -0.00046487603305786496 * Z(10) + -0.00046487603305786496 * Z(11) + -0.0008264462809917383 * Z(12) + -0.0008264462809917383 * Z(13) + -0.00020661157024792765 * Z(14) + -0.00020661157024792765 * Z(15)",1,16,1,"{\"smallest_eigenvalues\": [-2.019111570247904], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.019111570247839, \"smallest_bitstrings\": [\"0101010110101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(-0.0402) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0002) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0002) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0402) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0001) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.0001) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0402) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0001) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.0001) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(0) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.0001) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.0001) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0402) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(0) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(-0.0001) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(-0.0001) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(0.0001) q[8];\ncx q[6], q[8];\ncx q[1], q[9];\nrz(0) q[9];\ncx q[1], q[9];\ncx q[3], q[9];\nrz(-0.0001) q[9];\ncx q[3], q[9];\ncx q[5], q[9];\nrz(-0.0001) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(0.0001) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(-0.0402) q[9];\ncx q[8], q[9];\ncx q[0], q[10];\nrz(0) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(-0.0001) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(-0.0001) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(-0.0001) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(0.0001) q[10];\ncx q[8], q[10];\ncx q[1], q[11];\nrz(0) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(-0.0001) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(-0.0001) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(-0.0001) q[11];\ncx q[7], q[11];\ncx q[9], q[11];\nrz(0.0001) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.0402) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(0) q[12];\ncx q[0], q[12];\ncx q[2], q[12];\nrz(-0.0001) q[12];\ncx q[2], q[12];\ncx q[4], q[12];\nrz(0.0001) q[12];\ncx q[4], q[12];\ncx q[6], q[12];\nrz(-0.0001) q[12];\ncx q[6], q[12];\ncx q[8], q[12];\nrz(0.0001) q[12];\ncx q[8], q[12];\ncx q[10], q[12];\nrz(0.0001) q[12];\ncx q[10], q[12];\ncx q[1], q[13];\nrz(0) q[13];\ncx q[1], q[13];\ncx q[3], q[13];\nrz(-0.0001) q[13];\ncx q[3], q[13];\ncx q[5], q[13];\nrz(0.0001) q[13];\ncx q[5], q[13];\ncx q[7], q[13];\nrz(-0.0001) q[13];\ncx q[7], q[13];\ncx q[9], q[13];\nrz(0.0001) q[13];\ncx q[9], q[13];\ncx q[11], q[13];\nrz(0.0001) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(-0.0402) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(0) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(0) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(0) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(0) q[14];\ncx q[6], q[14];\ncx q[8], q[14];\nrz(0) q[14];\ncx q[8], q[14];\ncx q[10], q[14];\nrz(0.0001) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(0.0001) q[14];\ncx q[12], q[14];\ncx q[1], q[15];\nrz(0) q[15];\ncx q[1], q[15];\ncx q[3], q[15];\nrz(0) q[15];\ncx q[3], q[15];\ncx q[5], q[15];\nrz(0) q[15];\ncx q[5], q[15];\ncx q[7], q[15];\nrz(0) q[15];\ncx q[7], q[15];\ncx q[9], q[15];\nrz(0) q[15];\ncx q[9], q[15];\ncx q[11], q[15];\nrz(0.0001) q[15];\ncx q[11], q[15];\ncx q[13], q[15];\nrz(0.0001) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(-0.0402) q[15];\ncx q[14], q[15];\nrz(0) q[1];\nrz(0) q[0];\nrz(0.0001) q[2];\nrz(0.0001) q[3];\nrz(0.0001) q[4];\nrz(0.0001) q[5];\nrz(0.0001) q[6];\nrz(0.0001) q[7];\nrz(0.0001) q[8];\nrz(0.0001) q[9];\nrz(0.0001) q[10];\nrz(0.0001) q[11];\nrz(0.0001) q[12];\nrz(0.0001) q[13];\nrz(0) q[14];\nrz(0) q[15];\nh q[0];\nrz(0.1484) q[0];\nh q[0];\nh q[1];\nrz(0.1484) q[1];\nh q[1];\nh q[2];\nrz(0.1484) q[2];\nh q[2];\nh q[3];\nrz(0.1484) q[3];\nh q[3];\nh q[4];\nrz(0.1484) q[4];\nh q[4];\nh q[5];\nrz(0.1484) q[5];\nh q[5];\nh q[6];\nrz(0.1484) q[6];\nh q[6];\nh q[7];\nrz(0.1484) q[7];\nh q[7];\nh q[8];\nrz(0.1484) q[8];\nh q[8];\nh q[9];\nrz(0.1484) q[9];\nh q[9];\nh q[10];\nrz(0.1484) q[10];\nh q[10];\nh q[11];\nrz(0.1484) q[11];\nh q[11];\nh q[12];\nrz(0.1484) q[12];\nh q[12];\nh q[13];\nrz(0.1484) q[13];\nh q[13];\nh q[14];\nrz(0.1484) q[14];\nh q[14];\nh q[15];\nrz(0.1484) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x3) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x2) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x3) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x3) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x2) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(x4) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(x4) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x3) q[8];\ncx q[6], q[8];\ncx q[1], q[9];\nrz(x2) q[9];\ncx q[1], q[9];\ncx q[3], q[9];\nrz(x4) q[9];\ncx q[3], q[9];\ncx q[5], q[9];\nrz(x4) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(x3) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(x0) q[9];\ncx q[8], q[9];\ncx q[0], q[10];\nrz(x2) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(x4) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x4) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x4) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x3) q[10];\ncx q[8], q[10];\ncx q[1], q[11];\nrz(x2) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(x4) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(x4) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(x4) q[11];\ncx q[7], q[11];\ncx q[9], q[11];\nrz(x3) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x2) q[12];\ncx q[0], q[12];\ncx q[2], q[12];\nrz(x4) q[12];\ncx q[2], q[12];\ncx q[4], q[12];\nrz(x3) q[12];\ncx q[4], q[12];\ncx q[6], q[12];\nrz(x4) q[12];\ncx q[6], q[12];\ncx q[8], q[12];\nrz(x3) q[12];\ncx q[8], q[12];\ncx q[10], q[12];\nrz(x3) q[12];\ncx q[10], q[12];\ncx q[1], q[13];\nrz(x2) q[13];\ncx q[1], q[13];\ncx q[3], q[13];\nrz(x4) q[13];\ncx q[3], q[13];\ncx q[5], q[13];\nrz(x3) q[13];\ncx q[5], q[13];\ncx q[7], q[13];\nrz(x4) q[13];\ncx q[7], q[13];\ncx q[9], q[13];\nrz(x3) q[13];\ncx q[9], q[13];\ncx q[11], q[13];\nrz(x3) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(x2) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(x2) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(x2) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(x2) q[14];\ncx q[6], q[14];\ncx q[8], q[14];\nrz(x2) q[14];\ncx q[8], q[14];\ncx q[10], q[14];\nrz(x3) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x3) q[14];\ncx q[12], q[14];\ncx q[1], q[15];\nrz(x2) q[15];\ncx q[1], q[15];\ncx q[3], q[15];\nrz(x2) q[15];\ncx q[3], q[15];\ncx q[5], q[15];\nrz(x2) q[15];\ncx q[5], q[15];\ncx q[7], q[15];\nrz(x2) q[15];\ncx q[7], q[15];\ncx q[9], q[15];\nrz(x2) q[15];\ncx q[9], q[15];\ncx q[11], q[15];\nrz(x3) q[15];\ncx q[11], q[15];\ncx q[13], q[15];\nrz(x3) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x0) q[15];\ncx q[14], q[15];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x3) q[4];\nrz(x3) q[5];\nrz(x3) q[6];\nrz(x3) q[7];\nrz(x3) q[8];\nrz(x3) q[9];\nrz(x3) q[10];\nrz(x3) q[11];\nrz(x3) q[12];\nrz(x3) q[13];\nrz(x2) q[14];\nrz(x2) q[15];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nh q[11];\nrz(x5) q[11];\nh q[11];\nh q[12];\nrz(x5) q[12];\nh q[12];\nh q[13];\nrz(x5) q[13];\nh q[13];\nh q[14];\nrz(x5) q[14];\nh q[14];\nh q[15];\nrz(x5) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"communities_size\": 4, \"number_of_communities\": 2}","{\"circuits\": [], \"gradients\": []}"]
["95cd968028de95e9bd1f0d835e513284","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [204, 206], \"expectation_value\": -2.7378711699882143, \"params\": [0.10200000000000001, -0.12760000000000002, 0.1009, -0.1452, 0.4339, -0.015000000000000001, 0.4123, -0.0233, 0.35860000000000003, -0.0723, 0.4015, -0.0675, -0.006, 0.2058, 0.0018000000000000002, 0.20700000000000002, -0.0105, 0.233, -0.0056, 0.23620000000000002, 0.38270000000000004, -0.1456, 0.3981, -0.1272, 0.38280000000000003, -0.1356, 0.4042, -0.1208, 0.3037, 0.06570000000000001, 0.3017, 0.0514, 0.254, -0.1903, 0.2336, -0.20140000000000002, 0.10550000000000001, -0.153, 0.09860000000000001, -0.1847, 0.406, -0.022000000000000002, 0.3527, -0.0371, 0.39130000000000004, -0.0634, 0.4272, -0.059800000000000006, 0.0035, 0.2122, 0.0076, 0.219, -0.0056, 0.2546, -0.0067, 0.203, 0.39330000000000004, -0.12350000000000001, 0.4262, -0.1233, 0.403, -0.1192, 0.42300000000000004, -0.11420000000000001, 0.2967, 0.0432, 0.2937, 0.021, 0.22540000000000002, -0.20400000000000001, 0.1467, -0.2169, 0.0974, -0.2121, 0.0698, -0.21630000000000002, 0.3513, -0.0436, 0.304, -0.048100000000000004, 0.43210000000000004, -0.0533, 0.4032, -0.0574, -0.0063, 0.23650000000000002, 0.0082, 0.23600000000000002, -0.0068000000000000005, 0.1439, 0.0037, 0.1756, 0.4228, -0.12010000000000001, 0.3995, -0.12050000000000001, 0.42110000000000003, -0.1076, 0.3961, -0.1087, 0.2889, -0.00030000000000000003, 0.2586, -0.0061, 0.1393, -0.22110000000000002, 0.1462, -0.21630000000000002, 0.07880000000000001, -0.1985, 0.303, 0.006900000000000001, 0.2899, -0.046700000000000005, 0.2918, 0.0081, 0.4025, -0.0476, 0.3121, 0.0037, 0.0091, 0.2343, -0.0077, 0.0077, 0.0051, 0.2235, -0.0166, 0.0074, 0.40190000000000003, -0.1203, 0.34, 0.0066, 0.3962, -0.10060000000000001, 0.3453, 0.0004, 0.2793, -0.0159, 0.2987, 0.005200000000000001, 0.16870000000000002, -0.17250000000000001, 0.4859, 0.00030000000000000003, -0.1758, -0.0441, 0.0448, 0.1091, 0.1097, 0.0274, 0.0201, -0.016800000000000002, -0.2214, -0.22790000000000002, -0.0776, 0.0582, 0.12940000000000002, 0.126, 0.0454, 0.0461, -0.022000000000000002, -0.25, -0.28800000000000003, -0.1046, 0.0027, 0.17600000000000002, 0.1573, 0.0711, 0.0587, -0.07970000000000001, -0.27290000000000003, -0.30670000000000003, -0.1293, 0.0114, 0.0955, 0.0873, 0.12250000000000001, 0.10540000000000001, -0.1135, -0.27080000000000004], \"bitstrings\": [\"100110011\", \"100110001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.14789119145774793, 0.7084101705424936], \"optimization_time\": 243.49848985671997}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(8) @ Z(6)) + -0.125 * (Z(5) @ Z(6) @ Z(1)) + -0.125 * (Z(5) @ Z(8) @ Z(1)) + -0.125 * (Z(8) @ Z(6) @ Z(1)) + -0.125 * (Z(5) @ Z(8) @ Z(6)) + 0.125 * (Z(5) @ Z(8) @ Z(6) @ Z(1)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(8) @ Z(2)) + -0.25 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.125 * Z(5) + -0.125 * Z(6) + -0.25 * Z(7) + 0.125 * Z(8)",5,9,4,"{\"smallest_eigenvalues\": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], \"number_of_smallest_eigenvalues\": 12, \"first_excited_energy\": -2.125, \"smallest_bitstrings\": [\"001011010\", \"100100110\", \"100100101\", \"010110010\", \"101011000\", \"101100100\", \"001100110\", \"010100110\", \"100110001\", \"100011010\", \"010011010\", \"100011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.102) q[0];\nrz(-0.1276) q[0];\nrx(0.4339) q[1];\nrz(-0.015) q[1];\nrx(0.3586) q[2];\nrz(-0.0723) q[2];\nrx(-0.006) q[3];\nrz(0.2058) q[3];\nrx(-0.0105) q[4];\nrz(0.233) q[4];\nrx(0.3827) q[5];\nrz(-0.1456) q[5];\nrx(0.3828) q[6];\nrz(-0.1356) q[6];\nrx(0.3037) q[7];\nrz(0.0657) q[7];\nrx(0.254) q[8];\nrz(-0.1903) q[8];\ncrz(-0.0168) q[8], q[7];\ncrz(0.0201) q[8], q[6];\ncrz(0.0274) q[8], q[5];\ncrz(0.1097) q[8], q[4];\ncrz(0.1091) q[8], q[3];\ncrz(0.0448) q[8], q[2];\ncrz(-0.0441) q[8], q[1];\ncrz(-0.1758) q[8], q[0];\ncrz(-0.2214) q[7], q[8];\ncrz(0.0201) q[7], q[6];\ncrz(0.0274) q[7], q[5];\ncrz(0.1097) q[7], q[4];\ncrz(0.1091) q[7], q[3];\ncrz(0.0448) q[7], q[2];\ncrz(-0.0441) q[7], q[1];\ncrz(-0.1758) q[7], q[0];\ncrz(-0.2214) q[6], q[8];\ncrz(-0.0168) q[6], q[7];\ncrz(0.0274) q[6], q[5];\ncrz(0.1097) q[6], q[4];\ncrz(0.1091) q[6], q[3];\ncrz(0.0448) q[6], q[2];\ncrz(-0.0441) q[6], q[1];\ncrz(-0.1758) q[6], q[0];\ncrz(-0.2214) q[5], q[8];\ncrz(-0.0168) q[5], q[7];\ncrz(0.0201) q[5], q[6];\ncrz(0.1097) q[5], q[4];\ncrz(0.1091) q[5], q[3];\ncrz(0.0448) q[5], q[2];\ncrz(-0.0441) q[5], q[1];\ncrz(-0.1758) q[5], q[0];\ncrz(-0.2214) q[4], q[8];\ncrz(-0.0168) q[4], q[7];\ncrz(0.0201) q[4], q[6];\ncrz(0.0274) q[4], q[5];\ncrz(0.1091) q[4], q[3];\ncrz(0.0448) q[4], q[2];\ncrz(-0.0441) q[4], q[1];\ncrz(-0.1758) q[4], q[0];\ncrz(-0.2214) q[3], q[8];\ncrz(-0.0168) q[3], q[7];\ncrz(0.0201) q[3], q[6];\ncrz(0.0274) q[3], q[5];\ncrz(0.1097) q[3], q[4];\ncrz(0.0448) q[3], q[2];\ncrz(-0.0441) q[3], q[1];\ncrz(-0.1758) q[3], q[0];\ncrz(-0.2214) q[2], q[8];\ncrz(-0.0168) q[2], q[7];\ncrz(0.0201) q[2], q[6];\ncrz(0.0274) q[2], q[5];\ncrz(0.1097) q[2], q[4];\ncrz(0.1091) q[2], q[3];\ncrz(-0.0441) q[2], q[1];\ncrz(-0.1758) q[2], q[0];\ncrz(-0.2214) q[1], q[8];\ncrz(-0.0168) q[1], q[7];\ncrz(0.0201) q[1], q[6];\ncrz(0.0274) q[1], q[5];\ncrz(0.1097) q[1], q[4];\ncrz(0.1091) q[1], q[3];\ncrz(0.0448) q[1], q[2];\ncrz(-0.1758) q[1], q[0];\ncrz(-0.2214) q[0], q[8];\ncrz(-0.0168) q[0], q[7];\ncrz(0.0201) q[0], q[6];\ncrz(0.0274) q[0], q[5];\ncrz(0.1097) q[0], q[4];\ncrz(0.1091) q[0], q[3];\ncrz(0.0448) q[0], q[2];\ncrz(-0.0441) q[0], q[1];\nrx(0.1009) q[0];\nrz(-0.1452) q[0];\nrx(0.4123) q[1];\nrz(-0.0233) q[1];\nrx(0.4015) q[2];\nrz(-0.0675) q[2];\nrx(0.0018) q[3];\nrz(0.207) q[3];\nrx(-0.0056) q[4];\nrz(0.2362) q[4];\nrx(0.3981) q[5];\nrz(-0.1272) q[5];\nrx(0.4042) q[6];\nrz(-0.1208) q[6];\nrx(0.3017) q[7];\nrz(0.0514) q[7];\nrx(0.2336) q[8];\nrz(-0.2014) q[8];\nrx(0.1055) q[0];\nrz(-0.153) q[0];\nrx(0.406) q[1];\nrz(-0.022) q[1];\nrx(0.3913) q[2];\nrz(-0.0634) q[2];\nrx(0.0035) q[3];\nrz(0.2122) q[3];\nrx(-0.0056) q[4];\nrz(0.2546) q[4];\nrx(0.3933) q[5];\nrz(-0.1235) q[5];\nrx(0.403) q[6];\nrz(-0.1192) q[6];\nrx(0.2967) q[7];\nrz(0.0432) q[7];\nrx(0.2254) q[8];\nrz(-0.204) q[8];\ncrz(-0.022) q[8], q[7];\ncrz(0.0461) q[8], q[6];\ncrz(0.0454) q[8], q[5];\ncrz(0.126) q[8], q[4];\ncrz(0.1294) q[8], q[3];\ncrz(0.0582) q[8], q[2];\ncrz(-0.0776) q[8], q[1];\ncrz(-0.2279) q[8], q[0];\ncrz(-0.25) q[7], q[8];\ncrz(0.0461) q[7], q[6];\ncrz(0.0454) q[7], q[5];\ncrz(0.126) q[7], q[4];\ncrz(0.1294) q[7], q[3];\ncrz(0.0582) q[7], q[2];\ncrz(-0.0776) q[7], q[1];\ncrz(-0.2279) q[7], q[0];\ncrz(-0.25) q[6], q[8];\ncrz(-0.022) q[6], q[7];\ncrz(0.0454) q[6], q[5];\ncrz(0.126) q[6], q[4];\ncrz(0.1294) q[6], q[3];\ncrz(0.0582) q[6], q[2];\ncrz(-0.0776) q[6], q[1];\ncrz(-0.2279) q[6], q[0];\ncrz(-0.25) q[5], q[8];\ncrz(-0.022) q[5], q[7];\ncrz(0.0461) q[5], q[6];\ncrz(0.126) q[5], q[4];\ncrz(0.1294) q[5], q[3];\ncrz(0.0582) q[5], q[2];\ncrz(-0.0776) q[5], q[1];\ncrz(-0.2279) q[5], q[0];\ncrz(-0.25) q[4], q[8];\ncrz(-0.022) q[4], q[7];\ncrz(0.0461) q[4], q[6];\ncrz(0.0454) q[4], q[5];\ncrz(0.1294) q[4], q[3];\ncrz(0.0582) q[4], q[2];\ncrz(-0.0776) q[4], q[1];\ncrz(-0.2279) q[4], q[0];\ncrz(-0.25) q[3], q[8];\ncrz(-0.022) q[3], q[7];\ncrz(0.0461) q[3], q[6];\ncrz(0.0454) q[3], q[5];\ncrz(0.126) q[3], q[4];\ncrz(0.0582) q[3], q[2];\ncrz(-0.0776) q[3], q[1];\ncrz(-0.2279) q[3], q[0];\ncrz(-0.25) q[2], q[8];\ncrz(-0.022) q[2], q[7];\ncrz(0.0461) q[2], q[6];\ncrz(0.0454) q[2], q[5];\ncrz(0.126) q[2], q[4];\ncrz(0.1294) q[2], q[3];\ncrz(-0.0776) q[2], q[1];\ncrz(-0.2279) q[2], q[0];\ncrz(-0.25) q[1], q[8];\ncrz(-0.022) q[1], q[7];\ncrz(0.0461) q[1], q[6];\ncrz(0.0454) q[1], q[5];\ncrz(0.126) q[1], q[4];\ncrz(0.1294) q[1], q[3];\ncrz(0.0582) q[1], q[2];\ncrz(-0.2279) q[1], q[0];\ncrz(-0.25) q[0], q[8];\ncrz(-0.022) q[0], q[7];\ncrz(0.0461) q[0], q[6];\ncrz(0.0454) q[0], q[5];\ncrz(0.126) q[0], q[4];\ncrz(0.1294) q[0], q[3];\ncrz(0.0582) q[0], q[2];\ncrz(-0.0776) q[0], q[1];\nrx(0.0986) q[0];\nrz(-0.1847) q[0];\nrx(0.3527) q[1];\nrz(-0.0371) q[1];\nrx(0.4272) q[2];\nrz(-0.0598) q[2];\nrx(0.0076) q[3];\nrz(0.219) q[3];\nrx(-0.0067) q[4];\nrz(0.203) q[4];\nrx(0.4262) q[5];\nrz(-0.1233) q[5];\nrx(0.423) q[6];\nrz(-0.1142) q[6];\nrx(0.2937) q[7];\nrz(0.021) q[7];\nrx(0.1467) q[8];\nrz(-0.2169) q[8];\nrx(0.0974) q[0];\nrz(-0.2121) q[0];\nrx(0.3513) q[1];\nrz(-0.0436) q[1];\nrx(0.4321) q[2];\nrz(-0.0533) q[2];\nrx(-0.0063) q[3];\nrz(0.2365) q[3];\nrx(-0.0068) q[4];\nrz(0.1439) q[4];\nrx(0.4228) q[5];\nrz(-0.1201) q[5];\nrx(0.4211) q[6];\nrz(-0.1076) q[6];\nrx(0.2889) q[7];\nrz(-0.0003) q[7];\nrx(0.1393) q[8];\nrz(-0.2211) q[8];\ncrz(-0.0797) q[8], q[7];\ncrz(0.0587) q[8], q[6];\ncrz(0.0711) q[8], q[5];\ncrz(0.1573) q[8], q[4];\ncrz(0.176) q[8], q[3];\ncrz(0.0027) q[8], q[2];\ncrz(-0.1046) q[8], q[1];\ncrz(-0.288) q[8], q[0];\ncrz(-0.2729) q[7], q[8];\ncrz(0.0587) q[7], q[6];\ncrz(0.0711) q[7], q[5];\ncrz(0.1573) q[7], q[4];\ncrz(0.176) q[7], q[3];\ncrz(0.0027) q[7], q[2];\ncrz(-0.1046) q[7], q[1];\ncrz(-0.288) q[7], q[0];\ncrz(-0.2729) q[6], q[8];\ncrz(-0.0797) q[6], q[7];\ncrz(0.0711) q[6], q[5];\ncrz(0.1573) q[6], q[4];\ncrz(0.176) q[6], q[3];\ncrz(0.0027) q[6], q[2];\ncrz(-0.1046) q[6], q[1];\ncrz(-0.288) q[6], q[0];\ncrz(-0.2729) q[5], q[8];\ncrz(-0.0797) q[5], q[7];\ncrz(0.0587) q[5], q[6];\ncrz(0.1573) q[5], q[4];\ncrz(0.176) q[5], q[3];\ncrz(0.0027) q[5], q[2];\ncrz(-0.1046) q[5], q[1];\ncrz(-0.288) q[5], q[0];\ncrz(-0.2729) q[4], q[8];\ncrz(-0.0797) q[4], q[7];\ncrz(0.0587) q[4], q[6];\ncrz(0.0711) q[4], q[5];\ncrz(0.176) q[4], q[3];\ncrz(0.0027) q[4], q[2];\ncrz(-0.1046) q[4], q[1];\ncrz(-0.288) q[4], q[0];\ncrz(-0.2729) q[3], q[8];\ncrz(-0.0797) q[3], q[7];\ncrz(0.0587) q[3], q[6];\ncrz(0.0711) q[3], q[5];\ncrz(0.1573) q[3], q[4];\ncrz(0.0027) q[3], q[2];\ncrz(-0.1046) q[3], q[1];\ncrz(-0.288) q[3], q[0];\ncrz(-0.2729) q[2], q[8];\ncrz(-0.0797) q[2], q[7];\ncrz(0.0587) q[2], q[6];\ncrz(0.0711) q[2], q[5];\ncrz(0.1573) q[2], q[4];\ncrz(0.176) q[2], q[3];\ncrz(-0.1046) q[2], q[1];\ncrz(-0.288) q[2], q[0];\ncrz(-0.2729) q[1], q[8];\ncrz(-0.0797) q[1], q[7];\ncrz(0.0587) q[1], q[6];\ncrz(0.0711) q[1], q[5];\ncrz(0.1573) q[1], q[4];\ncrz(0.176) q[1], q[3];\ncrz(0.0027) q[1], q[2];\ncrz(-0.288) q[1], q[0];\ncrz(-0.2729) q[0], q[8];\ncrz(-0.0797) q[0], q[7];\ncrz(0.0587) q[0], q[6];\ncrz(0.0711) q[0], q[5];\ncrz(0.1573) q[0], q[4];\ncrz(0.176) q[0], q[3];\ncrz(0.0027) q[0], q[2];\ncrz(-0.1046) q[0], q[1];\nrx(0.0698) q[0];\nrz(-0.2163) q[0];\nrx(0.304) q[1];\nrz(-0.0481) q[1];\nrx(0.4032) q[2];\nrz(-0.0574) q[2];\nrx(0.0082) q[3];\nrz(0.236) q[3];\nrx(0.0037) q[4];\nrz(0.1756) q[4];\nrx(0.3995) q[5];\nrz(-0.1205) q[5];\nrx(0.3961) q[6];\nrz(-0.1087) q[6];\nrx(0.2586) q[7];\nrz(-0.0061) q[7];\nrx(0.1462) q[8];\nrz(-0.2163) q[8];\nrx(0.0788) q[0];\nrz(-0.1985) q[0];\nrx(0.2899) q[1];\nrz(-0.0467) q[1];\nrx(0.4025) q[2];\nrz(-0.0476) q[2];\nrx(0.0091) q[3];\nrz(0.2343) q[3];\nrx(0.0051) q[4];\nrz(0.2235) q[4];\nrx(0.4019) q[5];\nrz(-0.1203) q[5];\nrx(0.3962) q[6];\nrz(-0.1006) q[6];\nrx(0.2793) q[7];\nrz(-0.0159) q[7];\nrx(0.1687) q[8];\nrz(-0.1725) q[8];\ncrz(-0.1135) q[8], q[7];\ncrz(0.1054) q[8], q[6];\ncrz(0.1225) q[8], q[5];\ncrz(0.0873) q[8], q[4];\ncrz(0.0955) q[8], q[3];\ncrz(0.0114) q[8], q[2];\ncrz(-0.1293) q[8], q[1];\ncrz(-0.3067) q[8], q[0];\ncrz(-0.2708) q[7], q[8];\ncrz(0.1054) q[7], q[6];\ncrz(0.1225) q[7], q[5];\ncrz(0.0873) q[7], q[4];\ncrz(0.0955) q[7], q[3];\ncrz(0.0114) q[7], q[2];\ncrz(-0.1293) q[7], q[1];\ncrz(-0.3067) q[7], q[0];\ncrz(-0.2708) q[6], q[8];\ncrz(-0.1135) q[6], q[7];\ncrz(0.1225) q[6], q[5];\ncrz(0.0873) q[6], q[4];\ncrz(0.0955) q[6], q[3];\ncrz(0.0114) q[6], q[2];\ncrz(-0.1293) q[6], q[1];\ncrz(-0.3067) q[6], q[0];\ncrz(-0.2708) q[5], q[8];\ncrz(-0.1135) q[5], q[7];\ncrz(0.1054) q[5], q[6];\ncrz(0.0873) q[5], q[4];\ncrz(0.0955) q[5], q[3];\ncrz(0.0114) q[5], q[2];\ncrz(-0.1293) q[5], q[1];\ncrz(-0.3067) q[5], q[0];\ncrz(-0.2708) q[4], q[8];\ncrz(-0.1135) q[4], q[7];\ncrz(0.1054) q[4], q[6];\ncrz(0.1225) q[4], q[5];\ncrz(0.0955) q[4], q[3];\ncrz(0.0114) q[4], q[2];\ncrz(-0.1293) q[4], q[1];\ncrz(-0.3067) q[4], q[0];\ncrz(-0.2708) q[3], q[8];\ncrz(-0.1135) q[3], q[7];\ncrz(0.1054) q[3], q[6];\ncrz(0.1225) q[3], q[5];\ncrz(0.0873) q[3], q[4];\ncrz(0.0114) q[3], q[2];\ncrz(-0.1293) q[3], q[1];\ncrz(-0.3067) q[3], q[0];\ncrz(-0.2708) q[2], q[8];\ncrz(-0.1135) q[2], q[7];\ncrz(0.1054) q[2], q[6];\ncrz(0.1225) q[2], q[5];\ncrz(0.0873) q[2], q[4];\ncrz(0.0955) q[2], q[3];\ncrz(-0.1293) q[2], q[1];\ncrz(-0.3067) q[2], q[0];\ncrz(-0.2708) q[1], q[8];\ncrz(-0.1135) q[1], q[7];\ncrz(0.1054) q[1], q[6];\ncrz(0.1225) q[1], q[5];\ncrz(0.0873) q[1], q[4];\ncrz(0.0955) q[1], q[3];\ncrz(0.0114) q[1], q[2];\ncrz(-0.3067) q[1], q[0];\ncrz(-0.2708) q[0], q[8];\ncrz(-0.1135) q[0], q[7];\ncrz(0.1054) q[0], q[6];\ncrz(0.1225) q[0], q[5];\ncrz(0.0873) q[0], q[4];\ncrz(0.0955) q[0], q[3];\ncrz(0.0114) q[0], q[2];\ncrz(-0.1293) q[0], q[1];\nrx(0.303) q[0];\nrz(0.0069) q[0];\nrx(0.2918) q[1];\nrz(0.0081) q[1];\nrx(0.3121) q[2];\nrz(0.0037) q[2];\nrx(-0.0077) q[3];\nrz(0.0077) q[3];\nrx(-0.0166) q[4];\nrz(0.0074) q[4];\nrx(0.34) q[5];\nrz(0.0066) q[5];\nrx(0.3453) q[6];\nrz(0.0004) q[6];\nrx(0.2987) q[7];\nrz(0.0052) q[7];\nrx(0.4859) q[8];\nrz(0.0003) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[7];\ncrz(x19) q[8], q[6];\ncrz(x20) q[8], q[5];\ncrz(x21) q[8], q[4];\ncrz(x22) q[8], q[3];\ncrz(x23) q[8], q[2];\ncrz(x24) q[8], q[1];\ncrz(x25) q[8], q[0];\ncrz(x26) q[7], q[8];\ncrz(x19) q[7], q[6];\ncrz(x20) q[7], q[5];\ncrz(x21) q[7], q[4];\ncrz(x22) q[7], q[3];\ncrz(x23) q[7], q[2];\ncrz(x24) q[7], q[1];\ncrz(x25) q[7], q[0];\ncrz(x26) q[6], q[8];\ncrz(x18) q[6], q[7];\ncrz(x20) q[6], q[5];\ncrz(x21) q[6], q[4];\ncrz(x22) q[6], q[3];\ncrz(x23) q[6], q[2];\ncrz(x24) q[6], q[1];\ncrz(x25) q[6], q[0];\ncrz(x26) q[5], q[8];\ncrz(x18) q[5], q[7];\ncrz(x19) q[5], q[6];\ncrz(x21) q[5], q[4];\ncrz(x22) q[5], q[3];\ncrz(x23) q[5], q[2];\ncrz(x24) q[5], q[1];\ncrz(x25) q[5], q[0];\ncrz(x26) q[4], q[8];\ncrz(x18) q[4], q[7];\ncrz(x19) q[4], q[6];\ncrz(x20) q[4], q[5];\ncrz(x22) q[4], q[3];\ncrz(x23) q[4], q[2];\ncrz(x24) q[4], q[1];\ncrz(x25) q[4], q[0];\ncrz(x26) q[3], q[8];\ncrz(x18) q[3], q[7];\ncrz(x19) q[3], q[6];\ncrz(x20) q[3], q[5];\ncrz(x21) q[3], q[4];\ncrz(x23) q[3], q[2];\ncrz(x24) q[3], q[1];\ncrz(x25) q[3], q[0];\ncrz(x26) q[2], q[8];\ncrz(x18) q[2], q[7];\ncrz(x19) q[2], q[6];\ncrz(x20) q[2], q[5];\ncrz(x21) q[2], q[4];\ncrz(x22) q[2], q[3];\ncrz(x24) q[2], q[1];\ncrz(x25) q[2], q[0];\ncrz(x26) q[1], q[8];\ncrz(x18) q[1], q[7];\ncrz(x19) q[1], q[6];\ncrz(x20) q[1], q[5];\ncrz(x21) q[1], q[4];\ncrz(x22) q[1], q[3];\ncrz(x23) q[1], q[2];\ncrz(x25) q[1], q[0];\ncrz(x26) q[0], q[8];\ncrz(x18) q[0], q[7];\ncrz(x19) q[0], q[6];\ncrz(x20) q[0], q[5];\ncrz(x21) q[0], q[4];\ncrz(x22) q[0], q[3];\ncrz(x23) q[0], q[2];\ncrz(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x45) q[0];\nrz(x46) q[0];\nrx(x47) q[1];\nrz(x48) q[1];\nrx(x49) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x35) q[4];\nrz(x53) q[4];\nrx(x54) q[5];\nrz(x55) q[5];\nrx(x56) q[6];\nrz(x57) q[6];\nrx(x58) q[7];\nrz(x59) q[7];\nrx(x60) q[8];\nrz(x61) q[8];\ncrz(x48) q[8], q[7];\ncrz(x62) q[8], q[6];\ncrz(x63) q[8], q[5];\ncrz(x64) q[8], q[4];\ncrz(x65) q[8], q[3];\ncrz(x66) q[8], q[2];\ncrz(x67) q[8], q[1];\ncrz(x68) q[8], q[0];\ncrz(x69) q[7], q[8];\ncrz(x62) q[7], q[6];\ncrz(x63) q[7], q[5];\ncrz(x64) q[7], q[4];\ncrz(x65) q[7], q[3];\ncrz(x66) q[7], q[2];\ncrz(x67) q[7], q[1];\ncrz(x68) q[7], q[0];\ncrz(x69) q[6], q[8];\ncrz(x48) q[6], q[7];\ncrz(x63) q[6], q[5];\ncrz(x64) q[6], q[4];\ncrz(x65) q[6], q[3];\ncrz(x66) q[6], q[2];\ncrz(x67) q[6], q[1];\ncrz(x68) q[6], q[0];\ncrz(x69) q[5], q[8];\ncrz(x48) q[5], q[7];\ncrz(x62) q[5], q[6];\ncrz(x64) q[5], q[4];\ncrz(x65) q[5], q[3];\ncrz(x66) q[5], q[2];\ncrz(x67) q[5], q[1];\ncrz(x68) q[5], q[0];\ncrz(x69) q[4], q[8];\ncrz(x48) q[4], q[7];\ncrz(x62) q[4], q[6];\ncrz(x63) q[4], q[5];\ncrz(x65) q[4], q[3];\ncrz(x66) q[4], q[2];\ncrz(x67) q[4], q[1];\ncrz(x68) q[4], q[0];\ncrz(x69) q[3], q[8];\ncrz(x48) q[3], q[7];\ncrz(x62) q[3], q[6];\ncrz(x63) q[3], q[5];\ncrz(x64) q[3], q[4];\ncrz(x66) q[3], q[2];\ncrz(x67) q[3], q[1];\ncrz(x68) q[3], q[0];\ncrz(x69) q[2], q[8];\ncrz(x48) q[2], q[7];\ncrz(x62) q[2], q[6];\ncrz(x63) q[2], q[5];\ncrz(x64) q[2], q[4];\ncrz(x65) q[2], q[3];\ncrz(x67) q[2], q[1];\ncrz(x68) q[2], q[0];\ncrz(x69) q[1], q[8];\ncrz(x48) q[1], q[7];\ncrz(x62) q[1], q[6];\ncrz(x63) q[1], q[5];\ncrz(x64) q[1], q[4];\ncrz(x65) q[1], q[3];\ncrz(x66) q[1], q[2];\ncrz(x68) q[1], q[0];\ncrz(x69) q[0], q[8];\ncrz(x48) q[0], q[7];\ncrz(x62) q[0], q[6];\ncrz(x63) q[0], q[5];\ncrz(x64) q[0], q[4];\ncrz(x65) q[0], q[3];\ncrz(x66) q[0], q[2];\ncrz(x67) q[0], q[1];\nrx(x70) q[0];\nrz(x71) q[0];\nrx(x72) q[1];\nrz(x73) q[1];\nrx(x74) q[2];\nrz(x75) q[2];\nrx(x76) q[3];\nrz(x77) q[3];\nrx(x78) q[4];\nrz(x79) q[4];\nrx(x80) q[5];\nrz(x81) q[5];\nrx(x82) q[6];\nrz(x83) q[6];\nrx(x84) q[7];\nrz(x85) q[7];\nrx(x86) q[8];\nrz(x87) q[8];\nrx(x88) q[0];\nrz(x89) q[0];\nrx(x90) q[1];\nrz(x91) q[1];\nrx(x92) q[2];\nrz(x93) q[2];\nrx(x94) q[3];\nrz(x95) q[3];\nrx(x96) q[4];\nrz(x97) q[4];\nrx(x98) q[5];\nrz(x99) q[5];\nrx(x100) q[6];\nrz(x101) q[6];\nrx(x102) q[7];\nrz(x103) q[7];\nrx(x104) q[8];\nrz(x105) q[8];\ncrz(x106) q[8], q[7];\ncrz(x107) q[8], q[6];\ncrz(x108) q[8], q[5];\ncrz(x109) q[8], q[4];\ncrz(x110) q[8], q[3];\ncrz(x111) q[8], q[2];\ncrz(x112) q[8], q[1];\ncrz(x113) q[8], q[0];\ncrz(x114) q[7], q[8];\ncrz(x107) q[7], q[6];\ncrz(x108) q[7], q[5];\ncrz(x109) q[7], q[4];\ncrz(x110) q[7], q[3];\ncrz(x111) q[7], q[2];\ncrz(x112) q[7], q[1];\ncrz(x113) q[7], q[0];\ncrz(x114) q[6], q[8];\ncrz(x106) q[6], q[7];\ncrz(x108) q[6], q[5];\ncrz(x109) q[6], q[4];\ncrz(x110) q[6], q[3];\ncrz(x111) q[6], q[2];\ncrz(x112) q[6], q[1];\ncrz(x113) q[6], q[0];\ncrz(x114) q[5], q[8];\ncrz(x106) q[5], q[7];\ncrz(x107) q[5], q[6];\ncrz(x109) q[5], q[4];\ncrz(x110) q[5], q[3];\ncrz(x111) q[5], q[2];\ncrz(x112) q[5], q[1];\ncrz(x113) q[5], q[0];\ncrz(x114) q[4], q[8];\ncrz(x106) q[4], q[7];\ncrz(x107) q[4], q[6];\ncrz(x108) q[4], q[5];\ncrz(x110) q[4], q[3];\ncrz(x111) q[4], q[2];\ncrz(x112) q[4], q[1];\ncrz(x113) q[4], q[0];\ncrz(x114) q[3], q[8];\ncrz(x106) q[3], q[7];\ncrz(x107) q[3], q[6];\ncrz(x108) q[3], q[5];\ncrz(x109) q[3], q[4];\ncrz(x111) q[3], q[2];\ncrz(x112) q[3], q[1];\ncrz(x113) q[3], q[0];\ncrz(x114) q[2], q[8];\ncrz(x106) q[2], q[7];\ncrz(x107) q[2], q[6];\ncrz(x108) q[2], q[5];\ncrz(x109) q[2], q[4];\ncrz(x110) q[2], q[3];\ncrz(x112) q[2], q[1];\ncrz(x113) q[2], q[0];\ncrz(x114) q[1], q[8];\ncrz(x106) q[1], q[7];\ncrz(x107) q[1], q[6];\ncrz(x108) q[1], q[5];\ncrz(x109) q[1], q[4];\ncrz(x110) q[1], q[3];\ncrz(x111) q[1], q[2];\ncrz(x113) q[1], q[0];\ncrz(x114) q[0], q[8];\ncrz(x106) q[0], q[7];\ncrz(x107) q[0], q[6];\ncrz(x108) q[0], q[5];\ncrz(x109) q[0], q[4];\ncrz(x110) q[0], q[3];\ncrz(x111) q[0], q[2];\ncrz(x112) q[0], q[1];\nrx(x115) q[0];\nrz(x116) q[0];\nrx(x117) q[1];\nrz(x118) q[1];\nrx(x119) q[2];\nrz(x120) q[2];\nrx(x121) q[3];\nrz(x122) q[3];\nrx(x123) q[4];\nrz(x124) q[4];\nrx(x125) q[5];\nrz(x126) q[5];\nrx(x127) q[6];\nrz(x128) q[6];\nrx(x129) q[7];\nrz(x130) q[7];\nrx(x131) q[8];\nrz(x116) q[8];\nrx(x132) q[0];\nrz(x133) q[0];\nrx(x134) q[1];\nrz(x135) q[1];\nrx(x136) q[2];\nrz(x137) q[2];\nrx(x138) q[3];\nrz(x139) q[3];\nrx(x140) q[4];\nrz(x141) q[4];\nrx(x142) q[5];\nrz(x143) q[5];\nrx(x144) q[6];\nrz(x145) q[6];\nrx(x146) q[7];\nrz(x147) q[7];\nrx(x148) q[8];\nrz(x149) q[8];\ncrz(x150) q[8], q[7];\ncrz(x151) q[8], q[6];\ncrz(x152) q[8], q[5];\ncrz(x153) q[8], q[4];\ncrz(x154) q[8], q[3];\ncrz(x155) q[8], q[2];\ncrz(x156) q[8], q[1];\ncrz(x157) q[8], q[0];\ncrz(x158) q[7], q[8];\ncrz(x151) q[7], q[6];\ncrz(x152) q[7], q[5];\ncrz(x153) q[7], q[4];\ncrz(x154) q[7], q[3];\ncrz(x155) q[7], q[2];\ncrz(x156) q[7], q[1];\ncrz(x157) q[7], q[0];\ncrz(x158) q[6], q[8];\ncrz(x150) q[6], q[7];\ncrz(x152) q[6], q[5];\ncrz(x153) q[6], q[4];\ncrz(x154) q[6], q[3];\ncrz(x155) q[6], q[2];\ncrz(x156) q[6], q[1];\ncrz(x157) q[6], q[0];\ncrz(x158) q[5], q[8];\ncrz(x150) q[5], q[7];\ncrz(x151) q[5], q[6];\ncrz(x153) q[5], q[4];\ncrz(x154) q[5], q[3];\ncrz(x155) q[5], q[2];\ncrz(x156) q[5], q[1];\ncrz(x157) q[5], q[0];\ncrz(x158) q[4], q[8];\ncrz(x150) q[4], q[7];\ncrz(x151) q[4], q[6];\ncrz(x152) q[4], q[5];\ncrz(x154) q[4], q[3];\ncrz(x155) q[4], q[2];\ncrz(x156) q[4], q[1];\ncrz(x157) q[4], q[0];\ncrz(x158) q[3], q[8];\ncrz(x150) q[3], q[7];\ncrz(x151) q[3], q[6];\ncrz(x152) q[3], q[5];\ncrz(x153) q[3], q[4];\ncrz(x155) q[3], q[2];\ncrz(x156) q[3], q[1];\ncrz(x157) q[3], q[0];\ncrz(x158) q[2], q[8];\ncrz(x150) q[2], q[7];\ncrz(x151) q[2], q[6];\ncrz(x152) q[2], q[5];\ncrz(x153) q[2], q[4];\ncrz(x154) q[2], q[3];\ncrz(x156) q[2], q[1];\ncrz(x157) q[2], q[0];\ncrz(x158) q[1], q[8];\ncrz(x150) q[1], q[7];\ncrz(x151) q[1], q[6];\ncrz(x152) q[1], q[5];\ncrz(x153) q[1], q[4];\ncrz(x154) q[1], q[3];\ncrz(x155) q[1], q[2];\ncrz(x157) q[1], q[0];\ncrz(x158) q[0], q[8];\ncrz(x150) q[0], q[7];\ncrz(x151) q[0], q[6];\ncrz(x152) q[0], q[5];\ncrz(x153) q[0], q[4];\ncrz(x154) q[0], q[3];\ncrz(x155) q[0], q[2];\ncrz(x156) q[0], q[1];\nrx(x159) q[0];\nrz(x160) q[0];\nrx(x161) q[1];\nrz(x162) q[1];\nrx(x163) q[2];\nrz(x123) q[2];\nrx(x164) q[3];\nrz(x165) q[3];\nrx(x166) q[4];\nrz(x167) q[4];\nrx(x168) q[5];\nrz(x169) q[5];\nrx(x170) q[6];\nrz(x171) q[6];\nrx(x172) q[7];\nrz(x173) q[7];\nrx(x174) q[8];\nrz(x175) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["921479f58efe64e2060ecee8a590e959","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 8}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 8}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 8}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 8}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 7}, {\"capacity\": 2, \"source\": 6, \"target\": 8}, {\"capacity\": 1, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 8}]}","{\"states\": [256, 255], \"expectation_value\": -0.4957354026644163, \"params\": [[0.069], [-0.06420000000000001]], \"bitstrings\": [\"011111111\", \"100000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002614271783997632, 0.0026512947303750614], \"optimization_time\": 2.890838623046875}","0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -2.25 * Z(8) + -0.25 * Z(0) + 0.25 * Z(1) + 1.25 * Z(6) + -1.25 * Z(7) + 0.25 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 3.0 * Z(5)",1,9,1,"{\"smallest_eigenvalues\": [-10.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.0, \"smallest_bitstrings\": [\"100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[8], q[0];\nrz(0.0345) q[0];\ncx q[8], q[0];\ncx q[8], q[1];\nrz(-0.069) q[1];\ncx q[8], q[1];\ncx q[8], q[6];\nrz(-0.069) q[6];\ncx q[8], q[6];\ncx q[1], q[6];\nrz(-0.138) q[6];\ncx q[1], q[6];\ncx q[8], q[7];\nrz(-0.069) q[7];\ncx q[8], q[7];\ncx q[1], q[7];\nrz(-0.0345) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.069) q[7];\ncx q[6], q[7];\ncx q[7], q[2];\nrz(-0.1035) q[2];\ncx q[7], q[2];\ncx q[8], q[3];\nrz(-0.069) q[3];\ncx q[8], q[3];\ncx q[6], q[3];\nrz(-0.069) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(-0.069) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(-0.1035) q[4];\ncx q[7], q[4];\ncx q[8], q[5];\nrz(-0.069) q[5];\ncx q[8], q[5];\ncx q[1], q[5];\nrz(-0.069) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(-0.0345) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(-0.069) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(-0.069) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.069) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0345) q[5];\ncx q[4], q[5];\nrz(-0.3105) q[8];\nrz(-0.0345) q[0];\nrz(0.0345) q[1];\nrz(0.1725) q[6];\nrz(-0.1725) q[7];\nrz(0.0345) q[2];\nrz(-0.138) q[3];\nrz(0) q[4];\nrz(0.414) q[5];\nh q[0];\nrz(-0.1284) q[0];\nh q[0];\nh q[1];\nrz(-0.1284) q[1];\nh q[1];\nh q[2];\nrz(-0.1284) q[2];\nh q[2];\nh q[3];\nrz(-0.1284) q[3];\nh q[3];\nh q[4];\nrz(-0.1284) q[4];\nh q[4];\nh q[5];\nrz(-0.1284) q[5];\nh q[5];\nh q[6];\nrz(-0.1284) q[6];\nh q[6];\nh q[7];\nrz(-0.1284) q[7];\nh q[7];\nh q[8];\nrz(-0.1284) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[8], q[0];\nrz(x0) q[0];\ncx q[8], q[0];\ncx q[8], q[1];\nrz(x1) q[1];\ncx q[8], q[1];\ncx q[8], q[6];\nrz(x1) q[6];\ncx q[8], q[6];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[8], q[7];\nrz(x1) q[7];\ncx q[8], q[7];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[7], q[2];\nrz(x4) q[2];\ncx q[7], q[2];\ncx q[8], q[3];\nrz(x1) q[3];\ncx q[8], q[3];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(x4) q[4];\ncx q[7], q[4];\ncx q[8], q[5];\nrz(x1) q[5];\ncx q[8], q[5];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(x3) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x3) q[5];\ncx q[4], q[5];\nrz(x5) q[8];\nrz(x3) q[0];\nrz(x0) q[1];\nrz(x6) q[6];\nrz(x7) q[7];\nrz(x0) q[2];\nrz(x2) q[3];\nrz(x8) q[4];\nrz(x9) q[5];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["238da0afcff22b3cc95b712a7ad70447","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [237, 371], \"expectation_value\": -0.16735743777220013, \"params\": [[0.07100000000000001, 0.06910000000000001], [-0.06960000000000001, -0.0679]], \"bitstrings\": [\"100010010\", \"010001100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002819788223447881, 0.002819788223447882], \"optimization_time\": 8.694124937057495}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(8) @ Z(2)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(8) @ Z(6)) + -0.125 * (Z(6) @ Z(2) @ Z(4)) + -0.125 * (Z(8) @ Z(2) @ Z(4)) + -0.125 * (Z(8) @ Z(2) @ Z(6)) + -0.125 * (Z(8) @ Z(6) @ Z(4)) + 0.125 * (Z(8) @ Z(2) @ Z(6) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(8) @ Z(7)) + -0.125 * (Z(3) @ Z(7) @ Z(5)) + -0.125 * (Z(8) @ Z(3) @ Z(5)) + -0.125 * (Z(8) @ Z(7) @ Z(3)) + -0.125 * (Z(8) @ Z(7) @ Z(5)) + 0.125 * (Z(8) @ Z(3) @ Z(7) @ Z(5)) + -0.125 * Z(0) + -0.125 * Z(1) + 0.25 * Z(2) + 0.25 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -0.125 * Z(6) + -0.125 * Z(7) + 0.25 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-3.375, -3.375], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.375, \"smallest_bitstrings\": [\"100010010\", \"010001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.0178) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0178) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(0.0178) q[0];\ncx q[3], q[0];\ncx q[2], q[1];\nrz(0.0178) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0178) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(0.0178) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0178) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(-0.0178) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(-0.0178) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.0178) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0178) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[5], q[4];\nrz(0.071) q[4];\ncx q[5], q[4];\ncx q[6], q[0];\nrz(0.071) q[0];\ncx q[6], q[0];\ncx q[7], q[1];\nrz(0.071) q[1];\ncx q[7], q[1];\ncx q[4], q[2];\nrz(0.0178) q[2];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(0.0178) q[6];\ncx q[2], q[6];\ncx q[2], q[8];\nrz(0.0178) q[8];\ncx q[2], q[8];\ncx q[4], q[6];\nrz(0.0178) q[6];\ncx q[4], q[6];\ncx q[4], q[8];\nrz(0.0178) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(0.0178) q[8];\ncx q[6], q[8];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(-0.0178) q[6];\ncx q[2], q[6];\ncx q[4], q[2];\ncx q[4], q[2];\ncx q[2], q[8];\nrz(-0.0178) q[8];\ncx q[2], q[8];\ncx q[4], q[2];\ncx q[6], q[2];\ncx q[2], q[8];\nrz(-0.0178) q[8];\ncx q[2], q[8];\ncx q[6], q[2];\ncx q[4], q[6];\ncx q[6], q[8];\nrz(-0.0178) q[8];\ncx q[6], q[8];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\ncx q[2], q[8];\nrz(0.0178) q[8];\ncx q[2], q[8];\ncx q[6], q[2];\ncx q[4], q[6];\ncx q[5], q[3];\nrz(0.0178) q[3];\ncx q[5], q[3];\ncx q[3], q[7];\nrz(0.0178) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(0.0178) q[8];\ncx q[3], q[8];\ncx q[5], q[7];\nrz(0.0178) q[7];\ncx q[5], q[7];\ncx q[5], q[8];\nrz(0.0178) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(0.0178) q[8];\ncx q[7], q[8];\ncx q[5], q[7];\ncx q[7], q[3];\nrz(-0.0178) q[3];\ncx q[7], q[3];\ncx q[5], q[7];\ncx q[5], q[3];\ncx q[3], q[8];\nrz(-0.0178) q[8];\ncx q[3], q[8];\ncx q[5], q[3];\ncx q[3], q[7];\ncx q[7], q[8];\nrz(-0.0178) q[8];\ncx q[7], q[8];\ncx q[3], q[7];\ncx q[5], q[7];\ncx q[7], q[8];\nrz(-0.0178) q[8];\ncx q[7], q[8];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[3];\ncx q[3], q[8];\nrz(0.0178) q[8];\ncx q[3], q[8];\ncx q[7], q[3];\ncx q[5], q[7];\nrz(-0.0178) q[0];\nrz(-0.0178) q[1];\nrz(0.0355) q[2];\nrz(0.0355) q[3];\nrz(-0.0178) q[4];\nrz(-0.0178) q[5];\nrz(-0.0178) q[6];\nrz(-0.0178) q[7];\nrz(0.0355) q[8];\nh q[0];\nrz(-0.1392) q[0];\nh q[0];\nh q[1];\nrz(-0.1392) q[1];\nh q[1];\nh q[2];\nrz(-0.1392) q[2];\nh q[2];\nh q[3];\nrz(-0.1392) q[3];\nh q[3];\nh q[4];\nrz(-0.1392) q[4];\nh q[4];\nh q[5];\nrz(-0.1392) q[5];\nh q[5];\nh q[6];\nrz(-0.1392) q[6];\nh q[6];\nh q[7];\nrz(-0.1392) q[7];\nh q[7];\nh q[8];\nrz(-0.1392) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0173) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0173) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(0.0173) q[0];\ncx q[3], q[0];\ncx q[2], q[1];\nrz(0.0173) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0173) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(0.0173) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0173) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(-0.0173) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(-0.0173) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.0173) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0173) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[5], q[4];\nrz(0.0691) q[4];\ncx q[5], q[4];\ncx q[6], q[0];\nrz(0.0691) q[0];\ncx q[6], q[0];\ncx q[7], q[1];\nrz(0.0691) q[1];\ncx q[7], q[1];\ncx q[4], q[2];\nrz(0.0173) q[2];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(0.0173) q[6];\ncx q[2], q[6];\ncx q[2], q[8];\nrz(0.0173) q[8];\ncx q[2], q[8];\ncx q[4], q[6];\nrz(0.0173) q[6];\ncx q[4], q[6];\ncx q[4], q[8];\nrz(0.0173) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(0.0173) q[8];\ncx q[6], q[8];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(-0.0173) q[6];\ncx q[2], q[6];\ncx q[4], q[2];\ncx q[4], q[2];\ncx q[2], q[8];\nrz(-0.0173) q[8];\ncx q[2], q[8];\ncx q[4], q[2];\ncx q[6], q[2];\ncx q[2], q[8];\nrz(-0.0173) q[8];\ncx q[2], q[8];\ncx q[6], q[2];\ncx q[4], q[6];\ncx q[6], q[8];\nrz(-0.0173) q[8];\ncx q[6], q[8];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\ncx q[2], q[8];\nrz(0.0173) q[8];\ncx q[2], q[8];\ncx q[6], q[2];\ncx q[4], q[6];\ncx q[5], q[3];\nrz(0.0173) q[3];\ncx q[5], q[3];\ncx q[3], q[7];\nrz(0.0173) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(0.0173) q[8];\ncx q[3], q[8];\ncx q[5], q[7];\nrz(0.0173) q[7];\ncx q[5], q[7];\ncx q[5], q[8];\nrz(0.0173) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(0.0173) q[8];\ncx q[7], q[8];\ncx q[5], q[7];\ncx q[7], q[3];\nrz(-0.0173) q[3];\ncx q[7], q[3];\ncx q[5], q[7];\ncx q[5], q[3];\ncx q[3], q[8];\nrz(-0.0173) q[8];\ncx q[3], q[8];\ncx q[5], q[3];\ncx q[3], q[7];\ncx q[7], q[8];\nrz(-0.0173) q[8];\ncx q[7], q[8];\ncx q[3], q[7];\ncx q[5], q[7];\ncx q[7], q[8];\nrz(-0.0173) q[8];\ncx q[7], q[8];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[3];\ncx q[3], q[8];\nrz(0.0173) q[8];\ncx q[3], q[8];\ncx q[7], q[3];\ncx q[5], q[7];\nrz(-0.0173) q[0];\nrz(-0.0173) q[1];\nrz(0.0346) q[2];\nrz(0.0346) q[3];\nrz(-0.0173) q[4];\nrz(-0.0173) q[5];\nrz(-0.0173) q[6];\nrz(-0.0173) q[7];\nrz(0.0346) q[8];\nh q[0];\nrz(-0.1358) q[0];\nh q[0];\nh q[1];\nrz(-0.1358) q[1];\nh q[1];\nh q[2];\nrz(-0.1358) q[2];\nh q[2];\nh q[3];\nrz(-0.1358) q[3];\nh q[3];\nh q[4];\nrz(-0.1358) q[4];\nh q[4];\nh q[5];\nrz(-0.1358) q[5];\nh q[5];\nh q[6];\nrz(-0.1358) q[6];\nh q[6];\nh q[7];\nrz(-0.1358) q[7];\nh q[7];\nh q[8];\nrz(-0.1358) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[5], q[4];\nrz(x2) q[4];\ncx q[5], q[4];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[7], q[1];\nrz(x2) q[1];\ncx q[7], q[1];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[4], q[2];\ncx q[4], q[2];\ncx q[2], q[8];\nrz(x1) q[8];\ncx q[2], q[8];\ncx q[4], q[2];\ncx q[6], q[2];\ncx q[2], q[8];\nrz(x1) q[8];\ncx q[2], q[8];\ncx q[6], q[2];\ncx q[4], q[6];\ncx q[6], q[8];\nrz(x1) q[8];\ncx q[6], q[8];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[6], q[2];\ncx q[4], q[6];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\ncx q[5], q[7];\ncx q[7], q[3];\nrz(x1) q[3];\ncx q[7], q[3];\ncx q[5], q[7];\ncx q[5], q[3];\ncx q[3], q[8];\nrz(x1) q[8];\ncx q[3], q[8];\ncx q[5], q[3];\ncx q[3], q[7];\ncx q[7], q[8];\nrz(x1) q[8];\ncx q[7], q[8];\ncx q[3], q[7];\ncx q[5], q[7];\ncx q[7], q[8];\nrz(x1) q[8];\ncx q[7], q[8];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[3];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[7], q[3];\ncx q[5], q[7];\nrz(x1) q[0];\nrz(x1) q[1];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x1) q[4];\nrz(x1) q[5];\nrz(x1) q[6];\nrz(x1) q[7];\nrz(x3) q[8];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nh q[8];\nrz(x4) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(x5) q[0];\ncx q[3], q[0];\ncx q[2], q[1];\nrz(x5) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x5) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x5) q[2];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x6) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x6) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[5], q[4];\nrz(x7) q[4];\ncx q[5], q[4];\ncx q[6], q[0];\nrz(x7) q[0];\ncx q[6], q[0];\ncx q[7], q[1];\nrz(x7) q[1];\ncx q[7], q[1];\ncx q[4], q[2];\nrz(x5) q[2];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(x5) q[6];\ncx q[2], q[6];\ncx q[2], q[8];\nrz(x5) q[8];\ncx q[2], q[8];\ncx q[4], q[6];\nrz(x5) q[6];\ncx q[4], q[6];\ncx q[4], q[8];\nrz(x5) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x5) q[8];\ncx q[6], q[8];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[4], q[2];\ncx q[4], q[2];\ncx q[2], q[8];\nrz(x6) q[8];\ncx q[2], q[8];\ncx q[4], q[2];\ncx q[6], q[2];\ncx q[2], q[8];\nrz(x6) q[8];\ncx q[2], q[8];\ncx q[6], q[2];\ncx q[4], q[6];\ncx q[6], q[8];\nrz(x6) q[8];\ncx q[6], q[8];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\ncx q[2], q[8];\nrz(x5) q[8];\ncx q[2], q[8];\ncx q[6], q[2];\ncx q[4], q[6];\ncx q[5], q[3];\nrz(x5) q[3];\ncx q[5], q[3];\ncx q[3], q[7];\nrz(x5) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(x5) q[8];\ncx q[3], q[8];\ncx q[5], q[7];\nrz(x5) q[7];\ncx q[5], q[7];\ncx q[5], q[8];\nrz(x5) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x5) q[8];\ncx q[7], q[8];\ncx q[5], q[7];\ncx q[7], q[3];\nrz(x6) q[3];\ncx q[7], q[3];\ncx q[5], q[7];\ncx q[5], q[3];\ncx q[3], q[8];\nrz(x6) q[8];\ncx q[3], q[8];\ncx q[5], q[3];\ncx q[3], q[7];\ncx q[7], q[8];\nrz(x6) q[8];\ncx q[7], q[8];\ncx q[3], q[7];\ncx q[5], q[7];\ncx q[7], q[8];\nrz(x6) q[8];\ncx q[7], q[8];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[3];\ncx q[3], q[8];\nrz(x5) q[8];\ncx q[3], q[8];\ncx q[7], q[3];\ncx q[5], q[7];\nrz(x6) q[0];\nrz(x6) q[1];\nrz(x8) q[2];\nrz(x8) q[3];\nrz(x6) q[4];\nrz(x6) q[5];\nrz(x6) q[6];\nrz(x6) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["eee150816444ab6c0c032eb91552e06d","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 3}, {\"weight\": 14, \"source\": 0, \"target\": 4}, {\"weight\": 20, \"source\": 0, \"target\": 7}, {\"weight\": 14, \"source\": 0, \"target\": 5}, {\"weight\": 1, \"source\": 1, \"target\": 4}, {\"weight\": 15, \"source\": 1, \"target\": 5}, {\"weight\": 14, \"source\": 1, \"target\": 6}, {\"weight\": 5, \"source\": 2, \"target\": 5}]}","{\"states\": [230, 118], \"expectation_value\": -23.25210225318672, \"params\": [[0.0297, -0.0057, 0.008400000000000001, -0.004], [-0.0611, -0.0357, -0.0512, -0.0329]], \"bitstrings\": [\"00011001\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01186187792053314, 0.015298513763276112], \"optimization_time\": 7.661612510681152}","4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 6.5 * Z(0) + 14.5 * Z(3) + 16.0 * Z(1) + 20.5 * Z(2) + 5.0 * Z(4) + 7.0 * Z(6) + 16.5 * Z(5) + 2.5 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-74.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -61.0, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[3];\nrz(0.2673) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(0.2673) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(0.2673) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(0.2673) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.2673) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(0.2673) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(0.2673) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(0.2673) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(0.2673) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.2673) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.2673) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(0.2673) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.2673) q[7];\ncx q[5], q[7];\nrz(0.3861) q[0];\nrz(0.8613) q[3];\nrz(0.9504) q[1];\nrz(1.2177) q[2];\nrz(0.297) q[4];\nrz(0.4158) q[6];\nrz(0.9801) q[5];\nrz(0.1485) q[7];\nh q[0];\nrz(-0.1222) q[0];\nh q[0];\nh q[1];\nrz(-0.1222) q[1];\nh q[1];\nh q[2];\nrz(-0.1222) q[2];\nh q[2];\nh q[3];\nrz(-0.1222) q[3];\nh q[3];\nh q[4];\nrz(-0.1222) q[4];\nh q[4];\nh q[5];\nrz(-0.1222) q[5];\nh q[5];\nh q[6];\nrz(-0.1222) q[6];\nh q[6];\nh q[7];\nrz(-0.1222) q[7];\nh q[7];\ncx q[0], q[3];\nrz(-0.0513) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(-0.0513) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.0513) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(-0.0513) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.0513) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.0513) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(-0.0513) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(-0.0513) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(-0.0513) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0513) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(-0.0513) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(-0.0513) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.0513) q[7];\ncx q[5], q[7];\nrz(-0.0741) q[0];\nrz(-0.1653) q[3];\nrz(-0.1824) q[1];\nrz(-0.2337) q[2];\nrz(-0.057) q[4];\nrz(-0.0798) q[6];\nrz(-0.1881) q[5];\nrz(-0.0285) q[7];\nh q[0];\nrz(-0.0714) q[0];\nh q[0];\nh q[1];\nrz(-0.0714) q[1];\nh q[1];\nh q[2];\nrz(-0.0714) q[2];\nh q[2];\nh q[3];\nrz(-0.0714) q[3];\nh q[3];\nh q[4];\nrz(-0.0714) q[4];\nh q[4];\nh q[5];\nrz(-0.0714) q[5];\nh q[5];\nh q[6];\nrz(-0.0714) q[6];\nh q[6];\nh q[7];\nrz(-0.0714) q[7];\nh q[7];\ncx q[0], q[3];\nrz(0.0756) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(0.0756) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(0.0756) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(0.0756) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.0756) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(0.0756) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(0.0756) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(0.0756) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(0.0756) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.0756) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0756) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(0.0756) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.0756) q[7];\ncx q[5], q[7];\nrz(0.1092) q[0];\nrz(0.2436) q[3];\nrz(0.2688) q[1];\nrz(0.3444) q[2];\nrz(0.084) q[4];\nrz(0.1176) q[6];\nrz(0.2772) q[5];\nrz(0.042) q[7];\nh q[0];\nrz(-0.1024) q[0];\nh q[0];\nh q[1];\nrz(-0.1024) q[1];\nh q[1];\nh q[2];\nrz(-0.1024) q[2];\nh q[2];\nh q[3];\nrz(-0.1024) q[3];\nh q[3];\nh q[4];\nrz(-0.1024) q[4];\nh q[4];\nh q[5];\nrz(-0.1024) q[5];\nh q[5];\nh q[6];\nrz(-0.1024) q[6];\nh q[6];\nh q[7];\nrz(-0.1024) q[7];\nh q[7];\ncx q[0], q[3];\nrz(-0.036) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(-0.036) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.036) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(-0.036) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.036) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.036) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(-0.036) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(-0.036) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(-0.036) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.036) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(-0.036) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(-0.036) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.036) q[7];\ncx q[5], q[7];\nrz(-0.052) q[0];\nrz(-0.116) q[3];\nrz(-0.128) q[1];\nrz(-0.164) q[2];\nrz(-0.04) q[4];\nrz(-0.056) q[6];\nrz(-0.132) q[5];\nrz(-0.02) q[7];\nh q[0];\nrz(-0.0658) q[0];\nh q[0];\nh q[1];\nrz(-0.0658) q[1];\nh q[1];\nh q[2];\nrz(-0.0658) q[2];\nh q[2];\nh q[3];\nrz(-0.0658) q[3];\nh q[3];\nh q[4];\nrz(-0.0658) q[4];\nh q[4];\nh q[5];\nrz(-0.0658) q[5];\nh q[5];\nh q[6];\nrz(-0.0658) q[6];\nh q[6];\nh q[7];\nrz(-0.0658) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x3) q[1];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[6];\nrz(x7) q[5];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x10) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x10) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\nrz(x11) q[0];\nrz(x12) q[3];\nrz(x13) q[1];\nrz(x14) q[2];\nrz(x15) q[4];\nrz(x16) q[6];\nrz(x17) q[5];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x20) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x20) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x20) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x20) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(x20) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(x20) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x20) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(x20) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\nrz(x21) q[0];\nrz(x22) q[3];\nrz(x23) q[1];\nrz(x24) q[2];\nrz(x25) q[4];\nrz(x26) q[6];\nrz(x27) q[5];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\ncx q[0], q[3];\nrz(x30) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x30) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x30) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x30) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x30) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x30) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(x30) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(x30) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(x30) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x30) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x30) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(x30) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x30) q[7];\ncx q[5], q[7];\nrz(x31) q[0];\nrz(x32) q[3];\nrz(x33) q[1];\nrz(x34) q[2];\nrz(x35) q[4];\nrz(x36) q[6];\nrz(x37) q[5];\nrz(x38) q[7];\nh q[0];\nrz(x39) q[0];\nh q[0];\nh q[1];\nrz(x39) q[1];\nh q[1];\nh q[2];\nrz(x39) q[2];\nh q[2];\nh q[3];\nrz(x39) q[3];\nh q[3];\nh q[4];\nrz(x39) q[4];\nh q[4];\nh q[5];\nrz(x39) q[5];\nh q[5];\nh q[6];\nrz(x39) q[6];\nh q[6];\nh q[7];\nrz(x39) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["7d035ca1bf1f85a5b9e73dc65bf927bc","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [74, 98], \"expectation_value\": -2.0373742953258516, \"params\": [0.2068, 0.0092, 0.20090000000000002, 0.0043, 0.1971, 0.0061, 0.2015, -0.0018000000000000002, 0.06520000000000001, 0.058300000000000005, 0.0636, 0.0541, 0.19240000000000002, 0.0056, 0.19820000000000002, -0.0034000000000000002, 0.0039000000000000003, -0.098, -0.00030000000000000003, -0.10300000000000001, 0.2029, 0.0151, 0.20320000000000002, 0.0091, 0.0921, 0.0872, 0.0884, 0.0838, 0.2018, 0.006900000000000001, 0.1995, 0.007200000000000001, 0.19990000000000002, -0.001, 0.1991, -0.0064, 0.0635, 0.0538, 0.07, 0.0541, 0.1971, -0.0021000000000000003, 0.193, -0.0041, -0.0011, -0.0978, 0.0024000000000000002, -0.1068, 0.20670000000000002, 0.0117, 0.1986, 0.0143, 0.0845, 0.0882, 0.0828, 0.0917, 0.2005, 0.013900000000000001, 0.20140000000000002, 0.0078000000000000005, 0.1957, -0.002, 0.2005, -0.0132, 0.0675, 0.062, 0.0702, 0.0546, 0.1943, -0.0079, 0.19640000000000002, -0.0129, 0.005200000000000001, -0.0956, 0.0024000000000000002, -0.0993, 0.1995, 0.0195, 0.2044, 0.0111, 0.08120000000000001, 0.0942, 0.0882, 0.0952, 0.2026, 0.0105, 0.2008, 0.006200000000000001, 0.2029, -0.0193, 0.197, 0.0005, 0.0644, 0.06470000000000001, 0.062200000000000005, 0.003, 0.1961, -0.0213, 0.1948, 0.002, 0.0037, -0.1024, 0.0054, 0.0086, 0.2006, 0.006200000000000001, 0.2028, 0.0032, 0.08900000000000001, 0.0926, 0.10350000000000001, 0.0004, 0.011600000000000001, -0.010700000000000001, 0.0165, -0.0089, -0.036000000000000004, 0.009300000000000001, 0.0354, 0.037000000000000005, -0.0395, 0.0316, -0.034300000000000004, -0.046900000000000004, 0.0102, 0.069, 0.059300000000000005, -0.051000000000000004, 0.0587, -0.0318, -0.0805, 0.0017000000000000001, 0.10880000000000001, 0.0694, -0.0719, 0.07010000000000001, -0.0468, -0.09090000000000001, 0.0285, 0.10700000000000001], \"bitstrings\": [\"0110101\", \"0011101\"], \"total_optimization_steps\": 20, \"probabilities\": [0.05675732795660728, 0.05969083652930944], \"optimization_time\": 33.39864110946655}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(3) + -1.0 * Z(2) + 0.0 * Z(5)",5,7,4,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 7, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"0011101\", \"0110101\", \"1110001\", \"1011100\", \"0100111\", \"0001111\", \"1110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.2068) q[0];\nrz(0.0092) q[0];\nrx(0.1971) q[1];\nrz(0.0061) q[1];\nrx(0.0652) q[2];\nrz(0.0583) q[2];\nrx(0.1924) q[3];\nrz(0.0056) q[3];\nrx(0.0039) q[4];\nrz(-0.098) q[4];\nrx(0.2029) q[5];\nrz(0.0151) q[5];\nrx(0.0921) q[6];\nrz(0.0872) q[6];\ncrz(0.0093) q[6], q[5];\ncrz(-0.036) q[6], q[4];\ncrz(-0.0089) q[6], q[3];\ncrz(0.0165) q[6], q[2];\ncrz(-0.0107) q[6], q[1];\ncrz(0.0116) q[6], q[0];\ncrz(0.0354) q[5], q[6];\ncrz(-0.036) q[5], q[4];\ncrz(-0.0089) q[5], q[3];\ncrz(0.0165) q[5], q[2];\ncrz(-0.0107) q[5], q[1];\ncrz(0.0116) q[5], q[0];\ncrz(0.0354) q[4], q[6];\ncrz(0.0093) q[4], q[5];\ncrz(-0.0089) q[4], q[3];\ncrz(0.0165) q[4], q[2];\ncrz(-0.0107) q[4], q[1];\ncrz(0.0116) q[4], q[0];\ncrz(0.0354) q[3], q[6];\ncrz(0.0093) q[3], q[5];\ncrz(-0.036) q[3], q[4];\ncrz(0.0165) q[3], q[2];\ncrz(-0.0107) q[3], q[1];\ncrz(0.0116) q[3], q[0];\ncrz(0.0354) q[2], q[6];\ncrz(0.0093) q[2], q[5];\ncrz(-0.036) q[2], q[4];\ncrz(-0.0089) q[2], q[3];\ncrz(-0.0107) q[2], q[1];\ncrz(0.0116) q[2], q[0];\ncrz(0.0354) q[1], q[6];\ncrz(0.0093) q[1], q[5];\ncrz(-0.036) q[1], q[4];\ncrz(-0.0089) q[1], q[3];\ncrz(0.0165) q[1], q[2];\ncrz(0.0116) q[1], q[0];\ncrz(0.0354) q[0], q[6];\ncrz(0.0093) q[0], q[5];\ncrz(-0.036) q[0], q[4];\ncrz(-0.0089) q[0], q[3];\ncrz(0.0165) q[0], q[2];\ncrz(-0.0107) q[0], q[1];\nrx(0.2009) q[0];\nrz(0.0043) q[0];\nrx(0.2015) q[1];\nrz(-0.0018) q[1];\nrx(0.0636) q[2];\nrz(0.0541) q[2];\nrx(0.1982) q[3];\nrz(-0.0034) q[3];\nrx(-0.0003) q[4];\nrz(-0.103) q[4];\nrx(0.2032) q[5];\nrz(0.0091) q[5];\nrx(0.0884) q[6];\nrz(0.0838) q[6];\nrx(0.2018) q[0];\nrz(0.0069) q[0];\nrx(0.1999) q[1];\nrz(-0.001) q[1];\nrx(0.0635) q[2];\nrz(0.0538) q[2];\nrx(0.1971) q[3];\nrz(-0.0021) q[3];\nrx(-0.0011) q[4];\nrz(-0.0978) q[4];\nrx(0.2067) q[5];\nrz(0.0117) q[5];\nrx(0.0845) q[6];\nrz(0.0882) q[6];\ncrz(0.0102) q[6], q[5];\ncrz(-0.0469) q[6], q[4];\ncrz(-0.0343) q[6], q[3];\ncrz(0.0316) q[6], q[2];\ncrz(-0.0395) q[6], q[1];\ncrz(0.037) q[6], q[0];\ncrz(0.069) q[5], q[6];\ncrz(-0.0469) q[5], q[4];\ncrz(-0.0343) q[5], q[3];\ncrz(0.0316) q[5], q[2];\ncrz(-0.0395) q[5], q[1];\ncrz(0.037) q[5], q[0];\ncrz(0.069) q[4], q[6];\ncrz(0.0102) q[4], q[5];\ncrz(-0.0343) q[4], q[3];\ncrz(0.0316) q[4], q[2];\ncrz(-0.0395) q[4], q[1];\ncrz(0.037) q[4], q[0];\ncrz(0.069) q[3], q[6];\ncrz(0.0102) q[3], q[5];\ncrz(-0.0469) q[3], q[4];\ncrz(0.0316) q[3], q[2];\ncrz(-0.0395) q[3], q[1];\ncrz(0.037) q[3], q[0];\ncrz(0.069) q[2], q[6];\ncrz(0.0102) q[2], q[5];\ncrz(-0.0469) q[2], q[4];\ncrz(-0.0343) q[2], q[3];\ncrz(-0.0395) q[2], q[1];\ncrz(0.037) q[2], q[0];\ncrz(0.069) q[1], q[6];\ncrz(0.0102) q[1], q[5];\ncrz(-0.0469) q[1], q[4];\ncrz(-0.0343) q[1], q[3];\ncrz(0.0316) q[1], q[2];\ncrz(0.037) q[1], q[0];\ncrz(0.069) q[0], q[6];\ncrz(0.0102) q[0], q[5];\ncrz(-0.0469) q[0], q[4];\ncrz(-0.0343) q[0], q[3];\ncrz(0.0316) q[0], q[2];\ncrz(-0.0395) q[0], q[1];\nrx(0.1995) q[0];\nrz(0.0072) q[0];\nrx(0.1991) q[1];\nrz(-0.0064) q[1];\nrx(0.07) q[2];\nrz(0.0541) q[2];\nrx(0.193) q[3];\nrz(-0.0041) q[3];\nrx(0.0024) q[4];\nrz(-0.1068) q[4];\nrx(0.1986) q[5];\nrz(0.0143) q[5];\nrx(0.0828) q[6];\nrz(0.0917) q[6];\nrx(0.2005) q[0];\nrz(0.0139) q[0];\nrx(0.1957) q[1];\nrz(-0.002) q[1];\nrx(0.0675) q[2];\nrz(0.062) q[2];\nrx(0.1943) q[3];\nrz(-0.0079) q[3];\nrx(0.0052) q[4];\nrz(-0.0956) q[4];\nrx(0.1995) q[5];\nrz(0.0195) q[5];\nrx(0.0812) q[6];\nrz(0.0942) q[6];\ncrz(0.0017) q[6], q[5];\ncrz(-0.0805) q[6], q[4];\ncrz(-0.0318) q[6], q[3];\ncrz(0.0587) q[6], q[2];\ncrz(-0.051) q[6], q[1];\ncrz(0.0593) q[6], q[0];\ncrz(0.1088) q[5], q[6];\ncrz(-0.0805) q[5], q[4];\ncrz(-0.0318) q[5], q[3];\ncrz(0.0587) q[5], q[2];\ncrz(-0.051) q[5], q[1];\ncrz(0.0593) q[5], q[0];\ncrz(0.1088) q[4], q[6];\ncrz(0.0017) q[4], q[5];\ncrz(-0.0318) q[4], q[3];\ncrz(0.0587) q[4], q[2];\ncrz(-0.051) q[4], q[1];\ncrz(0.0593) q[4], q[0];\ncrz(0.1088) q[3], q[6];\ncrz(0.0017) q[3], q[5];\ncrz(-0.0805) q[3], q[4];\ncrz(0.0587) q[3], q[2];\ncrz(-0.051) q[3], q[1];\ncrz(0.0593) q[3], q[0];\ncrz(0.1088) q[2], q[6];\ncrz(0.0017) q[2], q[5];\ncrz(-0.0805) q[2], q[4];\ncrz(-0.0318) q[2], q[3];\ncrz(-0.051) q[2], q[1];\ncrz(0.0593) q[2], q[0];\ncrz(0.1088) q[1], q[6];\ncrz(0.0017) q[1], q[5];\ncrz(-0.0805) q[1], q[4];\ncrz(-0.0318) q[1], q[3];\ncrz(0.0587) q[1], q[2];\ncrz(0.0593) q[1], q[0];\ncrz(0.1088) q[0], q[6];\ncrz(0.0017) q[0], q[5];\ncrz(-0.0805) q[0], q[4];\ncrz(-0.0318) q[0], q[3];\ncrz(0.0587) q[0], q[2];\ncrz(-0.051) q[0], q[1];\nrx(0.2014) q[0];\nrz(0.0078) q[0];\nrx(0.2005) q[1];\nrz(-0.0132) q[1];\nrx(0.0702) q[2];\nrz(0.0546) q[2];\nrx(0.1964) q[3];\nrz(-0.0129) q[3];\nrx(0.0024) q[4];\nrz(-0.0993) q[4];\nrx(0.2044) q[5];\nrz(0.0111) q[5];\nrx(0.0882) q[6];\nrz(0.0952) q[6];\nrx(0.2026) q[0];\nrz(0.0105) q[0];\nrx(0.2029) q[1];\nrz(-0.0193) q[1];\nrx(0.0644) q[2];\nrz(0.0647) q[2];\nrx(0.1961) q[3];\nrz(-0.0213) q[3];\nrx(0.0037) q[4];\nrz(-0.1024) q[4];\nrx(0.2006) q[5];\nrz(0.0062) q[5];\nrx(0.089) q[6];\nrz(0.0926) q[6];\ncrz(0.0285) q[6], q[5];\ncrz(-0.0909) q[6], q[4];\ncrz(-0.0468) q[6], q[3];\ncrz(0.0701) q[6], q[2];\ncrz(-0.0719) q[6], q[1];\ncrz(0.0694) q[6], q[0];\ncrz(0.107) q[5], q[6];\ncrz(-0.0909) q[5], q[4];\ncrz(-0.0468) q[5], q[3];\ncrz(0.0701) q[5], q[2];\ncrz(-0.0719) q[5], q[1];\ncrz(0.0694) q[5], q[0];\ncrz(0.107) q[4], q[6];\ncrz(0.0285) q[4], q[5];\ncrz(-0.0468) q[4], q[3];\ncrz(0.0701) q[4], q[2];\ncrz(-0.0719) q[4], q[1];\ncrz(0.0694) q[4], q[0];\ncrz(0.107) q[3], q[6];\ncrz(0.0285) q[3], q[5];\ncrz(-0.0909) q[3], q[4];\ncrz(0.0701) q[3], q[2];\ncrz(-0.0719) q[3], q[1];\ncrz(0.0694) q[3], q[0];\ncrz(0.107) q[2], q[6];\ncrz(0.0285) q[2], q[5];\ncrz(-0.0909) q[2], q[4];\ncrz(-0.0468) q[2], q[3];\ncrz(-0.0719) q[2], q[1];\ncrz(0.0694) q[2], q[0];\ncrz(0.107) q[1], q[6];\ncrz(0.0285) q[1], q[5];\ncrz(-0.0909) q[1], q[4];\ncrz(-0.0468) q[1], q[3];\ncrz(0.0701) q[1], q[2];\ncrz(0.0694) q[1], q[0];\ncrz(0.107) q[0], q[6];\ncrz(0.0285) q[0], q[5];\ncrz(-0.0909) q[0], q[4];\ncrz(-0.0468) q[0], q[3];\ncrz(0.0701) q[0], q[2];\ncrz(-0.0719) q[0], q[1];\nrx(0.2008) q[0];\nrz(0.0062) q[0];\nrx(0.197) q[1];\nrz(0.0005) q[1];\nrx(0.0622) q[2];\nrz(0.003) q[2];\nrx(0.1948) q[3];\nrz(0.002) q[3];\nrx(0.0054) q[4];\nrz(0.0086) q[4];\nrx(0.2028) q[5];\nrz(0.0032) q[5];\nrx(0.1035) q[6];\nrz(0.0004) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[6], q[5];\ncrz(x15) q[6], q[4];\ncrz(x16) q[6], q[3];\ncrz(x17) q[6], q[2];\ncrz(x18) q[6], q[1];\ncrz(x19) q[6], q[0];\ncrz(x20) q[5], q[6];\ncrz(x15) q[5], q[4];\ncrz(x16) q[5], q[3];\ncrz(x17) q[5], q[2];\ncrz(x18) q[5], q[1];\ncrz(x19) q[5], q[0];\ncrz(x20) q[4], q[6];\ncrz(x14) q[4], q[5];\ncrz(x16) q[4], q[3];\ncrz(x17) q[4], q[2];\ncrz(x18) q[4], q[1];\ncrz(x19) q[4], q[0];\ncrz(x20) q[3], q[6];\ncrz(x14) q[3], q[5];\ncrz(x15) q[3], q[4];\ncrz(x17) q[3], q[2];\ncrz(x18) q[3], q[1];\ncrz(x19) q[3], q[0];\ncrz(x20) q[2], q[6];\ncrz(x14) q[2], q[5];\ncrz(x15) q[2], q[4];\ncrz(x16) q[2], q[3];\ncrz(x18) q[2], q[1];\ncrz(x19) q[2], q[0];\ncrz(x20) q[1], q[6];\ncrz(x14) q[1], q[5];\ncrz(x15) q[1], q[4];\ncrz(x16) q[1], q[3];\ncrz(x17) q[1], q[2];\ncrz(x19) q[1], q[0];\ncrz(x20) q[0], q[6];\ncrz(x14) q[0], q[5];\ncrz(x15) q[0], q[4];\ncrz(x16) q[0], q[3];\ncrz(x17) q[0], q[2];\ncrz(x18) q[0], q[1];\nrx(x21) q[0];\nrz(x22) q[0];\nrx(x23) q[1];\nrz(x24) q[1];\nrx(x25) q[2];\nrz(x26) q[2];\nrx(x27) q[3];\nrz(x28) q[3];\nrx(x29) q[4];\nrz(x30) q[4];\nrx(x31) q[5];\nrz(x32) q[5];\nrx(x33) q[6];\nrz(x34) q[6];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x2) q[3];\nrz(x41) q[3];\nrx(x42) q[4];\nrz(x43) q[4];\nrx(x44) q[5];\nrz(x45) q[5];\nrx(x46) q[6];\nrz(x47) q[6];\ncrz(x48) q[6], q[5];\ncrz(x49) q[6], q[4];\ncrz(x50) q[6], q[3];\ncrz(x51) q[6], q[2];\ncrz(x52) q[6], q[1];\ncrz(x53) q[6], q[0];\ncrz(x54) q[5], q[6];\ncrz(x49) q[5], q[4];\ncrz(x50) q[5], q[3];\ncrz(x51) q[5], q[2];\ncrz(x52) q[5], q[1];\ncrz(x53) q[5], q[0];\ncrz(x54) q[4], q[6];\ncrz(x48) q[4], q[5];\ncrz(x50) q[4], q[3];\ncrz(x51) q[4], q[2];\ncrz(x52) q[4], q[1];\ncrz(x53) q[4], q[0];\ncrz(x54) q[3], q[6];\ncrz(x48) q[3], q[5];\ncrz(x49) q[3], q[4];\ncrz(x51) q[3], q[2];\ncrz(x52) q[3], q[1];\ncrz(x53) q[3], q[0];\ncrz(x54) q[2], q[6];\ncrz(x48) q[2], q[5];\ncrz(x49) q[2], q[4];\ncrz(x50) q[2], q[3];\ncrz(x52) q[2], q[1];\ncrz(x53) q[2], q[0];\ncrz(x54) q[1], q[6];\ncrz(x48) q[1], q[5];\ncrz(x49) q[1], q[4];\ncrz(x50) q[1], q[3];\ncrz(x51) q[1], q[2];\ncrz(x53) q[1], q[0];\ncrz(x54) q[0], q[6];\ncrz(x48) q[0], q[5];\ncrz(x49) q[0], q[4];\ncrz(x50) q[0], q[3];\ncrz(x51) q[0], q[2];\ncrz(x52) q[0], q[1];\nrx(x55) q[0];\nrz(x56) q[0];\nrx(x57) q[1];\nrz(x58) q[1];\nrx(x59) q[2];\nrz(x26) q[2];\nrx(x60) q[3];\nrz(x61) q[3];\nrx(x62) q[4];\nrz(x63) q[4];\nrx(x64) q[5];\nrz(x65) q[5];\nrx(x66) q[6];\nrz(x67) q[6];\nrx(x68) q[0];\nrz(x69) q[0];\nrx(x70) q[1];\nrz(x71) q[1];\nrx(x72) q[2];\nrz(x73) q[2];\nrx(x74) q[3];\nrz(x75) q[3];\nrx(x76) q[4];\nrz(x77) q[4];\nrx(x55) q[5];\nrz(x78) q[5];\nrx(x79) q[6];\nrz(x80) q[6];\ncrz(x81) q[6], q[5];\ncrz(x82) q[6], q[4];\ncrz(x83) q[6], q[3];\ncrz(x84) q[6], q[2];\ncrz(x85) q[6], q[1];\ncrz(x86) q[6], q[0];\ncrz(x87) q[5], q[6];\ncrz(x82) q[5], q[4];\ncrz(x83) q[5], q[3];\ncrz(x84) q[5], q[2];\ncrz(x85) q[5], q[1];\ncrz(x86) q[5], q[0];\ncrz(x87) q[4], q[6];\ncrz(x81) q[4], q[5];\ncrz(x83) q[4], q[3];\ncrz(x84) q[4], q[2];\ncrz(x85) q[4], q[1];\ncrz(x86) q[4], q[0];\ncrz(x87) q[3], q[6];\ncrz(x81) q[3], q[5];\ncrz(x82) q[3], q[4];\ncrz(x84) q[3], q[2];\ncrz(x85) q[3], q[1];\ncrz(x86) q[3], q[0];\ncrz(x87) q[2], q[6];\ncrz(x81) q[2], q[5];\ncrz(x82) q[2], q[4];\ncrz(x83) q[2], q[3];\ncrz(x85) q[2], q[1];\ncrz(x86) q[2], q[0];\ncrz(x87) q[1], q[6];\ncrz(x81) q[1], q[5];\ncrz(x82) q[1], q[4];\ncrz(x83) q[1], q[3];\ncrz(x84) q[1], q[2];\ncrz(x86) q[1], q[0];\ncrz(x87) q[0], q[6];\ncrz(x81) q[0], q[5];\ncrz(x82) q[0], q[4];\ncrz(x83) q[0], q[3];\ncrz(x84) q[0], q[2];\ncrz(x85) q[0], q[1];\nrx(x88) q[0];\nrz(x89) q[0];\nrx(x68) q[1];\nrz(x90) q[1];\nrx(x91) q[2];\nrz(x92) q[2];\nrx(x93) q[3];\nrz(x94) q[3];\nrx(x62) q[4];\nrz(x95) q[4];\nrx(x96) q[5];\nrz(x97) q[5];\nrx(x47) q[6];\nrz(x98) q[6];\nrx(x99) q[0];\nrz(x100) q[0];\nrx(x10) q[1];\nrz(x101) q[1];\nrx(x102) q[2];\nrz(x103) q[2];\nrx(x104) q[3];\nrz(x105) q[3];\nrx(x106) q[4];\nrz(x107) q[4];\nrx(x108) q[5];\nrz(x109) q[5];\nrx(x110) q[6];\nrz(x111) q[6];\ncrz(x112) q[6], q[5];\ncrz(x113) q[6], q[4];\ncrz(x114) q[6], q[3];\ncrz(x115) q[6], q[2];\ncrz(x116) q[6], q[1];\ncrz(x117) q[6], q[0];\ncrz(x118) q[5], q[6];\ncrz(x113) q[5], q[4];\ncrz(x114) q[5], q[3];\ncrz(x115) q[5], q[2];\ncrz(x116) q[5], q[1];\ncrz(x117) q[5], q[0];\ncrz(x118) q[4], q[6];\ncrz(x112) q[4], q[5];\ncrz(x114) q[4], q[3];\ncrz(x115) q[4], q[2];\ncrz(x116) q[4], q[1];\ncrz(x117) q[4], q[0];\ncrz(x118) q[3], q[6];\ncrz(x112) q[3], q[5];\ncrz(x113) q[3], q[4];\ncrz(x115) q[3], q[2];\ncrz(x116) q[3], q[1];\ncrz(x117) q[3], q[0];\ncrz(x118) q[2], q[6];\ncrz(x112) q[2], q[5];\ncrz(x113) q[2], q[4];\ncrz(x114) q[2], q[3];\ncrz(x116) q[2], q[1];\ncrz(x117) q[2], q[0];\ncrz(x118) q[1], q[6];\ncrz(x112) q[1], q[5];\ncrz(x113) q[1], q[4];\ncrz(x114) q[1], q[3];\ncrz(x115) q[1], q[2];\ncrz(x117) q[1], q[0];\ncrz(x118) q[0], q[6];\ncrz(x112) q[0], q[5];\ncrz(x113) q[0], q[4];\ncrz(x114) q[0], q[3];\ncrz(x115) q[0], q[2];\ncrz(x116) q[0], q[1];\nrx(x119) q[0];\nrz(x109) q[0];\nrx(x120) q[1];\nrz(x121) q[1];\nrx(x122) q[2];\nrz(x123) q[2];\nrx(x124) q[3];\nrz(x125) q[3];\nrx(x126) q[4];\nrz(x127) q[4];\nrx(x128) q[5];\nrz(x129) q[5];\nrx(x130) q[6];\nrz(x131) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["3669556b5012b2bd0210027af1e5ed26","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 0, \"target\": 8}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 7}, {\"capacity\": 3, \"source\": 2, \"target\": 8}, {\"capacity\": 4, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 3, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 1}, {\"capacity\": 2, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 6}, {\"capacity\": 4, \"source\": 7, \"target\": 8}]}","{\"states\": [83, 255], \"expectation_value\": -8.322194598654349, \"params\": null, \"bitstrings\": [\"110101100\", \"100000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.05633343200683513, 0.7768648491281878], \"optimization_time\": 183.60058164596558}","-0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * Z(6) + -0.25 * Z(0) + -1.25 * Z(8) + -0.5 * Z(2) + 0.0 * Z(1) + 0.75 * Z(3) + 0.25 * Z(5) + 1.25 * Z(7) + 0.5 * Z(4)",1,9,2,"{\"smallest_eigenvalues\": [-9.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.25, \"smallest_bitstrings\": [\"100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[7];\ncry(1.5681) q[5], q[1];\ncry(1.5708) q[1], q[3];\ncry(1.1181) q[3], q[5];\ncry(0.4223) q[3], q[1];\ncry(1.5679) q[1], q[2];\nry(1.5486) q[4];\ncry(1.4996) q[5], q[6];\ncry(1.3975) q[2], q[8];\ncry(-1.4547) q[8], q[0];\ncry(0.1672) q[2], q[5];\ncry(-0.3412) q[7], q[6];\ncry(0.3787) q[1], q[6];\nry(-0.3142) q[6];\ncry(-0.0618) q[7], q[3];\ncry(0.222) q[2], q[6];\ncry(-0.1889) q[4], q[6];\ncry(0.1221) q[1], q[8];\ncry(0.0616) q[5], q[3];\nry(-0.06) q[3];\ncry(0.1793) q[3], q[6];\ncry(0.0271) q[2], q[1];\ncry(0.0476) q[6], q[3];\ncry(-0.0448) q[4], q[3];\ncry(-0.1089) q[7], q[0];\ncry(0.0294) q[2], q[3];\ncry(-0.0738) q[8], q[6];\ncry(-0.0043) q[6], q[1];\ncry(-0.0215) q[7], q[8];\ncry(-0.0143) q[8], q[3];\ncry(0.0002) q[8], q[7];\ncry(-0.0031) q[7], q[5];\ncry(0.0146) q[1], q[5];\ncry(-0.0123) q[4], q[5];\ncry(0.0284) q[5], q[8];\ncry(-0.0244) q[4], q[8];\ncry(-0.0749) q[0], q[6];\ncry(0.0221) q[6], q[8];\nry(-0.0193) q[8];\ncry(0.0223) q[7], q[4];\ncry(0.0133) q[8], q[2];\ncry(-0.0112) q[5], q[2];\ncry(0.015) q[3], q[8];\ncry(0.0106) q[6], q[2];\ncry(-0.0097) q[7], q[2];\ncry(-0.0515) q[0], q[3];\ncry(-0.011) q[2], q[0];\ncry(-0.0323) q[0], q[2];\ncry(-0.0004) q[8], q[5];\ncry(0.0019) q[7], q[1];\ncry(0.0002) q[4], q[1];\ncry(0.0006) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"source\": 0, \"sink\": 8}",{"$cut":{"chars":119452,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[7];\\ncry(1.5681) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[7];\\ncry(1.5681) q[5], q[1];\\ncry(1.5708) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[7];\\ncry(1.5681) q[5], q[1];\\ncry(1.5708) q[1], q[3];\\ncry(1.1181) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[7];\\ncry(1.5681) q[5], q[1];\\ncry(1.5708) q[1], q[3];\\ncry(1.1181) q[3], q[5];\\ncry(0.4223) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[7];\\ncry(1.5681) q[5], q[1];\\ncry(1.5708) q[1], q[3];\\ncry(1.1181) q[3], q[5];\\ncry(0.4223) q[3], q[1];\\ncry(1.5679) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[7];\\ncry(1.5681) q[5], q[1];\\ncry(1.5708) q[1], q[3];\\ncry(1.1181) q[3], q[5];\\ncry(0.4223) q[3], q[1];\\ncry(1.5679) q[1], q[2];\\nry(1.5486) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[7];\\ncry(1.5681) q[5], q[1];\\ncry(1.5708) q[1], q[3];\\ncry(1.1181) q[3], q[5];\\ncry(0.4223) q[3], q[1];\\ncry(1.5679) q[1], q[2];\\nry(1.5486) q[4];\\ncry(1.4996) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[7];\\ncry(1.5681) q[5], q[1];\\ncry(1.5708) q[1], q[3];\\ncry(1.1181) q[3], q[5];\\ncry(0.4223) q[3], q[1];\\ncry(1.5679) q[1], q[2];\\nry(1.5486) q[4];\\ncry(1.4996) q[5], q[6];\\ncry(1.3975) q[2], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measur"}}]
["cde6b48ed870286595c1455af7aff8bd","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}]}","{\"states\": [1, 14], \"expectation_value\": -0.23023771589134862, \"params\": [[-0.0562, -0.058300000000000005, -0.07970000000000001], [0.0711, 0.0626, 0.0731]], \"bitstrings\": [\"1110\", \"0001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.07437773644061468, 0.08565613940594616], \"optimization_time\": 1.6085500717163086}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2)",1,4,3,"{\"smallest_eigenvalues\": [-2.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"0001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[3], q[0];\nrz(-0.0562) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0562) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(-0.0562) q[2];\ncx q[3], q[2];\nrz(0.1124) q[3];\nrz(0) q[0];\nrz(0) q[1];\nrz(0) q[2];\nh q[0];\nrz(0.1422) q[0];\nh q[0];\nh q[1];\nrz(0.1422) q[1];\nh q[1];\nh q[2];\nrz(0.1422) q[2];\nh q[2];\nh q[3];\nrz(0.1422) q[3];\nh q[3];\ncx q[3], q[0];\nrz(-0.0583) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0583) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(-0.0583) q[2];\ncx q[3], q[2];\nrz(0.1166) q[3];\nrz(0) q[0];\nrz(0) q[1];\nrz(0) q[2];\nh q[0];\nrz(0.1252) q[0];\nh q[0];\nh q[1];\nrz(0.1252) q[1];\nh q[1];\nh q[2];\nrz(0.1252) q[2];\nh q[2];\nh q[3];\nrz(0.1252) q[3];\nh q[3];\ncx q[3], q[0];\nrz(-0.0797) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0797) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(-0.0797) q[2];\ncx q[3], q[2];\nrz(0.1594) q[3];\nrz(0) q[0];\nrz(0) q[1];\nrz(0) q[2];\nh q[0];\nrz(0.1462) q[0];\nh q[0];\nh q[1];\nrz(0.1462) q[1];\nh q[1];\nh q[2];\nrz(0.1462) q[2];\nh q[2];\nh q[3];\nrz(0.1462) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x2) q[1];\nrz(x2) q[2];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\ncx q[3], q[0];\nrz(x4) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x4) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x4) q[2];\ncx q[3], q[2];\nrz(x5) q[3];\nrz(x2) q[0];\nrz(x2) q[1];\nrz(x2) q[2];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\ncx q[3], q[0];\nrz(x7) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x7) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x7) q[2];\ncx q[3], q[2];\nrz(x8) q[3];\nrz(x2) q[0];\nrz(x2) q[1];\nrz(x2) q[2];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];",null,"{\"circuits\": [], \"gradients\": []}"]
["-3315078513891188780","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[8, 4], [2, 7], [1, 4], [0, 7], [4, 6], [5, 6], [1, 5], [4, 7], [3, 4], [3, 5], [0, 3], [8, 0]]}","{\"states\": [39, 167], \"expectation_value\": -1.013551530823676, \"params\": [0.5689000000000001, 0.5751000000000001, 0.8767, 0.8749, 0.46790000000000004, 0.395, 0.9024000000000001, 0.9820000000000001, 0.5859, 0.5844, 0.5631, 0.5785, 0.9951000000000001, 0.9520000000000001, 1.0005, 0.9922000000000001, 0.9991000000000001, 0.9952000000000001, 0.64, 0.7809, 0.9879, -0.7787000000000001, 0.3685, 0.9129, 0.9757, 0.37360000000000004, 0.1378, 0.8323, 0.3352, 0.33430000000000004, -0.5518000000000001, 0.8736, 0.9855, -0.5633, 0.9848, 0.6614], \"bitstrings\": [\"111011000\", \"101011000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.030280638903043656, 0.038085390133167474], \"optimization_time\": 6.451803922653198}","0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(3)",14,9,1,"{\"smallest_eigenvalues\": [-6.0, -6.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"101011000\", \"010100111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.5689) q[0];\nry(0.8767) q[1];\nry(0.4679) q[2];\nry(0.9024) q[3];\nry(0.5859) q[4];\nry(0.5631) q[5];\nry(0.9951) q[6];\nry(1.0005) q[7];\nry(0.9991) q[8];\ncrx(0.64) q[8], q[0];\ncrx(0.9848) q[7], q[8];\ncrx(0.9855) q[6], q[7];\ncrx(-0.5518) q[5], q[6];\ncrx(0.3352) q[4], q[5];\ncrx(0.1378) q[3], q[4];\ncrx(0.9757) q[2], q[3];\ncrx(0.3685) q[1], q[2];\ncrx(0.9879) q[0], q[1];\nry(0.5751) q[0];\nry(0.8749) q[1];\nry(0.395) q[2];\nry(0.982) q[3];\nry(0.5844) q[4];\nry(0.5785) q[5];\nry(0.952) q[6];\nry(0.9922) q[7];\nry(0.9952) q[8];\ncrx(0.7809) q[8], q[7];\ncrx(-0.7787) q[0], q[8];\ncrx(0.9129) q[0], q[1];\ncrx(0.3736) q[1], q[2];\ncrx(0.8323) q[2], q[3];\ncrx(0.3343) q[3], q[4];\ncrx(0.8736) q[4], q[5];\ncrx(-0.5633) q[5], q[6];\ncrx(0.6614) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x31) q[2], q[3];\ncrx(x32) q[3], q[4];\ncrx(x33) q[4], q[5];\ncrx(x34) q[5], q[6];\ncrx(x35) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["64b81587301614454a8e204aef648a08","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 6, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 7}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 6, \"target\": 2}]}","{\"states\": [111, 65], \"expectation_value\": -0.5734849845676133, \"params\": [[0.0218, 0.0454], [-0.0216, -0.040400000000000005]], \"bitstrings\": [\"10010000\", \"10111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004975252420643002, 0.005048656131384307], \"optimization_time\": 3.1751129627227783}","-0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75 * Z(7) + 2.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6)",1,8,2,"{\"smallest_eigenvalues\": [-13.5, -13.5, -13.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"10010000\", \"10011000\", \"10111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.0109) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.0654) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0327) q[4];\ncx q[1], q[4];\ncx q[1], q[7];\nrz(-0.0545) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.0872) q[7];\ncx q[0], q[7];\ncx q[3], q[2];\nrz(-0.0327) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0436) q[2];\ncx q[4], q[2];\ncx q[3], q[5];\nrz(-0.0327) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.0545) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(-0.0218) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0218) q[6];\ncx q[5], q[6];\nrz(0.0763) q[1];\nrz(-0.0109) q[0];\nrz(-0.1308) q[3];\nrz(-0.0763) q[4];\nrz(0.0327) q[7];\nrz(0.109) q[2];\nrz(0) q[5];\nrz(0) q[6];\nh q[0];\nrz(-0.0432) q[0];\nh q[0];\nh q[1];\nrz(-0.0432) q[1];\nh q[1];\nh q[2];\nrz(-0.0432) q[2];\nh q[2];\nh q[3];\nrz(-0.0432) q[3];\nh q[3];\nh q[4];\nrz(-0.0432) q[4];\nh q[4];\nh q[5];\nrz(-0.0432) q[5];\nh q[5];\nh q[6];\nrz(-0.0432) q[6];\nh q[6];\nh q[7];\nrz(-0.0432) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0227) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.1362) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0681) q[4];\ncx q[1], q[4];\ncx q[1], q[7];\nrz(-0.1135) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.1816) q[7];\ncx q[0], q[7];\ncx q[3], q[2];\nrz(-0.0681) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0908) q[2];\ncx q[4], q[2];\ncx q[3], q[5];\nrz(-0.0681) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.1135) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(-0.0454) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0454) q[6];\ncx q[5], q[6];\nrz(0.1589) q[1];\nrz(-0.0227) q[0];\nrz(-0.2724) q[3];\nrz(-0.1589) q[4];\nrz(0.0681) q[7];\nrz(0.227) q[2];\nrz(0) q[5];\nrz(0) q[6];\nh q[0];\nrz(-0.0808) q[0];\nh q[0];\nh q[1];\nrz(-0.0808) q[1];\nh q[1];\nh q[2];\nrz(-0.0808) q[2];\nh q[2];\nh q[3];\nrz(-0.0808) q[3];\nh q[3];\nh q[4];\nrz(-0.0808) q[4];\nh q[4];\nh q[5];\nrz(-0.0808) q[5];\nh q[5];\nh q[6];\nrz(-0.0808) q[6];\nh q[6];\nh q[7];\nrz(-0.0808) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[3], q[2];\nrz(x2) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x5) q[2];\ncx q[4], q[2];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\nrz(x7) q[1];\nrz(x0) q[0];\nrz(x8) q[3];\nrz(x9) q[4];\nrz(x10) q[7];\nrz(x11) q[2];\nrz(x12) q[5];\nrz(x12) q[6];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\nh q[7];\nrz(x13) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x14) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x15) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x16) q[4];\ncx q[1], q[4];\ncx q[1], q[7];\nrz(x17) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x18) q[7];\ncx q[0], q[7];\ncx q[3], q[2];\nrz(x16) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x19) q[2];\ncx q[4], q[2];\ncx q[3], q[5];\nrz(x16) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x17) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(x20) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\nrz(x21) q[1];\nrz(x14) q[0];\nrz(x22) q[3];\nrz(x23) q[4];\nrz(x24) q[7];\nrz(x25) q[2];\nrz(x12) q[5];\nrz(x12) q[6];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["6317467715134932870","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 3, 4, 6], [2, 4, 6], [0, 4, 6], [0, 1, 4, 5], [0, 2, 3, 4, 5]]}","{\"states\": [121, 123], \"expectation_value\": -0.6833007773520742, \"params\": [[-0.3835], [0.3775]], \"bitstrings\": [\"0000110\", \"0000100\"], \"total_optimization_steps\": 40, \"probabilities\": [0.016939895975357964, 0.017193387196027945], \"optimization_time\": 2.255878448486328}","0.08333333333333333 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(4)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.05 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.3 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.22499999999999995 * Z(3) + 0.24999999999999994 * Z(1) + 0.6833333333333332 * Z(4) + 0.45833333333333326 * Z(6) + 0.26666666666666666 * Z(2) + 0.3916666666666667 * Z(0) + 0.22499999999999995 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-1.3666666666666665, -1.3666666666666665], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.2833333333333334, \"smallest_bitstrings\": [\"0000011\", \"0000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[1];\nrz(-0.0639) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(-0.1023) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(-0.1278) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(-0.0639) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(-0.0639) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(-0.3196) q[6];\ncx q[4], q[6];\ncx q[3], q[2];\nrz(-0.0384) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.1662) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(-0.1278) q[2];\ncx q[6], q[2];\ncx q[3], q[0];\nrz(-0.0384) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(-0.0639) q[0];\ncx q[1], q[0];\ncx q[4], q[0];\nrz(-0.2301) q[0];\ncx q[4], q[0];\ncx q[6], q[0];\nrz(-0.1278) q[0];\ncx q[6], q[0];\ncx q[2], q[0];\nrz(-0.0384) q[0];\ncx q[2], q[0];\ncx q[3], q[5];\nrz(-0.0384) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.0639) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.1023) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(-0.0384) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.1023) q[5];\ncx q[0], q[5];\nrz(-0.1726) q[3];\nrz(-0.1917) q[1];\nrz(-0.5241) q[4];\nrz(-0.3515) q[6];\nrz(-0.2045) q[2];\nrz(-0.3004) q[0];\nrz(-0.1726) q[5];\nh q[0];\nrz(0.755) q[0];\nh q[0];\nh q[1];\nrz(0.755) q[1];\nh q[1];\nh q[2];\nrz(0.755) q[2];\nh q[2];\nh q[3];\nrz(0.755) q[3];\nh q[3];\nh q[4];\nrz(0.755) q[4];\nh q[4];\nh q[5];\nrz(0.755) q[5];\nh q[5];\nh q[6];\nrz(0.755) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[3], q[2];\nrz(x4) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x5) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x2) q[2];\ncx q[6], q[2];\ncx q[3], q[0];\nrz(x4) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[4], q[0];\nrz(x6) q[0];\ncx q[4], q[0];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[2], q[0];\nrz(x4) q[0];\ncx q[2], q[0];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x4) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\nrz(x7) q[3];\nrz(x8) q[1];\nrz(x9) q[4];\nrz(x10) q[6];\nrz(x11) q[2];\nrz(x12) q[0];\nrz(x7) q[5];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["-7841320215262725219","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 1, 5], [0, 2], [1, 2, 4, 5], [0, 3, 5]]}","{\"states\": [54, 29], \"expectation_value\": -0.5269686292438232, \"params\": [[0.3776], [-0.37870000000000004]], \"bitstrings\": [\"001001\", \"100010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.033882040271998606, 0.03493233300288741], \"optimization_time\": 2.5241849422454834}","0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.29166666666666663 * Z(1) + 0.3333333333333335 * Z(0) + 0.45833333333333337 * Z(5) + 0.1250000000000001 * Z(2) + 0.125 * Z(4) + 0.16666666666666666 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-1.4166666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.3333333333333337, \"smallest_bitstrings\": [\"100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(0.1259) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(0.1888) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.2517) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(0.0629) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.3776) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(0.0629) q[2];\ncx q[5], q[2];\ncx q[1], q[4];\nrz(0.0629) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(0.0629) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(0.0629) q[4];\ncx q[2], q[4];\ncx q[0], q[3];\nrz(0.1259) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(0.1259) q[3];\ncx q[5], q[3];\nrz(0.2203) q[1];\nrz(0.2517) q[0];\nrz(0.3461) q[5];\nrz(0.0944) q[2];\nrz(0.0944) q[4];\nrz(0.1259) q[3];\nh q[0];\nrz(-0.7574) q[0];\nh q[0];\nh q[1];\nrz(-0.7574) q[1];\nh q[1];\nh q[2];\nrz(-0.7574) q[2];\nh q[2];\nh q[3];\nrz(-0.7574) q[3];\nh q[3];\nh q[4];\nrz(-0.7574) q[4];\nh q[4];\nh q[5];\nrz(-0.7574) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(x3) q[2];\ncx q[5], q[2];\ncx q[1], q[4];\nrz(x3) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x3) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\nrz(x5) q[1];\nrz(x2) q[0];\nrz(x6) q[5];\nrz(x7) q[2];\nrz(x7) q[4];\nrz(x0) q[3];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["8047548112405845728","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[1, 3, 6, 7, 8], [9, 3, 7], [0, 4], [9, 4, 7], [0, 6], [8, 3, 4, 7], [0, 1, 2, 3, 9], [1, 3, 5, 7, 8], [9, 3, 5]]}","{\"states\": [507, 491], \"expectation_value\": -2.5695276335208534, \"params\": [0.19720000000000001, 0.6623, 0.1967, 0.0018000000000000002, 1.4916, -0.0207, 1.4823000000000002, 0.0077, 1.5005000000000002, 0.0926, 1.4812, 0.0002, 1.4876, 0.2763, 1.2504, 0.0048000000000000004, 1.5021, -0.07590000000000001, 1.4984000000000002, 0.0018000000000000002, 1.1766, -0.3957, 0.9390000000000001, 0.0008, 1.4962, -0.12010000000000001, 1.4965000000000002, 0.0046, 0.8386, -0.6038, 0.7185, 0.008700000000000001, 1.4934, -0.0045000000000000005, 1.484, 0.0005, 1.4987000000000001, 0.0454, 1.4882, 0.0067, 0.67, 0.0149, 0.034800000000000005, -0.0582, 0.053000000000000005, -0.2745, 0.0648, -0.5119, 0.0077, 0.003], \"bitstrings\": [\"1000000100\", \"1000010100\"], \"total_optimization_steps\": 150, \"probabilities\": [0.32052702106469677, 0.5006970149631482], \"optimization_time\": 63.86075711250305}","0.15000000000000002 * (Z(1) @ Z(3)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(1)) + 0.35 * (Z(7) @ Z(3)) + 0.1 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(6)) + 0.18333333333333335 * (Z(8) @ Z(3)) + 0.1 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(6)) + 0.18333333333333335 * (Z(8) @ Z(7)) + 0.3833333333333333 * (Z(9) @ Z(3)) + 0.05 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(7)) + 0.05 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(0)) + 0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(9)) + 0.05 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(7)) + 0.05 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.7583333333333333 * Z(3) + 0.30000000000000004 * Z(1) + 0.09999999999999998 * Z(6) + 0.6583333333333333 * Z(7) + 0.325 * Z(8) + 0.6 * Z(9) + 0.09999999999999987 * Z(0) + 0.29166666666666663 * Z(4) + 0.1 * Z(2) + 0.26666666666666666 * Z(5)",5,10,1,"{\"smallest_eigenvalues\": [-2.8500000000000005, -2.8500000000000005], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.8499999999999996, \"smallest_bitstrings\": [\"1010010100\", \"1000010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.1972) q[0];\nrz(0.6623) q[0];\nrx(1.4916) q[1];\nrz(-0.0207) q[1];\nrx(1.5005) q[2];\nrz(0.0926) q[2];\nrx(1.4876) q[3];\nrz(0.2763) q[3];\nrx(1.5021) q[4];\nrz(-0.0759) q[4];\nrx(1.1766) q[5];\nrz(-0.3957) q[5];\nrx(1.4962) q[6];\nrz(-0.1201) q[6];\nrx(0.8386) q[7];\nrz(-0.6038) q[7];\nrx(1.4934) q[8];\nrz(-0.0045) q[8];\nrx(1.4987) q[9];\nrz(0.0454) q[9];\ncrz(0.0077) q[9], q[8];\ncrz(-0.5119) q[9], q[7];\ncrz(0.0648) q[9], q[6];\ncrz(-0.2745) q[9], q[5];\ncrz(0.053) q[9], q[4];\ncrz(-0.0582) q[9], q[3];\ncrz(0.0348) q[9], q[2];\ncrz(0.0149) q[9], q[1];\ncrz(0.67) q[9], q[0];\ncrz(0.003) q[8], q[9];\ncrz(-0.5119) q[8], q[7];\ncrz(0.0648) q[8], q[6];\ncrz(-0.2745) q[8], q[5];\ncrz(0.053) q[8], q[4];\ncrz(-0.0582) q[8], q[3];\ncrz(0.0348) q[8], q[2];\ncrz(0.0149) q[8], q[1];\ncrz(0.67) q[8], q[0];\ncrz(0.003) q[7], q[9];\ncrz(0.0077) q[7], q[8];\ncrz(0.0648) q[7], q[6];\ncrz(-0.2745) q[7], q[5];\ncrz(0.053) q[7], q[4];\ncrz(-0.0582) q[7], q[3];\ncrz(0.0348) q[7], q[2];\ncrz(0.0149) q[7], q[1];\ncrz(0.67) q[7], q[0];\ncrz(0.003) q[6], q[9];\ncrz(0.0077) q[6], q[8];\ncrz(-0.5119) q[6], q[7];\ncrz(-0.2745) q[6], q[5];\ncrz(0.053) q[6], q[4];\ncrz(-0.0582) q[6], q[3];\ncrz(0.0348) q[6], q[2];\ncrz(0.0149) q[6], q[1];\ncrz(0.67) q[6], q[0];\ncrz(0.003) q[5], q[9];\ncrz(0.0077) q[5], q[8];\ncrz(-0.5119) q[5], q[7];\ncrz(0.0648) q[5], q[6];\ncrz(0.053) q[5], q[4];\ncrz(-0.0582) q[5], q[3];\ncrz(0.0348) q[5], q[2];\ncrz(0.0149) q[5], q[1];\ncrz(0.67) q[5], q[0];\ncrz(0.003) q[4], q[9];\ncrz(0.0077) q[4], q[8];\ncrz(-0.5119) q[4], q[7];\ncrz(0.0648) q[4], q[6];\ncrz(-0.2745) q[4], q[5];\ncrz(-0.0582) q[4], q[3];\ncrz(0.0348) q[4], q[2];\ncrz(0.0149) q[4], q[1];\ncrz(0.67) q[4], q[0];\ncrz(0.003) q[3], q[9];\ncrz(0.0077) q[3], q[8];\ncrz(-0.5119) q[3], q[7];\ncrz(0.0648) q[3], q[6];\ncrz(-0.2745) q[3], q[5];\ncrz(0.053) q[3], q[4];\ncrz(0.0348) q[3], q[2];\ncrz(0.0149) q[3], q[1];\ncrz(0.67) q[3], q[0];\ncrz(0.003) q[2], q[9];\ncrz(0.0077) q[2], q[8];\ncrz(-0.5119) q[2], q[7];\ncrz(0.0648) q[2], q[6];\ncrz(-0.2745) q[2], q[5];\ncrz(0.053) q[2], q[4];\ncrz(-0.0582) q[2], q[3];\ncrz(0.0149) q[2], q[1];\ncrz(0.67) q[2], q[0];\ncrz(0.003) q[1], q[9];\ncrz(0.0077) q[1], q[8];\ncrz(-0.5119) q[1], q[7];\ncrz(0.0648) q[1], q[6];\ncrz(-0.2745) q[1], q[5];\ncrz(0.053) q[1], q[4];\ncrz(-0.0582) q[1], q[3];\ncrz(0.0348) q[1], q[2];\ncrz(0.67) q[1], q[0];\ncrz(0.003) q[0], q[9];\ncrz(0.0077) q[0], q[8];\ncrz(-0.5119) q[0], q[7];\ncrz(0.0648) q[0], q[6];\ncrz(-0.2745) q[0], q[5];\ncrz(0.053) q[0], q[4];\ncrz(-0.0582) q[0], q[3];\ncrz(0.0348) q[0], q[2];\ncrz(0.0149) q[0], q[1];\nrx(0.1967) q[0];\nrz(0.0018) q[0];\nrx(1.4823) q[1];\nrz(0.0077) q[1];\nrx(1.4812) q[2];\nrz(0.0002) q[2];\nrx(1.2504) q[3];\nrz(0.0048) q[3];\nrx(1.4984) q[4];\nrz(0.0018) q[4];\nrx(0.939) q[5];\nrz(0.0008) q[5];\nrx(1.4965) q[6];\nrz(0.0046) q[6];\nrx(0.7185) q[7];\nrz(0.0087) q[7];\nrx(1.484) q[8];\nrz(0.0005) q[8];\nrx(1.4882) q[9];\nrz(0.0067) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[9], q[8];\ncrz(x21) q[9], q[7];\ncrz(x22) q[9], q[6];\ncrz(x23) q[9], q[5];\ncrz(x24) q[9], q[4];\ncrz(x25) q[9], q[3];\ncrz(x26) q[9], q[2];\ncrz(x27) q[9], q[1];\ncrz(x28) q[9], q[0];\ncrz(x29) q[8], q[9];\ncrz(x21) q[8], q[7];\ncrz(x22) q[8], q[6];\ncrz(x23) q[8], q[5];\ncrz(x24) q[8], q[4];\ncrz(x25) q[8], q[3];\ncrz(x26) q[8], q[2];\ncrz(x27) q[8], q[1];\ncrz(x28) q[8], q[0];\ncrz(x29) q[7], q[9];\ncrz(x20) q[7], q[8];\ncrz(x22) q[7], q[6];\ncrz(x23) q[7], q[5];\ncrz(x24) q[7], q[4];\ncrz(x25) q[7], q[3];\ncrz(x26) q[7], q[2];\ncrz(x27) q[7], q[1];\ncrz(x28) q[7], q[0];\ncrz(x29) q[6], q[9];\ncrz(x20) q[6], q[8];\ncrz(x21) q[6], q[7];\ncrz(x23) q[6], q[5];\ncrz(x24) q[6], q[4];\ncrz(x25) q[6], q[3];\ncrz(x26) q[6], q[2];\ncrz(x27) q[6], q[1];\ncrz(x28) q[6], q[0];\ncrz(x29) q[5], q[9];\ncrz(x20) q[5], q[8];\ncrz(x21) q[5], q[7];\ncrz(x22) q[5], q[6];\ncrz(x24) q[5], q[4];\ncrz(x25) q[5], q[3];\ncrz(x26) q[5], q[2];\ncrz(x27) q[5], q[1];\ncrz(x28) q[5], q[0];\ncrz(x29) q[4], q[9];\ncrz(x20) q[4], q[8];\ncrz(x21) q[4], q[7];\ncrz(x22) q[4], q[6];\ncrz(x23) q[4], q[5];\ncrz(x25) q[4], q[3];\ncrz(x26) q[4], q[2];\ncrz(x27) q[4], q[1];\ncrz(x28) q[4], q[0];\ncrz(x29) q[3], q[9];\ncrz(x20) q[3], q[8];\ncrz(x21) q[3], q[7];\ncrz(x22) q[3], q[6];\ncrz(x23) q[3], q[5];\ncrz(x24) q[3], q[4];\ncrz(x26) q[3], q[2];\ncrz(x27) q[3], q[1];\ncrz(x28) q[3], q[0];\ncrz(x29) q[2], q[9];\ncrz(x20) q[2], q[8];\ncrz(x21) q[2], q[7];\ncrz(x22) q[2], q[6];\ncrz(x23) q[2], q[5];\ncrz(x24) q[2], q[4];\ncrz(x25) q[2], q[3];\ncrz(x27) q[2], q[1];\ncrz(x28) q[2], q[0];\ncrz(x29) q[1], q[9];\ncrz(x20) q[1], q[8];\ncrz(x21) q[1], q[7];\ncrz(x22) q[1], q[6];\ncrz(x23) q[1], q[5];\ncrz(x24) q[1], q[4];\ncrz(x25) q[1], q[3];\ncrz(x26) q[1], q[2];\ncrz(x28) q[1], q[0];\ncrz(x29) q[0], q[9];\ncrz(x20) q[0], q[8];\ncrz(x21) q[0], q[7];\ncrz(x22) q[0], q[6];\ncrz(x23) q[0], q[5];\ncrz(x24) q[0], q[4];\ncrz(x25) q[0], q[3];\ncrz(x26) q[0], q[2];\ncrz(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x20) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x31) q[4];\nrx(x38) q[5];\nrz(x39) q[5];\nrx(x40) q[6];\nrz(x41) q[6];\nrx(x42) q[7];\nrz(x43) q[7];\nrx(x44) q[8];\nrz(x45) q[8];\nrx(x46) q[9];\nrz(x47) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["c44dfb9664e861f7a27d6711164d42e9","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 8, \"target\": 9}]}","{\"states\": [478, 510], \"expectation_value\": -16.763075045187243, \"params\": null, \"bitstrings\": [\"000100001\", \"000000001\"], \"total_optimization_steps\": 100, \"probabilities\": [0.07038242034868242, 0.3243208951341524], \"optimization_time\": 275.0731258392334}","-3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + 1.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + 1.5 * (Z(6) @ Z(5)) + -3.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(4) @ Z(6)) + 1.0 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(5)) + -3.5 * (Z(2) @ Z(6)) + 1.0 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + -3.0 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(7) + -0.5 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-33.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -32.5, \"smallest_bitstrings\": [\"000000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[4], q[6];\ncry(1.5577) q[6], q[3];\ncry(0.2557) q[3], q[0];\ncry(0.1262) q[6], q[0];\ncry(0.0685) q[3], q[4];\nry(-0.2914) q[4];\ncry(0.2916) q[6], q[4];\nry(0.1234) q[0];\ncry(0.5875) q[5], q[0];\ncry(0.3813) q[0], q[4];\ncry(1.4434) q[0], q[5];\ncry(-0.7729) q[5], q[4];\ncry(0.9623) q[1], q[4];\ncry(1.5709) q[6], q[2];\ncry(-0.4962) q[2], q[4];\ncry(1.4976) q[3], q[7];\ncry(0.1393) q[7], q[4];\ncry(1.1765) q[8], q[4];\ncry(-1.1149) q[7], q[0];\ncry(0.0806) q[2], q[0];\ncry(1.1955) q[1], q[0];\ncry(0.4155) q[4], q[0];\ncry(1.1803) q[4], q[1];\ncry(0.3426) q[8], q[0];\ncry(-1.3693) q[3], q[6];\nry(-0.0798) q[6];\ncry(0.0247) q[7], q[6];\ncry(0.1118) q[2], q[6];\ncry(0.0592) q[5], q[6];\ncry(0.1004) q[0], q[6];\ncry(-0.0184) q[1], q[6];\ncry(1.317) q[8], q[6];\ncry(0.1414) q[4], q[5];\ncry(-0.1624) q[7], q[5];\ncry(0.1608) q[1], q[5];\nry(-0.1177) q[5];\nry(-1.3252) q[8];\ncry(-1.1341) q[4], q[3];\ncry(0.1362) q[2], q[3];\ncry(0.0955) q[7], q[3];\nry(-0.1445) q[3];\ncry(0.1643) q[1], q[3];\ncry(-0.1194) q[0], q[3];\ncry(0.1362) q[5], q[3];\ncry(1.0341) q[8], q[3];\ncry(-0.0792) q[3], q[2];\ncry(0.0162) q[5], q[2];\ncry(-0.1016) q[7], q[1];\ncry(0.1759) q[6], q[1];\nry(-0.1174) q[1];\ncry(0.1168) q[0], q[1];\ncry(0.0666) q[2], q[7];\nry(-0.0672) q[7];\ncry(-0.089) q[3], q[1];\ncry(0.0336) q[2], q[5];\ncry(-0.0839) q[3], q[5];\ncry(0.0822) q[6], q[5];\ncry(-0.4102) q[6], q[8];\ncry(0.0575) q[5], q[1];\ncry(0.0435) q[0], q[2];\ncry(-0.4642) q[8], q[2];\ncry(-0.0311) q[2], q[1];\ncry(-0.0202) q[7], q[2];\ncry(0.0381) q[4], q[2];\ncry(-0.1083) q[8], q[7];\nry(0.0073) q[2];\ncry(-0.0097) q[1], q[2];\ncry(-0.0681) q[4], q[8];\ncry(0.0949) q[7], q[8];\ncry(0.0175) q[4], q[7];\ncry(-0.0119) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"node\": 9}",{"$cut":{"chars":144412,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[4], q[6];\\ncry(1.5577) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[4], q[6];\\ncry(1.5577) q[6], q[3];\\ncry(0.2557) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[4], q[6];\\ncry(1.5577) q[6], q[3];\\ncry(0.2557) q[3], q[0];\\ncry(0.1262) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[4], q[6];\\ncry(1.5577) q[6], q[3];\\ncry(0.2557) q[3], q[0];\\ncry(0.1262) q[6], q[0];\\ncry(0.0685) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[4], q[6];\\ncry(1.5577) q[6], q[3];\\ncry(0.2557) q[3], q[0];\\ncry(0.1262) q[6], q[0];\\ncry(0.0685) q[3], q[4];\\nry(-0.2914) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[4], q[6];\\ncry(1.5577) q[6], q[3];\\ncry(0.2557) q[3], q[0];\\ncry(0.1262) q[6], q[0];\\ncry(0.0685) q[3], q[4];\\nry(-0.2914) q[4];\\ncry(0.2916) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[4], q[6];\\ncry(1.5577) q[6], q[3];\\ncry(0.2557) q[3], q[0];\\ncry(0.1262) q[6], q[0];\\ncry(0.0685) q[3], q[4];\\nry(-0.2914) q[4];\\ncry(0.2916) q[6], q[4];\\nry(0.1234) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[4], q[6];\\ncry(1.5577) q[6], q[3];\\ncry(0.2557) q[3], q[0];\\ncry(0.1262) q[6], q[0];\\ncry(0.0685) q[3], q[4];\\nry(-0.2914) q[4];\\ncry(0.2916) q[6], q[4];\\nry(0.1234) q[0];\\ncry(0.5875) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = meas"}}]
["885062aa0c1a31cf5a193f1a32bffef7","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [18, 22], \"expectation_value\": -4.671414443822666, \"params\": [-0.0064, 0.0, 0.0017000000000000001, 0.0027, 1.6729, 0.009600000000000001, 0.388, 0.0058000000000000005, 1.6709, 0.0057, 1.8031000000000001, 0.0095, -0.0013000000000000002, 0.0085, 0.007, 0.003, 0.0081, 0.004, 0.0088, 0.0058000000000000005], \"bitstrings\": [\"1101101\", \"1101001\"], \"total_optimization_steps\": 180, \"probabilities\": [0.14685478436375482, 0.17947359601250049], \"optimization_time\": 15.662875413894653}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(5) + -1.5 * Z(6)",3,7,1,"{\"smallest_eigenvalues\": [-6.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"1101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(-0.0064) q[0];\nrz(0) q[0];\nrx(0.0017) q[1];\nrz(0.0027) q[1];\nrx(1.6729) q[2];\nrz(0.0096) q[2];\nrx(0.388) q[3];\nrz(0.0058) q[3];\nrx(1.6709) q[4];\nrz(0.0057) q[4];\nrx(1.8031) q[5];\nrz(0.0095) q[5];\nrx(-0.0013) q[6];\nrz(0.0085) q[6];\ncrz(0.0058) q[6], q[5];\ncrz(0.0088) q[5], q[4];\ncrz(0.004) q[4], q[3];\ncrz(0.0081) q[3], q[2];\ncrz(0.003) q[2], q[1];\ncrz(0.007) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x7) q[6], q[5];\ncrz(x14) q[5], q[4];\ncrz(x15) q[4], q[3];\ncrz(x16) q[3], q[2];\ncrz(x17) q[2], q[1];\ncrz(x18) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["7d692558456761e29e124f5d9d91ce94","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 9}, {\"source\": 6, \"target\": 11}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 10}, {\"source\": 7, \"target\": 11}, {\"source\": 8, \"target\": 11}, {\"source\": 9, \"target\": 11}]}","{\"states\": [2045, 2047], \"expectation_value\": -1.9768483343913563, \"params\": [[0.0494], [-0.041800000000000004]], \"bitstrings\": [\"00000000010\", \"00000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0007937570429351975, 0.0008081654942330777], \"optimization_time\": 7.341762065887451}","-2.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + 1.5 * (Z(8) @ Z(6)) + -3.0 * (Z(10) @ Z(5)) + 1.5 * (Z(10) @ Z(4)) + -3.5 * (Z(10) @ Z(6)) + -3.0 * (Z(10) @ Z(8)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -2.5 * (Z(7) @ Z(10)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(7)) + 1.0 * Z(1) + -2.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(10) + 0.5 * Z(7) + 0.5 * Z(9)",1,11,1,"{\"smallest_eigenvalues\": [-40.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -38.5, \"smallest_bitstrings\": [\"00000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(-0.247) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1976) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.247) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1976) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.247) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0988) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(-0.247) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(-0.3458) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(-0.3458) q[6];\ncx q[4], q[6];\ncx q[5], q[8];\nrz(-0.247) q[8];\ncx q[5], q[8];\ncx q[4], q[8];\nrz(-0.247) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(0.1482) q[8];\ncx q[6], q[8];\ncx q[5], q[10];\nrz(-0.2964) q[10];\ncx q[5], q[10];\ncx q[4], q[10];\nrz(0.1482) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(-0.3458) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(-0.2964) q[10];\ncx q[8], q[10];\ncx q[5], q[7];\nrz(0.0988) q[7];\ncx q[5], q[7];\ncx q[4], q[7];\nrz(0.0494) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.2964) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(0.0494) q[7];\ncx q[8], q[7];\ncx q[10], q[7];\nrz(-0.247) q[7];\ncx q[10], q[7];\ncx q[5], q[9];\nrz(0.0494) q[9];\ncx q[5], q[9];\ncx q[4], q[9];\nrz(0.0494) q[9];\ncx q[4], q[9];\ncx q[6], q[9];\nrz(-0.2964) q[9];\ncx q[6], q[9];\ncx q[10], q[9];\nrz(0.0494) q[9];\ncx q[10], q[9];\ncx q[7], q[9];\nrz(0.0494) q[9];\ncx q[7], q[9];\nrz(0.0988) q[1];\nrz(-0.1976) q[0];\nrz(0.0988) q[2];\nrz(0.0988) q[3];\nrz(0.0494) q[5];\nrz(0.0494) q[4];\nrz(0.0494) q[6];\nrz(0.0494) q[8];\nrz(0.0494) q[10];\nrz(0.0494) q[7];\nrz(0.0494) q[9];\nh q[0];\nrz(-0.0836) q[0];\nh q[0];\nh q[1];\nrz(-0.0836) q[1];\nh q[1];\nh q[2];\nrz(-0.0836) q[2];\nh q[2];\nh q[3];\nrz(-0.0836) q[3];\nh q[3];\nh q[4];\nrz(-0.0836) q[4];\nh q[4];\nh q[5];\nrz(-0.0836) q[5];\nh q[5];\nh q[6];\nrz(-0.0836) q[6];\nh q[6];\nh q[7];\nrz(-0.0836) q[7];\nh q[7];\nh q[8];\nrz(-0.0836) q[8];\nh q[8];\nh q[9];\nrz(-0.0836) q[9];\nh q[9];\nh q[10];\nrz(-0.0836) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x4) q[8];\ncx q[6], q[8];\ncx q[5], q[10];\nrz(x5) q[10];\ncx q[5], q[10];\ncx q[4], q[10];\nrz(x4) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x3) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x5) q[10];\ncx q[8], q[10];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[4], q[7];\nrz(x6) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x5) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(x6) q[7];\ncx q[8], q[7];\ncx q[10], q[7];\nrz(x0) q[7];\ncx q[10], q[7];\ncx q[5], q[9];\nrz(x6) q[9];\ncx q[5], q[9];\ncx q[4], q[9];\nrz(x6) q[9];\ncx q[4], q[9];\ncx q[6], q[9];\nrz(x5) q[9];\ncx q[6], q[9];\ncx q[10], q[9];\nrz(x6) q[9];\ncx q[10], q[9];\ncx q[7], q[9];\nrz(x6) q[9];\ncx q[7], q[9];\nrz(x2) q[1];\nrz(x1) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x6) q[5];\nrz(x6) q[4];\nrz(x6) q[6];\nrz(x6) q[8];\nrz(x6) q[10];\nrz(x6) q[7];\nrz(x6) q[9];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nh q[8];\nrz(x7) q[8];\nh q[8];\nh q[9];\nrz(x7) q[9];\nh q[9];\nh q[10];\nrz(x7) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 0}","{\"circuits\": [], \"gradients\": []}"]
["4549735765706546182","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[2, 3, 4], [0, 1, 2, 4, 5], [1, 4, 7], [0, 3, 4, 5, 6, 7], [1, 2, 5, 6], [1, 2, 6, 7], [1, 3]]}","{\"states\": [186, 234], \"expectation_value\": -1.89782380272581, \"params\": null, \"bitstrings\": [\"01000101\", \"00010101\"], \"total_optimization_steps\": 46, \"probabilities\": [0.06642553632508703, 0.888621397270488], \"optimization_time\": 77.24607467651367}","0.16666666666666666 * (Z(2) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333334 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333334 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.19999999999999998 * (Z(7) @ Z(4)) + 0.03333333333333333 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.03333333333333333 * (Z(7) @ Z(5)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.11666666666666667 * (Z(6) @ Z(5)) + 0.11666666666666667 * (Z(6) @ Z(7)) + 0.2499999999999999 * Z(3) + 0.5166666666666666 * Z(2) + 0.5166666666666667 * Z(4) + 0.18333333333333335 * Z(0) + 0.5166666666666668 * Z(1) + 0.30833333333333335 * Z(5) + 0.375 * Z(7) + 0.3333333333333334 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-1.9666666666666672], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.7333333333333336, \"smallest_bitstrings\": [\"00010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4576) q[2];\nry(1.163) q[4];\ncry(-1.159) q[1], q[3];\nry(0.9002) q[1];\nry(-0.6097) q[3];\ncry(0.4676) q[2], q[1];\ncry(-0.2758) q[2], q[3];\ncry(0.3202) q[2], q[4];\ncry(-0.5387) q[1], q[7];\ncry(0.1375) q[4], q[1];\ncry(-0.3746) q[6], q[7];\nry(0.4455) q[6];\ncry(-0.3269) q[4], q[7];\ncry(0.4361) q[4], q[6];\ncry(-0.2399) q[2], q[7];\ncry(0.3043) q[2], q[6];\ncry(-0.3686) q[1], q[5];\ncry(-0.3223) q[0], q[5];\nry(0.3643) q[0];\ncry(-0.3405) q[6], q[5];\ncry(0.3871) q[4], q[0];\ncry(-0.277) q[2], q[5];\ncry(0.3146) q[2], q[0];\ncry(0.2095) q[0], q[6];\ncry(-0.1965) q[4], q[5];\ncry(0.2033) q[6], q[0];\ncry(-0.0719) q[4], q[3];\nry(-0.1451) q[7];\ncry(0.0754) q[6], q[4];\nry(-0.1058) q[5];\ncry(0.1222) q[1], q[0];\ncry(0.099) q[1], q[6];\ncry(0.043) q[6], q[1];\ncry(0.0789) q[4], q[2];\ncry(-0.0606) q[0], q[7];\ncry(-0.0203) q[6], q[3];\ncry(0.0463) q[3], q[7];\ncry(0.0187) q[6], q[2];\ncry(0.0085) q[0], q[1];\ncry(0.0225) q[3], q[6];\ncry(-0.0038) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,null,{"$cut":{"chars":39905,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nry(1.163) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nry(1.163) q[4];\\ncry(-1.159) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nry(1.163) q[4];\\ncry(-1.159) q[1], q[3];\\nry(0.9002) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nry(1.163) q[4];\\ncry(-1.159) q[1], q[3];\\nry(0.9002) q[1];\\nry(-0.6097) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nry(1.163) q[4];\\ncry(-1.159) q[1], q[3];\\nry(0.9002) q[1];\\nry(-0.6097) q[3];\\ncry(0.4676) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nry(1.163) q[4];\\ncry(-1.159) q[1], q[3];\\nry(0.9002) q[1];\\nry(-0.6097) q[3];\\ncry(0.4676) q[2], q[1];\\ncry(-0.2758) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nry(1.163) q[4];\\ncry(-1.159) q[1], q[3];\\nry(0.9002) q[1];\\nry(-0.6097) q[3];\\ncry(0.4676) q[2], q[1];\\ncry(-0.2758) q[2], q[3];\\ncry(0.3202) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nry(1.163) q[4];\\ncry(-1.159) q[1], q[3];\\nry(0.9002) q[1];\\nry(-0.6097) q[3];\\ncry(0.4676) q[2], q[1];\\ncry(-0.2758) q[2], q[3];\\ncry(0.3202) q[2], q[4];\\ncry(-0.5387) q[1], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.4576) q[2];\\nry(1.163) q[4];\\ncry(-1.159) q[1], q[3];\\nry(0.9002) q[1];\\nry(-0.6097) q[3];\\ncry(0.4676) q[2], q[1];\\ncry(-0.2758) q[2], q[3];\\ncry"}}]
["6632099811496938244","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4], \"hyperedges\": [[0, 3], [0, 2], [0, 4], [0, 1], [2, 4]]}","{\"states\": [11, 20], \"expectation_value\": -0.06020640176975853, \"params\": [[0.0746], [-0.0829]], \"bitstrings\": [\"10100\", \"01011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.033558701597877806, 0.033558701597877806], \"optimization_time\": 1.0734453201293945}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(1)",1,5,1,"{\"smallest_eigenvalues\": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -0.5, \"smallest_bitstrings\": [\"10000\", \"10001\", \"10100\", \"01111\", \"01110\", \"01011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[3], q[0];\nrz(0.0746) q[0];\ncx q[3], q[0];\ncx q[0], q[2];\nrz(0.0746) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(0.0746) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0746) q[4];\ncx q[2], q[4];\ncx q[0], q[1];\nrz(0.0746) q[1];\ncx q[0], q[1];\nrz(0) q[3];\nrz(0) q[0];\nrz(0) q[2];\nrz(0) q[4];\nrz(0) q[1];\nh q[0];\nrz(-0.1658) q[0];\nh q[0];\nh q[1];\nrz(-0.1658) q[1];\nh q[1];\nh q[2];\nrz(-0.1658) q[2];\nh q[2];\nh q[3];\nrz(-0.1658) q[3];\nh q[3];\nh q[4];\nrz(-0.1658) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\nrz(x1) q[3];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x1) q[4];\nrz(x1) q[1];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["4e25283e9474f6784f895048b0f76821","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}]}","{\"states\": [480, 483], \"expectation_value\": -8.175616610891163, \"params\": [0.2592, -0.0038, 1.6417000000000002, -0.0035, 1.2046000000000001, -0.0037, 1.6338000000000001, 0.0053, -0.0024000000000000002, 0.002, -0.0028, 0.0002, -0.0025, 0.9574, 0.20900000000000002, -0.0034000000000000002, 1.6401000000000001, 0.0094, 2.8688000000000002, 1.5637, 1.9271, 1.1548, 2.4202, 2.4088000000000003, -0.0024000000000000002, 2.8722000000000003], \"bitstrings\": [\"000011111\", \"000011100\"], \"total_optimization_steps\": 330, \"probabilities\": [0.24437546670352714, 0.2835688285081026], \"optimization_time\": 11.176393270492554}","-1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 1.5 * Z(5) + -1.5 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7)",4,9,1,"{\"smallest_eigenvalues\": [-10.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.5, \"smallest_bitstrings\": [\"000011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.2592) q[0];\nrz(-0.0038) q[0];\nrx(1.6417) q[1];\nrz(-0.0035) q[1];\nrx(1.2046) q[2];\nrz(-0.0037) q[2];\nrx(1.6338) q[3];\nrz(0.0053) q[3];\nrx(-0.0024) q[4];\nrz(0.002) q[4];\nrx(-0.0028) q[5];\nrz(0.0002) q[5];\nrx(-0.0025) q[6];\nrz(0.9574) q[6];\nrx(0.209) q[7];\nrz(-0.0034) q[7];\nrx(1.6401) q[8];\nrz(0.0094) q[8];\ncrx(2.8722) q[8], q[7];\ncrx(-0.0024) q[7], q[6];\ncrx(2.4088) q[6], q[5];\ncrx(2.4202) q[5], q[4];\ncrx(1.1548) q[4], q[3];\ncrx(1.9271) q[3], q[2];\ncrx(1.5637) q[2], q[1];\ncrx(2.8688) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrx(x18) q[8], q[7];\ncrx(x8) q[7], q[6];\ncrx(x19) q[6], q[5];\ncrx(x20) q[5], q[4];\ncrx(x21) q[4], q[3];\ncrx(x22) q[3], q[2];\ncrx(x23) q[2], q[1];\ncrx(x24) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 5}","{\"circuits\": [], \"gradients\": []}"]
["800f779aab5ac71650acd9af8d6964c8","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 5}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 6, \"target\": 5}, {\"source\": 5, \"target\": 7}]}","{\"states\": [69, 7], \"expectation_value\": -22.864627285265637, \"params\": null, \"bitstrings\": [\"10111010\", \"11111000\"], \"total_optimization_steps\": 87, \"probabilities\": [0.1081261806680195, 0.6151537257450127], \"optimization_time\": 174.19259524345398}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.75 * (Z(6) @ Z(4)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 2.75 * (Z(5) @ Z(6)) + 3.0 * (Z(7) @ Z(1)) + 3.0 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 2.75 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 2.75 * (Z(7) @ Z(5)) + -7.0 * Z(1) + -7.0 * Z(0) + -7.0 * Z(2) + -7.25 * Z(3) + -7.25 * Z(4) + -6.5 * Z(6) + -6.5 * Z(5) + -6.5 * Z(7)",7,8,2,"{\"smallest_eigenvalues\": [-24.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.5, \"smallest_bitstrings\": [\"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[3];\nry(-0.2982) q[4];\nry(-0.9561) q[0];\ncry(-1.2721) q[7], q[4];\ncry(-0.7941) q[6], q[3];\ncry(-1.5708) q[5], q[2];\nry(1.0183) q[5];\ncry(-1.5708) q[6], q[1];\nry(0.8731) q[6];\ncry(-0.6144) q[5], q[0];\nry(0.8737) q[7];\nry(-0.0735) q[2];\nry(-0.2355) q[1];\ncry(-0.4556) q[7], q[2];\ncry(-0.3669) q[5], q[4];\ncry(-0.301) q[7], q[3];\ncry(0.4708) q[5], q[7];\ncry(0.2982) q[7], q[5];\ncry(-0.2138) q[7], q[1];\ncry(-0.2177) q[6], q[4];\ncry(0.3461) q[7], q[6];\ncry(-0.1848) q[5], q[1];\ncry(-0.1796) q[6], q[2];\ncry(0.0665) q[7], q[0];\ncry(-0.1132) q[6], q[0];\ncry(0.1748) q[5], q[6];\ncry(-0.0577) q[5], q[3];\ncry(0.1562) q[6], q[5];\ncry(-0.5285) q[2], q[0];\ncry(0.1704) q[6], q[7];\ncry(-0.3521) q[1], q[3];\ncry(-0.2602) q[2], q[4];\ncry(-0.2409) q[1], q[6];\ncry(-0.1572) q[1], q[4];\ncry(0.288) q[2], q[7];\ncry(-0.3029) q[2], q[5];\ncry(-0.1961) q[4], q[3];\ncry(-0.1679) q[4], q[7];\ncry(0.2085) q[4], q[6];\ncry(0.172) q[1], q[7];\ncry(-0.0661) q[1], q[0];\ncry(-0.1056) q[4], q[1];\ncry(0.0906) q[4], q[0];\ncry(-0.0854) q[4], q[2];\ncry(0.1131) q[4], q[5];\ncry(0.0888) q[2], q[6];\ncry(-0.1061) q[2], q[1];\ncry(-0.0466) q[1], q[2];\ncry(0.0879) q[1], q[5];\ncry(0.0854) q[3], q[7];\ncry(-0.0288) q[2], q[3];\ncry(0.0802) q[3], q[1];\ncry(-0.0329) q[3], q[4];\ncry(0.0346) q[3], q[5];\ncry(-0.0285) q[3], q[2];\ncry(-0.0209) q[3], q[0];\ncry(0.0288) q[3], q[6];\ncry(-0.0278) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"k\": 5}",{"$cut":{"chars":106993,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nry(-0.2982) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[7], q[4];\\ncry(-0.7941) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[7], q[4];\\ncry(-0.7941) q[6], q[3];\\ncry(-1.5708) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[7], q[4];\\ncry(-0.7941) q[6], q[3];\\ncry(-1.5708) q[5], q[2];\\nry(1.0183) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[7], q[4];\\ncry(-0.7941) q[6], q[3];\\ncry(-1.5708) q[5], q[2];\\nry(1.0183) q[5];\\ncry(-1.5708) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[7], q[4];\\ncry(-0.7941) q[6], q[3];\\ncry(-1.5708) q[5], q[2];\\nry(1.0183) q[5];\\ncry(-1.5708) q[6], q[1];\\nry(0.8731) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[3];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[7], q[4];\\ncry(-0.7941) q[6], q[3];\\ncr"}}]
["4100956486e3cd626bf6b734439a9442","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 2, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 7}, {\"capacity\": 4, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 3}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 5, \"source\": 4, \"target\": 7}, {\"capacity\": 3, \"source\": 5, \"target\": 1}, {\"capacity\": 3, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 6, \"target\": 2}, {\"capacity\": 3, \"source\": 6, \"target\": 3}]}","{\"states\": [1, 33], \"expectation_value\": -11.997617744466629, \"params\": [[[0.0046, 1.1154], [-0.0036000000000000003, 1.1691], [0.6002000000000001, 0.9586], [0.0012000000000000001, 0.9178000000000001], [-0.0026000000000000003, 1.5122], [-0.0034000000000000002, 1.415], [0.0015, 1.5807], [-1.0221, 0.0453]], [[-0.0054, 1.7453], [0.0077, 1.7144000000000001], [0.6012000000000001, 2.0118], [-0.0061, 1.8831], [-0.0036000000000000003, 1.4263000000000001], [-0.002, 1.4733], [-0.0022, 1.3811], [-1.0243, 0.0693]], [[0.0009000000000000001, 0.0059], [-0.001, 0.0027], [-0.6008, 0.0034000000000000002], [-0.0001, 0.0094], [0.004, 0.002], [0.001, 0.002], [-0.005200000000000001, 0.0076], [-1.0232, 0.007]]], \"bitstrings\": [\"11111110\", \"11011110\"], \"total_optimization_steps\": 390, \"probabilities\": [0.496295900541411, 0.4999091915865567], \"optimization_time\": 19.831759214401245}","-1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.25 * (Z(7) @ Z(4)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + 0.25 * Z(4) + -0.25 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(7) + 3.0 * Z(2) + -1.25 * Z(6) + -0.75 * Z(3)",1,8,3,"{\"smallest_eigenvalues\": [-13.5, -13.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"11010110\", \"11011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0046) q[0];\nrz(1.1154) q[0];\nrx(-0.0036) q[1];\nrz(1.1691) q[1];\nrx(0.6002) q[2];\nrz(0.9586) q[2];\nrx(0.0012) q[3];\nrz(0.9178) q[3];\nrx(-0.0026) q[4];\nrz(1.5122) q[4];\nrx(-0.0034) q[5];\nrz(1.415) q[5];\nrx(0.0015) q[6];\nrz(1.5807) q[6];\nrx(-1.0221) q[7];\nrz(0.0453) q[7];\nrx(-0.0054) q[0];\nrz(1.7453) q[0];\nrx(0.0077) q[1];\nrz(1.7144) q[1];\nrx(0.6012) q[2];\nrz(2.0118) q[2];\nrx(-0.0061) q[3];\nrz(1.8831) q[3];\nrx(-0.0036) q[4];\nrz(1.4263) q[4];\nrx(-0.002) q[5];\nrz(1.4733) q[5];\nrx(-0.0022) q[6];\nrz(1.3811) q[6];\nrx(-1.0243) q[7];\nrz(0.0693) q[7];\nrx(0.0009) q[0];\nrz(0.0059) q[0];\nrx(-0.001) q[1];\nrz(0.0027) q[1];\nrx(-0.6008) q[2];\nrz(0.0034) q[2];\nrx(-0.0001) q[3];\nrz(0.0094) q[3];\nrx(0.004) q[4];\nrz(0.002) q[4];\nrx(0.001) q[5];\nrz(0.002) q[5];\nrx(-0.0052) q[6];\nrz(0.0076) q[6];\nrx(-1.0232) q[7];\nrz(0.007) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[0];\nrz(x17) q[0];\nrx(x18) q[1];\nrz(x19) q[1];\nrx(x20) q[2];\nrz(x21) q[2];\nrx(x22) q[3];\nrz(x23) q[3];\nrx(x2) q[4];\nrz(x24) q[4];\nrx(x25) q[5];\nrz(x26) q[5];\nrx(x27) q[6];\nrz(x28) q[6];\nrx(x29) q[7];\nrz(x30) q[7];\nrx(x31) q[0];\nrz(x32) q[0];\nrx(x33) q[1];\nrz(x34) q[1];\nrx(x35) q[2];\nrz(x36) q[2];\nrx(x37) q[3];\nrz(x38) q[3];\nrx(x39) q[4];\nrz(x40) q[4];\nrx(x41) q[5];\nrz(x40) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["7f8130041c7238405b90f5906c17ffea","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 4}, {\"weight\": 17, \"source\": 0, \"target\": 7}, {\"weight\": 19, \"source\": 0, \"target\": 11}, {\"weight\": 6, \"source\": 1, \"target\": 5}, {\"weight\": 18, \"source\": 1, \"target\": 11}, {\"weight\": 10, \"source\": 2, \"target\": 6}, {\"weight\": 19, \"source\": 2, \"target\": 11}, {\"weight\": 11, \"source\": 2, \"target\": 4}, {\"weight\": 3, \"source\": 3, \"target\": 7}]}","{\"states\": [492, 364], \"expectation_value\": -71.9441786785197, \"params\": [2.4987, 0.003, 1.5687, 0.0059, 2.5010000000000003, 0.0085, 2.5065, 0.01, -0.0018000000000000002, 0.0041, 2.4930000000000003, 0.008400000000000001, 2.4927, 0.0035, 1.4438, 0.009600000000000001, 0.0019, 0.006900000000000001, 0.0004, 0.0051, 0.0055000000000000005, 0.0034000000000000002, 0.0007, 0.0023, 0.0036000000000000003, 0.0044, 0.0059], \"bitstrings\": [\"000010011\", \"010010011\"], \"total_optimization_steps\": 250, \"probabilities\": [0.1660532920561519, 0.1667401723854649], \"optimization_time\": 19.307302951812744}","7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 9.0 * Z(1) + 15.5 * Z(2) + 23.5 * Z(0) + 16.0 * Z(3) + -4.0 * Z(4) + 12.5 * Z(6) + 5.0 * Z(7) + 23.5 * Z(5) + -5.5 * Z(8)",18,9,1,"{\"smallest_eigenvalues\": [-100.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -91.5, \"smallest_bitstrings\": [\"010010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(2.4987) q[0];\nrz(0.003) q[0];\nrx(1.5687) q[1];\nrz(0.0059) q[1];\nrx(2.501) q[2];\nrz(0.0085) q[2];\nrx(2.5065) q[3];\nrz(0.01) q[3];\nrx(-0.0018) q[4];\nrz(0.0041) q[4];\nrx(2.493) q[5];\nrz(0.0084) q[5];\nrx(2.4927) q[6];\nrz(0.0035) q[6];\nrx(1.4438) q[7];\nrz(0.0096) q[7];\nrx(0.0019) q[8];\nrz(0.0069) q[8];\ncrz(0.0004) q[8], q[0];\ncrz(0.0059) q[7], q[8];\ncrz(0.0044) q[6], q[7];\ncrz(0.0036) q[5], q[6];\ncrz(0.0023) q[4], q[5];\ncrz(0.0007) q[3], q[4];\ncrz(0.0034) q[2], q[3];\ncrz(0.0055) q[1], q[2];\ncrz(0.0051) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x3) q[7], q[8];\ncrz(x19) q[6], q[7];\ncrz(x20) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x22) q[3], q[4];\ncrz(x23) q[2], q[3];\ncrz(x24) q[1], q[2];\ncrz(x25) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}\"}","{\"circuits\": [], \"gradients\": []}"]
["-2136234981179467318","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 1, 2, 5], [0, 3, 5, 6], [0, 1, 5, 6], [1, 2, 3, 4, 5]]}","{\"states\": [87, 121], \"expectation_value\": -0.4161683949881, \"params\": [[-0.34990000000000004], [0.3612]], \"bitstrings\": [\"0101000\", \"0000110\"], \"total_optimization_steps\": 40, \"probabilities\": [0.012575908487651052, 0.012643137272156314], \"optimization_time\": 2.7496421337127686}","0.16666666666666666 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(5)) + 0.05 * (Z(4) @ Z(3)) + 0.3500000000000001 * Z(1) + 0.375 * Z(0) + 0.22499999999999995 * Z(2) + 0.475 * Z(5) + 0.22499999999999995 * Z(3) + 0.24999999999999994 * Z(6) + 0.1 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-0.9500000000000001, -0.9500000000000001, -0.9500000000000001], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -0.9499999999999998, \"smallest_bitstrings\": [\"0010101\", \"0000110\", \"0000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.1166) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0933) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0583) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(-0.1516) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.175) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0933) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(-0.035) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0583) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.035) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(-0.0933) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(-0.0583) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.1166) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(-0.1166) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(-0.0583) q[6];\ncx q[3], q[6];\ncx q[1], q[4];\nrz(-0.035) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.035) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(-0.035) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(-0.035) q[4];\ncx q[3], q[4];\nrz(-0.2449) q[1];\nrz(-0.2624) q[0];\nrz(-0.1575) q[2];\nrz(-0.3324) q[5];\nrz(-0.1575) q[3];\nrz(-0.1749) q[6];\nrz(-0.07) q[4];\nh q[0];\nrz(0.7224) q[0];\nh q[0];\nh q[1];\nrz(0.7224) q[1];\nh q[1];\nh q[2];\nrz(0.7224) q[2];\nh q[2];\nh q[3];\nrz(0.7224) q[3];\nh q[3];\nh q[4];\nrz(0.7224) q[4];\nh q[4];\nh q[5];\nrz(0.7224) q[5];\nh q[5];\nh q[6];\nrz(0.7224) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x4) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(x5) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x1) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x2) q[6];\ncx q[3], q[6];\ncx q[1], q[4];\nrz(x5) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x5) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\nrz(x6) q[1];\nrz(x7) q[0];\nrz(x8) q[2];\nrz(x9) q[5];\nrz(x8) q[3];\nrz(x10) q[6];\nrz(x11) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["ad249eb291b54b77d27166680b0a8ce6","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [750, 742], \"expectation_value\": -2.085412351102948, \"params\": [0.39680000000000004, 0.0002, 0.403, 0.0002, 0.0018000000000000002, 0.2928, 0.0041, 0.30920000000000003, 0.4062, 0.0022, 0.39930000000000004, 0.0068000000000000005, 0.3799, -0.0039000000000000003, 0.38530000000000003, -0.0034000000000000002, 0.3947, -0.0132, 0.40130000000000005, 0.0014, 0.1514, 0.1487, 0.15030000000000002, 0.14650000000000002, 0.17370000000000002, -0.10590000000000001, 0.18000000000000002, -0.1042, 0.3936, -0.0529, 0.38930000000000003, -0.0575, 0.39890000000000003, -0.0405, 0.3917, -0.0085, 0.1307, 0.1549, 0.12860000000000002, 0.1524, 0.404, 0.0002, 0.3962, 0.00030000000000000003, 0.0032, 0.3018, 0.0056, 0.3126, 0.403, 0.0025, 0.40490000000000004, 0.0079, 0.3844, -0.0026000000000000003, 0.38630000000000003, -0.0037, 0.40240000000000004, 0.013300000000000001, 0.40290000000000004, 0.0074, 0.15, 0.1471, 0.1443, 0.1449, 0.1716, -0.1075, 0.17980000000000002, -0.10840000000000001, 0.39, -0.0654, 0.3966, -0.0674, 0.39840000000000003, 0.0041, 0.391, 0.0039000000000000003, 0.1292, 0.1537, 0.1278, 0.1511, 0.4055, 0.00030000000000000003, 0.4022, 0.0071, -0.0012000000000000001, 0.23900000000000002, 0.005, 0.0071, 0.40490000000000004, 0.0032, 0.40190000000000003, 0.004, 0.38720000000000004, 0.0078000000000000005, 0.3835, 0.0038, 0.3951, 0.027100000000000003, 0.40130000000000005, 0.0044, 0.1469, 0.1427, 0.15080000000000002, 0.0018000000000000002, 0.1796, -0.10990000000000001, 0.17220000000000002, 0.0031000000000000003, 0.3961, -0.08310000000000001, 0.39030000000000004, 0.0061, 0.3961, 0.0509, 0.39690000000000003, 0.001, 0.1287, 0.1494, 0.1315, 0.0026000000000000003, -0.2901, 0.0081, 0.0047, 0.011300000000000001, -0.1389, 0.1188, -0.0936, -0.0038, -0.1467, 0.0005, -0.2872, 0.0122, 0.0026000000000000003, 0.008, 0.116, 0.1252, -0.11080000000000001, -0.0292, 0.0947, 0.0068000000000000005, -0.1221, 0.0058000000000000005, 0.0031000000000000003, 0.0086, 0.1242, 0.009600000000000001, -0.124, 0.0058000000000000005, 0.12090000000000001, 0.006500000000000001], \"bitstrings\": [\"0100010001\", \"0100011001\"], \"total_optimization_steps\": 40, \"probabilities\": [0.0672511687412468, 0.22223786931939782], \"optimization_time\": 19.734022617340088}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6) @ Z(7)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2) @ Z(6)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(9) @ Z(4)) + 0.125 * (Z(8) @ Z(7)) + 0.125 * (Z(9) @ Z(7)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(7) @ Z(4)) + -0.125 * (Z(9) @ Z(7) @ Z(4)) + -0.125 * (Z(8) @ Z(9) @ Z(4)) + -0.125 * (Z(8) @ Z(9) @ Z(7)) + 0.125 * (Z(8) @ Z(9) @ Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(9)) + 0.125 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + 0.125 * Z(3) + 0.25 * Z(4) + -0.125 * Z(5) + 0.0 * Z(6) + 0.125 * Z(7) + 0.125 * Z(8) + -0.125 * Z(9)",7,10,3,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 12, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"0100101001\", \"0100011010\", \"0100011001\", \"0100010110\", \"0110010100\", \"0111000001\", \"0100111000\", \"0101000011\", \"0101001001\", \"1100001001\", \"0100011100\", \"0101010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.3968) q[0];\nrz(0.0002) q[0];\nrx(0.0018) q[1];\nrz(0.2928) q[1];\nrx(0.4062) q[2];\nrz(0.0022) q[2];\nrx(0.3799) q[3];\nrz(-0.0039) q[3];\nrx(0.3947) q[4];\nrz(-0.0132) q[4];\nrx(0.1514) q[5];\nrz(0.1487) q[5];\nrx(0.1737) q[6];\nrz(-0.1059) q[6];\nrx(0.3936) q[7];\nrz(-0.0529) q[7];\nrx(0.3989) q[8];\nrz(-0.0405) q[8];\nrx(0.1307) q[9];\nrz(0.1549) q[9];\ncrz(-0.2901) q[1], q[0];\ncrz(0.0047) q[3], q[2];\ncrz(-0.1389) q[5], q[4];\ncrz(-0.0936) q[7], q[6];\ncrz(-0.1467) q[9], q[8];\nrx(0.403) q[0];\nrz(0.0002) q[0];\nrx(0.0041) q[1];\nrz(0.3092) q[1];\nrx(0.3993) q[2];\nrz(0.0068) q[2];\nrx(0.3853) q[3];\nrz(-0.0034) q[3];\nrx(0.4013) q[4];\nrz(0.0014) q[4];\nrx(0.1503) q[5];\nrz(0.1465) q[5];\nrx(0.18) q[6];\nrz(-0.1042) q[6];\nrx(0.3893) q[7];\nrz(-0.0575) q[7];\nrx(0.3917) q[8];\nrz(-0.0085) q[8];\nrx(0.1286) q[9];\nrz(0.1524) q[9];\ncrz(0.0081) q[2], q[1];\ncrz(0.0113) q[4], q[3];\ncrz(0.1188) q[6], q[5];\ncrz(-0.0038) q[8], q[7];\nrx(0.404) q[0];\nrz(0.0002) q[0];\nrx(0.0032) q[1];\nrz(0.3018) q[1];\nrx(0.403) q[2];\nrz(0.0025) q[2];\nrx(0.3844) q[3];\nrz(-0.0026) q[3];\nrx(0.4024) q[4];\nrz(0.0133) q[4];\nrx(0.15) q[5];\nrz(0.1471) q[5];\nrx(0.1716) q[6];\nrz(-0.1075) q[6];\nrx(0.39) q[7];\nrz(-0.0654) q[7];\nrx(0.3984) q[8];\nrz(0.0041) q[8];\nrx(0.1292) q[9];\nrz(0.1537) q[9];\ncrz(-0.2872) q[1], q[0];\ncrz(0.0026) q[3], q[2];\ncrz(0.116) q[5], q[4];\ncrz(-0.1108) q[7], q[6];\ncrz(0.0947) q[9], q[8];\nrx(0.3962) q[0];\nrz(0.0003) q[0];\nrx(0.0056) q[1];\nrz(0.3126) q[1];\nrx(0.4049) q[2];\nrz(0.0079) q[2];\nrx(0.3863) q[3];\nrz(-0.0037) q[3];\nrx(0.4029) q[4];\nrz(0.0074) q[4];\nrx(0.1443) q[5];\nrz(0.1449) q[5];\nrx(0.1798) q[6];\nrz(-0.1084) q[6];\nrx(0.3966) q[7];\nrz(-0.0674) q[7];\nrx(0.391) q[8];\nrz(0.0039) q[8];\nrx(0.1278) q[9];\nrz(0.1511) q[9];\ncrz(0.0122) q[2], q[1];\ncrz(0.008) q[4], q[3];\ncrz(0.1252) q[6], q[5];\ncrz(-0.0292) q[8], q[7];\nrx(0.4055) q[0];\nrz(0.0003) q[0];\nrx(-0.0012) q[1];\nrz(0.239) q[1];\nrx(0.4049) q[2];\nrz(0.0032) q[2];\nrx(0.3872) q[3];\nrz(0.0078) q[3];\nrx(0.3951) q[4];\nrz(0.0271) q[4];\nrx(0.1469) q[5];\nrz(0.1427) q[5];\nrx(0.1796) q[6];\nrz(-0.1099) q[6];\nrx(0.3961) q[7];\nrz(-0.0831) q[7];\nrx(0.3961) q[8];\nrz(0.0509) q[8];\nrx(0.1287) q[9];\nrz(0.1494) q[9];\ncrz(-0.1221) q[1], q[0];\ncrz(0.0031) q[3], q[2];\ncrz(0.1242) q[5], q[4];\ncrz(-0.124) q[7], q[6];\ncrz(0.1209) q[9], q[8];\nrx(0.4022) q[0];\nrz(0.0071) q[0];\nrx(0.005) q[1];\nrz(0.0071) q[1];\nrx(0.4019) q[2];\nrz(0.004) q[2];\nrx(0.3835) q[3];\nrz(0.0038) q[3];\nrx(0.4013) q[4];\nrz(0.0044) q[4];\nrx(0.1508) q[5];\nrz(0.0018) q[5];\nrx(0.1722) q[6];\nrz(0.0031) q[6];\nrx(0.3903) q[7];\nrz(0.0061) q[7];\nrx(0.3969) q[8];\nrz(0.001) q[8];\nrx(0.1315) q[9];\nrz(0.0026) q[9];\ncrz(0.0058) q[2], q[1];\ncrz(0.0086) q[4], q[3];\ncrz(0.0096) q[6], q[5];\ncrz(0.0058) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[1], q[0];\ncrz(x21) q[3], q[2];\ncrz(x22) q[5], q[4];\ncrz(x23) q[7], q[6];\ncrz(x24) q[9], q[8];\nrx(x25) q[0];\nrz(x1) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\nrx(x40) q[8];\nrz(x41) q[8];\nrx(x42) q[9];\nrz(x43) q[9];\ncrz(x44) q[2], q[1];\ncrz(x45) q[4], q[3];\ncrz(x46) q[6], q[5];\ncrz(x47) q[8], q[7];\nrx(x48) q[0];\nrz(x1) q[0];\nrx(x49) q[1];\nrz(x50) q[1];\nrx(x25) q[2];\nrz(x51) q[2];\nrx(x52) q[3];\nrz(x53) q[3];\nrx(x54) q[4];\nrz(x55) q[4];\nrx(x56) q[5];\nrz(x57) q[5];\nrx(x58) q[6];\nrz(x59) q[6];\nrx(x60) q[7];\nrz(x61) q[7];\nrx(x62) q[8];\nrz(x26) q[8];\nrx(x63) q[9];\nrz(x64) q[9];\ncrz(x65) q[1], q[0];\ncrz(x66) q[3], q[2];\ncrz(x67) q[5], q[4];\ncrz(x68) q[7], q[6];\ncrz(x69) q[9], q[8];\nrx(x70) q[0];\nrz(x71) q[0];\nrx(x72) q[1];\nrz(x73) q[1];\nrx(x74) q[2];\nrz(x75) q[2];\nrx(x76) q[3];\nrz(x77) q[3];\nrx(x78) q[4];\nrz(x79) q[4];\nrx(x80) q[5];\nrz(x81) q[5];\nrx(x82) q[6];\nrz(x83) q[6];\nrx(x84) q[7];\nrz(x85) q[7];\nrx(x86) q[8];\nrz(x87) q[8];\nrx(x88) q[9];\nrz(x89) q[9];\ncrz(x90) q[2], q[1];\ncrz(x91) q[4], q[3];\ncrz(x92) q[6], q[5];\ncrz(x93) q[8], q[7];\nrx(x94) q[0];\nrz(x71) q[0];\nrx(x95) q[1];\nrz(x96) q[1];\nrx(x74) q[2];\nrz(x49) q[2];\nrx(x97) q[3];\nrz(x98) q[3];\nrx(x99) q[4];\nrz(x100) q[4];\nrx(x101) q[5];\nrz(x102) q[5];\nrx(x103) q[6];\nrz(x104) q[6];\nrx(x105) q[7];\nrz(x106) q[7];\nrx(x105) q[8];\nrz(x107) q[8];\nrx(x108) q[9];\nrz(x109) q[9];\ncrz(x110) q[1], q[0];\ncrz(x111) q[3], q[2];\ncrz(x112) q[5], q[4];\ncrz(x113) q[7], q[6];\ncrz(x114) q[9], q[8];\nrx(x115) q[0];\nrz(x116) q[0];\nrx(x117) q[1];\nrz(x116) q[1];\nrx(x118) q[2];\nrz(x119) q[2];\nrx(x120) q[3];\nrz(x121) q[3];\nrx(x32) q[4];\nrz(x122) q[4];\nrx(x123) q[5];\nrz(x2) q[5];\nrx(x124) q[6];\nrz(x111) q[6];\nrx(x125) q[7];\nrz(x126) q[7];\nrx(x127) q[8];\nrz(x128) q[8];\nrx(x129) q[9];\nrz(x66) q[9];\ncrz(x130) q[2], q[1];\ncrz(x131) q[4], q[3];\ncrz(x132) q[6], q[5];\ncrz(x130) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["dc8ac5f82febba9dcace181eb5c76eb3","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 5}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 5, \"target\": 3}]}","{\"states\": [7, 13], \"expectation_value\": -1.421549584290907, \"params\": [[0.0512, 0.0182], [-0.0427, -0.025]], \"bitstrings\": [\"111000\", \"110010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.019167437234105755, 0.019167437234105765], \"optimization_time\": 3.1421546936035156}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * (Z(3) @ Z(5)) + -0.75 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.25 * Z(3)",18,6,2,"{\"smallest_eigenvalues\": [-7.25, -7.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.25, \"smallest_bitstrings\": [\"111000\", \"110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(0.1792) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1792) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1792) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.1792) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.1792) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.2048) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.2048) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.1792) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.2048) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.2048) q[5];\ncx q[4], q[5];\ncx q[1], q[3];\nrz(0.2048) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.2048) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2048) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.2048) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(0.1792) q[3];\ncx q[5], q[3];\nrz(-0.0768) q[1];\nrz(-0.1024) q[0];\nrz(-0.0512) q[2];\nrz(-0.0512) q[4];\nrz(-0.0512) q[5];\nrz(-0.0256) q[3];\nh q[0];\nrz(-0.0854) q[0];\nh q[0];\nh q[1];\nrz(-0.0854) q[1];\nh q[1];\nh q[2];\nrz(-0.0854) q[2];\nh q[2];\nh q[3];\nrz(-0.0854) q[3];\nh q[3];\nh q[4];\nrz(-0.0854) q[4];\nh q[4];\nh q[5];\nrz(-0.0854) q[5];\nh q[5];\ncx q[1], q[0];\nrz(0.0637) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0637) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0637) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.0637) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0637) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0728) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.0728) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0637) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.0728) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.0728) q[5];\ncx q[4], q[5];\ncx q[1], q[3];\nrz(0.0728) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0728) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0728) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.0728) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(0.0637) q[3];\ncx q[5], q[3];\nrz(-0.0273) q[1];\nrz(-0.0364) q[0];\nrz(-0.0182) q[2];\nrz(-0.0182) q[4];\nrz(-0.0182) q[5];\nrz(-0.0091) q[3];\nh q[0];\nrz(-0.05) q[0];\nh q[0];\nh q[1];\nrz(-0.05) q[1];\nh q[1];\nh q[2];\nrz(-0.05) q[2];\nh q[2];\nh q[3];\nrz(-0.05) q[3];\nh q[3];\nh q[4];\nrz(-0.05) q[4];\nh q[4];\nh q[5];\nrz(-0.05) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x4) q[2];\nrz(x4) q[4];\nrz(x4) q[5];\nrz(x5) q[3];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x7) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x7) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x7) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x8) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x7) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x8) q[5];\ncx q[4], q[5];\ncx q[1], q[3];\nrz(x8) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x8) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x8) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x7) q[3];\ncx q[5], q[3];\nrz(x9) q[1];\nrz(x10) q[0];\nrz(x11) q[2];\nrz(x11) q[4];\nrz(x11) q[5];\nrz(x12) q[3];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["9645644fcb46d75a104e4de81b9201a7","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 5, \"target\": 1}]}","{\"states\": [3, 1], \"expectation_value\": -0.4313289595228619, \"params\": [[0.0777, 0.0751], [-0.08560000000000001, -0.0809]], \"bitstrings\": [\"1111100\", \"1111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012054201577599894, 0.012656091453067685], \"optimization_time\": 2.074453830718994}","-0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5)",1,7,2,"{\"smallest_eigenvalues\": [-4.25, -4.25, -4.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -3.25, \"smallest_bitstrings\": [\"1111110\", \"1111100\", \"1010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(-0.0389) q[0];\ncx q[2], q[0];\ncx q[0], q[6];\nrz(0.0777) q[6];\ncx q[0], q[6];\ncx q[2], q[3];\nrz(-0.0777) q[3];\ncx q[2], q[3];\ncx q[3], q[1];\nrz(-0.1166) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(-0.0777) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0389) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0777) q[5];\ncx q[1], q[5];\nrz(-0.0389) q[2];\nrz(-0.0389) q[0];\nrz(0.0777) q[6];\nrz(0.1554) q[3];\nrz(-0.1166) q[1];\nrz(-0.1166) q[4];\nrz(0.0777) q[5];\nh q[0];\nrz(-0.1712) q[0];\nh q[0];\nh q[1];\nrz(-0.1712) q[1];\nh q[1];\nh q[2];\nrz(-0.1712) q[2];\nh q[2];\nh q[3];\nrz(-0.1712) q[3];\nh q[3];\nh q[4];\nrz(-0.1712) q[4];\nh q[4];\nh q[5];\nrz(-0.1712) q[5];\nh q[5];\nh q[6];\nrz(-0.1712) q[6];\nh q[6];\ncx q[2], q[0];\nrz(-0.0376) q[0];\ncx q[2], q[0];\ncx q[0], q[6];\nrz(0.0751) q[6];\ncx q[0], q[6];\ncx q[2], q[3];\nrz(-0.0751) q[3];\ncx q[2], q[3];\ncx q[3], q[1];\nrz(-0.1127) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(-0.0751) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0376) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0751) q[5];\ncx q[1], q[5];\nrz(-0.0376) q[2];\nrz(-0.0376) q[0];\nrz(0.0751) q[6];\nrz(0.1502) q[3];\nrz(-0.1127) q[1];\nrz(-0.1127) q[4];\nrz(0.0751) q[5];\nh q[0];\nrz(-0.1618) q[0];\nh q[0];\nh q[1];\nrz(-0.1618) q[1];\nh q[1];\nh q[2];\nrz(-0.1618) q[2];\nh q[2];\nh q[3];\nrz(-0.1618) q[3];\nh q[3];\nh q[4];\nrz(-0.1618) q[4];\nh q[4];\nh q[5];\nrz(-0.1618) q[5];\nh q[5];\nh q[6];\nrz(-0.1618) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[3], q[1];\nrz(x3) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\nrz(x0) q[2];\nrz(x0) q[0];\nrz(x1) q[6];\nrz(x4) q[3];\nrz(x3) q[1];\nrz(x3) q[4];\nrz(x1) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x6) q[0];\ncx q[2], q[0];\ncx q[0], q[6];\nrz(x7) q[6];\ncx q[0], q[6];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[3], q[1];\nrz(x9) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(x8) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\nrz(x6) q[2];\nrz(x6) q[0];\nrz(x7) q[6];\nrz(x10) q[3];\nrz(x9) q[1];\nrz(x9) q[4];\nrz(x7) q[5];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["2a895515d0a8eaf1b57b7d486fef5b85","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [35, 3], \"expectation_value\": -26.09477790883075, \"params\": [[[-0.0151, -0.3539], [0.4667, -0.09580000000000001], [-0.013900000000000001, -0.3539], [-0.015700000000000002, 0.3539], [-0.0159, 0.3538], [0.6955, 0.0012000000000000001], [0.7015, 0.0019]], [[-0.013300000000000001, -0.3538], [0.46540000000000004, -0.09580000000000001], [-0.0119, -0.3539], [-0.0129, 0.3533], [-0.014700000000000001, 0.3534], [0.7032, 0.0012000000000000001], [0.6928000000000001, 0.0019]], [[-0.0162, 0.0043], [0.46130000000000004, 0.004], [-0.018600000000000002, 0.0098], [-0.0165, 0.0057], [-0.0196, 0.0079], [0.6975, 0.0036000000000000003], [0.6967, 0.003]]], \"bitstrings\": [\"1011100\", \"1111100\"], \"total_optimization_steps\": 70, \"probabilities\": [0.22951674145143028, 0.3313793000023934], \"optimization_time\": 3.9922401905059814}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2.75 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + -10.0 * Z(1) + -10.25 * Z(0) + -10.25 * Z(2) + -10.25 * Z(3) + -10.25 * Z(4) + -9.5 * Z(5) + -9.5 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-30.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -28.5, \"smallest_bitstrings\": [\"1111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(-0.0151) q[0];\nrz(-0.3539) q[0];\nrx(0.4667) q[1];\nrz(-0.0958) q[1];\nrx(-0.0139) q[2];\nrz(-0.3539) q[2];\nrx(-0.0157) q[3];\nrz(0.3539) q[3];\nrx(-0.0159) q[4];\nrz(0.3538) q[4];\nrx(0.6955) q[5];\nrz(0.0012) q[5];\nrx(0.7015) q[6];\nrz(0.0019) q[6];\nrx(-0.0133) q[0];\nrz(-0.3538) q[0];\nrx(0.4654) q[1];\nrz(-0.0958) q[1];\nrx(-0.0119) q[2];\nrz(-0.3539) q[2];\nrx(-0.0129) q[3];\nrz(0.3533) q[3];\nrx(-0.0147) q[4];\nrz(0.3534) q[4];\nrx(0.7032) q[5];\nrz(0.0012) q[5];\nrx(0.6928) q[6];\nrz(0.0019) q[6];\nrx(-0.0162) q[0];\nrz(0.0043) q[0];\nrx(0.4613) q[1];\nrz(0.004) q[1];\nrx(-0.0186) q[2];\nrz(0.0098) q[2];\nrx(-0.0165) q[3];\nrz(0.0057) q[3];\nrx(-0.0196) q[4];\nrz(0.0079) q[4];\nrx(0.6975) q[5];\nrz(0.0036) q[5];\nrx(0.6967) q[6];\nrz(0.003) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x1) q[2];\nrx(x5) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[0];\nrz(x14) q[0];\nrx(x15) q[1];\nrz(x3) q[1];\nrx(x16) q[2];\nrz(x1) q[2];\nrx(x17) q[3];\nrz(x18) q[3];\nrx(x19) q[4];\nrz(x20) q[4];\nrx(x21) q[5];\nrz(x10) q[5];\nrx(x22) q[6];\nrz(x12) q[6];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["c5d57071b024d109c38c43678d62eaf1","max_flow","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 5, \"source\": 0, \"target\": 2}]}","{\"states\": [60, 56], \"expectation_value\": -9.29999589787212, \"params\": null, \"bitstrings\": [\"000011\", \"000111\"], \"total_optimization_steps\": 20, \"probabilities\": [2.81305992022024e-07, 0.9999988346985311], \"optimization_time\": 11.057173490524292}","0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-9.3], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.4, \"smallest_bitstrings\": [\"000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(0.7408) q[2];\nry(1.5695) q[1];\ncry(0.83) q[1], q[2];\nry(-1.4449) q[5];\nry(-1.5382) q[4];\ncry(1.3988) q[1], q[0];\nry(-1.3979) q[3];\ncry(-0.1252) q[2], q[5];\ncry(-0.1594) q[2], q[3];\nry(0.1585) q[0];\ncry(-0.0324) q[2], q[4];\ncry(-0.0125) q[1], q[3];\ncry(0.0124) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 2}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\ncry(-0.0125) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\ncry(-0.0125) q[1], q[3];\\ncry(0.0124) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\ncry(-0.0125) q[1], q[3];\\ncry(0.0124) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\ncry(-0.0125) q[1], q[3];\\ncry(0.0124) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\ncry(-0.0125) q[1], q[3];\\ncry(0.0124) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\ncry(-0.0125) q[1], q[3];\\ncry(0.0124) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\ncry(-0.0125) q[1], q[3];\\ncry(0.0124) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\ncry(-0.0125) q[1], q[3];\\ncry(0.0124) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(0.7408) q[2];\\nry(1.5695) q[1];\\ncry(0.83) q[1], q[2];\\nry(-1.4449) q[5];\\nry(-1.5382) q[4];\\ncry(1.3988) q[1], q[0];\\nry(-1.3979) q[3];\\ncry(-0.1252) q[2], q[5];\\ncry(-0.1594) q[2], q[3];\\nry(0.1585) q[0];\\ncry(-0.0324) q[2], q[4];\\ncry(-0.0125) q[1], q[3];\\ncry(0.0124) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [4.4933, 3.2803, 1.9847, 0.4988, 0.6979, 0.45, 0.4491, 0.1026, 0.0787, 0.0761, 0.0285, 0.007, 0.0056, 0.0054, 0.0054, 0.0036, 0.0036, 0.0032, 0.0032, 0.0024]}"]
["bbe413a0841b062dbaa665f6954396a2","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [2007, 2005], \"expectation_value\": -0.045849376930054864, \"params\": [[[1.111, -0.6903], [-0.158, 1.1081], [1.1058000000000001, 1.092], [1.0934000000000001, 1.0908], [1.1061, 0.4192], [-0.3094, 1.1003], [1.1071, 1.1034000000000002], [1.0975000000000001, 1.0942], [1.1092, 0.7524000000000001], [1.0977000000000001, 1.0956000000000001], [1.0909, -0.005200000000000001], [1.103, 1.0962]]], \"bitstrings\": [\"100000101000\", \"100000101010\"], \"total_optimization_steps\": 110, \"probabilities\": [0.031710455196469846, 0.03708706420411907], \"optimization_time\": 25.55222487449646}","0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(7)) + -0.125 * (Z(4) @ Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(4) @ Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(8)) + 0.25 * (Z(4) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(4) @ Z(8) @ Z(9)) + 0.5 * (Z(5) @ Z(10)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(11) @ Z(1)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(8) @ Z(2)) + 0.0625 * (Z(11) @ Z(2)) + 0.0625 * (Z(6) @ Z(8)) + 0.0625 * (Z(6) @ Z(11)) + 0.0625 * (Z(11) @ Z(8)) + -0.0625 * (Z(6) @ Z(1) @ Z(2)) + -0.0625 * (Z(1) @ Z(8) @ Z(2)) + -0.0625 * (Z(11) @ Z(1) @ Z(2)) + -0.0625 * (Z(6) @ Z(8) @ Z(1)) + -0.0625 * (Z(6) @ Z(11) @ Z(1)) + -0.0625 * (Z(11) @ Z(8) @ Z(1)) + -0.0625 * (Z(6) @ Z(8) @ Z(2)) + -0.0625 * (Z(6) @ Z(11) @ Z(2)) + -0.0625 * (Z(11) @ Z(8) @ Z(2)) + -0.0625 * (Z(6) @ Z(11) @ Z(8)) + 0.0625 * (Z(6) @ Z(1) @ Z(8) @ Z(2)) + 0.0625 * (Z(6) @ Z(11) @ Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(11) @ Z(8) @ Z(2)) + 0.0625 * (Z(6) @ Z(11) @ Z(8) @ Z(1)) + 0.0625 * (Z(6) @ Z(11) @ Z(8) @ Z(2)) + -0.0625 * (Z(2) @ Z(11) @ Z(1) @ Z(6) @ Z(8)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(3) @ Z(9)) + 0.0625 * (Z(3) @ Z(10)) + 0.0625 * (Z(3) @ Z(11)) + 0.0625 * (Z(7) @ Z(9)) + 0.0625 * (Z(10) @ Z(7)) + 0.0625 * (Z(7) @ Z(11)) + 0.0625 * (Z(10) @ Z(9)) + 0.0625 * (Z(11) @ Z(9)) + 0.0625 * (Z(10) @ Z(11)) + -0.0625 * (Z(3) @ Z(7) @ Z(9)) + -0.0625 * (Z(3) @ Z(10) @ Z(7)) + -0.0625 * (Z(3) @ Z(7) @ Z(11)) + -0.0625 * (Z(3) @ Z(10) @ Z(9)) + -0.0625 * (Z(3) @ Z(11) @ Z(9)) + -0.0625 * (Z(3) @ Z(10) @ Z(11)) + -0.0625 * (Z(10) @ Z(7) @ Z(9)) + -0.0625 * (Z(7) @ Z(11) @ Z(9)) + -0.0625 * (Z(10) @ Z(7) @ Z(11)) + -0.0625 * (Z(10) @ Z(11) @ Z(9)) + 0.0625 * (Z(3) @ Z(10) @ Z(7) @ Z(9)) + 0.0625 * (Z(3) @ Z(7) @ Z(11) @ Z(9)) + 0.0625 * (Z(3) @ Z(10) @ Z(7) @ Z(11)) + 0.0625 * (Z(3) @ Z(10) @ Z(11) @ Z(9)) + 0.0625 * (Z(10) @ Z(7) @ Z(11) @ Z(9)) + -0.0625 * (Z(10) @ Z(7) @ Z(11) @ Z(9) @ Z(3)) + -0.25 * Z(0) + -0.0625 * Z(1) + 0.1875 * Z(2) + 0.1875 * Z(3) + 0.125 * Z(4) + -0.125 * Z(5) + 0.3125 * Z(6) + 0.3125 * Z(7) + 0.1875 * Z(8) + 0.1875 * Z(9) + -0.0625 * Z(10) + 0.375 * Z(11)",15,12,1,"{\"smallest_eigenvalues\": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], \"number_of_smallest_eigenvalues\": 24, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"100101001000\", \"011001000100\", \"010110000010\", \"011010000010\", \"110010000010\", \"110001000100\", \"100000011010\", \"100000101010\", \"100000100110\", \"100011000001\", \"100001001001\", \"100001000101\", \"100001001010\", \"100001011000\", \"100001001100\", \"100001100100\", \"100010001010\", \"101010000010\", \"101001000100\", \"100010000011\", \"010101001000\", \"010101000100\", \"100010100010\", \"010111000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(1.111) q[0];\nry(-0.158) q[1];\nry(1.1058) q[2];\nry(1.0934) q[3];\nry(1.1061) q[4];\nry(-0.3094) q[5];\nry(1.1071) q[6];\nry(1.0975) q[7];\nry(1.1092) q[8];\nry(1.0977) q[9];\nry(1.0909) q[10];\nry(1.103) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.6903) q[0];\nry(1.1081) q[1];\nry(1.092) q[2];\nry(1.0908) q[3];\nry(0.4192) q[4];\nry(1.1003) q[5];\nry(1.1034) q[6];\nry(1.0942) q[7];\nry(0.7524) q[8];\nry(1.0956) q[9];\nry(-0.0052) q[10];\nry(1.0962) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x12) q[0];\nry(x13) q[1];\nry(x14) q[2];\nry(x15) q[3];\nry(x16) q[4];\nry(x17) q[5];\nry(x18) q[6];\nry(x19) q[7];\nry(x20) q[8];\nry(x21) q[9];\nry(x22) q[10];\nry(x23) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["264caf92706ff32b22656c6f94376f0f","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 4}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 5, \"source\": 1, \"target\": 5}, {\"weight\": 11, \"source\": 1, \"target\": 4}, {\"weight\": 20, \"source\": 1, \"target\": 8}, {\"weight\": 8, \"source\": 2, \"target\": 6}, {\"weight\": 8, \"source\": 3, \"target\": 7}, {\"weight\": 19, \"source\": 3, \"target\": 10}, {\"weight\": 15, \"source\": 3, \"target\": 5}]}","{\"states\": [470, 214], \"expectation_value\": -65.0338432939383, \"params\": [[[0.7955, 0.1174], [0.7832, 0.1295], [0.7929, 0.1514], [-0.1184, 0.19090000000000001], [0.7728, 0.2348], [0.0006000000000000001, 0.3597], [-0.07050000000000001, 0.5897], [0.1232, 0.6955], [0.388, 0.0392]], [[0.5143, 0.0009000000000000001], [0.7761, 0.0369], [0.7925000000000001, -0.0431], [-0.0286, -0.0045000000000000005], [0.7062, 0.22990000000000002], [-0.0098, 0.22490000000000002], [-0.1406, 0.7832], [0.2112, 0.538], [0.2257, 0.11750000000000001]], [[0.1847, -0.0061], [0.7917000000000001, 0.0123], [0.7895000000000001, 0.0222], [0.023700000000000002, -0.0187], [0.728, 0.2472], [0.1778, 0.2722], [0.7005, 0.49970000000000003], [0.6972, 0.128], [0.3427, 0.6135]], [[0.7568, -0.0048000000000000004], [0.795, -0.0011], [0.7899, 0.0073], [0.1038, -0.048400000000000006], [0.7889, -0.0017000000000000001], [-0.23270000000000002, 0.0335], [0.7944, 0.2657], [-0.013300000000000001, 0.7918000000000001], [0.7895000000000001, 0.6791]]], \"bitstrings\": [\"000101001\", \"100101001\"], \"total_optimization_steps\": 80, \"probabilities\": [0.31752081595511084, 0.5127673654009289], \"optimization_time\": 33.44946813583374}","6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 5.5 * Z(1) + 12.0 * Z(2) + 10.0 * Z(4) + 9.0 * Z(3) + 10.5 * Z(8) + 9.5 * Z(6) + 14.0 * Z(7) + -9.0 * Z(5)",15,9,4,"{\"smallest_eigenvalues\": [-74.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -63.5, \"smallest_bitstrings\": [\"100101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.7955) q[0];\nry(0.7832) q[1];\nry(0.7929) q[2];\nry(-0.1184) q[3];\nry(0.7728) q[4];\nry(0.0006) q[5];\nry(-0.0705) q[6];\nry(0.1232) q[7];\nry(0.388) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.1174) q[0];\nry(0.1295) q[1];\nry(0.1514) q[2];\nry(0.1909) q[3];\nry(0.2348) q[4];\nry(0.3597) q[5];\nry(0.5897) q[6];\nry(0.6955) q[7];\nry(0.0392) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.5143) q[0];\nry(0.7761) q[1];\nry(0.7925) q[2];\nry(-0.0286) q[3];\nry(0.7062) q[4];\nry(-0.0098) q[5];\nry(-0.1406) q[6];\nry(0.2112) q[7];\nry(0.2257) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0009) q[0];\nry(0.0369) q[1];\nry(-0.0431) q[2];\nry(-0.0045) q[3];\nry(0.2299) q[4];\nry(0.2249) q[5];\nry(0.7832) q[6];\nry(0.538) q[7];\nry(0.1175) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.1847) q[0];\nry(0.7917) q[1];\nry(0.7895) q[2];\nry(0.0237) q[3];\nry(0.728) q[4];\nry(0.1778) q[5];\nry(0.7005) q[6];\nry(0.6972) q[7];\nry(0.3427) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0061) q[0];\nry(0.0123) q[1];\nry(0.0222) q[2];\nry(-0.0187) q[3];\nry(0.2472) q[4];\nry(0.2722) q[5];\nry(0.4997) q[6];\nry(0.128) q[7];\nry(0.6135) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.7568) q[0];\nry(0.795) q[1];\nry(0.7899) q[2];\nry(0.1038) q[3];\nry(0.7889) q[4];\nry(-0.2327) q[5];\nry(0.7944) q[6];\nry(-0.0133) q[7];\nry(0.7895) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0048) q[0];\nry(-0.0011) q[1];\nry(0.0073) q[2];\nry(-0.0484) q[3];\nry(-0.0017) q[4];\nry(0.0335) q[5];\nry(0.2657) q[6];\nry(0.7918) q[7];\nry(0.6791) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x27) q[0];\nry(x28) q[1];\nry(x29) q[2];\nry(x30) q[3];\nry(x31) q[4];\nry(x32) q[5];\nry(x1) q[6];\nry(x33) q[7];\nry(x34) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x35) q[0];\nry(x36) q[1];\nry(x37) q[2];\nry(x38) q[3];\nry(x39) q[4];\nry(x40) q[5];\nry(x41) q[6];\nry(x42) q[7];\nry(x43) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x44) q[0];\nry(x45) q[1];\nry(x46) q[2];\nry(x47) q[3];\nry(x48) q[4];\nry(x49) q[5];\nry(x50) q[6];\nry(x51) q[7];\nry(x52) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x53) q[0];\nry(x54) q[1];\nry(x55) q[2];\nry(x56) q[3];\nry(x57) q[4];\nry(x58) q[5];\nry(x59) q[6];\nry(x60) q[7];\nry(x37) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x61) q[0];\nry(x62) q[1];\nry(x63) q[2];\nry(x64) q[3];\nry(x65) q[4];\nry(x66) q[5];\nry(x67) q[6];\nry(x68) q[7];\nry(x69) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8, 9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["c57625ce2de67c1086ad1c24582707c2","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 4}]}","{\"states\": [21, 5], \"expectation_value\": -4.249622881933726, \"params\": null, \"bitstrings\": [\"101010\", \"111010\"], \"total_optimization_steps\": 14, \"probabilities\": [0.24998087632969399, 0.24998460488181462], \"optimization_time\": 7.915950775146484}","-0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3)",1,6,2,"{\"smallest_eigenvalues\": [-4.25, -4.25, -4.25, -4.25], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.25, \"smallest_bitstrings\": [\"111110\", \"111010\", \"101010\", \"101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[5];\nry(-1.5706) q[0];\nry(-1.5706) q[2];\ncry(-1.5681) q[5], q[4];\ncry(0.0156) q[3], q[5];\ncry(0.0079) q[1], q[5];\nry(-0.0028) q[4];\ncry(-0.0002) q[5], q[0];\ncry(-0.0002) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\ncry(-0.0002) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\ncry(-0.0002) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\ncry(-0.0002) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [0.747, 1.2469, 1.2473, 0.9984, 0.0107, 0.006, 0.0052, 0.0046, 0.0044, 0.0043, 0.004, 0.003, 0.003, 0.0028]}"]
["b1983a1e4f06f774f7ec1ed4bb689b87","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [90, 88], \"expectation_value\": -4.366461774141084, \"params\": [1.6987, 0.0037, 0.6557000000000001, -0.36150000000000004, 1.6976, -0.0014, 1.7097, 0.0031000000000000003, -0.00030000000000000003, 0.008, 1.4766000000000001, 0.0059, 0.0038, 0.0043, -1.6779000000000002, -0.3447, 1.4754, -1.6351, 0.0006000000000000001, -1.5429000000000002], \"bitstrings\": [\"0100101\", \"0100111\"], \"total_optimization_steps\": 170, \"probabilities\": [0.14088101752023802, 0.17012823989595083], \"optimization_time\": 3.830667018890381}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(6) + -1.5 * Z(3) + 0.0 * Z(2) + -1.0 * Z(5)",4,7,1,"{\"smallest_eigenvalues\": [-5.5, -5.5, -5.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"1001101\", \"0101101\", \"0100111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(1.6987) q[0];\nrz(0.0037) q[0];\nrx(0.6557) q[1];\nrz(-0.3615) q[1];\nrx(1.6976) q[2];\nrz(-0.0014) q[2];\nrx(1.7097) q[3];\nrz(0.0031) q[3];\nrx(-0.0003) q[4];\nrz(0.008) q[4];\nrx(1.4766) q[5];\nrz(0.0059) q[5];\nrx(0.0038) q[6];\nrz(0.0043) q[6];\ncrx(-1.5429) q[6], q[5];\ncrx(0.0006) q[5], q[4];\ncrx(-1.6351) q[4], q[3];\ncrx(1.4754) q[3], q[2];\ncrx(-0.3447) q[2], q[1];\ncrx(-1.6779) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrx(x14) q[6], q[5];\ncrx(x15) q[5], q[4];\ncrx(x16) q[4], q[3];\ncrx(x17) q[3], q[2];\ncrx(x18) q[2], q[1];\ncrx(x19) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["74f3db266dbfc29b2e3165b97e91cad0","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 5, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 5, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 6}, {\"capacity\": 5, \"source\": 4, \"target\": 1}, {\"capacity\": 5, \"source\": 4, \"target\": 2}, {\"capacity\": 6, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 3}]}","{\"states\": [27, 11], \"expectation_value\": -2.0645750865917414, \"params\": [[-0.0424, -0.037200000000000004, -0.0357], [0.052000000000000005, 0.038400000000000004, 0.040600000000000004]], \"bitstrings\": [\"1100100\", \"1110100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.014469948472720992, 0.014531981890307747], \"optimization_time\": 3.7374494075775146}","-1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0.75 * Z(6) + 0.0 * Z(3) + 2.25 * Z(5)",1,7,3,"{\"smallest_eigenvalues\": [-13.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.0, \"smallest_bitstrings\": [\"1110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.1272) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0212) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.106) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.106) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.106) q[4];\ncx q[2], q[4];\ncx q[1], q[6];\nrz(0.0424) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.2756) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.106) q[6];\ncx q[2], q[6];\ncx q[6], q[3];\nrz(0.0636) q[3];\ncx q[6], q[3];\ncx q[2], q[5];\nrz(0.1272) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0636) q[5];\ncx q[3], q[5];\nrz(0.1908) q[1];\nrz(0.0212) q[0];\nrz(0.1484) q[2];\nrz(-0.106) q[4];\nrz(-0.0636) q[6];\nrz(0) q[3];\nrz(-0.1908) q[5];\nh q[0];\nrz(0.104) q[0];\nh q[0];\nh q[1];\nrz(0.104) q[1];\nh q[1];\nh q[2];\nrz(0.104) q[2];\nh q[2];\nh q[3];\nrz(0.104) q[3];\nh q[3];\nh q[4];\nrz(0.104) q[4];\nh q[4];\nh q[5];\nrz(0.104) q[5];\nh q[5];\nh q[6];\nrz(0.104) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.1116) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0186) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.093) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.093) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.093) q[4];\ncx q[2], q[4];\ncx q[1], q[6];\nrz(0.0372) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.2418) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.093) q[6];\ncx q[2], q[6];\ncx q[6], q[3];\nrz(0.0558) q[3];\ncx q[6], q[3];\ncx q[2], q[5];\nrz(0.1116) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0558) q[5];\ncx q[3], q[5];\nrz(0.1674) q[1];\nrz(0.0186) q[0];\nrz(0.1302) q[2];\nrz(-0.093) q[4];\nrz(-0.0558) q[6];\nrz(0) q[3];\nrz(-0.1674) q[5];\nh q[0];\nrz(0.0768) q[0];\nh q[0];\nh q[1];\nrz(0.0768) q[1];\nh q[1];\nh q[2];\nrz(0.0768) q[2];\nh q[2];\nh q[3];\nrz(0.0768) q[3];\nh q[3];\nh q[4];\nrz(0.0768) q[4];\nh q[4];\nh q[5];\nrz(0.0768) q[5];\nh q[5];\nh q[6];\nrz(0.0768) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.1071) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0179) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.0893) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0893) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0893) q[4];\ncx q[2], q[4];\ncx q[1], q[6];\nrz(0.0357) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.2321) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0893) q[6];\ncx q[2], q[6];\ncx q[6], q[3];\nrz(0.0536) q[3];\ncx q[6], q[3];\ncx q[2], q[5];\nrz(0.1071) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0536) q[5];\ncx q[3], q[5];\nrz(0.1607) q[1];\nrz(0.0179) q[0];\nrz(0.125) q[2];\nrz(-0.0893) q[4];\nrz(-0.0536) q[6];\nrz(0) q[3];\nrz(-0.1607) q[5];\nh q[0];\nrz(0.0812) q[0];\nh q[0];\nh q[1];\nrz(0.0812) q[1];\nh q[1];\nh q[2];\nrz(0.0812) q[2];\nh q[2];\nh q[3];\nrz(0.0812) q[3];\nh q[3];\nh q[4];\nrz(0.0812) q[4];\nh q[4];\nh q[5];\nrz(0.0812) q[5];\nh q[5];\nh q[6];\nrz(0.0812) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[1], q[6];\nrz(x3) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x4) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x2) q[6];\ncx q[2], q[6];\ncx q[6], q[3];\nrz(x5) q[3];\ncx q[6], q[3];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x5) q[5];\ncx q[3], q[5];\nrz(x6) q[1];\nrz(x1) q[0];\nrz(x7) q[2];\nrz(x8) q[4];\nrz(x9) q[6];\nrz(x10) q[3];\nrz(x11) q[5];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x13) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x14) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x15) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x15) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x15) q[4];\ncx q[2], q[4];\ncx q[1], q[6];\nrz(x16) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x17) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x15) q[6];\ncx q[2], q[6];\ncx q[6], q[3];\nrz(x18) q[3];\ncx q[6], q[3];\ncx q[2], q[5];\nrz(x13) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\nrz(x19) q[1];\nrz(x14) q[0];\nrz(x20) q[2];\nrz(x21) q[4];\nrz(x22) q[6];\nrz(x10) q[3];\nrz(x23) q[5];\nh q[0];\nrz(x24) q[0];\nh q[0];\nh q[1];\nrz(x24) q[1];\nh q[1];\nh q[2];\nrz(x24) q[2];\nh q[2];\nh q[3];\nrz(x24) q[3];\nh q[3];\nh q[4];\nrz(x24) q[4];\nh q[4];\nh q[5];\nrz(x24) q[5];\nh q[5];\nh q[6];\nrz(x24) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x25) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x26) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x27) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x27) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x27) q[4];\ncx q[2], q[4];\ncx q[1], q[6];\nrz(x28) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x29) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x27) q[6];\ncx q[2], q[6];\ncx q[6], q[3];\nrz(x30) q[3];\ncx q[6], q[3];\ncx q[2], q[5];\nrz(x25) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x30) q[5];\ncx q[3], q[5];\nrz(x31) q[1];\nrz(x26) q[0];\nrz(x32) q[2];\nrz(x33) q[4];\nrz(x34) q[6];\nrz(x10) q[3];\nrz(x35) q[5];\nh q[0];\nrz(x36) q[0];\nh q[0];\nh q[1];\nrz(x36) q[1];\nh q[1];\nh q[2];\nrz(x36) q[2];\nh q[2];\nh q[3];\nrz(x36) q[3];\nh q[3];\nh q[4];\nrz(x36) q[4];\nh q[4];\nh q[5];\nrz(x36) q[5];\nh q[5];\nh q[6];\nrz(x36) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["497cac3b94057e7a59788f1446d196ee","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 3}, {\"weight\": 12, \"source\": 0, \"target\": 5}, {\"weight\": 11, \"source\": 0, \"target\": 6}, {\"weight\": 1, \"source\": 1, \"target\": 4}, {\"weight\": 20, \"source\": 1, \"target\": 3}, {\"weight\": 11, \"source\": 1, \"target\": 5}, {\"weight\": 2, \"source\": 2, \"target\": 5}, {\"weight\": 14, \"source\": 2, \"target\": 4}]}","{\"states\": [86, 118], \"expectation_value\": -77.68325000625451, \"params\": [0.0708, 0.0722, 0.4908, 0.4849, 0.41090000000000004, 0.375, 0.4631, 0.46840000000000004, 0.0088, 0.012100000000000001, 0.5381, 0.5194, 0.3924, 0.35650000000000004, -0.0056, -0.0007, 0.068, 0.07300000000000001, 0.502, 0.5473, 0.3378, 0.3562, 0.49570000000000003, 0.5414, 0.013300000000000001, 0.0118, 0.5104000000000001, 0.5064000000000001, 0.41340000000000005, 0.6504, -0.0063, -0.010100000000000001, 0.0692, 0.0685, 0.5806, 0.5631, 0.3637, 0.36310000000000003, 0.5728, 0.5758, 0.0077, -0.0224, 0.5061, 0.5466, 0.6543, 0.6796, -0.0151, -0.0367, -0.1405, -0.5034000000000001, 0.4848, -0.1148, -0.18460000000000001, 0.6729, 0.4258, 0.11410000000000001, -0.2675, 0.4314, 0.4949, 0.025, 0.061200000000000004, 0.45940000000000003, -0.4515, 0.0621, -0.07680000000000001, -0.30820000000000003, 0.6386000000000001, -0.0995, -0.1203, 0.299, 0.3146, 0.15990000000000001, -0.0869, 0.1179, 0.0682, 0.32530000000000003, 0.0187, 0.1845, 0.0378, -0.0687, -0.0027, 0.1845, 0.0946, 0.0033, 0.24020000000000002, 0.0821, 0.07680000000000001, 0.0444, -0.09230000000000001, 0.0646, 0.2006, -0.15180000000000002, 0.06520000000000001, 0.1267, 0.095, 0.0824], \"bitstrings\": [\"10101001\", \"10001001\"], \"total_optimization_steps\": 70, \"probabilities\": [0.18522935483489628, 0.762232121706793], \"optimization_time\": 38.059120178222656}","6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 19.0 * Z(1) + 10.0 * Z(0) + 5.5 * Z(2) + 16.5 * Z(3) + 7.0 * Z(4) + 18.5 * Z(5) + 7.0 * Z(6) + 7.5 * Z(7)",14,8,3,"{\"smallest_eigenvalues\": [-81.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -77.0, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.0708) q[0];\nry(0.4908) q[1];\nry(0.4109) q[2];\nry(0.4631) q[3];\nry(0.0088) q[4];\nry(0.5381) q[5];\nry(0.3924) q[6];\nry(-0.0056) q[7];\ncrx(-0.1405) q[7], q[0];\ncrx(-0.4515) q[6], q[7];\ncrx(0.0612) q[5], q[6];\ncrx(0.4949) q[4], q[5];\ncrx(-0.2675) q[3], q[4];\ncrx(0.4258) q[2], q[3];\ncrx(-0.1846) q[1], q[2];\ncrx(0.4848) q[0], q[1];\nry(0.0722) q[0];\nry(0.4849) q[1];\nry(0.375) q[2];\nry(0.4684) q[3];\nry(0.0121) q[4];\nry(0.5194) q[5];\nry(0.3565) q[6];\nry(-0.0007) q[7];\ncrx(-0.5034) q[7], q[6];\ncrx(-0.1148) q[0], q[7];\ncrx(0.6729) q[0], q[1];\ncrx(0.1141) q[1], q[2];\ncrx(0.4314) q[2], q[3];\ncrx(0.025) q[3], q[4];\ncrx(0.4594) q[4], q[5];\ncrx(0.0621) q[5], q[6];\nry(0.068) q[0];\nry(0.502) q[1];\nry(0.3378) q[2];\nry(0.4957) q[3];\nry(0.0133) q[4];\nry(0.5104) q[5];\nry(0.4134) q[6];\nry(-0.0063) q[7];\ncrx(-0.0768) q[7], q[0];\ncrx(0.0378) q[6], q[7];\ncrx(0.0187) q[5], q[6];\ncrx(0.0682) q[4], q[5];\ncrx(-0.0869) q[3], q[4];\ncrx(0.3146) q[2], q[3];\ncrx(-0.1203) q[1], q[2];\ncrx(0.6386) q[0], q[1];\nry(0.073) q[0];\nry(0.5473) q[1];\nry(0.3562) q[2];\nry(0.5414) q[3];\nry(0.0118) q[4];\nry(0.5064) q[5];\nry(0.6504) q[6];\nry(-0.0101) q[7];\ncrx(-0.3082) q[7], q[6];\ncrx(-0.0995) q[0], q[7];\ncrx(0.299) q[0], q[1];\ncrx(0.1599) q[1], q[2];\ncrx(0.1179) q[2], q[3];\ncrx(0.3253) q[3], q[4];\ncrx(0.1845) q[4], q[5];\ncrx(-0.0687) q[5], q[6];\nry(0.0692) q[0];\nry(0.5806) q[1];\nry(0.3637) q[2];\nry(0.5728) q[3];\nry(0.0077) q[4];\nry(0.5061) q[5];\nry(0.6543) q[6];\nry(-0.0151) q[7];\ncrx(-0.0027) q[7], q[0];\ncrx(0.095) q[6], q[7];\ncrx(0.0652) q[5], q[6];\ncrx(0.2006) q[4], q[5];\ncrx(-0.0923) q[3], q[4];\ncrx(0.0768) q[2], q[3];\ncrx(0.2402) q[1], q[2];\ncrx(0.0946) q[0], q[1];\nry(0.0685) q[0];\nry(0.5631) q[1];\nry(0.3631) q[2];\nry(0.5758) q[3];\nry(-0.0224) q[4];\nry(0.5466) q[5];\nry(0.6796) q[6];\nry(-0.0367) q[7];\ncrx(0.1845) q[7], q[6];\ncrx(0.0033) q[0], q[7];\ncrx(0.0821) q[0], q[1];\ncrx(0.0444) q[1], q[2];\ncrx(0.0646) q[2], q[3];\ncrx(-0.1518) q[3], q[4];\ncrx(0.1267) q[4], q[5];\ncrx(0.0824) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncrx(x8) q[7], q[0];\ncrx(x9) q[6], q[7];\ncrx(x10) q[5], q[6];\ncrx(x11) q[4], q[5];\ncrx(x12) q[3], q[4];\ncrx(x13) q[2], q[3];\ncrx(x14) q[1], q[2];\ncrx(x15) q[0], q[1];\nry(x16) q[0];\nry(x17) q[1];\nry(x18) q[2];\nry(x19) q[3];\nry(x20) q[4];\nry(x21) q[5];\nry(x22) q[6];\nry(x23) q[7];\ncrx(x24) q[7], q[6];\ncrx(x25) q[0], q[7];\ncrx(x26) q[0], q[1];\ncrx(x27) q[1], q[2];\ncrx(x28) q[2], q[3];\ncrx(x29) q[3], q[4];\ncrx(x30) q[4], q[5];\ncrx(x31) q[5], q[6];\nry(x32) q[0];\nry(x33) q[1];\nry(x34) q[2];\nry(x35) q[3];\nry(x36) q[4];\nry(x37) q[5];\nry(x38) q[6];\nry(x39) q[7];\ncrx(x40) q[7], q[0];\ncrx(x41) q[6], q[7];\ncrx(x42) q[5], q[6];\ncrx(x43) q[4], q[5];\ncrx(x44) q[3], q[4];\ncrx(x45) q[2], q[3];\ncrx(x46) q[1], q[2];\ncrx(x47) q[0], q[1];\nry(x48) q[0];\nry(x49) q[1];\nry(x50) q[2];\nry(x51) q[3];\nry(x52) q[4];\nry(x53) q[5];\nry(x54) q[6];\nry(x55) q[7];\ncrx(x56) q[7], q[6];\ncrx(x57) q[0], q[7];\ncrx(x58) q[0], q[1];\ncrx(x59) q[1], q[2];\ncrx(x60) q[2], q[3];\ncrx(x61) q[3], q[4];\ncrx(x62) q[4], q[5];\ncrx(x63) q[5], q[6];\nry(x64) q[0];\nry(x65) q[1];\nry(x66) q[2];\nry(x67) q[3];\nry(x68) q[4];\nry(x69) q[5];\nry(x70) q[6];\nry(x71) q[7];\ncrx(x72) q[7], q[0];\ncrx(x73) q[6], q[7];\ncrx(x74) q[5], q[6];\ncrx(x75) q[4], q[5];\ncrx(x76) q[3], q[4];\ncrx(x77) q[2], q[3];\ncrx(x78) q[1], q[2];\ncrx(x79) q[0], q[1];\nry(x80) q[0];\nry(x81) q[1];\nry(x82) q[2];\nry(x83) q[3];\nry(x84) q[4];\nry(x85) q[5];\nry(x86) q[6];\nry(x87) q[7];\ncrx(x62) q[7], q[6];\ncrx(x88) q[0], q[7];\ncrx(x89) q[0], q[1];\ncrx(x90) q[1], q[2];\ncrx(x91) q[2], q[3];\ncrx(x92) q[3], q[4];\ncrx(x93) q[4], q[5];\ncrx(x94) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["5ed2e84a4a14a0b7f5c3856807396e61","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 8}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 3, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 8}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 1, \"source\": 7, \"target\": 4}]}","{\"states\": [55, 1], \"expectation_value\": -0.14540356768564355, \"params\": [[0.0529], [-0.044500000000000005]], \"bitstrings\": [\"111001000\", \"111111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00216806284564627, 0.0021754144624308255], \"optimization_time\": 2.194122791290283}","-0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 0.75 * (Z(8) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 0.5 * Z(8) + -1.75 * Z(5) + 0.0 * Z(7) + -1.0 * Z(4) + 0.75 * Z(3) + 0.5 * Z(6)",1,9,1,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"111111110\", \"111011110\", \"111011010\", \"111111010\", \"111001010\", \"111001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.0265) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0265) q[2];\ncx q[0], q[2];\ncx q[0], q[8];\nrz(0.0794) q[8];\ncx q[0], q[8];\ncx q[1], q[5];\nrz(-0.1323) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.1323) q[5];\ncx q[2], q[5];\ncx q[2], q[7];\nrz(-0.0265) q[7];\ncx q[2], q[7];\ncx q[8], q[4];\nrz(-0.0265) q[4];\ncx q[8], q[4];\ncx q[5], q[4];\nrz(-0.0265) q[4];\ncx q[5], q[4];\ncx q[7], q[4];\nrz(-0.0265) q[4];\ncx q[7], q[4];\ncx q[4], q[3];\nrz(-0.0794) q[3];\ncx q[4], q[3];\ncx q[4], q[6];\nrz(-0.0529) q[6];\ncx q[4], q[6];\nrz(0.0529) q[1];\nrz(-0.0265) q[0];\nrz(0.0794) q[2];\nrz(0.0529) q[8];\nrz(-0.1852) q[5];\nrz(0) q[7];\nrz(-0.1058) q[4];\nrz(0.0794) q[3];\nrz(0.0529) q[6];\nh q[0];\nrz(-0.089) q[0];\nh q[0];\nh q[1];\nrz(-0.089) q[1];\nh q[1];\nh q[2];\nrz(-0.089) q[2];\nh q[2];\nh q[3];\nrz(-0.089) q[3];\nh q[3];\nh q[4];\nrz(-0.089) q[4];\nh q[4];\nh q[5];\nrz(-0.089) q[5];\nh q[5];\nh q[6];\nrz(-0.089) q[6];\nh q[6];\nh q[7];\nrz(-0.089) q[7];\nh q[7];\nh q[8];\nrz(-0.089) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[8];\nrz(x1) q[8];\ncx q[0], q[8];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[8], q[4];\nrz(x0) q[4];\ncx q[8], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[4], q[3];\nrz(x3) q[3];\ncx q[4], q[3];\ncx q[4], q[6];\nrz(x4) q[6];\ncx q[4], q[6];\nrz(x5) q[1];\nrz(x0) q[0];\nrz(x1) q[2];\nrz(x5) q[8];\nrz(x6) q[5];\nrz(x7) q[7];\nrz(x8) q[4];\nrz(x1) q[3];\nrz(x5) q[6];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["7111857690818177387","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[4, 6], [5, 7], [0, 6], [1, 5], [2, 3], [3, 4], [2, 6]]}","{\"states\": [30, 22], \"expectation_value\": -0.3705757866621605, \"params\": [0.7013, -0.0983, 0.5934, 0.0039000000000000003, 0.7069000000000001, -0.0944, 0.6233000000000001, 0.0013000000000000002, 0.6866, -0.1017, 0.6096, 0.008, 0.7059000000000001, 0.0627, 0.7074, 0.0035, 0.6993, -0.09480000000000001, 0.6169, 0.0055000000000000005, 0.7038, 0.0752, 0.6968000000000001, 0.0015, 0.6999000000000001, 0.0654, 0.7039000000000001, 0.0061, 0.7076, 0.06670000000000001, 0.6908000000000001, 0.0038, -0.31120000000000003, -0.307, -0.2899, 0.6784, -0.3022, 0.6741, 0.6298, -0.5577], \"bitstrings\": [\"11100001\", \"11101001\"], \"total_optimization_steps\": 70, \"probabilities\": [0.04995160598174985, 0.09593826673314616], \"optimization_time\": 43.42045187950134}","0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3)",6,8,1,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"11101001\", \"00010110\", \"01010011\", \"10101100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.7013) q[0];\nrz(-0.0983) q[0];\nrx(0.7069) q[1];\nrz(-0.0944) q[1];\nrx(0.6866) q[2];\nrz(-0.1017) q[2];\nrx(0.7059) q[3];\nrz(0.0627) q[3];\nrx(0.6993) q[4];\nrz(-0.0948) q[4];\nrx(0.7038) q[5];\nrz(0.0752) q[5];\nrx(0.6999) q[6];\nrz(0.0654) q[6];\nrx(0.7076) q[7];\nrz(0.0667) q[7];\ncrx(0.6298) q[7], q[6];\ncrx(0.6741) q[7], q[5];\ncrx(-0.3022) q[7], q[4];\ncrx(0.6784) q[7], q[3];\ncrx(-0.2899) q[7], q[2];\ncrx(-0.307) q[7], q[1];\ncrx(-0.3112) q[7], q[0];\ncrx(-0.5577) q[6], q[7];\ncrx(0.6741) q[6], q[5];\ncrx(-0.3022) q[6], q[4];\ncrx(0.6784) q[6], q[3];\ncrx(-0.2899) q[6], q[2];\ncrx(-0.307) q[6], q[1];\ncrx(-0.3112) q[6], q[0];\ncrx(-0.5577) q[5], q[7];\ncrx(0.6298) q[5], q[6];\ncrx(-0.3022) q[5], q[4];\ncrx(0.6784) q[5], q[3];\ncrx(-0.2899) q[5], q[2];\ncrx(-0.307) q[5], q[1];\ncrx(-0.3112) q[5], q[0];\ncrx(-0.5577) q[4], q[7];\ncrx(0.6298) q[4], q[6];\ncrx(0.6741) q[4], q[5];\ncrx(0.6784) q[4], q[3];\ncrx(-0.2899) q[4], q[2];\ncrx(-0.307) q[4], q[1];\ncrx(-0.3112) q[4], q[0];\ncrx(-0.5577) q[3], q[7];\ncrx(0.6298) q[3], q[6];\ncrx(0.6741) q[3], q[5];\ncrx(-0.3022) q[3], q[4];\ncrx(-0.2899) q[3], q[2];\ncrx(-0.307) q[3], q[1];\ncrx(-0.3112) q[3], q[0];\ncrx(-0.5577) q[2], q[7];\ncrx(0.6298) q[2], q[6];\ncrx(0.6741) q[2], q[5];\ncrx(-0.3022) q[2], q[4];\ncrx(0.6784) q[2], q[3];\ncrx(-0.307) q[2], q[1];\ncrx(-0.3112) q[2], q[0];\ncrx(-0.5577) q[1], q[7];\ncrx(0.6298) q[1], q[6];\ncrx(0.6741) q[1], q[5];\ncrx(-0.3022) q[1], q[4];\ncrx(0.6784) q[1], q[3];\ncrx(-0.2899) q[1], q[2];\ncrx(-0.3112) q[1], q[0];\ncrx(-0.5577) q[0], q[7];\ncrx(0.6298) q[0], q[6];\ncrx(0.6741) q[0], q[5];\ncrx(-0.3022) q[0], q[4];\ncrx(0.6784) q[0], q[3];\ncrx(-0.2899) q[0], q[2];\ncrx(-0.307) q[0], q[1];\nrx(0.5934) q[0];\nrz(0.0039) q[0];\nrx(0.6233) q[1];\nrz(0.0013) q[1];\nrx(0.6096) q[2];\nrz(0.008) q[2];\nrx(0.7074) q[3];\nrz(0.0035) q[3];\nrx(0.6169) q[4];\nrz(0.0055) q[4];\nrx(0.6968) q[5];\nrz(0.0015) q[5];\nrx(0.7039) q[6];\nrz(0.0061) q[6];\nrx(0.6908) q[7];\nrz(0.0038) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[7], q[5];\ncrx(x18) q[7], q[4];\ncrx(x19) q[7], q[3];\ncrx(x20) q[7], q[2];\ncrx(x21) q[7], q[1];\ncrx(x22) q[7], q[0];\ncrx(x23) q[6], q[7];\ncrx(x17) q[6], q[5];\ncrx(x18) q[6], q[4];\ncrx(x19) q[6], q[3];\ncrx(x20) q[6], q[2];\ncrx(x21) q[6], q[1];\ncrx(x22) q[6], q[0];\ncrx(x23) q[5], q[7];\ncrx(x16) q[5], q[6];\ncrx(x18) q[5], q[4];\ncrx(x19) q[5], q[3];\ncrx(x20) q[5], q[2];\ncrx(x21) q[5], q[1];\ncrx(x22) q[5], q[0];\ncrx(x23) q[4], q[7];\ncrx(x16) q[4], q[6];\ncrx(x17) q[4], q[5];\ncrx(x19) q[4], q[3];\ncrx(x20) q[4], q[2];\ncrx(x21) q[4], q[1];\ncrx(x22) q[4], q[0];\ncrx(x23) q[3], q[7];\ncrx(x16) q[3], q[6];\ncrx(x17) q[3], q[5];\ncrx(x18) q[3], q[4];\ncrx(x20) q[3], q[2];\ncrx(x21) q[3], q[1];\ncrx(x22) q[3], q[0];\ncrx(x23) q[2], q[7];\ncrx(x16) q[2], q[6];\ncrx(x17) q[2], q[5];\ncrx(x18) q[2], q[4];\ncrx(x19) q[2], q[3];\ncrx(x21) q[2], q[1];\ncrx(x22) q[2], q[0];\ncrx(x23) q[1], q[7];\ncrx(x16) q[1], q[6];\ncrx(x17) q[1], q[5];\ncrx(x18) q[1], q[4];\ncrx(x19) q[1], q[3];\ncrx(x20) q[1], q[2];\ncrx(x22) q[1], q[0];\ncrx(x23) q[0], q[7];\ncrx(x16) q[0], q[6];\ncrx(x17) q[0], q[5];\ncrx(x18) q[0], q[4];\ncrx(x19) q[0], q[3];\ncrx(x20) q[0], q[2];\ncrx(x21) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["6abfcea40fcfb2aee6e60541a981751a","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 6, \"target\": 2}, {\"capacity\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [91, 127], \"expectation_value\": -0.15949914248788505, \"params\": [[-0.052000000000000005, -0.0663, -0.040600000000000004], [0.052500000000000005, 0.0731, 0.0629]], \"bitstrings\": [\"10100100\", \"10000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005319196789174339, 0.0054850079475398435], \"optimization_time\": 3.1872665882110596}","0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4)",1,8,3,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"10000000\", \"10100100\", \"10000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[0];\nrz(-0.026) q[0];\ncx q[7], q[0];\ncx q[7], q[6];\nrz(0.026) q[6];\ncx q[7], q[6];\ncx q[6], q[1];\nrz(0.052) q[1];\ncx q[6], q[1];\ncx q[6], q[2];\nrz(0.026) q[2];\ncx q[6], q[2];\ncx q[2], q[5];\nrz(0.026) q[5];\ncx q[2], q[5];\ncx q[6], q[3];\nrz(0.026) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(0.026) q[4];\ncx q[6], q[4];\nrz(0) q[7];\nrz(0.026) q[0];\nrz(0.052) q[6];\nrz(-0.052) q[1];\nrz(0) q[2];\nrz(0.026) q[5];\nrz(-0.026) q[3];\nrz(-0.026) q[4];\nh q[0];\nrz(0.105) q[0];\nh q[0];\nh q[1];\nrz(0.105) q[1];\nh q[1];\nh q[2];\nrz(0.105) q[2];\nh q[2];\nh q[3];\nrz(0.105) q[3];\nh q[3];\nh q[4];\nrz(0.105) q[4];\nh q[4];\nh q[5];\nrz(0.105) q[5];\nh q[5];\nh q[6];\nrz(0.105) q[6];\nh q[6];\nh q[7];\nrz(0.105) q[7];\nh q[7];\ncx q[7], q[0];\nrz(-0.0331) q[0];\ncx q[7], q[0];\ncx q[7], q[6];\nrz(0.0331) q[6];\ncx q[7], q[6];\ncx q[6], q[1];\nrz(0.0663) q[1];\ncx q[6], q[1];\ncx q[6], q[2];\nrz(0.0331) q[2];\ncx q[6], q[2];\ncx q[2], q[5];\nrz(0.0331) q[5];\ncx q[2], q[5];\ncx q[6], q[3];\nrz(0.0331) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(0.0331) q[4];\ncx q[6], q[4];\nrz(0) q[7];\nrz(0.0331) q[0];\nrz(0.0663) q[6];\nrz(-0.0663) q[1];\nrz(0) q[2];\nrz(0.0331) q[5];\nrz(-0.0331) q[3];\nrz(-0.0331) q[4];\nh q[0];\nrz(0.1462) q[0];\nh q[0];\nh q[1];\nrz(0.1462) q[1];\nh q[1];\nh q[2];\nrz(0.1462) q[2];\nh q[2];\nh q[3];\nrz(0.1462) q[3];\nh q[3];\nh q[4];\nrz(0.1462) q[4];\nh q[4];\nh q[5];\nrz(0.1462) q[5];\nh q[5];\nh q[6];\nrz(0.1462) q[6];\nh q[6];\nh q[7];\nrz(0.1462) q[7];\nh q[7];\ncx q[7], q[0];\nrz(-0.0203) q[0];\ncx q[7], q[0];\ncx q[7], q[6];\nrz(0.0203) q[6];\ncx q[7], q[6];\ncx q[6], q[1];\nrz(0.0406) q[1];\ncx q[6], q[1];\ncx q[6], q[2];\nrz(0.0203) q[2];\ncx q[6], q[2];\ncx q[2], q[5];\nrz(0.0203) q[5];\ncx q[2], q[5];\ncx q[6], q[3];\nrz(0.0203) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(0.0203) q[4];\ncx q[6], q[4];\nrz(0) q[7];\nrz(0.0203) q[0];\nrz(0.0406) q[6];\nrz(-0.0406) q[1];\nrz(0) q[2];\nrz(0.0203) q[5];\nrz(-0.0203) q[3];\nrz(-0.0203) q[4];\nh q[0];\nrz(0.1258) q[0];\nh q[0];\nh q[1];\nrz(0.1258) q[1];\nh q[1];\nh q[2];\nrz(0.1258) q[2];\nh q[2];\nh q[3];\nrz(0.1258) q[3];\nh q[3];\nh q[4];\nrz(0.1258) q[4];\nh q[4];\nh q[5];\nrz(0.1258) q[5];\nh q[5];\nh q[6];\nrz(0.1258) q[6];\nh q[6];\nh q[7];\nrz(0.1258) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[0];\nrz(x0) q[0];\ncx q[7], q[0];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[6], q[1];\nrz(x2) q[1];\ncx q[6], q[1];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\nrz(x3) q[7];\nrz(x1) q[0];\nrz(x2) q[6];\nrz(x4) q[1];\nrz(x3) q[2];\nrz(x1) q[5];\nrz(x0) q[3];\nrz(x0) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\ncx q[7], q[0];\nrz(x6) q[0];\ncx q[7], q[0];\ncx q[7], q[6];\nrz(x7) q[6];\ncx q[7], q[6];\ncx q[6], q[1];\nrz(x8) q[1];\ncx q[6], q[1];\ncx q[6], q[2];\nrz(x7) q[2];\ncx q[6], q[2];\ncx q[2], q[5];\nrz(x7) q[5];\ncx q[2], q[5];\ncx q[6], q[3];\nrz(x7) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x7) q[4];\ncx q[6], q[4];\nrz(x3) q[7];\nrz(x7) q[0];\nrz(x8) q[6];\nrz(x9) q[1];\nrz(x3) q[2];\nrz(x7) q[5];\nrz(x6) q[3];\nrz(x6) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\ncx q[7], q[0];\nrz(x11) q[0];\ncx q[7], q[0];\ncx q[7], q[6];\nrz(x12) q[6];\ncx q[7], q[6];\ncx q[6], q[1];\nrz(x13) q[1];\ncx q[6], q[1];\ncx q[6], q[2];\nrz(x12) q[2];\ncx q[6], q[2];\ncx q[2], q[5];\nrz(x12) q[5];\ncx q[2], q[5];\ncx q[6], q[3];\nrz(x12) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x12) q[4];\ncx q[6], q[4];\nrz(x3) q[7];\nrz(x12) q[0];\nrz(x13) q[6];\nrz(x14) q[1];\nrz(x3) q[2];\nrz(x12) q[5];\nrz(x11) q[3];\nrz(x11) q[4];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["2516a2390c15857d60c9b0fe40f23a00","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 2}]}","{\"states\": [9, 11], \"expectation_value\": -5.749999999986026, \"params\": null, \"bitstrings\": [\"10110\", \"10100\"], \"total_optimization_steps\": 17, \"probabilities\": [0.49999999999767164, 0.49999999999767164], \"optimization_time\": 8.602064847946167}","-1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4)",1,5,4,"{\"smallest_eigenvalues\": [-5.75, -5.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.75, \"smallest_bitstrings\": [\"10100\", \"10110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5706) q[1];\nry(-1.5706) q[2];\nry(-1.5708) q[0];\nry(1.5708) q[4];\ncry(-0.0002) q[4], q[2];\ncry(0.0002) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"source\": 0, \"sink\": 4}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\ncry(-0.0002) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\ncry(-0.0002) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\ncry(-0.0002) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\ncry(-0.0002) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\ncry(-0.0002) q[4], q[2];\\ncry(0.0002) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.5706) q[1];\\nry(-1.5706) q[2];\\nry(-1.5708) q[0];\\nry(1.5708) q[4];\\ncry(-0.0002) q[4], q[2];\\ncry(0.0002) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.2531, 1.238, 1.7553, 1.5, 0.0123, 0.0088, 0.0088, 0.0058, 0.0058, 0.0052, 0.0053, 0.0043, 0.004, 0.0038, 0.0035, 0.0031, 0.0023]}"]
["024eb4eb919bdf65c57ab94cec1f06e3","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [21, 13], \"expectation_value\": -4.996464097828663, \"params\": null, \"bitstrings\": [\"1101010\", \"1110010\"], \"total_optimization_steps\": 27, \"probabilities\": [0.06634871027555574, 0.9303659638118487], \"optimization_time\": 24.843940258026123}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-5.0, -5.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1101010\", \"1110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nry(-1.5681) q[0];\nry(-1.5681) q[5];\nry(1.4449) q[6];\nry(1.4449) q[4];\ncry(-1.0343) q[3], q[2];\nry(0.7003) q[3];\nry(-0.4549) q[2];\ncry(0.4963) q[6], q[3];\ncry(-0.3789) q[6], q[2];\ncry(0.2489) q[4], q[3];\ncry(-0.1488) q[4], q[2];\ncry(0.118) q[6], q[4];\ncry(0.1156) q[4], q[6];\ncry(-0.0027) q[6], q[5];\ncry(-0.0027) q[6], q[0];\ncry(-0.0227) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\ncry(-0.0227) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\ncry(-0.0227) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\ncry(-0.0227) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\ncry(-0.0227) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\ncry(-0.0227) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\ncry(-0.0227) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\ncry(-0.0227) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.5681) q[5];\\nry(1.4449) q[6];\\nry(1.4449) q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[6], q[3];\\ncry(-0.3789) q[6], q[2];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[2];\\ncry(0.118) q[6], q[4];\\ncry(0.1156) q[4], q[6];\\ncry(-0.0027) q[6], q[5];\\ncry(-0.0027) q[6], q[0];\\ncry(-0.0227) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.511, 1.0067, 1.0047, 0.5002, 0.5, 0.2509, 0.2452, 0.1886, 0.2237, 0.1883, 0.1273, 0.0785, 0.0612, 0.0601, 0.0089, 0.0085, 0.0063, 0.006, 0.006, 0.0049, 0.0047, 0.0045, 0.0045, 0.0045, 0.0031, 0.0031, 0.003]}"]
["156005634721495645","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[1, 2, 4, 5, 10], [8, 1, 3, 6], [0, 1, 3, 4, 5, 6, 11], [10, 5, 6, 7], [1, 3, 5, 6, 9, 11], [0, 8, 6, 7], [0, 3, 6, 10, 11], [1, 10, 6, 7], [2, 4, 5, 6, 9, 10, 11], [0, 1, 7, 8, 9, 10], [8, 2], [0, 9, 3], [8, 9, 6], [8, 9, 11, 7], [0, 2, 5, 9, 10, 11], [0, 1, 4, 9, 10], [1, 3, 4, 9, 10, 11], [0, 2, 4, 5, 6, 7, 9], [0, 1, 2, 6, 11], [8, 5], [9, 2, 3, 6], [0, 1, 2, 3, 4, 5, 11], [8, 9, 11, 4]]}","{\"states\": [3829, 3701], \"expectation_value\": -5.146572820206634, \"params\": [1.5637, 1.5717, 1.5713000000000001, 1.5658, 1.5707, 1.5764, 0.0024000000000000002, 0.0024000000000000002, 2.3324000000000003, 2.3842000000000003, 1.5717, 1.5753000000000001, 1.6121, 1.5251000000000001, 1.9287, 1.208, -0.0027, -0.0027, 1.3415000000000001, 1.7958, 0.0024000000000000002, 0.0024000000000000002, 1.5545, 1.5832000000000002, 0.0022, 0.0059, 0.0032, 0.0073, 0.0023, 0.0085, -0.0023, 0.004200000000000001, 1.727, 0.0044, -0.0017000000000000001, 0.0048000000000000004, -0.0024000000000000002, 0.001, 0.0023, 0.0013000000000000002, -0.0023, 0.0074, -1.7533, 0.005200000000000001, 0.0023, 0.009600000000000001, -1.6863000000000001, 0.0017000000000000001], \"bitstrings\": [\"000100001010\", \"000110001010\"], \"total_optimization_steps\": 310, \"probabilities\": [0.4978773067289885, 0.5020520767684452], \"optimization_time\": 16.154083013534546}","0.12380952380952381 * (Z(1) @ Z(2)) + 0.12142857142857143 * (Z(4) @ Z(2)) + 0.18095238095238095 * (Z(4) @ Z(1)) + 0.15476190476190477 * (Z(5) @ Z(2)) + 0.13095238095238096 * (Z(5) @ Z(1)) + 0.14523809523809522 * (Z(5) @ Z(4)) + 0.10714285714285715 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(1)) + 0.15714285714285714 * (Z(10) @ Z(4)) + 0.19047619047619047 * (Z(10) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.11666666666666667 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.03333333333333333 * (Z(8) @ Z(10)) + 0.10714285714285714 * (Z(3) @ Z(2)) + 0.1976190476190476 * (Z(3) @ Z(1)) + 0.08095238095238094 * (Z(3) @ Z(4)) + 0.08095238095238094 * (Z(3) @ Z(5)) + 0.08333333333333334 * (Z(3) @ Z(10)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.18095238095238095 * (Z(6) @ Z(2)) + 0.2738095238095238 * (Z(6) @ Z(1)) + 0.07142857142857142 * (Z(6) @ Z(4)) + 0.1880952380952381 * (Z(6) @ Z(5)) + 0.24047619047619048 * (Z(6) @ Z(10)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.2738095238095238 * (Z(6) @ Z(3)) + 0.13095238095238096 * (Z(0) @ Z(2)) + 0.18095238095238095 * (Z(0) @ Z(1)) + 0.12142857142857143 * (Z(0) @ Z(4)) + 0.10476190476190475 * (Z(0) @ Z(5)) + 0.16666666666666669 * (Z(0) @ Z(10)) + 0.11666666666666667 * (Z(0) @ Z(8)) + 0.26428571428571423 * (Z(0) @ Z(3)) + 0.23095238095238096 * (Z(0) @ Z(6)) + 0.13095238095238096 * (Z(11) @ Z(2)) + 0.16428571428571428 * (Z(11) @ Z(1)) + 0.1880952380952381 * (Z(11) @ Z(4)) + 0.13809523809523808 * (Z(11) @ Z(5)) + 0.14047619047619048 * (Z(11) @ Z(10)) + 0.16666666666666666 * (Z(11) @ Z(8)) + 0.16428571428571428 * (Z(11) @ Z(3)) + 0.18095238095238098 * (Z(11) @ Z(6)) + 0.18095238095238095 * (Z(11) @ Z(0)) + 0.023809523809523808 * (Z(7) @ Z(2)) + 0.11666666666666667 * (Z(7) @ Z(1)) + 0.023809523809523808 * (Z(7) @ Z(4)) + 0.10714285714285714 * (Z(7) @ Z(5)) + 0.19999999999999998 * (Z(7) @ Z(10)) + 0.2 * (Z(7) @ Z(8)) + 0.27380952380952384 * (Z(7) @ Z(6)) + 0.14047619047619048 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(11)) + 0.16428571428571426 * (Z(9) @ Z(2)) + 0.15 * (Z(9) @ Z(1)) + 0.2142857142857143 * (Z(9) @ Z(4)) + 0.11428571428571428 * (Z(9) @ Z(5)) + 0.1738095238095238 * (Z(9) @ Z(10)) + 0.36666666666666664 * (Z(9) @ Z(8)) + 0.31666666666666665 * (Z(9) @ Z(3)) + 0.33095238095238094 * (Z(9) @ Z(6)) + 0.30714285714285716 * (Z(9) @ Z(0)) + 0.29047619047619044 * (Z(9) @ Z(11)) + 0.14047619047619048 * (Z(9) @ Z(7)) + 0.6226190476190476 * Z(2) + 0.9428571428571428 * Z(1) + 0.694047619047619 * Z(4) + 0.6773809523809524 * Z(5) + 0.8714285714285713 * Z(10) + 0.7500000000000004 * Z(8) + 0.8261904761904761 * Z(3) + 1.2892857142857146 * Z(6) + 0.9726190476190477 * Z(0) + 0.914285714285714 * Z(11) + 0.6547619047619049 * Z(7) + 1.2845238095238092 * Z(9)",13,12,1,"{\"smallest_eigenvalues\": [-5.197619047619047], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.095238095238094, \"smallest_bitstrings\": [\"000110001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(1.5637) q[0];\nry(1.5713) q[1];\nry(1.5707) q[2];\nry(0.0024) q[3];\nry(2.3324) q[4];\nry(1.5717) q[5];\nry(1.6121) q[6];\nry(1.9287) q[7];\nry(-0.0027) q[8];\nry(1.3415) q[9];\nry(0.0024) q[10];\nry(1.5545) q[11];\ncrz(0.0022) q[11], q[0];\ncrz(-1.6863) q[10], q[11];\ncrz(0.0023) q[9], q[10];\ncrz(-1.7533) q[8], q[9];\ncrz(-0.0023) q[7], q[8];\ncrz(0.0023) q[6], q[7];\ncrz(-0.0024) q[5], q[6];\ncrz(-0.0017) q[4], q[5];\ncrz(1.727) q[3], q[4];\ncrz(-0.0023) q[2], q[3];\ncrz(0.0023) q[1], q[2];\ncrz(0.0032) q[0], q[1];\nry(1.5717) q[0];\nry(1.5658) q[1];\nry(1.5764) q[2];\nry(0.0024) q[3];\nry(2.3842) q[4];\nry(1.5753) q[5];\nry(1.5251) q[6];\nry(1.208) q[7];\nry(-0.0027) q[8];\nry(1.7958) q[9];\nry(0.0024) q[10];\nry(1.5832) q[11];\ncrz(0.0059) q[11], q[10];\ncrz(0.0073) q[0], q[11];\ncrz(0.0085) q[0], q[1];\ncrz(0.0042) q[1], q[2];\ncrz(0.0044) q[2], q[3];\ncrz(0.0048) q[3], q[4];\ncrz(0.001) q[4], q[5];\ncrz(0.0013) q[5], q[6];\ncrz(0.0074) q[6], q[7];\ncrz(0.0052) q[7], q[8];\ncrz(0.0096) q[8], q[9];\ncrz(0.0017) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x3) q[10];\nry(x10) q[11];\ncrz(x11) q[11], q[0];\ncrz(x12) q[10], q[11];\ncrz(x13) q[9], q[10];\ncrz(x14) q[8], q[9];\ncrz(x15) q[7], q[8];\ncrz(x13) q[6], q[7];\ncrz(x16) q[5], q[6];\ncrz(x17) q[4], q[5];\ncrz(x18) q[3], q[4];\ncrz(x15) q[2], q[3];\ncrz(x13) q[1], q[2];\ncrz(x19) q[0], q[1];\nry(x5) q[0];\nry(x20) q[1];\nry(x21) q[2];\nry(x3) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x8) q[8];\nry(x26) q[9];\nry(x3) q[10];\nry(x27) q[11];\ncrz(x28) q[11], q[10];\ncrz(x29) q[0], q[11];\ncrz(x30) q[0], q[1];\ncrz(x31) q[1], q[2];\ncrz(x32) q[2], q[3];\ncrz(x33) q[3], q[4];\ncrz(x34) q[4], q[5];\ncrz(x35) q[5], q[6];\ncrz(x36) q[6], q[7];\ncrz(x37) q[7], q[8];\ncrz(x38) q[8], q[9];\ncrz(x39) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["d6b13898a43ef6a3b972400025136a82","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [20, 28], \"expectation_value\": -2.445224652906528, \"params\": [[[-0.0025, 0.0077], [1.4937, 0.0022], [-0.0023, 0.008], [1.6992, 0.0077], [1.6301, 0.0008], [1.6545, 0.0017000000000000001], [1.4766000000000001, 0.0017000000000000001], [-0.0022, 0.0053]]], \"bitstrings\": [\"11101011\", \"11100011\"], \"total_optimization_steps\": 170, \"probabilities\": [0.04234279022155332, 0.04767901436689579], \"optimization_time\": 3.9286839962005615}","0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(6)) + -0.125 * (Z(0) @ Z(4) @ Z(6)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3) @ Z(4) @ Z(6)) + -0.625 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + 0.125 * Z(3) + -0.125 * Z(4) + -0.125 * Z(6) + -0.5 * Z(5) + -1.0 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-3.875, -3.875, -3.875, -3.875], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.875, \"smallest_bitstrings\": [\"11100011\", \"11100101\", \"10101011\", \"10101101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-0.0025) q[0];\nrz(0.0077) q[0];\nrx(1.4937) q[1];\nrz(0.0022) q[1];\nrx(-0.0023) q[2];\nrz(0.008) q[2];\nrx(1.6992) q[3];\nrz(0.0077) q[3];\nrx(1.6301) q[4];\nrz(0.0008) q[4];\nrx(1.6545) q[5];\nrz(0.0017) q[5];\nrx(1.4766) q[6];\nrz(0.0017) q[6];\nrx(-0.0022) q[7];\nrz(0.0053) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x1) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x10) q[6];\nrx(x12) q[7];\nrz(x13) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["fb6267fe9e00f958431b621d7db08da1","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 4}]}","{\"states\": [11, 1], \"expectation_value\": -4.752857727781846, \"params\": null, \"bitstrings\": [\"1110100\", \"1111110\"], \"total_optimization_steps\": 20, \"probabilities\": [0.06683590605431504, 0.9171841330013739], \"optimization_time\": 15.763132095336914}","-0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[1];\nry(1.4449) q[6];\ncry(-1.5481) q[6], q[0];\ncry(1.0357) q[3], q[5];\nry(-0.9388) q[5];\nry(-0.969) q[3];\ncry(-0.8995) q[6], q[5];\nry(-1.5606) q[4];\ncry(-0.5227) q[6], q[3];\nry(-1.4153) q[2];\ncry(-0.1444) q[6], q[2];\nry(-0.022) q[0];\ncry(0.0534) q[5], q[6];\ncry(-0.0101) q[6], q[4];\ncry(-0.0027) q[6], q[1];\ncry(0.021) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\ncry(0.021) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\ncry(0.021) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\ncry(0.021) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\ncry(0.021) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [0.9935, 0.4977, 0.7461, 0.2526, 0.3693, 0.5223, 0.6723, 0.849, 0.5801, 0.4665, 0.0724, 0.0222, 0.0125, 0.0098, 0.009, 0.0049, 0.0048, 0.0039, 0.0035, 0.0025]}"]
["875e5740880a0d262105a74a2ea75384","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [169, 41], \"expectation_value\": -2.87705514334499, \"params\": [[[0.7256, 0.040400000000000005], [0.0024000000000000002, 0.6781], [0.9109, 0.0011], [-0.0028, 0.6577000000000001], [0.8472000000000001, 0.0021000000000000003], [-0.0019, 0.6731], [-0.0022, 0.655], [0.9105000000000001, -0.0011]], [[0.7231000000000001, 0.0037], [0.0024000000000000002, 0.0077], [0.9098, 0.0051], [-0.0028, 0.0056], [0.8480000000000001, 0.0051], [-0.0019, 0.0047], [-0.0022, 0.0005], [0.9044000000000001, 0.009000000000000001]]], \"bitstrings\": [\"01010110\", \"11010110\"], \"total_optimization_steps\": 90, \"probabilities\": [0.09551365579534243, 0.1220991438566513], \"optimization_time\": 4.8178887367248535}","0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(7) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(2)) + -0.125 * (Z(7) @ Z(4) @ Z(2)) + -0.125 * (Z(7) @ Z(5) @ Z(2)) + -0.125 * (Z(7) @ Z(4) @ Z(5)) + 0.125 * (Z(7) @ Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(3) @ Z(6)) + -0.25 * Z(0) + 0.125 * Z(2) + -0.75 * Z(1) + -0.75 * Z(3) + -0.125 * Z(4) + -0.625 * Z(5) + -0.75 * Z(6) + 0.125 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-4.125, -4.125], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.125, \"smallest_bitstrings\": [\"11010110\", \"01011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.7256) q[0];\nrz(0.0404) q[0];\nrx(0.0024) q[1];\nrz(0.6781) q[1];\nrx(0.9109) q[2];\nrz(0.0011) q[2];\nrx(-0.0028) q[3];\nrz(0.6577) q[3];\nrx(0.8472) q[4];\nrz(0.0021) q[4];\nrx(-0.0019) q[5];\nrz(0.6731) q[5];\nrx(-0.0022) q[6];\nrz(0.655) q[6];\nrx(0.9105) q[7];\nrz(-0.0011) q[7];\nrx(0.7231) q[0];\nrz(0.0037) q[0];\nrx(0.0024) q[1];\nrz(0.0077) q[1];\nrx(0.9098) q[2];\nrz(0.0051) q[2];\nrx(-0.0028) q[3];\nrz(0.0056) q[3];\nrx(0.848) q[4];\nrz(0.0051) q[4];\nrx(-0.0019) q[5];\nrz(0.0047) q[5];\nrx(-0.0022) q[6];\nrz(0.0005) q[6];\nrx(0.9044) q[7];\nrz(0.009) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[0];\nrz(x17) q[0];\nrx(x2) q[1];\nrz(x18) q[1];\nrx(x19) q[2];\nrz(x20) q[2];\nrx(x6) q[3];\nrz(x21) q[3];\nrx(x22) q[4];\nrz(x20) q[4];\nrx(x10) q[5];\nrz(x23) q[5];\nrx(x12) q[6];\nrz(x24) q[6];\nrx(x25) q[7];\nrz(x26) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["08ccbe9af4c3c33685bd44f9c4699a2c","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 17, \"source\": 1, \"target\": 4}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 20, \"source\": 3, \"target\": 9}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 12, \"source\": 4, \"target\": 8}, {\"weight\": 20, \"source\": 4, \"target\": 7}, {\"weight\": 6, \"source\": 6, \"target\": 7}, {\"weight\": 16, \"source\": 6, \"target\": 8}, {\"weight\": 8, \"source\": 8, \"target\": 9}]}","{\"states\": [347, 346], \"expectation_value\": -86.67247402549407, \"params\": [0.0006000000000000001, -0.3899, 0.0038, -0.4033, 0.7017, 0.0658, 0.7027, 0.046400000000000004, 0.0845, 0.3119, 0.0887, 0.3047, 0.6954, 0.0434, 0.7004, 0.0743, 0.3442, -0.1932, 0.3447, -0.199, 0.7036, 0.0954, 0.7023, 0.0614, 0.6954, 0.11370000000000001, 0.6965, 0.12010000000000001, 0.2756, -0.1917, 0.268, -0.2026, 0.7010000000000001, 0.0868, 0.7023, 0.092, 0.45430000000000004, -0.1584, 0.4556, -0.1651, -0.0012000000000000001, -0.3592, 0.0035, 0.0032, 0.7003, 0.07490000000000001, 0.7030000000000001, 0.0019, 0.0859, 0.3064, 0.08900000000000001, 0.002, 0.7023, 0.055, 0.6999000000000001, 0.0061, 0.3397, -0.1955, 0.34240000000000004, 0.0032, 0.6970000000000001, 0.12990000000000002, 0.7030000000000001, 0.0018000000000000002, 0.6944, 0.16570000000000001, 0.6992, 0.0013000000000000002, 0.2756, -0.2054, 0.2751, 0.0045000000000000005, 0.6957, 0.1648, 0.6976, 0.008700000000000001, 0.462, -0.15990000000000001, 0.462, 0.0061, 0.14600000000000002, 0.13140000000000002, 0.21200000000000002, 0.16690000000000002, -0.1764, 0.09860000000000001, 0.091, -0.08850000000000001, 0.1287, -0.112, 0.1032, -0.019700000000000002, 0.2614, -0.024200000000000003, -0.2054, -0.0427, -0.09580000000000001, -0.21280000000000002, -0.0752, -0.1806], \"bitstrings\": [\"1010100100\", \"1010100101\"], \"total_optimization_steps\": 70, \"probabilities\": [0.2542895291767395, 0.2963376846674484], \"optimization_time\": 139.919771194458}","5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 19.5 * Z(1) + -4.0 * Z(0) + 10.0 * Z(3) + -0.5 * Z(2) + 7.5 * Z(4) + 21.0 * Z(5) + 22.5 * Z(6) + 3.0 * Z(7) + 13.5 * Z(8) + 9.5 * Z(9)",5,10,2,"{\"smallest_eigenvalues\": [-104.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -92.0, \"smallest_bitstrings\": [\"1010100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.0006) q[0];\nrz(-0.3899) q[0];\nrx(0.7017) q[1];\nrz(0.0658) q[1];\nrx(0.0845) q[2];\nrz(0.3119) q[2];\nrx(0.6954) q[3];\nrz(0.0434) q[3];\nrx(0.3442) q[4];\nrz(-0.1932) q[4];\nrx(0.7036) q[5];\nrz(0.0954) q[5];\nrx(0.6954) q[6];\nrz(0.1137) q[6];\nrx(0.2756) q[7];\nrz(-0.1917) q[7];\nrx(0.701) q[8];\nrz(0.0868) q[8];\nrx(0.4543) q[9];\nrz(-0.1584) q[9];\ncrz(0.1287) q[9], q[8];\ncrz(-0.0885) q[9], q[7];\ncrz(0.091) q[9], q[6];\ncrz(0.0986) q[9], q[5];\ncrz(-0.1764) q[9], q[4];\ncrz(0.1669) q[9], q[3];\ncrz(0.212) q[9], q[2];\ncrz(0.1314) q[9], q[1];\ncrz(0.146) q[9], q[0];\ncrz(-0.112) q[8], q[9];\ncrz(-0.0885) q[8], q[7];\ncrz(0.091) q[8], q[6];\ncrz(0.0986) q[8], q[5];\ncrz(-0.1764) q[8], q[4];\ncrz(0.1669) q[8], q[3];\ncrz(0.212) q[8], q[2];\ncrz(0.1314) q[8], q[1];\ncrz(0.146) q[8], q[0];\ncrz(-0.112) q[7], q[9];\ncrz(0.1287) q[7], q[8];\ncrz(0.091) q[7], q[6];\ncrz(0.0986) q[7], q[5];\ncrz(-0.1764) q[7], q[4];\ncrz(0.1669) q[7], q[3];\ncrz(0.212) q[7], q[2];\ncrz(0.1314) q[7], q[1];\ncrz(0.146) q[7], q[0];\ncrz(-0.112) q[6], q[9];\ncrz(0.1287) q[6], q[8];\ncrz(-0.0885) q[6], q[7];\ncrz(0.0986) q[6], q[5];\ncrz(-0.1764) q[6], q[4];\ncrz(0.1669) q[6], q[3];\ncrz(0.212) q[6], q[2];\ncrz(0.1314) q[6], q[1];\ncrz(0.146) q[6], q[0];\ncrz(-0.112) q[5], q[9];\ncrz(0.1287) q[5], q[8];\ncrz(-0.0885) q[5], q[7];\ncrz(0.091) q[5], q[6];\ncrz(-0.1764) q[5], q[4];\ncrz(0.1669) q[5], q[3];\ncrz(0.212) q[5], q[2];\ncrz(0.1314) q[5], q[1];\ncrz(0.146) q[5], q[0];\ncrz(-0.112) q[4], q[9];\ncrz(0.1287) q[4], q[8];\ncrz(-0.0885) q[4], q[7];\ncrz(0.091) q[4], q[6];\ncrz(0.0986) q[4], q[5];\ncrz(0.1669) q[4], q[3];\ncrz(0.212) q[4], q[2];\ncrz(0.1314) q[4], q[1];\ncrz(0.146) q[4], q[0];\ncrz(-0.112) q[3], q[9];\ncrz(0.1287) q[3], q[8];\ncrz(-0.0885) q[3], q[7];\ncrz(0.091) q[3], q[6];\ncrz(0.0986) q[3], q[5];\ncrz(-0.1764) q[3], q[4];\ncrz(0.212) q[3], q[2];\ncrz(0.1314) q[3], q[1];\ncrz(0.146) q[3], q[0];\ncrz(-0.112) q[2], q[9];\ncrz(0.1287) q[2], q[8];\ncrz(-0.0885) q[2], q[7];\ncrz(0.091) q[2], q[6];\ncrz(0.0986) q[2], q[5];\ncrz(-0.1764) q[2], q[4];\ncrz(0.1669) q[2], q[3];\ncrz(0.1314) q[2], q[1];\ncrz(0.146) q[2], q[0];\ncrz(-0.112) q[1], q[9];\ncrz(0.1287) q[1], q[8];\ncrz(-0.0885) q[1], q[7];\ncrz(0.091) q[1], q[6];\ncrz(0.0986) q[1], q[5];\ncrz(-0.1764) q[1], q[4];\ncrz(0.1669) q[1], q[3];\ncrz(0.212) q[1], q[2];\ncrz(0.146) q[1], q[0];\ncrz(-0.112) q[0], q[9];\ncrz(0.1287) q[0], q[8];\ncrz(-0.0885) q[0], q[7];\ncrz(0.091) q[0], q[6];\ncrz(0.0986) q[0], q[5];\ncrz(-0.1764) q[0], q[4];\ncrz(0.1669) q[0], q[3];\ncrz(0.212) q[0], q[2];\ncrz(0.1314) q[0], q[1];\nrx(0.0038) q[0];\nrz(-0.4033) q[0];\nrx(0.7027) q[1];\nrz(0.0464) q[1];\nrx(0.0887) q[2];\nrz(0.3047) q[2];\nrx(0.7004) q[3];\nrz(0.0743) q[3];\nrx(0.3447) q[4];\nrz(-0.199) q[4];\nrx(0.7023) q[5];\nrz(0.0614) q[5];\nrx(0.6965) q[6];\nrz(0.1201) q[6];\nrx(0.268) q[7];\nrz(-0.2026) q[7];\nrx(0.7023) q[8];\nrz(0.092) q[8];\nrx(0.4556) q[9];\nrz(-0.1651) q[9];\nrx(-0.0012) q[0];\nrz(-0.3592) q[0];\nrx(0.7003) q[1];\nrz(0.0749) q[1];\nrx(0.0859) q[2];\nrz(0.3064) q[2];\nrx(0.7023) q[3];\nrz(0.055) q[3];\nrx(0.3397) q[4];\nrz(-0.1955) q[4];\nrx(0.697) q[5];\nrz(0.1299) q[5];\nrx(0.6944) q[6];\nrz(0.1657) q[6];\nrx(0.2756) q[7];\nrz(-0.2054) q[7];\nrx(0.6957) q[8];\nrz(0.1648) q[8];\nrx(0.462) q[9];\nrz(-0.1599) q[9];\ncrz(-0.0752) q[9], q[8];\ncrz(-0.2128) q[9], q[7];\ncrz(-0.0958) q[9], q[6];\ncrz(-0.0427) q[9], q[5];\ncrz(-0.2054) q[9], q[4];\ncrz(-0.0242) q[9], q[3];\ncrz(0.2614) q[9], q[2];\ncrz(-0.0197) q[9], q[1];\ncrz(0.1032) q[9], q[0];\ncrz(-0.1806) q[8], q[9];\ncrz(-0.2128) q[8], q[7];\ncrz(-0.0958) q[8], q[6];\ncrz(-0.0427) q[8], q[5];\ncrz(-0.2054) q[8], q[4];\ncrz(-0.0242) q[8], q[3];\ncrz(0.2614) q[8], q[2];\ncrz(-0.0197) q[8], q[1];\ncrz(0.1032) q[8], q[0];\ncrz(-0.1806) q[7], q[9];\ncrz(-0.0752) q[7], q[8];\ncrz(-0.0958) q[7], q[6];\ncrz(-0.0427) q[7], q[5];\ncrz(-0.2054) q[7], q[4];\ncrz(-0.0242) q[7], q[3];\ncrz(0.2614) q[7], q[2];\ncrz(-0.0197) q[7], q[1];\ncrz(0.1032) q[7], q[0];\ncrz(-0.1806) q[6], q[9];\ncrz(-0.0752) q[6], q[8];\ncrz(-0.2128) q[6], q[7];\ncrz(-0.0427) q[6], q[5];\ncrz(-0.2054) q[6], q[4];\ncrz(-0.0242) q[6], q[3];\ncrz(0.2614) q[6], q[2];\ncrz(-0.0197) q[6], q[1];\ncrz(0.1032) q[6], q[0];\ncrz(-0.1806) q[5], q[9];\ncrz(-0.0752) q[5], q[8];\ncrz(-0.2128) q[5], q[7];\ncrz(-0.0958) q[5], q[6];\ncrz(-0.2054) q[5], q[4];\ncrz(-0.0242) q[5], q[3];\ncrz(0.2614) q[5], q[2];\ncrz(-0.0197) q[5], q[1];\ncrz(0.1032) q[5], q[0];\ncrz(-0.1806) q[4], q[9];\ncrz(-0.0752) q[4], q[8];\ncrz(-0.2128) q[4], q[7];\ncrz(-0.0958) q[4], q[6];\ncrz(-0.0427) q[4], q[5];\ncrz(-0.0242) q[4], q[3];\ncrz(0.2614) q[4], q[2];\ncrz(-0.0197) q[4], q[1];\ncrz(0.1032) q[4], q[0];\ncrz(-0.1806) q[3], q[9];\ncrz(-0.0752) q[3], q[8];\ncrz(-0.2128) q[3], q[7];\ncrz(-0.0958) q[3], q[6];\ncrz(-0.0427) q[3], q[5];\ncrz(-0.2054) q[3], q[4];\ncrz(0.2614) q[3], q[2];\ncrz(-0.0197) q[3], q[1];\ncrz(0.1032) q[3], q[0];\ncrz(-0.1806) q[2], q[9];\ncrz(-0.0752) q[2], q[8];\ncrz(-0.2128) q[2], q[7];\ncrz(-0.0958) q[2], q[6];\ncrz(-0.0427) q[2], q[5];\ncrz(-0.2054) q[2], q[4];\ncrz(-0.0242) q[2], q[3];\ncrz(-0.0197) q[2], q[1];\ncrz(0.1032) q[2], q[0];\ncrz(-0.1806) q[1], q[9];\ncrz(-0.0752) q[1], q[8];\ncrz(-0.2128) q[1], q[7];\ncrz(-0.0958) q[1], q[6];\ncrz(-0.0427) q[1], q[5];\ncrz(-0.2054) q[1], q[4];\ncrz(-0.0242) q[1], q[3];\ncrz(0.2614) q[1], q[2];\ncrz(0.1032) q[1], q[0];\ncrz(-0.1806) q[0], q[9];\ncrz(-0.0752) q[0], q[8];\ncrz(-0.2128) q[0], q[7];\ncrz(-0.0958) q[0], q[6];\ncrz(-0.0427) q[0], q[5];\ncrz(-0.2054) q[0], q[4];\ncrz(-0.0242) q[0], q[3];\ncrz(0.2614) q[0], q[2];\ncrz(-0.0197) q[0], q[1];\nrx(0.0035) q[0];\nrz(0.0032) q[0];\nrx(0.703) q[1];\nrz(0.0019) q[1];\nrx(0.089) q[2];\nrz(0.002) q[2];\nrx(0.6999) q[3];\nrz(0.0061) q[3];\nrx(0.3424) q[4];\nrz(0.0032) q[4];\nrx(0.703) q[5];\nrz(0.0018) q[5];\nrx(0.6992) q[6];\nrz(0.0013) q[6];\nrx(0.2751) q[7];\nrz(0.0045) q[7];\nrx(0.6976) q[8];\nrz(0.0087) q[8];\nrx(0.462) q[9];\nrz(0.0061) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x6) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrz(x19) q[9], q[8];\ncrz(x20) q[9], q[7];\ncrz(x21) q[9], q[6];\ncrz(x22) q[9], q[5];\ncrz(x23) q[9], q[4];\ncrz(x24) q[9], q[3];\ncrz(x25) q[9], q[2];\ncrz(x26) q[9], q[1];\ncrz(x27) q[9], q[0];\ncrz(x28) q[8], q[9];\ncrz(x20) q[8], q[7];\ncrz(x21) q[8], q[6];\ncrz(x22) q[8], q[5];\ncrz(x23) q[8], q[4];\ncrz(x24) q[8], q[3];\ncrz(x25) q[8], q[2];\ncrz(x26) q[8], q[1];\ncrz(x27) q[8], q[0];\ncrz(x28) q[7], q[9];\ncrz(x19) q[7], q[8];\ncrz(x21) q[7], q[6];\ncrz(x22) q[7], q[5];\ncrz(x23) q[7], q[4];\ncrz(x24) q[7], q[3];\ncrz(x25) q[7], q[2];\ncrz(x26) q[7], q[1];\ncrz(x27) q[7], q[0];\ncrz(x28) q[6], q[9];\ncrz(x19) q[6], q[8];\ncrz(x20) q[6], q[7];\ncrz(x22) q[6], q[5];\ncrz(x23) q[6], q[4];\ncrz(x24) q[6], q[3];\ncrz(x25) q[6], q[2];\ncrz(x26) q[6], q[1];\ncrz(x27) q[6], q[0];\ncrz(x28) q[5], q[9];\ncrz(x19) q[5], q[8];\ncrz(x20) q[5], q[7];\ncrz(x21) q[5], q[6];\ncrz(x23) q[5], q[4];\ncrz(x24) q[5], q[3];\ncrz(x25) q[5], q[2];\ncrz(x26) q[5], q[1];\ncrz(x27) q[5], q[0];\ncrz(x28) q[4], q[9];\ncrz(x19) q[4], q[8];\ncrz(x20) q[4], q[7];\ncrz(x21) q[4], q[6];\ncrz(x22) q[4], q[5];\ncrz(x24) q[4], q[3];\ncrz(x25) q[4], q[2];\ncrz(x26) q[4], q[1];\ncrz(x27) q[4], q[0];\ncrz(x28) q[3], q[9];\ncrz(x19) q[3], q[8];\ncrz(x20) q[3], q[7];\ncrz(x21) q[3], q[6];\ncrz(x22) q[3], q[5];\ncrz(x23) q[3], q[4];\ncrz(x25) q[3], q[2];\ncrz(x26) q[3], q[1];\ncrz(x27) q[3], q[0];\ncrz(x28) q[2], q[9];\ncrz(x19) q[2], q[8];\ncrz(x20) q[2], q[7];\ncrz(x21) q[2], q[6];\ncrz(x22) q[2], q[5];\ncrz(x23) q[2], q[4];\ncrz(x24) q[2], q[3];\ncrz(x26) q[2], q[1];\ncrz(x27) q[2], q[0];\ncrz(x28) q[1], q[9];\ncrz(x19) q[1], q[8];\ncrz(x20) q[1], q[7];\ncrz(x21) q[1], q[6];\ncrz(x22) q[1], q[5];\ncrz(x23) q[1], q[4];\ncrz(x24) q[1], q[3];\ncrz(x25) q[1], q[2];\ncrz(x27) q[1], q[0];\ncrz(x28) q[0], q[9];\ncrz(x19) q[0], q[8];\ncrz(x20) q[0], q[7];\ncrz(x21) q[0], q[6];\ncrz(x22) q[0], q[5];\ncrz(x23) q[0], q[4];\ncrz(x24) q[0], q[3];\ncrz(x25) q[0], q[2];\ncrz(x26) q[0], q[1];\nrx(x29) q[0];\nrz(x30) q[0];\nrx(x31) q[1];\nrz(x32) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x39) q[8];\nrz(x45) q[8];\nrx(x46) q[9];\nrz(x47) q[9];\nrx(x48) q[0];\nrz(x49) q[0];\nrx(x50) q[1];\nrz(x51) q[1];\nrx(x52) q[2];\nrz(x53) q[2];\nrx(x39) q[3];\nrz(x54) q[3];\nrx(x55) q[4];\nrz(x56) q[4];\nrx(x57) q[5];\nrz(x58) q[5];\nrx(x59) q[6];\nrz(x60) q[6];\nrx(x13) q[7];\nrz(x61) q[7];\nrx(x62) q[8];\nrz(x63) q[8];\nrx(x64) q[9];\nrz(x65) q[9];\ncrz(x66) q[9], q[8];\ncrz(x67) q[9], q[7];\ncrz(x68) q[9], q[6];\ncrz(x69) q[9], q[5];\ncrz(x61) q[9], q[4];\ncrz(x70) q[9], q[3];\ncrz(x71) q[9], q[2];\ncrz(x72) q[9], q[1];\ncrz(x73) q[9], q[0];\ncrz(x74) q[8], q[9];\ncrz(x67) q[8], q[7];\ncrz(x68) q[8], q[6];\ncrz(x69) q[8], q[5];\ncrz(x61) q[8], q[4];\ncrz(x70) q[8], q[3];\ncrz(x71) q[8], q[2];\ncrz(x72) q[8], q[1];\ncrz(x73) q[8], q[0];\ncrz(x74) q[7], q[9];\ncrz(x66) q[7], q[8];\ncrz(x68) q[7], q[6];\ncrz(x69) q[7], q[5];\ncrz(x61) q[7], q[4];\ncrz(x70) q[7], q[3];\ncrz(x71) q[7], q[2];\ncrz(x72) q[7], q[1];\ncrz(x73) q[7], q[0];\ncrz(x74) q[6], q[9];\ncrz(x66) q[6], q[8];\ncrz(x67) q[6], q[7];\ncrz(x69) q[6], q[5];\ncrz(x61) q[6], q[4];\ncrz(x70) q[6], q[3];\ncrz(x71) q[6], q[2];\ncrz(x72) q[6], q[1];\ncrz(x73) q[6], q[0];\ncrz(x74) q[5], q[9];\ncrz(x66) q[5], q[8];\ncrz(x67) q[5], q[7];\ncrz(x68) q[5], q[6];\ncrz(x61) q[5], q[4];\ncrz(x70) q[5], q[3];\ncrz(x71) q[5], q[2];\ncrz(x72) q[5], q[1];\ncrz(x73) q[5], q[0];\ncrz(x74) q[4], q[9];\ncrz(x66) q[4], q[8];\ncrz(x67) q[4], q[7];\ncrz(x68) q[4], q[6];\ncrz(x69) q[4], q[5];\ncrz(x70) q[4], q[3];\ncrz(x71) q[4], q[2];\ncrz(x72) q[4], q[1];\ncrz(x73) q[4], q[0];\ncrz(x74) q[3], q[9];\ncrz(x66) q[3], q[8];\ncrz(x67) q[3], q[7];\ncrz(x68) q[3], q[6];\ncrz(x69) q[3], q[5];\ncrz(x61) q[3], q[4];\ncrz(x71) q[3], q[2];\ncrz(x72) q[3], q[1];\ncrz(x73) q[3], q[0];\ncrz(x74) q[2], q[9];\ncrz(x66) q[2], q[8];\ncrz(x67) q[2], q[7];\ncrz(x68) q[2], q[6];\ncrz(x69) q[2], q[5];\ncrz(x61) q[2], q[4];\ncrz(x70) q[2], q[3];\ncrz(x72) q[2], q[1];\ncrz(x73) q[2], q[0];\ncrz(x74) q[1], q[9];\ncrz(x66) q[1], q[8];\ncrz(x67) q[1], q[7];\ncrz(x68) q[1], q[6];\ncrz(x69) q[1], q[5];\ncrz(x61) q[1], q[4];\ncrz(x70) q[1], q[3];\ncrz(x71) q[1], q[2];\ncrz(x73) q[1], q[0];\ncrz(x74) q[0], q[9];\ncrz(x66) q[0], q[8];\ncrz(x67) q[0], q[7];\ncrz(x68) q[0], q[6];\ncrz(x69) q[0], q[5];\ncrz(x61) q[0], q[4];\ncrz(x70) q[0], q[3];\ncrz(x71) q[0], q[2];\ncrz(x72) q[0], q[1];\nrx(x75) q[0];\nrz(x76) q[0];\nrx(x77) q[1];\nrz(x78) q[1];\nrx(x79) q[2];\nrz(x80) q[2];\nrx(x81) q[3];\nrz(x82) q[3];\nrx(x83) q[4];\nrz(x76) q[4];\nrx(x77) q[5];\nrz(x84) q[5];\nrx(x85) q[6];\nrz(x86) q[6];\nrx(x87) q[7];\nrz(x88) q[7];\nrx(x89) q[8];\nrz(x90) q[8];\nrx(x64) q[9];\nrz(x82) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 10}\"}","{\"circuits\": [], \"gradients\": []}"]
["97aa58ef0b431934bfaa14698e7612e3","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [57, 29], \"expectation_value\": -4.499899063456086, \"params\": null, \"bitstrings\": [\"000110\", \"100010\"], \"total_optimization_steps\": 27, \"probabilities\": [1.6414457491183143e-05, 0.9999303761353588], \"optimization_time\": 20.77677321434021}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nry(-1.4449) q[0];\nry(1.4449) q[5];\nry(1.4449) q[2];\nry(1.4417) q[1];\nry(1.4417) q[3];\ncry(-0.1259) q[3], q[0];\ncry(0.1217) q[5], q[1];\ncry(0.1216) q[1], q[3];\ncry(0.1188) q[1], q[2];\ncry(0.1186) q[2], q[5];\ncry(-0.0005) q[5], q[0];\ncry(0.0074) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\ncry(0.0074) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [2.0097, 0.5025, 0.5007, 0.5005, 0.4961, 0.4958, 0.1931, 0.0627, 0.0628, 0.0613, 0.0612, 0.0176, 0.014, 0.014, 0.0105, 0.0105, 0.0075, 0.007, 0.007, 0.006, 0.0053, 0.0045, 0.0035, 0.0035, 0.003, 0.003, 0.0029]}"]
["7d8b3d8ceec2d81b644dfcbc98592f50","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [445, 382], \"expectation_value\": -0.07213043978187716, \"params\": [[-0.0763], [0.0777]], \"bitstrings\": [\"1001000010\", \"1010000001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0011634495036848104, 0.001163449503684811], \"optimization_time\": 7.7157063484191895}","0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(1)) + -0.125 * (Z(0) @ Z(1) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(6)) + -0.125 * (Z(5) @ Z(6) @ Z(1)) + 0.125 * (Z(5) @ Z(0) @ Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(5) @ Z(2) @ Z(7)) + -0.125 * (Z(5) @ Z(2) @ Z(8)) + -0.125 * (Z(2) @ Z(7) @ Z(8)) + -0.125 * (Z(5) @ Z(7) @ Z(8)) + 0.125 * (Z(5) @ Z(2) @ Z(7) @ Z(8)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(9) @ Z(3)) + 0.125 * (Z(6) @ Z(7)) + 0.125 * (Z(9) @ Z(6)) + 0.125 * (Z(9) @ Z(7)) + -0.125 * (Z(6) @ Z(7) @ Z(3)) + -0.125 * (Z(9) @ Z(6) @ Z(3)) + -0.125 * (Z(9) @ Z(7) @ Z(3)) + -0.125 * (Z(9) @ Z(6) @ Z(7)) + 0.125 * (Z(7) @ Z(9) @ Z(6) @ Z(3)) + 0.25 * (Z(8) @ Z(4)) + 0.25 * (Z(9) @ Z(4)) + 0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(8) @ Z(4)) + -0.625 * Z(0) + 0.25 * Z(1) + 0.25 * Z(2) + 0.25 * Z(3) + 0.125 * Z(4) + 0.25 * Z(5) + 0.25 * Z(6) + 0.25 * Z(7) + 0.125 * Z(8) + 0.125 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-3.75, -3.75, -3.75], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"1001000010\", \"1000100100\", \"1010000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[2], q[1];\nrz(-0.0191) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(-0.0191) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.0191) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(-0.0191) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0191) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(-0.0191) q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(0.0191) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(0.0191) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(0.0191) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(0.0191) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.0191) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[1], q[0];\nrz(-0.0191) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(-0.0191) q[5];\ncx q[0], q[5];\ncx q[6], q[0];\nrz(-0.0191) q[0];\ncx q[6], q[0];\ncx q[1], q[5];\nrz(-0.0191) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(-0.0191) q[6];\ncx q[1], q[6];\ncx q[6], q[5];\nrz(-0.0191) q[5];\ncx q[6], q[5];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(0.0191) q[5];\ncx q[0], q[5];\ncx q[1], q[0];\ncx q[6], q[1];\ncx q[1], q[0];\nrz(0.0191) q[0];\ncx q[1], q[0];\ncx q[6], q[1];\ncx q[6], q[0];\ncx q[0], q[5];\nrz(0.0191) q[5];\ncx q[0], q[5];\ncx q[6], q[0];\ncx q[1], q[6];\ncx q[6], q[5];\nrz(0.0191) q[5];\ncx q[6], q[5];\ncx q[1], q[6];\ncx q[6], q[1];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(-0.0191) q[5];\ncx q[0], q[5];\ncx q[1], q[0];\ncx q[6], q[1];\ncx q[2], q[5];\nrz(-0.0191) q[5];\ncx q[2], q[5];\ncx q[7], q[2];\nrz(-0.0191) q[2];\ncx q[7], q[2];\ncx q[8], q[2];\nrz(-0.0191) q[2];\ncx q[8], q[2];\ncx q[7], q[5];\nrz(-0.0191) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(-0.0191) q[5];\ncx q[8], q[5];\ncx q[8], q[7];\nrz(-0.0191) q[7];\ncx q[8], q[7];\ncx q[7], q[2];\ncx q[2], q[5];\nrz(0.0191) q[5];\ncx q[2], q[5];\ncx q[7], q[2];\ncx q[8], q[2];\ncx q[2], q[5];\nrz(0.0191) q[5];\ncx q[2], q[5];\ncx q[8], q[2];\ncx q[8], q[7];\ncx q[7], q[2];\nrz(0.0191) q[2];\ncx q[7], q[2];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[5];\nrz(0.0191) q[5];\ncx q[7], q[5];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[2];\ncx q[2], q[5];\nrz(-0.0191) q[5];\ncx q[2], q[5];\ncx q[7], q[2];\ncx q[8], q[7];\ncx q[3], q[6];\nrz(-0.0191) q[6];\ncx q[3], q[6];\ncx q[3], q[7];\nrz(-0.0191) q[7];\ncx q[3], q[7];\ncx q[3], q[9];\nrz(-0.0191) q[9];\ncx q[3], q[9];\ncx q[7], q[6];\nrz(-0.0191) q[6];\ncx q[7], q[6];\ncx q[6], q[9];\nrz(-0.0191) q[9];\ncx q[6], q[9];\ncx q[7], q[9];\nrz(-0.0191) q[9];\ncx q[7], q[9];\ncx q[3], q[7];\ncx q[7], q[6];\nrz(0.0191) q[6];\ncx q[7], q[6];\ncx q[3], q[7];\ncx q[3], q[6];\ncx q[6], q[9];\nrz(0.0191) q[9];\ncx q[6], q[9];\ncx q[3], q[6];\ncx q[3], q[7];\ncx q[7], q[9];\nrz(0.0191) q[9];\ncx q[7], q[9];\ncx q[3], q[7];\ncx q[7], q[6];\ncx q[6], q[9];\nrz(0.0191) q[9];\ncx q[6], q[9];\ncx q[7], q[6];\ncx q[3], q[6];\ncx q[6], q[9];\ncx q[9], q[7];\nrz(-0.0191) q[7];\ncx q[9], q[7];\ncx q[6], q[9];\ncx q[3], q[6];\ncx q[4], q[8];\nrz(-0.0382) q[8];\ncx q[4], q[8];\ncx q[4], q[9];\nrz(-0.0382) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(-0.0382) q[9];\ncx q[8], q[9];\ncx q[4], q[8];\ncx q[8], q[9];\nrz(0.0382) q[9];\ncx q[8], q[9];\ncx q[4], q[8];\nrz(0.0954) q[0];\nrz(-0.0382) q[1];\nrz(-0.0382) q[2];\nrz(-0.0382) q[3];\nrz(-0.0191) q[4];\nrz(-0.0382) q[5];\nrz(-0.0382) q[6];\nrz(-0.0382) q[7];\nrz(-0.0191) q[8];\nrz(-0.0191) q[9];\nh q[0];\nrz(0.1554) q[0];\nh q[0];\nh q[1];\nrz(0.1554) q[1];\nh q[1];\nh q[2];\nrz(0.1554) q[2];\nh q[2];\nh q[3];\nrz(0.1554) q[3];\nh q[3];\nh q[4];\nrz(0.1554) q[4];\nh q[4];\nh q[5];\nrz(0.1554) q[5];\nh q[5];\nh q[6];\nrz(0.1554) q[6];\nh q[6];\nh q[7];\nrz(0.1554) q[7];\nh q[7];\nh q[8];\nrz(0.1554) q[8];\nh q[8];\nh q[9];\nrz(0.1554) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[6], q[0];\nrz(x0) q[0];\ncx q[6], q[0];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[1], q[0];\ncx q[6], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[6], q[1];\ncx q[6], q[0];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[6], q[0];\ncx q[1], q[6];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[1], q[6];\ncx q[6], q[1];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[1], q[0];\ncx q[6], q[1];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[7], q[2];\nrz(x0) q[2];\ncx q[7], q[2];\ncx q[8], q[2];\nrz(x0) q[2];\ncx q[8], q[2];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(x0) q[5];\ncx q[8], q[5];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[7], q[2];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[7], q[2];\ncx q[8], q[2];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[8], q[2];\ncx q[8], q[7];\ncx q[7], q[2];\nrz(x1) q[2];\ncx q[7], q[2];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[2];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[7], q[2];\ncx q[8], q[7];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[3], q[9];\nrz(x0) q[9];\ncx q[3], q[9];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[6], q[9];\nrz(x0) q[9];\ncx q[6], q[9];\ncx q[7], q[9];\nrz(x0) q[9];\ncx q[7], q[9];\ncx q[3], q[7];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[3], q[7];\ncx q[3], q[6];\ncx q[6], q[9];\nrz(x1) q[9];\ncx q[6], q[9];\ncx q[3], q[6];\ncx q[3], q[7];\ncx q[7], q[9];\nrz(x1) q[9];\ncx q[7], q[9];\ncx q[3], q[7];\ncx q[7], q[6];\ncx q[6], q[9];\nrz(x1) q[9];\ncx q[6], q[9];\ncx q[7], q[6];\ncx q[3], q[6];\ncx q[6], q[9];\ncx q[9], q[7];\nrz(x0) q[7];\ncx q[9], q[7];\ncx q[6], q[9];\ncx q[3], q[6];\ncx q[4], q[8];\nrz(x2) q[8];\ncx q[4], q[8];\ncx q[4], q[9];\nrz(x2) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(x2) q[9];\ncx q[8], q[9];\ncx q[4], q[8];\ncx q[8], q[9];\nrz(x3) q[9];\ncx q[8], q[9];\ncx q[4], q[8];\nrz(x4) q[0];\nrz(x2) q[1];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x0) q[4];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x0) q[8];\nrz(x0) q[9];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["20a60ed013bc1976376f734be7d8d92c","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}]}","{\"states\": [47071, 47070], \"expectation_value\": -18.56091514690806, \"params\": [[[-0.329, 0.1068], [-0.1885, -0.0936], [1.1218000000000001, 0.6354000000000001], [0.45370000000000005, 0.6855], [-0.0182, 0.38870000000000005], [1.5682, -0.0028], [1.2909000000000002, -0.0029000000000000002], [1.5682, 0.002], [1.5684, -0.003], [1.5686, 0.0023], [-0.0523, 0.002], [0.5767, 0.8752000000000001], [0.0036000000000000003, 1.1417000000000002], [-0.0415, 1.5515], [0.5825, 1.7112], [0.3886, 1.9172]], [[0.4314, -0.0022], [0.3437, -0.0024000000000000002], [1.9889000000000001, 0.0024000000000000002], [2.3906, -0.0021000000000000003], [0.2091, 0.0025], [1.5687, -0.0023], [1.8463, 0.0015], [1.5679, 0.0031000000000000003], [1.5685, 0.0024000000000000002], [1.5690000000000002, -0.0037], [0.09340000000000001, -0.005200000000000001], [2.1432, -0.0029000000000000002], [2.2893, -0.0074], [1.1721000000000001, 0.2436], [-0.12840000000000001, 0.1252], [1.2811000000000001, 0.39680000000000004]]], \"bitstrings\": [\"0100100000100000\", \"0100100000100001\"], \"total_optimization_steps\": 240, \"probabilities\": [0.345385697989474, 0.41440306260133175], \"optimization_time\": 126.45862793922424}","0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(1)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(0)) + 0.25 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(8) @ Z(0)) + 0.25 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(9) @ Z(1)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(15) @ Z(3)) + 0.5 * (Z(15) @ Z(7)) + 0.25 * (Z(15) @ Z(5)) + 0.5 * (Z(15) @ Z(11)) + 0.25 * (Z(15) @ Z(9)) + 0.5 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(3)) + 0.5 * (Z(14) @ Z(6)) + 0.25 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(10)) + 0.25 * (Z(14) @ Z(8)) + 0.5 * (Z(14) @ Z(15)) + 0.25 * (Z(12) @ Z(3)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(15)) + 0.5 * (Z(12) @ Z(14)) + 0.25 * (Z(13) @ Z(2)) + 0.25 * (Z(13) @ Z(0)) + 0.5 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(15)) + 0.5 * (Z(13) @ Z(14)) + 0.5 * (Z(13) @ Z(12)) + 2.25 * Z(2) + 2.5 * Z(3) + 2.75 * Z(0) + 2.5 * Z(1) + 2.75 * Z(7) + 2.5 * Z(6) + 2.5 * Z(4) + 2.25 * Z(5) + 2.25 * Z(11) + 2.5 * Z(10) + 2.5 * Z(8) + 2.75 * Z(9) + 2.5 * Z(15) + 2.75 * Z(14) + 2.25 * Z(12) + 2.5 * Z(13)",15,16,2,"{\"smallest_eigenvalues\": [-19.999999999999957], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.999999999999932, \"smallest_bitstrings\": [\"0100100000100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nry(-0.329) q[0];\nry(-0.1885) q[1];\nry(1.1218) q[2];\nry(0.4537) q[3];\nry(-0.0182) q[4];\nry(1.5682) q[5];\nry(1.2909) q[6];\nry(1.5682) q[7];\nry(1.5684) q[8];\nry(1.5686) q[9];\nry(-0.0523) q[10];\nry(0.5767) q[11];\nry(0.0036) q[12];\nry(-0.0415) q[13];\nry(0.5825) q[14];\nry(0.3886) q[15];\ncx q[15], q[0];\ncx q[14], q[15];\ncx q[13], q[14];\ncx q[12], q[13];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.1068) q[0];\nry(-0.0936) q[1];\nry(0.6354) q[2];\nry(0.6855) q[3];\nry(0.3887) q[4];\nry(-0.0028) q[5];\nry(-0.0029) q[6];\nry(0.002) q[7];\nry(-0.003) q[8];\nry(0.0023) q[9];\nry(0.002) q[10];\nry(0.8752) q[11];\nry(1.1417) q[12];\nry(1.5515) q[13];\nry(1.7112) q[14];\nry(1.9172) q[15];\ncx q[15], q[14];\ncx q[0], q[15];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\ncx q[11], q[12];\ncx q[12], q[13];\ncx q[13], q[14];\nry(0.4314) q[0];\nry(0.3437) q[1];\nry(1.9889) q[2];\nry(2.3906) q[3];\nry(0.2091) q[4];\nry(1.5687) q[5];\nry(1.8463) q[6];\nry(1.5679) q[7];\nry(1.5685) q[8];\nry(1.569) q[9];\nry(0.0934) q[10];\nry(2.1432) q[11];\nry(2.2893) q[12];\nry(1.1721) q[13];\nry(-0.1284) q[14];\nry(1.2811) q[15];\ncx q[15], q[0];\ncx q[14], q[15];\ncx q[13], q[14];\ncx q[12], q[13];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0022) q[0];\nry(-0.0024) q[1];\nry(0.0024) q[2];\nry(-0.0021) q[3];\nry(0.0025) q[4];\nry(-0.0023) q[5];\nry(0.0015) q[6];\nry(0.0031) q[7];\nry(0.0024) q[8];\nry(-0.0037) q[9];\nry(-0.0052) q[10];\nry(-0.0029) q[11];\nry(-0.0074) q[12];\nry(0.2436) q[13];\nry(0.1252) q[14];\nry(0.3968) q[15];\ncx q[15], q[14];\ncx q[0], q[15];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\ncx q[11], q[12];\ncx q[12], q[13];\ncx q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[16] c;\nqubit[16] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x5) q[7];\nry(x7) q[8];\nry(x8) q[9];\nry(x9) q[10];\nry(x10) q[11];\nry(x11) q[12];\nry(x12) q[13];\nry(x13) q[14];\nry(x14) q[15];\ncx q[15], q[0];\ncx q[14], q[15];\ncx q[13], q[14];\ncx q[12], q[13];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x15) q[0];\nry(x16) q[1];\nry(x17) q[2];\nry(x18) q[3];\nry(x19) q[4];\nry(x20) q[5];\nry(x21) q[6];\nry(x22) q[7];\nry(x23) q[8];\nry(x24) q[9];\nry(x22) q[10];\nry(x25) q[11];\nry(x26) q[12];\nry(x27) q[13];\nry(x28) q[14];\nry(x29) q[15];\ncx q[15], q[14];\ncx q[0], q[15];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\ncx q[11], q[12];\ncx q[12], q[13];\ncx q[13], q[14];\nry(x30) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x38) q[8];\nry(x39) q[9];\nry(x40) q[10];\nry(x41) q[11];\nry(x42) q[12];\nry(x43) q[13];\nry(x44) q[14];\nry(x45) q[15];\ncx q[15], q[0];\ncx q[14], q[15];\ncx q[13], q[14];\ncx q[12], q[13];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x46) q[0];\nry(x47) q[1];\nry(x48) q[2];\nry(x49) q[3];\nry(x50) q[4];\nry(x51) q[5];\nry(x52) q[6];\nry(x53) q[7];\nry(x48) q[8];\nry(x54) q[9];\nry(x55) q[10];\nry(x21) q[11];\nry(x56) q[12];\nry(x57) q[13];\nry(x58) q[14];\nry(x59) q[15];\ncx q[15], q[14];\ncx q[0], q[15];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\ncx q[11], q[12];\ncx q[12], q[13];\ncx q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 3}, {\"id\": 2}, {\"id\": 0}, {\"id\": 1}], \"edges\": [{\"source\": 3, \"target\": 2}, {\"source\": 3, \"target\": 0}, {\"source\": 2, \"target\": 1}, {\"source\": 0, \"target\": 1}]}}","{\"circuits\": [], \"gradients\": []}"]
["5aa41fa14f6a892e69fb2ef8bf1750a6","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [70, 102], \"expectation_value\": -5.7965049874611205, \"params\": [-0.0181, -0.011300000000000001, -0.0007, 0.0022, 0.304, 0.3008, 0.2805, 0.2761, 0.0903, 0.09910000000000001, 0.0022, 0.0071, 0.2934, 0.2928, 0.3002, 0.29810000000000003, -0.0068000000000000005, -0.0039000000000000003, -0.011300000000000001, -0.0134, 0.0047, -0.0013000000000000002, 0.3045, 0.3075, 0.2778, 0.27790000000000004, 0.0978, 0.0984, 0.0005, 0.0014, 0.2948, 0.29250000000000004, 0.3035, 0.3022, -0.0022, -0.0015, -0.0102, -0.012700000000000001, 0.0033, 0.0017000000000000001, 0.299, 0.3017, 0.2762, 0.28, 0.0988, 0.09630000000000001, 0.0049, 0.0001, 0.2911, 0.2901, 0.3057, 0.30010000000000003, -0.0043, -0.0085, -0.0177, -0.015600000000000001, 0.0006000000000000001, 0.0006000000000000001, 0.3047, 0.3019, 0.2833, 0.2765, 0.0936, 0.097, 0.0043, -0.0005, 0.2929, 0.2916, 0.30360000000000004, 0.29860000000000003, -0.0032, -0.005200000000000001, -0.14500000000000002, -0.1446, 0.14200000000000002, 0.13670000000000002, -0.19060000000000002, 0.16620000000000001, -0.0008, -0.19140000000000001, 0.0037, -0.0026000000000000003, 0.11750000000000001, -0.009000000000000001, -0.162, 0.1346, 0.0142, -0.1416, -0.009600000000000001, 0.0032, -0.1514, -0.1438, 0.1645, 0.1431, -0.19, 0.1635, -0.004, -0.19010000000000002, -0.0206, -0.0033, 0.1187, -0.0123, -0.1446, -0.0811, -0.0105, -0.1459, -0.021500000000000002, -0.0111, -0.15380000000000002, -0.13770000000000002, 0.1673, 0.14100000000000001, -0.1898, 0.16920000000000002, 0.0012000000000000001, -0.188, 0.021400000000000002, 0.011300000000000001, -0.1451, 0.058300000000000005, -0.1481, -0.1817, -0.0046, -0.1479, 0.0091, 0.0017000000000000001, -0.1542, 0.0095, 0.16690000000000002, 0.005200000000000001, -0.18150000000000002, 0.0018000000000000002, 0.0223, 0.0036000000000000003, 0.0843, 0.0008, -0.1877, 0.0051, -0.1487, 0.0006000000000000001, 0.0367, 0.0006000000000000001, 0.0859, 0.0024000000000000002], \"bitstrings\": [\"110111001\", \"110011001\"], \"total_optimization_steps\": 30, \"probabilities\": [0.10805690259404659, 0.44800850717802976], \"optimization_time\": 15.347834348678589}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(7) + -2.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(8)",13,9,4,"{\"smallest_eigenvalues\": [-6.5, -6.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"110011001\", \"110001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(-0.0181) q[0];\nry(-0.0007) q[1];\nry(0.304) q[2];\nry(0.2805) q[3];\nry(0.0903) q[4];\nry(0.0022) q[5];\nry(0.2934) q[6];\nry(0.3002) q[7];\nry(-0.0068) q[8];\ncrz(-0.145) q[8], q[0];\ncrz(-0.0096) q[7], q[8];\ncrz(0.0142) q[6], q[7];\ncrz(-0.162) q[5], q[6];\ncrz(0.1175) q[4], q[5];\ncrz(0.0037) q[3], q[4];\ncrz(-0.0008) q[2], q[3];\ncrz(-0.1906) q[1], q[2];\ncrz(0.142) q[0], q[1];\nry(-0.0113) q[0];\nry(0.0022) q[1];\nry(0.3008) q[2];\nry(0.2761) q[3];\nry(0.0991) q[4];\nry(0.0071) q[5];\nry(0.2928) q[6];\nry(0.2981) q[7];\nry(-0.0039) q[8];\ncrz(-0.1446) q[8], q[7];\ncrz(0.1367) q[0], q[8];\ncrz(0.1662) q[0], q[1];\ncrz(-0.1914) q[1], q[2];\ncrz(-0.0026) q[2], q[3];\ncrz(-0.009) q[3], q[4];\ncrz(0.1346) q[4], q[5];\ncrz(-0.1416) q[5], q[6];\ncrz(0.0032) q[6], q[7];\nry(-0.0113) q[0];\nry(0.0047) q[1];\nry(0.3045) q[2];\nry(0.2778) q[3];\nry(0.0978) q[4];\nry(0.0005) q[5];\nry(0.2948) q[6];\nry(0.3035) q[7];\nry(-0.0022) q[8];\ncrz(-0.1514) q[8], q[0];\ncrz(-0.0215) q[7], q[8];\ncrz(-0.0105) q[6], q[7];\ncrz(-0.1446) q[5], q[6];\ncrz(0.1187) q[4], q[5];\ncrz(-0.0206) q[3], q[4];\ncrz(-0.004) q[2], q[3];\ncrz(-0.19) q[1], q[2];\ncrz(0.1645) q[0], q[1];\nry(-0.0134) q[0];\nry(-0.0013) q[1];\nry(0.3075) q[2];\nry(0.2779) q[3];\nry(0.0984) q[4];\nry(0.0014) q[5];\nry(0.2925) q[6];\nry(0.3022) q[7];\nry(-0.0015) q[8];\ncrz(-0.1438) q[8], q[7];\ncrz(0.1431) q[0], q[8];\ncrz(0.1635) q[0], q[1];\ncrz(-0.1901) q[1], q[2];\ncrz(-0.0033) q[2], q[3];\ncrz(-0.0123) q[3], q[4];\ncrz(-0.0811) q[4], q[5];\ncrz(-0.1459) q[5], q[6];\ncrz(-0.0111) q[6], q[7];\nry(-0.0102) q[0];\nry(0.0033) q[1];\nry(0.299) q[2];\nry(0.2762) q[3];\nry(0.0988) q[4];\nry(0.0049) q[5];\nry(0.2911) q[6];\nry(0.3057) q[7];\nry(-0.0043) q[8];\ncrz(-0.1538) q[8], q[0];\ncrz(0.0091) q[7], q[8];\ncrz(-0.0046) q[6], q[7];\ncrz(-0.1481) q[5], q[6];\ncrz(-0.1451) q[4], q[5];\ncrz(0.0214) q[3], q[4];\ncrz(0.0012) q[2], q[3];\ncrz(-0.1898) q[1], q[2];\ncrz(0.1673) q[0], q[1];\nry(-0.0127) q[0];\nry(0.0017) q[1];\nry(0.3017) q[2];\nry(0.28) q[3];\nry(0.0963) q[4];\nry(0.0001) q[5];\nry(0.2901) q[6];\nry(0.3001) q[7];\nry(-0.0085) q[8];\ncrz(-0.1377) q[8], q[7];\ncrz(0.141) q[0], q[8];\ncrz(0.1692) q[0], q[1];\ncrz(-0.188) q[1], q[2];\ncrz(0.0113) q[2], q[3];\ncrz(0.0583) q[3], q[4];\ncrz(-0.1817) q[4], q[5];\ncrz(-0.1479) q[5], q[6];\ncrz(0.0017) q[6], q[7];\nry(-0.0177) q[0];\nry(0.0006) q[1];\nry(0.3047) q[2];\nry(0.2833) q[3];\nry(0.0936) q[4];\nry(0.0043) q[5];\nry(0.2929) q[6];\nry(0.3036) q[7];\nry(-0.0032) q[8];\ncrz(-0.1542) q[8], q[0];\ncrz(0.0859) q[7], q[8];\ncrz(0.0367) q[6], q[7];\ncrz(-0.1487) q[5], q[6];\ncrz(-0.1877) q[4], q[5];\ncrz(0.0843) q[3], q[4];\ncrz(0.0223) q[2], q[3];\ncrz(-0.1815) q[1], q[2];\ncrz(0.1669) q[0], q[1];\nry(-0.0156) q[0];\nry(0.0006) q[1];\nry(0.3019) q[2];\nry(0.2765) q[3];\nry(0.097) q[4];\nry(-0.0005) q[5];\nry(0.2916) q[6];\nry(0.2986) q[7];\nry(-0.0052) q[8];\ncrz(0.0095) q[8], q[7];\ncrz(0.0052) q[0], q[8];\ncrz(0.0018) q[0], q[1];\ncrz(0.0036) q[1], q[2];\ncrz(0.0008) q[2], q[3];\ncrz(0.0051) q[3], q[4];\ncrz(0.0006) q[4], q[5];\ncrz(0.0006) q[5], q[6];\ncrz(0.0024) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrz(x9) q[8], q[0];\ncrz(x10) q[7], q[8];\ncrz(x11) q[6], q[7];\ncrz(x12) q[5], q[6];\ncrz(x13) q[4], q[5];\ncrz(x14) q[3], q[4];\ncrz(x15) q[2], q[3];\ncrz(x16) q[1], q[2];\ncrz(x17) q[0], q[1];\nry(x18) q[0];\nry(x5) q[1];\nry(x19) q[2];\nry(x20) q[3];\nry(x21) q[4];\nry(x22) q[5];\nry(x23) q[6];\nry(x24) q[7];\nry(x25) q[8];\ncrz(x26) q[8], q[7];\ncrz(x27) q[0], q[8];\ncrz(x28) q[0], q[1];\ncrz(x29) q[1], q[2];\ncrz(x30) q[2], q[3];\ncrz(x31) q[3], q[4];\ncrz(x32) q[4], q[5];\ncrz(x33) q[5], q[6];\ncrz(x34) q[6], q[7];\nry(x18) q[0];\nry(x35) q[1];\nry(x36) q[2];\nry(x37) q[3];\nry(x38) q[4];\nry(x39) q[5];\nry(x40) q[6];\nry(x41) q[7];\nry(x42) q[8];\ncrz(x43) q[8], q[0];\ncrz(x44) q[7], q[8];\ncrz(x45) q[6], q[7];\ncrz(x26) q[5], q[6];\ncrz(x46) q[4], q[5];\ncrz(x47) q[3], q[4];\ncrz(x48) q[2], q[3];\ncrz(x49) q[1], q[2];\ncrz(x50) q[0], q[1];\nry(x51) q[0];\nry(x52) q[1];\nry(x53) q[2];\nry(x54) q[3];\nry(x55) q[4];\nry(x56) q[5];\nry(x57) q[6];\nry(x58) q[7];\nry(x59) q[8];\ncrz(x60) q[8], q[7];\ncrz(x61) q[0], q[8];\ncrz(x62) q[0], q[1];\ncrz(x63) q[1], q[2];\ncrz(x64) q[2], q[3];\ncrz(x65) q[3], q[4];\ncrz(x66) q[4], q[5];\ncrz(x67) q[5], q[6];\ncrz(x68) q[6], q[7];\nry(x69) q[0];\nry(x70) q[1];\nry(x71) q[2];\nry(x72) q[3];\nry(x73) q[4];\nry(x74) q[5];\nry(x75) q[6];\nry(x76) q[7];\nry(x77) q[8];\ncrz(x78) q[8], q[0];\ncrz(x79) q[7], q[8];\ncrz(x80) q[6], q[7];\ncrz(x81) q[5], q[6];\ncrz(x82) q[4], q[5];\ncrz(x83) q[3], q[4];\ncrz(x84) q[2], q[3];\ncrz(x85) q[1], q[2];\ncrz(x86) q[0], q[1];\nry(x87) q[0];\nry(x88) q[1];\nry(x89) q[2];\nry(x90) q[3];\nry(x91) q[4];\nry(x92) q[5];\nry(x93) q[6];\nry(x94) q[7];\nry(x95) q[8];\ncrz(x96) q[8], q[7];\ncrz(x97) q[0], q[8];\ncrz(x98) q[0], q[1];\ncrz(x99) q[1], q[2];\ncrz(x100) q[2], q[3];\ncrz(x101) q[3], q[4];\ncrz(x102) q[4], q[5];\ncrz(x103) q[5], q[6];\ncrz(x88) q[6], q[7];\nry(x104) q[0];\nry(x105) q[1];\nry(x106) q[2];\nry(x107) q[3];\nry(x108) q[4];\nry(x109) q[5];\nry(x110) q[6];\nry(x111) q[7];\nry(x112) q[8];\ncrz(x113) q[8], q[0];\ncrz(x114) q[7], q[8];\ncrz(x115) q[6], q[7];\ncrz(x116) q[5], q[6];\ncrz(x117) q[4], q[5];\ncrz(x118) q[3], q[4];\ncrz(x119) q[2], q[3];\ncrz(x120) q[1], q[2];\ncrz(x121) q[0], q[1];\nry(x122) q[0];\nry(x105) q[1];\nry(x123) q[2];\nry(x124) q[3];\nry(x125) q[4];\nry(x126) q[5];\nry(x127) q[6];\nry(x128) q[7];\nry(x129) q[8];\ncrz(x130) q[8], q[7];\ncrz(x131) q[0], q[8];\ncrz(x132) q[0], q[1];\ncrz(x133) q[1], q[2];\ncrz(x134) q[2], q[3];\ncrz(x135) q[3], q[4];\ncrz(x105) q[4], q[5];\ncrz(x105) q[5], q[6];\ncrz(x136) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["1c5d1381d8045df60eb241fe502287d3","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [199, 135], \"expectation_value\": -2.635746415334708, \"params\": [[-0.0707], [0.0656]], \"bitstrings\": [\"1100111000\", \"1101111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0018564300578615377, 0.001938626343649256], \"optimization_time\": 2.391594171524048}","-3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(2)) + -3.0 * Z(1) + -2.5 * Z(0) + -2.5 * Z(4) + 1.0 * Z(3) + -2.5 * Z(5) + -2.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(2) + 0.5 * Z(9)",5,10,1,"{\"smallest_eigenvalues\": [-32.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -31.0, \"smallest_bitstrings\": [\"1101111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(0.4242) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(-0.2121) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.4242) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(0.3535) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0707) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(0.4949) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.2121) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.4242) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.0707) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.1414) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.1414) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(0.3535) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.3535) q[6];\ncx q[5], q[6];\ncx q[8], q[7];\nrz(0.2121) q[7];\ncx q[8], q[7];\ncx q[8], q[2];\nrz(0.2828) q[2];\ncx q[8], q[2];\ncx q[7], q[2];\nrz(-0.0707) q[2];\ncx q[7], q[2];\ncx q[8], q[9];\nrz(-0.0707) q[9];\ncx q[8], q[9];\ncx q[2], q[9];\nrz(0.2121) q[9];\ncx q[2], q[9];\nrz(0.4242) q[1];\nrz(0.3535) q[0];\nrz(0.3535) q[4];\nrz(-0.1414) q[3];\nrz(0.3535) q[5];\nrz(0.3535) q[6];\nrz(-0.0707) q[8];\nrz(-0.0707) q[7];\nrz(-0.0707) q[2];\nrz(-0.0707) q[9];\nh q[0];\nrz(0.1312) q[0];\nh q[0];\nh q[1];\nrz(0.1312) q[1];\nh q[1];\nh q[2];\nrz(0.1312) q[2];\nh q[2];\nh q[3];\nrz(0.1312) q[3];\nh q[3];\nh q[4];\nrz(0.1312) q[4];\nh q[4];\nh q[5];\nrz(0.1312) q[5];\nh q[5];\nh q[6];\nrz(0.1312) q[6];\nh q[6];\nh q[7];\nrz(0.1312) q[7];\nh q[7];\nh q[8];\nrz(0.1312) q[8];\nh q[8];\nh q[9];\nrz(0.1312) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x3) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x5) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x5) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[8], q[7];\nrz(x6) q[7];\ncx q[8], q[7];\ncx q[8], q[2];\nrz(x7) q[2];\ncx q[8], q[2];\ncx q[7], q[2];\nrz(x3) q[2];\ncx q[7], q[2];\ncx q[8], q[9];\nrz(x3) q[9];\ncx q[8], q[9];\ncx q[2], q[9];\nrz(x6) q[9];\ncx q[2], q[9];\nrz(x0) q[1];\nrz(x2) q[0];\nrz(x2) q[4];\nrz(x5) q[3];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x3) q[8];\nrz(x3) q[7];\nrz(x3) q[2];\nrz(x3) q[9];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\nh q[9];\nrz(x8) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 6}","{\"circuits\": [], \"gradients\": []}"]
["fc080107649a6d17dcb56ee14364c80b","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 16, \"source\": 0, \"target\": 3}, {\"weight\": 17, \"source\": 1, \"target\": 2}, {\"weight\": 15, \"source\": 1, \"target\": 3}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 2, \"target\": 4}, {\"weight\": 20, \"source\": 2, \"target\": 5}, {\"weight\": 9, \"source\": 4, \"target\": 5}]}","{\"states\": [119, 118], \"expectation_value\": -26.65129635359125, \"params\": [[-0.031, -0.0092, 0.011000000000000001], [0.0604, 0.066, 0.0654]], \"bitstrings\": [\"10001000\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.013476520953137209, 0.01607772798019105], \"optimization_time\": 7.628106117248535}","3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 7.5 * Z(0) + 19.0 * Z(2) + 14.5 * Z(3) + 12.5 * Z(4) + 13.0 * Z(5) + 17.0 * Z(6) + 4.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-68.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -63.0, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.217) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.217) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.217) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.217) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.217) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.217) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.217) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.217) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.217) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.217) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.217) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.217) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.217) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(-0.217) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.217) q[7];\ncx q[6], q[7];\nrz(-0.713) q[1];\nrz(-0.465) q[0];\nrz(-1.178) q[2];\nrz(-0.899) q[3];\nrz(-0.775) q[4];\nrz(-0.806) q[5];\nrz(-1.054) q[6];\nrz(-0.279) q[7];\nh q[0];\nrz(0.1208) q[0];\nh q[0];\nh q[1];\nrz(0.1208) q[1];\nh q[1];\nh q[2];\nrz(0.1208) q[2];\nh q[2];\nh q[3];\nrz(0.1208) q[3];\nh q[3];\nh q[4];\nrz(0.1208) q[4];\nh q[4];\nh q[5];\nrz(0.1208) q[5];\nh q[5];\nh q[6];\nrz(0.1208) q[6];\nh q[6];\nh q[7];\nrz(0.1208) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0644) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0644) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0644) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0644) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0644) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0644) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.0644) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0644) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.0644) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0644) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.0644) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0644) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0644) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(-0.0644) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0644) q[7];\ncx q[6], q[7];\nrz(-0.2116) q[1];\nrz(-0.138) q[0];\nrz(-0.3496) q[2];\nrz(-0.2668) q[3];\nrz(-0.23) q[4];\nrz(-0.2392) q[5];\nrz(-0.3128) q[6];\nrz(-0.0828) q[7];\nh q[0];\nrz(0.132) q[0];\nh q[0];\nh q[1];\nrz(0.132) q[1];\nh q[1];\nh q[2];\nrz(0.132) q[2];\nh q[2];\nh q[3];\nrz(0.132) q[3];\nh q[3];\nh q[4];\nrz(0.132) q[4];\nh q[4];\nh q[5];\nrz(0.132) q[5];\nh q[5];\nh q[6];\nrz(0.132) q[6];\nh q[6];\nh q[7];\nrz(0.132) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.077) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.077) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.077) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.077) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.077) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.077) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.077) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.077) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.077) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.077) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.077) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.077) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.077) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(0.077) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.077) q[7];\ncx q[6], q[7];\nrz(0.253) q[1];\nrz(0.165) q[0];\nrz(0.418) q[2];\nrz(0.319) q[3];\nrz(0.275) q[4];\nrz(0.286) q[5];\nrz(0.374) q[6];\nrz(0.099) q[7];\nh q[0];\nrz(0.1308) q[0];\nh q[0];\nh q[1];\nrz(0.1308) q[1];\nh q[1];\nh q[2];\nrz(0.1308) q[2];\nh q[2];\nh q[3];\nrz(0.1308) q[3];\nh q[3];\nh q[4];\nrz(0.1308) q[4];\nh q[4];\nh q[5];\nrz(0.1308) q[5];\nh q[5];\nh q[6];\nrz(0.1308) q[6];\nh q[6];\nh q[7];\nrz(0.1308) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x10) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x20) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x20) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x20) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x20) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x20) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x20) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 6}\"}","{\"circuits\": [], \"gradients\": []}"]
["9c1ee192c2f57fe7cc46ca444fd40044","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [62, 1], \"expectation_value\": -0.19976324855223304, \"params\": [[0.049800000000000004], [-0.043000000000000003]], \"bitstrings\": [\"000001\", \"111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01730918212874595, 0.01771083445241971], \"optimization_time\": 1.6406071186065674}","-1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) + 0.75 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-8.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0996) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(-0.0747) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0747) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(-0.0747) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(-0.0747) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(-0.0996) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(-0.0498) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.0747) q[3];\ncx q[2], q[3];\ncx q[0], q[5];\nrz(0.1992) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0249) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(-0.0996) q[5];\ncx q[2], q[5];\nrz(-0.1494) q[1];\nrz(-0.0249) q[0];\nrz(0) q[4];\nrz(0.0249) q[2];\nrz(0.0747) q[3];\nrz(0.0747) q[5];\nh q[0];\nrz(-0.086) q[0];\nh q[0];\nh q[1];\nrz(-0.086) q[1];\nh q[1];\nh q[2];\nrz(-0.086) q[2];\nh q[2];\nh q[3];\nrz(-0.086) q[3];\nh q[3];\nh q[4];\nrz(-0.086) q[4];\nh q[4];\nh q[5];\nrz(-0.086) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\nrz(x5) q[1];\nrz(x4) q[0];\nrz(x6) q[4];\nrz(x7) q[2];\nrz(x8) q[3];\nrz(x8) q[5];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["f873cf0048fc44701f70d0f09e6d1420","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 3}, {\"capacity\": 4, \"source\": 5, \"target\": 7}, {\"capacity\": 3, \"source\": 6, \"target\": 2}]}","{\"states\": [87, 85], \"expectation_value\": -7.681329686763363, \"params\": [[0.13820000000000002, 0.2192], [-0.42060000000000003, -0.3171]], \"bitstrings\": [\"10101000\", \"10101010\"], \"total_optimization_steps\": 50, \"probabilities\": [0.05502391672083625, 0.055085838005496726], \"optimization_time\": 4.115557670593262}","-0.5 * (Z(0) @ Z(4)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(3) + 1.0 * Z(1) + -0.25 * Z(6) + -0.75 * Z(7) + -1.0 * Z(2) + 2.5 * Z(5)",1,8,2,"{\"smallest_eigenvalues\": [-11.75, -11.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -10.75, \"smallest_bitstrings\": [\"10101010\", \"10101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[0];\nrz(-0.1382) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(-0.2764) q[3];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.3455) q[1];\ncx q[3], q[1];\ncx q[1], q[6];\nrz(-0.2764) q[6];\ncx q[1], q[6];\ncx q[0], q[7];\nrz(0.2073) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(-0.1382) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(-0.5528) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(-0.1382) q[2];\ncx q[3], q[2];\ncx q[6], q[2];\nrz(-0.2073) q[2];\ncx q[6], q[2];\ncx q[3], q[5];\nrz(-0.2764) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.2073) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(-0.2764) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(-0.0691) q[5];\ncx q[2], q[5];\nrz(-0.4146) q[4];\nrz(-0.0691) q[0];\nrz(0.0691) q[3];\nrz(0.2764) q[1];\nrz(-0.0691) q[6];\nrz(-0.2073) q[7];\nrz(-0.2764) q[2];\nrz(0.691) q[5];\nh q[0];\nrz(-0.8412) q[0];\nh q[0];\nh q[1];\nrz(-0.8412) q[1];\nh q[1];\nh q[2];\nrz(-0.8412) q[2];\nh q[2];\nh q[3];\nrz(-0.8412) q[3];\nh q[3];\nh q[4];\nrz(-0.8412) q[4];\nh q[4];\nh q[5];\nrz(-0.8412) q[5];\nh q[5];\nh q[6];\nrz(-0.8412) q[6];\nh q[6];\nh q[7];\nrz(-0.8412) q[7];\nh q[7];\ncx q[4], q[0];\nrz(-0.2192) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(-0.4384) q[3];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.548) q[1];\ncx q[3], q[1];\ncx q[1], q[6];\nrz(-0.4384) q[6];\ncx q[1], q[6];\ncx q[0], q[7];\nrz(0.3288) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(-0.2192) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(-0.8768) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(-0.2192) q[2];\ncx q[3], q[2];\ncx q[6], q[2];\nrz(-0.3288) q[2];\ncx q[6], q[2];\ncx q[3], q[5];\nrz(-0.4384) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.3288) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(-0.4384) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(-0.1096) q[5];\ncx q[2], q[5];\nrz(-0.6576) q[4];\nrz(-0.1096) q[0];\nrz(0.1096) q[3];\nrz(0.4384) q[1];\nrz(-0.1096) q[6];\nrz(-0.3288) q[7];\nrz(-0.4384) q[2];\nrz(1.096) q[5];\nh q[0];\nrz(-0.6342) q[0];\nh q[0];\nh q[1];\nrz(-0.6342) q[1];\nh q[1];\nh q[2];\nrz(-0.6342) q[2];\nh q[2];\nh q[3];\nrz(-0.6342) q[3];\nh q[3];\nh q[4];\nrz(-0.6342) q[4];\nh q[4];\nh q[5];\nrz(-0.6342) q[5];\nh q[5];\nh q[6];\nrz(-0.6342) q[6];\nh q[6];\nh q[7];\nrz(-0.6342) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x2) q[1];\ncx q[3], q[1];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[7];\nrz(x3) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(x4) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[6], q[2];\nrz(x5) q[2];\ncx q[6], q[2];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x5) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\nrz(x7) q[4];\nrz(x6) q[0];\nrz(x8) q[3];\nrz(x9) q[1];\nrz(x6) q[6];\nrz(x5) q[7];\nrz(x1) q[2];\nrz(x10) q[5];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\ncx q[4], q[0];\nrz(x12) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(x13) q[3];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x14) q[1];\ncx q[3], q[1];\ncx q[1], q[6];\nrz(x13) q[6];\ncx q[1], q[6];\ncx q[0], q[7];\nrz(x15) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(x12) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(x16) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(x12) q[2];\ncx q[3], q[2];\ncx q[6], q[2];\nrz(x17) q[2];\ncx q[6], q[2];\ncx q[3], q[5];\nrz(x13) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x17) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x13) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(x18) q[5];\ncx q[2], q[5];\nrz(x19) q[4];\nrz(x18) q[0];\nrz(x20) q[3];\nrz(x21) q[1];\nrz(x18) q[6];\nrz(x17) q[7];\nrz(x13) q[2];\nrz(x22) q[5];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["e9e1c3bad7671d416f508c960af260f6","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}]}","{\"states\": [33, 1], \"expectation_value\": -7.249999958339817, \"params\": null, \"bitstrings\": [\"1011110\", \"1111110\"], \"total_optimization_steps\": 18, \"probabilities\": [0.4999999958328442, 0.4999999958328442], \"optimization_time\": 15.351597309112549}","-0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-7.25, -7.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.25, \"smallest_bitstrings\": [\"1111110\", \"1011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[6];\nry(-1.5708) q[0];\nry(-1.5681) q[2];\nry(-1.5681) q[4];\nry(-1.5486) q[3];\nry(-1.5708) q[5];\ncry(-0.0222) q[6], q[3];\ncry(-0.0027) q[6], q[2];\ncry(-0.0027) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\ncry(-0.0027) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\ncry(-0.0027) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\ncry(-0.0027) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\ncry(-0.0027) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\ncry(-0.0027) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5706) q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[5];\\ncry(-0.0222) q[6], q[3];\\ncry(-0.0027) q[6], q[2];\\ncry(-0.0027) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.2444, 1.7447, 0.9945, 1.0007, 0.7481, 1.4998, 0.0356, 0.0093, 0.0075, 0.0055, 0.0045, 0.0045, 0.0042, 0.0038, 0.0038, 0.0038, 0.0033, 0.0025]}"]
["aa593368bb5365cab30d0ff25322eaa9","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 8}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 6, \"target\": 4}, {\"capacity\": 4, \"source\": 7, \"target\": 1}, {\"capacity\": 3, \"source\": 7, \"target\": 5}]}","{\"states\": [0, 1], \"expectation_value\": -7.400854071477466, \"params\": [0.0014, -0.06960000000000001, -0.0017000000000000001, -0.0913, 0.0011, -0.10690000000000001, -0.0005, -0.0781, 0.0658, 0.060000000000000005, 0.1153, 0.0233, 0.003, -0.15280000000000002, 0.0041, -0.15460000000000002, 0.0057, -0.11470000000000001, 0.0014, -0.1501, 0.0017000000000000001, -0.15280000000000002, 0.0057, -0.1476, 0.005, -0.1404, 0.0019, -0.1512, 0.12000000000000001, 0.0443, 0.1358, 0.0189, 0.2058, 0.039900000000000005, 0.2086, 0.0118, -0.0046, -0.1292, -0.0049, -0.13390000000000002, 0.002, -0.0859, -0.0005, -0.0262, 0.1169, 0.0291, 0.1459, 0.0176, 0.0022, -0.1468, 0.0017000000000000001, -0.1515, -0.002, -0.1479, 0.0028, -0.15610000000000002, -0.0009000000000000001, -0.1555, 0.0063, -0.15080000000000002, 0.0, -0.15510000000000002, 0.0044, -0.1526, 0.1423, 0.0258, 0.1587, 0.0073, 0.20450000000000002, 0.0381, 0.2071, 0.0167, 0.001, -0.1278, -0.0061, -0.09530000000000001, 0.0049, -0.0318, 0.006900000000000001, -0.0644, 0.1512, 0.0152, 0.1676, -0.0031000000000000003, 0.005, -0.1537, 0.0031000000000000003, -0.151, 0.006, -0.1501, -0.0021000000000000003, -0.13870000000000002, -0.0004, -0.1481, 0.0033, -0.15460000000000002, -0.0005, -0.14600000000000002, 0.006500000000000001, -0.1521, 0.16090000000000002, 0.0126, 0.1673, -0.011300000000000001, 0.2049, 0.0375, 0.2005, 0.014400000000000001, -0.0011, -0.0791, 0.0016, 0.0001, 0.006200000000000001, -0.1125, 0.004200000000000001, 0.007200000000000001, 0.1648, 0.0021000000000000003, 0.1673, 0.0015, 0.006200000000000001, -0.1531, 0.0005, 0.009000000000000001, 0.0029000000000000002, -0.1087, 0.0045000000000000005, 0.0008, 0.0086, -0.127, -0.0006000000000000001, 0.0035, -0.001, -0.10160000000000001, 0.0051, 0.0015, 0.1713, 0.0074, 0.16640000000000002, 0.004200000000000001, 0.20850000000000002, 0.039900000000000005, 0.2082, 0.009300000000000001, 0.0285, 0.0135, 0.0236, -0.0025, 0.024300000000000002, -0.0178, 0.019700000000000002, 0.027200000000000002, 0.1105, 0.026500000000000003, 0.0317, 0.0205, 0.0067, 0.0245, -0.0172, 0.024800000000000003, 0.0158, -0.0018000000000000002, 0.029900000000000003, 0.024900000000000002, 0.0135, 0.0045000000000000005, 0.0234, 0.0008, 0.0199, 0.0125, -0.0263, 0.033100000000000004, 0.0038, 0.008700000000000001, -0.0025, 0.0239, 0.0027, 0.0302, 0.0051, -0.024200000000000003], \"bitstrings\": [\"111111111\", \"111111110\"], \"total_optimization_steps\": 20, \"probabilities\": [0.22573799341720618, 0.26343950941377436], \"optimization_time\": 60.297146797180176}","-0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4) + 1.75 * Z(7)",5,9,4,"{\"smallest_eigenvalues\": [-9.25, -9.25, -9.25, -9.25], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -8.25, \"smallest_bitstrings\": [\"110111110\", \"111111100\", \"110111100\", \"111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0014) q[0];\nrz(-0.0696) q[0];\nrx(0.0011) q[1];\nrz(-0.1069) q[1];\nrx(0.0658) q[2];\nrz(0.06) q[2];\nrx(0.003) q[3];\nrz(-0.1528) q[3];\nrx(0.0057) q[4];\nrz(-0.1147) q[4];\nrx(0.0017) q[5];\nrz(-0.1528) q[5];\nrx(0.005) q[6];\nrz(-0.1404) q[6];\nrx(0.12) q[7];\nrz(0.0443) q[7];\nrx(0.2058) q[8];\nrz(0.0399) q[8];\ncrz(0.0272) q[8], q[7];\ncrz(0.0197) q[8], q[6];\ncrz(-0.0178) q[8], q[5];\ncrz(0.0243) q[8], q[4];\ncrz(-0.0025) q[8], q[3];\ncrz(0.0236) q[8], q[2];\ncrz(0.0135) q[8], q[1];\ncrz(0.0285) q[8], q[0];\ncrz(0.1105) q[7], q[8];\ncrz(0.0197) q[7], q[6];\ncrz(-0.0178) q[7], q[5];\ncrz(0.0243) q[7], q[4];\ncrz(-0.0025) q[7], q[3];\ncrz(0.0236) q[7], q[2];\ncrz(0.0135) q[7], q[1];\ncrz(0.0285) q[7], q[0];\ncrz(0.1105) q[6], q[8];\ncrz(0.0272) q[6], q[7];\ncrz(-0.0178) q[6], q[5];\ncrz(0.0243) q[6], q[4];\ncrz(-0.0025) q[6], q[3];\ncrz(0.0236) q[6], q[2];\ncrz(0.0135) q[6], q[1];\ncrz(0.0285) q[6], q[0];\ncrz(0.1105) q[5], q[8];\ncrz(0.0272) q[5], q[7];\ncrz(0.0197) q[5], q[6];\ncrz(0.0243) q[5], q[4];\ncrz(-0.0025) q[5], q[3];\ncrz(0.0236) q[5], q[2];\ncrz(0.0135) q[5], q[1];\ncrz(0.0285) q[5], q[0];\ncrz(0.1105) q[4], q[8];\ncrz(0.0272) q[4], q[7];\ncrz(0.0197) q[4], q[6];\ncrz(-0.0178) q[4], q[5];\ncrz(-0.0025) q[4], q[3];\ncrz(0.0236) q[4], q[2];\ncrz(0.0135) q[4], q[1];\ncrz(0.0285) q[4], q[0];\ncrz(0.1105) q[3], q[8];\ncrz(0.0272) q[3], q[7];\ncrz(0.0197) q[3], q[6];\ncrz(-0.0178) q[3], q[5];\ncrz(0.0243) q[3], q[4];\ncrz(0.0236) q[3], q[2];\ncrz(0.0135) q[3], q[1];\ncrz(0.0285) q[3], q[0];\ncrz(0.1105) q[2], q[8];\ncrz(0.0272) q[2], q[7];\ncrz(0.0197) q[2], q[6];\ncrz(-0.0178) q[2], q[5];\ncrz(0.0243) q[2], q[4];\ncrz(-0.0025) q[2], q[3];\ncrz(0.0135) q[2], q[1];\ncrz(0.0285) q[2], q[0];\ncrz(0.1105) q[1], q[8];\ncrz(0.0272) q[1], q[7];\ncrz(0.0197) q[1], q[6];\ncrz(-0.0178) q[1], q[5];\ncrz(0.0243) q[1], q[4];\ncrz(-0.0025) q[1], q[3];\ncrz(0.0236) q[1], q[2];\ncrz(0.0285) q[1], q[0];\ncrz(0.1105) q[0], q[8];\ncrz(0.0272) q[0], q[7];\ncrz(0.0197) q[0], q[6];\ncrz(-0.0178) q[0], q[5];\ncrz(0.0243) q[0], q[4];\ncrz(-0.0025) q[0], q[3];\ncrz(0.0236) q[0], q[2];\ncrz(0.0135) q[0], q[1];\nrx(-0.0017) q[0];\nrz(-0.0913) q[0];\nrx(-0.0005) q[1];\nrz(-0.0781) q[1];\nrx(0.1153) q[2];\nrz(0.0233) q[2];\nrx(0.0041) q[3];\nrz(-0.1546) q[3];\nrx(0.0014) q[4];\nrz(-0.1501) q[4];\nrx(0.0057) q[5];\nrz(-0.1476) q[5];\nrx(0.0019) q[6];\nrz(-0.1512) q[6];\nrx(0.1358) q[7];\nrz(0.0189) q[7];\nrx(0.2086) q[8];\nrz(0.0118) q[8];\nrx(-0.0046) q[0];\nrz(-0.1292) q[0];\nrx(0.002) q[1];\nrz(-0.0859) q[1];\nrx(0.1169) q[2];\nrz(0.0291) q[2];\nrx(0.0022) q[3];\nrz(-0.1468) q[3];\nrx(-0.002) q[4];\nrz(-0.1479) q[4];\nrx(-0.0009) q[5];\nrz(-0.1555) q[5];\nrx(0) q[6];\nrz(-0.1551) q[6];\nrx(0.1423) q[7];\nrz(0.0258) q[7];\nrx(0.2045) q[8];\nrz(0.0381) q[8];\ncrz(0.0158) q[8], q[7];\ncrz(0.0248) q[8], q[6];\ncrz(-0.0172) q[8], q[5];\ncrz(0.0245) q[8], q[4];\ncrz(0.0067) q[8], q[3];\ncrz(0.0205) q[8], q[2];\ncrz(0.0317) q[8], q[1];\ncrz(0.0265) q[8], q[0];\ncrz(-0.0018) q[7], q[8];\ncrz(0.0248) q[7], q[6];\ncrz(-0.0172) q[7], q[5];\ncrz(0.0245) q[7], q[4];\ncrz(0.0067) q[7], q[3];\ncrz(0.0205) q[7], q[2];\ncrz(0.0317) q[7], q[1];\ncrz(0.0265) q[7], q[0];\ncrz(-0.0018) q[6], q[8];\ncrz(0.0158) q[6], q[7];\ncrz(-0.0172) q[6], q[5];\ncrz(0.0245) q[6], q[4];\ncrz(0.0067) q[6], q[3];\ncrz(0.0205) q[6], q[2];\ncrz(0.0317) q[6], q[1];\ncrz(0.0265) q[6], q[0];\ncrz(-0.0018) q[5], q[8];\ncrz(0.0158) q[5], q[7];\ncrz(0.0248) q[5], q[6];\ncrz(0.0245) q[5], q[4];\ncrz(0.0067) q[5], q[3];\ncrz(0.0205) q[5], q[2];\ncrz(0.0317) q[5], q[1];\ncrz(0.0265) q[5], q[0];\ncrz(-0.0018) q[4], q[8];\ncrz(0.0158) q[4], q[7];\ncrz(0.0248) q[4], q[6];\ncrz(-0.0172) q[4], q[5];\ncrz(0.0067) q[4], q[3];\ncrz(0.0205) q[4], q[2];\ncrz(0.0317) q[4], q[1];\ncrz(0.0265) q[4], q[0];\ncrz(-0.0018) q[3], q[8];\ncrz(0.0158) q[3], q[7];\ncrz(0.0248) q[3], q[6];\ncrz(-0.0172) q[3], q[5];\ncrz(0.0245) q[3], q[4];\ncrz(0.0205) q[3], q[2];\ncrz(0.0317) q[3], q[1];\ncrz(0.0265) q[3], q[0];\ncrz(-0.0018) q[2], q[8];\ncrz(0.0158) q[2], q[7];\ncrz(0.0248) q[2], q[6];\ncrz(-0.0172) q[2], q[5];\ncrz(0.0245) q[2], q[4];\ncrz(0.0067) q[2], q[3];\ncrz(0.0317) q[2], q[1];\ncrz(0.0265) q[2], q[0];\ncrz(-0.0018) q[1], q[8];\ncrz(0.0158) q[1], q[7];\ncrz(0.0248) q[1], q[6];\ncrz(-0.0172) q[1], q[5];\ncrz(0.0245) q[1], q[4];\ncrz(0.0067) q[1], q[3];\ncrz(0.0205) q[1], q[2];\ncrz(0.0265) q[1], q[0];\ncrz(-0.0018) q[0], q[8];\ncrz(0.0158) q[0], q[7];\ncrz(0.0248) q[0], q[6];\ncrz(-0.0172) q[0], q[5];\ncrz(0.0245) q[0], q[4];\ncrz(0.0067) q[0], q[3];\ncrz(0.0205) q[0], q[2];\ncrz(0.0317) q[0], q[1];\nrx(-0.0049) q[0];\nrz(-0.1339) q[0];\nrx(-0.0005) q[1];\nrz(-0.0262) q[1];\nrx(0.1459) q[2];\nrz(0.0176) q[2];\nrx(0.0017) q[3];\nrz(-0.1515) q[3];\nrx(0.0028) q[4];\nrz(-0.1561) q[4];\nrx(0.0063) q[5];\nrz(-0.1508) q[5];\nrx(0.0044) q[6];\nrz(-0.1526) q[6];\nrx(0.1587) q[7];\nrz(0.0073) q[7];\nrx(0.2071) q[8];\nrz(0.0167) q[8];\nrx(0.001) q[0];\nrz(-0.1278) q[0];\nrx(0.0049) q[1];\nrz(-0.0318) q[1];\nrx(0.1512) q[2];\nrz(0.0152) q[2];\nrx(0.005) q[3];\nrz(-0.1537) q[3];\nrx(0.006) q[4];\nrz(-0.1501) q[4];\nrx(-0.0004) q[5];\nrz(-0.1481) q[5];\nrx(-0.0005) q[6];\nrz(-0.146) q[6];\nrx(0.1609) q[7];\nrz(0.0126) q[7];\nrx(0.2049) q[8];\nrz(0.0375) q[8];\ncrz(0.0125) q[8], q[7];\ncrz(0.0199) q[8], q[6];\ncrz(0.0008) q[8], q[5];\ncrz(0.0234) q[8], q[4];\ncrz(0.0045) q[8], q[3];\ncrz(0.0135) q[8], q[2];\ncrz(0.0249) q[8], q[1];\ncrz(0.0299) q[8], q[0];\ncrz(-0.0263) q[7], q[8];\ncrz(0.0199) q[7], q[6];\ncrz(0.0008) q[7], q[5];\ncrz(0.0234) q[7], q[4];\ncrz(0.0045) q[7], q[3];\ncrz(0.0135) q[7], q[2];\ncrz(0.0249) q[7], q[1];\ncrz(0.0299) q[7], q[0];\ncrz(-0.0263) q[6], q[8];\ncrz(0.0125) q[6], q[7];\ncrz(0.0008) q[6], q[5];\ncrz(0.0234) q[6], q[4];\ncrz(0.0045) q[6], q[3];\ncrz(0.0135) q[6], q[2];\ncrz(0.0249) q[6], q[1];\ncrz(0.0299) q[6], q[0];\ncrz(-0.0263) q[5], q[8];\ncrz(0.0125) q[5], q[7];\ncrz(0.0199) q[5], q[6];\ncrz(0.0234) q[5], q[4];\ncrz(0.0045) q[5], q[3];\ncrz(0.0135) q[5], q[2];\ncrz(0.0249) q[5], q[1];\ncrz(0.0299) q[5], q[0];\ncrz(-0.0263) q[4], q[8];\ncrz(0.0125) q[4], q[7];\ncrz(0.0199) q[4], q[6];\ncrz(0.0008) q[4], q[5];\ncrz(0.0045) q[4], q[3];\ncrz(0.0135) q[4], q[2];\ncrz(0.0249) q[4], q[1];\ncrz(0.0299) q[4], q[0];\ncrz(-0.0263) q[3], q[8];\ncrz(0.0125) q[3], q[7];\ncrz(0.0199) q[3], q[6];\ncrz(0.0008) q[3], q[5];\ncrz(0.0234) q[3], q[4];\ncrz(0.0135) q[3], q[2];\ncrz(0.0249) q[3], q[1];\ncrz(0.0299) q[3], q[0];\ncrz(-0.0263) q[2], q[8];\ncrz(0.0125) q[2], q[7];\ncrz(0.0199) q[2], q[6];\ncrz(0.0008) q[2], q[5];\ncrz(0.0234) q[2], q[4];\ncrz(0.0045) q[2], q[3];\ncrz(0.0249) q[2], q[1];\ncrz(0.0299) q[2], q[0];\ncrz(-0.0263) q[1], q[8];\ncrz(0.0125) q[1], q[7];\ncrz(0.0199) q[1], q[6];\ncrz(0.0008) q[1], q[5];\ncrz(0.0234) q[1], q[4];\ncrz(0.0045) q[1], q[3];\ncrz(0.0135) q[1], q[2];\ncrz(0.0299) q[1], q[0];\ncrz(-0.0263) q[0], q[8];\ncrz(0.0125) q[0], q[7];\ncrz(0.0199) q[0], q[6];\ncrz(0.0008) q[0], q[5];\ncrz(0.0234) q[0], q[4];\ncrz(0.0045) q[0], q[3];\ncrz(0.0135) q[0], q[2];\ncrz(0.0249) q[0], q[1];\nrx(-0.0061) q[0];\nrz(-0.0953) q[0];\nrx(0.0069) q[1];\nrz(-0.0644) q[1];\nrx(0.1676) q[2];\nrz(-0.0031) q[2];\nrx(0.0031) q[3];\nrz(-0.151) q[3];\nrx(-0.0021) q[4];\nrz(-0.1387) q[4];\nrx(0.0033) q[5];\nrz(-0.1546) q[5];\nrx(0.0065) q[6];\nrz(-0.1521) q[6];\nrx(0.1673) q[7];\nrz(-0.0113) q[7];\nrx(0.2005) q[8];\nrz(0.0144) q[8];\nrx(-0.0011) q[0];\nrz(-0.0791) q[0];\nrx(0.0062) q[1];\nrz(-0.1125) q[1];\nrx(0.1648) q[2];\nrz(0.0021) q[2];\nrx(0.0062) q[3];\nrz(-0.1531) q[3];\nrx(0.0029) q[4];\nrz(-0.1087) q[4];\nrx(0.0086) q[5];\nrz(-0.127) q[5];\nrx(-0.001) q[6];\nrz(-0.1016) q[6];\nrx(0.1713) q[7];\nrz(0.0074) q[7];\nrx(0.2085) q[8];\nrz(0.0399) q[8];\ncrz(0.0051) q[8], q[7];\ncrz(0.0302) q[8], q[6];\ncrz(0.0027) q[8], q[5];\ncrz(0.0239) q[8], q[4];\ncrz(-0.0025) q[8], q[3];\ncrz(0.0087) q[8], q[2];\ncrz(0.0038) q[8], q[1];\ncrz(0.0331) q[8], q[0];\ncrz(-0.0242) q[7], q[8];\ncrz(0.0302) q[7], q[6];\ncrz(0.0027) q[7], q[5];\ncrz(0.0239) q[7], q[4];\ncrz(-0.0025) q[7], q[3];\ncrz(0.0087) q[7], q[2];\ncrz(0.0038) q[7], q[1];\ncrz(0.0331) q[7], q[0];\ncrz(-0.0242) q[6], q[8];\ncrz(0.0051) q[6], q[7];\ncrz(0.0027) q[6], q[5];\ncrz(0.0239) q[6], q[4];\ncrz(-0.0025) q[6], q[3];\ncrz(0.0087) q[6], q[2];\ncrz(0.0038) q[6], q[1];\ncrz(0.0331) q[6], q[0];\ncrz(-0.0242) q[5], q[8];\ncrz(0.0051) q[5], q[7];\ncrz(0.0302) q[5], q[6];\ncrz(0.0239) q[5], q[4];\ncrz(-0.0025) q[5], q[3];\ncrz(0.0087) q[5], q[2];\ncrz(0.0038) q[5], q[1];\ncrz(0.0331) q[5], q[0];\ncrz(-0.0242) q[4], q[8];\ncrz(0.0051) q[4], q[7];\ncrz(0.0302) q[4], q[6];\ncrz(0.0027) q[4], q[5];\ncrz(-0.0025) q[4], q[3];\ncrz(0.0087) q[4], q[2];\ncrz(0.0038) q[4], q[1];\ncrz(0.0331) q[4], q[0];\ncrz(-0.0242) q[3], q[8];\ncrz(0.0051) q[3], q[7];\ncrz(0.0302) q[3], q[6];\ncrz(0.0027) q[3], q[5];\ncrz(0.0239) q[3], q[4];\ncrz(0.0087) q[3], q[2];\ncrz(0.0038) q[3], q[1];\ncrz(0.0331) q[3], q[0];\ncrz(-0.0242) q[2], q[8];\ncrz(0.0051) q[2], q[7];\ncrz(0.0302) q[2], q[6];\ncrz(0.0027) q[2], q[5];\ncrz(0.0239) q[2], q[4];\ncrz(-0.0025) q[2], q[3];\ncrz(0.0038) q[2], q[1];\ncrz(0.0331) q[2], q[0];\ncrz(-0.0242) q[1], q[8];\ncrz(0.0051) q[1], q[7];\ncrz(0.0302) q[1], q[6];\ncrz(0.0027) q[1], q[5];\ncrz(0.0239) q[1], q[4];\ncrz(-0.0025) q[1], q[3];\ncrz(0.0087) q[1], q[2];\ncrz(0.0331) q[1], q[0];\ncrz(-0.0242) q[0], q[8];\ncrz(0.0051) q[0], q[7];\ncrz(0.0302) q[0], q[6];\ncrz(0.0027) q[0], q[5];\ncrz(0.0239) q[0], q[4];\ncrz(-0.0025) q[0], q[3];\ncrz(0.0087) q[0], q[2];\ncrz(0.0038) q[0], q[1];\nrx(0.0016) q[0];\nrz(0.0001) q[0];\nrx(0.0042) q[1];\nrz(0.0072) q[1];\nrx(0.1673) q[2];\nrz(0.0015) q[2];\nrx(0.0005) q[3];\nrz(0.009) q[3];\nrx(0.0045) q[4];\nrz(0.0008) q[4];\nrx(-0.0006) q[5];\nrz(0.0035) q[5];\nrx(0.0051) q[6];\nrz(0.0015) q[6];\nrx(0.1664) q[7];\nrz(0.0042) q[7];\nrx(0.2082) q[8];\nrz(0.0093) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x7) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\ncrz(x17) q[8], q[7];\ncrz(x18) q[8], q[6];\ncrz(x19) q[8], q[5];\ncrz(x20) q[8], q[4];\ncrz(x21) q[8], q[3];\ncrz(x22) q[8], q[2];\ncrz(x23) q[8], q[1];\ncrz(x24) q[8], q[0];\ncrz(x25) q[7], q[8];\ncrz(x18) q[7], q[6];\ncrz(x19) q[7], q[5];\ncrz(x20) q[7], q[4];\ncrz(x21) q[7], q[3];\ncrz(x22) q[7], q[2];\ncrz(x23) q[7], q[1];\ncrz(x24) q[7], q[0];\ncrz(x25) q[6], q[8];\ncrz(x17) q[6], q[7];\ncrz(x19) q[6], q[5];\ncrz(x20) q[6], q[4];\ncrz(x21) q[6], q[3];\ncrz(x22) q[6], q[2];\ncrz(x23) q[6], q[1];\ncrz(x24) q[6], q[0];\ncrz(x25) q[5], q[8];\ncrz(x17) q[5], q[7];\ncrz(x18) q[5], q[6];\ncrz(x20) q[5], q[4];\ncrz(x21) q[5], q[3];\ncrz(x22) q[5], q[2];\ncrz(x23) q[5], q[1];\ncrz(x24) q[5], q[0];\ncrz(x25) q[4], q[8];\ncrz(x17) q[4], q[7];\ncrz(x18) q[4], q[6];\ncrz(x19) q[4], q[5];\ncrz(x21) q[4], q[3];\ncrz(x22) q[4], q[2];\ncrz(x23) q[4], q[1];\ncrz(x24) q[4], q[0];\ncrz(x25) q[3], q[8];\ncrz(x17) q[3], q[7];\ncrz(x18) q[3], q[6];\ncrz(x19) q[3], q[5];\ncrz(x20) q[3], q[4];\ncrz(x22) q[3], q[2];\ncrz(x23) q[3], q[1];\ncrz(x24) q[3], q[0];\ncrz(x25) q[2], q[8];\ncrz(x17) q[2], q[7];\ncrz(x18) q[2], q[6];\ncrz(x19) q[2], q[5];\ncrz(x20) q[2], q[4];\ncrz(x21) q[2], q[3];\ncrz(x23) q[2], q[1];\ncrz(x24) q[2], q[0];\ncrz(x25) q[1], q[8];\ncrz(x17) q[1], q[7];\ncrz(x18) q[1], q[6];\ncrz(x19) q[1], q[5];\ncrz(x20) q[1], q[4];\ncrz(x21) q[1], q[3];\ncrz(x22) q[1], q[2];\ncrz(x24) q[1], q[0];\ncrz(x25) q[0], q[8];\ncrz(x17) q[0], q[7];\ncrz(x18) q[0], q[6];\ncrz(x19) q[0], q[5];\ncrz(x20) q[0], q[4];\ncrz(x21) q[0], q[3];\ncrz(x22) q[0], q[2];\ncrz(x23) q[0], q[1];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x0) q[4];\nrz(x34) q[4];\nrx(x8) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\nrx(x40) q[8];\nrz(x41) q[8];\nrx(x42) q[0];\nrz(x43) q[0];\nrx(x44) q[1];\nrz(x45) q[1];\nrx(x46) q[2];\nrz(x47) q[2];\nrx(x48) q[3];\nrz(x49) q[3];\nrx(x50) q[4];\nrz(x51) q[4];\nrx(x52) q[5];\nrz(x53) q[5];\nrx(x54) q[6];\nrz(x55) q[6];\nrx(x56) q[7];\nrz(x57) q[7];\nrx(x58) q[8];\nrz(x59) q[8];\ncrz(x60) q[8], q[7];\ncrz(x61) q[8], q[6];\ncrz(x62) q[8], q[5];\ncrz(x63) q[8], q[4];\ncrz(x64) q[8], q[3];\ncrz(x65) q[8], q[2];\ncrz(x66) q[8], q[1];\ncrz(x67) q[8], q[0];\ncrz(x68) q[7], q[8];\ncrz(x61) q[7], q[6];\ncrz(x62) q[7], q[5];\ncrz(x63) q[7], q[4];\ncrz(x64) q[7], q[3];\ncrz(x65) q[7], q[2];\ncrz(x66) q[7], q[1];\ncrz(x67) q[7], q[0];\ncrz(x68) q[6], q[8];\ncrz(x60) q[6], q[7];\ncrz(x62) q[6], q[5];\ncrz(x63) q[6], q[4];\ncrz(x64) q[6], q[3];\ncrz(x65) q[6], q[2];\ncrz(x66) q[6], q[1];\ncrz(x67) q[6], q[0];\ncrz(x68) q[5], q[8];\ncrz(x60) q[5], q[7];\ncrz(x61) q[5], q[6];\ncrz(x63) q[5], q[4];\ncrz(x64) q[5], q[3];\ncrz(x65) q[5], q[2];\ncrz(x66) q[5], q[1];\ncrz(x67) q[5], q[0];\ncrz(x68) q[4], q[8];\ncrz(x60) q[4], q[7];\ncrz(x61) q[4], q[6];\ncrz(x62) q[4], q[5];\ncrz(x64) q[4], q[3];\ncrz(x65) q[4], q[2];\ncrz(x66) q[4], q[1];\ncrz(x67) q[4], q[0];\ncrz(x68) q[3], q[8];\ncrz(x60) q[3], q[7];\ncrz(x61) q[3], q[6];\ncrz(x62) q[3], q[5];\ncrz(x63) q[3], q[4];\ncrz(x65) q[3], q[2];\ncrz(x66) q[3], q[1];\ncrz(x67) q[3], q[0];\ncrz(x68) q[2], q[8];\ncrz(x60) q[2], q[7];\ncrz(x61) q[2], q[6];\ncrz(x62) q[2], q[5];\ncrz(x63) q[2], q[4];\ncrz(x64) q[2], q[3];\ncrz(x66) q[2], q[1];\ncrz(x67) q[2], q[0];\ncrz(x68) q[1], q[8];\ncrz(x60) q[1], q[7];\ncrz(x61) q[1], q[6];\ncrz(x62) q[1], q[5];\ncrz(x63) q[1], q[4];\ncrz(x64) q[1], q[3];\ncrz(x65) q[1], q[2];\ncrz(x67) q[1], q[0];\ncrz(x68) q[0], q[8];\ncrz(x60) q[0], q[7];\ncrz(x61) q[0], q[6];\ncrz(x62) q[0], q[5];\ncrz(x63) q[0], q[4];\ncrz(x64) q[0], q[3];\ncrz(x65) q[0], q[2];\ncrz(x66) q[0], q[1];\nrx(x69) q[0];\nrz(x70) q[0];\nrx(x28) q[1];\nrz(x71) q[1];\nrx(x72) q[2];\nrz(x73) q[2];\nrx(x10) q[3];\nrz(x74) q[3];\nrx(x75) q[4];\nrz(x76) q[4];\nrx(x77) q[5];\nrz(x78) q[5];\nrx(x79) q[6];\nrz(x80) q[6];\nrx(x81) q[7];\nrz(x82) q[7];\nrx(x83) q[8];\nrz(x84) q[8];\nrx(x85) q[0];\nrz(x86) q[0];\nrx(x87) q[1];\nrz(x88) q[1];\nrx(x89) q[2];\nrz(x90) q[2];\nrx(x11) q[3];\nrz(x91) q[3];\nrx(x92) q[4];\nrz(x34) q[4];\nrx(x93) q[5];\nrz(x94) q[5];\nrx(x28) q[6];\nrz(x95) q[6];\nrx(x96) q[7];\nrz(x97) q[7];\nrx(x98) q[8];\nrz(x99) q[8];\ncrz(x100) q[8], q[7];\ncrz(x101) q[8], q[6];\ncrz(x102) q[8], q[5];\ncrz(x103) q[8], q[4];\ncrz(x104) q[8], q[3];\ncrz(x23) q[8], q[2];\ncrz(x105) q[8], q[1];\ncrz(x106) q[8], q[0];\ncrz(x107) q[7], q[8];\ncrz(x101) q[7], q[6];\ncrz(x102) q[7], q[5];\ncrz(x103) q[7], q[4];\ncrz(x104) q[7], q[3];\ncrz(x23) q[7], q[2];\ncrz(x105) q[7], q[1];\ncrz(x106) q[7], q[0];\ncrz(x107) q[6], q[8];\ncrz(x100) q[6], q[7];\ncrz(x102) q[6], q[5];\ncrz(x103) q[6], q[4];\ncrz(x104) q[6], q[3];\ncrz(x23) q[6], q[2];\ncrz(x105) q[6], q[1];\ncrz(x106) q[6], q[0];\ncrz(x107) q[5], q[8];\ncrz(x100) q[5], q[7];\ncrz(x101) q[5], q[6];\ncrz(x103) q[5], q[4];\ncrz(x104) q[5], q[3];\ncrz(x23) q[5], q[2];\ncrz(x105) q[5], q[1];\ncrz(x106) q[5], q[0];\ncrz(x107) q[4], q[8];\ncrz(x100) q[4], q[7];\ncrz(x101) q[4], q[6];\ncrz(x102) q[4], q[5];\ncrz(x104) q[4], q[3];\ncrz(x23) q[4], q[2];\ncrz(x105) q[4], q[1];\ncrz(x106) q[4], q[0];\ncrz(x107) q[3], q[8];\ncrz(x100) q[3], q[7];\ncrz(x101) q[3], q[6];\ncrz(x102) q[3], q[5];\ncrz(x103) q[3], q[4];\ncrz(x23) q[3], q[2];\ncrz(x105) q[3], q[1];\ncrz(x106) q[3], q[0];\ncrz(x107) q[2], q[8];\ncrz(x100) q[2], q[7];\ncrz(x101) q[2], q[6];\ncrz(x102) q[2], q[5];\ncrz(x103) q[2], q[4];\ncrz(x104) q[2], q[3];\ncrz(x105) q[2], q[1];\ncrz(x106) q[2], q[0];\ncrz(x107) q[1], q[8];\ncrz(x100) q[1], q[7];\ncrz(x101) q[1], q[6];\ncrz(x102) q[1], q[5];\ncrz(x103) q[1], q[4];\ncrz(x104) q[1], q[3];\ncrz(x23) q[1], q[2];\ncrz(x106) q[1], q[0];\ncrz(x107) q[0], q[8];\ncrz(x100) q[0], q[7];\ncrz(x101) q[0], q[6];\ncrz(x102) q[0], q[5];\ncrz(x103) q[0], q[4];\ncrz(x104) q[0], q[3];\ncrz(x23) q[0], q[2];\ncrz(x105) q[0], q[1];\nrx(x108) q[0];\nrz(x109) q[0];\nrx(x110) q[1];\nrz(x111) q[1];\nrx(x112) q[2];\nrz(x113) q[2];\nrx(x114) q[3];\nrz(x115) q[3];\nrx(x116) q[4];\nrz(x117) q[4];\nrx(x118) q[5];\nrz(x33) q[5];\nrx(x119) q[6];\nrz(x120) q[6];\nrx(x121) q[7];\nrz(x122) q[7];\nrx(x123) q[8];\nrz(x124) q[8];\nrx(x125) q[0];\nrz(x126) q[0];\nrx(x127) q[1];\nrz(x128) q[1];\nrx(x129) q[2];\nrz(x130) q[2];\nrx(x127) q[3];\nrz(x131) q[3];\nrx(x132) q[4];\nrz(x133) q[4];\nrx(x134) q[5];\nrz(x135) q[5];\nrx(x136) q[6];\nrz(x137) q[6];\nrx(x138) q[7];\nrz(x139) q[7];\nrx(x140) q[8];\nrz(x16) q[8];\ncrz(x141) q[8], q[7];\ncrz(x142) q[8], q[6];\ncrz(x143) q[8], q[5];\ncrz(x144) q[8], q[4];\ncrz(x21) q[8], q[3];\ncrz(x145) q[8], q[2];\ncrz(x146) q[8], q[1];\ncrz(x147) q[8], q[0];\ncrz(x148) q[7], q[8];\ncrz(x142) q[7], q[6];\ncrz(x143) q[7], q[5];\ncrz(x144) q[7], q[4];\ncrz(x21) q[7], q[3];\ncrz(x145) q[7], q[2];\ncrz(x146) q[7], q[1];\ncrz(x147) q[7], q[0];\ncrz(x148) q[6], q[8];\ncrz(x141) q[6], q[7];\ncrz(x143) q[6], q[5];\ncrz(x144) q[6], q[4];\ncrz(x21) q[6], q[3];\ncrz(x145) q[6], q[2];\ncrz(x146) q[6], q[1];\ncrz(x147) q[6], q[0];\ncrz(x148) q[5], q[8];\ncrz(x141) q[5], q[7];\ncrz(x142) q[5], q[6];\ncrz(x144) q[5], q[4];\ncrz(x21) q[5], q[3];\ncrz(x145) q[5], q[2];\ncrz(x146) q[5], q[1];\ncrz(x147) q[5], q[0];\ncrz(x148) q[4], q[8];\ncrz(x141) q[4], q[7];\ncrz(x142) q[4], q[6];\ncrz(x143) q[4], q[5];\ncrz(x21) q[4], q[3];\ncrz(x145) q[4], q[2];\ncrz(x146) q[4], q[1];\ncrz(x147) q[4], q[0];\ncrz(x148) q[3], q[8];\ncrz(x141) q[3], q[7];\ncrz(x142) q[3], q[6];\ncrz(x143) q[3], q[5];\ncrz(x144) q[3], q[4];\ncrz(x145) q[3], q[2];\ncrz(x146) q[3], q[1];\ncrz(x147) q[3], q[0];\ncrz(x148) q[2], q[8];\ncrz(x141) q[2], q[7];\ncrz(x142) q[2], q[6];\ncrz(x143) q[2], q[5];\ncrz(x144) q[2], q[4];\ncrz(x21) q[2], q[3];\ncrz(x146) q[2], q[1];\ncrz(x147) q[2], q[0];\ncrz(x148) q[1], q[8];\ncrz(x141) q[1], q[7];\ncrz(x142) q[1], q[6];\ncrz(x143) q[1], q[5];\ncrz(x144) q[1], q[4];\ncrz(x21) q[1], q[3];\ncrz(x145) q[1], q[2];\ncrz(x147) q[1], q[0];\ncrz(x148) q[0], q[8];\ncrz(x141) q[0], q[7];\ncrz(x142) q[0], q[6];\ncrz(x143) q[0], q[5];\ncrz(x144) q[0], q[4];\ncrz(x21) q[0], q[3];\ncrz(x145) q[0], q[2];\ncrz(x146) q[0], q[1];\nrx(x149) q[0];\nrz(x150) q[0];\nrx(x151) q[1];\nrz(x152) q[1];\nrx(x121) q[2];\nrz(x153) q[2];\nrx(x154) q[3];\nrz(x155) q[3];\nrx(x104) q[4];\nrz(x102) q[4];\nrx(x156) q[5];\nrz(x157) q[5];\nrx(x141) q[6];\nrz(x153) q[6];\nrx(x158) q[7];\nrz(x151) q[7];\nrx(x159) q[8];\nrz(x160) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["-7365051391097993006","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 3, 4, 6], [0, 2, 3, 5, 6], [0, 2, 4, 5, 7], [0, 1, 4, 7, 8], [1, 2]]}","{\"states\": [431, 127], \"expectation_value\": -0.5840158376171242, \"params\": [[0.4748], [-0.45320000000000005]], \"bitstrings\": [\"001010000\", \"110000000\"], \"total_optimization_steps\": 50, \"probabilities\": [0.005377806915839885, 0.0054421169703382215], \"optimization_time\": 4.453653335571289}","0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.05 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(4)) + 0.05 * (Z(2) @ Z(6)) + 0.1 * (Z(2) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(6)) + 0.1 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(0)) + 0.05 * (Z(8) @ Z(7)) + 0.22499999999999995 * Z(3) + 0.2250000000000001 * Z(1) + 0.325 * Z(4) + 0.22499999999999995 * Z(6) + 0.29999999999999993 * Z(0) + 0.20000000000000018 * Z(2) + 0.19999999999999996 * Z(5) + 0.19999999999999996 * Z(7) + 0.1 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-1.35, -1.35, -1.35, -1.35], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -1.3499999999999999, \"smallest_bitstrings\": [\"010001010\", \"010001000\", \"110000000\", \"110001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[1];\nrz(0.0791) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(0.0791) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(0.1266) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(0.1266) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(0.0791) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(0.0791) q[6];\ncx q[4], q[6];\ncx q[3], q[0];\nrz(0.0475) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(0.0475) q[0];\ncx q[1], q[0];\ncx q[4], q[0];\nrz(0.095) q[0];\ncx q[4], q[0];\ncx q[6], q[0];\nrz(0.0475) q[0];\ncx q[6], q[0];\ncx q[3], q[2];\nrz(0.0475) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(0.4748) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(0.0475) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(0.0475) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(0.095) q[2];\ncx q[0], q[2];\ncx q[3], q[5];\nrz(0.0475) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0475) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0475) q[5];\ncx q[6], q[5];\ncx q[0], q[5];\nrz(0.095) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.095) q[5];\ncx q[2], q[5];\ncx q[1], q[7];\nrz(0.0475) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.095) q[7];\ncx q[4], q[7];\ncx q[0], q[7];\nrz(0.095) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.0475) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.0475) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(0.0475) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(0.0475) q[8];\ncx q[4], q[8];\ncx q[0], q[8];\nrz(0.0475) q[8];\ncx q[0], q[8];\ncx q[7], q[8];\nrz(0.0475) q[8];\ncx q[7], q[8];\nrz(0.2137) q[3];\nrz(0.2137) q[1];\nrz(0.3086) q[4];\nrz(0.2137) q[6];\nrz(0.2849) q[0];\nrz(0.1899) q[2];\nrz(0.1899) q[5];\nrz(0.1899) q[7];\nrz(0.095) q[8];\nh q[0];\nrz(-0.9064) q[0];\nh q[0];\nh q[1];\nrz(-0.9064) q[1];\nh q[1];\nh q[2];\nrz(-0.9064) q[2];\nh q[2];\nh q[3];\nrz(-0.9064) q[3];\nh q[3];\nh q[4];\nrz(-0.9064) q[4];\nh q[4];\nh q[5];\nrz(-0.9064) q[5];\nh q[5];\nh q[6];\nrz(-0.9064) q[6];\nh q[6];\nh q[7];\nrz(-0.9064) q[7];\nh q[7];\nh q[8];\nrz(-0.9064) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(x2) q[0];\ncx q[1], q[0];\ncx q[4], q[0];\nrz(x3) q[0];\ncx q[4], q[0];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[3], q[2];\nrz(x2) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x4) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x2) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x2) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(x3) q[2];\ncx q[0], q[2];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[1], q[7];\nrz(x2) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x3) q[7];\ncx q[4], q[7];\ncx q[0], q[7];\nrz(x3) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(x2) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x2) q[8];\ncx q[4], q[8];\ncx q[0], q[8];\nrz(x2) q[8];\ncx q[0], q[8];\ncx q[7], q[8];\nrz(x2) q[8];\ncx q[7], q[8];\nrz(x5) q[3];\nrz(x5) q[1];\nrz(x6) q[4];\nrz(x5) q[6];\nrz(x7) q[0];\nrz(x8) q[2];\nrz(x8) q[5];\nrz(x8) q[7];\nrz(x3) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["8b5947b02692638d32f271e79fab34d5","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 8}, {\"capacity\": 4, \"source\": 1, \"target\": 2}, {\"capacity\": 4, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 4, \"source\": 3, \"target\": 5}, {\"capacity\": 6, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 3, \"target\": 7}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 4, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 5, \"target\": 7}, {\"capacity\": 3, \"source\": 5, \"target\": 8}, {\"capacity\": 4, \"source\": 5, \"target\": 9}, {\"capacity\": 3, \"source\": 6, \"target\": 4}, {\"capacity\": 4, \"source\": 6, \"target\": 10}, {\"capacity\": 6, \"source\": 7, \"target\": 5}, {\"capacity\": 6, \"source\": 7, \"target\": 8}, {\"capacity\": 2, \"source\": 8, \"target\": 2}]}","{\"states\": [0, 1022], \"expectation_value\": -17.88222069901137, \"params\": [[[-0.2647, 0.8086], [0.0028, 0.8102], [0.0041, -0.0025], [0.0029000000000000002, 0.0015], [0.002, 0.0028], [0.002, -0.0031000000000000003], [0.0029000000000000002, 0.0031000000000000003], [0.0028, 0.0025], [0.0028, 0.0025], [-0.0041, 0.0004], [-0.0025, 0.0025]], [[-0.0597, 0.0682], [0.0022, 0.8028000000000001], [0.0028, -0.0026000000000000003], [0.0027, 0.0015], [0.0021000000000000003, 0.0029000000000000002], [0.0019, 0.0034000000000000002], [0.0027, 0.0015], [0.0027, 0.0021000000000000003], [0.0028, 0.0023], [0.0036000000000000003, 0.0041], [-0.0238, 0.3786]]], \"bitstrings\": [\"11111111111\", \"10000000001\"], \"total_optimization_steps\": 80, \"probabilities\": [0.364962916859135, 0.3686870243872019], \"optimization_time\": 24.830724000930786}","-0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(4)) + -2.25 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(7)) + -1.0 * (Z(10) @ Z(6)) + 0.75 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(7)) + -2.25 * Z(9) + -0.25 * Z(0) + -1.5 * Z(3) + -0.25 * Z(1) + 3.0 * Z(4) + 1.5 * Z(8) + -1.0 * Z(6) + -0.75 * Z(7) + 2.75 * Z(5) + -1.0 * Z(10) + -0.25 * Z(2)",15,11,2,"{\"smallest_eigenvalues\": [-18.25, -18.25, -18.25, -18.25, -18.25], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -17.25, \"smallest_bitstrings\": [\"10000000000\", \"10000000001\", \"10000000010\", \"10000000011\", \"10000010111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(-0.2647) q[0];\nry(0.0028) q[1];\nry(0.0041) q[2];\nry(0.0029) q[3];\nry(0.002) q[4];\nry(0.002) q[5];\nry(0.0029) q[6];\nry(0.0028) q[7];\nry(0.0028) q[8];\nry(-0.0041) q[9];\nry(-0.0025) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.8086) q[0];\nry(0.8102) q[1];\nry(-0.0025) q[2];\nry(0.0015) q[3];\nry(0.0028) q[4];\nry(-0.0031) q[5];\nry(0.0031) q[6];\nry(0.0025) q[7];\nry(0.0025) q[8];\nry(0.0004) q[9];\nry(0.0025) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(-0.0597) q[0];\nry(0.0022) q[1];\nry(0.0028) q[2];\nry(0.0027) q[3];\nry(0.0021) q[4];\nry(0.0019) q[5];\nry(0.0027) q[6];\nry(0.0027) q[7];\nry(0.0028) q[8];\nry(0.0036) q[9];\nry(-0.0238) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0682) q[0];\nry(0.8028) q[1];\nry(-0.0026) q[2];\nry(0.0015) q[3];\nry(0.0029) q[4];\nry(0.0034) q[5];\nry(0.0015) q[6];\nry(0.0021) q[7];\nry(0.0023) q[8];\nry(0.0041) q[9];\nry(0.3786) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x4) q[5];\nry(x3) q[6];\nry(x1) q[7];\nry(x1) q[8];\nry(x5) q[9];\nry(x6) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x7) q[0];\nry(x8) q[1];\nry(x6) q[2];\nry(x9) q[3];\nry(x1) q[4];\nry(x10) q[5];\nry(x11) q[6];\nry(x12) q[7];\nry(x12) q[8];\nry(x13) q[9];\nry(x12) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x14) q[0];\nry(x15) q[1];\nry(x1) q[2];\nry(x16) q[3];\nry(x17) q[4];\nry(x18) q[5];\nry(x16) q[6];\nry(x16) q[7];\nry(x1) q[8];\nry(x19) q[9];\nry(x20) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x9) q[3];\nry(x3) q[4];\nry(x24) q[5];\nry(x9) q[6];\nry(x17) q[7];\nry(x25) q[8];\nry(x2) q[9];\nry(x26) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["-3928143730856399574","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4], \"hyperedges\": [[0, 2], [3, 4], [0, 1, 3]]}","{\"states\": [25, 18], \"expectation_value\": -0.010911528187037056, \"params\": [[-0.0419], [0.052500000000000005]], \"bitstrings\": [\"00110\", \"01101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.031936033936614955, 0.031936414608730326], \"optimization_time\": 0.6496052742004395}","0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(4) + 0.16666666666666666 * Z(1)",1,5,1,"{\"smallest_eigenvalues\": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"10001\", \"00110\", \"01101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[2], q[0];\nrz(-0.0419) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.014) q[3];\ncx q[0], q[3];\ncx q[3], q[4];\nrz(-0.0419) q[4];\ncx q[3], q[4];\ncx q[0], q[1];\nrz(-0.014) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.014) q[1];\ncx q[3], q[1];\nrz(0) q[2];\nrz(-0.014) q[0];\nrz(-0.014) q[3];\nrz(0) q[4];\nrz(-0.014) q[1];\nh q[0];\nrz(0.105) q[0];\nh q[0];\nh q[1];\nrz(0.105) q[1];\nh q[1];\nh q[2];\nrz(0.105) q[2];\nh q[2];\nh q[3];\nrz(0.105) q[3];\nh q[3];\nh q[4];\nrz(0.105) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\nrz(x2) q[2];\nrz(x1) q[0];\nrz(x1) q[3];\nrz(x2) q[4];\nrz(x1) q[1];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["bdc39d8330d1d7cee03559144a025856","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 6, \"source\": 0, \"target\": 3}, {\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 2}, {\"capacity\": 4, \"source\": 2, \"target\": 7}, {\"capacity\": 4, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 6}, {\"capacity\": 4, \"source\": 3, \"target\": 8}, {\"capacity\": 5, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 4, \"target\": 7}, {\"capacity\": 3, \"source\": 4, \"target\": 8}, {\"capacity\": 6, \"source\": 6, \"target\": 2}, {\"capacity\": 1, \"source\": 6, \"target\": 8}, {\"capacity\": 6, \"source\": 7, \"target\": 1}, {\"capacity\": 2, \"source\": 7, \"target\": 2}, {\"capacity\": 2, \"source\": 7, \"target\": 6}]}","{\"states\": [0, 1], \"expectation_value\": -18.185702258087787, \"params\": [0.0045000000000000005, -0.11380000000000001, 0.0002, -0.1384, -0.0031000000000000003, -0.2237, 0.0005, -0.2209, -0.0028, -0.22190000000000001, -0.0047, -0.22440000000000002, -0.0044, -0.21400000000000002, -0.0043, -0.2164, -0.0064, -0.1985, -0.0001, -0.2195, -0.0057, -0.1978, 0.001, -0.22210000000000002, -0.0013000000000000002, -0.2177, -0.0061, -0.22560000000000002, -0.0049, -0.2155, -0.0018000000000000002, -0.21960000000000002, 0.30010000000000003, 0.055900000000000005, 0.29910000000000003, 0.0077, -0.0043, -0.17650000000000002, -0.0025, -0.1995, -0.0029000000000000002, -0.2281, -0.0046, -0.2197, 0.0017000000000000001, -0.22610000000000002, -0.0039000000000000003, -0.2253, -0.0004, -0.22080000000000002, -0.0026000000000000003, -0.22240000000000001, -0.0035, -0.21810000000000002, -0.0008, -0.22460000000000002, -0.0058000000000000005, -0.2156, 0.00030000000000000003, -0.22060000000000002, -0.002, -0.218, -0.0013000000000000002, -0.2155, -0.0013000000000000002, -0.21080000000000002, 0.0008, -0.20450000000000002, 0.307, 0.055, 0.3042, 0.0081, 0.0008, -0.151, 0.0041, 0.0079, -0.0043, -0.18080000000000002, 0.0007, 0.0055000000000000005, -0.0039000000000000003, -0.2311, -0.0016, 0.0014, -0.0036000000000000003, -0.21480000000000002, -0.004, 0.0033, -0.007200000000000001, -0.22820000000000001, -0.0028, 0.0019, -0.0023, -0.1917, -0.0055000000000000005, 0.0077, -0.0001, -0.2152, -0.0048000000000000004, 0.0031000000000000003, -0.0082, -0.228, -0.0018000000000000002, 0.0008, 0.29810000000000003, 0.045000000000000005, 0.3023, 0.005, 0.0235, 0.0097, 0.0037, 0.012400000000000001, 0.022000000000000002, 0.0176, 0.0148, 0.0181, 0.23220000000000002, 0.026000000000000002, 0.008, 0.0083, 0.023100000000000002, 0.019100000000000002, 0.0151, 0.0179, 0.0149, 0.2325, 0.0196, 0.0081, 0.0011, 0.016800000000000002, 0.0135, 0.0109, 0.0178, 0.0128, 0.22190000000000001], \"bitstrings\": [\"111111111\", \"111111110\"], \"total_optimization_steps\": 30, \"probabilities\": [0.3810347865204413, 0.6185753573474897], \"optimization_time\": 92.49746608734131}","-1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -0.25 * Z(0) + -3.75 * Z(2) + 1.25 * Z(3) + 2.0 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 2.5 * Z(8) + -1.25 * Z(5)",5,9,3,"{\"smallest_eigenvalues\": [-22.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.0, \"smallest_bitstrings\": [\"111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0045) q[0];\nrz(-0.1138) q[0];\nrx(-0.0031) q[1];\nrz(-0.2237) q[1];\nrx(-0.0028) q[2];\nrz(-0.2219) q[2];\nrx(-0.0044) q[3];\nrz(-0.214) q[3];\nrx(-0.0064) q[4];\nrz(-0.1985) q[4];\nrx(-0.0057) q[5];\nrz(-0.1978) q[5];\nrx(-0.0013) q[6];\nrz(-0.2177) q[6];\nrx(-0.0049) q[7];\nrz(-0.2155) q[7];\nrx(0.3001) q[8];\nrz(0.0559) q[8];\ncrz(0.0181) q[8], q[7];\ncrz(0.0148) q[8], q[6];\ncrz(0.0176) q[8], q[5];\ncrz(0.022) q[8], q[4];\ncrz(0.0124) q[8], q[3];\ncrz(0.0037) q[8], q[2];\ncrz(0.0097) q[8], q[1];\ncrz(0.0235) q[8], q[0];\ncrz(0.2322) q[7], q[8];\ncrz(0.0148) q[7], q[6];\ncrz(0.0176) q[7], q[5];\ncrz(0.022) q[7], q[4];\ncrz(0.0124) q[7], q[3];\ncrz(0.0037) q[7], q[2];\ncrz(0.0097) q[7], q[1];\ncrz(0.0235) q[7], q[0];\ncrz(0.2322) q[6], q[8];\ncrz(0.0181) q[6], q[7];\ncrz(0.0176) q[6], q[5];\ncrz(0.022) q[6], q[4];\ncrz(0.0124) q[6], q[3];\ncrz(0.0037) q[6], q[2];\ncrz(0.0097) q[6], q[1];\ncrz(0.0235) q[6], q[0];\ncrz(0.2322) q[5], q[8];\ncrz(0.0181) q[5], q[7];\ncrz(0.0148) q[5], q[6];\ncrz(0.022) q[5], q[4];\ncrz(0.0124) q[5], q[3];\ncrz(0.0037) q[5], q[2];\ncrz(0.0097) q[5], q[1];\ncrz(0.0235) q[5], q[0];\ncrz(0.2322) q[4], q[8];\ncrz(0.0181) q[4], q[7];\ncrz(0.0148) q[4], q[6];\ncrz(0.0176) q[4], q[5];\ncrz(0.0124) q[4], q[3];\ncrz(0.0037) q[4], q[2];\ncrz(0.0097) q[4], q[1];\ncrz(0.0235) q[4], q[0];\ncrz(0.2322) q[3], q[8];\ncrz(0.0181) q[3], q[7];\ncrz(0.0148) q[3], q[6];\ncrz(0.0176) q[3], q[5];\ncrz(0.022) q[3], q[4];\ncrz(0.0037) q[3], q[2];\ncrz(0.0097) q[3], q[1];\ncrz(0.0235) q[3], q[0];\ncrz(0.2322) q[2], q[8];\ncrz(0.0181) q[2], q[7];\ncrz(0.0148) q[2], q[6];\ncrz(0.0176) q[2], q[5];\ncrz(0.022) q[2], q[4];\ncrz(0.0124) q[2], q[3];\ncrz(0.0097) q[2], q[1];\ncrz(0.0235) q[2], q[0];\ncrz(0.2322) q[1], q[8];\ncrz(0.0181) q[1], q[7];\ncrz(0.0148) q[1], q[6];\ncrz(0.0176) q[1], q[5];\ncrz(0.022) q[1], q[4];\ncrz(0.0124) q[1], q[3];\ncrz(0.0037) q[1], q[2];\ncrz(0.0235) q[1], q[0];\ncrz(0.2322) q[0], q[8];\ncrz(0.0181) q[0], q[7];\ncrz(0.0148) q[0], q[6];\ncrz(0.0176) q[0], q[5];\ncrz(0.022) q[0], q[4];\ncrz(0.0124) q[0], q[3];\ncrz(0.0037) q[0], q[2];\ncrz(0.0097) q[0], q[1];\nrx(0.0002) q[0];\nrz(-0.1384) q[0];\nrx(0.0005) q[1];\nrz(-0.2209) q[1];\nrx(-0.0047) q[2];\nrz(-0.2244) q[2];\nrx(-0.0043) q[3];\nrz(-0.2164) q[3];\nrx(-0.0001) q[4];\nrz(-0.2195) q[4];\nrx(0.001) q[5];\nrz(-0.2221) q[5];\nrx(-0.0061) q[6];\nrz(-0.2256) q[6];\nrx(-0.0018) q[7];\nrz(-0.2196) q[7];\nrx(0.2991) q[8];\nrz(0.0077) q[8];\nrx(-0.0043) q[0];\nrz(-0.1765) q[0];\nrx(-0.0029) q[1];\nrz(-0.2281) q[1];\nrx(0.0017) q[2];\nrz(-0.2261) q[2];\nrx(-0.0004) q[3];\nrz(-0.2208) q[3];\nrx(-0.0035) q[4];\nrz(-0.2181) q[4];\nrx(-0.0058) q[5];\nrz(-0.2156) q[5];\nrx(-0.002) q[6];\nrz(-0.218) q[6];\nrx(-0.0013) q[7];\nrz(-0.2108) q[7];\nrx(0.307) q[8];\nrz(0.055) q[8];\ncrz(0.0149) q[8], q[7];\ncrz(0.0179) q[8], q[6];\ncrz(0.0151) q[8], q[5];\ncrz(0.0191) q[8], q[4];\ncrz(0.0231) q[8], q[3];\ncrz(0.0083) q[8], q[2];\ncrz(0.008) q[8], q[1];\ncrz(0.026) q[8], q[0];\ncrz(0.2325) q[7], q[8];\ncrz(0.0179) q[7], q[6];\ncrz(0.0151) q[7], q[5];\ncrz(0.0191) q[7], q[4];\ncrz(0.0231) q[7], q[3];\ncrz(0.0083) q[7], q[2];\ncrz(0.008) q[7], q[1];\ncrz(0.026) q[7], q[0];\ncrz(0.2325) q[6], q[8];\ncrz(0.0149) q[6], q[7];\ncrz(0.0151) q[6], q[5];\ncrz(0.0191) q[6], q[4];\ncrz(0.0231) q[6], q[3];\ncrz(0.0083) q[6], q[2];\ncrz(0.008) q[6], q[1];\ncrz(0.026) q[6], q[0];\ncrz(0.2325) q[5], q[8];\ncrz(0.0149) q[5], q[7];\ncrz(0.0179) q[5], q[6];\ncrz(0.0191) q[5], q[4];\ncrz(0.0231) q[5], q[3];\ncrz(0.0083) q[5], q[2];\ncrz(0.008) q[5], q[1];\ncrz(0.026) q[5], q[0];\ncrz(0.2325) q[4], q[8];\ncrz(0.0149) q[4], q[7];\ncrz(0.0179) q[4], q[6];\ncrz(0.0151) q[4], q[5];\ncrz(0.0231) q[4], q[3];\ncrz(0.0083) q[4], q[2];\ncrz(0.008) q[4], q[1];\ncrz(0.026) q[4], q[0];\ncrz(0.2325) q[3], q[8];\ncrz(0.0149) q[3], q[7];\ncrz(0.0179) q[3], q[6];\ncrz(0.0151) q[3], q[5];\ncrz(0.0191) q[3], q[4];\ncrz(0.0083) q[3], q[2];\ncrz(0.008) q[3], q[1];\ncrz(0.026) q[3], q[0];\ncrz(0.2325) q[2], q[8];\ncrz(0.0149) q[2], q[7];\ncrz(0.0179) q[2], q[6];\ncrz(0.0151) q[2], q[5];\ncrz(0.0191) q[2], q[4];\ncrz(0.0231) q[2], q[3];\ncrz(0.008) q[2], q[1];\ncrz(0.026) q[2], q[0];\ncrz(0.2325) q[1], q[8];\ncrz(0.0149) q[1], q[7];\ncrz(0.0179) q[1], q[6];\ncrz(0.0151) q[1], q[5];\ncrz(0.0191) q[1], q[4];\ncrz(0.0231) q[1], q[3];\ncrz(0.0083) q[1], q[2];\ncrz(0.026) q[1], q[0];\ncrz(0.2325) q[0], q[8];\ncrz(0.0149) q[0], q[7];\ncrz(0.0179) q[0], q[6];\ncrz(0.0151) q[0], q[5];\ncrz(0.0191) q[0], q[4];\ncrz(0.0231) q[0], q[3];\ncrz(0.0083) q[0], q[2];\ncrz(0.008) q[0], q[1];\nrx(-0.0025) q[0];\nrz(-0.1995) q[0];\nrx(-0.0046) q[1];\nrz(-0.2197) q[1];\nrx(-0.0039) q[2];\nrz(-0.2253) q[2];\nrx(-0.0026) q[3];\nrz(-0.2224) q[3];\nrx(-0.0008) q[4];\nrz(-0.2246) q[4];\nrx(0.0003) q[5];\nrz(-0.2206) q[5];\nrx(-0.0013) q[6];\nrz(-0.2155) q[6];\nrx(0.0008) q[7];\nrz(-0.2045) q[7];\nrx(0.3042) q[8];\nrz(0.0081) q[8];\nrx(0.0008) q[0];\nrz(-0.151) q[0];\nrx(-0.0043) q[1];\nrz(-0.1808) q[1];\nrx(-0.0039) q[2];\nrz(-0.2311) q[2];\nrx(-0.0036) q[3];\nrz(-0.2148) q[3];\nrx(-0.0072) q[4];\nrz(-0.2282) q[4];\nrx(-0.0023) q[5];\nrz(-0.1917) q[5];\nrx(-0.0001) q[6];\nrz(-0.2152) q[6];\nrx(-0.0082) q[7];\nrz(-0.228) q[7];\nrx(0.2981) q[8];\nrz(0.045) q[8];\ncrz(0.0128) q[8], q[7];\ncrz(0.0178) q[8], q[6];\ncrz(0.0109) q[8], q[5];\ncrz(0.0135) q[8], q[4];\ncrz(0.0168) q[8], q[3];\ncrz(0.0011) q[8], q[2];\ncrz(0.0081) q[8], q[1];\ncrz(0.0196) q[8], q[0];\ncrz(0.2219) q[7], q[8];\ncrz(0.0178) q[7], q[6];\ncrz(0.0109) q[7], q[5];\ncrz(0.0135) q[7], q[4];\ncrz(0.0168) q[7], q[3];\ncrz(0.0011) q[7], q[2];\ncrz(0.0081) q[7], q[1];\ncrz(0.0196) q[7], q[0];\ncrz(0.2219) q[6], q[8];\ncrz(0.0128) q[6], q[7];\ncrz(0.0109) q[6], q[5];\ncrz(0.0135) q[6], q[4];\ncrz(0.0168) q[6], q[3];\ncrz(0.0011) q[6], q[2];\ncrz(0.0081) q[6], q[1];\ncrz(0.0196) q[6], q[0];\ncrz(0.2219) q[5], q[8];\ncrz(0.0128) q[5], q[7];\ncrz(0.0178) q[5], q[6];\ncrz(0.0135) q[5], q[4];\ncrz(0.0168) q[5], q[3];\ncrz(0.0011) q[5], q[2];\ncrz(0.0081) q[5], q[1];\ncrz(0.0196) q[5], q[0];\ncrz(0.2219) q[4], q[8];\ncrz(0.0128) q[4], q[7];\ncrz(0.0178) q[4], q[6];\ncrz(0.0109) q[4], q[5];\ncrz(0.0168) q[4], q[3];\ncrz(0.0011) q[4], q[2];\ncrz(0.0081) q[4], q[1];\ncrz(0.0196) q[4], q[0];\ncrz(0.2219) q[3], q[8];\ncrz(0.0128) q[3], q[7];\ncrz(0.0178) q[3], q[6];\ncrz(0.0109) q[3], q[5];\ncrz(0.0135) q[3], q[4];\ncrz(0.0011) q[3], q[2];\ncrz(0.0081) q[3], q[1];\ncrz(0.0196) q[3], q[0];\ncrz(0.2219) q[2], q[8];\ncrz(0.0128) q[2], q[7];\ncrz(0.0178) q[2], q[6];\ncrz(0.0109) q[2], q[5];\ncrz(0.0135) q[2], q[4];\ncrz(0.0168) q[2], q[3];\ncrz(0.0081) q[2], q[1];\ncrz(0.0196) q[2], q[0];\ncrz(0.2219) q[1], q[8];\ncrz(0.0128) q[1], q[7];\ncrz(0.0178) q[1], q[6];\ncrz(0.0109) q[1], q[5];\ncrz(0.0135) q[1], q[4];\ncrz(0.0168) q[1], q[3];\ncrz(0.0011) q[1], q[2];\ncrz(0.0196) q[1], q[0];\ncrz(0.2219) q[0], q[8];\ncrz(0.0128) q[0], q[7];\ncrz(0.0178) q[0], q[6];\ncrz(0.0109) q[0], q[5];\ncrz(0.0135) q[0], q[4];\ncrz(0.0168) q[0], q[3];\ncrz(0.0011) q[0], q[2];\ncrz(0.0081) q[0], q[1];\nrx(0.0041) q[0];\nrz(0.0079) q[0];\nrx(0.0007) q[1];\nrz(0.0055) q[1];\nrx(-0.0016) q[2];\nrz(0.0014) q[2];\nrx(-0.004) q[3];\nrz(0.0033) q[3];\nrx(-0.0028) q[4];\nrz(0.0019) q[4];\nrx(-0.0055) q[5];\nrz(0.0077) q[5];\nrx(-0.0048) q[6];\nrz(0.0031) q[6];\nrx(-0.0018) q[7];\nrz(0.0008) q[7];\nrx(0.3023) q[8];\nrz(0.005) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[7];\ncrz(x19) q[8], q[6];\ncrz(x20) q[8], q[5];\ncrz(x21) q[8], q[4];\ncrz(x22) q[8], q[3];\ncrz(x23) q[8], q[2];\ncrz(x24) q[8], q[1];\ncrz(x25) q[8], q[0];\ncrz(x26) q[7], q[8];\ncrz(x19) q[7], q[6];\ncrz(x20) q[7], q[5];\ncrz(x21) q[7], q[4];\ncrz(x22) q[7], q[3];\ncrz(x23) q[7], q[2];\ncrz(x24) q[7], q[1];\ncrz(x25) q[7], q[0];\ncrz(x26) q[6], q[8];\ncrz(x18) q[6], q[7];\ncrz(x20) q[6], q[5];\ncrz(x21) q[6], q[4];\ncrz(x22) q[6], q[3];\ncrz(x23) q[6], q[2];\ncrz(x24) q[6], q[1];\ncrz(x25) q[6], q[0];\ncrz(x26) q[5], q[8];\ncrz(x18) q[5], q[7];\ncrz(x19) q[5], q[6];\ncrz(x21) q[5], q[4];\ncrz(x22) q[5], q[3];\ncrz(x23) q[5], q[2];\ncrz(x24) q[5], q[1];\ncrz(x25) q[5], q[0];\ncrz(x26) q[4], q[8];\ncrz(x18) q[4], q[7];\ncrz(x19) q[4], q[6];\ncrz(x20) q[4], q[5];\ncrz(x22) q[4], q[3];\ncrz(x23) q[4], q[2];\ncrz(x24) q[4], q[1];\ncrz(x25) q[4], q[0];\ncrz(x26) q[3], q[8];\ncrz(x18) q[3], q[7];\ncrz(x19) q[3], q[6];\ncrz(x20) q[3], q[5];\ncrz(x21) q[3], q[4];\ncrz(x23) q[3], q[2];\ncrz(x24) q[3], q[1];\ncrz(x25) q[3], q[0];\ncrz(x26) q[2], q[8];\ncrz(x18) q[2], q[7];\ncrz(x19) q[2], q[6];\ncrz(x20) q[2], q[5];\ncrz(x21) q[2], q[4];\ncrz(x22) q[2], q[3];\ncrz(x24) q[2], q[1];\ncrz(x25) q[2], q[0];\ncrz(x26) q[1], q[8];\ncrz(x18) q[1], q[7];\ncrz(x19) q[1], q[6];\ncrz(x20) q[1], q[5];\ncrz(x21) q[1], q[4];\ncrz(x22) q[1], q[3];\ncrz(x23) q[1], q[2];\ncrz(x25) q[1], q[0];\ncrz(x26) q[0], q[8];\ncrz(x18) q[0], q[7];\ncrz(x19) q[0], q[6];\ncrz(x20) q[0], q[5];\ncrz(x21) q[0], q[4];\ncrz(x22) q[0], q[3];\ncrz(x23) q[0], q[2];\ncrz(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x33) q[0];\nrz(x45) q[0];\nrx(x46) q[1];\nrz(x47) q[1];\nrx(x48) q[2];\nrz(x49) q[2];\nrx(x50) q[3];\nrz(x51) q[3];\nrx(x52) q[4];\nrz(x53) q[4];\nrx(x54) q[5];\nrz(x55) q[5];\nrx(x56) q[6];\nrz(x57) q[6];\nrx(x12) q[7];\nrz(x58) q[7];\nrx(x59) q[8];\nrz(x60) q[8];\ncrz(x61) q[8], q[7];\ncrz(x62) q[8], q[6];\ncrz(x63) q[8], q[5];\ncrz(x64) q[8], q[4];\ncrz(x65) q[8], q[3];\ncrz(x66) q[8], q[2];\ncrz(x67) q[8], q[1];\ncrz(x68) q[8], q[0];\ncrz(x69) q[7], q[8];\ncrz(x62) q[7], q[6];\ncrz(x63) q[7], q[5];\ncrz(x64) q[7], q[4];\ncrz(x65) q[7], q[3];\ncrz(x66) q[7], q[2];\ncrz(x67) q[7], q[1];\ncrz(x68) q[7], q[0];\ncrz(x69) q[6], q[8];\ncrz(x61) q[6], q[7];\ncrz(x63) q[6], q[5];\ncrz(x64) q[6], q[4];\ncrz(x65) q[6], q[3];\ncrz(x66) q[6], q[2];\ncrz(x67) q[6], q[1];\ncrz(x68) q[6], q[0];\ncrz(x69) q[5], q[8];\ncrz(x61) q[5], q[7];\ncrz(x62) q[5], q[6];\ncrz(x64) q[5], q[4];\ncrz(x65) q[5], q[3];\ncrz(x66) q[5], q[2];\ncrz(x67) q[5], q[1];\ncrz(x68) q[5], q[0];\ncrz(x69) q[4], q[8];\ncrz(x61) q[4], q[7];\ncrz(x62) q[4], q[6];\ncrz(x63) q[4], q[5];\ncrz(x65) q[4], q[3];\ncrz(x66) q[4], q[2];\ncrz(x67) q[4], q[1];\ncrz(x68) q[4], q[0];\ncrz(x69) q[3], q[8];\ncrz(x61) q[3], q[7];\ncrz(x62) q[3], q[6];\ncrz(x63) q[3], q[5];\ncrz(x64) q[3], q[4];\ncrz(x66) q[3], q[2];\ncrz(x67) q[3], q[1];\ncrz(x68) q[3], q[0];\ncrz(x69) q[2], q[8];\ncrz(x61) q[2], q[7];\ncrz(x62) q[2], q[6];\ncrz(x63) q[2], q[5];\ncrz(x64) q[2], q[4];\ncrz(x65) q[2], q[3];\ncrz(x67) q[2], q[1];\ncrz(x68) q[2], q[0];\ncrz(x69) q[1], q[8];\ncrz(x61) q[1], q[7];\ncrz(x62) q[1], q[6];\ncrz(x63) q[1], q[5];\ncrz(x64) q[1], q[4];\ncrz(x65) q[1], q[3];\ncrz(x66) q[1], q[2];\ncrz(x68) q[1], q[0];\ncrz(x69) q[0], q[8];\ncrz(x61) q[0], q[7];\ncrz(x62) q[0], q[6];\ncrz(x63) q[0], q[5];\ncrz(x64) q[0], q[4];\ncrz(x65) q[0], q[3];\ncrz(x66) q[0], q[2];\ncrz(x67) q[0], q[1];\nrx(x70) q[0];\nrz(x71) q[0];\nrx(x72) q[1];\nrz(x73) q[1];\nrx(x74) q[2];\nrz(x75) q[2];\nrx(x76) q[3];\nrz(x77) q[3];\nrx(x78) q[4];\nrz(x79) q[4];\nrx(x80) q[5];\nrz(x81) q[5];\nrx(x12) q[6];\nrz(x15) q[6];\nrx(x82) q[7];\nrz(x83) q[7];\nrx(x84) q[8];\nrz(x85) q[8];\nrx(x82) q[0];\nrz(x86) q[0];\nrx(x33) q[1];\nrz(x87) q[1];\nrx(x74) q[2];\nrz(x88) q[2];\nrx(x89) q[3];\nrz(x90) q[3];\nrx(x91) q[4];\nrz(x92) q[4];\nrx(x93) q[5];\nrz(x94) q[5];\nrx(x35) q[6];\nrz(x95) q[6];\nrx(x96) q[7];\nrz(x97) q[7];\nrx(x98) q[8];\nrz(x99) q[8];\ncrz(x100) q[8], q[7];\ncrz(x101) q[8], q[6];\ncrz(x102) q[8], q[5];\ncrz(x103) q[8], q[4];\ncrz(x104) q[8], q[3];\ncrz(x105) q[8], q[2];\ncrz(x85) q[8], q[1];\ncrz(x106) q[8], q[0];\ncrz(x107) q[7], q[8];\ncrz(x101) q[7], q[6];\ncrz(x102) q[7], q[5];\ncrz(x103) q[7], q[4];\ncrz(x104) q[7], q[3];\ncrz(x105) q[7], q[2];\ncrz(x85) q[7], q[1];\ncrz(x106) q[7], q[0];\ncrz(x107) q[6], q[8];\ncrz(x100) q[6], q[7];\ncrz(x102) q[6], q[5];\ncrz(x103) q[6], q[4];\ncrz(x104) q[6], q[3];\ncrz(x105) q[6], q[2];\ncrz(x85) q[6], q[1];\ncrz(x106) q[6], q[0];\ncrz(x107) q[5], q[8];\ncrz(x100) q[5], q[7];\ncrz(x101) q[5], q[6];\ncrz(x103) q[5], q[4];\ncrz(x104) q[5], q[3];\ncrz(x105) q[5], q[2];\ncrz(x85) q[5], q[1];\ncrz(x106) q[5], q[0];\ncrz(x107) q[4], q[8];\ncrz(x100) q[4], q[7];\ncrz(x101) q[4], q[6];\ncrz(x102) q[4], q[5];\ncrz(x104) q[4], q[3];\ncrz(x105) q[4], q[2];\ncrz(x85) q[4], q[1];\ncrz(x106) q[4], q[0];\ncrz(x107) q[3], q[8];\ncrz(x100) q[3], q[7];\ncrz(x101) q[3], q[6];\ncrz(x102) q[3], q[5];\ncrz(x103) q[3], q[4];\ncrz(x105) q[3], q[2];\ncrz(x85) q[3], q[1];\ncrz(x106) q[3], q[0];\ncrz(x107) q[2], q[8];\ncrz(x100) q[2], q[7];\ncrz(x101) q[2], q[6];\ncrz(x102) q[2], q[5];\ncrz(x103) q[2], q[4];\ncrz(x104) q[2], q[3];\ncrz(x85) q[2], q[1];\ncrz(x106) q[2], q[0];\ncrz(x107) q[1], q[8];\ncrz(x100) q[1], q[7];\ncrz(x101) q[1], q[6];\ncrz(x102) q[1], q[5];\ncrz(x103) q[1], q[4];\ncrz(x104) q[1], q[3];\ncrz(x105) q[1], q[2];\ncrz(x106) q[1], q[0];\ncrz(x107) q[0], q[8];\ncrz(x100) q[0], q[7];\ncrz(x101) q[0], q[6];\ncrz(x102) q[0], q[5];\ncrz(x103) q[0], q[4];\ncrz(x104) q[0], q[3];\ncrz(x105) q[0], q[2];\ncrz(x85) q[0], q[1];\nrx(x108) q[0];\nrz(x109) q[0];\nrx(x110) q[1];\nrz(x111) q[1];\nrx(x112) q[2];\nrz(x113) q[2];\nrx(x114) q[3];\nrz(x115) q[3];\nrx(x4) q[4];\nrz(x116) q[4];\nrx(x117) q[5];\nrz(x44) q[5];\nrx(x118) q[6];\nrz(x119) q[6];\nrx(x41) q[7];\nrz(x82) q[7];\nrx(x120) q[8];\nrz(x121) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["-8339275826226481796","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4], \"hyperedges\": [[0, 1, 2], [1, 2, 4], [3, 4]]}","{\"states\": [21, 25], \"expectation_value\": -0.02808304336988452, \"params\": [[0.07250000000000001], [-0.08080000000000001]], \"bitstrings\": [\"01010\", \"00110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.03270983111851876, 0.03270983111851878], \"optimization_time\": 8.220210790634155}","0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * Z(1) + 0.16666666666666666 * Z(0) + 0.3333333333333333 * Z(2) + 0.16666666666666663 * Z(4) + 0.0 * Z(3)",1,5,1,"{\"smallest_eigenvalues\": [-1.1666666666666665, -1.1666666666666665, -1.1666666666666665], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -0.8333333333333336, \"smallest_bitstrings\": [\"10001\", \"01010\", \"00110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(0.0242) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0483) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0242) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.0242) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0242) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(0.0725) q[3];\ncx q[4], q[3];\nrz(0.0483) q[1];\nrz(0.0242) q[0];\nrz(0.0483) q[2];\nrz(0.0242) q[4];\nrz(0) q[3];\nh q[0];\nrz(-0.1616) q[0];\nh q[0];\nh q[1];\nrz(-0.1616) q[1];\nh q[1];\nh q[2];\nrz(-0.1616) q[2];\nh q[2];\nh q[3];\nrz(-0.1616) q[3];\nh q[3];\nh q[4];\nrz(-0.1616) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\nrz(x1) q[1];\nrz(x0) q[0];\nrz(x1) q[2];\nrz(x0) q[4];\nrz(x3) q[3];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["5a8eac0760a558d4174437be478ec0aa","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}]}","{\"states\": [5, 21], \"expectation_value\": -2.0719430976342794, \"params\": null, \"bitstrings\": [\"11010\", \"01010\"], \"total_optimization_steps\": 28, \"probabilities\": [0.13262953595047108, 0.6775037254469125], \"optimization_time\": 15.903728723526001}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2)",1,5,2,"{\"smallest_eigenvalues\": [-2.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"01010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) q[0];\ncry(-1.0398) q[2], q[3];\ncry(-1.0398) q[4], q[1];\nry(0.7022) q[4];\nry(0.7022) q[2];\nry(-0.4578) q[3];\nry(-0.4578) q[1];\ncry(0.4586) q[4], q[2];\ncry(0.4522) q[2], q[4];\ncry(-0.351) q[2], q[1];\ncry(-0.3446) q[4], q[3];\ncry(0.5428) q[4], q[0];\ncry(1.6279) q[2], q[0];\ncry(-0.1415) q[0], q[3];\ncry(-0.1451) q[0], q[1];\ncry(0.2402) q[0], q[4];\ncry(0.1093) q[0], q[2];\ncry(-0.1461) q[1], q[0];\ncry(0.0935) q[3], q[4];\ncry(-0.0779) q[3], q[0];\ncry(0.063) q[1], q[2];\ncry(-0.061) q[1], q[4];\ncry(-0.0433) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\ncry(-0.0779) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\ncry(-0.0779) q[3], q[0];\\ncry(0.063) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\ncry(-0.0779) q[3], q[0];\\ncry(0.063) q[1], q[2];\\ncry(-0.061) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\ncry(-0.0779) q[3], q[0];\\ncry(0.063) q[1], q[2];\\ncry(-0.061) q[1], q[4];\\ncry(-0.0433) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\ncry(-0.0779) q[3], q[0];\\ncry(0.063) q[1], q[2];\\ncry(-0.061) q[1], q[4];\\ncry(-0.0433) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\ncry(-0.0779) q[3], q[0];\\ncry(0.063) q[1], q[2];\\ncry(-0.061) q[1], q[4];\\ncry(-0.0433) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\ncry(-0.0779) q[3], q[0];\\ncry(0.063) q[1], q[2];\\ncry(-0.061) q[1], q[4];\\ncry(-0.0433) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\ncry(-0.0779) q[3], q[0];\\ncry(0.063) q[1], q[2];\\ncry(-0.061) q[1], q[4];\\ncry(-0.0433) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\ncry(-1.0398) q[2], q[3];\\ncry(-1.0398) q[4], q[1];\\nry(0.7022) q[4];\\nry(0.7022) q[2];\\nry(-0.4578) q[3];\\nry(-0.4578) q[1];\\ncry(0.4586) q[4], q[2];\\ncry(0.4522) q[2], q[4];\\ncry(-0.351) q[2], q[1];\\ncry(-0.3446) q[4], q[3];\\ncry(0.5428) q[4], q[0];\\ncry(1.6279) q[2], q[0];\\ncry(-0.1415) q[0], q[3];\\ncry(-0.1451) q[0], q[1];\\ncry(0.2402) q[0], q[4];\\ncry(0.1093) q[0], q[2];\\ncry(-0.1461) q[1], q[0];\\ncry(0.0935) q[3], q[4];\\ncry(-0.0779) q[3], q[0];\\ncry(0.063) q[1], q[2];\\ncry(-0.061) q[1], q[4];\\ncry(-0.0433) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.5035, 0.2527, 0.2526, 0.2473, 0.2469, 0.1906, 0.1903, 0.1764, 0.1887, 0.1591, 0.1559, 0.0472, 0.2401, 0.1504, 0.1453, 0.0983, 0.0449, 0.0311, 0.0199, 0.0176, 0.0134, 0.0134, 0.0095, 0.0053, 0.005, 0.004, 0.0038, 0.0028]}"]
["7282702479489441897","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 2], [3, 5], [4, 7], [5, 6], [0, 5], [5, 7], [2, 3], [4, 6], [2, 4], [3, 4], [1, 4], [0, 4], [2, 5], [0, 7], [3, 6]]}","{\"states\": [92, 76], \"expectation_value\": -0.3712488020548136, \"params\": [0.6985, -0.0009000000000000001, 0.7002, 0.0037, 0.7043, 0.0056, 0.6938000000000001, 0.0048000000000000004, 0.7019000000000001, 0.0033, 0.6905, 0.0086, 0.7037, -0.0021000000000000003, 0.7011000000000001, 0.0081, 0.7097, -0.0006000000000000001, 0.7035, 0.0059, 0.7041000000000001, 0.0025, 0.7014, 0.004200000000000001, 0.6947, -0.0043, 0.6888000000000001, 0.0036000000000000003, 0.7000000000000001, 0.0012000000000000001, 0.7021000000000001, 0.0004, -0.2785, 0.0843, -0.3159, -0.14980000000000002, 0.6849000000000001, 0.6831, -0.49200000000000005, -0.4857], \"bitstrings\": [\"10100011\", \"10110011\"], \"total_optimization_steps\": 70, \"probabilities\": [0.04964166261170989, 0.052834785916288665], \"optimization_time\": 13.850427627563477}","0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(0)",6,8,1,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 10, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"00001100\", \"01011100\", \"00011100\", \"01001100\", \"10100011\", \"11100011\", \"00101100\", \"10110011\", \"11010011\", \"11110011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.6985) q[0];\nrz(-0.0009) q[0];\nrx(0.7043) q[1];\nrz(0.0056) q[1];\nrx(0.7019) q[2];\nrz(0.0033) q[2];\nrx(0.7037) q[3];\nrz(-0.0021) q[3];\nrx(0.7097) q[4];\nrz(-0.0006) q[4];\nrx(0.7041) q[5];\nrz(0.0025) q[5];\nrx(0.6947) q[6];\nrz(-0.0043) q[6];\nrx(0.7) q[7];\nrz(0.0012) q[7];\ncrx(-0.492) q[7], q[6];\ncrx(0.6831) q[7], q[5];\ncrx(0.6849) q[7], q[4];\ncrx(-0.1498) q[7], q[3];\ncrx(-0.3159) q[7], q[2];\ncrx(0.0843) q[7], q[1];\ncrx(-0.2785) q[7], q[0];\ncrx(-0.4857) q[6], q[7];\ncrx(0.6831) q[6], q[5];\ncrx(0.6849) q[6], q[4];\ncrx(-0.1498) q[6], q[3];\ncrx(-0.3159) q[6], q[2];\ncrx(0.0843) q[6], q[1];\ncrx(-0.2785) q[6], q[0];\ncrx(-0.4857) q[5], q[7];\ncrx(-0.492) q[5], q[6];\ncrx(0.6849) q[5], q[4];\ncrx(-0.1498) q[5], q[3];\ncrx(-0.3159) q[5], q[2];\ncrx(0.0843) q[5], q[1];\ncrx(-0.2785) q[5], q[0];\ncrx(-0.4857) q[4], q[7];\ncrx(-0.492) q[4], q[6];\ncrx(0.6831) q[4], q[5];\ncrx(-0.1498) q[4], q[3];\ncrx(-0.3159) q[4], q[2];\ncrx(0.0843) q[4], q[1];\ncrx(-0.2785) q[4], q[0];\ncrx(-0.4857) q[3], q[7];\ncrx(-0.492) q[3], q[6];\ncrx(0.6831) q[3], q[5];\ncrx(0.6849) q[3], q[4];\ncrx(-0.3159) q[3], q[2];\ncrx(0.0843) q[3], q[1];\ncrx(-0.2785) q[3], q[0];\ncrx(-0.4857) q[2], q[7];\ncrx(-0.492) q[2], q[6];\ncrx(0.6831) q[2], q[5];\ncrx(0.6849) q[2], q[4];\ncrx(-0.1498) q[2], q[3];\ncrx(0.0843) q[2], q[1];\ncrx(-0.2785) q[2], q[0];\ncrx(-0.4857) q[1], q[7];\ncrx(-0.492) q[1], q[6];\ncrx(0.6831) q[1], q[5];\ncrx(0.6849) q[1], q[4];\ncrx(-0.1498) q[1], q[3];\ncrx(-0.3159) q[1], q[2];\ncrx(-0.2785) q[1], q[0];\ncrx(-0.4857) q[0], q[7];\ncrx(-0.492) q[0], q[6];\ncrx(0.6831) q[0], q[5];\ncrx(0.6849) q[0], q[4];\ncrx(-0.1498) q[0], q[3];\ncrx(-0.3159) q[0], q[2];\ncrx(0.0843) q[0], q[1];\nrx(0.7002) q[0];\nrz(0.0037) q[0];\nrx(0.6938) q[1];\nrz(0.0048) q[1];\nrx(0.6905) q[2];\nrz(0.0086) q[2];\nrx(0.7011) q[3];\nrz(0.0081) q[3];\nrx(0.7035) q[4];\nrz(0.0059) q[4];\nrx(0.7014) q[5];\nrz(0.0042) q[5];\nrx(0.6888) q[6];\nrz(0.0036) q[6];\nrx(0.7021) q[7];\nrz(0.0004) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[7], q[5];\ncrx(x18) q[7], q[4];\ncrx(x19) q[7], q[3];\ncrx(x20) q[7], q[2];\ncrx(x21) q[7], q[1];\ncrx(x22) q[7], q[0];\ncrx(x23) q[6], q[7];\ncrx(x17) q[6], q[5];\ncrx(x18) q[6], q[4];\ncrx(x19) q[6], q[3];\ncrx(x20) q[6], q[2];\ncrx(x21) q[6], q[1];\ncrx(x22) q[6], q[0];\ncrx(x23) q[5], q[7];\ncrx(x16) q[5], q[6];\ncrx(x18) q[5], q[4];\ncrx(x19) q[5], q[3];\ncrx(x20) q[5], q[2];\ncrx(x21) q[5], q[1];\ncrx(x22) q[5], q[0];\ncrx(x23) q[4], q[7];\ncrx(x16) q[4], q[6];\ncrx(x17) q[4], q[5];\ncrx(x19) q[4], q[3];\ncrx(x20) q[4], q[2];\ncrx(x21) q[4], q[1];\ncrx(x22) q[4], q[0];\ncrx(x23) q[3], q[7];\ncrx(x16) q[3], q[6];\ncrx(x17) q[3], q[5];\ncrx(x18) q[3], q[4];\ncrx(x20) q[3], q[2];\ncrx(x21) q[3], q[1];\ncrx(x22) q[3], q[0];\ncrx(x23) q[2], q[7];\ncrx(x16) q[2], q[6];\ncrx(x17) q[2], q[5];\ncrx(x18) q[2], q[4];\ncrx(x19) q[2], q[3];\ncrx(x21) q[2], q[1];\ncrx(x22) q[2], q[0];\ncrx(x23) q[1], q[7];\ncrx(x16) q[1], q[6];\ncrx(x17) q[1], q[5];\ncrx(x18) q[1], q[4];\ncrx(x19) q[1], q[3];\ncrx(x20) q[1], q[2];\ncrx(x22) q[1], q[0];\ncrx(x23) q[0], q[7];\ncrx(x16) q[0], q[6];\ncrx(x17) q[0], q[5];\ncrx(x18) q[0], q[4];\ncrx(x19) q[0], q[3];\ncrx(x20) q[0], q[2];\ncrx(x21) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["-2786189512650659487","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 3, 4], [0, 2, 3, 5, 6], [0, 1, 3, 6], [0, 2, 4, 6], [0, 1, 2, 6]]}","{\"states\": [61, 63], \"expectation_value\": -0.7540861892588124, \"params\": [[-0.45430000000000004], [0.4481]], \"bitstrings\": [\"1000010\", \"1000000\"], \"total_optimization_steps\": 50, \"probabilities\": [0.02059404973457297, 0.021581423146866847], \"optimization_time\": 1.8453149795532227}","0.3 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.3 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.3916666666666668 * Z(3) + 0.6416666666666668 * Z(0) + 0.29166666666666663 * Z(4) + 0.3500000000000001 * Z(2) + 0.1 * Z(5) + 0.4750000000000001 * Z(6) + 0.25 * Z(1)",1,7,1,"{\"smallest_eigenvalues\": [-1.2833333333333337, -1.2833333333333337], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.2833333333333334, \"smallest_bitstrings\": [\"1000000\", \"0100110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(-0.2726) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(-0.1514) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(-0.2272) q[4];\ncx q[0], q[4];\ncx q[3], q[2];\nrz(-0.0454) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(-0.1969) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(-0.0757) q[2];\ncx q[4], q[2];\ncx q[3], q[5];\nrz(-0.0454) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(-0.0454) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0454) q[5];\ncx q[2], q[5];\ncx q[3], q[6];\nrz(-0.1211) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(-0.2726) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(-0.0757) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(-0.1969) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0454) q[6];\ncx q[5], q[6];\ncx q[3], q[1];\nrz(-0.0757) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.1514) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(-0.0757) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(-0.1514) q[1];\ncx q[6], q[1];\nrz(-0.3559) q[3];\nrz(-0.583) q[0];\nrz(-0.265) q[4];\nrz(-0.318) q[2];\nrz(-0.0909) q[5];\nrz(-0.4316) q[6];\nrz(-0.2272) q[1];\nh q[0];\nrz(0.8962) q[0];\nh q[0];\nh q[1];\nrz(0.8962) q[1];\nh q[1];\nh q[2];\nrz(0.8962) q[2];\nh q[2];\nh q[3];\nrz(0.8962) q[3];\nh q[3];\nh q[4];\nrz(0.8962) q[4];\nh q[4];\nh q[5];\nrz(0.8962) q[5];\nh q[5];\nh q[6];\nrz(0.8962) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[3], q[2];\nrz(x3) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(x5) q[2];\ncx q[4], q[2];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[3], q[6];\nrz(x6) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x5) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(x4) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[3], q[1];\nrz(x5) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x5) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(x1) q[1];\ncx q[6], q[1];\nrz(x7) q[3];\nrz(x8) q[0];\nrz(x9) q[4];\nrz(x10) q[2];\nrz(x11) q[5];\nrz(x12) q[6];\nrz(x2) q[1];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["55afca42a930d1b0fc35b8332f4b681b","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 0, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 9}, {\"weight\": 19, \"source\": 0, \"target\": 11}, {\"weight\": 3, \"source\": 1, \"target\": 10}, {\"weight\": 4, \"source\": 2, \"target\": 11}, {\"weight\": 17, \"source\": 3, \"target\": 10}, {\"weight\": 14, \"source\": 3, \"target\": 11}, {\"weight\": 20, \"source\": 4, \"target\": 11}, {\"weight\": 17, \"source\": 7, \"target\": 11}]}","{\"states\": [159, 143], \"expectation_value\": -82.96741072950273, \"params\": [0.9995, 0.16670000000000001, -0.0151, 0.529, 0.0024000000000000002, 0.6103000000000001, 0.5112, 0.24300000000000002, 0.9925, 0.0115, 0.9752000000000001, 0.0063, 0.9846, 0.002, 0.9871000000000001, -0.0034000000000000002, 0.9971000000000001, 0.18860000000000002, -0.020300000000000002, 0.5301, 0.0049, 0.606, 0.5166000000000001, 0.24250000000000002, 0.9933000000000001, -0.0264, 0.9780000000000001, -0.0009000000000000001, 0.9923000000000001, 0.0004, 0.9903000000000001, 0.0041, 0.9965, 0.0041, -0.0178, 0.007200000000000001, 0.0023, 0.0064, 0.5147, 0.0081, 0.9943000000000001, 0.005200000000000001, 0.9769000000000001, 0.006, 0.9864, 0.0058000000000000005, 0.9833000000000001, 0.0016, -0.0099, 0.3231, -0.49710000000000004, -0.5720000000000001, -0.21250000000000002, -0.0031000000000000003, 0.0037, 0.0046, 0.008, 0.3806, -0.4308, -0.4666, 0.1526, -0.0035, -0.006900000000000001, 0.0028, 0.0035, 0.0027, 0.0006000000000000001, 0.0082, 0.0038, 0.0057, 0.0098, 0.0], \"bitstrings\": [\"01100000\", \"01110000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.4406485277374549, 0.5201560023174624], \"optimization_time\": 45.73205828666687}","6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(2) @ Z(4)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 29.0 * Z(0) + -1.5 * Z(1) + 15.0 * Z(3) + 8.5 * Z(4) + -5.0 * Z(2) + 26.5 * Z(5) + 23.0 * Z(6) + 21.5 * Z(7)",18,8,3,"{\"smallest_eigenvalues\": [-93.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -83.5, \"smallest_bitstrings\": [\"01110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.9995) q[0];\nrz(0.1667) q[0];\nrx(-0.0151) q[1];\nrz(0.529) q[1];\nrx(0.0024) q[2];\nrz(0.6103) q[2];\nrx(0.5112) q[3];\nrz(0.243) q[3];\nrx(0.9925) q[4];\nrz(0.0115) q[4];\nrx(0.9752) q[5];\nrz(0.0063) q[5];\nrx(0.9846) q[6];\nrz(0.002) q[6];\nrx(0.9871) q[7];\nrz(-0.0034) q[7];\ncrz(-0.0099) q[7], q[0];\ncrz(0.0046) q[6], q[7];\ncrz(0.0037) q[5], q[6];\ncrz(-0.0031) q[4], q[5];\ncrz(-0.2125) q[3], q[4];\ncrz(-0.572) q[2], q[3];\ncrz(-0.4971) q[1], q[2];\ncrz(0.3231) q[0], q[1];\nrx(0.9971) q[0];\nrz(0.1886) q[0];\nrx(-0.0203) q[1];\nrz(0.5301) q[1];\nrx(0.0049) q[2];\nrz(0.606) q[2];\nrx(0.5166) q[3];\nrz(0.2425) q[3];\nrx(0.9933) q[4];\nrz(-0.0264) q[4];\nrx(0.978) q[5];\nrz(-0.0009) q[5];\nrx(0.9923) q[6];\nrz(0.0004) q[6];\nrx(0.9903) q[7];\nrz(0.0041) q[7];\ncrz(0.008) q[7], q[0];\ncrz(0.0028) q[6], q[7];\ncrz(-0.0069) q[5], q[6];\ncrz(-0.0035) q[4], q[5];\ncrz(0.1526) q[3], q[4];\ncrz(-0.4666) q[2], q[3];\ncrz(-0.4308) q[1], q[2];\ncrz(0.3806) q[0], q[1];\nrx(0.9965) q[0];\nrz(0.0041) q[0];\nrx(-0.0178) q[1];\nrz(0.0072) q[1];\nrx(0.0023) q[2];\nrz(0.0064) q[2];\nrx(0.5147) q[3];\nrz(0.0081) q[3];\nrx(0.9943) q[4];\nrz(0.0052) q[4];\nrx(0.9769) q[5];\nrz(0.006) q[5];\nrx(0.9864) q[6];\nrz(0.0058) q[6];\nrx(0.9833) q[7];\nrz(0.0016) q[7];\ncrz(0.0035) q[7], q[0];\ncrz(0) q[6], q[7];\ncrz(0.0098) q[5], q[6];\ncrz(0.0057) q[4], q[5];\ncrz(0.0038) q[3], q[4];\ncrz(0.0082) q[2], q[3];\ncrz(0.0006) q[1], q[2];\ncrz(0.0027) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[0];\ncrz(x17) q[6], q[7];\ncrz(x18) q[5], q[6];\ncrz(x19) q[4], q[5];\ncrz(x20) q[3], q[4];\ncrz(x21) q[2], q[3];\ncrz(x22) q[1], q[2];\ncrz(x23) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\ncrz(x40) q[7], q[0];\ncrz(x41) q[6], q[7];\ncrz(x42) q[5], q[6];\ncrz(x43) q[4], q[5];\ncrz(x44) q[3], q[4];\ncrz(x45) q[2], q[3];\ncrz(x46) q[1], q[2];\ncrz(x47) q[0], q[1];\nrx(x48) q[0];\nrz(x39) q[0];\nrx(x49) q[1];\nrz(x50) q[1];\nrx(x51) q[2];\nrz(x52) q[2];\nrx(x53) q[3];\nrz(x54) q[3];\nrx(x55) q[4];\nrz(x56) q[4];\nrx(x57) q[5];\nrz(x58) q[5];\nrx(x59) q[6];\nrz(x60) q[6];\nrx(x61) q[7];\nrz(x62) q[7];\ncrz(x63) q[7], q[0];\ncrz(x64) q[6], q[7];\ncrz(x65) q[5], q[6];\ncrz(x66) q[4], q[5];\ncrz(x67) q[3], q[4];\ncrz(x68) q[2], q[3];\ncrz(x69) q[1], q[2];\ncrz(x70) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \\\"right_nodes\\\": [9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["-7409011384284673023","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[3, 4, 5, 6], [0, 2, 3, 6], [0, 1, 2, 5], [0, 2, 5, 6], [1, 2, 3, 4], [0, 3, 5]]}","{\"states\": [121, 59], \"expectation_value\": -1.5590422005206577, \"params\": null, \"bitstrings\": [\"0000110\", \"1000100\"], \"total_optimization_steps\": 36, \"probabilities\": [0.022284358843025646, 0.9234028490383865], \"optimization_time\": 37.73023962974548}","0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.24999999999999994 * Z(4) + 0.5416666666666666 * Z(3) + 0.5416666666666666 * Z(5) + 0.3749999999999999 * Z(6) + 0.5416666666666666 * Z(0) + 0.4999999999999999 * Z(2) + 0.25 * Z(1)",1,7,1,"{\"smallest_eigenvalues\": [-1.5833333333333333], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.416666666666667, \"smallest_bitstrings\": [\"1000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4745) q[3];\nry(1.2307) q[2];\ncry(-0.6474) q[5], q[0];\nry(0.8245) q[5];\ncry(-0.5859) q[2], q[0];\ncry(0.5086) q[3], q[5];\ncry(-0.4263) q[3], q[0];\ncry(0.2804) q[3], q[2];\ncry(-0.3884) q[6], q[4];\ncry(0.1689) q[2], q[5];\ncry(-0.3535) q[1], q[4];\nry(0.3199) q[6];\ncry(-0.3611) q[5], q[4];\ncry(0.3706) q[2], q[6];\nry(-0.2023) q[0];\ncry(-0.3016) q[3], q[4];\ncry(0.3332) q[3], q[6];\nry(0.342) q[1];\ncry(-0.244) q[2], q[4];\ncry(0.3327) q[3], q[1];\ncry(0.2576) q[2], q[1];\ncry(0.2272) q[5], q[6];\nry(-0.1591) q[4];\ncry(0.2022) q[6], q[1];\ncry(0.14) q[1], q[6];\ncry(0.1368) q[5], q[1];\ncry(0.0728) q[2], q[3];\ncry(-0.0313) q[6], q[0];\ncry(0.0491) q[6], q[5];\ncry(0.0287) q[5], q[2];\ncry(-0.0116) q[1], q[0];\ncry(0.0147) q[1], q[5];\ncry(0.0139) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":26061,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nry(1.2307) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nry(1.2307) q[2];\\ncry(-0.6474) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nry(1.2307) q[2];\\ncry(-0.6474) q[5], q[0];\\nry(0.8245) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nry(1.2307) q[2];\\ncry(-0.6474) q[5], q[0];\\nry(0.8245) q[5];\\ncry(-0.5859) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nry(1.2307) q[2];\\ncry(-0.6474) q[5], q[0];\\nry(0.8245) q[5];\\ncry(-0.5859) q[2], q[0];\\ncry(0.5086) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nry(1.2307) q[2];\\ncry(-0.6474) q[5], q[0];\\nry(0.8245) q[5];\\ncry(-0.5859) q[2], q[0];\\ncry(0.5086) q[3], q[5];\\ncry(-0.4263) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nry(1.2307) q[2];\\ncry(-0.6474) q[5], q[0];\\nry(0.8245) q[5];\\ncry(-0.5859) q[2], q[0];\\ncry(0.5086) q[3], q[5];\\ncry(-0.4263) q[3], q[0];\\ncry(0.2804) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nry(1.2307) q[2];\\ncry(-0.6474) q[5], q[0];\\nry(0.8245) q[5];\\ncry(-0.5859) q[2], q[0];\\ncry(0.5086) q[3], q[5];\\ncry(-0.4263) q[3], q[0];\\ncry(0.2804) q[3], q[2];\\ncry(-0.3884) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4745) q[3];\\nry(1.2307) q[2];\\ncry(-0.6474) q[5], q[0];\\nry(0.8245) q[5];\\ncry(-0.5859) q[2], q[0];\\ncry(0.5086) q[3], q[5];\\ncry(-0.4263) q[3], q[0];\\ncry(0.2804) q[3], q[2];\\ncry(-0.3884) q[6], q[4];\\ncry(0.1689) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\","}}]
["6673035989411699795","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[0, 9, 5], [9, 2, 6], [8, 2, 11], [1, 4, 5, 10, 11], [2, 3], [0, 3], [2, 4, 5, 7, 11], [9, 2, 4, 5], [0, 2, 6], [3, 4, 6, 9, 11], [0, 1, 7, 9, 10], [0, 4, 5, 10, 11], [0, 1, 2, 5, 10], [1, 10, 6], [1, 11, 5, 6], [2, 5, 9, 10, 11], [1, 3, 4, 6, 7], [0, 11, 6, 7], [8, 3]]}","{\"states\": [2746, 2750], \"expectation_value\": -2.1292684199665093, \"params\": [[[1.101, 0.10360000000000001, 0.0031000000000000003, 0.006900000000000001], [1.1032, 0.10360000000000001, 1.0256, 0.0006000000000000001], [1.0933000000000002, -0.009600000000000001, 1.095, 0.0054], [1.0771, -0.16920000000000002, 0.6858000000000001, 0.0021000000000000003], [1.0884, 0.0019, 1.0888, 0.0063], [1.0958, -0.0005, 1.1024, 0.0039000000000000003], [1.0999, 0.009300000000000001, 1.0983, 0.0019], [0.7615000000000001, 0.316, 0.4562, 0.0081], [1.0915000000000001, 0.0073, 1.0955000000000001, 0.0044], [1.0893000000000002, 0.3482, 0.39430000000000004, 0.0061], [1.1013, 0.0018000000000000002, 1.101, 0.0018000000000000002], [1.0941, 0.0067, 0.0005, 0.005200000000000001]]], \"bitstrings\": [\"010101000101\", \"010101000001\"], \"total_optimization_steps\": 110, \"probabilities\": [0.018290892134232285, 0.01831411058702053], \"optimization_time\": 13.086615324020386}","0.21666666666666667 * (Z(0) @ Z(11)) + 0.3 * (Z(7) @ Z(11)) + 0.26666666666666666 * (Z(7) @ Z(0)) + 0.3 * (Z(4) @ Z(11)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.23333333333333334 * (Z(4) @ Z(7)) + 0.21666666666666667 * (Z(8) @ Z(11)) + 0.25 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.3333333333333333 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(10) @ Z(4)) + 0.1 * (Z(3) @ Z(11)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.2833333333333333 * (Z(3) @ Z(7)) + 0.26666666666666666 * (Z(3) @ Z(4)) + 0.21666666666666667 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.05 * (Z(1) @ Z(11)) + 0.1 * (Z(1) @ Z(0)) + 0.18333333333333335 * (Z(1) @ Z(7)) + 0.05 * (Z(1) @ Z(4)) + 0.3 * (Z(1) @ Z(8)) + 0.13333333333333333 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(11)) + 0.05 * (Z(6) @ Z(0)) + 0.23333333333333334 * (Z(6) @ Z(7)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(8)) + 0.2 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(1)) + 0.1 * (Z(2) @ Z(11)) + 0.15000000000000002 * (Z(2) @ Z(0)) + 0.2 * (Z(2) @ Z(7)) + 0.1 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.15000000000000002 * (Z(2) @ Z(3)) + 0.31666666666666665 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(6)) + 0.05 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.1 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(10)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(6)) + 0.05 * (Z(9) @ Z(11)) + 0.13333333333333333 * (Z(9) @ Z(0)) + 0.05 * (Z(9) @ Z(7)) + 0.05 * (Z(9) @ Z(4)) + 0.13333333333333333 * (Z(9) @ Z(8)) + 0.13333333333333333 * (Z(9) @ Z(3)) + 0.1 * (Z(9) @ Z(1)) + 0.1 * (Z(9) @ Z(6)) + 0.05 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(5)) + 0.7583333333333335 * Z(11) + 0.7583333333333333 * Z(0) + 0.9166666666666669 * Z(7) + 0.9249999999999996 * Z(4) + 0.9500000000000004 * Z(8) + 0.16666666666666663 * Z(10) + 0.9166666666666666 * Z(3) + 0.6916666666666669 * Z(1) + 0.6250000000000002 * Z(6) + 0.6666666666666669 * Z(2) + 0.20000000000000018 * Z(5) + 0.42499999999999993 * Z(9)",11,12,1,"{\"smallest_eigenvalues\": [-4.900000000000001], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.8999999999999995, \"smallest_bitstrings\": [\"010101000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(1.101) q[0];\nrz(0.1036) q[0];\nry(1.1032) q[1];\nrz(0.1036) q[1];\nry(1.0933) q[2];\nrz(-0.0096) q[2];\nry(1.0771) q[3];\nrz(-0.1692) q[3];\nry(1.0884) q[4];\nrz(0.0019) q[4];\nry(1.0958) q[5];\nrz(-0.0005) q[5];\nry(1.0999) q[6];\nrz(0.0093) q[6];\nry(0.7615) q[7];\nrz(0.316) q[7];\nry(1.0915) q[8];\nrz(0.0073) q[8];\nry(1.0893) q[9];\nrz(0.3482) q[9];\nry(1.1013) q[10];\nrz(0.0018) q[10];\nry(1.0941) q[11];\nrz(0.0067) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(1.0256) q[1];\nrz(0.0006) q[1];\nry(1.095) q[2];\nrz(0.0054) q[2];\ncx q[2], q[1];\nry(0.6858) q[3];\nrz(0.0021) q[3];\nry(1.0888) q[4];\nrz(0.0063) q[4];\ncx q[4], q[3];\nry(1.1024) q[5];\nrz(0.0039) q[5];\nry(1.0983) q[6];\nrz(0.0019) q[6];\ncx q[6], q[5];\nry(0.4562) q[7];\nrz(0.0081) q[7];\nry(1.0955) q[8];\nrz(0.0044) q[8];\ncx q[8], q[7];\nry(0.3943) q[9];\nrz(0.0061) q[9];\nry(1.101) q[10];\nrz(0.0018) q[10];\ncx q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x1) q[1];\nry(x3) q[2];\nrz(x4) q[2];\nry(x5) q[3];\nrz(x6) q[3];\nry(x7) q[4];\nrz(x8) q[4];\nry(x9) q[5];\nrz(x10) q[5];\nry(x11) q[6];\nrz(x12) q[6];\nry(x13) q[7];\nrz(x14) q[7];\nry(x15) q[8];\nrz(x16) q[8];\nry(x17) q[9];\nrz(x18) q[9];\nry(x19) q[10];\nrz(x20) q[10];\nry(x21) q[11];\nrz(x22) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x23) q[1];\nrz(x24) q[1];\nry(x25) q[2];\nrz(x26) q[2];\ncx q[2], q[1];\nry(x27) q[3];\nrz(x28) q[3];\nry(x29) q[4];\nrz(x30) q[4];\ncx q[4], q[3];\nry(x31) q[5];\nrz(x32) q[5];\nry(x33) q[6];\nrz(x8) q[6];\ncx q[6], q[5];\nry(x34) q[7];\nrz(x35) q[7];\nry(x36) q[8];\nrz(x37) q[8];\ncx q[8], q[7];\nry(x38) q[9];\nrz(x39) q[9];\nry(x0) q[10];\nrz(x20) q[10];\ncx q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["d51551ef49ab16c1773b893a34232d66","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [783, 799], \"expectation_value\": -2.170983514226603, \"params\": [0.0014, 0.0002, 0.5007, 0.5025000000000001, 0.3486, 0.3547, 0.1366, 0.1411, 0.13440000000000002, 0.13620000000000002, 0.1311, 0.1273, 0.3357, 0.3367, 0.3382, 0.3406, 0.49410000000000004, 0.5033, 0.4988, 0.5018, 0.4975, 0.5002, 0.002, 0.0019, 0.4978, 0.5006, 0.3516, 0.3559, 0.14100000000000001, 0.13, 0.132, 0.1298, 0.1262, 0.1279, 0.331, 0.3138, 0.3405, 0.3436, 0.503, 0.5004000000000001, 0.5001, 0.49770000000000003, 0.502, 0.498, -0.001, 0.0006000000000000001, 0.498, 0.4999, 0.3537, 0.35000000000000003, 0.13670000000000002, 0.1406, 0.1316, 0.1399, 0.132, 0.1345, 0.332, 0.338, 0.3458, 0.34700000000000003, 0.4953, 0.4993, 0.4964, 0.5014000000000001, 0.4932, 0.502, 0.009300000000000001, -0.007200000000000001, 0.2097, -0.27290000000000003, 0.0328, 0.2766, 0.2199, 0.0471, 0.2036, -0.0881, 0.2182, -0.1933, -0.0526, 0.21430000000000002, -0.1961, 0.20770000000000002, 0.0568, -0.20070000000000002, 0.0182, 0.023, -0.030000000000000002, 0.0029000000000000002, -0.001, -0.0095, 0.2859, -0.2686, -0.012100000000000001, 0.2962, -0.18230000000000002, -0.0915, -0.2245, -0.2165, 0.2097, -0.2353, 0.2104, 0.2046, 0.0601, 0.2114, -0.053700000000000005, 0.1724, 0.0, 0.007200000000000001, 0.0033, -0.0011, 0.0717, 0.0074, 0.2927, 0.0077, -0.1409, 0.0086, -0.2223, 0.0098, -0.2378, 0.0059, 0.1988, 0.00030000000000000003, 0.2112, 0.0013000000000000002, 0.17600000000000002, 0.0082, 0.0465, 0.002, -0.027, 0.007500000000000001, 0.0524, 0.0071], \"bitstrings\": [\"10011110000\", \"10011100000\"], \"total_optimization_steps\": 50, \"probabilities\": [0.10079497459539996, 0.229607690356034], \"optimization_time\": 72.07838439941406}","0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.5 * (Z(0) @ Z(8)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(10) @ Z(2)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(5) @ Z(10)) + 0.125 * (Z(9) @ Z(10)) + -0.125 * (Z(9) @ Z(5) @ Z(2)) + -0.125 * (Z(5) @ Z(10) @ Z(2)) + -0.125 * (Z(9) @ Z(10) @ Z(2)) + -0.125 * (Z(9) @ Z(10) @ Z(5)) + 0.125 * (Z(9) @ Z(10) @ Z(5) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(9) @ Z(1)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(9) @ Z(3)) + 0.125 * (Z(9) @ Z(6)) + -0.125 * (Z(6) @ Z(1) @ Z(3)) + -0.125 * (Z(9) @ Z(1) @ Z(3)) + -0.125 * (Z(9) @ Z(6) @ Z(1)) + -0.125 * (Z(9) @ Z(6) @ Z(3)) + 0.125 * (Z(9) @ Z(6) @ Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(4) @ Z(10)) + 0.125 * (Z(7) @ Z(8)) + 0.125 * (Z(10) @ Z(7)) + 0.125 * (Z(10) @ Z(8)) + -0.125 * (Z(4) @ Z(7) @ Z(8)) + -0.125 * (Z(4) @ Z(10) @ Z(7)) + -0.125 * (Z(4) @ Z(10) @ Z(8)) + -0.125 * (Z(10) @ Z(7) @ Z(8)) + 0.125 * (Z(4) @ Z(10) @ Z(7) @ Z(8)) + -0.5 * Z(0) + -0.125 * Z(1) + 0.125 * Z(2) + 0.125 * Z(3) + 0.125 * Z(4) + 0.125 * Z(5) + 0.125 * Z(6) + 0.125 * Z(7) + -0.125 * Z(8) + 0.25 * Z(9) + 0.25 * Z(10)",13,11,3,"{\"smallest_eigenvalues\": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], \"number_of_smallest_eigenvalues\": 25, \"first_excited_energy\": -2.375, \"smallest_bitstrings\": [\"10100010100\", \"10100001010\", \"10001100010\", \"10101010000\", \"10001010010\", \"10001010001\", \"10001001010\", \"10010101000\", \"01100001100\", \"10100010001\", \"01100010100\", \"01001100100\", \"10110001000\", \"11001100000\", \"10011100000\", \"01100100100\", \"11100001000\", \"10001110000\", \"10100011000\", \"10010001001\", \"01010100100\", \"10010100001\", \"10010100100\", \"10010010001\", \"10010001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.0014) q[0];\nry(0.5007) q[1];\nry(0.3486) q[2];\nry(0.1366) q[3];\nry(0.1344) q[4];\nry(0.1311) q[5];\nry(0.3357) q[6];\nry(0.3382) q[7];\nry(0.4941) q[8];\nry(0.4988) q[9];\nry(0.4975) q[10];\ncrz(0.0093) q[10], q[0];\ncrz(-0.03) q[9], q[10];\ncrz(0.0182) q[8], q[9];\ncrz(0.0568) q[7], q[8];\ncrz(-0.1961) q[6], q[7];\ncrz(-0.0526) q[5], q[6];\ncrz(0.2182) q[4], q[5];\ncrz(0.2036) q[3], q[4];\ncrz(0.2199) q[2], q[3];\ncrz(0.0328) q[1], q[2];\ncrz(0.2097) q[0], q[1];\nry(0.0002) q[0];\nry(0.5025) q[1];\nry(0.3547) q[2];\nry(0.1411) q[3];\nry(0.1362) q[4];\nry(0.1273) q[5];\nry(0.3367) q[6];\nry(0.3406) q[7];\nry(0.5033) q[8];\nry(0.5018) q[9];\nry(0.5002) q[10];\ncrz(-0.0072) q[10], q[9];\ncrz(-0.2729) q[0], q[10];\ncrz(0.2766) q[0], q[1];\ncrz(0.0471) q[1], q[2];\ncrz(-0.0881) q[2], q[3];\ncrz(-0.1933) q[3], q[4];\ncrz(0.2143) q[4], q[5];\ncrz(0.2077) q[5], q[6];\ncrz(-0.2007) q[6], q[7];\ncrz(0.023) q[7], q[8];\ncrz(0.0029) q[8], q[9];\nry(0.002) q[0];\nry(0.4978) q[1];\nry(0.3516) q[2];\nry(0.141) q[3];\nry(0.132) q[4];\nry(0.1262) q[5];\nry(0.331) q[6];\nry(0.3405) q[7];\nry(0.503) q[8];\nry(0.5001) q[9];\nry(0.502) q[10];\ncrz(-0.001) q[10], q[0];\ncrz(0.0033) q[9], q[10];\ncrz(0) q[8], q[9];\ncrz(-0.0537) q[7], q[8];\ncrz(0.0601) q[6], q[7];\ncrz(0.2104) q[5], q[6];\ncrz(0.2097) q[4], q[5];\ncrz(-0.2245) q[3], q[4];\ncrz(-0.1823) q[2], q[3];\ncrz(-0.0121) q[1], q[2];\ncrz(0.2859) q[0], q[1];\nry(0.0019) q[0];\nry(0.5006) q[1];\nry(0.3559) q[2];\nry(0.13) q[3];\nry(0.1298) q[4];\nry(0.1279) q[5];\nry(0.3138) q[6];\nry(0.3436) q[7];\nry(0.5004) q[8];\nry(0.4977) q[9];\nry(0.498) q[10];\ncrz(-0.0095) q[10], q[9];\ncrz(-0.2686) q[0], q[10];\ncrz(0.2962) q[0], q[1];\ncrz(-0.0915) q[1], q[2];\ncrz(-0.2165) q[2], q[3];\ncrz(-0.2353) q[3], q[4];\ncrz(0.2046) q[4], q[5];\ncrz(0.2114) q[5], q[6];\ncrz(0.1724) q[6], q[7];\ncrz(0.0072) q[7], q[8];\ncrz(-0.0011) q[8], q[9];\nry(-0.001) q[0];\nry(0.498) q[1];\nry(0.3537) q[2];\nry(0.1367) q[3];\nry(0.1316) q[4];\nry(0.132) q[5];\nry(0.332) q[6];\nry(0.3458) q[7];\nry(0.4953) q[8];\nry(0.4964) q[9];\nry(0.4932) q[10];\ncrz(0.0717) q[10], q[0];\ncrz(0.0524) q[9], q[10];\ncrz(-0.027) q[8], q[9];\ncrz(0.0465) q[7], q[8];\ncrz(0.176) q[6], q[7];\ncrz(0.2112) q[5], q[6];\ncrz(0.1988) q[4], q[5];\ncrz(-0.2378) q[3], q[4];\ncrz(-0.2223) q[2], q[3];\ncrz(-0.1409) q[1], q[2];\ncrz(0.2927) q[0], q[1];\nry(0.0006) q[0];\nry(0.4999) q[1];\nry(0.35) q[2];\nry(0.1406) q[3];\nry(0.1399) q[4];\nry(0.1345) q[5];\nry(0.338) q[6];\nry(0.347) q[7];\nry(0.4993) q[8];\nry(0.5014) q[9];\nry(0.502) q[10];\ncrz(0.0074) q[10], q[9];\ncrz(0.0077) q[0], q[10];\ncrz(0.0086) q[0], q[1];\ncrz(0.0098) q[1], q[2];\ncrz(0.0059) q[2], q[3];\ncrz(0.0003) q[3], q[4];\ncrz(0.0013) q[4], q[5];\ncrz(0.0082) q[5], q[6];\ncrz(0.002) q[6], q[7];\ncrz(0.0075) q[7], q[8];\ncrz(0.0071) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrz(x11) q[10], q[0];\ncrz(x12) q[9], q[10];\ncrz(x13) q[8], q[9];\ncrz(x14) q[7], q[8];\ncrz(x15) q[6], q[7];\ncrz(x16) q[5], q[6];\ncrz(x17) q[4], q[5];\ncrz(x18) q[3], q[4];\ncrz(x19) q[2], q[3];\ncrz(x20) q[1], q[2];\ncrz(x21) q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncrz(x33) q[10], q[9];\ncrz(x34) q[0], q[10];\ncrz(x35) q[0], q[1];\ncrz(x36) q[1], q[2];\ncrz(x37) q[2], q[3];\ncrz(x38) q[3], q[4];\ncrz(x39) q[4], q[5];\ncrz(x40) q[5], q[6];\ncrz(x41) q[6], q[7];\ncrz(x42) q[7], q[8];\ncrz(x43) q[8], q[9];\nry(x44) q[0];\nry(x45) q[1];\nry(x46) q[2];\nry(x47) q[3];\nry(x48) q[4];\nry(x49) q[5];\nry(x50) q[6];\nry(x51) q[7];\nry(x52) q[8];\nry(x53) q[9];\nry(x54) q[10];\ncrz(x55) q[10], q[0];\ncrz(x56) q[9], q[10];\ncrz(x57) q[8], q[9];\ncrz(x58) q[7], q[8];\ncrz(x59) q[6], q[7];\ncrz(x60) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x61) q[3], q[4];\ncrz(x62) q[2], q[3];\ncrz(x63) q[1], q[2];\ncrz(x64) q[0], q[1];\nry(x65) q[0];\nry(x66) q[1];\nry(x67) q[2];\nry(x68) q[3];\nry(x69) q[4];\nry(x70) q[5];\nry(x71) q[6];\nry(x72) q[7];\nry(x73) q[8];\nry(x74) q[9];\nry(x75) q[10];\ncrz(x76) q[10], q[9];\ncrz(x77) q[0], q[10];\ncrz(x78) q[0], q[1];\ncrz(x79) q[1], q[2];\ncrz(x80) q[2], q[3];\ncrz(x81) q[3], q[4];\ncrz(x82) q[4], q[5];\ncrz(x83) q[5], q[6];\ncrz(x84) q[6], q[7];\ncrz(x85) q[7], q[8];\ncrz(x86) q[8], q[9];\nry(x55) q[0];\nry(x75) q[1];\nry(x87) q[2];\nry(x88) q[3];\nry(x89) q[4];\nry(x48) q[5];\nry(x90) q[6];\nry(x91) q[7];\nry(x92) q[8];\nry(x93) q[9];\nry(x94) q[10];\ncrz(x95) q[10], q[0];\ncrz(x96) q[9], q[10];\ncrz(x97) q[8], q[9];\ncrz(x98) q[7], q[8];\ncrz(x99) q[6], q[7];\ncrz(x100) q[5], q[6];\ncrz(x101) q[4], q[5];\ncrz(x102) q[3], q[4];\ncrz(x103) q[2], q[3];\ncrz(x104) q[1], q[2];\ncrz(x105) q[0], q[1];\nry(x106) q[0];\nry(x107) q[1];\nry(x108) q[2];\nry(x109) q[3];\nry(x110) q[4];\nry(x111) q[5];\nry(x112) q[6];\nry(x113) q[7];\nry(x114) q[8];\nry(x115) q[9];\nry(x54) q[10];\ncrz(x116) q[10], q[9];\ncrz(x117) q[0], q[10];\ncrz(x118) q[0], q[1];\ncrz(x119) q[1], q[2];\ncrz(x120) q[2], q[3];\ncrz(x121) q[3], q[4];\ncrz(x122) q[4], q[5];\ncrz(x123) q[5], q[6];\ncrz(x44) q[6], q[7];\ncrz(x124) q[7], q[8];\ncrz(x125) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["b2edf981a9c05ff141b468ab5531d2c7","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [71, 85], \"expectation_value\": -2.590685641349327, \"params\": null, \"bitstrings\": [\"0111000\", \"0101010\"], \"total_optimization_steps\": 45, \"probabilities\": [0.06991996953746794, 0.7415731129598419], \"optimization_time\": 37.469557762145996}","0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + -0.25 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-3.0, -3.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"0101010\", \"0110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4449) q[1];\ncry(-1.3016) q[6], q[3];\ncry(-1.3016) q[2], q[5];\nry(1.2881) q[4];\nry(1.2881) q[0];\ncry(-0.495) q[6], q[5];\ncry(-0.495) q[2], q[3];\nry(0.6344) q[6];\ncry(0.9025) q[6], q[2];\ncry(-0.3082) q[4], q[5];\ncry(-0.27) q[0], q[3];\ncry(0.5902) q[2], q[6];\ncry(-0.1259) q[4], q[1];\nry(0.3167) q[2];\nry(-0.1432) q[3];\nry(-0.109) q[5];\ncry(0.2524) q[4], q[0];\ncry(0.2467) q[0], q[4];\ncry(0.1427) q[4], q[2];\ncry(-0.0436) q[0], q[5];\ncry(0.1109) q[0], q[6];\ncry(-0.0515) q[4], q[3];\ncry(-0.1936) q[5], q[6];\ncry(-0.1788) q[3], q[2];\ncry(0.1587) q[3], q[5];\ncry(0.1176) q[5], q[3];\ncry(-0.0904) q[3], q[6];\ncry(0.0449) q[0], q[2];\ncry(0.0417) q[4], q[6];\ncry(-0.0683) q[5], q[2];\ncry(0.0267) q[2], q[4];\ncry(0.0256) q[6], q[0];\ncry(-0.0024) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":35728,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\ncry(-1.3016) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\ncry(-1.3016) q[6], q[3];\\ncry(-1.3016) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\ncry(-1.3016) q[6], q[3];\\ncry(-1.3016) q[2], q[5];\\nry(1.2881) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\ncry(-1.3016) q[6], q[3];\\ncry(-1.3016) q[2], q[5];\\nry(1.2881) q[4];\\nry(1.2881) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\ncry(-1.3016) q[6], q[3];\\ncry(-1.3016) q[2], q[5];\\nry(1.2881) q[4];\\nry(1.2881) q[0];\\ncry(-0.495) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\ncry(-1.3016) q[6], q[3];\\ncry(-1.3016) q[2], q[5];\\nry(1.2881) q[4];\\nry(1.2881) q[0];\\ncry(-0.495) q[6], q[5];\\ncry(-0.495) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\ncry(-1.3016) q[6], q[3];\\ncry(-1.3016) q[2], q[5];\\nry(1.2881) q[4];\\nry(1.2881) q[0];\\ncry(-0.495) q[6], q[5];\\ncry(-0.495) q[2], q[3];\\nry(0.6344) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\ncry(-1.3016) q[6], q[3];\\ncry(-1.3016) q[2], q[5];\\nry(1.2881) q[4];\\nry(1.2881) q[0];\\ncry(-0.495) q[6], q[5];\\ncry(-0.495) q[2], q[3];\\nry(0.6344) q[6];\\ncry(0.9025) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\ncry(-1.3016) q[6], q[3];\\ncry(-1.3016) q[2], q[5];\\nry(1.2881) q[4];\\nry(1.2881) q[0];\\ncry(-0.495) q[6], q[5];\\ncry(-0.495) q[2], q[3];\\nry(0.6344) q[6];\\ncry(0.9025) q[6], q[2];\\ncry(-0.3082) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q"}}]
["4237845c232746c3e0d0cf50f5cff487","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 6}, {\"weight\": 11, \"source\": 0, \"target\": 5}, {\"weight\": 19, \"source\": 0, \"target\": 7}, {\"weight\": 11, \"source\": 1, \"target\": 5}, {\"weight\": 5, \"source\": 2, \"target\": 3}, {\"weight\": 19, \"source\": 3, \"target\": 7}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [437, 244], \"expectation_value\": -21.196746720592817, \"params\": [[0.040100000000000004, -0.0051, -0.0219], [-0.0804, -0.0431, -0.0175]], \"bitstrings\": [\"001001010\", \"100001011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005862783151900691, 0.007384432472420957], \"optimization_time\": 6.361350774765015}","4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 23.0 * Z(3) + 13.0 * Z(0) + 19.0 * Z(1) + 15.0 * Z(2) + 10.0 * Z(4) + 14.0 * Z(6) + -2.0 * Z(5) + 2.0 * Z(7) + 8.0 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-82.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -72.5, \"smallest_bitstrings\": [\"100001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(0.3609) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.3609) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.3609) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(0.3609) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.3609) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(0.3609) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(0.3609) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(0.3609) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(0.3609) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(0.3609) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(0.3609) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.3609) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(0.3609) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(0.3609) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.3609) q[8];\ncx q[6], q[8];\nrz(1.8446) q[3];\nrz(1.0426) q[0];\nrz(1.5238) q[1];\nrz(1.203) q[2];\nrz(0.802) q[4];\nrz(1.1228) q[6];\nrz(-0.1604) q[5];\nrz(0.1604) q[7];\nrz(0.6416) q[8];\nh q[0];\nrz(-0.1608) q[0];\nh q[0];\nh q[1];\nrz(-0.1608) q[1];\nh q[1];\nh q[2];\nrz(-0.1608) q[2];\nh q[2];\nh q[3];\nrz(-0.1608) q[3];\nh q[3];\nh q[4];\nrz(-0.1608) q[4];\nh q[4];\nh q[5];\nrz(-0.1608) q[5];\nh q[5];\nh q[6];\nrz(-0.1608) q[6];\nh q[6];\nh q[7];\nrz(-0.1608) q[7];\nh q[7];\nh q[8];\nrz(-0.1608) q[8];\nh q[8];\ncx q[3], q[0];\nrz(-0.0459) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0459) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.0459) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(-0.0459) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(-0.0459) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(-0.0459) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(-0.0459) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(-0.0459) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(-0.0459) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(-0.0459) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(-0.0459) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(-0.0459) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(-0.0459) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(-0.0459) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(-0.0459) q[8];\ncx q[6], q[8];\nrz(-0.2346) q[3];\nrz(-0.1326) q[0];\nrz(-0.1938) q[1];\nrz(-0.153) q[2];\nrz(-0.102) q[4];\nrz(-0.1428) q[6];\nrz(0.0204) q[5];\nrz(-0.0204) q[7];\nrz(-0.0816) q[8];\nh q[0];\nrz(-0.0862) q[0];\nh q[0];\nh q[1];\nrz(-0.0862) q[1];\nh q[1];\nh q[2];\nrz(-0.0862) q[2];\nh q[2];\nh q[3];\nrz(-0.0862) q[3];\nh q[3];\nh q[4];\nrz(-0.0862) q[4];\nh q[4];\nh q[5];\nrz(-0.0862) q[5];\nh q[5];\nh q[6];\nrz(-0.0862) q[6];\nh q[6];\nh q[7];\nrz(-0.0862) q[7];\nh q[7];\nh q[8];\nrz(-0.0862) q[8];\nh q[8];\ncx q[3], q[0];\nrz(-0.1971) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.1971) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.1971) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(-0.1971) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(-0.1971) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(-0.1971) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(-0.1971) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(-0.1971) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(-0.1971) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(-0.1971) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(-0.1971) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(-0.1971) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(-0.1971) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(-0.1971) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(-0.1971) q[8];\ncx q[6], q[8];\nrz(-1.0074) q[3];\nrz(-0.5694) q[0];\nrz(-0.8322) q[1];\nrz(-0.657) q[2];\nrz(-0.438) q[4];\nrz(-0.6132) q[6];\nrz(0.0876) q[5];\nrz(-0.0876) q[7];\nrz(-0.3504) q[8];\nh q[0];\nrz(-0.035) q[0];\nh q[0];\nh q[1];\nrz(-0.035) q[1];\nh q[1];\nh q[2];\nrz(-0.035) q[2];\nh q[2];\nh q[3];\nrz(-0.035) q[3];\nh q[3];\nh q[4];\nrz(-0.035) q[4];\nh q[4];\nh q[5];\nrz(-0.035) q[5];\nh q[5];\nh q[6];\nrz(-0.035) q[6];\nh q[6];\nh q[7];\nrz(-0.035) q[7];\nh q[7];\nh q[8];\nrz(-0.035) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[6];\nrz(x7) q[5];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x11) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x11) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x11) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x11) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x11) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(x11) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(x11) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x11) q[8];\ncx q[6], q[8];\nrz(x12) q[3];\nrz(x13) q[0];\nrz(x14) q[1];\nrz(x15) q[2];\nrz(x16) q[4];\nrz(x17) q[6];\nrz(x18) q[5];\nrz(x19) q[7];\nrz(x20) q[8];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\ncx q[3], q[0];\nrz(x22) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x22) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x22) q[1];\ncx q[0], q[1];\ncx q[3], q[2];\nrz(x22) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x22) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x22) q[2];\ncx q[1], q[2];\ncx q[0], q[4];\nrz(x22) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(x22) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x22) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x22) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x22) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x22) q[7];\ncx q[4], q[7];\ncx q[3], q[8];\nrz(x22) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(x22) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x22) q[8];\ncx q[6], q[8];\nrz(x23) q[3];\nrz(x24) q[0];\nrz(x25) q[1];\nrz(x26) q[2];\nrz(x27) q[4];\nrz(x28) q[6];\nrz(x29) q[5];\nrz(x30) q[7];\nrz(x31) q[8];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nh q[8];\nrz(x32) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["c502b67eb6d91d909ba398fa39bec60c","graph_coloring","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 4}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 4, \"target\": 1}, {\"source\": 4, \"target\": 2}, {\"source\": 4, \"target\": 3}]}","{\"states\": [28125, 27869], \"expectation_value\": -5.785877310167643, \"params\": [[-0.0016, 1.5048000000000001, 0.0892, 0.0886, 1.385, 0.09330000000000001, 0.1328, 1.3586, 0.08650000000000001, 0.0897, 1.4964000000000002, -0.0029000000000000002, 1.5725, 0.15910000000000002, 1.5758], [1.6878000000000002, 1.5956000000000001, 1.484, 1.645, 1.6564, 1.4784000000000002, 1.4854, 1.6627, 1.6271, 1.4833, 1.596, 1.6855, 1.5777, 0.8612000000000001, 1.5721]], \"bitstrings\": [\"001001000100010\", \"001001100100010\"], \"total_optimization_steps\": 170, \"probabilities\": [0.0053816650154583315, 0.006062423156167197], \"optimization_time\": 94.59676241874695}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.25 * (Z(3) @ Z(12)) + 0.25 * (Z(4) @ Z(13)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(14)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(12)) + 0.25 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(14)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(12)) + 0.25 * (Z(10) @ Z(13)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(14)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.75 * Z(1) + 0.75 * Z(0) + 0.75 * Z(2) + 1.5 * Z(12) + 1.5 * Z(13) + 1.5 * Z(14) + 0.75 * Z(3) + 0.75 * Z(4) + 0.75 * Z(5) + 0.75 * Z(6) + 0.75 * Z(7) + 0.75 * Z(8) + 0.75 * Z(9) + 0.75 * Z(10) + 0.75 * Z(11)",10,15,1,"{\"smallest_eigenvalues\": [-7.999999999999979], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.999999999999951, \"smallest_bitstrings\": [\"001001100100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nry(-0.0016) q[0];\nry(1.5048) q[1];\nry(0.0892) q[2];\nry(0.0886) q[3];\nry(1.385) q[4];\nry(0.0933) q[5];\nry(0.1328) q[6];\nry(1.3586) q[7];\nry(0.0865) q[8];\nry(0.0897) q[9];\nry(1.4964) q[10];\nry(-0.0029) q[11];\nry(1.5725) q[12];\nry(0.1591) q[13];\nry(1.5758) q[14];\ncz q[14], q[13];\ncz q[13], q[12];\ncz q[12], q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[14];\nry(1.6878) q[0];\nry(1.5956) q[1];\nry(1.484) q[2];\nry(1.645) q[3];\nry(1.6564) q[4];\nry(1.4784) q[5];\nry(1.4854) q[6];\nry(1.6627) q[7];\nry(1.6271) q[8];\nry(1.4833) q[9];\nry(1.596) q[10];\nry(1.6855) q[11];\nry(1.5777) q[12];\nry(0.8612) q[13];\nry(1.5721) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[15] c;\nqubit[15] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\nry(x13) q[13];\nry(x14) q[14];\ncz q[14], q[13];\ncz q[13], q[12];\ncz q[12], q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[14];\nry(x15) q[0];\nry(x16) q[1];\nry(x17) q[2];\nry(x18) q[3];\nry(x19) q[4];\nry(x20) q[5];\nry(x21) q[6];\nry(x22) q[7];\nry(x23) q[8];\nry(x24) q[9];\nry(x25) q[10];\nry(x26) q[11];\nry(x27) q[12];\nry(x28) q[13];\nry(x29) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","{\"number_of_colors\": 3}","{\"circuits\": [], \"gradients\": []}"]
["59c7bf586b1b6ff0483e10c6bee5d678","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 4}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 5, \"target\": 4}]}","{\"states\": [5, 7], \"expectation_value\": -8.46834501872435, \"params\": [0.1073, 0.2566, 0.17800000000000002, 0.24700000000000003, 0.1355, 0.2721, 0.2053, 0.2649, 0.5810000000000001, 0.138, 0.5117, 0.1285, 0.5138, 0.1386, 0.11040000000000001, 0.25680000000000003, 0.1771, 0.2529, 0.14120000000000002, 0.2747, 0.1958, 0.2669, 0.5780000000000001, 0.13770000000000002, 0.5092, 0.1554, 0.5127, 0.1754, 0.1102, 0.24380000000000002, 0.1739, 0.23720000000000002, 0.1376, 0.27040000000000003, 0.19360000000000002, 0.2654, 0.5751000000000001, 0.09820000000000001, 0.5141, 0.1437, 0.5119, 0.1479, 0.11370000000000001, 0.0029000000000000002, 0.1711, 0.0012000000000000001, 0.1343, 0.0032, 0.1932, 0.0056, 0.5802, 0.0058000000000000005, 0.5156000000000001, 0.0024000000000000002, 0.5129, 0.0015, 0.198, -0.1615, 0.048100000000000004, 0.24710000000000001, 0.22160000000000002, 0.25070000000000003, 0.2625, 0.263, 0.24880000000000002, 0.2538, 0.2313, 0.26380000000000003, 0.2427, 0.2606, 0.2672, 0.25570000000000004, 0.2156, 0.2429, 0.0097, 0.0066, 0.0029000000000000002, 0.002, 0.009300000000000001, 0.0031000000000000003], \"bitstrings\": [\"1111010\", \"1111000\"], \"total_optimization_steps\": 60, \"probabilities\": [0.14627505485961745, 0.2572836241622184], \"optimization_time\": 6.218533754348755}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.5 * (Z(6) @ Z(1)) + 2.25 * (Z(6) @ Z(0)) + 2.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.5 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -3.75 * Z(0) + -3.5 * Z(2) + -3.25 * Z(3) + -3.0 * Z(5) + -2.75 * Z(4) + -3.0 * Z(6)",3,7,4,"{\"smallest_eigenvalues\": [-13.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.5, \"smallest_bitstrings\": [\"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.1073) q[0];\nrz(0.2566) q[0];\nrx(0.178) q[1];\nrz(0.247) q[1];\nrx(0.1355) q[2];\nrz(0.2721) q[2];\nrx(0.2053) q[3];\nrz(0.2649) q[3];\nrx(0.581) q[4];\nrz(0.138) q[4];\nrx(0.5117) q[5];\nrz(0.1285) q[5];\nrx(0.5138) q[6];\nrz(0.1386) q[6];\ncrz(0.2507) q[6], q[5];\ncrz(0.2216) q[5], q[4];\ncrz(0.2471) q[4], q[3];\ncrz(0.0481) q[3], q[2];\ncrz(-0.1615) q[2], q[1];\ncrz(0.198) q[1], q[0];\nrx(0.1104) q[0];\nrz(0.2568) q[0];\nrx(0.1771) q[1];\nrz(0.2529) q[1];\nrx(0.1412) q[2];\nrz(0.2747) q[2];\nrx(0.1958) q[3];\nrz(0.2669) q[3];\nrx(0.578) q[4];\nrz(0.1377) q[4];\nrx(0.5092) q[5];\nrz(0.1554) q[5];\nrx(0.5127) q[6];\nrz(0.1754) q[6];\ncrz(0.2638) q[6], q[5];\ncrz(0.2313) q[5], q[4];\ncrz(0.2538) q[4], q[3];\ncrz(0.2488) q[3], q[2];\ncrz(0.263) q[2], q[1];\ncrz(0.2625) q[1], q[0];\nrx(0.1102) q[0];\nrz(0.2438) q[0];\nrx(0.1739) q[1];\nrz(0.2372) q[1];\nrx(0.1376) q[2];\nrz(0.2704) q[2];\nrx(0.1936) q[3];\nrz(0.2654) q[3];\nrx(0.5751) q[4];\nrz(0.0982) q[4];\nrx(0.5141) q[5];\nrz(0.1437) q[5];\nrx(0.5119) q[6];\nrz(0.1479) q[6];\ncrz(0.2429) q[6], q[5];\ncrz(0.2156) q[5], q[4];\ncrz(0.2557) q[4], q[3];\ncrz(0.2672) q[3], q[2];\ncrz(0.2606) q[2], q[1];\ncrz(0.2427) q[1], q[0];\nrx(0.1137) q[0];\nrz(0.0029) q[0];\nrx(0.1711) q[1];\nrz(0.0012) q[1];\nrx(0.1343) q[2];\nrz(0.0032) q[2];\nrx(0.1932) q[3];\nrz(0.0056) q[3];\nrx(0.5802) q[4];\nrz(0.0058) q[4];\nrx(0.5156) q[5];\nrz(0.0024) q[5];\nrx(0.5129) q[6];\nrz(0.0015) q[6];\ncrz(0.0031) q[6], q[5];\ncrz(0.0093) q[5], q[4];\ncrz(0.002) q[4], q[3];\ncrz(0.0029) q[3], q[2];\ncrz(0.0066) q[2], q[1];\ncrz(0.0097) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[6], q[5];\ncrz(x15) q[5], q[4];\ncrz(x16) q[4], q[3];\ncrz(x17) q[3], q[2];\ncrz(x18) q[2], q[1];\ncrz(x19) q[1], q[0];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\ncrz(x34) q[6], q[5];\ncrz(x35) q[5], q[4];\ncrz(x36) q[4], q[3];\ncrz(x37) q[3], q[2];\ncrz(x38) q[2], q[1];\ncrz(x39) q[1], q[0];\nrx(x40) q[0];\nrz(x41) q[0];\nrx(x42) q[1];\nrz(x43) q[1];\nrx(x44) q[2];\nrz(x45) q[2];\nrx(x46) q[3];\nrz(x47) q[3];\nrx(x48) q[4];\nrz(x49) q[4];\nrx(x50) q[5];\nrz(x51) q[5];\nrx(x52) q[6];\nrz(x53) q[6];\ncrz(x54) q[6], q[5];\ncrz(x55) q[5], q[4];\ncrz(x56) q[4], q[3];\ncrz(x57) q[3], q[2];\ncrz(x58) q[2], q[1];\ncrz(x59) q[1], q[0];\nrx(x60) q[0];\nrz(x61) q[0];\nrx(x62) q[1];\nrz(x63) q[1];\nrx(x64) q[2];\nrz(x65) q[2];\nrx(x66) q[3];\nrz(x67) q[3];\nrx(x68) q[4];\nrz(x69) q[4];\nrx(x70) q[5];\nrz(x71) q[5];\nrx(x72) q[6];\nrz(x73) q[6];\ncrz(x74) q[6], q[5];\ncrz(x75) q[5], q[4];\ncrz(x76) q[4], q[3];\ncrz(x61) q[3], q[2];\ncrz(x77) q[2], q[1];\ncrz(x78) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["9b6c90aee56ab84919f7c826e678a024","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}]}","{\"states\": [3, 9], \"expectation_value\": -7.123170061706766, \"params\": null, \"bitstrings\": [\"11100\", \"10110\"], \"total_optimization_steps\": 29, \"probabilities\": [0.1405844083484402, 0.6434159405450673], \"optimization_time\": 22.620425701141357}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4)",18,5,2,"{\"smallest_eigenvalues\": [-7.5, -7.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"11100\", \"10110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[2];\ncry(-1.5708) q[4], q[0];\nry(0.8148) q[4];\ncry(-1.5708) q[1], q[3];\nry(0.6593) q[1];\nry(-0.3489) q[0];\ncry(-0.2626) q[4], q[3];\ncry(0.3453) q[1], q[4];\ncry(-0.2275) q[1], q[0];\ncry(0.2896) q[4], q[1];\nry(-0.153) q[3];\ncry(-0.2585) q[3], q[1];\ncry(0.3016) q[3], q[4];\ncry(0.2888) q[0], q[1];\ncry(-0.1757) q[3], q[0];\ncry(-0.1126) q[0], q[4];\ncry(-0.0682) q[0], q[3];\ncry(0.0001) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"k\": 3}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\ncry(0.0001) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\ncry(0.0001) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\ncry(0.0001) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[2];\\ncry(-1.5708) q[4], q[0];\\nry(0.8148) q[4];\\ncry(-1.5708) q[1], q[3];\\nry(0.6593) q[1];\\nry(-0.3489) q[0];\\ncry(-0.2626) q[4], q[3];\\ncry(0.3453) q[1], q[4];\\ncry(-0.2275) q[1], q[0];\\ncry(0.2896) q[4], q[1];\\nry(-0.153) q[3];\\ncry(-0.2585) q[3], q[1];\\ncry(0.3016) q[3], q[4];\\ncry(0.2888) q[0], q[1];\\ncry(-0.1757) q[3], q[0];\\ncry(-0.1126) q[0], q[4];\\ncry(-0.0682) q[0], q[3];\\ncry(0.0001) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [3.026, 1.5099, 1.0502, 1.458, 0.7682, 0.7935, 0.4461, 0.3829, 0.4234, 0.2789, 0.3623, 0.1292, 0.1069, 0.0984, 0.0849, 0.0487, 0.0274, 0.0108, 0.0108, 0.0084, 0.0077, 0.0074, 0.0055, 0.0053, 0.0047, 0.0044, 0.0038, 0.0034, 0.0027]}"]
["a7fba5c7fdc2a0492603f740d30b0e3e","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [139, 46], \"expectation_value\": -0.28493246311154896, \"params\": [[0.0727, 0.06520000000000001, 0.0737], [-0.08070000000000001, -0.06430000000000001, -0.0722]], \"bitstrings\": [\"01110100\", \"11010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00633583504974974, 0.006335835049749742], \"optimization_time\": 14.077632188796997}","0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0625 * (Z(1) @ Z(3) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(2) @ Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(7) @ Z(5)) + -0.125 * (Z(6) @ Z(7) @ Z(4)) + -0.125 * (Z(6) @ Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(4) @ Z(7) @ Z(5)) + -0.0625 * Z(0) + -0.0625 * Z(1) + -0.0625 * Z(2) + -0.5625 * Z(3) + 0.3125 * Z(4) + -0.125 * Z(5) + -0.125 * Z(6) + -0.125 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], \"number_of_smallest_eigenvalues\": 7, \"first_excited_energy\": -1.6875, \"smallest_bitstrings\": [\"00110110\", \"00010111\", \"01110100\", \"10010011\", \"10110010\", \"11010001\", \"01010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.0091) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0091) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(0.0091) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(0.0091) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(0.0091) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0091) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0091) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(0.0091) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0091) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(0.0091) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0091) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(-0.0091) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(-0.0091) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(-0.0091) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(-0.0091) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(-0.0091) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.0091) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(-0.0091) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.0091) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(-0.0091) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0091) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0091) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(0.0091) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(0.0091) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(0.0091) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(-0.0091) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(0.0727) q[0];\ncx q[5], q[0];\ncx q[6], q[1];\nrz(0.0727) q[1];\ncx q[6], q[1];\ncx q[7], q[2];\nrz(0.0727) q[2];\ncx q[7], q[2];\ncx q[5], q[4];\nrz(0.0182) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(0.0182) q[6];\ncx q[4], q[6];\ncx q[4], q[7];\nrz(0.0182) q[7];\ncx q[4], q[7];\ncx q[5], q[6];\nrz(0.0182) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(0.0182) q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(0.0182) q[6];\ncx q[7], q[6];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(-0.0182) q[6];\ncx q[4], q[6];\ncx q[5], q[4];\ncx q[5], q[7];\ncx q[7], q[4];\nrz(-0.0182) q[4];\ncx q[7], q[4];\ncx q[5], q[7];\ncx q[4], q[7];\ncx q[7], q[6];\nrz(-0.0182) q[6];\ncx q[7], q[6];\ncx q[4], q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(-0.0182) q[6];\ncx q[7], q[6];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[4];\ncx q[4], q[6];\nrz(0.0182) q[6];\ncx q[4], q[6];\ncx q[7], q[4];\ncx q[5], q[7];\nrz(-0.0091) q[0];\nrz(-0.0091) q[1];\nrz(-0.0091) q[2];\nrz(-0.0818) q[3];\nrz(0.0454) q[4];\nrz(-0.0182) q[5];\nrz(-0.0182) q[6];\nrz(-0.0182) q[7];\nh q[0];\nrz(-0.1614) q[0];\nh q[0];\nh q[1];\nrz(-0.1614) q[1];\nh q[1];\nh q[2];\nrz(-0.1614) q[2];\nh q[2];\nh q[3];\nrz(-0.1614) q[3];\nh q[3];\nh q[4];\nrz(-0.1614) q[4];\nh q[4];\nh q[5];\nrz(-0.1614) q[5];\nh q[5];\nh q[6];\nrz(-0.1614) q[6];\nh q[6];\nh q[7];\nrz(-0.1614) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0082) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0082) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(0.0082) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(0.0082) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(0.0082) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0082) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0082) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(0.0082) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0082) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(0.0082) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0082) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(-0.0082) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(-0.0082) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(-0.0082) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(-0.0082) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(-0.0082) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.0082) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(-0.0082) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.0082) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(-0.0082) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0082) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0082) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(0.0082) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(0.0082) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(0.0082) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(-0.0082) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(0.0652) q[0];\ncx q[5], q[0];\ncx q[6], q[1];\nrz(0.0652) q[1];\ncx q[6], q[1];\ncx q[7], q[2];\nrz(0.0652) q[2];\ncx q[7], q[2];\ncx q[5], q[4];\nrz(0.0163) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(0.0163) q[6];\ncx q[4], q[6];\ncx q[4], q[7];\nrz(0.0163) q[7];\ncx q[4], q[7];\ncx q[5], q[6];\nrz(0.0163) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(0.0163) q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(0.0163) q[6];\ncx q[7], q[6];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(-0.0163) q[6];\ncx q[4], q[6];\ncx q[5], q[4];\ncx q[5], q[7];\ncx q[7], q[4];\nrz(-0.0163) q[4];\ncx q[7], q[4];\ncx q[5], q[7];\ncx q[4], q[7];\ncx q[7], q[6];\nrz(-0.0163) q[6];\ncx q[7], q[6];\ncx q[4], q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(-0.0163) q[6];\ncx q[7], q[6];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[4];\ncx q[4], q[6];\nrz(0.0163) q[6];\ncx q[4], q[6];\ncx q[7], q[4];\ncx q[5], q[7];\nrz(-0.0082) q[0];\nrz(-0.0082) q[1];\nrz(-0.0082) q[2];\nrz(-0.0734) q[3];\nrz(0.0408) q[4];\nrz(-0.0163) q[5];\nrz(-0.0163) q[6];\nrz(-0.0163) q[7];\nh q[0];\nrz(-0.1286) q[0];\nh q[0];\nh q[1];\nrz(-0.1286) q[1];\nh q[1];\nh q[2];\nrz(-0.1286) q[2];\nh q[2];\nh q[3];\nrz(-0.1286) q[3];\nh q[3];\nh q[4];\nrz(-0.1286) q[4];\nh q[4];\nh q[5];\nrz(-0.1286) q[5];\nh q[5];\nh q[6];\nrz(-0.1286) q[6];\nh q[6];\nh q[7];\nrz(-0.1286) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0092) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0092) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(0.0092) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(0.0092) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(0.0092) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0092) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0092) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(0.0092) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0092) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(0.0092) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0092) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(-0.0092) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(-0.0092) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(-0.0092) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(-0.0092) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(-0.0092) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.0092) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(-0.0092) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.0092) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(-0.0092) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0092) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0092) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(0.0092) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(0.0092) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(0.0092) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(-0.0092) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(0.0737) q[0];\ncx q[5], q[0];\ncx q[6], q[1];\nrz(0.0737) q[1];\ncx q[6], q[1];\ncx q[7], q[2];\nrz(0.0737) q[2];\ncx q[7], q[2];\ncx q[5], q[4];\nrz(0.0184) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(0.0184) q[6];\ncx q[4], q[6];\ncx q[4], q[7];\nrz(0.0184) q[7];\ncx q[4], q[7];\ncx q[5], q[6];\nrz(0.0184) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(0.0184) q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(0.0184) q[6];\ncx q[7], q[6];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(-0.0184) q[6];\ncx q[4], q[6];\ncx q[5], q[4];\ncx q[5], q[7];\ncx q[7], q[4];\nrz(-0.0184) q[4];\ncx q[7], q[4];\ncx q[5], q[7];\ncx q[4], q[7];\ncx q[7], q[6];\nrz(-0.0184) q[6];\ncx q[7], q[6];\ncx q[4], q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(-0.0184) q[6];\ncx q[7], q[6];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[4];\ncx q[4], q[6];\nrz(0.0184) q[6];\ncx q[4], q[6];\ncx q[7], q[4];\ncx q[5], q[7];\nrz(-0.0092) q[0];\nrz(-0.0092) q[1];\nrz(-0.0092) q[2];\nrz(-0.0829) q[3];\nrz(0.0461) q[4];\nrz(-0.0184) q[5];\nrz(-0.0184) q[6];\nrz(-0.0184) q[7];\nh q[0];\nrz(-0.1444) q[0];\nh q[0];\nh q[1];\nrz(-0.1444) q[1];\nh q[1];\nh q[2];\nrz(-0.1444) q[2];\nh q[2];\nh q[3];\nrz(-0.1444) q[3];\nh q[3];\nh q[4];\nrz(-0.1444) q[4];\nh q[4];\nh q[5];\nrz(-0.1444) q[5];\nh q[5];\nh q[6];\nrz(-0.1444) q[6];\nh q[6];\nh q[7];\nrz(-0.1444) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[6], q[1];\nrz(x2) q[1];\ncx q[6], q[1];\ncx q[7], q[2];\nrz(x2) q[2];\ncx q[7], q[2];\ncx q[5], q[4];\nrz(x3) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[4], q[7];\nrz(x3) q[7];\ncx q[4], q[7];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(x3) q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(x3) q[6];\ncx q[7], q[6];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x4) q[6];\ncx q[4], q[6];\ncx q[5], q[4];\ncx q[5], q[7];\ncx q[7], q[4];\nrz(x4) q[4];\ncx q[7], q[4];\ncx q[5], q[7];\ncx q[4], q[7];\ncx q[7], q[6];\nrz(x4) q[6];\ncx q[7], q[6];\ncx q[4], q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(x4) q[6];\ncx q[7], q[6];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[4];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[7], q[4];\ncx q[5], q[7];\nrz(x1) q[0];\nrz(x1) q[1];\nrz(x1) q[2];\nrz(x5) q[3];\nrz(x6) q[4];\nrz(x4) q[5];\nrz(x4) q[6];\nrz(x4) q[7];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x8) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(x8) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x8) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(x8) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x8) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x8) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(x8) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x8) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x8) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x9) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x9) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x9) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x9) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x9) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x8) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x8) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(x9) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(x10) q[0];\ncx q[5], q[0];\ncx q[6], q[1];\nrz(x10) q[1];\ncx q[6], q[1];\ncx q[7], q[2];\nrz(x10) q[2];\ncx q[7], q[2];\ncx q[5], q[4];\nrz(x11) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x11) q[6];\ncx q[4], q[6];\ncx q[4], q[7];\nrz(x11) q[7];\ncx q[4], q[7];\ncx q[5], q[6];\nrz(x11) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(x11) q[6];\ncx q[7], q[6];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x12) q[6];\ncx q[4], q[6];\ncx q[5], q[4];\ncx q[5], q[7];\ncx q[7], q[4];\nrz(x12) q[4];\ncx q[7], q[4];\ncx q[5], q[7];\ncx q[4], q[7];\ncx q[7], q[6];\nrz(x12) q[6];\ncx q[7], q[6];\ncx q[4], q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(x12) q[6];\ncx q[7], q[6];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[4];\ncx q[4], q[6];\nrz(x11) q[6];\ncx q[4], q[6];\ncx q[7], q[4];\ncx q[5], q[7];\nrz(x9) q[0];\nrz(x9) q[1];\nrz(x9) q[2];\nrz(x13) q[3];\nrz(x14) q[4];\nrz(x12) q[5];\nrz(x12) q[6];\nrz(x12) q[7];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x16) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(x16) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x16) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(x16) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x16) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x16) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(x16) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x16) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x16) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x17) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x17) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(x17) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x17) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(x17) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x17) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x17) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x17) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x17) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x17) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x16) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x16) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(x17) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(x18) q[0];\ncx q[5], q[0];\ncx q[6], q[1];\nrz(x18) q[1];\ncx q[6], q[1];\ncx q[7], q[2];\nrz(x18) q[2];\ncx q[7], q[2];\ncx q[5], q[4];\nrz(x19) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x19) q[6];\ncx q[4], q[6];\ncx q[4], q[7];\nrz(x19) q[7];\ncx q[4], q[7];\ncx q[5], q[6];\nrz(x19) q[6];\ncx q[5], q[6];\ncx q[5], q[7];\nrz(x19) q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(x19) q[6];\ncx q[7], q[6];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x20) q[6];\ncx q[4], q[6];\ncx q[5], q[4];\ncx q[5], q[7];\ncx q[7], q[4];\nrz(x20) q[4];\ncx q[7], q[4];\ncx q[5], q[7];\ncx q[4], q[7];\ncx q[7], q[6];\nrz(x20) q[6];\ncx q[7], q[6];\ncx q[4], q[7];\ncx q[5], q[7];\ncx q[7], q[6];\nrz(x20) q[6];\ncx q[7], q[6];\ncx q[5], q[7];\ncx q[5], q[7];\ncx q[7], q[4];\ncx q[4], q[6];\nrz(x19) q[6];\ncx q[4], q[6];\ncx q[7], q[4];\ncx q[5], q[7];\nrz(x17) q[0];\nrz(x17) q[1];\nrz(x17) q[2];\nrz(x21) q[3];\nrz(x22) q[4];\nrz(x20) q[5];\nrz(x20) q[6];\nrz(x20) q[7];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["-3907779894903928141","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[3, 6, 7], [1, 2, 5, 7], [0, 1, 2, 7], [1, 4, 5, 7], [0, 4, 7], [0, 1, 5, 7], [1, 2, 5, 6], [0, 3], [3, 5, 6], [2, 3, 4], [1, 3, 5], [1, 2, 3]]}","{\"states\": [234, 238], \"expectation_value\": -2.7414894353407355, \"params\": [1.3306, 0.1642, 1.8042, 0.0057, 1.7882, 0.0976, 1.3369, 0.0097, 1.9907000000000001, 0.061700000000000005, 1.1420000000000001, 0.00030000000000000003, 0.0035, 0.7445, -0.0035, 0.0013000000000000002, 2.0364, 0.054, 1.0957000000000001, 0.006900000000000001, 0.8137000000000001, -0.3648, 0.9803000000000001, 0.0025, 1.6777000000000002, 0.0853, 1.4553, 0.0036000000000000003, 0.9751000000000001, 0.9466, 0.2446, 0.002, -0.0178, 0.0081, 0.0263, 0.11710000000000001, 0.0446, -0.0251, 0.008, 0.20520000000000002], \"bitstrings\": [\"00010101\", \"00010001\"], \"total_optimization_steps\": 260, \"probabilities\": [0.3352144071326535, 0.43471148837833007], \"optimization_time\": 46.24958300590515}","0.3333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.41666666666666663 * (Z(2) @ Z(1)) + 0.25 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.4583333333333335 * Z(6) + 0.8333333333333333 * Z(3) + 0.8333333333333333 * Z(7) + 0.9583333333333333 * Z(1) + 0.7083333333333333 * Z(2) + 0.8333333333333333 * Z(5) + 0.41666666666666663 * Z(0) + 0.45833333333333337 * Z(4)",5,8,1,"{\"smallest_eigenvalues\": [-3.166666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.166666666666666, \"smallest_bitstrings\": [\"00010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(1.3306) q[0];\nrz(0.1642) q[0];\nrx(1.7882) q[1];\nrz(0.0976) q[1];\nrx(1.9907) q[2];\nrz(0.0617) q[2];\nrx(0.0035) q[3];\nrz(0.7445) q[3];\nrx(2.0364) q[4];\nrz(0.054) q[4];\nrx(0.8137) q[5];\nrz(-0.3648) q[5];\nrx(1.6777) q[6];\nrz(0.0853) q[6];\nrx(0.9751) q[7];\nrz(0.9466) q[7];\ncrz(0.008) q[7], q[6];\ncrz(-0.0251) q[7], q[5];\ncrz(0.0446) q[7], q[4];\ncrz(0.1171) q[7], q[3];\ncrz(0.0263) q[7], q[2];\ncrz(0.0081) q[7], q[1];\ncrz(-0.0178) q[7], q[0];\ncrz(0.2052) q[6], q[7];\ncrz(-0.0251) q[6], q[5];\ncrz(0.0446) q[6], q[4];\ncrz(0.1171) q[6], q[3];\ncrz(0.0263) q[6], q[2];\ncrz(0.0081) q[6], q[1];\ncrz(-0.0178) q[6], q[0];\ncrz(0.2052) q[5], q[7];\ncrz(0.008) q[5], q[6];\ncrz(0.0446) q[5], q[4];\ncrz(0.1171) q[5], q[3];\ncrz(0.0263) q[5], q[2];\ncrz(0.0081) q[5], q[1];\ncrz(-0.0178) q[5], q[0];\ncrz(0.2052) q[4], q[7];\ncrz(0.008) q[4], q[6];\ncrz(-0.0251) q[4], q[5];\ncrz(0.1171) q[4], q[3];\ncrz(0.0263) q[4], q[2];\ncrz(0.0081) q[4], q[1];\ncrz(-0.0178) q[4], q[0];\ncrz(0.2052) q[3], q[7];\ncrz(0.008) q[3], q[6];\ncrz(-0.0251) q[3], q[5];\ncrz(0.0446) q[3], q[4];\ncrz(0.0263) q[3], q[2];\ncrz(0.0081) q[3], q[1];\ncrz(-0.0178) q[3], q[0];\ncrz(0.2052) q[2], q[7];\ncrz(0.008) q[2], q[6];\ncrz(-0.0251) q[2], q[5];\ncrz(0.0446) q[2], q[4];\ncrz(0.1171) q[2], q[3];\ncrz(0.0081) q[2], q[1];\ncrz(-0.0178) q[2], q[0];\ncrz(0.2052) q[1], q[7];\ncrz(0.008) q[1], q[6];\ncrz(-0.0251) q[1], q[5];\ncrz(0.0446) q[1], q[4];\ncrz(0.1171) q[1], q[3];\ncrz(0.0263) q[1], q[2];\ncrz(-0.0178) q[1], q[0];\ncrz(0.2052) q[0], q[7];\ncrz(0.008) q[0], q[6];\ncrz(-0.0251) q[0], q[5];\ncrz(0.0446) q[0], q[4];\ncrz(0.1171) q[0], q[3];\ncrz(0.0263) q[0], q[2];\ncrz(0.0081) q[0], q[1];\nrx(1.8042) q[0];\nrz(0.0057) q[0];\nrx(1.3369) q[1];\nrz(0.0097) q[1];\nrx(1.142) q[2];\nrz(0.0003) q[2];\nrx(-0.0035) q[3];\nrz(0.0013) q[3];\nrx(1.0957) q[4];\nrz(0.0069) q[4];\nrx(0.9803) q[5];\nrz(0.0025) q[5];\nrx(1.4553) q[6];\nrz(0.0036) q[6];\nrx(0.2446) q[7];\nrz(0.002) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[7], q[5];\ncrz(x18) q[7], q[4];\ncrz(x19) q[7], q[3];\ncrz(x20) q[7], q[2];\ncrz(x21) q[7], q[1];\ncrz(x22) q[7], q[0];\ncrz(x23) q[6], q[7];\ncrz(x17) q[6], q[5];\ncrz(x18) q[6], q[4];\ncrz(x19) q[6], q[3];\ncrz(x20) q[6], q[2];\ncrz(x21) q[6], q[1];\ncrz(x22) q[6], q[0];\ncrz(x23) q[5], q[7];\ncrz(x16) q[5], q[6];\ncrz(x18) q[5], q[4];\ncrz(x19) q[5], q[3];\ncrz(x20) q[5], q[2];\ncrz(x21) q[5], q[1];\ncrz(x22) q[5], q[0];\ncrz(x23) q[4], q[7];\ncrz(x16) q[4], q[6];\ncrz(x17) q[4], q[5];\ncrz(x19) q[4], q[3];\ncrz(x20) q[4], q[2];\ncrz(x21) q[4], q[1];\ncrz(x22) q[4], q[0];\ncrz(x23) q[3], q[7];\ncrz(x16) q[3], q[6];\ncrz(x17) q[3], q[5];\ncrz(x18) q[3], q[4];\ncrz(x20) q[3], q[2];\ncrz(x21) q[3], q[1];\ncrz(x22) q[3], q[0];\ncrz(x23) q[2], q[7];\ncrz(x16) q[2], q[6];\ncrz(x17) q[2], q[5];\ncrz(x18) q[2], q[4];\ncrz(x19) q[2], q[3];\ncrz(x21) q[2], q[1];\ncrz(x22) q[2], q[0];\ncrz(x23) q[1], q[7];\ncrz(x16) q[1], q[6];\ncrz(x17) q[1], q[5];\ncrz(x18) q[1], q[4];\ncrz(x19) q[1], q[3];\ncrz(x20) q[1], q[2];\ncrz(x22) q[1], q[0];\ncrz(x23) q[0], q[7];\ncrz(x16) q[0], q[6];\ncrz(x17) q[0], q[5];\ncrz(x18) q[0], q[4];\ncrz(x19) q[0], q[3];\ncrz(x20) q[0], q[2];\ncrz(x21) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["be7e2cb61602e2e9b2101189bb676973","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 8}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 8}, {\"capacity\": 3, \"source\": 2, \"target\": 9}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 8}, {\"capacity\": 3, \"source\": 3, \"target\": 9}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 9}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 4}, {\"capacity\": 2, \"source\": 6, \"target\": 5}, {\"capacity\": 3, \"source\": 7, \"target\": 1}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 2, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 5}, {\"capacity\": 2, \"source\": 7, \"target\": 8}, {\"capacity\": 2, \"source\": 7, \"target\": 9}, {\"capacity\": 2, \"source\": 8, \"target\": 1}, {\"capacity\": 2, \"source\": 8, \"target\": 2}, {\"capacity\": 1, \"source\": 8, \"target\": 4}, {\"capacity\": 1, \"source\": 8, \"target\": 6}, {\"capacity\": 3, \"source\": 8, \"target\": 9}]}","{\"states\": [967, 479], \"expectation_value\": -1.7499348365743714, \"params\": [[-0.003, -0.0005, 0.7843, 1.5728, 0.0005, -0.0309, -0.7128, -0.0026000000000000003, -0.003, 0.1395], [-1.5719, 0.7803, -0.2817, -1.5705, 0.01, 0.012400000000000001, -1.5873000000000002, -0.0009000000000000001, -0.0013000000000000002, 0.00030000000000000003], [0.004, 0.1623, 1.5669000000000002, -0.014400000000000001, 0.0029000000000000002, 0.0002, 1.5663, 0.7529, -0.8215, 0.0019], [0.0119, 0.0287, 1.5728, 1.6234000000000002, 0.0082, 0.003, 1.5677, 1.1493, 1.5309000000000001, 1.5746]], \"bitstrings\": [\"0000111000\", \"1000100000\"], \"total_optimization_steps\": 180, \"probabilities\": [0.009069263289923577, 0.009093677242196197], \"optimization_time\": 23.073697090148926}","-0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + 2.0 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(2)) + -0.75 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(9)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(2) + -1.25 * Z(4) + 0.0 * Z(6) + 0.5 * Z(3) + 0.75 * Z(8) + 0.5 * Z(5) + -1.25 * Z(9) + 1.5 * Z(7)",9,10,4,"{\"smallest_eigenvalues\": [-16.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.75, \"smallest_bitstrings\": [\"1000100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.003) q[0];\nrx(-0.0005) q[1];\nrx(0.7843) q[2];\nrx(1.5728) q[3];\nrx(0.0005) q[4];\nrx(-0.0309) q[5];\nrx(-0.7128) q[6];\nrx(-0.0026) q[7];\nrx(-0.003) q[8];\nrx(0.1395) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-1.5719) q[0];\nrx(0.7803) q[1];\nrx(-0.2817) q[2];\nrx(-1.5705) q[3];\nrx(0.01) q[4];\nrx(0.0124) q[5];\nrx(-1.5873) q[6];\nrx(-0.0009) q[7];\nrx(-0.0013) q[8];\nrx(0.0003) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.004) q[0];\nrx(0.1623) q[1];\nrx(1.5669) q[2];\nrx(-0.0144) q[3];\nrx(0.0029) q[4];\nrx(0.0002) q[5];\nrx(1.5663) q[6];\nrx(0.7529) q[7];\nrx(-0.8215) q[8];\nrx(0.0019) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0119) q[0];\nrx(0.0287) q[1];\nrx(1.5728) q[2];\nrx(1.6234) q[3];\nrx(0.0082) q[4];\nrx(0.003) q[5];\nrx(1.5677) q[6];\nrx(1.1493) q[7];\nrx(1.5309) q[8];\nrx(1.5746) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nrx(x6) q[6];\nrx(x7) q[7];\nrx(x0) q[8];\nrx(x8) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x9) q[0];\nrx(x10) q[1];\nrx(x11) q[2];\nrx(x12) q[3];\nrx(x13) q[4];\nrx(x14) q[5];\nrx(x15) q[6];\nrx(x16) q[7];\nrx(x17) q[8];\nrx(x18) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x19) q[0];\nrx(x20) q[1];\nrx(x21) q[2];\nrx(x22) q[3];\nrx(x23) q[4];\nrx(x24) q[5];\nrx(x25) q[6];\nrx(x26) q[7];\nrx(x27) q[8];\nrx(x28) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x29) q[0];\nrx(x30) q[1];\nrx(x3) q[2];\nrx(x31) q[3];\nrx(x32) q[4];\nrx(x33) q[5];\nrx(x34) q[6];\nrx(x35) q[7];\nrx(x36) q[8];\nrx(x37) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["-5479358082000095795","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 2, 3], [2, 4, 5], [1, 2, 3], [0, 2, 5], [3, 4], [1, 4, 5]]}","{\"states\": [53, 58], \"expectation_value\": -0.031983717389717795, \"params\": [[-0.0466], [0.059500000000000004]], \"bitstrings\": [\"001010\", \"000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0161759475750414, 0.01623454657180698], \"optimization_time\": 0.5891468524932861}","0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.6666666666666666 * Z(2) + 0.3333333333333333 * Z(0) + 0.3333333333333335 * Z(3) + 0.3333333333333335 * Z(4) + 0.4999999999999999 * Z(5) + 0.3333333333333333 * Z(1)",1,6,1,"{\"smallest_eigenvalues\": [-2.166666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.8333333333333333, \"smallest_bitstrings\": [\"000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(-0.0311) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(-0.0311) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0155) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(-0.0155) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0466) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.0311) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.0155) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0311) q[5];\ncx q[4], q[5];\ncx q[2], q[1];\nrz(-0.0155) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(-0.0155) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.0155) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.0155) q[1];\ncx q[5], q[1];\nrz(-0.0621) q[2];\nrz(-0.0311) q[0];\nrz(-0.0311) q[3];\nrz(-0.0311) q[4];\nrz(-0.0466) q[5];\nrz(-0.0311) q[1];\nh q[0];\nrz(0.119) q[0];\nh q[0];\nh q[1];\nrz(0.119) q[1];\nh q[1];\nh q[2];\nrz(0.119) q[2];\nh q[2];\nh q[3];\nrz(0.119) q[3];\nh q[3];\nh q[4];\nrz(0.119) q[4];\nh q[4];\nh q[5];\nrz(0.119) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x2) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x1) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x1) q[1];\ncx q[5], q[1];\nrz(x3) q[2];\nrz(x0) q[0];\nrz(x0) q[3];\nrz(x0) q[4];\nrz(x2) q[5];\nrz(x0) q[1];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["501d52bca20eca2710d92d36115a0dbb","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 8}, {\"source\": 7, \"target\": 8}]}","{\"states\": [13, 77], \"expectation_value\": -5.924683346341816, \"params\": [0.3271, -0.2235, 0.3266, 0.0078000000000000005, -0.0092, 0.3945, -0.013600000000000001, 0.0097, 0.7886000000000001, -0.0032, 0.7871, 0.0083, -0.0109, 0.37770000000000004, -0.0123, 0.008700000000000001, 0.0023, 0.4428, 0.0024000000000000002, 0.005200000000000001, 0.8028000000000001, 0.1563, 0.7985, 0.0067, 0.8, 0.001, 0.7988000000000001, 0.0095, 0.1521, -0.3168, 0.15130000000000002, 0.0015, 0.8053, 0.0029000000000000002, 0.8089000000000001, 0.0037, -0.3917, 0.0006000000000000001, -0.37360000000000004, 0.008400000000000001, 0.3039, 0.0026000000000000003, 0.2953, 0.0058000000000000005, 0.0039000000000000003], \"bitstrings\": [\"111110010\", \"110110010\"], \"total_optimization_steps\": 80, \"probabilities\": [0.0603602647929773, 0.06095724339022541], \"optimization_time\": 20.22005343437195}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -2.0 * Z(1) + -1.5 * Z(3) + -2.5 * Z(4) + -1.5 * Z(8) + -1.5 * Z(7) + 0.0 * Z(6)",7,9,1,"{\"smallest_eigenvalues\": [-8.0, -8.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -7.0, \"smallest_bitstrings\": [\"110110010\", \"001111001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.3271) q[0];\nrz(-0.2235) q[0];\nrx(-0.0092) q[1];\nrz(0.3945) q[1];\nrx(0.7886) q[2];\nrz(-0.0032) q[2];\nrx(-0.0109) q[3];\nrz(0.3777) q[3];\nrx(0.0023) q[4];\nrz(0.4428) q[4];\nrx(0.8028) q[5];\nrz(0.1563) q[5];\nrx(0.8) q[6];\nrz(0.001) q[6];\nrx(0.1521) q[7];\nrz(-0.3168) q[7];\nrx(0.8053) q[8];\nrz(0.0029) q[8];\ncrz(-0.3917) q[1], q[0];\ncrz(-0.3736) q[3], q[2];\ncrz(0.3039) q[5], q[4];\ncrz(0.2953) q[7], q[6];\nrx(0.3266) q[0];\nrz(0.0078) q[0];\nrx(-0.0136) q[1];\nrz(0.0097) q[1];\nrx(0.7871) q[2];\nrz(0.0083) q[2];\nrx(-0.0123) q[3];\nrz(0.0087) q[3];\nrx(0.0024) q[4];\nrz(0.0052) q[4];\nrx(0.7985) q[5];\nrz(0.0067) q[5];\nrx(0.7988) q[6];\nrz(0.0095) q[6];\nrx(0.1513) q[7];\nrz(0.0015) q[7];\nrx(0.8089) q[8];\nrz(0.0037) q[8];\ncrz(0.0006) q[2], q[1];\ncrz(0.0084) q[4], q[3];\ncrz(0.0026) q[6], q[5];\ncrz(0.0058) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[1], q[0];\ncrz(x19) q[3], q[2];\ncrz(x20) q[5], q[4];\ncrz(x21) q[7], q[6];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nrx(x36) q[7];\nrz(x37) q[7];\nrx(x38) q[8];\nrz(x39) q[8];\ncrz(x40) q[2], q[1];\ncrz(x41) q[4], q[3];\ncrz(x42) q[6], q[5];\ncrz(x43) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["cde6b48ed870286595c1455af7aff8bd","graph_coloring","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 2}, {\"id\": 1}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 2, \"target\": 1}, {\"source\": 2, \"target\": 3}]}","{\"states\": [2941, 2933], \"expectation_value\": -5.122169817468664, \"params\": [1.6517000000000002, 0.3272, 0.6144000000000001, 0.8158000000000001, 1.6594, 0.42100000000000004, 1.5101, 0.37720000000000004, 0.6408, 0.7526, 1.6313, 0.396, 1.5732000000000002, -0.0066, 1.6168, 0.0029000000000000002, 0.8073, -0.539, 1.4254, 0.435, 0.7347, 0.7571, 1.6374000000000002, 0.384, 1.3274000000000001, 0.0088, 0.5800000000000001, 0.0009000000000000001, 1.3997000000000002, 0.0055000000000000005, 1.3145, 0.0097, 0.6012000000000001, 0.0022, 1.449, 0.001, 1.574, 0.0026000000000000003, 1.5286000000000002, 0.0045000000000000005, 0.8116, 0.0035, 1.0786, 0.008400000000000001, 0.5938, 0.0004, 1.4365, 0.0017000000000000001, 0.8175, 0.0086, 0.0041, 0.8178000000000001, -0.0077, 0.0098, 0.0037, 0.7576, 0.7641, 0.0037, 0.0002, 0.0021000000000000003, 0.0059, 0.0094, 0.007500000000000001, -0.1217, -0.6449, 0.0034000000000000002, 0.0018000000000000002, 0.7681, 0.7655000000000001, 0.008700000000000001, 0.0094, 0.0061, 0.006, 0.0078000000000000005, 0.005, 0.0005, 0.007, 0.0099, 0.0027, 0.0068000000000000005, 0.0086, 0.007500000000000001, 0.009600000000000001, 0.0055000000000000005, 0.0021000000000000003, 0.0022, 0.0022, 0.0057, 0.0045000000000000005, 0.0097, 0.0068000000000000005, 0.0009000000000000001, 0.0006000000000000001, 0.0049, 0.0088, 0.0098], \"bitstrings\": [\"010010000010\", \"010010001010\"], \"total_optimization_steps\": 170, \"probabilities\": [0.15261822516104112, 0.19811541379635922], \"optimization_time\": 11.135442018508911}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.75 * Z(1) + 0.75 * Z(0) + 0.75 * Z(2) + 1.25 * Z(6) + 1.25 * Z(7) + 1.25 * Z(8) + 0.75 * Z(3) + 0.75 * Z(4) + 0.75 * Z(5) + 0.75 * Z(9) + 0.75 * Z(10) + 0.75 * Z(11)",16,12,2,"{\"smallest_eigenvalues\": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], \"number_of_smallest_eigenvalues\": 24, \"first_excited_energy\": -5.25, \"smallest_bitstrings\": [\"100001010001\", \"010001100010\", \"010001100001\", \"010010001010\", \"010010001100\", \"010100001100\", \"010100001010\", \"001001100010\", \"100001010100\", \"001001100001\", \"010010100001\", \"010010100010\", \"001100010100\", \"001100010001\", \"001001010100\", \"100100010100\", \"100010001100\", \"100100001010\", \"001010100010\", \"001010100001\", \"100100001100\", \"001001010001\", \"100010001010\", \"100100010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(1.6517) q[0];\nrz(0.3272) q[0];\nrx(0.6144) q[1];\nrz(0.8158) q[1];\nrx(1.6594) q[2];\nrz(0.421) q[2];\nrx(1.5101) q[3];\nrz(0.3772) q[3];\nrx(0.6408) q[4];\nrz(0.7526) q[4];\nrx(1.6313) q[5];\nrz(0.396) q[5];\nrx(1.5732) q[6];\nrz(-0.0066) q[6];\nrx(1.6168) q[7];\nrz(0.0029) q[7];\nrx(0.8073) q[8];\nrz(-0.539) q[8];\nrx(1.4254) q[9];\nrz(0.435) q[9];\nrx(0.7347) q[10];\nrz(0.7571) q[10];\nrx(1.6374) q[11];\nrz(0.384) q[11];\ncrz(0.8175) q[1], q[0];\ncrz(-0.0077) q[3], q[2];\ncrz(0.7641) q[5], q[4];\ncrz(0.0059) q[7], q[6];\ncrz(-0.6449) q[9], q[8];\ncrz(0.7655) q[11], q[10];\ncrz(0.8178) q[2], q[1];\ncrz(0.7576) q[4], q[3];\ncrz(0.0021) q[6], q[5];\ncrz(-0.1217) q[8], q[7];\ncrz(0.7681) q[10], q[9];\nrx(1.3274) q[0];\nrz(0.0088) q[0];\nrx(0.58) q[1];\nrz(0.0009) q[1];\nrx(1.3997) q[2];\nrz(0.0055) q[2];\nrx(1.3145) q[3];\nrz(0.0097) q[3];\nrx(0.6012) q[4];\nrz(0.0022) q[4];\nrx(1.449) q[5];\nrz(0.001) q[5];\nrx(1.574) q[6];\nrz(0.0026) q[6];\nrx(1.5286) q[7];\nrz(0.0045) q[7];\nrx(0.8116) q[8];\nrz(0.0035) q[8];\nrx(1.0786) q[9];\nrz(0.0084) q[9];\nrx(0.5938) q[10];\nrz(0.0004) q[10];\nrx(1.4365) q[11];\nrz(0.0017) q[11];\ncrz(0.006) q[1], q[0];\ncrz(0.007) q[3], q[2];\ncrz(0.0086) q[5], q[4];\ncrz(0.0021) q[7], q[6];\ncrz(0.0045) q[9], q[8];\ncrz(0.0006) q[11], q[10];\ncrz(0.0005) q[2], q[1];\ncrz(0.0068) q[4], q[3];\ncrz(0.0055) q[6], q[5];\ncrz(0.0057) q[8], q[7];\ncrz(0.0009) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[1], q[0];\ncrz(x25) q[3], q[2];\ncrz(x26) q[5], q[4];\ncrz(x27) q[7], q[6];\ncrz(x28) q[9], q[8];\ncrz(x29) q[11], q[10];\ncrz(x30) q[2], q[1];\ncrz(x31) q[4], q[3];\ncrz(x32) q[6], q[5];\ncrz(x33) q[8], q[7];\ncrz(x34) q[10], q[9];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x41) q[3];\nrz(x42) q[3];\nrx(x43) q[4];\nrz(x44) q[4];\nrx(x45) q[5];\nrz(x46) q[5];\nrx(x47) q[6];\nrz(x48) q[6];\nrx(x49) q[7];\nrz(x50) q[7];\nrx(x51) q[8];\nrz(x52) q[8];\nrx(x53) q[9];\nrz(x54) q[9];\nrx(x55) q[10];\nrz(x56) q[10];\nrx(x57) q[11];\nrz(x58) q[11];\ncrz(x59) q[1], q[0];\ncrz(x60) q[3], q[2];\ncrz(x61) q[5], q[4];\ncrz(x32) q[7], q[6];\ncrz(x50) q[9], q[8];\ncrz(x62) q[11], q[10];\ncrz(x63) q[2], q[1];\ncrz(x64) q[4], q[3];\ncrz(x40) q[6], q[5];\ncrz(x65) q[8], q[7];\ncrz(x38) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"number_of_colors\": 3}","{\"circuits\": [], \"gradients\": []}"]
["6946fbda84d92871847bf53596399897","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 2}]}","{\"states\": [0, 1], \"expectation_value\": -6.744929308004141, \"params\": [[[0.005200000000000001, 0.13140000000000002], [0.3138, 0.0002], [-0.00030000000000000003, 0.23550000000000001], [0.0028, 0.25120000000000003], [0.0039000000000000003, 0.3093], [0.40190000000000003, 0.0036000000000000003]], [[0.0026000000000000003, 0.192], [0.3139, 0.0021000000000000003], [0.0061, 0.3005], [0.0001, 0.30660000000000004], [0.0013000000000000002, 0.30610000000000004], [0.4072, 0.0036000000000000003]], [[0.003, 0.16], [0.3114, 0.0001], [0.0045000000000000005, 0.317], [0.006500000000000001, 0.19840000000000002], [0.0009000000000000001, 0.29600000000000004], [0.4031, 0.0036000000000000003]], [[0.00030000000000000003, 0.0005], [0.31770000000000004, 0.0001], [0.0008, 0.0015], [-0.0005, 0.0009000000000000001], [0.0041, 0.0025], [0.4032, 0.0056]]], \"bitstrings\": [\"111111\", \"111110\"], \"total_optimization_steps\": 40, \"probabilities\": [0.31257611208207314, 0.34177554485422273], \"optimization_time\": 3.8756721019744873}","-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-12.0, -12.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -10.0, \"smallest_bitstrings\": [\"111110\", \"101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.0052) q[0];\nrz(0.1314) q[0];\nrx(0.3138) q[1];\nrz(0.0002) q[1];\nrx(-0.0003) q[2];\nrz(0.2355) q[2];\nrx(0.0028) q[3];\nrz(0.2512) q[3];\nrx(0.0039) q[4];\nrz(0.3093) q[4];\nrx(0.4019) q[5];\nrz(0.0036) q[5];\nrx(0.0026) q[0];\nrz(0.192) q[0];\nrx(0.3139) q[1];\nrz(0.0021) q[1];\nrx(0.0061) q[2];\nrz(0.3005) q[2];\nrx(0.0001) q[3];\nrz(0.3066) q[3];\nrx(0.0013) q[4];\nrz(0.3061) q[4];\nrx(0.4072) q[5];\nrz(0.0036) q[5];\nrx(0.003) q[0];\nrz(0.16) q[0];\nrx(0.3114) q[1];\nrz(0.0001) q[1];\nrx(0.0045) q[2];\nrz(0.317) q[2];\nrx(0.0065) q[3];\nrz(0.1984) q[3];\nrx(0.0009) q[4];\nrz(0.296) q[4];\nrx(0.4031) q[5];\nrz(0.0036) q[5];\nrx(0.0003) q[0];\nrz(0.0005) q[0];\nrx(0.3177) q[1];\nrz(0.0001) q[1];\nrx(0.0008) q[2];\nrz(0.0015) q[2];\nrx(-0.0005) q[3];\nrz(0.0009) q[3];\nrx(0.0041) q[4];\nrz(0.0025) q[4];\nrx(0.4032) q[5];\nrz(0.0056) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[0];\nrz(x13) q[0];\nrx(x14) q[1];\nrz(x15) q[1];\nrx(x16) q[2];\nrz(x17) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\nrx(x20) q[4];\nrz(x21) q[4];\nrx(x22) q[5];\nrz(x11) q[5];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x18) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x11) q[5];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x18) q[1];\nrx(x36) q[2];\nrz(x37) q[2];\nrx(x38) q[3];\nrz(x30) q[3];\nrx(x39) q[4];\nrz(x40) q[4];\nrx(x41) q[5];\nrz(x42) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["-115130958860663335","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[3, 5], [4, 6], [3, 4], [0, 7], [0, 3], [0, 1], [1, 5], [8, 6], [1, 3], [6, 7], [0, 8], [8, 5], [8, 7], [0, 2], [2, 6], [3, 7], [2, 5], [4, 7], [1, 4], [3, 6], [8, 3]]}","{\"states\": [227, 284], \"expectation_value\": -0.22096952218577764, \"params\": [[0.07680000000000001], [-0.0711]], \"bitstrings\": [\"100011100\", \"011100011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002446804705933895, 0.002446804705933895], \"optimization_time\": 3.625424385070801}","0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(8) + 0.0 * Z(2)",1,9,1,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"100011100\", \"011100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[3];\nrz(0.0768) q[3];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(0.0768) q[4];\ncx q[3], q[4];\ncx q[3], q[6];\nrz(0.0768) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0768) q[6];\ncx q[4], q[6];\ncx q[3], q[0];\nrz(0.0768) q[0];\ncx q[3], q[0];\ncx q[3], q[7];\nrz(0.0768) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.0768) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0768) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(0.0768) q[7];\ncx q[0], q[7];\ncx q[5], q[1];\nrz(0.0768) q[1];\ncx q[5], q[1];\ncx q[3], q[1];\nrz(0.0768) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0768) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(0.0768) q[1];\ncx q[0], q[1];\ncx q[5], q[8];\nrz(0.0768) q[8];\ncx q[5], q[8];\ncx q[3], q[8];\nrz(0.0768) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(0.0768) q[8];\ncx q[6], q[8];\ncx q[0], q[8];\nrz(0.0768) q[8];\ncx q[0], q[8];\ncx q[7], q[8];\nrz(0.0768) q[8];\ncx q[7], q[8];\ncx q[5], q[2];\nrz(0.0768) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(0.0768) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(0.0768) q[2];\ncx q[0], q[2];\nrz(0) q[5];\nrz(0) q[3];\nrz(0) q[4];\nrz(0) q[6];\nrz(0) q[0];\nrz(0) q[7];\nrz(0) q[1];\nrz(0) q[8];\nrz(0) q[2];\nh q[0];\nrz(-0.1422) q[0];\nh q[0];\nh q[1];\nrz(-0.1422) q[1];\nh q[1];\nh q[2];\nrz(-0.1422) q[2];\nh q[2];\nh q[3];\nrz(-0.1422) q[3];\nh q[3];\nh q[4];\nrz(-0.1422) q[4];\nh q[4];\nh q[5];\nrz(-0.1422) q[5];\nh q[5];\nh q[6];\nrz(-0.1422) q[6];\nh q[6];\nh q[7];\nrz(-0.1422) q[7];\nh q[7];\nh q[8];\nrz(-0.1422) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[0], q[8];\nrz(x0) q[8];\ncx q[0], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\nrz(x1) q[5];\nrz(x1) q[3];\nrz(x1) q[4];\nrz(x1) q[6];\nrz(x1) q[0];\nrz(x1) q[7];\nrz(x1) q[1];\nrz(x1) q[8];\nrz(x1) q[2];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nh q[8];\nrz(x2) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["4240333352325895018","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[0, 1, 3, 5, 6, 8], [8, 2], [9, 3, 6], [9, 5, 7], [1, 3, 5, 6, 7, 8, 10], [0, 1, 9], [10, 4, 7], [9, 2], [0, 1, 3, 4, 10], [9, 10, 6, 7], [4, 5], [0, 2], [0, 5, 6, 7], [0, 1, 3, 4, 6]]}","{\"states\": [1758, 1630], \"expectation_value\": -3.8393641297884202, \"params\": [1.8283, -0.041100000000000005, 2.7896, 0.2499, 0.0021000000000000003, 0.8554, 2.8001, 0.7899, 2.7915, 0.7526, 0.4833, 1.0503, 2.6905, -0.0021000000000000003, 2.7688, 0.0033, 2.7554000000000003, 0.0033, 2.7880000000000003, 0.003, -0.002, 0.0041, 1.0258, 1.0270000000000001, -0.0036000000000000003, 1.9592, -0.46090000000000003, -0.256, 0.44680000000000003, 0.37320000000000003, 0.3976, 0.4696], \"bitstrings\": [\"00100100001\", \"00110100001\"], \"total_optimization_steps\": 280, \"probabilities\": [0.3677856353626017, 0.48619581667988576], \"optimization_time\": 76.64726781845093}","0.3 * (Z(0) @ Z(1)) + 0.15714285714285714 * (Z(3) @ Z(1)) + 0.13333333333333336 * (Z(3) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(1)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(3)) + 0.10714285714285715 * (Z(6) @ Z(1)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.2738095238095238 * (Z(6) @ Z(3)) + 0.14047619047619048 * (Z(6) @ Z(5)) + 0.05714285714285714 * (Z(8) @ Z(1)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.05714285714285714 * (Z(8) @ Z(3)) + 0.05714285714285714 * (Z(8) @ Z(5)) + 0.05714285714285714 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.25 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.023809523809523808 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.023809523809523808 * (Z(7) @ Z(3)) + 0.2738095238095238 * (Z(7) @ Z(5)) + 0.19047619047619047 * (Z(7) @ Z(6)) + 0.023809523809523808 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(9)) + 0.07380952380952381 * (Z(10) @ Z(1)) + 0.05 * (Z(10) @ Z(0)) + 0.07380952380952381 * (Z(10) @ Z(3)) + 0.023809523809523808 * (Z(10) @ Z(5)) + 0.10714285714285714 * (Z(10) @ Z(6)) + 0.023809523809523808 * (Z(10) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(9)) + 0.2738095238095238 * (Z(10) @ Z(7)) + 0.1 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.05 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.21666666666666667 * (Z(4) @ Z(10)) + 0.5214285714285716 * Z(1) + 0.5750000000000002 * Z(0) + 0.5214285714285716 * Z(3) + 0.4464285714285714 * Z(5) + 0.6714285714285716 * Z(6) + 0.15476190476190477 * Z(8) + 0.0 * Z(2) + 0.6249999999999998 * Z(9) + 0.6547619047619048 * Z(7) + 0.463095238095238 * Z(10) + 0.3666666666666668 * Z(4)",4,11,1,"{\"smallest_eigenvalues\": [-4.242857142857145], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.242857142857144, \"smallest_bitstrings\": [\"00110100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(1.8283) q[0];\nrz(-0.0411) q[0];\nrx(2.7896) q[1];\nrz(0.2499) q[1];\nrx(0.0021) q[2];\nrz(0.8554) q[2];\nrx(2.8001) q[3];\nrz(0.7899) q[3];\nrx(2.7915) q[4];\nrz(0.7526) q[4];\nrx(0.4833) q[5];\nrz(1.0503) q[5];\nrx(2.6905) q[6];\nrz(-0.0021) q[6];\nrx(2.7688) q[7];\nrz(0.0033) q[7];\nrx(2.7554) q[8];\nrz(0.0033) q[8];\nrx(2.788) q[9];\nrz(0.003) q[9];\nrx(-0.002) q[10];\nrz(0.0041) q[10];\ncrx(0.4696) q[10], q[9];\ncrx(0.3976) q[9], q[8];\ncrx(0.3732) q[8], q[7];\ncrx(0.4468) q[7], q[6];\ncrx(-0.256) q[6], q[5];\ncrx(-0.4609) q[5], q[4];\ncrx(1.9592) q[4], q[3];\ncrx(-0.0036) q[3], q[2];\ncrx(1.027) q[2], q[1];\ncrx(1.0258) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x15) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\ncrx(x21) q[10], q[9];\ncrx(x22) q[9], q[8];\ncrx(x23) q[8], q[7];\ncrx(x24) q[7], q[6];\ncrx(x25) q[6], q[5];\ncrx(x26) q[5], q[4];\ncrx(x27) q[4], q[3];\ncrx(x28) q[3], q[2];\ncrx(x29) q[2], q[1];\ncrx(x30) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["9ee98ef8a7f7cf3d252e75cdff7e85b3","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [46, 77], \"expectation_value\": -0.06084197644510144, \"params\": [[-0.0646], [0.0639]], \"bitstrings\": [\"1010001\", \"0110010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008657558781575548, 0.00865755878157555], \"optimization_time\": 2.1502437591552734}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(0) @ Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + -0.125 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.125 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -0.5 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-3.125, -3.125], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.125, \"smallest_bitstrings\": [\"1010001\", \"0110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0646) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0646) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(-0.0646) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(-0.0162) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0162) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(-0.0162) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(-0.0162) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(-0.0162) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(-0.0162) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.0162) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(0.0162) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(0.0162) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(0.0162) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0162) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[6];\nrz(-0.0646) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(-0.0646) q[6];\ncx q[1], q[6];\nrz(0.0162) q[0];\nrz(0.0646) q[1];\nrz(0.0646) q[2];\nrz(0.0162) q[3];\nrz(0.0162) q[4];\nrz(0.0162) q[5];\nrz(0.0646) q[6];\nh q[0];\nrz(0.1278) q[0];\nh q[0];\nh q[1];\nrz(0.1278) q[1];\nh q[1];\nh q[2];\nrz(0.1278) q[2];\nh q[2];\nh q[3];\nrz(0.1278) q[3];\nh q[3];\nh q[4];\nrz(0.1278) q[4];\nh q[4];\nh q[5];\nrz(0.1278) q[5];\nh q[5];\nh q[6];\nrz(0.1278) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(x1) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(x1) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(x2) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x3) q[2];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x3) q[6];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["d9991d93e92cfaeaa2585f712a637683","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 20, \"source\": 0, \"target\": 4}, {\"weight\": 12, \"source\": 1, \"target\": 8}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 9, \"source\": 4, \"target\": 5}, {\"weight\": 16, \"source\": 4, \"target\": 7}, {\"weight\": 13, \"source\": 5, \"target\": 8}, {\"weight\": 3, \"source\": 6, \"target\": 7}, {\"weight\": 20, \"source\": 7, \"target\": 8}]}","{\"states\": [397, 205], \"expectation_value\": -48.18094325370344, \"params\": [[-0.0315, 0.0852], [0.2232, -0.2419]], \"bitstrings\": [\"001110010\", \"100110010\"], \"total_optimization_steps\": 30, \"probabilities\": [0.04278677672148318, 0.04521745356423861], \"optimization_time\": 3.294055700302124}","5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 15.0 * Z(1) + 4.5 * Z(0) + 11.0 * Z(2) + 9.5 * Z(4) + 18.0 * Z(5) + 11.5 * Z(6) + 1.5 * Z(7) + 20.0 * Z(8) + -5.0 * Z(3)",1,9,2,"{\"smallest_eigenvalues\": [-75.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -72.0, \"smallest_bitstrings\": [\"100110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.315) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.315) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.315) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(-0.315) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.315) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.315) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.315) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(-0.315) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(-0.315) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(-0.315) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(-0.315) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.315) q[8];\ncx q[7], q[8];\nrz(-0.945) q[1];\nrz(-0.2835) q[0];\nrz(-0.693) q[2];\nrz(-0.5985) q[4];\nrz(-1.134) q[5];\nrz(-0.7245) q[6];\nrz(-0.0945) q[7];\nrz(-1.26) q[8];\nrz(0.315) q[3];\nh q[0];\nrz(0.4464) q[0];\nh q[0];\nh q[1];\nrz(0.4464) q[1];\nh q[1];\nh q[2];\nrz(0.4464) q[2];\nh q[2];\nh q[3];\nrz(0.4464) q[3];\nh q[3];\nh q[4];\nrz(0.4464) q[4];\nh q[4];\nh q[5];\nrz(0.4464) q[5];\nh q[5];\nh q[6];\nrz(0.4464) q[6];\nh q[6];\nh q[7];\nrz(0.4464) q[7];\nh q[7];\nh q[8];\nrz(0.4464) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.852) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.852) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.852) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(0.852) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.852) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.852) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.852) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(0.852) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(0.852) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(0.852) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(0.852) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.852) q[8];\ncx q[7], q[8];\nrz(2.556) q[1];\nrz(0.7668) q[0];\nrz(1.8744) q[2];\nrz(1.6188) q[4];\nrz(3.0672) q[5];\nrz(1.9596) q[6];\nrz(0.2556) q[7];\nrz(3.408) q[8];\nrz(-0.852) q[3];\nh q[0];\nrz(-0.4838) q[0];\nh q[0];\nh q[1];\nrz(-0.4838) q[1];\nh q[1];\nh q[2];\nrz(-0.4838) q[2];\nh q[2];\nh q[3];\nrz(-0.4838) q[3];\nh q[3];\nh q[4];\nrz(-0.4838) q[4];\nh q[4];\nh q[5];\nrz(-0.4838) q[5];\nh q[5];\nh q[6];\nrz(-0.4838) q[6];\nh q[6];\nh q[7];\nrz(-0.4838) q[7];\nh q[7];\nh q[8];\nrz(-0.4838) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x7) q[7];\nrz(x8) q[8];\nrz(x9) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x11) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x11) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(x11) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(x11) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x11) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x11) q[8];\ncx q[7], q[8];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[2];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nrz(x19) q[8];\nrz(x20) q[3];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 9}\"}","{\"circuits\": [], \"gradients\": []}"]
["572fd0f9ecd1a35670a297ec1414a2ae","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}, {\"source\": 11, \"target\": 12}]}","{\"states\": [4095, 4094], \"expectation_value\": -1.1816377327083465, \"params\": [[-0.06960000000000001], [0.06470000000000001]], \"bitstrings\": [\"000000000000\", \"000000000001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00042371485877569666, 0.0004313966289336878], \"optimization_time\": 2.256274700164795}","-1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(10) + -0.5 * Z(11)",1,12,1,"{\"smallest_eigenvalues\": [-20.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.5, \"smallest_bitstrings\": [\"000000000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[2], q[0];\nrz(0.2088) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0696) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(0.2784) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0696) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(0.2088) q[3];\ncx q[1], q[3];\ncx q[5], q[4];\nrz(0.2088) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(0.2088) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.2088) q[6];\ncx q[4], q[6];\ncx q[8], q[7];\nrz(0.2784) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(-0.1392) q[9];\ncx q[8], q[9];\ncx q[7], q[9];\nrz(0.2784) q[9];\ncx q[7], q[9];\ncx q[8], q[10];\nrz(0.2784) q[10];\ncx q[8], q[10];\ncx q[7], q[10];\nrz(-0.1392) q[10];\ncx q[7], q[10];\ncx q[9], q[10];\nrz(0.2784) q[10];\ncx q[9], q[10];\nrz(-0.0696) q[2];\nrz(-0.0696) q[0];\nrz(-0.0696) q[1];\nrz(-0.0696) q[3];\nrz(-0.0696) q[5];\nrz(-0.0696) q[4];\nrz(-0.0696) q[6];\nrz(-0.0696) q[8];\nrz(-0.0696) q[7];\nrz(-0.0696) q[9];\nrz(-0.0696) q[10];\nrz(0.0696) q[11];\nh q[0];\nrz(0.1294) q[0];\nh q[0];\nh q[1];\nrz(0.1294) q[1];\nh q[1];\nh q[2];\nrz(0.1294) q[2];\nh q[2];\nh q[3];\nrz(0.1294) q[3];\nh q[3];\nh q[4];\nrz(0.1294) q[4];\nh q[4];\nh q[5];\nrz(0.1294) q[5];\nh q[5];\nh q[6];\nrz(0.1294) q[6];\nh q[6];\nh q[7];\nrz(0.1294) q[7];\nh q[7];\nh q[8];\nrz(0.1294) q[8];\nh q[8];\nh q[9];\nrz(0.1294) q[9];\nh q[9];\nh q[10];\nrz(0.1294) q[10];\nh q[10];\nh q[11];\nrz(0.1294) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[8], q[7];\nrz(x2) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(x3) q[9];\ncx q[8], q[9];\ncx q[7], q[9];\nrz(x2) q[9];\ncx q[7], q[9];\ncx q[8], q[10];\nrz(x2) q[10];\ncx q[8], q[10];\ncx q[7], q[10];\nrz(x3) q[10];\ncx q[7], q[10];\ncx q[9], q[10];\nrz(x2) q[10];\ncx q[9], q[10];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[1];\nrz(x1) q[3];\nrz(x1) q[5];\nrz(x1) q[4];\nrz(x1) q[6];\nrz(x1) q[8];\nrz(x1) q[7];\nrz(x1) q[9];\nrz(x1) q[10];\nrz(x4) q[11];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nh q[11];\nrz(x5) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"node\": 12}","{\"circuits\": [], \"gradients\": []}"]
["ca80a1081391714ec98f68c48872633f","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 3, \"source\": 5, \"target\": 3}]}","{\"states\": [63, 1], \"expectation_value\": -0.654103916317464, \"params\": [[0.061200000000000004, 0.057, 0.0275], [-0.062200000000000005, -0.061000000000000006, -0.0337]], \"bitstrings\": [\"1000000\", \"1111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012978042582657511, 0.013125866850090125], \"optimization_time\": 4.88110089302063}","-0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -0.75 * Z(3)",1,7,3,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1000000\", \"1111110\", \"1101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0306) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0612) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(-0.0918) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0306) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.1836) q[4];\ncx q[2], q[4];\ncx q[0], q[6];\nrz(0.1224) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0612) q[6];\ncx q[2], q[6];\ncx q[5], q[3];\nrz(-0.0918) q[3];\ncx q[5], q[3];\ncx q[4], q[3];\nrz(-0.0306) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(-0.0306) q[3];\ncx q[6], q[3];\nrz(0) q[1];\nrz(-0.0306) q[0];\nrz(0.0306) q[2];\nrz(0.0306) q[5];\nrz(0.0306) q[4];\nrz(0.0306) q[6];\nrz(-0.0918) q[3];\nh q[0];\nrz(-0.1244) q[0];\nh q[0];\nh q[1];\nrz(-0.1244) q[1];\nh q[1];\nh q[2];\nrz(-0.1244) q[2];\nh q[2];\nh q[3];\nrz(-0.1244) q[3];\nh q[3];\nh q[4];\nrz(-0.1244) q[4];\nh q[4];\nh q[5];\nrz(-0.1244) q[5];\nh q[5];\nh q[6];\nrz(-0.1244) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0285) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.057) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(-0.0855) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0285) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.171) q[4];\ncx q[2], q[4];\ncx q[0], q[6];\nrz(0.114) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.057) q[6];\ncx q[2], q[6];\ncx q[5], q[3];\nrz(-0.0855) q[3];\ncx q[5], q[3];\ncx q[4], q[3];\nrz(-0.0285) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(-0.0285) q[3];\ncx q[6], q[3];\nrz(0) q[1];\nrz(-0.0285) q[0];\nrz(0.0285) q[2];\nrz(0.0285) q[5];\nrz(0.0285) q[4];\nrz(0.0285) q[6];\nrz(-0.0855) q[3];\nh q[0];\nrz(-0.122) q[0];\nh q[0];\nh q[1];\nrz(-0.122) q[1];\nh q[1];\nh q[2];\nrz(-0.122) q[2];\nh q[2];\nh q[3];\nrz(-0.122) q[3];\nh q[3];\nh q[4];\nrz(-0.122) q[4];\nh q[4];\nh q[5];\nrz(-0.122) q[5];\nh q[5];\nh q[6];\nrz(-0.122) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0138) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0275) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(-0.0413) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0138) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(-0.0825) q[4];\ncx q[2], q[4];\ncx q[0], q[6];\nrz(0.055) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0275) q[6];\ncx q[2], q[6];\ncx q[5], q[3];\nrz(-0.0413) q[3];\ncx q[5], q[3];\ncx q[4], q[3];\nrz(-0.0138) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(-0.0138) q[3];\ncx q[6], q[3];\nrz(0) q[1];\nrz(-0.0138) q[0];\nrz(0.0138) q[2];\nrz(0.0138) q[5];\nrz(0.0138) q[4];\nrz(0.0138) q[6];\nrz(-0.0413) q[3];\nh q[0];\nrz(-0.0674) q[0];\nh q[0];\nh q[1];\nrz(-0.0674) q[1];\nh q[1];\nh q[2];\nrz(-0.0674) q[2];\nh q[2];\nh q[3];\nrz(-0.0674) q[3];\nh q[3];\nh q[4];\nrz(-0.0674) q[4];\nh q[4];\nh q[5];\nrz(-0.0674) q[5];\nh q[5];\nh q[6];\nrz(-0.0674) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[0], q[6];\nrz(x4) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\nrz(x5) q[1];\nrz(x0) q[0];\nrz(x6) q[2];\nrz(x6) q[5];\nrz(x6) q[4];\nrz(x6) q[6];\nrz(x2) q[3];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x11) q[4];\ncx q[2], q[4];\ncx q[0], q[6];\nrz(x12) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[5], q[3];\nrz(x10) q[3];\ncx q[5], q[3];\ncx q[4], q[3];\nrz(x8) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(x8) q[3];\ncx q[6], q[3];\nrz(x5) q[1];\nrz(x8) q[0];\nrz(x13) q[2];\nrz(x13) q[5];\nrz(x13) q[4];\nrz(x13) q[6];\nrz(x10) q[3];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nh q[4];\nrz(x14) q[4];\nh q[4];\nh q[5];\nrz(x14) q[5];\nh q[5];\nh q[6];\nrz(x14) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x15) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x16) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x17) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x15) q[5];\ncx q[2], q[5];\ncx q[2], q[4];\nrz(x18) q[4];\ncx q[2], q[4];\ncx q[0], q[6];\nrz(x19) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x16) q[6];\ncx q[2], q[6];\ncx q[5], q[3];\nrz(x17) q[3];\ncx q[5], q[3];\ncx q[4], q[3];\nrz(x15) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(x15) q[3];\ncx q[6], q[3];\nrz(x5) q[1];\nrz(x15) q[0];\nrz(x20) q[2];\nrz(x20) q[5];\nrz(x20) q[4];\nrz(x20) q[6];\nrz(x17) q[3];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["2420526458700608399","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[2, 4], [1, 3], [2, 5], [0, 3], [0, 4], [3, 5]]}","{\"states\": [19, 44], \"expectation_value\": -0.026946206549180535, \"params\": [[-0.043500000000000004], [0.052000000000000005]], \"bitstrings\": [\"101100\", \"010011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.016191979224106402, 0.016191979224106402], \"optimization_time\": 0.7430462837219238}","0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0)",1,6,1,"{\"smallest_eigenvalues\": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], \"number_of_smallest_eigenvalues\": 10, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"001100\", \"001110\", \"101100\", \"110001\", \"110011\", \"000111\", \"000110\", \"010011\", \"111001\", \"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[4], q[2];\nrz(-0.0435) q[2];\ncx q[4], q[2];\ncx q[3], q[1];\nrz(-0.0435) q[1];\ncx q[3], q[1];\ncx q[2], q[5];\nrz(-0.0435) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0435) q[5];\ncx q[3], q[5];\ncx q[4], q[0];\nrz(-0.0435) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(-0.0435) q[0];\ncx q[3], q[0];\nrz(0) q[4];\nrz(0) q[2];\nrz(0) q[3];\nrz(0) q[1];\nrz(0) q[5];\nrz(0) q[0];\nh q[0];\nrz(0.104) q[0];\nh q[0];\nh q[1];\nrz(0.104) q[1];\nh q[1];\nh q[2];\nrz(0.104) q[2];\nh q[2];\nh q[3];\nrz(0.104) q[3];\nh q[3];\nh q[4];\nrz(0.104) q[4];\nh q[4];\nh q[5];\nrz(0.104) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\nrz(x1) q[4];\nrz(x1) q[2];\nrz(x1) q[3];\nrz(x1) q[1];\nrz(x1) q[5];\nrz(x1) q[0];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["-6498693962628378925","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 2, 3], [1, 3], [0, 2, 4], [0, 3, 6], [4, 5], [0, 5], [3, 4], [2, 6], [4, 6], [1, 4], [0, 1]]}","{\"states\": [90, 92], \"expectation_value\": -3.084489091100861, \"params\": null, \"bitstrings\": [\"0100101\", \"0100011\"], \"total_optimization_steps\": 43, \"probabilities\": [0.08233784415962961, 0.8424948088529648], \"optimization_time\": 50.9578492641449}","0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.33333333333333326 * Z(2) + 0.5 * Z(0) + 0.3333333333333335 * Z(3) + 0.0 * Z(1) + 0.16666666666666652 * Z(4) + 0.16666666666666674 * Z(6) + 0.0 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-3.333333333333333], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.333333333333332, \"smallest_bitstrings\": [\"0100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4449) q[0];\ncry(-1.4433) q[0], q[1];\ncry(-1.4433) q[4], q[5];\nry(1.2162) q[4];\nry(-0.7105) q[5];\ncry(-1.3704) q[4], q[6];\nry(1.1661) q[2];\ncry(0.2174) q[0], q[4];\ncry(-0.2216) q[2], q[6];\nry(0.5928) q[3];\nry(-0.1279) q[1];\ncry(0.4385) q[0], q[3];\ncry(0.095) q[4], q[0];\ncry(0.2312) q[0], q[2];\ncry(-0.0685) q[0], q[5];\ncry(0.2339) q[2], q[3];\ncry(0.132) q[5], q[3];\ncry(-0.0264) q[0], q[6];\ncry(0.098) q[4], q[2];\ncry(-0.0926) q[5], q[6];\ncry(0.0246) q[2], q[4];\ncry(-0.0565) q[5], q[4];\ncry(0.0378) q[3], q[2];\ncry(-0.0427) q[6], q[4];\ncry(-0.0031) q[4], q[1];\ncry(0.0319) q[6], q[3];\ncry(0.0075) q[2], q[5];\ncry(-0.004) q[3], q[0];\ncry(-0.0227) q[6], q[2];\ncry(0.0053) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":32125,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\ncry(-1.4433) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\ncry(-1.4433) q[0], q[1];\\ncry(-1.4433) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\ncry(-1.4433) q[0], q[1];\\ncry(-1.4433) q[4], q[5];\\nry(1.2162) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\ncry(-1.4433) q[0], q[1];\\ncry(-1.4433) q[4], q[5];\\nry(1.2162) q[4];\\nry(-0.7105) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\ncry(-1.4433) q[0], q[1];\\ncry(-1.4433) q[4], q[5];\\nry(1.2162) q[4];\\nry(-0.7105) q[5];\\ncry(-1.3704) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\ncry(-1.4433) q[0], q[1];\\ncry(-1.4433) q[4], q[5];\\nry(1.2162) q[4];\\nry(-0.7105) q[5];\\ncry(-1.3704) q[4], q[6];\\nry(1.1661) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\ncry(-1.4433) q[0], q[1];\\ncry(-1.4433) q[4], q[5];\\nry(1.2162) q[4];\\nry(-0.7105) q[5];\\ncry(-1.3704) q[4], q[6];\\nry(1.1661) q[2];\\ncry(0.2174) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\ncry(-1.4433) q[0], q[1];\\ncry(-1.4433) q[4], q[5];\\nry(1.2162) q[4];\\nry(-0.7105) q[5];\\ncry(-1.3704) q[4], q[6];\\nry(1.1661) q[2];\\ncry(0.2174) q[0], q[4];\\ncry(-0.2216) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.4449) q[0];\\ncry(-1.4433) q[0], q[1];\\ncry(-1.4433) q[4], q[5];\\nry(1.2162) q[4];\\nry(-0.7105) q[5];\\ncry(-1.3704) q[4], q[6];\\nry(1.1661) q[2];\\ncry(0.2174) q[0], q[4];\\ncry(-0.2216) q[2], q[6];\\nry(0.5928) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OP"}}]
["a8cb958af377872a19dc800d4cc03b57","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 9}, {\"source\": 6, \"target\": 10}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 10}]}","{\"states\": [0, 1023], \"expectation_value\": -32.66656753573105, \"params\": [[[0.0021000000000000003, 1.6126], [0.0019, 0.0021000000000000003], [0.0018000000000000002, 0.0019], [0.0019, 0.0019], [0.0018000000000000002, 0.002], [0.0021000000000000003, 0.0019], [0.0021000000000000003, 0.0019], [0.0023, 0.0021000000000000003], [0.0019, 0.0022], [0.0027, 0.0024000000000000002]]], \"bitstrings\": [\"1111111111\", \"0000000000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.47911331681454017, 0.5208662928629803], \"optimization_time\": 5.384278297424316}","-3.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(4)) + -2.5 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -2.5 * (Z(1) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(2) @ Z(7)) + -2.5 * (Z(2) @ Z(6)) + 1.0 * (Z(2) @ Z(9)) + -2.5 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -2.0 * (Z(8) @ Z(2)) + 1.0 * Z(3) + -2.0 * Z(0) + 1.0 * Z(4) + 1.0 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.5 * Z(2) + 0.5 * Z(8)",15,10,1,"{\"smallest_eigenvalues\": [-36.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -33.5, \"smallest_bitstrings\": [\"0000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.0021) q[0];\nry(0.0019) q[1];\nry(0.0018) q[2];\nry(0.0019) q[3];\nry(0.0018) q[4];\nry(0.0021) q[5];\nry(0.0021) q[6];\nry(0.0023) q[7];\nry(0.0019) q[8];\nry(0.0027) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.6126) q[0];\nry(0.0021) q[1];\nry(0.0019) q[2];\nry(0.0019) q[3];\nry(0.002) q[4];\nry(0.0019) q[5];\nry(0.0019) q[6];\nry(0.0021) q[7];\nry(0.0022) q[8];\nry(0.0024) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x1) q[3];\nry(x2) q[4];\nry(x0) q[5];\nry(x0) q[6];\nry(x3) q[7];\nry(x1) q[8];\nry(x4) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x5) q[0];\nry(x0) q[1];\nry(x1) q[2];\nry(x1) q[3];\nry(x6) q[4];\nry(x1) q[5];\nry(x1) q[6];\nry(x0) q[7];\nry(x7) q[8];\nry(x8) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["-2474318820250223450","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[1, 3], [0, 9, 3, 4], [8, 2, 4, 5], [1, 2, 4], [10, 6], [2, 4, 6], [9, 4, 6], [0, 8, 2, 4], [8, 1, 4, 7], [0, 3, 7], [6, 7], [0, 1, 4, 5], [0, 6], [2, 3, 5], [5, 7], [8, 1, 4, 5], [9, 7], [0, 2, 3, 4], [8, 3]]}","{\"states\": [667, 1691], \"expectation_value\": -4.317129485218355, \"params\": [0.8589, 0.8626, 1.5774000000000001, 1.5805, 0.0039000000000000003, 0.0058000000000000005, 1.5801, 1.5562, 0.2071, 0.2111, 0.6813, 0.6763, 1.5792000000000002, 1.5657, 1.5786, 1.5713000000000001, 0.07010000000000001, 0.0658, 1.3593000000000002, 1.3695000000000002, 1.5772000000000002, 1.5773000000000001, 0.0027, 0.0011, -0.0036000000000000003, 0.0015, -0.0002, 0.0045000000000000005, -0.5975, 0.0022, -0.0927, 0.0038, 0.6948000000000001, 0.0085, 0.0946, 0.0007, -0.0114, 0.0044, -0.024800000000000003, 0.0041, 0.7703, 0.004, 0.0027, 0.0044], \"bitstrings\": [\"10101100100\", \"00101100100\"], \"total_optimization_steps\": 170, \"probabilities\": [0.23527722357583444, 0.3184204536440485], \"optimization_time\": 7.785404682159424}","0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(10) @ Z(4)) + 0.08333333333333333 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.41666666666666663 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(10)) + 0.5 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5833333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5833333333333333 * Z(4) + 0.541666666666667 * Z(1) + 0.6666666666666667 * Z(0) + 0.29166666666666663 * Z(10) + 1.375 * Z(5) + 0.5 * Z(9) + 0.8750000000000001 * Z(3) + 0.5416666666666667 * Z(6) + 0.3333333333333337 * Z(7) + 0.0 * Z(2) + 0.2916666666666665 * Z(8)",13,11,1,"{\"smallest_eigenvalues\": [-5.333333333333336], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.333333333333334, \"smallest_bitstrings\": [\"00101100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.8589) q[0];\nry(1.5774) q[1];\nry(0.0039) q[2];\nry(1.5801) q[3];\nry(0.2071) q[4];\nry(0.6813) q[5];\nry(1.5792) q[6];\nry(1.5786) q[7];\nry(0.0701) q[8];\nry(1.3593) q[9];\nry(1.5772) q[10];\ncrz(0.0027) q[10], q[0];\ncrz(0.0027) q[9], q[10];\ncrz(0.7703) q[8], q[9];\ncrz(-0.0248) q[7], q[8];\ncrz(-0.0114) q[6], q[7];\ncrz(0.0946) q[5], q[6];\ncrz(0.6948) q[4], q[5];\ncrz(-0.0927) q[3], q[4];\ncrz(-0.5975) q[2], q[3];\ncrz(-0.0002) q[1], q[2];\ncrz(-0.0036) q[0], q[1];\nry(0.8626) q[0];\nry(1.5805) q[1];\nry(0.0058) q[2];\nry(1.5562) q[3];\nry(0.2111) q[4];\nry(0.6763) q[5];\nry(1.5657) q[6];\nry(1.5713) q[7];\nry(0.0658) q[8];\nry(1.3695) q[9];\nry(1.5773) q[10];\ncrz(0.0011) q[10], q[9];\ncrz(0.0015) q[0], q[10];\ncrz(0.0045) q[0], q[1];\ncrz(0.0022) q[1], q[2];\ncrz(0.0038) q[2], q[3];\ncrz(0.0085) q[3], q[4];\ncrz(0.0007) q[4], q[5];\ncrz(0.0044) q[5], q[6];\ncrz(0.0041) q[6], q[7];\ncrz(0.004) q[7], q[8];\ncrz(0.0044) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrz(x11) q[10], q[0];\ncrz(x11) q[9], q[10];\ncrz(x12) q[8], q[9];\ncrz(x13) q[7], q[8];\ncrz(x14) q[6], q[7];\ncrz(x15) q[5], q[6];\ncrz(x16) q[4], q[5];\ncrz(x17) q[3], q[4];\ncrz(x18) q[2], q[3];\ncrz(x19) q[1], q[2];\ncrz(x20) q[0], q[1];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x26) q[5];\nry(x27) q[6];\nry(x28) q[7];\nry(x29) q[8];\nry(x30) q[9];\nry(x31) q[10];\ncrz(x32) q[10], q[9];\ncrz(x33) q[0], q[10];\ncrz(x34) q[0], q[1];\ncrz(x35) q[1], q[2];\ncrz(x36) q[2], q[3];\ncrz(x37) q[3], q[4];\ncrz(x38) q[4], q[5];\ncrz(x39) q[5], q[6];\ncrz(x40) q[6], q[7];\ncrz(x41) q[7], q[8];\ncrz(x39) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["2ad6d55856f69d2786e314d4b42f7213","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 10, \"target\": 11}]}","{\"states\": [2047, 2046], \"expectation_value\": -0.9885209462837441, \"params\": [[-0.0675], [0.0655]], \"bitstrings\": [\"00000000000\", \"00000000001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0007529442580873728, 0.0007663281662578388], \"optimization_time\": 3.192042350769043}","-2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) + -0.5 * Z(10)",1,11,1,"{\"smallest_eigenvalues\": [-17.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"00000000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(0.27) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0675) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.27) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0675) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.27) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2025) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(0.27) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(-0.0675) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.27) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(-0.0675) q[7];\ncx q[5], q[7];\ncx q[4], q[7];\nrz(0.27) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0675) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(0.135) q[8];\ncx q[9], q[8];\nrz(-0.0675) q[1];\nrz(-0.0675) q[0];\nrz(-0.0675) q[2];\nrz(-0.0675) q[3];\nrz(-0.0675) q[5];\nrz(-0.0675) q[4];\nrz(-0.0675) q[6];\nrz(-0.0675) q[7];\nrz(-0.0675) q[9];\nrz(-0.0675) q[8];\nrz(0.0675) q[10];\nh q[0];\nrz(0.131) q[0];\nh q[0];\nh q[1];\nrz(0.131) q[1];\nh q[1];\nh q[2];\nrz(0.131) q[2];\nh q[2];\nh q[3];\nrz(0.131) q[3];\nh q[3];\nh q[4];\nrz(0.131) q[4];\nh q[4];\nh q[5];\nrz(0.131) q[5];\nh q[5];\nh q[6];\nrz(0.131) q[6];\nh q[6];\nh q[7];\nrz(0.131) q[7];\nh q[7];\nh q[8];\nrz(0.131) q[8];\nh q[8];\nh q[9];\nrz(0.131) q[9];\nh q[9];\nh q[10];\nrz(0.131) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(x1) q[7];\ncx q[5], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(x3) q[8];\ncx q[9], q[8];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x1) q[3];\nrz(x1) q[5];\nrz(x1) q[4];\nrz(x1) q[6];\nrz(x1) q[7];\nrz(x1) q[9];\nrz(x1) q[8];\nrz(x4) q[10];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 11}","{\"circuits\": [], \"gradients\": []}"]
["16efd0d1722058bdcecd0a47f621047a","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [24, 35], \"expectation_value\": -0.768483917179364, \"params\": [[0.06570000000000001, 0.0722, 0.061900000000000004], [-0.053500000000000006, -0.0708, -0.0589]], \"bitstrings\": [\"100111\", \"011100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.024074124428496785, 0.0272385214277566], \"optimization_time\": 4.461611747741699}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5)",1,6,3,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(0.0657) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0657) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0657) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0657) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.0657) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(0.0657) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0657) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0657) q[5];\ncx q[3], q[5];\nrz(-0.1314) q[1];\nrz(-0.1314) q[0];\nrz(-0.1314) q[2];\nrz(-0.1314) q[3];\nrz(0) q[4];\nrz(-0.1314) q[5];\nh q[0];\nrz(-0.107) q[0];\nh q[0];\nh q[1];\nrz(-0.107) q[1];\nh q[1];\nh q[2];\nrz(-0.107) q[2];\nh q[2];\nh q[3];\nrz(-0.107) q[3];\nh q[3];\nh q[4];\nrz(-0.107) q[4];\nh q[4];\nh q[5];\nrz(-0.107) q[5];\nh q[5];\ncx q[1], q[0];\nrz(0.0722) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0722) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0722) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0722) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.0722) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(0.0722) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0722) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0722) q[5];\ncx q[3], q[5];\nrz(-0.1444) q[1];\nrz(-0.1444) q[0];\nrz(-0.1444) q[2];\nrz(-0.1444) q[3];\nrz(0) q[4];\nrz(-0.1444) q[5];\nh q[0];\nrz(-0.1416) q[0];\nh q[0];\nh q[1];\nrz(-0.1416) q[1];\nh q[1];\nh q[2];\nrz(-0.1416) q[2];\nh q[2];\nh q[3];\nrz(-0.1416) q[3];\nh q[3];\nh q[4];\nrz(-0.1416) q[4];\nh q[4];\nh q[5];\nrz(-0.1416) q[5];\nh q[5];\ncx q[1], q[0];\nrz(0.0619) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0619) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0619) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0619) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.0619) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(0.0619) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0619) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0619) q[5];\ncx q[3], q[5];\nrz(-0.1238) q[1];\nrz(-0.1238) q[0];\nrz(-0.1238) q[2];\nrz(-0.1238) q[3];\nrz(0) q[4];\nrz(-0.1238) q[5];\nh q[0];\nrz(-0.1178) q[0];\nh q[0];\nh q[1];\nrz(-0.1178) q[1];\nh q[1];\nh q[2];\nrz(-0.1178) q[2];\nh q[2];\nh q[3];\nrz(-0.1178) q[3];\nh q[3];\nh q[4];\nrz(-0.1178) q[4];\nh q[4];\nh q[5];\nrz(-0.1178) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x1) q[3];\nrz(x2) q[4];\nrz(x1) q[5];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x4) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x4) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x4) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\nrz(x5) q[1];\nrz(x5) q[0];\nrz(x5) q[2];\nrz(x5) q[3];\nrz(x2) q[4];\nrz(x5) q[5];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x7) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x7) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x7) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x7) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x7) q[5];\ncx q[3], q[5];\nrz(x8) q[1];\nrz(x8) q[0];\nrz(x8) q[2];\nrz(x8) q[3];\nrz(x2) q[4];\nrz(x8) q[5];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["1191675002883320459","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 8, 3, 6], [8, 1], [2, 3], [4, 6], [4, 5], [2, 7]]}","{\"states\": [460, 430], \"expectation_value\": -1.0993956535095426, \"params\": [[-0.44830000000000003], [0.4118]], \"bitstrings\": [\"000110011\", \"001010001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.011694200988128674, 0.01179631831475373], \"optimization_time\": 2.1335365772247314}","0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.125 * Z(8) + 0.125 * Z(0) + 0.125 * Z(3) + 0.125 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-2.75, -2.75, -2.75, -2.75], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.666666666666667, \"smallest_bitstrings\": [\"011001100\", \"111010000\", \"010110010\", \"001010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[8], q[0];\nrz(-0.0747) q[0];\ncx q[8], q[0];\ncx q[8], q[3];\nrz(-0.0747) q[3];\ncx q[8], q[3];\ncx q[0], q[3];\nrz(-0.0747) q[3];\ncx q[0], q[3];\ncx q[8], q[6];\nrz(-0.0747) q[6];\ncx q[8], q[6];\ncx q[0], q[6];\nrz(-0.0747) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(-0.0747) q[6];\ncx q[3], q[6];\ncx q[8], q[1];\nrz(-0.4483) q[1];\ncx q[8], q[1];\ncx q[3], q[2];\nrz(-0.4483) q[2];\ncx q[3], q[2];\ncx q[6], q[4];\nrz(-0.4483) q[4];\ncx q[6], q[4];\ncx q[4], q[5];\nrz(-0.4483) q[5];\ncx q[4], q[5];\ncx q[2], q[7];\nrz(-0.4483) q[7];\ncx q[2], q[7];\nrz(-0.1121) q[8];\nrz(-0.1121) q[0];\nrz(-0.1121) q[3];\nrz(-0.1121) q[6];\nrz(0) q[1];\nrz(0) q[2];\nrz(0) q[4];\nrz(0) q[5];\nrz(0) q[7];\nh q[0];\nrz(0.8236) q[0];\nh q[0];\nh q[1];\nrz(0.8236) q[1];\nh q[1];\nh q[2];\nrz(0.8236) q[2];\nh q[2];\nh q[3];\nrz(0.8236) q[3];\nh q[3];\nh q[4];\nrz(0.8236) q[4];\nh q[4];\nh q[5];\nrz(0.8236) q[5];\nh q[5];\nh q[6];\nrz(0.8236) q[6];\nh q[6];\nh q[7];\nrz(0.8236) q[7];\nh q[7];\nh q[8];\nrz(0.8236) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[8], q[0];\nrz(x0) q[0];\ncx q[8], q[0];\ncx q[8], q[3];\nrz(x0) q[3];\ncx q[8], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[8], q[6];\nrz(x0) q[6];\ncx q[8], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[8], q[1];\nrz(x1) q[1];\ncx q[8], q[1];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\nrz(x2) q[8];\nrz(x2) q[0];\nrz(x2) q[3];\nrz(x2) q[6];\nrz(x3) q[1];\nrz(x3) q[2];\nrz(x3) q[4];\nrz(x3) q[5];\nrz(x3) q[7];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nh q[8];\nrz(x4) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["24ec85ceb3f94374e977a871ddcf35bc","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [50, 60], \"expectation_value\": -3.1321770286570354, \"params\": null, \"bitstrings\": [\"1001101\", \"1000011\"], \"total_optimization_steps\": 36, \"probabilities\": [0.06225990274216573, 0.8457025003025933], \"optimization_time\": 47.3663010597229}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -0.625 * Z(0) + 0.125 * Z(1) + -0.125 * Z(2) + -0.125 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + -0.5 * Z(6)",1,7,4,"{\"smallest_eigenvalues\": [-3.375], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.375, \"smallest_bitstrings\": [\"1000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5158) q[0];\nry(-1.4449) q[6];\nry(1.4415) q[2];\ncry(-1.3016) q[3], q[5];\nry(1.2939) q[1];\nry(0.7826) q[3];\nry(-0.6334) q[5];\ncry(1.32) q[3], q[4];\ncry(0.4658) q[2], q[3];\ncry(-0.1259) q[2], q[6];\ncry(-0.137) q[4], q[5];\ncry(0.254) q[2], q[1];\nry(0.2174) q[4];\ncry(-0.055) q[1], q[0];\ncry(0.1174) q[1], q[2];\ncry(-0.2753) q[5], q[4];\ncry(0.1044) q[4], q[3];\ncry(0.0164) q[1], q[5];\ncry(-0.0766) q[5], q[3];\ncry(0.0199) q[2], q[5];\ncry(0.0208) q[3], q[1];\ncry(-0.0005) q[1], q[6];\ncry(-0.006) q[1], q[4];\ncry(-0.0053) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":23241,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nry(-0.6334) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nry(-0.6334) q[5];\\ncry(1.32) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nry(-0.6334) q[5];\\ncry(1.32) q[3], q[4];\\ncry(0.4658) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5158) q[0];\\nry(-1.4449) q[6];\\nry(1.4415) q[2];\\ncry(-1.3016) q[3], q[5];\\nry(1.2939) q[1];\\nry(0.7826) q[3];\\nry(-0.6334) q[5];\\ncry(1.32) q[3], q[4];\\ncry(0.4658) q[2], q[3];\\ncry(-0.1259) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q"}}]
["0ae9b6f2b61290137ab22e2dafb0c164","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}]}","{\"states\": [0, 20], \"expectation_value\": -2.9998646495793175, \"params\": null, \"bitstrings\": [\"11111\", \"01011\"], \"total_optimization_steps\": 16, \"probabilities\": [1.9002204009620417e-05, 0.9999182900344906], \"optimization_time\": 9.069374561309814}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2)",1,5,2,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"11100\", \"01011\", \"10101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nry(-1.4449) q[4];\nry(-1.4449) q[3];\nry(1.4384) q[2];\nry(1.4384) q[0];\ncry(-0.1259) q[2], q[3];\ncry(-0.1259) q[2], q[4];\ncry(0.1248) q[2], q[0];\ncry(0.1242) q[0], q[2];\ncry(-0.0027) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1248) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1248) q[2], q[0];\\ncry(0.1242) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1248) q[2], q[0];\\ncry(0.1242) q[0], q[2];\\ncry(-0.0027) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1248) q[2], q[0];\\ncry(0.1242) q[0], q[2];\\ncry(-0.0027) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1248) q[2], q[0];\\ncry(0.1242) q[0], q[2];\\ncry(-0.0027) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1248) q[2], q[0];\\ncry(0.1242) q[0], q[2];\\ncry(-0.0027) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1248) q[2], q[0];\\ncry(0.1242) q[0], q[2];\\ncry(-0.0027) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1248) q[2], q[0];\\ncry(0.1242) q[0], q[2];\\ncry(-0.0027) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[2];\\nry(1.4384) q[0];\\ncry(-0.1259) q[2], q[3];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1248) q[2], q[0];\\ncry(0.1242) q[0], q[2];\\ncry(-0.0027) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.0062, 0.5033, 0.502, 0.4921, 0.4918, 0.19, 0.19, 0.0652, 0.0651, 0.0071, 0.0045, 0.0045, 0.0045, 0.003, 0.003, 0.003]}"]
["825abbfffae19b61aa653f6ccd815682","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 8}, {\"source\": 1, \"target\": 3}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [371, 115], \"expectation_value\": -3.335374470290589, \"params\": [[[0.4685, 0.1019], [0.0053, -0.4058], [0.5938, 0.0115], [0.7005, 0.0013000000000000002], [0.6474000000000001, -0.0021000000000000003], [0.059000000000000004, 0.3259], [0.4091, -0.15030000000000002], [0.6984, -0.0024000000000000002], [0.7009000000000001, 0.0039000000000000003]], [[0.47400000000000003, 0.1019], [-0.0005, -0.403], [0.5902000000000001, 0.0115], [0.7042, 0.0013000000000000002], [0.6545000000000001, -0.0021000000000000003], [0.064, 0.3259], [0.406, -0.15030000000000002], [0.6989000000000001, -0.0024000000000000002], [0.6997, 0.0039000000000000003]], [[0.47340000000000004, 0.0026000000000000003], [0.0049, 0.0028], [0.5920000000000001, 0.0081], [0.7077, 0.0089], [0.6569, 0.0074], [0.0613, 0.008], [0.4067, 0.0039000000000000003], [0.7074, 0.0099], [0.7088, 0.0037]]], \"bitstrings\": [\"010001100\", \"110001100\"], \"total_optimization_steps\": 70, \"probabilities\": [0.050497262387735775, 0.06976449443906857], \"optimization_time\": 22.914013385772705}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(6) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(7)",1,9,3,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"110001100\", \"011011000\", \"011001100\", \"110011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.4685) q[0];\nrz(0.1019) q[0];\nrx(0.0053) q[1];\nrz(-0.4058) q[1];\nrx(0.5938) q[2];\nrz(0.0115) q[2];\nrx(0.7005) q[3];\nrz(0.0013) q[3];\nrx(0.6474) q[4];\nrz(-0.0021) q[4];\nrx(0.059) q[5];\nrz(0.3259) q[5];\nrx(0.4091) q[6];\nrz(-0.1503) q[6];\nrx(0.6984) q[7];\nrz(-0.0024) q[7];\nrx(0.7009) q[8];\nrz(0.0039) q[8];\nrx(0.474) q[0];\nrz(0.1019) q[0];\nrx(-0.0005) q[1];\nrz(-0.403) q[1];\nrx(0.5902) q[2];\nrz(0.0115) q[2];\nrx(0.7042) q[3];\nrz(0.0013) q[3];\nrx(0.6545) q[4];\nrz(-0.0021) q[4];\nrx(0.064) q[5];\nrz(0.3259) q[5];\nrx(0.406) q[6];\nrz(-0.1503) q[6];\nrx(0.6989) q[7];\nrz(-0.0024) q[7];\nrx(0.6997) q[8];\nrz(0.0039) q[8];\nrx(0.4734) q[0];\nrz(0.0026) q[0];\nrx(0.0049) q[1];\nrz(0.0028) q[1];\nrx(0.592) q[2];\nrz(0.0081) q[2];\nrx(0.7077) q[3];\nrz(0.0089) q[3];\nrx(0.6569) q[4];\nrz(0.0074) q[4];\nrx(0.0613) q[5];\nrz(0.008) q[5];\nrx(0.4067) q[6];\nrz(0.0039) q[6];\nrx(0.7074) q[7];\nrz(0.0099) q[7];\nrx(0.7088) q[8];\nrz(0.0037) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[0];\nrz(x1) q[0];\nrx(x19) q[1];\nrz(x20) q[1];\nrx(x21) q[2];\nrz(x5) q[2];\nrx(x22) q[3];\nrz(x7) q[3];\nrx(x23) q[4];\nrz(x9) q[4];\nrx(x24) q[5];\nrz(x11) q[5];\nrx(x25) q[6];\nrz(x13) q[6];\nrx(x26) q[7];\nrz(x15) q[7];\nrx(x27) q[8];\nrz(x17) q[8];\nrx(x28) q[0];\nrz(x29) q[0];\nrx(x30) q[1];\nrz(x31) q[1];\nrx(x32) q[2];\nrz(x33) q[2];\nrx(x34) q[3];\nrz(x35) q[3];\nrx(x36) q[4];\nrz(x37) q[4];\nrx(x38) q[5];\nrz(x39) q[5];\nrx(x40) q[6];\nrz(x17) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["f736cdcdd3e9fab7057c0068d5117a32","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 14, \"source\": 0, \"target\": 3}, {\"weight\": 17, \"source\": 0, \"target\": 6}, {\"weight\": 20, \"source\": 1, \"target\": 2}, {\"weight\": 16, \"source\": 1, \"target\": 3}, {\"weight\": 5, \"source\": 2, \"target\": 3}, {\"weight\": 15, \"source\": 2, \"target\": 4}, {\"weight\": 3, \"source\": 4, \"target\": 5}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [461, 244], \"expectation_value\": -31.943007162855732, \"params\": null, \"bitstrings\": [\"000110010\", \"100001011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.04759182583258912, 0.11524234187856296], \"optimization_time\": 176.56593322753906}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) + 13.5 * Z(0) + 13.0 * Z(2) + 19.0 * Z(3) + 17.0 * Z(4) + 11.5 * Z(5) + 12.0 * Z(6) + -3.0 * Z(7) + -1.0 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-83.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -74.0, \"smallest_bitstrings\": [\"100001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1246) q[3];\nry(23.2852) q[4];\nry(-25.9147) q[1];\nry(6.6126) q[0];\nry(0.1645) q[5];\nry(3.6791) q[2];\ncry(62.8422) q[5], q[0];\ncry(5.894) q[0], q[5];\ncry(62.9658) q[0], q[3];\nry(22.4691) q[6];\ncry(9.3969) q[8], q[3];\ncry(-21.7003) q[8], q[0];\ncry(8.1438) q[8], q[5];\ncry(-14.1158) q[5], q[1];\ncry(-18.667) q[5], q[2];\ncry(-2.4234) q[3], q[2];\ncry(-0.6999) q[8], q[1];\ncry(-0.58) q[0], q[6];\ncry(-0.487) q[5], q[6];\ncry(-0.7663) q[6], q[7];\ncry(-0.1352) q[2], q[6];\ncry(-0.0416) q[8], q[6];\ncry(-3.7924) q[6], q[1];\ncry(0.2704) q[6], q[0];\ncry(1.7502) q[0], q[1];\nry(0.0173) q[7];\ncry(-0.7582) q[5], q[7];\ncry(-0.6801) q[5], q[4];\ncry(-0.7426) q[8], q[4];\ncry(-0.7021) q[6], q[4];\ncry(-0.9045) q[2], q[4];\ncry(-1.348) q[0], q[4];\ncry(-0.5407) q[4], q[6];\ncry(0.4273) q[1], q[6];\ncry(-0.7547) q[1], q[4];\ncry(-0.5849) q[4], q[2];\ncry(1.4116) q[4], q[0];\ncry(-0.5335) q[2], q[3];\ncry(1.6935) q[4], q[3];\ncry(-0.6814) q[4], q[1];\ncry(0.6577) q[3], q[6];\ncry(0.4772) q[3], q[4];\ncry(-1.2097) q[7], q[4];\ncry(0.7392) q[2], q[0];\ncry(-0.2864) q[1], q[7];\ncry(-0.2822) q[6], q[2];\ncry(-0.3544) q[1], q[0];\ncry(0.4728) q[3], q[0];\ncry(-1.7529) q[7], q[5];\ncry(-0.2411) q[4], q[7];\ncry(0.3434) q[1], q[5];\ncry(-0.3099) q[2], q[1];\ncry(0.2929) q[8], q[7];\ncry(-0.15) q[3], q[7];\ncry(-0.0929) q[2], q[5];\ncry(0.1434) q[6], q[5];\ncry(0.5356) q[6], q[8];\ncry(-0.7202) q[4], q[8];\ncry(0.5211) q[3], q[8];\nry(-0.672) q[8];\ncry(0.1617) q[6], q[3];\ncry(0.3778) q[1], q[8];\ncry(-1.9195) q[8], q[2];\ncry(0.3613) q[0], q[2];\ncry(-1.8418) q[7], q[0];\ncry(-0.0959) q[2], q[7];\ncry(-0.0633) q[1], q[2];\ncry(-0.0572) q[1], q[3];\ncry(0.0534) q[0], q[7];\ncry(-0.6636) q[7], q[1];\ncry(-0.0741) q[3], q[5];\ncry(0.3425) q[5], q[3];\ncry(-0.0512) q[3], q[1];\ncry(0.0964) q[2], q[8];\ncry(-0.1426) q[7], q[2];\ncry(0.6909) q[7], q[6];\ncry(0.0188) q[4], q[5];\ncry(0.1875) q[0], q[8];\ncry(-0.1287) q[5], q[8];\ncry(0.1772) q[7], q[8];\ncry(-0.087) q[7], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}",{"$cut":{"chars":154093,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1246) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1246) q[3];\\nry(23.2852) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1246) q[3];\\nry(23.2852) q[4];\\nry(-25.9147) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1246) q[3];\\nry(23.2852) q[4];\\nry(-25.9147) q[1];\\nry(6.6126) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1246) q[3];\\nry(23.2852) q[4];\\nry(-25.9147) q[1];\\nry(6.6126) q[0];\\nry(0.1645) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1246) q[3];\\nry(23.2852) q[4];\\nry(-25.9147) q[1];\\nry(6.6126) q[0];\\nry(0.1645) q[5];\\nry(3.6791) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1246) q[3];\\nry(23.2852) q[4];\\nry(-25.9147) q[1];\\nry(6.6126) q[0];\\nry(0.1645) q[5];\\nry(3.6791) q[2];\\ncry(62.8422) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1246) q[3];\\nry(23.2852) q[4];\\nry(-25.9147) q[1];\\nry(6.6126) q[0];\\nry(0.1645) q[5];\\nry(3.6791) q[2];\\ncry(62.8422) q[5], q[0];\\ncry(5.894) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1246) q[3];\\nry(23.2852) q[4];\\nry(-25.9147) q[1];\\nry(6.6126) q[0];\\nry(0.1645) q[5];\\nry(3.6791) q[2];\\ncry(62.8422) q[5], q[0];\\ncry(5.894) q[0], q[5];\\ncry(62.9658) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;"}}]
["48bc2fe3cb79b98fee18d505d1ebe59b","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [32, 48], \"expectation_value\": -4.010976297017779, \"params\": [[[1.1953, 0.0023], [1.6999000000000002, 0.009000000000000001], [1.6178000000000001, 0.0032], [0.271, 0.0], [-0.0028, 0.0043], [-0.0035, 0.0068000000000000005], [1.5161, 0.0048000000000000004]]], \"bitstrings\": [\"1011111\", \"1001111\"], \"total_optimization_steps\": 170, \"probabilities\": [0.09514722816289936, 0.10452439065986124], \"optimization_time\": 2.733574867248535}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) + -1.0 * Z(2) + -1.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1110110\", \"1011011\", \"0101111\", \"1100111\", \"1011110\", \"0111110\", \"1001111\", \"0111101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(1.1953) q[0];\nrz(0.0023) q[0];\nrx(1.6999) q[1];\nrz(0.009) q[1];\nrx(1.6178) q[2];\nrz(0.0032) q[2];\nrx(0.271) q[3];\nrz(0) q[3];\nrx(-0.0028) q[4];\nrz(0.0043) q[4];\nrx(-0.0035) q[5];\nrz(0.0068) q[5];\nrx(1.5161) q[6];\nrz(0.0048) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["e5ad9c08c01c1ebe8aa9222d011acce6","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 0, \"target\": 5}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 5, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 5, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [17, 31], \"expectation_value\": -4.335116996798767, \"params\": null, \"bitstrings\": [\"101110\", \"100000\"], \"total_optimization_steps\": 51, \"probabilities\": [0.12902492310277472, 0.45615066958250355], \"optimization_time\": 42.39816880226135}","-0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3)",1,6,2,"{\"smallest_eigenvalues\": [-5.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.25, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5706) q[4], q[2];\ncry(1.2837) q[3], q[4];\ncry(1.5548) q[5], q[1];\ncry(0.6654) q[3], q[2];\ncry(1.2853) q[4], q[3];\nry(-0.5014) q[3];\ncry(0.3807) q[2], q[3];\ncry(-0.268) q[1], q[3];\ncry(-1.0343) q[5], q[0];\ncry(0.8424) q[1], q[5];\ncry(-0.5987) q[1], q[0];\nry(0.147) q[5];\ncry(0.0351) q[2], q[4];\nry(-0.1568) q[0];\ncry(0.0566) q[4], q[5];\ncry(0.0855) q[4], q[1];\ncry(-0.1318) q[0], q[5];\ncry(0.071) q[2], q[5];\ncry(-0.015) q[1], q[4];\ncry(-0.1087) q[0], q[3];\ncry(0.0391) q[3], q[1];\ncry(0.0317) q[3], q[5];\ncry(-0.0982) q[0], q[1];\ncry(0.0159) q[5], q[3];\nry(0.0093) q[4];\ncry(-0.038) q[2], q[0];\ncry(-0.0253) q[0], q[4];\ncry(0.012) q[2], q[1];\nry(-0.012) q[1];\nry(-0.0011) q[2];\ncry(-0.002) q[5], q[4];\ncry(-0.01) q[4], q[0];\ncry(-0.0008) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":39812,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\ncry(1.5548) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\ncry(1.5548) q[5], q[1];\\ncry(0.6654) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\ncry(1.5548) q[5], q[1];\\ncry(0.6654) q[3], q[2];\\ncry(1.2853) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\ncry(1.5548) q[5], q[1];\\ncry(0.6654) q[3], q[2];\\ncry(1.2853) q[4], q[3];\\nry(-0.5014) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\ncry(1.5548) q[5], q[1];\\ncry(0.6654) q[3], q[2];\\ncry(1.2853) q[4], q[3];\\nry(-0.5014) q[3];\\ncry(0.3807) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\ncry(1.5548) q[5], q[1];\\ncry(0.6654) q[3], q[2];\\ncry(1.2853) q[4], q[3];\\nry(-0.5014) q[3];\\ncry(0.3807) q[2], q[3];\\ncry(-0.268) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\ncry(1.5548) q[5], q[1];\\ncry(0.6654) q[3], q[2];\\ncry(1.2853) q[4], q[3];\\nry(-0.5014) q[3];\\ncry(0.3807) q[2], q[3];\\ncry(-0.268) q[1], q[3];\\ncry(-1.0343) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\ncry(1.5548) q[5], q[1];\\ncry(0.6654) q[3], q[2];\\ncry(1.2853) q[4], q[3];\\nry(-0.5014) q[3];\\ncry(0.3807) q[2], q[3];\\ncry(-0.268) q[1], q[3];\\ncry(-1.0343) q[5], q[0];\\ncry(0.8424) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5706) q[4], q[2];\\ncry(1.2837) q[3], q[4];\\ncry("}}]
["61e72a7f3bba48b5d0ac6a3978f4cc8b","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 17, \"source\": 0, \"target\": 5}, {\"weight\": 12, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 17, \"source\": 2, \"target\": 7}, {\"weight\": 12, \"source\": 3, \"target\": 7}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 16, \"source\": 4, \"target\": 7}, {\"weight\": 3, \"source\": 6, \"target\": 7}]}","{\"states\": [474, 218], \"expectation_value\": -11.553801077384854, \"params\": [[-0.0352], [0.0782]], \"bitstrings\": [\"000100101\", \"100100101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.003951541438388053, 0.004717153120266627], \"optimization_time\": 2.0080559253692627}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) + 5.0 * Z(0) + 10.5 * Z(2) + 5.0 * Z(3) + 22.0 * Z(4) + 15.0 * Z(5) + 2.0 * Z(6) + 17.0 * Z(7) + 6.0 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-82.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -74.0, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.3168) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.3168) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(-0.3168) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.3168) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.3168) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.3168) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.3168) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.3168) q[6];\ncx q[1], q[6];\ncx q[4], q[7];\nrz(-0.3168) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.3168) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.3168) q[7];\ncx q[6], q[7];\ncx q[4], q[8];\nrz(-0.3168) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(-0.3168) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(-0.3168) q[8];\ncx q[7], q[8];\nrz(-0.5984) q[1];\nrz(-0.352) q[0];\nrz(-0.7392) q[2];\nrz(-0.352) q[3];\nrz(-1.5488) q[4];\nrz(-1.056) q[5];\nrz(-0.1408) q[6];\nrz(-1.1968) q[7];\nrz(-0.4224) q[8];\nh q[0];\nrz(0.1564) q[0];\nh q[0];\nh q[1];\nrz(0.1564) q[1];\nh q[1];\nh q[2];\nrz(0.1564) q[2];\nh q[2];\nh q[3];\nrz(0.1564) q[3];\nh q[3];\nh q[4];\nrz(0.1564) q[4];\nh q[4];\nh q[5];\nrz(0.1564) q[5];\nh q[5];\nh q[6];\nrz(0.1564) q[6];\nh q[6];\nh q[7];\nrz(0.1564) q[7];\nh q[7];\nh q[8];\nrz(0.1564) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x2) q[3];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x7) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["ad0fe7481f54a4d50469fdf40e39612a","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 6, \"source\": 0, \"target\": 5}, {\"capacity\": 5, \"source\": 0, \"target\": 9}, {\"capacity\": 5, \"source\": 1, \"target\": 9}, {\"capacity\": 5, \"source\": 2, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 6}, {\"capacity\": 6, \"source\": 2, \"target\": 11}, {\"capacity\": 5, \"source\": 3, \"target\": 2}, {\"capacity\": 5, \"source\": 3, \"target\": 8}, {\"capacity\": 3, \"source\": 3, \"target\": 9}, {\"capacity\": 5, \"source\": 3, \"target\": 10}, {\"capacity\": 2, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 8}, {\"capacity\": 6, \"source\": 4, \"target\": 9}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 4, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 8}, {\"capacity\": 2, \"source\": 5, \"target\": 10}, {\"capacity\": 3, \"source\": 6, \"target\": 3}, {\"capacity\": 5, \"source\": 6, \"target\": 5}, {\"capacity\": 1, \"source\": 6, \"target\": 7}, {\"capacity\": 2, \"source\": 6, \"target\": 10}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 4, \"source\": 7, \"target\": 5}, {\"capacity\": 5, \"source\": 7, \"target\": 10}, {\"capacity\": 4, \"source\": 7, \"target\": 11}, {\"capacity\": 5, \"source\": 8, \"target\": 1}, {\"capacity\": 2, \"source\": 8, \"target\": 2}, {\"capacity\": 1, \"source\": 8, \"target\": 5}, {\"capacity\": 1, \"source\": 9, \"target\": 1}, {\"capacity\": 2, \"source\": 9, \"target\": 3}, {\"capacity\": 5, \"source\": 9, \"target\": 4}, {\"capacity\": 1, \"source\": 9, \"target\": 5}, {\"capacity\": 4, \"source\": 9, \"target\": 8}, {\"capacity\": 5, \"source\": 10, \"target\": 6}, {\"capacity\": 3, \"source\": 10, \"target\": 7}, {\"capacity\": 1, \"source\": 10, \"target\": 9}]}","{\"states\": [0, 256], \"expectation_value\": -33.50307645052739, \"params\": [-0.1729, 0.0114, -0.0473, -0.0012000000000000001, 0.0007, 0.29810000000000003, 0.0049, 0.3183, 0.0006000000000000001, 0.3009, 0.0086, 0.1912, 0.39930000000000004, 0.0033, 0.4081, -0.0032, 0.006, 0.27290000000000003, 0.0056, 0.2679, 0.0049, 0.24130000000000001, 0.0011, 0.3024, 0.0018000000000000002, 0.308, 0.0023, 0.3037, -0.0017000000000000001, 0.3113, 0.0055000000000000005, 0.31720000000000004, -0.0053, 0.2811, 0.009300000000000001, 0.3075, 0.0118, 0.30260000000000004, 0.0002, 0.3133, 0.0034000000000000002, 0.3005, 0.0013000000000000002, 0.3131, -0.0, 0.31980000000000003, 0.0057, 0.32080000000000003, -0.0405, -0.001, 0.2146, 0.0055000000000000005, -0.0018000000000000002, 0.2857, 0.0043, 0.0073, 0.0015, 0.2069, -0.0005, 0.0006000000000000001, 0.4068, 0.0032, 0.40090000000000003, 0.0002, 0.008400000000000001, 0.2539, -0.0031000000000000003, 0.0014, 0.0008, 0.30720000000000003, 0.0043, 0.0053, 0.00030000000000000003, 0.2901, 0.0053, 0.0094, 0.0056, 0.273, -0.0011, 0.007, 0.0126, 0.2311, -0.0071, 0.0071, 0.0029000000000000002, 0.3126, 0.0023, 0.0017000000000000001, 0.0055000000000000005, 0.3009, 0.0015, 0.0058000000000000005, -0.0017000000000000001, 0.3189, 0.0033, 0.0013000000000000002, 0.0183, 0.002, 0.001, 0.3255, -0.0064, -0.0007, 0.0016, 0.0036000000000000003, 0.007200000000000001, -0.008700000000000001, 0.0008, 0.0018000000000000002, 0.0959, 0.001, 0.0028, 0.38230000000000003, -0.00030000000000000003, 0.0041, 0.0043, 0.0005, -0.0027, 0.0036000000000000003, 0.0027, 0.0025], \"bitstrings\": [\"111111111111\", \"111011111111\"], \"total_optimization_steps\": 40, \"probabilities\": [0.473976714751942, 0.5255157836885863], \"optimization_time\": 55.5223069190979}","-1.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(0)) + -1.5 * (Z(11) @ Z(1)) + -1.25 * (Z(11) @ Z(0)) + -2.75 * (Z(11) @ Z(6)) + -0.25 * (Z(11) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(11)) + -2.5 * (Z(5) @ Z(4)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(5)) + 5.0 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.25 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(6)) + -0.75 * (Z(10) @ Z(7)) + -1.0 * (Z(10) @ Z(11)) + -0.5 * (Z(10) @ Z(4)) + -1.25 * (Z(10) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(11)) + -1.25 * (Z(2) @ Z(5)) + -1.75 * (Z(2) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(8)) + -1.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(2)) + -1.75 * Z(1) + -0.25 * Z(0) + 0.5 * Z(6) + -1.25 * Z(7) + -1.75 * Z(11) + 1.5 * Z(4) + 0.25 * Z(5) + 0.5 * Z(8) + 2.5 * Z(3) + -1.0 * Z(10) + -1.25 * Z(2) + 2.0 * Z(9)",6,12,2,"{\"smallest_eigenvalues\": [-38.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -36.25, \"smallest_bitstrings\": [\"111011111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(-0.1729) q[0];\nrz(0.0114) q[0];\nrx(0.0007) q[1];\nrz(0.2981) q[1];\nrx(0.0006) q[2];\nrz(0.3009) q[2];\nrx(0.3993) q[3];\nrz(0.0033) q[3];\nrx(0.006) q[4];\nrz(0.2729) q[4];\nrx(0.0049) q[5];\nrz(0.2413) q[5];\nrx(0.0018) q[6];\nrz(0.308) q[6];\nrx(-0.0017) q[7];\nrz(0.3113) q[7];\nrx(-0.0053) q[8];\nrz(0.2811) q[8];\nrx(0.0118) q[9];\nrz(0.3026) q[9];\nrx(0.0034) q[10];\nrz(0.3005) q[10];\nrx(0) q[11];\nrz(0.3198) q[11];\ncrx(0.0008) q[11], q[10];\ncrx(-0.0087) q[11], q[9];\ncrx(0.0072) q[11], q[8];\ncrx(0.0036) q[11], q[7];\ncrx(0.0016) q[11], q[6];\ncrx(-0.0007) q[11], q[5];\ncrx(-0.0064) q[11], q[4];\ncrx(0.3255) q[11], q[3];\ncrx(0.001) q[11], q[2];\ncrx(0.002) q[11], q[1];\ncrx(0.0183) q[11], q[0];\ncrx(0.0018) q[10], q[11];\ncrx(-0.0087) q[10], q[9];\ncrx(0.0072) q[10], q[8];\ncrx(0.0036) q[10], q[7];\ncrx(0.0016) q[10], q[6];\ncrx(-0.0007) q[10], q[5];\ncrx(-0.0064) q[10], q[4];\ncrx(0.3255) q[10], q[3];\ncrx(0.001) q[10], q[2];\ncrx(0.002) q[10], q[1];\ncrx(0.0183) q[10], q[0];\ncrx(0.0018) q[9], q[11];\ncrx(0.0008) q[9], q[10];\ncrx(0.0072) q[9], q[8];\ncrx(0.0036) q[9], q[7];\ncrx(0.0016) q[9], q[6];\ncrx(-0.0007) q[9], q[5];\ncrx(-0.0064) q[9], q[4];\ncrx(0.3255) q[9], q[3];\ncrx(0.001) q[9], q[2];\ncrx(0.002) q[9], q[1];\ncrx(0.0183) q[9], q[0];\ncrx(0.0018) q[8], q[11];\ncrx(0.0008) q[8], q[10];\ncrx(-0.0087) q[8], q[9];\ncrx(0.0036) q[8], q[7];\ncrx(0.0016) q[8], q[6];\ncrx(-0.0007) q[8], q[5];\ncrx(-0.0064) q[8], q[4];\ncrx(0.3255) q[8], q[3];\ncrx(0.001) q[8], q[2];\ncrx(0.002) q[8], q[1];\ncrx(0.0183) q[8], q[0];\ncrx(0.0018) q[7], q[11];\ncrx(0.0008) q[7], q[10];\ncrx(-0.0087) q[7], q[9];\ncrx(0.0072) q[7], q[8];\ncrx(0.0016) q[7], q[6];\ncrx(-0.0007) q[7], q[5];\ncrx(-0.0064) q[7], q[4];\ncrx(0.3255) q[7], q[3];\ncrx(0.001) q[7], q[2];\ncrx(0.002) q[7], q[1];\ncrx(0.0183) q[7], q[0];\ncrx(0.0018) q[6], q[11];\ncrx(0.0008) q[6], q[10];\ncrx(-0.0087) q[6], q[9];\ncrx(0.0072) q[6], q[8];\ncrx(0.0036) q[6], q[7];\ncrx(-0.0007) q[6], q[5];\ncrx(-0.0064) q[6], q[4];\ncrx(0.3255) q[6], q[3];\ncrx(0.001) q[6], q[2];\ncrx(0.002) q[6], q[1];\ncrx(0.0183) q[6], q[0];\ncrx(0.0018) q[5], q[11];\ncrx(0.0008) q[5], q[10];\ncrx(-0.0087) q[5], q[9];\ncrx(0.0072) q[5], q[8];\ncrx(0.0036) q[5], q[7];\ncrx(0.0016) q[5], q[6];\ncrx(-0.0064) q[5], q[4];\ncrx(0.3255) q[5], q[3];\ncrx(0.001) q[5], q[2];\ncrx(0.002) q[5], q[1];\ncrx(0.0183) q[5], q[0];\ncrx(0.0018) q[4], q[11];\ncrx(0.0008) q[4], q[10];\ncrx(-0.0087) q[4], q[9];\ncrx(0.0072) q[4], q[8];\ncrx(0.0036) q[4], q[7];\ncrx(0.0016) q[4], q[6];\ncrx(-0.0007) q[4], q[5];\ncrx(0.3255) q[4], q[3];\ncrx(0.001) q[4], q[2];\ncrx(0.002) q[4], q[1];\ncrx(0.0183) q[4], q[0];\ncrx(0.0018) q[3], q[11];\ncrx(0.0008) q[3], q[10];\ncrx(-0.0087) q[3], q[9];\ncrx(0.0072) q[3], q[8];\ncrx(0.0036) q[3], q[7];\ncrx(0.0016) q[3], q[6];\ncrx(-0.0007) q[3], q[5];\ncrx(-0.0064) q[3], q[4];\ncrx(0.001) q[3], q[2];\ncrx(0.002) q[3], q[1];\ncrx(0.0183) q[3], q[0];\ncrx(0.0018) q[2], q[11];\ncrx(0.0008) q[2], q[10];\ncrx(-0.0087) q[2], q[9];\ncrx(0.0072) q[2], q[8];\ncrx(0.0036) q[2], q[7];\ncrx(0.0016) q[2], q[6];\ncrx(-0.0007) q[2], q[5];\ncrx(-0.0064) q[2], q[4];\ncrx(0.3255) q[2], q[3];\ncrx(0.002) q[2], q[1];\ncrx(0.0183) q[2], q[0];\ncrx(0.0018) q[1], q[11];\ncrx(0.0008) q[1], q[10];\ncrx(-0.0087) q[1], q[9];\ncrx(0.0072) q[1], q[8];\ncrx(0.0036) q[1], q[7];\ncrx(0.0016) q[1], q[6];\ncrx(-0.0007) q[1], q[5];\ncrx(-0.0064) q[1], q[4];\ncrx(0.3255) q[1], q[3];\ncrx(0.001) q[1], q[2];\ncrx(0.0183) q[1], q[0];\ncrx(0.0018) q[0], q[11];\ncrx(0.0008) q[0], q[10];\ncrx(-0.0087) q[0], q[9];\ncrx(0.0072) q[0], q[8];\ncrx(0.0036) q[0], q[7];\ncrx(0.0016) q[0], q[6];\ncrx(-0.0007) q[0], q[5];\ncrx(-0.0064) q[0], q[4];\ncrx(0.3255) q[0], q[3];\ncrx(0.001) q[0], q[2];\ncrx(0.002) q[0], q[1];\nrx(-0.0473) q[0];\nrz(-0.0012) q[0];\nrx(0.0049) q[1];\nrz(0.3183) q[1];\nrx(0.0086) q[2];\nrz(0.1912) q[2];\nrx(0.4081) q[3];\nrz(-0.0032) q[3];\nrx(0.0056) q[4];\nrz(0.2679) q[4];\nrx(0.0011) q[5];\nrz(0.3024) q[5];\nrx(0.0023) q[6];\nrz(0.3037) q[6];\nrx(0.0055) q[7];\nrz(0.3172) q[7];\nrx(0.0093) q[8];\nrz(0.3075) q[8];\nrx(0.0002) q[9];\nrz(0.3133) q[9];\nrx(0.0013) q[10];\nrz(0.3131) q[10];\nrx(0.0057) q[11];\nrz(0.3208) q[11];\nrx(-0.0405) q[0];\nrz(-0.001) q[0];\nrx(-0.0018) q[1];\nrz(0.2857) q[1];\nrx(0.0015) q[2];\nrz(0.2069) q[2];\nrx(0.4068) q[3];\nrz(0.0032) q[3];\nrx(0.0084) q[4];\nrz(0.2539) q[4];\nrx(0.0008) q[5];\nrz(0.3072) q[5];\nrx(0.0003) q[6];\nrz(0.2901) q[6];\nrx(0.0056) q[7];\nrz(0.273) q[7];\nrx(0.0126) q[8];\nrz(0.2311) q[8];\nrx(0.0029) q[9];\nrz(0.3126) q[9];\nrx(0.0055) q[10];\nrz(0.3009) q[10];\nrx(-0.0017) q[11];\nrz(0.3189) q[11];\ncrx(0.0027) q[11], q[10];\ncrx(0.0036) q[11], q[9];\ncrx(-0.0027) q[11], q[8];\ncrx(0.0005) q[11], q[7];\ncrx(0.0043) q[11], q[6];\ncrx(0.0041) q[11], q[5];\ncrx(-0.0003) q[11], q[4];\ncrx(0.3823) q[11], q[3];\ncrx(0.0028) q[11], q[2];\ncrx(0.001) q[11], q[1];\ncrx(0.0959) q[11], q[0];\ncrx(0.0025) q[10], q[11];\ncrx(0.0036) q[10], q[9];\ncrx(-0.0027) q[10], q[8];\ncrx(0.0005) q[10], q[7];\ncrx(0.0043) q[10], q[6];\ncrx(0.0041) q[10], q[5];\ncrx(-0.0003) q[10], q[4];\ncrx(0.3823) q[10], q[3];\ncrx(0.0028) q[10], q[2];\ncrx(0.001) q[10], q[1];\ncrx(0.0959) q[10], q[0];\ncrx(0.0025) q[9], q[11];\ncrx(0.0027) q[9], q[10];\ncrx(-0.0027) q[9], q[8];\ncrx(0.0005) q[9], q[7];\ncrx(0.0043) q[9], q[6];\ncrx(0.0041) q[9], q[5];\ncrx(-0.0003) q[9], q[4];\ncrx(0.3823) q[9], q[3];\ncrx(0.0028) q[9], q[2];\ncrx(0.001) q[9], q[1];\ncrx(0.0959) q[9], q[0];\ncrx(0.0025) q[8], q[11];\ncrx(0.0027) q[8], q[10];\ncrx(0.0036) q[8], q[9];\ncrx(0.0005) q[8], q[7];\ncrx(0.0043) q[8], q[6];\ncrx(0.0041) q[8], q[5];\ncrx(-0.0003) q[8], q[4];\ncrx(0.3823) q[8], q[3];\ncrx(0.0028) q[8], q[2];\ncrx(0.001) q[8], q[1];\ncrx(0.0959) q[8], q[0];\ncrx(0.0025) q[7], q[11];\ncrx(0.0027) q[7], q[10];\ncrx(0.0036) q[7], q[9];\ncrx(-0.0027) q[7], q[8];\ncrx(0.0043) q[7], q[6];\ncrx(0.0041) q[7], q[5];\ncrx(-0.0003) q[7], q[4];\ncrx(0.3823) q[7], q[3];\ncrx(0.0028) q[7], q[2];\ncrx(0.001) q[7], q[1];\ncrx(0.0959) q[7], q[0];\ncrx(0.0025) q[6], q[11];\ncrx(0.0027) q[6], q[10];\ncrx(0.0036) q[6], q[9];\ncrx(-0.0027) q[6], q[8];\ncrx(0.0005) q[6], q[7];\ncrx(0.0041) q[6], q[5];\ncrx(-0.0003) q[6], q[4];\ncrx(0.3823) q[6], q[3];\ncrx(0.0028) q[6], q[2];\ncrx(0.001) q[6], q[1];\ncrx(0.0959) q[6], q[0];\ncrx(0.0025) q[5], q[11];\ncrx(0.0027) q[5], q[10];\ncrx(0.0036) q[5], q[9];\ncrx(-0.0027) q[5], q[8];\ncrx(0.0005) q[5], q[7];\ncrx(0.0043) q[5], q[6];\ncrx(-0.0003) q[5], q[4];\ncrx(0.3823) q[5], q[3];\ncrx(0.0028) q[5], q[2];\ncrx(0.001) q[5], q[1];\ncrx(0.0959) q[5], q[0];\ncrx(0.0025) q[4], q[11];\ncrx(0.0027) q[4], q[10];\ncrx(0.0036) q[4], q[9];\ncrx(-0.0027) q[4], q[8];\ncrx(0.0005) q[4], q[7];\ncrx(0.0043) q[4], q[6];\ncrx(0.0041) q[4], q[5];\ncrx(0.3823) q[4], q[3];\ncrx(0.0028) q[4], q[2];\ncrx(0.001) q[4], q[1];\ncrx(0.0959) q[4], q[0];\ncrx(0.0025) q[3], q[11];\ncrx(0.0027) q[3], q[10];\ncrx(0.0036) q[3], q[9];\ncrx(-0.0027) q[3], q[8];\ncrx(0.0005) q[3], q[7];\ncrx(0.0043) q[3], q[6];\ncrx(0.0041) q[3], q[5];\ncrx(-0.0003) q[3], q[4];\ncrx(0.0028) q[3], q[2];\ncrx(0.001) q[3], q[1];\ncrx(0.0959) q[3], q[0];\ncrx(0.0025) q[2], q[11];\ncrx(0.0027) q[2], q[10];\ncrx(0.0036) q[2], q[9];\ncrx(-0.0027) q[2], q[8];\ncrx(0.0005) q[2], q[7];\ncrx(0.0043) q[2], q[6];\ncrx(0.0041) q[2], q[5];\ncrx(-0.0003) q[2], q[4];\ncrx(0.3823) q[2], q[3];\ncrx(0.001) q[2], q[1];\ncrx(0.0959) q[2], q[0];\ncrx(0.0025) q[1], q[11];\ncrx(0.0027) q[1], q[10];\ncrx(0.0036) q[1], q[9];\ncrx(-0.0027) q[1], q[8];\ncrx(0.0005) q[1], q[7];\ncrx(0.0043) q[1], q[6];\ncrx(0.0041) q[1], q[5];\ncrx(-0.0003) q[1], q[4];\ncrx(0.3823) q[1], q[3];\ncrx(0.0028) q[1], q[2];\ncrx(0.0959) q[1], q[0];\ncrx(0.0025) q[0], q[11];\ncrx(0.0027) q[0], q[10];\ncrx(0.0036) q[0], q[9];\ncrx(-0.0027) q[0], q[8];\ncrx(0.0005) q[0], q[7];\ncrx(0.0043) q[0], q[6];\ncrx(0.0041) q[0], q[5];\ncrx(-0.0003) q[0], q[4];\ncrx(0.3823) q[0], q[3];\ncrx(0.0028) q[0], q[2];\ncrx(0.001) q[0], q[1];\nrx(0.2146) q[0];\nrz(0.0055) q[0];\nrx(0.0043) q[1];\nrz(0.0073) q[1];\nrx(-0.0005) q[2];\nrz(0.0006) q[2];\nrx(0.4009) q[3];\nrz(0.0002) q[3];\nrx(-0.0031) q[4];\nrz(0.0014) q[4];\nrx(0.0043) q[5];\nrz(0.0053) q[5];\nrx(0.0053) q[6];\nrz(0.0094) q[6];\nrx(-0.0011) q[7];\nrz(0.007) q[7];\nrx(-0.0071) q[8];\nrz(0.0071) q[8];\nrx(0.0023) q[9];\nrz(0.0017) q[9];\nrx(0.0015) q[10];\nrz(0.0058) q[10];\nrx(0.0033) q[11];\nrz(0.0013) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrx(x24) q[11], q[10];\ncrx(x25) q[11], q[9];\ncrx(x26) q[11], q[8];\ncrx(x27) q[11], q[7];\ncrx(x28) q[11], q[6];\ncrx(x29) q[11], q[5];\ncrx(x30) q[11], q[4];\ncrx(x31) q[11], q[3];\ncrx(x32) q[11], q[2];\ncrx(x33) q[11], q[1];\ncrx(x34) q[11], q[0];\ncrx(x12) q[10], q[11];\ncrx(x25) q[10], q[9];\ncrx(x26) q[10], q[8];\ncrx(x27) q[10], q[7];\ncrx(x28) q[10], q[6];\ncrx(x29) q[10], q[5];\ncrx(x30) q[10], q[4];\ncrx(x31) q[10], q[3];\ncrx(x32) q[10], q[2];\ncrx(x33) q[10], q[1];\ncrx(x34) q[10], q[0];\ncrx(x12) q[9], q[11];\ncrx(x24) q[9], q[10];\ncrx(x26) q[9], q[8];\ncrx(x27) q[9], q[7];\ncrx(x28) q[9], q[6];\ncrx(x29) q[9], q[5];\ncrx(x30) q[9], q[4];\ncrx(x31) q[9], q[3];\ncrx(x32) q[9], q[2];\ncrx(x33) q[9], q[1];\ncrx(x34) q[9], q[0];\ncrx(x12) q[8], q[11];\ncrx(x24) q[8], q[10];\ncrx(x25) q[8], q[9];\ncrx(x27) q[8], q[7];\ncrx(x28) q[8], q[6];\ncrx(x29) q[8], q[5];\ncrx(x30) q[8], q[4];\ncrx(x31) q[8], q[3];\ncrx(x32) q[8], q[2];\ncrx(x33) q[8], q[1];\ncrx(x34) q[8], q[0];\ncrx(x12) q[7], q[11];\ncrx(x24) q[7], q[10];\ncrx(x25) q[7], q[9];\ncrx(x26) q[7], q[8];\ncrx(x28) q[7], q[6];\ncrx(x29) q[7], q[5];\ncrx(x30) q[7], q[4];\ncrx(x31) q[7], q[3];\ncrx(x32) q[7], q[2];\ncrx(x33) q[7], q[1];\ncrx(x34) q[7], q[0];\ncrx(x12) q[6], q[11];\ncrx(x24) q[6], q[10];\ncrx(x25) q[6], q[9];\ncrx(x26) q[6], q[8];\ncrx(x27) q[6], q[7];\ncrx(x29) q[6], q[5];\ncrx(x30) q[6], q[4];\ncrx(x31) q[6], q[3];\ncrx(x32) q[6], q[2];\ncrx(x33) q[6], q[1];\ncrx(x34) q[6], q[0];\ncrx(x12) q[5], q[11];\ncrx(x24) q[5], q[10];\ncrx(x25) q[5], q[9];\ncrx(x26) q[5], q[8];\ncrx(x27) q[5], q[7];\ncrx(x28) q[5], q[6];\ncrx(x30) q[5], q[4];\ncrx(x31) q[5], q[3];\ncrx(x32) q[5], q[2];\ncrx(x33) q[5], q[1];\ncrx(x34) q[5], q[0];\ncrx(x12) q[4], q[11];\ncrx(x24) q[4], q[10];\ncrx(x25) q[4], q[9];\ncrx(x26) q[4], q[8];\ncrx(x27) q[4], q[7];\ncrx(x28) q[4], q[6];\ncrx(x29) q[4], q[5];\ncrx(x31) q[4], q[3];\ncrx(x32) q[4], q[2];\ncrx(x33) q[4], q[1];\ncrx(x34) q[4], q[0];\ncrx(x12) q[3], q[11];\ncrx(x24) q[3], q[10];\ncrx(x25) q[3], q[9];\ncrx(x26) q[3], q[8];\ncrx(x27) q[3], q[7];\ncrx(x28) q[3], q[6];\ncrx(x29) q[3], q[5];\ncrx(x30) q[3], q[4];\ncrx(x32) q[3], q[2];\ncrx(x33) q[3], q[1];\ncrx(x34) q[3], q[0];\ncrx(x12) q[2], q[11];\ncrx(x24) q[2], q[10];\ncrx(x25) q[2], q[9];\ncrx(x26) q[2], q[8];\ncrx(x27) q[2], q[7];\ncrx(x28) q[2], q[6];\ncrx(x29) q[2], q[5];\ncrx(x30) q[2], q[4];\ncrx(x31) q[2], q[3];\ncrx(x33) q[2], q[1];\ncrx(x34) q[2], q[0];\ncrx(x12) q[1], q[11];\ncrx(x24) q[1], q[10];\ncrx(x25) q[1], q[9];\ncrx(x26) q[1], q[8];\ncrx(x27) q[1], q[7];\ncrx(x28) q[1], q[6];\ncrx(x29) q[1], q[5];\ncrx(x30) q[1], q[4];\ncrx(x31) q[1], q[3];\ncrx(x32) q[1], q[2];\ncrx(x34) q[1], q[0];\ncrx(x12) q[0], q[11];\ncrx(x24) q[0], q[10];\ncrx(x25) q[0], q[9];\ncrx(x26) q[0], q[8];\ncrx(x27) q[0], q[7];\ncrx(x28) q[0], q[6];\ncrx(x29) q[0], q[5];\ncrx(x30) q[0], q[4];\ncrx(x31) q[0], q[3];\ncrx(x32) q[0], q[2];\ncrx(x33) q[0], q[1];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x10) q[1];\nrz(x37) q[1];\nrx(x38) q[2];\nrz(x39) q[2];\nrx(x40) q[3];\nrz(x41) q[3];\nrx(x42) q[4];\nrz(x43) q[4];\nrx(x44) q[5];\nrz(x45) q[5];\nrx(x46) q[6];\nrz(x47) q[6];\nrx(x48) q[7];\nrz(x49) q[7];\nrx(x50) q[8];\nrz(x51) q[8];\nrx(x52) q[9];\nrz(x53) q[9];\nrx(x54) q[10];\nrz(x55) q[10];\nrx(x56) q[11];\nrz(x57) q[11];\nrx(x58) q[0];\nrz(x59) q[0];\nrx(x60) q[1];\nrz(x61) q[1];\nrx(x62) q[2];\nrz(x63) q[2];\nrx(x64) q[3];\nrz(x65) q[3];\nrx(x66) q[4];\nrz(x67) q[4];\nrx(x24) q[5];\nrz(x68) q[5];\nrx(x69) q[6];\nrz(x70) q[6];\nrx(x42) q[7];\nrz(x71) q[7];\nrx(x72) q[8];\nrz(x73) q[8];\nrx(x74) q[9];\nrz(x75) q[9];\nrx(x48) q[10];\nrz(x5) q[10];\nrx(x14) q[11];\nrz(x76) q[11];\ncrx(x77) q[11], q[10];\ncrx(x27) q[11], q[9];\ncrx(x78) q[11], q[8];\ncrx(x79) q[11], q[7];\ncrx(x80) q[11], q[6];\ncrx(x81) q[11], q[5];\ncrx(x82) q[11], q[4];\ncrx(x83) q[11], q[3];\ncrx(x84) q[11], q[2];\ncrx(x32) q[11], q[1];\ncrx(x85) q[11], q[0];\ncrx(x86) q[10], q[11];\ncrx(x27) q[10], q[9];\ncrx(x78) q[10], q[8];\ncrx(x79) q[10], q[7];\ncrx(x80) q[10], q[6];\ncrx(x81) q[10], q[5];\ncrx(x82) q[10], q[4];\ncrx(x83) q[10], q[3];\ncrx(x84) q[10], q[2];\ncrx(x32) q[10], q[1];\ncrx(x85) q[10], q[0];\ncrx(x86) q[9], q[11];\ncrx(x77) q[9], q[10];\ncrx(x78) q[9], q[8];\ncrx(x79) q[9], q[7];\ncrx(x80) q[9], q[6];\ncrx(x81) q[9], q[5];\ncrx(x82) q[9], q[4];\ncrx(x83) q[9], q[3];\ncrx(x84) q[9], q[2];\ncrx(x32) q[9], q[1];\ncrx(x85) q[9], q[0];\ncrx(x86) q[8], q[11];\ncrx(x77) q[8], q[10];\ncrx(x27) q[8], q[9];\ncrx(x79) q[8], q[7];\ncrx(x80) q[8], q[6];\ncrx(x81) q[8], q[5];\ncrx(x82) q[8], q[4];\ncrx(x83) q[8], q[3];\ncrx(x84) q[8], q[2];\ncrx(x32) q[8], q[1];\ncrx(x85) q[8], q[0];\ncrx(x86) q[7], q[11];\ncrx(x77) q[7], q[10];\ncrx(x27) q[7], q[9];\ncrx(x78) q[7], q[8];\ncrx(x80) q[7], q[6];\ncrx(x81) q[7], q[5];\ncrx(x82) q[7], q[4];\ncrx(x83) q[7], q[3];\ncrx(x84) q[7], q[2];\ncrx(x32) q[7], q[1];\ncrx(x85) q[7], q[0];\ncrx(x86) q[6], q[11];\ncrx(x77) q[6], q[10];\ncrx(x27) q[6], q[9];\ncrx(x78) q[6], q[8];\ncrx(x79) q[6], q[7];\ncrx(x81) q[6], q[5];\ncrx(x82) q[6], q[4];\ncrx(x83) q[6], q[3];\ncrx(x84) q[6], q[2];\ncrx(x32) q[6], q[1];\ncrx(x85) q[6], q[0];\ncrx(x86) q[5], q[11];\ncrx(x77) q[5], q[10];\ncrx(x27) q[5], q[9];\ncrx(x78) q[5], q[8];\ncrx(x79) q[5], q[7];\ncrx(x80) q[5], q[6];\ncrx(x82) q[5], q[4];\ncrx(x83) q[5], q[3];\ncrx(x84) q[5], q[2];\ncrx(x32) q[5], q[1];\ncrx(x85) q[5], q[0];\ncrx(x86) q[4], q[11];\ncrx(x77) q[4], q[10];\ncrx(x27) q[4], q[9];\ncrx(x78) q[4], q[8];\ncrx(x79) q[4], q[7];\ncrx(x80) q[4], q[6];\ncrx(x81) q[4], q[5];\ncrx(x83) q[4], q[3];\ncrx(x84) q[4], q[2];\ncrx(x32) q[4], q[1];\ncrx(x85) q[4], q[0];\ncrx(x86) q[3], q[11];\ncrx(x77) q[3], q[10];\ncrx(x27) q[3], q[9];\ncrx(x78) q[3], q[8];\ncrx(x79) q[3], q[7];\ncrx(x80) q[3], q[6];\ncrx(x81) q[3], q[5];\ncrx(x82) q[3], q[4];\ncrx(x84) q[3], q[2];\ncrx(x32) q[3], q[1];\ncrx(x85) q[3], q[0];\ncrx(x86) q[2], q[11];\ncrx(x77) q[2], q[10];\ncrx(x27) q[2], q[9];\ncrx(x78) q[2], q[8];\ncrx(x79) q[2], q[7];\ncrx(x80) q[2], q[6];\ncrx(x81) q[2], q[5];\ncrx(x82) q[2], q[4];\ncrx(x83) q[2], q[3];\ncrx(x32) q[2], q[1];\ncrx(x85) q[2], q[0];\ncrx(x86) q[1], q[11];\ncrx(x77) q[1], q[10];\ncrx(x27) q[1], q[9];\ncrx(x78) q[1], q[8];\ncrx(x79) q[1], q[7];\ncrx(x80) q[1], q[6];\ncrx(x81) q[1], q[5];\ncrx(x82) q[1], q[4];\ncrx(x83) q[1], q[3];\ncrx(x84) q[1], q[2];\ncrx(x85) q[1], q[0];\ncrx(x86) q[0], q[11];\ncrx(x77) q[0], q[10];\ncrx(x27) q[0], q[9];\ncrx(x78) q[0], q[8];\ncrx(x79) q[0], q[7];\ncrx(x80) q[0], q[6];\ncrx(x81) q[0], q[5];\ncrx(x82) q[0], q[4];\ncrx(x83) q[0], q[3];\ncrx(x84) q[0], q[2];\ncrx(x32) q[0], q[1];\nrx(x87) q[0];\nrz(x48) q[0];\nrx(x80) q[1];\nrz(x88) q[1];\nrx(x89) q[2];\nrz(x4) q[2];\nrx(x90) q[3];\nrz(x52) q[3];\nrx(x91) q[4];\nrz(x92) q[4];\nrx(x80) q[5];\nrz(x93) q[5];\nrx(x93) q[6];\nrz(x94) q[6];\nrx(x95) q[7];\nrz(x96) q[7];\nrx(x97) q[8];\nrz(x98) q[8];\nrx(x46) q[9];\nrz(x99) q[9];\nrx(x62) q[10];\nrz(x100) q[10];\nrx(x7) q[11];\nrz(x54) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["833c89e8aca800e5707fb47ea63f9088","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [0, 4], \"expectation_value\": -2.5196134035896183, \"params\": [0.0025, 0.0031000000000000003, -0.0027, 0.0059, 1.61, 0.0053, 0.0024000000000000002, 0.0039000000000000003, 0.0023, 0.0047, 0.0047, 0.007200000000000001, 0.0029000000000000002, 0.0038, 0.007500000000000001], \"bitstrings\": [\"11111\", \"11011\"], \"total_optimization_steps\": 160, \"probabilities\": [0.48037762820527, 0.5196163137668101], \"optimization_time\": 3.8301992416381836}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4)",18,5,1,"{\"smallest_eigenvalues\": [-3.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"11011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nrx(0.0025) q[0];\nrz(0.0031) q[0];\nrx(-0.0027) q[1];\nrz(0.0059) q[1];\nrx(1.61) q[2];\nrz(0.0053) q[2];\nrx(0.0024) q[3];\nrz(0.0039) q[3];\nrx(0.0023) q[4];\nrz(0.0047) q[4];\ncrz(0.0047) q[4], q[0];\ncrz(0.0075) q[3], q[4];\ncrz(0.0038) q[2], q[3];\ncrz(0.0029) q[1], q[2];\ncrz(0.0072) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\ncrz(x9) q[4], q[0];\ncrz(x10) q[3], q[4];\ncrz(x11) q[2], q[3];\ncrz(x12) q[1], q[2];\ncrz(x13) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["b35b67be6f13e1c7d0fe900b84e9f3d0","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [90, 83], \"expectation_value\": -4.999144849564495, \"params\": null, \"bitstrings\": [\"0100101\", \"0101100\"], \"total_optimization_steps\": 36, \"probabilities\": [0.06552939467911352, 0.9338659442782039], \"optimization_time\": 40.019774436950684}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-5.0, -5.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"0101100\", \"0100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nry(-1.5681) q[1];\nry(1.4449) q[0];\nry(1.4449) q[5];\nry(1.4449) q[2];\ncry(-1.0343) q[6], q[3];\nry(0.7003) q[6];\nry(-0.4549) q[3];\ncry(0.4963) q[5], q[6];\ncry(-0.3789) q[5], q[3];\ncry(0.2489) q[2], q[6];\ncry(-0.1488) q[2], q[3];\ncry(0.1187) q[5], q[0];\ncry(0.1181) q[0], q[2];\ncry(0.1157) q[2], q[5];\ncry(0.0866) q[0], q[6];\ncry(-0.0495) q[0], q[3];\ncry(-0.0027) q[5], q[1];\ncry(0.0072) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":21554,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[1];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\ncry(-1.0343) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\ncry(-1.0343) q[6], q[3];\\nry(0.7003) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\ncry(-1.0343) q[6], q[3];\\nry(0.7003) q[6];\\nry(-0.4549) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\ncry(-1.0343) q[6], q[3];\\nry(0.7003) q[6];\\nry(-0.4549) q[3];\\ncry(0.4963) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\ncry(-1.0343) q[6], q[3];\\nry(0.7003) q[6];\\nry(-0.4549) q[3];\\ncry(0.4963) q[5], q[6];\\ncry(-0.3789) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.57"}}]
["a9cd4aa12f7ca1827a702e44ce491a57","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 4}, {\"weight\": 19, \"source\": 0, \"target\": 8}, {\"weight\": 13, \"source\": 0, \"target\": 11}, {\"weight\": 2, \"source\": 1, \"target\": 5}, {\"weight\": 17, \"source\": 1, \"target\": 10}, {\"weight\": 3, \"source\": 2, \"target\": 6}, {\"weight\": 18, \"source\": 2, \"target\": 5}, {\"weight\": 1, \"source\": 3, \"target\": 7}, {\"weight\": 15, \"source\": 3, \"target\": 6}]}","{\"states\": [490, 362], \"expectation_value\": -29.29924016928762, \"params\": [0.7008, 0.19590000000000002, 0.5305, 0.23270000000000002, 0.7026, 0.0045000000000000005, 0.6955, 0.3299, 0.4731, 0.3144, 0.7009000000000001, 0.1365, 0.4757, 0.23770000000000002, 0.7057, 0.0078000000000000005, -0.0019, 0.4506, 0.6984, 0.2142, 0.5234, 0.2273, 0.7021000000000001, 0.0431, 0.6946, 0.36200000000000004, 0.46950000000000003, 0.325, 0.6980000000000001, 0.1258, 0.4675, 0.23020000000000002, 0.7039000000000001, 0.0051, -0.0044, 0.44730000000000003, 0.6935, 0.0018000000000000002, 0.5349, 0.0058000000000000005, 0.7048, 0.0035, 0.6957, 0.0006000000000000001, 0.4803, 0.0038, 0.7023, 0.0098, 0.4691, 0.0015, 0.7071000000000001, 0.0081, -0.0017000000000000001, 0.0054, -0.4304, 0.23520000000000002, 0.2368, -0.08170000000000001, 0.37470000000000003, 0.19970000000000002, 0.2424, -0.057300000000000004, 0.0199, -0.38130000000000003, 0.2472, 0.2333, 0.0606, 0.40290000000000004, 0.3195, 0.2533, 0.2321, 0.030600000000000002, 0.0025, 0.007500000000000001, 0.0053, 0.0011, 0.0039000000000000003, 0.0038, 0.0057, 0.0067, 0.008400000000000001], \"bitstrings\": [\"000010101\", \"010010101\"], \"total_optimization_steps\": 70, \"probabilities\": [0.04293115758298413, 0.05271010883638404], \"optimization_time\": 41.01682925224304}","6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(7)) + 3.0 * Z(1) + 9.5 * Z(2) + 6.5 * Z(0) + 1.0 * Z(4) + 2.0 * Z(3) + 9.0 * Z(5) + 1.5 * Z(6) + 7.5 * Z(7) + -6.0 * Z(8)",18,9,3,"{\"smallest_eigenvalues\": [-74.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -67.0, \"smallest_bitstrings\": [\"010010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.7008) q[0];\nrz(0.1959) q[0];\nrx(0.5305) q[1];\nrz(0.2327) q[1];\nrx(0.7026) q[2];\nrz(0.0045) q[2];\nrx(0.6955) q[3];\nrz(0.3299) q[3];\nrx(0.4731) q[4];\nrz(0.3144) q[4];\nrx(0.7009) q[5];\nrz(0.1365) q[5];\nrx(0.4757) q[6];\nrz(0.2377) q[6];\nrx(0.7057) q[7];\nrz(0.0078) q[7];\nrx(-0.0019) q[8];\nrz(0.4506) q[8];\ncrz(-0.4304) q[8], q[0];\ncrz(0.0199) q[7], q[8];\ncrz(-0.0573) q[6], q[7];\ncrz(0.2424) q[5], q[6];\ncrz(0.1997) q[4], q[5];\ncrz(0.3747) q[3], q[4];\ncrz(-0.0817) q[2], q[3];\ncrz(0.2368) q[1], q[2];\ncrz(0.2352) q[0], q[1];\nrx(0.6984) q[0];\nrz(0.2142) q[0];\nrx(0.5234) q[1];\nrz(0.2273) q[1];\nrx(0.7021) q[2];\nrz(0.0431) q[2];\nrx(0.6946) q[3];\nrz(0.362) q[3];\nrx(0.4695) q[4];\nrz(0.325) q[4];\nrx(0.698) q[5];\nrz(0.1258) q[5];\nrx(0.4675) q[6];\nrz(0.2302) q[6];\nrx(0.7039) q[7];\nrz(0.0051) q[7];\nrx(-0.0044) q[8];\nrz(0.4473) q[8];\ncrz(-0.3813) q[8], q[0];\ncrz(0.0306) q[7], q[8];\ncrz(0.2321) q[6], q[7];\ncrz(0.2533) q[5], q[6];\ncrz(0.3195) q[4], q[5];\ncrz(0.4029) q[3], q[4];\ncrz(0.0606) q[2], q[3];\ncrz(0.2333) q[1], q[2];\ncrz(0.2472) q[0], q[1];\nrx(0.6935) q[0];\nrz(0.0018) q[0];\nrx(0.5349) q[1];\nrz(0.0058) q[1];\nrx(0.7048) q[2];\nrz(0.0035) q[2];\nrx(0.6957) q[3];\nrz(0.0006) q[3];\nrx(0.4803) q[4];\nrz(0.0038) q[4];\nrx(0.7023) q[5];\nrz(0.0098) q[5];\nrx(0.4691) q[6];\nrz(0.0015) q[6];\nrx(0.7071) q[7];\nrz(0.0081) q[7];\nrx(-0.0017) q[8];\nrz(0.0054) q[8];\ncrz(0.0025) q[8], q[0];\ncrz(0.0084) q[7], q[8];\ncrz(0.0067) q[6], q[7];\ncrz(0.0057) q[5], q[6];\ncrz(0.0038) q[4], q[5];\ncrz(0.0039) q[3], q[4];\ncrz(0.0011) q[2], q[3];\ncrz(0.0053) q[1], q[2];\ncrz(0.0075) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\ncrz(x45) q[8], q[0];\ncrz(x46) q[7], q[8];\ncrz(x47) q[6], q[7];\ncrz(x48) q[5], q[6];\ncrz(x49) q[4], q[5];\ncrz(x50) q[3], q[4];\ncrz(x51) q[2], q[3];\ncrz(x52) q[1], q[2];\ncrz(x53) q[0], q[1];\nrx(x54) q[0];\nrz(x55) q[0];\nrx(x56) q[1];\nrz(x57) q[1];\nrx(x58) q[2];\nrz(x59) q[2];\nrx(x60) q[3];\nrz(x61) q[3];\nrx(x62) q[4];\nrz(x63) q[4];\nrx(x64) q[5];\nrz(x65) q[5];\nrx(x66) q[6];\nrz(x67) q[6];\nrx(x68) q[7];\nrz(x69) q[7];\nrx(x70) q[8];\nrz(x71) q[8];\ncrz(x72) q[8], q[0];\ncrz(x73) q[7], q[8];\ncrz(x74) q[6], q[7];\ncrz(x75) q[5], q[6];\ncrz(x63) q[4], q[5];\ncrz(x76) q[3], q[4];\ncrz(x77) q[2], q[3];\ncrz(x78) q[1], q[2];\ncrz(x79) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8, 9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["b9d8dea3f34f04a0eee6c2744dd91d55","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [40, 168], \"expectation_value\": -5.901126691512715, \"params\": [[[1.3828, -0.1496, 0.0043, 0.0061], [1.0953000000000002, 0.3401, 0.5496, 0.40340000000000004], [0.4007, 0.23190000000000002, 0.3148, -0.056900000000000006], [0.0089, -0.5602, -0.27540000000000003, -0.0902], [1.4241000000000001, 0.014700000000000001, 1.4083, -0.1101], [0.8026000000000001, -0.08030000000000001, -0.42360000000000003, -0.2811], [0.015600000000000001, 0.0407, -0.011600000000000001, 0.4282], [0.0022, 0.9202, 0.008400000000000001, 0.0037]], [[0.5392, 0.3069, 0.0009000000000000001, 0.0022], [0.3402, 0.44770000000000004, 0.33540000000000003, 0.39930000000000004], [0.886, 0.0801, 0.5924, -0.9904000000000001], [-0.2222, -0.15560000000000002, 0.1042, -0.14120000000000002], [0.0409, -0.1899, -0.063, 0.2889], [-0.3063, 0.2129, -0.10160000000000001, 0.19840000000000002], [0.0026000000000000003, 0.6559, 0.0034000000000000002, 0.5792], [0.0027, 0.9166000000000001, 0.0038, 0.0036000000000000003]], [[0.2466, -0.46, 0.0068000000000000005, 0.0028], [0.7173, -0.1497, -0.7521, -0.7815000000000001], [0.6648000000000001, -0.5222, 1.1977, 0.058100000000000006], [0.1819, 0.7969, 0.1331, 0.0316], [0.13620000000000002, 0.6319, 0.1263, -0.0502], [0.0858, -0.4096, 0.14120000000000002, -0.3533], [-0.0227, 0.018600000000000002, 0.0162, -0.1305], [0.002, 1.0232, 0.0034000000000000002, 0.0088]], [[0.649, -1.3919000000000001, 0.0038, 0.0097], [-0.6668000000000001, 0.3871, 0.3497, 0.0022], [-1.2468000000000001, -0.43370000000000003, -0.2796, 0.0045000000000000005], [0.116, 0.2083, -0.0019, 0.0014], [-0.0048000000000000004, 0.0514, 0.0179, 0.001], [-0.1454, 0.5202, 0.0356, 0.004200000000000001], [0.0016, -0.0071, 0.0053, 0.006], [-0.002, 0.0098, 0.009300000000000001, 0.0039000000000000003]]], \"bitstrings\": [\"11010111\", \"01010111\"], \"total_optimization_steps\": 160, \"probabilities\": [0.42821004832062604, 0.4388071193215976], \"optimization_time\": 101.17510890960693}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(7) + -1.5 * Z(2) + -2.0 * Z(6) + -1.5 * Z(4) + -0.5 * Z(5)",11,8,4,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"10101110\", \"01011011\", \"01010111\", \"01111001\", \"10101011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(1.3828) q[0];\nrz(-0.1496) q[0];\nry(1.0953) q[1];\nrz(0.3401) q[1];\nry(0.4007) q[2];\nrz(0.2319) q[2];\nry(0.0089) q[3];\nrz(-0.5602) q[3];\nry(1.4241) q[4];\nrz(0.0147) q[4];\nry(0.8026) q[5];\nrz(-0.0803) q[5];\nry(0.0156) q[6];\nrz(0.0407) q[6];\nry(0.0022) q[7];\nrz(0.9202) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.5496) q[1];\nrz(0.4034) q[1];\nry(0.3148) q[2];\nrz(-0.0569) q[2];\ncx q[2], q[1];\nry(-0.2754) q[3];\nrz(-0.0902) q[3];\nry(1.4083) q[4];\nrz(-0.1101) q[4];\ncx q[4], q[3];\nry(-0.4236) q[5];\nrz(-0.2811) q[5];\nry(-0.0116) q[6];\nrz(0.4282) q[6];\ncx q[6], q[5];\nry(0.5392) q[0];\nrz(0.3069) q[0];\nry(0.3402) q[1];\nrz(0.4477) q[1];\nry(0.886) q[2];\nrz(0.0801) q[2];\nry(-0.2222) q[3];\nrz(-0.1556) q[3];\nry(0.0409) q[4];\nrz(-0.1899) q[4];\nry(-0.3063) q[5];\nrz(0.2129) q[5];\nry(0.0026) q[6];\nrz(0.6559) q[6];\nry(0.0027) q[7];\nrz(0.9166) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.3354) q[1];\nrz(0.3993) q[1];\nry(0.5924) q[2];\nrz(-0.9904) q[2];\ncx q[2], q[1];\nry(0.1042) q[3];\nrz(-0.1412) q[3];\nry(-0.063) q[4];\nrz(0.2889) q[4];\ncx q[4], q[3];\nry(-0.1016) q[5];\nrz(0.1984) q[5];\nry(0.0034) q[6];\nrz(0.5792) q[6];\ncx q[6], q[5];\nry(0.2466) q[0];\nrz(-0.46) q[0];\nry(0.7173) q[1];\nrz(-0.1497) q[1];\nry(0.6648) q[2];\nrz(-0.5222) q[2];\nry(0.1819) q[3];\nrz(0.7969) q[3];\nry(0.1362) q[4];\nrz(0.6319) q[4];\nry(0.0858) q[5];\nrz(-0.4096) q[5];\nry(-0.0227) q[6];\nrz(0.0186) q[6];\nry(0.002) q[7];\nrz(1.0232) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(-0.7521) q[1];\nrz(-0.7815) q[1];\nry(1.1977) q[2];\nrz(0.0581) q[2];\ncx q[2], q[1];\nry(0.1331) q[3];\nrz(0.0316) q[3];\nry(0.1263) q[4];\nrz(-0.0502) q[4];\ncx q[4], q[3];\nry(0.1412) q[5];\nrz(-0.3533) q[5];\nry(0.0162) q[6];\nrz(-0.1305) q[6];\ncx q[6], q[5];\nry(0.649) q[0];\nrz(-1.3919) q[0];\nry(-0.6668) q[1];\nrz(0.3871) q[1];\nry(-1.2468) q[2];\nrz(-0.4337) q[2];\nry(0.116) q[3];\nrz(0.2083) q[3];\nry(-0.0048) q[4];\nrz(0.0514) q[4];\nry(-0.1454) q[5];\nrz(0.5202) q[5];\nry(0.0016) q[6];\nrz(-0.0071) q[6];\nry(-0.002) q[7];\nrz(0.0098) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.3497) q[1];\nrz(0.0022) q[1];\nry(-0.2796) q[2];\nrz(0.0045) q[2];\ncx q[2], q[1];\nry(-0.0019) q[3];\nrz(0.0014) q[3];\nry(0.0179) q[4];\nrz(0.001) q[4];\ncx q[4], q[3];\nry(0.0356) q[5];\nrz(0.0042) q[5];\nry(0.0053) q[6];\nrz(0.006) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x16) q[1];\nrz(x17) q[1];\nry(x18) q[2];\nrz(x19) q[2];\ncx q[2], q[1];\nry(x20) q[3];\nrz(x21) q[3];\nry(x22) q[4];\nrz(x23) q[4];\ncx q[4], q[3];\nry(x24) q[5];\nrz(x25) q[5];\nry(x26) q[6];\nrz(x27) q[6];\ncx q[6], q[5];\nry(x28) q[0];\nrz(x29) q[0];\nry(x30) q[1];\nrz(x31) q[1];\nry(x32) q[2];\nrz(x33) q[2];\nry(x34) q[3];\nrz(x35) q[3];\nry(x36) q[4];\nrz(x37) q[4];\nry(x38) q[5];\nrz(x39) q[5];\nry(x40) q[6];\nrz(x41) q[6];\nry(x42) q[7];\nrz(x43) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x44) q[1];\nrz(x45) q[1];\nry(x46) q[2];\nrz(x47) q[2];\ncx q[2], q[1];\nry(x48) q[3];\nrz(x49) q[3];\nry(x50) q[4];\nrz(x51) q[4];\ncx q[4], q[3];\nry(x52) q[5];\nrz(x53) q[5];\nry(x54) q[6];\nrz(x55) q[6];\ncx q[6], q[5];\nry(x56) q[0];\nrz(x57) q[0];\nry(x58) q[1];\nrz(x59) q[1];\nry(x60) q[2];\nrz(x61) q[2];\nry(x62) q[3];\nrz(x63) q[3];\nry(x64) q[4];\nrz(x65) q[4];\nry(x66) q[5];\nrz(x67) q[5];\nry(x68) q[6];\nrz(x69) q[6];\nry(x70) q[7];\nrz(x71) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x72) q[1];\nrz(x73) q[1];\nry(x74) q[2];\nrz(x75) q[2];\ncx q[2], q[1];\nry(x76) q[3];\nrz(x77) q[3];\nry(x78) q[4];\nrz(x79) q[4];\ncx q[4], q[3];\nry(x80) q[5];\nrz(x81) q[5];\nry(x82) q[6];\nrz(x83) q[6];\ncx q[6], q[5];\nry(x84) q[0];\nrz(x85) q[0];\nry(x86) q[1];\nrz(x87) q[1];\nry(x88) q[2];\nrz(x89) q[2];\nry(x90) q[3];\nrz(x91) q[3];\nry(x92) q[4];\nrz(x93) q[4];\nry(x94) q[5];\nrz(x95) q[5];\nry(x96) q[6];\nrz(x97) q[6];\nry(x98) q[7];\nrz(x99) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x100) q[1];\nrz(x14) q[1];\nry(x101) q[2];\nrz(x102) q[2];\ncx q[2], q[1];\nry(x103) q[3];\nrz(x104) q[3];\nry(x105) q[4];\nrz(x106) q[4];\ncx q[4], q[3];\nry(x107) q[5];\nrz(x108) q[5];\nry(x109) q[6];\nrz(x110) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["5293517756546958523","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[0, 1, 2, 3, 6, 7, 8], [1, 2, 3, 6, 7, 8, 9], [8, 2, 4, 7], [0, 1, 4, 5, 7, 8, 9], [0, 2, 3, 4, 6, 7], [0, 2, 3, 4, 5, 6, 9], [2, 5, 7, 8, 9], [0, 1, 2, 5, 6, 7, 8], [2, 3, 4, 5, 8, 9], [0, 1, 3, 5, 6, 7, 9], [0, 1, 2, 4], [9, 2, 5, 1], [0, 2, 3, 7, 9], [1, 2, 3, 4], [1, 4, 6, 7], [1, 3, 4, 5, 7, 8, 9], [4, 5, 6, 7, 8, 9], [0, 3, 5, 7, 8], [0, 1, 2, 6, 9]]}","{\"states\": [869, 871], \"expectation_value\": -3.2260365996100724, \"params\": [[[3.1441000000000003, 0.0043], [2.6575, 0.007], [0.7693, 0.0008], [3.1447000000000003, 0.0006000000000000001], [3.1391, 0.009300000000000001], [0.7832, 0.0056], [0.8054, 0.008], [3.1436, 0.0028], [1.5741, 0.0048000000000000004], [3.1442, 0.0091]]], \"bitstrings\": [\"0010011010\", \"0010011000\"], \"total_optimization_steps\": 350, \"probabilities\": [0.2918372830910245, 0.29376697207387437], \"optimization_time\": 16.356384992599487}","0.22857142857142854 * (Z(0) @ Z(1)) + 0.3714285714285714 * (Z(2) @ Z(1)) + 0.28809523809523807 * (Z(2) @ Z(0)) + 0.17857142857142858 * (Z(3) @ Z(1)) + 0.20476190476190476 * (Z(3) @ Z(0)) + 0.2714285714285714 * (Z(3) @ Z(2)) + 0.22857142857142854 * (Z(6) @ Z(1)) + 0.17857142857142855 * (Z(6) @ Z(0)) + 0.17857142857142855 * (Z(6) @ Z(2)) + 0.12857142857142856 * (Z(6) @ Z(3)) + 0.2261904761904762 * (Z(7) @ Z(1)) + 0.22857142857142854 * (Z(7) @ Z(0)) + 0.28809523809523807 * (Z(7) @ Z(2)) + 0.2285714285714286 * (Z(7) @ Z(3)) + 0.2452380952380952 * (Z(7) @ Z(6)) + 0.11904761904761904 * (Z(8) @ Z(1)) + 0.12142857142857143 * (Z(8) @ Z(0)) + 0.23809523809523805 * (Z(8) @ Z(2)) + 0.15476190476190477 * (Z(8) @ Z(3)) + 0.10476190476190475 * (Z(8) @ Z(6)) + 0.3357142857142857 * (Z(8) @ Z(7)) + 0.2285714285714286 * (Z(9) @ Z(1)) + 0.17142857142857143 * (Z(9) @ Z(0)) + 0.3142857142857143 * (Z(9) @ Z(2)) + 0.17857142857142858 * (Z(9) @ Z(3)) + 0.15476190476190477 * (Z(9) @ Z(6)) + 0.22857142857142856 * (Z(9) @ Z(7)) + 0.1880952380952381 * (Z(9) @ Z(8)) + 0.29761904761904756 * (Z(4) @ Z(1)) + 0.16428571428571426 * (Z(4) @ Z(0)) + 0.34047619047619043 * (Z(4) @ Z(2)) + 0.1976190476190476 * (Z(4) @ Z(3)) + 0.1738095238095238 * (Z(4) @ Z(6)) + 0.28095238095238095 * (Z(4) @ Z(7)) + 0.1976190476190476 * (Z(4) @ Z(8)) + 0.13809523809523808 * (Z(4) @ Z(9)) + 0.17857142857142858 * (Z(5) @ Z(1)) + 0.14523809523809522 * (Z(5) @ Z(0)) + 0.2142857142857143 * (Z(5) @ Z(2)) + 0.15476190476190477 * (Z(5) @ Z(3)) + 0.10476190476190475 * (Z(5) @ Z(6)) + 0.22857142857142854 * (Z(5) @ Z(7)) + 0.23809523809523808 * (Z(5) @ Z(8)) + 0.2952380952380952 * (Z(5) @ Z(9)) + 0.13809523809523808 * (Z(5) @ Z(4)) + 1.0285714285714285 * Z(1) + 0.8654761904761907 * Z(0) + 1.2523809523809524 * Z(2) + 0.8488095238095237 * Z(3) + 0.7488095238095241 * Z(6) + 1.1452380952380952 * Z(7) + 0.8488095238095238 * Z(8) + 0.9488095238095238 * Z(9) + 0.9642857142857139 * Z(4) + 0.8488095238095236 * Z(5)",1,10,1,"{\"smallest_eigenvalues\": [-3.7095238095238083], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.6619047619047613, \"smallest_bitstrings\": [\"0010011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(3.1441) q[0];\nrz(0.0043) q[0];\nrx(2.6575) q[1];\nrz(0.007) q[1];\nrx(0.7693) q[2];\nrz(0.0008) q[2];\nrx(3.1447) q[3];\nrz(0.0006) q[3];\nrx(3.1391) q[4];\nrz(0.0093) q[4];\nrx(0.7832) q[5];\nrz(0.0056) q[5];\nrx(0.8054) q[6];\nrz(0.008) q[6];\nrx(3.1436) q[7];\nrz(0.0028) q[7];\nrx(1.5741) q[8];\nrz(0.0048) q[8];\nrx(3.1442) q[9];\nrz(0.0091) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["d081b5ece414d97b04408b0b42241cfc","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}]}","{\"states\": [1742, 1551], \"expectation_value\": -5.046597978433528, \"params\": [[0.06860000000000001, 0.063, 0.0459], [-0.064, -0.064, -0.055200000000000006]], \"bitstrings\": [\"00100110001\", \"00111110000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0012958073490729441, 0.0013144430025340608], \"optimization_time\": 8.255420207977295}","0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 1.0 * (Z(10) @ Z(4)) + 2.0 * (Z(10) @ Z(9)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(10)) + 0.75 * Z(1) + 0.75 * Z(0) + 3.5 * Z(7) + 0.75 * Z(2) + 3.5 * Z(8) + 0.75 * Z(3) + 0.5 * Z(4) + -1.0 * Z(5) + 4.0 * Z(9) + 8.0 * Z(10) + -1.5 * Z(6)",1,11,3,"{\"smallest_eigenvalues\": [-16.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.5, \"smallest_bitstrings\": [\"00111110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(0.0515) q[0];\ncx q[1], q[0];\ncx q[7], q[2];\nrz(0.0686) q[2];\ncx q[7], q[2];\ncx q[7], q[8];\nrz(0.1372) q[8];\ncx q[7], q[8];\ncx q[2], q[8];\nrz(0.0686) q[8];\ncx q[2], q[8];\ncx q[7], q[3];\nrz(0.0686) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(0.0515) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(0.0686) q[3];\ncx q[8], q[3];\ncx q[7], q[4];\nrz(-0.0686) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(-0.0686) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(-0.0686) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(-0.0686) q[4];\ncx q[3], q[4];\ncx q[7], q[5];\nrz(-0.0686) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(-0.0686) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(-0.0686) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(-0.0686) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0686) q[5];\ncx q[4], q[5];\ncx q[7], q[9];\nrz(0.0686) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(0.0686) q[9];\ncx q[8], q[9];\ncx q[4], q[9];\nrz(0.0686) q[9];\ncx q[4], q[9];\ncx q[7], q[10];\nrz(0.1372) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(0.1372) q[10];\ncx q[8], q[10];\ncx q[4], q[10];\nrz(0.1372) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(0.2744) q[10];\ncx q[9], q[10];\ncx q[4], q[6];\nrz(-0.0686) q[6];\ncx q[4], q[6];\ncx q[9], q[6];\nrz(-0.0686) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(-0.1372) q[6];\ncx q[10], q[6];\nrz(0.1029) q[1];\nrz(0.1029) q[0];\nrz(0.4802) q[7];\nrz(0.1029) q[2];\nrz(0.4802) q[8];\nrz(0.1029) q[3];\nrz(0.0686) q[4];\nrz(-0.1372) q[5];\nrz(0.5488) q[9];\nrz(1.0976) q[10];\nrz(-0.2058) q[6];\nh q[0];\nrz(-0.128) q[0];\nh q[0];\nh q[1];\nrz(-0.128) q[1];\nh q[1];\nh q[2];\nrz(-0.128) q[2];\nh q[2];\nh q[3];\nrz(-0.128) q[3];\nh q[3];\nh q[4];\nrz(-0.128) q[4];\nh q[4];\nh q[5];\nrz(-0.128) q[5];\nh q[5];\nh q[6];\nrz(-0.128) q[6];\nh q[6];\nh q[7];\nrz(-0.128) q[7];\nh q[7];\nh q[8];\nrz(-0.128) q[8];\nh q[8];\nh q[9];\nrz(-0.128) q[9];\nh q[9];\nh q[10];\nrz(-0.128) q[10];\nh q[10];\ncx q[1], q[0];\nrz(0.0473) q[0];\ncx q[1], q[0];\ncx q[7], q[2];\nrz(0.063) q[2];\ncx q[7], q[2];\ncx q[7], q[8];\nrz(0.126) q[8];\ncx q[7], q[8];\ncx q[2], q[8];\nrz(0.063) q[8];\ncx q[2], q[8];\ncx q[7], q[3];\nrz(0.063) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(0.0473) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(0.063) q[3];\ncx q[8], q[3];\ncx q[7], q[4];\nrz(-0.063) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(-0.063) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(-0.063) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(-0.063) q[4];\ncx q[3], q[4];\ncx q[7], q[5];\nrz(-0.063) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(-0.063) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(-0.063) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(-0.063) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.063) q[5];\ncx q[4], q[5];\ncx q[7], q[9];\nrz(0.063) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(0.063) q[9];\ncx q[8], q[9];\ncx q[4], q[9];\nrz(0.063) q[9];\ncx q[4], q[9];\ncx q[7], q[10];\nrz(0.126) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(0.126) q[10];\ncx q[8], q[10];\ncx q[4], q[10];\nrz(0.126) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(0.252) q[10];\ncx q[9], q[10];\ncx q[4], q[6];\nrz(-0.063) q[6];\ncx q[4], q[6];\ncx q[9], q[6];\nrz(-0.063) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(-0.126) q[6];\ncx q[10], q[6];\nrz(0.0945) q[1];\nrz(0.0945) q[0];\nrz(0.441) q[7];\nrz(0.0945) q[2];\nrz(0.441) q[8];\nrz(0.0945) q[3];\nrz(0.063) q[4];\nrz(-0.126) q[5];\nrz(0.504) q[9];\nrz(1.008) q[10];\nrz(-0.189) q[6];\nh q[0];\nrz(-0.128) q[0];\nh q[0];\nh q[1];\nrz(-0.128) q[1];\nh q[1];\nh q[2];\nrz(-0.128) q[2];\nh q[2];\nh q[3];\nrz(-0.128) q[3];\nh q[3];\nh q[4];\nrz(-0.128) q[4];\nh q[4];\nh q[5];\nrz(-0.128) q[5];\nh q[5];\nh q[6];\nrz(-0.128) q[6];\nh q[6];\nh q[7];\nrz(-0.128) q[7];\nh q[7];\nh q[8];\nrz(-0.128) q[8];\nh q[8];\nh q[9];\nrz(-0.128) q[9];\nh q[9];\nh q[10];\nrz(-0.128) q[10];\nh q[10];\ncx q[1], q[0];\nrz(0.0344) q[0];\ncx q[1], q[0];\ncx q[7], q[2];\nrz(0.0459) q[2];\ncx q[7], q[2];\ncx q[7], q[8];\nrz(0.0918) q[8];\ncx q[7], q[8];\ncx q[2], q[8];\nrz(0.0459) q[8];\ncx q[2], q[8];\ncx q[7], q[3];\nrz(0.0459) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(0.0344) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(0.0459) q[3];\ncx q[8], q[3];\ncx q[7], q[4];\nrz(-0.0459) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(-0.0459) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(-0.0459) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(-0.0459) q[4];\ncx q[3], q[4];\ncx q[7], q[5];\nrz(-0.0459) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(-0.0459) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(-0.0459) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(-0.0459) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0459) q[5];\ncx q[4], q[5];\ncx q[7], q[9];\nrz(0.0459) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(0.0459) q[9];\ncx q[8], q[9];\ncx q[4], q[9];\nrz(0.0459) q[9];\ncx q[4], q[9];\ncx q[7], q[10];\nrz(0.0918) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(0.0918) q[10];\ncx q[8], q[10];\ncx q[4], q[10];\nrz(0.0918) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(0.1836) q[10];\ncx q[9], q[10];\ncx q[4], q[6];\nrz(-0.0459) q[6];\ncx q[4], q[6];\ncx q[9], q[6];\nrz(-0.0459) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(-0.0918) q[6];\ncx q[10], q[6];\nrz(0.0689) q[1];\nrz(0.0689) q[0];\nrz(0.3213) q[7];\nrz(0.0689) q[2];\nrz(0.3213) q[8];\nrz(0.0689) q[3];\nrz(0.0459) q[4];\nrz(-0.0918) q[5];\nrz(0.3672) q[9];\nrz(0.7344) q[10];\nrz(-0.1377) q[6];\nh q[0];\nrz(-0.1104) q[0];\nh q[0];\nh q[1];\nrz(-0.1104) q[1];\nh q[1];\nh q[2];\nrz(-0.1104) q[2];\nh q[2];\nh q[3];\nrz(-0.1104) q[3];\nh q[3];\nh q[4];\nrz(-0.1104) q[4];\nh q[4];\nh q[5];\nrz(-0.1104) q[5];\nh q[5];\nh q[6];\nrz(-0.1104) q[6];\nh q[6];\nh q[7];\nrz(-0.1104) q[7];\nh q[7];\nh q[8];\nrz(-0.1104) q[8];\nh q[8];\nh q[9];\nrz(-0.1104) q[9];\nh q[9];\nh q[10];\nrz(-0.1104) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[7], q[2];\nrz(x1) q[2];\ncx q[7], q[2];\ncx q[7], q[8];\nrz(x2) q[8];\ncx q[7], q[8];\ncx q[2], q[8];\nrz(x1) q[8];\ncx q[2], q[8];\ncx q[7], q[3];\nrz(x1) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(x1) q[3];\ncx q[8], q[3];\ncx q[7], q[4];\nrz(x3) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(x3) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(x3) q[4];\ncx q[3], q[4];\ncx q[7], q[5];\nrz(x3) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(x3) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[7], q[9];\nrz(x1) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(x1) q[9];\ncx q[8], q[9];\ncx q[4], q[9];\nrz(x1) q[9];\ncx q[4], q[9];\ncx q[7], q[10];\nrz(x2) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(x2) q[10];\ncx q[8], q[10];\ncx q[4], q[10];\nrz(x2) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(x4) q[10];\ncx q[9], q[10];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[9], q[6];\nrz(x3) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(x5) q[6];\ncx q[10], q[6];\nrz(x6) q[1];\nrz(x6) q[0];\nrz(x7) q[7];\nrz(x6) q[2];\nrz(x7) q[8];\nrz(x6) q[3];\nrz(x1) q[4];\nrz(x5) q[5];\nrz(x8) q[9];\nrz(x9) q[10];\nrz(x10) q[6];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\nh q[9];\nrz(x11) q[9];\nh q[9];\nh q[10];\nrz(x11) q[10];\nh q[10];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[7], q[2];\nrz(x13) q[2];\ncx q[7], q[2];\ncx q[7], q[8];\nrz(x14) q[8];\ncx q[7], q[8];\ncx q[2], q[8];\nrz(x13) q[8];\ncx q[2], q[8];\ncx q[7], q[3];\nrz(x13) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(x12) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(x13) q[3];\ncx q[8], q[3];\ncx q[7], q[4];\nrz(x15) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(x15) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(x15) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(x15) q[4];\ncx q[3], q[4];\ncx q[7], q[5];\nrz(x15) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(x15) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(x15) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(x15) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x13) q[5];\ncx q[4], q[5];\ncx q[7], q[9];\nrz(x13) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(x13) q[9];\ncx q[8], q[9];\ncx q[4], q[9];\nrz(x13) q[9];\ncx q[4], q[9];\ncx q[7], q[10];\nrz(x14) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(x14) q[10];\ncx q[8], q[10];\ncx q[4], q[10];\nrz(x14) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(x16) q[10];\ncx q[9], q[10];\ncx q[4], q[6];\nrz(x15) q[6];\ncx q[4], q[6];\ncx q[9], q[6];\nrz(x15) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(x17) q[6];\ncx q[10], q[6];\nrz(x18) q[1];\nrz(x18) q[0];\nrz(x19) q[7];\nrz(x18) q[2];\nrz(x19) q[8];\nrz(x18) q[3];\nrz(x13) q[4];\nrz(x17) q[5];\nrz(x20) q[9];\nrz(x21) q[10];\nrz(x22) q[6];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\nh q[9];\nrz(x11) q[9];\nh q[9];\nh q[10];\nrz(x11) q[10];\nh q[10];\ncx q[1], q[0];\nrz(x23) q[0];\ncx q[1], q[0];\ncx q[7], q[2];\nrz(x24) q[2];\ncx q[7], q[2];\ncx q[7], q[8];\nrz(x25) q[8];\ncx q[7], q[8];\ncx q[2], q[8];\nrz(x24) q[8];\ncx q[2], q[8];\ncx q[7], q[3];\nrz(x24) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(x23) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(x24) q[3];\ncx q[8], q[3];\ncx q[7], q[4];\nrz(x26) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(x26) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(x26) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(x26) q[4];\ncx q[3], q[4];\ncx q[7], q[5];\nrz(x26) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(x26) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(x26) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(x26) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x24) q[5];\ncx q[4], q[5];\ncx q[7], q[9];\nrz(x24) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(x24) q[9];\ncx q[8], q[9];\ncx q[4], q[9];\nrz(x24) q[9];\ncx q[4], q[9];\ncx q[7], q[10];\nrz(x25) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(x25) q[10];\ncx q[8], q[10];\ncx q[4], q[10];\nrz(x25) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(x27) q[10];\ncx q[9], q[10];\ncx q[4], q[6];\nrz(x26) q[6];\ncx q[4], q[6];\ncx q[9], q[6];\nrz(x26) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(x28) q[6];\ncx q[10], q[6];\nrz(x29) q[1];\nrz(x29) q[0];\nrz(x30) q[7];\nrz(x29) q[2];\nrz(x30) q[8];\nrz(x29) q[3];\nrz(x24) q[4];\nrz(x28) q[5];\nrz(x31) q[9];\nrz(x32) q[10];\nrz(x33) q[6];\nh q[0];\nrz(x34) q[0];\nh q[0];\nh q[1];\nrz(x34) q[1];\nh q[1];\nh q[2];\nrz(x34) q[2];\nh q[2];\nh q[3];\nrz(x34) q[3];\nh q[3];\nh q[4];\nrz(x34) q[4];\nh q[4];\nh q[5];\nrz(x34) q[5];\nh q[5];\nh q[6];\nrz(x34) q[6];\nh q[6];\nh q[7];\nrz(x34) q[7];\nh q[7];\nh q[8];\nrz(x34) q[8];\nh q[8];\nh q[9];\nrz(x34) q[9];\nh q[9];\nh q[10];\nrz(x34) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["67c6f559915de0df58f5c334e561be87","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 7}, {\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 7}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 8}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 8}]}","{\"states\": [340, 348], \"expectation_value\": -5.017673465628802, \"params\": [[1.0676, -0.0045000000000000005, 1.0671000000000002, -0.0025, 1.3914, 0.49160000000000004, 1.3865, -0.0017000000000000001, -0.0016], [1.0348, -0.005, 1.0503, -0.0026000000000000003, 0.7019000000000001, 0.057100000000000005, 0.7033, -0.0023, -0.0029000000000000002], [1.0470000000000002, 0.0024000000000000002, 1.0302, -0.0025, 1.1099, 1.4075, 1.1053, -0.0017000000000000001, -0.0028]], \"bitstrings\": [\"010101011\", \"010100011\"], \"total_optimization_steps\": 140, \"probabilities\": [0.4073400891418144, 0.5544223015174039], \"optimization_time\": 12.906095743179321}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + -0.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(7) + -1.5 * Z(8) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6)",10,9,2,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"010100011\", \"001100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(1.0676) q[0];\nry(-0.0045) q[1];\nry(1.0671) q[2];\nry(-0.0025) q[3];\nry(1.3914) q[4];\nry(0.4916) q[5];\nry(1.3865) q[6];\nry(-0.0017) q[7];\nry(-0.0016) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(1.0348) q[0];\nry(-0.005) q[1];\nry(1.0503) q[2];\nry(-0.0026) q[3];\nry(0.7019) q[4];\nry(0.0571) q[5];\nry(0.7033) q[6];\nry(-0.0023) q[7];\nry(-0.0029) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(1.047) q[0];\nry(0.0024) q[1];\nry(1.0302) q[2];\nry(-0.0025) q[3];\nry(1.1099) q[4];\nry(1.4075) q[5];\nry(1.1053) q[6];\nry(-0.0017) q[7];\nry(-0.0028) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x3) q[3];\nry(x21) q[4];\nry(x22) q[5];\nry(x23) q[6];\nry(x7) q[7];\nry(x24) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["86e86a0eab685a9f3df3146e6295601e","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 2, \"target\": 8}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}]}","{\"states\": [523, 779], \"expectation_value\": -5.685376225073018, \"params\": [0.9055000000000001, 0.902, 0.8532000000000001, 0.8611000000000001, -0.0005, -0.0035, 0.6880000000000001, 0.6906, -0.00030000000000000003, 0.0015, 0.06910000000000001, 0.062200000000000005, 0.9026000000000001, 0.9029, 0.0034000000000000002, 0.0023, 0.9018, 0.909, 0.8994000000000001, 0.9029, 0.8839, 0.8829, 0.0815, 0.8934000000000001, 0.0059, 0.7886000000000001, 0.7699, 0.0035, -0.022000000000000002, 0.5334, 0.8274, 0.0082, -0.7096, 0.1292, 0.007200000000000001, 0.5964, -0.6314000000000001, -0.0032, 0.8811, 0.18130000000000002], \"bitstrings\": [\"0111110100\", \"0011110100\"], \"total_optimization_steps\": 90, \"probabilities\": [0.0613793587225687, 0.07810923641874494], \"optimization_time\": 6.903245687484741}","0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * Z(5) + 0.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -2.0 * Z(7) + -2.0 * Z(2) + -1.0 * Z(6) + -0.5 * Z(8) + -0.5 * Z(9)",14,10,1,"{\"smallest_eigenvalues\": [-7.5, -7.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"0011110100\", \"0110110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.9055) q[0];\nry(0.8532) q[1];\nry(-0.0005) q[2];\nry(0.688) q[3];\nry(-0.0003) q[4];\nry(0.0691) q[5];\nry(0.9026) q[6];\nry(0.0034) q[7];\nry(0.9018) q[8];\nry(0.8994) q[9];\ncrx(0.8839) q[9], q[0];\ncrx(0.8811) q[8], q[9];\ncrx(-0.6314) q[7], q[8];\ncrx(0.0072) q[6], q[7];\ncrx(-0.7096) q[5], q[6];\ncrx(0.8274) q[4], q[5];\ncrx(-0.022) q[3], q[4];\ncrx(0.7699) q[2], q[3];\ncrx(0.0059) q[1], q[2];\ncrx(0.0815) q[0], q[1];\nry(0.902) q[0];\nry(0.8611) q[1];\nry(-0.0035) q[2];\nry(0.6906) q[3];\nry(0.0015) q[4];\nry(0.0622) q[5];\nry(0.9029) q[6];\nry(0.0023) q[7];\nry(0.909) q[8];\nry(0.9029) q[9];\ncrx(0.8829) q[9], q[8];\ncrx(0.8934) q[0], q[9];\ncrx(0.7886) q[0], q[1];\ncrx(0.0035) q[1], q[2];\ncrx(0.5334) q[2], q[3];\ncrx(0.0082) q[3], q[4];\ncrx(0.1292) q[4], q[5];\ncrx(0.5964) q[5], q[6];\ncrx(-0.0032) q[6], q[7];\ncrx(0.1813) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncrx(x10) q[9], q[0];\ncrx(x11) q[8], q[9];\ncrx(x12) q[7], q[8];\ncrx(x13) q[6], q[7];\ncrx(x14) q[5], q[6];\ncrx(x15) q[4], q[5];\ncrx(x16) q[3], q[4];\ncrx(x17) q[2], q[3];\ncrx(x18) q[1], q[2];\ncrx(x19) q[0], q[1];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x26) q[9];\ncrx(x29) q[9], q[8];\ncrx(x30) q[0], q[9];\ncrx(x31) q[0], q[1];\ncrx(x32) q[1], q[2];\ncrx(x33) q[2], q[3];\ncrx(x34) q[3], q[4];\ncrx(x35) q[4], q[5];\ncrx(x36) q[5], q[6];\ncrx(x37) q[6], q[7];\ncrx(x38) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["-3343513513829259390","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[1, 3, 4, 5, 7, 8, 9, 10], [0, 1, 2, 4, 5, 7, 8, 9, 10], [0, 2, 5, 7, 8, 9, 11], [0, 2, 3, 4, 5, 6, 7, 8, 11], [1, 3, 5, 6, 7, 8, 9, 10, 11], [2, 3, 4, 5, 8, 9, 10, 11], [1, 3, 4, 5, 6, 7, 8, 11], [2, 4, 5, 6, 9, 11], [1, 2, 3, 4, 9, 10, 11], [1, 2, 3, 4, 5, 6, 9], [0, 4, 6, 8, 10, 11], [0, 9, 11, 4], [0, 1, 2, 6, 7, 8, 10, 11], [1, 2, 3, 4, 6, 8, 10], [2, 4, 6, 7, 8, 10], [0, 5, 7, 8, 10, 11], [2, 3, 6, 7, 9, 10, 11], [1, 2, 4, 5, 7, 9, 10, 11], [1, 2, 4, 5, 7, 8, 11], [0, 2, 3, 4, 5, 6, 8, 9, 10], [0, 1, 2, 5, 6, 7, 9, 10, 11], [0, 1, 3, 7, 8, 9, 10, 11], [1, 2, 4, 5, 8, 9, 11]]}","{\"states\": [3027, 4051], \"expectation_value\": -4.0413434728583395, \"params\": [1.582, 1.5551000000000001, 0.8164, 0.8245, 1.5682, 1.5687, 1.5682, 1.5672000000000001, 1.5697, 1.5674000000000001, 1.5812000000000002, 1.5669000000000002, 0.0347, 0.034, 1.5333, 1.3864, 0.0212, 0.0233, 0.0026000000000000003, 0.0032, 1.5484, 1.5982, 1.5798, 1.5555, 0.0026000000000000003, 0.0054, -0.003, 0.0078000000000000005, -0.1371, 0.0073, -0.0027, 0.007, 0.003, 0.0056, -0.0035, 0.0058000000000000005, 0.003, 0.0031000000000000003, 1.1633, 0.005200000000000001, 0.2252, 0.0054, -1.1253, 0.0027, 1.058, 0.005200000000000001, -0.0024000000000000002, 0.0029000000000000002], \"bitstrings\": [\"010000101100\", \"000000101100\"], \"total_optimization_steps\": 230, \"probabilities\": [0.4576316257390601, 0.5247008810313881], \"optimization_time\": 56.565821170806885}","0.13888888888888887 * (Z(1) @ Z(3)) + 0.1527777777777778 * (Z(4) @ Z(3)) + 0.18650793650793648 * (Z(4) @ Z(1)) + 0.11904761904761904 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.21785714285714283 * (Z(5) @ Z(4)) + 0.10515873015873015 * (Z(7) @ Z(3)) + 0.15476190476190474 * (Z(7) @ Z(1)) + 0.13849206349206347 * (Z(7) @ Z(4)) + 0.19007936507936507 * (Z(7) @ Z(5)) + 0.1369047619047619 * (Z(8) @ Z(3)) + 0.1706349206349206 * (Z(8) @ Z(1)) + 0.2333333333333333 * (Z(8) @ Z(4)) + 0.21388888888888888 * (Z(8) @ Z(5)) + 0.22738095238095235 * (Z(8) @ Z(7)) + 0.15277777777777776 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.2694444444444444 * (Z(9) @ Z(4)) + 0.21388888888888888 * (Z(9) @ Z(5)) + 0.14285714285714285 * (Z(9) @ Z(7)) + 0.14285714285714285 * (Z(9) @ Z(8)) + 0.15277777777777776 * (Z(10) @ Z(3)) + 0.1607142857142857 * (Z(10) @ Z(1)) + 0.1956349206349206 * (Z(10) @ Z(4)) + 0.14246031746031745 * (Z(10) @ Z(5)) + 0.20357142857142854 * (Z(10) @ Z(7)) + 0.23690476190476187 * (Z(10) @ Z(8)) + 0.1746031746031746 * (Z(10) @ Z(9)) + 0.04563492063492063 * (Z(0) @ Z(3)) + 0.06349206349206349 * (Z(0) @ Z(1)) + 0.15833333333333333 * (Z(0) @ Z(4)) + 0.11269841269841271 * (Z(0) @ Z(5)) + 0.13452380952380952 * (Z(0) @ Z(7)) + 0.16785714285714284 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.14404761904761904 * (Z(0) @ Z(10)) + 0.14087301587301587 * (Z(2) @ Z(3)) + 0.18253968253968253 * (Z(2) @ Z(1)) + 0.26309523809523805 * (Z(2) @ Z(4)) + 0.21984126984126984 * (Z(2) @ Z(5)) + 0.18214285714285713 * (Z(2) @ Z(7)) + 0.20595238095238094 * (Z(2) @ Z(8)) + 0.22976190476190475 * (Z(2) @ Z(9)) + 0.19999999999999998 * (Z(2) @ Z(10)) + 0.09722222222222224 * (Z(2) @ Z(0)) + 0.12896825396825395 * (Z(11) @ Z(3)) + 0.1706349206349206 * (Z(11) @ Z(1)) + 0.28888888888888886 * (Z(11) @ Z(4)) + 0.2333333333333333 * (Z(11) @ Z(5)) + 0.21785714285714283 * (Z(11) @ Z(7)) + 0.23730158730158726 * (Z(11) @ Z(8)) + 0.2932539682539682 * (Z(11) @ Z(9)) + 0.21349206349206346 * (Z(11) @ Z(10)) + 0.2373015873015873 * (Z(11) @ Z(0)) + 0.2337301587301587 * (Z(11) @ Z(2)) + 0.13095238095238096 * (Z(6) @ Z(3)) + 0.1111111111111111 * (Z(6) @ Z(1)) + 0.19325396825396823 * (Z(6) @ Z(4)) + 0.13055555555555556 * (Z(6) @ Z(5)) + 0.13452380952380952 * (Z(6) @ Z(7)) + 0.16785714285714284 * (Z(6) @ Z(8)) + 0.12261904761904763 * (Z(6) @ Z(9)) + 0.1738095238095238 * (Z(6) @ Z(10)) + 0.09285714285714286 * (Z(6) @ Z(0)) + 0.1976190476190476 * (Z(6) @ Z(2)) + 0.16785714285714284 * (Z(6) @ Z(11)) + 0.7023809523809523 * Z(3) + 0.836309523809524 * Z(1) + 1.1488095238095237 * Z(4) + 0.9801587301587303 * Z(5) + 0.9156746031746029 * Z(7) + 1.070436507936508 * Z(8) + 1.0376984126984128 * Z(9) + 0.9990079365079362 * Z(10) + 0.7103174603174601 * Z(0) + 1.0763888888888893 * Z(2) + 1.211309523809523 * Z(11) + 0.8115079365079365 * Z(6)",13,12,1,"{\"smallest_eigenvalues\": [-4.105952380952379], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.054761904761903, \"smallest_bitstrings\": [\"000000101100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(1.582) q[0];\nry(0.8164) q[1];\nry(1.5682) q[2];\nry(1.5682) q[3];\nry(1.5697) q[4];\nry(1.5812) q[5];\nry(0.0347) q[6];\nry(1.5333) q[7];\nry(0.0212) q[8];\nry(0.0026) q[9];\nry(1.5484) q[10];\nry(1.5798) q[11];\ncrz(0.0026) q[11], q[0];\ncrz(-0.0024) q[10], q[11];\ncrz(1.058) q[9], q[10];\ncrz(-1.1253) q[8], q[9];\ncrz(0.2252) q[7], q[8];\ncrz(1.1633) q[6], q[7];\ncrz(0.003) q[5], q[6];\ncrz(-0.0035) q[4], q[5];\ncrz(0.003) q[3], q[4];\ncrz(-0.0027) q[2], q[3];\ncrz(-0.1371) q[1], q[2];\ncrz(-0.003) q[0], q[1];\nry(1.5551) q[0];\nry(0.8245) q[1];\nry(1.5687) q[2];\nry(1.5672) q[3];\nry(1.5674) q[4];\nry(1.5669) q[5];\nry(0.034) q[6];\nry(1.3864) q[7];\nry(0.0233) q[8];\nry(0.0032) q[9];\nry(1.5982) q[10];\nry(1.5555) q[11];\ncrz(0.0054) q[11], q[10];\ncrz(0.0078) q[0], q[11];\ncrz(0.0073) q[0], q[1];\ncrz(0.007) q[1], q[2];\ncrz(0.0056) q[2], q[3];\ncrz(0.0058) q[3], q[4];\ncrz(0.0031) q[4], q[5];\ncrz(0.0052) q[5], q[6];\ncrz(0.0054) q[6], q[7];\ncrz(0.0027) q[7], q[8];\ncrz(0.0052) q[8], q[9];\ncrz(0.0029) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x2) q[3];\nry(x3) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x6) q[7];\nry(x7) q[8];\nry(x8) q[9];\nry(x9) q[10];\nry(x10) q[11];\ncrz(x8) q[11], q[0];\ncrz(x11) q[10], q[11];\ncrz(x12) q[9], q[10];\ncrz(x13) q[8], q[9];\ncrz(x14) q[7], q[8];\ncrz(x15) q[6], q[7];\ncrz(x16) q[5], q[6];\ncrz(x17) q[4], q[5];\ncrz(x16) q[3], q[4];\ncrz(x18) q[2], q[3];\ncrz(x19) q[1], q[2];\ncrz(x20) q[0], q[1];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x26) q[5];\nry(x27) q[6];\nry(x28) q[7];\nry(x29) q[8];\nry(x30) q[9];\nry(x31) q[10];\nry(x32) q[11];\ncrz(x33) q[11], q[10];\ncrz(x34) q[0], q[11];\ncrz(x35) q[0], q[1];\ncrz(x36) q[1], q[2];\ncrz(x37) q[2], q[3];\ncrz(x38) q[3], q[4];\ncrz(x39) q[4], q[5];\ncrz(x40) q[5], q[6];\ncrz(x33) q[6], q[7];\ncrz(x41) q[7], q[8];\ncrz(x40) q[8], q[9];\ncrz(x42) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["e72ecea678989eec924d7e1b79176beb","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 0, \"target\": 7}, {\"capacity\": 4, \"source\": 0, \"target\": 9}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 7}, {\"capacity\": 3, \"source\": 1, \"target\": 9}, {\"capacity\": 5, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 8}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 9}, {\"capacity\": 4, \"source\": 5, \"target\": 2}, {\"capacity\": 5, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 3, \"source\": 6, \"target\": 7}, {\"capacity\": 2, \"source\": 6, \"target\": 8}, {\"capacity\": 2, \"source\": 6, \"target\": 9}, {\"capacity\": 1, \"source\": 7, \"target\": 5}, {\"capacity\": 5, \"source\": 7, \"target\": 8}, {\"capacity\": 5, \"source\": 7, \"target\": 9}, {\"capacity\": 3, \"source\": 8, \"target\": 3}, {\"capacity\": 4, \"source\": 8, \"target\": 4}, {\"capacity\": 2, \"source\": 8, \"target\": 5}, {\"capacity\": 3, \"source\": 8, \"target\": 9}]}","{\"states\": [70, 511], \"expectation_value\": -0.09777044393303055, \"params\": [[0.0057, 0.2005, 0.0049, 0.009000000000000001, 0.0021000000000000003, 0.0038, 0.0064, 0.007200000000000001, 0.198, 0.0098], [0.0033, 0.2, -0.0018000000000000002, 0.0098, 0.0067, 0.0025, 0.002, 0.002, 0.1978, 0.0082]], \"bitstrings\": [\"1110111001\", \"1000000000\"], \"total_optimization_steps\": 20, \"probabilities\": [0.0010554860496891196, 0.0010554889918213896], \"optimization_time\": 11.461105346679688}","-0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(4)) + -0.5 * (Z(9) @ Z(6)) + -1.25 * (Z(9) @ Z(7)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.5 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(6)) + -1.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(9)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + 1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(3) + -2.5 * Z(4) + 0.75 * Z(6) + 0.5 * Z(7) + 0.0 * Z(9) + -1.25 * Z(2) + 0.5 * Z(8) + 1.0 * Z(5)",9,10,2,"{\"smallest_eigenvalues\": [-19.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -18.75, \"smallest_bitstrings\": [\"1000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0057) q[0];\nrx(0.2005) q[1];\nrx(0.0049) q[2];\nrx(0.009) q[3];\nrx(0.0021) q[4];\nrx(0.0038) q[5];\nrx(0.0064) q[6];\nrx(0.0072) q[7];\nrx(0.198) q[8];\nrx(0.0098) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0033) q[0];\nrx(0.2) q[1];\nrx(-0.0018) q[2];\nrx(0.0098) q[3];\nrx(0.0067) q[4];\nrx(0.0025) q[5];\nrx(0.002) q[6];\nrx(0.002) q[7];\nrx(0.1978) q[8];\nrx(0.0082) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nrx(x6) q[6];\nrx(x7) q[7];\nrx(x8) q[8];\nrx(x9) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x10) q[0];\nrx(x11) q[1];\nrx(x12) q[2];\nrx(x9) q[3];\nrx(x13) q[4];\nrx(x14) q[5];\nrx(x15) q[6];\nrx(x15) q[7];\nrx(x16) q[8];\nrx(x17) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["-4697285327909507156","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 2], [6, 7], [8, 2, 4, 7], [0, 1, 3, 4, 5, 6, 8], [0, 1, 7], [1, 2, 3, 5, 7], [2, 4, 5, 6]]}","{\"states\": [123, 315], \"expectation_value\": -2.090903418948817, \"params\": null, \"bitstrings\": [\"110000100\", \"011000100\"], \"total_optimization_steps\": 57, \"probabilities\": [0.05244401617971284, 0.8997115465562459], \"optimization_time\": 164.3879325389862}","0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.023809523809523808 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.023809523809523808 * (Z(8) @ Z(0)) + 0.023809523809523808 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(7)) + 0.10714285714285714 * (Z(4) @ Z(8)) + 0.05 * (Z(1) @ Z(2)) + 0.19047619047619047 * (Z(1) @ Z(0)) + 0.023809523809523808 * (Z(1) @ Z(6)) + 0.21666666666666667 * (Z(1) @ Z(7)) + 0.023809523809523808 * (Z(1) @ Z(8)) + 0.023809523809523808 * (Z(1) @ Z(4)) + 0.05 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.023809523809523808 * (Z(3) @ Z(6)) + 0.05 * (Z(3) @ Z(7)) + 0.023809523809523808 * (Z(3) @ Z(8)) + 0.023809523809523808 * (Z(3) @ Z(4)) + 0.07380952380952381 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.10714285714285714 * (Z(5) @ Z(6)) + 0.05 * (Z(5) @ Z(7)) + 0.023809523809523808 * (Z(5) @ Z(8)) + 0.10714285714285714 * (Z(5) @ Z(4)) + 0.07380952380952381 * (Z(5) @ Z(1)) + 0.07380952380952381 * (Z(5) @ Z(3)) + 0.35 * Z(2) + 0.23809523809523825 * Z(0) + 0.1964285714285714 * Z(6) + 0.39166666666666705 * Z(7) + 0.19642857142857148 * Z(8) + 0.3214285714285714 * Z(4) + 0.338095238095238 * Z(1) + 0.17142857142857143 * Z(3) + 0.29642857142857143 * Z(5)",1,9,1,"{\"smallest_eigenvalues\": [-2.140476190476191], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.0333333333333337, \"smallest_bitstrings\": [\"011000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.3266) q[7];\ncry(-1.1578) q[7], q[6];\nry(1.2502) q[5];\nry(0.9927) q[4];\ncry(-0.9915) q[0], q[2];\nry(0.7926) q[0];\ncry(-0.5426) q[4], q[2];\ncry(0.4873) q[4], q[0];\nry(-0.3635) q[6];\ncry(0.4422) q[7], q[4];\nry(-0.3694) q[2];\ncry(0.1903) q[4], q[7];\ncry(0.223) q[7], q[0];\ncry(0.27) q[7], q[5];\ncry(-0.4165) q[0], q[1];\nry(0.4753) q[3];\ncry(-0.4261) q[7], q[1];\ncry(0.4675) q[5], q[3];\ncry(-0.3367) q[3], q[1];\ncry(0.2936) q[7], q[3];\ncry(-0.1376) q[7], q[2];\ncry(0.3046) q[0], q[8];\ncry(-0.2047) q[4], q[1];\nry(0.2743) q[8];\ncry(0.2322) q[5], q[8];\ncry(0.0762) q[5], q[0];\ncry(0.1827) q[7], q[8];\ncry(0.1453) q[4], q[3];\ncry(-0.0573) q[4], q[6];\ncry(-0.1101) q[5], q[1];\ncry(0.1423) q[3], q[8];\ncry(-0.0446) q[5], q[2];\ncry(0.0857) q[5], q[4];\ncry(0.1063) q[4], q[8];\ncry(0.0811) q[0], q[3];\ncry(-0.051) q[8], q[1];\ncry(0.0409) q[4], q[5];\ncry(0.0451) q[8], q[3];\ncry(0.0173) q[3], q[0];\ncry(-0.0129) q[8], q[2];\nry(-0.0221) q[1];\ncry(0.0209) q[3], q[4];\ncry(0.0116) q[5], q[7];\ncry(-0.004) q[3], q[6];\ncry(-0.0005) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":56889,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.3266) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.3266) q[7];\\ncry(-1.1578) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.3266) q[7];\\ncry(-1.1578) q[7], q[6];\\nry(1.2502) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.3266) q[7];\\ncry(-1.1578) q[7], q[6];\\nry(1.2502) q[5];\\nry(0.9927) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.3266) q[7];\\ncry(-1.1578) q[7], q[6];\\nry(1.2502) q[5];\\nry(0.9927) q[4];\\ncry(-0.9915) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.3266) q[7];\\ncry(-1.1578) q[7], q[6];\\nry(1.2502) q[5];\\nry(0.9927) q[4];\\ncry(-0.9915) q[0], q[2];\\nry(0.7926) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.3266) q[7];\\ncry(-1.1578) q[7], q[6];\\nry(1.2502) q[5];\\nry(0.9927) q[4];\\ncry(-0.9915) q[0], q[2];\\nry(0.7926) q[0];\\ncry(-0.5426) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.3266) q[7];\\ncry(-1.1578) q[7], q[6];\\nry(1.2502) q[5];\\nry(0.9927) q[4];\\ncry(-0.9915) q[0], q[2];\\nry(0.7926) q[0];\\ncry(-0.5426) q[4], q[2];\\ncry(0.4873) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.3266) q[7];\\ncry(-1.1578) q[7], q[6];\\nry(1.2502) q[5];\\nry(0.9927) q[4];\\ncry(-0.9915) q[0], q[2];\\nry(0.7926) q[0];\\ncry(-0.5426) q[4], q[2];\\ncry(0.4873) q[4], q[0];\\nry(-0.3635) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measur"}}]
["5144181ac27497fdfa9bdb5b8b799630","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}]}","{\"states\": [1, 0], \"expectation_value\": -1.4960387657262855, \"params\": null, \"bitstrings\": [\"10\", \"11\"], \"total_optimization_steps\": 3, \"probabilities\": [0.003959394488014906, 0.9960387873231064], \"optimization_time\": 0.4699392318725586}","0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1)",1,2,4,"{\"smallest_eigenvalues\": [-1.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.5, \"smallest_bitstrings\": [\"11\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\nry(-1.5681) q[0];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[2] c;\\nqubit[2] q;\\nh q[0];\\nh q[1];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[2] c;\\nqubit[2] q;\\nh q[0];\\nh q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[2] c;\\nqubit[2] q;\\nh q[0];\\nh q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\n\"], \"gradients\": [1.0012, 0.5, 0.0005]}"]
["2782377586474911333","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[2, 4, 5, 6], [8, 2, 7], [5, 7], [0, 2], [1, 2, 4, 5], [8, 1], [1, 3, 5]]}","{\"states\": [242, 121], \"expectation_value\": -0.6363445347789755, \"params\": [[-0.27390000000000003], [0.27740000000000004]], \"bitstrings\": [\"100001101\", \"110000110\"], \"total_optimization_steps\": 30, \"probabilities\": [0.005167121556158127, 0.005181195287091654], \"optimization_time\": 5.476963520050049}","0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.24999999999999994 * Z(4) + 0.41666666666666663 * Z(2) + 0.41666666666666663 * Z(5) + 0.125 * Z(6) + 0.16666666666666663 * Z(8) + 0.16666666666666663 * Z(7) + 0.0 * Z(0) + 0.29166666666666663 * Z(1) + 0.16666666666666666 * Z(3)",1,9,1,"{\"smallest_eigenvalues\": [-2.666666666666666, -2.666666666666666], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.583333333333333, \"smallest_bitstrings\": [\"100001001\", \"110000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[2];\nrz(-0.0913) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(-0.0913) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(-0.0913) q[5];\ncx q[2], q[5];\ncx q[4], q[6];\nrz(-0.0457) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(-0.0457) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0457) q[6];\ncx q[5], q[6];\ncx q[2], q[8];\nrz(-0.0913) q[8];\ncx q[2], q[8];\ncx q[2], q[7];\nrz(-0.0913) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.2739) q[7];\ncx q[5], q[7];\ncx q[8], q[7];\nrz(-0.0913) q[7];\ncx q[8], q[7];\ncx q[2], q[0];\nrz(-0.2739) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(-0.0457) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(-0.0457) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(-0.137) q[1];\ncx q[5], q[1];\ncx q[8], q[1];\nrz(-0.2739) q[1];\ncx q[8], q[1];\ncx q[5], q[3];\nrz(-0.0913) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0913) q[3];\ncx q[1], q[3];\nrz(-0.1369) q[4];\nrz(-0.2283) q[2];\nrz(-0.2283) q[5];\nrz(-0.0685) q[6];\nrz(-0.0913) q[8];\nrz(-0.0913) q[7];\nrz(0) q[0];\nrz(-0.1598) q[1];\nrz(-0.0913) q[3];\nh q[0];\nrz(0.5548) q[0];\nh q[0];\nh q[1];\nrz(0.5548) q[1];\nh q[1];\nh q[2];\nrz(0.5548) q[2];\nh q[2];\nh q[3];\nrz(0.5548) q[3];\nh q[3];\nh q[4];\nrz(0.5548) q[4];\nh q[4];\nh q[5];\nrz(0.5548) q[5];\nh q[5];\nh q[6];\nrz(0.5548) q[6];\nh q[6];\nh q[7];\nrz(0.5548) q[7];\nh q[7];\nh q[8];\nrz(0.5548) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[2], q[0];\nrz(x2) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(x1) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x3) q[1];\ncx q[5], q[1];\ncx q[8], q[1];\nrz(x2) q[1];\ncx q[8], q[1];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\nrz(x4) q[4];\nrz(x5) q[2];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x0) q[8];\nrz(x0) q[7];\nrz(x7) q[0];\nrz(x8) q[1];\nrz(x0) q[3];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["1fec22243d8755f8fc709acb670af797","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 4}, {\"weight\": 19, \"source\": 0, \"target\": 5}, {\"weight\": 4, \"source\": 1, \"target\": 5}, {\"weight\": 9, \"source\": 2, \"target\": 6}, {\"weight\": 20, \"source\": 2, \"target\": 7}, {\"weight\": 15, \"source\": 2, \"target\": 9}, {\"weight\": 12, \"source\": 2, \"target\": 8}, {\"weight\": 5, \"source\": 3, \"target\": 7}, {\"weight\": 12, \"source\": 3, \"target\": 5}]}","{\"states\": [190, 158], \"expectation_value\": -75.99149795814714, \"params\": [0.0008, 0.467, 0.787, -0.1091, 0.12860000000000002, -0.3327, 0.3669, 0.21430000000000002, 0.7868, -0.0026000000000000003, 0.5117, 0.1774, 0.7839, -0.0053, 0.7943, 0.1618, 0.1653, 0.3496, 0.0054, 0.5019, 0.7893, -0.1427, 0.1296, -0.35250000000000004, 0.36760000000000004, 0.20500000000000002, 0.7863, 0.0002, 0.513, 0.1718, 0.7801, 0.0148, 0.786, 0.1623, 0.1643, 0.35150000000000003, 0.005200000000000001, 0.4656, 0.7866000000000001, -0.1552, 0.1293, -0.3496, 0.3738, 0.2064, 0.7857000000000001, -0.0119, 0.5149, 0.161, 0.7821, -0.016, 0.7893, 0.1443, 0.1613, 0.3482, 0.0008, 0.0066, 0.793, 0.0024000000000000002, 0.1313, 0.0076, 0.37070000000000003, 0.0099, 0.7897000000000001, 0.0092, 0.525, 0.0015, 0.7868, 0.004200000000000001, 0.7917000000000001, 0.0043, 0.166, 0.0057, -0.343, -0.3907, -0.2015, 0.3311, -0.1703, 0.0002, 0.0553, -0.0304, 0.32220000000000004, -0.3373, -0.0154, -0.3108, 0.3241, -0.0223, -0.0092, 0.09680000000000001, -0.0, 0.33740000000000003, -0.32230000000000003, 0.3584, -0.3221, 0.26330000000000003, 0.1242, -0.0049, 0.0829, 0.026600000000000002, 0.33240000000000003, 0.0031000000000000003, 0.0028, 0.0032, 0.0034000000000000002, 0.007, 0.0024000000000000002, 0.0033, 0.0078000000000000005, 0.0091], \"bitstrings\": [\"101000001\", \"101100001\"], \"total_optimization_steps\": 80, \"probabilities\": [0.26832369592002214, 0.3720529808860904], \"optimization_time\": 13.398557424545288}","5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(6)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(8)) + 15.0 * Z(1) + -4.5 * Z(0) + 2.0 * Z(2) + 10.0 * Z(3) + 13.0 * Z(6) + 21.0 * Z(4) + 11.5 * Z(5) + 2.5 * Z(8) + 11.5 * Z(7)",18,9,4,"{\"smallest_eigenvalues\": [-84.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -81.0, \"smallest_bitstrings\": [\"101100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0008) q[0];\nrz(0.467) q[0];\nrx(0.787) q[1];\nrz(-0.1091) q[1];\nrx(0.1286) q[2];\nrz(-0.3327) q[2];\nrx(0.3669) q[3];\nrz(0.2143) q[3];\nrx(0.7868) q[4];\nrz(-0.0026) q[4];\nrx(0.5117) q[5];\nrz(0.1774) q[5];\nrx(0.7839) q[6];\nrz(-0.0053) q[6];\nrx(0.7943) q[7];\nrz(0.1618) q[7];\nrx(0.1653) q[8];\nrz(0.3496) q[8];\ncrz(-0.343) q[8], q[0];\ncrz(0.3222) q[7], q[8];\ncrz(-0.0304) q[6], q[7];\ncrz(0.0553) q[5], q[6];\ncrz(0.0002) q[4], q[5];\ncrz(-0.1703) q[3], q[4];\ncrz(0.3311) q[2], q[3];\ncrz(-0.2015) q[1], q[2];\ncrz(-0.3907) q[0], q[1];\nrx(0.0054) q[0];\nrz(0.5019) q[0];\nrx(0.7893) q[1];\nrz(-0.1427) q[1];\nrx(0.1296) q[2];\nrz(-0.3525) q[2];\nrx(0.3676) q[3];\nrz(0.205) q[3];\nrx(0.7863) q[4];\nrz(0.0002) q[4];\nrx(0.513) q[5];\nrz(0.1718) q[5];\nrx(0.7801) q[6];\nrz(0.0148) q[6];\nrx(0.786) q[7];\nrz(0.1623) q[7];\nrx(0.1643) q[8];\nrz(0.3515) q[8];\ncrz(-0.3373) q[8], q[0];\ncrz(0.3374) q[7], q[8];\ncrz(0) q[6], q[7];\ncrz(0.0968) q[5], q[6];\ncrz(-0.0092) q[4], q[5];\ncrz(-0.0223) q[3], q[4];\ncrz(0.3241) q[2], q[3];\ncrz(-0.3108) q[1], q[2];\ncrz(-0.0154) q[0], q[1];\nrx(0.0052) q[0];\nrz(0.4656) q[0];\nrx(0.7866) q[1];\nrz(-0.1552) q[1];\nrx(0.1293) q[2];\nrz(-0.3496) q[2];\nrx(0.3738) q[3];\nrz(0.2064) q[3];\nrx(0.7857) q[4];\nrz(-0.0119) q[4];\nrx(0.5149) q[5];\nrz(0.161) q[5];\nrx(0.7821) q[6];\nrz(-0.016) q[6];\nrx(0.7893) q[7];\nrz(0.1443) q[7];\nrx(0.1613) q[8];\nrz(0.3482) q[8];\ncrz(-0.3223) q[8], q[0];\ncrz(0.3324) q[7], q[8];\ncrz(0.0266) q[6], q[7];\ncrz(0.0829) q[5], q[6];\ncrz(-0.0049) q[4], q[5];\ncrz(0.1242) q[3], q[4];\ncrz(0.2633) q[2], q[3];\ncrz(-0.3221) q[1], q[2];\ncrz(0.3584) q[0], q[1];\nrx(0.0008) q[0];\nrz(0.0066) q[0];\nrx(0.793) q[1];\nrz(0.0024) q[1];\nrx(0.1313) q[2];\nrz(0.0076) q[2];\nrx(0.3707) q[3];\nrz(0.0099) q[3];\nrx(0.7897) q[4];\nrz(0.0092) q[4];\nrx(0.525) q[5];\nrz(0.0015) q[5];\nrx(0.7868) q[6];\nrz(0.0042) q[6];\nrx(0.7917) q[7];\nrz(0.0043) q[7];\nrx(0.166) q[8];\nrz(0.0057) q[8];\ncrz(0.0031) q[8], q[0];\ncrz(0.0091) q[7], q[8];\ncrz(0.0078) q[6], q[7];\ncrz(0.0033) q[5], q[6];\ncrz(0.0024) q[4], q[5];\ncrz(0.007) q[3], q[4];\ncrz(0.0034) q[2], q[3];\ncrz(0.0032) q[1], q[2];\ncrz(0.0028) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x22) q[4];\nrx(x36) q[5];\nrz(x37) q[5];\nrx(x38) q[6];\nrz(x39) q[6];\nrx(x40) q[7];\nrz(x41) q[7];\nrx(x42) q[8];\nrz(x43) q[8];\ncrz(x44) q[8], q[0];\ncrz(x45) q[7], q[8];\ncrz(x46) q[6], q[7];\ncrz(x47) q[5], q[6];\ncrz(x48) q[4], q[5];\ncrz(x49) q[3], q[4];\ncrz(x50) q[2], q[3];\ncrz(x51) q[1], q[2];\ncrz(x52) q[0], q[1];\nrx(x53) q[0];\nrz(x54) q[0];\nrx(x55) q[1];\nrz(x56) q[1];\nrx(x57) q[2];\nrz(x58) q[2];\nrx(x59) q[3];\nrz(x60) q[3];\nrx(x61) q[4];\nrz(x62) q[4];\nrx(x63) q[5];\nrz(x64) q[5];\nrx(x65) q[6];\nrz(x66) q[6];\nrx(x29) q[7];\nrz(x67) q[7];\nrx(x68) q[8];\nrz(x69) q[8];\ncrz(x70) q[8], q[0];\ncrz(x71) q[7], q[8];\ncrz(x72) q[6], q[7];\ncrz(x73) q[5], q[6];\ncrz(x74) q[4], q[5];\ncrz(x75) q[3], q[4];\ncrz(x76) q[2], q[3];\ncrz(x77) q[1], q[2];\ncrz(x78) q[0], q[1];\nrx(x0) q[0];\nrz(x79) q[0];\nrx(x80) q[1];\nrz(x81) q[1];\nrx(x82) q[2];\nrz(x83) q[2];\nrx(x84) q[3];\nrz(x85) q[3];\nrx(x86) q[4];\nrz(x87) q[4];\nrx(x88) q[5];\nrz(x89) q[5];\nrx(x8) q[6];\nrz(x90) q[6];\nrx(x91) q[7];\nrz(x92) q[7];\nrx(x93) q[8];\nrz(x94) q[8];\ncrz(x95) q[8], q[0];\ncrz(x96) q[7], q[8];\ncrz(x97) q[6], q[7];\ncrz(x98) q[5], q[6];\ncrz(x81) q[4], q[5];\ncrz(x99) q[3], q[4];\ncrz(x100) q[2], q[3];\ncrz(x101) q[1], q[2];\ncrz(x102) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8, 9]}\"}","{\"circuits\": [], \"gradients\": []}"]
["6930813728214232413","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 1, 3, 4], [3, 5], [0, 5, 6], [2, 3, 4, 6], [2, 5]]}","{\"states\": [89, 121], \"expectation_value\": -1.6505038952838886, \"params\": null, \"bitstrings\": [\"0100110\", \"0000110\"], \"total_optimization_steps\": 48, \"probabilities\": [0.08656313715086007, 0.7855522674666422], \"optimization_time\": 53.75032114982605}","0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.125 * Z(1) + 0.29166666666666663 * Z(0) + 0.25 * Z(3) + 0.24999999999999994 * Z(4) + 0.16666666666666674 * Z(5) + 0.29166666666666674 * Z(6) + 0.125 * Z(2)",1,7,1,"{\"smallest_eigenvalues\": [-1.8333333333333335], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.75, \"smallest_bitstrings\": [\"0000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.1408) q[6];\ncry(-1.0127) q[3], q[5];\nry(0.9792) q[3];\ncry(-0.8129) q[2], q[5];\ncry(1.1143) q[3], q[2];\nry(-0.3249) q[5];\ncry(0.4124) q[2], q[3];\nry(0.8754) q[0];\nry(0.2752) q[2];\ncry(-0.1613) q[6], q[5];\ncry(0.4379) q[2], q[0];\ncry(-0.6335) q[3], q[4];\ncry(-0.4202) q[2], q[4];\ncry(0.2595) q[0], q[6];\ncry(0.1957) q[6], q[0];\ncry(0.104) q[6], q[2];\ncry(-0.1859) q[0], q[4];\ncry(0.0852) q[6], q[3];\ncry(-0.05) q[0], q[5];\nry(0.2337) q[1];\ncry(0.2193) q[6], q[1];\ncry(-0.1507) q[1], q[4];\ncry(0.2026) q[0], q[1];\ncry(0.1501) q[2], q[1];\ncry(0.1058) q[3], q[6];\ncry(-0.0826) q[6], q[4];\ncry(0.1203) q[3], q[1];\ncry(-0.1133) q[5], q[2];\ncry(-0.0921) q[5], q[3];\ncry(0.0396) q[1], q[5];\ncry(0.068) q[4], q[5];\ncry(0.0647) q[5], q[4];\ncry(0.041) q[1], q[6];\ncry(0.0369) q[3], q[0];\ncry(0.046) q[5], q[1];\ncry(0.0197) q[0], q[2];\nry(-0.0293) q[4];\ncry(-0.0266) q[4], q[2];\ncry(-0.0257) q[4], q[3];\ncry(0.0156) q[2], q[6];\ncry(0.0137) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":41009,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\ncry(-1.0127) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\ncry(-1.0127) q[3], q[5];\\nry(0.9792) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\ncry(-1.0127) q[3], q[5];\\nry(0.9792) q[3];\\ncry(-0.8129) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\ncry(-1.0127) q[3], q[5];\\nry(0.9792) q[3];\\ncry(-0.8129) q[2], q[5];\\ncry(1.1143) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\ncry(-1.0127) q[3], q[5];\\nry(0.9792) q[3];\\ncry(-0.8129) q[2], q[5];\\ncry(1.1143) q[3], q[2];\\nry(-0.3249) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\ncry(-1.0127) q[3], q[5];\\nry(0.9792) q[3];\\ncry(-0.8129) q[2], q[5];\\ncry(1.1143) q[3], q[2];\\nry(-0.3249) q[5];\\ncry(0.4124) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\ncry(-1.0127) q[3], q[5];\\nry(0.9792) q[3];\\ncry(-0.8129) q[2], q[5];\\ncry(1.1143) q[3], q[2];\\nry(-0.3249) q[5];\\ncry(0.4124) q[2], q[3];\\nry(0.8754) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\ncry(-1.0127) q[3], q[5];\\nry(0.9792) q[3];\\ncry(-0.8129) q[2], q[5];\\ncry(1.1143) q[3], q[2];\\nry(-0.3249) q[5];\\ncry(0.4124) q[2], q[3];\\nry(0.8754) q[0];\\nry(0.2752) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.1408) q[6];\\ncry(-1.0127) q[3], q[5];\\nry(0.9792) q[3];\\ncry(-0.8129) q[2], q[5];\\ncry(1.1143) q[3], q[2];\\nry(-0.3249) q[5];\\ncry(0.4124) q[2], q[3];\\nry(0.8754) q[0];\\nry(0.2752) q[2];\\ncry(-0.1613) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3"}}]
["0850e29522f021e32579dc334d85e860","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 1}, {\"capacity\": 6, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 10}, {\"capacity\": 5, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 9}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 4, \"target\": 7}, {\"capacity\": 3, \"source\": 4, \"target\": 8}, {\"capacity\": 4, \"source\": 4, \"target\": 9}, {\"capacity\": 6, \"source\": 4, \"target\": 10}, {\"capacity\": 6, \"source\": 6, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 4, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 7}, {\"capacity\": 6, \"source\": 6, \"target\": 11}, {\"capacity\": 1, \"source\": 7, \"target\": 1}, {\"capacity\": 6, \"source\": 7, \"target\": 9}, {\"capacity\": 4, \"source\": 8, \"target\": 6}, {\"capacity\": 5, \"source\": 8, \"target\": 7}, {\"capacity\": 5, \"source\": 8, \"target\": 10}, {\"capacity\": 1, \"source\": 8, \"target\": 11}, {\"capacity\": 1, \"source\": 9, \"target\": 2}, {\"capacity\": 2, \"source\": 9, \"target\": 8}]}","{\"states\": [0, 264], \"expectation_value\": -24.296441579075356, \"params\": [0.0025, 0.43470000000000003, 0.001, 0.0067, 0.0023, 1.8532000000000002, 0.002, 0.0059, 0.0023, 1.8806, 0.0021000000000000003, 0.0055000000000000005, -1.0579, 0.044000000000000004, 1.0195, 0.0002, 0.0024000000000000002, 1.6900000000000002, 0.0026000000000000003, 0.0025, 0.0024000000000000002, 1.6129, 0.0022, 0.0048000000000000004, 0.0022, 1.7703, 0.0026000000000000003, 0.0011, 0.003, 1.8826, 0.0044, 0.0053, -0.9706, 0.0322, -0.1516, 0.0045000000000000005, -0.006, 1.7521, -0.0013000000000000002, 0.0016, 0.0159, 0.217, -0.007200000000000001, 0.007, -0.0039000000000000003, 1.0449, 0.0006000000000000001, 0.0004, 0.0019, 0.002, 0.0021000000000000003, 2.1573, -0.0028, -0.0023, -0.0029000000000000002, -0.0043, 2.2191, -0.0025, 0.0213, 0.0029000000000000002], \"bitstrings\": [\"111111111111\", \"111011110111\"], \"total_optimization_steps\": 260, \"probabilities\": [0.41920150655381483, 0.44258750539413555], \"optimization_time\": 91.52099967002869}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(6)) + -0.25 * (Z(11) @ Z(4)) + -1.0 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(6)) + -0.25 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(6)) + -1.5 * (Z(9) @ Z(11)) + -0.75 * (Z(10) @ Z(6)) + -1.25 * (Z(10) @ Z(2)) + -0.5 * (Z(10) @ Z(11)) + -1.25 * (Z(10) @ Z(9)) + -1.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z(10)) + 1.75 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -1.5 * (Z(3) @ Z(8)) + 3.5 * Z(1) + -0.25 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + 2.5 * Z(6) + -2.5 * Z(7) + -3.5 * Z(2) + -2.75 * Z(11) + -1.0 * Z(9) + 2.5 * Z(10) + 4.0 * Z(8) + 0.0 * Z(3)",6,12,1,"{\"smallest_eigenvalues\": [-25.5, -25.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -24.5, \"smallest_bitstrings\": [\"111011110101\", \"111011110111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.0025) q[0];\nrz(0.4347) q[0];\nrx(0.0023) q[1];\nrz(1.8532) q[1];\nrx(0.0023) q[2];\nrz(1.8806) q[2];\nrx(-1.0579) q[3];\nrz(0.044) q[3];\nrx(0.0024) q[4];\nrz(1.69) q[4];\nrx(0.0024) q[5];\nrz(1.6129) q[5];\nrx(0.0022) q[6];\nrz(1.7703) q[6];\nrx(0.003) q[7];\nrz(1.8826) q[7];\nrx(-0.9706) q[8];\nrz(0.0322) q[8];\nrx(-0.006) q[9];\nrz(1.7521) q[9];\nrx(0.0159) q[10];\nrz(0.217) q[10];\nrx(-0.0039) q[11];\nrz(1.0449) q[11];\ncrx(0.0213) q[11], q[10];\ncrx(-0.0025) q[11], q[9];\ncrx(2.2191) q[11], q[8];\ncrx(-0.0043) q[11], q[7];\ncrx(-0.0029) q[11], q[6];\ncrx(-0.0023) q[11], q[5];\ncrx(-0.0028) q[11], q[4];\ncrx(2.1573) q[11], q[3];\ncrx(0.0021) q[11], q[2];\ncrx(0.002) q[11], q[1];\ncrx(0.0019) q[11], q[0];\ncrx(0.0029) q[10], q[11];\ncrx(-0.0025) q[10], q[9];\ncrx(2.2191) q[10], q[8];\ncrx(-0.0043) q[10], q[7];\ncrx(-0.0029) q[10], q[6];\ncrx(-0.0023) q[10], q[5];\ncrx(-0.0028) q[10], q[4];\ncrx(2.1573) q[10], q[3];\ncrx(0.0021) q[10], q[2];\ncrx(0.002) q[10], q[1];\ncrx(0.0019) q[10], q[0];\ncrx(0.0029) q[9], q[11];\ncrx(0.0213) q[9], q[10];\ncrx(2.2191) q[9], q[8];\ncrx(-0.0043) q[9], q[7];\ncrx(-0.0029) q[9], q[6];\ncrx(-0.0023) q[9], q[5];\ncrx(-0.0028) q[9], q[4];\ncrx(2.1573) q[9], q[3];\ncrx(0.0021) q[9], q[2];\ncrx(0.002) q[9], q[1];\ncrx(0.0019) q[9], q[0];\ncrx(0.0029) q[8], q[11];\ncrx(0.0213) q[8], q[10];\ncrx(-0.0025) q[8], q[9];\ncrx(-0.0043) q[8], q[7];\ncrx(-0.0029) q[8], q[6];\ncrx(-0.0023) q[8], q[5];\ncrx(-0.0028) q[8], q[4];\ncrx(2.1573) q[8], q[3];\ncrx(0.0021) q[8], q[2];\ncrx(0.002) q[8], q[1];\ncrx(0.0019) q[8], q[0];\ncrx(0.0029) q[7], q[11];\ncrx(0.0213) q[7], q[10];\ncrx(-0.0025) q[7], q[9];\ncrx(2.2191) q[7], q[8];\ncrx(-0.0029) q[7], q[6];\ncrx(-0.0023) q[7], q[5];\ncrx(-0.0028) q[7], q[4];\ncrx(2.1573) q[7], q[3];\ncrx(0.0021) q[7], q[2];\ncrx(0.002) q[7], q[1];\ncrx(0.0019) q[7], q[0];\ncrx(0.0029) q[6], q[11];\ncrx(0.0213) q[6], q[10];\ncrx(-0.0025) q[6], q[9];\ncrx(2.2191) q[6], q[8];\ncrx(-0.0043) q[6], q[7];\ncrx(-0.0023) q[6], q[5];\ncrx(-0.0028) q[6], q[4];\ncrx(2.1573) q[6], q[3];\ncrx(0.0021) q[6], q[2];\ncrx(0.002) q[6], q[1];\ncrx(0.0019) q[6], q[0];\ncrx(0.0029) q[5], q[11];\ncrx(0.0213) q[5], q[10];\ncrx(-0.0025) q[5], q[9];\ncrx(2.2191) q[5], q[8];\ncrx(-0.0043) q[5], q[7];\ncrx(-0.0029) q[5], q[6];\ncrx(-0.0028) q[5], q[4];\ncrx(2.1573) q[5], q[3];\ncrx(0.0021) q[5], q[2];\ncrx(0.002) q[5], q[1];\ncrx(0.0019) q[5], q[0];\ncrx(0.0029) q[4], q[11];\ncrx(0.0213) q[4], q[10];\ncrx(-0.0025) q[4], q[9];\ncrx(2.2191) q[4], q[8];\ncrx(-0.0043) q[4], q[7];\ncrx(-0.0029) q[4], q[6];\ncrx(-0.0023) q[4], q[5];\ncrx(2.1573) q[4], q[3];\ncrx(0.0021) q[4], q[2];\ncrx(0.002) q[4], q[1];\ncrx(0.0019) q[4], q[0];\ncrx(0.0029) q[3], q[11];\ncrx(0.0213) q[3], q[10];\ncrx(-0.0025) q[3], q[9];\ncrx(2.2191) q[3], q[8];\ncrx(-0.0043) q[3], q[7];\ncrx(-0.0029) q[3], q[6];\ncrx(-0.0023) q[3], q[5];\ncrx(-0.0028) q[3], q[4];\ncrx(0.0021) q[3], q[2];\ncrx(0.002) q[3], q[1];\ncrx(0.0019) q[3], q[0];\ncrx(0.0029) q[2], q[11];\ncrx(0.0213) q[2], q[10];\ncrx(-0.0025) q[2], q[9];\ncrx(2.2191) q[2], q[8];\ncrx(-0.0043) q[2], q[7];\ncrx(-0.0029) q[2], q[6];\ncrx(-0.0023) q[2], q[5];\ncrx(-0.0028) q[2], q[4];\ncrx(2.1573) q[2], q[3];\ncrx(0.002) q[2], q[1];\ncrx(0.0019) q[2], q[0];\ncrx(0.0029) q[1], q[11];\ncrx(0.0213) q[1], q[10];\ncrx(-0.0025) q[1], q[9];\ncrx(2.2191) q[1], q[8];\ncrx(-0.0043) q[1], q[7];\ncrx(-0.0029) q[1], q[6];\ncrx(-0.0023) q[1], q[5];\ncrx(-0.0028) q[1], q[4];\ncrx(2.1573) q[1], q[3];\ncrx(0.0021) q[1], q[2];\ncrx(0.0019) q[1], q[0];\ncrx(0.0029) q[0], q[11];\ncrx(0.0213) q[0], q[10];\ncrx(-0.0025) q[0], q[9];\ncrx(2.2191) q[0], q[8];\ncrx(-0.0043) q[0], q[7];\ncrx(-0.0029) q[0], q[6];\ncrx(-0.0023) q[0], q[5];\ncrx(-0.0028) q[0], q[4];\ncrx(2.1573) q[0], q[3];\ncrx(0.0021) q[0], q[2];\ncrx(0.002) q[0], q[1];\nrx(0.001) q[0];\nrz(0.0067) q[0];\nrx(0.002) q[1];\nrz(0.0059) q[1];\nrx(0.0021) q[2];\nrz(0.0055) q[2];\nrx(1.0195) q[3];\nrz(0.0002) q[3];\nrx(0.0026) q[4];\nrz(0.0025) q[4];\nrx(0.0022) q[5];\nrz(0.0048) q[5];\nrx(0.0026) q[6];\nrz(0.0011) q[6];\nrx(0.0044) q[7];\nrz(0.0053) q[7];\nrx(-0.1516) q[8];\nrz(0.0045) q[8];\nrx(-0.0013) q[9];\nrz(0.0016) q[9];\nrx(-0.0072) q[10];\nrz(0.007) q[10];\nrx(0.0006) q[11];\nrz(0.0004) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x2) q[2];\nrz(x4) q[2];\nrx(x5) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x7) q[5];\nrz(x9) q[5];\nrx(x10) q[6];\nrz(x11) q[6];\nrx(x12) q[7];\nrz(x13) q[7];\nrx(x14) q[8];\nrz(x15) q[8];\nrx(x16) q[9];\nrz(x17) q[9];\nrx(x18) q[10];\nrz(x19) q[10];\nrx(x20) q[11];\nrz(x21) q[11];\ncrx(x22) q[11], q[10];\ncrx(x23) q[11], q[9];\ncrx(x24) q[11], q[8];\ncrx(x25) q[11], q[7];\ncrx(x26) q[11], q[6];\ncrx(x27) q[11], q[5];\ncrx(x28) q[11], q[4];\ncrx(x29) q[11], q[3];\ncrx(x30) q[11], q[2];\ncrx(x31) q[11], q[1];\ncrx(x32) q[11], q[0];\ncrx(x33) q[10], q[11];\ncrx(x23) q[10], q[9];\ncrx(x24) q[10], q[8];\ncrx(x25) q[10], q[7];\ncrx(x26) q[10], q[6];\ncrx(x27) q[10], q[5];\ncrx(x28) q[10], q[4];\ncrx(x29) q[10], q[3];\ncrx(x30) q[10], q[2];\ncrx(x31) q[10], q[1];\ncrx(x32) q[10], q[0];\ncrx(x33) q[9], q[11];\ncrx(x22) q[9], q[10];\ncrx(x24) q[9], q[8];\ncrx(x25) q[9], q[7];\ncrx(x26) q[9], q[6];\ncrx(x27) q[9], q[5];\ncrx(x28) q[9], q[4];\ncrx(x29) q[9], q[3];\ncrx(x30) q[9], q[2];\ncrx(x31) q[9], q[1];\ncrx(x32) q[9], q[0];\ncrx(x33) q[8], q[11];\ncrx(x22) q[8], q[10];\ncrx(x23) q[8], q[9];\ncrx(x25) q[8], q[7];\ncrx(x26) q[8], q[6];\ncrx(x27) q[8], q[5];\ncrx(x28) q[8], q[4];\ncrx(x29) q[8], q[3];\ncrx(x30) q[8], q[2];\ncrx(x31) q[8], q[1];\ncrx(x32) q[8], q[0];\ncrx(x33) q[7], q[11];\ncrx(x22) q[7], q[10];\ncrx(x23) q[7], q[9];\ncrx(x24) q[7], q[8];\ncrx(x26) q[7], q[6];\ncrx(x27) q[7], q[5];\ncrx(x28) q[7], q[4];\ncrx(x29) q[7], q[3];\ncrx(x30) q[7], q[2];\ncrx(x31) q[7], q[1];\ncrx(x32) q[7], q[0];\ncrx(x33) q[6], q[11];\ncrx(x22) q[6], q[10];\ncrx(x23) q[6], q[9];\ncrx(x24) q[6], q[8];\ncrx(x25) q[6], q[7];\ncrx(x27) q[6], q[5];\ncrx(x28) q[6], q[4];\ncrx(x29) q[6], q[3];\ncrx(x30) q[6], q[2];\ncrx(x31) q[6], q[1];\ncrx(x32) q[6], q[0];\ncrx(x33) q[5], q[11];\ncrx(x22) q[5], q[10];\ncrx(x23) q[5], q[9];\ncrx(x24) q[5], q[8];\ncrx(x25) q[5], q[7];\ncrx(x26) q[5], q[6];\ncrx(x28) q[5], q[4];\ncrx(x29) q[5], q[3];\ncrx(x30) q[5], q[2];\ncrx(x31) q[5], q[1];\ncrx(x32) q[5], q[0];\ncrx(x33) q[4], q[11];\ncrx(x22) q[4], q[10];\ncrx(x23) q[4], q[9];\ncrx(x24) q[4], q[8];\ncrx(x25) q[4], q[7];\ncrx(x26) q[4], q[6];\ncrx(x27) q[4], q[5];\ncrx(x29) q[4], q[3];\ncrx(x30) q[4], q[2];\ncrx(x31) q[4], q[1];\ncrx(x32) q[4], q[0];\ncrx(x33) q[3], q[11];\ncrx(x22) q[3], q[10];\ncrx(x23) q[3], q[9];\ncrx(x24) q[3], q[8];\ncrx(x25) q[3], q[7];\ncrx(x26) q[3], q[6];\ncrx(x27) q[3], q[5];\ncrx(x28) q[3], q[4];\ncrx(x30) q[3], q[2];\ncrx(x31) q[3], q[1];\ncrx(x32) q[3], q[0];\ncrx(x33) q[2], q[11];\ncrx(x22) q[2], q[10];\ncrx(x23) q[2], q[9];\ncrx(x24) q[2], q[8];\ncrx(x25) q[2], q[7];\ncrx(x26) q[2], q[6];\ncrx(x27) q[2], q[5];\ncrx(x28) q[2], q[4];\ncrx(x29) q[2], q[3];\ncrx(x31) q[2], q[1];\ncrx(x32) q[2], q[0];\ncrx(x33) q[1], q[11];\ncrx(x22) q[1], q[10];\ncrx(x23) q[1], q[9];\ncrx(x24) q[1], q[8];\ncrx(x25) q[1], q[7];\ncrx(x26) q[1], q[6];\ncrx(x27) q[1], q[5];\ncrx(x28) q[1], q[4];\ncrx(x29) q[1], q[3];\ncrx(x30) q[1], q[2];\ncrx(x32) q[1], q[0];\ncrx(x33) q[0], q[11];\ncrx(x22) q[0], q[10];\ncrx(x23) q[0], q[9];\ncrx(x24) q[0], q[8];\ncrx(x25) q[0], q[7];\ncrx(x26) q[0], q[6];\ncrx(x27) q[0], q[5];\ncrx(x28) q[0], q[4];\ncrx(x29) q[0], q[3];\ncrx(x30) q[0], q[2];\ncrx(x31) q[0], q[1];\nrx(x34) q[0];\nrz(x35) q[0];\nrx(x31) q[1];\nrz(x36) q[1];\nrx(x30) q[2];\nrz(x37) q[2];\nrx(x38) q[3];\nrz(x39) q[3];\nrx(x40) q[4];\nrz(x0) q[4];\nrx(x10) q[5];\nrz(x41) q[5];\nrx(x40) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nrx(x49) q[10];\nrz(x50) q[10];\nrx(x51) q[11];\nrz(x52) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["cc89497833504b7849e07f8e2862e02c","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 7}, {\"weight\": 15, \"source\": 0, \"target\": 9}, {\"weight\": 19, \"source\": 0, \"target\": 10}, {\"weight\": 1, \"source\": 1, \"target\": 8}, {\"weight\": 7, \"source\": 2, \"target\": 9}, {\"weight\": 4, \"source\": 3, \"target\": 10}, {\"weight\": 12, \"source\": 3, \"target\": 8}, {\"weight\": 18, \"source\": 5, \"target\": 10}, {\"weight\": 19, \"source\": 6, \"target\": 10}]}","{\"states\": [335, 327], \"expectation_value\": -77.54671885905812, \"params\": [2.9002000000000003, 0.0001, 0.9406, 0.0066, 2.8975, 0.002, -0.0029000000000000002, 0.0031000000000000003, -0.0019, 0.0063, 1.4887000000000001, 0.0043, 2.9075, 0.0059, 2.8943000000000003, 0.0059, 2.8935, 0.0066, 0.006500000000000001, 0.0082, 0.004, 0.0004, 0.0098, 0.0045000000000000005, 0.0094, 0.0067, 0.0027], \"bitstrings\": [\"010110000\", \"010111000\"], \"total_optimization_steps\": 290, \"probabilities\": [0.33873734512007847, 0.3992301325026692], \"optimization_time\": 23.200058937072754}","6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(6)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(7)) + 13.5 * Z(2) + 4.0 * Z(1) + 27.5 * Z(0) + -2.5 * Z(4) + 6.0 * Z(6) + -5.5 * Z(3) + 14.0 * Z(5) + 15.0 * Z(7) + 15.5 * Z(8)",18,9,1,"{\"smallest_eigenvalues\": [-91.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -77.5, \"smallest_bitstrings\": [\"010111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(2.9002) q[0];\nrz(0.0001) q[0];\nrx(0.9406) q[1];\nrz(0.0066) q[1];\nrx(2.8975) q[2];\nrz(0.002) q[2];\nrx(-0.0029) q[3];\nrz(0.0031) q[3];\nrx(-0.0019) q[4];\nrz(0.0063) q[4];\nrx(1.4887) q[5];\nrz(0.0043) q[5];\nrx(2.9075) q[6];\nrz(0.0059) q[6];\nrx(2.8943) q[7];\nrz(0.0059) q[7];\nrx(2.8935) q[8];\nrz(0.0066) q[8];\ncrz(0.0065) q[8], q[0];\ncrz(0.0027) q[7], q[8];\ncrz(0.0067) q[6], q[7];\ncrz(0.0094) q[5], q[6];\ncrz(0.0045) q[4], q[5];\ncrz(0.0098) q[3], q[4];\ncrz(0.0004) q[2], q[3];\ncrz(0.004) q[1], q[2];\ncrz(0.0082) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x13) q[7];\nrx(x15) q[8];\nrz(x3) q[8];\ncrz(x16) q[8], q[0];\ncrz(x17) q[7], q[8];\ncrz(x18) q[6], q[7];\ncrz(x19) q[5], q[6];\ncrz(x20) q[4], q[5];\ncrz(x21) q[3], q[4];\ncrz(x22) q[2], q[3];\ncrz(x23) q[1], q[2];\ncrz(x24) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10]}\"}","{\"circuits\": [], \"gradients\": []}"]
["5442278369559804901","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[3, 4], [3, 6], [0, 4], [0, 6], [5, 7], [2, 5], [0, 1], [1, 4], [4, 7], [1, 6], [6, 7], [2, 6], [0, 5], [1, 7], [2, 3], [0, 2]]}","{\"states\": [209, 241], \"expectation_value\": -3.5650658448460075, \"params\": null, \"bitstrings\": [\"00101110\", \"00001110\"], \"total_optimization_steps\": 70, \"probabilities\": [0.31157662719524865, 0.3197264448464844], \"optimization_time\": 100.54980421066284}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(1)",1,8,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"00101110\", \"11010001\", \"10110001\", \"01001110\", \"10010001\", \"01101110\", \"00001110\", \"11110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[6];\ncry(-1.0342) q[7], q[4];\nry(1.0293) q[3];\ncry(1.4052) q[3], q[1];\ncry(-0.9035) q[1], q[6];\ncry(-0.7688) q[3], q[4];\nry(1.2198) q[7];\ncry(-1.403) q[7], q[5];\ncry(1.5604) q[7], q[0];\ncry(-0.2375) q[0], q[4];\ncry(0.3354) q[0], q[3];\ncry(-0.1674) q[0], q[5];\ncry(0.1751) q[3], q[7];\ncry(-0.0764) q[0], q[6];\ncry(-0.4251) q[0], q[1];\ncry(-0.3159) q[7], q[1];\ncry(-0.2078) q[6], q[1];\nry(0.0503) q[6];\ncry(0.1833) q[4], q[5];\ncry(-0.1846) q[4], q[0];\ncry(-0.1734) q[5], q[0];\ncry(0.0593) q[1], q[5];\ncry(-0.0465) q[2], q[5];\ncry(-0.077) q[2], q[0];\nry(0.0373) q[5];\ncry(-0.0394) q[1], q[3];\ncry(0.0444) q[7], q[3];\nry(-0.0797) q[1];\ncry(-0.0187) q[2], q[6];\ncry(-0.0494) q[2], q[3];\ncry(-0.0737) q[5], q[2];\ncry(-0.0709) q[0], q[2];\ncry(0.0166) q[3], q[0];\ncry(-0.0176) q[1], q[0];\ncry(0.0102) q[7], q[6];\ncry(0.0641) q[4], q[2];\ncry(0.0584) q[5], q[1];\ncry(-0.0498) q[5], q[4];\ncry(0.0492) q[1], q[2];\ncry(0.0409) q[4], q[6];\nry(0.0407) q[2];\ncry(-0.039) q[4], q[3];\ncry(-0.0068) q[3], q[5];\ncry(-0.0281) q[5], q[7];\ncry(0.0282) q[5], q[6];\ncry(-0.0222) q[2], q[1];\ncry(-0.0221) q[6], q[2];\ncry(-0.0199) q[4], q[7];\ncry(-0.0152) q[6], q[0];\ncry(0.0151) q[6], q[5];\ncry(-0.0165) q[6], q[3];\ncry(-0.0022) q[1], q[7];\nry(0.0041) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,null,{"$cut":{"chars":77330,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[7], q[4];\\nry(1.0293) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[7], q[4];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[7], q[4];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[7], q[4];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[6];\\ncry(-0.7688) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[7], q[4];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[6];\\ncry(-0.7688) q[3], q[4];\\nry(1.2198) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[7], q[4];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[6];\\ncry(-0.7688) q[3], q[4];\\nry(1.2198) q[7];\\ncry(-1.403) q[7], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[7], q[4];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[6];\\ncry(-0.7688) q[3], q[4];\\nry(1.2198) q[7];\\ncry(-1.403) q[7], q[5];\\ncry(1.5604) q[7], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\n"}}]
["7f5a9dfb1e236bee4145d5b6dc87f612","max_flow","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 2}]}","{\"states\": [74, 91], \"expectation_value\": -6.1406295786935745, \"params\": null, \"bitstrings\": [\"10110101\", \"10100100\"], \"total_optimization_steps\": 63, \"probabilities\": [0.10520568084598521, 0.7250061271220744], \"optimization_time\": 69.04727554321289}","-0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0 * Z(7) + 0.5 * Z(4) + -1.5 * Z(0)",1,8,4,"{\"smallest_eigenvalues\": [-6.5, -6.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"10100100\", \"11000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) q[6];\ncry(1.4449) q[7], q[3];\ncry(1.4449) q[5], q[1];\ncry(-1.4449) q[6], q[0];\ncry(-0.9598) q[6], q[5];\ncry(1.0462) q[4], q[7];\ncry(1.069) q[6], q[4];\nry(0.5782) q[7];\ncry(-0.8137) q[1], q[5];\ncry(-1.2946) q[1], q[2];\nry(0.5472) q[3];\nry(0.5174) q[1];\ncry(0.2359) q[6], q[7];\nry(0.3876) q[4];\nry(-0.1257) q[0];\ncry(-0.2011) q[6], q[2];\nry(0.1221) q[5];\ncry(0.1516) q[6], q[3];\ncry(0.1455) q[3], q[7];\ncry(0.1367) q[6], q[1];\nry(-0.1129) q[2];\ncry(0.2086) q[2], q[5];\ncry(0.09) q[3], q[4];\ncry(0.0668) q[4], q[1];\ncry(-0.0413) q[4], q[5];\ncry(-0.0709) q[4], q[2];\ncry(0.1558) q[5], q[2];\ncry(0.0569) q[1], q[3];\ncry(0.051) q[1], q[7];\ncry(0.0575) q[3], q[1];\ncry(0.032) q[4], q[3];\ncry(-0.0672) q[2], q[1];\ncry(-0.0001) q[4], q[6];\ncry(0.0304) q[1], q[4];\ncry(-0.0102) q[3], q[2];\ncry(0.0163) q[7], q[1];\ncry(-0.0066) q[3], q[5];\ncry(-0.0002) q[4], q[0];\ncry(-0.0063) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":59223,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\ncry(1.4449) q[7], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\ncry(1.4449) q[7], q[3];\\ncry(1.4449) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\ncry(1.4449) q[7], q[3];\\ncry(1.4449) q[5], q[1];\\ncry(-1.4449) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\ncry(1.4449) q[7], q[3];\\ncry(1.4449) q[5], q[1];\\ncry(-1.4449) q[6], q[0];\\ncry(-0.9598) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\ncry(1.4449) q[7], q[3];\\ncry(1.4449) q[5], q[1];\\ncry(-1.4449) q[6], q[0];\\ncry(-0.9598) q[6], q[5];\\ncry(1.0462) q[4], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\ncry(1.4449) q[7], q[3];\\ncry(1.4449) q[5], q[1];\\ncry(-1.4449) q[6], q[0];\\ncry(-0.9598) q[6], q[5];\\ncry(1.0462) q[4], q[7];\\ncry(1.069) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\ncry(1.4449) q[7], q[3];\\ncry(1.4449) q[5], q[1];\\ncry(-1.4449) q[6], q[0];\\ncry(-0.9598) q[6], q[5];\\ncry(1.0462) q[4], q[7];\\ncry(1.069) q[6], q[4];\\nry(0.5782) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\ncry(1.4449) q[7], q[3];\\ncry(1.4449) q[5], q[1];\\ncry(-1.4449) q[6], q[0];\\ncry(-0.9598) q[6], q[5];\\ncry(1.0462) q[4], q[7];\\ncry(1.069) q[6], q[4];\\nry(0.5782) q[7];\\ncry(-0.8137) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5709) q[6];\\ncry(1."}}]
["5d474162f07dfb1b3248afb7c4b90a85","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [2, 3], \"expectation_value\": -23.828179290653665, \"params\": [[[0.18860000000000002, 0.007500000000000001], [1.5242, 0.001], [0.3871, 0.0035], [0.4484, 0.00030000000000000003], [0.3065, 0.0032], [1.5966, 0.0014], [1.5954000000000002, 0.0098]]], \"bitstrings\": [\"1111101\", \"1111100\"], \"total_optimization_steps\": 160, \"probabilities\": [0.1159936733961791, 0.12185040251440266], \"optimization_time\": 2.623687505722046}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2.75 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + -10.0 * Z(1) + -10.5 * Z(0) + -10.0 * Z(2) + -10.0 * Z(3) + -10.25 * Z(4) + -9.5 * Z(5) + -9.25 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-30.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -28.75, \"smallest_bitstrings\": [\"1111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.1886) q[0];\nrz(0.0075) q[0];\nrx(1.5242) q[1];\nrz(0.001) q[1];\nrx(0.3871) q[2];\nrz(0.0035) q[2];\nrx(0.4484) q[3];\nrz(0.0003) q[3];\nrx(0.3065) q[4];\nrz(0.0032) q[4];\nrx(1.5966) q[5];\nrz(0.0014) q[5];\nrx(1.5954) q[6];\nrz(0.0098) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["4344d429d7a0da513935232b485c679c","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 6}, {\"weight\": 10, \"source\": 1, \"target\": 7}, {\"weight\": 13, \"source\": 1, \"target\": 8}, {\"weight\": 4, \"source\": 2, \"target\": 8}, {\"weight\": 4, \"source\": 3, \"target\": 9}, {\"weight\": 15, \"source\": 3, \"target\": 8}, {\"weight\": 1, \"source\": 4, \"target\": 10}, {\"weight\": 19, \"source\": 4, \"target\": 11}, {\"weight\": 2, \"source\": 5, \"target\": 11}, {\"weight\": 17, \"source\": 5, \"target\": 12}, {\"weight\": 15, \"source\": 5, \"target\": 14}]}","{\"states\": [329, 331], \"expectation_value\": -115.57364754458146, \"params\": [[-0.0027, -0.049300000000000004, 0.7926000000000001, 0.051500000000000004, 0.7853, 0.002, -0.0034000000000000002, 0.8188000000000001, 0.058300000000000005, 0.4746, 0.4581], [-0.0023, -0.1057, 0.7883, -0.061500000000000006, 0.7859, 0.0023, 0.0038, 0.7771, 0.0779, 0.8938, 0.8983000000000001], [-0.0026000000000000003, 0.16240000000000002, 0.7779, -0.0611, 0.7827000000000001, 0.0022, -0.0033, 0.8111, 0.06430000000000001, 0.075, 0.2889], [-0.0027, 0.1963, 0.7871, 0.09190000000000001, 0.7797000000000001, -0.0023, 0.0032, 0.7407, 0.3664, 0.8965000000000001, 0.8985000000000001]], \"bitstrings\": [\"11010110110\", \"11010110100\"], \"total_optimization_steps\": 90, \"probabilities\": [0.23588828942126155, 0.5062793544100007], \"optimization_time\": 21.85717463493347}","8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(9) @ Z(10)) + 14.5 * Z(2) + -3.0 * Z(1) + 2.0 * Z(3) + 15.5 * Z(4) + -6.0 * Z(5) + 9.5 * Z(7) + -7.5 * Z(6) + 9.0 * Z(8) + 7.5 * Z(10) + 8.5 * Z(9) + -15.0 * Z(0)",10,11,3,"{\"smallest_eigenvalues\": [-124.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -111.0, \"smallest_bitstrings\": [\"11010110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(-0.0027) q[0];\nry(-0.0493) q[1];\nry(0.7926) q[2];\nry(0.0515) q[3];\nry(0.7853) q[4];\nry(0.002) q[5];\nry(-0.0034) q[6];\nry(0.8188) q[7];\nry(0.0583) q[8];\nry(0.4746) q[9];\nry(0.4581) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(-0.0023) q[0];\nry(-0.1057) q[1];\nry(0.7883) q[2];\nry(-0.0615) q[3];\nry(0.7859) q[4];\nry(0.0023) q[5];\nry(0.0038) q[6];\nry(0.7771) q[7];\nry(0.0779) q[8];\nry(0.8938) q[9];\nry(0.8983) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(-0.0026) q[0];\nry(0.1624) q[1];\nry(0.7779) q[2];\nry(-0.0611) q[3];\nry(0.7827) q[4];\nry(0.0022) q[5];\nry(-0.0033) q[6];\nry(0.8111) q[7];\nry(0.0643) q[8];\nry(0.075) q[9];\nry(0.2889) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(-0.0027) q[0];\nry(0.1963) q[1];\nry(0.7871) q[2];\nry(0.0919) q[3];\nry(0.7797) q[4];\nry(-0.0023) q[5];\nry(0.0032) q[6];\nry(0.7407) q[7];\nry(0.3664) q[8];\nry(0.8965) q[9];\nry(0.8985) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x15) q[4];\nry(x16) q[5];\nry(x17) q[6];\nry(x18) q[7];\nry(x19) q[8];\nry(x20) q[9];\nry(x21) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x0) q[0];\nry(x33) q[1];\nry(x34) q[2];\nry(x35) q[3];\nry(x36) q[4];\nry(x11) q[5];\nry(x37) q[6];\nry(x38) q[7];\nry(x39) q[8];\nry(x40) q[9];\nry(x41) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["d55d504e597705d8581d37ec0d2e41ca","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 5, \"target\": 2}]}","{\"states\": [45, 63], \"expectation_value\": -4.247536484564604, \"params\": null, \"bitstrings\": [\"1010010\", \"1000000\"], \"total_optimization_steps\": 53, \"probabilities\": [0.2457050176544659, 0.7519615756918091], \"optimization_time\": 51.60922050476074}","-0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4)",1,7,4,"{\"smallest_eigenvalues\": [-4.25, -4.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.25, \"smallest_bitstrings\": [\"1000000\", \"1010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[1];\nry(1.5486) q[3];\ncry(1.5485) q[2], q[5];\nry(1.5485) q[4];\ncry(1.4448) q[1], q[6];\ncry(-1.4433) q[6], q[0];\ncry(1.0458) q[5], q[2];\nry(0.0892) q[6];\ncry(-0.1236) q[4], q[0];\nry(0.0761) q[2];\nry(0.0371) q[5];\ncry(0.0433) q[1], q[2];\ncry(0.03) q[1], q[5];\ncry(0.0348) q[3], q[2];\ncry(0.024) q[3], q[5];\ncry(0.0222) q[1], q[3];\ncry(0.0279) q[4], q[2];\ncry(0.0192) q[4], q[5];\ncry(0.0164) q[3], q[1];\ncry(0.0222) q[1], q[4];\ncry(0.0223) q[6], q[2];\ncry(0.0153) q[6], q[5];\ncry(-0.0002) q[6], q[1];\ncry(-0.007) q[3], q[0];\ncry(0.0002) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}",{"$cut":{"chars":38388,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nry(1.5486) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nry(1.5486) q[3];\\ncry(1.5485) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nry(1.5486) q[3];\\ncry(1.5485) q[2], q[5];\\nry(1.5485) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nry(1.5486) q[3];\\ncry(1.5485) q[2], q[5];\\nry(1.5485) q[4];\\ncry(1.4448) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nry(1.5486) q[3];\\ncry(1.5485) q[2], q[5];\\nry(1.5485) q[4];\\ncry(1.4448) q[1], q[6];\\ncry(-1.4433) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nry(1.5486) q[3];\\ncry(1.5485) q[2], q[5];\\nry(1.5485) q[4];\\ncry(1.4448) q[1], q[6];\\ncry(-1.4433) q[6], q[0];\\ncry(1.0458) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nry(1.5486) q[3];\\ncry(1.5485) q[2], q[5];\\nry(1.5485) q[4];\\ncry(1.4448) q[1], q[6];\\ncry(-1.4433) q[6], q[0];\\ncry(1.0458) q[5], q[2];\\nry(0.0892) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nry(1.5486) q[3];\\ncry(1.5485) q[2], q[5];\\nry(1.5485) q[4];\\ncry(1.4448) q[1], q[6];\\ncry(-1.4433) q[6], q[0];\\ncry(1.0458) q[5], q[2];\\nry(0.0892) q[6];\\ncry(-0.1236) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5486) q[1];\\nry(1.5486) q[3];\\ncry(1.5485) q[2], q[5];\\nry(1.5485) q[4];\\ncry(1.4448) q[1], q[6];\\ncry(-1.4433) q[6], q[0];\\ncry(1.0458) q[5], q[2];\\nry(0.0892) q[6];\\ncry(-0.1236) q[4], q[0];\\nry(0.0761) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\""}}]
["cde6b48ed870286595c1455af7aff8bd","graph_isomorphism","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}]}","{\"states\": [61051, 60795], \"expectation_value\": -19.772994460740257, \"params\": null, \"bitstrings\": [\"0001000110000100\", \"0001001010000100\"], \"total_optimization_steps\": 100, \"probabilities\": [0.0422151246403947, 0.700429827740859], \"optimization_time\": 1459.6900038719177}","0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(2)) + 0.25 * (Z(11) @ Z(0)) + 0.25 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(0)) + 0.25 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(8) @ Z(0)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(15) @ Z(3)) + 0.25 * (Z(15) @ Z(2)) + 0.25 * (Z(15) @ Z(0)) + 0.25 * (Z(15) @ Z(5)) + 0.5 * (Z(15) @ Z(7)) + 0.25 * (Z(15) @ Z(9)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(0)) + 0.25 * (Z(14) @ Z(5)) + 0.5 * (Z(14) @ Z(6)) + 0.25 * (Z(14) @ Z(9)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(15)) + 0.5 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(5)) + 0.5 * (Z(12) @ Z(4)) + 0.25 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(15)) + 0.5 * (Z(12) @ Z(14)) + 2.0 * Z(3) + 2.0 * Z(1) + 2.75 * Z(2) + 3.5 * Z(0) + 3.5 * Z(5) + 2.5 * Z(7) + 2.25 * Z(6) + 2.0 * Z(4) + 2.75 * Z(9) + 2.75 * Z(11) + 2.5 * Z(10) + 2.25 * Z(8) + 2.0 * Z(13) + 3.0 * Z(15) + 2.75 * Z(14) + 2.5 * Z(12)",1,16,4,"{\"smallest_eigenvalues\": [-20.49999999999988], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -20.499999999999847, \"smallest_bitstrings\": [\"0001001010000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5577) q[5];\nry(1.5577) q[0];\nry(1.5708) q[15];\nry(1.5708) q[9];\nry(1.5708) q[2];\ncry(1.5681) q[2], q[14];\ncry(1.5681) q[2], q[11];\ncry(1.5681) q[2], q[4];\ncry(-1.0342) q[12], q[13];\ncry(-1.0342) q[6], q[7];\ncry(-1.0342) q[12], q[8];\nry(0.7625) q[12];\ncry(-0.7069) q[10], q[8];\ncry(1.1319) q[12], q[10];\ncry(-0.7069) q[1], q[13];\ncry(1.132) q[12], q[1];\ncry(-0.9901) q[1], q[3];\ncry(1.1912) q[9], q[7];\ncry(-1.2798) q[10], q[6];\ncry(0.7395) q[11], q[7];\ncry(-0.5757) q[7], q[3];\nry(0.3848) q[1];\ncry(-0.3815) q[10], q[13];\ncry(0.431) q[1], q[12];\ncry(-0.3779) q[1], q[8];\ncry(0.3611) q[7], q[10];\ncry(-0.326) q[14], q[6];\ncry(0.149) q[10], q[7];\ncry(-0.0885) q[15], q[13];\ncry(0.107) q[10], q[12];\ncry(-0.0819) q[7], q[8];\ncry(-0.0591) q[15], q[3];\nry(0.0717) q[10];\ncry(-0.0504) q[15], q[6];\ncry(0.0645) q[7], q[1];\ncry(-0.0348) q[14], q[13];\ncry(0.1585) q[8], q[1];\ncry(0.1577) q[13], q[10];\ncry(-0.0192) q[15], q[8];\ncry(0.1078) q[6], q[8];\ncry(-0.015) q[14], q[3];\ncry(0.1022) q[3], q[13];\ncry(-0.0903) q[8], q[12];\ncry(0.1085) q[13], q[8];\ncry(-0.1) q[13], q[12];\ncry(0.0961) q[8], q[13];\ncry(-0.0858) q[6], q[10];\ncry(-0.0128) q[10], q[1];\ncry(-0.0739) q[8], q[10];\nry(0.0364) q[8];\ncry(-0.0099) q[1], q[10];\ncry(0.0359) q[12], q[6];\ncry(-0.0166) q[11], q[6];\ncry(-0.01) q[5], q[7];\ncry(-0.0538) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];",null,"{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 1}, {\"id\": 3}, {\"id\": 2}, {\"id\": 0}], \"edges\": [{\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 0}]}}",{"$cut":{"chars":157745,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5577) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5577) q[5];\\nry(1.5577) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5577) q[5];\\nry(1.5577) q[0];\\nry(1.5708) q[15];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5577) q[5];\\nry(1.5577) q[0];\\nry(1.5708) q[15];\\nry(1.5708) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5577) q[5];\\nry(1.5577) q[0];\\nry(1.5708) q[15];\\nry(1.5708) q[9];\\nry(1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5577) q[5];\\nry(1.5577) q[0];\\nry(1.5708) q[15];\\nry(1.5708) q[9];\\nry(1.5708) q[2];\\ncry(1.5681) q[2], q[14];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11]"}}]
["1108229130261521761","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 4], [1, 5], [1, 4], [0, 2], [1, 3], [2, 5], [2, 4], [0, 6], [3, 6], [0, 3]]}","{\"states\": [14, 15], \"expectation_value\": -2.8187486031463758, \"params\": null, \"bitstrings\": [\"1110001\", \"1110000\"], \"total_optimization_steps\": 39, \"probabilities\": [0.3414127249168174, 0.47386055313712366], \"optimization_time\": 35.41381216049194}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"1110001\", \"1110000\", \"0001111\", \"0001110\", \"1001110\", \"0110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[0];\ncry(-1.0342) q[5], q[1];\nry(1.3762) q[3];\nry(1.3762) q[4];\ncry(-0.7716) q[4], q[0];\ncry(-0.7716) q[4], q[1];\nry(1.3064) q[5];\ncry(-1.4661) q[5], q[2];\nry(-0.2361) q[1];\ncry(0.1621) q[5], q[4];\ncry(0.1938) q[4], q[3];\ncry(0.1723) q[4], q[5];\ncry(0.2107) q[5], q[0];\ncry(-0.069) q[4], q[2];\ncry(-0.0271) q[3], q[1];\ncry(0.1397) q[1], q[2];\ncry(-0.0842) q[2], q[1];\ncry(-0.039) q[0], q[2];\ncry(0.0118) q[3], q[5];\ncry(-0.005) q[3], q[4];\ncry(0.012) q[6], q[4];\ncry(0.029) q[4], q[6];\ncry(-0.0242) q[2], q[0];\ncry(0.0249) q[0], q[4];\ncry(-0.0243) q[1], q[5];\ncry(-0.0206) q[2], q[5];\ncry(-0.0213) q[2], q[4];\ncry(0.0133) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":28140,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\ncry(-1.0342) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\ncry(-1.0342) q[5], q[1];\\nry(1.3762) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\ncry(-1.0342) q[5], q[1];\\nry(1.3762) q[3];\\nry(1.3762) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\ncry(-1.0342) q[5], q[1];\\nry(1.3762) q[3];\\nry(1.3762) q[4];\\ncry(-0.7716) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\ncry(-1.0342) q[5], q[1];\\nry(1.3762) q[3];\\nry(1.3762) q[4];\\ncry(-0.7716) q[4], q[0];\\ncry(-0.7716) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\ncry(-1.0342) q[5], q[1];\\nry(1.3762) q[3];\\nry(1.3762) q[4];\\ncry(-0.7716) q[4], q[0];\\ncry(-0.7716) q[4], q[1];\\nry(1.3064) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\ncry(-1.0342) q[5], q[1];\\nry(1.3762) q[3];\\nry(1.3762) q[4];\\ncry(-0.7716) q[4], q[0];\\ncry(-0.7716) q[4], q[1];\\nry(1.3064) q[5];\\ncry(-1.4661) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\ncry(-1.0342) q[5], q[1];\\nry(1.3762) q[3];\\nry(1.3762) q[4];\\ncry(-0.7716) q[4], q[0];\\ncry(-0.7716) q[4], q[1];\\nry(1.3064) q[5];\\ncry(-1.4661) q[5], q[2];\\nry(-0.2361) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[6], q[0];\\ncry(-1.0342) q[5], q[1];\\nry(1.3762) q[3];\\nry(1.3762) q[4];\\ncry(-0.7716) q[4], q[0];\\ncry(-0.7716) q[4], q[1];\\nry(1.3064) q[5];\\ncry(-1.4661) q[5], q[2];\\nry(-0.2361) q[1];\\ncry(0.1621) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4"}}]
["9e3fd441307ea46e321a51e29b173f1a","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 2}]}","{\"states\": [111, 239], \"expectation_value\": -15.95228489293937, \"params\": [0.0021000000000000003, 0.0039000000000000003, -0.0011, 0.0015, -0.20620000000000002, -0.2073, 0.2882, 0.28600000000000003, 0.43660000000000004, 0.5499, 0.46840000000000004, 0.4389, 0.0103, 0.0122, 0.536, 0.5493, 0.49310000000000004, 0.5047, 0.42450000000000004, 0.3919, 0.4546, 0.45, -0.0016, 0.0077, 0.0055000000000000005, 0.0082, -0.2039, -0.19590000000000002, 0.2743, 0.2692, 0.4112, 0.3924, 0.446, 0.5641, 0.009000000000000001, 0.008, 0.5502, 0.5443, 0.5062, 0.4892, 0.4086, 0.41340000000000005, 0.5069, 0.5094000000000001, 0.0048000000000000004, -0.0013000000000000002, 0.0034000000000000002, -0.0013000000000000002, -0.2025, -0.20170000000000002, 0.2641, 0.2436, 0.4867, 0.5853, 0.5787, 0.5758, 0.005, 0.0064, 0.5368, 0.4067, 0.4948, 0.49060000000000004, 0.5631, 0.5835, 0.5042, 0.5217, 0.0071, -0.2666, 0.45070000000000005, 0.0806, 0.21860000000000002, 0.4529, 0.0719, 0.1812, 0.4248, 0.1067, 0.1849, 0.3919, -0.1872, 0.38570000000000004, -0.2147, 0.050100000000000006, 0.29760000000000003, -0.0395, -0.2505, 0.3064, -0.2235, 0.1345, -0.00030000000000000003, -0.2606, 0.42500000000000004, 0.0419, 0.2064, 0.41800000000000004, 0.08990000000000001, 0.227, 0.1544, -0.0196, 0.3563, 0.14120000000000002, -0.0843, 0.1505, -0.0431, 0.1531, 0.1893, 0.0105, 0.3073, 0.1385, 0.0876, 0.45420000000000005, 0.0073, -0.34540000000000004, 0.067, 0.13290000000000002, 0.2119, -0.3962, -0.17020000000000002, 0.1232, 0.3845, -0.1764, 0.1489, 0.3136, -0.0081, 0.1519, 0.0034000000000000002, -0.0653, 0.2046, 0.0431, 0.34950000000000003, 0.2849, 0.3047, 0.2894], \"bitstrings\": [\"11110010000\", \"11100010000\"], \"total_optimization_steps\": 60, \"probabilities\": [0.2745533884997161, 0.2981918312872222], \"optimization_time\": 87.4151828289032}","2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(10)) + 1.0 * (Z(3) @ Z(2)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + -0.25 * (Z(0) @ Z(1)) + 8.0 * Z(5) + 4.0 * Z(4) + 3.0 * Z(6) + 1.5 * Z(9) + 1.5 * Z(10) + -3.0 * Z(2) + -3.0 * Z(3) + 2.5 * Z(7) + 5.0 * Z(8) + -0.5 * Z(1) + -0.5 * Z(0)",14,11,3,"{\"smallest_eigenvalues\": [-17.25, -17.25, -17.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -16.25, \"smallest_bitstrings\": [\"11100010000\", \"11000000000\", \"11010010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.0021) q[0];\nry(-0.0011) q[1];\nry(-0.2062) q[2];\nry(0.2882) q[3];\nry(0.4366) q[4];\nry(0.4684) q[5];\nry(0.0103) q[6];\nry(0.536) q[7];\nry(0.4931) q[8];\nry(0.4245) q[9];\nry(0.4546) q[10];\ncrx(0.0071) q[10], q[0];\ncrx(-0.2235) q[9], q[10];\ncrx(-0.2505) q[8], q[9];\ncrx(0.2976) q[7], q[8];\ncrx(-0.2147) q[6], q[7];\ncrx(-0.1872) q[5], q[6];\ncrx(0.1849) q[4], q[5];\ncrx(0.4248) q[3], q[4];\ncrx(0.0719) q[2], q[3];\ncrx(0.2186) q[1], q[2];\ncrx(0.4507) q[0], q[1];\nry(0.0039) q[0];\nry(0.0015) q[1];\nry(-0.2073) q[2];\nry(0.286) q[3];\nry(0.5499) q[4];\nry(0.4389) q[5];\nry(0.0122) q[6];\nry(0.5493) q[7];\nry(0.5047) q[8];\nry(0.3919) q[9];\nry(0.45) q[10];\ncrx(-0.2666) q[10], q[9];\ncrx(0.0806) q[0], q[10];\ncrx(0.4529) q[0], q[1];\ncrx(0.1812) q[1], q[2];\ncrx(0.1067) q[2], q[3];\ncrx(0.3919) q[3], q[4];\ncrx(0.3857) q[4], q[5];\ncrx(0.0501) q[5], q[6];\ncrx(-0.0395) q[6], q[7];\ncrx(0.3064) q[7], q[8];\ncrx(0.1345) q[8], q[9];\nry(-0.0016) q[0];\nry(0.0055) q[1];\nry(-0.2039) q[2];\nry(0.2743) q[3];\nry(0.4112) q[4];\nry(0.446) q[5];\nry(0.009) q[6];\nry(0.5502) q[7];\nry(0.5062) q[8];\nry(0.4086) q[9];\nry(0.5069) q[10];\ncrx(-0.0003) q[10], q[0];\ncrx(0.0876) q[9], q[10];\ncrx(0.3073) q[8], q[9];\ncrx(0.1893) q[7], q[8];\ncrx(-0.0431) q[6], q[7];\ncrx(-0.0843) q[5], q[6];\ncrx(0.3563) q[4], q[5];\ncrx(0.1544) q[3], q[4];\ncrx(0.0899) q[2], q[3];\ncrx(0.2064) q[1], q[2];\ncrx(0.425) q[0], q[1];\nry(0.0077) q[0];\nry(0.0082) q[1];\nry(-0.1959) q[2];\nry(0.2692) q[3];\nry(0.3924) q[4];\nry(0.5641) q[5];\nry(0.008) q[6];\nry(0.5443) q[7];\nry(0.4892) q[8];\nry(0.4134) q[9];\nry(0.5094) q[10];\ncrx(-0.2606) q[10], q[9];\ncrx(0.0419) q[0], q[10];\ncrx(0.418) q[0], q[1];\ncrx(0.227) q[1], q[2];\ncrx(-0.0196) q[2], q[3];\ncrx(0.1412) q[3], q[4];\ncrx(0.1505) q[4], q[5];\ncrx(0.1531) q[5], q[6];\ncrx(0.0105) q[6], q[7];\ncrx(0.1385) q[7], q[8];\ncrx(0.4542) q[8], q[9];\nry(0.0048) q[0];\nry(0.0034) q[1];\nry(-0.2025) q[2];\nry(0.2641) q[3];\nry(0.4867) q[4];\nry(0.5787) q[5];\nry(0.005) q[6];\nry(0.5368) q[7];\nry(0.4948) q[8];\nry(0.5631) q[9];\nry(0.5042) q[10];\ncrx(0.0073) q[10], q[0];\ncrx(0.3047) q[9], q[10];\ncrx(0.3495) q[8], q[9];\ncrx(0.2046) q[7], q[8];\ncrx(0.0034) q[6], q[7];\ncrx(-0.0081) q[5], q[6];\ncrx(0.1489) q[4], q[5];\ncrx(0.3845) q[3], q[4];\ncrx(-0.1702) q[2], q[3];\ncrx(0.2119) q[1], q[2];\ncrx(0.067) q[0], q[1];\nry(-0.0013) q[0];\nry(-0.0013) q[1];\nry(-0.2017) q[2];\nry(0.2436) q[3];\nry(0.5853) q[4];\nry(0.5758) q[5];\nry(0.0064) q[6];\nry(0.4067) q[7];\nry(0.4906) q[8];\nry(0.5835) q[9];\nry(0.5217) q[10];\ncrx(-0.3454) q[10], q[9];\ncrx(0.1329) q[0], q[10];\ncrx(-0.3962) q[0], q[1];\ncrx(0.1232) q[1], q[2];\ncrx(-0.1764) q[2], q[3];\ncrx(0.3136) q[3], q[4];\ncrx(0.1519) q[4], q[5];\ncrx(-0.0653) q[5], q[6];\ncrx(0.0431) q[6], q[7];\ncrx(0.2849) q[7], q[8];\ncrx(0.2894) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrx(x11) q[10], q[0];\ncrx(x12) q[9], q[10];\ncrx(x13) q[8], q[9];\ncrx(x14) q[7], q[8];\ncrx(x15) q[6], q[7];\ncrx(x16) q[5], q[6];\ncrx(x17) q[4], q[5];\ncrx(x18) q[3], q[4];\ncrx(x19) q[2], q[3];\ncrx(x20) q[1], q[2];\ncrx(x21) q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncrx(x33) q[10], q[9];\ncrx(x34) q[0], q[10];\ncrx(x35) q[0], q[1];\ncrx(x36) q[1], q[2];\ncrx(x37) q[2], q[3];\ncrx(x31) q[3], q[4];\ncrx(x38) q[4], q[5];\ncrx(x39) q[5], q[6];\ncrx(x40) q[6], q[7];\ncrx(x41) q[7], q[8];\ncrx(x42) q[8], q[9];\nry(x43) q[0];\nry(x44) q[1];\nry(x45) q[2];\nry(x46) q[3];\nry(x47) q[4];\nry(x48) q[5];\nry(x49) q[6];\nry(x50) q[7];\nry(x51) q[8];\nry(x52) q[9];\nry(x53) q[10];\ncrx(x54) q[10], q[0];\ncrx(x55) q[9], q[10];\ncrx(x56) q[8], q[9];\ncrx(x57) q[7], q[8];\ncrx(x58) q[6], q[7];\ncrx(x59) q[5], q[6];\ncrx(x60) q[4], q[5];\ncrx(x61) q[3], q[4];\ncrx(x62) q[2], q[3];\ncrx(x63) q[1], q[2];\ncrx(x64) q[0], q[1];\nry(x65) q[0];\nry(x66) q[1];\nry(x67) q[2];\nry(x68) q[3];\nry(x69) q[4];\nry(x70) q[5];\nry(x71) q[6];\nry(x72) q[7];\nry(x73) q[8];\nry(x74) q[9];\nry(x75) q[10];\ncrx(x76) q[10], q[9];\ncrx(x77) q[0], q[10];\ncrx(x78) q[0], q[1];\ncrx(x79) q[1], q[2];\ncrx(x80) q[2], q[3];\ncrx(x81) q[3], q[4];\ncrx(x82) q[4], q[5];\ncrx(x83) q[5], q[6];\ncrx(x84) q[6], q[7];\ncrx(x85) q[7], q[8];\ncrx(x86) q[8], q[9];\nry(x87) q[0];\nry(x88) q[1];\nry(x89) q[2];\nry(x90) q[3];\nry(x91) q[4];\nry(x92) q[5];\nry(x93) q[6];\nry(x94) q[7];\nry(x95) q[8];\nry(x96) q[9];\nry(x97) q[10];\ncrx(x98) q[10], q[0];\ncrx(x99) q[9], q[10];\ncrx(x100) q[8], q[9];\ncrx(x101) q[7], q[8];\ncrx(x88) q[6], q[7];\ncrx(x102) q[5], q[6];\ncrx(x103) q[4], q[5];\ncrx(x104) q[3], q[4];\ncrx(x105) q[2], q[3];\ncrx(x106) q[1], q[2];\ncrx(x107) q[0], q[1];\nry(x108) q[0];\nry(x108) q[1];\nry(x109) q[2];\nry(x110) q[3];\nry(x111) q[4];\nry(x112) q[5];\nry(x113) q[6];\nry(x114) q[7];\nry(x115) q[8];\nry(x116) q[9];\nry(x117) q[10];\ncrx(x118) q[10], q[9];\ncrx(x119) q[0], q[10];\ncrx(x120) q[0], q[1];\ncrx(x121) q[1], q[2];\ncrx(x122) q[2], q[3];\ncrx(x123) q[3], q[4];\ncrx(x124) q[4], q[5];\ncrx(x125) q[5], q[6];\ncrx(x126) q[6], q[7];\ncrx(x127) q[7], q[8];\ncrx(x128) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["0541faf635a6399f550a5b5935bfa17a","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [6, 24], \"expectation_value\": -0.28048000972891524, \"params\": [[-0.0546, 0.078], [0.07830000000000001, -0.0487]], \"bitstrings\": [\"111001\", \"100111\"], \"total_optimization_steps\": 10, \"probabilities\": [0.017732015040461343, 0.017732015040461364], \"optimization_time\": 2.816734790802002}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2)",1,6,2,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"010111\", \"111010\", \"111001\", \"100111\", \"011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0546) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(-0.0546) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0546) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0546) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0546) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0546) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0546) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(-0.0546) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0546) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0546) q[2];\ncx q[5], q[2];\nrz(0.1638) q[1];\nrz(0.1092) q[0];\nrz(0.1092) q[3];\nrz(0.1638) q[4];\nrz(0.1092) q[5];\nrz(0.1092) q[2];\nh q[0];\nrz(0.1566) q[0];\nh q[0];\nh q[1];\nrz(0.1566) q[1];\nh q[1];\nh q[2];\nrz(0.1566) q[2];\nh q[2];\nh q[3];\nrz(0.1566) q[3];\nh q[3];\nh q[4];\nrz(0.1566) q[4];\nh q[4];\nh q[5];\nrz(0.1566) q[5];\nh q[5];\ncx q[1], q[0];\nrz(0.078) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.078) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.078) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.078) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.078) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(0.078) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.078) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(0.078) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.078) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(0.078) q[2];\ncx q[5], q[2];\nrz(-0.234) q[1];\nrz(-0.156) q[0];\nrz(-0.156) q[3];\nrz(-0.234) q[4];\nrz(-0.156) q[5];\nrz(-0.156) q[2];\nh q[0];\nrz(-0.0974) q[0];\nh q[0];\nh q[1];\nrz(-0.0974) q[1];\nh q[1];\nh q[2];\nrz(-0.0974) q[2];\nh q[2];\nh q[3];\nrz(-0.0974) q[3];\nh q[3];\nh q[4];\nrz(-0.0974) q[4];\nh q[4];\nh q[5];\nrz(-0.0974) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x2) q[3];\nrz(x1) q[4];\nrz(x2) q[5];\nrz(x2) q[2];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x4) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x4) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x4) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x4) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(x4) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x4) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x4) q[2];\ncx q[5], q[2];\nrz(x5) q[1];\nrz(x6) q[0];\nrz(x6) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x6) q[2];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["b4844a241e7c75ea7eb690acd3c4c004","hamiltonian_path","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 14, \"source\": 0, \"target\": 2}, {\"weight\": 7, \"source\": 1, \"target\": 2}]}","{\"states\": [1, 0], \"expectation_value\": -0.9999709924238299, \"params\": [[[0.0013000000000000002, 0.0405, 0.0038, 0.0079]], [[-0.0023, 0.0195, 0.009300000000000001, 0.0007]], [[-0.0066, 0.0002, 0.0083, 0.0078000000000000005]]], \"bitstrings\": [\"0\", \"1\"], \"total_optimization_steps\": 10, \"probabilities\": [1.4503788085081865e-05, 0.999985496211915], \"optimization_time\": 4.4675352573394775}","-1.0 * Z(0)",12,1,3,"{\"smallest_eigenvalues\": [-1.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": 1.0, \"smallest_bitstrings\": [\"1\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nry(0.0013) q[0];\nrz(0.0405) q[0];\nry(-0.0023) q[0];\nrz(0.0195) q[0];\nry(-0.0066) q[0];\nrz(0.0002) q[0];\nc[0] = measure q[0];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[1] c;\nqubit[1] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[0];\nrz(x3) q[0];\nry(x4) q[0];\nrz(x5) q[0];\nc[0] = measure q[0];","{\"start_node\": 0, \"end_node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["b301caa8ee54d69b7ea37306c72194d5","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 3}, {\"weight\": 18, \"source\": 0, \"target\": 5}, {\"weight\": 18, \"source\": 0, \"target\": 6}, {\"weight\": 18, \"source\": 0, \"target\": 7}, {\"weight\": 9, \"source\": 1, \"target\": 4}, {\"weight\": 16, \"source\": 1, \"target\": 6}, {\"weight\": 2, \"source\": 2, \"target\": 5}, {\"weight\": 12, \"source\": 2, \"target\": 4}]}","{\"states\": [233, 169], \"expectation_value\": -34.13715203401841, \"params\": [[[0.8005, -0.0027], [0.447, 0.18180000000000002], [0.7938000000000001, -0.0032], [0.0551, 0.37260000000000004], [0.8067000000000001, -0.002], [0.0018000000000000002, -0.48900000000000005], [-0.0021000000000000003, 0.44120000000000004], [0.805, -0.0031000000000000003]], [[0.7934, -0.0027], [0.4519, 0.18180000000000002], [0.7967000000000001, -0.0032], [0.0589, 0.37270000000000003], [0.8002, -0.002], [0.0012000000000000001, -0.4883], [-0.0048000000000000004, 0.4302], [0.8051, -0.0031000000000000003]], [[0.7949, 0.0032], [0.451, 0.0054], [0.7938000000000001, 0.0046], [0.0596, 0.0054], [0.8049000000000001, 0.0022], [0.0018000000000000002, 0.0056], [-0.002, 0.0098], [0.8022, 0.0088]]], \"bitstrings\": [\"00010110\", \"01010110\"], \"total_optimization_steps\": 80, \"probabilities\": [0.21559821592286305, 0.349177256930604], \"optimization_time\": 4.640715837478638}","4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(0) + -4.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + -8.0 * Z(5) + -4.5 * Z(4) + -6.0 * Z(6) + -1.0 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-46.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -37.0, \"smallest_bitstrings\": [\"01010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.8005) q[0];\nrz(-0.0027) q[0];\nrx(0.447) q[1];\nrz(0.1818) q[1];\nrx(0.7938) q[2];\nrz(-0.0032) q[2];\nrx(0.0551) q[3];\nrz(0.3726) q[3];\nrx(0.8067) q[4];\nrz(-0.002) q[4];\nrx(0.0018) q[5];\nrz(-0.489) q[5];\nrx(-0.0021) q[6];\nrz(0.4412) q[6];\nrx(0.805) q[7];\nrz(-0.0031) q[7];\nrx(0.7934) q[0];\nrz(-0.0027) q[0];\nrx(0.4519) q[1];\nrz(0.1818) q[1];\nrx(0.7967) q[2];\nrz(-0.0032) q[2];\nrx(0.0589) q[3];\nrz(0.3727) q[3];\nrx(0.8002) q[4];\nrz(-0.002) q[4];\nrx(0.0012) q[5];\nrz(-0.4883) q[5];\nrx(-0.0048) q[6];\nrz(0.4302) q[6];\nrx(0.8051) q[7];\nrz(-0.0031) q[7];\nrx(0.7949) q[0];\nrz(0.0032) q[0];\nrx(0.451) q[1];\nrz(0.0054) q[1];\nrx(0.7938) q[2];\nrz(0.0046) q[2];\nrx(0.0596) q[3];\nrz(0.0054) q[3];\nrx(0.8049) q[4];\nrz(0.0022) q[4];\nrx(0.0018) q[5];\nrz(0.0056) q[5];\nrx(-0.002) q[6];\nrz(0.0098) q[6];\nrx(0.8022) q[7];\nrz(0.0088) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[0];\nrz(x1) q[0];\nrx(x17) q[1];\nrz(x3) q[1];\nrx(x18) q[2];\nrz(x5) q[2];\nrx(x19) q[3];\nrz(x20) q[3];\nrx(x21) q[4];\nrz(x9) q[4];\nrx(x22) q[5];\nrz(x23) q[5];\nrx(x24) q[6];\nrz(x25) q[6];\nrx(x26) q[7];\nrz(x15) q[7];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x4) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x30) q[3];\nrx(x33) q[4];\nrz(x34) q[4];\nrx(x10) q[5];\nrz(x35) q[5];\nrx(x9) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["71e10f6a07412051601a17c1aaab540b","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}]}","{\"states\": [124, 127], \"expectation_value\": -9.679594509046943, \"params\": [-0.12200000000000001, 0.4913, 0.0512, 0.5967, -0.17220000000000002, 0.5585, 0.07440000000000001, 0.6635, 0.1246, 0.5213, 0.44720000000000004, 0.0745, 0.4315, 0.0222, 0.4398, 0.24650000000000002, 0.4176, 0.094, 0.4056, 0.1797, 0.386, 0.3885, 0.3982, 0.4959, 0.4046, 0.1932, 0.41000000000000003, 0.3285, 0.4244, -0.1056, 0.459, 0.0341, 0.4259, -0.0166, 0.44620000000000004, 0.2036, 0.041800000000000004, 0.5917, 0.019, 0.5159, 0.10300000000000001, 0.6321, 0.0026000000000000003, 0.44970000000000004, 0.4454, 0.0398, 0.3488, 0.1165, 0.44320000000000004, 0.5419, 0.3815, 0.1739, 0.4006, 0.4026, 0.3078, 0.30870000000000003, 0.35750000000000004, 0.5551, 0.24550000000000002, 0.3032, 0.4107, 0.7393000000000001, 0.2773, 0.43570000000000003, 0.4691, 0.3987, 0.4173, -0.224, 0.45420000000000005, 0.5104000000000001, 0.4193, -0.2775, -0.0164, 0.5126000000000001, 0.0154, 0.5123, -0.0374, 0.464, -0.0165, 0.5442, 0.3638, 0.0066, -0.0143, 0.14650000000000002, 0.3765, 0.2464, -0.0066, 0.8241, 0.3587, 0.3498, -0.0363, 0.6225, 0.2893, 0.3089, -0.2421, 0.7846000000000001, 0.3049, 0.43710000000000004, -0.2222, 0.7277, 0.41900000000000004, -0.1345, -0.1091, 0.18150000000000002, 0.42750000000000005, -0.22590000000000002, -0.0637, -0.0322, -0.0171, 0.3981, 0.0375, 0.0036000000000000003, -0.0051, 0.5331, 0.0327, 0.0012000000000000001, -0.08800000000000001, 0.0799, -0.1106, 0.003, -0.12050000000000001, 0.7679, 0.0228, 0.007, -0.0315, 0.5929, 0.09670000000000001, 0.0092, 0.1048, 0.7471, -0.0472, 0.0029000000000000002, 0.1998, 0.5347000000000001, 0.114, 0.0039000000000000003, -0.1836, 0.0714, -0.25270000000000004, 0.0082, -0.009300000000000001, -0.0719, -0.3003, 0.0031000000000000003, 0.047400000000000005, 0.045000000000000005, 0.2896, 0.0541, 0.047900000000000005, -0.0434, -0.07880000000000001, 0.164, 0.15860000000000002, -0.0085, -0.0171, 0.0329, 0.1923, 0.1618, 0.29600000000000004, 0.0437, 0.8445, 0.7479, -0.006200000000000001, -0.0089, 0.34290000000000004, 0.4208, 0.5173, 0.5726, 0.6432, 0.4495, 0.3801, -0.0036000000000000003, 0.0007, 0.033100000000000004, -0.22890000000000002, -0.2315, -0.19790000000000002, -0.2331, 0.3549, 0.36960000000000004], \"bitstrings\": [\"110000011\", \"110000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.35374195272467557, 0.45240244229954], \"optimization_time\": 94.77957034111023}","-1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7)",6,9,4,"{\"smallest_eigenvalues\": [-11.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.5, \"smallest_bitstrings\": [\"110000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(-0.122) q[0];\nrz(0.4913) q[0];\nrx(-0.1722) q[1];\nrz(0.5585) q[1];\nrx(0.1246) q[2];\nrz(0.5213) q[2];\nrx(0.4315) q[3];\nrz(0.0222) q[3];\nrx(0.4176) q[4];\nrz(0.094) q[4];\nrx(0.386) q[5];\nrz(0.3885) q[5];\nrx(0.4046) q[6];\nrz(0.1932) q[6];\nrx(0.4244) q[7];\nrz(-0.1056) q[7];\nrx(0.4259) q[8];\nrz(-0.0166) q[8];\ncrx(0.164) q[8], q[7];\ncrx(-0.0788) q[8], q[6];\ncrx(-0.0434) q[8], q[5];\ncrx(0.0479) q[8], q[4];\ncrx(0.0541) q[8], q[3];\ncrx(0.2896) q[8], q[2];\ncrx(0.045) q[8], q[1];\ncrx(0.0474) q[8], q[0];\ncrx(0.1586) q[7], q[8];\ncrx(-0.0788) q[7], q[6];\ncrx(-0.0434) q[7], q[5];\ncrx(0.0479) q[7], q[4];\ncrx(0.0541) q[7], q[3];\ncrx(0.2896) q[7], q[2];\ncrx(0.045) q[7], q[1];\ncrx(0.0474) q[7], q[0];\ncrx(0.1586) q[6], q[8];\ncrx(0.164) q[6], q[7];\ncrx(-0.0434) q[6], q[5];\ncrx(0.0479) q[6], q[4];\ncrx(0.0541) q[6], q[3];\ncrx(0.2896) q[6], q[2];\ncrx(0.045) q[6], q[1];\ncrx(0.0474) q[6], q[0];\ncrx(0.1586) q[5], q[8];\ncrx(0.164) q[5], q[7];\ncrx(-0.0788) q[5], q[6];\ncrx(0.0479) q[5], q[4];\ncrx(0.0541) q[5], q[3];\ncrx(0.2896) q[5], q[2];\ncrx(0.045) q[5], q[1];\ncrx(0.0474) q[5], q[0];\ncrx(0.1586) q[4], q[8];\ncrx(0.164) q[4], q[7];\ncrx(-0.0788) q[4], q[6];\ncrx(-0.0434) q[4], q[5];\ncrx(0.0541) q[4], q[3];\ncrx(0.2896) q[4], q[2];\ncrx(0.045) q[4], q[1];\ncrx(0.0474) q[4], q[0];\ncrx(0.1586) q[3], q[8];\ncrx(0.164) q[3], q[7];\ncrx(-0.0788) q[3], q[6];\ncrx(-0.0434) q[3], q[5];\ncrx(0.0479) q[3], q[4];\ncrx(0.2896) q[3], q[2];\ncrx(0.045) q[3], q[1];\ncrx(0.0474) q[3], q[0];\ncrx(0.1586) q[2], q[8];\ncrx(0.164) q[2], q[7];\ncrx(-0.0788) q[2], q[6];\ncrx(-0.0434) q[2], q[5];\ncrx(0.0479) q[2], q[4];\ncrx(0.0541) q[2], q[3];\ncrx(0.045) q[2], q[1];\ncrx(0.0474) q[2], q[0];\ncrx(0.1586) q[1], q[8];\ncrx(0.164) q[1], q[7];\ncrx(-0.0788) q[1], q[6];\ncrx(-0.0434) q[1], q[5];\ncrx(0.0479) q[1], q[4];\ncrx(0.0541) q[1], q[3];\ncrx(0.2896) q[1], q[2];\ncrx(0.0474) q[1], q[0];\ncrx(0.1586) q[0], q[8];\ncrx(0.164) q[0], q[7];\ncrx(-0.0788) q[0], q[6];\ncrx(-0.0434) q[0], q[5];\ncrx(0.0479) q[0], q[4];\ncrx(0.0541) q[0], q[3];\ncrx(0.2896) q[0], q[2];\ncrx(0.045) q[0], q[1];\nrx(0.0512) q[0];\nrz(0.5967) q[0];\nrx(0.0744) q[1];\nrz(0.6635) q[1];\nrx(0.4472) q[2];\nrz(0.0745) q[2];\nrx(0.4398) q[3];\nrz(0.2465) q[3];\nrx(0.4056) q[4];\nrz(0.1797) q[4];\nrx(0.3982) q[5];\nrz(0.4959) q[5];\nrx(0.41) q[6];\nrz(0.3285) q[6];\nrx(0.459) q[7];\nrz(0.0341) q[7];\nrx(0.4462) q[8];\nrz(0.2036) q[8];\nrx(0.0418) q[0];\nrz(0.5917) q[0];\nrx(0.103) q[1];\nrz(0.6321) q[1];\nrx(0.4454) q[2];\nrz(0.0398) q[2];\nrx(0.4432) q[3];\nrz(0.5419) q[3];\nrx(0.4006) q[4];\nrz(0.4026) q[4];\nrx(0.3575) q[5];\nrz(0.5551) q[5];\nrx(0.4107) q[6];\nrz(0.7393) q[6];\nrx(0.4691) q[7];\nrz(0.3987) q[7];\nrx(0.4542) q[8];\nrz(0.5104) q[8];\ncrx(0.8445) q[8], q[7];\ncrx(0.0437) q[8], q[6];\ncrx(0.296) q[8], q[5];\ncrx(0.1618) q[8], q[4];\ncrx(0.1923) q[8], q[3];\ncrx(0.0329) q[8], q[2];\ncrx(-0.0171) q[8], q[1];\ncrx(-0.0085) q[8], q[0];\ncrx(0.7479) q[7], q[8];\ncrx(0.0437) q[7], q[6];\ncrx(0.296) q[7], q[5];\ncrx(0.1618) q[7], q[4];\ncrx(0.1923) q[7], q[3];\ncrx(0.0329) q[7], q[2];\ncrx(-0.0171) q[7], q[1];\ncrx(-0.0085) q[7], q[0];\ncrx(0.7479) q[6], q[8];\ncrx(0.8445) q[6], q[7];\ncrx(0.296) q[6], q[5];\ncrx(0.1618) q[6], q[4];\ncrx(0.1923) q[6], q[3];\ncrx(0.0329) q[6], q[2];\ncrx(-0.0171) q[6], q[1];\ncrx(-0.0085) q[6], q[0];\ncrx(0.7479) q[5], q[8];\ncrx(0.8445) q[5], q[7];\ncrx(0.0437) q[5], q[6];\ncrx(0.1618) q[5], q[4];\ncrx(0.1923) q[5], q[3];\ncrx(0.0329) q[5], q[2];\ncrx(-0.0171) q[5], q[1];\ncrx(-0.0085) q[5], q[0];\ncrx(0.7479) q[4], q[8];\ncrx(0.8445) q[4], q[7];\ncrx(0.0437) q[4], q[6];\ncrx(0.296) q[4], q[5];\ncrx(0.1923) q[4], q[3];\ncrx(0.0329) q[4], q[2];\ncrx(-0.0171) q[4], q[1];\ncrx(-0.0085) q[4], q[0];\ncrx(0.7479) q[3], q[8];\ncrx(0.8445) q[3], q[7];\ncrx(0.0437) q[3], q[6];\ncrx(0.296) q[3], q[5];\ncrx(0.1618) q[3], q[4];\ncrx(0.0329) q[3], q[2];\ncrx(-0.0171) q[3], q[1];\ncrx(-0.0085) q[3], q[0];\ncrx(0.7479) q[2], q[8];\ncrx(0.8445) q[2], q[7];\ncrx(0.0437) q[2], q[6];\ncrx(0.296) q[2], q[5];\ncrx(0.1618) q[2], q[4];\ncrx(0.1923) q[2], q[3];\ncrx(-0.0171) q[2], q[1];\ncrx(-0.0085) q[2], q[0];\ncrx(0.7479) q[1], q[8];\ncrx(0.8445) q[1], q[7];\ncrx(0.0437) q[1], q[6];\ncrx(0.296) q[1], q[5];\ncrx(0.1618) q[1], q[4];\ncrx(0.1923) q[1], q[3];\ncrx(0.0329) q[1], q[2];\ncrx(-0.0085) q[1], q[0];\ncrx(0.7479) q[0], q[8];\ncrx(0.8445) q[0], q[7];\ncrx(0.0437) q[0], q[6];\ncrx(0.296) q[0], q[5];\ncrx(0.1618) q[0], q[4];\ncrx(0.1923) q[0], q[3];\ncrx(0.0329) q[0], q[2];\ncrx(-0.0171) q[0], q[1];\nrx(0.019) q[0];\nrz(0.5159) q[0];\nrx(0.0026) q[1];\nrz(0.4497) q[1];\nrx(0.3488) q[2];\nrz(0.1165) q[2];\nrx(0.3815) q[3];\nrz(0.1739) q[3];\nrx(0.3078) q[4];\nrz(0.3087) q[4];\nrx(0.2455) q[5];\nrz(0.3032) q[5];\nrx(0.2773) q[6];\nrz(0.4357) q[6];\nrx(0.4173) q[7];\nrz(-0.224) q[7];\nrx(0.4193) q[8];\nrz(-0.2775) q[8];\nrx(-0.0164) q[0];\nrz(0.5126) q[0];\nrx(-0.0374) q[1];\nrz(0.464) q[1];\nrx(0.3638) q[2];\nrz(0.0066) q[2];\nrx(0.3765) q[3];\nrz(0.2464) q[3];\nrx(0.3587) q[4];\nrz(0.3498) q[4];\nrx(0.2893) q[5];\nrz(0.3089) q[5];\nrx(0.3049) q[6];\nrz(0.4371) q[6];\nrx(0.419) q[7];\nrz(-0.1345) q[7];\nrx(0.4275) q[8];\nrz(-0.2259) q[8];\ncrx(0.4495) q[8], q[7];\ncrx(0.6432) q[8], q[6];\ncrx(0.5726) q[8], q[5];\ncrx(0.5173) q[8], q[4];\ncrx(0.4208) q[8], q[3];\ncrx(0.3429) q[8], q[2];\ncrx(-0.0089) q[8], q[1];\ncrx(-0.0062) q[8], q[0];\ncrx(0.3801) q[7], q[8];\ncrx(0.6432) q[7], q[6];\ncrx(0.5726) q[7], q[5];\ncrx(0.5173) q[7], q[4];\ncrx(0.4208) q[7], q[3];\ncrx(0.3429) q[7], q[2];\ncrx(-0.0089) q[7], q[1];\ncrx(-0.0062) q[7], q[0];\ncrx(0.3801) q[6], q[8];\ncrx(0.4495) q[6], q[7];\ncrx(0.5726) q[6], q[5];\ncrx(0.5173) q[6], q[4];\ncrx(0.4208) q[6], q[3];\ncrx(0.3429) q[6], q[2];\ncrx(-0.0089) q[6], q[1];\ncrx(-0.0062) q[6], q[0];\ncrx(0.3801) q[5], q[8];\ncrx(0.4495) q[5], q[7];\ncrx(0.6432) q[5], q[6];\ncrx(0.5173) q[5], q[4];\ncrx(0.4208) q[5], q[3];\ncrx(0.3429) q[5], q[2];\ncrx(-0.0089) q[5], q[1];\ncrx(-0.0062) q[5], q[0];\ncrx(0.3801) q[4], q[8];\ncrx(0.4495) q[4], q[7];\ncrx(0.6432) q[4], q[6];\ncrx(0.5726) q[4], q[5];\ncrx(0.4208) q[4], q[3];\ncrx(0.3429) q[4], q[2];\ncrx(-0.0089) q[4], q[1];\ncrx(-0.0062) q[4], q[0];\ncrx(0.3801) q[3], q[8];\ncrx(0.4495) q[3], q[7];\ncrx(0.6432) q[3], q[6];\ncrx(0.5726) q[3], q[5];\ncrx(0.5173) q[3], q[4];\ncrx(0.3429) q[3], q[2];\ncrx(-0.0089) q[3], q[1];\ncrx(-0.0062) q[3], q[0];\ncrx(0.3801) q[2], q[8];\ncrx(0.4495) q[2], q[7];\ncrx(0.6432) q[2], q[6];\ncrx(0.5726) q[2], q[5];\ncrx(0.5173) q[2], q[4];\ncrx(0.4208) q[2], q[3];\ncrx(-0.0089) q[2], q[1];\ncrx(-0.0062) q[2], q[0];\ncrx(0.3801) q[1], q[8];\ncrx(0.4495) q[1], q[7];\ncrx(0.6432) q[1], q[6];\ncrx(0.5726) q[1], q[5];\ncrx(0.5173) q[1], q[4];\ncrx(0.4208) q[1], q[3];\ncrx(0.3429) q[1], q[2];\ncrx(-0.0062) q[1], q[0];\ncrx(0.3801) q[0], q[8];\ncrx(0.4495) q[0], q[7];\ncrx(0.6432) q[0], q[6];\ncrx(0.5726) q[0], q[5];\ncrx(0.5173) q[0], q[4];\ncrx(0.4208) q[0], q[3];\ncrx(0.3429) q[0], q[2];\ncrx(-0.0089) q[0], q[1];\nrx(0.0154) q[0];\nrz(0.5123) q[0];\nrx(-0.0165) q[1];\nrz(0.5442) q[1];\nrx(-0.0143) q[2];\nrz(0.1465) q[2];\nrx(-0.0066) q[3];\nrz(0.8241) q[3];\nrx(-0.0363) q[4];\nrz(0.6225) q[4];\nrx(-0.2421) q[5];\nrz(0.7846) q[5];\nrx(-0.2222) q[6];\nrz(0.7277) q[6];\nrx(-0.1091) q[7];\nrz(0.1815) q[7];\nrx(-0.0637) q[8];\nrz(-0.0322) q[8];\nrx(-0.0171) q[0];\nrz(0.3981) q[0];\nrx(-0.0051) q[1];\nrz(0.5331) q[1];\nrx(-0.088) q[2];\nrz(0.0799) q[2];\nrx(-0.1205) q[3];\nrz(0.7679) q[3];\nrx(-0.0315) q[4];\nrz(0.5929) q[4];\nrx(0.1048) q[5];\nrz(0.7471) q[5];\nrx(0.1998) q[6];\nrz(0.5347) q[6];\nrx(-0.1836) q[7];\nrz(0.0714) q[7];\nrx(-0.0093) q[8];\nrz(-0.0719) q[8];\ncrx(0.3549) q[8], q[7];\ncrx(-0.2331) q[8], q[6];\ncrx(-0.1979) q[8], q[5];\ncrx(-0.2315) q[8], q[4];\ncrx(-0.2289) q[8], q[3];\ncrx(0.0331) q[8], q[2];\ncrx(0.0007) q[8], q[1];\ncrx(-0.0036) q[8], q[0];\ncrx(0.3696) q[7], q[8];\ncrx(-0.2331) q[7], q[6];\ncrx(-0.1979) q[7], q[5];\ncrx(-0.2315) q[7], q[4];\ncrx(-0.2289) q[7], q[3];\ncrx(0.0331) q[7], q[2];\ncrx(0.0007) q[7], q[1];\ncrx(-0.0036) q[7], q[0];\ncrx(0.3696) q[6], q[8];\ncrx(0.3549) q[6], q[7];\ncrx(-0.1979) q[6], q[5];\ncrx(-0.2315) q[6], q[4];\ncrx(-0.2289) q[6], q[3];\ncrx(0.0331) q[6], q[2];\ncrx(0.0007) q[6], q[1];\ncrx(-0.0036) q[6], q[0];\ncrx(0.3696) q[5], q[8];\ncrx(0.3549) q[5], q[7];\ncrx(-0.2331) q[5], q[6];\ncrx(-0.2315) q[5], q[4];\ncrx(-0.2289) q[5], q[3];\ncrx(0.0331) q[5], q[2];\ncrx(0.0007) q[5], q[1];\ncrx(-0.0036) q[5], q[0];\ncrx(0.3696) q[4], q[8];\ncrx(0.3549) q[4], q[7];\ncrx(-0.2331) q[4], q[6];\ncrx(-0.1979) q[4], q[5];\ncrx(-0.2289) q[4], q[3];\ncrx(0.0331) q[4], q[2];\ncrx(0.0007) q[4], q[1];\ncrx(-0.0036) q[4], q[0];\ncrx(0.3696) q[3], q[8];\ncrx(0.3549) q[3], q[7];\ncrx(-0.2331) q[3], q[6];\ncrx(-0.1979) q[3], q[5];\ncrx(-0.2315) q[3], q[4];\ncrx(0.0331) q[3], q[2];\ncrx(0.0007) q[3], q[1];\ncrx(-0.0036) q[3], q[0];\ncrx(0.3696) q[2], q[8];\ncrx(0.3549) q[2], q[7];\ncrx(-0.2331) q[2], q[6];\ncrx(-0.1979) q[2], q[5];\ncrx(-0.2315) q[2], q[4];\ncrx(-0.2289) q[2], q[3];\ncrx(0.0007) q[2], q[1];\ncrx(-0.0036) q[2], q[0];\ncrx(0.3696) q[1], q[8];\ncrx(0.3549) q[1], q[7];\ncrx(-0.2331) q[1], q[6];\ncrx(-0.1979) q[1], q[5];\ncrx(-0.2315) q[1], q[4];\ncrx(-0.2289) q[1], q[3];\ncrx(0.0331) q[1], q[2];\ncrx(-0.0036) q[1], q[0];\ncrx(0.3696) q[0], q[8];\ncrx(0.3549) q[0], q[7];\ncrx(-0.2331) q[0], q[6];\ncrx(-0.1979) q[0], q[5];\ncrx(-0.2315) q[0], q[4];\ncrx(-0.2289) q[0], q[3];\ncrx(0.0331) q[0], q[2];\ncrx(0.0007) q[0], q[1];\nrx(0.0375) q[0];\nrz(0.0036) q[0];\nrx(0.0327) q[1];\nrz(0.0012) q[1];\nrx(-0.1106) q[2];\nrz(0.003) q[2];\nrx(0.0228) q[3];\nrz(0.007) q[3];\nrx(0.0967) q[4];\nrz(0.0092) q[4];\nrx(-0.0472) q[5];\nrz(0.0029) q[5];\nrx(0.114) q[6];\nrz(0.0039) q[6];\nrx(-0.2527) q[7];\nrz(0.0082) q[7];\nrx(-0.3003) q[8];\nrz(0.0031) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrx(x18) q[8], q[7];\ncrx(x19) q[8], q[6];\ncrx(x20) q[8], q[5];\ncrx(x21) q[8], q[4];\ncrx(x22) q[8], q[3];\ncrx(x23) q[8], q[2];\ncrx(x24) q[8], q[1];\ncrx(x25) q[8], q[0];\ncrx(x26) q[7], q[8];\ncrx(x19) q[7], q[6];\ncrx(x20) q[7], q[5];\ncrx(x21) q[7], q[4];\ncrx(x22) q[7], q[3];\ncrx(x23) q[7], q[2];\ncrx(x24) q[7], q[1];\ncrx(x25) q[7], q[0];\ncrx(x26) q[6], q[8];\ncrx(x18) q[6], q[7];\ncrx(x20) q[6], q[5];\ncrx(x21) q[6], q[4];\ncrx(x22) q[6], q[3];\ncrx(x23) q[6], q[2];\ncrx(x24) q[6], q[1];\ncrx(x25) q[6], q[0];\ncrx(x26) q[5], q[8];\ncrx(x18) q[5], q[7];\ncrx(x19) q[5], q[6];\ncrx(x21) q[5], q[4];\ncrx(x22) q[5], q[3];\ncrx(x23) q[5], q[2];\ncrx(x24) q[5], q[1];\ncrx(x25) q[5], q[0];\ncrx(x26) q[4], q[8];\ncrx(x18) q[4], q[7];\ncrx(x19) q[4], q[6];\ncrx(x20) q[4], q[5];\ncrx(x22) q[4], q[3];\ncrx(x23) q[4], q[2];\ncrx(x24) q[4], q[1];\ncrx(x25) q[4], q[0];\ncrx(x26) q[3], q[8];\ncrx(x18) q[3], q[7];\ncrx(x19) q[3], q[6];\ncrx(x20) q[3], q[5];\ncrx(x21) q[3], q[4];\ncrx(x23) q[3], q[2];\ncrx(x24) q[3], q[1];\ncrx(x25) q[3], q[0];\ncrx(x26) q[2], q[8];\ncrx(x18) q[2], q[7];\ncrx(x19) q[2], q[6];\ncrx(x20) q[2], q[5];\ncrx(x21) q[2], q[4];\ncrx(x22) q[2], q[3];\ncrx(x24) q[2], q[1];\ncrx(x25) q[2], q[0];\ncrx(x26) q[1], q[8];\ncrx(x18) q[1], q[7];\ncrx(x19) q[1], q[6];\ncrx(x20) q[1], q[5];\ncrx(x21) q[1], q[4];\ncrx(x22) q[1], q[3];\ncrx(x23) q[1], q[2];\ncrx(x25) q[1], q[0];\ncrx(x26) q[0], q[8];\ncrx(x18) q[0], q[7];\ncrx(x19) q[0], q[6];\ncrx(x20) q[0], q[5];\ncrx(x21) q[0], q[4];\ncrx(x22) q[0], q[3];\ncrx(x23) q[0], q[2];\ncrx(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x45) q[0];\nrz(x46) q[0];\nrx(x47) q[1];\nrz(x48) q[1];\nrx(x49) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x59) q[7];\nrz(x60) q[7];\nrx(x61) q[8];\nrz(x62) q[8];\ncrx(x63) q[8], q[7];\ncrx(x64) q[8], q[6];\ncrx(x65) q[8], q[5];\ncrx(x66) q[8], q[4];\ncrx(x67) q[8], q[3];\ncrx(x68) q[8], q[2];\ncrx(x69) q[8], q[1];\ncrx(x70) q[8], q[0];\ncrx(x71) q[7], q[8];\ncrx(x64) q[7], q[6];\ncrx(x65) q[7], q[5];\ncrx(x66) q[7], q[4];\ncrx(x67) q[7], q[3];\ncrx(x68) q[7], q[2];\ncrx(x69) q[7], q[1];\ncrx(x70) q[7], q[0];\ncrx(x71) q[6], q[8];\ncrx(x63) q[6], q[7];\ncrx(x65) q[6], q[5];\ncrx(x66) q[6], q[4];\ncrx(x67) q[6], q[3];\ncrx(x68) q[6], q[2];\ncrx(x69) q[6], q[1];\ncrx(x70) q[6], q[0];\ncrx(x71) q[5], q[8];\ncrx(x63) q[5], q[7];\ncrx(x64) q[5], q[6];\ncrx(x66) q[5], q[4];\ncrx(x67) q[5], q[3];\ncrx(x68) q[5], q[2];\ncrx(x69) q[5], q[1];\ncrx(x70) q[5], q[0];\ncrx(x71) q[4], q[8];\ncrx(x63) q[4], q[7];\ncrx(x64) q[4], q[6];\ncrx(x65) q[4], q[5];\ncrx(x67) q[4], q[3];\ncrx(x68) q[4], q[2];\ncrx(x69) q[4], q[1];\ncrx(x70) q[4], q[0];\ncrx(x71) q[3], q[8];\ncrx(x63) q[3], q[7];\ncrx(x64) q[3], q[6];\ncrx(x65) q[3], q[5];\ncrx(x66) q[3], q[4];\ncrx(x68) q[3], q[2];\ncrx(x69) q[3], q[1];\ncrx(x70) q[3], q[0];\ncrx(x71) q[2], q[8];\ncrx(x63) q[2], q[7];\ncrx(x64) q[2], q[6];\ncrx(x65) q[2], q[5];\ncrx(x66) q[2], q[4];\ncrx(x67) q[2], q[3];\ncrx(x69) q[2], q[1];\ncrx(x70) q[2], q[0];\ncrx(x71) q[1], q[8];\ncrx(x63) q[1], q[7];\ncrx(x64) q[1], q[6];\ncrx(x65) q[1], q[5];\ncrx(x66) q[1], q[4];\ncrx(x67) q[1], q[3];\ncrx(x68) q[1], q[2];\ncrx(x70) q[1], q[0];\ncrx(x71) q[0], q[8];\ncrx(x63) q[0], q[7];\ncrx(x64) q[0], q[6];\ncrx(x65) q[0], q[5];\ncrx(x66) q[0], q[4];\ncrx(x67) q[0], q[3];\ncrx(x68) q[0], q[2];\ncrx(x69) q[0], q[1];\nrx(x72) q[0];\nrz(x73) q[0];\nrx(x74) q[1];\nrz(x75) q[1];\nrx(x76) q[2];\nrz(x77) q[2];\nrx(x78) q[3];\nrz(x79) q[3];\nrx(x80) q[4];\nrz(x81) q[4];\nrx(x82) q[5];\nrz(x83) q[5];\nrx(x84) q[6];\nrz(x85) q[6];\nrx(x86) q[7];\nrz(x87) q[7];\nrx(x88) q[8];\nrz(x89) q[8];\nrx(x90) q[0];\nrz(x91) q[0];\nrx(x92) q[1];\nrz(x93) q[1];\nrx(x94) q[2];\nrz(x95) q[2];\nrx(x96) q[3];\nrz(x97) q[3];\nrx(x98) q[4];\nrz(x99) q[4];\nrx(x100) q[5];\nrz(x101) q[5];\nrx(x102) q[6];\nrz(x103) q[6];\nrx(x104) q[7];\nrz(x105) q[7];\nrx(x106) q[8];\nrz(x107) q[8];\ncrx(x108) q[8], q[7];\ncrx(x109) q[8], q[6];\ncrx(x110) q[8], q[5];\ncrx(x111) q[8], q[4];\ncrx(x112) q[8], q[3];\ncrx(x113) q[8], q[2];\ncrx(x114) q[8], q[1];\ncrx(x115) q[8], q[0];\ncrx(x116) q[7], q[8];\ncrx(x109) q[7], q[6];\ncrx(x110) q[7], q[5];\ncrx(x111) q[7], q[4];\ncrx(x112) q[7], q[3];\ncrx(x113) q[7], q[2];\ncrx(x114) q[7], q[1];\ncrx(x115) q[7], q[0];\ncrx(x116) q[6], q[8];\ncrx(x108) q[6], q[7];\ncrx(x110) q[6], q[5];\ncrx(x111) q[6], q[4];\ncrx(x112) q[6], q[3];\ncrx(x113) q[6], q[2];\ncrx(x114) q[6], q[1];\ncrx(x115) q[6], q[0];\ncrx(x116) q[5], q[8];\ncrx(x108) q[5], q[7];\ncrx(x109) q[5], q[6];\ncrx(x111) q[5], q[4];\ncrx(x112) q[5], q[3];\ncrx(x113) q[5], q[2];\ncrx(x114) q[5], q[1];\ncrx(x115) q[5], q[0];\ncrx(x116) q[4], q[8];\ncrx(x108) q[4], q[7];\ncrx(x109) q[4], q[6];\ncrx(x110) q[4], q[5];\ncrx(x112) q[4], q[3];\ncrx(x113) q[4], q[2];\ncrx(x114) q[4], q[1];\ncrx(x115) q[4], q[0];\ncrx(x116) q[3], q[8];\ncrx(x108) q[3], q[7];\ncrx(x109) q[3], q[6];\ncrx(x110) q[3], q[5];\ncrx(x111) q[3], q[4];\ncrx(x113) q[3], q[2];\ncrx(x114) q[3], q[1];\ncrx(x115) q[3], q[0];\ncrx(x116) q[2], q[8];\ncrx(x108) q[2], q[7];\ncrx(x109) q[2], q[6];\ncrx(x110) q[2], q[5];\ncrx(x111) q[2], q[4];\ncrx(x112) q[2], q[3];\ncrx(x114) q[2], q[1];\ncrx(x115) q[2], q[0];\ncrx(x116) q[1], q[8];\ncrx(x108) q[1], q[7];\ncrx(x109) q[1], q[6];\ncrx(x110) q[1], q[5];\ncrx(x111) q[1], q[4];\ncrx(x112) q[1], q[3];\ncrx(x113) q[1], q[2];\ncrx(x115) q[1], q[0];\ncrx(x116) q[0], q[8];\ncrx(x108) q[0], q[7];\ncrx(x109) q[0], q[6];\ncrx(x110) q[0], q[5];\ncrx(x111) q[0], q[4];\ncrx(x112) q[0], q[3];\ncrx(x113) q[0], q[2];\ncrx(x114) q[0], q[1];\nrx(x117) q[0];\nrz(x118) q[0];\nrx(x119) q[1];\nrz(x120) q[1];\nrx(x121) q[2];\nrz(x122) q[2];\nrx(x123) q[3];\nrz(x124) q[3];\nrx(x125) q[4];\nrz(x126) q[4];\nrx(x127) q[5];\nrz(x128) q[5];\nrx(x129) q[6];\nrz(x130) q[6];\nrx(x131) q[7];\nrz(x132) q[7];\nrx(x133) q[8];\nrz(x134) q[8];\nrx(x69) q[0];\nrz(x135) q[0];\nrx(x136) q[1];\nrz(x137) q[1];\nrx(x138) q[2];\nrz(x139) q[2];\nrx(x140) q[3];\nrz(x141) q[3];\nrx(x142) q[4];\nrz(x143) q[4];\nrx(x144) q[5];\nrz(x145) q[5];\nrx(x146) q[6];\nrz(x147) q[6];\nrx(x148) q[7];\nrz(x149) q[7];\nrx(x150) q[8];\nrz(x151) q[8];\ncrx(x152) q[8], q[7];\ncrx(x153) q[8], q[6];\ncrx(x154) q[8], q[5];\ncrx(x155) q[8], q[4];\ncrx(x156) q[8], q[3];\ncrx(x157) q[8], q[2];\ncrx(x158) q[8], q[1];\ncrx(x159) q[8], q[0];\ncrx(x160) q[7], q[8];\ncrx(x153) q[7], q[6];\ncrx(x154) q[7], q[5];\ncrx(x155) q[7], q[4];\ncrx(x156) q[7], q[3];\ncrx(x157) q[7], q[2];\ncrx(x158) q[7], q[1];\ncrx(x159) q[7], q[0];\ncrx(x160) q[6], q[8];\ncrx(x152) q[6], q[7];\ncrx(x154) q[6], q[5];\ncrx(x155) q[6], q[4];\ncrx(x156) q[6], q[3];\ncrx(x157) q[6], q[2];\ncrx(x158) q[6], q[1];\ncrx(x159) q[6], q[0];\ncrx(x160) q[5], q[8];\ncrx(x152) q[5], q[7];\ncrx(x153) q[5], q[6];\ncrx(x155) q[5], q[4];\ncrx(x156) q[5], q[3];\ncrx(x157) q[5], q[2];\ncrx(x158) q[5], q[1];\ncrx(x159) q[5], q[0];\ncrx(x160) q[4], q[8];\ncrx(x152) q[4], q[7];\ncrx(x153) q[4], q[6];\ncrx(x154) q[4], q[5];\ncrx(x156) q[4], q[3];\ncrx(x157) q[4], q[2];\ncrx(x158) q[4], q[1];\ncrx(x159) q[4], q[0];\ncrx(x160) q[3], q[8];\ncrx(x152) q[3], q[7];\ncrx(x153) q[3], q[6];\ncrx(x154) q[3], q[5];\ncrx(x155) q[3], q[4];\ncrx(x157) q[3], q[2];\ncrx(x158) q[3], q[1];\ncrx(x159) q[3], q[0];\ncrx(x160) q[2], q[8];\ncrx(x152) q[2], q[7];\ncrx(x153) q[2], q[6];\ncrx(x154) q[2], q[5];\ncrx(x155) q[2], q[4];\ncrx(x156) q[2], q[3];\ncrx(x158) q[2], q[1];\ncrx(x159) q[2], q[0];\ncrx(x160) q[1], q[8];\ncrx(x152) q[1], q[7];\ncrx(x153) q[1], q[6];\ncrx(x154) q[1], q[5];\ncrx(x155) q[1], q[4];\ncrx(x156) q[1], q[3];\ncrx(x157) q[1], q[2];\ncrx(x159) q[1], q[0];\ncrx(x160) q[0], q[8];\ncrx(x152) q[0], q[7];\ncrx(x153) q[0], q[6];\ncrx(x154) q[0], q[5];\ncrx(x155) q[0], q[4];\ncrx(x156) q[0], q[3];\ncrx(x157) q[0], q[2];\ncrx(x158) q[0], q[1];\nrx(x161) q[0];\nrz(x162) q[0];\nrx(x163) q[1];\nrz(x164) q[1];\nrx(x165) q[2];\nrz(x166) q[2];\nrx(x167) q[3];\nrz(x168) q[3];\nrx(x169) q[4];\nrz(x170) q[4];\nrx(x171) q[5];\nrz(x172) q[5];\nrx(x173) q[6];\nrz(x174) q[6];\nrx(x175) q[7];\nrz(x176) q[7];\nrx(x177) q[8];\nrz(x178) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["23529db270bae4def52806aeae1d449e","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 9, \"target\": 10}]}","{\"states\": [1023, 1019], \"expectation_value\": -0.3459013509838278, \"params\": [[-0.045200000000000004], [0.0557]], \"bitstrings\": [\"0000000000\", \"0000000100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0012161693684971861, 0.001228430496886137], \"optimization_time\": 2.9862186908721924}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) + -0.5 * Z(7)",5,10,1,"{\"smallest_eigenvalues\": [-14.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.5, \"smallest_bitstrings\": [\"0000000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(0.1356) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.1356) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.1356) q[3];\ncx q[0], q[3];\ncx q[6], q[4];\nrz(0.1356) q[4];\ncx q[6], q[4];\ncx q[6], q[5];\nrz(0.1356) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(-0.0452) q[5];\ncx q[4], q[5];\ncx q[9], q[8];\nrz(0.1356) q[8];\ncx q[9], q[8];\ncx q[9], q[2];\nrz(0.1356) q[2];\ncx q[9], q[2];\ncx q[8], q[2];\nrz(-0.0452) q[2];\ncx q[8], q[2];\nrz(-0.0452) q[1];\nrz(-0.0452) q[0];\nrz(-0.0452) q[3];\nrz(-0.0452) q[6];\nrz(-0.0452) q[4];\nrz(-0.0452) q[5];\nrz(-0.0452) q[9];\nrz(-0.0452) q[8];\nrz(-0.0452) q[2];\nrz(0.0452) q[7];\nh q[0];\nrz(0.1114) q[0];\nh q[0];\nh q[1];\nrz(0.1114) q[1];\nh q[1];\nh q[2];\nrz(0.1114) q[2];\nh q[2];\nh q[3];\nrz(0.1114) q[3];\nh q[3];\nh q[4];\nrz(0.1114) q[4];\nh q[4];\nh q[5];\nrz(0.1114) q[5];\nh q[5];\nh q[6];\nrz(0.1114) q[6];\nh q[6];\nh q[7];\nrz(0.1114) q[7];\nh q[7];\nh q[8];\nrz(0.1114) q[8];\nh q[8];\nh q[9];\nrz(0.1114) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[9], q[8];\nrz(x0) q[8];\ncx q[9], q[8];\ncx q[9], q[2];\nrz(x0) q[2];\ncx q[9], q[2];\ncx q[8], q[2];\nrz(x1) q[2];\ncx q[8], q[2];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[3];\nrz(x1) q[6];\nrz(x1) q[4];\nrz(x1) q[5];\nrz(x1) q[9];\nrz(x1) q[8];\nrz(x1) q[2];\nrz(x2) q[7];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nh q[7];\nrz(x3) q[7];\nh q[7];\nh q[8];\nrz(x3) q[8];\nh q[8];\nh q[9];\nrz(x3) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 7}","{\"circuits\": [], \"gradients\": []}"]
["e543ef7ed69757cb61258022eb86ed78","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [36, 56], \"expectation_value\": -3.1136197858247554, \"params\": [[0.3406], [-0.3773]], \"bitstrings\": [\"1011011\", \"1000111\"], \"total_optimization_steps\": 40, \"probabilities\": [0.0390999342764678, 0.03916005985291359], \"optimization_time\": 1.8182625770568848}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(2) + -1.5 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1010101\", \"1010110\", \"1000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.3406) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.3406) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(0.3406) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(0.3406) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(0.3406) q[6];\ncx q[5], q[6];\ncx q[5], q[2];\nrz(0.3406) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(0.3406) q[2];\ncx q[6], q[2];\ncx q[3], q[4];\nrz(0.3406) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.3406) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(0.3406) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(0.3406) q[4];\ncx q[2], q[4];\nrz(0) q[1];\nrz(-1.0218) q[0];\nrz(-0.3406) q[3];\nrz(-1.0218) q[5];\nrz(-1.0218) q[6];\nrz(-0.6812) q[2];\nrz(-1.0218) q[4];\nh q[0];\nrz(-0.7546) q[0];\nh q[0];\nh q[1];\nrz(-0.7546) q[1];\nh q[1];\nh q[2];\nrz(-0.7546) q[2];\nh q[2];\nh q[3];\nrz(-0.7546) q[3];\nh q[3];\nh q[4];\nrz(-0.7546) q[4];\nh q[4];\nh q[5];\nrz(-0.7546) q[5];\nh q[5];\nh q[6];\nrz(-0.7546) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x4) q[2];\nrz(x2) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["5570477335531933170","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[2, 3, 4], [0, 4], [1, 6], [0, 5]]}","{\"states\": [89, 120], \"expectation_value\": -0.6203968622306947, \"params\": [[0.37160000000000004], [-0.3685]], \"bitstrings\": [\"0100110\", \"0000111\"], \"total_optimization_steps\": 40, \"probabilities\": [0.02247728512384064, 0.02247728512384064], \"optimization_time\": 1.5438287258148193}","0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-1.8333333333333335, -1.8333333333333335], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.833333333333333, \"smallest_bitstrings\": [\"0100110\", \"0000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[2];\nrz(0.1239) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(0.1239) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(0.1239) q[4];\ncx q[2], q[4];\ncx q[4], q[0];\nrz(0.3716) q[0];\ncx q[4], q[0];\ncx q[6], q[1];\nrz(0.3716) q[1];\ncx q[6], q[1];\ncx q[0], q[5];\nrz(0.3716) q[5];\ncx q[0], q[5];\nrz(0.1239) q[3];\nrz(0.1239) q[2];\nrz(0.1239) q[4];\nrz(0) q[0];\nrz(0) q[6];\nrz(0) q[1];\nrz(0) q[5];\nh q[0];\nrz(-0.737) q[0];\nh q[0];\nh q[1];\nrz(-0.737) q[1];\nh q[1];\nh q[2];\nrz(-0.737) q[2];\nh q[2];\nh q[3];\nrz(-0.737) q[3];\nh q[3];\nh q[4];\nrz(-0.737) q[4];\nh q[4];\nh q[5];\nrz(-0.737) q[5];\nh q[5];\nh q[6];\nrz(-0.737) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[4], q[0];\nrz(x1) q[0];\ncx q[4], q[0];\ncx q[6], q[1];\nrz(x1) q[1];\ncx q[6], q[1];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\nrz(x0) q[3];\nrz(x0) q[2];\nrz(x0) q[4];\nrz(x2) q[0];\nrz(x2) q[6];\nrz(x2) q[1];\nrz(x2) q[5];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["cab30abb7b2f0a82dfbd763ddb64ab77","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 7, \"target\": 8}, {\"source\": 9, \"target\": 10}, {\"source\": 9, \"target\": 11}, {\"source\": 10, \"target\": 11}]}","{\"states\": [255, 2047], \"expectation_value\": -1.976728772743238, \"params\": [[-0.078], [0.0742]], \"bitstrings\": [\"11100000000\", \"00000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00104105246439671, 0.0010553366201019568], \"optimization_time\": 3.413753032684326}","-2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + 1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(10)",1,11,1,"{\"smallest_eigenvalues\": [-22.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.5, \"smallest_bitstrings\": [\"00000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(0.312) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.234) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.078) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(0.312) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(-0.078) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.39) q[5];\ncx q[3], q[5];\ncx q[4], q[6];\nrz(0.312) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(0.39) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.156) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.078) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(-0.156) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.312) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.39) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(0.234) q[8];\ncx q[9], q[8];\ncx q[9], q[10];\nrz(0.234) q[10];\ncx q[9], q[10];\ncx q[8], q[10];\nrz(0.234) q[10];\ncx q[8], q[10];\nrz(-0.156) q[1];\nrz(0.156) q[0];\nrz(-0.078) q[2];\nrz(-0.078) q[4];\nrz(-0.078) q[3];\nrz(-0.078) q[5];\nrz(-0.078) q[6];\nrz(-0.078) q[7];\nrz(-0.078) q[9];\nrz(-0.078) q[8];\nrz(-0.078) q[10];\nh q[0];\nrz(0.1484) q[0];\nh q[0];\nh q[1];\nrz(0.1484) q[1];\nh q[1];\nh q[2];\nrz(0.1484) q[2];\nh q[2];\nh q[3];\nrz(0.1484) q[3];\nh q[3];\nh q[4];\nrz(0.1484) q[4];\nh q[4];\nh q[5];\nrz(0.1484) q[5];\nh q[5];\nh q[6];\nrz(0.1484) q[6];\nh q[6];\nh q[7];\nrz(0.1484) q[7];\nh q[7];\nh q[8];\nrz(0.1484) q[8];\nh q[8];\nh q[9];\nrz(0.1484) q[9];\nh q[9];\nh q[10];\nrz(0.1484) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x4) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x2) q[7];\ncx q[4], q[7];\ncx q[3], q[7];\nrz(x4) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x3) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(x1) q[8];\ncx q[9], q[8];\ncx q[9], q[10];\nrz(x1) q[10];\ncx q[9], q[10];\ncx q[8], q[10];\nrz(x1) q[10];\ncx q[8], q[10];\nrz(x4) q[1];\nrz(x5) q[0];\nrz(x2) q[2];\nrz(x2) q[4];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x2) q[9];\nrz(x2) q[8];\nrz(x2) q[10];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\nh q[9];\nrz(x6) q[9];\nh q[9];\nh q[10];\nrz(x6) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["251c225029b23900c5d41a0a241e8f62","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [5994, 5982], \"expectation_value\": -1.6750535004617029, \"params\": [[[0.7948000000000001, 0.17470000000000002, 0.0057, 0.0022], [0.2651, -0.3422, 0.8012, 0.022600000000000002], [0.7944, 0.06520000000000001, 0.8044, -0.2204], [-0.2776, -0.0461, 0.2076, 0.34600000000000003], [0.1872, -0.5888, -0.0097, -0.6983], [0.1368, 0.6435000000000001, 0.8009000000000001, -0.0854], [0.5866, 0.0429, 0.43370000000000003, 0.24000000000000002], [0.5096, -0.5559000000000001, 0.7999, -0.0618], [0.792, 0.0777, 0.7904, -0.183], [0.3685, -0.2248, 0.5706, -0.2441], [0.7885000000000001, 0.2046, 0.5891000000000001, -0.14800000000000002], [0.7965, -0.26980000000000004, 0.8, 0.031100000000000003], [0.5661, -0.5012, 0.004200000000000001, 0.006900000000000001]], [[0.4161, -0.128, 0.0079, 0.0034000000000000002], [0.4057, -0.0341, 0.8011, 0.0002], [0.5793, 0.2665, 0.7818, 0.0028], [0.1817, -0.6912, 0.5723, 0.0089], [0.7975, -0.0901, 0.8042, 0.004], [0.8014, 0.6126, 0.08320000000000001, 0.01], [0.5680000000000001, 0.1395, 0.7991, 0.0034000000000000002], [0.804, -0.0815, 0.5553, 0.0057], [0.6890000000000001, 0.2404, 0.7904, 0.0067], [0.24650000000000002, 0.5224, 0.18280000000000002, 0.0044], [0.7952, 0.2459, 0.792, 0.0054], [0.7965, -0.3703, 0.7952, 0.0061], [0.5578000000000001, 0.0063, 0.0027, 0.009600000000000001]]], \"bitstrings\": [\"0100010010101\", \"0100010100001\"], \"total_optimization_steps\": 80, \"probabilities\": [0.029467479899161396, 0.0376927338336744], \"optimization_time\": 21.380154848098755}","0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(5) @ Z(2)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(5) @ Z(3)) + -0.0625 * (Z(0) @ Z(5) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(5) @ Z(2) @ Z(3)) + -0.0625 * (Z(5) @ Z(2) @ Z(4)) + -0.0625 * (Z(5) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(5) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(5) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(5) @ Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(4) @ Z(3) @ Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(2) @ Z(9)) + 0.125 * (Z(7) @ Z(8)) + 0.125 * (Z(7) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(2) @ Z(7) @ Z(8)) + -0.125 * (Z(2) @ Z(7) @ Z(9)) + -0.125 * (Z(2) @ Z(8) @ Z(9)) + -0.125 * (Z(7) @ Z(8) @ Z(9)) + 0.125 * (Z(2) @ Z(7) @ Z(8) @ Z(9)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(10) @ Z(3)) + 0.125 * (Z(11) @ Z(3)) + 0.125 * (Z(10) @ Z(7)) + 0.125 * (Z(11) @ Z(7)) + 0.125 * (Z(10) @ Z(11)) + -0.125 * (Z(10) @ Z(7) @ Z(3)) + -0.125 * (Z(11) @ Z(7) @ Z(3)) + -0.125 * (Z(10) @ Z(11) @ Z(3)) + -0.125 * (Z(10) @ Z(11) @ Z(7)) + 0.125 * (Z(10) @ Z(11) @ Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(10) @ Z(4)) + 0.125 * (Z(12) @ Z(4)) + 0.125 * (Z(10) @ Z(8)) + 0.125 * (Z(12) @ Z(8)) + 0.125 * (Z(10) @ Z(12)) + -0.125 * (Z(10) @ Z(8) @ Z(4)) + -0.125 * (Z(12) @ Z(8) @ Z(4)) + -0.125 * (Z(10) @ Z(12) @ Z(4)) + -0.125 * (Z(10) @ Z(12) @ Z(8)) + 0.125 * (Z(10) @ Z(12) @ Z(8) @ Z(4)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(9)) + 0.0625 * (Z(5) @ Z(11)) + 0.0625 * (Z(5) @ Z(12)) + 0.0625 * (Z(6) @ Z(9)) + 0.0625 * (Z(11) @ Z(6)) + 0.0625 * (Z(6) @ Z(12)) + 0.0625 * (Z(11) @ Z(9)) + 0.0625 * (Z(12) @ Z(9)) + 0.0625 * (Z(11) @ Z(12)) + -0.0625 * (Z(5) @ Z(6) @ Z(9)) + -0.0625 * (Z(5) @ Z(11) @ Z(6)) + -0.0625 * (Z(5) @ Z(6) @ Z(12)) + -0.0625 * (Z(5) @ Z(11) @ Z(9)) + -0.0625 * (Z(5) @ Z(12) @ Z(9)) + -0.0625 * (Z(5) @ Z(11) @ Z(12)) + -0.0625 * (Z(11) @ Z(6) @ Z(9)) + -0.0625 * (Z(6) @ Z(12) @ Z(9)) + -0.0625 * (Z(11) @ Z(6) @ Z(12)) + -0.0625 * (Z(11) @ Z(12) @ Z(9)) + 0.0625 * (Z(5) @ Z(11) @ Z(6) @ Z(9)) + 0.0625 * (Z(5) @ Z(6) @ Z(12) @ Z(9)) + 0.0625 * (Z(5) @ Z(11) @ Z(6) @ Z(12)) + 0.0625 * (Z(5) @ Z(11) @ Z(12) @ Z(9)) + 0.0625 * (Z(11) @ Z(6) @ Z(12) @ Z(9)) + -0.0625 * (Z(11) @ Z(6) @ Z(12) @ Z(9) @ Z(5)) + -0.0625 * Z(0) + -0.5 * Z(1) + 0.3125 * Z(2) + 0.3125 * Z(3) + 0.3125 * Z(4) + 0.375 * Z(5) + -0.0625 * Z(6) + 0.25 * Z(7) + 0.25 * Z(8) + 0.3125 * Z(9) + 0.25 * Z(10) + 0.3125 * Z(11) + 0.3125 * Z(12)",11,13,2,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 45, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1100000010010\", \"1100000001100\", \"0100010010100\", \"0100010010010\", \"0100010001100\", \"0110000100001\", \"0101000100001\", \"0101001010000\", \"0110000010010\", \"0110010000100\", \"0101000010010\", \"0101000010001\", \"0101000001100\", \"0101000001001\", \"0110001000100\", \"0100110100000\", \"0101000011000\", \"0110100000010\", \"0100101100000\", \"0111000000001\", \"1000001110000\", \"1000001100100\", \"0100100100010\", \"0100100100001\", \"1000001010100\", \"1000001010010\", \"1000001001100\", \"1000101100000\", \"0100100010010\", \"0100100001100\", \"0100100001010\", \"0100100101000\", \"1000001100001\", \"0100010110000\", \"0100010100100\", \"0100010100001\", \"1010001000100\", \"1001001010000\", \"1100000100001\", \"0110000001100\", \"0110000000110\", \"0110000000101\", \"0110000000011\", \"0101010010000\", \"0101100001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(0.7948) q[0];\nrz(0.1747) q[0];\nry(0.2651) q[1];\nrz(-0.3422) q[1];\nry(0.7944) q[2];\nrz(0.0652) q[2];\nry(-0.2776) q[3];\nrz(-0.0461) q[3];\nry(0.1872) q[4];\nrz(-0.5888) q[4];\nry(0.1368) q[5];\nrz(0.6435) q[5];\nry(0.5866) q[6];\nrz(0.0429) q[6];\nry(0.5096) q[7];\nrz(-0.5559) q[7];\nry(0.792) q[8];\nrz(0.0777) q[8];\nry(0.3685) q[9];\nrz(-0.2248) q[9];\nry(0.7885) q[10];\nrz(0.2046) q[10];\nry(0.7965) q[11];\nrz(-0.2698) q[11];\nry(0.5661) q[12];\nrz(-0.5012) q[12];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(0.8012) q[1];\nrz(0.0226) q[1];\nry(0.8044) q[2];\nrz(-0.2204) q[2];\ncx q[2], q[1];\nry(0.2076) q[3];\nrz(0.346) q[3];\nry(-0.0097) q[4];\nrz(-0.6983) q[4];\ncx q[4], q[3];\nry(0.8009) q[5];\nrz(-0.0854) q[5];\nry(0.4337) q[6];\nrz(0.24) q[6];\ncx q[6], q[5];\nry(0.7999) q[7];\nrz(-0.0618) q[7];\nry(0.7904) q[8];\nrz(-0.183) q[8];\ncx q[8], q[7];\nry(0.5706) q[9];\nrz(-0.2441) q[9];\nry(0.5891) q[10];\nrz(-0.148) q[10];\ncx q[10], q[9];\nry(0.8) q[11];\nrz(0.0311) q[11];\ncx q[12], q[11];\nry(0.4161) q[0];\nrz(-0.128) q[0];\nry(0.4057) q[1];\nrz(-0.0341) q[1];\nry(0.5793) q[2];\nrz(0.2665) q[2];\nry(0.1817) q[3];\nrz(-0.6912) q[3];\nry(0.7975) q[4];\nrz(-0.0901) q[4];\nry(0.8014) q[5];\nrz(0.6126) q[5];\nry(0.568) q[6];\nrz(0.1395) q[6];\nry(0.804) q[7];\nrz(-0.0815) q[7];\nry(0.689) q[8];\nrz(0.2404) q[8];\nry(0.2465) q[9];\nrz(0.5224) q[9];\nry(0.7952) q[10];\nrz(0.2459) q[10];\nry(0.7965) q[11];\nrz(-0.3703) q[11];\nry(0.5578) q[12];\nrz(0.0063) q[12];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(0.8011) q[1];\nrz(0.0002) q[1];\nry(0.7818) q[2];\nrz(0.0028) q[2];\ncx q[2], q[1];\nry(0.5723) q[3];\nrz(0.0089) q[3];\nry(0.8042) q[4];\nrz(0.004) q[4];\ncx q[4], q[3];\nry(0.0832) q[5];\nrz(0.01) q[5];\nry(0.7991) q[6];\nrz(0.0034) q[6];\ncx q[6], q[5];\nry(0.5553) q[7];\nrz(0.0057) q[7];\nry(0.7904) q[8];\nrz(0.0067) q[8];\ncx q[8], q[7];\nry(0.1828) q[9];\nrz(0.0044) q[9];\nry(0.792) q[10];\nrz(0.0054) q[10];\ncx q[10], q[9];\nry(0.7952) q[11];\nrz(0.0061) q[11];\ncx q[12], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x18) q[9];\nrz(x19) q[9];\nry(x20) q[10];\nrz(x21) q[10];\nry(x22) q[11];\nrz(x23) q[11];\nry(x24) q[12];\nrz(x25) q[12];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x26) q[1];\nrz(x27) q[1];\nry(x28) q[2];\nrz(x29) q[2];\ncx q[2], q[1];\nry(x30) q[3];\nrz(x31) q[3];\nry(x32) q[4];\nrz(x33) q[4];\ncx q[4], q[3];\nry(x34) q[5];\nrz(x35) q[5];\nry(x36) q[6];\nrz(x37) q[6];\ncx q[6], q[5];\nry(x38) q[7];\nrz(x39) q[7];\nry(x40) q[8];\nrz(x41) q[8];\ncx q[8], q[7];\nry(x42) q[9];\nrz(x43) q[9];\nry(x44) q[10];\nrz(x45) q[10];\ncx q[10], q[9];\nry(x46) q[11];\nrz(x47) q[11];\ncx q[12], q[11];\nry(x48) q[0];\nrz(x49) q[0];\nry(x50) q[1];\nrz(x51) q[1];\nry(x52) q[2];\nrz(x53) q[2];\nry(x54) q[3];\nrz(x55) q[3];\nry(x56) q[4];\nrz(x57) q[4];\nry(x58) q[5];\nrz(x59) q[5];\nry(x60) q[6];\nrz(x61) q[6];\nry(x62) q[7];\nrz(x63) q[7];\nry(x64) q[8];\nrz(x65) q[8];\nry(x66) q[9];\nrz(x67) q[9];\nry(x68) q[10];\nrz(x69) q[10];\nry(x22) q[11];\nrz(x70) q[11];\nry(x71) q[12];\nrz(x72) q[12];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x73) q[1];\nrz(x74) q[1];\nry(x75) q[2];\nrz(x76) q[2];\ncx q[2], q[1];\nry(x77) q[3];\nrz(x78) q[3];\nry(x79) q[4];\nrz(x80) q[4];\ncx q[4], q[3];\nry(x81) q[5];\nrz(x82) q[5];\nry(x83) q[6];\nrz(x84) q[6];\ncx q[6], q[5];\nry(x85) q[7];\nrz(x86) q[7];\nry(x40) q[8];\nrz(x87) q[8];\ncx q[8], q[7];\nry(x88) q[9];\nrz(x89) q[9];\nry(x16) q[10];\nrz(x90) q[10];\ncx q[10], q[9];\nry(x68) q[11];\nrz(x91) q[11];\ncx q[12], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"circuits\": [], \"gradients\": []}"]
["3d1dde02abe951da208ed22501079cfd","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 7, \"target\": 5}]}","{\"states\": [6, 7], \"expectation_value\": -11.535494827277759, \"params\": [[[0.48750000000000004, 0.17320000000000002], [0.4827, 0.1693], [0.48900000000000005, -0.17350000000000002], [0.4753, 0.1752], [0.39990000000000003, -0.1967], [0.792, 0.0019], [0.7888000000000001, 0.0019], [0.7876000000000001, 0.0018000000000000002]], [[0.4883, 0.0046], [0.4828, 0.0079], [0.4822, 0.0088], [0.4762, 0.009600000000000001], [0.3956, 0.0071], [0.7903, 0.0073], [0.7952, 0.0021000000000000003], [0.7852, 0.0081]]], \"bitstrings\": [\"11111001\", \"11111000\"], \"total_optimization_steps\": 80, \"probabilities\": [0.0415282927234211, 0.04169149438228125], \"optimization_time\": 6.036092042922974}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.75 * (Z(6) @ Z(4)) + 3.0 * (Z(7) @ Z(1)) + 3.0 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 3.0 * (Z(7) @ Z(3)) + 2.75 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(6)) + 2.75 * (Z(5) @ Z(7)) + -7.0 * Z(1) + -7.0 * Z(0) + -7.0 * Z(2) + -7.0 * Z(3) + -7.5 * Z(4) + -6.25 * Z(6) + -6.5 * Z(7) + -6.25 * Z(5)",1,8,2,"{\"smallest_eigenvalues\": [-24.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.75, \"smallest_bitstrings\": [\"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.4875) q[0];\nrz(0.1732) q[0];\nrx(0.4827) q[1];\nrz(0.1693) q[1];\nrx(0.489) q[2];\nrz(-0.1735) q[2];\nrx(0.4753) q[3];\nrz(0.1752) q[3];\nrx(0.3999) q[4];\nrz(-0.1967) q[4];\nrx(0.792) q[5];\nrz(0.0019) q[5];\nrx(0.7888) q[6];\nrz(0.0019) q[6];\nrx(0.7876) q[7];\nrz(0.0018) q[7];\nrx(0.4883) q[0];\nrz(0.0046) q[0];\nrx(0.4828) q[1];\nrz(0.0079) q[1];\nrx(0.4822) q[2];\nrz(0.0088) q[2];\nrx(0.4762) q[3];\nrz(0.0096) q[3];\nrx(0.3956) q[4];\nrz(0.0071) q[4];\nrx(0.7903) q[5];\nrz(0.0073) q[5];\nrx(0.7952) q[6];\nrz(0.0021) q[6];\nrx(0.7852) q[7];\nrz(0.0081) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x11) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[0];\nrz(x16) q[0];\nrx(x17) q[1];\nrz(x18) q[1];\nrx(x19) q[2];\nrz(x20) q[2];\nrx(x21) q[3];\nrz(x22) q[3];\nrx(x23) q[4];\nrz(x24) q[4];\nrx(x25) q[5];\nrz(x26) q[5];\nrx(x27) q[6];\nrz(x28) q[6];\nrx(x29) q[7];\nrz(x30) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["15a5f37f6b324be94a7fa874923284e5","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 7, \"target\": 5}]}","{\"states\": [21, 7], \"expectation_value\": -13.068900117607978, \"params\": [[-0.0368, -0.0285, -0.023100000000000002, 0.0407], [0.055900000000000005, 0.0656, 0.0668, 0.0309]], \"bitstrings\": [\"11101010\", \"11111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012280607760290864, 0.012904087046407475], \"optimization_time\": 14.097092151641846}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.75 * (Z(6) @ Z(4)) + 3.0 * (Z(7) @ Z(1)) + 3.0 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 2.75 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(6)) + 2.75 * (Z(5) @ Z(7)) + -7.0 * Z(1) + -7.25 * Z(0) + -7.0 * Z(2) + -7.25 * Z(3) + -7.25 * Z(4) + -6.5 * Z(6) + -6.5 * Z(7) + -6.25 * Z(5)",4,8,4,"{\"smallest_eigenvalues\": [-24.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -22.5, \"smallest_bitstrings\": [\"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2024) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2024) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2024) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2024) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2024) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2024) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.2024) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.2024) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2024) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2024) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(-0.2208) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.2024) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.2208) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.2208) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.2024) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.2208) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.2208) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.2208) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.2024) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.2208) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.2208) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(-0.2208) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.2208) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2208) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.2208) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.2208) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(-0.2208) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(-0.2024) q[5];\ncx q[7], q[5];\nrz(0.5152) q[1];\nrz(0.5336) q[0];\nrz(0.5152) q[2];\nrz(0.5336) q[3];\nrz(0.5336) q[4];\nrz(0.4784) q[6];\nrz(0.4784) q[7];\nrz(0.46) q[5];\nh q[0];\nrz(0.1118) q[0];\nh q[0];\nh q[1];\nrz(0.1118) q[1];\nh q[1];\nh q[2];\nrz(0.1118) q[2];\nh q[2];\nh q[3];\nrz(0.1118) q[3];\nh q[3];\nh q[4];\nrz(0.1118) q[4];\nh q[4];\nh q[5];\nrz(0.1118) q[5];\nh q[5];\nh q[6];\nrz(0.1118) q[6];\nh q[6];\nh q[7];\nrz(0.1118) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.1568) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1568) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1568) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1568) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1568) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1568) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.1568) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1568) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1568) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.1568) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(-0.171) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.1568) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.171) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.171) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.1568) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.171) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.171) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.171) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.1568) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.171) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.171) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(-0.171) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.171) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.171) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.171) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.171) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(-0.171) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(-0.1568) q[5];\ncx q[7], q[5];\nrz(0.399) q[1];\nrz(0.4133) q[0];\nrz(0.399) q[2];\nrz(0.4133) q[3];\nrz(0.4133) q[4];\nrz(0.3705) q[6];\nrz(0.3705) q[7];\nrz(0.3563) q[5];\nh q[0];\nrz(0.1312) q[0];\nh q[0];\nh q[1];\nrz(0.1312) q[1];\nh q[1];\nh q[2];\nrz(0.1312) q[2];\nh q[2];\nh q[3];\nrz(0.1312) q[3];\nh q[3];\nh q[4];\nrz(0.1312) q[4];\nh q[4];\nh q[5];\nrz(0.1312) q[5];\nh q[5];\nh q[6];\nrz(0.1312) q[6];\nh q[6];\nh q[7];\nrz(0.1312) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.1271) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1271) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1271) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1271) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1271) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1271) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.1271) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1271) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1271) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.1271) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(-0.1386) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.1271) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.1386) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.1386) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.1271) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.1386) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.1386) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.1386) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.1271) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.1386) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.1386) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(-0.1386) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.1386) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.1386) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.1386) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.1386) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(-0.1386) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(-0.1271) q[5];\ncx q[7], q[5];\nrz(0.3234) q[1];\nrz(0.335) q[0];\nrz(0.3234) q[2];\nrz(0.335) q[3];\nrz(0.335) q[4];\nrz(0.3003) q[6];\nrz(0.3003) q[7];\nrz(0.2888) q[5];\nh q[0];\nrz(0.1336) q[0];\nh q[0];\nh q[1];\nrz(0.1336) q[1];\nh q[1];\nh q[2];\nrz(0.1336) q[2];\nh q[2];\nh q[3];\nrz(0.1336) q[3];\nh q[3];\nh q[4];\nrz(0.1336) q[4];\nh q[4];\nh q[5];\nrz(0.1336) q[5];\nh q[5];\nh q[6];\nrz(0.1336) q[6];\nh q[6];\nh q[7];\nrz(0.1336) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.2238) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2238) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2238) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.2238) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.2238) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2238) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.2238) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.2238) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.2238) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.2238) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(0.2442) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.2238) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.2442) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.2442) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.2238) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(0.2442) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.2442) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.2442) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.2238) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.2442) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.2442) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(0.2442) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.2442) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.2442) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.2442) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.2442) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.2442) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(0.2238) q[5];\ncx q[7], q[5];\nrz(-0.5698) q[1];\nrz(-0.5901) q[0];\nrz(-0.5698) q[2];\nrz(-0.5901) q[3];\nrz(-0.5901) q[4];\nrz(-0.5291) q[6];\nrz(-0.5291) q[7];\nrz(-0.5088) q[5];\nh q[0];\nrz(0.0618) q[0];\nh q[0];\nh q[1];\nrz(0.0618) q[1];\nh q[1];\nh q[2];\nrz(0.0618) q[2];\nh q[2];\nh q[3];\nrz(0.0618) q[3];\nh q[3];\nh q[4];\nrz(0.0618) q[4];\nh q[4];\nh q[5];\nrz(0.0618) q[5];\nh q[5];\nh q[6];\nrz(0.0618) q[6];\nh q[6];\nh q[7];\nrz(0.0618) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x3) q[3];\nrz(x3) q[4];\nrz(x4) q[6];\nrz(x4) q[7];\nrz(x5) q[5];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x7) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x7) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x7) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x7) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x7) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x8) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x7) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x8) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x8) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x7) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x8) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x8) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x8) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x7) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x8) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x8) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x8) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x8) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x8) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x8) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(x7) q[5];\ncx q[7], q[5];\nrz(x9) q[1];\nrz(x10) q[0];\nrz(x9) q[2];\nrz(x10) q[3];\nrz(x10) q[4];\nrz(x11) q[6];\nrz(x11) q[7];\nrz(x12) q[5];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\nh q[7];\nrz(x13) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x14) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x14) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x14) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x14) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x14) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x14) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x14) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x14) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x14) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x14) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x15) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x14) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x15) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x15) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x14) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x15) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x15) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x15) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x14) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x15) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x15) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(x15) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x15) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x15) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x15) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x15) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x15) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(x14) q[5];\ncx q[7], q[5];\nrz(x16) q[1];\nrz(x17) q[0];\nrz(x16) q[2];\nrz(x17) q[3];\nrz(x17) q[4];\nrz(x18) q[6];\nrz(x18) q[7];\nrz(x19) q[5];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nh q[7];\nrz(x20) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x21) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x21) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x21) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x21) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x21) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x21) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x21) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x21) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x21) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x21) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x22) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x21) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x22) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x22) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x21) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x22) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x22) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x22) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x21) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x22) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x22) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(x22) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x22) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x22) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x22) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x22) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x22) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(x21) q[5];\ncx q[7], q[5];\nrz(x23) q[1];\nrz(x24) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x24) q[4];\nrz(x25) q[6];\nrz(x25) q[7];\nrz(x26) q[5];\nh q[0];\nrz(x27) q[0];\nh q[0];\nh q[1];\nrz(x27) q[1];\nh q[1];\nh q[2];\nrz(x27) q[2];\nh q[2];\nh q[3];\nrz(x27) q[3];\nh q[3];\nh q[4];\nrz(x27) q[4];\nh q[4];\nh q[5];\nrz(x27) q[5];\nh q[5];\nh q[6];\nrz(x27) q[6];\nh q[6];\nh q[7];\nrz(x27) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["-2812752969993244451","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[9, 4, 5, 7], [0, 1, 2, 3, 9, 10], [9, 2, 5], [8, 1, 5, 0], [2, 4, 5, 6, 8, 10], [8, 0, 10, 3], [1, 4, 5, 7, 8], [1, 3, 8, 9, 10], [2, 3, 7, 8, 10], [0, 2, 4, 7, 8, 9, 10], [0, 2, 3, 6, 7, 10], [0, 1, 3, 7, 8]]}","{\"states\": [2017, 2025], \"expectation_value\": -2.5565845933768654, \"params\": [[[3.1391, 0.0055000000000000005], [3.1441000000000003, 0.0059], [3.1388000000000003, 0.0066], [3.1390000000000002, 0.006500000000000001], [3.1389, 0.0071], [3.1394, 0.0063], [0.025, 0.0095], [1.6531, 0.0067], [0.0013000000000000002, 0.006200000000000001], [-0.009600000000000001, 0.0091], [2.9392, 0.005200000000000001]]], \"bitstrings\": [\"00000011110\", \"00000010110\"], \"total_optimization_steps\": 430, \"probabilities\": [0.45410756750440834, 0.5355028112337105], \"optimization_time\": 10.998116731643677}","0.10714285714285714 * (Z(9) @ Z(4)) + 0.16666666666666669 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(9)) + 0.15714285714285714 * (Z(7) @ Z(4)) + 0.10714285714285714 * (Z(7) @ Z(9)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.023809523809523808 * (Z(0) @ Z(4)) + 0.05714285714285714 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.10714285714285715 * (Z(0) @ Z(7)) + 0.05 * (Z(1) @ Z(4)) + 0.08333333333333334 * (Z(1) @ Z(9)) + 0.13333333333333333 * (Z(1) @ Z(5)) + 0.1 * (Z(1) @ Z(7)) + 0.16666666666666669 * (Z(1) @ Z(0)) + 0.05714285714285714 * (Z(2) @ Z(4)) + 0.2238095238095238 * (Z(2) @ Z(9)) + 0.19999999999999998 * (Z(2) @ Z(5)) + 0.10714285714285715 * (Z(2) @ Z(7)) + 0.09047619047619047 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(9)) + 0.13333333333333336 * (Z(3) @ Z(7)) + 0.2 * (Z(3) @ Z(0)) + 0.13333333333333336 * (Z(3) @ Z(1)) + 0.11666666666666667 * (Z(3) @ Z(2)) + 0.05714285714285714 * (Z(10) @ Z(4)) + 0.10714285714285715 * (Z(10) @ Z(9)) + 0.03333333333333333 * (Z(10) @ Z(5)) + 0.10714285714285715 * (Z(10) @ Z(7)) + 0.1738095238095238 * (Z(10) @ Z(0)) + 0.08333333333333334 * (Z(10) @ Z(1)) + 0.1738095238095238 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(3)) + 0.10714285714285715 * (Z(8) @ Z(4)) + 0.07380952380952381 * (Z(8) @ Z(9)) + 0.16666666666666669 * (Z(8) @ Z(5)) + 0.1738095238095238 * (Z(8) @ Z(7)) + 0.24047619047619045 * (Z(8) @ Z(0)) + 0.23333333333333334 * (Z(8) @ Z(1)) + 0.10714285714285715 * (Z(8) @ Z(2)) + 0.23333333333333334 * (Z(8) @ Z(3)) + 0.24047619047619048 * (Z(8) @ Z(10)) + 0.03333333333333333 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(6) @ Z(7)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.06666666666666667 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(10)) + 0.03333333333333333 * (Z(6) @ Z(8)) + 0.37976190476190486 * Z(4) + 0.5464285714285716 * Z(9) + 0.6000000000000002 * Z(5) + 0.5797619047619048 * Z(7) + 0.5880952380952383 * Z(0) + 0.5083333333333335 * Z(1) + 0.5880952380952381 * Z(2) + 0.5916666666666669 * Z(3) + 0.6464285714285716 * Z(10) + 0.8047619047619051 * Z(8) + 0.16666666666666666 * Z(6)",1,11,1,"{\"smallest_eigenvalues\": [-2.6071428571428585], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.573809523809524, \"smallest_bitstrings\": [\"00000010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(3.1391) q[0];\nrz(0.0055) q[0];\nrx(3.1441) q[1];\nrz(0.0059) q[1];\nrx(3.1388) q[2];\nrz(0.0066) q[2];\nrx(3.139) q[3];\nrz(0.0065) q[3];\nrx(3.1389) q[4];\nrz(0.0071) q[4];\nrx(3.1394) q[5];\nrz(0.0063) q[5];\nrx(0.025) q[6];\nrz(0.0095) q[6];\nrx(1.6531) q[7];\nrz(0.0067) q[7];\nrx(0.0013) q[8];\nrz(0.0062) q[8];\nrx(-0.0096) q[9];\nrz(0.0091) q[9];\nrx(2.9392) q[10];\nrz(0.0052) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["725c9b512790b6f65e71b3c284e6ef0c","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [28, 31], \"expectation_value\": -0.3925159082169438, \"params\": [[0.0785], [-0.07830000000000001]], \"bitstrings\": [\"00011\", \"00000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.038638737681090295, 0.038638737681090295], \"optimization_time\": 0.7778782844543457}","-1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3)",5,5,1,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"00000\", \"00011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[2], q[0];\nrz(-0.2355) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.2355) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(0.0785) q[1];\ncx q[0], q[1];\ncx q[4], q[3];\nrz(-0.2355) q[3];\ncx q[4], q[3];\nrz(0.0785) q[2];\nrz(0.0785) q[0];\nrz(0.0785) q[1];\nrz(0.157) q[4];\nrz(-0.157) q[3];\nh q[0];\nrz(-0.1566) q[0];\nh q[0];\nh q[1];\nrz(-0.1566) q[1];\nh q[1];\nh q[2];\nrz(-0.1566) q[2];\nh q[2];\nh q[3];\nrz(-0.1566) q[3];\nh q[3];\nh q[4];\nrz(-0.1566) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[1];\nrz(x2) q[4];\nrz(x3) q[3];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["605742faa50c2e92c07356e058fd303f","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [253, 245], \"expectation_value\": -1.6255434843051237, \"params\": [0.1033, 0.265, 0.6015, 0.0872, 0.5943, 0.07640000000000001, 0.5833, 0.0697, 0.5867, 0.1681, 0.3775, 0.16640000000000002, 0.6042000000000001, 0.202, 0.09910000000000001, 0.27790000000000004, 0.6003000000000001, 0.0838, 0.10590000000000001, 0.2592, 0.6028, 0.1047, 0.5955, 0.081, 0.5869, 0.0854, 0.5924, 0.185, 0.3816, 0.1928, 0.5995, 0.2146, 0.09920000000000001, 0.2781, 0.6007, 0.11170000000000001, 0.0993, 0.25830000000000003, 0.5971000000000001, 0.1057, 0.597, 0.08170000000000001, 0.5858, 0.0998, 0.5924, 0.1729, 0.3811, 0.17350000000000002, 0.5984, 0.2189, 0.0964, 0.27790000000000004, 0.6033000000000001, 0.1394, 0.1038, 0.001, 0.6034, 0.0071, 0.6026, 0.0015, 0.5917, 0.0016, 0.5927, 0.0012000000000000001, 0.38330000000000003, 0.0081, 0.5996, 0.0041, 0.094, 0.007, 0.5988, 0.007200000000000001, 0.19440000000000002, 0.060200000000000004, 0.2023, 0.16160000000000002, -0.051000000000000004, 0.18180000000000002, -0.0236, 0.2427, -0.2127, 0.20420000000000002, 0.2659, 0.1613, 0.1693, 0.0251, 0.2039, 0.21030000000000001, 0.2511, 0.2652, 0.2291, 0.2662, 0.1386, 0.18760000000000002, 0.0806, 0.1797, 0.2019, 0.2548, 0.2675, 0.004, 0.0021000000000000003, 0.0019, 0.0094, 0.0074, 0.0049, 0.0023, 0.0025, 0.0006000000000000001], \"bitstrings\": [\"100000010\", \"100001010\"], \"total_optimization_steps\": 60, \"probabilities\": [0.1328553930412432, 0.19925414974843147], \"optimization_time\": 48.16513419151306}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(6)) + -0.125 * (Z(1) @ Z(6) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(1) @ Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(8) @ Z(2)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(8) @ Z(5)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(8) @ Z(2) @ Z(3)) + -0.125 * (Z(8) @ Z(2) @ Z(5)) + -0.125 * (Z(8) @ Z(5) @ Z(3)) + 0.125 * (Z(8) @ Z(2) @ Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(7)) + 0.25 * (Z(8) @ Z(6)) + 0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(6) @ Z(7)) + -0.25 * Z(0) + 0.125 * Z(1) + 0.125 * Z(2) + -0.125 * Z(3) + -0.125 * Z(4) + 0.25 * Z(5) + 0.125 * Z(6) + -0.25 * Z(7) + 0.125 * Z(8)",18,9,4,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"100001010\", \"010100010\", \"100010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.1033) q[0];\nrz(0.265) q[0];\nrx(0.6015) q[1];\nrz(0.0872) q[1];\nrx(0.5943) q[2];\nrz(0.0764) q[2];\nrx(0.5833) q[3];\nrz(0.0697) q[3];\nrx(0.5867) q[4];\nrz(0.1681) q[4];\nrx(0.3775) q[5];\nrz(0.1664) q[5];\nrx(0.6042) q[6];\nrz(0.202) q[6];\nrx(0.0991) q[7];\nrz(0.2779) q[7];\nrx(0.6003) q[8];\nrz(0.0838) q[8];\ncrz(0.1944) q[8], q[0];\ncrz(-0.2127) q[7], q[8];\ncrz(0.2427) q[6], q[7];\ncrz(-0.0236) q[5], q[6];\ncrz(0.1818) q[4], q[5];\ncrz(-0.051) q[3], q[4];\ncrz(0.1616) q[2], q[3];\ncrz(0.2023) q[1], q[2];\ncrz(0.0602) q[0], q[1];\nrx(0.1059) q[0];\nrz(0.2592) q[0];\nrx(0.6028) q[1];\nrz(0.1047) q[1];\nrx(0.5955) q[2];\nrz(0.081) q[2];\nrx(0.5869) q[3];\nrz(0.0854) q[3];\nrx(0.5924) q[4];\nrz(0.185) q[4];\nrx(0.3816) q[5];\nrz(0.1928) q[5];\nrx(0.5995) q[6];\nrz(0.2146) q[6];\nrx(0.0992) q[7];\nrz(0.2781) q[7];\nrx(0.6007) q[8];\nrz(0.1117) q[8];\ncrz(0.2042) q[8], q[0];\ncrz(0.2652) q[7], q[8];\ncrz(0.2511) q[6], q[7];\ncrz(0.2103) q[5], q[6];\ncrz(0.2039) q[4], q[5];\ncrz(0.0251) q[3], q[4];\ncrz(0.1693) q[2], q[3];\ncrz(0.1613) q[1], q[2];\ncrz(0.2659) q[0], q[1];\nrx(0.0993) q[0];\nrz(0.2583) q[0];\nrx(0.5971) q[1];\nrz(0.1057) q[1];\nrx(0.597) q[2];\nrz(0.0817) q[2];\nrx(0.5858) q[3];\nrz(0.0998) q[3];\nrx(0.5924) q[4];\nrz(0.1729) q[4];\nrx(0.3811) q[5];\nrz(0.1735) q[5];\nrx(0.5984) q[6];\nrz(0.2189) q[6];\nrx(0.0964) q[7];\nrz(0.2779) q[7];\nrx(0.6033) q[8];\nrz(0.1394) q[8];\ncrz(0.2291) q[8], q[0];\ncrz(0.2675) q[7], q[8];\ncrz(0.2548) q[6], q[7];\ncrz(0.2019) q[5], q[6];\ncrz(0.1797) q[4], q[5];\ncrz(0.0806) q[3], q[4];\ncrz(0.1876) q[2], q[3];\ncrz(0.1386) q[1], q[2];\ncrz(0.2662) q[0], q[1];\nrx(0.1038) q[0];\nrz(0.001) q[0];\nrx(0.6034) q[1];\nrz(0.0071) q[1];\nrx(0.6026) q[2];\nrz(0.0015) q[2];\nrx(0.5917) q[3];\nrz(0.0016) q[3];\nrx(0.5927) q[4];\nrz(0.0012) q[4];\nrx(0.3833) q[5];\nrz(0.0081) q[5];\nrx(0.5996) q[6];\nrz(0.0041) q[6];\nrx(0.094) q[7];\nrz(0.007) q[7];\nrx(0.5988) q[8];\nrz(0.0072) q[8];\ncrz(0.004) q[8], q[0];\ncrz(0.0006) q[7], q[8];\ncrz(0.0025) q[6], q[7];\ncrz(0.0023) q[5], q[6];\ncrz(0.0049) q[4], q[5];\ncrz(0.0074) q[3], q[4];\ncrz(0.0094) q[2], q[3];\ncrz(0.0019) q[1], q[2];\ncrz(0.0021) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\ncrz(x45) q[8], q[0];\ncrz(x46) q[7], q[8];\ncrz(x47) q[6], q[7];\ncrz(x48) q[5], q[6];\ncrz(x49) q[4], q[5];\ncrz(x50) q[3], q[4];\ncrz(x51) q[2], q[3];\ncrz(x52) q[1], q[2];\ncrz(x53) q[0], q[1];\nrx(x54) q[0];\nrz(x55) q[0];\nrx(x56) q[1];\nrz(x57) q[1];\nrx(x58) q[2];\nrz(x59) q[2];\nrx(x60) q[3];\nrz(x61) q[3];\nrx(x35) q[4];\nrz(x62) q[4];\nrx(x63) q[5];\nrz(x64) q[5];\nrx(x65) q[6];\nrz(x66) q[6];\nrx(x67) q[7];\nrz(x15) q[7];\nrx(x68) q[8];\nrz(x69) q[8];\ncrz(x70) q[8], q[0];\ncrz(x71) q[7], q[8];\ncrz(x72) q[6], q[7];\ncrz(x73) q[5], q[6];\ncrz(x74) q[4], q[5];\ncrz(x75) q[3], q[4];\ncrz(x76) q[2], q[3];\ncrz(x77) q[1], q[2];\ncrz(x78) q[0], q[1];\nrx(x79) q[0];\nrz(x80) q[0];\nrx(x81) q[1];\nrz(x82) q[1];\nrx(x83) q[2];\nrz(x84) q[2];\nrx(x85) q[3];\nrz(x86) q[3];\nrx(x87) q[4];\nrz(x88) q[4];\nrx(x89) q[5];\nrz(x90) q[5];\nrx(x91) q[6];\nrz(x92) q[6];\nrx(x93) q[7];\nrz(x94) q[7];\nrx(x95) q[8];\nrz(x96) q[8];\ncrz(x97) q[8], q[0];\ncrz(x98) q[7], q[8];\ncrz(x99) q[6], q[7];\ncrz(x100) q[5], q[6];\ncrz(x101) q[4], q[5];\ncrz(x102) q[3], q[4];\ncrz(x103) q[2], q[3];\ncrz(x104) q[1], q[2];\ncrz(x105) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["61fc58e7ea5c0b858181cef6a00713e4","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 1}, {\"weight\": 18, \"source\": 0, \"target\": 6}, {\"weight\": 6, \"source\": 2, \"target\": 3}, {\"weight\": 13, \"source\": 2, \"target\": 5}, {\"weight\": 19, \"source\": 2, \"target\": 7}, {\"weight\": 16, \"source\": 3, \"target\": 5}, {\"weight\": 12, \"source\": 3, \"target\": 7}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 3, \"source\": 6, \"target\": 7}]}","{\"states\": [444, 188], \"expectation_value\": -29.483526601030313, \"params\": [[0.0284, -0.00030000000000000003, -0.0083, -0.0019], [-0.081, -0.0621, -0.050300000000000004, -0.045000000000000005]], \"bitstrings\": [\"001000011\", \"101000011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.007840605825558768, 0.01115486990774745], \"optimization_time\": 9.857473134994507}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) + -2.5 * Z(0) + 15.5 * Z(3) + 12.0 * Z(2) + 18.5 * Z(4) + 15.0 * Z(6) + 17.0 * Z(5) + 0.5 * Z(7) + 6.0 * Z(8)",1,9,4,"{\"smallest_eigenvalues\": [-86.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -74.0, \"smallest_bitstrings\": [\"101000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.2556) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(0.2556) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(0.2556) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(0.2556) q[4];\ncx q[2], q[4];\ncx q[2], q[6];\nrz(0.2556) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.2556) q[6];\ncx q[4], q[6];\ncx q[3], q[5];\nrz(0.2556) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(0.2556) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(0.2556) q[5];\ncx q[6], q[5];\ncx q[3], q[7];\nrz(0.2556) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.2556) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(0.2556) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(0.2556) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(0.2556) q[8];\ncx q[6], q[8];\nrz(0.5112) q[1];\nrz(-0.142) q[0];\nrz(0.8804) q[3];\nrz(0.6816) q[2];\nrz(1.0508) q[4];\nrz(0.852) q[6];\nrz(0.9656) q[5];\nrz(0.0284) q[7];\nrz(0.3408) q[8];\nh q[0];\nrz(-0.162) q[0];\nh q[0];\nh q[1];\nrz(-0.162) q[1];\nh q[1];\nh q[2];\nrz(-0.162) q[2];\nh q[2];\nh q[3];\nrz(-0.162) q[3];\nh q[3];\nh q[4];\nrz(-0.162) q[4];\nh q[4];\nh q[5];\nrz(-0.162) q[5];\nh q[5];\nh q[6];\nrz(-0.162) q[6];\nh q[6];\nh q[7];\nrz(-0.162) q[7];\nh q[7];\nh q[8];\nrz(-0.162) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.0027) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0027) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(-0.0027) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(-0.0027) q[4];\ncx q[2], q[4];\ncx q[2], q[6];\nrz(-0.0027) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0027) q[6];\ncx q[4], q[6];\ncx q[3], q[5];\nrz(-0.0027) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.0027) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(-0.0027) q[5];\ncx q[6], q[5];\ncx q[3], q[7];\nrz(-0.0027) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.0027) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(-0.0027) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(-0.0027) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(-0.0027) q[8];\ncx q[6], q[8];\nrz(-0.0054) q[1];\nrz(0.0015) q[0];\nrz(-0.0093) q[3];\nrz(-0.0072) q[2];\nrz(-0.0111) q[4];\nrz(-0.009) q[6];\nrz(-0.0102) q[5];\nrz(-0.0003) q[7];\nrz(-0.0036) q[8];\nh q[0];\nrz(-0.1242) q[0];\nh q[0];\nh q[1];\nrz(-0.1242) q[1];\nh q[1];\nh q[2];\nrz(-0.1242) q[2];\nh q[2];\nh q[3];\nrz(-0.1242) q[3];\nh q[3];\nh q[4];\nrz(-0.1242) q[4];\nh q[4];\nh q[5];\nrz(-0.1242) q[5];\nh q[5];\nh q[6];\nrz(-0.1242) q[6];\nh q[6];\nh q[7];\nrz(-0.1242) q[7];\nh q[7];\nh q[8];\nrz(-0.1242) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.0747) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0747) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(-0.0747) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(-0.0747) q[4];\ncx q[2], q[4];\ncx q[2], q[6];\nrz(-0.0747) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0747) q[6];\ncx q[4], q[6];\ncx q[3], q[5];\nrz(-0.0747) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.0747) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(-0.0747) q[5];\ncx q[6], q[5];\ncx q[3], q[7];\nrz(-0.0747) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.0747) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(-0.0747) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(-0.0747) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(-0.0747) q[8];\ncx q[6], q[8];\nrz(-0.1494) q[1];\nrz(0.0415) q[0];\nrz(-0.2573) q[3];\nrz(-0.1992) q[2];\nrz(-0.3071) q[4];\nrz(-0.249) q[6];\nrz(-0.2822) q[5];\nrz(-0.0083) q[7];\nrz(-0.0996) q[8];\nh q[0];\nrz(-0.1006) q[0];\nh q[0];\nh q[1];\nrz(-0.1006) q[1];\nh q[1];\nh q[2];\nrz(-0.1006) q[2];\nh q[2];\nh q[3];\nrz(-0.1006) q[3];\nh q[3];\nh q[4];\nrz(-0.1006) q[4];\nh q[4];\nh q[5];\nrz(-0.1006) q[5];\nh q[5];\nh q[6];\nrz(-0.1006) q[6];\nh q[6];\nh q[7];\nrz(-0.1006) q[7];\nh q[7];\nh q[8];\nrz(-0.1006) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.0171) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0171) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(-0.0171) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(-0.0171) q[4];\ncx q[2], q[4];\ncx q[2], q[6];\nrz(-0.0171) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0171) q[6];\ncx q[4], q[6];\ncx q[3], q[5];\nrz(-0.0171) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.0171) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(-0.0171) q[5];\ncx q[6], q[5];\ncx q[3], q[7];\nrz(-0.0171) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.0171) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(-0.0171) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(-0.0171) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(-0.0171) q[8];\ncx q[6], q[8];\nrz(-0.0342) q[1];\nrz(0.0095) q[0];\nrz(-0.0589) q[3];\nrz(-0.0456) q[2];\nrz(-0.0703) q[4];\nrz(-0.057) q[6];\nrz(-0.0646) q[5];\nrz(-0.0019) q[7];\nrz(-0.0228) q[8];\nh q[0];\nrz(-0.09) q[0];\nh q[0];\nh q[1];\nrz(-0.09) q[1];\nh q[1];\nh q[2];\nrz(-0.09) q[2];\nh q[2];\nh q[3];\nrz(-0.09) q[3];\nh q[3];\nh q[4];\nrz(-0.09) q[4];\nh q[4];\nh q[5];\nrz(-0.09) q[5];\nh q[5];\nh q[6];\nrz(-0.09) q[6];\nh q[6];\nh q[7];\nrz(-0.09) q[7];\nh q[7];\nh q[8];\nrz(-0.09) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[6];\nrz(x7) q[5];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x11) q[4];\ncx q[2], q[4];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x11) q[6];\ncx q[4], q[6];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x11) q[5];\ncx q[6], q[5];\ncx q[3], q[7];\nrz(x11) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(x11) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x11) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x11) q[8];\ncx q[6], q[8];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[3];\nrz(x15) q[2];\nrz(x16) q[4];\nrz(x17) q[6];\nrz(x18) q[5];\nrz(x19) q[7];\nrz(x20) q[8];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x22) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x22) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x22) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x22) q[4];\ncx q[2], q[4];\ncx q[2], q[6];\nrz(x22) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x22) q[6];\ncx q[4], q[6];\ncx q[3], q[5];\nrz(x22) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x22) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x22) q[5];\ncx q[6], q[5];\ncx q[3], q[7];\nrz(x22) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x22) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(x22) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x22) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x22) q[8];\ncx q[6], q[8];\nrz(x23) q[1];\nrz(x24) q[0];\nrz(x25) q[3];\nrz(x26) q[2];\nrz(x27) q[4];\nrz(x28) q[6];\nrz(x29) q[5];\nrz(x30) q[7];\nrz(x31) q[8];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nh q[8];\nrz(x32) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x33) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x33) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x33) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x33) q[4];\ncx q[2], q[4];\ncx q[2], q[6];\nrz(x33) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x33) q[6];\ncx q[4], q[6];\ncx q[3], q[5];\nrz(x33) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x33) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x33) q[5];\ncx q[6], q[5];\ncx q[3], q[7];\nrz(x33) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x33) q[7];\ncx q[5], q[7];\ncx q[1], q[8];\nrz(x33) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x33) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x33) q[8];\ncx q[6], q[8];\nrz(x34) q[1];\nrz(x35) q[0];\nrz(x36) q[3];\nrz(x37) q[2];\nrz(x38) q[4];\nrz(x39) q[6];\nrz(x40) q[5];\nrz(x41) q[7];\nrz(x42) q[8];\nh q[0];\nrz(x43) q[0];\nh q[0];\nh q[1];\nrz(x43) q[1];\nh q[1];\nh q[2];\nrz(x43) q[2];\nh q[2];\nh q[3];\nrz(x43) q[3];\nh q[3];\nh q[4];\nrz(x43) q[4];\nh q[4];\nh q[5];\nrz(x43) q[5];\nh q[5];\nh q[6];\nrz(x43) q[6];\nh q[6];\nh q[7];\nrz(x43) q[7];\nh q[7];\nh q[8];\nrz(x43) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["63ad1599f1fdc150fea495e3f4eaeb55","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [598, 854], \"expectation_value\": -2.1070322920001736, \"params\": [[[0.5962000000000001, 0.08320000000000001], [0.6042000000000001, 0.0553], [-0.0145, 0.0184], [0.6074, 0.0804], [0.364, 0.3007], [0.6048, 0.18530000000000002], [0.5693, 0.0674], [0.1887, 0.5939], [0.6066, 0.5947], [0.5972000000000001, 0.0878]], [[0.5966, 0.14600000000000002], [0.6026, 0.06570000000000001], [0.038900000000000004, 0.0892], [0.5995, 0.4859], [0.3325, 0.5974], [0.6018, 0.6023000000000001], [0.5929, 0.5378000000000001], [0.604, 0.6068], [0.5992000000000001, 0.5166000000000001], [0.6003000000000001, 0.6065]], [[0.3798, -0.006], [0.6059, -0.0017000000000000001], [-0.0651, -0.0671], [0.5971000000000001, 0.605], [0.34890000000000004, 0.5975], [0.5995, 0.6094], [0.18460000000000001, 0.6061000000000001], [0.3791, 0.6033000000000001], [0.1439, 0.5640000000000001], [0.3905, 0.6069]]], \"bitstrings\": [\"0110101001\", \"0010101001\"], \"total_optimization_steps\": 60, \"probabilities\": [0.11574955966862066, 0.1868809885959291], \"optimization_time\": 10.05843734741211}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(3) @ Z(8)) + 0.25 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(3) @ Z(8)) + 0.25 * (Z(8) @ Z(4)) + 0.25 * (Z(9) @ Z(4)) + 0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(8) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(9) @ Z(1)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(9) @ Z(7)) + -0.125 * (Z(7) @ Z(1) @ Z(5)) + -0.125 * (Z(9) @ Z(1) @ Z(5)) + -0.125 * (Z(9) @ Z(7) @ Z(1)) + -0.125 * (Z(9) @ Z(7) @ Z(5)) + 0.125 * (Z(9) @ Z(7) @ Z(1) @ Z(5)) + 0.125 * Z(0) + 0.125 * Z(1) + -0.75 * Z(2) + 0.125 * Z(3) + 0.125 * Z(4) + 0.25 * Z(5) + -0.25 * Z(6) + -0.125 * Z(7) + 0.0 * Z(8) + 0.125 * Z(9)",15,10,3,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 14, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"1010001001\", \"0010011010\", \"0010011001\", \"0010010110\", \"0011001001\", \"0011000110\", \"0011000101\", \"0010111000\", \"1010000110\", \"0010100110\", \"0011100100\", \"0010101100\", \"0010101001\", \"0110101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.5962) q[0];\nry(0.6042) q[1];\nry(-0.0145) q[2];\nry(0.6074) q[3];\nry(0.364) q[4];\nry(0.6048) q[5];\nry(0.5693) q[6];\nry(0.1887) q[7];\nry(0.6066) q[8];\nry(0.5972) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0832) q[0];\nry(0.0553) q[1];\nry(0.0184) q[2];\nry(0.0804) q[3];\nry(0.3007) q[4];\nry(0.1853) q[5];\nry(0.0674) q[6];\nry(0.5939) q[7];\nry(0.5947) q[8];\nry(0.0878) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.5966) q[0];\nry(0.6026) q[1];\nry(0.0389) q[2];\nry(0.5995) q[3];\nry(0.3325) q[4];\nry(0.6018) q[5];\nry(0.5929) q[6];\nry(0.604) q[7];\nry(0.5992) q[8];\nry(0.6003) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.146) q[0];\nry(0.0657) q[1];\nry(0.0892) q[2];\nry(0.4859) q[3];\nry(0.5974) q[4];\nry(0.6023) q[5];\nry(0.5378) q[6];\nry(0.6068) q[7];\nry(0.5166) q[8];\nry(0.6065) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.3798) q[0];\nry(0.6059) q[1];\nry(-0.0651) q[2];\nry(0.5971) q[3];\nry(0.3489) q[4];\nry(0.5995) q[5];\nry(0.1846) q[6];\nry(0.3791) q[7];\nry(0.1439) q[8];\nry(0.3905) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.006) q[0];\nry(-0.0017) q[1];\nry(-0.0671) q[2];\nry(0.605) q[3];\nry(0.5975) q[4];\nry(0.6094) q[5];\nry(0.6061) q[6];\nry(0.6033) q[7];\nry(0.564) q[8];\nry(0.6069) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x17) q[7];\nry(x18) q[8];\nry(x19) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x30) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x38) q[8];\nry(x39) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x40) q[0];\nry(x41) q[1];\nry(x42) q[2];\nry(x43) q[3];\nry(x44) q[4];\nry(x23) q[5];\nry(x45) q[6];\nry(x46) q[7];\nry(x47) q[8];\nry(x48) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x49) q[0];\nry(x50) q[1];\nry(x51) q[2];\nry(x52) q[3];\nry(x53) q[4];\nry(x54) q[5];\nry(x55) q[6];\nry(x56) q[7];\nry(x57) q[8];\nry(x58) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["b2a86e79e509d0d76748a475959a4d60","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 1, \"target\": 6}, {\"weight\": 13, \"source\": 1, \"target\": 3}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 20, \"source\": 3, \"target\": 4}, {\"weight\": 14, \"source\": 3, \"target\": 5}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 19, \"source\": 4, \"target\": 6}]}","{\"states\": [117, 109], \"expectation_value\": -41.004218316278234, \"params\": null, \"bitstrings\": [\"10001010\", \"10010010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.07928601898643785, 0.4494797943354079], \"optimization_time\": 168.28558111190796}","4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) + 0.5 * Z(0) + 18.5 * Z(1) + 5.5 * Z(3) + 22.0 * Z(4) + 15.0 * Z(5) + 4.5 * Z(6) + 13.5 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-76.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -66.0, \"smallest_bitstrings\": [\"10010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[4];\nry(-0.2874) q[1];\nry(-19.9672) q[5];\nry(0.2906) q[7];\ncry(-15.4417) q[7], q[4];\ncry(-15.6787) q[7], q[1];\nry(1.8924) q[2];\nry(1.3648) q[3];\nry(0.0504) q[6];\ncry(0.0242) q[3], q[6];\ncry(0.0277) q[2], q[6];\ncry(1.1811) q[3], q[5];\ncry(-0.0439) q[2], q[5];\ncry(0.4667) q[7], q[5];\ncry(0.43) q[0], q[5];\ncry(-1.4683) q[1], q[0];\ncry(-9.1361) q[3], q[2];\ncry(3.7295) q[5], q[2];\ncry(-1.3692) q[7], q[2];\ncry(-1.6724) q[7], q[6];\ncry(-1.7959) q[6], q[4];\ncry(-0.9003) q[2], q[4];\ncry(-0.2038) q[3], q[4];\ncry(0.6107) q[5], q[4];\ncry(1.1166) q[1], q[4];\ncry(-0.9303) q[2], q[1];\ncry(-0.4927) q[2], q[0];\ncry(1.979) q[6], q[1];\ncry(-0.4589) q[1], q[5];\ncry(0.1191) q[3], q[1];\ncry(0.6854) q[4], q[1];\ncry(-0.8049) q[5], q[1];\ncry(0.0972) q[4], q[7];\ncry(-0.1548) q[3], q[7];\ncry(-1.6464) q[6], q[2];\ncry(-0.1196) q[5], q[0];\ncry(0.2092) q[4], q[5];\ncry(0.4558) q[0], q[4];\ncry(-0.8261) q[6], q[0];\nry(0.1601) q[0];\ncry(-0.1384) q[7], q[0];\ncry(0.1116) q[3], q[0];\ncry(1.0107) q[0], q[6];\ncry(-1.1319) q[0], q[7];\ncry(-0.7143) q[2], q[7];\ncry(0.1992) q[1], q[7];\ncry(0.4474) q[5], q[7];\ncry(-0.1103) q[1], q[2];\ncry(0.087) q[4], q[2];\ncry(0.0755) q[1], q[6];\ncry(-0.0834) q[5], q[6];\ncry(0.068) q[4], q[0];\ncry(-2.8124) q[6], q[7];\ncry(-0.8904) q[4], q[6];\ncry(-0.4233) q[6], q[5];\ncry(-3.0725) q[4], q[3];\ncry(-0.0439) q[5], q[3];\ncry(2.8571) q[0], q[1];\ncry(-0.2051) q[0], q[2];\ncry(-0.001) q[2], q[3];\ncry(0.0171) q[7], q[3];\ncry(-0.019) q[1], q[3];\ncry(0.0433) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}",{"$cut":{"chars":137570,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nry(-0.2874) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nry(-0.2874) q[1];\\nry(-19.9672) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nry(-0.2874) q[1];\\nry(-19.9672) q[5];\\nry(0.2906) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nry(-0.2874) q[1];\\nry(-19.9672) q[5];\\nry(0.2906) q[7];\\ncry(-15.4417) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nry(-0.2874) q[1];\\nry(-19.9672) q[5];\\nry(0.2906) q[7];\\ncry(-15.4417) q[7], q[4];\\ncry(-15.6787) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nry(-0.2874) q[1];\\nry(-19.9672) q[5];\\nry(0.2906) q[7];\\ncry(-15.4417) q[7], q[4];\\ncry(-15.6787) q[7], q[1];\\nry(1.8924) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nry(-0.2874) q[1];\\nry(-19.9672) q[5];\\nry(0.2906) q[7];\\ncry(-15.4417) q[7], q[4];\\ncry(-15.6787) q[7], q[1];\\nry(1.8924) q[2];\\nry(1.3648) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nry(-0.2874) q[1];\\nry(-19.9672) q[5];\\nry(0.2906) q[7];\\ncry(-15.4417) q[7], q[4];\\ncry(-15.6787) q[7], q[1];\\nry(1.8924) q[2];\\nry(1.3648) q[3];\\nry(0.0504) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(34.778) q[4];\\nry(-0.2874) q[1];\\nry(-19.9672) q[5];\\nry(0.2906) q[7];\\ncry(-15.4417) q[7], q[4];\\ncry(-15.6787) q[7], q[1];\\nry(1.8924) q[2];\\nry(1.3648) q[3];\\nry("}}]
["dc8ac5f82febba9dcace181eb5c76eb3","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [22, 21], \"expectation_value\": -0.9068187136822208, \"params\": [[-0.061700000000000005, -0.0651, -0.0375, -0.0675], [0.06910000000000001, 0.07680000000000001, 0.0591, 0.0636]], \"bitstrings\": [\"101001\", \"101010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.028953200423320346, 0.030206701917055392], \"optimization_time\": 5.165670394897461}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4)",1,6,4,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"101001\", \"101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0617) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0617) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0617) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0617) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0617) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0617) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.0617) q[4];\ncx q[5], q[4];\nrz(0.0617) q[1];\nrz(0.1234) q[0];\nrz(0.1851) q[2];\nrz(0.0617) q[3];\nrz(0.0617) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1382) q[0];\nh q[0];\nh q[1];\nrz(0.1382) q[1];\nh q[1];\nh q[2];\nrz(0.1382) q[2];\nh q[2];\nh q[3];\nrz(0.1382) q[3];\nh q[3];\nh q[4];\nrz(0.1382) q[4];\nh q[4];\nh q[5];\nrz(0.1382) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0651) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0651) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0651) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0651) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0651) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0651) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.0651) q[4];\ncx q[5], q[4];\nrz(0.0651) q[1];\nrz(0.1302) q[0];\nrz(0.1953) q[2];\nrz(0.0651) q[3];\nrz(0.0651) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1536) q[0];\nh q[0];\nh q[1];\nrz(0.1536) q[1];\nh q[1];\nh q[2];\nrz(0.1536) q[2];\nh q[2];\nh q[3];\nrz(0.1536) q[3];\nh q[3];\nh q[4];\nrz(0.1536) q[4];\nh q[4];\nh q[5];\nrz(0.1536) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0375) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0375) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0375) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0375) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0375) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0375) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.0375) q[4];\ncx q[5], q[4];\nrz(0.0375) q[1];\nrz(0.075) q[0];\nrz(0.1125) q[2];\nrz(0.0375) q[3];\nrz(0.0375) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1182) q[0];\nh q[0];\nh q[1];\nrz(0.1182) q[1];\nh q[1];\nh q[2];\nrz(0.1182) q[2];\nh q[2];\nh q[3];\nrz(0.1182) q[3];\nh q[3];\nh q[4];\nrz(0.1182) q[4];\nh q[4];\nh q[5];\nrz(0.1182) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0675) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0675) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0675) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0675) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0675) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0675) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.0675) q[4];\ncx q[5], q[4];\nrz(0.0675) q[1];\nrz(0.135) q[0];\nrz(0.2025) q[2];\nrz(0.0675) q[3];\nrz(0.0675) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1272) q[0];\nh q[0];\nh q[1];\nrz(0.1272) q[1];\nh q[1];\nh q[2];\nrz(0.1272) q[2];\nh q[2];\nh q[3];\nrz(0.1272) q[3];\nh q[3];\nh q[4];\nrz(0.1272) q[4];\nh q[4];\nh q[5];\nrz(0.1272) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x1) q[3];\nrz(x1) q[5];\nrz(x4) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\nrz(x7) q[1];\nrz(x8) q[0];\nrz(x9) q[2];\nrz(x7) q[3];\nrz(x7) q[5];\nrz(x4) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x11) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x11) q[4];\ncx q[5], q[4];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[2];\nrz(x12) q[3];\nrz(x12) q[5];\nrz(x4) q[4];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x16) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x16) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x16) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x16) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x16) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x16) q[4];\ncx q[5], q[4];\nrz(x17) q[1];\nrz(x18) q[0];\nrz(x19) q[2];\nrz(x17) q[3];\nrz(x17) q[5];\nrz(x4) q[4];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["-1842749888090132038","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 1, 2, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 6, 8], [0, 1, 4, 5, 8], [0, 1, 2, 4, 6, 8], [0, 3, 5, 7, 8], [0, 1, 2, 3, 4, 6], [0, 1, 5, 6, 7, 8], [0, 1, 2, 3, 4, 7, 8]]}","{\"states\": [125, 183], \"expectation_value\": -0.39131476465262205, \"params\": [[-0.1741], [0.1763]], \"bitstrings\": [\"110000010\", \"101001000\"], \"total_optimization_steps\": 20, \"probabilities\": [0.002488102914512399, 0.002494914357621294], \"optimization_time\": 6.085558176040649}","0.23095238095238094 * (Z(0) @ Z(1)) + 0.16547619047619047 * (Z(2) @ Z(1)) + 0.14761904761904762 * (Z(2) @ Z(0)) + 0.18214285714285713 * (Z(4) @ Z(1)) + 0.16428571428571428 * (Z(4) @ Z(0)) + 0.13214285714285715 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(1)) + 0.15714285714285714 * (Z(5) @ Z(0)) + 0.041666666666666664 * (Z(5) @ Z(2)) + 0.09166666666666667 * (Z(5) @ Z(4)) + 0.175 * (Z(6) @ Z(1)) + 0.15714285714285714 * (Z(6) @ Z(0)) + 0.14166666666666666 * (Z(6) @ Z(2)) + 0.10833333333333334 * (Z(6) @ Z(4)) + 0.075 * (Z(6) @ Z(5)) + 0.0988095238095238 * (Z(7) @ Z(1)) + 0.13095238095238096 * (Z(7) @ Z(0)) + 0.06547619047619047 * (Z(7) @ Z(2)) + 0.06547619047619047 * (Z(7) @ Z(4)) + 0.125 * (Z(7) @ Z(5)) + 0.075 * (Z(7) @ Z(6)) + 0.10833333333333334 * (Z(3) @ Z(1)) + 0.14047619047619048 * (Z(3) @ Z(0)) + 0.10833333333333334 * (Z(3) @ Z(2)) + 0.075 * (Z(3) @ Z(4)) + 0.06785714285714287 * (Z(3) @ Z(5)) + 0.08452380952380953 * (Z(3) @ Z(6)) + 0.09166666666666667 * (Z(3) @ Z(7)) + 0.19166666666666665 * (Z(8) @ Z(1)) + 0.22380952380952382 * (Z(8) @ Z(0)) + 0.10833333333333334 * (Z(8) @ Z(2)) + 0.125 * (Z(8) @ Z(4)) + 0.1511904761904762 * (Z(8) @ Z(5)) + 0.11785714285714285 * (Z(8) @ Z(6)) + 0.125 * (Z(8) @ Z(7)) + 0.125 * (Z(8) @ Z(3)) + 0.6386904761904761 * Z(1) + 0.6761904761904762 * Z(0) + 0.455357142857143 * Z(2) + 0.4720238095238095 * Z(4) + 0.4172619047619048 * Z(5) + 0.4672619047619047 * Z(6) + 0.38869047619047625 * Z(7) + 0.4005952380952381 * Z(3) + 0.5839285714285712 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-1.7119047619047616], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.7083333333333335, \"smallest_bitstrings\": [\"101001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.0804) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0576) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0514) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.0634) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0572) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.046) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.0435) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0547) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0145) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0319) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.0609) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0547) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0493) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0377) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0261) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.0344) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.0456) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.0228) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(-0.0228) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.0435) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0261) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(-0.0377) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0489) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0377) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.0261) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0236) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(-0.0294) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(-0.0319) q[3];\ncx q[7], q[3];\ncx q[1], q[8];\nrz(-0.0667) q[8];\ncx q[1], q[8];\ncx q[0], q[8];\nrz(-0.0779) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(-0.0377) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(-0.0435) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(-0.0526) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(-0.041) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.0435) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(-0.0435) q[8];\ncx q[3], q[8];\nrz(-0.2224) q[1];\nrz(-0.2354) q[0];\nrz(-0.1586) q[2];\nrz(-0.1644) q[4];\nrz(-0.1453) q[5];\nrz(-0.1627) q[6];\nrz(-0.1353) q[7];\nrz(-0.1395) q[3];\nrz(-0.2033) q[8];\nh q[0];\nrz(0.3526) q[0];\nh q[0];\nh q[1];\nrz(0.3526) q[1];\nh q[1];\nh q[2];\nrz(0.3526) q[2];\nh q[2];\nh q[3];\nrz(0.3526) q[3];\nh q[3];\nh q[4];\nrz(0.3526) q[4];\nh q[4];\nh q[5];\nrz(0.3526) q[5];\nh q[5];\nh q[6];\nrz(0.3526) q[6];\nh q[6];\nh q[7];\nrz(0.3526) q[7];\nh q[7];\nh q[8];\nrz(0.3526) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x3) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x4) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x7) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x9) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x10) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x7) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x12) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x13) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x14) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x15) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x16) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x16) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x6) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x13) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(x12) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x17) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x12) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x13) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x18) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x19) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(x9) q[3];\ncx q[7], q[3];\ncx q[1], q[8];\nrz(x20) q[8];\ncx q[1], q[8];\ncx q[0], q[8];\nrz(x21) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(x12) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(x6) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(x22) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x23) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x6) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(x6) q[8];\ncx q[3], q[8];\nrz(x24) q[1];\nrz(x25) q[0];\nrz(x26) q[2];\nrz(x27) q[4];\nrz(x28) q[5];\nrz(x29) q[6];\nrz(x30) q[7];\nrz(x31) q[3];\nrz(x32) q[8];\nh q[0];\nrz(x33) q[0];\nh q[0];\nh q[1];\nrz(x33) q[1];\nh q[1];\nh q[2];\nrz(x33) q[2];\nh q[2];\nh q[3];\nrz(x33) q[3];\nh q[3];\nh q[4];\nrz(x33) q[4];\nh q[4];\nh q[5];\nrz(x33) q[5];\nh q[5];\nh q[6];\nrz(x33) q[6];\nh q[6];\nh q[7];\nrz(x33) q[7];\nh q[7];\nh q[8];\nrz(x33) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["23c6590e387f05fe94993d0724eddf92","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 18, \"source\": 0, \"target\": 5}, {\"weight\": 15, \"source\": 1, \"target\": 2}, {\"weight\": 15, \"source\": 1, \"target\": 7}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 14, \"source\": 3, \"target\": 5}, {\"weight\": 3, \"source\": 4, \"target\": 5}, {\"weight\": 18, \"source\": 5, \"target\": 7}, {\"weight\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [238, 234], \"expectation_value\": -35.81332369109536, \"params\": [[-0.0373, 0.0009000000000000001, 0.0022, 0.0076], [0.0751, 0.06430000000000001, 0.06330000000000001, 0.0558]], \"bitstrings\": [\"100010001\", \"100010101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012384414610923808, 0.018158016268020154], \"optimization_time\": 8.558731317520142}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(7)) + 18.0 * Z(1) + 5.0 * Z(0) + 16.5 * Z(3) + 12.0 * Z(2) + 2.0 * Z(4) + 16.0 * Z(5) + 6.0 * Z(6) + 22.5 * Z(7) + 0.5 * Z(8)",1,9,4,"{\"smallest_eigenvalues\": [-94.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -80.0, \"smallest_bitstrings\": [\"100010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.3357) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.3357) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(-0.3357) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.3357) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(-0.3357) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.3357) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.3357) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.3357) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.3357) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.3357) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(-0.3357) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.3357) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.3357) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(-0.3357) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(-0.3357) q[8];\ncx q[7], q[8];\nrz(-1.3428) q[1];\nrz(-0.373) q[0];\nrz(-1.2309) q[3];\nrz(-0.8952) q[2];\nrz(-0.1492) q[4];\nrz(-1.1936) q[5];\nrz(-0.4476) q[6];\nrz(-1.6785) q[7];\nrz(-0.0373) q[8];\nh q[0];\nrz(0.1502) q[0];\nh q[0];\nh q[1];\nrz(0.1502) q[1];\nh q[1];\nh q[2];\nrz(0.1502) q[2];\nh q[2];\nh q[3];\nrz(0.1502) q[3];\nh q[3];\nh q[4];\nrz(0.1502) q[4];\nh q[4];\nh q[5];\nrz(0.1502) q[5];\nh q[5];\nh q[6];\nrz(0.1502) q[6];\nh q[6];\nh q[7];\nrz(0.1502) q[7];\nh q[7];\nh q[8];\nrz(0.1502) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0081) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.0081) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(0.0081) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.0081) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(0.0081) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.0081) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.0081) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.0081) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.0081) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.0081) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.0081) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.0081) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0081) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(0.0081) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.0081) q[8];\ncx q[7], q[8];\nrz(0.0324) q[1];\nrz(0.009) q[0];\nrz(0.0297) q[3];\nrz(0.0216) q[2];\nrz(0.0036) q[4];\nrz(0.0288) q[5];\nrz(0.0108) q[6];\nrz(0.0405) q[7];\nrz(0.0009) q[8];\nh q[0];\nrz(0.1286) q[0];\nh q[0];\nh q[1];\nrz(0.1286) q[1];\nh q[1];\nh q[2];\nrz(0.1286) q[2];\nh q[2];\nh q[3];\nrz(0.1286) q[3];\nh q[3];\nh q[4];\nrz(0.1286) q[4];\nh q[4];\nh q[5];\nrz(0.1286) q[5];\nh q[5];\nh q[6];\nrz(0.1286) q[6];\nh q[6];\nh q[7];\nrz(0.1286) q[7];\nh q[7];\nh q[8];\nrz(0.1286) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0198) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.0198) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(0.0198) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.0198) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(0.0198) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.0198) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.0198) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.0198) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.0198) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.0198) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.0198) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.0198) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0198) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(0.0198) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.0198) q[8];\ncx q[7], q[8];\nrz(0.0792) q[1];\nrz(0.022) q[0];\nrz(0.0726) q[3];\nrz(0.0528) q[2];\nrz(0.0088) q[4];\nrz(0.0704) q[5];\nrz(0.0264) q[6];\nrz(0.099) q[7];\nrz(0.0022) q[8];\nh q[0];\nrz(0.1266) q[0];\nh q[0];\nh q[1];\nrz(0.1266) q[1];\nh q[1];\nh q[2];\nrz(0.1266) q[2];\nh q[2];\nh q[3];\nrz(0.1266) q[3];\nh q[3];\nh q[4];\nrz(0.1266) q[4];\nh q[4];\nh q[5];\nrz(0.1266) q[5];\nh q[5];\nh q[6];\nrz(0.1266) q[6];\nh q[6];\nh q[7];\nrz(0.1266) q[7];\nh q[7];\nh q[8];\nrz(0.1266) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0684) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.0684) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(0.0684) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.0684) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(0.0684) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.0684) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.0684) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.0684) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.0684) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.0684) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.0684) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.0684) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0684) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(0.0684) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.0684) q[8];\ncx q[7], q[8];\nrz(0.2736) q[1];\nrz(0.076) q[0];\nrz(0.2508) q[3];\nrz(0.1824) q[2];\nrz(0.0304) q[4];\nrz(0.2432) q[5];\nrz(0.0912) q[6];\nrz(0.342) q[7];\nrz(0.0076) q[8];\nh q[0];\nrz(0.1116) q[0];\nh q[0];\nh q[1];\nrz(0.1116) q[1];\nh q[1];\nh q[2];\nrz(0.1116) q[2];\nh q[2];\nh q[3];\nrz(0.1116) q[3];\nh q[3];\nh q[4];\nrz(0.1116) q[4];\nh q[4];\nh q[5];\nrz(0.1116) q[5];\nh q[5];\nh q[6];\nrz(0.1116) q[6];\nh q[6];\nh q[7];\nrz(0.1116) q[7];\nh q[7];\nh q[8];\nrz(0.1116) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x11) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x11) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x11) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x11) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x11) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x11) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x11) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(x11) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x11) q[8];\ncx q[7], q[8];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[3];\nrz(x15) q[2];\nrz(x16) q[4];\nrz(x17) q[5];\nrz(x18) q[6];\nrz(x19) q[7];\nrz(x20) q[8];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x22) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x22) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x22) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x22) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x22) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x22) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x22) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x22) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x22) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x22) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x22) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x22) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x22) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(x22) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x22) q[8];\ncx q[7], q[8];\nrz(x23) q[1];\nrz(x24) q[0];\nrz(x25) q[3];\nrz(x26) q[2];\nrz(x27) q[4];\nrz(x28) q[5];\nrz(x29) q[6];\nrz(x30) q[7];\nrz(x31) q[8];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nh q[8];\nrz(x32) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x33) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x33) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x33) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x33) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x33) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x33) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x33) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x33) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x33) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x33) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x33) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x33) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x33) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(x33) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x33) q[8];\ncx q[7], q[8];\nrz(x34) q[1];\nrz(x35) q[0];\nrz(x36) q[3];\nrz(x37) q[2];\nrz(x38) q[4];\nrz(x39) q[5];\nrz(x40) q[6];\nrz(x41) q[7];\nrz(x42) q[8];\nh q[0];\nrz(x43) q[0];\nh q[0];\nh q[1];\nrz(x43) q[1];\nh q[1];\nh q[2];\nrz(x43) q[2];\nh q[2];\nh q[3];\nrz(x43) q[3];\nh q[3];\nh q[4];\nrz(x43) q[4];\nh q[4];\nh q[5];\nrz(x43) q[5];\nh q[5];\nh q[6];\nrz(x43) q[6];\nh q[6];\nh q[7];\nrz(x43) q[7];\nh q[7];\nh q[8];\nrz(x43) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["-4982085883206237749","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[0, 3, 5, 6, 7, 8], [0, 2, 3, 4, 6, 7, 8, 9, 11], [0, 1, 2, 3, 4, 5, 6, 8, 10, 11], [0, 2, 4, 5, 7, 9, 11], [1, 4, 7], [9, 10, 7], [0, 2, 4, 5, 6, 7, 8, 10, 11], [2, 3, 4, 5, 7, 11], [0, 1, 2, 3, 6, 7, 8, 9, 11], [1, 2, 3, 7, 10, 11], [1, 5, 7, 10, 11]]}","{\"states\": [4089, 3961], \"expectation_value\": -2.2338745992666698, \"params\": [2.5853, -0.0026000000000000003, 1.8456000000000001, 0.0025, 2.7057, -0.0032, 3.0717000000000003, 0.29860000000000003, 1.7396, -0.3967, 2.6981, 0.003, 2.7013000000000003, 0.0026000000000000003, 2.9695, 0.0008, 3.1398, -0.8205, 0.0025, 1.0142, -0.0031000000000000003, 2.2423, 3.0568, 0.006200000000000001, 0.5565, 1.2933000000000001, 0.4491, 0.6949000000000001, -0.2023, 0.4369, 0.44430000000000003, 0.1705, -1.3745, 0.0061, -0.003], \"bitstrings\": [\"000000000110\", \"000010000110\"], \"total_optimization_steps\": 440, \"probabilities\": [0.4432022839529034, 0.5075019283063625], \"optimization_time\": 15.207620859146118}","0.07222222222222222 * (Z(0) @ Z(5)) + 0.07777777777777778 * (Z(7) @ Z(5)) + 0.08214285714285716 * (Z(7) @ Z(0)) + 0.07222222222222222 * (Z(8) @ Z(5)) + 0.08611111111111111 * (Z(8) @ Z(0)) + 0.058333333333333334 * (Z(8) @ Z(7)) + 0.12777777777777777 * (Z(9) @ Z(5)) + 0.09880952380952382 * (Z(9) @ Z(0)) + 0.15436507936507937 * (Z(9) @ Z(7)) + 0.075 * (Z(9) @ Z(8)) + 0.07222222222222222 * (Z(10) @ Z(5)) + 0.08611111111111111 * (Z(10) @ Z(0)) + 0.058333333333333334 * (Z(10) @ Z(7)) + 0.08611111111111111 * (Z(10) @ Z(8)) + 0.075 * (Z(10) @ Z(9)) + 0.10555555555555554 * (Z(4) @ Z(5)) + 0.07658730158730159 * (Z(4) @ Z(0)) + 0.08214285714285714 * (Z(4) @ Z(7)) + 0.05277777777777778 * (Z(4) @ Z(8)) + 0.13214285714285715 * (Z(4) @ Z(9)) + 0.05277777777777778 * (Z(4) @ Z(10)) + 0.058333333333333334 * (Z(6) @ Z(5)) + 0.0626984126984127 * (Z(6) @ Z(0)) + 0.08214285714285714 * (Z(6) @ Z(7)) + 0.03888888888888889 * (Z(6) @ Z(8)) + 0.2515873015873016 * (Z(6) @ Z(9)) + 0.03888888888888889 * (Z(6) @ Z(10)) + 0.09603174603174602 * (Z(6) @ Z(4)) + 0.027777777777777776 * (Z(11) @ Z(5)) + 0.051587301587301584 * (Z(11) @ Z(0)) + 0.023809523809523808 * (Z(11) @ Z(7)) + 0.027777777777777776 * (Z(11) @ Z(8)) + 0.21825396825396826 * (Z(11) @ Z(9)) + 0.027777777777777776 * (Z(11) @ Z(10)) + 0.051587301587301584 * (Z(11) @ Z(4)) + 0.037698412698412696 * (Z(11) @ Z(6)) + 0.10555555555555554 * (Z(3) @ Z(5)) + 0.07658730158730159 * (Z(3) @ Z(0)) + 0.13214285714285715 * (Z(3) @ Z(7)) + 0.05277777777777778 * (Z(3) @ Z(8)) + 0.18214285714285716 * (Z(3) @ Z(9)) + 0.05277777777777778 * (Z(3) @ Z(10)) + 0.14325396825396824 * (Z(3) @ Z(4)) + 0.09603174603174602 * (Z(3) @ Z(6)) + 0.051587301587301584 * (Z(3) @ Z(11)) + 0.058333333333333334 * (Z(1) @ Z(5)) + 0.025 * (Z(1) @ Z(0)) + 0.061111111111111116 * (Z(1) @ Z(7)) + 0.025 * (Z(1) @ Z(8)) + 0.2638888888888889 * (Z(1) @ Z(9)) + 0.025 * (Z(1) @ Z(10)) + 0.058333333333333334 * (Z(1) @ Z(4)) + 0.17777777777777776 * (Z(1) @ Z(6)) + 0.013888888888888888 * (Z(1) @ Z(11)) + 0.10833333333333334 * (Z(1) @ Z(3)) + 0.044444444444444446 * (Z(2) @ Z(5)) + 0.025 * (Z(2) @ Z(0)) + 0.07500000000000001 * (Z(2) @ Z(7)) + 0.025 * (Z(2) @ Z(8)) + 0.2638888888888889 * (Z(2) @ Z(9)) + 0.025 * (Z(2) @ Z(10)) + 0.058333333333333334 * (Z(2) @ Z(4)) + 0.025 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(11)) + 0.10833333333333334 * (Z(2) @ Z(3)) + 0.09444444444444444 * (Z(2) @ Z(1)) + 0.41111111111111104 * Z(5) + 0.37142857142857144 * Z(0) + 0.44365079365079385 * Z(7) + 0.3000000000000001 * Z(8) + 0.9214285714285713 * Z(9) + 0.3000000000000001 * Z(10) + 0.45476190476190487 * Z(4) + 0.48253968253968255 * Z(6) + 0.3492063492063491 * Z(11) + 0.5547619047619048 * Z(3) + 0.4555555555555555 * Z(1) + 0.4555555555555555 * Z(2)",4,12,1,"{\"smallest_eigenvalues\": [-2.312698412698413, -2.312698412698413, -2.312698412698413], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.3126984126984125, \"smallest_bitstrings\": [\"000100001100\", \"000100000110\", \"000010000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(2.5853) q[0];\nrz(-0.0026) q[0];\nrx(1.8456) q[1];\nrz(0.0025) q[1];\nrx(2.7057) q[2];\nrz(-0.0032) q[2];\nrx(3.0717) q[3];\nrz(0.2986) q[3];\nrx(1.7396) q[4];\nrz(-0.3967) q[4];\nrx(2.6981) q[5];\nrz(0.003) q[5];\nrx(2.7013) q[6];\nrz(0.0026) q[6];\nrx(2.9695) q[7];\nrz(0.0008) q[7];\nrx(3.1398) q[8];\nrz(-0.8205) q[8];\nrx(0.0025) q[9];\nrz(1.0142) q[9];\nrx(-0.0031) q[10];\nrz(2.2423) q[10];\nrx(3.0568) q[11];\nrz(0.0062) q[11];\ncrx(-0.003) q[11], q[10];\ncrx(0.0061) q[10], q[9];\ncrx(-1.3745) q[9], q[8];\ncrx(0.1705) q[8], q[7];\ncrx(0.4443) q[7], q[6];\ncrx(0.4369) q[6], q[5];\ncrx(-0.2023) q[5], q[4];\ncrx(0.6949) q[4], q[3];\ncrx(0.4491) q[3], q[2];\ncrx(1.2933) q[2], q[1];\ncrx(0.5565) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x3) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\nrx(x21) q[11];\nrz(x22) q[11];\ncrx(x23) q[11], q[10];\ncrx(x24) q[10], q[9];\ncrx(x25) q[9], q[8];\ncrx(x26) q[8], q[7];\ncrx(x27) q[7], q[6];\ncrx(x28) q[6], q[5];\ncrx(x29) q[5], q[4];\ncrx(x30) q[4], q[3];\ncrx(x31) q[3], q[2];\ncrx(x32) q[2], q[1];\ncrx(x33) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["69144809aea48cb46eae9c3950f24a15","graph_coloring","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 1}, {\"id\": 2}, {\"id\": 0}, {\"id\": 3}], \"edges\": [{\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 0, \"target\": 3}]}","{\"states\": [1783, 1781], \"expectation_value\": -4.470521740363575, \"params\": [1.3484, 0.0032, 2.8748, 0.0022, 3.0291, 0.009000000000000001, 1.2917, 0.0061, 2.1088, 0.001, 3.104, 0.006500000000000001, 3.1531000000000002, 0.0036000000000000003, 3.1583, 0.0061, 1.4864000000000002, 0.0004, 3.0787, 0.009600000000000001, 1.5429000000000002, 0.0063, 3.0412000000000003, 0.0058000000000000005, 0.0041, 0.0047, 0.006200000000000001, 0.0034000000000000002, 0.0067, 0.0032, 0.0078000000000000005, 0.0095, 0.0066, 0.0001, 0.006200000000000001, 0.0067], \"bitstrings\": [\"100100001000\", \"100100001010\"], \"total_optimization_steps\": 320, \"probabilities\": [0.07563794237280144, 0.079982599390045], \"optimization_time\": 11.4561288356781}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(7)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(8)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.75 * Z(4) + 0.75 * Z(3) + 0.75 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8) + 0.75 * Z(1) + 0.75 * Z(0) + 0.75 * Z(2) + 1.0 * Z(9) + 1.0 * Z(10) + 1.0 * Z(11)",18,12,1,"{\"smallest_eigenvalues\": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], \"number_of_smallest_eigenvalues\": 24, \"first_excited_energy\": -5.25, \"smallest_bitstrings\": [\"100001100010\", \"100100001010\", \"100100010001\", \"001100010100\", \"001010100010\", \"010100010100\", \"001010001100\", \"001010001010\", \"010100010001\", \"100010100010\", \"100010100001\", \"010100001100\", \"001100001010\", \"100010001010\", \"001001010100\", \"001001100010\", \"010001010100\", \"010001100001\", \"100001010001\", \"010010001100\", \"010001010001\", \"010010100001\", \"001100001100\", \"100001100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(1.3484) q[0];\nrz(0.0032) q[0];\nrx(2.8748) q[1];\nrz(0.0022) q[1];\nrx(3.0291) q[2];\nrz(0.009) q[2];\nrx(1.2917) q[3];\nrz(0.0061) q[3];\nrx(2.1088) q[4];\nrz(0.001) q[4];\nrx(3.104) q[5];\nrz(0.0065) q[5];\nrx(3.1531) q[6];\nrz(0.0036) q[6];\nrx(3.1583) q[7];\nrz(0.0061) q[7];\nrx(1.4864) q[8];\nrz(0.0004) q[8];\nrx(3.0787) q[9];\nrz(0.0096) q[9];\nrx(1.5429) q[10];\nrz(0.0063) q[10];\nrx(3.0412) q[11];\nrz(0.0058) q[11];\ncrz(0.0041) q[11], q[0];\ncrz(0.0067) q[10], q[11];\ncrz(0.0062) q[9], q[10];\ncrz(0.0001) q[8], q[9];\ncrz(0.0066) q[7], q[8];\ncrz(0.0095) q[6], q[7];\ncrz(0.0078) q[5], q[6];\ncrz(0.0032) q[4], q[5];\ncrz(0.0067) q[3], q[4];\ncrz(0.0034) q[2], q[3];\ncrz(0.0062) q[1], q[2];\ncrz(0.0047) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x7) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\nrx(x21) q[11];\nrz(x22) q[11];\ncrz(x23) q[11], q[0];\ncrz(x24) q[10], q[11];\ncrz(x25) q[9], q[10];\ncrz(x26) q[8], q[9];\ncrz(x27) q[7], q[8];\ncrz(x28) q[6], q[7];\ncrz(x29) q[5], q[6];\ncrz(x1) q[4], q[5];\ncrz(x24) q[3], q[4];\ncrz(x30) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x31) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"number_of_colors\": 3}","{\"circuits\": [], \"gradients\": []}"]
["2d66a63516707ef6fa08689003d445e4","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 3}]}","{\"states\": [62, 31], \"expectation_value\": -3.836347813176304, \"params\": [[[-0.0049, -0.0046], [-0.0059, 0.6275000000000001], [-0.0028, -0.0032], [0.004, 0.0021000000000000003], [1.0639, 0.0029000000000000002], [-0.667, -0.0019]], [[-0.00030000000000000003, -0.5928], [0.0002, -0.0019], [-0.0024000000000000002, -0.0027], [0.0064, -0.0019], [-0.0022, 0.3844], [1.2161, 0.0045000000000000005]], [[0.6344000000000001, -1.1681000000000001], [-0.0024000000000000002, -0.44370000000000004], [-0.003, -0.0023], [0.0019, 0.0021000000000000003], [0.1602, -0.0039000000000000003], [-0.0014, -0.0023]]], \"bitstrings\": [\"000001\", \"100000\"], \"total_optimization_steps\": 130, \"probabilities\": [0.25947538531856706, 0.3470893607033003], \"optimization_time\": 10.317328929901123}","-0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5)",15,6,3,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nry(-0.0049) q[0];\nry(-0.0059) q[1];\nry(-0.0028) q[2];\nry(0.004) q[3];\nry(1.0639) q[4];\nry(-0.667) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0046) q[0];\nry(0.6275) q[1];\nry(-0.0032) q[2];\nry(0.0021) q[3];\nry(0.0029) q[4];\nry(-0.0019) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nry(-0.0003) q[0];\nry(0.0002) q[1];\nry(-0.0024) q[2];\nry(0.0064) q[3];\nry(-0.0022) q[4];\nry(1.2161) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.5928) q[0];\nry(-0.0019) q[1];\nry(-0.0027) q[2];\nry(-0.0019) q[3];\nry(0.3844) q[4];\nry(0.0045) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nry(0.6344) q[0];\nry(-0.0024) q[1];\nry(-0.003) q[2];\nry(0.0019) q[3];\nry(0.1602) q[4];\nry(-0.0014) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-1.1681) q[0];\nry(-0.4437) q[1];\nry(-0.0023) q[2];\nry(0.0021) q[3];\nry(-0.0039) q[4];\nry(-0.0023) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x6) q[0];\nry(x7) q[1];\nry(x8) q[2];\nry(x9) q[3];\nry(x10) q[4];\nry(x11) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nry(x12) q[0];\nry(x13) q[1];\nry(x14) q[2];\nry(x15) q[3];\nry(x16) q[4];\nry(x17) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x18) q[0];\nry(x11) q[1];\nry(x19) q[2];\nry(x11) q[3];\nry(x20) q[4];\nry(x21) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nry(x22) q[0];\nry(x14) q[1];\nry(x23) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x26) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x27) q[0];\nry(x28) q[1];\nry(x29) q[2];\nry(x9) q[3];\nry(x30) q[4];\nry(x29) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["73162755fd3fb63ec250bb0297031b85","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}]}","{\"states\": [5, 7], \"expectation_value\": -3.0719352683002965, \"params\": null, \"bitstrings\": [\"111010\", \"111000\"], \"total_optimization_steps\": 29, \"probabilities\": [0.13263570914780165, 0.6774955918682292], \"optimization_time\": 21.383711099624634}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(3)",1,6,3,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"110010\", \"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nry(-1.4449) q[4];\ncry(-1.0398) q[5], q[0];\ncry(-1.0398) q[3], q[1];\nry(0.7022) q[5];\nry(0.7022) q[3];\nry(-0.4578) q[1];\nry(-0.4578) q[0];\ncry(0.4586) q[5], q[3];\ncry(0.4522) q[3], q[5];\ncry(-0.351) q[3], q[0];\ncry(-0.3446) q[5], q[1];\ncry(0.5428) q[5], q[4];\ncry(1.6279) q[3], q[4];\ncry(-0.1415) q[4], q[1];\ncry(-0.1451) q[4], q[0];\ncry(0.2402) q[4], q[5];\ncry(0.1093) q[4], q[3];\ncry(-0.1461) q[0], q[4];\ncry(0.0935) q[1], q[5];\ncry(-0.0779) q[1], q[4];\ncry(0.063) q[0], q[3];\ncry(-0.061) q[0], q[5];\ncry(-0.0433) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":17346,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\ncry(-1.0398) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\ncry(-1.0398) q[5], q[0];\\ncry(-1.0398) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\ncry(-1.0398) q[5], q[0];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\ncry(-1.0398) q[5], q[0];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\ncry(-1.0398) q[5], q[0];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nry(-0.4578) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\ncry(-1.0398) q[5], q[0];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nry(-0.4578) q[1];\\nry(-0.4578) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\ncry(-1.0398) q[5], q[0];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nry(-0.4578) q[1];\\nry(-0.4578) q[0];\\ncry(0.4586) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\ncry(-1.0398) q[5], q[0];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nry(-0.4578) q[1];\\nry(-0.4578) q[0];\\ncry(0.4586) q[5], q[3];\\ncry(0.4522) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[4];\\ncry(-1.0398) q[5], q[0];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nry(-0.4578) q[1];\\nry(-0.4578) q[0];\\ncry(0.4586) q[5], q[3];\\ncry(0.4522) q[3], q[5];\\ncry(-0.351) q[3], q[0];\\nc[0] "}}]
["3edaf02080dd4f2f34de124f69ca8c1c","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [21999, 24047], \"expectation_value\": -3.978744958270485, \"params\": [[0.0724, 2.5329, -0.0216, 2.3469, -0.4575, 0.6977, -0.4234, 0.3347, 0.3904, 0.2906, 0.5362, 0.1477, 2.0676, -0.13090000000000002, 0.4066, 0.4244], [0.154, 0.6094, 0.054400000000000004, 0.8107000000000001, 1.5025000000000002, 2.4493, 0.5630000000000001, 2.6034, 2.6032, 2.6064000000000003, 2.5829, 0.3569, 1.0778, 2.5972, 2.5941, 2.5935]], \"bitstrings\": [\"1010101000010000\", \"1010001000010000\"], \"total_optimization_steps\": 260, \"probabilities\": [0.3176647807868121, 0.4619705603130129], \"optimization_time\": 359.91825127601624}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(7) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(7) @ Z(5)) + 0.0625 * (Z(7) @ Z(6)) + -0.0625 * (Z(3) @ Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(4) @ Z(6)) + -0.0625 * (Z(7) @ Z(3) @ Z(4)) + -0.0625 * (Z(3) @ Z(5) @ Z(6)) + -0.0625 * (Z(7) @ Z(3) @ Z(5)) + -0.0625 * (Z(7) @ Z(3) @ Z(6)) + -0.0625 * (Z(4) @ Z(5) @ Z(6)) + -0.0625 * (Z(7) @ Z(4) @ Z(5)) + -0.0625 * (Z(7) @ Z(4) @ Z(6)) + -0.0625 * (Z(7) @ Z(5) @ Z(6)) + 0.0625 * (Z(3) @ Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(7) @ Z(3) @ Z(4) @ Z(5)) + 0.0625 * (Z(7) @ Z(3) @ Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(3) @ Z(5) @ Z(6)) + 0.0625 * (Z(7) @ Z(4) @ Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(6) @ Z(5) @ Z(7) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(8) @ Z(0)) + 0.0625 * (Z(0) @ Z(9)) + 0.0625 * (Z(0) @ Z(10)) + 0.0625 * (Z(8) @ Z(3)) + 0.0625 * (Z(3) @ Z(9)) + 0.0625 * (Z(3) @ Z(10)) + 0.0625 * (Z(8) @ Z(9)) + 0.0625 * (Z(8) @ Z(10)) + 0.0625 * (Z(9) @ Z(10)) + -0.0625 * (Z(8) @ Z(0) @ Z(3)) + -0.0625 * (Z(0) @ Z(3) @ Z(9)) + -0.0625 * (Z(0) @ Z(3) @ Z(10)) + -0.0625 * (Z(8) @ Z(0) @ Z(9)) + -0.0625 * (Z(8) @ Z(0) @ Z(10)) + -0.0625 * (Z(0) @ Z(9) @ Z(10)) + -0.0625 * (Z(8) @ Z(3) @ Z(9)) + -0.0625 * (Z(8) @ Z(3) @ Z(10)) + -0.0625 * (Z(3) @ Z(9) @ Z(10)) + -0.0625 * (Z(8) @ Z(9) @ Z(10)) + 0.0625 * (Z(8) @ Z(0) @ Z(3) @ Z(9)) + 0.0625 * (Z(8) @ Z(0) @ Z(3) @ Z(10)) + 0.0625 * (Z(0) @ Z(3) @ Z(9) @ Z(10)) + 0.0625 * (Z(8) @ Z(0) @ Z(9) @ Z(10)) + 0.0625 * (Z(8) @ Z(3) @ Z(9) @ Z(10)) + -0.0625 * (Z(3) @ Z(8) @ Z(0) @ Z(10) @ Z(9)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(1) @ Z(11)) + 0.0625 * (Z(1) @ Z(12)) + 0.0625 * (Z(8) @ Z(4)) + 0.0625 * (Z(4) @ Z(11)) + 0.0625 * (Z(4) @ Z(12)) + 0.0625 * (Z(8) @ Z(11)) + 0.0625 * (Z(8) @ Z(12)) + 0.0625 * (Z(11) @ Z(12)) + -0.0625 * (Z(8) @ Z(1) @ Z(4)) + -0.0625 * (Z(1) @ Z(4) @ Z(11)) + -0.0625 * (Z(1) @ Z(4) @ Z(12)) + -0.0625 * (Z(8) @ Z(1) @ Z(11)) + -0.0625 * (Z(8) @ Z(1) @ Z(12)) + -0.0625 * (Z(1) @ Z(11) @ Z(12)) + -0.0625 * (Z(8) @ Z(4) @ Z(11)) + -0.0625 * (Z(8) @ Z(4) @ Z(12)) + -0.0625 * (Z(4) @ Z(11) @ Z(12)) + -0.0625 * (Z(8) @ Z(11) @ Z(12)) + 0.0625 * (Z(8) @ Z(1) @ Z(4) @ Z(11)) + 0.0625 * (Z(8) @ Z(1) @ Z(4) @ Z(12)) + 0.0625 * (Z(1) @ Z(4) @ Z(11) @ Z(12)) + 0.0625 * (Z(8) @ Z(1) @ Z(11) @ Z(12)) + 0.0625 * (Z(8) @ Z(4) @ Z(11) @ Z(12)) + -0.0625 * (Z(11) @ Z(1) @ Z(8) @ Z(12) @ Z(4)) + 0.125 * (Z(11) @ Z(5)) + 0.125 * (Z(13) @ Z(5)) + 0.125 * (Z(14) @ Z(5)) + 0.125 * (Z(13) @ Z(11)) + 0.125 * (Z(14) @ Z(11)) + 0.125 * (Z(13) @ Z(14)) + -0.125 * (Z(13) @ Z(11) @ Z(5)) + -0.125 * (Z(14) @ Z(11) @ Z(5)) + -0.125 * (Z(13) @ Z(14) @ Z(5)) + -0.125 * (Z(13) @ Z(14) @ Z(11)) + 0.125 * (Z(13) @ Z(14) @ Z(11) @ Z(5)) + 0.125 * (Z(9) @ Z(6)) + 0.125 * (Z(13) @ Z(6)) + 0.125 * (Z(15) @ Z(6)) + 0.125 * (Z(13) @ Z(9)) + 0.125 * (Z(9) @ Z(15)) + 0.125 * (Z(13) @ Z(15)) + -0.125 * (Z(13) @ Z(9) @ Z(6)) + -0.125 * (Z(9) @ Z(15) @ Z(6)) + -0.125 * (Z(13) @ Z(15) @ Z(6)) + -0.125 * (Z(13) @ Z(9) @ Z(15)) + 0.125 * (Z(13) @ Z(9) @ Z(15) @ Z(6)) + 0.03125 * (Z(7) @ Z(2)) + 0.03125 * (Z(10) @ Z(2)) + 0.03125 * (Z(12) @ Z(2)) + 0.03125 * (Z(14) @ Z(2)) + 0.03125 * (Z(15) @ Z(2)) + 0.03125 * (Z(7) @ Z(10)) + 0.03125 * (Z(7) @ Z(12)) + 0.03125 * (Z(7) @ Z(14)) + 0.03125 * (Z(7) @ Z(15)) + 0.03125 * (Z(10) @ Z(12)) + 0.03125 * (Z(14) @ Z(10)) + 0.03125 * (Z(10) @ Z(15)) + 0.03125 * (Z(14) @ Z(12)) + 0.03125 * (Z(15) @ Z(12)) + 0.03125 * (Z(14) @ Z(15)) + -0.03125 * (Z(7) @ Z(10) @ Z(2)) + -0.03125 * (Z(7) @ Z(12) @ Z(2)) + -0.03125 * (Z(7) @ Z(14) @ Z(2)) + -0.03125 * (Z(7) @ Z(15) @ Z(2)) + -0.03125 * (Z(10) @ Z(12) @ Z(2)) + -0.03125 * (Z(14) @ Z(10) @ Z(2)) + -0.03125 * (Z(10) @ Z(15) @ Z(2)) + -0.03125 * (Z(14) @ Z(12) @ Z(2)) + -0.03125 * (Z(12) @ Z(15) @ Z(2)) + -0.03125 * (Z(14) @ Z(15) @ Z(2)) + -0.03125 * (Z(7) @ Z(10) @ Z(12)) + -0.03125 * (Z(7) @ Z(14) @ Z(10)) + -0.03125 * (Z(7) @ Z(10) @ Z(15)) + -0.03125 * (Z(7) @ Z(14) @ Z(12)) + -0.03125 * (Z(7) @ Z(15) @ Z(12)) + -0.03125 * (Z(7) @ Z(14) @ Z(15)) + -0.03125 * (Z(14) @ Z(10) @ Z(12)) + -0.03125 * (Z(10) @ Z(15) @ Z(12)) + -0.03125 * (Z(14) @ Z(10) @ Z(15)) + -0.03125 * (Z(14) @ Z(15) @ Z(12)) + 0.03125 * (Z(7) @ Z(10) @ Z(12) @ Z(2)) + 0.03125 * (Z(7) @ Z(14) @ Z(10) @ Z(2)) + 0.03125 * (Z(7) @ Z(10) @ Z(15) @ Z(2)) + 0.03125 * (Z(7) @ Z(14) @ Z(12) @ Z(2)) + 0.03125 * (Z(7) @ Z(12) @ Z(15) @ Z(2)) + 0.03125 * (Z(7) @ Z(14) @ Z(15) @ Z(2)) + 0.03125 * (Z(14) @ Z(10) @ Z(12) @ Z(2)) + 0.03125 * (Z(12) @ Z(10) @ Z(15) @ Z(2)) + 0.03125 * (Z(14) @ Z(10) @ Z(15) @ Z(2)) + 0.03125 * (Z(14) @ Z(12) @ Z(15) @ Z(2)) + 0.03125 * (Z(7) @ Z(14) @ Z(10) @ Z(12)) + 0.03125 * (Z(7) @ Z(10) @ Z(15) @ Z(12)) + 0.03125 * (Z(7) @ Z(14) @ Z(10) @ Z(15)) + 0.03125 * (Z(7) @ Z(14) @ Z(15) @ Z(12)) + 0.03125 * (Z(14) @ Z(10) @ Z(15) @ Z(12)) + -0.03125 * (Z(14) @ Z(2) @ Z(10) @ Z(12) @ Z(7)) + -0.03125 * (Z(2) @ Z(10) @ Z(15) @ Z(12) @ Z(7)) + -0.03125 * (Z(14) @ Z(2) @ Z(10) @ Z(15) @ Z(7)) + -0.03125 * (Z(14) @ Z(2) @ Z(15) @ Z(12) @ Z(7)) + -0.03125 * (Z(14) @ Z(2) @ Z(10) @ Z(15) @ Z(12)) + -0.03125 * (Z(14) @ Z(10) @ Z(15) @ Z(12) @ Z(7)) + 0.03125 * (Z(14) @ Z(2) @ Z(10) @ Z(15) @ Z(12) @ Z(7)) + 0.1875 * Z(0) + 0.1875 * Z(1) + 0.21875 * Z(2) + 0.375 * Z(3) + 0.375 * Z(4) + 0.3125 * Z(5) + 0.3125 * Z(6) + 0.40625 * Z(7) + 0.375 * Z(8) + 0.3125 * Z(9) + 0.40625 * Z(10) + 0.3125 * Z(11) + 0.40625 * Z(12) + 0.25 * Z(13) + 0.34375 * Z(14) + 0.34375 * Z(15)",10,16,1,"{\"smallest_eigenvalues\": [-4.7187500000000036], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.71875, \"smallest_bitstrings\": [\"1010001000010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nry(0.0724) q[0];\nry(2.5329) q[1];\nry(-0.0216) q[2];\nry(2.3469) q[3];\nry(-0.4575) q[4];\nry(0.6977) q[5];\nry(-0.4234) q[6];\nry(0.3347) q[7];\nry(0.3904) q[8];\nry(0.2906) q[9];\nry(0.5362) q[10];\nry(0.1477) q[11];\nry(2.0676) q[12];\nry(-0.1309) q[13];\nry(0.4066) q[14];\nry(0.4244) q[15];\ncz q[15], q[14];\ncz q[14], q[13];\ncz q[13], q[12];\ncz q[12], q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[15];\nry(0.154) q[0];\nry(0.6094) q[1];\nry(0.0544) q[2];\nry(0.8107) q[3];\nry(1.5025) q[4];\nry(2.4493) q[5];\nry(0.563) q[6];\nry(2.6034) q[7];\nry(2.6032) q[8];\nry(2.6064) q[9];\nry(2.5829) q[10];\nry(0.3569) q[11];\nry(1.0778) q[12];\nry(2.5972) q[13];\nry(2.5941) q[14];\nry(2.5935) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[16] c;\nqubit[16] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\nry(x13) q[13];\nry(x14) q[14];\nry(x15) q[15];\ncz q[15], q[14];\ncz q[14], q[13];\ncz q[13], q[12];\ncz q[12], q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[15];\nry(x16) q[0];\nry(x17) q[1];\nry(x18) q[2];\nry(x19) q[3];\nry(x20) q[4];\nry(x21) q[5];\nry(x22) q[6];\nry(x23) q[7];\nry(x24) q[8];\nry(x25) q[9];\nry(x26) q[10];\nry(x27) q[11];\nry(x28) q[12];\nry(x29) q[13];\nry(x30) q[14];\nry(x31) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];",null,"{\"circuits\": [], \"gradients\": []}"]
["-8849274565359226034","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[1, 2, 4, 5], [1, 3], [0, 2, 3, 4]]}","{\"states\": [58, 15], \"expectation_value\": -0.3556821803783379, \"params\": [[-0.4137], [0.41000000000000003]], \"bitstrings\": [\"000101\", \"110000\"], \"total_optimization_steps\": 50, \"probabilities\": [0.029164978882033944, 0.029164978882033964], \"optimization_time\": 2.015899896621704}","0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.24999999999999994 * Z(2) + 0.125 * Z(1) + 0.24999999999999994 * Z(4) + 0.125 * Z(5) + 0.1250000000000001 * Z(3) + 0.125 * Z(0)",1,6,1,"{\"smallest_eigenvalues\": [-1.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.9999999999999999, \"smallest_bitstrings\": [\"110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[1];\nrz(-0.0689) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(-0.1379) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(-0.0689) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(-0.0689) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(-0.0689) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0689) q[5];\ncx q[4], q[5];\ncx q[2], q[3];\nrz(-0.0689) q[3];\ncx q[2], q[3];\ncx q[1], q[3];\nrz(-0.4137) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(-0.0689) q[3];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(-0.0689) q[0];\ncx q[2], q[0];\ncx q[4], q[0];\nrz(-0.0689) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(-0.0689) q[0];\ncx q[3], q[0];\nrz(-0.2068) q[2];\nrz(-0.1034) q[1];\nrz(-0.2068) q[4];\nrz(-0.1034) q[5];\nrz(-0.1034) q[3];\nrz(-0.1034) q[0];\nh q[0];\nrz(0.82) q[0];\nh q[0];\nh q[1];\nrz(0.82) q[1];\nh q[1];\nh q[2];\nrz(0.82) q[2];\nh q[2];\nh q[3];\nrz(0.82) q[3];\nh q[3];\nh q[4];\nrz(0.82) q[4];\nh q[4];\nh q[5];\nrz(0.82) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\nrz(x3) q[2];\nrz(x4) q[1];\nrz(x3) q[4];\nrz(x4) q[5];\nrz(x4) q[3];\nrz(x4) q[0];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["067bba7d9e0fe420d5884521d34dafa4","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 9}]}","{\"states\": [0, 384], \"expectation_value\": -25.9359114691904, \"params\": [-0.1273, 2.2526, 0.8438, 0.0026000000000000003, 1.379, -0.0385, 0.5308, -0.1894, -0.0027, 2.2592000000000003, -0.0027, 0.0043, -0.0027, 2.2652, -0.0027, 0.44110000000000005, -0.0027, 2.1468000000000003, -0.0027, 0.0048000000000000004, -0.0027, 2.2807, -0.0027, 0.18460000000000001, -0.0028, 2.2649, -0.0028, 0.0029000000000000002, -0.0027, 2.0821, -0.0027, 0.17550000000000002, -0.0027, 2.1043000000000003, -0.0027, 0.009000000000000001, 2.455, 0.2811, 0.9321, 0.0002, 0.9313, -0.007200000000000001, -0.005, -0.002, 0.0001], \"bitstrings\": [\"111111111\", \"001111111\"], \"total_optimization_steps\": 310, \"probabilities\": [0.46936671258125695, 0.48888554416309365], \"optimization_time\": 18.324465036392212}","-1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -2.5 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + -3.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 1.5 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.5 * Z(3) + -3.0 * Z(2) + 1.0 * Z(7) + -3.0 * Z(5) + 1.5 * Z(6) + -2.0 * Z(4) + -2.5 * Z(8)",8,9,1,"{\"smallest_eigenvalues\": [-27.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -25.0, \"smallest_bitstrings\": [\"001111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(-0.1273) q[0];\nrz(2.2526) q[0];\nrx(1.379) q[1];\nrz(-0.0385) q[1];\nrx(-0.0027) q[2];\nrz(2.2592) q[2];\nrx(-0.0027) q[3];\nrz(2.2652) q[3];\nrx(-0.0027) q[4];\nrz(2.1468) q[4];\nrx(-0.0027) q[5];\nrz(2.2807) q[5];\nrx(-0.0028) q[6];\nrz(2.2649) q[6];\nrx(-0.0027) q[7];\nrz(2.0821) q[7];\nrx(-0.0027) q[8];\nrz(2.1043) q[8];\ncrx(2.455) q[1], q[0];\ncrx(0.9321) q[3], q[2];\ncrx(0.9313) q[5], q[4];\ncrx(-0.005) q[7], q[6];\nrx(0.8438) q[0];\nrz(0.0026) q[0];\nrx(0.5308) q[1];\nrz(-0.1894) q[1];\nrx(-0.0027) q[2];\nrz(0.0043) q[2];\nrx(-0.0027) q[3];\nrz(0.4411) q[3];\nrx(-0.0027) q[4];\nrz(0.0048) q[4];\nrx(-0.0027) q[5];\nrz(0.1846) q[5];\nrx(-0.0028) q[6];\nrz(0.0029) q[6];\nrx(-0.0027) q[7];\nrz(0.1755) q[7];\nrx(-0.0027) q[8];\nrz(0.009) q[8];\ncrx(0.2811) q[2], q[1];\ncrx(0.0002) q[4], q[3];\ncrx(-0.0072) q[6], q[5];\ncrx(-0.002) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x4) q[3];\nrz(x6) q[3];\nrx(x4) q[4];\nrz(x7) q[4];\nrx(x4) q[5];\nrz(x8) q[5];\nrx(x9) q[6];\nrz(x10) q[6];\nrx(x4) q[7];\nrz(x11) q[7];\nrx(x4) q[8];\nrz(x12) q[8];\ncrx(x13) q[1], q[0];\ncrx(x14) q[3], q[2];\ncrx(x15) q[5], q[4];\ncrx(x16) q[7], q[6];\nrx(x17) q[0];\nrz(x18) q[0];\nrx(x19) q[1];\nrz(x20) q[1];\nrx(x4) q[2];\nrz(x21) q[2];\nrx(x4) q[3];\nrz(x22) q[3];\nrx(x4) q[4];\nrz(x23) q[4];\nrx(x4) q[5];\nrz(x24) q[5];\nrx(x9) q[6];\nrz(x25) q[6];\nrx(x4) q[7];\nrz(x26) q[7];\nrx(x4) q[8];\nrz(x27) q[8];\ncrx(x28) q[2], q[1];\ncrx(x29) q[4], q[3];\ncrx(x30) q[6], q[5];\ncrx(x31) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 5}","{\"circuits\": [], \"gradients\": []}"]
["b72451fd8beb69606a84f4be9a392c11","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 7}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 6}, {\"capacity\": 4, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 4, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}]}","{\"states\": [125, 1], \"expectation_value\": -1.3288124810254014, \"params\": [[0.0776], [-0.0847]], \"bitstrings\": [\"10000010\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006361944191542645, 0.006848939068278559], \"optimization_time\": 2.5704381465911865}","-1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + 0.75 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + -3.0 * Z(6) + 1.75 * Z(2) + 0.75 * Z(3) + 1.0 * Z(7) + -1.25 * Z(1)",1,8,1,"{\"smallest_eigenvalues\": [-14.0, -14.0, -14.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -13.0, \"smallest_bitstrings\": [\"11111110\", \"11000010\", \"10000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[0];\nrz(-0.1552) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(-0.194) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(-0.1164) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.1164) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(-0.0388) q[6];\ncx q[5], q[6];\ncx q[4], q[2];\nrz(-0.1552) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(-0.1552) q[2];\ncx q[6], q[2];\ncx q[4], q[3];\nrz(-0.1552) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.1164) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(-0.1552) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(-0.1552) q[3];\ncx q[2], q[3];\ncx q[0], q[7];\nrz(0.4268) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.1164) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.1552) q[7];\ncx q[3], q[7];\ncx q[4], q[1];\nrz(-0.0776) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.1164) q[1];\ncx q[5], q[1];\nrz(0.1164) q[4];\nrz(-0.0388) q[0];\nrz(0.0388) q[5];\nrz(-0.4656) q[6];\nrz(0.2716) q[2];\nrz(0.1164) q[3];\nrz(0.1552) q[7];\nrz(-0.194) q[1];\nh q[0];\nrz(-0.1694) q[0];\nh q[0];\nh q[1];\nrz(-0.1694) q[1];\nh q[1];\nh q[2];\nrz(-0.1694) q[2];\nh q[2];\nh q[3];\nrz(-0.1694) q[3];\nh q[3];\nh q[4];\nrz(-0.1694) q[4];\nh q[4];\nh q[5];\nrz(-0.1694) q[5];\nh q[5];\nh q[6];\nrz(-0.1694) q[6];\nh q[6];\nh q[7];\nrz(-0.1694) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[1];\nrz(x5) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x2) q[1];\ncx q[5], q[1];\nrz(x6) q[4];\nrz(x3) q[0];\nrz(x7) q[5];\nrz(x8) q[6];\nrz(x9) q[2];\nrz(x6) q[3];\nrz(x10) q[7];\nrz(x1) q[1];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["-5361632518980720861","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 6], [0, 2, 3, 4, 5], [6, 7], [2, 3, 5, 6, 8], [0, 3, 4, 5, 6], [1, 2, 3, 4], [1, 2, 5, 7], [4, 7], [0, 8, 2], [0, 2, 3, 5, 6], [0, 1, 3, 5, 7]]}","{\"states\": [482, 427], \"expectation_value\": -1.082558730291754, \"params\": [[-0.28290000000000004], [0.2773]], \"bitstrings\": [\"000011101\", \"001010100\"], \"total_optimization_steps\": 30, \"probabilities\": [0.005792264531186148, 0.005949363030068366], \"optimization_time\": 7.71105432510376}","0.5 * (Z(1) @ Z(6)) + 0.1 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.26666666666666666 * (Z(2) @ Z(0)) + 0.15000000000000002 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.2 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(3)) + 0.15000000000000002 * (Z(5) @ Z(6)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.2 * (Z(5) @ Z(0)) + 0.23333333333333334 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.13333333333333333 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.05 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.21666666666666667 * (Z(8) @ Z(2)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(5)) + 0.2999999999999998 * Z(6) + 0.35 * Z(1) + 0.5666666666666669 * Z(0) + 0.7166666666666665 * Z(2) + 0.625 * Z(3) + 0.32499999999999996 * Z(4) + 0.625 * Z(5) + 0.2250000000000001 * Z(7) + 0.26666666666666666 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-3.050000000000001], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.9666666666666663, \"smallest_bitstrings\": [\"001010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[6], q[1];\nrz(-0.2829) q[1];\ncx q[6], q[1];\ncx q[6], q[0];\nrz(-0.0566) q[0];\ncx q[6], q[0];\ncx q[1], q[0];\nrz(-0.0283) q[0];\ncx q[1], q[0];\ncx q[6], q[2];\nrz(-0.0566) q[2];\ncx q[6], q[2];\ncx q[1], q[2];\nrz(-0.0943) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1509) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(-0.0849) q[3];\ncx q[6], q[3];\ncx q[1], q[3];\nrz(-0.0754) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1132) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.132) q[3];\ncx q[2], q[3];\ncx q[6], q[4];\nrz(-0.0283) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(-0.0472) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0566) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0754) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.1037) q[4];\ncx q[3], q[4];\ncx q[6], q[5];\nrz(-0.0849) q[5];\ncx q[6], q[5];\ncx q[1], q[5];\nrz(-0.0754) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.1132) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.132) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.1415) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0566) q[5];\ncx q[4], q[5];\ncx q[6], q[7];\nrz(-0.2829) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(-0.0754) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.0283) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.0472) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.0283) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.2829) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.0754) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(-0.0283) q[8];\ncx q[6], q[8];\ncx q[0], q[8];\nrz(-0.0943) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(-0.1226) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(-0.0283) q[8];\ncx q[3], q[8];\ncx q[5], q[8];\nrz(-0.0283) q[8];\ncx q[5], q[8];\nrz(-0.1697) q[6];\nrz(-0.198) q[1];\nrz(-0.3206) q[0];\nrz(-0.4055) q[2];\nrz(-0.3536) q[3];\nrz(-0.1839) q[4];\nrz(-0.3536) q[5];\nrz(-0.1273) q[7];\nrz(-0.1509) q[8];\nh q[0];\nrz(0.5546) q[0];\nh q[0];\nh q[1];\nrz(0.5546) q[1];\nh q[1];\nh q[2];\nrz(0.5546) q[2];\nh q[2];\nh q[3];\nrz(0.5546) q[3];\nh q[3];\nh q[4];\nrz(0.5546) q[4];\nh q[4];\nh q[5];\nrz(0.5546) q[5];\nh q[5];\nh q[6];\nrz(0.5546) q[6];\nh q[6];\nh q[7];\nrz(0.5546) q[7];\nh q[7];\nh q[8];\nrz(0.5546) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[6], q[1];\nrz(x0) q[1];\ncx q[6], q[1];\ncx q[6], q[0];\nrz(x1) q[0];\ncx q[6], q[0];\ncx q[1], q[0];\nrz(x2) q[0];\ncx q[1], q[0];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(x5) q[3];\ncx q[6], q[3];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[6], q[4];\nrz(x2) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x6) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[6], q[5];\nrz(x5) q[5];\ncx q[6], q[5];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x7) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(x6) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x2) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x9) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x2) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x6) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(x2) q[8];\ncx q[6], q[8];\ncx q[0], q[8];\nrz(x3) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(x12) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(x2) q[8];\ncx q[3], q[8];\ncx q[5], q[8];\nrz(x2) q[8];\ncx q[5], q[8];\nrz(x13) q[6];\nrz(x14) q[1];\nrz(x15) q[0];\nrz(x16) q[2];\nrz(x17) q[3];\nrz(x18) q[4];\nrz(x17) q[5];\nrz(x19) q[7];\nrz(x4) q[8];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nh q[7];\nrz(x20) q[7];\nh q[7];\nh q[8];\nrz(x20) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["7045b11d9eb140d2e8e06a7ee0e1d0cd","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [3550, 3534], \"expectation_value\": -1.420522060147533, \"params\": [0.7962, -0.008700000000000001, 0.7946000000000001, 0.0704, 0.13, 0.35700000000000004, 0.7563000000000001, 0.1603, 0.7111000000000001, 0.1925, 0.797, 0.1419, 0.37610000000000005, -0.1925, 0.47450000000000003, 0.19870000000000002, 0.7094, 0.20470000000000002, 0.7914, 0.1246, 0.7239, 0.09090000000000001, 0.38680000000000003, 0.20400000000000001, 0.7988000000000001, -0.0543, 0.7953, 0.07250000000000001, 0.1307, 0.3473, 0.7558, 0.1837, 0.6448, 0.1885, 0.7998000000000001, 0.0036000000000000003, 0.38470000000000004, -0.196, 0.4766, 0.1988, 0.5851000000000001, 0.2005, 0.7902, 0.0956, 0.7284, 0.10060000000000001, 0.38180000000000003, 0.19840000000000002, 0.7946000000000001, 0.0018000000000000002, 0.7877000000000001, 0.0083, 0.1252, 0.004, 0.7534000000000001, 0.0074, 0.7222000000000001, 0.005, 0.7998000000000001, 0.0059, 0.3771, 0.0013000000000000002, 0.4742, 0.0049, 0.6063000000000001, 0.0054, 0.7993, 0.007, 0.7224, 0.0057, 0.3865, 0.0034000000000000002, 0.12100000000000001, 0.0, 0.008700000000000001, 0.3482, 0.2566, 0.002, 0.0043, 0.1683, 0.1915, 0.0023, 0.004, 0.17930000000000001, -0.19820000000000002, 0.0024000000000000002, 0.0, 0.2076, 0.224, 0.0043, 0.0081, -0.0468, 0.0916, 0.0071, 0.0086, 0.004, 0.0946, 0.0056, 0.005200000000000001, 0.35810000000000003, 0.3093, 0.0005, 0.0012000000000000001, 0.1693, 0.18230000000000002, 0.009000000000000001, 0.0095, -0.17980000000000002, -0.1995, 0.0082, 0.0046, 0.2087, 0.21280000000000002, 0.0079, 0.0048000000000000004, 0.014400000000000001, 0.1655, 0.0004, 0.0043, 0.005, 0.0016, 0.0037, 0.0, 0.0013000000000000002, 0.0002, 0.0088, 0.0006000000000000001, 0.0056, 0.0059, 0.0, 0.0061, 0.0085, 0.0058000000000000005, 0.0019, 0.0055000000000000005, 0.007, 0.0068000000000000005, 0.0061, 0.0038, 0.0012000000000000001, 0.0007, 0.0061, 0.0036000000000000003, 0.0], \"bitstrings\": [\"001000100001\", \"001000110001\"], \"total_optimization_steps\": 80, \"probabilities\": [0.028030655401461924, 0.04773888411843568], \"optimization_time\": 17.862820625305176}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(3) @ Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(3) @ Z(9)) + 0.125 * (Z(7) @ Z(8)) + 0.125 * (Z(7) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(7) @ Z(8) @ Z(3)) + -0.125 * (Z(7) @ Z(3) @ Z(9)) + -0.125 * (Z(8) @ Z(3) @ Z(9)) + -0.125 * (Z(7) @ Z(8) @ Z(9)) + 0.125 * (Z(7) @ Z(8) @ Z(3) @ Z(9)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(7) @ Z(0)) + 0.125 * (Z(0) @ Z(10)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(4) @ Z(10)) + 0.125 * (Z(7) @ Z(10)) + -0.125 * (Z(7) @ Z(0) @ Z(4)) + -0.125 * (Z(0) @ Z(4) @ Z(10)) + -0.125 * (Z(7) @ Z(0) @ Z(10)) + -0.125 * (Z(7) @ Z(4) @ Z(10)) + 0.125 * (Z(7) @ Z(0) @ Z(4) @ Z(10)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(11) @ Z(5)) + 0.125 * (Z(8) @ Z(10)) + 0.125 * (Z(11) @ Z(8)) + 0.125 * (Z(11) @ Z(10)) + -0.125 * (Z(8) @ Z(10) @ Z(5)) + -0.125 * (Z(11) @ Z(8) @ Z(5)) + -0.125 * (Z(11) @ Z(10) @ Z(5)) + -0.125 * (Z(11) @ Z(8) @ Z(10)) + 0.125 * (Z(10) @ Z(11) @ Z(8) @ Z(5)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(11) @ Z(1)) + 0.25 * (Z(11) @ Z(6)) + -0.25 * (Z(11) @ Z(1) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.125 * Z(0) + 0.0 * Z(1) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) + 0.25 * Z(5) + 0.125 * Z(6) + 0.25 * Z(7) + 0.25 * Z(8) + -0.125 * Z(9) + 0.25 * Z(10) + 0.125 * Z(11)",16,12,3,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 36, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"010000100110\", \"100001100100\", \"001100000011\", \"100010000101\", \"100100000101\", \"001010101000\", \"010010000110\", \"001000110001\", \"001000110010\", \"010010000101\", \"100000100101\", \"010001000110\", \"100000100110\", \"001000111000\", \"101100000001\", \"100000101100\", \"011010001000\", \"001001010001\", \"100001000101\", \"001001110000\", \"001010000101\", \"010010001100\", \"001000101010\", \"011001010000\", \"001100100010\", \"101000101000\", \"110001000100\", \"001110000001\", \"001000100110\", \"010001010100\", \"001010001001\", \"001100010001\", \"010011000100\", \"001010010001\", \"010100000110\", \"011100000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.7962) q[0];\nrz(-0.0087) q[0];\nrx(0.7946) q[1];\nrz(0.0704) q[1];\nrx(0.13) q[2];\nrz(0.357) q[2];\nrx(0.7563) q[3];\nrz(0.1603) q[3];\nrx(0.7111) q[4];\nrz(0.1925) q[4];\nrx(0.797) q[5];\nrz(0.1419) q[5];\nrx(0.3761) q[6];\nrz(-0.1925) q[6];\nrx(0.4745) q[7];\nrz(0.1987) q[7];\nrx(0.7094) q[8];\nrz(0.2047) q[8];\nrx(0.7914) q[9];\nrz(0.1246) q[9];\nrx(0.7239) q[10];\nrz(0.0909) q[10];\nrx(0.3868) q[11];\nrz(0.204) q[11];\ncrz(0.121) q[1], q[0];\ncrz(0.2566) q[3], q[2];\ncrz(0.1915) q[5], q[4];\ncrz(-0.1982) q[7], q[6];\ncrz(0.224) q[9], q[8];\ncrz(0.0916) q[11], q[10];\ncrz(0.3482) q[2], q[1];\ncrz(0.1683) q[4], q[3];\ncrz(0.1793) q[6], q[5];\ncrz(0.2076) q[8], q[7];\ncrz(-0.0468) q[10], q[9];\nrx(0.7988) q[0];\nrz(-0.0543) q[0];\nrx(0.7953) q[1];\nrz(0.0725) q[1];\nrx(0.1307) q[2];\nrz(0.3473) q[2];\nrx(0.7558) q[3];\nrz(0.1837) q[3];\nrx(0.6448) q[4];\nrz(0.1885) q[4];\nrx(0.7998) q[5];\nrz(0.0036) q[5];\nrx(0.3847) q[6];\nrz(-0.196) q[6];\nrx(0.4766) q[7];\nrz(0.1988) q[7];\nrx(0.5851) q[8];\nrz(0.2005) q[8];\nrx(0.7902) q[9];\nrz(0.0956) q[9];\nrx(0.7284) q[10];\nrz(0.1006) q[10];\nrx(0.3818) q[11];\nrz(0.1984) q[11];\ncrz(0.0946) q[1], q[0];\ncrz(0.3093) q[3], q[2];\ncrz(0.1823) q[5], q[4];\ncrz(-0.1995) q[7], q[6];\ncrz(0.2128) q[9], q[8];\ncrz(0.1655) q[11], q[10];\ncrz(0.3581) q[2], q[1];\ncrz(0.1693) q[4], q[3];\ncrz(-0.1798) q[6], q[5];\ncrz(0.2087) q[8], q[7];\ncrz(0.0144) q[10], q[9];\nrx(0.7946) q[0];\nrz(0.0018) q[0];\nrx(0.7877) q[1];\nrz(0.0083) q[1];\nrx(0.1252) q[2];\nrz(0.004) q[2];\nrx(0.7534) q[3];\nrz(0.0074) q[3];\nrx(0.7222) q[4];\nrz(0.005) q[4];\nrx(0.7998) q[5];\nrz(0.0059) q[5];\nrx(0.3771) q[6];\nrz(0.0013) q[6];\nrx(0.4742) q[7];\nrz(0.0049) q[7];\nrx(0.6063) q[8];\nrz(0.0054) q[8];\nrx(0.7993) q[9];\nrz(0.007) q[9];\nrx(0.7224) q[10];\nrz(0.0057) q[10];\nrx(0.3865) q[11];\nrz(0.0034) q[11];\ncrz(0.0016) q[1], q[0];\ncrz(0.0002) q[3], q[2];\ncrz(0.0059) q[5], q[4];\ncrz(0.0058) q[7], q[6];\ncrz(0.0068) q[9], q[8];\ncrz(0.0007) q[11], q[10];\ncrz(0.0013) q[2], q[1];\ncrz(0.0056) q[4], q[3];\ncrz(0.0085) q[6], q[5];\ncrz(0.007) q[8], q[7];\ncrz(0.0012) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[1], q[0];\ncrz(x25) q[3], q[2];\ncrz(x26) q[5], q[4];\ncrz(x27) q[7], q[6];\ncrz(x28) q[9], q[8];\ncrz(x29) q[11], q[10];\ncrz(x30) q[2], q[1];\ncrz(x31) q[4], q[3];\ncrz(x32) q[6], q[5];\ncrz(x33) q[8], q[7];\ncrz(x34) q[10], q[9];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x41) q[3];\nrz(x42) q[3];\nrx(x43) q[4];\nrz(x44) q[4];\nrx(x45) q[5];\nrz(x46) q[5];\nrx(x47) q[6];\nrz(x48) q[6];\nrx(x49) q[7];\nrz(x50) q[7];\nrx(x51) q[8];\nrz(x52) q[8];\nrx(x53) q[9];\nrz(x54) q[9];\nrx(x55) q[10];\nrz(x56) q[10];\nrx(x57) q[11];\nrz(x58) q[11];\ncrz(x59) q[1], q[0];\ncrz(x60) q[3], q[2];\ncrz(x61) q[5], q[4];\ncrz(x62) q[7], q[6];\ncrz(x63) q[9], q[8];\ncrz(x64) q[11], q[10];\ncrz(x65) q[2], q[1];\ncrz(x66) q[4], q[3];\ncrz(x67) q[6], q[5];\ncrz(x68) q[8], q[7];\ncrz(x69) q[10], q[9];\nrx(x2) q[0];\nrz(x70) q[0];\nrx(x71) q[1];\nrz(x72) q[1];\nrx(x73) q[2];\nrz(x74) q[2];\nrx(x75) q[3];\nrz(x76) q[3];\nrx(x77) q[4];\nrz(x78) q[4];\nrx(x45) q[5];\nrz(x79) q[5];\nrx(x80) q[6];\nrz(x81) q[6];\nrx(x82) q[7];\nrz(x83) q[7];\nrx(x84) q[8];\nrz(x85) q[8];\nrx(x86) q[9];\nrz(x87) q[9];\nrx(x88) q[10];\nrz(x89) q[10];\nrx(x90) q[11];\nrz(x91) q[11];\ncrz(x92) q[1], q[0];\ncrz(x93) q[3], q[2];\ncrz(x79) q[5], q[4];\ncrz(x94) q[7], q[6];\ncrz(x95) q[9], q[8];\ncrz(x96) q[11], q[10];\ncrz(x81) q[2], q[1];\ncrz(x97) q[4], q[3];\ncrz(x98) q[6], q[5];\ncrz(x87) q[8], q[7];\ncrz(x99) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["89d2568fe7c642f4bbe0504cad32fa0e","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [1901, 877], \"expectation_value\": -2.1631237682677504, \"params\": [[[0.7523000000000001, 0.1279], [1.0015, -0.0004], [0.9985, 0.0011], [0.3433, -0.3291], [1.0071, 0.0018000000000000002], [1.0056, 0.0013000000000000002], [0.0789, -0.4601], [1.0073, 0.0014], [1.0091, -0.0019], [0.0019, 0.5594], [0.9999, -0.003]], [[0.7498, 0.0024000000000000002], [1.0036, 0.007], [1.0065, 0.006], [0.34600000000000003, 0.0012000000000000001], [1.0087000000000002, 0.0004], [1.0081, 0.0034000000000000002], [0.0876, 0.0085], [1.0053, 0.0002], [1.0066, 0.0056], [0.0019, 0.0058000000000000005], [1.0081, 0.0021000000000000003]]], \"bitstrings\": [\"00010010010\", \"10010010010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.038355342513436017, 0.044351971380986406], \"optimization_time\": 8.26161503791809}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(8) @ Z(7)) + -0.125 * (Z(5) @ Z(0) @ Z(7)) + -0.125 * (Z(5) @ Z(8) @ Z(0)) + -0.125 * (Z(8) @ Z(0) @ Z(7)) + -0.125 * (Z(5) @ Z(8) @ Z(7)) + 0.125 * (Z(5) @ Z(8) @ Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(10)) + 0.25 * (Z(10) @ Z(7)) + -0.25 * (Z(3) @ Z(10) @ Z(7)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(2) @ Z(9)) + 0.0625 * (Z(2) @ Z(10)) + 0.0625 * (Z(8) @ Z(4)) + 0.0625 * (Z(4) @ Z(9)) + 0.0625 * (Z(10) @ Z(4)) + 0.0625 * (Z(8) @ Z(9)) + 0.0625 * (Z(8) @ Z(10)) + 0.0625 * (Z(10) @ Z(9)) + -0.0625 * (Z(2) @ Z(4) @ Z(8)) + -0.0625 * (Z(2) @ Z(4) @ Z(9)) + -0.0625 * (Z(2) @ Z(4) @ Z(10)) + -0.0625 * (Z(2) @ Z(9) @ Z(8)) + -0.0625 * (Z(2) @ Z(10) @ Z(8)) + -0.0625 * (Z(2) @ Z(10) @ Z(9)) + -0.0625 * (Z(8) @ Z(4) @ Z(9)) + -0.0625 * (Z(8) @ Z(4) @ Z(10)) + -0.0625 * (Z(10) @ Z(4) @ Z(9)) + -0.0625 * (Z(8) @ Z(10) @ Z(9)) + 0.0625 * (Z(2) @ Z(4) @ Z(9) @ Z(8)) + 0.0625 * (Z(2) @ Z(4) @ Z(10) @ Z(8)) + 0.0625 * (Z(2) @ Z(4) @ Z(10) @ Z(9)) + 0.0625 * (Z(2) @ Z(10) @ Z(9) @ Z(8)) + 0.0625 * (Z(8) @ Z(4) @ Z(10) @ Z(9)) + -0.0625 * (Z(2) @ Z(8) @ Z(10) @ Z(4) @ Z(9)) + 0.125 * Z(0) + -0.25 * Z(1) + 0.1875 * Z(2) + -0.25 * Z(3) + -0.0625 * Z(4) + -0.125 * Z(5) + -0.5 * Z(6) + 0.125 * Z(7) + 0.3125 * Z(8) + -0.5625 * Z(9) + 0.1875 * Z(10)",1,11,2,"{\"smallest_eigenvalues\": [-4.6875, -4.6875], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.6875, \"smallest_bitstrings\": [\"01010100010\", \"10010010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.7523) q[0];\nrz(0.1279) q[0];\nrx(1.0015) q[1];\nrz(-0.0004) q[1];\nrx(0.9985) q[2];\nrz(0.0011) q[2];\nrx(0.3433) q[3];\nrz(-0.3291) q[3];\nrx(1.0071) q[4];\nrz(0.0018) q[4];\nrx(1.0056) q[5];\nrz(0.0013) q[5];\nrx(0.0789) q[6];\nrz(-0.4601) q[6];\nrx(1.0073) q[7];\nrz(0.0014) q[7];\nrx(1.0091) q[8];\nrz(-0.0019) q[8];\nrx(0.0019) q[9];\nrz(0.5594) q[9];\nrx(0.9999) q[10];\nrz(-0.003) q[10];\nrx(0.7498) q[0];\nrz(0.0024) q[0];\nrx(1.0036) q[1];\nrz(0.007) q[1];\nrx(1.0065) q[2];\nrz(0.006) q[2];\nrx(0.346) q[3];\nrz(0.0012) q[3];\nrx(1.0087) q[4];\nrz(0.0004) q[4];\nrx(1.0081) q[5];\nrz(0.0034) q[5];\nrx(0.0876) q[6];\nrz(0.0085) q[6];\nrx(1.0053) q[7];\nrz(0.0002) q[7];\nrx(1.0066) q[8];\nrz(0.0056) q[8];\nrx(0.0019) q[9];\nrz(0.0058) q[9];\nrx(1.0081) q[10];\nrz(0.0021) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nrx(x36) q[7];\nrz(x37) q[7];\nrx(x38) q[8];\nrz(x39) q[8];\nrx(x18) q[9];\nrz(x40) q[9];\nrx(x32) q[10];\nrz(x41) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["6e1cfcd2204ce1de490018a33c4c8336","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [49, 12], \"expectation_value\": -0.6704613998344705, \"params\": [[-0.0344, -0.041100000000000005, 0.0098, 0.0528], [0.046200000000000005, 0.0587, 0.0273, -0.0196]], \"bitstrings\": [\"1001110\", \"1110011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009643520466616411, 0.0097216478949577], \"optimization_time\": 9.135265827178955}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + -1.5 * Z(6) + -1.0 * Z(5) + -1.0 * Z(2)",1,7,4,"{\"smallest_eigenvalues\": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], \"number_of_smallest_eigenvalues\": 7, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0101111\", \"1001111\", \"1111100\", \"0111101\", \"1101110\", \"1110101\", \"1110011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0344) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(-0.0344) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0344) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0344) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0344) q[4];\ncx q[0], q[4];\ncx q[1], q[6];\nrz(-0.0344) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0344) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(-0.0344) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0344) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(-0.0344) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0344) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(-0.0344) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0344) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0344) q[2];\ncx q[5], q[2];\nrz(0.1376) q[1];\nrz(0.1032) q[0];\nrz(0.1032) q[3];\nrz(0.1376) q[4];\nrz(0.1032) q[6];\nrz(0.0688) q[5];\nrz(0.0688) q[2];\nh q[0];\nrz(0.0924) q[0];\nh q[0];\nh q[1];\nrz(0.0924) q[1];\nh q[1];\nh q[2];\nrz(0.0924) q[2];\nh q[2];\nh q[3];\nrz(0.0924) q[3];\nh q[3];\nh q[4];\nrz(0.0924) q[4];\nh q[4];\nh q[5];\nrz(0.0924) q[5];\nh q[5];\nh q[6];\nrz(0.0924) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0411) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(-0.0411) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0411) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0411) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0411) q[4];\ncx q[0], q[4];\ncx q[1], q[6];\nrz(-0.0411) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0411) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(-0.0411) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0411) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(-0.0411) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0411) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(-0.0411) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0411) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0411) q[2];\ncx q[5], q[2];\nrz(0.1644) q[1];\nrz(0.1233) q[0];\nrz(0.1233) q[3];\nrz(0.1644) q[4];\nrz(0.1233) q[6];\nrz(0.0822) q[5];\nrz(0.0822) q[2];\nh q[0];\nrz(0.1174) q[0];\nh q[0];\nh q[1];\nrz(0.1174) q[1];\nh q[1];\nh q[2];\nrz(0.1174) q[2];\nh q[2];\nh q[3];\nrz(0.1174) q[3];\nh q[3];\nh q[4];\nrz(0.1174) q[4];\nh q[4];\nh q[5];\nrz(0.1174) q[5];\nh q[5];\nh q[6];\nrz(0.1174) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.0098) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.0098) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0098) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0098) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0098) q[4];\ncx q[0], q[4];\ncx q[1], q[6];\nrz(0.0098) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0098) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0098) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0098) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(0.0098) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.0098) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(0.0098) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0098) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(0.0098) q[2];\ncx q[5], q[2];\nrz(-0.0392) q[1];\nrz(-0.0294) q[0];\nrz(-0.0294) q[3];\nrz(-0.0392) q[4];\nrz(-0.0294) q[6];\nrz(-0.0196) q[5];\nrz(-0.0196) q[2];\nh q[0];\nrz(0.0546) q[0];\nh q[0];\nh q[1];\nrz(0.0546) q[1];\nh q[1];\nh q[2];\nrz(0.0546) q[2];\nh q[2];\nh q[3];\nrz(0.0546) q[3];\nh q[3];\nh q[4];\nrz(0.0546) q[4];\nh q[4];\nh q[5];\nrz(0.0546) q[5];\nh q[5];\nh q[6];\nrz(0.0546) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.0528) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.0528) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0528) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0528) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0528) q[4];\ncx q[0], q[4];\ncx q[1], q[6];\nrz(0.0528) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0528) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0528) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0528) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(0.0528) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.0528) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(0.0528) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0528) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(0.0528) q[2];\ncx q[5], q[2];\nrz(-0.2112) q[1];\nrz(-0.1584) q[0];\nrz(-0.1584) q[3];\nrz(-0.2112) q[4];\nrz(-0.1584) q[6];\nrz(-0.1056) q[5];\nrz(-0.1056) q[2];\nh q[0];\nrz(-0.0392) q[0];\nh q[0];\nh q[1];\nrz(-0.0392) q[1];\nh q[1];\nh q[2];\nrz(-0.0392) q[2];\nh q[2];\nh q[3];\nrz(-0.0392) q[3];\nh q[3];\nh q[4];\nrz(-0.0392) q[4];\nh q[4];\nh q[5];\nrz(-0.0392) q[5];\nh q[5];\nh q[6];\nrz(-0.0392) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x2) q[3];\nrz(x1) q[4];\nrz(x2) q[6];\nrz(x3) q[5];\nrz(x3) q[2];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x5) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x5) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x5) q[4];\ncx q[0], q[4];\ncx q[1], q[6];\nrz(x5) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x5) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x5) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x5) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(x5) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x5) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(x5) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x5) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x5) q[2];\ncx q[5], q[2];\nrz(x6) q[1];\nrz(x7) q[0];\nrz(x7) q[3];\nrz(x6) q[4];\nrz(x7) q[6];\nrz(x8) q[5];\nrz(x8) q[2];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[1], q[6];\nrz(x10) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x10) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x10) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x10) q[2];\ncx q[5], q[2];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x12) q[3];\nrz(x11) q[4];\nrz(x12) q[6];\nrz(x13) q[5];\nrz(x13) q[2];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nh q[4];\nrz(x14) q[4];\nh q[4];\nh q[5];\nrz(x14) q[5];\nh q[5];\nh q[6];\nrz(x14) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x15) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x15) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x15) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x15) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x15) q[4];\ncx q[0], q[4];\ncx q[1], q[6];\nrz(x15) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x15) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x15) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x15) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(x15) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x15) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(x15) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x15) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x15) q[2];\ncx q[5], q[2];\nrz(x16) q[1];\nrz(x17) q[0];\nrz(x17) q[3];\nrz(x16) q[4];\nrz(x17) q[6];\nrz(x18) q[5];\nrz(x18) q[2];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["04261bf7aedc4254a6640ff634a8faee","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [10, 42], \"expectation_value\": -6.48739935787568, \"params\": [[0.0004, -0.0217, 0.39830000000000004, 0.0868, 0.4058, 0.1369, 0.4076, 0.0058000000000000005], [-0.0039000000000000003, -0.0161, 0.3955, 0.06330000000000001, 0.3997, 0.1313, 0.4062, 0.0041], [-0.0027, -0.0235, 0.3564, 0.08700000000000001, 0.4088, 0.1734, 0.40490000000000004, 0.004], [-0.006500000000000001, -0.013000000000000001, 0.3956, 0.06380000000000001, 0.40390000000000004, 0.1578, 0.4027, 0.0048000000000000004], [-0.0055000000000000005, -0.014400000000000001, 0.3255, 0.0575, 0.4021, 0.3355, 0.4006, 0.010700000000000001]], \"bitstrings\": [\"11110101\", \"11010101\"], \"total_optimization_steps\": 40, \"probabilities\": [0.16141481678951794, 0.2990477056663355], \"optimization_time\": 4.365000009536743}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -2.5 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -2.0 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) + -2.5 * Z(7) + -1.0 * Z(5)",10,8,4,"{\"smallest_eigenvalues\": [-7.5, -7.5, -7.5, -7.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"11110001\", \"11100101\", \"01110011\", \"11010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.0004) q[0];\nry(-0.0217) q[1];\nry(0.3983) q[2];\nry(0.0868) q[3];\nry(0.4058) q[4];\nry(0.1369) q[5];\nry(0.4076) q[6];\nry(0.0058) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(-0.0039) q[0];\nry(-0.0161) q[1];\nry(0.3955) q[2];\nry(0.0633) q[3];\nry(0.3997) q[4];\nry(0.1313) q[5];\nry(0.4062) q[6];\nry(0.0041) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(-0.0027) q[0];\nry(-0.0235) q[1];\nry(0.3564) q[2];\nry(0.087) q[3];\nry(0.4088) q[4];\nry(0.1734) q[5];\nry(0.4049) q[6];\nry(0.004) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(-0.0065) q[0];\nry(-0.013) q[1];\nry(0.3956) q[2];\nry(0.0638) q[3];\nry(0.4039) q[4];\nry(0.1578) q[5];\nry(0.4027) q[6];\nry(0.0048) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(-0.0055) q[0];\nry(-0.0144) q[1];\nry(0.3255) q[2];\nry(0.0575) q[3];\nry(0.4021) q[4];\nry(0.3355) q[5];\nry(0.4006) q[6];\nry(0.0107) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x16) q[0];\nry(x17) q[1];\nry(x18) q[2];\nry(x19) q[3];\nry(x20) q[4];\nry(x21) q[5];\nry(x22) q[6];\nry(x23) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x32) q[0];\nry(x33) q[1];\nry(x34) q[2];\nry(x35) q[3];\nry(x36) q[4];\nry(x37) q[5];\nry(x38) q[6];\nry(x39) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["bbe36c72142a04c8b1698fed3f77c25c","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}]}","{\"states\": [3, 19], \"expectation_value\": -0.2485801352489507, \"params\": [[-0.035300000000000005, -0.0664], [0.0291, 0.064]], \"bitstrings\": [\"11100\", \"01100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.03457483958763508, 0.03735340258149718], \"optimization_time\": 2.7013230323791504}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4)",1,5,2,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"01100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(-0.0353) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0353) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0353) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0353) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0353) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0353) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.0353) q[4];\ncx q[2], q[4];\nrz(0.1059) q[1];\nrz(0.0353) q[0];\nrz(0.1059) q[2];\nrz(0.0353) q[3];\nrz(0.0353) q[4];\nh q[0];\nrz(0.0582) q[0];\nh q[0];\nh q[1];\nrz(0.0582) q[1];\nh q[1];\nh q[2];\nrz(0.0582) q[2];\nh q[2];\nh q[3];\nrz(0.0582) q[3];\nh q[3];\nh q[4];\nrz(0.0582) q[4];\nh q[4];\ncx q[1], q[0];\nrz(-0.0664) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0664) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0664) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0664) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0664) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0664) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.0664) q[4];\ncx q[2], q[4];\nrz(0.1992) q[1];\nrz(0.0664) q[0];\nrz(0.1992) q[2];\nrz(0.0664) q[3];\nrz(0.0664) q[4];\nh q[0];\nrz(0.128) q[0];\nh q[0];\nh q[1];\nrz(0.128) q[1];\nh q[1];\nh q[2];\nrz(0.128) q[2];\nh q[2];\nh q[3];\nrz(0.128) q[3];\nh q[3];\nh q[4];\nrz(0.128) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x1) q[2];\nrz(x2) q[3];\nrz(x2) q[4];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x4) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x4) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x4) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x4) q[4];\ncx q[2], q[4];\nrz(x5) q[1];\nrz(x6) q[0];\nrz(x5) q[2];\nrz(x6) q[3];\nrz(x6) q[4];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["3bcfe4648282d1b3b76d6f42e87e5c5d","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [28, 44], \"expectation_value\": -3.996398041568144, \"params\": null, \"bitstrings\": [\"100011\", \"010011\"], \"total_optimization_steps\": 25, \"probabilities\": [0.06635196634064289, 0.9303270202946885], \"optimization_time\": 16.385672569274902}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"100011\", \"010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.4449) q[4];\nry(1.4417) q[3];\nry(1.4417) q[2];\ncry(-1.0342) q[0], q[1];\nry(0.7003) q[0];\ncry(-0.1259) q[3], q[4];\nry(-0.4549) q[1];\ncry(0.4962) q[3], q[0];\ncry(-0.3788) q[3], q[1];\ncry(0.2489) q[2], q[0];\ncry(-0.1488) q[2], q[1];\ncry(0.121) q[3], q[2];\ncry(0.1183) q[2], q[3];\ncry(-0.0227) q[1], q[0];\ncry(-0.0005) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\ncry(-0.0227) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\ncry(-0.0227) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\ncry(-0.0227) q[1], q[0];\\ncry(-0.0005) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\ncry(-0.0227) q[1], q[0];\\ncry(-0.0005) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[4];\\nry(1.4417) q[3];\\nry(1.4417) q[2];\\ncry(-1.0342) q[0], q[1];\\nry(0.7003) q[0];\\ncry(-0.1259) q[3], q[4];\\nry(-0.4549) q[1];\\ncry(0.4962) q[3], q[0];\\ncry(-0.3788) q[3], q[1];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[1];\\ncry(0.121) q[3], q[2];\\ncry(0.1183) q[2], q[3];\\ncry(-0.0227) q[1], q[0];\\ncry(-0.0005) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [2.0102, 0.503, 0.4961, 0.4958, 0.2509, 0.2451, 0.1917, 0.1886, 0.2236, 0.1882, 0.1273, 0.0785, 0.0628, 0.0615, 0.01, 0.0075, 0.0075, 0.006, 0.005, 0.005, 0.0049, 0.0045, 0.0037, 0.003, 0.0028]}"]
["8849535939045375013","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[2, 4, 5], [0, 2, 5], [0, 4, 7], [3, 6], [8, 2, 6], [4, 6], [8, 1]]}","{\"states\": [496, 369], \"expectation_value\": -2.6027635999642413, \"params\": null, \"bitstrings\": [\"000001111\", \"010001110\"], \"total_optimization_steps\": 65, \"probabilities\": [0.05394599600642732, 0.7861962139118777], \"optimization_time\": 89.45939803123474}","0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.33333333333333326 * Z(4) + 0.4999999999999999 * Z(2) + 0.3333333333333333 * Z(5) + 0.3333333333333333 * Z(0) + 0.16666666666666666 * Z(7) + 0.16666666666666674 * Z(6) + 0.0 * Z(3) + 0.16666666666666663 * Z(8) + 0.0 * Z(1)",1,9,1,"{\"smallest_eigenvalues\": [-2.8333333333333335], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5000000000000004, \"smallest_bitstrings\": [\"010001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4449) q[2];\ncry(-1.0324) q[4], q[6];\nry(0.9726) q[4];\ncry(-0.8041) q[3], q[6];\ncry(1.1651) q[4], q[3];\nry(-0.3295) q[6];\ncry(-1.0342) q[8], q[1];\nry(0.9179) q[8];\nry(-0.6248) q[1];\ncry(0.456) q[2], q[8];\ncry(0.4301) q[3], q[4];\ncry(-0.3105) q[2], q[1];\ncry(-0.6944) q[0], q[5];\ncry(-0.4457) q[4], q[5];\nry(0.6159) q[0];\ncry(-0.3952) q[2], q[5];\ncry(0.4879) q[2], q[0];\ncry(-0.5994) q[4], q[7];\ncry(-0.1041) q[2], q[6];\nry(0.2673) q[3];\ncry(-0.4097) q[0], q[7];\ncry(0.2799) q[8], q[0];\nry(-0.2671) q[5];\ncry(0.1432) q[0], q[8];\ncry(-0.2488) q[3], q[7];\ncry(-0.0577) q[8], q[6];\ncry(0.0793) q[2], q[4];\ncry(0.1074) q[0], q[2];\ncry(-0.0865) q[0], q[1];\ncry(0.1253) q[3], q[0];\ncry(-0.1871) q[6], q[3];\ncry(-0.1191) q[2], q[7];\ncry(-0.079) q[8], q[5];\ncry(0.0438) q[4], q[8];\ncry(0.0527) q[2], q[3];\ncry(0.0465) q[4], q[0];\nry(-0.063) q[7];\ncry(-0.0761) q[6], q[4];\ncry(0.0283) q[0], q[6];\ncry(-0.0244) q[4], q[1];\ncry(0.0536) q[7], q[6];\ncry(-0.0269) q[3], q[5];\ncry(0.0429) q[6], q[7];\ncry(-0.0293) q[8], q[7];\ncry(0.0298) q[1], q[0];\ncry(0.0111) q[3], q[8];\ncry(0.0138) q[3], q[2];\ncry(-0.0253) q[7], q[3];\ncry(-0.0076) q[0], q[3];\ncry(0.0222) q[5], q[7];\ncry(-0.0071) q[3], q[1];\ncry(0.0181) q[6], q[0];\ncry(0.016) q[5], q[6];\ncry(-0.0135) q[7], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":71628,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.4449) q[2];\\ncry(-1.0324) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.4449) q[2];\\ncry(-1.0324) q[4], q[6];\\nry(0.9726) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.4449) q[2];\\ncry(-1.0324) q[4], q[6];\\nry(0.9726) q[4];\\ncry(-0.8041) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.4449) q[2];\\ncry(-1.0324) q[4], q[6];\\nry(0.9726) q[4];\\ncry(-0.8041) q[3], q[6];\\ncry(1.1651) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.4449) q[2];\\ncry(-1.0324) q[4], q[6];\\nry(0.9726) q[4];\\ncry(-0.8041) q[3], q[6];\\ncry(1.1651) q[4], q[3];\\nry(-0.3295) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.4449) q[2];\\ncry(-1.0324) q[4], q[6];\\nry(0.9726) q[4];\\ncry(-0.8041) q[3], q[6];\\ncry(1.1651) q[4], q[3];\\nry(-0.3295) q[6];\\ncry(-1.0342) q[8], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.4449) q[2];\\ncry(-1.0324) q[4], q[6];\\nry(0.9726) q[4];\\ncry(-0.8041) q[3], q[6];\\ncry(1.1651) q[4], q[3];\\nry(-0.3295) q[6];\\ncry(-1.0342) q[8], q[1];\\nry(0.9179) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.4449) q[2];\\ncry(-1.0324) q[4], q[6];\\nry(0.9726) q[4];\\ncry(-0.8041) q[3], q[6];\\ncry(1.1651) q[4], q[3];\\nry(-0.3295) q[6];\\ncry(-1.0342) q[8], q[1];\\nry(0.9179) q[8];\\nry(-0.6248) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc["}}]
["3fb92c2724b637b3a6562529e78f511e","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 4}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 6, \"source\": 1, \"target\": 5}, {\"weight\": 13, \"source\": 1, \"target\": 4}, {\"weight\": 18, \"source\": 1, \"target\": 7}, {\"weight\": 6, \"source\": 2, \"target\": 6}, {\"weight\": 17, \"source\": 2, \"target\": 5}, {\"weight\": 1, \"source\": 3, \"target\": 7}, {\"weight\": 18, \"source\": 3, \"target\": 4}]}","{\"states\": [345, 218], \"expectation_value\": -19.087312766935945, \"params\": [[0.043500000000000004, 0.0039000000000000003], [-0.08700000000000001, -0.055200000000000006]], \"bitstrings\": [\"010100110\", \"100100101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.007097493056487517, 0.008887156259703592], \"optimization_time\": 3.1964147090911865}","4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 10.0 * Z(1) + 18.0 * Z(4) + 15.5 * Z(2) + 7.5 * Z(3) + 8.5 * Z(5) + -1.5 * Z(6) + 5.0 * Z(8) + 13.5 * Z(7)",1,9,2,"{\"smallest_eigenvalues\": [-76.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -68.5, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[0], q[1];\nrz(0.3915) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(0.3915) q[4];\ncx q[1], q[4];\ncx q[0], q[2];\nrz(0.3915) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(0.3915) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(0.3915) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(0.3915) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(0.3915) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(0.3915) q[6];\ncx q[5], q[6];\ncx q[1], q[8];\nrz(0.3915) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(0.3915) q[8];\ncx q[4], q[8];\ncx q[0], q[7];\nrz(0.3915) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.3915) q[7];\ncx q[2], q[7];\ncx q[8], q[7];\nrz(0.3915) q[7];\ncx q[8], q[7];\nrz(0.8265) q[0];\nrz(0.87) q[1];\nrz(1.566) q[4];\nrz(1.3485) q[2];\nrz(0.6525) q[3];\nrz(0.7395) q[5];\nrz(-0.1305) q[6];\nrz(0.435) q[8];\nrz(1.1745) q[7];\nh q[0];\nrz(-0.174) q[0];\nh q[0];\nh q[1];\nrz(-0.174) q[1];\nh q[1];\nh q[2];\nrz(-0.174) q[2];\nh q[2];\nh q[3];\nrz(-0.174) q[3];\nh q[3];\nh q[4];\nrz(-0.174) q[4];\nh q[4];\nh q[5];\nrz(-0.174) q[5];\nh q[5];\nh q[6];\nrz(-0.174) q[6];\nh q[6];\nh q[7];\nrz(-0.174) q[7];\nh q[7];\nh q[8];\nrz(-0.174) q[8];\nh q[8];\ncx q[0], q[1];\nrz(0.0351) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(0.0351) q[4];\ncx q[1], q[4];\ncx q[0], q[2];\nrz(0.0351) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(0.0351) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(0.0351) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(0.0351) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(0.0351) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(0.0351) q[6];\ncx q[5], q[6];\ncx q[1], q[8];\nrz(0.0351) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(0.0351) q[8];\ncx q[4], q[8];\ncx q[0], q[7];\nrz(0.0351) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.0351) q[7];\ncx q[2], q[7];\ncx q[8], q[7];\nrz(0.0351) q[7];\ncx q[8], q[7];\nrz(0.0741) q[0];\nrz(0.078) q[1];\nrz(0.1404) q[4];\nrz(0.1209) q[2];\nrz(0.0585) q[3];\nrz(0.0663) q[5];\nrz(-0.0117) q[6];\nrz(0.039) q[8];\nrz(0.1053) q[7];\nh q[0];\nrz(-0.1104) q[0];\nh q[0];\nh q[1];\nrz(-0.1104) q[1];\nh q[1];\nh q[2];\nrz(-0.1104) q[2];\nh q[2];\nh q[3];\nrz(-0.1104) q[3];\nh q[3];\nh q[4];\nrz(-0.1104) q[4];\nh q[4];\nh q[5];\nrz(-0.1104) q[5];\nh q[5];\nh q[6];\nrz(-0.1104) q[6];\nh q[6];\nh q[7];\nrz(-0.1104) q[7];\nh q[7];\nh q[8];\nrz(-0.1104) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\nrz(x1) q[0];\nrz(x2) q[1];\nrz(x3) q[4];\nrz(x4) q[2];\nrz(x5) q[3];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[8];\nrz(x9) q[7];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[0], q[1];\nrz(x11) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(x11) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x11) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x11) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(x11) q[6];\ncx q[5], q[6];\ncx q[1], q[8];\nrz(x11) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x11) q[8];\ncx q[4], q[8];\ncx q[0], q[7];\nrz(x11) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x11) q[7];\ncx q[2], q[7];\ncx q[8], q[7];\nrz(x11) q[7];\ncx q[8], q[7];\nrz(x12) q[0];\nrz(x13) q[1];\nrz(x14) q[4];\nrz(x15) q[2];\nrz(x16) q[3];\nrz(x17) q[5];\nrz(x18) q[6];\nrz(x19) q[8];\nrz(x20) q[7];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["894479305bde5e958cd01ff3ac905165","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 5}, {\"weight\": 15, \"source\": 0, \"target\": 6}, {\"weight\": 5, \"source\": 1, \"target\": 6}, {\"weight\": 19, \"source\": 1, \"target\": 9}, {\"weight\": 3, \"source\": 2, \"target\": 7}, {\"weight\": 20, \"source\": 2, \"target\": 5}, {\"weight\": 9, \"source\": 3, \"target\": 8}, {\"weight\": 11, \"source\": 3, \"target\": 5}, {\"weight\": 11, \"source\": 3, \"target\": 6}, {\"weight\": 6, \"source\": 4, \"target\": 9}]}","{\"states\": [876, 364], \"expectation_value\": -95.57811765838603, \"params\": [[[0.6225, -0.0022], [0.8192, -0.0026000000000000003], [0.0506, 0.0102], [0.532, 0.3413], [0.2826, 0.5607], [0.060500000000000005, 0.6294000000000001], [0.007500000000000001, 0.9837], [0.18680000000000002, 0.9444], [0.6445000000000001, 0.8271000000000001], [0.5889, 0.46480000000000005]], [[0.9687, 0.0012000000000000001], [0.8257, 0.0038], [-0.013300000000000001, -0.0128], [0.8449000000000001, -0.098], [0.8852000000000001, -0.0029000000000000002], [-0.2164, 0.23070000000000002], [0.055200000000000006, 0.6322], [-0.252, 0.5397000000000001], [0.2132, 0.7365], [0.6754, 0.4642]], [[0.663, -0.006], [0.7576, 0.0001], [-0.051300000000000005, -0.0036000000000000003], [0.8676, 0.0037], [0.8704000000000001, 0.0001], [-0.17800000000000002, 0.0063], [0.5699000000000001, 0.22310000000000002], [0.7489, -0.046900000000000004], [0.3165, -0.021], [0.5772, 0.8156]], [[0.9740000000000001, 0.0027], [0.7527, -0.0006000000000000001], [0.0054, -0.00030000000000000003], [0.8562000000000001, 0.0016], [0.8784000000000001, -0.027100000000000003], [-0.3078, 0.0358], [0.9434, -0.1915], [0.9708, 0.0059], [0.6231, -0.52], [0.2273, 0.7885000000000001]]], \"bitstrings\": [\"0010010011\", \"1010010011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.3743312329492166, 0.4387966584952915], \"optimization_time\": 55.780203342437744}","6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(3)) + 14.0 * Z(1) + 11.0 * Z(0) + 9.0 * Z(2) + 9.5 * Z(3) + 16.5 * Z(4) + -5.0 * Z(5) + 18.5 * Z(6) + 4.5 * Z(8) + 18.5 * Z(7) + -3.5 * Z(9)",15,10,4,"{\"smallest_eigenvalues\": [-106.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -89.5, \"smallest_bitstrings\": [\"1010010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.6225) q[0];\nry(0.8192) q[1];\nry(0.0506) q[2];\nry(0.532) q[3];\nry(0.2826) q[4];\nry(0.0605) q[5];\nry(0.0075) q[6];\nry(0.1868) q[7];\nry(0.6445) q[8];\nry(0.5889) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0022) q[0];\nry(-0.0026) q[1];\nry(0.0102) q[2];\nry(0.3413) q[3];\nry(0.5607) q[4];\nry(0.6294) q[5];\nry(0.9837) q[6];\nry(0.9444) q[7];\nry(0.8271) q[8];\nry(0.4648) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.9687) q[0];\nry(0.8257) q[1];\nry(-0.0133) q[2];\nry(0.8449) q[3];\nry(0.8852) q[4];\nry(-0.2164) q[5];\nry(0.0552) q[6];\nry(-0.252) q[7];\nry(0.2132) q[8];\nry(0.6754) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0012) q[0];\nry(0.0038) q[1];\nry(-0.0128) q[2];\nry(-0.098) q[3];\nry(-0.0029) q[4];\nry(0.2307) q[5];\nry(0.6322) q[6];\nry(0.5397) q[7];\nry(0.7365) q[8];\nry(0.4642) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.663) q[0];\nry(0.7576) q[1];\nry(-0.0513) q[2];\nry(0.8676) q[3];\nry(0.8704) q[4];\nry(-0.178) q[5];\nry(0.5699) q[6];\nry(0.7489) q[7];\nry(0.3165) q[8];\nry(0.5772) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.006) q[0];\nry(0.0001) q[1];\nry(-0.0036) q[2];\nry(0.0037) q[3];\nry(0.0001) q[4];\nry(0.0063) q[5];\nry(0.2231) q[6];\nry(-0.0469) q[7];\nry(-0.021) q[8];\nry(0.8156) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.974) q[0];\nry(0.7527) q[1];\nry(0.0054) q[2];\nry(0.8562) q[3];\nry(0.8784) q[4];\nry(-0.3078) q[5];\nry(0.9434) q[6];\nry(0.9708) q[7];\nry(0.6231) q[8];\nry(0.2273) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0027) q[0];\nry(-0.0006) q[1];\nry(-0.0003) q[2];\nry(0.0016) q[3];\nry(-0.0271) q[4];\nry(0.0358) q[5];\nry(-0.1915) q[6];\nry(0.0059) q[7];\nry(-0.52) q[8];\nry(0.7885) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x17) q[7];\nry(x18) q[8];\nry(x19) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x30) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x38) q[8];\nry(x39) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x40) q[0];\nry(x41) q[1];\nry(x42) q[2];\nry(x43) q[3];\nry(x44) q[4];\nry(x45) q[5];\nry(x46) q[6];\nry(x47) q[7];\nry(x48) q[8];\nry(x49) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x50) q[0];\nry(x51) q[1];\nry(x52) q[2];\nry(x53) q[3];\nry(x51) q[4];\nry(x54) q[5];\nry(x55) q[6];\nry(x56) q[7];\nry(x57) q[8];\nry(x58) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x59) q[0];\nry(x60) q[1];\nry(x61) q[2];\nry(x62) q[3];\nry(x63) q[4];\nry(x64) q[5];\nry(x65) q[6];\nry(x66) q[7];\nry(x67) q[8];\nry(x68) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x69) q[0];\nry(x70) q[1];\nry(x71) q[2];\nry(x72) q[3];\nry(x73) q[4];\nry(x74) q[5];\nry(x75) q[6];\nry(x76) q[7];\nry(x77) q[8];\nry(x78) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4], \\\"right_nodes\\\": [5, 6, 7, 8, 9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["1c3920daabb0227a05492f21ea1e8a94","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [3414, 1879], \"expectation_value\": -2.930246549774751, \"params\": [[[1.568, -1.5679], [-1.2696, 1.5677], [1.5690000000000002, 1.5709000000000002], [-0.0323, 1.5590000000000002], [1.5699, 1.5659], [1.5687, 1.5688], [1.5679, 1.5729], [1.5684, 1.5678], [1.5678, 1.5687], [1.5684, 1.5687], [1.5687, 1.5685], [1.568, 1.5737]]], \"bitstrings\": [\"001010101001\", \"100010101000\"], \"total_optimization_steps\": 240, \"probabilities\": [0.4729241977220531, 0.5044984034884882], \"optimization_time\": 11.807854652404785}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(5) @ Z(8) @ Z(9)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(10) @ Z(1)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(10) @ Z(3)) + 0.125 * (Z(10) @ Z(8)) + -0.125 * (Z(1) @ Z(8) @ Z(3)) + -0.125 * (Z(10) @ Z(1) @ Z(3)) + -0.125 * (Z(10) @ Z(1) @ Z(8)) + -0.125 * (Z(10) @ Z(8) @ Z(3)) + 0.125 * (Z(10) @ Z(1) @ Z(8) @ Z(3)) + 0.25 * (Z(10) @ Z(6)) + 0.25 * (Z(6) @ Z(11)) + 0.25 * (Z(10) @ Z(11)) + -0.25 * (Z(10) @ Z(6) @ Z(11)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(7) @ Z(2)) + 0.0625 * (Z(9) @ Z(2)) + 0.0625 * (Z(11) @ Z(2)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(4) @ Z(9)) + 0.0625 * (Z(4) @ Z(11)) + 0.0625 * (Z(7) @ Z(9)) + 0.0625 * (Z(7) @ Z(11)) + 0.0625 * (Z(11) @ Z(9)) + -0.0625 * (Z(4) @ Z(7) @ Z(2)) + -0.0625 * (Z(4) @ Z(9) @ Z(2)) + -0.0625 * (Z(4) @ Z(11) @ Z(2)) + -0.0625 * (Z(7) @ Z(9) @ Z(2)) + -0.0625 * (Z(7) @ Z(11) @ Z(2)) + -0.0625 * (Z(9) @ Z(11) @ Z(2)) + -0.0625 * (Z(4) @ Z(7) @ Z(9)) + -0.0625 * (Z(4) @ Z(7) @ Z(11)) + -0.0625 * (Z(4) @ Z(11) @ Z(9)) + -0.0625 * (Z(7) @ Z(11) @ Z(9)) + 0.0625 * (Z(4) @ Z(7) @ Z(9) @ Z(2)) + 0.0625 * (Z(4) @ Z(7) @ Z(11) @ Z(2)) + 0.0625 * (Z(4) @ Z(9) @ Z(11) @ Z(2)) + 0.0625 * (Z(9) @ Z(7) @ Z(11) @ Z(2)) + 0.0625 * (Z(4) @ Z(7) @ Z(11) @ Z(9)) + -0.0625 * (Z(2) @ Z(7) @ Z(11) @ Z(9) @ Z(4)) + 0.0 * Z(0) + 0.125 * Z(1) + 0.1875 * Z(2) + 0.125 * Z(3) + 0.1875 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + 0.1875 * Z(7) + 0.125 * Z(8) + 0.1875 * Z(9) + 0.125 * Z(10) + 0.1875 * Z(11)",15,12,1,"{\"smallest_eigenvalues\": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], \"number_of_smallest_eigenvalues\": 33, \"first_excited_energy\": -2.4375, \"smallest_bitstrings\": [\"110000100100\", \"101000101000\", \"001010101000\", \"100101000001\", \"010100100100\", \"010101000001\", \"100000100110\", \"100001010010\", \"100000011010\", \"100000011001\", \"100000010110\", \"001101000010\", \"001101000001\", \"001101100000\", \"100000111000\", \"100000101100\", \"100000101001\", \"100011000010\", \"100010101000\", \"001100101000\", \"001100100100\", \"100001001001\", \"100001000110\", \"100001000011\", \"100100100100\", \"001011000010\", \"110001000001\", \"101001000010\", \"010011100000\", \"010010101000\", \"010010100100\", \"010011000010\", \"010011000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(1.568) q[0];\nry(-1.2696) q[1];\nry(1.569) q[2];\nry(-0.0323) q[3];\nry(1.5699) q[4];\nry(1.5687) q[5];\nry(1.5679) q[6];\nry(1.5684) q[7];\nry(1.5678) q[8];\nry(1.5684) q[9];\nry(1.5687) q[10];\nry(1.568) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-1.5679) q[0];\nry(1.5677) q[1];\nry(1.5709) q[2];\nry(1.559) q[3];\nry(1.5659) q[4];\nry(1.5688) q[5];\nry(1.5729) q[6];\nry(1.5678) q[7];\nry(1.5687) q[8];\nry(1.5687) q[9];\nry(1.5685) q[10];\nry(1.5737) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x7) q[9];\nry(x5) q[10];\nry(x0) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x8) q[7];\nry(x5) q[8];\nry(x5) q[9];\nry(x16) q[10];\nry(x17) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["2500973695191569336","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 3, 4, 5], [2, 3, 4, 6], [0, 2], [0, 1, 4, 6], [0, 3, 5, 6], [1, 3, 6], [2, 3, 5, 6]]}","{\"states\": [77, 55], \"expectation_value\": -0.6690870172332071, \"params\": [[-0.2647], [0.2657]], \"bitstrings\": [\"0110010\", \"1001000\"], \"total_optimization_steps\": 30, \"probabilities\": [0.014928970465685589, 0.01506912650029915], \"optimization_time\": 2.798861026763916}","0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.41666666666666663 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.6666666666666666 * Z(3) + 0.41666666666666674 * Z(1) + 0.375 * Z(4) + 0.375 * Z(5) + 0.25 * Z(2) + 0.6666666666666666 * Z(6) + 0.2499999999999999 * Z(0)",1,7,1,"{\"smallest_eigenvalues\": [-2.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.9166666666666665, \"smallest_bitstrings\": [\"1001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[1];\nrz(-0.1323) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(-0.0882) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(-0.0882) q[4];\ncx q[1], q[4];\ncx q[3], q[5];\nrz(-0.1323) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.0441) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0441) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(-0.0882) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0441) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0441) q[2];\ncx q[5], q[2];\ncx q[3], q[6];\nrz(-0.2206) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(-0.1323) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(-0.0882) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0882) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(-0.0882) q[6];\ncx q[2], q[6];\ncx q[3], q[0];\nrz(-0.0441) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(-0.0441) q[0];\ncx q[1], q[0];\ncx q[4], q[0];\nrz(-0.0441) q[0];\ncx q[4], q[0];\ncx q[5], q[0];\nrz(-0.0441) q[0];\ncx q[5], q[0];\ncx q[2], q[0];\nrz(-0.2647) q[0];\ncx q[2], q[0];\ncx q[6], q[0];\nrz(-0.0882) q[0];\ncx q[6], q[0];\nrz(-0.3529) q[3];\nrz(-0.2206) q[1];\nrz(-0.1985) q[4];\nrz(-0.1985) q[5];\nrz(-0.1323) q[2];\nrz(-0.3529) q[6];\nrz(-0.1323) q[0];\nh q[0];\nrz(0.5314) q[0];\nh q[0];\nh q[1];\nrz(0.5314) q[1];\nh q[1];\nh q[2];\nrz(0.5314) q[2];\nh q[2];\nh q[3];\nrz(0.5314) q[3];\nh q[3];\nh q[4];\nrz(0.5314) q[4];\nh q[4];\nh q[5];\nrz(0.5314) q[5];\nh q[5];\nh q[6];\nrz(0.5314) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x2) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x2) q[2];\ncx q[5], q[2];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(x2) q[0];\ncx q[1], q[0];\ncx q[4], q[0];\nrz(x2) q[0];\ncx q[4], q[0];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[2], q[0];\nrz(x4) q[0];\ncx q[2], q[0];\ncx q[6], q[0];\nrz(x1) q[0];\ncx q[6], q[0];\nrz(x5) q[3];\nrz(x3) q[1];\nrz(x6) q[4];\nrz(x6) q[5];\nrz(x0) q[2];\nrz(x5) q[6];\nrz(x0) q[0];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["-4110772197468043772","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[3, 4], [1, 2], [0, 6], [1, 6], [0, 3], [2, 6], [3, 6], [0, 2], [0, 4], [2, 5], [1, 5]]}","{\"states\": [67, 106], \"expectation_value\": -0.07620924606728842, \"params\": [[0.0648], [-0.054400000000000004]], \"bitstrings\": [\"0111100\", \"0010101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008371137537822685, 0.008371137537822685], \"optimization_time\": 0.5615367889404297}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 10, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"1000111\", \"1101010\", \"0010111\", \"0111100\", \"1111000\", \"0010101\", \"0111000\", \"0000111\", \"1000011\", \"1101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[3];\nrz(0.0648) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\nrz(0.0648) q[1];\ncx q[2], q[1];\ncx q[4], q[0];\nrz(0.0648) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(0.0648) q[0];\ncx q[3], q[0];\ncx q[2], q[0];\nrz(0.0648) q[0];\ncx q[2], q[0];\ncx q[3], q[6];\nrz(0.0648) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(0.0648) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(0.0648) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0648) q[6];\ncx q[0], q[6];\ncx q[2], q[5];\nrz(0.0648) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(0.0648) q[5];\ncx q[1], q[5];\nrz(0) q[4];\nrz(0) q[3];\nrz(0) q[2];\nrz(0) q[1];\nrz(0) q[0];\nrz(0) q[6];\nrz(0) q[5];\nh q[0];\nrz(-0.1088) q[0];\nh q[0];\nh q[1];\nrz(-0.1088) q[1];\nh q[1];\nh q[2];\nrz(-0.1088) q[2];\nh q[2];\nh q[3];\nrz(-0.1088) q[3];\nh q[3];\nh q[4];\nrz(-0.1088) q[4];\nh q[4];\nh q[5];\nrz(-0.1088) q[5];\nh q[5];\nh q[6];\nrz(-0.1088) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\nrz(x1) q[4];\nrz(x1) q[3];\nrz(x1) q[2];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[6];\nrz(x1) q[5];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["92e0d9744e7b0376f2c61fec7a621b77","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}]}","{\"states\": [56, 25], \"expectation_value\": -3.4964640978287123, \"params\": null, \"bitstrings\": [\"000111\", \"100110\"], \"total_optimization_steps\": 23, \"probabilities\": [0.06634871027471173, 0.930365963812893], \"optimization_time\": 15.139743089675903}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2)",1,6,3,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"000111\", \"100110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[3];\nry(-1.5681) q[4];\nry(1.4449) q[2];\nry(1.4449) q[1];\ncry(-1.0343) q[5], q[0];\nry(0.7003) q[5];\nry(-0.4549) q[0];\ncry(0.4963) q[2], q[5];\ncry(-0.3789) q[2], q[0];\ncry(0.2489) q[1], q[5];\ncry(-0.1488) q[1], q[0];\ncry(0.118) q[2], q[1];\ncry(0.1156) q[1], q[2];\ncry(-0.0027) q[2], q[3];\ncry(-0.0027) q[2], q[4];\ncry(-0.0227) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0027) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0027) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0027) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0027) q[2], q[4];\\ncry(-0.0227) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0027) q[2], q[4];\\ncry(-0.0227) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0027) q[2], q[4];\\ncry(-0.0227) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0027) q[2], q[4];\\ncry(-0.0227) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0027) q[2], q[4];\\ncry(-0.0227) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[3];\\nry(-1.5681) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0343) q[5], q[0];\\nry(0.7003) q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[5];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[5];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0027) q[2], q[4];\\ncry(-0.0227) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.0067, 1.0047, 0.5002, 0.5, 0.2509, 0.2452, 0.1886, 0.2237, 0.1882, 0.1273, 0.0785, 0.0612, 0.0601, 0.0089, 0.0085, 0.0063, 0.006, 0.0049, 0.0047, 0.0045, 0.0031, 0.0031, 0.003]}"]
["2c6d895f788675d7b5a17eb0b56c7f21","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 8}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 2, \"source\": 7, \"target\": 4}]}","{\"states\": [215, 1], \"expectation_value\": -0.7858571544207991, \"params\": [[0.0732], [-0.0728]], \"bitstrings\": [\"100101000\", \"111111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002913616451685364, 0.0031345564477093745], \"optimization_time\": 2.6685404777526855}","-0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + 2.5 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.5 * Z(4) + -0.25 * Z(5) + 0.0 * Z(1) + 1.25 * Z(2) + -0.25 * Z(6) + 1.5 * Z(8) + -0.25 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-14.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.25, \"smallest_bitstrings\": [\"111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(-0.1098) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(-0.0366) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(-0.1098) q[4];\ncx q[0], q[4];\ncx q[3], q[5];\nrz(-0.0732) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(-0.1098) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(-0.0366) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(-0.1464) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.183) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.1098) q[2];\ncx q[1], q[2];\ncx q[3], q[6];\nrz(-0.0732) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0732) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(-0.0732) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.1098) q[6];\ncx q[2], q[6];\ncx q[0], q[8];\nrz(0.366) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(-0.0732) q[8];\ncx q[4], q[8];\ncx q[2], q[8];\nrz(-0.0732) q[8];\ncx q[2], q[8];\ncx q[4], q[7];\nrz(-0.183) q[7];\ncx q[4], q[7];\nrz(-0.3294) q[3];\nrz(-0.0366) q[0];\nrz(0.0732) q[4];\nrz(-0.0366) q[5];\nrz(0) q[1];\nrz(0.183) q[2];\nrz(-0.0366) q[6];\nrz(0.2196) q[8];\nrz(-0.0366) q[7];\nh q[0];\nrz(-0.1456) q[0];\nh q[0];\nh q[1];\nrz(-0.1456) q[1];\nh q[1];\nh q[2];\nrz(-0.1456) q[2];\nh q[2];\nh q[3];\nrz(-0.1456) q[3];\nh q[3];\nh q[4];\nrz(-0.1456) q[4];\nh q[4];\nh q[5];\nrz(-0.1456) q[5];\nh q[5];\nh q[6];\nrz(-0.1456) q[6];\nh q[6];\nh q[7];\nrz(-0.1456) q[7];\nh q[7];\nh q[8];\nrz(-0.1456) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x3) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x4) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[3], q[6];\nrz(x2) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[0], q[8];\nrz(x5) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x2) q[8];\ncx q[4], q[8];\ncx q[2], q[8];\nrz(x2) q[8];\ncx q[2], q[8];\ncx q[4], q[7];\nrz(x4) q[7];\ncx q[4], q[7];\nrz(x6) q[3];\nrz(x1) q[0];\nrz(x7) q[4];\nrz(x1) q[5];\nrz(x8) q[1];\nrz(x9) q[2];\nrz(x1) q[6];\nrz(x10) q[8];\nrz(x1) q[7];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["-873254663262147330","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[5, 6], [2, 3], [0, 6], [4, 6], [1, 4], [6, 7]]}","{\"states\": [157, 173], \"expectation_value\": -0.03475815383587186, \"params\": [[-0.0475], [0.061700000000000005]], \"bitstrings\": [\"01100010\", \"01010010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004182762799799988, 0.004182762799799988], \"optimization_time\": 1.16618013381958}","0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"10101101\", \"10011101\", \"01100010\", \"01010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[6], q[5];\nrz(-0.0475) q[5];\ncx q[6], q[5];\ncx q[3], q[2];\nrz(-0.0475) q[2];\ncx q[3], q[2];\ncx q[6], q[0];\nrz(-0.0475) q[0];\ncx q[6], q[0];\ncx q[6], q[4];\nrz(-0.0475) q[4];\ncx q[6], q[4];\ncx q[4], q[1];\nrz(-0.0475) q[1];\ncx q[4], q[1];\ncx q[6], q[7];\nrz(-0.0475) q[7];\ncx q[6], q[7];\nrz(0) q[6];\nrz(0) q[5];\nrz(0) q[3];\nrz(0) q[2];\nrz(0) q[0];\nrz(0) q[4];\nrz(0) q[1];\nrz(0) q[7];\nh q[0];\nrz(0.1234) q[0];\nh q[0];\nh q[1];\nrz(0.1234) q[1];\nh q[1];\nh q[2];\nrz(0.1234) q[2];\nh q[2];\nh q[3];\nrz(0.1234) q[3];\nh q[3];\nh q[4];\nrz(0.1234) q[4];\nh q[4];\nh q[5];\nrz(0.1234) q[5];\nh q[5];\nh q[6];\nrz(0.1234) q[6];\nh q[6];\nh q[7];\nrz(0.1234) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[6], q[0];\nrz(x0) q[0];\ncx q[6], q[0];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[6];\nrz(x1) q[5];\nrz(x1) q[3];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[4];\nrz(x1) q[1];\nrz(x1) q[7];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["646c4ffdec7c3b688313fcfec6df6ea9","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [6, 14], \"expectation_value\": -2.369174603465905, \"params\": [[[0.0005, 0.2832], [0.6032000000000001, -0.0041], [0.6052000000000001, 0.004], [0.6094, -0.0036000000000000003], [-0.008, -0.2836]], [[-0.0002, 0.28340000000000004], [0.608, -0.0041], [0.6079, 0.0041], [0.608, -0.0036000000000000003], [-0.0026000000000000003, -0.2838]], [[0.001, 0.005200000000000001], [0.6035, 0.0026000000000000003], [0.6077, 0.0046], [0.6058, 0.0002], [-0.0027, 0.0061]]], \"bitstrings\": [\"11001\", \"10001\"], \"total_optimization_steps\": 60, \"probabilities\": [0.1478110072933881, 0.2419041594947103], \"optimization_time\": 6.819931507110596}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4)",1,5,3,"{\"smallest_eigenvalues\": [-3.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"10001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nrx(0.0005) q[0];\nrz(0.2832) q[0];\nrx(0.6032) q[1];\nrz(-0.0041) q[1];\nrx(0.6052) q[2];\nrz(0.004) q[2];\nrx(0.6094) q[3];\nrz(-0.0036) q[3];\nrx(-0.008) q[4];\nrz(-0.2836) q[4];\nrx(-0.0002) q[0];\nrz(0.2834) q[0];\nrx(0.608) q[1];\nrz(-0.0041) q[1];\nrx(0.6079) q[2];\nrz(0.0041) q[2];\nrx(0.608) q[3];\nrz(-0.0036) q[3];\nrx(-0.0026) q[4];\nrz(-0.2838) q[4];\nrx(0.001) q[0];\nrz(0.0052) q[0];\nrx(0.6035) q[1];\nrz(0.0026) q[1];\nrx(0.6077) q[2];\nrz(0.0046) q[2];\nrx(0.6058) q[3];\nrz(0.0002) q[3];\nrx(-0.0027) q[4];\nrz(0.0061) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[0];\nrz(x11) q[0];\nrx(x12) q[1];\nrz(x3) q[1];\nrx(x13) q[2];\nrz(x14) q[2];\nrx(x12) q[3];\nrz(x7) q[3];\nrx(x15) q[4];\nrz(x16) q[4];\nrx(x17) q[0];\nrz(x18) q[0];\nrx(x19) q[1];\nrz(x20) q[1];\nrx(x21) q[2];\nrz(x22) q[2];\nrx(x23) q[3];\nrz(x24) q[3];\nrx(x25) q[4];\nrz(x26) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["151b9adea0333bc7a54f64ad6511a0ed","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [15, 63], \"expectation_value\": -0.9337248360676649, \"params\": [[0.0534], [-0.0471]], \"bitstrings\": [\"1111110000\", \"1111000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0013638684757273035, 0.0013908365496556534], \"optimization_time\": 2.515653371810913}","1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(1) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * Z(3) + -1.5 * Z(2) + 1.0 * Z(0) + 1.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-21.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -20.5, \"smallest_bitstrings\": [\"1111000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[2];\nrz(0.1068) q[2];\ncx q[3], q[2];\ncx q[3], q[0];\nrz(-0.2136) q[0];\ncx q[3], q[0];\ncx q[2], q[0];\nrz(0.0534) q[0];\ncx q[2], q[0];\ncx q[3], q[1];\nrz(-0.267) q[1];\ncx q[3], q[1];\ncx q[2], q[1];\nrz(-0.267) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.2136) q[1];\ncx q[0], q[1];\ncx q[5], q[4];\nrz(-0.1068) q[4];\ncx q[5], q[4];\ncx q[7], q[6];\nrz(-0.2136) q[6];\ncx q[7], q[6];\ncx q[7], q[8];\nrz(-0.2136) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(-0.2136) q[8];\ncx q[6], q[8];\ncx q[7], q[9];\nrz(-0.2136) q[9];\ncx q[7], q[9];\ncx q[6], q[9];\nrz(0.1068) q[9];\ncx q[6], q[9];\ncx q[8], q[9];\nrz(-0.2136) q[9];\ncx q[8], q[9];\nrz(-0.2136) q[3];\nrz(-0.1602) q[2];\nrz(0.1068) q[0];\nrz(0.1602) q[1];\nrz(0.0534) q[5];\nrz(0.0534) q[4];\nrz(0.0534) q[7];\nrz(0.0534) q[6];\nrz(0.0534) q[8];\nrz(0.0534) q[9];\nh q[0];\nrz(-0.0942) q[0];\nh q[0];\nh q[1];\nrz(-0.0942) q[1];\nh q[1];\nh q[2];\nrz(-0.0942) q[2];\nh q[2];\nh q[3];\nrz(-0.0942) q[3];\nh q[3];\nh q[4];\nrz(-0.0942) q[4];\nh q[4];\nh q[5];\nrz(-0.0942) q[5];\nh q[5];\nh q[6];\nrz(-0.0942) q[6];\nh q[6];\nh q[7];\nrz(-0.0942) q[7];\nh q[7];\nh q[8];\nrz(-0.0942) q[8];\nh q[8];\nh q[9];\nrz(-0.0942) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[2], q[0];\nrz(x2) q[0];\ncx q[2], q[0];\ncx q[3], q[1];\nrz(x3) q[1];\ncx q[3], q[1];\ncx q[2], q[1];\nrz(x3) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[5], q[4];\nrz(x4) q[4];\ncx q[5], q[4];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[7], q[8];\nrz(x1) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x1) q[8];\ncx q[6], q[8];\ncx q[7], q[9];\nrz(x1) q[9];\ncx q[7], q[9];\ncx q[6], q[9];\nrz(x0) q[9];\ncx q[6], q[9];\ncx q[8], q[9];\nrz(x1) q[9];\ncx q[8], q[9];\nrz(x1) q[3];\nrz(x5) q[2];\nrz(x0) q[0];\nrz(x6) q[1];\nrz(x2) q[5];\nrz(x2) q[4];\nrz(x2) q[7];\nrz(x2) q[6];\nrz(x2) q[8];\nrz(x2) q[9];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nh q[8];\nrz(x7) q[8];\nh q[8];\nh q[9];\nrz(x7) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 0}","{\"circuits\": [], \"gradients\": []}"]
["b72451fd8beb69606a84f4be9a392c11","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 7}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 6}, {\"capacity\": 4, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 4, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}]}","{\"states\": [0, 1], \"expectation_value\": -12.107808969559233, \"params\": [0.001, 0.44880000000000003, 0.0024000000000000002, 0.46190000000000003, 0.0027, 0.5212, 0.0026000000000000003, 0.5898, 0.0023, -0.5987, 0.0027, 0.5998, 0.0023, -0.5939, 0.8126, 0.0057, 0.0012000000000000001, 0.0064, 0.0024000000000000002, 0.0098, 0.0027, 0.0076, 0.0026000000000000003, 0.0034000000000000002, 0.0023, 0.0006000000000000001, 0.0027, 0.0043, 0.0023, 0.0077, 0.8122, 0.0012000000000000001, -0.45470000000000005, -0.5085000000000001, -0.5718, 0.6062000000000001, -0.5825, 0.6068, 0.0005, 0.0038, 0.0015, 0.0068000000000000005, 0.0066, 0.0086, 0.001, 0.005], \"bitstrings\": [\"11111111\", \"11111110\"], \"total_optimization_steps\": 80, \"probabilities\": [0.47297992782555676, 0.5269874052123216], \"optimization_time\": 17.00527310371399}","-1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + 0.75 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + -3.0 * Z(6) + 1.75 * Z(2) + 0.75 * Z(3) + 1.0 * Z(7) + -1.25 * Z(1)",3,8,2,"{\"smallest_eigenvalues\": [-14.0, -14.0, -14.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -13.0, \"smallest_bitstrings\": [\"11111110\", \"11000010\", \"10000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.001) q[0];\nrz(0.4488) q[0];\nrx(0.0024) q[1];\nrz(0.4619) q[1];\nrx(0.0027) q[2];\nrz(0.5212) q[2];\nrx(0.0026) q[3];\nrz(0.5898) q[3];\nrx(0.0023) q[4];\nrz(-0.5987) q[4];\nrx(0.0027) q[5];\nrz(0.5998) q[5];\nrx(0.0023) q[6];\nrz(-0.5939) q[6];\nrx(0.8126) q[7];\nrz(0.0057) q[7];\ncrz(0.0005) q[7], q[6];\ncrz(0.6068) q[6], q[5];\ncrz(-0.5825) q[5], q[4];\ncrz(0.6062) q[4], q[3];\ncrz(-0.5718) q[3], q[2];\ncrz(-0.5085) q[2], q[1];\ncrz(-0.4547) q[1], q[0];\nrx(0.0012) q[0];\nrz(0.0064) q[0];\nrx(0.0024) q[1];\nrz(0.0098) q[1];\nrx(0.0027) q[2];\nrz(0.0076) q[2];\nrx(0.0026) q[3];\nrz(0.0034) q[3];\nrx(0.0023) q[4];\nrz(0.0006) q[4];\nrx(0.0027) q[5];\nrz(0.0043) q[5];\nrx(0.0023) q[6];\nrz(0.0077) q[6];\nrx(0.8122) q[7];\nrz(0.0012) q[7];\ncrz(0.005) q[7], q[6];\ncrz(0.001) q[6], q[5];\ncrz(0.0086) q[5], q[4];\ncrz(0.0066) q[4], q[3];\ncrz(0.0068) q[3], q[2];\ncrz(0.0015) q[2], q[1];\ncrz(0.0038) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x4) q[5];\nrz(x10) q[5];\nrx(x8) q[6];\nrz(x11) q[6];\nrx(x12) q[7];\nrz(x13) q[7];\ncrz(x14) q[7], q[6];\ncrz(x15) q[6], q[5];\ncrz(x16) q[5], q[4];\ncrz(x17) q[4], q[3];\ncrz(x18) q[3], q[2];\ncrz(x19) q[2], q[1];\ncrz(x20) q[1], q[0];\nrx(x21) q[0];\nrz(x22) q[0];\nrx(x2) q[1];\nrz(x23) q[1];\nrx(x4) q[2];\nrz(x24) q[2];\nrx(x6) q[3];\nrz(x25) q[3];\nrx(x8) q[4];\nrz(x26) q[4];\nrx(x4) q[5];\nrz(x27) q[5];\nrx(x8) q[6];\nrz(x28) q[6];\nrx(x29) q[7];\nrz(x21) q[7];\ncrz(x30) q[7], q[6];\ncrz(x0) q[6], q[5];\ncrz(x31) q[5], q[4];\ncrz(x32) q[4], q[3];\ncrz(x33) q[3], q[2];\ncrz(x34) q[2], q[1];\ncrz(x35) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["351f46008c2fa6d2dfb6c8e40fb9b957","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [21, 28], \"expectation_value\": -4.496398053155684, \"params\": null, \"bitstrings\": [\"1101010\", \"1100011\"], \"total_optimization_steps\": 31, \"probabilities\": [0.06635227233402181, 0.930326732686416], \"optimization_time\": 30.292818546295166}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(5) + 0.0 * Z(3)",1,7,2,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"1101010\", \"0110101\", \"1010101\", \"1100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nry(-1.5681) q[5];\nry(-1.4449) q[0];\nry(1.4417) q[4];\nry(1.4417) q[2];\ncry(-1.0343) q[3], q[6];\nry(0.7003) q[3];\ncry(-0.1259) q[4], q[0];\nry(-0.4549) q[6];\ncry(0.4962) q[4], q[3];\ncry(-0.3788) q[4], q[6];\ncry(0.2489) q[2], q[3];\ncry(-0.1488) q[2], q[6];\ncry(0.121) q[4], q[2];\ncry(0.1183) q[2], q[4];\ncry(-0.0027) q[4], q[5];\ncry(-0.0227) q[6], q[3];\ncry(-0.0005) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":17915,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[5];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[5];\\nry(-1.4449) q[0];\\nry(1.4417) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[5];\\nry(-1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[5];\\nry(-1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[5];\\nry(-1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[3], q[6];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[5];\\nry(-1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[3], q[6];\\nry(0.7003) q[3];\\ncry(-0.1259) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[5];\\nry(-1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[3], q[6];\\nry(0.7003) q[3];\\ncry(-0.1259) q[4], q[0];\\nry(-0.4549) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[5];\\nry(-1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[3], q[6];\\nry(0.7003) q[3];\\ncry(-0.1259) q[4], q[0];\\nry(-0.4549) q[6];\\ncry(0.4962) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh"}}]
["7452354543443962818","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[9, 4], [8, 1], [6, 7], [9, 7], [1, 6], [8, 9], [3, 4], [4, 6], [4, 5], [5, 7], [0, 8], [8, 5], [8, 3], [9, 2], [0, 5], [2, 4], [1, 5], [3, 6], [2, 7], [2, 5], [0, 6], [2, 6]]}","{\"states\": [27, 996], \"expectation_value\": -0.2888300463683049, \"params\": [[-0.0864], [0.0791]], \"bitstrings\": [\"1111100100\", \"0000011011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0013194553758872976, 0.0013194553758872976], \"optimization_time\": 2.530900239944458}","0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(9) + 0.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2)",1,10,1,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"1110100110\", \"0001011001\", \"1111100100\", \"0000011011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[4], q[9];\nrz(-0.0864) q[9];\ncx q[4], q[9];\ncx q[9], q[8];\nrz(-0.0864) q[8];\ncx q[9], q[8];\ncx q[8], q[1];\nrz(-0.0864) q[1];\ncx q[8], q[1];\ncx q[4], q[6];\nrz(-0.0864) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(-0.0864) q[6];\ncx q[1], q[6];\ncx q[9], q[7];\nrz(-0.0864) q[7];\ncx q[9], q[7];\ncx q[6], q[7];\nrz(-0.0864) q[7];\ncx q[6], q[7];\ncx q[4], q[3];\nrz(-0.0864) q[3];\ncx q[4], q[3];\ncx q[8], q[3];\nrz(-0.0864) q[3];\ncx q[8], q[3];\ncx q[6], q[3];\nrz(-0.0864) q[3];\ncx q[6], q[3];\ncx q[4], q[5];\nrz(-0.0864) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(-0.0864) q[5];\ncx q[8], q[5];\ncx q[1], q[5];\nrz(-0.0864) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(-0.0864) q[5];\ncx q[7], q[5];\ncx q[8], q[0];\nrz(-0.0864) q[0];\ncx q[8], q[0];\ncx q[6], q[0];\nrz(-0.0864) q[0];\ncx q[6], q[0];\ncx q[5], q[0];\nrz(-0.0864) q[0];\ncx q[5], q[0];\ncx q[4], q[2];\nrz(-0.0864) q[2];\ncx q[4], q[2];\ncx q[9], q[2];\nrz(-0.0864) q[2];\ncx q[9], q[2];\ncx q[6], q[2];\nrz(-0.0864) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(-0.0864) q[2];\ncx q[7], q[2];\ncx q[5], q[2];\nrz(-0.0864) q[2];\ncx q[5], q[2];\nrz(0) q[4];\nrz(0) q[9];\nrz(0) q[8];\nrz(0) q[1];\nrz(0) q[6];\nrz(0) q[7];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[0];\nrz(0) q[2];\nh q[0];\nrz(0.1582) q[0];\nh q[0];\nh q[1];\nrz(0.1582) q[1];\nh q[1];\nh q[2];\nrz(0.1582) q[2];\nh q[2];\nh q[3];\nrz(0.1582) q[3];\nh q[3];\nh q[4];\nrz(0.1582) q[4];\nh q[4];\nh q[5];\nrz(0.1582) q[5];\nh q[5];\nh q[6];\nrz(0.1582) q[6];\nh q[6];\nh q[7];\nrz(0.1582) q[7];\nh q[7];\nh q[8];\nrz(0.1582) q[8];\nh q[8];\nh q[9];\nrz(0.1582) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[4], q[9];\nrz(x0) q[9];\ncx q[4], q[9];\ncx q[9], q[8];\nrz(x0) q[8];\ncx q[9], q[8];\ncx q[8], q[1];\nrz(x0) q[1];\ncx q[8], q[1];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[9], q[7];\nrz(x0) q[7];\ncx q[9], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[8], q[3];\nrz(x0) q[3];\ncx q[8], q[3];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(x0) q[5];\ncx q[8], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\ncx q[8], q[0];\nrz(x0) q[0];\ncx q[8], q[0];\ncx q[6], q[0];\nrz(x0) q[0];\ncx q[6], q[0];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[9], q[2];\nrz(x0) q[2];\ncx q[9], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x0) q[2];\ncx q[7], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\nrz(x1) q[4];\nrz(x1) q[9];\nrz(x1) q[8];\nrz(x1) q[1];\nrz(x1) q[6];\nrz(x1) q[7];\nrz(x1) q[3];\nrz(x1) q[5];\nrz(x1) q[0];\nrz(x1) q[2];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nh q[8];\nrz(x2) q[8];\nh q[8];\nh q[9];\nrz(x2) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["3157316800436101361","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[3, 4], [0, 7], [5, 6], [1, 3], [2, 4]]}","{\"states\": [202, 204], \"expectation_value\": -0.06410644669846341, \"params\": [[0.07970000000000001], [-0.0821]], \"bitstrings\": [\"00110101\", \"00110011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004429364216170355, 0.004429364216170355], \"optimization_time\": 1.2986741065979004}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2)",1,8,1,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"00110101\", \"10110100\", \"10110010\", \"01001101\", \"01001011\", \"11001010\", \"11001100\", \"00110011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[3];\nrz(0.0797) q[3];\ncx q[4], q[3];\ncx q[7], q[0];\nrz(0.0797) q[0];\ncx q[7], q[0];\ncx q[6], q[5];\nrz(0.0797) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\nrz(0.0797) q[1];\ncx q[3], q[1];\ncx q[4], q[2];\nrz(0.0797) q[2];\ncx q[4], q[2];\nrz(0) q[4];\nrz(0) q[3];\nrz(0) q[7];\nrz(0) q[0];\nrz(0) q[6];\nrz(0) q[5];\nrz(0) q[1];\nrz(0) q[2];\nh q[0];\nrz(-0.1642) q[0];\nh q[0];\nh q[1];\nrz(-0.1642) q[1];\nh q[1];\nh q[2];\nrz(-0.1642) q[2];\nh q[2];\nh q[3];\nrz(-0.1642) q[3];\nh q[3];\nh q[4];\nrz(-0.1642) q[4];\nh q[4];\nh q[5];\nrz(-0.1642) q[5];\nh q[5];\nh q[6];\nrz(-0.1642) q[6];\nh q[6];\nh q[7];\nrz(-0.1642) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[7], q[0];\nrz(x0) q[0];\ncx q[7], q[0];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\nrz(x1) q[4];\nrz(x1) q[3];\nrz(x1) q[7];\nrz(x1) q[0];\nrz(x1) q[6];\nrz(x1) q[5];\nrz(x1) q[1];\nrz(x1) q[2];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["4421c497e819297a0c75498974257550","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 20, \"source\": 1, \"target\": 4}, {\"weight\": 15, \"source\": 1, \"target\": 7}, {\"weight\": 9, \"source\": 2, \"target\": 3}, {\"weight\": 15, \"source\": 2, \"target\": 4}, {\"weight\": 13, \"source\": 3, \"target\": 5}, {\"weight\": 10, \"source\": 4, \"target\": 5}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [242, 236], \"expectation_value\": -16.87235196090613, \"params\": [[-0.046, 0.0022], [0.0743, 0.0533]], \"bitstrings\": [\"100001101\", \"100010011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0066058382570905695, 0.007317131522019328], \"optimization_time\": 3.555593967437744}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * Z(3) + 19.0 * Z(2) + 12.0 * Z(5) + 4.5 * Z(4) + 6.5 * Z(6) + 9.5 * Z(7) + 3.5 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-71.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -63.5, \"smallest_bitstrings\": [\"100010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.414) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(-0.414) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.414) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(-0.414) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.414) q[2];\ncx q[3], q[2];\ncx q[2], q[5];\nrz(-0.414) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.414) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(-0.414) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(-0.414) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.414) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.414) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(-0.414) q[8];\ncx q[1], q[8];\ncx q[3], q[8];\nrz(-0.414) q[8];\ncx q[3], q[8];\nrz(-0.92) q[1];\nrz(-0.598) q[0];\nrz(-1.518) q[3];\nrz(-1.748) q[2];\nrz(-1.104) q[5];\nrz(-0.414) q[4];\nrz(-0.598) q[6];\nrz(-0.874) q[7];\nrz(-0.322) q[8];\nh q[0];\nrz(0.1486) q[0];\nh q[0];\nh q[1];\nrz(0.1486) q[1];\nh q[1];\nh q[2];\nrz(0.1486) q[2];\nh q[2];\nh q[3];\nrz(0.1486) q[3];\nh q[3];\nh q[4];\nrz(0.1486) q[4];\nh q[4];\nh q[5];\nrz(0.1486) q[5];\nh q[5];\nh q[6];\nrz(0.1486) q[6];\nh q[6];\nh q[7];\nrz(0.1486) q[7];\nh q[7];\nh q[8];\nrz(0.1486) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0198) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.0198) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0198) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(0.0198) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.0198) q[2];\ncx q[3], q[2];\ncx q[2], q[5];\nrz(0.0198) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(0.0198) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(0.0198) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(0.0198) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.0198) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0198) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(0.0198) q[8];\ncx q[1], q[8];\ncx q[3], q[8];\nrz(0.0198) q[8];\ncx q[3], q[8];\nrz(0.044) q[1];\nrz(0.0286) q[0];\nrz(0.0726) q[3];\nrz(0.0836) q[2];\nrz(0.0528) q[5];\nrz(0.0198) q[4];\nrz(0.0286) q[6];\nrz(0.0418) q[7];\nrz(0.0154) q[8];\nh q[0];\nrz(0.1066) q[0];\nh q[0];\nh q[1];\nrz(0.1066) q[1];\nh q[1];\nh q[2];\nrz(0.1066) q[2];\nh q[2];\nh q[3];\nrz(0.1066) q[3];\nh q[3];\nh q[4];\nrz(0.1066) q[4];\nh q[4];\nh q[5];\nrz(0.1066) q[5];\nh q[5];\nh q[6];\nrz(0.1066) q[6];\nh q[6];\nh q[7];\nrz(0.1066) q[7];\nh q[7];\nh q[8];\nrz(0.1066) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x4) q[2];\nrz(x5) q[5];\nrz(x0) q[4];\nrz(x2) q[6];\nrz(x6) q[7];\nrz(x7) q[8];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x9) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x9) q[2];\ncx q[3], q[2];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x9) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x9) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x9) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x9) q[8];\ncx q[1], q[8];\ncx q[3], q[8];\nrz(x9) q[8];\ncx q[3], q[8];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[3];\nrz(x13) q[2];\nrz(x14) q[5];\nrz(x9) q[4];\nrz(x11) q[6];\nrz(x15) q[7];\nrz(x16) q[8];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nh q[8];\nrz(x17) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["495033866122047723","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 2, 5, 6], [0, 2, 3, 4, 6], [0, 2, 4, 5], [3, 4, 7], [1, 2, 4], [1, 4, 5, 6, 7], [3, 4, 5], [0, 1, 2, 5], [1, 2, 5, 7], [0, 1, 3, 4, 6]]}","{\"states\": [205, 207], \"expectation_value\": -2.365313719707705, \"params\": null, \"bitstrings\": [\"00110010\", \"00110000\"], \"total_optimization_steps\": 45, \"probabilities\": [0.08241348960387324, 0.8564877951974893], \"optimization_time\": 80.20220613479614}","0.41666666666666663 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.3 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.1 * (Z(0) @ Z(6)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.1 * (Z(3) @ Z(6)) + 0.1 * (Z(3) @ Z(0)) + 0.3 * (Z(4) @ Z(2)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.3 * (Z(4) @ Z(5)) + 0.15000000000000002 * (Z(4) @ Z(6)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.4333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.7666666666666668 * Z(2) + 0.7416666666666666 * Z(1) + 0.7666666666666666 * Z(5) + 0.42499999999999993 * Z(6) + 0.44999999999999996 * Z(0) + 0.5333333333333333 * Z(3) + 0.9250000000000002 * Z(4) + 0.39166666666666666 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-2.3999999999999995], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.35, \"smallest_bitstrings\": [\"00110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5655) q[4];\nry(1.4234) q[1];\nry(0.7727) q[5];\ncry(-0.9962) q[5], q[2];\ncry(0.5004) q[4], q[5];\ncry(-0.4714) q[1], q[2];\nry(0.8098) q[0];\ncry(-0.6863) q[7], q[3];\ncry(0.4991) q[4], q[0];\ncry(-0.4669) q[5], q[3];\nry(0.5071) q[7];\ncry(-0.3839) q[0], q[3];\ncry(0.473) q[4], q[7];\ncry(-0.1733) q[4], q[2];\ncry(-0.2127) q[4], q[3];\ncry(0.2937) q[0], q[7];\ncry(0.1767) q[1], q[5];\ncry(0.1935) q[1], q[0];\ncry(0.1238) q[4], q[1];\ncry(-0.1012) q[1], q[3];\ncry(0.1526) q[1], q[7];\ncry(0.1985) q[7], q[6];\nry(0.1863) q[6];\ncry(0.1733) q[4], q[6];\ncry(-0.0537) q[0], q[2];\ncry(0.1571) q[1], q[6];\ncry(0.1374) q[0], q[6];\ncry(0.1169) q[5], q[6];\nry(-0.0507) q[3];\ncry(0.0633) q[5], q[7];\ncry(0.0405) q[5], q[0];\ncry(0.0344) q[0], q[5];\nry(-0.0082) q[2];\ncry(-0.0151) q[6], q[3];\ncry(0.0302) q[6], q[7];\ncry(0.0148) q[7], q[0];\ncry(0.0135) q[5], q[1];\ncry(0.0112) q[7], q[5];\ncry(-0.0024) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,null,{"$cut":{"chars":38117,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nry(1.4234) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nry(1.4234) q[1];\\nry(0.7727) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nry(1.4234) q[1];\\nry(0.7727) q[5];\\ncry(-0.9962) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nry(1.4234) q[1];\\nry(0.7727) q[5];\\ncry(-0.9962) q[5], q[2];\\ncry(0.5004) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nry(1.4234) q[1];\\nry(0.7727) q[5];\\ncry(-0.9962) q[5], q[2];\\ncry(0.5004) q[4], q[5];\\ncry(-0.4714) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nry(1.4234) q[1];\\nry(0.7727) q[5];\\ncry(-0.9962) q[5], q[2];\\ncry(0.5004) q[4], q[5];\\ncry(-0.4714) q[1], q[2];\\nry(0.8098) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nry(1.4234) q[1];\\nry(0.7727) q[5];\\ncry(-0.9962) q[5], q[2];\\ncry(0.5004) q[4], q[5];\\ncry(-0.4714) q[1], q[2];\\nry(0.8098) q[0];\\ncry(-0.6863) q[7], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nry(1.4234) q[1];\\nry(0.7727) q[5];\\ncry(-0.9962) q[5], q[2];\\ncry(0.5004) q[4], q[5];\\ncry(-0.4714) q[1], q[2];\\nry(0.8098) q[0];\\ncry(-0.6863) q[7], q[3];\\ncry(0.4991) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5655) q[4];\\nry(1.4234) q[1];\\nry(0.7727) q[5];\\ncry(-0.9962) q[5], q[2];\\ncry(0.5004) q[4], q[5];\\ncry(-0.4714) q[1], q[2];\\nry"}}]
["1016217827708621692","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[0, 5, 6], [2, 4, 6], [1, 3, 4, 5, 7], [0, 1, 3, 8, 9], [1, 4, 6], [9, 2, 3, 6], [9, 4, 5, 7], [8, 5, 6], [2, 3, 7], [8, 9, 1, 7], [8, 0, 2, 4], [1, 3, 5, 7, 8], [1, 2, 3, 4, 8, 9]]}","{\"states\": [622, 623], \"expectation_value\": -3.239653738072245, \"params\": [[[2.4935, 0.8414, 0.007, 0.002], [-0.003, 0.8410000000000001, -0.0012000000000000001, 0.0024000000000000002], [-0.017400000000000002, 1.2385000000000002, 0.026500000000000003, 0.0001], [-0.0026000000000000003, 0.3408, -0.0021000000000000003, 0.0019], [1.5679, -0.0031000000000000003, 1.5678, 0.0024000000000000002], [1.6729, 0.0022, 1.4626000000000001, 0.0078000000000000005], [1.7745000000000002, -0.0025, 1.3709, 0.0009000000000000001], [0.0025, 0.9739000000000001, 0.0026000000000000003, 0.008400000000000001], [1.5738, -0.003, 1.5738, 0.0089], [1.5746, 0.0078000000000000005, 0.0048000000000000004, 0.007]]], \"bitstrings\": [\"0110010001\", \"0110010000\"], \"total_optimization_steps\": 250, \"probabilities\": [0.447488839866041, 0.45092438493089537], \"optimization_time\": 33.309553146362305}","0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.2833333333333333 * (Z(4) @ Z(2)) + 0.1 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(4)) + 0.1 * (Z(3) @ Z(5)) + 0.05 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.2833333333333333 * (Z(3) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(4)) + 0.18333333333333335 * (Z(3) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.26666666666666666 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.11666666666666667 * (Z(8) @ Z(2)) + 0.11666666666666667 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(3)) + 0.13333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.05 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(6)) + 0.11666666666666667 * (Z(9) @ Z(2)) + 0.11666666666666667 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.6583333333333333 * Z(5) + 0.39166666666666666 * Z(0) + 0.7916666666666666 * Z(6) + 0.6666666666666669 * Z(2) + 0.7666666666666667 * Z(4) + 0.675 * Z(1) + 0.675 * Z(3) + 0.6166666666666668 * Z(7) + 0.7000000000000002 * Z(8) + 0.5583333333333333 * Z(9)",11,10,1,"{\"smallest_eigenvalues\": [-3.466666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.1166666666666663, \"smallest_bitstrings\": [\"0110010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(2.4935) q[0];\nrz(0.8414) q[0];\nry(-0.003) q[1];\nrz(0.841) q[1];\nry(-0.0174) q[2];\nrz(1.2385) q[2];\nry(-0.0026) q[3];\nrz(0.3408) q[3];\nry(1.5679) q[4];\nrz(-0.0031) q[4];\nry(1.6729) q[5];\nrz(0.0022) q[5];\nry(1.7745) q[6];\nrz(-0.0025) q[6];\nry(0.0025) q[7];\nrz(0.9739) q[7];\nry(1.5738) q[8];\nrz(-0.003) q[8];\nry(1.5746) q[9];\nrz(0.0078) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(-0.0012) q[1];\nrz(0.0024) q[1];\nry(0.0265) q[2];\nrz(0.0001) q[2];\ncx q[2], q[1];\nry(-0.0021) q[3];\nrz(0.0019) q[3];\nry(1.5678) q[4];\nrz(0.0024) q[4];\ncx q[4], q[3];\nry(1.4626) q[5];\nrz(0.0078) q[5];\nry(1.3709) q[6];\nrz(0.0009) q[6];\ncx q[6], q[5];\nry(0.0026) q[7];\nrz(0.0084) q[7];\nry(1.5738) q[8];\nrz(0.0089) q[8];\ncx q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x2) q[8];\nry(x17) q[9];\nrz(x18) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(x19) q[1];\nrz(x20) q[1];\nry(x21) q[2];\nrz(x22) q[2];\ncx q[2], q[1];\nry(x23) q[3];\nrz(x24) q[3];\nry(x25) q[4];\nrz(x20) q[4];\ncx q[4], q[3];\nry(x26) q[5];\nrz(x18) q[5];\nry(x27) q[6];\nrz(x28) q[6];\ncx q[6], q[5];\nry(x29) q[7];\nrz(x30) q[7];\nry(x16) q[8];\nrz(x31) q[8];\ncx q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["5ff13daf48c5dfc8657b57cf7715e1fc","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 9}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 9}, {\"source\": 11, \"target\": 12}]}","{\"states\": [3647, 4095], \"expectation_value\": -1.0388197975387183, \"params\": [[-0.0698], [0.0767]], \"bitstrings\": [\"000111000000\", \"000000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.000427705901021274, 0.0004336109813158647], \"optimization_time\": 2.2008204460144043}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * Z(4) + -1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(9) + 0.5 * Z(7) + 0.5 * Z(11) + 0.5 * Z(10)",1,12,1,"{\"smallest_eigenvalues\": [-17.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"000000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[1], q[0];\nrz(0.2094) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2094) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2094) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(0.2792) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(0.2094) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.0698) q[5];\ncx q[3], q[5];\ncx q[8], q[6];\nrz(0.2792) q[6];\ncx q[8], q[6];\ncx q[8], q[9];\nrz(-0.0698) q[9];\ncx q[8], q[9];\ncx q[6], q[9];\nrz(0.2094) q[9];\ncx q[6], q[9];\ncx q[8], q[7];\nrz(0.2094) q[7];\ncx q[8], q[7];\ncx q[6], q[7];\nrz(-0.0698) q[7];\ncx q[6], q[7];\ncx q[11], q[10];\nrz(0.1396) q[10];\ncx q[11], q[10];\nrz(-0.0698) q[1];\nrz(-0.0698) q[0];\nrz(-0.0698) q[2];\nrz(-0.1396) q[4];\nrz(0.1396) q[3];\nrz(-0.0698) q[5];\nrz(-0.0698) q[8];\nrz(-0.0698) q[6];\nrz(-0.0698) q[9];\nrz(-0.0698) q[7];\nrz(-0.0698) q[11];\nrz(-0.0698) q[10];\nh q[0];\nrz(0.1534) q[0];\nh q[0];\nh q[1];\nrz(0.1534) q[1];\nh q[1];\nh q[2];\nrz(0.1534) q[2];\nh q[2];\nh q[3];\nrz(0.1534) q[3];\nh q[3];\nh q[4];\nrz(0.1534) q[4];\nh q[4];\nh q[5];\nrz(0.1534) q[5];\nh q[5];\nh q[6];\nrz(0.1534) q[6];\nh q[6];\nh q[7];\nrz(0.1534) q[7];\nh q[7];\nh q[8];\nrz(0.1534) q[8];\nh q[8];\nh q[9];\nrz(0.1534) q[9];\nh q[9];\nh q[10];\nrz(0.1534) q[10];\nh q[10];\nh q[11];\nrz(0.1534) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[8], q[6];\nrz(x1) q[6];\ncx q[8], q[6];\ncx q[8], q[9];\nrz(x2) q[9];\ncx q[8], q[9];\ncx q[6], q[9];\nrz(x0) q[9];\ncx q[6], q[9];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[6], q[7];\nrz(x2) q[7];\ncx q[6], q[7];\ncx q[11], q[10];\nrz(x3) q[10];\ncx q[11], q[10];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x4) q[4];\nrz(x3) q[3];\nrz(x2) q[5];\nrz(x2) q[8];\nrz(x2) q[6];\nrz(x2) q[9];\nrz(x2) q[7];\nrz(x2) q[11];\nrz(x2) q[10];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nh q[11];\nrz(x5) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["ca73abee2b018455955f199f9f478c21","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 8}, {\"source\": 7, \"target\": 8}]}","{\"states\": [255, 239], \"expectation_value\": -0.7715941638591953, \"params\": [[0.07590000000000001], [-0.0665]], \"bitstrings\": [\"00000000\", \"00010000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005597430363897118, 0.005711170432214579], \"optimization_time\": 1.427417516708374}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(7) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) + -0.5 * Z(3)",5,8,1,"{\"smallest_eigenvalues\": [-13.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.0, \"smallest_bitstrings\": [\"00010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2277) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2277) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2277) q[2];\ncx q[0], q[2];\ncx q[7], q[4];\nrz(-0.3036) q[4];\ncx q[7], q[4];\ncx q[7], q[5];\nrz(-0.3036) q[5];\ncx q[7], q[5];\ncx q[4], q[5];\nrz(0.0759) q[5];\ncx q[4], q[5];\ncx q[7], q[6];\nrz(-0.3036) q[6];\ncx q[7], q[6];\ncx q[4], q[6];\nrz(0.0759) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0759) q[6];\ncx q[5], q[6];\nrz(0.0759) q[1];\nrz(0.0759) q[0];\nrz(0.0759) q[2];\nrz(0.0759) q[7];\nrz(0.0759) q[4];\nrz(0.0759) q[5];\nrz(0.0759) q[6];\nrz(-0.0759) q[3];\nh q[0];\nrz(-0.133) q[0];\nh q[0];\nh q[1];\nrz(-0.133) q[1];\nh q[1];\nh q[2];\nrz(-0.133) q[2];\nh q[2];\nh q[3];\nrz(-0.133) q[3];\nh q[3];\nh q[4];\nrz(-0.133) q[4];\nh q[4];\nh q[5];\nrz(-0.133) q[5];\nh q[5];\nh q[6];\nrz(-0.133) q[6];\nh q[6];\nh q[7];\nrz(-0.133) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[7], q[4];\nrz(x1) q[4];\ncx q[7], q[4];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[7];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x3) q[3];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["-5806664385067794631","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 1, 5], [1, 3], [1, 2], [4, 6]]}","{\"states\": [35, 38], \"expectation_value\": -0.03040207680237366, \"params\": [[-0.060000000000000005], [0.0736]], \"bitstrings\": [\"1011100\", \"1011001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008296046264194806, 0.008296046264194806], \"optimization_time\": 0.4743835926055908}","0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -1.5000000000000002, \"smallest_bitstrings\": [\"1011100\", \"0100100\", \"0011110\", \"0011011\", \"1011001\", \"0100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.02) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(-0.02) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.02) q[5];\ncx q[0], q[5];\ncx q[1], q[3];\nrz(-0.06) q[3];\ncx q[1], q[3];\ncx q[1], q[2];\nrz(-0.06) q[2];\ncx q[1], q[2];\ncx q[6], q[4];\nrz(-0.06) q[4];\ncx q[6], q[4];\nrz(-0.02) q[1];\nrz(-0.02) q[0];\nrz(-0.02) q[5];\nrz(0) q[3];\nrz(0) q[2];\nrz(0) q[6];\nrz(0) q[4];\nh q[0];\nrz(0.1472) q[0];\nh q[0];\nh q[1];\nrz(0.1472) q[1];\nh q[1];\nh q[2];\nrz(0.1472) q[2];\nh q[2];\nh q[3];\nrz(0.1472) q[3];\nh q[3];\nh q[4];\nrz(0.1472) q[4];\nh q[4];\nh q[5];\nrz(0.1472) q[5];\nh q[5];\nh q[6];\nrz(0.1472) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\nrz(x0) q[1];\nrz(x0) q[0];\nrz(x0) q[5];\nrz(x2) q[3];\nrz(x2) q[2];\nrz(x2) q[6];\nrz(x2) q[4];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["b2c25a19a038d07471a5450910ba4971","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [3, 6], \"expectation_value\": -2.2052451376271427, \"params\": null, \"bitstrings\": [\"11100\", \"11001\"], \"total_optimization_steps\": 16, \"probabilities\": [0.057338861254463774, 0.9026324643853599], \"optimization_time\": 8.638596296310425}","0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4)",1,5,2,"{\"smallest_eigenvalues\": [-2.25, -2.25, -2.25, -2.25], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -1.25, \"smallest_bitstrings\": [\"11100\", \"11010\", \"11001\", \"10101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(-1.4449) q[1];\nry(1.0342) q[3];\ncry(-0.9353) q[2], q[4];\nry(0.712) q[2];\ncry(-0.5281) q[3], q[4];\ncry(0.5097) q[3], q[2];\ncry(0.3892) q[2], q[3];\nry(-0.3871) q[4];\ncry(-0.1175) q[3], q[1];\ncry(0.0866) q[4], q[3];\ncry(-0.0511) q[4], q[2];\ncry(-0.0027) q[3], q[0];\ncry(-0.0088) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\ncry(0.3892) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\ncry(0.3892) q[2], q[3];\\nry(-0.3871) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\ncry(0.3892) q[2], q[3];\\nry(-0.3871) q[4];\\ncry(-0.1175) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\ncry(0.3892) q[2], q[3];\\nry(-0.3871) q[4];\\ncry(-0.1175) q[3], q[1];\\ncry(0.0866) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\ncry(0.3892) q[2], q[3];\\nry(-0.3871) q[4];\\ncry(-0.1175) q[3], q[1];\\ncry(0.0866) q[4], q[3];\\ncry(-0.0511) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\ncry(0.3892) q[2], q[3];\\nry(-0.3871) q[4];\\ncry(-0.1175) q[3], q[1];\\ncry(0.0866) q[4], q[3];\\ncry(-0.0511) q[4], q[2];\\ncry(-0.0027) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\ncry(0.3892) q[2], q[3];\\nry(-0.3871) q[4];\\ncry(-0.1175) q[3], q[1];\\ncry(0.0866) q[4], q[3];\\ncry(-0.0511) q[4], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0088) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\ncry(0.3892) q[2], q[3];\\nry(-0.3871) q[4];\\ncry(-0.1175) q[3], q[1];\\ncry(0.0866) q[4], q[3];\\ncry(-0.0511) q[4], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0088) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.4449) q[1];\\nry(1.0342) q[3];\\ncry(-0.9353) q[2], q[4];\\nry(0.712) q[2];\\ncry(-0.5281) q[3], q[4];\\ncry(0.5097) q[3], q[2];\\ncry(0.3892) q[2], q[3];\\nry(-0.3871) q[4];\\ncry(-0.1175) q[3], q[1];\\ncry(0.0866) q[4], q[3];\\ncry(-0.0511) q[4], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0088) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.0021, 0.5026, 0.249, 0.2177, 0.236, 0.2039, 0.2176, 0.1678, 0.1912, 0.0605, 0.0182, 0.0108, 0.0069, 0.0048, 0.0044, 0.0029]}"]
["a603da1a0fa48a0c889ceccbdae517d6","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}]}","{\"states\": [51, 50], \"expectation_value\": -2.6948134063410163, \"params\": [-0.0022, 1.3037, 2.1024000000000003, -0.002, 2.1009, 0.0028, 0.064, 0.0034000000000000002, 2.0934, 0.0031000000000000003, 2.0982000000000003, 0.0032, 1.4208, 0.0034000000000000002, -0.0022, 1.0747, -2.0816, 2.0719000000000003, -2.0878, 1.0719], \"bitstrings\": [\"1001100\", \"1001101\"], \"total_optimization_steps\": 210, \"probabilities\": [0.3196360872841566, 0.32477884778605687], \"optimization_time\": 24.985620737075806}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.25 * Z(4) + -0.5 * Z(5) + -0.25 * Z(6)",4,7,1,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"1010011\", \"1001011\", \"1010110\", \"1110010\", \"1011100\", \"1001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(-0.0022) q[0];\nrz(1.3037) q[0];\nrx(2.1024) q[1];\nrz(-0.002) q[1];\nrx(2.1009) q[2];\nrz(0.0028) q[2];\nrx(0.064) q[3];\nrz(0.0034) q[3];\nrx(2.0934) q[4];\nrz(0.0031) q[4];\nrx(2.0982) q[5];\nrz(0.0032) q[5];\nrx(1.4208) q[6];\nrz(0.0034) q[6];\ncrx(1.0719) q[6], q[5];\ncrx(-2.0878) q[5], q[4];\ncrx(2.0719) q[4], q[3];\ncrx(-2.0816) q[3], q[2];\ncrx(1.0747) q[2], q[1];\ncrx(-0.0022) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x7) q[6];\ncrx(x13) q[6], q[5];\ncrx(x14) q[5], q[4];\ncrx(x15) q[4], q[3];\ncrx(x16) q[3], q[2];\ncrx(x17) q[2], q[1];\ncrx(x0) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["93141c357d164fcf2a36ba666f8f01e3","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}]}","{\"states\": [25, 22], \"expectation_value\": -0.06285010069148031, \"params\": [[0.0792], [-0.0863]], \"bitstrings\": [\"00110\", \"01001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0350321879334413, 0.03503218793344133], \"optimization_time\": 2.789794445037842}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4)",1,5,1,"{\"smallest_eigenvalues\": [-2.0, -2.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"00110\", \"01001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(0.0396) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0396) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0396) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0396) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(0.0396) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(0.0396) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(0.0396) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(-0.0396) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(0.0792) q[1];\ncx q[3], q[1];\ncx q[4], q[2];\nrz(0.0792) q[2];\ncx q[4], q[2];\nrz(0) q[0];\nrz(-0.0396) q[1];\nrz(-0.0396) q[2];\nrz(-0.0396) q[3];\nrz(-0.0396) q[4];\nh q[0];\nrz(-0.1726) q[0];\nh q[0];\nh q[1];\nrz(-0.1726) q[1];\nh q[1];\nh q[2];\nrz(-0.1726) q[2];\nh q[2];\nh q[3];\nrz(-0.1726) q[3];\nh q[3];\nh q[4];\nrz(-0.1726) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x2) q[1];\ncx q[3], q[1];\ncx q[4], q[2];\nrz(x2) q[2];\ncx q[4], q[2];\nrz(x3) q[0];\nrz(x1) q[1];\nrz(x1) q[2];\nrz(x1) q[3];\nrz(x1) q[4];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["9c1ee192c2f57fe7cc46ca444fd40044","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [32, 1], \"expectation_value\": -7.942303765670233, \"params\": null, \"bitstrings\": [\"011111\", \"111110\"], \"total_optimization_steps\": 18, \"probabilities\": [0.15643410268844596, 0.8141130102870059], \"optimization_time\": 14.117692708969116}","-1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) + 0.75 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-8.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\ncry(-1.5708) q[5], q[0];\nry(1.0958) q[5];\nry(-0.5471) q[0];\nry(-1.5699) q[4];\nry(-1.5486) q[3];\nry(-1.5708) q[2];\ncry(-0.0778) q[0], q[5];\ncry(-0.0222) q[5], q[3];\ncry(-0.0158) q[0], q[3];\ncry(-0.0009) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\ncry(-0.0158) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\ncry(-0.0158) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\ncry(-0.0158) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\ncry(-0.0158) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\ncry(-0.0158) q[0], q[3];\\ncry(-0.0009) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[5], q[0];\\nry(1.0958) q[5];\\nry(-0.5471) q[0];\\nry(-1.5699) q[4];\\nry(-1.5486) q[3];\\nry(-1.5708) q[2];\\ncry(-0.0778) q[0], q[5];\\ncry(-0.0222) q[5], q[3];\\ncry(-0.0158) q[0], q[3];\\ncry(-0.0009) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.487, 1.6283, 1.9396, 1.4326, 1.1038, 0.7482, 1.3705, 0.0347, 0.0284, 0.0094, 0.0092, 0.0056, 0.0055, 0.0046, 0.0041, 0.0041, 0.0039, 0.003]}"]
["291fb5db31402c7ef22d6cc5b00311e3","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}]}","{\"states\": [186, 191], \"expectation_value\": -10.596510543798873, \"params\": null, \"bitstrings\": [\"101000101\", \"101000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.1102177567226562, 0.4447303201965931], \"optimization_time\": 212.72081804275513}","-2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -1.0 * Z(2) + -1.5 * Z(0) + 1.0 * Z(3) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-14.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.5, \"smallest_bitstrings\": [\"101000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[0], q[3];\ncry(1.5708) q[3], q[4];\ncry(1.5708) q[4], q[1];\ncry(1.5706) q[8], q[6];\nry(1.056) q[8];\ncry(1.5708) q[6], q[7];\ncry(0.4026) q[7], q[6];\nry(-1.5706) q[2];\ncry(1.5705) q[6], q[5];\ncry(-1.9093) q[3], q[0];\ncry(0.3046) q[6], q[8];\ncry(0.5089) q[1], q[3];\ncry(0.0738) q[1], q[4];\nry(-0.0075) q[4];\ncry(0.0664) q[5], q[4];\nry(-0.1784) q[5];\nry(-0.125) q[7];\ncry(0.1388) q[8], q[5];\ncry(0.1238) q[8], q[7];\ncry(-0.1258) q[1], q[5];\ncry(-0.1122) q[1], q[7];\ncry(0.2725) q[4], q[3];\ncry(-0.0711) q[1], q[8];\ncry(1.1673) q[1], q[6];\nry(0.1786) q[6];\ncry(-0.2525) q[4], q[6];\ncry(-0.0003) q[3], q[6];\ncry(0.0426) q[5], q[6];\ncry(1.118) q[4], q[8];\ncry(0.6782) q[3], q[7];\ncry(0.1745) q[7], q[5];\ncry(-0.166) q[4], q[5];\ncry(-0.12) q[3], q[8];\ncry(0.0919) q[7], q[8];\nry(-0.0342) q[1];\ncry(-0.0759) q[5], q[8];\ncry(0.0357) q[3], q[1];\ncry(-0.036) q[5], q[1];\ncry(-0.0002) q[1], q[2];\ncry(0.0389) q[3], q[5];\nry(-0.0008) q[0];\ncry(-0.019) q[4], q[7];\ncry(0.0046) q[7], q[4];\ncry(-0.0071) q[8], q[1];\ncry(0.0158) q[5], q[3];\ncry(0.014) q[5], q[7];\ncry(-0.0002) q[1], q[0];\nry(-0.0057) q[3];\ncry(0.0001) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"node\": 1}",{"$cut":{"chars":118869,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[0], q[3];\\ncry(1.5708) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[0], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[0], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[1];\\ncry(1.5706) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[0], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[1];\\ncry(1.5706) q[8], q[6];\\nry(1.056) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[0], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[1];\\ncry(1.5706) q[8], q[6];\\nry(1.056) q[8];\\ncry(1.5708) q[6], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[0], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[1];\\ncry(1.5706) q[8], q[6];\\nry(1.056) q[8];\\ncry(1.5708) q[6], q[7];\\ncry(0.4026) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[0], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[1];\\ncry(1.5706) q[8], q[6];\\nry(1.056) q[8];\\ncry(1.5708) q[6], q[7];\\ncry(0.4026) q[7], q[6];\\nry(-1.5706) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[0], q[3];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[1];\\ncry(1.5706) q[8], q[6];\\nry(1.056) q[8];\\ncry(1.5708) q[6], q[7];\\ncry(0.4026) q[7], q[6];\\nry(-1.5706) q[2];\\ncry(1.5705) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3"}}]
["dab40a2f654e93a72357d226e03c7017","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [36, 9], \"expectation_value\": -0.3817731451591546, \"params\": [[-0.0886], [0.0816]], \"bitstrings\": [\"011011\", \"110110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01845304975744646, 0.018453049757446466], \"optimization_time\": 1.7139613628387451}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"001111\", \"101110\", \"101101\", \"011011\", \"110110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(-0.0886) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(-0.0886) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(-0.0886) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.0886) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0886) q[5];\ncx q[4], q[5];\ncx q[2], q[1];\nrz(-0.0886) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(-0.0886) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.0886) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0886) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0886) q[3];\ncx q[1], q[3];\nrz(0.2658) q[2];\nrz(0.1772) q[0];\nrz(0.2658) q[4];\nrz(0.1772) q[5];\nrz(0.0886) q[1];\nrz(0.2658) q[3];\nh q[0];\nrz(0.1632) q[0];\nh q[0];\nh q[1];\nrz(0.1632) q[1];\nh q[1];\nh q[2];\nrz(0.1632) q[2];\nh q[2];\nh q[3];\nrz(0.1632) q[3];\nh q[3];\nh q[4];\nrz(0.1632) q[4];\nh q[4];\nh q[5];\nrz(0.1632) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x1) q[4];\nrz(x2) q[5];\nrz(x3) q[1];\nrz(x1) q[3];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["-8090004467420380849","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[3, 5], [0, 1, 2, 5, 6, 8, 9], [0, 2, 3, 8, 9], [0, 1, 4, 9], [9, 10, 4], [8, 10, 4], [1, 2, 3, 6, 8, 9, 10], [0, 9, 10], [10, 7], [2, 4, 5, 6, 8], [0, 1, 4, 5, 8], [1, 4, 5, 6, 10], [0, 1, 3, 6, 8], [1, 2, 4], [4, 5, 7]]}","{\"states\": [1758, 734], \"expectation_value\": -3.381689952184078, \"params\": [1.4968000000000001, 0.0035, 1.0912, 0.0085, 1.4818, 0.001, 1.4652, 0.0074, 1.4839, 0.0033, 1.075, 0.0068000000000000005, 1.4935, 0.0016, 0.4767, 0.0045000000000000005, 1.4856, 0.0026000000000000003, 1.3056, 0.0037, 1.5009000000000001, 0.0034000000000000002, 1.4811, 0.002, 1.5008000000000001, -0.0009000000000000001, 1.3248, 0.0, 1.4924000000000002, -0.0002, 0.7014, 0.0019, 1.4961, 0.0012000000000000001, 1.1138000000000001, 0.0008, 1.4952, 0.0018000000000000002, 0.5391, 0.0006000000000000001, 1.4928000000000001, -0.0037, 1.4922, 0.0057, 0.4015, 0.030600000000000002, 0.5774, 0.1718, 0.047, 0.5186000000000001, 0.0359, 0.131, 0.0658, 0.1471, 0.4953], \"bitstrings\": [\"00100100001\", \"10100100001\"], \"total_optimization_steps\": 150, \"probabilities\": [0.21324809834752778, 0.5103346752648422], \"optimization_time\": 32.95651292800903}","0.5 * (Z(3) @ Z(5)) + 0.07380952380952381 * (Z(0) @ Z(5)) + 0.1 * (Z(0) @ Z(3)) + 0.12380952380952381 * (Z(1) @ Z(5)) + 0.07380952380952381 * (Z(1) @ Z(3)) + 0.20714285714285713 * (Z(1) @ Z(0)) + 0.07380952380952381 * (Z(2) @ Z(5)) + 0.07380952380952381 * (Z(2) @ Z(3)) + 0.07380952380952381 * (Z(2) @ Z(0)) + 0.21428571428571427 * (Z(2) @ Z(1)) + 0.12380952380952381 * (Z(6) @ Z(5)) + 0.07380952380952381 * (Z(6) @ Z(3)) + 0.07380952380952381 * (Z(6) @ Z(0)) + 0.14761904761904762 * (Z(6) @ Z(1)) + 0.09761904761904762 * (Z(6) @ Z(2)) + 0.12380952380952381 * (Z(8) @ Z(5)) + 0.12380952380952381 * (Z(8) @ Z(3)) + 0.1738095238095238 * (Z(8) @ Z(0)) + 0.14761904761904762 * (Z(8) @ Z(1)) + 0.14761904761904762 * (Z(8) @ Z(2)) + 0.14761904761904762 * (Z(8) @ Z(6)) + 0.023809523809523808 * (Z(9) @ Z(5)) + 0.07380952380952381 * (Z(9) @ Z(3)) + 0.32380952380952377 * (Z(9) @ Z(0)) + 0.13095238095238093 * (Z(9) @ Z(1)) + 0.09761904761904762 * (Z(9) @ Z(2)) + 0.047619047619047616 * (Z(9) @ Z(6)) + 0.09761904761904762 * (Z(9) @ Z(8)) + 0.31666666666666665 * (Z(4) @ Z(5)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.35 * (Z(4) @ Z(1)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(6)) + 0.26666666666666666 * (Z(4) @ Z(8)) + 0.25 * (Z(4) @ Z(9)) + 0.05 * (Z(10) @ Z(5)) + 0.023809523809523808 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(10) @ Z(0)) + 0.07380952380952381 * (Z(10) @ Z(1)) + 0.023809523809523808 * (Z(10) @ Z(2)) + 0.07380952380952381 * (Z(10) @ Z(6)) + 0.19047619047619047 * (Z(10) @ Z(8)) + 0.3571428571428571 * (Z(10) @ Z(9)) + 0.3833333333333333 * (Z(10) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(10)) + 0.5380952380952382 * Z(5) + 0.27142857142857135 * Z(3) + 0.6630952380952381 * Z(0) + 0.7345238095238095 * Z(1) + 0.5095238095238095 * Z(2) + 0.44285714285714295 * Z(6) + 0.7095238095238097 * Z(8) + 0.7011904761904761 * Z(9) + 1.0916666666666666 * Z(4) + 0.6714285714285715 * Z(10) + 0.16666666666666663 * Z(7)",6,11,1,"{\"smallest_eigenvalues\": [-3.9166666666666665], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.8976190476190475, \"smallest_bitstrings\": [\"10100100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(1.4968) q[0];\nrz(0.0035) q[0];\nrx(1.4818) q[1];\nrz(0.001) q[1];\nrx(1.4839) q[2];\nrz(0.0033) q[2];\nrx(1.4935) q[3];\nrz(0.0016) q[3];\nrx(1.4856) q[4];\nrz(0.0026) q[4];\nrx(1.5009) q[5];\nrz(0.0034) q[5];\nrx(1.5008) q[6];\nrz(-0.0009) q[6];\nrx(1.4924) q[7];\nrz(-0.0002) q[7];\nrx(1.4961) q[8];\nrz(0.0012) q[8];\nrx(1.4952) q[9];\nrz(0.0018) q[9];\nrx(1.4928) q[10];\nrz(-0.0037) q[10];\ncrx(0.1471) q[10], q[9];\ncrx(0.0658) q[10], q[8];\ncrx(0.131) q[10], q[7];\ncrx(0.0359) q[10], q[6];\ncrx(0.5186) q[10], q[5];\ncrx(0.047) q[10], q[4];\ncrx(0.1718) q[10], q[3];\ncrx(0.5774) q[10], q[2];\ncrx(0.0306) q[10], q[1];\ncrx(0.4015) q[10], q[0];\ncrx(0.4953) q[9], q[10];\ncrx(0.0658) q[9], q[8];\ncrx(0.131) q[9], q[7];\ncrx(0.0359) q[9], q[6];\ncrx(0.5186) q[9], q[5];\ncrx(0.047) q[9], q[4];\ncrx(0.1718) q[9], q[3];\ncrx(0.5774) q[9], q[2];\ncrx(0.0306) q[9], q[1];\ncrx(0.4015) q[9], q[0];\ncrx(0.4953) q[8], q[10];\ncrx(0.1471) q[8], q[9];\ncrx(0.131) q[8], q[7];\ncrx(0.0359) q[8], q[6];\ncrx(0.5186) q[8], q[5];\ncrx(0.047) q[8], q[4];\ncrx(0.1718) q[8], q[3];\ncrx(0.5774) q[8], q[2];\ncrx(0.0306) q[8], q[1];\ncrx(0.4015) q[8], q[0];\ncrx(0.4953) q[7], q[10];\ncrx(0.1471) q[7], q[9];\ncrx(0.0658) q[7], q[8];\ncrx(0.0359) q[7], q[6];\ncrx(0.5186) q[7], q[5];\ncrx(0.047) q[7], q[4];\ncrx(0.1718) q[7], q[3];\ncrx(0.5774) q[7], q[2];\ncrx(0.0306) q[7], q[1];\ncrx(0.4015) q[7], q[0];\ncrx(0.4953) q[6], q[10];\ncrx(0.1471) q[6], q[9];\ncrx(0.0658) q[6], q[8];\ncrx(0.131) q[6], q[7];\ncrx(0.5186) q[6], q[5];\ncrx(0.047) q[6], q[4];\ncrx(0.1718) q[6], q[3];\ncrx(0.5774) q[6], q[2];\ncrx(0.0306) q[6], q[1];\ncrx(0.4015) q[6], q[0];\ncrx(0.4953) q[5], q[10];\ncrx(0.1471) q[5], q[9];\ncrx(0.0658) q[5], q[8];\ncrx(0.131) q[5], q[7];\ncrx(0.0359) q[5], q[6];\ncrx(0.047) q[5], q[4];\ncrx(0.1718) q[5], q[3];\ncrx(0.5774) q[5], q[2];\ncrx(0.0306) q[5], q[1];\ncrx(0.4015) q[5], q[0];\ncrx(0.4953) q[4], q[10];\ncrx(0.1471) q[4], q[9];\ncrx(0.0658) q[4], q[8];\ncrx(0.131) q[4], q[7];\ncrx(0.0359) q[4], q[6];\ncrx(0.5186) q[4], q[5];\ncrx(0.1718) q[4], q[3];\ncrx(0.5774) q[4], q[2];\ncrx(0.0306) q[4], q[1];\ncrx(0.4015) q[4], q[0];\ncrx(0.4953) q[3], q[10];\ncrx(0.1471) q[3], q[9];\ncrx(0.0658) q[3], q[8];\ncrx(0.131) q[3], q[7];\ncrx(0.0359) q[3], q[6];\ncrx(0.5186) q[3], q[5];\ncrx(0.047) q[3], q[4];\ncrx(0.5774) q[3], q[2];\ncrx(0.0306) q[3], q[1];\ncrx(0.4015) q[3], q[0];\ncrx(0.4953) q[2], q[10];\ncrx(0.1471) q[2], q[9];\ncrx(0.0658) q[2], q[8];\ncrx(0.131) q[2], q[7];\ncrx(0.0359) q[2], q[6];\ncrx(0.5186) q[2], q[5];\ncrx(0.047) q[2], q[4];\ncrx(0.1718) q[2], q[3];\ncrx(0.0306) q[2], q[1];\ncrx(0.4015) q[2], q[0];\ncrx(0.4953) q[1], q[10];\ncrx(0.1471) q[1], q[9];\ncrx(0.0658) q[1], q[8];\ncrx(0.131) q[1], q[7];\ncrx(0.0359) q[1], q[6];\ncrx(0.5186) q[1], q[5];\ncrx(0.047) q[1], q[4];\ncrx(0.1718) q[1], q[3];\ncrx(0.5774) q[1], q[2];\ncrx(0.4015) q[1], q[0];\ncrx(0.4953) q[0], q[10];\ncrx(0.1471) q[0], q[9];\ncrx(0.0658) q[0], q[8];\ncrx(0.131) q[0], q[7];\ncrx(0.0359) q[0], q[6];\ncrx(0.5186) q[0], q[5];\ncrx(0.047) q[0], q[4];\ncrx(0.1718) q[0], q[3];\ncrx(0.5774) q[0], q[2];\ncrx(0.0306) q[0], q[1];\nrx(1.0912) q[0];\nrz(0.0085) q[0];\nrx(1.4652) q[1];\nrz(0.0074) q[1];\nrx(1.075) q[2];\nrz(0.0068) q[2];\nrx(0.4767) q[3];\nrz(0.0045) q[3];\nrx(1.3056) q[4];\nrz(0.0037) q[4];\nrx(1.4811) q[5];\nrz(0.002) q[5];\nrx(1.3248) q[6];\nrz(0) q[6];\nrx(0.7014) q[7];\nrz(0.0019) q[7];\nrx(1.1138) q[8];\nrz(0.0008) q[8];\nrx(0.5391) q[9];\nrz(0.0006) q[9];\nrx(1.4922) q[10];\nrz(0.0057) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrx(x22) q[10], q[9];\ncrx(x23) q[10], q[8];\ncrx(x24) q[10], q[7];\ncrx(x25) q[10], q[6];\ncrx(x26) q[10], q[5];\ncrx(x27) q[10], q[4];\ncrx(x28) q[10], q[3];\ncrx(x29) q[10], q[2];\ncrx(x30) q[10], q[1];\ncrx(x31) q[10], q[0];\ncrx(x32) q[9], q[10];\ncrx(x23) q[9], q[8];\ncrx(x24) q[9], q[7];\ncrx(x25) q[9], q[6];\ncrx(x26) q[9], q[5];\ncrx(x27) q[9], q[4];\ncrx(x28) q[9], q[3];\ncrx(x29) q[9], q[2];\ncrx(x30) q[9], q[1];\ncrx(x31) q[9], q[0];\ncrx(x32) q[8], q[10];\ncrx(x22) q[8], q[9];\ncrx(x24) q[8], q[7];\ncrx(x25) q[8], q[6];\ncrx(x26) q[8], q[5];\ncrx(x27) q[8], q[4];\ncrx(x28) q[8], q[3];\ncrx(x29) q[8], q[2];\ncrx(x30) q[8], q[1];\ncrx(x31) q[8], q[0];\ncrx(x32) q[7], q[10];\ncrx(x22) q[7], q[9];\ncrx(x23) q[7], q[8];\ncrx(x25) q[7], q[6];\ncrx(x26) q[7], q[5];\ncrx(x27) q[7], q[4];\ncrx(x28) q[7], q[3];\ncrx(x29) q[7], q[2];\ncrx(x30) q[7], q[1];\ncrx(x31) q[7], q[0];\ncrx(x32) q[6], q[10];\ncrx(x22) q[6], q[9];\ncrx(x23) q[6], q[8];\ncrx(x24) q[6], q[7];\ncrx(x26) q[6], q[5];\ncrx(x27) q[6], q[4];\ncrx(x28) q[6], q[3];\ncrx(x29) q[6], q[2];\ncrx(x30) q[6], q[1];\ncrx(x31) q[6], q[0];\ncrx(x32) q[5], q[10];\ncrx(x22) q[5], q[9];\ncrx(x23) q[5], q[8];\ncrx(x24) q[5], q[7];\ncrx(x25) q[5], q[6];\ncrx(x27) q[5], q[4];\ncrx(x28) q[5], q[3];\ncrx(x29) q[5], q[2];\ncrx(x30) q[5], q[1];\ncrx(x31) q[5], q[0];\ncrx(x32) q[4], q[10];\ncrx(x22) q[4], q[9];\ncrx(x23) q[4], q[8];\ncrx(x24) q[4], q[7];\ncrx(x25) q[4], q[6];\ncrx(x26) q[4], q[5];\ncrx(x28) q[4], q[3];\ncrx(x29) q[4], q[2];\ncrx(x30) q[4], q[1];\ncrx(x31) q[4], q[0];\ncrx(x32) q[3], q[10];\ncrx(x22) q[3], q[9];\ncrx(x23) q[3], q[8];\ncrx(x24) q[3], q[7];\ncrx(x25) q[3], q[6];\ncrx(x26) q[3], q[5];\ncrx(x27) q[3], q[4];\ncrx(x29) q[3], q[2];\ncrx(x30) q[3], q[1];\ncrx(x31) q[3], q[0];\ncrx(x32) q[2], q[10];\ncrx(x22) q[2], q[9];\ncrx(x23) q[2], q[8];\ncrx(x24) q[2], q[7];\ncrx(x25) q[2], q[6];\ncrx(x26) q[2], q[5];\ncrx(x27) q[2], q[4];\ncrx(x28) q[2], q[3];\ncrx(x30) q[2], q[1];\ncrx(x31) q[2], q[0];\ncrx(x32) q[1], q[10];\ncrx(x22) q[1], q[9];\ncrx(x23) q[1], q[8];\ncrx(x24) q[1], q[7];\ncrx(x25) q[1], q[6];\ncrx(x26) q[1], q[5];\ncrx(x27) q[1], q[4];\ncrx(x28) q[1], q[3];\ncrx(x29) q[1], q[2];\ncrx(x31) q[1], q[0];\ncrx(x32) q[0], q[10];\ncrx(x22) q[0], q[9];\ncrx(x23) q[0], q[8];\ncrx(x24) q[0], q[7];\ncrx(x25) q[0], q[6];\ncrx(x26) q[0], q[5];\ncrx(x27) q[0], q[4];\ncrx(x28) q[0], q[3];\ncrx(x29) q[0], q[2];\ncrx(x30) q[0], q[1];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x39) q[3];\nrz(x40) q[3];\nrx(x41) q[4];\nrz(x42) q[4];\nrx(x43) q[5];\nrz(x44) q[5];\nrx(x45) q[6];\nrz(x46) q[6];\nrx(x47) q[7];\nrz(x48) q[7];\nrx(x49) q[8];\nrz(x50) q[8];\nrx(x51) q[9];\nrz(x52) q[9];\nrx(x53) q[10];\nrz(x54) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["8c44c442a25e00dfae4e1647b2faf79f","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [6, 3], \"expectation_value\": -1.8083293888279093, \"params\": [[0.076], [-0.07690000000000001]], \"bitstrings\": [\"11001\", \"11100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.03958536219911532, 0.040709867171024886], \"optimization_time\": 1.209364414215088}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4)",18,5,1,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"11100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(0.266) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.266) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.266) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.304) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.304) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.266) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.266) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.304) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.304) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.266) q[4];\ncx q[3], q[4];\nrz(-0.418) q[1];\nrz(-0.38) q[0];\nrz(-0.418) q[2];\nrz(-0.38) q[3];\nrz(-0.38) q[4];\nh q[0];\nrz(-0.1538) q[0];\nh q[0];\nh q[1];\nrz(-0.1538) q[1];\nh q[1];\nh q[2];\nrz(-0.1538) q[2];\nh q[2];\nh q[3];\nrz(-0.1538) q[3];\nh q[3];\nh q[4];\nrz(-0.1538) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x3) q[3];\nrz(x3) q[4];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["6594032653473831357","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 5], [3, 4], [8, 4], [0, 2], [1, 2], [4, 5], [3, 7], [0, 3], [3, 5], [2, 5], [8, 7], [8, 1], [2, 6], [6, 7]]}","{\"states\": [101, 109], \"expectation_value\": -0.2852503196234693, \"params\": [0.682, 0.6855, 0.669, 0.6696000000000001, 0.8506, 0.8597, 0.8924000000000001, 0.8941, 0.6412, 0.6537000000000001, 0.8503000000000001, 0.865, 0.8953000000000001, 0.8706, 0.8200000000000001, 0.7614000000000001, 0.8934000000000001, 0.8917, 0.5191, 0.6919000000000001, 0.4202, 0.7479, 0.0779, 0.48660000000000003, 0.5258, 0.2806, -0.3667, 0.8697, -0.0727, 0.31270000000000003, 0.24980000000000002, 0.2751, -0.3327, 0.8759, -0.4693, 0.4137], \"bitstrings\": [\"110011010\", \"110010010\"], \"total_optimization_steps\": 90, \"probabilities\": [0.008107820049110002, 0.010238680095619703], \"optimization_time\": 5.471753835678101}","0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(6)",14,9,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 14, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"110011110\", \"000101101\", \"001101001\", \"110010010\", \"100001101\", \"110010110\", \"111010010\", \"001100001\", \"100101101\", \"011110010\", \"110011010\", \"011010010\", \"001101101\", \"001100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.682) q[0];\nry(0.669) q[1];\nry(0.8506) q[2];\nry(0.8924) q[3];\nry(0.6412) q[4];\nry(0.8503) q[5];\nry(0.8953) q[6];\nry(0.82) q[7];\nry(0.8934) q[8];\ncrx(0.5191) q[8], q[0];\ncrx(-0.4693) q[7], q[8];\ncrx(-0.3327) q[6], q[7];\ncrx(0.2498) q[5], q[6];\ncrx(-0.0727) q[4], q[5];\ncrx(-0.3667) q[3], q[4];\ncrx(0.5258) q[2], q[3];\ncrx(0.0779) q[1], q[2];\ncrx(0.4202) q[0], q[1];\nry(0.6855) q[0];\nry(0.6696) q[1];\nry(0.8597) q[2];\nry(0.8941) q[3];\nry(0.6537) q[4];\nry(0.865) q[5];\nry(0.8706) q[6];\nry(0.7614) q[7];\nry(0.8917) q[8];\ncrx(0.6919) q[8], q[7];\ncrx(0.7479) q[0], q[8];\ncrx(0.4866) q[0], q[1];\ncrx(0.2806) q[1], q[2];\ncrx(0.8697) q[2], q[3];\ncrx(0.3127) q[3], q[4];\ncrx(0.2751) q[4], q[5];\ncrx(0.8759) q[5], q[6];\ncrx(0.4137) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x31) q[2], q[3];\ncrx(x32) q[3], q[4];\ncrx(x33) q[4], q[5];\ncrx(x34) q[5], q[6];\ncrx(x35) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["0a9ce5e89c9dcf521e81060472c9eb03","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 8}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 8}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 8}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 1, \"source\": 7, \"target\": 6}, {\"capacity\": 1, \"source\": 7, \"target\": 8}]}","{\"states\": [67, 255], \"expectation_value\": -5.810586633489317, \"params\": null, \"bitstrings\": [\"110111100\", \"100000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.07098029800654196, 0.73099424589875], \"optimization_time\": 196.94770574569702}","-0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(8) @ Z(5)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(8) + 0.0 * Z(1) + 0.5 * Z(3) + -0.5 * Z(4) + 0.5 * Z(7) + 1.0 * Z(2) + -0.75 * Z(6)",1,9,2,"{\"smallest_eigenvalues\": [-6.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.75, \"smallest_bitstrings\": [\"100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[2];\ncry(1.5158) q[1], q[3];\ncry(1.5157) q[2], q[7];\ncry(1.2167) q[3], q[1];\ncry(1.4867) q[3], q[5];\ncry(1.502) q[5], q[8];\ncry(-1.4676) q[8], q[0];\ncry(1.3016) q[1], q[4];\ncry(1.546) q[1], q[6];\ncry(0.2668) q[6], q[4];\ncry(-0.1933) q[2], q[6];\ncry(0.2159) q[3], q[6];\nry(-0.1986) q[6];\ncry(-0.226) q[2], q[4];\ncry(0.226) q[3], q[4];\nry(-0.2121) q[4];\ncry(0.169) q[4], q[6];\ncry(-0.2084) q[7], q[6];\ncry(-0.1496) q[2], q[5];\ncry(0.2081) q[1], q[5];\ncry(-0.2181) q[8], q[5];\ncry(0.1846) q[6], q[5];\nry(-0.1596) q[5];\ncry(0.1714) q[5], q[6];\ncry(0.1455) q[5], q[4];\ncry(-0.14) q[7], q[4];\ncry(0.1311) q[4], q[5];\ncry(-0.1106) q[7], q[5];\ncry(-0.1168) q[8], q[6];\nry(-0.0966) q[0];\ncry(0.0553) q[6], q[7];\ncry(0.0543) q[1], q[8];\nry(0.031) q[3];\ncry(-0.1303) q[0], q[6];\ncry(0.0342) q[8], q[4];\ncry(-0.0098) q[7], q[8];\ncry(-0.093) q[0], q[4];\ncry(0.0121) q[4], q[1];\ncry(-0.0007) q[7], q[1];\nry(-0.0011) q[7];\ncry(0.002) q[7], q[2];\ncry(0.0344) q[0], q[5];\ncry(0.0014) q[7], q[3];\ncry(0.0098) q[3], q[8];\nry(-0.0088) q[8];\ncry(0.0081) q[6], q[8];\ncry(-0.0062) q[4], q[0];\ncry(0.0001) q[6], q[3];\ncry(0.0009) q[3], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"source\": 0, \"sink\": 8}",{"$cut":{"chars":117746,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[2];\\ncry(1.5158) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[2];\\ncry(1.5158) q[1], q[3];\\ncry(1.5157) q[2], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[2];\\ncry(1.5158) q[1], q[3];\\ncry(1.5157) q[2], q[7];\\ncry(1.2167) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[2];\\ncry(1.5158) q[1], q[3];\\ncry(1.5157) q[2], q[7];\\ncry(1.2167) q[3], q[1];\\ncry(1.4867) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[2];\\ncry(1.5158) q[1], q[3];\\ncry(1.5157) q[2], q[7];\\ncry(1.2167) q[3], q[1];\\ncry(1.4867) q[3], q[5];\\ncry(1.502) q[5], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[2];\\ncry(1.5158) q[1], q[3];\\ncry(1.5157) q[2], q[7];\\ncry(1.2167) q[3], q[1];\\ncry(1.4867) q[3], q[5];\\ncry(1.502) q[5], q[8];\\ncry(-1.4676) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[2];\\ncry(1.5158) q[1], q[3];\\ncry(1.5157) q[2], q[7];\\ncry(1.2167) q[3], q[1];\\ncry(1.4867) q[3], q[5];\\ncry(1.502) q[5], q[8];\\ncry(-1.4676) q[8], q[0];\\ncry(1.3016) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[2];\\ncry(1.5158) q[1], q[3];\\ncry(1.5157) q[2], q[7];\\ncry(1.2167) q[3], q[1];\\ncry(1.4867) q[3], q[5];\\ncry(1.502) q[5], q[8];\\ncry(-1.4676) q[8], q[0];\\ncry(1.3016) q[1], q[4];\\ncry(1.546) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q"}}]
["410a620476bb1ab89428221268021245","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [12, 72], \"expectation_value\": -6.411631293735966, \"params\": null, \"bitstrings\": [\"1110011\", \"0110111\"], \"total_optimization_steps\": 20, \"probabilities\": [0.0601264549783317, 0.788819012488134], \"optimization_time\": 16.32986879348755}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -2.0 * Z(5) + -2.5 * Z(6) + -1.5 * Z(2) + -1.0 * Z(3)",1,7,1,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"1101011\", \"0101111\", \"1110101\", \"1110011\", \"0110111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nry(-1.5708) q[6];\nry(-1.5681) q[5];\ncry(-1.0343) q[0], q[4];\ncry(-1.0343) q[3], q[2];\nry(0.7003) q[3];\nry(0.7003) q[0];\nry(-0.4549) q[2];\nry(-0.4549) q[4];\ncry(0.4578) q[3], q[0];\ncry(0.4515) q[0], q[3];\ncry(-0.3537) q[0], q[2];\ncry(-0.3472) q[3], q[4];\ncry(0.1049) q[2], q[0];\ncry(0.1015) q[4], q[3];\ncry(-0.099) q[2], q[3];\ncry(-0.0945) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\ncry(-0.3537) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\ncry(-0.3537) q[0], q[2];\\ncry(-0.3472) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\ncry(-0.3537) q[0], q[2];\\ncry(-0.3472) q[3], q[4];\\ncry(0.1049) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\ncry(-0.3537) q[0], q[2];\\ncry(-0.3472) q[3], q[4];\\ncry(0.1049) q[2], q[0];\\ncry(0.1015) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\ncry(-0.3537) q[0], q[2];\\ncry(-0.3472) q[3], q[4];\\ncry(0.1049) q[2], q[0];\\ncry(0.1015) q[4], q[3];\\ncry(-0.099) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\ncry(-0.3537) q[0], q[2];\\ncry(-0.3472) q[3], q[4];\\ncry(0.1049) q[2], q[0];\\ncry(0.1015) q[4], q[3];\\ncry(-0.099) q[2], q[3];\\ncry(-0.0945) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\ncry(-0.3537) q[0], q[2];\\ncry(-0.3472) q[3], q[4];\\ncry(0.1049) q[2], q[0];\\ncry(0.1015) q[4], q[3];\\ncry(-0.099) q[2], q[3];\\ncry(-0.0945) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\ncry(-0.3537) q[0], q[2];\\ncry(-0.3472) q[3], q[4];\\ncry(0.1049) q[2], q[0];\\ncry(0.1015) q[4], q[3];\\ncry(-0.099) q[2], q[3];\\ncry(-0.0945) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[6];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[0], q[4];\\ncry(-1.0343) q[3], q[2];\\nry(0.7003) q[3];\\nry(0.7003) q[0];\\nry(-0.4549) q[2];\\nry(-0.4549) q[4];\\ncry(0.4578) q[3], q[0];\\ncry(0.4515) q[0], q[3];\\ncry(-0.3537) q[0], q[2];\\ncry(-0.3472) q[3], q[4];\\ncry(0.1049) q[2], q[0];\\ncry(0.1015) q[4], q[3];\\ncry(-0.099) q[2], q[3];\\ncry(-0.0945) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [2.517, 2.0112, 1.0053, 0.2506, 0.2506, 0.2461, 0.2457, 0.188, 0.1878, 0.1758, 0.188, 0.1593, 0.1561, 0.0224, 0.0217, 0.0217, 0.0207, 0.0043, 0.0043, 0.0026]}"]
["b71e19e9218fad76a8b04d982d3356d2","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 6}, {\"weight\": 19, \"source\": 0, \"target\": 8}, {\"weight\": 20, \"source\": 0, \"target\": 11}, {\"weight\": 9, \"source\": 1, \"target\": 7}, {\"weight\": 4, \"source\": 2, \"target\": 8}, {\"weight\": 4, \"source\": 3, \"target\": 9}, {\"weight\": 8, \"source\": 4, \"target\": 10}, {\"weight\": 17, \"source\": 4, \"target\": 7}, {\"weight\": 5, \"source\": 5, \"target\": 11}, {\"weight\": 13, \"source\": 5, \"target\": 9}, {\"weight\": 15, \"source\": 5, \"target\": 8}]}","{\"states\": [1295, 1291], \"expectation_value\": -95.40638012050707, \"params\": [1.2988, 0.2717, 0.3235, 0.5669000000000001, 1.2962, -0.0608, 0.0119, -0.6269, 0.4666, -0.3996, 0.0019, 0.7561, -0.005, 0.9268000000000001, 1.3035, -0.045000000000000005, 0.7922, -0.2349, 1.2992000000000001, -0.0037, 1.3026, 0.0017000000000000001, 1.3004, 0.0046, 0.3306, 0.0051, 1.2983, 0.002, 0.0061, 0.0023, 0.4726, 0.0026000000000000003, 0.0019, 0.0094, -0.0036000000000000003, 0.0077, 1.3057, 0.004, 0.7989, 0.0028, 1.2970000000000002, 0.004, 1.3004, 0.0055000000000000005, 0.0001, 0.5399, 0.07060000000000001, -0.1288, 0.6004, 0.46, -0.6985, 0.899, -0.1419, -0.2066, -0.0094, 0.0078000000000000005, 0.006500000000000001, 0.008400000000000001, 0.0088, 0.0046, 0.009600000000000001, 0.0081, 0.008700000000000001, 0.0001, 0.0095, 0.0025], \"bitstrings\": [\"01011110000\", \"01011110100\"], \"total_optimization_steps\": 130, \"probabilities\": [0.2545854585652235, 0.25887882271367785], \"optimization_time\": 42.21771597862244}","6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(7)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(5) @ Z(10)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(10)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + 6.5 * (Z(9) @ Z(8)) + 16.5 * Z(0) + 22.5 * Z(2) + 0.5 * Z(1) + 2.0 * Z(4) + 8.5 * Z(7) + -2.0 * Z(3) + -2.5 * Z(6) + 13.0 * Z(10) + -4.5 * Z(5) + 9.0 * Z(8) + 20.5 * Z(9)",18,11,2,"{\"smallest_eigenvalues\": [-124.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -107.0, \"smallest_bitstrings\": [\"01011110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(1.2988) q[0];\nrz(0.2717) q[0];\nrx(0.3235) q[1];\nrz(0.5669) q[1];\nrx(1.2962) q[2];\nrz(-0.0608) q[2];\nrx(0.0119) q[3];\nrz(-0.6269) q[3];\nrx(0.4666) q[4];\nrz(-0.3996) q[4];\nrx(0.0019) q[5];\nrz(0.7561) q[5];\nrx(-0.005) q[6];\nrz(0.9268) q[6];\nrx(1.3035) q[7];\nrz(-0.045) q[7];\nrx(0.7922) q[8];\nrz(-0.2349) q[8];\nrx(1.2992) q[9];\nrz(-0.0037) q[9];\nrx(1.3026) q[10];\nrz(0.0017) q[10];\ncrz(0.0001) q[10], q[0];\ncrz(-0.0094) q[9], q[10];\ncrz(-0.2066) q[8], q[9];\ncrz(-0.1419) q[7], q[8];\ncrz(0.899) q[6], q[7];\ncrz(-0.6985) q[5], q[6];\ncrz(0.46) q[4], q[5];\ncrz(0.6004) q[3], q[4];\ncrz(-0.1288) q[2], q[3];\ncrz(0.0706) q[1], q[2];\ncrz(0.5399) q[0], q[1];\nrx(1.3004) q[0];\nrz(0.0046) q[0];\nrx(0.3306) q[1];\nrz(0.0051) q[1];\nrx(1.2983) q[2];\nrz(0.002) q[2];\nrx(0.0061) q[3];\nrz(0.0023) q[3];\nrx(0.4726) q[4];\nrz(0.0026) q[4];\nrx(0.0019) q[5];\nrz(0.0094) q[5];\nrx(-0.0036) q[6];\nrz(0.0077) q[6];\nrx(1.3057) q[7];\nrz(0.004) q[7];\nrx(0.7989) q[8];\nrz(0.0028) q[8];\nrx(1.297) q[9];\nrz(0.004) q[9];\nrx(1.3004) q[10];\nrz(0.0055) q[10];\ncrz(0.0078) q[10], q[0];\ncrz(0.0025) q[9], q[10];\ncrz(0.0095) q[8], q[9];\ncrz(0.0001) q[7], q[8];\ncrz(0.0087) q[6], q[7];\ncrz(0.0081) q[5], q[6];\ncrz(0.0096) q[4], q[5];\ncrz(0.0046) q[3], q[4];\ncrz(0.0088) q[2], q[3];\ncrz(0.0084) q[1], q[2];\ncrz(0.0065) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrz(x22) q[10], q[0];\ncrz(x23) q[9], q[10];\ncrz(x24) q[8], q[9];\ncrz(x25) q[7], q[8];\ncrz(x26) q[6], q[7];\ncrz(x27) q[5], q[6];\ncrz(x28) q[4], q[5];\ncrz(x29) q[3], q[4];\ncrz(x30) q[2], q[3];\ncrz(x31) q[1], q[2];\ncrz(x32) q[0], q[1];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x39) q[3];\nrz(x40) q[3];\nrx(x41) q[4];\nrz(x42) q[4];\nrx(x10) q[5];\nrz(x43) q[5];\nrx(x44) q[6];\nrz(x45) q[6];\nrx(x46) q[7];\nrz(x47) q[7];\nrx(x48) q[8];\nrz(x49) q[8];\nrx(x50) q[9];\nrz(x47) q[9];\nrx(x33) q[10];\nrz(x51) q[10];\ncrz(x52) q[10], q[0];\ncrz(x53) q[9], q[10];\ncrz(x54) q[8], q[9];\ncrz(x22) q[7], q[8];\ncrz(x55) q[6], q[7];\ncrz(x56) q[5], q[6];\ncrz(x57) q[4], q[5];\ncrz(x34) q[3], q[4];\ncrz(x58) q[2], q[3];\ncrz(x59) q[1], q[2];\ncrz(x60) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"perfect_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["0f435eed505f807fb8dc44643dfd43ce","hamiltonian_path","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 22, \"source\": 0, \"target\": 2}, {\"weight\": 25, \"source\": 0, \"target\": 3}, {\"weight\": 2, \"source\": 1, \"target\": 2}, {\"weight\": 24, \"source\": 1, \"target\": 3}, {\"weight\": 5, \"source\": 2, \"target\": 3}, {\"weight\": 10, \"source\": 3, \"target\": 4}]}","{\"states\": [413, 427], \"expectation_value\": -0.3388536619076323, \"params\": [[0.0669], [-0.0729]], \"bitstrings\": [\"001100010\", \"001010100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0023172340901928302, 0.0023172340901928307], \"optimization_time\": 2.245340347290039}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.0 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(3) + 1.0 * Z(4) + 1.0 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001010100\", \"001100010\", \"010001100\", \"010100001\", \"100010001\", \"100001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.0669) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0669) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0669) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0669) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0669) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0669) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.0669) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0669) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0669) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0.0669) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0669) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.0669) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.0669) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0669) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(0.0669) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(0.0669) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(0.0669) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.0669) q[8];\ncx q[7], q[8];\nrz(0.1338) q[1];\nrz(0.1338) q[0];\nrz(0.1338) q[2];\nrz(0.1338) q[3];\nrz(0.1338) q[4];\nrz(0.1338) q[5];\nrz(0.1338) q[6];\nrz(0.1338) q[7];\nrz(0.1338) q[8];\nh q[0];\nrz(-0.1458) q[0];\nh q[0];\nh q[1];\nrz(-0.1458) q[1];\nh q[1];\nh q[2];\nrz(-0.1458) q[2];\nh q[2];\nh q[3];\nrz(-0.1458) q[3];\nh q[3];\nh q[4];\nrz(-0.1458) q[4];\nh q[4];\nh q[5];\nrz(-0.1458) q[5];\nh q[5];\nh q[6];\nrz(-0.1458) q[6];\nh q[6];\nh q[7];\nrz(-0.1458) q[7];\nh q[7];\nh q[8];\nrz(-0.1458) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x1) q[3];\nrz(x1) q[4];\nrz(x1) q[5];\nrz(x1) q[6];\nrz(x1) q[7];\nrz(x1) q[8];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nh q[8];\nrz(x2) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"start_node\": 0, \"end_node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["647de892521e2aa63be27d4c6c55af2d","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}]}","{\"states\": [0, 126], \"expectation_value\": -6.994546215142452, \"params\": [0.3113, 0.2373, -0.41500000000000004, 0.7084, 0.5061, 0.7871, -0.42010000000000003, 0.931, 0.4949, 1.1881000000000002, -0.3935, 1.1116000000000001, 0.5013000000000001, 1.2690000000000001, -0.4667, 1.2343, -0.5324, 0.18080000000000002, -0.5578000000000001, 0.4703, -0.4788, -0.041, -0.5812, 0.48750000000000004, 0.030500000000000003, 0.41450000000000004, -0.21030000000000001, 0.8888, 0.2049, 0.6645, -0.2926, 1.3081, 0.33690000000000003, 0.4822, -0.3361, 1.0426, 0.3765, 0.7003, -0.3, 0.9061, 0.3229, 1.0317, -0.1836, 0.7972, -0.4919, 0.5675, -0.557, 1.2519, -0.46690000000000004, 0.9977, -0.4707, 1.0947, -0.30810000000000004, 0.1956, -0.0379, -0.07590000000000001, 0.1247, 1.0889, 0.1651, 0.004, 0.32580000000000003, 0.6361, -0.0267, 0.009300000000000001, 0.3299, 0.7196, -0.0054, 0.0035, 0.1573, 0.6928000000000001, -0.0318, 0.004, 0.5505, 0.9882000000000001, -0.5623, 0.0094, 0.2874, 0.7527, -0.5732, 0.009600000000000001, -0.0183, -0.1496, 0.1429, 0.0077, 0.1849, 0.5298, 0.8423, 0.6792, 1.0271000000000001, 1.3445, 0.44060000000000005, 1.0070000000000001, 0.9129, 0.8145, 0.7617, 0.6437, 0.5567, 0.433, -0.0339, -0.055400000000000005, -0.13140000000000002, -0.1264, -1.0823, -1.1348, -0.386], \"bitstrings\": [\"1111111\", \"0000001\"], \"total_optimization_steps\": 160, \"probabilities\": [0.31049221191939724, 0.34260888865094374], \"optimization_time\": 96.80278491973877}","-2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + -0.5 * Z(6)",6,7,3,"{\"smallest_eigenvalues\": [-11.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -10.0, \"smallest_bitstrings\": [\"0000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.3113) q[0];\nrz(0.2373) q[0];\nrx(0.5061) q[1];\nrz(0.7871) q[1];\nrx(0.4949) q[2];\nrz(1.1881) q[2];\nrx(0.5013) q[3];\nrz(1.269) q[3];\nrx(-0.5324) q[4];\nrz(0.1808) q[4];\nrx(-0.4788) q[5];\nrz(-0.041) q[5];\nrx(0.0305) q[6];\nrz(0.4145) q[6];\ncrx(1.3445) q[6], q[5];\ncrx(1.0271) q[6], q[4];\ncrx(0.6792) q[6], q[3];\ncrx(0.8423) q[6], q[2];\ncrx(0.5298) q[6], q[1];\ncrx(0.1849) q[6], q[0];\ncrx(0.4406) q[5], q[6];\ncrx(1.0271) q[5], q[4];\ncrx(0.6792) q[5], q[3];\ncrx(0.8423) q[5], q[2];\ncrx(0.5298) q[5], q[1];\ncrx(0.1849) q[5], q[0];\ncrx(0.4406) q[4], q[6];\ncrx(1.3445) q[4], q[5];\ncrx(0.6792) q[4], q[3];\ncrx(0.8423) q[4], q[2];\ncrx(0.5298) q[4], q[1];\ncrx(0.1849) q[4], q[0];\ncrx(0.4406) q[3], q[6];\ncrx(1.3445) q[3], q[5];\ncrx(1.0271) q[3], q[4];\ncrx(0.8423) q[3], q[2];\ncrx(0.5298) q[3], q[1];\ncrx(0.1849) q[3], q[0];\ncrx(0.4406) q[2], q[6];\ncrx(1.3445) q[2], q[5];\ncrx(1.0271) q[2], q[4];\ncrx(0.6792) q[2], q[3];\ncrx(0.5298) q[2], q[1];\ncrx(0.1849) q[2], q[0];\ncrx(0.4406) q[1], q[6];\ncrx(1.3445) q[1], q[5];\ncrx(1.0271) q[1], q[4];\ncrx(0.6792) q[1], q[3];\ncrx(0.8423) q[1], q[2];\ncrx(0.1849) q[1], q[0];\ncrx(0.4406) q[0], q[6];\ncrx(1.3445) q[0], q[5];\ncrx(1.0271) q[0], q[4];\ncrx(0.6792) q[0], q[3];\ncrx(0.8423) q[0], q[2];\ncrx(0.5298) q[0], q[1];\nrx(-0.415) q[0];\nrz(0.7084) q[0];\nrx(-0.4201) q[1];\nrz(0.931) q[1];\nrx(-0.3935) q[2];\nrz(1.1116) q[2];\nrx(-0.4667) q[3];\nrz(1.2343) q[3];\nrx(-0.5578) q[4];\nrz(0.4703) q[4];\nrx(-0.5812) q[5];\nrz(0.4875) q[5];\nrx(-0.2103) q[6];\nrz(0.8888) q[6];\nrx(0.2049) q[0];\nrz(0.6645) q[0];\nrx(0.3369) q[1];\nrz(0.4822) q[1];\nrx(0.3765) q[2];\nrz(0.7003) q[2];\nrx(0.3229) q[3];\nrz(1.0317) q[3];\nrx(-0.4919) q[4];\nrz(0.5675) q[4];\nrx(-0.4669) q[5];\nrz(0.9977) q[5];\nrx(-0.3081) q[6];\nrz(0.1956) q[6];\ncrx(0.5567) q[6], q[5];\ncrx(0.6437) q[6], q[4];\ncrx(0.7617) q[6], q[3];\ncrx(0.8145) q[6], q[2];\ncrx(0.9129) q[6], q[1];\ncrx(1.007) q[6], q[0];\ncrx(0.433) q[5], q[6];\ncrx(0.6437) q[5], q[4];\ncrx(0.7617) q[5], q[3];\ncrx(0.8145) q[5], q[2];\ncrx(0.9129) q[5], q[1];\ncrx(1.007) q[5], q[0];\ncrx(0.433) q[4], q[6];\ncrx(0.5567) q[4], q[5];\ncrx(0.7617) q[4], q[3];\ncrx(0.8145) q[4], q[2];\ncrx(0.9129) q[4], q[1];\ncrx(1.007) q[4], q[0];\ncrx(0.433) q[3], q[6];\ncrx(0.5567) q[3], q[5];\ncrx(0.6437) q[3], q[4];\ncrx(0.8145) q[3], q[2];\ncrx(0.9129) q[3], q[1];\ncrx(1.007) q[3], q[0];\ncrx(0.433) q[2], q[6];\ncrx(0.5567) q[2], q[5];\ncrx(0.6437) q[2], q[4];\ncrx(0.7617) q[2], q[3];\ncrx(0.9129) q[2], q[1];\ncrx(1.007) q[2], q[0];\ncrx(0.433) q[1], q[6];\ncrx(0.5567) q[1], q[5];\ncrx(0.6437) q[1], q[4];\ncrx(0.7617) q[1], q[3];\ncrx(0.8145) q[1], q[2];\ncrx(1.007) q[1], q[0];\ncrx(0.433) q[0], q[6];\ncrx(0.5567) q[0], q[5];\ncrx(0.6437) q[0], q[4];\ncrx(0.7617) q[0], q[3];\ncrx(0.8145) q[0], q[2];\ncrx(0.9129) q[0], q[1];\nrx(-0.2926) q[0];\nrz(1.3081) q[0];\nrx(-0.3361) q[1];\nrz(1.0426) q[1];\nrx(-0.3) q[2];\nrz(0.9061) q[2];\nrx(-0.1836) q[3];\nrz(0.7972) q[3];\nrx(-0.557) q[4];\nrz(1.2519) q[4];\nrx(-0.4707) q[5];\nrz(1.0947) q[5];\nrx(-0.0379) q[6];\nrz(-0.0759) q[6];\nrx(0.1247) q[0];\nrz(1.0889) q[0];\nrx(0.3258) q[1];\nrz(0.6361) q[1];\nrx(0.3299) q[2];\nrz(0.7196) q[2];\nrx(0.1573) q[3];\nrz(0.6928) q[3];\nrx(0.5505) q[4];\nrz(0.9882) q[4];\nrx(0.2874) q[5];\nrz(0.7527) q[5];\nrx(-0.0183) q[6];\nrz(-0.1496) q[6];\ncrx(-1.1348) q[6], q[5];\ncrx(-1.0823) q[6], q[4];\ncrx(-0.1264) q[6], q[3];\ncrx(-0.1314) q[6], q[2];\ncrx(-0.0554) q[6], q[1];\ncrx(-0.0339) q[6], q[0];\ncrx(-0.386) q[5], q[6];\ncrx(-1.0823) q[5], q[4];\ncrx(-0.1264) q[5], q[3];\ncrx(-0.1314) q[5], q[2];\ncrx(-0.0554) q[5], q[1];\ncrx(-0.0339) q[5], q[0];\ncrx(-0.386) q[4], q[6];\ncrx(-1.1348) q[4], q[5];\ncrx(-0.1264) q[4], q[3];\ncrx(-0.1314) q[4], q[2];\ncrx(-0.0554) q[4], q[1];\ncrx(-0.0339) q[4], q[0];\ncrx(-0.386) q[3], q[6];\ncrx(-1.1348) q[3], q[5];\ncrx(-1.0823) q[3], q[4];\ncrx(-0.1314) q[3], q[2];\ncrx(-0.0554) q[3], q[1];\ncrx(-0.0339) q[3], q[0];\ncrx(-0.386) q[2], q[6];\ncrx(-1.1348) q[2], q[5];\ncrx(-1.0823) q[2], q[4];\ncrx(-0.1264) q[2], q[3];\ncrx(-0.0554) q[2], q[1];\ncrx(-0.0339) q[2], q[0];\ncrx(-0.386) q[1], q[6];\ncrx(-1.1348) q[1], q[5];\ncrx(-1.0823) q[1], q[4];\ncrx(-0.1264) q[1], q[3];\ncrx(-0.1314) q[1], q[2];\ncrx(-0.0339) q[1], q[0];\ncrx(-0.386) q[0], q[6];\ncrx(-1.1348) q[0], q[5];\ncrx(-1.0823) q[0], q[4];\ncrx(-0.1264) q[0], q[3];\ncrx(-0.1314) q[0], q[2];\ncrx(-0.0554) q[0], q[1];\nrx(0.1651) q[0];\nrz(0.004) q[0];\nrx(-0.0267) q[1];\nrz(0.0093) q[1];\nrx(-0.0054) q[2];\nrz(0.0035) q[2];\nrx(-0.0318) q[3];\nrz(0.004) q[3];\nrx(-0.5623) q[4];\nrz(0.0094) q[4];\nrx(-0.5732) q[5];\nrz(0.0096) q[5];\nrx(0.1429) q[6];\nrz(0.0077) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrx(x14) q[6], q[5];\ncrx(x15) q[6], q[4];\ncrx(x16) q[6], q[3];\ncrx(x17) q[6], q[2];\ncrx(x18) q[6], q[1];\ncrx(x19) q[6], q[0];\ncrx(x20) q[5], q[6];\ncrx(x15) q[5], q[4];\ncrx(x16) q[5], q[3];\ncrx(x17) q[5], q[2];\ncrx(x18) q[5], q[1];\ncrx(x19) q[5], q[0];\ncrx(x20) q[4], q[6];\ncrx(x14) q[4], q[5];\ncrx(x16) q[4], q[3];\ncrx(x17) q[4], q[2];\ncrx(x18) q[4], q[1];\ncrx(x19) q[4], q[0];\ncrx(x20) q[3], q[6];\ncrx(x14) q[3], q[5];\ncrx(x15) q[3], q[4];\ncrx(x17) q[3], q[2];\ncrx(x18) q[3], q[1];\ncrx(x19) q[3], q[0];\ncrx(x20) q[2], q[6];\ncrx(x14) q[2], q[5];\ncrx(x15) q[2], q[4];\ncrx(x16) q[2], q[3];\ncrx(x18) q[2], q[1];\ncrx(x19) q[2], q[0];\ncrx(x20) q[1], q[6];\ncrx(x14) q[1], q[5];\ncrx(x15) q[1], q[4];\ncrx(x16) q[1], q[3];\ncrx(x17) q[1], q[2];\ncrx(x19) q[1], q[0];\ncrx(x20) q[0], q[6];\ncrx(x14) q[0], q[5];\ncrx(x15) q[0], q[4];\ncrx(x16) q[0], q[3];\ncrx(x17) q[0], q[2];\ncrx(x18) q[0], q[1];\nrx(x21) q[0];\nrz(x22) q[0];\nrx(x23) q[1];\nrz(x24) q[1];\nrx(x25) q[2];\nrz(x26) q[2];\nrx(x27) q[3];\nrz(x28) q[3];\nrx(x29) q[4];\nrz(x30) q[4];\nrx(x31) q[5];\nrz(x32) q[5];\nrx(x33) q[6];\nrz(x34) q[6];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x41) q[3];\nrz(x42) q[3];\nrx(x43) q[4];\nrz(x44) q[4];\nrx(x45) q[5];\nrz(x46) q[5];\nrx(x47) q[6];\nrz(x48) q[6];\ncrx(x49) q[6], q[5];\ncrx(x50) q[6], q[4];\ncrx(x51) q[6], q[3];\ncrx(x52) q[6], q[2];\ncrx(x53) q[6], q[1];\ncrx(x54) q[6], q[0];\ncrx(x55) q[5], q[6];\ncrx(x50) q[5], q[4];\ncrx(x51) q[5], q[3];\ncrx(x52) q[5], q[2];\ncrx(x53) q[5], q[1];\ncrx(x54) q[5], q[0];\ncrx(x55) q[4], q[6];\ncrx(x49) q[4], q[5];\ncrx(x51) q[4], q[3];\ncrx(x52) q[4], q[2];\ncrx(x53) q[4], q[1];\ncrx(x54) q[4], q[0];\ncrx(x55) q[3], q[6];\ncrx(x49) q[3], q[5];\ncrx(x50) q[3], q[4];\ncrx(x52) q[3], q[2];\ncrx(x53) q[3], q[1];\ncrx(x54) q[3], q[0];\ncrx(x55) q[2], q[6];\ncrx(x49) q[2], q[5];\ncrx(x50) q[2], q[4];\ncrx(x51) q[2], q[3];\ncrx(x53) q[2], q[1];\ncrx(x54) q[2], q[0];\ncrx(x55) q[1], q[6];\ncrx(x49) q[1], q[5];\ncrx(x50) q[1], q[4];\ncrx(x51) q[1], q[3];\ncrx(x52) q[1], q[2];\ncrx(x54) q[1], q[0];\ncrx(x55) q[0], q[6];\ncrx(x49) q[0], q[5];\ncrx(x50) q[0], q[4];\ncrx(x51) q[0], q[3];\ncrx(x52) q[0], q[2];\ncrx(x53) q[0], q[1];\nrx(x56) q[0];\nrz(x57) q[0];\nrx(x58) q[1];\nrz(x59) q[1];\nrx(x60) q[2];\nrz(x61) q[2];\nrx(x62) q[3];\nrz(x63) q[3];\nrx(x64) q[4];\nrz(x65) q[4];\nrx(x66) q[5];\nrz(x67) q[5];\nrx(x68) q[6];\nrz(x69) q[6];\nrx(x70) q[0];\nrz(x71) q[0];\nrx(x72) q[1];\nrz(x73) q[1];\nrx(x74) q[2];\nrz(x75) q[2];\nrx(x76) q[3];\nrz(x77) q[3];\nrx(x78) q[4];\nrz(x79) q[4];\nrx(x80) q[5];\nrz(x81) q[5];\nrx(x82) q[6];\nrz(x83) q[6];\ncrx(x84) q[6], q[5];\ncrx(x85) q[6], q[4];\ncrx(x86) q[6], q[3];\ncrx(x87) q[6], q[2];\ncrx(x88) q[6], q[1];\ncrx(x89) q[6], q[0];\ncrx(x90) q[5], q[6];\ncrx(x85) q[5], q[4];\ncrx(x86) q[5], q[3];\ncrx(x87) q[5], q[2];\ncrx(x88) q[5], q[1];\ncrx(x89) q[5], q[0];\ncrx(x90) q[4], q[6];\ncrx(x84) q[4], q[5];\ncrx(x86) q[4], q[3];\ncrx(x87) q[4], q[2];\ncrx(x88) q[4], q[1];\ncrx(x89) q[4], q[0];\ncrx(x90) q[3], q[6];\ncrx(x84) q[3], q[5];\ncrx(x85) q[3], q[4];\ncrx(x87) q[3], q[2];\ncrx(x88) q[3], q[1];\ncrx(x89) q[3], q[0];\ncrx(x90) q[2], q[6];\ncrx(x84) q[2], q[5];\ncrx(x85) q[2], q[4];\ncrx(x86) q[2], q[3];\ncrx(x88) q[2], q[1];\ncrx(x89) q[2], q[0];\ncrx(x90) q[1], q[6];\ncrx(x84) q[1], q[5];\ncrx(x85) q[1], q[4];\ncrx(x86) q[1], q[3];\ncrx(x87) q[1], q[2];\ncrx(x89) q[1], q[0];\ncrx(x90) q[0], q[6];\ncrx(x84) q[0], q[5];\ncrx(x85) q[0], q[4];\ncrx(x86) q[0], q[3];\ncrx(x87) q[0], q[2];\ncrx(x88) q[0], q[1];\nrx(x91) q[0];\nrz(x92) q[0];\nrx(x93) q[1];\nrz(x94) q[1];\nrx(x95) q[2];\nrz(x96) q[2];\nrx(x97) q[3];\nrz(x92) q[3];\nrx(x98) q[4];\nrz(x99) q[4];\nrx(x100) q[5];\nrz(x101) q[5];\nrx(x102) q[6];\nrz(x103) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"node\": 6}","{\"circuits\": [], \"gradients\": []}"]
["fca2293c2a9a83d1eeb5cc8ed6acc934","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 4}]}","{\"states\": [86, 116], \"expectation_value\": -4.999874628887887, \"params\": null, \"bitstrings\": [\"0101001\", \"0001011\"], \"total_optimization_steps\": 36, \"probabilities\": [1.7184297198140115e-05, 0.9999247925092263], \"optimization_time\": 34.528550148010254}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4)",1,7,3,"{\"smallest_eigenvalues\": [-5.0, -5.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"0001011\", \"1101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nry(-1.4449) q[6];\nry(-1.4449) q[5];\nry(1.4449) q[4];\nry(1.4449) q[2];\nry(1.4384) q[1];\nry(1.4384) q[0];\ncry(-0.1259) q[1], q[6];\ncry(-0.1259) q[1], q[5];\ncry(0.1248) q[4], q[0];\ncry(0.1244) q[0], q[1];\ncry(0.1188) q[0], q[2];\ncry(0.1186) q[2], q[4];\ncry(-0.0005) q[4], q[6];\ncry(-0.0005) q[4], q[5];\ncry(0.0076) q[1], q[0];\ncry(0.007) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":19703,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4449) q[4];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4384) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4384) q[1];\\nry(1.4384) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4384) q[1];\\nry(1.4384) q[0];\\ncry(-0.1259) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4384) q[1];\\nry(1.4384) q[0];\\ncry(-0.1259) q[1], q[6];\\ncry(-0.1259) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4384) q[1];\\nry(1.4384) q[0];\\ncry(-0.1259) q[1], q[6];\\ncry(-0.1259) q[1], q[5];\\ncry(0.1248) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\"}}]
["68520e2727d515c1e688a9314ba491c0","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 6, \"target\": 9}]}","{\"states\": [407, 279], \"expectation_value\": -7.271172272807277, \"params\": [[[-0.0022, 0.0011], [1.7120000000000002, 0.0036000000000000003], [1.5304, 0.0], [-0.005, 0.0025], [0.0031000000000000003, 0.007], [1.7058, 0.008], [-0.0034000000000000002, 0.0035], [1.7020000000000002, 0.0], [1.6147, 0.0041], [1.7057, 0.008]]], \"bitstrings\": [\"1001101000\", \"1011101000\"], \"total_optimization_steps\": 170, \"probabilities\": [0.02598763446180972, 0.028177281902194387], \"optimization_time\": 3.3479743003845215}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -2.5 * Z(4) + -0.5 * Z(7) + -1.5 * Z(8) + -2.0 * Z(3) + -2.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-9.5, -9.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -8.5, \"smallest_bitstrings\": [\"1001101010\", \"1011101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.0022) q[0];\nrz(0.0011) q[0];\nrx(1.712) q[1];\nrz(0.0036) q[1];\nrx(1.5304) q[2];\nrz(0) q[2];\nrx(-0.005) q[3];\nrz(0.0025) q[3];\nrx(0.0031) q[4];\nrz(0.007) q[4];\nrx(1.7058) q[5];\nrz(0.008) q[5];\nrx(-0.0034) q[6];\nrz(0.0035) q[6];\nrx(1.702) q[7];\nrz(0) q[7];\nrx(1.6147) q[8];\nrz(0.0041) q[8];\nrx(1.7057) q[9];\nrz(0.008) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x5) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x11) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["7e799239f8573f120a2c5e15cda2e88f","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}]}","{\"states\": [7, 14], \"expectation_value\": -0.4022569573678999, \"params\": [[0.07540000000000001, 0.07970000000000001, 0.0792], [-0.0669, -0.0777, -0.079]], \"bitstrings\": [\"11000\", \"10001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.04753599247492415, 0.049670253226630996], \"optimization_time\": 2.1114304065704346}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4)",1,5,3,"{\"smallest_eigenvalues\": [-2.5, -2.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"10001\", \"11000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[2], q[0];\nrz(0.0754) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0754) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(0.0754) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(0.0754) q[4];\ncx q[1], q[4];\nrz(0) q[2];\nrz(-0.1508) q[0];\nrz(0) q[3];\nrz(-0.0754) q[1];\nrz(0) q[4];\nh q[0];\nrz(-0.1338) q[0];\nh q[0];\nh q[1];\nrz(-0.1338) q[1];\nh q[1];\nh q[2];\nrz(-0.1338) q[2];\nh q[2];\nh q[3];\nrz(-0.1338) q[3];\nh q[3];\nh q[4];\nrz(-0.1338) q[4];\nh q[4];\ncx q[2], q[0];\nrz(0.0797) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0797) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(0.0797) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(0.0797) q[4];\ncx q[1], q[4];\nrz(0) q[2];\nrz(-0.1594) q[0];\nrz(0) q[3];\nrz(-0.0797) q[1];\nrz(0) q[4];\nh q[0];\nrz(-0.1554) q[0];\nh q[0];\nh q[1];\nrz(-0.1554) q[1];\nh q[1];\nh q[2];\nrz(-0.1554) q[2];\nh q[2];\nh q[3];\nrz(-0.1554) q[3];\nh q[3];\nh q[4];\nrz(-0.1554) q[4];\nh q[4];\ncx q[2], q[0];\nrz(0.0792) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0792) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(0.0792) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(0.0792) q[4];\ncx q[1], q[4];\nrz(0) q[2];\nrz(-0.1584) q[0];\nrz(0) q[3];\nrz(-0.0792) q[1];\nrz(0) q[4];\nh q[0];\nrz(-0.158) q[0];\nh q[0];\nh q[1];\nrz(-0.158) q[1];\nh q[1];\nh q[2];\nrz(-0.158) q[2];\nh q[2];\nh q[3];\nrz(-0.158) q[3];\nh q[3];\nh q[4];\nrz(-0.158) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x1) q[3];\nrz(x3) q[1];\nrz(x1) q[4];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x5) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(x5) q[4];\ncx q[1], q[4];\nrz(x1) q[2];\nrz(x6) q[0];\nrz(x1) q[3];\nrz(x7) q[1];\nrz(x1) q[4];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x9) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\nrz(x1) q[2];\nrz(x10) q[0];\nrz(x1) q[3];\nrz(x11) q[1];\nrz(x1) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["d8d55f0562fdae43273e76fe4e1611ed","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 6}, {\"weight\": 13, \"source\": 0, \"target\": 7}, {\"weight\": 16, \"source\": 0, \"target\": 9}, {\"weight\": 2, \"source\": 1, \"target\": 7}, {\"weight\": 12, \"source\": 1, \"target\": 6}, {\"weight\": 4, \"source\": 2, \"target\": 8}, {\"weight\": 2, \"source\": 3, \"target\": 9}, {\"weight\": 12, \"source\": 3, \"target\": 6}, {\"weight\": 15, \"source\": 5, \"target\": 7}]}","{\"states\": [485, 229], \"expectation_value\": -73.96107675037051, \"params\": [0.4828, -0.28550000000000003, 1.067, 0.0035, 1.0676, 0.0006000000000000001, 1.0763, 0.2151, 0.26730000000000004, 0.4687, -0.0026000000000000003, 0.8239000000000001, 1.0711, 0.2485, 0.06570000000000001, 0.5498000000000001, 1.0851, -0.1053, 0.4778, -0.2919, 1.0743, 0.009000000000000001, 1.0656, 0.0007, 1.0688, 0.2523, 0.26330000000000003, 0.44920000000000004, -0.0023, 0.8179000000000001, 1.0686, 0.2797, 0.0694, 0.5626, 1.0778, -0.0882, 0.4792, 0.0067, 1.0634000000000001, 0.0009000000000000001, 1.0679, 0.0008, 1.0473000000000001, 0.0061, 0.2685, 0.0073, -0.0026000000000000003, 0.0014, 1.0611000000000002, 0.0006000000000000001, 0.0685, 0.0035, 1.059, 0.006, -0.24200000000000002, 0.21710000000000002, 0.0064, -0.0128, 0.48560000000000003, -0.459, -0.8031, 0.5121, -0.5411, -0.2882, -0.2716, -0.0001, 0.0183, 0.4592, -0.4393, -0.2218, 0.5533, 0.0351, 0.009000000000000001, 0.0058000000000000005, 0.004200000000000001, 0.007, 0.0036000000000000003, 0.0097, 0.008700000000000001, 0.0016, 0.0068000000000000005], \"bitstrings\": [\"000011010\", \"100011010\"], \"total_optimization_steps\": 110, \"probabilities\": [0.32658827058987894, 0.5764464350326496], \"optimization_time\": 41.46109437942505}","5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 13.5 * Z(2) + 17.5 * Z(1) + 15.0 * Z(0) + 11.5 * Z(3) + 6.5 * Z(4) + 1.0 * Z(7) + 11.5 * Z(6) + 7.5 * Z(8) + -9.0 * Z(5)",18,9,3,"{\"smallest_eigenvalues\": [-81.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -68.0, \"smallest_bitstrings\": [\"100011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.4828) q[0];\nrz(-0.2855) q[0];\nrx(1.067) q[1];\nrz(0.0035) q[1];\nrx(1.0676) q[2];\nrz(0.0006) q[2];\nrx(1.0763) q[3];\nrz(0.2151) q[3];\nrx(0.2673) q[4];\nrz(0.4687) q[4];\nrx(-0.0026) q[5];\nrz(0.8239) q[5];\nrx(1.0711) q[6];\nrz(0.2485) q[6];\nrx(0.0657) q[7];\nrz(0.5498) q[7];\nrx(1.0851) q[8];\nrz(-0.1053) q[8];\ncrz(-0.242) q[8], q[0];\ncrz(-0.5411) q[7], q[8];\ncrz(0.5121) q[6], q[7];\ncrz(-0.8031) q[5], q[6];\ncrz(-0.459) q[4], q[5];\ncrz(0.4856) q[3], q[4];\ncrz(-0.0128) q[2], q[3];\ncrz(0.0064) q[1], q[2];\ncrz(0.2171) q[0], q[1];\nrx(0.4778) q[0];\nrz(-0.2919) q[0];\nrx(1.0743) q[1];\nrz(0.009) q[1];\nrx(1.0656) q[2];\nrz(0.0007) q[2];\nrx(1.0688) q[3];\nrz(0.2523) q[3];\nrx(0.2633) q[4];\nrz(0.4492) q[4];\nrx(-0.0023) q[5];\nrz(0.8179) q[5];\nrx(1.0686) q[6];\nrz(0.2797) q[6];\nrx(0.0694) q[7];\nrz(0.5626) q[7];\nrx(1.0778) q[8];\nrz(-0.0882) q[8];\ncrz(-0.2882) q[8], q[0];\ncrz(0.0351) q[7], q[8];\ncrz(0.5533) q[6], q[7];\ncrz(-0.2218) q[5], q[6];\ncrz(-0.4393) q[4], q[5];\ncrz(0.4592) q[3], q[4];\ncrz(0.0183) q[2], q[3];\ncrz(-0.0001) q[1], q[2];\ncrz(-0.2716) q[0], q[1];\nrx(0.4792) q[0];\nrz(0.0067) q[0];\nrx(1.0634) q[1];\nrz(0.0009) q[1];\nrx(1.0679) q[2];\nrz(0.0008) q[2];\nrx(1.0473) q[3];\nrz(0.0061) q[3];\nrx(0.2685) q[4];\nrz(0.0073) q[4];\nrx(-0.0026) q[5];\nrz(0.0014) q[5];\nrx(1.0611) q[6];\nrz(0.0006) q[6];\nrx(0.0685) q[7];\nrz(0.0035) q[7];\nrx(1.059) q[8];\nrz(0.006) q[8];\ncrz(0.009) q[8], q[0];\ncrz(0.0068) q[7], q[8];\ncrz(0.0016) q[6], q[7];\ncrz(0.0087) q[5], q[6];\ncrz(0.0097) q[4], q[5];\ncrz(0.0036) q[3], q[4];\ncrz(0.007) q[2], q[3];\ncrz(0.0042) q[1], q[2];\ncrz(0.0058) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\ncrz(x45) q[8], q[0];\ncrz(x46) q[7], q[8];\ncrz(x47) q[6], q[7];\ncrz(x48) q[5], q[6];\ncrz(x49) q[4], q[5];\ncrz(x50) q[3], q[4];\ncrz(x51) q[2], q[3];\ncrz(x52) q[1], q[2];\ncrz(x53) q[0], q[1];\nrx(x54) q[0];\nrz(x55) q[0];\nrx(x56) q[1];\nrz(x57) q[1];\nrx(x58) q[2];\nrz(x59) q[2];\nrx(x60) q[3];\nrz(x61) q[3];\nrx(x62) q[4];\nrz(x63) q[4];\nrx(x10) q[5];\nrz(x64) q[5];\nrx(x65) q[6];\nrz(x5) q[6];\nrx(x66) q[7];\nrz(x3) q[7];\nrx(x67) q[8];\nrz(x68) q[8];\ncrz(x30) q[8], q[0];\ncrz(x69) q[7], q[8];\ncrz(x70) q[6], q[7];\ncrz(x71) q[5], q[6];\ncrz(x72) q[4], q[5];\ncrz(x73) q[3], q[4];\ncrz(x74) q[2], q[3];\ncrz(x75) q[1], q[2];\ncrz(x76) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9]}\"}","{\"circuits\": [], \"gradients\": []}"]
["2c69f66e23c234e31f1d5ec8aa443338","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 5, \"target\": 6}]}","{\"states\": [63, 62], \"expectation_value\": -6.008987836679473, \"params\": [[[-0.11800000000000001, 3.1621], [0.0028, -0.0117], [0.0025, -0.0029000000000000002], [0.0024000000000000002, 0.0025], [1.6114000000000002, -0.005200000000000001], [-0.0018000000000000002, 0.0012000000000000001]]], \"bitstrings\": [\"000000\", \"000001\"], \"total_optimization_steps\": 320, \"probabilities\": [0.47795337251597225, 0.5184203561927313], \"optimization_time\": 5.65243124961853}","-1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5)",15,6,1,"{\"smallest_eigenvalues\": [-6.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nry(-0.118) q[0];\nry(0.0028) q[1];\nry(0.0025) q[2];\nry(0.0024) q[3];\nry(1.6114) q[4];\nry(-0.0018) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(3.1621) q[0];\nry(-0.0117) q[1];\nry(-0.0029) q[2];\nry(0.0025) q[3];\nry(-0.0052) q[4];\nry(0.0012) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x6) q[0];\nry(x7) q[1];\nry(x8) q[2];\nry(x2) q[3];\nry(x9) q[4];\nry(x10) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"node\": 5}","{\"circuits\": [], \"gradients\": []}"]
["bbe36c72142a04c8b1698fed3f77c25c","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}]}","{\"states\": [20, 17], \"expectation_value\": -6.904566714857111, \"params\": null, \"bitstrings\": [\"01011\", \"01110\"], \"total_optimization_steps\": 28, \"probabilities\": [0.13248903201254356, 0.656043561363698], \"optimization_time\": 22.3331196308136}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4)",9,5,3,"{\"smallest_eigenvalues\": [-7.25, -7.25, -7.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -6.25, \"smallest_bitstrings\": [\"11100\", \"01110\", \"01101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[1];\ncry(-1.5708) q[4], q[2];\ncry(-1.566) q[0], q[3];\nry(0.9826) q[0];\nry(0.5852) q[4];\nry(-0.4354) q[3];\nry(-0.2545) q[2];\ncry(0.4118) q[0], q[4];\ncry(-0.2536) q[0], q[2];\ncry(0.1883) q[4], q[0];\ncry(-0.1426) q[4], q[3];\ncry(0.2197) q[2], q[0];\ncry(0.2479) q[3], q[4];\ncry(-0.1455) q[3], q[0];\ncry(-0.1335) q[2], q[4];\ncry(-0.0835) q[3], q[2];\ncry(-0.0463) q[2], q[3];\ncry(0.0001) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"k\": 3}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\ncry(0.0001) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\ncry(0.0001) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5709) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[0], q[3];\\nry(0.9826) q[0];\\nry(0.5852) q[4];\\nry(-0.4354) q[3];\\nry(-0.2545) q[2];\\ncry(0.4118) q[0], q[4];\\ncry(-0.2536) q[0], q[2];\\ncry(0.1883) q[4], q[0];\\ncry(-0.1426) q[4], q[3];\\ncry(0.2197) q[2], q[0];\\ncry(0.2479) q[3], q[4];\\ncry(-0.1455) q[3], q[0];\\ncry(-0.1335) q[2], q[4];\\ncry(-0.0835) q[3], q[2];\\ncry(-0.0463) q[2], q[3];\\ncry(0.0001) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [3.0262, 1.5099, 0.9429, 1.4934, 0.5737, 0.966, 0.5199, 0.3661, 0.4922, 0.1777, 0.2958, 0.0759, 0.0724, 0.0681, 0.061, 0.035, 0.0201, 0.0108, 0.0103, 0.0084, 0.0079, 0.0075, 0.0053, 0.005, 0.0047, 0.0044, 0.0032, 0.003]}"]
["eaf152c9366c1fc70b9994ec462b6b4c","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}]}","{\"states\": [35, 7], \"expectation_value\": -0.9203526437415671, \"params\": [[0.053200000000000004, 0.0608, 0.0702, 0.0639], [-0.029500000000000002, -0.0476, -0.0545, -0.048400000000000006]], \"bitstrings\": [\"011100\", \"111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.025962394574249075, 0.027029890376329184], \"optimization_time\": 5.092303991317749}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"111000\", \"011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.0532) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(0.0532) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(0.0532) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(0.0532) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0532) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(0.0532) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(0.0532) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(0.0532) q[5];\ncx q[1], q[5];\nrz(-0.1596) q[2];\nrz(-0.0532) q[0];\nrz(-0.1064) q[3];\nrz(-0.1596) q[1];\nrz(0) q[4];\nrz(-0.0532) q[5];\nh q[0];\nrz(-0.059) q[0];\nh q[0];\nh q[1];\nrz(-0.059) q[1];\nh q[1];\nh q[2];\nrz(-0.059) q[2];\nh q[2];\nh q[3];\nrz(-0.059) q[3];\nh q[3];\nh q[4];\nrz(-0.059) q[4];\nh q[4];\nh q[5];\nrz(-0.059) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0608) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(0.0608) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(0.0608) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(0.0608) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0608) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(0.0608) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(0.0608) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(0.0608) q[5];\ncx q[1], q[5];\nrz(-0.1824) q[2];\nrz(-0.0608) q[0];\nrz(-0.1216) q[3];\nrz(-0.1824) q[1];\nrz(0) q[4];\nrz(-0.0608) q[5];\nh q[0];\nrz(-0.0952) q[0];\nh q[0];\nh q[1];\nrz(-0.0952) q[1];\nh q[1];\nh q[2];\nrz(-0.0952) q[2];\nh q[2];\nh q[3];\nrz(-0.0952) q[3];\nh q[3];\nh q[4];\nrz(-0.0952) q[4];\nh q[4];\nh q[5];\nrz(-0.0952) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0702) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(0.0702) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(0.0702) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(0.0702) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0702) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(0.0702) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(0.0702) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(0.0702) q[5];\ncx q[1], q[5];\nrz(-0.2106) q[2];\nrz(-0.0702) q[0];\nrz(-0.1404) q[3];\nrz(-0.2106) q[1];\nrz(0) q[4];\nrz(-0.0702) q[5];\nh q[0];\nrz(-0.109) q[0];\nh q[0];\nh q[1];\nrz(-0.109) q[1];\nh q[1];\nh q[2];\nrz(-0.109) q[2];\nh q[2];\nh q[3];\nrz(-0.109) q[3];\nh q[3];\nh q[4];\nrz(-0.109) q[4];\nh q[4];\nh q[5];\nrz(-0.109) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0639) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(0.0639) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(0.0639) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(0.0639) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0639) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(0.0639) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(0.0639) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(0.0639) q[5];\ncx q[1], q[5];\nrz(-0.1917) q[2];\nrz(-0.0639) q[0];\nrz(-0.1278) q[3];\nrz(-0.1917) q[1];\nrz(0) q[4];\nrz(-0.0639) q[5];\nh q[0];\nrz(-0.0968) q[0];\nh q[0];\nh q[1];\nrz(-0.0968) q[1];\nh q[1];\nh q[2];\nrz(-0.0968) q[2];\nh q[2];\nh q[3];\nrz(-0.0968) q[3];\nh q[3];\nh q[4];\nrz(-0.0968) q[4];\nh q[4];\nh q[5];\nrz(-0.0968) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x1) q[1];\nrz(x4) q[4];\nrz(x2) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x6) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(x6) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x6) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\nrz(x7) q[2];\nrz(x8) q[0];\nrz(x9) q[3];\nrz(x7) q[1];\nrz(x4) q[4];\nrz(x8) q[5];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x11) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x11) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(x11) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\nrz(x12) q[2];\nrz(x13) q[0];\nrz(x14) q[3];\nrz(x12) q[1];\nrz(x4) q[4];\nrz(x13) q[5];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x16) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x16) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x16) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(x16) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x16) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(x16) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x16) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\nrz(x17) q[2];\nrz(x18) q[0];\nrz(x19) q[3];\nrz(x17) q[1];\nrz(x4) q[4];\nrz(x18) q[5];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["087038e9edc1ea672825729ff4eba005","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 6}]}","{\"states\": [32574, 32575], \"expectation_value\": -1.2068600609417597, \"params\": [1.6049, 0.009000000000000001, 1.6101, 0.0089, 1.6092000000000002, 0.0045000000000000005, 1.6127, 0.0012000000000000001, 1.6106, 0.0041, 1.609, 0.0025, 1.6034000000000002, 0.0097, 0.0023, 0.0066, 0.0023, 0.0023, 1.6061, 0.006200000000000001, 1.6073000000000002, 0.0047, 1.609, 0.0029000000000000002, 1.6041, 0.007500000000000001, 1.6112000000000002, 0.001, 1.599, 0.0035, 0.0055000000000000005, 0.00030000000000000003, 0.0097, 0.0032, 0.0022, 0.0014, 0.001, 0.0098, 0.0026000000000000003, 0.0054, 0.0045000000000000005, 0.001, 0.0035, 0.0047, 0.008400000000000001], \"bitstrings\": [\"000000011000001\", \"000000011000000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.0001841588766749736, 0.00019484318551168687], \"optimization_time\": 52.95891785621643}","0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0.45454545454545453 * (Z(2) @ Z(0)) + 0.9090909090909091 * (Z(2) @ Z(1)) + 0.5 * (Z(13) @ Z(11)) + 0.5 * (Z(13) @ Z(12)) + 1.0 * (Z(14) @ Z(11)) + 1.0 * (Z(14) @ Z(12)) + 1.0 * (Z(14) @ Z(13)) + 0.9090909090909091 * (Z(3) @ Z(4)) + 0.45454545454545453 * (Z(5) @ Z(6)) + -0.045454545454545456 * (Z(7) @ Z(8)) + 4.5 * Z(11) + 1.0 * Z(9) + 4.5 * Z(12) + 1.0 * Z(10) + 0.8181818181818181 * Z(0) + 1.6363636363636362 * Z(1) + 0.8181818181818181 * Z(2) + 2.5 * Z(13) + 5.0 * Z(14) + 2.727272727272727 * Z(4) + 1.3636363636363635 * Z(3) + 0.9090909090909091 * Z(6) + 0.9090909090909091 * Z(5) + -0.09090909090909091 * Z(8) + -0.09090909090909091 * Z(7)",18,15,1,"{\"smallest_eigenvalues\": [-20.27272727272695], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.999999999999854, \"smallest_bitstrings\": [\"000000011000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nrx(1.6049) q[0];\nrz(0.009) q[0];\nrx(1.6101) q[1];\nrz(0.0089) q[1];\nrx(1.6092) q[2];\nrz(0.0045) q[2];\nrx(1.6127) q[3];\nrz(0.0012) q[3];\nrx(1.6106) q[4];\nrz(0.0041) q[4];\nrx(1.609) q[5];\nrz(0.0025) q[5];\nrx(1.6034) q[6];\nrz(0.0097) q[6];\nrx(0.0023) q[7];\nrz(0.0066) q[7];\nrx(0.0023) q[8];\nrz(0.0023) q[8];\nrx(1.6061) q[9];\nrz(0.0062) q[9];\nrx(1.6073) q[10];\nrz(0.0047) q[10];\nrx(1.609) q[11];\nrz(0.0029) q[11];\nrx(1.6041) q[12];\nrz(0.0075) q[12];\nrx(1.6112) q[13];\nrz(0.001) q[13];\nrx(1.599) q[14];\nrz(0.0035) q[14];\ncrz(0.0055) q[14], q[0];\ncrz(0.0084) q[13], q[14];\ncrz(0.0047) q[12], q[13];\ncrz(0.0035) q[11], q[12];\ncrz(0.001) q[10], q[11];\ncrz(0.0045) q[9], q[10];\ncrz(0.0054) q[8], q[9];\ncrz(0.0026) q[7], q[8];\ncrz(0.0098) q[6], q[7];\ncrz(0.001) q[5], q[6];\ncrz(0.0014) q[4], q[5];\ncrz(0.0022) q[3], q[4];\ncrz(0.0032) q[2], q[3];\ncrz(0.0097) q[1], q[2];\ncrz(0.0003) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[15] c;\nqubit[15] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x14) q[8];\nrz(x14) q[8];\nrx(x16) q[9];\nrz(x17) q[9];\nrx(x18) q[10];\nrz(x19) q[10];\nrx(x10) q[11];\nrz(x20) q[11];\nrx(x21) q[12];\nrz(x22) q[12];\nrx(x23) q[13];\nrz(x24) q[13];\nrx(x25) q[14];\nrz(x26) q[14];\ncrz(x27) q[14], q[0];\ncrz(x28) q[13], q[14];\ncrz(x19) q[12], q[13];\ncrz(x26) q[11], q[12];\ncrz(x24) q[10], q[11];\ncrz(x5) q[9], q[10];\ncrz(x29) q[8], q[9];\ncrz(x30) q[7], q[8];\ncrz(x31) q[6], q[7];\ncrz(x24) q[5], q[6];\ncrz(x32) q[4], q[5];\ncrz(x33) q[3], q[4];\ncrz(x34) q[2], q[3];\ncrz(x13) q[1], q[2];\ncrz(x35) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["9b8c0ccb32d0f88d964f624767035a96","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 3, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 3}]}","{\"states\": [1, 9], \"expectation_value\": -1.0562297203965472, \"params\": [[-0.0655, -0.0245], [0.0785, 0.053200000000000004]], \"bitstrings\": [\"11111110\", \"11110110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.007058458036410223, 0.007346381230629431], \"optimization_time\": 2.7855355739593506}","-0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) + 0.25 * Z(5) + 1.5 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-11.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -10.5, \"smallest_bitstrings\": [\"11110110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.0983) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(0.0655) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(0.0983) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(0.1638) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(0.0328) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(0.0983) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(0.0328) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.1965) q[5];\ncx q[3], q[5];\ncx q[0], q[7];\nrz(-0.2948) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(0.0983) q[7];\ncx q[4], q[7];\nrz(0.131) q[1];\nrz(0.0328) q[0];\nrz(-0.0655) q[4];\nrz(0.0983) q[6];\nrz(-0.0983) q[2];\nrz(0.131) q[3];\nrz(-0.0328) q[5];\nrz(-0.1965) q[7];\nh q[0];\nrz(0.157) q[0];\nh q[0];\nh q[1];\nrz(0.157) q[1];\nh q[1];\nh q[2];\nrz(0.157) q[2];\nh q[2];\nh q[3];\nrz(0.157) q[3];\nh q[3];\nh q[4];\nrz(0.157) q[4];\nh q[4];\nh q[5];\nrz(0.157) q[5];\nh q[5];\nh q[6];\nrz(0.157) q[6];\nh q[6];\nh q[7];\nrz(0.157) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0368) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(0.0245) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(0.0368) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(0.0612) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(0.0123) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(0.0368) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(0.0123) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0735) q[5];\ncx q[3], q[5];\ncx q[0], q[7];\nrz(-0.1103) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(0.0368) q[7];\ncx q[4], q[7];\nrz(0.049) q[1];\nrz(0.0123) q[0];\nrz(-0.0245) q[4];\nrz(0.0368) q[6];\nrz(-0.0368) q[2];\nrz(0.049) q[3];\nrz(-0.0123) q[5];\nrz(-0.0735) q[7];\nh q[0];\nrz(0.1064) q[0];\nh q[0];\nh q[1];\nrz(0.1064) q[1];\nh q[1];\nh q[2];\nrz(0.1064) q[2];\nh q[2];\nh q[3];\nrz(0.1064) q[3];\nh q[3];\nh q[4];\nrz(0.1064) q[4];\nh q[4];\nh q[5];\nrz(0.1064) q[5];\nh q[5];\nh q[6];\nrz(0.1064) q[6];\nh q[6];\nh q[7];\nrz(0.1064) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(x2) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(x3) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\ncx q[0], q[7];\nrz(x5) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\nrz(x6) q[1];\nrz(x3) q[0];\nrz(x7) q[4];\nrz(x0) q[6];\nrz(x8) q[2];\nrz(x6) q[3];\nrz(x9) q[5];\nrz(x10) q[7];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x13) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(x12) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(x14) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(x15) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x12) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x15) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x16) q[5];\ncx q[3], q[5];\ncx q[0], q[7];\nrz(x17) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(x12) q[7];\ncx q[4], q[7];\nrz(x18) q[1];\nrz(x15) q[0];\nrz(x19) q[4];\nrz(x12) q[6];\nrz(x20) q[2];\nrz(x18) q[3];\nrz(x21) q[5];\nrz(x22) q[7];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["cf63e2458a0741acd2ef8c128602eb3a","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [1786, 1770], \"expectation_value\": -2.5255973546105204, \"params\": [0.30010000000000003, -0.0089, 0.29860000000000003, -0.009000000000000001, 0.3, 0.004200000000000001, 0.3048, 0.004, 0.1029, 0.0966, 0.10260000000000001, 0.1017, 0.3009, 0.010700000000000001, 0.303, 0.010100000000000001, 0.2987, -0.0013000000000000002, 0.30160000000000003, -0.0012000000000000001, 0.3013, 0.009600000000000001, 0.30210000000000004, 0.0094, 0.1095, 0.1014, 0.11130000000000001, 0.1015, 0.2977, 0.0031000000000000003, 0.302, 0.0017000000000000001, 0.0006000000000000001, 0.2272, -0.0007, 0.23520000000000002, 0.30310000000000004, -0.0014, 0.302, -0.006900000000000001, 0.0886, 0.1066, 0.0886, 0.10940000000000001, 0.3032, -0.0071, 0.3042, -0.0098, 0.2994, 0.0187, 0.2975, 0.01, 0.0975, 0.0959, 0.1023, 0.098, 0.3, 0.0131, 0.3024, 0.0119, 0.2982, -0.0017000000000000001, 0.2995, -0.00030000000000000003, 0.3038, 0.009000000000000001, 0.3013, 0.0098, 0.1111, 0.1012, 0.10640000000000001, 0.1012, 0.29610000000000003, 0.0022, 0.3044, 0.0018000000000000002, -0.0012000000000000001, 0.23800000000000002, -0.002, 0.2393, 0.2967, -0.0, 0.3, -0.00030000000000000003, 0.083, 0.1075, 0.08700000000000001, 0.1078, 0.2988, -0.010700000000000001, 0.29560000000000003, -0.0126, 0.2962, 0.0105, 0.3002, 0.0049, 0.1009, 0.09480000000000001, 0.0974, 0.0975, 0.3023, 0.0158, 0.3044, 0.0145, 0.29510000000000003, -0.0026000000000000003, 0.2995, -0.0017000000000000001, 0.2992, 0.009000000000000001, 0.304, 0.0091, 0.1019, 0.099, 0.10650000000000001, 0.10020000000000001, 0.3033, 0.003, 0.29600000000000004, 0.0027, 0.0005, 0.23440000000000003, -0.0021000000000000003, 0.24180000000000001, 0.3064, 0.009000000000000001, 0.30560000000000004, 0.008, 0.08370000000000001, 0.108, 0.08710000000000001, 0.1078, 0.3005, -0.0146, 0.29600000000000004, 0.0047, 0.29910000000000003, 0.0006000000000000001, 0.29910000000000003, 0.0082, 0.0964, 0.0945, 0.0969, 0.0026000000000000003, 0.29600000000000004, 0.019700000000000002, 0.2962, 0.0035, 0.3015, -0.0025, 0.2949, 0.0024000000000000002, 0.3028, 0.0079, 0.3038, 0.0074, 0.1072, 0.099, 0.11120000000000001, 0.005200000000000001, 0.29860000000000003, 0.006, 0.303, 0.0047, -0.0012000000000000001, 0.22890000000000002, 0.0014, 0.0068000000000000005, 0.3044, 0.0077, 0.3019, 0.006900000000000001, 0.0883, 0.10790000000000001, 0.08370000000000001, 0.006200000000000001, 0.0359, -0.005, 0.0028, 0.002, -0.0022, 0.08940000000000001, 0.0016, -0.221, 0.011300000000000001, -0.1048, 0.0017000000000000001, 0.062400000000000004, 0.1027, 0.0456, 0.006900000000000001, 0.0019, 0.0864, 0.0043, -0.2212, 0.0089, 0.0461, 0.0048000000000000004, 0.0402, 0.0995, 0.0684, 0.0085, 0.0086, 0.0745, 0.0128, -0.1935, 0.0123, 0.08360000000000001, 0.008, 0.012, 0.008400000000000001, 0.0874, 0.0038, 0.0129, 0.0021000000000000003, 0.0298, 0.0037, 0.0032, 0.0012000000000000001, 0.0085], \"bitstrings\": [\"00100000101\", \"00100010101\"], \"total_optimization_steps\": 30, \"probabilities\": [0.04771462074046121, 0.241775974433043], \"optimization_time\": 31.63144826889038}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(5)) + -0.0625 * (Z(0) @ Z(6) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(6) @ Z(4)) + -0.0625 * (Z(0) @ Z(6) @ Z(5)) + -0.0625 * (Z(3) @ Z(4) @ Z(5)) + -0.0625 * (Z(6) @ Z(3) @ Z(4)) + -0.0625 * (Z(6) @ Z(3) @ Z(5)) + -0.0625 * (Z(6) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(3) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(6) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(6) @ Z(3) @ Z(5)) + 0.0625 * (Z(0) @ Z(6) @ Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(3) @ Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(3) @ Z(5) @ Z(6) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(3) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(1) @ Z(3) @ Z(7)) + -0.125 * (Z(1) @ Z(3) @ Z(8)) + -0.125 * (Z(1) @ Z(8) @ Z(7)) + -0.125 * (Z(7) @ Z(3) @ Z(8)) + 0.125 * (Z(1) @ Z(3) @ Z(8) @ Z(7)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(9)) + 0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(2) @ Z(4) @ Z(9)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(7) @ Z(9)) + 0.125 * (Z(7) @ Z(10)) + 0.125 * (Z(10) @ Z(9)) + -0.125 * (Z(7) @ Z(9) @ Z(5)) + -0.125 * (Z(7) @ Z(10) @ Z(5)) + -0.125 * (Z(10) @ Z(9) @ Z(5)) + -0.125 * (Z(7) @ Z(10) @ Z(9)) + 0.125 * (Z(7) @ Z(10) @ Z(9) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 0.1875 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + 0.3125 * Z(3) + 0.1875 * Z(4) + 0.3125 * Z(5) + -0.0625 * Z(6) + 0.25 * Z(7) + -0.625 * Z(8) + 0.125 * Z(9) + -0.125 * Z(10)",7,11,4,"{\"smallest_eigenvalues\": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], \"number_of_smallest_eigenvalues\": 13, \"first_excited_energy\": -2.8125, \"smallest_bitstrings\": [\"00101000101\", \"00100011100\", \"00100010110\", \"00100010101\", \"01000010110\", \"01001000101\", \"00110000101\", \"10000010110\", \"10000000111\", \"10100000101\", \"10001000101\", \"00100110100\", \"00100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.3001) q[0];\nrz(-0.0089) q[0];\nrx(0.3) q[1];\nrz(0.0042) q[1];\nrx(0.1029) q[2];\nrz(0.0966) q[2];\nrx(0.3009) q[3];\nrz(0.0107) q[3];\nrx(0.2987) q[4];\nrz(-0.0013) q[4];\nrx(0.3013) q[5];\nrz(0.0096) q[5];\nrx(0.1095) q[6];\nrz(0.1014) q[6];\nrx(0.2977) q[7];\nrz(0.0031) q[7];\nrx(0.0006) q[8];\nrz(0.2272) q[8];\nrx(0.3031) q[9];\nrz(-0.0014) q[9];\nrx(0.0886) q[10];\nrz(0.1066) q[10];\ncrz(0.0359) q[1], q[0];\ncrz(0.0028) q[3], q[2];\ncrz(-0.0022) q[5], q[4];\ncrz(0.0016) q[7], q[6];\ncrz(0.0113) q[9], q[8];\nrx(0.2986) q[0];\nrz(-0.009) q[0];\nrx(0.3048) q[1];\nrz(0.004) q[1];\nrx(0.1026) q[2];\nrz(0.1017) q[2];\nrx(0.303) q[3];\nrz(0.0101) q[3];\nrx(0.3016) q[4];\nrz(-0.0012) q[4];\nrx(0.3021) q[5];\nrz(0.0094) q[5];\nrx(0.1113) q[6];\nrz(0.1015) q[6];\nrx(0.302) q[7];\nrz(0.0017) q[7];\nrx(-0.0007) q[8];\nrz(0.2352) q[8];\nrx(0.302) q[9];\nrz(-0.0069) q[9];\nrx(0.0886) q[10];\nrz(0.1094) q[10];\ncrz(-0.005) q[2], q[1];\ncrz(0.002) q[4], q[3];\ncrz(0.0894) q[6], q[5];\ncrz(-0.221) q[8], q[7];\ncrz(-0.1048) q[10], q[9];\nrx(0.3032) q[0];\nrz(-0.0071) q[0];\nrx(0.2994) q[1];\nrz(0.0187) q[1];\nrx(0.0975) q[2];\nrz(0.0959) q[2];\nrx(0.3) q[3];\nrz(0.0131) q[3];\nrx(0.2982) q[4];\nrz(-0.0017) q[4];\nrx(0.3038) q[5];\nrz(0.009) q[5];\nrx(0.1111) q[6];\nrz(0.1012) q[6];\nrx(0.2961) q[7];\nrz(0.0022) q[7];\nrx(-0.0012) q[8];\nrz(0.238) q[8];\nrx(0.2967) q[9];\nrz(0) q[9];\nrx(0.083) q[10];\nrz(0.1075) q[10];\ncrz(0.0624) q[1], q[0];\ncrz(0.0456) q[3], q[2];\ncrz(0.0019) q[5], q[4];\ncrz(0.0043) q[7], q[6];\ncrz(0.0089) q[9], q[8];\nrx(0.3042) q[0];\nrz(-0.0098) q[0];\nrx(0.2975) q[1];\nrz(0.01) q[1];\nrx(0.1023) q[2];\nrz(0.098) q[2];\nrx(0.3024) q[3];\nrz(0.0119) q[3];\nrx(0.2995) q[4];\nrz(-0.0003) q[4];\nrx(0.3013) q[5];\nrz(0.0098) q[5];\nrx(0.1064) q[6];\nrz(0.1012) q[6];\nrx(0.3044) q[7];\nrz(0.0018) q[7];\nrx(-0.002) q[8];\nrz(0.2393) q[8];\nrx(0.3) q[9];\nrz(-0.0003) q[9];\nrx(0.087) q[10];\nrz(0.1078) q[10];\ncrz(0.1027) q[2], q[1];\ncrz(0.0069) q[4], q[3];\ncrz(0.0864) q[6], q[5];\ncrz(-0.2212) q[8], q[7];\ncrz(0.0461) q[10], q[9];\nrx(0.2988) q[0];\nrz(-0.0107) q[0];\nrx(0.2962) q[1];\nrz(0.0105) q[1];\nrx(0.1009) q[2];\nrz(0.0948) q[2];\nrx(0.3023) q[3];\nrz(0.0158) q[3];\nrx(0.2951) q[4];\nrz(-0.0026) q[4];\nrx(0.2992) q[5];\nrz(0.009) q[5];\nrx(0.1019) q[6];\nrz(0.099) q[6];\nrx(0.3033) q[7];\nrz(0.003) q[7];\nrx(0.0005) q[8];\nrz(0.2344) q[8];\nrx(0.3064) q[9];\nrz(0.009) q[9];\nrx(0.0837) q[10];\nrz(0.108) q[10];\ncrz(0.0402) q[1], q[0];\ncrz(0.0684) q[3], q[2];\ncrz(0.0086) q[5], q[4];\ncrz(0.0128) q[7], q[6];\ncrz(0.0123) q[9], q[8];\nrx(0.2956) q[0];\nrz(-0.0126) q[0];\nrx(0.3002) q[1];\nrz(0.0049) q[1];\nrx(0.0974) q[2];\nrz(0.0975) q[2];\nrx(0.3044) q[3];\nrz(0.0145) q[3];\nrx(0.2995) q[4];\nrz(-0.0017) q[4];\nrx(0.304) q[5];\nrz(0.0091) q[5];\nrx(0.1065) q[6];\nrz(0.1002) q[6];\nrx(0.296) q[7];\nrz(0.0027) q[7];\nrx(-0.0021) q[8];\nrz(0.2418) q[8];\nrx(0.3056) q[9];\nrz(0.008) q[9];\nrx(0.0871) q[10];\nrz(0.1078) q[10];\ncrz(0.0995) q[2], q[1];\ncrz(0.0085) q[4], q[3];\ncrz(0.0745) q[6], q[5];\ncrz(-0.1935) q[8], q[7];\ncrz(0.0836) q[10], q[9];\nrx(0.3005) q[0];\nrz(-0.0146) q[0];\nrx(0.2991) q[1];\nrz(0.0006) q[1];\nrx(0.0964) q[2];\nrz(0.0945) q[2];\nrx(0.296) q[3];\nrz(0.0197) q[3];\nrx(0.3015) q[4];\nrz(-0.0025) q[4];\nrx(0.3028) q[5];\nrz(0.0079) q[5];\nrx(0.1072) q[6];\nrz(0.099) q[6];\nrx(0.2986) q[7];\nrz(0.006) q[7];\nrx(-0.0012) q[8];\nrz(0.2289) q[8];\nrx(0.3044) q[9];\nrz(0.0077) q[9];\nrx(0.0883) q[10];\nrz(0.1079) q[10];\ncrz(0.012) q[1], q[0];\ncrz(0.0874) q[3], q[2];\ncrz(0.0129) q[5], q[4];\ncrz(0.0298) q[7], q[6];\ncrz(0.0032) q[9], q[8];\nrx(0.296) q[0];\nrz(0.0047) q[0];\nrx(0.2991) q[1];\nrz(0.0082) q[1];\nrx(0.0969) q[2];\nrz(0.0026) q[2];\nrx(0.2962) q[3];\nrz(0.0035) q[3];\nrx(0.2949) q[4];\nrz(0.0024) q[4];\nrx(0.3038) q[5];\nrz(0.0074) q[5];\nrx(0.1112) q[6];\nrz(0.0052) q[6];\nrx(0.303) q[7];\nrz(0.0047) q[7];\nrx(0.0014) q[8];\nrz(0.0068) q[8];\nrx(0.3019) q[9];\nrz(0.0069) q[9];\nrx(0.0837) q[10];\nrz(0.0062) q[10];\ncrz(0.0084) q[2], q[1];\ncrz(0.0038) q[4], q[3];\ncrz(0.0021) q[6], q[5];\ncrz(0.0037) q[8], q[7];\ncrz(0.0012) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x179;\ninput float[64] x18;\ninput float[64] x180;\ninput float[64] x181;\ninput float[64] x182;\ninput float[64] x183;\ninput float[64] x184;\ninput float[64] x185;\ninput float[64] x186;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrz(x22) q[1], q[0];\ncrz(x23) q[3], q[2];\ncrz(x24) q[5], q[4];\ncrz(x25) q[7], q[6];\ncrz(x26) q[9], q[8];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x41) q[9];\nrz(x45) q[9];\nrx(x20) q[10];\nrz(x46) q[10];\ncrz(x47) q[2], q[1];\ncrz(x48) q[4], q[3];\ncrz(x49) q[6], q[5];\ncrz(x50) q[8], q[7];\ncrz(x51) q[10], q[9];\nrx(x52) q[0];\nrz(x53) q[0];\nrx(x54) q[1];\nrz(x55) q[1];\nrx(x56) q[2];\nrz(x57) q[2];\nrx(x2) q[3];\nrz(x58) q[3];\nrx(x59) q[4];\nrz(x60) q[4];\nrx(x61) q[5];\nrz(x62) q[5];\nrx(x63) q[6];\nrz(x64) q[6];\nrx(x65) q[7];\nrz(x66) q[7];\nrx(x36) q[8];\nrz(x67) q[8];\nrx(x68) q[9];\nrz(x69) q[9];\nrx(x70) q[10];\nrz(x71) q[10];\ncrz(x72) q[1], q[0];\ncrz(x73) q[3], q[2];\ncrz(x74) q[5], q[4];\ncrz(x75) q[7], q[6];\ncrz(x76) q[9], q[8];\nrx(x77) q[0];\nrz(x78) q[0];\nrx(x79) q[1];\nrz(x80) q[1];\nrx(x81) q[2];\nrz(x82) q[2];\nrx(x83) q[3];\nrz(x84) q[3];\nrx(x85) q[4];\nrz(x86) q[4];\nrx(x10) q[5];\nrz(x87) q[5];\nrx(x88) q[6];\nrz(x64) q[6];\nrx(x89) q[7];\nrz(x90) q[7];\nrx(x91) q[8];\nrz(x92) q[8];\nrx(x2) q[9];\nrz(x86) q[9];\nrx(x93) q[10];\nrz(x94) q[10];\ncrz(x95) q[2], q[1];\ncrz(x96) q[4], q[3];\ncrz(x97) q[6], q[5];\ncrz(x98) q[8], q[7];\ncrz(x99) q[10], q[9];\nrx(x100) q[0];\nrz(x101) q[0];\nrx(x102) q[1];\nrz(x103) q[1];\nrx(x104) q[2];\nrz(x105) q[2];\nrx(x106) q[3];\nrz(x107) q[3];\nrx(x108) q[4];\nrz(x109) q[4];\nrx(x110) q[5];\nrz(x62) q[5];\nrx(x111) q[6];\nrz(x112) q[6];\nrx(x113) q[7];\nrz(x114) q[7];\nrx(x115) q[8];\nrz(x116) q[8];\nrx(x117) q[9];\nrz(x62) q[9];\nrx(x118) q[10];\nrz(x119) q[10];\ncrz(x120) q[1], q[0];\ncrz(x121) q[3], q[2];\ncrz(x122) q[5], q[4];\ncrz(x123) q[7], q[6];\ncrz(x124) q[9], q[8];\nrx(x125) q[0];\nrz(x126) q[0];\nrx(x127) q[1];\nrz(x128) q[1];\nrx(x129) q[2];\nrz(x56) q[2];\nrx(x89) q[3];\nrz(x130) q[3];\nrx(x85) q[4];\nrz(x60) q[4];\nrx(x131) q[5];\nrz(x132) q[5];\nrx(x133) q[6];\nrz(x134) q[6];\nrx(x135) q[7];\nrz(x136) q[7];\nrx(x137) q[8];\nrz(x138) q[8];\nrx(x139) q[9];\nrz(x140) q[9];\nrx(x141) q[10];\nrz(x94) q[10];\ncrz(x142) q[2], q[1];\ncrz(x143) q[4], q[3];\ncrz(x144) q[6], q[5];\ncrz(x145) q[8], q[7];\ncrz(x146) q[10], q[9];\nrx(x147) q[0];\nrz(x148) q[0];\nrx(x149) q[1];\nrz(x16) q[1];\nrx(x150) q[2];\nrz(x151) q[2];\nrx(x135) q[3];\nrz(x152) q[3];\nrx(x153) q[4];\nrz(x154) q[4];\nrx(x155) q[5];\nrz(x156) q[5];\nrx(x157) q[6];\nrz(x112) q[6];\nrx(x27) q[7];\nrz(x158) q[7];\nrx(x36) q[8];\nrz(x159) q[8];\nrx(x89) q[9];\nrz(x160) q[9];\nrx(x161) q[10];\nrz(x162) q[10];\ncrz(x163) q[1], q[0];\ncrz(x164) q[3], q[2];\ncrz(x165) q[5], q[4];\ncrz(x166) q[7], q[6];\ncrz(x167) q[9], q[8];\nrx(x135) q[0];\nrz(x168) q[0];\nrx(x149) q[1];\nrz(x169) q[1];\nrx(x170) q[2];\nrz(x171) q[2];\nrx(x102) q[3];\nrz(x172) q[3];\nrx(x173) q[4];\nrz(x174) q[4];\nrx(x61) q[5];\nrz(x175) q[5];\nrx(x176) q[6];\nrz(x177) q[6];\nrx(x33) q[7];\nrz(x168) q[7];\nrx(x178) q[8];\nrz(x179) q[8];\nrx(x180) q[9];\nrz(x96) q[9];\nrx(x118) q[10];\nrz(x181) q[10];\ncrz(x182) q[2], q[1];\ncrz(x183) q[4], q[3];\ncrz(x184) q[6], q[5];\ncrz(x185) q[8], q[7];\ncrz(x186) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["1395080614987992643","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 5, 6], [0, 8, 7], [6, 7], [1, 3, 5], [4, 5], [1, 2, 7], [8, 6], [2, 6], [8, 4], [4, 6], [0, 3], [0, 1, 4], [8, 2, 3]]}","{\"states\": [397, 459], \"expectation_value\": -1.0976709330744179, \"params\": [[0.2701], [-0.25370000000000004]], \"bitstrings\": [\"001110010\", \"000110100\"], \"total_optimization_steps\": 30, \"probabilities\": [0.006436105087525675, 0.006468259210933328], \"optimization_time\": 4.69629979133606}","0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.33333333333333326 * Z(5) + 0.5000000000000001 * Z(0) + 0.16666666666666652 * Z(6) + 0.3333333333333335 * Z(8) + 0.33333333333333326 * Z(7) + 0.4999999999999999 * Z(1) + 0.33333333333333326 * Z(3) + 0.16666666666666652 * Z(4) + 0.33333333333333326 * Z(2)",1,9,1,"{\"smallest_eigenvalues\": [-3.833333333333335], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.500000000000001, \"smallest_bitstrings\": [\"000110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[0];\nrz(0.09) q[0];\ncx q[5], q[0];\ncx q[5], q[6];\nrz(0.09) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(0.09) q[6];\ncx q[0], q[6];\ncx q[0], q[8];\nrz(0.09) q[8];\ncx q[0], q[8];\ncx q[6], q[8];\nrz(0.2701) q[8];\ncx q[6], q[8];\ncx q[0], q[7];\nrz(0.09) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.2701) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(0.09) q[7];\ncx q[8], q[7];\ncx q[5], q[1];\nrz(0.09) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(0.09) q[1];\ncx q[0], q[1];\ncx q[7], q[1];\nrz(0.09) q[1];\ncx q[7], q[1];\ncx q[5], q[3];\nrz(0.09) q[3];\ncx q[5], q[3];\ncx q[0], q[3];\nrz(0.2701) q[3];\ncx q[0], q[3];\ncx q[8], q[3];\nrz(0.09) q[3];\ncx q[8], q[3];\ncx q[1], q[3];\nrz(0.09) q[3];\ncx q[1], q[3];\ncx q[5], q[4];\nrz(0.2701) q[4];\ncx q[5], q[4];\ncx q[0], q[4];\nrz(0.09) q[4];\ncx q[0], q[4];\ncx q[6], q[4];\nrz(0.2701) q[4];\ncx q[6], q[4];\ncx q[8], q[4];\nrz(0.2701) q[4];\ncx q[8], q[4];\ncx q[1], q[4];\nrz(0.09) q[4];\ncx q[1], q[4];\ncx q[6], q[2];\nrz(0.2701) q[2];\ncx q[6], q[2];\ncx q[8], q[2];\nrz(0.09) q[2];\ncx q[8], q[2];\ncx q[7], q[2];\nrz(0.09) q[2];\ncx q[7], q[2];\ncx q[1], q[2];\nrz(0.09) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(0.09) q[2];\ncx q[3], q[2];\nrz(0.1801) q[5];\nrz(0.2701) q[0];\nrz(0.09) q[6];\nrz(0.1801) q[8];\nrz(0.1801) q[7];\nrz(0.2701) q[1];\nrz(0.1801) q[3];\nrz(0.09) q[4];\nrz(0.1801) q[2];\nh q[0];\nrz(-0.5074) q[0];\nh q[0];\nh q[1];\nrz(-0.5074) q[1];\nh q[1];\nh q[2];\nrz(-0.5074) q[2];\nh q[2];\nh q[3];\nrz(-0.5074) q[3];\nh q[3];\nh q[4];\nrz(-0.5074) q[4];\nh q[4];\nh q[5];\nrz(-0.5074) q[5];\nh q[5];\nh q[6];\nrz(-0.5074) q[6];\nh q[6];\nh q[7];\nrz(-0.5074) q[7];\nh q[7];\nh q[8];\nrz(-0.5074) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[0], q[8];\nrz(x0) q[8];\ncx q[0], q[8];\ncx q[6], q[8];\nrz(x1) q[8];\ncx q[6], q[8];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[7], q[1];\nrz(x0) q[1];\ncx q[7], q[1];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[8], q[3];\nrz(x0) q[3];\ncx q[8], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\ncx q[8], q[4];\nrz(x1) q[4];\ncx q[8], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[8], q[2];\nrz(x0) q[2];\ncx q[8], q[2];\ncx q[7], q[2];\nrz(x0) q[2];\ncx q[7], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\nrz(x2) q[5];\nrz(x1) q[0];\nrz(x0) q[6];\nrz(x2) q[8];\nrz(x2) q[7];\nrz(x1) q[1];\nrz(x2) q[3];\nrz(x0) q[4];\nrz(x2) q[2];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nh q[7];\nrz(x3) q[7];\nh q[7];\nh q[8];\nrz(x3) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["79a8e3a0fef1f64abee7a612676322e4","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 6}, {\"weight\": 19, \"source\": 0, \"target\": 7}, {\"weight\": 1, \"source\": 1, \"target\": 7}, {\"weight\": 10, \"source\": 2, \"target\": 8}, {\"weight\": 19, \"source\": 2, \"target\": 7}, {\"weight\": 14, \"source\": 2, \"target\": 9}, {\"weight\": 2, \"source\": 3, \"target\": 9}, {\"weight\": 18, \"source\": 3, \"target\": 11}, {\"weight\": 14, \"source\": 3, \"target\": 13}, {\"weight\": 1, \"source\": 4, \"target\": 10}, {\"weight\": 2, \"source\": 5, \"target\": 11}]}","{\"states\": [760, 696], \"expectation_value\": -95.01590682546794, \"params\": [-0.0033, 0.4133, 0.5976, 0.0666, 0.1951, 0.2099, 0.6008, 0.0443, 0.3885, 0.1515, 0.6023000000000001, -0.0063, 0.6046, 0.017, 0.5965, 0.15940000000000001, 0.3891, 0.13340000000000002, 0.0021000000000000003, 0.4572, 0.0019, 0.37310000000000004, -0.0047, 0.4136, 0.5968, 0.08080000000000001, 0.19740000000000002, 0.2026, 0.5973, 0.053700000000000005, 0.38020000000000004, 0.1592, 0.5952000000000001, 0.0181, 0.6036, 0.019700000000000002, 0.5987, 0.1521, 0.3875, 0.13440000000000002, 0.0032, 0.4621, 0.0013000000000000002, 0.3794, -0.0016, 0.3987, 0.606, 0.08420000000000001, 0.2041, 0.20570000000000002, 0.6053000000000001, 0.0402, 0.38670000000000004, 0.14100000000000001, 0.5974, 0.006, 0.598, 0.008700000000000001, 0.5928, 0.14200000000000002, 0.3956, 0.13240000000000002, 0.004200000000000001, 0.44220000000000004, 0.0016, 0.38220000000000004, -0.0043, 0.0094, 0.6027, 0.0033, 0.2031, 0.0091, 0.6036, 0.0, 0.3849, 0.008, 0.5971000000000001, 0.0036000000000000003, 0.5964, 0.004200000000000001, 0.5985, 0.0048000000000000004, 0.39130000000000004, 0.0027, 0.0016, 0.004200000000000001, 0.002, 0.0044, -0.3583, -0.3902, 0.1336, -0.10740000000000001, 0.0893, -0.0563, -0.0019, 0.0431, 0.1703, -0.1252, -0.4424, -0.36610000000000004, -0.1411, 0.1625, 0.1683, 0.1247, 0.1653, -0.0056, 0.08560000000000001, 0.1658, -0.1207, -0.4505, -0.3592, 0.3181, 0.18150000000000002, 0.1688, 0.1212, 0.1427, -0.0049, 0.1134, 0.1552, -0.1165, -0.4325, 0.008400000000000001, 0.009000000000000001, 0.0012000000000000001, 0.009600000000000001, 0.007200000000000001, 0.0035, 0.0011, 0.0099, 0.0039000000000000003, 0.0085, 0.009000000000000001], \"bitstrings\": [\"10100000111\", \"10101000111\"], \"total_optimization_steps\": 60, \"probabilities\": [0.10365752740830117, 0.12777468535786268], \"optimization_time\": 14.760918140411377}","7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(10) @ Z(6)) + -7.0 * Z(0) + 17.0 * Z(1) + 0.5 * Z(2) + 24.5 * Z(3) + 14.5 * Z(5) + 5.0 * Z(4) + 8.5 * Z(8) + 7.0 * Z(7) + 16.5 * Z(6) + -6.5 * Z(10) + -14.5 * Z(9)",18,11,4,"{\"smallest_eigenvalues\": [-138.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -126.5, \"smallest_bitstrings\": [\"10101000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.0033) q[0];\nrz(0.4133) q[0];\nrx(0.5976) q[1];\nrz(0.0666) q[1];\nrx(0.1951) q[2];\nrz(0.2099) q[2];\nrx(0.6008) q[3];\nrz(0.0443) q[3];\nrx(0.3885) q[4];\nrz(0.1515) q[4];\nrx(0.6023) q[5];\nrz(-0.0063) q[5];\nrx(0.6046) q[6];\nrz(0.017) q[6];\nrx(0.5965) q[7];\nrz(0.1594) q[7];\nrx(0.3891) q[8];\nrz(0.1334) q[8];\nrx(0.0021) q[9];\nrz(0.4572) q[9];\nrx(0.0019) q[10];\nrz(0.3731) q[10];\ncrz(-0.3583) q[10], q[0];\ncrz(-0.4424) q[9], q[10];\ncrz(-0.1252) q[8], q[9];\ncrz(0.1703) q[7], q[8];\ncrz(0.0431) q[6], q[7];\ncrz(-0.0019) q[5], q[6];\ncrz(-0.0563) q[4], q[5];\ncrz(0.0893) q[3], q[4];\ncrz(-0.1074) q[2], q[3];\ncrz(0.1336) q[1], q[2];\ncrz(-0.3902) q[0], q[1];\nrx(-0.0047) q[0];\nrz(0.4136) q[0];\nrx(0.5968) q[1];\nrz(0.0808) q[1];\nrx(0.1974) q[2];\nrz(0.2026) q[2];\nrx(0.5973) q[3];\nrz(0.0537) q[3];\nrx(0.3802) q[4];\nrz(0.1592) q[4];\nrx(0.5952) q[5];\nrz(0.0181) q[5];\nrx(0.6036) q[6];\nrz(0.0197) q[6];\nrx(0.5987) q[7];\nrz(0.1521) q[7];\nrx(0.3875) q[8];\nrz(0.1344) q[8];\nrx(0.0032) q[9];\nrz(0.4621) q[9];\nrx(0.0013) q[10];\nrz(0.3794) q[10];\ncrz(-0.3661) q[10], q[0];\ncrz(-0.4505) q[9], q[10];\ncrz(-0.1207) q[8], q[9];\ncrz(0.1658) q[7], q[8];\ncrz(0.0856) q[6], q[7];\ncrz(-0.0056) q[5], q[6];\ncrz(0.1653) q[4], q[5];\ncrz(0.1247) q[3], q[4];\ncrz(0.1683) q[2], q[3];\ncrz(0.1625) q[1], q[2];\ncrz(-0.1411) q[0], q[1];\nrx(-0.0016) q[0];\nrz(0.3987) q[0];\nrx(0.606) q[1];\nrz(0.0842) q[1];\nrx(0.2041) q[2];\nrz(0.2057) q[2];\nrx(0.6053) q[3];\nrz(0.0402) q[3];\nrx(0.3867) q[4];\nrz(0.141) q[4];\nrx(0.5974) q[5];\nrz(0.006) q[5];\nrx(0.598) q[6];\nrz(0.0087) q[6];\nrx(0.5928) q[7];\nrz(0.142) q[7];\nrx(0.3956) q[8];\nrz(0.1324) q[8];\nrx(0.0042) q[9];\nrz(0.4422) q[9];\nrx(0.0016) q[10];\nrz(0.3822) q[10];\ncrz(-0.3592) q[10], q[0];\ncrz(-0.4325) q[9], q[10];\ncrz(-0.1165) q[8], q[9];\ncrz(0.1552) q[7], q[8];\ncrz(0.1134) q[6], q[7];\ncrz(-0.0049) q[5], q[6];\ncrz(0.1427) q[4], q[5];\ncrz(0.1212) q[3], q[4];\ncrz(0.1688) q[2], q[3];\ncrz(0.1815) q[1], q[2];\ncrz(0.3181) q[0], q[1];\nrx(-0.0043) q[0];\nrz(0.0094) q[0];\nrx(0.6027) q[1];\nrz(0.0033) q[1];\nrx(0.2031) q[2];\nrz(0.0091) q[2];\nrx(0.6036) q[3];\nrz(0) q[3];\nrx(0.3849) q[4];\nrz(0.008) q[4];\nrx(0.5971) q[5];\nrz(0.0036) q[5];\nrx(0.5964) q[6];\nrz(0.0042) q[6];\nrx(0.5985) q[7];\nrz(0.0048) q[7];\nrx(0.3913) q[8];\nrz(0.0027) q[8];\nrx(0.0016) q[9];\nrz(0.0042) q[9];\nrx(0.002) q[10];\nrz(0.0044) q[10];\ncrz(0.0084) q[10], q[0];\ncrz(0.009) q[9], q[10];\ncrz(0.0085) q[8], q[9];\ncrz(0.0039) q[7], q[8];\ncrz(0.0099) q[6], q[7];\ncrz(0.0011) q[5], q[6];\ncrz(0.0035) q[4], q[5];\ncrz(0.0072) q[3], q[4];\ncrz(0.0096) q[2], q[3];\ncrz(0.0012) q[1], q[2];\ncrz(0.009) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrz(x22) q[10], q[0];\ncrz(x23) q[9], q[10];\ncrz(x24) q[8], q[9];\ncrz(x25) q[7], q[8];\ncrz(x26) q[6], q[7];\ncrz(x27) q[5], q[6];\ncrz(x28) q[4], q[5];\ncrz(x29) q[3], q[4];\ncrz(x30) q[2], q[3];\ncrz(x31) q[1], q[2];\ncrz(x32) q[0], q[1];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x39) q[3];\nrz(x40) q[3];\nrx(x41) q[4];\nrz(x42) q[4];\nrx(x43) q[5];\nrz(x44) q[5];\nrx(x45) q[6];\nrz(x46) q[6];\nrx(x47) q[7];\nrz(x48) q[7];\nrx(x49) q[8];\nrz(x50) q[8];\nrx(x51) q[9];\nrz(x52) q[9];\nrx(x53) q[10];\nrz(x54) q[10];\ncrz(x55) q[10], q[0];\ncrz(x56) q[9], q[10];\ncrz(x57) q[8], q[9];\ncrz(x58) q[7], q[8];\ncrz(x59) q[6], q[7];\ncrz(x60) q[5], q[6];\ncrz(x61) q[4], q[5];\ncrz(x62) q[3], q[4];\ncrz(x63) q[2], q[3];\ncrz(x64) q[1], q[2];\ncrz(x65) q[0], q[1];\nrx(x66) q[0];\nrz(x67) q[0];\nrx(x68) q[1];\nrz(x69) q[1];\nrx(x70) q[2];\nrz(x71) q[2];\nrx(x72) q[3];\nrz(x73) q[3];\nrx(x74) q[4];\nrz(x75) q[4];\nrx(x76) q[5];\nrz(x77) q[5];\nrx(x78) q[6];\nrz(x79) q[6];\nrx(x80) q[7];\nrz(x81) q[7];\nrx(x82) q[8];\nrz(x83) q[8];\nrx(x84) q[9];\nrz(x85) q[9];\nrx(x86) q[10];\nrz(x87) q[10];\ncrz(x88) q[10], q[0];\ncrz(x89) q[9], q[10];\ncrz(x90) q[8], q[9];\ncrz(x91) q[7], q[8];\ncrz(x92) q[6], q[7];\ncrz(x93) q[5], q[6];\ncrz(x94) q[4], q[5];\ncrz(x95) q[3], q[4];\ncrz(x96) q[2], q[3];\ncrz(x97) q[1], q[2];\ncrz(x98) q[0], q[1];\nrx(x99) q[0];\nrz(x100) q[0];\nrx(x101) q[1];\nrz(x102) q[1];\nrx(x103) q[2];\nrz(x104) q[2];\nrx(x45) q[3];\nrz(x105) q[3];\nrx(x106) q[4];\nrz(x107) q[4];\nrx(x108) q[5];\nrz(x109) q[5];\nrx(x110) q[6];\nrz(x84) q[6];\nrx(x111) q[7];\nrz(x112) q[7];\nrx(x113) q[8];\nrz(x114) q[8];\nrx(x86) q[9];\nrz(x84) q[9];\nrx(x115) q[10];\nrz(x116) q[10];\ncrz(x117) q[10], q[0];\ncrz(x118) q[9], q[10];\ncrz(x119) q[8], q[9];\ncrz(x120) q[7], q[8];\ncrz(x121) q[6], q[7];\ncrz(x122) q[5], q[6];\ncrz(x123) q[4], q[5];\ncrz(x124) q[3], q[4];\ncrz(x125) q[2], q[3];\ncrz(x126) q[1], q[2];\ncrz(x118) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10, 11, 12, 13]}\"}","{\"circuits\": [], \"gradients\": []}"]
["74e5b8afd1f04f850c8f51ecde3fef19","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [883, 971], \"expectation_value\": -0.06813623525840205, \"params\": [[0.0466, 0.052000000000000005], [-0.0352, -0.0379]], \"bitstrings\": [\"0010001100\", \"0000110100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.001147588220316702, 0.001147606297652748], \"optimization_time\": 15.853808879852295}","0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0625 * (Z(1) @ Z(3) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(2) @ Z(1) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(1) @ Z(8) @ Z(7)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(9)) + 0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(2) @ Z(5) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(9) @ Z(4)) + 0.125 * (Z(8) @ Z(6)) + 0.125 * (Z(9) @ Z(6)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(4) @ Z(6)) + -0.125 * (Z(4) @ Z(9) @ Z(6)) + -0.125 * (Z(8) @ Z(9) @ Z(4)) + -0.125 * (Z(8) @ Z(9) @ Z(6)) + 0.125 * (Z(8) @ Z(4) @ Z(9) @ Z(6)) + 0.1875 * Z(0) + 0.1875 * Z(1) + 0.1875 * Z(2) + -0.0625 * Z(3) + 0.3125 * Z(4) + 0.0 * Z(5) + 0.125 * Z(6) + -0.25 * Z(7) + 0.125 * Z(8) + 0.125 * Z(9)",1,10,2,"{\"smallest_eigenvalues\": [-3.4375, -3.4375, -3.4375, -3.4375], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.4375, \"smallest_bitstrings\": [\"0000110100\", \"1000000101\", \"0001010010\", \"0010001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(0.0058) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0058) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(0.0058) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(0.0058) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(0.0058) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0058) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0058) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(0.0058) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0058) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(0.0058) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0058) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(-0.0058) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(-0.0058) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(-0.0058) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(-0.0058) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(-0.0058) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.0058) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(-0.0058) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.0058) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(-0.0058) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0058) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0058) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(0.0058) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(0.0058) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(0.0058) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(-0.0058) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(0.0233) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.0233) q[0];\ncx q[6], q[0];\ncx q[6], q[5];\nrz(0.0233) q[5];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[0];\nrz(-0.0233) q[0];\ncx q[5], q[0];\ncx q[6], q[5];\ncx q[7], q[1];\nrz(0.0233) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(0.0233) q[1];\ncx q[8], q[1];\ncx q[8], q[7];\nrz(0.0233) q[7];\ncx q[8], q[7];\ncx q[7], q[8];\ncx q[8], q[1];\nrz(-0.0233) q[1];\ncx q[8], q[1];\ncx q[7], q[8];\ncx q[5], q[2];\nrz(0.0233) q[2];\ncx q[5], q[2];\ncx q[9], q[2];\nrz(0.0233) q[2];\ncx q[9], q[2];\ncx q[9], q[5];\nrz(0.0233) q[5];\ncx q[9], q[5];\ncx q[9], q[5];\ncx q[5], q[2];\nrz(-0.0233) q[2];\ncx q[5], q[2];\ncx q[9], q[5];\ncx q[3], q[7];\nrz(0.0466) q[7];\ncx q[3], q[7];\ncx q[6], q[4];\nrz(0.0117) q[4];\ncx q[6], q[4];\ncx q[4], q[8];\nrz(0.0117) q[8];\ncx q[4], q[8];\ncx q[4], q[9];\nrz(0.0117) q[9];\ncx q[4], q[9];\ncx q[6], q[8];\nrz(0.0117) q[8];\ncx q[6], q[8];\ncx q[6], q[9];\nrz(0.0117) q[9];\ncx q[6], q[9];\ncx q[9], q[8];\nrz(0.0117) q[8];\ncx q[9], q[8];\ncx q[6], q[4];\ncx q[4], q[8];\nrz(-0.0117) q[8];\ncx q[4], q[8];\ncx q[6], q[4];\ncx q[6], q[9];\ncx q[9], q[4];\nrz(-0.0117) q[4];\ncx q[9], q[4];\ncx q[6], q[9];\ncx q[4], q[9];\ncx q[9], q[8];\nrz(-0.0117) q[8];\ncx q[9], q[8];\ncx q[4], q[9];\ncx q[6], q[9];\ncx q[9], q[8];\nrz(-0.0117) q[8];\ncx q[9], q[8];\ncx q[6], q[9];\ncx q[6], q[9];\ncx q[9], q[4];\ncx q[4], q[8];\nrz(0.0117) q[8];\ncx q[4], q[8];\ncx q[9], q[4];\ncx q[6], q[9];\nrz(0.0175) q[0];\nrz(0.0175) q[1];\nrz(0.0175) q[2];\nrz(-0.0058) q[3];\nrz(0.0291) q[4];\nrz(0) q[5];\nrz(0.0117) q[6];\nrz(-0.0233) q[7];\nrz(0.0117) q[8];\nrz(0.0117) q[9];\nh q[0];\nrz(-0.0704) q[0];\nh q[0];\nh q[1];\nrz(-0.0704) q[1];\nh q[1];\nh q[2];\nrz(-0.0704) q[2];\nh q[2];\nh q[3];\nrz(-0.0704) q[3];\nh q[3];\nh q[4];\nrz(-0.0704) q[4];\nh q[4];\nh q[5];\nrz(-0.0704) q[5];\nh q[5];\nh q[6];\nrz(-0.0704) q[6];\nh q[6];\nh q[7];\nrz(-0.0704) q[7];\nh q[7];\nh q[8];\nrz(-0.0704) q[8];\nh q[8];\nh q[9];\nrz(-0.0704) q[9];\nh q[9];\ncx q[1], q[0];\nrz(0.0065) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0065) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(0.0065) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(0.0065) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(0.0065) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0065) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0065) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(0.0065) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0065) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(0.0065) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0065) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(-0.0065) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(-0.0065) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(-0.0065) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(-0.0065) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(-0.0065) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(-0.0065) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(-0.0065) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.0065) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(-0.0065) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0065) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0065) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(0.0065) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(0.0065) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(0.0065) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(-0.0065) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(0.026) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.026) q[0];\ncx q[6], q[0];\ncx q[6], q[5];\nrz(0.026) q[5];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[0];\nrz(-0.026) q[0];\ncx q[5], q[0];\ncx q[6], q[5];\ncx q[7], q[1];\nrz(0.026) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(0.026) q[1];\ncx q[8], q[1];\ncx q[8], q[7];\nrz(0.026) q[7];\ncx q[8], q[7];\ncx q[7], q[8];\ncx q[8], q[1];\nrz(-0.026) q[1];\ncx q[8], q[1];\ncx q[7], q[8];\ncx q[5], q[2];\nrz(0.026) q[2];\ncx q[5], q[2];\ncx q[9], q[2];\nrz(0.026) q[2];\ncx q[9], q[2];\ncx q[9], q[5];\nrz(0.026) q[5];\ncx q[9], q[5];\ncx q[9], q[5];\ncx q[5], q[2];\nrz(-0.026) q[2];\ncx q[5], q[2];\ncx q[9], q[5];\ncx q[3], q[7];\nrz(0.052) q[7];\ncx q[3], q[7];\ncx q[6], q[4];\nrz(0.013) q[4];\ncx q[6], q[4];\ncx q[4], q[8];\nrz(0.013) q[8];\ncx q[4], q[8];\ncx q[4], q[9];\nrz(0.013) q[9];\ncx q[4], q[9];\ncx q[6], q[8];\nrz(0.013) q[8];\ncx q[6], q[8];\ncx q[6], q[9];\nrz(0.013) q[9];\ncx q[6], q[9];\ncx q[9], q[8];\nrz(0.013) q[8];\ncx q[9], q[8];\ncx q[6], q[4];\ncx q[4], q[8];\nrz(-0.013) q[8];\ncx q[4], q[8];\ncx q[6], q[4];\ncx q[6], q[9];\ncx q[9], q[4];\nrz(-0.013) q[4];\ncx q[9], q[4];\ncx q[6], q[9];\ncx q[4], q[9];\ncx q[9], q[8];\nrz(-0.013) q[8];\ncx q[9], q[8];\ncx q[4], q[9];\ncx q[6], q[9];\ncx q[9], q[8];\nrz(-0.013) q[8];\ncx q[9], q[8];\ncx q[6], q[9];\ncx q[6], q[9];\ncx q[9], q[4];\ncx q[4], q[8];\nrz(0.013) q[8];\ncx q[4], q[8];\ncx q[9], q[4];\ncx q[6], q[9];\nrz(0.0195) q[0];\nrz(0.0195) q[1];\nrz(0.0195) q[2];\nrz(-0.0065) q[3];\nrz(0.0325) q[4];\nrz(0) q[5];\nrz(0.013) q[6];\nrz(-0.026) q[7];\nrz(0.013) q[8];\nrz(0.013) q[9];\nh q[0];\nrz(-0.0758) q[0];\nh q[0];\nh q[1];\nrz(-0.0758) q[1];\nh q[1];\nh q[2];\nrz(-0.0758) q[2];\nh q[2];\nh q[3];\nrz(-0.0758) q[3];\nh q[3];\nh q[4];\nrz(-0.0758) q[4];\nh q[4];\nh q[5];\nrz(-0.0758) q[5];\nh q[5];\nh q[6];\nrz(-0.0758) q[6];\nh q[6];\nh q[7];\nrz(-0.0758) q[7];\nh q[7];\nh q[8];\nrz(-0.0758) q[8];\nh q[8];\nh q[9];\nrz(-0.0758) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[0];\nrz(x3) q[0];\ncx q[5], q[0];\ncx q[6], q[5];\ncx q[7], q[1];\nrz(x2) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(x2) q[1];\ncx q[8], q[1];\ncx q[8], q[7];\nrz(x2) q[7];\ncx q[8], q[7];\ncx q[7], q[8];\ncx q[8], q[1];\nrz(x3) q[1];\ncx q[8], q[1];\ncx q[7], q[8];\ncx q[5], q[2];\nrz(x2) q[2];\ncx q[5], q[2];\ncx q[9], q[2];\nrz(x2) q[2];\ncx q[9], q[2];\ncx q[9], q[5];\nrz(x2) q[5];\ncx q[9], q[5];\ncx q[9], q[5];\ncx q[5], q[2];\nrz(x3) q[2];\ncx q[5], q[2];\ncx q[9], q[5];\ncx q[3], q[7];\nrz(x4) q[7];\ncx q[3], q[7];\ncx q[6], q[4];\nrz(x5) q[4];\ncx q[6], q[4];\ncx q[4], q[8];\nrz(x5) q[8];\ncx q[4], q[8];\ncx q[4], q[9];\nrz(x5) q[9];\ncx q[4], q[9];\ncx q[6], q[8];\nrz(x5) q[8];\ncx q[6], q[8];\ncx q[6], q[9];\nrz(x5) q[9];\ncx q[6], q[9];\ncx q[9], q[8];\nrz(x5) q[8];\ncx q[9], q[8];\ncx q[6], q[4];\ncx q[4], q[8];\nrz(x6) q[8];\ncx q[4], q[8];\ncx q[6], q[4];\ncx q[6], q[9];\ncx q[9], q[4];\nrz(x6) q[4];\ncx q[9], q[4];\ncx q[6], q[9];\ncx q[4], q[9];\ncx q[9], q[8];\nrz(x6) q[8];\ncx q[9], q[8];\ncx q[4], q[9];\ncx q[6], q[9];\ncx q[9], q[8];\nrz(x6) q[8];\ncx q[9], q[8];\ncx q[6], q[9];\ncx q[6], q[9];\ncx q[9], q[4];\ncx q[4], q[8];\nrz(x5) q[8];\ncx q[4], q[8];\ncx q[9], q[4];\ncx q[6], q[9];\nrz(x7) q[0];\nrz(x7) q[1];\nrz(x7) q[2];\nrz(x1) q[3];\nrz(x8) q[4];\nrz(x9) q[5];\nrz(x5) q[6];\nrz(x3) q[7];\nrz(x5) q[8];\nrz(x5) q[9];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\nh q[9];\nrz(x10) q[9];\nh q[9];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x11) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x11) q[0];\ncx q[4], q[0];\ncx q[2], q[1];\nrz(x11) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x11) q[1];\ncx q[4], q[1];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x11) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x11) q[3];\ncx q[4], q[3];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[1];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[4], q[1];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x12) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(x12) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x12) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x12) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x12) q[1];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x12) q[1];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x12) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[1];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[3], q[1];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x11) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\nrz(x11) q[1];\ncx q[2], q[1];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[0];\nrz(x12) q[0];\ncx q[3], q[0];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[4], q[1];\ncx q[5], q[0];\nrz(x13) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x13) q[0];\ncx q[6], q[0];\ncx q[6], q[5];\nrz(x13) q[5];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[0];\nrz(x14) q[0];\ncx q[5], q[0];\ncx q[6], q[5];\ncx q[7], q[1];\nrz(x13) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(x13) q[1];\ncx q[8], q[1];\ncx q[8], q[7];\nrz(x13) q[7];\ncx q[8], q[7];\ncx q[7], q[8];\ncx q[8], q[1];\nrz(x14) q[1];\ncx q[8], q[1];\ncx q[7], q[8];\ncx q[5], q[2];\nrz(x13) q[2];\ncx q[5], q[2];\ncx q[9], q[2];\nrz(x13) q[2];\ncx q[9], q[2];\ncx q[9], q[5];\nrz(x13) q[5];\ncx q[9], q[5];\ncx q[9], q[5];\ncx q[5], q[2];\nrz(x14) q[2];\ncx q[5], q[2];\ncx q[9], q[5];\ncx q[3], q[7];\nrz(x15) q[7];\ncx q[3], q[7];\ncx q[6], q[4];\nrz(x16) q[4];\ncx q[6], q[4];\ncx q[4], q[8];\nrz(x16) q[8];\ncx q[4], q[8];\ncx q[4], q[9];\nrz(x16) q[9];\ncx q[4], q[9];\ncx q[6], q[8];\nrz(x16) q[8];\ncx q[6], q[8];\ncx q[6], q[9];\nrz(x16) q[9];\ncx q[6], q[9];\ncx q[9], q[8];\nrz(x16) q[8];\ncx q[9], q[8];\ncx q[6], q[4];\ncx q[4], q[8];\nrz(x17) q[8];\ncx q[4], q[8];\ncx q[6], q[4];\ncx q[6], q[9];\ncx q[9], q[4];\nrz(x17) q[4];\ncx q[9], q[4];\ncx q[6], q[9];\ncx q[4], q[9];\ncx q[9], q[8];\nrz(x17) q[8];\ncx q[9], q[8];\ncx q[4], q[9];\ncx q[6], q[9];\ncx q[9], q[8];\nrz(x17) q[8];\ncx q[9], q[8];\ncx q[6], q[9];\ncx q[6], q[9];\ncx q[9], q[4];\ncx q[4], q[8];\nrz(x16) q[8];\ncx q[4], q[8];\ncx q[9], q[4];\ncx q[6], q[9];\nrz(x18) q[0];\nrz(x18) q[1];\nrz(x18) q[2];\nrz(x12) q[3];\nrz(x19) q[4];\nrz(x9) q[5];\nrz(x16) q[6];\nrz(x14) q[7];\nrz(x16) q[8];\nrz(x16) q[9];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nh q[7];\nrz(x20) q[7];\nh q[7];\nh q[8];\nrz(x20) q[8];\nh q[8];\nh q[9];\nrz(x20) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["b2edf981a9c05ff141b468ab5531d2c7","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [35, 11], \"expectation_value\": -0.729016772230995, \"params\": [[-0.040400000000000005, -0.06570000000000001, -0.0575, -0.06470000000000001], [0.0223, 0.0654, 0.0614, 0.06570000000000001]], \"bitstrings\": [\"011100\", \"110100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.02830282382633323, 0.028302823826333246], \"optimization_time\": 3.9953057765960693}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3)",1,6,4,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"011100\", \"110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0404) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0404) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.0404) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(-0.0404) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(-0.0404) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.0404) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0404) q[3];\ncx q[5], q[3];\nrz(0.0808) q[1];\nrz(0.0404) q[0];\nrz(0.0404) q[2];\nrz(0.0404) q[4];\nrz(0.0404) q[5];\nrz(0.0808) q[3];\nh q[0];\nrz(0.0446) q[0];\nh q[0];\nh q[1];\nrz(0.0446) q[1];\nh q[1];\nh q[2];\nrz(0.0446) q[2];\nh q[2];\nh q[3];\nrz(0.0446) q[3];\nh q[3];\nh q[4];\nrz(0.0446) q[4];\nh q[4];\nh q[5];\nrz(0.0446) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0657) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0657) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.0657) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(-0.0657) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(-0.0657) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.0657) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0657) q[3];\ncx q[5], q[3];\nrz(0.1314) q[1];\nrz(0.0657) q[0];\nrz(0.0657) q[2];\nrz(0.0657) q[4];\nrz(0.0657) q[5];\nrz(0.1314) q[3];\nh q[0];\nrz(0.1308) q[0];\nh q[0];\nh q[1];\nrz(0.1308) q[1];\nh q[1];\nh q[2];\nrz(0.1308) q[2];\nh q[2];\nh q[3];\nrz(0.1308) q[3];\nh q[3];\nh q[4];\nrz(0.1308) q[4];\nh q[4];\nh q[5];\nrz(0.1308) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0575) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0575) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.0575) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(-0.0575) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(-0.0575) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.0575) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0575) q[3];\ncx q[5], q[3];\nrz(0.115) q[1];\nrz(0.0575) q[0];\nrz(0.0575) q[2];\nrz(0.0575) q[4];\nrz(0.0575) q[5];\nrz(0.115) q[3];\nh q[0];\nrz(0.1228) q[0];\nh q[0];\nh q[1];\nrz(0.1228) q[1];\nh q[1];\nh q[2];\nrz(0.1228) q[2];\nh q[2];\nh q[3];\nrz(0.1228) q[3];\nh q[3];\nh q[4];\nrz(0.1228) q[4];\nh q[4];\nh q[5];\nrz(0.1228) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0647) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0647) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.0647) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(-0.0647) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(-0.0647) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.0647) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0647) q[3];\ncx q[5], q[3];\nrz(0.1294) q[1];\nrz(0.0647) q[0];\nrz(0.0647) q[2];\nrz(0.0647) q[4];\nrz(0.0647) q[5];\nrz(0.1294) q[3];\nh q[0];\nrz(0.1314) q[0];\nh q[0];\nh q[1];\nrz(0.1314) q[1];\nh q[1];\nh q[2];\nrz(0.1314) q[2];\nh q[2];\nh q[3];\nrz(0.1314) q[3];\nh q[3];\nh q[4];\nrz(0.1314) q[4];\nh q[4];\nh q[5];\nrz(0.1314) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x1) q[3];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x4) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x4) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x4) q[3];\ncx q[5], q[3];\nrz(x5) q[1];\nrz(x6) q[0];\nrz(x6) q[2];\nrz(x6) q[4];\nrz(x6) q[5];\nrz(x5) q[3];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x8) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x8) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x8) q[3];\ncx q[5], q[3];\nrz(x9) q[1];\nrz(x10) q[0];\nrz(x10) q[2];\nrz(x10) q[4];\nrz(x10) q[5];\nrz(x9) q[3];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x12) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x12) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x12) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(x12) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x12) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x12) q[3];\ncx q[5], q[3];\nrz(x13) q[1];\nrz(x14) q[0];\nrz(x14) q[2];\nrz(x14) q[4];\nrz(x14) q[5];\nrz(x13) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["3b4195810bf2a6f7a0a91b99109270dd","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 18, \"source\": 0, \"target\": 4}, {\"weight\": 12, \"source\": 1, \"target\": 4}, {\"weight\": 2, \"source\": 2, \"target\": 3}, {\"weight\": 13, \"source\": 2, \"target\": 4}, {\"weight\": 11, \"source\": 2, \"target\": 5}, {\"weight\": 18, \"source\": 3, \"target\": 4}, {\"weight\": 8, \"source\": 4, \"target\": 5}]}","{\"states\": [207, 110], \"expectation_value\": -29.55606641180389, \"params\": [[0.008700000000000001, 0.020900000000000002, 0.0048000000000000004, -0.0002], [-0.0194, -0.056400000000000006, -0.055600000000000004, -0.054900000000000004]], \"bitstrings\": [\"00110000\", \"10010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012805700019345632, 0.01585521189344979], \"optimization_time\": 9.3706214427948}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 21.0 * Z(1) + 4.5 * Z(0) + 18.0 * Z(2) + 22.5 * Z(4) + 5.0 * Z(3) + 9.5 * Z(5) + 21.0 * Z(6) + 16.0 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-78.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -71.5, \"smallest_bitstrings\": [\"10010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.0696) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0696) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0696) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.0696) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0696) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(0.0696) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(0.0696) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.0696) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(0.0696) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0696) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.0696) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(0.0696) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.0696) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(0.0696) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.0696) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0696) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0696) q[7];\ncx q[6], q[7];\nrz(0.3654) q[1];\nrz(0.0783) q[0];\nrz(0.3132) q[2];\nrz(0.3915) q[4];\nrz(0.087) q[3];\nrz(0.1653) q[5];\nrz(0.3654) q[6];\nrz(0.2784) q[7];\nh q[0];\nrz(-0.0388) q[0];\nh q[0];\nh q[1];\nrz(-0.0388) q[1];\nh q[1];\nh q[2];\nrz(-0.0388) q[2];\nh q[2];\nh q[3];\nrz(-0.0388) q[3];\nh q[3];\nh q[4];\nrz(-0.0388) q[4];\nh q[4];\nh q[5];\nrz(-0.0388) q[5];\nh q[5];\nh q[6];\nrz(-0.0388) q[6];\nh q[6];\nh q[7];\nrz(-0.0388) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1672) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1672) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1672) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.1672) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.1672) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(0.1672) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(0.1672) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.1672) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(0.1672) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.1672) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.1672) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(0.1672) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.1672) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(0.1672) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.1672) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.1672) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.1672) q[7];\ncx q[6], q[7];\nrz(0.8778) q[1];\nrz(0.1881) q[0];\nrz(0.7524) q[2];\nrz(0.9405) q[4];\nrz(0.209) q[3];\nrz(0.3971) q[5];\nrz(0.8778) q[6];\nrz(0.6688) q[7];\nh q[0];\nrz(-0.1128) q[0];\nh q[0];\nh q[1];\nrz(-0.1128) q[1];\nh q[1];\nh q[2];\nrz(-0.1128) q[2];\nh q[2];\nh q[3];\nrz(-0.1128) q[3];\nh q[3];\nh q[4];\nrz(-0.1128) q[4];\nh q[4];\nh q[5];\nrz(-0.1128) q[5];\nh q[5];\nh q[6];\nrz(-0.1128) q[6];\nh q[6];\nh q[7];\nrz(-0.1128) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0384) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0384) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0384) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.0384) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0384) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(0.0384) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(0.0384) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.0384) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(0.0384) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0384) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.0384) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(0.0384) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.0384) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(0.0384) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.0384) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0384) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0384) q[7];\ncx q[6], q[7];\nrz(0.2016) q[1];\nrz(0.0432) q[0];\nrz(0.1728) q[2];\nrz(0.216) q[4];\nrz(0.048) q[3];\nrz(0.0912) q[5];\nrz(0.2016) q[6];\nrz(0.1536) q[7];\nh q[0];\nrz(-0.1112) q[0];\nh q[0];\nh q[1];\nrz(-0.1112) q[1];\nh q[1];\nh q[2];\nrz(-0.1112) q[2];\nh q[2];\nh q[3];\nrz(-0.1112) q[3];\nh q[3];\nh q[4];\nrz(-0.1112) q[4];\nh q[4];\nh q[5];\nrz(-0.1112) q[5];\nh q[5];\nh q[6];\nrz(-0.1112) q[6];\nh q[6];\nh q[7];\nrz(-0.1112) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0016) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0016) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0016) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.0016) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.0016) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(-0.0016) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(-0.0016) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.0016) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.0016) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.0016) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0016) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(-0.0016) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(-0.0016) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(-0.0016) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(-0.0016) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.0016) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0016) q[7];\ncx q[6], q[7];\nrz(-0.0084) q[1];\nrz(-0.0018) q[0];\nrz(-0.0072) q[2];\nrz(-0.009) q[4];\nrz(-0.002) q[3];\nrz(-0.0038) q[5];\nrz(-0.0084) q[6];\nrz(-0.0064) q[7];\nh q[0];\nrz(-0.1098) q[0];\nh q[0];\nh q[1];\nrz(-0.1098) q[1];\nh q[1];\nh q[2];\nrz(-0.1098) q[2];\nh q[2];\nh q[3];\nrz(-0.1098) q[3];\nh q[3];\nh q[4];\nrz(-0.1098) q[4];\nh q[4];\nh q[5];\nrz(-0.1098) q[5];\nh q[5];\nh q[6];\nrz(-0.1098) q[6];\nh q[6];\nh q[7];\nrz(-0.1098) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[4];\nrz(x5) q[3];\nrz(x6) q[5];\nrz(x1) q[6];\nrz(x7) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(x9) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x9) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x9) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x9) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x9) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[4];\nrz(x14) q[3];\nrz(x15) q[5];\nrz(x10) q[6];\nrz(x16) q[7];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x18) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x18) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x18) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x18) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(x18) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x18) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x18) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x18) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x18) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x18) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x18) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x18) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x18) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x18) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x18) q[7];\ncx q[6], q[7];\nrz(x19) q[1];\nrz(x20) q[0];\nrz(x21) q[2];\nrz(x22) q[4];\nrz(x23) q[3];\nrz(x24) q[5];\nrz(x19) q[6];\nrz(x25) q[7];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x27) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x27) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x27) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x27) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x27) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(x27) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x27) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x27) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x27) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x27) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x27) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x27) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x27) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x27) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x27) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x27) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x27) q[7];\ncx q[6], q[7];\nrz(x28) q[1];\nrz(x29) q[0];\nrz(x30) q[2];\nrz(x31) q[4];\nrz(x32) q[3];\nrz(x33) q[5];\nrz(x28) q[6];\nrz(x34) q[7];\nh q[0];\nrz(x35) q[0];\nh q[0];\nh q[1];\nrz(x35) q[1];\nh q[1];\nh q[2];\nrz(x35) q[2];\nh q[2];\nh q[3];\nrz(x35) q[3];\nh q[3];\nh q[4];\nrz(x35) q[4];\nh q[4];\nh q[5];\nrz(x35) q[5];\nh q[5];\nh q[6];\nrz(x35) q[6];\nh q[6];\nh q[7];\nrz(x35) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["dc8ac5f82febba9dcace181eb5c76eb3","community_detection","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 1, \"source\": 0, \"target\": 5}, {\"weight\": 1, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 1, \"target\": 5}, {\"weight\": 1, \"source\": 2, \"target\": 5}, {\"weight\": 1, \"source\": 3, \"target\": 4}, {\"weight\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [1381, 1385], \"expectation_value\": -1.5094669963639902, \"params\": [-0.0039000000000000003, -0.0004, 0.7874, 0.7911, -0.0115, 0.0135, 0.7917000000000001, 0.7965, 0.0044, -0.0027, 0.7898000000000001, 0.7853, 0.7933, 0.7959, 0.0085, -0.0017000000000000001, -1.0166, -0.6754, 0.728, 0.6961, 0.00030000000000000003, 0.006, 0.7937000000000001, 0.7823, -0.0029000000000000002, -0.0038, 0.7897000000000001, 0.7881, 0.002, -0.0043, 0.7529, 0.7924, -0.0033, -0.0015, 0.7671, 0.7919, 0.759, 0.7899, -0.001, 0.0078000000000000005, -0.0349, 0.159, 0.7788, 0.8824000000000001, -0.00030000000000000003, 0.004, 0.777, 0.7954, -0.32080000000000003, 0.5127, -0.8022, 0.7301000000000001, 0.0644, -1.4936, -0.8848, 0.1418, -0.11710000000000001, -1.8806, 0.9963000000000001, 0.0238, -0.1053, 1.4783000000000002, 0.2409, 0.1048, 1.0566, -0.0285, -1.2641, 1.6462, -0.0164, -1.6108, 2.0755, 0.0981, -0.38870000000000005, 0.0067, -2.1502, 0.0056, -0.2571, 0.0011, -1.7378, 0.0008, 0.09040000000000001, 0.0002, 2.1193, 0.0026000000000000003, -0.1097, 0.0018000000000000002, -0.25670000000000004, 0.0033, 1.0831, 0.0094, -1.1625, 0.0005, 0.07250000000000001, 0.0089, 2.1924, 0.0021000000000000003], \"bitstrings\": [\"101010011010\", \"101010010110\"], \"total_optimization_steps\": 310, \"probabilities\": [0.4854273679400476, 0.5143140359141265], \"optimization_time\": 41.00855851173401}","0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0002551020408163265 * (Z(6) @ Z(0)) + 0.0003826530612244898 * (Z(6) @ Z(2)) + 0.0002551020408163265 * (Z(6) @ Z(4)) + 0.0002551020408163265 * (Z(7) @ Z(1)) + 0.0003826530612244898 * (Z(7) @ Z(3)) + 0.0002551020408163265 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.000510204081632653 * (Z(8) @ Z(0)) + 0.0007653061224489796 * (Z(8) @ Z(2)) + 0.000510204081632653 * (Z(8) @ Z(4)) + -0.0015306122448979593 * (Z(8) @ Z(6)) + 0.000510204081632653 * (Z(9) @ Z(1)) + 0.0007653061224489796 * (Z(9) @ Z(3)) + 0.000510204081632653 * (Z(9) @ Z(5)) + -0.0015306122448979593 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + -0.0007653061224489797 * (Z(10) @ Z(0)) + -0.0002551020408163266 * (Z(10) @ Z(2)) + -0.0007653061224489797 * (Z(10) @ Z(4)) + 0.000510204081632653 * (Z(10) @ Z(6)) + -0.0007653061224489797 * (Z(10) @ Z(8)) + -0.0007653061224489797 * (Z(11) @ Z(1)) + -0.0002551020408163266 * (Z(11) @ Z(3)) + -0.0007653061224489797 * (Z(11) @ Z(5)) + 0.000510204081632653 * (Z(11) @ Z(7)) + -0.0007653061224489797 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + -0.0005102040816326869 * Z(1) + -0.0005102040816326869 * Z(0) + -0.001147959183673497 * Z(2) + -0.001147959183673497 * Z(3) + -0.0005102040816326869 * Z(4) + -0.0005102040816326869 * Z(5) + -0.00012755102040815092 * Z(6) + -0.00012755102040815092 * Z(7) + -0.0005102040816326869 * Z(8) + -0.0005102040816326869 * Z(9) + -0.002040816326530609 * Z(10) + -0.002040816326530609 * Z(11)",13,12,2,"{\"smallest_eigenvalues\": [-1.514540816326532], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.5145408163265315, \"smallest_bitstrings\": [\"101010010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.0039) q[0];\nry(0.7874) q[1];\nry(-0.0115) q[2];\nry(0.7917) q[3];\nry(0.0044) q[4];\nry(0.7898) q[5];\nry(0.7933) q[6];\nry(0.0085) q[7];\nry(-1.0166) q[8];\nry(0.728) q[9];\nry(0.0003) q[10];\nry(0.7937) q[11];\ncrz(-0.3208) q[11], q[0];\ncrz(2.0755) q[10], q[11];\ncrz(-0.0164) q[9], q[10];\ncrz(-1.2641) q[8], q[9];\ncrz(1.0566) q[7], q[8];\ncrz(0.2409) q[6], q[7];\ncrz(-0.1053) q[5], q[6];\ncrz(0.9963) q[4], q[5];\ncrz(-0.1171) q[3], q[4];\ncrz(-0.8848) q[2], q[3];\ncrz(0.0644) q[1], q[2];\ncrz(-0.8022) q[0], q[1];\nry(-0.0004) q[0];\nry(0.7911) q[1];\nry(0.0135) q[2];\nry(0.7965) q[3];\nry(-0.0027) q[4];\nry(0.7853) q[5];\nry(0.7959) q[6];\nry(-0.0017) q[7];\nry(-0.6754) q[8];\nry(0.6961) q[9];\nry(0.006) q[10];\nry(0.7823) q[11];\ncrz(0.5127) q[11], q[10];\ncrz(0.7301) q[0], q[11];\ncrz(-1.4936) q[0], q[1];\ncrz(0.1418) q[1], q[2];\ncrz(-1.8806) q[2], q[3];\ncrz(0.0238) q[3], q[4];\ncrz(1.4783) q[4], q[5];\ncrz(0.1048) q[5], q[6];\ncrz(-0.0285) q[6], q[7];\ncrz(1.6462) q[7], q[8];\ncrz(-1.6108) q[8], q[9];\ncrz(0.0981) q[9], q[10];\nry(-0.0029) q[0];\nry(0.7897) q[1];\nry(0.002) q[2];\nry(0.7529) q[3];\nry(-0.0033) q[4];\nry(0.7671) q[5];\nry(0.759) q[6];\nry(-0.001) q[7];\nry(-0.0349) q[8];\nry(0.7788) q[9];\nry(-0.0003) q[10];\nry(0.777) q[11];\ncrz(-0.3887) q[11], q[0];\ncrz(2.1924) q[10], q[11];\ncrz(0.0725) q[9], q[10];\ncrz(-1.1625) q[8], q[9];\ncrz(1.0831) q[7], q[8];\ncrz(-0.2567) q[6], q[7];\ncrz(-0.1097) q[5], q[6];\ncrz(2.1193) q[4], q[5];\ncrz(0.0904) q[3], q[4];\ncrz(-1.7378) q[2], q[3];\ncrz(-0.2571) q[1], q[2];\ncrz(-2.1502) q[0], q[1];\nry(-0.0038) q[0];\nry(0.7881) q[1];\nry(-0.0043) q[2];\nry(0.7924) q[3];\nry(-0.0015) q[4];\nry(0.7919) q[5];\nry(0.7899) q[6];\nry(0.0078) q[7];\nry(0.159) q[8];\nry(0.8824) q[9];\nry(0.004) q[10];\nry(0.7954) q[11];\ncrz(0.0067) q[11], q[10];\ncrz(0.0056) q[0], q[11];\ncrz(0.0011) q[0], q[1];\ncrz(0.0008) q[1], q[2];\ncrz(0.0002) q[2], q[3];\ncrz(0.0026) q[3], q[4];\ncrz(0.0018) q[4], q[5];\ncrz(0.0033) q[5], q[6];\ncrz(0.0094) q[6], q[7];\ncrz(0.0005) q[7], q[8];\ncrz(0.0089) q[8], q[9];\ncrz(0.0021) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncrz(x12) q[11], q[0];\ncrz(x13) q[10], q[11];\ncrz(x14) q[9], q[10];\ncrz(x15) q[8], q[9];\ncrz(x16) q[7], q[8];\ncrz(x17) q[6], q[7];\ncrz(x18) q[5], q[6];\ncrz(x19) q[4], q[5];\ncrz(x20) q[3], q[4];\ncrz(x21) q[2], q[3];\ncrz(x22) q[1], q[2];\ncrz(x23) q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x32) q[8];\nry(x33) q[9];\nry(x34) q[10];\nry(x35) q[11];\ncrz(x36) q[11], q[10];\ncrz(x37) q[0], q[11];\ncrz(x38) q[0], q[1];\ncrz(x39) q[1], q[2];\ncrz(x40) q[2], q[3];\ncrz(x41) q[3], q[4];\ncrz(x42) q[4], q[5];\ncrz(x43) q[5], q[6];\ncrz(x44) q[6], q[7];\ncrz(x45) q[7], q[8];\ncrz(x46) q[8], q[9];\ncrz(x47) q[9], q[10];\nry(x48) q[0];\nry(x49) q[1];\nry(x50) q[2];\nry(x51) q[3];\nry(x52) q[4];\nry(x53) q[5];\nry(x54) q[6];\nry(x55) q[7];\nry(x56) q[8];\nry(x57) q[9];\nry(x58) q[10];\nry(x59) q[11];\ncrz(x60) q[11], q[0];\ncrz(x61) q[10], q[11];\ncrz(x62) q[9], q[10];\ncrz(x63) q[8], q[9];\ncrz(x64) q[7], q[8];\ncrz(x65) q[6], q[7];\ncrz(x66) q[5], q[6];\ncrz(x67) q[4], q[5];\ncrz(x68) q[3], q[4];\ncrz(x69) q[2], q[3];\ncrz(x70) q[1], q[2];\ncrz(x71) q[0], q[1];\nry(x72) q[0];\nry(x73) q[1];\nry(x74) q[2];\nry(x75) q[3];\nry(x76) q[4];\nry(x77) q[5];\nry(x78) q[6];\nry(x79) q[7];\nry(x80) q[8];\nry(x81) q[9];\nry(x82) q[10];\nry(x83) q[11];\ncrz(x84) q[11], q[10];\ncrz(x85) q[0], q[11];\ncrz(x86) q[0], q[1];\ncrz(x87) q[1], q[2];\ncrz(x88) q[2], q[3];\ncrz(x89) q[3], q[4];\ncrz(x90) q[4], q[5];\ncrz(x91) q[5], q[6];\ncrz(x92) q[6], q[7];\ncrz(x93) q[7], q[8];\ncrz(x94) q[8], q[9];\ncrz(x95) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"communities_size\": 3, \"number_of_communities\": 2}","{\"circuits\": [], \"gradients\": []}"]
["d315d70b641adb2c12afcb5c124b2e90","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 4}, {\"weight\": 9, \"source\": 1, \"target\": 5}, {\"weight\": 10, \"source\": 2, \"target\": 6}, {\"weight\": 17, \"source\": 2, \"target\": 5}, {\"weight\": 19, \"source\": 2, \"target\": 8}, {\"weight\": 16, \"source\": 2, \"target\": 9}, {\"weight\": 8, \"source\": 3, \"target\": 7}, {\"weight\": 19, \"source\": 3, \"target\": 9}, {\"weight\": 11, \"source\": 3, \"target\": 12}]}","{\"states\": [91, 93], \"expectation_value\": -84.05776075298311, \"params\": [[[1.5729, 1.5733000000000001], [-1.5732000000000002, 1.5738], [1.5686, 1.5688], [1.5684, 1.5730000000000002], [1.5682, 1.5732000000000002], [1.5682, 4.732600000000001], [1.5683, -0.0412], [1.5684, -1.5685], [1.5686, 1.5682]]], \"bitstrings\": [\"110100100\", \"110100010\"], \"total_optimization_steps\": 500, \"probabilities\": [0.47936792966215364, 0.5205067810825394], \"optimization_time\": 21.73769521713257}","7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 22.5 * Z(2) + -2.5 * Z(1) + 22.0 * Z(5) + 12.0 * Z(3) + 16.5 * Z(4) + 4.0 * Z(7) + 5.5 * Z(6) + 16.5 * Z(8) + -9.0 * Z(0)",15,9,1,"{\"smallest_eigenvalues\": [-85.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -82.5, \"smallest_bitstrings\": [\"110100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(1.5729) q[0];\nry(-1.5732) q[1];\nry(1.5686) q[2];\nry(1.5684) q[3];\nry(1.5682) q[4];\nry(1.5682) q[5];\nry(1.5683) q[6];\nry(1.5684) q[7];\nry(1.5686) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.5733) q[0];\nry(1.5738) q[1];\nry(1.5688) q[2];\nry(1.573) q[3];\nry(1.5732) q[4];\nry(4.7326) q[5];\nry(-0.0412) q[6];\nry(-1.5685) q[7];\nry(1.5682) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x3) q[7];\nry(x2) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x6) q[0];\nry(x7) q[1];\nry(x8) q[2];\nry(x9) q[3];\nry(x10) q[4];\nry(x11) q[5];\nry(x12) q[6];\nry(x13) q[7];\nry(x4) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}\"}","{\"circuits\": [], \"gradients\": []}"]
["1c5d1381d8045df60eb241fe502287d3","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [0, 135], \"expectation_value\": -30.216037376678464, \"params\": [-0.0018000000000000002, 1.2063000000000001, -0.0032, 1.4135, 0.0059, 1.1561000000000001, -0.010700000000000001, 1.3386, 0.5319, 0.6113000000000001, 0.4021, 1.065, -0.4403, -1.4592, 0.29550000000000004, -0.6534, -0.0008, 1.0133, 0.0037, 1.399, -0.002, 0.9903000000000001, -0.005, 1.8202, 0.0023, 0.0891, 0.0031000000000000003, 1.0391000000000001, 0.4878, 0.6702, 0.4937, 0.7651, 0.4142, 0.444, 0.41700000000000004, 0.453, 0.4359, 0.37070000000000003, 0.4894, 0.5193, -0.0032, 0.6757000000000001, 0.001, 1.2391, 0.0009000000000000001, 0.9004000000000001, -0.0017000000000000001, 0.9359000000000001, 0.152, 0.9656, -0.18430000000000002, 0.2685, -0.047, -0.5295, -0.20570000000000002, 1.4159000000000002, 0.0028, 1.4832, 0.0051, 1.2195, -0.0008, 0.7666000000000001, -0.0054, 1.0251000000000001, -0.0021000000000000003, 1.1498000000000002, -0.0032, 0.6431, 0.4279, 0.6915, -0.31770000000000004, 0.6705, 0.5114000000000001, 0.7721, -0.35650000000000004, 0.9401, 0.4958, 0.6917, -0.4279, 1.1166, 0.0055000000000000005, 0.8639, 0.0014, 0.0002, 0.0118, 0.8543000000000001, -0.0038, 0.006200000000000001, -0.0727, 0.14, 0.24450000000000002, 0.008, 0.16110000000000002, 1.2387000000000001, -0.0814, 0.008400000000000001, -0.0143, 0.7694000000000001, 0.0055000000000000005, 0.0053, 0.016300000000000002, 0.7884, -0.0056, 0.0025, 0.0006000000000000001, 0.2932, 0.0022, 0.0083, 0.033100000000000004, 0.7423000000000001, 0.4177, 0.0099, 0.16040000000000001, 0.6903, 0.39530000000000004, 0.0076, 0.3622, 0.498, 0.3306, 0.0048000000000000004, -0.003, -0.0007, 0.8981, -0.1651, 0.0002, -0.0022, 0.003, 0.7514000000000001, 0.8747, 0.8523000000000001, 0.0026000000000000003, 0.002, -0.9774, -0.188, -0.0017000000000000001, 0.0024000000000000002, -0.0037, -1.1726, -1.0185, -0.5856, 0.0017000000000000001, 0.0044, -0.3502, -0.016900000000000002, -0.0006000000000000001, 0.0022, 0.003, -0.38770000000000004, -0.4188, -0.3599], \"bitstrings\": [\"1111111111\", \"1101111000\"], \"total_optimization_steps\": 340, \"probabilities\": [0.3794829188198513, 0.5800129349710332], \"optimization_time\": 265.9122745990753}","-3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(2)) + -3.0 * Z(1) + -2.5 * Z(0) + -2.5 * Z(4) + 1.0 * Z(3) + -2.5 * Z(5) + -2.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(2) + 0.5 * Z(9)",6,10,3,"{\"smallest_eigenvalues\": [-32.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -31.0, \"smallest_bitstrings\": [\"1101111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.0018) q[0];\nrz(1.2063) q[0];\nrx(0.0059) q[1];\nrz(1.1561) q[1];\nrx(0.5319) q[2];\nrz(0.6113) q[2];\nrx(-0.4403) q[3];\nrz(-1.4592) q[3];\nrx(-0.0008) q[4];\nrz(1.0133) q[4];\nrx(-0.002) q[5];\nrz(0.9903) q[5];\nrx(0.0023) q[6];\nrz(0.0891) q[6];\nrx(0.4878) q[7];\nrz(0.6702) q[7];\nrx(0.4142) q[8];\nrz(0.444) q[8];\nrx(0.4359) q[9];\nrz(0.3707) q[9];\ncrx(0.8747) q[9], q[8];\ncrx(0.7514) q[9], q[7];\ncrx(0.003) q[9], q[6];\ncrx(-0.0022) q[9], q[5];\ncrx(0.0002) q[9], q[4];\ncrx(-0.1651) q[9], q[3];\ncrx(0.8981) q[9], q[2];\ncrx(-0.0007) q[9], q[1];\ncrx(-0.003) q[9], q[0];\ncrx(0.8523) q[8], q[9];\ncrx(0.7514) q[8], q[7];\ncrx(0.003) q[8], q[6];\ncrx(-0.0022) q[8], q[5];\ncrx(0.0002) q[8], q[4];\ncrx(-0.1651) q[8], q[3];\ncrx(0.8981) q[8], q[2];\ncrx(-0.0007) q[8], q[1];\ncrx(-0.003) q[8], q[0];\ncrx(0.8523) q[7], q[9];\ncrx(0.8747) q[7], q[8];\ncrx(0.003) q[7], q[6];\ncrx(-0.0022) q[7], q[5];\ncrx(0.0002) q[7], q[4];\ncrx(-0.1651) q[7], q[3];\ncrx(0.8981) q[7], q[2];\ncrx(-0.0007) q[7], q[1];\ncrx(-0.003) q[7], q[0];\ncrx(0.8523) q[6], q[9];\ncrx(0.8747) q[6], q[8];\ncrx(0.7514) q[6], q[7];\ncrx(-0.0022) q[6], q[5];\ncrx(0.0002) q[6], q[4];\ncrx(-0.1651) q[6], q[3];\ncrx(0.8981) q[6], q[2];\ncrx(-0.0007) q[6], q[1];\ncrx(-0.003) q[6], q[0];\ncrx(0.8523) q[5], q[9];\ncrx(0.8747) q[5], q[8];\ncrx(0.7514) q[5], q[7];\ncrx(0.003) q[5], q[6];\ncrx(0.0002) q[5], q[4];\ncrx(-0.1651) q[5], q[3];\ncrx(0.8981) q[5], q[2];\ncrx(-0.0007) q[5], q[1];\ncrx(-0.003) q[5], q[0];\ncrx(0.8523) q[4], q[9];\ncrx(0.8747) q[4], q[8];\ncrx(0.7514) q[4], q[7];\ncrx(0.003) q[4], q[6];\ncrx(-0.0022) q[4], q[5];\ncrx(-0.1651) q[4], q[3];\ncrx(0.8981) q[4], q[2];\ncrx(-0.0007) q[4], q[1];\ncrx(-0.003) q[4], q[0];\ncrx(0.8523) q[3], q[9];\ncrx(0.8747) q[3], q[8];\ncrx(0.7514) q[3], q[7];\ncrx(0.003) q[3], q[6];\ncrx(-0.0022) q[3], q[5];\ncrx(0.0002) q[3], q[4];\ncrx(0.8981) q[3], q[2];\ncrx(-0.0007) q[3], q[1];\ncrx(-0.003) q[3], q[0];\ncrx(0.8523) q[2], q[9];\ncrx(0.8747) q[2], q[8];\ncrx(0.7514) q[2], q[7];\ncrx(0.003) q[2], q[6];\ncrx(-0.0022) q[2], q[5];\ncrx(0.0002) q[2], q[4];\ncrx(-0.1651) q[2], q[3];\ncrx(-0.0007) q[2], q[1];\ncrx(-0.003) q[2], q[0];\ncrx(0.8523) q[1], q[9];\ncrx(0.8747) q[1], q[8];\ncrx(0.7514) q[1], q[7];\ncrx(0.003) q[1], q[6];\ncrx(-0.0022) q[1], q[5];\ncrx(0.0002) q[1], q[4];\ncrx(-0.1651) q[1], q[3];\ncrx(0.8981) q[1], q[2];\ncrx(-0.003) q[1], q[0];\ncrx(0.8523) q[0], q[9];\ncrx(0.8747) q[0], q[8];\ncrx(0.7514) q[0], q[7];\ncrx(0.003) q[0], q[6];\ncrx(-0.0022) q[0], q[5];\ncrx(0.0002) q[0], q[4];\ncrx(-0.1651) q[0], q[3];\ncrx(0.8981) q[0], q[2];\ncrx(-0.0007) q[0], q[1];\nrx(-0.0032) q[0];\nrz(1.4135) q[0];\nrx(-0.0107) q[1];\nrz(1.3386) q[1];\nrx(0.4021) q[2];\nrz(1.065) q[2];\nrx(0.2955) q[3];\nrz(-0.6534) q[3];\nrx(0.0037) q[4];\nrz(1.399) q[4];\nrx(-0.005) q[5];\nrz(1.8202) q[5];\nrx(0.0031) q[6];\nrz(1.0391) q[6];\nrx(0.4937) q[7];\nrz(0.7651) q[7];\nrx(0.417) q[8];\nrz(0.453) q[8];\nrx(0.4894) q[9];\nrz(0.5193) q[9];\nrx(-0.0032) q[0];\nrz(0.6757) q[0];\nrx(0.0009) q[1];\nrz(0.9004) q[1];\nrx(0.152) q[2];\nrz(0.9656) q[2];\nrx(-0.047) q[3];\nrz(-0.5295) q[3];\nrx(0.0028) q[4];\nrz(1.4832) q[4];\nrx(-0.0008) q[5];\nrz(0.7666) q[5];\nrx(-0.0021) q[6];\nrz(1.1498) q[6];\nrx(0.4279) q[7];\nrz(0.6915) q[7];\nrx(0.5114) q[8];\nrz(0.7721) q[8];\nrx(0.4958) q[9];\nrz(0.6917) q[9];\ncrx(-1.0185) q[9], q[8];\ncrx(-1.1726) q[9], q[7];\ncrx(-0.0037) q[9], q[6];\ncrx(0.0024) q[9], q[5];\ncrx(-0.0017) q[9], q[4];\ncrx(-0.188) q[9], q[3];\ncrx(-0.9774) q[9], q[2];\ncrx(0.002) q[9], q[1];\ncrx(0.0026) q[9], q[0];\ncrx(-0.5856) q[8], q[9];\ncrx(-1.1726) q[8], q[7];\ncrx(-0.0037) q[8], q[6];\ncrx(0.0024) q[8], q[5];\ncrx(-0.0017) q[8], q[4];\ncrx(-0.188) q[8], q[3];\ncrx(-0.9774) q[8], q[2];\ncrx(0.002) q[8], q[1];\ncrx(0.0026) q[8], q[0];\ncrx(-0.5856) q[7], q[9];\ncrx(-1.0185) q[7], q[8];\ncrx(-0.0037) q[7], q[6];\ncrx(0.0024) q[7], q[5];\ncrx(-0.0017) q[7], q[4];\ncrx(-0.188) q[7], q[3];\ncrx(-0.9774) q[7], q[2];\ncrx(0.002) q[7], q[1];\ncrx(0.0026) q[7], q[0];\ncrx(-0.5856) q[6], q[9];\ncrx(-1.0185) q[6], q[8];\ncrx(-1.1726) q[6], q[7];\ncrx(0.0024) q[6], q[5];\ncrx(-0.0017) q[6], q[4];\ncrx(-0.188) q[6], q[3];\ncrx(-0.9774) q[6], q[2];\ncrx(0.002) q[6], q[1];\ncrx(0.0026) q[6], q[0];\ncrx(-0.5856) q[5], q[9];\ncrx(-1.0185) q[5], q[8];\ncrx(-1.1726) q[5], q[7];\ncrx(-0.0037) q[5], q[6];\ncrx(-0.0017) q[5], q[4];\ncrx(-0.188) q[5], q[3];\ncrx(-0.9774) q[5], q[2];\ncrx(0.002) q[5], q[1];\ncrx(0.0026) q[5], q[0];\ncrx(-0.5856) q[4], q[9];\ncrx(-1.0185) q[4], q[8];\ncrx(-1.1726) q[4], q[7];\ncrx(-0.0037) q[4], q[6];\ncrx(0.0024) q[4], q[5];\ncrx(-0.188) q[4], q[3];\ncrx(-0.9774) q[4], q[2];\ncrx(0.002) q[4], q[1];\ncrx(0.0026) q[4], q[0];\ncrx(-0.5856) q[3], q[9];\ncrx(-1.0185) q[3], q[8];\ncrx(-1.1726) q[3], q[7];\ncrx(-0.0037) q[3], q[6];\ncrx(0.0024) q[3], q[5];\ncrx(-0.0017) q[3], q[4];\ncrx(-0.9774) q[3], q[2];\ncrx(0.002) q[3], q[1];\ncrx(0.0026) q[3], q[0];\ncrx(-0.5856) q[2], q[9];\ncrx(-1.0185) q[2], q[8];\ncrx(-1.1726) q[2], q[7];\ncrx(-0.0037) q[2], q[6];\ncrx(0.0024) q[2], q[5];\ncrx(-0.0017) q[2], q[4];\ncrx(-0.188) q[2], q[3];\ncrx(0.002) q[2], q[1];\ncrx(0.0026) q[2], q[0];\ncrx(-0.5856) q[1], q[9];\ncrx(-1.0185) q[1], q[8];\ncrx(-1.1726) q[1], q[7];\ncrx(-0.0037) q[1], q[6];\ncrx(0.0024) q[1], q[5];\ncrx(-0.0017) q[1], q[4];\ncrx(-0.188) q[1], q[3];\ncrx(-0.9774) q[1], q[2];\ncrx(0.0026) q[1], q[0];\ncrx(-0.5856) q[0], q[9];\ncrx(-1.0185) q[0], q[8];\ncrx(-1.1726) q[0], q[7];\ncrx(-0.0037) q[0], q[6];\ncrx(0.0024) q[0], q[5];\ncrx(-0.0017) q[0], q[4];\ncrx(-0.188) q[0], q[3];\ncrx(-0.9774) q[0], q[2];\ncrx(0.002) q[0], q[1];\nrx(0.001) q[0];\nrz(1.2391) q[0];\nrx(-0.0017) q[1];\nrz(0.9359) q[1];\nrx(-0.1843) q[2];\nrz(0.2685) q[2];\nrx(-0.2057) q[3];\nrz(1.4159) q[3];\nrx(0.0051) q[4];\nrz(1.2195) q[4];\nrx(-0.0054) q[5];\nrz(1.0251) q[5];\nrx(-0.0032) q[6];\nrz(0.6431) q[6];\nrx(-0.3177) q[7];\nrz(0.6705) q[7];\nrx(-0.3565) q[8];\nrz(0.9401) q[8];\nrx(-0.4279) q[9];\nrz(1.1166) q[9];\nrx(0.0055) q[0];\nrz(0.8639) q[0];\nrx(0.0118) q[1];\nrz(0.8543) q[1];\nrx(-0.0727) q[2];\nrz(0.14) q[2];\nrx(0.1611) q[3];\nrz(1.2387) q[3];\nrx(-0.0143) q[4];\nrz(0.7694) q[4];\nrx(0.0163) q[5];\nrz(0.7884) q[5];\nrx(0.0006) q[6];\nrz(0.2932) q[6];\nrx(0.0331) q[7];\nrz(0.7423) q[7];\nrx(0.1604) q[8];\nrz(0.6903) q[8];\nrx(0.3622) q[9];\nrz(0.498) q[9];\ncrx(-0.4188) q[9], q[8];\ncrx(-0.3877) q[9], q[7];\ncrx(0.003) q[9], q[6];\ncrx(0.0022) q[9], q[5];\ncrx(-0.0006) q[9], q[4];\ncrx(-0.0169) q[9], q[3];\ncrx(-0.3502) q[9], q[2];\ncrx(0.0044) q[9], q[1];\ncrx(0.0017) q[9], q[0];\ncrx(-0.3599) q[8], q[9];\ncrx(-0.3877) q[8], q[7];\ncrx(0.003) q[8], q[6];\ncrx(0.0022) q[8], q[5];\ncrx(-0.0006) q[8], q[4];\ncrx(-0.0169) q[8], q[3];\ncrx(-0.3502) q[8], q[2];\ncrx(0.0044) q[8], q[1];\ncrx(0.0017) q[8], q[0];\ncrx(-0.3599) q[7], q[9];\ncrx(-0.4188) q[7], q[8];\ncrx(0.003) q[7], q[6];\ncrx(0.0022) q[7], q[5];\ncrx(-0.0006) q[7], q[4];\ncrx(-0.0169) q[7], q[3];\ncrx(-0.3502) q[7], q[2];\ncrx(0.0044) q[7], q[1];\ncrx(0.0017) q[7], q[0];\ncrx(-0.3599) q[6], q[9];\ncrx(-0.4188) q[6], q[8];\ncrx(-0.3877) q[6], q[7];\ncrx(0.0022) q[6], q[5];\ncrx(-0.0006) q[6], q[4];\ncrx(-0.0169) q[6], q[3];\ncrx(-0.3502) q[6], q[2];\ncrx(0.0044) q[6], q[1];\ncrx(0.0017) q[6], q[0];\ncrx(-0.3599) q[5], q[9];\ncrx(-0.4188) q[5], q[8];\ncrx(-0.3877) q[5], q[7];\ncrx(0.003) q[5], q[6];\ncrx(-0.0006) q[5], q[4];\ncrx(-0.0169) q[5], q[3];\ncrx(-0.3502) q[5], q[2];\ncrx(0.0044) q[5], q[1];\ncrx(0.0017) q[5], q[0];\ncrx(-0.3599) q[4], q[9];\ncrx(-0.4188) q[4], q[8];\ncrx(-0.3877) q[4], q[7];\ncrx(0.003) q[4], q[6];\ncrx(0.0022) q[4], q[5];\ncrx(-0.0169) q[4], q[3];\ncrx(-0.3502) q[4], q[2];\ncrx(0.0044) q[4], q[1];\ncrx(0.0017) q[4], q[0];\ncrx(-0.3599) q[3], q[9];\ncrx(-0.4188) q[3], q[8];\ncrx(-0.3877) q[3], q[7];\ncrx(0.003) q[3], q[6];\ncrx(0.0022) q[3], q[5];\ncrx(-0.0006) q[3], q[4];\ncrx(-0.3502) q[3], q[2];\ncrx(0.0044) q[3], q[1];\ncrx(0.0017) q[3], q[0];\ncrx(-0.3599) q[2], q[9];\ncrx(-0.4188) q[2], q[8];\ncrx(-0.3877) q[2], q[7];\ncrx(0.003) q[2], q[6];\ncrx(0.0022) q[2], q[5];\ncrx(-0.0006) q[2], q[4];\ncrx(-0.0169) q[2], q[3];\ncrx(0.0044) q[2], q[1];\ncrx(0.0017) q[2], q[0];\ncrx(-0.3599) q[1], q[9];\ncrx(-0.4188) q[1], q[8];\ncrx(-0.3877) q[1], q[7];\ncrx(0.003) q[1], q[6];\ncrx(0.0022) q[1], q[5];\ncrx(-0.0006) q[1], q[4];\ncrx(-0.0169) q[1], q[3];\ncrx(-0.3502) q[1], q[2];\ncrx(0.0017) q[1], q[0];\ncrx(-0.3599) q[0], q[9];\ncrx(-0.4188) q[0], q[8];\ncrx(-0.3877) q[0], q[7];\ncrx(0.003) q[0], q[6];\ncrx(0.0022) q[0], q[5];\ncrx(-0.0006) q[0], q[4];\ncrx(-0.0169) q[0], q[3];\ncrx(-0.3502) q[0], q[2];\ncrx(0.0044) q[0], q[1];\nrx(0.0014) q[0];\nrz(0.0002) q[0];\nrx(-0.0038) q[1];\nrz(0.0062) q[1];\nrx(0.2445) q[2];\nrz(0.008) q[2];\nrx(-0.0814) q[3];\nrz(0.0084) q[3];\nrx(0.0055) q[4];\nrz(0.0053) q[4];\nrx(-0.0056) q[5];\nrz(0.0025) q[5];\nrx(0.0022) q[6];\nrz(0.0083) q[6];\nrx(0.4177) q[7];\nrz(0.0099) q[7];\nrx(0.3953) q[8];\nrz(0.0076) q[8];\nrx(0.3306) q[9];\nrz(0.0048) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nrx(x46) q[8];\nrz(x47) q[8];\nrx(x48) q[9];\nrz(x49) q[9];\nrx(x30) q[0];\nrz(x50) q[0];\nrx(x51) q[1];\nrz(x52) q[1];\nrx(x53) q[2];\nrz(x54) q[2];\nrx(x55) q[3];\nrz(x56) q[3];\nrx(x57) q[4];\nrz(x58) q[4];\nrx(x8) q[5];\nrz(x59) q[5];\nrx(x60) q[6];\nrz(x61) q[6];\nrx(x62) q[7];\nrz(x63) q[7];\nrx(x64) q[8];\nrz(x65) q[8];\nrx(x66) q[9];\nrz(x67) q[9];\ncrx(x68) q[9], q[8];\ncrx(x69) q[9], q[7];\ncrx(x70) q[9], q[6];\ncrx(x71) q[9], q[5];\ncrx(x72) q[9], q[4];\ncrx(x73) q[9], q[3];\ncrx(x74) q[9], q[2];\ncrx(x75) q[9], q[1];\ncrx(x76) q[9], q[0];\ncrx(x77) q[8], q[9];\ncrx(x69) q[8], q[7];\ncrx(x70) q[8], q[6];\ncrx(x71) q[8], q[5];\ncrx(x72) q[8], q[4];\ncrx(x73) q[8], q[3];\ncrx(x74) q[8], q[2];\ncrx(x75) q[8], q[1];\ncrx(x76) q[8], q[0];\ncrx(x77) q[7], q[9];\ncrx(x68) q[7], q[8];\ncrx(x70) q[7], q[6];\ncrx(x71) q[7], q[5];\ncrx(x72) q[7], q[4];\ncrx(x73) q[7], q[3];\ncrx(x74) q[7], q[2];\ncrx(x75) q[7], q[1];\ncrx(x76) q[7], q[0];\ncrx(x77) q[6], q[9];\ncrx(x68) q[6], q[8];\ncrx(x69) q[6], q[7];\ncrx(x71) q[6], q[5];\ncrx(x72) q[6], q[4];\ncrx(x73) q[6], q[3];\ncrx(x74) q[6], q[2];\ncrx(x75) q[6], q[1];\ncrx(x76) q[6], q[0];\ncrx(x77) q[5], q[9];\ncrx(x68) q[5], q[8];\ncrx(x69) q[5], q[7];\ncrx(x70) q[5], q[6];\ncrx(x72) q[5], q[4];\ncrx(x73) q[5], q[3];\ncrx(x74) q[5], q[2];\ncrx(x75) q[5], q[1];\ncrx(x76) q[5], q[0];\ncrx(x77) q[4], q[9];\ncrx(x68) q[4], q[8];\ncrx(x69) q[4], q[7];\ncrx(x70) q[4], q[6];\ncrx(x71) q[4], q[5];\ncrx(x73) q[4], q[3];\ncrx(x74) q[4], q[2];\ncrx(x75) q[4], q[1];\ncrx(x76) q[4], q[0];\ncrx(x77) q[3], q[9];\ncrx(x68) q[3], q[8];\ncrx(x69) q[3], q[7];\ncrx(x70) q[3], q[6];\ncrx(x71) q[3], q[5];\ncrx(x72) q[3], q[4];\ncrx(x74) q[3], q[2];\ncrx(x75) q[3], q[1];\ncrx(x76) q[3], q[0];\ncrx(x77) q[2], q[9];\ncrx(x68) q[2], q[8];\ncrx(x69) q[2], q[7];\ncrx(x70) q[2], q[6];\ncrx(x71) q[2], q[5];\ncrx(x72) q[2], q[4];\ncrx(x73) q[2], q[3];\ncrx(x75) q[2], q[1];\ncrx(x76) q[2], q[0];\ncrx(x77) q[1], q[9];\ncrx(x68) q[1], q[8];\ncrx(x69) q[1], q[7];\ncrx(x70) q[1], q[6];\ncrx(x71) q[1], q[5];\ncrx(x72) q[1], q[4];\ncrx(x73) q[1], q[3];\ncrx(x74) q[1], q[2];\ncrx(x76) q[1], q[0];\ncrx(x77) q[0], q[9];\ncrx(x68) q[0], q[8];\ncrx(x69) q[0], q[7];\ncrx(x70) q[0], q[6];\ncrx(x71) q[0], q[5];\ncrx(x72) q[0], q[4];\ncrx(x73) q[0], q[3];\ncrx(x74) q[0], q[2];\ncrx(x75) q[0], q[1];\nrx(x78) q[0];\nrz(x79) q[0];\nrx(x72) q[1];\nrz(x80) q[1];\nrx(x81) q[2];\nrz(x82) q[2];\nrx(x83) q[3];\nrz(x84) q[3];\nrx(x85) q[4];\nrz(x86) q[4];\nrx(x87) q[5];\nrz(x88) q[5];\nrx(x30) q[6];\nrz(x89) q[6];\nrx(x90) q[7];\nrz(x91) q[7];\nrx(x92) q[8];\nrz(x93) q[8];\nrx(x94) q[9];\nrz(x95) q[9];\nrx(x96) q[0];\nrz(x97) q[0];\nrx(x98) q[1];\nrz(x99) q[1];\nrx(x100) q[2];\nrz(x101) q[2];\nrx(x102) q[3];\nrz(x103) q[3];\nrx(x104) q[4];\nrz(x105) q[4];\nrx(x106) q[5];\nrz(x107) q[5];\nrx(x108) q[6];\nrz(x109) q[6];\nrx(x110) q[7];\nrz(x111) q[7];\nrx(x112) q[8];\nrz(x113) q[8];\nrx(x114) q[9];\nrz(x115) q[9];\ncrx(x116) q[9], q[8];\ncrx(x117) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x118) q[9], q[5];\ncrx(x119) q[9], q[4];\ncrx(x120) q[9], q[3];\ncrx(x121) q[9], q[2];\ncrx(x122) q[9], q[1];\ncrx(x123) q[9], q[0];\ncrx(x124) q[8], q[9];\ncrx(x117) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x118) q[8], q[5];\ncrx(x119) q[8], q[4];\ncrx(x120) q[8], q[3];\ncrx(x121) q[8], q[2];\ncrx(x122) q[8], q[1];\ncrx(x123) q[8], q[0];\ncrx(x124) q[7], q[9];\ncrx(x116) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x118) q[7], q[5];\ncrx(x119) q[7], q[4];\ncrx(x120) q[7], q[3];\ncrx(x121) q[7], q[2];\ncrx(x122) q[7], q[1];\ncrx(x123) q[7], q[0];\ncrx(x124) q[6], q[9];\ncrx(x116) q[6], q[8];\ncrx(x117) q[6], q[7];\ncrx(x118) q[6], q[5];\ncrx(x119) q[6], q[4];\ncrx(x120) q[6], q[3];\ncrx(x121) q[6], q[2];\ncrx(x122) q[6], q[1];\ncrx(x123) q[6], q[0];\ncrx(x124) q[5], q[9];\ncrx(x116) q[5], q[8];\ncrx(x117) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x119) q[5], q[4];\ncrx(x120) q[5], q[3];\ncrx(x121) q[5], q[2];\ncrx(x122) q[5], q[1];\ncrx(x123) q[5], q[0];\ncrx(x124) q[4], q[9];\ncrx(x116) q[4], q[8];\ncrx(x117) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x118) q[4], q[5];\ncrx(x120) q[4], q[3];\ncrx(x121) q[4], q[2];\ncrx(x122) q[4], q[1];\ncrx(x123) q[4], q[0];\ncrx(x124) q[3], q[9];\ncrx(x116) q[3], q[8];\ncrx(x117) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x118) q[3], q[5];\ncrx(x119) q[3], q[4];\ncrx(x121) q[3], q[2];\ncrx(x122) q[3], q[1];\ncrx(x123) q[3], q[0];\ncrx(x124) q[2], q[9];\ncrx(x116) q[2], q[8];\ncrx(x117) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x118) q[2], q[5];\ncrx(x119) q[2], q[4];\ncrx(x120) q[2], q[3];\ncrx(x122) q[2], q[1];\ncrx(x123) q[2], q[0];\ncrx(x124) q[1], q[9];\ncrx(x116) q[1], q[8];\ncrx(x117) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x118) q[1], q[5];\ncrx(x119) q[1], q[4];\ncrx(x120) q[1], q[3];\ncrx(x121) q[1], q[2];\ncrx(x123) q[1], q[0];\ncrx(x124) q[0], q[9];\ncrx(x116) q[0], q[8];\ncrx(x117) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x118) q[0], q[5];\ncrx(x119) q[0], q[4];\ncrx(x120) q[0], q[3];\ncrx(x121) q[0], q[2];\ncrx(x122) q[0], q[1];\nrx(x125) q[0];\nrz(x24) q[0];\nrx(x126) q[1];\nrz(x127) q[1];\nrx(x128) q[2];\nrz(x129) q[2];\nrx(x130) q[3];\nrz(x131) q[3];\nrx(x96) q[4];\nrz(x132) q[4];\nrx(x133) q[5];\nrz(x134) q[5];\nrx(x118) q[6];\nrz(x135) q[6];\nrx(x136) q[7];\nrz(x137) q[7];\nrx(x138) q[8];\nrz(x139) q[8];\nrx(x140) q[9];\nrz(x141) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 6}","{\"circuits\": [], \"gradients\": []}"]
["9e72b7dd0d69a46b7f007aaed5517323","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 5}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 5, \"target\": 3}]}","{\"states\": [6, 7], \"expectation_value\": -1.4081322267216783, \"params\": [[[0.5144000000000001, 0.2364], [0.5969, -0.19970000000000002], [0.5987, -0.19790000000000002], [0.9882000000000001, -0.0012000000000000001], [0.9828, 0.0016], [0.7934, -0.0051]], [[0.5167, 0.0018000000000000002], [0.5971000000000001, 0.0002], [0.6017, 0.0], [0.9893000000000001, 0.0027], [0.9869, 0.009600000000000001], [0.7945, 0.0058000000000000005]]], \"bitstrings\": [\"111001\", \"111000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.08507536564638593, 0.08803750444099374], \"optimization_time\": 2.7539544105529785}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * (Z(3) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.25 * Z(4) + -0.5 * Z(5) + -0.25 * Z(3)",1,6,2,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.5144) q[0];\nrz(0.2364) q[0];\nrx(0.5969) q[1];\nrz(-0.1997) q[1];\nrx(0.5987) q[2];\nrz(-0.1979) q[2];\nrx(0.9882) q[3];\nrz(-0.0012) q[3];\nrx(0.9828) q[4];\nrz(0.0016) q[4];\nrx(0.7934) q[5];\nrz(-0.0051) q[5];\nrx(0.5167) q[0];\nrz(0.0018) q[0];\nrx(0.5971) q[1];\nrz(0.0002) q[1];\nrx(0.6017) q[2];\nrz(0) q[2];\nrx(0.9893) q[3];\nrz(0.0027) q[3];\nrx(0.9869) q[4];\nrz(0.0096) q[4];\nrx(0.7945) q[5];\nrz(0.0058) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[0];\nrz(x13) q[0];\nrx(x14) q[1];\nrz(x15) q[1];\nrx(x16) q[2];\nrz(x17) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\nrx(x20) q[4];\nrz(x21) q[4];\nrx(x22) q[5];\nrz(x23) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["-6663575171690300114","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 5], [0, 2], [3, 4], [2, 6]]}","{\"states\": [101, 105], \"expectation_value\": -0.02099142158588806, \"params\": [[0.056900000000000006], [-0.046400000000000004]], \"bitstrings\": [\"0011010\", \"0010110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008145034636630053, 0.008145034636630053], \"optimization_time\": 0.4224870204925537}","0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"1000111\", \"1101001\", \"0110100\", \"0111000\", \"0010110\", \"1100101\", \"0011010\", \"1001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[5], q[1];\nrz(0.0569) q[1];\ncx q[5], q[1];\ncx q[2], q[0];\nrz(0.0569) q[0];\ncx q[2], q[0];\ncx q[4], q[3];\nrz(0.0569) q[3];\ncx q[4], q[3];\ncx q[2], q[6];\nrz(0.0569) q[6];\ncx q[2], q[6];\nrz(0) q[5];\nrz(0) q[1];\nrz(0) q[2];\nrz(0) q[0];\nrz(0) q[4];\nrz(0) q[3];\nrz(0) q[6];\nh q[0];\nrz(-0.0928) q[0];\nh q[0];\nh q[1];\nrz(-0.0928) q[1];\nh q[1];\nh q[2];\nrz(-0.0928) q[2];\nh q[2];\nh q[3];\nrz(-0.0928) q[3];\nh q[3];\nh q[4];\nrz(-0.0928) q[4];\nh q[4];\nh q[5];\nrz(-0.0928) q[5];\nh q[5];\nh q[6];\nrz(-0.0928) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\nrz(x1) q[5];\nrz(x1) q[1];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[4];\nrz(x1) q[3];\nrz(x1) q[6];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["12625ff7963f220cedd44f15c6035b49","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 5, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 4, \"source\": 3, \"target\": 4}]}","{\"states\": [1762, 1506], \"expectation_value\": -9.2737875103354, \"params\": [[-0.06810000000000001, -0.0483, -0.0538], [0.0784, 0.0719, 0.07540000000000001]], \"bitstrings\": [\"1100100011101\", \"1101000011101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0006774556278783762, 0.0006774556278783766], \"optimization_time\": 23.277343034744263}","-1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(0) @ Z(3)) + 1.0 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(8)) + 1.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(9)) + 0.25 * (Z(1) @ Z(0)) + -0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(8)) + -1.0 * (Z(10) @ Z(3)) + -1.0 * (Z(10) @ Z(4)) + 0.5 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(1)) + -1.0 * (Z(11) @ Z(2)) + 1.0 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(3)) + -2.0 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(9)) + -1.0 * (Z(11) @ Z(0)) + -1.0 * (Z(11) @ Z(1)) + 1.0 * (Z(11) @ Z(10)) + -0.5 * (Z(12) @ Z(2)) + 0.5 * (Z(12) @ Z(8)) + -1.0 * (Z(12) @ Z(3)) + -1.0 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(9)) + -0.5 * (Z(12) @ Z(0)) + -0.5 * (Z(12) @ Z(1)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (Z(12) @ Z(11)) + 2.0 * Z(2) + -2.0 * Z(8) + 4.0 * Z(3) + 4.0 * Z(4) + -2.0 * Z(9) + 5.0 * Z(6) + 2.5 * Z(5) + 5.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + -0.5 * Z(10) + -1.0 * Z(11) + -0.5 * Z(12)",1,13,3,"{\"smallest_eigenvalues\": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], \"number_of_smallest_eigenvalues\": 10, \"first_excited_energy\": -18.75, \"smallest_bitstrings\": [\"1101000011010\", \"1100000000101\", \"1110000010010\", \"1101000011101\", \"1110000010101\", \"1110000001101\", \"1100000000010\", \"1100100011101\", \"1110000001010\", \"1100100011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\ncx q[2], q[8];\nrz(0.1362) q[8];\ncx q[2], q[8];\ncx q[2], q[3];\nrz(-0.2724) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(0.2724) q[3];\ncx q[8], q[3];\ncx q[2], q[4];\nrz(-0.2724) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(0.2724) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(-0.5448) q[4];\ncx q[3], q[4];\ncx q[2], q[9];\nrz(0.1362) q[9];\ncx q[2], q[9];\ncx q[8], q[9];\nrz(-0.1362) q[9];\ncx q[8], q[9];\ncx q[3], q[9];\nrz(0.2724) q[9];\ncx q[3], q[9];\ncx q[4], q[9];\nrz(0.2724) q[9];\ncx q[4], q[9];\ncx q[6], q[5];\nrz(-0.1362) q[5];\ncx q[6], q[5];\ncx q[6], q[7];\nrz(-0.2724) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(-0.1362) q[7];\ncx q[5], q[7];\ncx q[2], q[0];\nrz(-0.0681) q[0];\ncx q[2], q[0];\ncx q[8], q[0];\nrz(0.0681) q[0];\ncx q[8], q[0];\ncx q[3], q[0];\nrz(-0.1362) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(-0.1362) q[0];\ncx q[4], q[0];\ncx q[9], q[0];\nrz(0.0681) q[0];\ncx q[9], q[0];\ncx q[2], q[1];\nrz(-0.0681) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(0.0681) q[1];\ncx q[8], q[1];\ncx q[3], q[1];\nrz(-0.1362) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.1362) q[1];\ncx q[4], q[1];\ncx q[9], q[1];\nrz(0.0681) q[1];\ncx q[9], q[1];\ncx q[0], q[1];\nrz(-0.0341) q[1];\ncx q[0], q[1];\ncx q[2], q[10];\nrz(0.0681) q[10];\ncx q[2], q[10];\ncx q[8], q[10];\nrz(-0.0681) q[10];\ncx q[8], q[10];\ncx q[3], q[10];\nrz(0.1362) q[10];\ncx q[3], q[10];\ncx q[4], q[10];\nrz(0.1362) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(-0.0681) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(0.0681) q[10];\ncx q[0], q[10];\ncx q[1], q[10];\nrz(0.0681) q[10];\ncx q[1], q[10];\ncx q[2], q[11];\nrz(0.1362) q[11];\ncx q[2], q[11];\ncx q[8], q[11];\nrz(-0.1362) q[11];\ncx q[8], q[11];\ncx q[3], q[11];\nrz(0.2724) q[11];\ncx q[3], q[11];\ncx q[4], q[11];\nrz(0.2724) q[11];\ncx q[4], q[11];\ncx q[9], q[11];\nrz(-0.1362) q[11];\ncx q[9], q[11];\ncx q[0], q[11];\nrz(0.1362) q[11];\ncx q[0], q[11];\ncx q[1], q[11];\nrz(0.1362) q[11];\ncx q[1], q[11];\ncx q[10], q[11];\nrz(-0.1362) q[11];\ncx q[10], q[11];\ncx q[2], q[12];\nrz(0.0681) q[12];\ncx q[2], q[12];\ncx q[8], q[12];\nrz(-0.0681) q[12];\ncx q[8], q[12];\ncx q[3], q[12];\nrz(0.1362) q[12];\ncx q[3], q[12];\ncx q[4], q[12];\nrz(0.1362) q[12];\ncx q[4], q[12];\ncx q[9], q[12];\nrz(-0.0681) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(0.0681) q[12];\ncx q[0], q[12];\ncx q[1], q[12];\nrz(0.0681) q[12];\ncx q[1], q[12];\ncx q[10], q[12];\nrz(-0.0681) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(-0.1362) q[12];\ncx q[11], q[12];\nrz(-0.2724) q[2];\nrz(0.2724) q[8];\nrz(-0.5448) q[3];\nrz(-0.5448) q[4];\nrz(0.2724) q[9];\nrz(-0.681) q[6];\nrz(-0.3405) q[5];\nrz(-0.681) q[7];\nrz(0) q[0];\nrz(0) q[1];\nrz(0.0681) q[10];\nrz(0.1362) q[11];\nrz(0.0681) q[12];\nh q[0];\nrz(0.1568) q[0];\nh q[0];\nh q[1];\nrz(0.1568) q[1];\nh q[1];\nh q[2];\nrz(0.1568) q[2];\nh q[2];\nh q[3];\nrz(0.1568) q[3];\nh q[3];\nh q[4];\nrz(0.1568) q[4];\nh q[4];\nh q[5];\nrz(0.1568) q[5];\nh q[5];\nh q[6];\nrz(0.1568) q[6];\nh q[6];\nh q[7];\nrz(0.1568) q[7];\nh q[7];\nh q[8];\nrz(0.1568) q[8];\nh q[8];\nh q[9];\nrz(0.1568) q[9];\nh q[9];\nh q[10];\nrz(0.1568) q[10];\nh q[10];\nh q[11];\nrz(0.1568) q[11];\nh q[11];\nh q[12];\nrz(0.1568) q[12];\nh q[12];\ncx q[2], q[8];\nrz(0.0966) q[8];\ncx q[2], q[8];\ncx q[2], q[3];\nrz(-0.1932) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(0.1932) q[3];\ncx q[8], q[3];\ncx q[2], q[4];\nrz(-0.1932) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(0.1932) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(-0.3864) q[4];\ncx q[3], q[4];\ncx q[2], q[9];\nrz(0.0966) q[9];\ncx q[2], q[9];\ncx q[8], q[9];\nrz(-0.0966) q[9];\ncx q[8], q[9];\ncx q[3], q[9];\nrz(0.1932) q[9];\ncx q[3], q[9];\ncx q[4], q[9];\nrz(0.1932) q[9];\ncx q[4], q[9];\ncx q[6], q[5];\nrz(-0.0966) q[5];\ncx q[6], q[5];\ncx q[6], q[7];\nrz(-0.1932) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(-0.0966) q[7];\ncx q[5], q[7];\ncx q[2], q[0];\nrz(-0.0483) q[0];\ncx q[2], q[0];\ncx q[8], q[0];\nrz(0.0483) q[0];\ncx q[8], q[0];\ncx q[3], q[0];\nrz(-0.0966) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(-0.0966) q[0];\ncx q[4], q[0];\ncx q[9], q[0];\nrz(0.0483) q[0];\ncx q[9], q[0];\ncx q[2], q[1];\nrz(-0.0483) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(0.0483) q[1];\ncx q[8], q[1];\ncx q[3], q[1];\nrz(-0.0966) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.0966) q[1];\ncx q[4], q[1];\ncx q[9], q[1];\nrz(0.0483) q[1];\ncx q[9], q[1];\ncx q[0], q[1];\nrz(-0.0242) q[1];\ncx q[0], q[1];\ncx q[2], q[10];\nrz(0.0483) q[10];\ncx q[2], q[10];\ncx q[8], q[10];\nrz(-0.0483) q[10];\ncx q[8], q[10];\ncx q[3], q[10];\nrz(0.0966) q[10];\ncx q[3], q[10];\ncx q[4], q[10];\nrz(0.0966) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(-0.0483) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(0.0483) q[10];\ncx q[0], q[10];\ncx q[1], q[10];\nrz(0.0483) q[10];\ncx q[1], q[10];\ncx q[2], q[11];\nrz(0.0966) q[11];\ncx q[2], q[11];\ncx q[8], q[11];\nrz(-0.0966) q[11];\ncx q[8], q[11];\ncx q[3], q[11];\nrz(0.1932) q[11];\ncx q[3], q[11];\ncx q[4], q[11];\nrz(0.1932) q[11];\ncx q[4], q[11];\ncx q[9], q[11];\nrz(-0.0966) q[11];\ncx q[9], q[11];\ncx q[0], q[11];\nrz(0.0966) q[11];\ncx q[0], q[11];\ncx q[1], q[11];\nrz(0.0966) q[11];\ncx q[1], q[11];\ncx q[10], q[11];\nrz(-0.0966) q[11];\ncx q[10], q[11];\ncx q[2], q[12];\nrz(0.0483) q[12];\ncx q[2], q[12];\ncx q[8], q[12];\nrz(-0.0483) q[12];\ncx q[8], q[12];\ncx q[3], q[12];\nrz(0.0966) q[12];\ncx q[3], q[12];\ncx q[4], q[12];\nrz(0.0966) q[12];\ncx q[4], q[12];\ncx q[9], q[12];\nrz(-0.0483) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(0.0483) q[12];\ncx q[0], q[12];\ncx q[1], q[12];\nrz(0.0483) q[12];\ncx q[1], q[12];\ncx q[10], q[12];\nrz(-0.0483) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(-0.0966) q[12];\ncx q[11], q[12];\nrz(-0.1932) q[2];\nrz(0.1932) q[8];\nrz(-0.3864) q[3];\nrz(-0.3864) q[4];\nrz(0.1932) q[9];\nrz(-0.483) q[6];\nrz(-0.2415) q[5];\nrz(-0.483) q[7];\nrz(0) q[0];\nrz(0) q[1];\nrz(0.0483) q[10];\nrz(0.0966) q[11];\nrz(0.0483) q[12];\nh q[0];\nrz(0.1438) q[0];\nh q[0];\nh q[1];\nrz(0.1438) q[1];\nh q[1];\nh q[2];\nrz(0.1438) q[2];\nh q[2];\nh q[3];\nrz(0.1438) q[3];\nh q[3];\nh q[4];\nrz(0.1438) q[4];\nh q[4];\nh q[5];\nrz(0.1438) q[5];\nh q[5];\nh q[6];\nrz(0.1438) q[6];\nh q[6];\nh q[7];\nrz(0.1438) q[7];\nh q[7];\nh q[8];\nrz(0.1438) q[8];\nh q[8];\nh q[9];\nrz(0.1438) q[9];\nh q[9];\nh q[10];\nrz(0.1438) q[10];\nh q[10];\nh q[11];\nrz(0.1438) q[11];\nh q[11];\nh q[12];\nrz(0.1438) q[12];\nh q[12];\ncx q[2], q[8];\nrz(0.1076) q[8];\ncx q[2], q[8];\ncx q[2], q[3];\nrz(-0.2152) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(0.2152) q[3];\ncx q[8], q[3];\ncx q[2], q[4];\nrz(-0.2152) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(0.2152) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(-0.4304) q[4];\ncx q[3], q[4];\ncx q[2], q[9];\nrz(0.1076) q[9];\ncx q[2], q[9];\ncx q[8], q[9];\nrz(-0.1076) q[9];\ncx q[8], q[9];\ncx q[3], q[9];\nrz(0.2152) q[9];\ncx q[3], q[9];\ncx q[4], q[9];\nrz(0.2152) q[9];\ncx q[4], q[9];\ncx q[6], q[5];\nrz(-0.1076) q[5];\ncx q[6], q[5];\ncx q[6], q[7];\nrz(-0.2152) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(-0.1076) q[7];\ncx q[5], q[7];\ncx q[2], q[0];\nrz(-0.0538) q[0];\ncx q[2], q[0];\ncx q[8], q[0];\nrz(0.0538) q[0];\ncx q[8], q[0];\ncx q[3], q[0];\nrz(-0.1076) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(-0.1076) q[0];\ncx q[4], q[0];\ncx q[9], q[0];\nrz(0.0538) q[0];\ncx q[9], q[0];\ncx q[2], q[1];\nrz(-0.0538) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(0.0538) q[1];\ncx q[8], q[1];\ncx q[3], q[1];\nrz(-0.1076) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.1076) q[1];\ncx q[4], q[1];\ncx q[9], q[1];\nrz(0.0538) q[1];\ncx q[9], q[1];\ncx q[0], q[1];\nrz(-0.0269) q[1];\ncx q[0], q[1];\ncx q[2], q[10];\nrz(0.0538) q[10];\ncx q[2], q[10];\ncx q[8], q[10];\nrz(-0.0538) q[10];\ncx q[8], q[10];\ncx q[3], q[10];\nrz(0.1076) q[10];\ncx q[3], q[10];\ncx q[4], q[10];\nrz(0.1076) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(-0.0538) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(0.0538) q[10];\ncx q[0], q[10];\ncx q[1], q[10];\nrz(0.0538) q[10];\ncx q[1], q[10];\ncx q[2], q[11];\nrz(0.1076) q[11];\ncx q[2], q[11];\ncx q[8], q[11];\nrz(-0.1076) q[11];\ncx q[8], q[11];\ncx q[3], q[11];\nrz(0.2152) q[11];\ncx q[3], q[11];\ncx q[4], q[11];\nrz(0.2152) q[11];\ncx q[4], q[11];\ncx q[9], q[11];\nrz(-0.1076) q[11];\ncx q[9], q[11];\ncx q[0], q[11];\nrz(0.1076) q[11];\ncx q[0], q[11];\ncx q[1], q[11];\nrz(0.1076) q[11];\ncx q[1], q[11];\ncx q[10], q[11];\nrz(-0.1076) q[11];\ncx q[10], q[11];\ncx q[2], q[12];\nrz(0.0538) q[12];\ncx q[2], q[12];\ncx q[8], q[12];\nrz(-0.0538) q[12];\ncx q[8], q[12];\ncx q[3], q[12];\nrz(0.1076) q[12];\ncx q[3], q[12];\ncx q[4], q[12];\nrz(0.1076) q[12];\ncx q[4], q[12];\ncx q[9], q[12];\nrz(-0.0538) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(0.0538) q[12];\ncx q[0], q[12];\ncx q[1], q[12];\nrz(0.0538) q[12];\ncx q[1], q[12];\ncx q[10], q[12];\nrz(-0.0538) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(-0.1076) q[12];\ncx q[11], q[12];\nrz(-0.2152) q[2];\nrz(0.2152) q[8];\nrz(-0.4304) q[3];\nrz(-0.4304) q[4];\nrz(0.2152) q[9];\nrz(-0.538) q[6];\nrz(-0.269) q[5];\nrz(-0.538) q[7];\nrz(0) q[0];\nrz(0) q[1];\nrz(0.0538) q[10];\nrz(0.1076) q[11];\nrz(0.0538) q[12];\nh q[0];\nrz(0.1508) q[0];\nh q[0];\nh q[1];\nrz(0.1508) q[1];\nh q[1];\nh q[2];\nrz(0.1508) q[2];\nh q[2];\nh q[3];\nrz(0.1508) q[3];\nh q[3];\nh q[4];\nrz(0.1508) q[4];\nh q[4];\nh q[5];\nrz(0.1508) q[5];\nh q[5];\nh q[6];\nrz(0.1508) q[6];\nh q[6];\nh q[7];\nrz(0.1508) q[7];\nh q[7];\nh q[8];\nrz(0.1508) q[8];\nh q[8];\nh q[9];\nrz(0.1508) q[9];\nh q[9];\nh q[10];\nrz(0.1508) q[10];\nh q[10];\nh q[11];\nrz(0.1508) q[11];\nh q[11];\nh q[12];\nrz(0.1508) q[12];\nh q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(x2) q[3];\ncx q[8], q[3];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(x2) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(x3) q[4];\ncx q[3], q[4];\ncx q[2], q[9];\nrz(x0) q[9];\ncx q[2], q[9];\ncx q[8], q[9];\nrz(x4) q[9];\ncx q[8], q[9];\ncx q[3], q[9];\nrz(x2) q[9];\ncx q[3], q[9];\ncx q[4], q[9];\nrz(x2) q[9];\ncx q[4], q[9];\ncx q[6], q[5];\nrz(x4) q[5];\ncx q[6], q[5];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(x4) q[7];\ncx q[5], q[7];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[8], q[0];\nrz(x6) q[0];\ncx q[8], q[0];\ncx q[3], q[0];\nrz(x4) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x4) q[0];\ncx q[4], q[0];\ncx q[9], q[0];\nrz(x6) q[0];\ncx q[9], q[0];\ncx q[2], q[1];\nrz(x5) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(x6) q[1];\ncx q[8], q[1];\ncx q[3], q[1];\nrz(x4) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x4) q[1];\ncx q[4], q[1];\ncx q[9], q[1];\nrz(x6) q[1];\ncx q[9], q[1];\ncx q[0], q[1];\nrz(x7) q[1];\ncx q[0], q[1];\ncx q[2], q[10];\nrz(x6) q[10];\ncx q[2], q[10];\ncx q[8], q[10];\nrz(x5) q[10];\ncx q[8], q[10];\ncx q[3], q[10];\nrz(x0) q[10];\ncx q[3], q[10];\ncx q[4], q[10];\nrz(x0) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(x5) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(x6) q[10];\ncx q[0], q[10];\ncx q[1], q[10];\nrz(x6) q[10];\ncx q[1], q[10];\ncx q[2], q[11];\nrz(x0) q[11];\ncx q[2], q[11];\ncx q[8], q[11];\nrz(x4) q[11];\ncx q[8], q[11];\ncx q[3], q[11];\nrz(x2) q[11];\ncx q[3], q[11];\ncx q[4], q[11];\nrz(x2) q[11];\ncx q[4], q[11];\ncx q[9], q[11];\nrz(x4) q[11];\ncx q[9], q[11];\ncx q[0], q[11];\nrz(x0) q[11];\ncx q[0], q[11];\ncx q[1], q[11];\nrz(x0) q[11];\ncx q[1], q[11];\ncx q[10], q[11];\nrz(x4) q[11];\ncx q[10], q[11];\ncx q[2], q[12];\nrz(x6) q[12];\ncx q[2], q[12];\ncx q[8], q[12];\nrz(x5) q[12];\ncx q[8], q[12];\ncx q[3], q[12];\nrz(x0) q[12];\ncx q[3], q[12];\ncx q[4], q[12];\nrz(x0) q[12];\ncx q[4], q[12];\ncx q[9], q[12];\nrz(x5) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(x6) q[12];\ncx q[0], q[12];\ncx q[1], q[12];\nrz(x6) q[12];\ncx q[1], q[12];\ncx q[10], q[12];\nrz(x5) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(x4) q[12];\ncx q[11], q[12];\nrz(x1) q[2];\nrz(x2) q[8];\nrz(x3) q[3];\nrz(x3) q[4];\nrz(x2) q[9];\nrz(x8) q[6];\nrz(x9) q[5];\nrz(x8) q[7];\nrz(x10) q[0];\nrz(x10) q[1];\nrz(x6) q[10];\nrz(x0) q[11];\nrz(x6) q[12];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\nh q[9];\nrz(x11) q[9];\nh q[9];\nh q[10];\nrz(x11) q[10];\nh q[10];\nh q[11];\nrz(x11) q[11];\nh q[11];\nh q[12];\nrz(x11) q[12];\nh q[12];\ncx q[2], q[8];\nrz(x12) q[8];\ncx q[2], q[8];\ncx q[2], q[3];\nrz(x13) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(x14) q[3];\ncx q[8], q[3];\ncx q[2], q[4];\nrz(x13) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(x14) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(x15) q[4];\ncx q[3], q[4];\ncx q[2], q[9];\nrz(x12) q[9];\ncx q[2], q[9];\ncx q[8], q[9];\nrz(x16) q[9];\ncx q[8], q[9];\ncx q[3], q[9];\nrz(x14) q[9];\ncx q[3], q[9];\ncx q[4], q[9];\nrz(x14) q[9];\ncx q[4], q[9];\ncx q[6], q[5];\nrz(x16) q[5];\ncx q[6], q[5];\ncx q[6], q[7];\nrz(x13) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(x16) q[7];\ncx q[5], q[7];\ncx q[2], q[0];\nrz(x17) q[0];\ncx q[2], q[0];\ncx q[8], q[0];\nrz(x18) q[0];\ncx q[8], q[0];\ncx q[3], q[0];\nrz(x16) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x16) q[0];\ncx q[4], q[0];\ncx q[9], q[0];\nrz(x18) q[0];\ncx q[9], q[0];\ncx q[2], q[1];\nrz(x17) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(x18) q[1];\ncx q[8], q[1];\ncx q[3], q[1];\nrz(x16) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x16) q[1];\ncx q[4], q[1];\ncx q[9], q[1];\nrz(x18) q[1];\ncx q[9], q[1];\ncx q[0], q[1];\nrz(x19) q[1];\ncx q[0], q[1];\ncx q[2], q[10];\nrz(x18) q[10];\ncx q[2], q[10];\ncx q[8], q[10];\nrz(x17) q[10];\ncx q[8], q[10];\ncx q[3], q[10];\nrz(x12) q[10];\ncx q[3], q[10];\ncx q[4], q[10];\nrz(x12) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(x17) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(x18) q[10];\ncx q[0], q[10];\ncx q[1], q[10];\nrz(x18) q[10];\ncx q[1], q[10];\ncx q[2], q[11];\nrz(x12) q[11];\ncx q[2], q[11];\ncx q[8], q[11];\nrz(x16) q[11];\ncx q[8], q[11];\ncx q[3], q[11];\nrz(x14) q[11];\ncx q[3], q[11];\ncx q[4], q[11];\nrz(x14) q[11];\ncx q[4], q[11];\ncx q[9], q[11];\nrz(x16) q[11];\ncx q[9], q[11];\ncx q[0], q[11];\nrz(x12) q[11];\ncx q[0], q[11];\ncx q[1], q[11];\nrz(x12) q[11];\ncx q[1], q[11];\ncx q[10], q[11];\nrz(x16) q[11];\ncx q[10], q[11];\ncx q[2], q[12];\nrz(x18) q[12];\ncx q[2], q[12];\ncx q[8], q[12];\nrz(x17) q[12];\ncx q[8], q[12];\ncx q[3], q[12];\nrz(x12) q[12];\ncx q[3], q[12];\ncx q[4], q[12];\nrz(x12) q[12];\ncx q[4], q[12];\ncx q[9], q[12];\nrz(x17) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(x18) q[12];\ncx q[0], q[12];\ncx q[1], q[12];\nrz(x18) q[12];\ncx q[1], q[12];\ncx q[10], q[12];\nrz(x17) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(x16) q[12];\ncx q[11], q[12];\nrz(x13) q[2];\nrz(x14) q[8];\nrz(x15) q[3];\nrz(x15) q[4];\nrz(x14) q[9];\nrz(x20) q[6];\nrz(x21) q[5];\nrz(x20) q[7];\nrz(x10) q[0];\nrz(x10) q[1];\nrz(x18) q[10];\nrz(x12) q[11];\nrz(x18) q[12];\nh q[0];\nrz(x22) q[0];\nh q[0];\nh q[1];\nrz(x22) q[1];\nh q[1];\nh q[2];\nrz(x22) q[2];\nh q[2];\nh q[3];\nrz(x22) q[3];\nh q[3];\nh q[4];\nrz(x22) q[4];\nh q[4];\nh q[5];\nrz(x22) q[5];\nh q[5];\nh q[6];\nrz(x22) q[6];\nh q[6];\nh q[7];\nrz(x22) q[7];\nh q[7];\nh q[8];\nrz(x22) q[8];\nh q[8];\nh q[9];\nrz(x22) q[9];\nh q[9];\nh q[10];\nrz(x22) q[10];\nh q[10];\nh q[11];\nrz(x22) q[11];\nh q[11];\nh q[12];\nrz(x22) q[12];\nh q[12];\ncx q[2], q[8];\nrz(x23) q[8];\ncx q[2], q[8];\ncx q[2], q[3];\nrz(x24) q[3];\ncx q[2], q[3];\ncx q[8], q[3];\nrz(x25) q[3];\ncx q[8], q[3];\ncx q[2], q[4];\nrz(x24) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(x25) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(x26) q[4];\ncx q[3], q[4];\ncx q[2], q[9];\nrz(x23) q[9];\ncx q[2], q[9];\ncx q[8], q[9];\nrz(x27) q[9];\ncx q[8], q[9];\ncx q[3], q[9];\nrz(x25) q[9];\ncx q[3], q[9];\ncx q[4], q[9];\nrz(x25) q[9];\ncx q[4], q[9];\ncx q[6], q[5];\nrz(x27) q[5];\ncx q[6], q[5];\ncx q[6], q[7];\nrz(x24) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(x27) q[7];\ncx q[5], q[7];\ncx q[2], q[0];\nrz(x28) q[0];\ncx q[2], q[0];\ncx q[8], q[0];\nrz(x29) q[0];\ncx q[8], q[0];\ncx q[3], q[0];\nrz(x27) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x27) q[0];\ncx q[4], q[0];\ncx q[9], q[0];\nrz(x29) q[0];\ncx q[9], q[0];\ncx q[2], q[1];\nrz(x28) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(x29) q[1];\ncx q[8], q[1];\ncx q[3], q[1];\nrz(x27) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x27) q[1];\ncx q[4], q[1];\ncx q[9], q[1];\nrz(x29) q[1];\ncx q[9], q[1];\ncx q[0], q[1];\nrz(x30) q[1];\ncx q[0], q[1];\ncx q[2], q[10];\nrz(x29) q[10];\ncx q[2], q[10];\ncx q[8], q[10];\nrz(x28) q[10];\ncx q[8], q[10];\ncx q[3], q[10];\nrz(x23) q[10];\ncx q[3], q[10];\ncx q[4], q[10];\nrz(x23) q[10];\ncx q[4], q[10];\ncx q[9], q[10];\nrz(x28) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(x29) q[10];\ncx q[0], q[10];\ncx q[1], q[10];\nrz(x29) q[10];\ncx q[1], q[10];\ncx q[2], q[11];\nrz(x23) q[11];\ncx q[2], q[11];\ncx q[8], q[11];\nrz(x27) q[11];\ncx q[8], q[11];\ncx q[3], q[11];\nrz(x25) q[11];\ncx q[3], q[11];\ncx q[4], q[11];\nrz(x25) q[11];\ncx q[4], q[11];\ncx q[9], q[11];\nrz(x27) q[11];\ncx q[9], q[11];\ncx q[0], q[11];\nrz(x23) q[11];\ncx q[0], q[11];\ncx q[1], q[11];\nrz(x23) q[11];\ncx q[1], q[11];\ncx q[10], q[11];\nrz(x27) q[11];\ncx q[10], q[11];\ncx q[2], q[12];\nrz(x29) q[12];\ncx q[2], q[12];\ncx q[8], q[12];\nrz(x28) q[12];\ncx q[8], q[12];\ncx q[3], q[12];\nrz(x23) q[12];\ncx q[3], q[12];\ncx q[4], q[12];\nrz(x23) q[12];\ncx q[4], q[12];\ncx q[9], q[12];\nrz(x28) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(x29) q[12];\ncx q[0], q[12];\ncx q[1], q[12];\nrz(x29) q[12];\ncx q[1], q[12];\ncx q[10], q[12];\nrz(x28) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(x27) q[12];\ncx q[11], q[12];\nrz(x24) q[2];\nrz(x25) q[8];\nrz(x26) q[3];\nrz(x26) q[4];\nrz(x25) q[9];\nrz(x31) q[6];\nrz(x32) q[5];\nrz(x31) q[7];\nrz(x10) q[0];\nrz(x10) q[1];\nrz(x29) q[10];\nrz(x23) q[11];\nrz(x29) q[12];\nh q[0];\nrz(x33) q[0];\nh q[0];\nh q[1];\nrz(x33) q[1];\nh q[1];\nh q[2];\nrz(x33) q[2];\nh q[2];\nh q[3];\nrz(x33) q[3];\nh q[3];\nh q[4];\nrz(x33) q[4];\nh q[4];\nh q[5];\nrz(x33) q[5];\nh q[5];\nh q[6];\nrz(x33) q[6];\nh q[6];\nh q[7];\nrz(x33) q[7];\nh q[7];\nh q[8];\nrz(x33) q[8];\nh q[8];\nh q[9];\nrz(x33) q[9];\nh q[9];\nh q[10];\nrz(x33) q[10];\nh q[10];\nh q[11];\nrz(x33) q[11];\nh q[11];\nh q[12];\nrz(x33) q[12];\nh q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","{\"source\": 0, \"sink\": 4}","{\"circuits\": [], \"gradients\": []}"]
["5889548792366404832","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"hyperedges\": [[8, 10, 5, 6], [1, 2, 12], [9, 3, 6], [1, 10, 5], [8, 11, 12], [0, 2, 3], [9, 2, 3, 1], [2, 11], [0, 12, 6], [0, 9, 2], [1, 10, 12], [8, 4], [6, 7]]}","{\"states\": [1757, 1725], \"expectation_value\": -4.190509266836568, \"params\": [0.0026000000000000003, 0.0027, -0.0179, 0.022500000000000003, 1.6331, 1.5135, 2.5389, 0.6093000000000001, -0.0026000000000000003, -0.0024000000000000002, 1.6106, 1.5216, 2.1237, 2.3185000000000002, 0.4368, -0.201, 1.5732000000000002, 1.5733000000000001, 1.5165000000000002, 1.6215000000000002, 1.5998, 1.5408000000000002, 1.5743, 1.5741, 1.5708, 1.5753000000000001, -0.0022, 1.5919, -2.2447, -0.3201, -0.0026000000000000003, 1.1809, -0.003, 0.0043, -0.0026000000000000003, -0.0029000000000000002, 0.6798000000000001, -0.0027, 0.0659, -0.014, 2.0235000000000003, 0.15760000000000002, 2.4712, -1.1882000000000001, 0.0016, 0.00030000000000000003, -0.006, 0.0047, 0.669, 0.3367, -0.0007, 1.5534000000000001], \"bitstrings\": [\"1100100100010\", \"1100101000010\"], \"total_optimization_steps\": 510, \"probabilities\": [0.487884600002083, 0.4922544891730021], \"optimization_time\": 39.05876326560974}","0.08333333333333333 * (Z(8) @ Z(10)) + 0.25 * (Z(5) @ Z(10)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(12) @ Z(10)) + 0.16666666666666666 * (Z(12) @ Z(8)) + 0.16666666666666666 * (Z(12) @ Z(6)) + 0.3333333333333333 * (Z(12) @ Z(1)) + 0.16666666666666666 * (Z(12) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(6)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.25 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(2)) + 0.16666666666666666 * (Z(11) @ Z(12)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(12)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.45833333333333337 * Z(10) + 0.29166666666666663 * Z(8) + 0.29166666666666663 * Z(5) + 0.45833333333333326 * Z(6) + 0.6249999999999998 * Z(1) + 0.6249999999999998 * Z(2) + 0.6666666666666666 * Z(12) + 0.45833333333333337 * Z(9) + 0.4583333333333333 * Z(3) + 0.16666666666666663 * Z(11) + 0.4999999999999999 * Z(0) + 0.0 * Z(4) + 0.0 * Z(7)",14,13,1,"{\"smallest_eigenvalues\": [-4.333333333333333], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.249999999999999, \"smallest_bitstrings\": [\"1100101000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(0.0026) q[0];\nry(-0.0179) q[1];\nry(1.6331) q[2];\nry(2.5389) q[3];\nry(-0.0026) q[4];\nry(1.6106) q[5];\nry(2.1237) q[6];\nry(0.4368) q[7];\nry(1.5732) q[8];\nry(1.5165) q[9];\nry(1.5998) q[10];\nry(1.5743) q[11];\nry(1.5708) q[12];\ncrx(-0.0022) q[12], q[0];\ncrx(-0.0007) q[11], q[12];\ncrx(0.669) q[10], q[11];\ncrx(-0.006) q[9], q[10];\ncrx(0.0016) q[8], q[9];\ncrx(2.4712) q[7], q[8];\ncrx(2.0235) q[6], q[7];\ncrx(0.0659) q[5], q[6];\ncrx(0.6798) q[4], q[5];\ncrx(-0.0026) q[3], q[4];\ncrx(-0.003) q[2], q[3];\ncrx(-0.0026) q[1], q[2];\ncrx(-2.2447) q[0], q[1];\nry(0.0027) q[0];\nry(0.0225) q[1];\nry(1.5135) q[2];\nry(0.6093) q[3];\nry(-0.0024) q[4];\nry(1.5216) q[5];\nry(2.3185) q[6];\nry(-0.201) q[7];\nry(1.5733) q[8];\nry(1.6215) q[9];\nry(1.5408) q[10];\nry(1.5741) q[11];\nry(1.5753) q[12];\ncrx(1.5919) q[12], q[11];\ncrx(-0.3201) q[0], q[12];\ncrx(1.1809) q[0], q[1];\ncrx(0.0043) q[1], q[2];\ncrx(-0.0029) q[2], q[3];\ncrx(-0.0027) q[3], q[4];\ncrx(-0.014) q[4], q[5];\ncrx(0.1576) q[5], q[6];\ncrx(-1.1882) q[6], q[7];\ncrx(0.0003) q[7], q[8];\ncrx(0.0047) q[8], q[9];\ncrx(0.3367) q[9], q[10];\ncrx(1.5534) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\ncrx(x13) q[12], q[0];\ncrx(x14) q[11], q[12];\ncrx(x15) q[10], q[11];\ncrx(x16) q[9], q[10];\ncrx(x17) q[8], q[9];\ncrx(x18) q[7], q[8];\ncrx(x19) q[6], q[7];\ncrx(x20) q[5], q[6];\ncrx(x21) q[4], q[5];\ncrx(x4) q[3], q[4];\ncrx(x22) q[2], q[3];\ncrx(x4) q[1], q[2];\ncrx(x23) q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x32) q[8];\nry(x33) q[9];\nry(x34) q[10];\nry(x35) q[11];\nry(x36) q[12];\ncrx(x37) q[12], q[11];\ncrx(x38) q[0], q[12];\ncrx(x39) q[0], q[1];\ncrx(x40) q[1], q[2];\ncrx(x41) q[2], q[3];\ncrx(x42) q[3], q[4];\ncrx(x43) q[4], q[5];\ncrx(x44) q[5], q[6];\ncrx(x45) q[6], q[7];\ncrx(x46) q[7], q[8];\ncrx(x47) q[8], q[9];\ncrx(x48) q[9], q[10];\ncrx(x49) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"circuits\": [], \"gradients\": []}"]
["-3150591911711143831","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[1, 4, 5], [0, 2, 5], [2, 6, 7, 8, 9], [3, 4, 5, 7, 8], [1, 2, 4, 9], [2, 3, 4, 7, 8], [3, 10, 2], [1, 3, 9], [1, 10, 6], [8, 1, 2, 7], [0, 6, 7], [1, 3, 5, 6, 7], [8, 1, 10, 5], [8, 2, 10, 7], [2, 5, 7, 9, 10], [2, 5, 6], [9, 3, 6, 7], [8, 0, 3, 7], [8, 0, 3, 1], [8, 10, 6], [0, 8, 4], [2, 10, 6, 7], [0, 5, 6, 9, 10], [1, 2, 3, 7], [9, 3, 4], [8, 1, 3, 6], [1, 2, 3, 6], [1, 10, 7]]}","{\"states\": [862, 1886], \"expectation_value\": -5.817770449926715, \"params\": [[[1.6437000000000002, -1.5015, 0.0037, 0.0092], [0.0024000000000000002, -1.5014, 0.0024000000000000002, 0.0067], [1.5682, 0.0028, 1.5734000000000001, 0.003], [2.0106, 0.003, 1.1253, 0.0037], [1.5729, -0.0028, 1.5733000000000001, 0.0064], [1.883, 0.0015, 1.2523, 0.0059], [1.5735000000000001, 0.0027, 1.5735000000000001, 0.0061], [0.0028, -0.6687000000000001, 0.0028, 0.0013000000000000002], [1.5683, 0.0027, 1.5732000000000002, 0.0089], [1.5609000000000002, 0.0022, 1.5758, 0.0034000000000000002], [0.0027, 0.0035, 0.0041, 0.0083]]], \"bitstrings\": [\"10010100001\", \"00010100001\"], \"total_optimization_steps\": 300, \"probabilities\": [0.4635314404675334, 0.5364042066176479], \"optimization_time\": 25.061798810958862}","0.25 * (Z(1) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.3 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3833333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.26666666666666666 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.3833333333333333 * (Z(6) @ Z(2)) + 0.1 * (Z(7) @ Z(4)) + 0.3833333333333333 * (Z(7) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.4833333333333333 * (Z(7) @ Z(2)) + 0.4333333333333333 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.26666666666666666 * (Z(8) @ Z(2)) + 0.3 * (Z(8) @ Z(6)) + 0.39999999999999997 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(4)) + 0.25 * (Z(9) @ Z(1)) + 0.1 * (Z(9) @ Z(5)) + 0.05 * (Z(9) @ Z(0)) + 0.18333333333333335 * (Z(9) @ Z(2)) + 0.18333333333333335 * (Z(9) @ Z(6)) + 0.18333333333333335 * (Z(9) @ Z(7)) + 0.05 * (Z(9) @ Z(8)) + 0.26666666666666666 * (Z(3) @ Z(4)) + 0.5499999999999999 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3833333333333333 * (Z(3) @ Z(2)) + 0.3 * (Z(3) @ Z(6)) + 0.39999999999999997 * (Z(3) @ Z(7)) + 0.35 * (Z(3) @ Z(8)) + 0.41666666666666663 * (Z(3) @ Z(9)) + 0.41666666666666663 * (Z(10) @ Z(1)) + 0.18333333333333335 * (Z(10) @ Z(5)) + 0.05 * (Z(10) @ Z(0)) + 0.3833333333333333 * (Z(10) @ Z(2)) + 0.4666666666666666 * (Z(10) @ Z(6)) + 0.3833333333333333 * (Z(10) @ Z(7)) + 0.3333333333333333 * (Z(10) @ Z(8)) + 0.1 * (Z(10) @ Z(9)) + 0.16666666666666666 * (Z(10) @ Z(3)) + 0.825 * Z(4) + 1.6416666666666666 * Z(1) + 1.025 * Z(5) + 0.8500000000000003 * Z(0) + 1.5499999999999996 * Z(2) + 1.4666666666666668 * Z(6) + 1.5833333333333337 * Z(7) + 1.383333333333333 * Z(8) + 0.8833333333333333 * Z(9) + 1.5499999999999996 * Z(3) + 1.2416666666666663 * Z(10)",11,11,1,"{\"smallest_eigenvalues\": [-5.833333333333332], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.799999999999999, \"smallest_bitstrings\": [\"00010100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(1.6437) q[0];\nrz(-1.5015) q[0];\nry(0.0024) q[1];\nrz(-1.5014) q[1];\nry(1.5682) q[2];\nrz(0.0028) q[2];\nry(2.0106) q[3];\nrz(0.003) q[3];\nry(1.5729) q[4];\nrz(-0.0028) q[4];\nry(1.883) q[5];\nrz(0.0015) q[5];\nry(1.5735) q[6];\nrz(0.0027) q[6];\nry(0.0028) q[7];\nrz(-0.6687) q[7];\nry(1.5683) q[8];\nrz(0.0027) q[8];\nry(1.5609) q[9];\nrz(0.0022) q[9];\nry(0.0027) q[10];\nrz(0.0035) q[10];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(0.0024) q[1];\nrz(0.0067) q[1];\nry(1.5734) q[2];\nrz(0.003) q[2];\ncx q[2], q[1];\nry(1.1253) q[3];\nrz(0.0037) q[3];\nry(1.5733) q[4];\nrz(0.0064) q[4];\ncx q[4], q[3];\nry(1.2523) q[5];\nrz(0.0059) q[5];\nry(1.5735) q[6];\nrz(0.0061) q[6];\ncx q[6], q[5];\nry(0.0028) q[7];\nrz(0.0013) q[7];\nry(1.5732) q[8];\nrz(0.0089) q[8];\ncx q[8], q[7];\nry(1.5758) q[9];\nrz(0.0034) q[9];\ncx q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x5) q[7];\nrz(x14) q[7];\nry(x15) q[8];\nrz(x13) q[8];\nry(x16) q[9];\nrz(x17) q[9];\nry(x13) q[10];\nrz(x18) q[10];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(x2) q[1];\nrz(x19) q[1];\nry(x20) q[2];\nrz(x7) q[2];\ncx q[2], q[1];\nry(x21) q[3];\nrz(x22) q[3];\nry(x23) q[4];\nrz(x24) q[4];\ncx q[4], q[3];\nry(x25) q[5];\nrz(x26) q[5];\nry(x12) q[6];\nrz(x27) q[6];\ncx q[6], q[5];\nry(x5) q[7];\nrz(x28) q[7];\nry(x29) q[8];\nrz(x30) q[8];\ncx q[8], q[7];\nry(x31) q[9];\nrz(x32) q[9];\ncx q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["629064d27778679294f16fb68c627d78","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 1, \"source\": 6, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 4}]}","{\"states\": [128, 127], \"expectation_value\": -6.054919041944265, \"params\": [[[0.0033, 0.0076], [0.0015, 0.0023], [-0.0004, 0.0028], [0.0037, -0.0028], [0.0022, 0.0026000000000000003], [0.0034000000000000002, 0.0024000000000000002], [0.0854, 0.0053], [1.7044000000000001, -0.0026000000000000003]], [[0.0046, 1.6482], [0.0035, -0.0029000000000000002], [0.0054, 0.0019], [0.0008, 0.0017000000000000001], [0.0022, 0.0019], [0.0008, 0.0017000000000000001], [0.0118, -0.0025], [-0.0902, 0.0031000000000000003]]], \"bitstrings\": [\"01111111\", \"10000000\"], \"total_optimization_steps\": 180, \"probabilities\": [0.2613543151190819, 0.3052194546728753], \"optimization_time\": 11.357807874679565}","-0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * Z(2) + -0.25 * Z(0) + 1.25 * Z(6) + -0.75 * Z(7) + 0.0 * Z(1) + -0.5 * Z(4) + 0.5 * Z(5) + 0.0 * Z(3)",15,8,2,"{\"smallest_eigenvalues\": [-6.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.75, \"smallest_bitstrings\": [\"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.0033) q[0];\nry(0.0015) q[1];\nry(-0.0004) q[2];\nry(0.0037) q[3];\nry(0.0022) q[4];\nry(0.0034) q[5];\nry(0.0854) q[6];\nry(1.7044) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0076) q[0];\nry(0.0023) q[1];\nry(0.0028) q[2];\nry(-0.0028) q[3];\nry(0.0026) q[4];\nry(0.0024) q[5];\nry(0.0053) q[6];\nry(-0.0026) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(0.0046) q[0];\nry(0.0035) q[1];\nry(0.0054) q[2];\nry(0.0008) q[3];\nry(0.0022) q[4];\nry(0.0008) q[5];\nry(0.0118) q[6];\nry(-0.0902) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.6482) q[0];\nry(-0.0029) q[1];\nry(0.0019) q[2];\nry(0.0017) q[3];\nry(0.0019) q[4];\nry(0.0017) q[5];\nry(-0.0025) q[6];\nry(0.0031) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(x16) q[0];\nry(x17) q[1];\nry(x18) q[2];\nry(x19) q[3];\nry(x4) q[4];\nry(x19) q[5];\nry(x20) q[6];\nry(x21) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["f619afa25c1921f996d128a1dfefef72","community_detection","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 1, \"source\": 0, \"target\": 2}, {\"weight\": 1, \"source\": 0, \"target\": 5}, {\"weight\": 1, \"source\": 3, \"target\": 4}, {\"weight\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [1386, 2709], \"expectation_value\": -0.016040514426638765, \"params\": [[0.07], [-0.0777]], \"bitstrings\": [\"101010010101\", \"010101101010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0002604471977603721, 0.0002604471977603722], \"optimization_time\": 4.957663297653198}","0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0017499999999999998 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0017499999999999998 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00075 * (Z(6) @ Z(0)) + 0.00025000000000000006 * (Z(6) @ Z(2)) + 0.00025000000000000006 * (Z(6) @ Z(4)) + 0.00075 * (Z(7) @ Z(1)) + 0.00025000000000000006 * (Z(7) @ Z(3)) + 0.00025000000000000006 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.0015 * (Z(8) @ Z(0)) + 0.0005000000000000001 * (Z(8) @ Z(2)) + 0.0005000000000000001 * (Z(8) @ Z(4)) + -0.0020000000000000005 * (Z(8) @ Z(6)) + 0.0015 * (Z(9) @ Z(1)) + 0.0005000000000000001 * (Z(9) @ Z(3)) + 0.0005000000000000001 * (Z(9) @ Z(5)) + -0.0020000000000000005 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + -0.0010000000000000002 * (Z(10) @ Z(0)) + 0.0005000000000000001 * (Z(10) @ Z(2)) + 0.0005000000000000001 * (Z(10) @ Z(4)) + 0.0005000000000000001 * (Z(10) @ Z(6)) + -0.0015 * (Z(10) @ Z(8)) + -0.0010000000000000002 * (Z(11) @ Z(1)) + 0.0005000000000000001 * (Z(11) @ Z(3)) + 0.0005000000000000001 * (Z(11) @ Z(5)) + 0.0005000000000000001 * (Z(11) @ Z(7)) + -0.0015 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + -0.002250000000000002 * Z(1) + -0.002250000000000002 * Z(0) + -0.0002500000000000002 * Z(2) + -0.0002500000000000002 * Z(3) + -0.0002500000000000002 * Z(4) + -0.0002500000000000002 * Z(5) + -0.000250000000000028 * Z(6) + -0.000250000000000028 * Z(7) + -0.0010000000000000009 * Z(8) + -0.0010000000000000009 * Z(9) + -0.0010000000000000009 * Z(10) + -0.0010000000000000009 * Z(11)",5,12,1,"{\"smallest_eigenvalues\": [-1.52, -1.52], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.5159999999999996, \"smallest_bitstrings\": [\"101010010101\", \"010101101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[1], q[0];\nrz(0.035) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0002) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0002) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.035) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.0002) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.0002) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.035) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0.0001) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(0.0001) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.035) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(0.0002) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(0.0001) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(0.0001) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(-0.0003) q[8];\ncx q[6], q[8];\ncx q[1], q[9];\nrz(0.0002) q[9];\ncx q[1], q[9];\ncx q[3], q[9];\nrz(0.0001) q[9];\ncx q[3], q[9];\ncx q[5], q[9];\nrz(0.0001) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(-0.0003) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(0.035) q[9];\ncx q[8], q[9];\ncx q[0], q[10];\nrz(-0.0001) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(0.0001) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(0.0001) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(0.0001) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(-0.0002) q[10];\ncx q[8], q[10];\ncx q[1], q[11];\nrz(-0.0001) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(0.0001) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(0.0001) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(0.0001) q[11];\ncx q[7], q[11];\ncx q[9], q[11];\nrz(-0.0002) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(0.035) q[11];\ncx q[10], q[11];\nrz(-0.0003) q[1];\nrz(-0.0003) q[0];\nrz(0) q[2];\nrz(0) q[3];\nrz(0) q[4];\nrz(0) q[5];\nrz(0) q[6];\nrz(0) q[7];\nrz(-0.0001) q[8];\nrz(-0.0001) q[9];\nrz(-0.0001) q[10];\nrz(-0.0001) q[11];\nh q[0];\nrz(-0.1554) q[0];\nh q[0];\nh q[1];\nrz(-0.1554) q[1];\nh q[1];\nh q[2];\nrz(-0.1554) q[2];\nh q[2];\nh q[3];\nrz(-0.1554) q[3];\nh q[3];\nh q[4];\nrz(-0.1554) q[4];\nh q[4];\nh q[5];\nrz(-0.1554) q[5];\nh q[5];\nh q[6];\nrz(-0.1554) q[6];\nh q[6];\nh q[7];\nrz(-0.1554) q[7];\nh q[7];\nh q[8];\nrz(-0.1554) q[8];\nh q[8];\nh q[9];\nrz(-0.1554) q[9];\nh q[9];\nh q[10];\nrz(-0.1554) q[10];\nh q[10];\nh q[11];\nrz(-0.1554) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x2) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x2) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x4) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(x3) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(x3) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x5) q[8];\ncx q[6], q[8];\ncx q[1], q[9];\nrz(x4) q[9];\ncx q[1], q[9];\ncx q[3], q[9];\nrz(x3) q[9];\ncx q[3], q[9];\ncx q[5], q[9];\nrz(x3) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(x5) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(x0) q[9];\ncx q[8], q[9];\ncx q[0], q[10];\nrz(x6) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(x3) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x3) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x3) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x1) q[10];\ncx q[8], q[10];\ncx q[1], q[11];\nrz(x6) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(x3) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(x3) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(x3) q[11];\ncx q[7], q[11];\ncx q[9], q[11];\nrz(x1) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\nrz(x5) q[1];\nrz(x5) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x6) q[8];\nrz(x6) q[9];\nrz(x6) q[10];\nrz(x6) q[11];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nh q[8];\nrz(x7) q[8];\nh q[8];\nh q[9];\nrz(x7) q[9];\nh q[9];\nh q[10];\nrz(x7) q[10];\nh q[10];\nh q[11];\nrz(x7) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"communities_size\": 3, \"number_of_communities\": 2}","{\"circuits\": [], \"gradients\": []}"]
["305451fe42c8e99c594080bbfd8c69fa","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [19, 35], \"expectation_value\": -3.9963269418995533, \"params\": null, \"bitstrings\": [\"1101100\", \"1011100\"], \"total_optimization_steps\": 26, \"probabilities\": [0.06635596786096055, 0.9302847332671536], \"optimization_time\": 19.44633913040161}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1011100\", \"0011011\", \"0101011\", \"1110100\", \"1101100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nry(-1.4449) q[0];\nry(-1.4449) q[4];\nry(1.4384) q[6];\nry(1.4384) q[5];\ncry(-1.0342) q[1], q[2];\nry(0.7003) q[1];\ncry(-0.1259) q[6], q[0];\ncry(-0.1259) q[6], q[4];\nry(-0.4549) q[2];\ncry(0.4962) q[6], q[1];\ncry(-0.3788) q[6], q[2];\ncry(0.249) q[5], q[1];\ncry(-0.1489) q[5], q[2];\ncry(0.1241) q[6], q[5];\ncry(0.1211) q[5], q[6];\ncry(-0.0228) q[2], q[1];\ncry(-0.0005) q[5], q[0];\ncry(-0.0005) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\ncry(-0.0228) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\ncry(-0.0228) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\ncry(-0.0228) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\ncry(-0.0228) q[2], q[1];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\ncry(-0.0228) q[2], q[1];\\ncry(-0.0005) q[5], q[0];\\ncry(-0.0005) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\ncry(-0.0228) q[2], q[1];\\ncry(-0.0005) q[5], q[0];\\ncry(-0.0005) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\ncry(-0.0228) q[2], q[1];\\ncry(-0.0005) q[5], q[0];\\ncry(-0.0005) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.4449) q[0];\\nry(-1.4449) q[4];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-1.0342) q[1], q[2];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[0];\\ncry(-0.1259) q[6], q[4];\\nry(-0.4549) q[2];\\ncry(0.4962) q[6], q[1];\\ncry(-0.3788) q[6], q[2];\\ncry(0.249) q[5], q[1];\\ncry(-0.1489) q[5], q[2];\\ncry(0.1241) q[6], q[5];\\ncry(0.1211) q[5], q[6];\\ncry(-0.0228) q[2], q[1];\\ncry(-0.0005) q[5], q[0];\\ncry(-0.0005) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.51, 0.5043, 0.503, 0.492, 0.4917, 0.2509, 0.245, 0.1916, 0.1916, 0.1886, 0.2236, 0.1881, 0.1273, 0.0785, 0.0643, 0.063, 0.006, 0.006, 0.0049, 0.0045, 0.0045, 0.0038, 0.0038, 0.003, 0.003, 0.0028]}"]
["91fd701868951eab612ba86420778b2e","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [33, 3], \"expectation_value\": -14.315141270031734, \"params\": null, \"bitstrings\": [\"011110\", \"111100\"], \"total_optimization_steps\": 51, \"probabilities\": [0.10868101364905021, 0.5506785707904625], \"optimization_time\": 70.09767866134644}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + -5.75 * Z(1) + -5.75 * Z(0) + -5.75 * Z(2) + -6.25 * Z(3) + -5.25 * Z(4) + -5.25 * Z(5)",16,6,1,"{\"smallest_eigenvalues\": [-16.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -14.5, \"smallest_bitstrings\": [\"111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.0019) q[3];\nry(-0.1501) q[0];\nry(-0.2661) q[1];\nry(-0.5343) q[2];\ncry(-1.2939) q[5], q[1];\ncry(-1.4207) q[4], q[0];\ncry(-1.0365) q[3], q[2];\ncry(-1.3374) q[5], q[3];\nry(0.6128) q[5];\ncry(-0.4857) q[4], q[1];\nry(0.5595) q[4];\ncry(-0.4446) q[4], q[3];\ncry(-0.4446) q[5], q[2];\ncry(-0.3014) q[5], q[0];\ncry(0.5109) q[5], q[4];\ncry(-0.5094) q[3], q[1];\ncry(0.3709) q[4], q[5];\ncry(-0.538) q[0], q[4];\ncry(-0.5299) q[0], q[3];\ncry(-0.0974) q[4], q[2];\ncry(-0.5155) q[1], q[2];\ncry(-0.3812) q[1], q[3];\ncry(0.209) q[2], q[1];\ncry(0.8571) q[2], q[3];\ncry(-0.2799) q[0], q[2];\ncry(0.8143) q[2], q[5];\ncry(0.4217) q[3], q[5];\ncry(0.2702) q[0], q[5];\ncry(-0.232) q[0], q[1];\ncry(-0.4192) q[2], q[4];\ncry(0.2348) q[1], q[4];\ncry(-0.2803) q[1], q[5];\ncry(0.0708) q[3], q[0];\ncry(0.051) q[1], q[0];\ncry(-0.0156) q[2], q[0];\ncry(0.0231) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"k\": 4}",{"$cut":{"chars":41947,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nry(-0.2661) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nry(-0.2661) q[1];\\nry(-0.5343) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nry(-0.2661) q[1];\\nry(-0.5343) q[2];\\ncry(-1.2939) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nry(-0.2661) q[1];\\nry(-0.5343) q[2];\\ncry(-1.2939) q[5], q[1];\\ncry(-1.4207) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nry(-0.2661) q[1];\\nry(-0.5343) q[2];\\ncry(-1.2939) q[5], q[1];\\ncry(-1.4207) q[4], q[0];\\ncry(-1.0365) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nry(-0.2661) q[1];\\nry(-0.5343) q[2];\\ncry(-1.2939) q[5], q[1];\\ncry(-1.4207) q[4], q[0];\\ncry(-1.0365) q[3], q[2];\\ncry(-1.3374) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nry(-0.2661) q[1];\\nry(-0.5343) q[2];\\ncry(-1.2939) q[5], q[1];\\ncry(-1.4207) q[4], q[0];\\ncry(-1.0365) q[3], q[2];\\ncry(-1.3374) q[5], q[3];\\nry(0.6128) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nry(-0.2661) q[1];\\nry(-0.5343) q[2];\\ncry(-1.2939) q[5], q[1];\\ncry(-1.4207) q[4], q[0];\\ncry(-1.0365) q[3], q[2];\\ncry(-1.3374) q[5], q[3];\\nry(0.6128) q[5];\\ncry(-0.4857) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.0019) q[3];\\nry(-0.1501) q[0];\\nry(-0.2661) q[1];\\nry(-0.5343) q[2];\\ncry(-1.2939) q[5], q[1];\\ncry(-1.4207) q[4], q[0];\\ncry(-1.0365) q[3], q[2];\\ncry(-1.3374) q[5], q[3];\\nry(0.6128) q[5];\\ncry(-0.4857) q[4], q[1];\\nr"}}]
["fbed7eb759f2b5af245b5b20e03cfb23","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [0, 1], \"expectation_value\": -38.07219031261328, \"params\": [[[-0.0013000000000000002, 0.0061], [-0.0012000000000000001, 0.0004], [-0.0022, 0.009600000000000001], [-0.0027, 0.0063], [0.0018000000000000002, 0.0058000000000000005], [1.6069, 0.0047]]], \"bitstrings\": [\"111111\", \"111110\"], \"total_optimization_steps\": 160, \"probabilities\": [0.4819450163372173, 0.5180503258540787], \"optimization_time\": 2.2383995056152344}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2.75 * (Z(5) @ Z(4)) + -13.0 * Z(1) + -13.0 * Z(0) + -13.25 * Z(2) + -13.0 * Z(3) + -13.25 * Z(4) + -12.5 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-40.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -38.0, \"smallest_bitstrings\": [\"111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(-0.0013) q[0];\nrz(0.0061) q[0];\nrx(-0.0012) q[1];\nrz(0.0004) q[1];\nrx(-0.0022) q[2];\nrz(0.0096) q[2];\nrx(-0.0027) q[3];\nrz(0.0063) q[3];\nrx(0.0018) q[4];\nrz(0.0058) q[4];\nrx(1.6069) q[5];\nrz(0.0047) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["31437bbe386073586b0df0b920531f07","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}, {\"id\": 13}, {\"id\": 14}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 9}, {\"source\": 10, \"target\": 12}, {\"source\": 10, \"target\": 13}, {\"source\": 10, \"target\": 14}, {\"source\": 11, \"target\": 13}, {\"source\": 12, \"target\": 13}, {\"source\": 12, \"target\": 14}, {\"source\": 13, \"target\": 14}]}","{\"states\": [0, 16383], \"expectation_value\": -33.20702392761767, \"params\": [[[0.0027, 1.6054000000000002], [-0.0036000000000000003, 0.0027], [-0.0031000000000000003, 0.003], [0.0019, 0.0028], [0.0019, 0.0019], [0.0025, 0.0017000000000000001], [0.0022, 0.002], [0.0018000000000000002, 0.0019], [-0.0031000000000000003, 0.002], [0.0021000000000000003, 0.0027], [-0.0036000000000000003, 0.0024000000000000002], [0.002, 0.0022], [0.0022, 0.002], [0.0028, 0.0022]]], \"bitstrings\": [\"11111111111111\", \"00000000000000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.48267844198449883, 0.5172805440453745], \"optimization_time\": 15.675025701522827}","-2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(11)) + -2.5 * (Z(12) @ Z(11)) + -2.5 * (Z(12) @ Z(9)) + -2.0 * (Z(13) @ Z(11)) + -2.0 * (Z(13) @ Z(9)) + -2.5 * (Z(13) @ Z(12)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(9)) + -2.5 * (Z(10) @ Z(12)) + 0.5 * (Z(10) @ Z(13)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 1.0 * Z(6) + -2.0 * Z(5) + 1.0 * Z(7) + 1.0 * Z(8) + 0.5 * Z(11) + 0.5 * Z(9) + 0.5 * Z(12) + 0.5 * Z(13) + 0.5 * Z(10)",15,14,1,"{\"smallest_eigenvalues\": [-38.99999999999998], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -36.99999999999999, \"smallest_bitstrings\": [\"00000000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nry(0.0027) q[0];\nry(-0.0036) q[1];\nry(-0.0031) q[2];\nry(0.0019) q[3];\nry(0.0019) q[4];\nry(0.0025) q[5];\nry(0.0022) q[6];\nry(0.0018) q[7];\nry(-0.0031) q[8];\nry(0.0021) q[9];\nry(-0.0036) q[10];\nry(0.002) q[11];\nry(0.0022) q[12];\nry(0.0028) q[13];\ncx q[13], q[0];\ncx q[12], q[13];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.6054) q[0];\nry(0.0027) q[1];\nry(0.003) q[2];\nry(0.0028) q[3];\nry(0.0019) q[4];\nry(0.0017) q[5];\nry(0.002) q[6];\nry(0.0019) q[7];\nry(0.002) q[8];\nry(0.0027) q[9];\nry(0.0024) q[10];\nry(0.0022) q[11];\nry(0.002) q[12];\nry(0.0022) q[13];\ncx q[13], q[12];\ncx q[0], q[13];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\ncx q[11], q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[14] c;\nqubit[14] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x3) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x6) q[7];\nry(x2) q[8];\nry(x7) q[9];\nry(x1) q[10];\nry(x8) q[11];\nry(x5) q[12];\nry(x9) q[13];\ncx q[13], q[0];\ncx q[12], q[13];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x0) q[1];\nry(x11) q[2];\nry(x9) q[3];\nry(x3) q[4];\nry(x12) q[5];\nry(x8) q[6];\nry(x3) q[7];\nry(x8) q[8];\nry(x0) q[9];\nry(x13) q[10];\nry(x5) q[11];\nry(x8) q[12];\nry(x5) q[13];\ncx q[13], q[12];\ncx q[0], q[13];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\ncx q[11], q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","{\"node\": 8}","{\"circuits\": [], \"gradients\": []}"]
["58fa04385078dcdc0b5f9361c481400a","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [174, 206], \"expectation_value\": -1.9093767458551345, \"params\": null, \"bitstrings\": [\"01010001\", \"00110001\"], \"total_optimization_steps\": 58, \"probabilities\": [0.08401115856030354, 0.7713980463996462], \"optimization_time\": 124.17610239982605}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(4)) + -0.125 * (Z(1) @ Z(4) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(7)) + -0.125 * (Z(6) @ Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(1) @ Z(4) @ Z(7)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(7) @ Z(5)) + 0.0 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.125 * Z(4) + 0.0 * Z(5) + 0.125 * Z(6) + 0.125 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], \"number_of_smallest_eigenvalues\": 16, \"first_excited_energy\": -1.125, \"smallest_bitstrings\": [\"00110010\", \"01000110\", \"01010001\", \"01110000\", \"10001001\", \"01010100\", \"00111000\", \"10000110\", \"10010001\", \"10001100\", \"10101000\", \"10000101\", \"00101010\", \"11000100\", \"00100110\", \"00110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-0.5926) q[6], q[3];\nry(0.8622) q[4];\ncry(-0.8963) q[5], q[3];\nry(0.8608) q[0];\ncry(-1.1915) q[1], q[2];\ncry(0.6159) q[4], q[0];\nry(0.7334) q[5];\ncry(-0.4569) q[4], q[3];\ncry(0.9004) q[5], q[6];\ncry(-0.493) q[7], q[2];\ncry(0.532) q[0], q[5];\ncry(-0.1921) q[0], q[3];\ncry(0.4666) q[0], q[4];\ncry(-0.6035) q[1], q[7];\nry(0.5535) q[6];\nry(-0.1104) q[3];\nry(0.2997) q[1];\ncry(-0.6178) q[6], q[7];\ncry(0.4796) q[0], q[1];\ncry(-0.3497) q[5], q[7];\ncry(-0.2151) q[0], q[2];\ncry(0.3527) q[4], q[1];\ncry(-0.2421) q[4], q[2];\ncry(0.2036) q[6], q[5];\ncry(0.1873) q[5], q[1];\ncry(0.1788) q[6], q[4];\ncry(-0.1654) q[4], q[7];\ncry(-0.1119) q[5], q[2];\ncry(0.1224) q[6], q[1];\ncry(0.1183) q[4], q[6];\ncry(-0.0496) q[1], q[3];\ncry(0.0926) q[5], q[0];\nry(-0.0692) q[2];\ncry(-0.0606) q[0], q[7];\ncry(-0.111) q[3], q[6];\ncry(-0.0815) q[3], q[5];\ncry(0.028) q[0], q[6];\ncry(0.0459) q[3], q[7];\ncry(0.0196) q[1], q[5];\ncry(-0.0353) q[7], q[6];\ncry(0.0301) q[3], q[1];\ncry(0.0153) q[1], q[4];\ncry(-0.0103) q[6], q[2];\ncry(-0.0069) q[4], q[5];\ncry(0.0169) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,null,{"$cut":{"chars":56911,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nry(0.8622) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nry(0.8622) q[4];\\ncry(-0.8963) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nry(0.8622) q[4];\\ncry(-0.8963) q[5], q[3];\\nry(0.8608) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nry(0.8622) q[4];\\ncry(-0.8963) q[5], q[3];\\nry(0.8608) q[0];\\ncry(-1.1915) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nry(0.8622) q[4];\\ncry(-0.8963) q[5], q[3];\\nry(0.8608) q[0];\\ncry(-1.1915) q[1], q[2];\\ncry(0.6159) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nry(0.8622) q[4];\\ncry(-0.8963) q[5], q[3];\\nry(0.8608) q[0];\\ncry(-1.1915) q[1], q[2];\\ncry(0.6159) q[4], q[0];\\nry(0.7334) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nry(0.8622) q[4];\\ncry(-0.8963) q[5], q[3];\\nry(0.8608) q[0];\\ncry(-1.1915) q[1], q[2];\\ncry(0.6159) q[4], q[0];\\nry(0.7334) q[5];\\ncry(-0.4569) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nry(0.8622) q[4];\\ncry(-0.8963) q[5], q[3];\\nry(0.8608) q[0];\\ncry(-1.1915) q[1], q[2];\\ncry(0.6159) q[4], q[0];\\nry(0.7334) q[5];\\ncry(-0.4569) q[4], q[3];\\ncry(0.9004) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-0.5926) q[6], q[3];\\nry(0.8622) q[4];\\ncry(-0.8"}}]
["0541faf635a6399f550a5b5935bfa17a","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [502, 733], \"expectation_value\": -0.04995768270526728, \"params\": [[0.065], [-0.0596]], \"bitstrings\": [\"1000001001\", \"0100100010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.001098772237715854, 0.0010987767361514615], \"optimization_time\": 6.817355155944824}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(7)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(6) @ Z(7) @ Z(8)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(9) @ Z(4)) + 0.125 * (Z(9) @ Z(7)) + -0.125 * (Z(7) @ Z(2) @ Z(4)) + -0.125 * (Z(9) @ Z(2) @ Z(4)) + -0.125 * (Z(9) @ Z(2) @ Z(7)) + -0.125 * (Z(9) @ Z(7) @ Z(4)) + 0.125 * (Z(9) @ Z(2) @ Z(7) @ Z(4)) + 0.25 * (Z(8) @ Z(5)) + 0.25 * (Z(9) @ Z(5)) + 0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(8) @ Z(5)) + 0.125 * Z(0) + 0.0 * Z(1) + 0.125 * Z(2) + 0.125 * Z(3) + 0.25 * Z(4) + 0.125 * Z(5) + 0.0 * Z(6) + 0.125 * Z(7) + 0.0 * Z(8) + 0.125 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"0100010100\", \"0011000010\", \"1000001001\", \"0010011000\", \"0100100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(0.0325) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0325) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0325) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0325) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(0.0163) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(0.0163) q[0];\ncx q[4], q[0];\ncx q[5], q[0];\nrz(0.0163) q[0];\ncx q[5], q[0];\ncx q[4], q[3];\nrz(0.0163) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(0.0163) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(0.0163) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(-0.0163) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(-0.0163) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[4];\ncx q[4], q[0];\nrz(-0.0163) q[0];\ncx q[4], q[0];\ncx q[5], q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(-0.0163) q[3];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0163) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[7], q[6];\nrz(0.0325) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(0.0325) q[6];\ncx q[8], q[6];\ncx q[8], q[7];\nrz(0.0325) q[7];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[6];\nrz(-0.0325) q[6];\ncx q[7], q[6];\ncx q[8], q[7];\ncx q[3], q[1];\nrz(0.0325) q[1];\ncx q[3], q[1];\ncx q[1], q[6];\nrz(0.0325) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.0325) q[6];\ncx q[3], q[6];\ncx q[3], q[1];\ncx q[1], q[6];\nrz(-0.0325) q[6];\ncx q[1], q[6];\ncx q[3], q[1];\ncx q[4], q[2];\nrz(0.0163) q[2];\ncx q[4], q[2];\ncx q[2], q[7];\nrz(0.0163) q[7];\ncx q[2], q[7];\ncx q[2], q[9];\nrz(0.0163) q[9];\ncx q[2], q[9];\ncx q[4], q[7];\nrz(0.0163) q[7];\ncx q[4], q[7];\ncx q[4], q[9];\nrz(0.0163) q[9];\ncx q[4], q[9];\ncx q[7], q[9];\nrz(0.0163) q[9];\ncx q[7], q[9];\ncx q[4], q[2];\ncx q[2], q[7];\nrz(-0.0163) q[7];\ncx q[2], q[7];\ncx q[4], q[2];\ncx q[4], q[2];\ncx q[2], q[9];\nrz(-0.0163) q[9];\ncx q[2], q[9];\ncx q[4], q[2];\ncx q[7], q[2];\ncx q[2], q[9];\nrz(-0.0163) q[9];\ncx q[2], q[9];\ncx q[7], q[2];\ncx q[4], q[7];\ncx q[7], q[9];\nrz(-0.0163) q[9];\ncx q[7], q[9];\ncx q[4], q[7];\ncx q[4], q[7];\ncx q[7], q[2];\ncx q[2], q[9];\nrz(0.0163) q[9];\ncx q[2], q[9];\ncx q[7], q[2];\ncx q[4], q[7];\ncx q[5], q[8];\nrz(0.0325) q[8];\ncx q[5], q[8];\ncx q[5], q[9];\nrz(0.0325) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(0.0325) q[9];\ncx q[8], q[9];\ncx q[5], q[8];\ncx q[8], q[9];\nrz(-0.0325) q[9];\ncx q[8], q[9];\ncx q[5], q[8];\nrz(0.0163) q[0];\nrz(0) q[1];\nrz(0.0163) q[2];\nrz(0.0163) q[3];\nrz(0.0325) q[4];\nrz(0.0163) q[5];\nrz(0) q[6];\nrz(0.0163) q[7];\nrz(0) q[8];\nrz(0.0163) q[9];\nh q[0];\nrz(-0.1192) q[0];\nh q[0];\nh q[1];\nrz(-0.1192) q[1];\nh q[1];\nh q[2];\nrz(-0.1192) q[2];\nh q[2];\nh q[3];\nrz(-0.1192) q[3];\nh q[3];\nh q[4];\nrz(-0.1192) q[4];\nh q[4];\nh q[5];\nrz(-0.1192) q[5];\nh q[5];\nh q[6];\nrz(-0.1192) q[6];\nh q[6];\nh q[7];\nrz(-0.1192) q[7];\nh q[7];\nh q[8];\nrz(-0.1192) q[8];\nh q[8];\nh q[9];\nrz(-0.1192) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x2) q[0];\ncx q[4], q[0];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(x2) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[4];\ncx q[4], q[0];\nrz(x3) q[0];\ncx q[4], q[0];\ncx q[5], q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(x3) q[3];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(x0) q[6];\ncx q[8], q[6];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[8], q[7];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[3], q[1];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[3], q[1];\ncx q[4], q[2];\nrz(x2) q[2];\ncx q[4], q[2];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[2], q[9];\nrz(x2) q[9];\ncx q[2], q[9];\ncx q[4], q[7];\nrz(x2) q[7];\ncx q[4], q[7];\ncx q[4], q[9];\nrz(x2) q[9];\ncx q[4], q[9];\ncx q[7], q[9];\nrz(x2) q[9];\ncx q[7], q[9];\ncx q[4], q[2];\ncx q[2], q[7];\nrz(x3) q[7];\ncx q[2], q[7];\ncx q[4], q[2];\ncx q[4], q[2];\ncx q[2], q[9];\nrz(x3) q[9];\ncx q[2], q[9];\ncx q[4], q[2];\ncx q[7], q[2];\ncx q[2], q[9];\nrz(x3) q[9];\ncx q[2], q[9];\ncx q[7], q[2];\ncx q[4], q[7];\ncx q[7], q[9];\nrz(x3) q[9];\ncx q[7], q[9];\ncx q[4], q[7];\ncx q[4], q[7];\ncx q[7], q[2];\ncx q[2], q[9];\nrz(x2) q[9];\ncx q[2], q[9];\ncx q[7], q[2];\ncx q[4], q[7];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[5], q[9];\nrz(x0) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(x0) q[9];\ncx q[8], q[9];\ncx q[5], q[8];\ncx q[8], q[9];\nrz(x1) q[9];\ncx q[8], q[9];\ncx q[5], q[8];\nrz(x2) q[0];\nrz(x4) q[1];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x0) q[4];\nrz(x2) q[5];\nrz(x4) q[6];\nrz(x2) q[7];\nrz(x4) q[8];\nrz(x2) q[9];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["-3009869336801506383","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 3, 4], [0, 5], [2, 5], [3, 6]]}","{\"states\": [39, 117], \"expectation_value\": -0.6090547093246732, \"params\": [[0.3665], [-0.35750000000000004]], \"bitstrings\": [\"1011000\", \"0001010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.02208271303416272, 0.02208271303416272], \"optimization_time\": 1.0344130992889404}","0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-1.8333333333333335, -1.8333333333333335], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.833333333333333, \"smallest_bitstrings\": [\"1011000\", \"0001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[1];\nrz(0.1222) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(0.1222) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(0.1222) q[4];\ncx q[1], q[4];\ncx q[5], q[0];\nrz(0.3665) q[0];\ncx q[5], q[0];\ncx q[5], q[2];\nrz(0.3665) q[2];\ncx q[5], q[2];\ncx q[3], q[6];\nrz(0.3665) q[6];\ncx q[3], q[6];\nrz(0.1222) q[3];\nrz(0.1222) q[1];\nrz(0.1222) q[4];\nrz(0) q[5];\nrz(0) q[0];\nrz(0) q[2];\nrz(0) q[6];\nh q[0];\nrz(-0.715) q[0];\nh q[0];\nh q[1];\nrz(-0.715) q[1];\nh q[1];\nh q[2];\nrz(-0.715) q[2];\nh q[2];\nh q[3];\nrz(-0.715) q[3];\nh q[3];\nh q[4];\nrz(-0.715) q[4];\nh q[4];\nh q[5];\nrz(-0.715) q[5];\nh q[5];\nh q[6];\nrz(-0.715) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[5], q[0];\nrz(x1) q[0];\ncx q[5], q[0];\ncx q[5], q[2];\nrz(x1) q[2];\ncx q[5], q[2];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\nrz(x0) q[3];\nrz(x0) q[1];\nrz(x0) q[4];\nrz(x2) q[5];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[6];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["5321897163388403041","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[1, 6, 9], [3, 2, 10], [8, 4, 5], [3, 6], [1, 2], [8, 2, 5], [8, 2, 7], [8, 10], [1, 4], [9, 10], [1, 10], [9, 5, 7], [0, 9, 6], [0, 5, 6], [0, 3, 5], [1, 3, 5], [10, 4, 7], [4, 6], [6, 7], [9, 3], [0, 4], [1, 3, 7], [0, 2], [0, 10], [3, 4, 7], [2, 4, 7], [8, 1, 6]]}","{\"states\": [506, 504], \"expectation_value\": -6.098640085204886, \"params\": [0.0027, -2.1927000000000003, -0.0027, 0.0063, -0.0025, 1.3197, 0.0047, 1.8190000000000002, 1.3038, -0.003, 1.8424, 0.0029000000000000002, 1.5473000000000001, -0.0074, 1.0283, 0.0228, 1.5671000000000002, 0.0036000000000000003, 1.5673000000000001, 0.001, 1.4442000000000002, 0.010400000000000001, 1.2101, -0.013000000000000001, 1.5759, -0.0018000000000000002, 1.5692000000000002, 0.0045000000000000005, 1.6259000000000001, 0.0033, 1.5125000000000002, -0.028900000000000002, -0.0021000000000000003, 1.9597, 0.0021000000000000003, 0.004, 2.1265, -1.026, 2.3850000000000002, -0.8210000000000001, 0.5415, 1.0314, 0.5348, 0.0057, 0.0061, 0.0026000000000000003, 0.0022, 0.5598000000000001, -0.0034000000000000002, 0.49460000000000004, 0.0017000000000000001, -2.2336, 0.0021000000000000003, 1.6302, 0.0094], \"bitstrings\": [\"11000000101\", \"11000000111\"], \"total_optimization_steps\": 450, \"probabilities\": [0.3679306350586051, 0.4331402661859325], \"optimization_time\": 71.11325407028198}","0.3333333333333333 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(10) @ Z(7)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(10)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(10)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(10)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(10)) + 0.3333333333333333 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.666666666666667 * Z(7) + 0.6666666666666665 * Z(1) + 0.5 * Z(10) + 0.8333333333333335 * Z(4) + 0.6666666666666663 * Z(3) + 0.3333333333333335 * Z(2) + 0.6666666666666665 * Z(9) + 0.6666666666666674 * Z(5) + 1.0 * Z(6) + 0.9999999999999993 * Z(8) + 0.5 * Z(0)",8,11,1,"{\"smallest_eigenvalues\": [-6.6666666666666705], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.666666666666665, \"smallest_bitstrings\": [\"11000000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.0027) q[0];\nrz(-2.1927) q[0];\nrx(-0.0025) q[1];\nrz(1.3197) q[1];\nrx(1.3038) q[2];\nrz(-0.003) q[2];\nrx(1.5473) q[3];\nrz(-0.0074) q[3];\nrx(1.5671) q[4];\nrz(0.0036) q[4];\nrx(1.4442) q[5];\nrz(0.0104) q[5];\nrx(1.5759) q[6];\nrz(-0.0018) q[6];\nrx(1.6259) q[7];\nrz(0.0033) q[7];\nrx(-0.0021) q[8];\nrz(1.9597) q[8];\nrx(2.1265) q[9];\nrz(-1.026) q[9];\nrx(0.5415) q[10];\nrz(1.0314) q[10];\ncrx(0.0061) q[1], q[0];\ncrx(0.0022) q[3], q[2];\ncrx(-0.0034) q[5], q[4];\ncrx(0.0017) q[7], q[6];\ncrx(0.0021) q[9], q[8];\nrx(-0.0027) q[0];\nrz(0.0063) q[0];\nrx(0.0047) q[1];\nrz(1.819) q[1];\nrx(1.8424) q[2];\nrz(0.0029) q[2];\nrx(1.0283) q[3];\nrz(0.0228) q[3];\nrx(1.5673) q[4];\nrz(0.001) q[4];\nrx(1.2101) q[5];\nrz(-0.013) q[5];\nrx(1.5692) q[6];\nrz(0.0045) q[6];\nrx(1.5125) q[7];\nrz(-0.0289) q[7];\nrx(0.0021) q[8];\nrz(0.004) q[8];\nrx(2.385) q[9];\nrz(-0.821) q[9];\nrx(0.5348) q[10];\nrz(0.0057) q[10];\ncrx(0.0026) q[2], q[1];\ncrx(0.5598) q[4], q[3];\ncrx(0.4946) q[6], q[5];\ncrx(-2.2336) q[8], q[7];\ncrx(1.6302) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrx(x22) q[1], q[0];\ncrx(x23) q[3], q[2];\ncrx(x24) q[5], q[4];\ncrx(x25) q[7], q[6];\ncrx(x26) q[9], q[8];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x26) q[8];\nrz(x43) q[8];\nrx(x44) q[9];\nrz(x45) q[9];\nrx(x46) q[10];\nrz(x47) q[10];\ncrx(x48) q[2], q[1];\ncrx(x49) q[4], q[3];\ncrx(x50) q[6], q[5];\ncrx(x51) q[8], q[7];\ncrx(x52) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["98ff52dd3a46eb29e6baf499c47cc739","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [41, 22], \"expectation_value\": -0.5036788423531917, \"params\": [[-0.0762, -0.06910000000000001, -0.0722, -0.0779], [0.079, 0.0711, 0.0699, 0.0722]], \"bitstrings\": [\"010110\", \"101001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.029890652521293908, 0.029890652521293942], \"optimization_time\": 6.961020231246948}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(0) @ Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + -0.125 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.125 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -1.125, \"smallest_bitstrings\": [\"010110\", \"011010\", \"011001\", \"101001\", \"111000\", \"011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0762) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0762) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(-0.0762) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(-0.0191) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0191) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(-0.0191) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(-0.0191) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(-0.0191) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(-0.0191) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.0191) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(0.0191) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(0.0191) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(0.0191) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0191) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[1];\nrz(-0.0762) q[1];\ncx q[5], q[1];\nrz(0.0191) q[0];\nrz(0.0762) q[1];\nrz(0.0762) q[2];\nrz(0.0191) q[3];\nrz(0.0191) q[4];\nrz(0.0191) q[5];\nh q[0];\nrz(0.158) q[0];\nh q[0];\nh q[1];\nrz(0.158) q[1];\nh q[1];\nh q[2];\nrz(0.158) q[2];\nh q[2];\nh q[3];\nrz(0.158) q[3];\nh q[3];\nh q[4];\nrz(0.158) q[4];\nh q[4];\nh q[5];\nrz(0.158) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0691) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0691) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(-0.0691) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(-0.0173) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0173) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(-0.0173) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(-0.0173) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(-0.0173) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(-0.0173) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.0173) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(0.0173) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(0.0173) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(0.0173) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0173) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[1];\nrz(-0.0691) q[1];\ncx q[5], q[1];\nrz(0.0173) q[0];\nrz(0.0691) q[1];\nrz(0.0691) q[2];\nrz(0.0173) q[3];\nrz(0.0173) q[4];\nrz(0.0173) q[5];\nh q[0];\nrz(0.1422) q[0];\nh q[0];\nh q[1];\nrz(0.1422) q[1];\nh q[1];\nh q[2];\nrz(0.1422) q[2];\nh q[2];\nh q[3];\nrz(0.1422) q[3];\nh q[3];\nh q[4];\nrz(0.1422) q[4];\nh q[4];\nh q[5];\nrz(0.1422) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0722) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0722) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(-0.0722) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(-0.0181) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0181) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(-0.0181) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(-0.0181) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(-0.0181) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(-0.0181) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.0181) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(0.0181) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(0.0181) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(0.0181) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0181) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[1];\nrz(-0.0722) q[1];\ncx q[5], q[1];\nrz(0.0181) q[0];\nrz(0.0722) q[1];\nrz(0.0722) q[2];\nrz(0.0181) q[3];\nrz(0.0181) q[4];\nrz(0.0181) q[5];\nh q[0];\nrz(0.1398) q[0];\nh q[0];\nh q[1];\nrz(0.1398) q[1];\nh q[1];\nh q[2];\nrz(0.1398) q[2];\nh q[2];\nh q[3];\nrz(0.1398) q[3];\nh q[3];\nh q[4];\nrz(0.1398) q[4];\nh q[4];\nh q[5];\nrz(0.1398) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0779) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0779) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(-0.0779) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(-0.0195) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0195) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(-0.0195) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(-0.0195) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(-0.0195) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(-0.0195) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.0195) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(0.0195) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(0.0195) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(0.0195) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.0195) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[1];\nrz(-0.0779) q[1];\ncx q[5], q[1];\nrz(0.0195) q[0];\nrz(0.0779) q[1];\nrz(0.0779) q[2];\nrz(0.0195) q[3];\nrz(0.0195) q[4];\nrz(0.0195) q[5];\nh q[0];\nrz(0.1444) q[0];\nh q[0];\nh q[1];\nrz(0.1444) q[1];\nh q[1];\nh q[2];\nrz(0.1444) q[2];\nh q[2];\nh q[3];\nrz(0.1444) q[3];\nh q[3];\nh q[4];\nrz(0.1444) q[4];\nh q[4];\nh q[5];\nrz(0.1444) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(x1) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(x1) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(x2) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x3) q[2];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x5) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(x6) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(x6) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(x6) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x7) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x7) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(x7) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[1];\nrz(x5) q[1];\ncx q[5], q[1];\nrz(x7) q[0];\nrz(x8) q[1];\nrz(x8) q[2];\nrz(x7) q[3];\nrz(x7) q[4];\nrz(x7) q[5];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(x11) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(x11) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(x11) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x12) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x12) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(x12) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(x12) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[1];\nrz(x10) q[1];\ncx q[5], q[1];\nrz(x12) q[0];\nrz(x13) q[1];\nrz(x13) q[2];\nrz(x12) q[3];\nrz(x12) q[4];\nrz(x12) q[5];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nh q[4];\nrz(x14) q[4];\nh q[4];\nh q[5];\nrz(x14) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x15) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x15) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x15) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(x16) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x16) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\nrz(x16) q[0];\ncx q[5], q[0];\ncx q[3], q[4];\nrz(x16) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\nrz(x16) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(x16) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x17) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x17) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[0];\ncx q[0], q[4];\nrz(x17) q[4];\ncx q[0], q[4];\ncx q[5], q[0];\ncx q[5], q[3];\ncx q[3], q[4];\nrz(x17) q[4];\ncx q[3], q[4];\ncx q[5], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x16) q[4];\ncx q[0], q[4];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[5], q[1];\nrz(x15) q[1];\ncx q[5], q[1];\nrz(x17) q[0];\nrz(x18) q[1];\nrz(x18) q[2];\nrz(x17) q[3];\nrz(x17) q[4];\nrz(x17) q[5];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["4709072898790434795","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4], \"hyperedges\": [[0, 4], [0, 3], [2, 4], [1, 2]]}","{\"states\": [24, 20], \"expectation_value\": -1.6686512774797133, \"params\": null, \"bitstrings\": [\"00111\", \"01011\"], \"total_optimization_steps\": 26, \"probabilities\": [0.06087331528495564, 0.7685181518468843], \"optimization_time\": 15.038725852966309}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1)",1,5,1,"{\"smallest_eigenvalues\": [-2.0, -2.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"10100\", \"01011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[2], q[4];\ncry(-1.0342) q[0], q[3];\nry(1.0293) q[0];\nry(-0.6992) q[3];\ncry(-1.0342) q[2], q[1];\nry(0.7625) q[2];\ncry(-0.7986) q[0], q[4];\ncry(0.3992) q[2], q[0];\ncry(0.3752) q[0], q[2];\nry(-0.6838) q[1];\ncry(-0.2408) q[2], q[3];\nry(-0.1287) q[4];\ncry(-0.1054) q[0], q[1];\ncry(0.0989) q[1], q[0];\ncry(0.0971) q[3], q[2];\ncry(0.0995) q[4], q[1];\ncry(0.0719) q[3], q[4];\ncry(-0.0587) q[1], q[2];\ncry(-0.0567) q[4], q[2];\ncry(0.0475) q[4], q[3];\ncry(-0.0448) q[4], q[0];\ncry(-0.0405) q[3], q[0];\ncry(0.0267) q[1], q[4];\ncry(0.0245) q[3], q[1];\ncry(-0.0119) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\ncry(-0.0587) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\ncry(-0.0587) q[1], q[2];\\ncry(-0.0567) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\ncry(-0.0587) q[1], q[2];\\ncry(-0.0567) q[4], q[2];\\ncry(0.0475) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\ncry(-0.0587) q[1], q[2];\\ncry(-0.0567) q[4], q[2];\\ncry(0.0475) q[4], q[3];\\ncry(-0.0448) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\ncry(-0.0587) q[1], q[2];\\ncry(-0.0567) q[4], q[2];\\ncry(0.0475) q[4], q[3];\\ncry(-0.0448) q[4], q[0];\\ncry(-0.0405) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\ncry(-0.0587) q[1], q[2];\\ncry(-0.0567) q[4], q[2];\\ncry(0.0475) q[4], q[3];\\ncry(-0.0448) q[4], q[0];\\ncry(-0.0405) q[3], q[0];\\ncry(0.0267) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\ncry(-0.0587) q[1], q[2];\\ncry(-0.0567) q[4], q[2];\\ncry(0.0475) q[4], q[3];\\ncry(-0.0448) q[4], q[0];\\ncry(-0.0405) q[3], q[0];\\ncry(0.0267) q[1], q[4];\\ncry(0.0245) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\ncry(-0.0587) q[1], q[2];\\ncry(-0.0567) q[4], q[2];\\ncry(0.0475) q[4], q[3];\\ncry(-0.0448) q[4], q[0];\\ncry(-0.0405) q[3], q[0];\\ncry(0.0267) q[1], q[4];\\ncry(0.0245) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[2], q[4];\\ncry(-1.0342) q[0], q[3];\\nry(1.0293) q[0];\\nry(-0.6992) q[3];\\ncry(-1.0342) q[2], q[1];\\nry(0.7625) q[2];\\ncry(-0.7986) q[0], q[4];\\ncry(0.3992) q[2], q[0];\\ncry(0.3752) q[0], q[2];\\nry(-0.6838) q[1];\\ncry(-0.2408) q[2], q[3];\\nry(-0.1287) q[4];\\ncry(-0.1054) q[0], q[1];\\ncry(0.0989) q[1], q[0];\\ncry(0.0971) q[3], q[2];\\ncry(0.0995) q[4], q[1];\\ncry(0.0719) q[3], q[4];\\ncry(-0.0587) q[1], q[2];\\ncry(-0.0567) q[4], q[2];\\ncry(0.0475) q[4], q[3];\\ncry(-0.0448) q[4], q[0];\\ncry(-0.0405) q[3], q[0];\\ncry(0.0267) q[1], q[4];\\ncry(0.0245) q[3], q[1];\\ncry(-0.0119) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.2519, 0.2506, 0.4318, 0.3107, 0.2506, 0.4271, 0.4819, 0.2718, 0.2364, 0.2807, 0.1089, 0.1013, 0.0457, 0.0227, 0.0214, 0.0189, 0.0146, 0.012, 0.0116, 0.0101, 0.0094, 0.0085, 0.0054, 0.0052, 0.003, 0.0026]}"]
["11576eab70c2ec583415b5e8bd58f9e2","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [3, 28], \"expectation_value\": -0.31189579773700893, \"params\": [[-0.0587, -0.0543], [0.0748, 0.067]], \"bitstrings\": [\"111100\", \"100011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.018697217015958088, 0.020286368991273354], \"optimization_time\": 3.5285801887512207}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2)",1,6,2,"{\"smallest_eigenvalues\": [-3.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0587) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.0587) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0587) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0587) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0587) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0587) q[5];\ncx q[1], q[5];\ncx q[5], q[2];\nrz(-0.0587) q[2];\ncx q[5], q[2];\nrz(0.1174) q[1];\nrz(0.1174) q[0];\nrz(0.0587) q[3];\nrz(0.1174) q[4];\nrz(0.0587) q[5];\nrz(0) q[2];\nh q[0];\nrz(0.1496) q[0];\nh q[0];\nh q[1];\nrz(0.1496) q[1];\nh q[1];\nh q[2];\nrz(0.1496) q[2];\nh q[2];\nh q[3];\nrz(0.1496) q[3];\nh q[3];\nh q[4];\nrz(0.1496) q[4];\nh q[4];\nh q[5];\nrz(0.1496) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0543) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.0543) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0543) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0543) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0543) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0543) q[5];\ncx q[1], q[5];\ncx q[5], q[2];\nrz(-0.0543) q[2];\ncx q[5], q[2];\nrz(0.1086) q[1];\nrz(0.1086) q[0];\nrz(0.0543) q[3];\nrz(0.1086) q[4];\nrz(0.0543) q[5];\nrz(0) q[2];\nh q[0];\nrz(0.134) q[0];\nh q[0];\nh q[1];\nrz(0.134) q[1];\nh q[1];\nh q[2];\nrz(0.134) q[2];\nh q[2];\nh q[3];\nrz(0.134) q[3];\nh q[3];\nh q[4];\nrz(0.134) q[4];\nh q[4];\nh q[5];\nrz(0.134) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x1) q[4];\nrz(x2) q[5];\nrz(x3) q[2];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x5) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x5) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x5) q[5];\ncx q[1], q[5];\ncx q[5], q[2];\nrz(x5) q[2];\ncx q[5], q[2];\nrz(x6) q[1];\nrz(x6) q[0];\nrz(x7) q[3];\nrz(x6) q[4];\nrz(x7) q[5];\nrz(x3) q[2];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["d829d3dc25740419582987a309632564","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [42, 56], \"expectation_value\": -4.996304703004804, \"params\": null, \"bitstrings\": [\"1010101\", \"1000111\"], \"total_optimization_steps\": 24, \"probabilities\": [0.0670649557020334, 0.9295032441322705], \"optimization_time\": 19.563693523406982}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -0.5 * Z(3) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -2.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(2)",1,7,1,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1010101\", \"1010011\", \"0001111\", \"1000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5681) q[0];\nry(-1.4449) q[4];\nry(1.4449) q[1];\nry(1.4449) q[3];\ncry(-1.0398) q[2], q[5];\nry(0.6944) q[2];\nry(-0.451) q[5];\ncry(0.4963) q[3], q[2];\ncry(-0.3778) q[3], q[5];\ncry(0.2518) q[1], q[2];\ncry(-0.1497) q[1], q[5];\ncry(-0.1186) q[3], q[4];\ncry(0.118) q[3], q[1];\ncry(0.1155) q[1], q[3];\ncry(-0.0229) q[5], q[2];\ncry(-0.0073) q[1], q[4];\ncry(-0.0026) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\ncry(-0.0229) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\ncry(-0.0229) q[5], q[2];\\ncry(-0.0073) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\ncry(-0.0229) q[5], q[2];\\ncry(-0.0073) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\ncry(-0.0229) q[5], q[2];\\ncry(-0.0073) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\ncry(-0.0229) q[5], q[2];\\ncry(-0.0073) q[1], q[4];\\ncry(-0.0026) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4449) q[3];\\ncry(-1.0398) q[2], q[5];\\nry(0.6944) q[2];\\nry(-0.451) q[5];\\ncry(0.4963) q[3], q[2];\\ncry(-0.3778) q[3], q[5];\\ncry(0.2518) q[1], q[2];\\ncry(-0.1497) q[1], q[5];\\ncry(-0.1186) q[3], q[4];\\ncry(0.118) q[3], q[1];\\ncry(0.1155) q[1], q[3];\\ncry(-0.0229) q[5], q[2];\\ncry(-0.0073) q[1], q[4];\\ncry(-0.0026) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [2.0127, 1.0062, 0.503, 0.5002, 0.5, 0.253, 0.2428, 0.188, 0.2223, 0.1887, 0.1279, 0.0794, 0.0637, 0.0612, 0.06, 0.0097, 0.0073, 0.0073, 0.005, 0.0049, 0.0048, 0.0049, 0.0032, 0.0028]}"]
["1c92797ebdc5766ffafd498d21cf8a8a","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [363, 238], \"expectation_value\": -0.10907642545730406, \"params\": [[0.0494, 0.0763], [-0.0258, -0.0575]], \"bitstrings\": [\"010010100\", \"100010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002465841961562085, 0.0024658419615620855], \"optimization_time\": 7.845038414001465}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(6)) + -0.125 * (Z(0) @ Z(6) @ Z(5)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + 0.125 * (Z(0) @ Z(3) @ Z(6) @ Z(5)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(1) @ Z(7) @ Z(8)) + 0.25 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(7) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(8) @ Z(2)) + 0.125 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + -0.125 * Z(3) + -0.25 * Z(4) + 0.125 * Z(5) + 0.125 * Z(6) + 0.0 * Z(7) + 0.0 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-3.125, -3.125, -3.125], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.125, \"smallest_bitstrings\": [\"010010100\", \"100010001\", \"001100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.0247) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0247) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0247) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0247) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[3];\nrz(0.0494) q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0123) q[0];\ncx q[3], q[0];\ncx q[5], q[0];\nrz(0.0123) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.0123) q[0];\ncx q[6], q[0];\ncx q[3], q[5];\nrz(0.0123) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(0.0123) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(0.0123) q[5];\ncx q[6], q[5];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(-0.0123) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(-0.0123) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[6], q[0];\nrz(-0.0123) q[0];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(-0.0123) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(0.0123) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[7], q[1];\nrz(0.0247) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(0.0247) q[1];\ncx q[8], q[1];\ncx q[8], q[7];\nrz(0.0247) q[7];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[1];\nrz(-0.0247) q[1];\ncx q[7], q[1];\ncx q[8], q[7];\ncx q[4], q[5];\nrz(0.0247) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(0.0247) q[7];\ncx q[4], q[7];\ncx q[7], q[5];\nrz(0.0247) q[5];\ncx q[7], q[5];\ncx q[4], q[7];\ncx q[7], q[5];\nrz(-0.0247) q[5];\ncx q[7], q[5];\ncx q[4], q[7];\ncx q[2], q[6];\nrz(0.0247) q[6];\ncx q[2], q[6];\ncx q[2], q[8];\nrz(0.0247) q[8];\ncx q[2], q[8];\ncx q[8], q[6];\nrz(0.0247) q[6];\ncx q[8], q[6];\ncx q[2], q[8];\ncx q[8], q[6];\nrz(-0.0247) q[6];\ncx q[8], q[6];\ncx q[2], q[8];\nrz(0.0123) q[0];\nrz(0) q[1];\nrz(0) q[2];\nrz(-0.0123) q[3];\nrz(-0.0247) q[4];\nrz(0.0123) q[5];\nrz(0.0123) q[6];\nrz(0) q[7];\nrz(0) q[8];\nh q[0];\nrz(-0.0516) q[0];\nh q[0];\nh q[1];\nrz(-0.0516) q[1];\nh q[1];\nh q[2];\nrz(-0.0516) q[2];\nh q[2];\nh q[3];\nrz(-0.0516) q[3];\nh q[3];\nh q[4];\nrz(-0.0516) q[4];\nh q[4];\nh q[5];\nrz(-0.0516) q[5];\nh q[5];\nh q[6];\nrz(-0.0516) q[6];\nh q[6];\nh q[7];\nrz(-0.0516) q[7];\nh q[7];\nh q[8];\nrz(-0.0516) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0382) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0382) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0382) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0382) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[3];\nrz(0.0763) q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0191) q[0];\ncx q[3], q[0];\ncx q[5], q[0];\nrz(0.0191) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.0191) q[0];\ncx q[6], q[0];\ncx q[3], q[5];\nrz(0.0191) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(0.0191) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(0.0191) q[5];\ncx q[6], q[5];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(-0.0191) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(-0.0191) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[6], q[0];\nrz(-0.0191) q[0];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(-0.0191) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(0.0191) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[7], q[1];\nrz(0.0382) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(0.0382) q[1];\ncx q[8], q[1];\ncx q[8], q[7];\nrz(0.0382) q[7];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[1];\nrz(-0.0382) q[1];\ncx q[7], q[1];\ncx q[8], q[7];\ncx q[4], q[5];\nrz(0.0382) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(0.0382) q[7];\ncx q[4], q[7];\ncx q[7], q[5];\nrz(0.0382) q[5];\ncx q[7], q[5];\ncx q[4], q[7];\ncx q[7], q[5];\nrz(-0.0382) q[5];\ncx q[7], q[5];\ncx q[4], q[7];\ncx q[2], q[6];\nrz(0.0382) q[6];\ncx q[2], q[6];\ncx q[2], q[8];\nrz(0.0382) q[8];\ncx q[2], q[8];\ncx q[8], q[6];\nrz(0.0382) q[6];\ncx q[8], q[6];\ncx q[2], q[8];\ncx q[8], q[6];\nrz(-0.0382) q[6];\ncx q[8], q[6];\ncx q[2], q[8];\nrz(0.0191) q[0];\nrz(0) q[1];\nrz(0) q[2];\nrz(-0.0191) q[3];\nrz(-0.0382) q[4];\nrz(0.0191) q[5];\nrz(0.0191) q[6];\nrz(0) q[7];\nrz(0) q[8];\nh q[0];\nrz(-0.115) q[0];\nh q[0];\nh q[1];\nrz(-0.115) q[1];\nh q[1];\nh q[2];\nrz(-0.115) q[2];\nh q[2];\nh q[3];\nrz(-0.115) q[3];\nh q[3];\nh q[4];\nrz(-0.115) q[4];\nh q[4];\nh q[5];\nrz(-0.115) q[5];\nh q[5];\nh q[6];\nrz(-0.115) q[6];\nh q[6];\nh q[7];\nrz(-0.115) q[7];\nh q[7];\nh q[8];\nrz(-0.115) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[5], q[0];\nrz(x3) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x3) q[0];\ncx q[6], q[0];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(x3) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(x3) q[5];\ncx q[6], q[5];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x4) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(x4) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[6], q[0];\nrz(x4) q[0];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[7], q[1];\nrz(x0) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(x0) q[1];\ncx q[8], q[1];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[1];\nrz(x1) q[1];\ncx q[7], q[1];\ncx q[8], q[7];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\ncx q[4], q[7];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[4], q[7];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[8], q[6];\nrz(x0) q[6];\ncx q[8], q[6];\ncx q[2], q[8];\ncx q[8], q[6];\nrz(x1) q[6];\ncx q[8], q[6];\ncx q[2], q[8];\nrz(x3) q[0];\nrz(x5) q[1];\nrz(x5) q[2];\nrz(x4) q[3];\nrz(x1) q[4];\nrz(x3) q[5];\nrz(x3) q[6];\nrz(x5) q[7];\nrz(x5) q[8];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x7) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x7) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[4], q[3];\nrz(x9) q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x10) q[0];\ncx q[3], q[0];\ncx q[5], q[0];\nrz(x10) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x10) q[0];\ncx q[6], q[0];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(x10) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[6], q[0];\nrz(x11) q[0];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(x10) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[7], q[1];\nrz(x7) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(x7) q[1];\ncx q[8], q[1];\ncx q[8], q[7];\nrz(x7) q[7];\ncx q[8], q[7];\ncx q[8], q[7];\ncx q[7], q[1];\nrz(x8) q[1];\ncx q[7], q[1];\ncx q[8], q[7];\ncx q[4], q[5];\nrz(x7) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(x7) q[7];\ncx q[4], q[7];\ncx q[7], q[5];\nrz(x7) q[5];\ncx q[7], q[5];\ncx q[4], q[7];\ncx q[7], q[5];\nrz(x8) q[5];\ncx q[7], q[5];\ncx q[4], q[7];\ncx q[2], q[6];\nrz(x7) q[6];\ncx q[2], q[6];\ncx q[2], q[8];\nrz(x7) q[8];\ncx q[2], q[8];\ncx q[8], q[6];\nrz(x7) q[6];\ncx q[8], q[6];\ncx q[2], q[8];\ncx q[8], q[6];\nrz(x8) q[6];\ncx q[8], q[6];\ncx q[2], q[8];\nrz(x10) q[0];\nrz(x5) q[1];\nrz(x5) q[2];\nrz(x11) q[3];\nrz(x8) q[4];\nrz(x10) q[5];\nrz(x10) q[6];\nrz(x5) q[7];\nrz(x5) q[8];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\nh q[8];\nrz(x12) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["2387818744926818438","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[5, 7], [3, 4, 7], [8, 3], [8, 1, 5], [8, 7], [3, 6], [0, 1], [1, 2, 7], [0, 2, 5], [2, 4], [8, 4, 6], [0, 8, 4], [0, 6, 7], [4, 6, 7]]}","{\"states\": [285, 157], \"expectation_value\": -3.50015141858802, \"params\": [2.2421, 2.2464, -0.0135, -0.007200000000000001, -0.0497, 0.0432, -0.0024000000000000002, -0.0024000000000000002, 1.5773000000000001, 1.5696, 1.5764, 1.5707, 1.5705, 1.5642, 1.5995000000000001, 1.5355, 1.6048, 1.5408000000000002, 0.0009000000000000001, 1.3767, -2.3532, -0.0054, -0.5637, 1.1724, 0.0097, -0.0032, 1.828, -0.0193, 0.0027, -0.005, 0.3154, 0.1539, 0.034, 0.0198, 0.08750000000000001, 1.8137], \"bitstrings\": [\"011100010\", \"101100010\"], \"total_optimization_steps\": 290, \"probabilities\": [0.42278424007519105, 0.56184211843861], \"optimization_time\": 10.66928243637085}","0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.3333333333333333 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.6666666666666663 * Z(7) + 0.33333333333333326 * Z(5) + 0.16666666666666674 * Z(3) + 0.6666666666666667 * Z(4) + 0.5 * Z(8) + 0.3333333333333335 * Z(1) + 0.5000000000000001 * Z(6) + 0.5000000000000001 * Z(0) + 0.33333333333333326 * Z(2)",14,9,1,"{\"smallest_eigenvalues\": [-3.666666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.666666666666666, \"smallest_bitstrings\": [\"101100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(2.2421) q[0];\nry(-0.0135) q[1];\nry(-0.0497) q[2];\nry(-0.0024) q[3];\nry(1.5773) q[4];\nry(1.5764) q[5];\nry(1.5705) q[6];\nry(1.5995) q[7];\nry(1.6048) q[8];\ncrx(0.0009) q[8], q[0];\ncrx(0.0875) q[7], q[8];\ncrx(0.034) q[6], q[7];\ncrx(0.3154) q[5], q[6];\ncrx(0.0027) q[4], q[5];\ncrx(1.828) q[3], q[4];\ncrx(0.0097) q[2], q[3];\ncrx(-0.5637) q[1], q[2];\ncrx(-2.3532) q[0], q[1];\nry(2.2464) q[0];\nry(-0.0072) q[1];\nry(0.0432) q[2];\nry(-0.0024) q[3];\nry(1.5696) q[4];\nry(1.5707) q[5];\nry(1.5642) q[6];\nry(1.5355) q[7];\nry(1.5408) q[8];\ncrx(1.3767) q[8], q[7];\ncrx(-0.0054) q[0], q[8];\ncrx(1.1724) q[0], q[1];\ncrx(-0.0032) q[1], q[2];\ncrx(-0.0193) q[2], q[3];\ncrx(-0.005) q[3], q[4];\ncrx(0.1539) q[4], q[5];\ncrx(0.0198) q[5], q[6];\ncrx(1.8137) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x3) q[3];\nry(x21) q[4];\nry(x22) q[5];\nry(x23) q[6];\nry(x24) q[7];\nry(x25) q[8];\ncrx(x26) q[8], q[7];\ncrx(x27) q[0], q[8];\ncrx(x28) q[0], q[1];\ncrx(x29) q[1], q[2];\ncrx(x30) q[2], q[3];\ncrx(x31) q[3], q[4];\ncrx(x32) q[4], q[5];\ncrx(x33) q[5], q[6];\ncrx(x34) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["71d301879dc942d6c7409e0a7151846a","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 7}]}","{\"states\": [1016, 504], \"expectation_value\": -2.214351962884673, \"params\": [[[1.4729, 0.0079], [2.0025, 0.0044], [1.9947000000000001, 0.009600000000000001], [2.0106, 0.0022], [1.9971, 0.0053], [1.9003, 0.0091], [2.008, 0.003], [0.15130000000000002, 0.009000000000000001], [0.8615, 0.0013000000000000002], [0.0024000000000000002, 0.0028]]], \"bitstrings\": [\"0000000111\", \"1000000111\"], \"total_optimization_steps\": 200, \"probabilities\": [0.043983678171498855, 0.05350932815346759], \"optimization_time\": 5.624740123748779}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(8)) + 0.125 * (Z(6) @ Z(8)) + -0.125 * (Z(6) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) @ Z(8)) + -0.125 * (Z(6) @ Z(1) @ Z(8)) + -0.125 * (Z(6) @ Z(3) @ Z(8)) + 0.125 * (Z(6) @ Z(1) @ Z(3) @ Z(8)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.125 * Z(0) + 0.125 * Z(1) + -0.25 * Z(2) + 0.25 * Z(3) + -0.125 * Z(5) + -0.125 * Z(4) + -0.125 * Z(6) + -0.5 * Z(7) + -0.125 * Z(8) + -1.0 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"0100010101\", \"1000000111\", \"0010011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(1.4729) q[0];\nrz(0.0079) q[0];\nrx(2.0025) q[1];\nrz(0.0044) q[1];\nrx(1.9947) q[2];\nrz(0.0096) q[2];\nrx(2.0106) q[3];\nrz(0.0022) q[3];\nrx(1.9971) q[4];\nrz(0.0053) q[4];\nrx(1.9003) q[5];\nrz(0.0091) q[5];\nrx(2.008) q[6];\nrz(0.003) q[6];\nrx(0.1513) q[7];\nrz(0.009) q[7];\nrx(0.8615) q[8];\nrz(0.0013) q[8];\nrx(0.0024) q[9];\nrz(0.0028) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["2a9ab16bb8bcea71e9f34a77597a5638","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [50, 54], \"expectation_value\": -3.2823383157665735, \"params\": [0.0388, -0.2479, 0.0313, -0.2716, 0.5081, 0.0302, 0.5087, 0.020800000000000003, 0.4988, 0.061200000000000004, 0.49810000000000004, -0.0001, -0.0081, 0.13390000000000002, 0.0031000000000000003, 0.15430000000000002, 0.4692, 0.0723, 0.46630000000000005, 0.022600000000000002, 0.5049, 0.0489, 0.5021, -0.0125, 0.030500000000000003, 0.2977, 0.029900000000000003, 0.29300000000000004, 0.0379, -0.28200000000000003, 0.0381, 0.0098, 0.5006, 0.0043, 0.5036, 0.0068000000000000005, 0.5005000000000001, 0.1872, 0.5077, 0.0059, 0.0038, 0.2137, -0.0106, 0.0039000000000000003, 0.46840000000000004, 0.0198, 0.4681, 0.007200000000000001, 0.5021, 0.09140000000000001, 0.5067, 0.0088, 0.0216, 0.2983, 0.0297, 0.0055000000000000005, -0.2534, 0.0298, -0.044000000000000004, 0.126, -0.0114, 0.0292, 0.2554, -0.2921, 0.0332, -0.0539, 0.1423, 0.011000000000000001, -0.0076, 0.30060000000000003], \"bitstrings\": [\"1001101\", \"1001001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.12755919818174105, 0.2352055253131865], \"optimization_time\": 41.93778920173645}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5)",5,7,2,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"1001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0388) q[0];\nrz(-0.2479) q[0];\nrx(0.5081) q[1];\nrz(0.0302) q[1];\nrx(0.4988) q[2];\nrz(0.0612) q[2];\nrx(-0.0081) q[3];\nrz(0.1339) q[3];\nrx(0.4692) q[4];\nrz(0.0723) q[4];\nrx(0.5049) q[5];\nrz(0.0489) q[5];\nrx(0.0305) q[6];\nrz(0.2977) q[6];\ncrz(0.0292) q[6], q[5];\ncrz(-0.0114) q[6], q[4];\ncrz(0.126) q[6], q[3];\ncrz(-0.044) q[6], q[2];\ncrz(0.0298) q[6], q[1];\ncrz(-0.2534) q[6], q[0];\ncrz(0.2554) q[5], q[6];\ncrz(-0.0114) q[5], q[4];\ncrz(0.126) q[5], q[3];\ncrz(-0.044) q[5], q[2];\ncrz(0.0298) q[5], q[1];\ncrz(-0.2534) q[5], q[0];\ncrz(0.2554) q[4], q[6];\ncrz(0.0292) q[4], q[5];\ncrz(0.126) q[4], q[3];\ncrz(-0.044) q[4], q[2];\ncrz(0.0298) q[4], q[1];\ncrz(-0.2534) q[4], q[0];\ncrz(0.2554) q[3], q[6];\ncrz(0.0292) q[3], q[5];\ncrz(-0.0114) q[3], q[4];\ncrz(-0.044) q[3], q[2];\ncrz(0.0298) q[3], q[1];\ncrz(-0.2534) q[3], q[0];\ncrz(0.2554) q[2], q[6];\ncrz(0.0292) q[2], q[5];\ncrz(-0.0114) q[2], q[4];\ncrz(0.126) q[2], q[3];\ncrz(0.0298) q[2], q[1];\ncrz(-0.2534) q[2], q[0];\ncrz(0.2554) q[1], q[6];\ncrz(0.0292) q[1], q[5];\ncrz(-0.0114) q[1], q[4];\ncrz(0.126) q[1], q[3];\ncrz(-0.044) q[1], q[2];\ncrz(-0.2534) q[1], q[0];\ncrz(0.2554) q[0], q[6];\ncrz(0.0292) q[0], q[5];\ncrz(-0.0114) q[0], q[4];\ncrz(0.126) q[0], q[3];\ncrz(-0.044) q[0], q[2];\ncrz(0.0298) q[0], q[1];\nrx(0.0313) q[0];\nrz(-0.2716) q[0];\nrx(0.5087) q[1];\nrz(0.0208) q[1];\nrx(0.4981) q[2];\nrz(-0.0001) q[2];\nrx(0.0031) q[3];\nrz(0.1543) q[3];\nrx(0.4663) q[4];\nrz(0.0226) q[4];\nrx(0.5021) q[5];\nrz(-0.0125) q[5];\nrx(0.0299) q[6];\nrz(0.293) q[6];\nrx(0.0379) q[0];\nrz(-0.282) q[0];\nrx(0.5006) q[1];\nrz(0.0043) q[1];\nrx(0.5005) q[2];\nrz(0.1872) q[2];\nrx(0.0038) q[3];\nrz(0.2137) q[3];\nrx(0.4684) q[4];\nrz(0.0198) q[4];\nrx(0.5021) q[5];\nrz(0.0914) q[5];\nrx(0.0216) q[6];\nrz(0.2983) q[6];\ncrz(-0.0076) q[6], q[5];\ncrz(0.011) q[6], q[4];\ncrz(0.1423) q[6], q[3];\ncrz(-0.0539) q[6], q[2];\ncrz(0.0332) q[6], q[1];\ncrz(-0.2921) q[6], q[0];\ncrz(0.3006) q[5], q[6];\ncrz(0.011) q[5], q[4];\ncrz(0.1423) q[5], q[3];\ncrz(-0.0539) q[5], q[2];\ncrz(0.0332) q[5], q[1];\ncrz(-0.2921) q[5], q[0];\ncrz(0.3006) q[4], q[6];\ncrz(-0.0076) q[4], q[5];\ncrz(0.1423) q[4], q[3];\ncrz(-0.0539) q[4], q[2];\ncrz(0.0332) q[4], q[1];\ncrz(-0.2921) q[4], q[0];\ncrz(0.3006) q[3], q[6];\ncrz(-0.0076) q[3], q[5];\ncrz(0.011) q[3], q[4];\ncrz(-0.0539) q[3], q[2];\ncrz(0.0332) q[3], q[1];\ncrz(-0.2921) q[3], q[0];\ncrz(0.3006) q[2], q[6];\ncrz(-0.0076) q[2], q[5];\ncrz(0.011) q[2], q[4];\ncrz(0.1423) q[2], q[3];\ncrz(0.0332) q[2], q[1];\ncrz(-0.2921) q[2], q[0];\ncrz(0.3006) q[1], q[6];\ncrz(-0.0076) q[1], q[5];\ncrz(0.011) q[1], q[4];\ncrz(0.1423) q[1], q[3];\ncrz(-0.0539) q[1], q[2];\ncrz(-0.2921) q[1], q[0];\ncrz(0.3006) q[0], q[6];\ncrz(-0.0076) q[0], q[5];\ncrz(0.011) q[0], q[4];\ncrz(0.1423) q[0], q[3];\ncrz(-0.0539) q[0], q[2];\ncrz(0.0332) q[0], q[1];\nrx(0.0381) q[0];\nrz(0.0098) q[0];\nrx(0.5036) q[1];\nrz(0.0068) q[1];\nrx(0.5077) q[2];\nrz(0.0059) q[2];\nrx(-0.0106) q[3];\nrz(0.0039) q[3];\nrx(0.4681) q[4];\nrz(0.0072) q[4];\nrx(0.5067) q[5];\nrz(0.0088) q[5];\nrx(0.0297) q[6];\nrz(0.0055) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[6], q[5];\ncrz(x15) q[6], q[4];\ncrz(x16) q[6], q[3];\ncrz(x17) q[6], q[2];\ncrz(x18) q[6], q[1];\ncrz(x19) q[6], q[0];\ncrz(x20) q[5], q[6];\ncrz(x15) q[5], q[4];\ncrz(x16) q[5], q[3];\ncrz(x17) q[5], q[2];\ncrz(x18) q[5], q[1];\ncrz(x19) q[5], q[0];\ncrz(x20) q[4], q[6];\ncrz(x14) q[4], q[5];\ncrz(x16) q[4], q[3];\ncrz(x17) q[4], q[2];\ncrz(x18) q[4], q[1];\ncrz(x19) q[4], q[0];\ncrz(x20) q[3], q[6];\ncrz(x14) q[3], q[5];\ncrz(x15) q[3], q[4];\ncrz(x17) q[3], q[2];\ncrz(x18) q[3], q[1];\ncrz(x19) q[3], q[0];\ncrz(x20) q[2], q[6];\ncrz(x14) q[2], q[5];\ncrz(x15) q[2], q[4];\ncrz(x16) q[2], q[3];\ncrz(x18) q[2], q[1];\ncrz(x19) q[2], q[0];\ncrz(x20) q[1], q[6];\ncrz(x14) q[1], q[5];\ncrz(x15) q[1], q[4];\ncrz(x16) q[1], q[3];\ncrz(x17) q[1], q[2];\ncrz(x19) q[1], q[0];\ncrz(x20) q[0], q[6];\ncrz(x14) q[0], q[5];\ncrz(x15) q[0], q[4];\ncrz(x16) q[0], q[3];\ncrz(x17) q[0], q[2];\ncrz(x18) q[0], q[1];\nrx(x21) q[0];\nrz(x22) q[0];\nrx(x23) q[1];\nrz(x24) q[1];\nrx(x25) q[2];\nrz(x26) q[2];\nrx(x27) q[3];\nrz(x28) q[3];\nrx(x29) q[4];\nrz(x30) q[4];\nrx(x31) q[5];\nrz(x32) q[5];\nrx(x33) q[6];\nrz(x34) q[6];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x41) q[3];\nrz(x42) q[3];\nrx(x43) q[4];\nrz(x44) q[4];\nrx(x31) q[5];\nrz(x45) q[5];\nrx(x46) q[6];\nrz(x47) q[6];\ncrz(x48) q[6], q[5];\ncrz(x49) q[6], q[4];\ncrz(x50) q[6], q[3];\ncrz(x51) q[6], q[2];\ncrz(x52) q[6], q[1];\ncrz(x53) q[6], q[0];\ncrz(x54) q[5], q[6];\ncrz(x49) q[5], q[4];\ncrz(x50) q[5], q[3];\ncrz(x51) q[5], q[2];\ncrz(x52) q[5], q[1];\ncrz(x53) q[5], q[0];\ncrz(x54) q[4], q[6];\ncrz(x48) q[4], q[5];\ncrz(x50) q[4], q[3];\ncrz(x51) q[4], q[2];\ncrz(x52) q[4], q[1];\ncrz(x53) q[4], q[0];\ncrz(x54) q[3], q[6];\ncrz(x48) q[3], q[5];\ncrz(x49) q[3], q[4];\ncrz(x51) q[3], q[2];\ncrz(x52) q[3], q[1];\ncrz(x53) q[3], q[0];\ncrz(x54) q[2], q[6];\ncrz(x48) q[2], q[5];\ncrz(x49) q[2], q[4];\ncrz(x50) q[2], q[3];\ncrz(x52) q[2], q[1];\ncrz(x53) q[2], q[0];\ncrz(x54) q[1], q[6];\ncrz(x48) q[1], q[5];\ncrz(x49) q[1], q[4];\ncrz(x50) q[1], q[3];\ncrz(x51) q[1], q[2];\ncrz(x53) q[1], q[0];\ncrz(x54) q[0], q[6];\ncrz(x48) q[0], q[5];\ncrz(x49) q[0], q[4];\ncrz(x50) q[0], q[3];\ncrz(x51) q[0], q[2];\ncrz(x52) q[0], q[1];\nrx(x55) q[0];\nrz(x56) q[0];\nrx(x57) q[1];\nrz(x58) q[1];\nrx(x59) q[2];\nrz(x60) q[2];\nrx(x61) q[3];\nrz(x62) q[3];\nrx(x63) q[4];\nrz(x64) q[4];\nrx(x65) q[5];\nrz(x66) q[5];\nrx(x67) q[6];\nrz(x68) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["8b86b8c78e12bc4605ea690d344857fc","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [853, 981], \"expectation_value\": -2.821486847730801, \"params\": [[-0.1434, 1.4012, 1.3976000000000002, 0.4178, 1.2718, -0.0881, 1.0964, 0.0032, 0.7366, 0.08270000000000001, 0.9301], [0.0154, -0.00030000000000000003, 0.006500000000000001, -0.0206, 0.6663, 0.0206, 1.008, -0.0026000000000000003, 1.3859000000000001, -0.0238, 1.0577], [0.3916, 1.4017000000000002, 1.4024, 1.4033, 1.1191, 1.247, 1.0437, 0.0021000000000000003, 1.0087000000000002, 0.1864, 1.1524]], \"bitstrings\": [\"10010101010\", \"10000101010\"], \"total_optimization_steps\": 140, \"probabilities\": [0.2526135300466717, 0.3454048887383157], \"optimization_time\": 9.81853461265564}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(8)) + 0.25 * (Z(3) @ Z(8)) + -0.25 * (Z(0) @ Z(3) @ Z(8)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(1) @ Z(8)) + 0.0625 * (Z(9) @ Z(1)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(8) @ Z(4)) + 0.0625 * (Z(9) @ Z(4)) + 0.0625 * (Z(6) @ Z(8)) + 0.0625 * (Z(9) @ Z(6)) + 0.0625 * (Z(9) @ Z(8)) + -0.0625 * (Z(6) @ Z(1) @ Z(4)) + -0.0625 * (Z(1) @ Z(8) @ Z(4)) + -0.0625 * (Z(9) @ Z(1) @ Z(4)) + -0.0625 * (Z(6) @ Z(1) @ Z(8)) + -0.0625 * (Z(9) @ Z(1) @ Z(6)) + -0.0625 * (Z(9) @ Z(1) @ Z(8)) + -0.0625 * (Z(6) @ Z(8) @ Z(4)) + -0.0625 * (Z(9) @ Z(6) @ Z(4)) + -0.0625 * (Z(9) @ Z(8) @ Z(4)) + -0.0625 * (Z(9) @ Z(6) @ Z(8)) + 0.0625 * (Z(6) @ Z(1) @ Z(8) @ Z(4)) + 0.0625 * (Z(9) @ Z(1) @ Z(6) @ Z(4)) + 0.0625 * (Z(9) @ Z(1) @ Z(8) @ Z(4)) + 0.0625 * (Z(9) @ Z(1) @ Z(6) @ Z(8)) + 0.0625 * (Z(8) @ Z(9) @ Z(6) @ Z(4)) + -0.0625 * (Z(6) @ Z(1) @ Z(8) @ Z(4) @ Z(9)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(10) @ Z(2)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(9) @ Z(10)) + -0.125 * (Z(9) @ Z(2) @ Z(5)) + -0.125 * (Z(10) @ Z(2) @ Z(5)) + -0.125 * (Z(9) @ Z(10) @ Z(2)) + -0.125 * (Z(9) @ Z(10) @ Z(5)) + 0.125 * (Z(9) @ Z(10) @ Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(10)) + 0.0 * Z(0) + 0.1875 * Z(1) + 0.125 * Z(2) + 0.0 * Z(3) + 0.1875 * Z(4) + 0.125 * Z(5) + -0.0625 * Z(6) + -0.5 * Z(7) + 0.1875 * Z(8) + 0.3125 * Z(9) + -0.125 * Z(10)",10,11,2,"{\"smallest_eigenvalues\": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], \"number_of_smallest_eigenvalues\": 25, \"first_excited_energy\": -2.4375, \"smallest_bitstrings\": [\"10001001010\", \"00100101100\", \"00111001000\", \"01110001000\", \"00101001100\", \"10010010001\", \"10010001010\", \"10000101010\", \"10000101100\", \"10001101000\", \"10000110001\", \"00110011000\", \"10001010001\", \"10000111000\", \"00110001010\", \"01000101100\", \"00110001100\", \"10001001001\", \"10101001000\", \"01010101000\", \"00110010001\", \"01010001010\", \"11000101000\", \"01010001001\", \"01010010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(-0.1434) q[0];\nry(1.4012) q[1];\nry(1.3976) q[2];\nry(0.4178) q[3];\nry(1.2718) q[4];\nry(-0.0881) q[5];\nry(1.0964) q[6];\nry(0.0032) q[7];\nry(0.7366) q[8];\nry(0.0827) q[9];\nry(0.9301) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.0154) q[0];\nry(-0.0003) q[1];\nry(0.0065) q[2];\nry(-0.0206) q[3];\nry(0.6663) q[4];\nry(0.0206) q[5];\nry(1.008) q[6];\nry(-0.0026) q[7];\nry(1.3859) q[8];\nry(-0.0238) q[9];\nry(1.0577) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.3916) q[0];\nry(1.4017) q[1];\nry(1.4024) q[2];\nry(1.4033) q[3];\nry(1.1191) q[4];\nry(1.247) q[5];\nry(1.0437) q[6];\nry(0.0021) q[7];\nry(1.0087) q[8];\nry(0.1864) q[9];\nry(1.1524) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x15) q[4];\nry(x16) q[5];\nry(x17) q[6];\nry(x18) q[7];\nry(x19) q[8];\nry(x20) q[9];\nry(x21) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["6d259388045d20d69ae4242ad2e143d7","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 2}]}","{\"states\": [16, 9], \"expectation_value\": -4.193548698875964, \"params\": null, \"bitstrings\": [\"01111\", \"10110\"], \"total_optimization_steps\": 21, \"probabilities\": [0.07126123316379822, 0.8232615936107338], \"optimization_time\": 11.672809839248657}","-0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4)",1,5,4,"{\"smallest_eigenvalues\": [-4.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.75, \"smallest_bitstrings\": [\"10110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[2];\ncry(-1.5681) q[4], q[0];\nry(1.1029) q[4];\nry(-0.5495) q[0];\ncry(1.5106) q[4], q[1];\ncry(0.2629) q[1], q[4];\ncry(-1.3566) q[4], q[3];\ncry(-0.1181) q[1], q[0];\ncry(-0.5445) q[0], q[1];\nry(-0.1861) q[3];\nry(-0.1539) q[1];\ncry(0.1571) q[3], q[0];\ncry(-0.1124) q[3], q[1];\ncry(0.0564) q[0], q[3];\ncry(-0.0027) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"source\": 0, \"sink\": 4}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\ncry(-0.1124) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\ncry(-0.1124) q[3], q[1];\\ncry(0.0564) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\ncry(-0.1124) q[3], q[1];\\ncry(0.0564) q[0], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\ncry(-0.1124) q[3], q[1];\\ncry(0.0564) q[0], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\ncry(-0.1124) q[3], q[1];\\ncry(0.0564) q[0], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\ncry(-0.1124) q[3], q[1];\\ncry(0.0564) q[0], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\ncry(-0.1124) q[3], q[1];\\ncry(0.0564) q[0], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\ncry(-0.1124) q[3], q[1];\\ncry(0.0564) q[0], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[2];\\ncry(-1.5681) q[4], q[0];\\nry(1.1029) q[4];\\nry(-0.5495) q[0];\\ncry(1.5106) q[4], q[1];\\ncry(0.2629) q[1], q[4];\\ncry(-1.3566) q[4], q[3];\\ncry(-0.1181) q[1], q[0];\\ncry(-0.5445) q[0], q[1];\\nry(-0.1861) q[3];\\nry(-0.1539) q[1];\\ncry(0.1571) q[3], q[0];\\ncry(-0.1124) q[3], q[1];\\ncry(0.0564) q[0], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.995, 1.0016, 1.2343, 0.888, 0.6126, 0.5349, 0.4137, 0.251, 0.1143, 0.0859, 0.0815, 0.0357, 0.0238, 0.0112, 0.0078, 0.0072, 0.0054, 0.0053, 0.0047, 0.0033, 0.0026]}"]
["96aa688a41503b0eea4bda42198f6281","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 2}, {\"weight\": 13, \"source\": 0, \"target\": 5}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 17, \"source\": 3, \"target\": 5}, {\"weight\": 14, \"source\": 3, \"target\": 4}, {\"weight\": 11, \"source\": 3, \"target\": 6}, {\"weight\": 7, \"source\": 4, \"target\": 5}, {\"weight\": 6, \"source\": 6, \"target\": 7}]}","{\"states\": [221, 220], \"expectation_value\": -25.117921872361826, \"params\": [[0.0008, 0.0269, 0.0078000000000000005, -0.009000000000000001], [-0.0158, -0.0585, -0.0592, -0.049300000000000004]], \"bitstrings\": [\"100100010\", \"100100011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00646163825835377, 0.008687931534069371], \"optimization_time\": 8.212242603302002}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 12.0 * Z(1) + 2.0 * Z(0) + 15.5 * Z(2) + 10.5 * Z(3) + 16.0 * Z(4) + 22.0 * Z(5) + 14.5 * Z(6) + 8.0 * Z(7) + -1.5 * Z(8)",1,9,4,"{\"smallest_eigenvalues\": [-83.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -72.5, \"smallest_bitstrings\": [\"100100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.0072) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0072) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0072) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0072) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(0.0072) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.0072) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0072) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0072) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0072) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0072) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0072) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.0072) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.0072) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0072) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(0.0072) q[8];\ncx q[6], q[8];\nrz(0.0192) q[1];\nrz(0.0032) q[0];\nrz(0.0248) q[2];\nrz(0.0168) q[3];\nrz(0.0256) q[4];\nrz(0.0352) q[5];\nrz(0.0232) q[6];\nrz(0.0128) q[7];\nrz(-0.0024) q[8];\nh q[0];\nrz(-0.0316) q[0];\nh q[0];\nh q[1];\nrz(-0.0316) q[1];\nh q[1];\nh q[2];\nrz(-0.0316) q[2];\nh q[2];\nh q[3];\nrz(-0.0316) q[3];\nh q[3];\nh q[4];\nrz(-0.0316) q[4];\nh q[4];\nh q[5];\nrz(-0.0316) q[5];\nh q[5];\nh q[6];\nrz(-0.0316) q[6];\nh q[6];\nh q[7];\nrz(-0.0316) q[7];\nh q[7];\nh q[8];\nrz(-0.0316) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.2421) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2421) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2421) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.2421) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(0.2421) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.2421) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.2421) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.2421) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.2421) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.2421) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.2421) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.2421) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.2421) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.2421) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(0.2421) q[8];\ncx q[6], q[8];\nrz(0.6456) q[1];\nrz(0.1076) q[0];\nrz(0.8339) q[2];\nrz(0.5649) q[3];\nrz(0.8608) q[4];\nrz(1.1836) q[5];\nrz(0.7801) q[6];\nrz(0.4304) q[7];\nrz(-0.0807) q[8];\nh q[0];\nrz(-0.117) q[0];\nh q[0];\nh q[1];\nrz(-0.117) q[1];\nh q[1];\nh q[2];\nrz(-0.117) q[2];\nh q[2];\nh q[3];\nrz(-0.117) q[3];\nh q[3];\nh q[4];\nrz(-0.117) q[4];\nh q[4];\nh q[5];\nrz(-0.117) q[5];\nh q[5];\nh q[6];\nrz(-0.117) q[6];\nh q[6];\nh q[7];\nrz(-0.117) q[7];\nh q[7];\nh q[8];\nrz(-0.117) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0702) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0702) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0702) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0702) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(0.0702) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.0702) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0702) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0702) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0702) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0702) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0702) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.0702) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.0702) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0702) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(0.0702) q[8];\ncx q[6], q[8];\nrz(0.1872) q[1];\nrz(0.0312) q[0];\nrz(0.2418) q[2];\nrz(0.1638) q[3];\nrz(0.2496) q[4];\nrz(0.3432) q[5];\nrz(0.2262) q[6];\nrz(0.1248) q[7];\nrz(-0.0234) q[8];\nh q[0];\nrz(-0.1184) q[0];\nh q[0];\nh q[1];\nrz(-0.1184) q[1];\nh q[1];\nh q[2];\nrz(-0.1184) q[2];\nh q[2];\nh q[3];\nrz(-0.1184) q[3];\nh q[3];\nh q[4];\nrz(-0.1184) q[4];\nh q[4];\nh q[5];\nrz(-0.1184) q[5];\nh q[5];\nh q[6];\nrz(-0.1184) q[6];\nh q[6];\nh q[7];\nrz(-0.1184) q[7];\nh q[7];\nh q[8];\nrz(-0.1184) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.081) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.081) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.081) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.081) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(-0.081) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.081) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.081) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.081) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.081) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.081) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.081) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.081) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(-0.081) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.081) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(-0.081) q[8];\ncx q[6], q[8];\nrz(-0.216) q[1];\nrz(-0.036) q[0];\nrz(-0.279) q[2];\nrz(-0.189) q[3];\nrz(-0.288) q[4];\nrz(-0.396) q[5];\nrz(-0.261) q[6];\nrz(-0.144) q[7];\nrz(0.027) q[8];\nh q[0];\nrz(-0.0986) q[0];\nh q[0];\nh q[1];\nrz(-0.0986) q[1];\nh q[1];\nh q[2];\nrz(-0.0986) q[2];\nh q[2];\nh q[3];\nrz(-0.0986) q[3];\nh q[3];\nh q[4];\nrz(-0.0986) q[4];\nh q[4];\nh q[5];\nrz(-0.0986) q[5];\nh q[5];\nh q[6];\nrz(-0.0986) q[6];\nh q[6];\nh q[7];\nrz(-0.0986) q[7];\nh q[7];\nh q[8];\nrz(-0.0986) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x11) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x11) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x11) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x11) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x11) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x11) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(x11) q[8];\ncx q[6], q[8];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[2];\nrz(x15) q[3];\nrz(x16) q[4];\nrz(x17) q[5];\nrz(x18) q[6];\nrz(x19) q[7];\nrz(x20) q[8];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x22) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x22) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x22) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x22) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(x22) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x22) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x22) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x22) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x22) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x22) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x22) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x22) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x22) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x22) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(x22) q[8];\ncx q[6], q[8];\nrz(x23) q[1];\nrz(x24) q[0];\nrz(x25) q[2];\nrz(x26) q[3];\nrz(x27) q[4];\nrz(x28) q[5];\nrz(x29) q[6];\nrz(x30) q[7];\nrz(x31) q[8];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nh q[8];\nrz(x32) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x33) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x33) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x33) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x33) q[3];\ncx q[1], q[3];\ncx q[3], q[4];\nrz(x33) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x33) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x33) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x33) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x33) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x33) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x33) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x33) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x33) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x33) q[7];\ncx q[5], q[7];\ncx q[6], q[8];\nrz(x33) q[8];\ncx q[6], q[8];\nrz(x34) q[1];\nrz(x35) q[0];\nrz(x36) q[2];\nrz(x37) q[3];\nrz(x38) q[4];\nrz(x39) q[5];\nrz(x40) q[6];\nrz(x41) q[7];\nrz(x42) q[8];\nh q[0];\nrz(x43) q[0];\nh q[0];\nh q[1];\nrz(x43) q[1];\nh q[1];\nh q[2];\nrz(x43) q[2];\nh q[2];\nh q[3];\nrz(x43) q[3];\nh q[3];\nh q[4];\nrz(x43) q[4];\nh q[4];\nh q[5];\nrz(x43) q[5];\nh q[5];\nh q[6];\nrz(x43) q[6];\nh q[6];\nh q[7];\nrz(x43) q[7];\nh q[7];\nh q[8];\nrz(x43) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["ecdfa6719727c874685bdf2e4be77fdf","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 17, \"source\": 0, \"target\": 6}, {\"weight\": 12, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 15, \"source\": 2, \"target\": 4}, {\"weight\": 14, \"source\": 3, \"target\": 4}, {\"weight\": 7, \"source\": 4, \"target\": 5}, {\"weight\": 12, \"source\": 5, \"target\": 6}, {\"weight\": 9, \"source\": 6, \"target\": 7}]}","{\"states\": [347, 218], \"expectation_value\": -19.128666704021022, \"params\": [[0.0235, 0.0151, -0.0048000000000000004], [-0.0446, -0.056400000000000006, -0.055400000000000005]], \"bitstrings\": [\"010100100\", \"100100101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00611646930219862, 0.008036541253084428], \"optimization_time\": 5.901824951171875}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 4.0 * Z(0) + 10.5 * Z(2) + 5.0 * Z(3) + 16.5 * Z(4) + 11.5 * Z(5) + 8.0 * Z(6) + 10.5 * Z(7) + 4.5 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-72.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -63.0, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.2115) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.2115) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(0.2115) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(0.2115) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.2115) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(0.2115) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.2115) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(0.2115) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.2115) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.2115) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(0.2115) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(0.2115) q[8];\ncx q[1], q[8];\ncx q[7], q[8];\nrz(0.2115) q[8];\ncx q[7], q[8];\nrz(0.611) q[1];\nrz(0.188) q[0];\nrz(0.4935) q[2];\nrz(0.235) q[3];\nrz(0.7755) q[4];\nrz(0.5405) q[5];\nrz(0.376) q[6];\nrz(0.4935) q[7];\nrz(0.2115) q[8];\nh q[0];\nrz(-0.0892) q[0];\nh q[0];\nh q[1];\nrz(-0.0892) q[1];\nh q[1];\nh q[2];\nrz(-0.0892) q[2];\nh q[2];\nh q[3];\nrz(-0.0892) q[3];\nh q[3];\nh q[4];\nrz(-0.0892) q[4];\nh q[4];\nh q[5];\nrz(-0.0892) q[5];\nh q[5];\nh q[6];\nrz(-0.0892) q[6];\nh q[6];\nh q[7];\nrz(-0.0892) q[7];\nh q[7];\nh q[8];\nrz(-0.0892) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.1359) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.1359) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(0.1359) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(0.1359) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.1359) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(0.1359) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.1359) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(0.1359) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.1359) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.1359) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(0.1359) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(0.1359) q[8];\ncx q[1], q[8];\ncx q[7], q[8];\nrz(0.1359) q[8];\ncx q[7], q[8];\nrz(0.3926) q[1];\nrz(0.1208) q[0];\nrz(0.3171) q[2];\nrz(0.151) q[3];\nrz(0.4983) q[4];\nrz(0.3473) q[5];\nrz(0.2416) q[6];\nrz(0.3171) q[7];\nrz(0.1359) q[8];\nh q[0];\nrz(-0.1128) q[0];\nh q[0];\nh q[1];\nrz(-0.1128) q[1];\nh q[1];\nh q[2];\nrz(-0.1128) q[2];\nh q[2];\nh q[3];\nrz(-0.1128) q[3];\nh q[3];\nh q[4];\nrz(-0.1128) q[4];\nh q[4];\nh q[5];\nrz(-0.1128) q[5];\nh q[5];\nh q[6];\nrz(-0.1128) q[6];\nh q[6];\nh q[7];\nrz(-0.1128) q[7];\nh q[7];\nh q[8];\nrz(-0.1128) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.0432) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0432) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(-0.0432) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.0432) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0432) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.0432) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0432) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(-0.0432) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0432) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.0432) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.0432) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(-0.0432) q[8];\ncx q[1], q[8];\ncx q[7], q[8];\nrz(-0.0432) q[8];\ncx q[7], q[8];\nrz(-0.1248) q[1];\nrz(-0.0384) q[0];\nrz(-0.1008) q[2];\nrz(-0.048) q[3];\nrz(-0.1584) q[4];\nrz(-0.1104) q[5];\nrz(-0.0768) q[6];\nrz(-0.1008) q[7];\nrz(-0.0432) q[8];\nh q[0];\nrz(-0.1108) q[0];\nh q[0];\nh q[1];\nrz(-0.1108) q[1];\nh q[1];\nh q[2];\nrz(-0.1108) q[2];\nh q[2];\nh q[3];\nrz(-0.1108) q[3];\nh q[3];\nh q[4];\nrz(-0.1108) q[4];\nh q[4];\nh q[5];\nrz(-0.1108) q[5];\nh q[5];\nh q[6];\nrz(-0.1108) q[6];\nh q[6];\nh q[7];\nrz(-0.1108) q[7];\nh q[7];\nh q[8];\nrz(-0.1108) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x3) q[7];\nrz(x0) q[8];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x9) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x9) q[8];\ncx q[1], q[8];\ncx q[7], q[8];\nrz(x9) q[8];\ncx q[7], q[8];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[3];\nrz(x14) q[4];\nrz(x15) q[5];\nrz(x16) q[6];\nrz(x12) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nh q[8];\nrz(x17) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x18) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x18) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x18) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x18) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x18) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x18) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x18) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x18) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x18) q[8];\ncx q[1], q[8];\ncx q[7], q[8];\nrz(x18) q[8];\ncx q[7], q[8];\nrz(x19) q[1];\nrz(x20) q[0];\nrz(x21) q[2];\nrz(x22) q[3];\nrz(x23) q[4];\nrz(x24) q[5];\nrz(x25) q[6];\nrz(x21) q[7];\nrz(x18) q[8];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nh q[8];\nrz(x26) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["de612808f26ac84631be1357f8623a62","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}, {\"bipartite\": 1, \"id\": 15}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 7}, {\"weight\": 8, \"source\": 1, \"target\": 8}, {\"weight\": 20, \"source\": 1, \"target\": 11}, {\"weight\": 4, \"source\": 2, \"target\": 9}, {\"weight\": 14, \"source\": 2, \"target\": 8}, {\"weight\": 18, \"source\": 2, \"target\": 7}, {\"weight\": 3, \"source\": 3, \"target\": 10}, {\"weight\": 1, \"source\": 4, \"target\": 11}, {\"weight\": 2, \"source\": 5, \"target\": 12}, {\"weight\": 20, \"source\": 5, \"target\": 7}, {\"weight\": 20, \"source\": 5, \"target\": 9}, {\"weight\": 1, \"source\": 6, \"target\": 13}]}","{\"states\": [1478, 1414], \"expectation_value\": -119.7092591169004, \"params\": [0.5404, 0.3295, 1.1976, 0.09330000000000001, 0.6243000000000001, 0.41490000000000005, 1.1952, 0.11080000000000001, 1.2021000000000002, 0.0292, 0.786, 0.21400000000000002, 0.0025, 0.8888, 0.0033, -0.776, 0.457, 0.333, 1.1978, 0.1515, 1.2014, 0.006200000000000001, 0.0026000000000000003, 0.8928, 0.5438000000000001, 0.0068000000000000005, 1.1962000000000002, 0.003, 0.6214000000000001, 0.003, 1.2003000000000001, 0.0051, 1.2059, 0.0091, 0.7876000000000001, 0.004200000000000001, 0.0025, 0.0092, 0.0033, 0.009600000000000001, 0.4602, 0.009600000000000001, 1.2055, 0.0028, 1.1963000000000001, 0.0019, 0.0026000000000000003, 0.0039000000000000003, 0.20900000000000002, 0.004, 0.0032, 0.4199, 0.2826, 0.0036000000000000003, 0.0018000000000000002, 0.0167, 0.20950000000000002, 0.009600000000000001, 0.001, -0.8786, 0.7879, 0.0027, 0.007200000000000001, -0.3234, 0.3019, 0.0058000000000000005, 0.0059, -0.00030000000000000003, -0.869, 0.0001, 0.0018000000000000002, 0.0048000000000000004, 0.0028, 0.0073, 0.0013000000000000002, 0.005, 0.006200000000000001, 0.002, 0.0081, 0.0094, 0.0076, 0.0047, 0.0064, 0.0082, 0.0021000000000000003, 0.007500000000000001, 0.0037, 0.0031000000000000003, 0.0059, 0.0083, 0.0026000000000000003, 0.0032, 0.0086, 0.0007, 0.0035, 0.0098], \"bitstrings\": [\"101000111001\", \"101001111001\"], \"total_optimization_steps\": 120, \"probabilities\": [0.103181625723064, 0.10600024906557706], \"optimization_time\": 11.710025072097778}","8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(0) @ Z(3)) + 8.5 * (Z(5) @ Z(3)) + 8.5 * (Z(4) @ Z(2)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(7) @ Z(1)) + 8.5 * (Z(10) @ Z(5)) + 8.5 * (Z(8) @ Z(10)) + 8.5 * (Z(9) @ Z(3)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(9) @ Z(10)) + 8.5 * (Z(9) @ Z(8)) + 4.0 * Z(2) + 10.0 * Z(1) + 26.0 * Z(3) + 2.0 * Z(0) + 10.5 * Z(5) + 15.5 * Z(4) + -8.0 * Z(7) + 18.5 * Z(10) + 1.0 * Z(8) + 27.0 * Z(9) + -15.5 * Z(6) + -16.5 * Z(11)",16,12,2,"{\"smallest_eigenvalues\": [-179.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -153.0, \"smallest_bitstrings\": [\"101001111001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.5404) q[0];\nrz(0.3295) q[0];\nrx(1.1976) q[1];\nrz(0.0933) q[1];\nrx(0.6243) q[2];\nrz(0.4149) q[2];\nrx(1.1952) q[3];\nrz(0.1108) q[3];\nrx(1.2021) q[4];\nrz(0.0292) q[4];\nrx(0.786) q[5];\nrz(0.214) q[5];\nrx(0.0025) q[6];\nrz(0.8888) q[6];\nrx(0.0033) q[7];\nrz(-0.776) q[7];\nrx(0.457) q[8];\nrz(0.333) q[8];\nrx(1.1978) q[9];\nrz(0.1515) q[9];\nrx(1.2014) q[10];\nrz(0.0062) q[10];\nrx(0.0026) q[11];\nrz(0.8928) q[11];\ncrz(0.209) q[1], q[0];\ncrz(0.2826) q[3], q[2];\ncrz(0.2095) q[5], q[4];\ncrz(0.7879) q[7], q[6];\ncrz(0.3019) q[9], q[8];\ncrz(-0.869) q[11], q[10];\ncrz(0.4199) q[2], q[1];\ncrz(0.0167) q[4], q[3];\ncrz(-0.8786) q[6], q[5];\ncrz(-0.3234) q[8], q[7];\ncrz(-0.0003) q[10], q[9];\nrx(0.5438) q[0];\nrz(0.0068) q[0];\nrx(1.1962) q[1];\nrz(0.003) q[1];\nrx(0.6214) q[2];\nrz(0.003) q[2];\nrx(1.2003) q[3];\nrz(0.0051) q[3];\nrx(1.2059) q[4];\nrz(0.0091) q[4];\nrx(0.7876) q[5];\nrz(0.0042) q[5];\nrx(0.0025) q[6];\nrz(0.0092) q[6];\nrx(0.0033) q[7];\nrz(0.0096) q[7];\nrx(0.4602) q[8];\nrz(0.0096) q[8];\nrx(1.2055) q[9];\nrz(0.0028) q[9];\nrx(1.1963) q[10];\nrz(0.0019) q[10];\nrx(0.0026) q[11];\nrz(0.0039) q[11];\ncrz(0.0028) q[1], q[0];\ncrz(0.0062) q[3], q[2];\ncrz(0.0076) q[5], q[4];\ncrz(0.0021) q[7], q[6];\ncrz(0.0059) q[9], q[8];\ncrz(0.0086) q[11], q[10];\ncrz(0.005) q[2], q[1];\ncrz(0.0094) q[4], q[3];\ncrz(0.0082) q[6], q[5];\ncrz(0.0031) q[8], q[7];\ncrz(0.0032) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[1], q[0];\ncrz(x25) q[3], q[2];\ncrz(x26) q[5], q[4];\ncrz(x27) q[7], q[6];\ncrz(x28) q[9], q[8];\ncrz(x29) q[11], q[10];\ncrz(x30) q[2], q[1];\ncrz(x31) q[4], q[3];\ncrz(x32) q[6], q[5];\ncrz(x33) q[8], q[7];\ncrz(x34) q[10], q[9];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x38) q[2];\nrx(x40) q[3];\nrz(x41) q[3];\nrx(x42) q[4];\nrz(x43) q[4];\nrx(x44) q[5];\nrz(x45) q[5];\nrx(x12) q[6];\nrz(x46) q[6];\nrx(x14) q[7];\nrz(x47) q[7];\nrx(x48) q[8];\nrz(x47) q[8];\nrx(x49) q[9];\nrz(x50) q[9];\nrx(x51) q[10];\nrz(x52) q[10];\nrx(x22) q[11];\nrz(x53) q[11];\ncrz(x50) q[1], q[0];\ncrz(x21) q[3], q[2];\ncrz(x54) q[5], q[4];\ncrz(x55) q[7], q[6];\ncrz(x56) q[9], q[8];\ncrz(x57) q[11], q[10];\ncrz(x58) q[2], q[1];\ncrz(x59) q[4], q[3];\ncrz(x60) q[6], q[5];\ncrz(x61) q[8], q[7];\ncrz(x62) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}\"}","{\"circuits\": [], \"gradients\": []}"]
["a8cbc7b2d97b00e13208bba5a49e2bfd","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 8}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 8}, {\"capacity\": 3, \"source\": 3, \"target\": 10}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 5, \"target\": 10}, {\"capacity\": 3, \"source\": 6, \"target\": 7}, {\"capacity\": 2, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 8}, {\"capacity\": 2, \"source\": 7, \"target\": 9}, {\"capacity\": 1, \"source\": 7, \"target\": 10}, {\"capacity\": 2, \"source\": 8, \"target\": 3}, {\"capacity\": 2, \"source\": 8, \"target\": 4}, {\"capacity\": 4, \"source\": 8, \"target\": 5}, {\"capacity\": 1, \"source\": 8, \"target\": 6}, {\"capacity\": 3, \"source\": 8, \"target\": 9}, {\"capacity\": 2, \"source\": 9, \"target\": 5}, {\"capacity\": 1, \"source\": 9, \"target\": 7}, {\"capacity\": 4, \"source\": 9, \"target\": 8}]}","{\"states\": [2047, 1023], \"expectation_value\": -13.757296305404756, \"params\": [[[-0.0018000000000000002, -0.0011], [0.0012000000000000001, 0.0026000000000000003], [0.0061, 0.0022], [0.0088, 0.002], [0.0088, 0.0021000000000000003], [-0.0041, 0.0023], [0.0039000000000000003, -0.003], [0.0077, 0.0022], [0.004200000000000001, 0.0022], [0.0055000000000000005, 0.0022], [1.578, 0.010100000000000001]], [[-0.0056, 1.5953000000000002], [0.0024000000000000002, 0.0058000000000000005], [-0.0023, 0.002], [-0.0053, 0.0019], [-0.0046, 0.0019], [0.0088, 0.0019], [0.0011, 0.002], [-0.0017000000000000001, 0.0026000000000000003], [0.0006000000000000001, -0.003], [-0.0004, 0.0028], [-0.0009000000000000001, 0.0057]]], \"bitstrings\": [\"00000000000\", \"10000000000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.2542460572267549, 0.257942060795863], \"optimization_time\": 20.22888493537903}","-0.5 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(9) @ Z(7)) + -1.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(9)) + -1.25 * (Z(8) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(9)) + -1.0 * (Z(5) @ Z(6)) + 0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(8)) + -1.75 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(6)) + -0.75 * (Z(10) @ Z(8)) + 0.0 * Z(7) + -0.25 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.75 * Z(9) + 1.0 * Z(3) + -1.25 * Z(6) + -0.25 * Z(8) + -0.75 * Z(5) + -0.75 * Z(2) + 0.5 * Z(10)",15,11,2,"{\"smallest_eigenvalues\": [-14.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.5, \"smallest_bitstrings\": [\"10000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(-0.0018) q[0];\nry(0.0012) q[1];\nry(0.0061) q[2];\nry(0.0088) q[3];\nry(0.0088) q[4];\nry(-0.0041) q[5];\nry(0.0039) q[6];\nry(0.0077) q[7];\nry(0.0042) q[8];\nry(0.0055) q[9];\nry(1.578) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0011) q[0];\nry(0.0026) q[1];\nry(0.0022) q[2];\nry(0.002) q[3];\nry(0.0021) q[4];\nry(0.0023) q[5];\nry(-0.003) q[6];\nry(0.0022) q[7];\nry(0.0022) q[8];\nry(0.0022) q[9];\nry(0.0101) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(-0.0056) q[0];\nry(0.0024) q[1];\nry(-0.0023) q[2];\nry(-0.0053) q[3];\nry(-0.0046) q[4];\nry(0.0088) q[5];\nry(0.0011) q[6];\nry(-0.0017) q[7];\nry(0.0006) q[8];\nry(-0.0004) q[9];\nry(-0.0009) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.5953) q[0];\nry(0.0058) q[1];\nry(0.002) q[2];\nry(0.0019) q[3];\nry(0.0019) q[4];\nry(0.0019) q[5];\nry(0.002) q[6];\nry(0.0026) q[7];\nry(-0.003) q[8];\nry(0.0028) q[9];\nry(0.0057) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x3) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x6) q[7];\nry(x7) q[8];\nry(x8) q[9];\nry(x9) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x12) q[7];\nry(x12) q[8];\nry(x12) q[9];\nry(x17) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x3) q[5];\nry(x23) q[6];\nry(x24) q[7];\nry(x25) q[8];\nry(x26) q[9];\nry(x27) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x28) q[0];\nry(x29) q[1];\nry(x13) q[2];\nry(x30) q[3];\nry(x30) q[4];\nry(x30) q[5];\nry(x13) q[6];\nry(x11) q[7];\nry(x16) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["bb51b85a8f0cca1e878093cb2d4e9f25","hamiltonian_path","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 7, \"source\": 1, \"target\": 2}, {\"weight\": 43, \"source\": 1, \"target\": 3}, {\"weight\": 42, \"source\": 1, \"target\": 4}, {\"weight\": 5, \"source\": 2, \"target\": 3}, {\"weight\": 45, \"source\": 2, \"target\": 4}, {\"weight\": 7, \"source\": 3, \"target\": 4}, {\"weight\": 8, \"source\": 4, \"target\": 5}]}","{\"states\": [60375, 47085], \"expectation_value\": -14.03563597215056, \"params\": [[0.1549, 0.39780000000000004, 0.9019], [-0.5284, -0.24480000000000002, -0.1956]], \"bitstrings\": [\"0001010000101000\", \"0100100000010010\"], \"total_optimization_steps\": 230, \"probabilities\": [0.009656432807609139, 0.009656432807609144], \"optimization_time\": 107.39696502685547}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(12)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(6)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.5 * (Z(15) @ Z(3)) + 0.5 * (Z(15) @ Z(7)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(12)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(15) @ Z(14)) + 2.0 * Z(1) + 2.0 * Z(0) + 2.0 * Z(2) + 2.0 * Z(3) + 2.0 * Z(4) + 2.0 * Z(5) + 2.0 * Z(6) + 2.0 * Z(7) + 2.0 * Z(8) + 2.0 * Z(9) + 2.0 * Z(10) + 2.0 * Z(11) + 2.0 * Z(12) + 2.0 * Z(13) + 2.0 * Z(14) + 2.0 * Z(15)",1,16,3,"{\"smallest_eigenvalues\": [-15.999999999999988], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.999999999999956, \"smallest_bitstrings\": [\"0100100000010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(0.1549) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1549) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1549) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.1549) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.1549) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.1549) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.1549) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(0.1549) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.1549) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.1549) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.1549) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.1549) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(0.1549) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.1549) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.1549) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.1549) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(0.1549) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(0.1549) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(0.1549) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(0.1549) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(0.1549) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(0.1549) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(0.1549) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(0.1549) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(0.1549) q[10];\ncx q[9], q[10];\ncx q[3], q[11];\nrz(0.1549) q[11];\ncx q[3], q[11];\ncx q[7], q[11];\nrz(0.1549) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(0.1549) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(0.1549) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(0.1549) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(0.1549) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(0.1549) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(0.1549) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(0.1549) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(0.1549) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(0.1549) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(0.1549) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(0.1549) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(0.1549) q[14];\ncx q[6], q[14];\ncx q[10], q[14];\nrz(0.1549) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(0.1549) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(0.1549) q[14];\ncx q[13], q[14];\ncx q[3], q[15];\nrz(0.1549) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(0.1549) q[15];\ncx q[7], q[15];\ncx q[11], q[15];\nrz(0.1549) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(0.1549) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(0.1549) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(0.1549) q[15];\ncx q[14], q[15];\nrz(0.6196) q[1];\nrz(0.6196) q[0];\nrz(0.6196) q[2];\nrz(0.6196) q[3];\nrz(0.6196) q[4];\nrz(0.6196) q[5];\nrz(0.6196) q[6];\nrz(0.6196) q[7];\nrz(0.6196) q[8];\nrz(0.6196) q[9];\nrz(0.6196) q[10];\nrz(0.6196) q[11];\nrz(0.6196) q[12];\nrz(0.6196) q[13];\nrz(0.6196) q[14];\nrz(0.6196) q[15];\nh q[0];\nrz(-1.0568) q[0];\nh q[0];\nh q[1];\nrz(-1.0568) q[1];\nh q[1];\nh q[2];\nrz(-1.0568) q[2];\nh q[2];\nh q[3];\nrz(-1.0568) q[3];\nh q[3];\nh q[4];\nrz(-1.0568) q[4];\nh q[4];\nh q[5];\nrz(-1.0568) q[5];\nh q[5];\nh q[6];\nrz(-1.0568) q[6];\nh q[6];\nh q[7];\nrz(-1.0568) q[7];\nh q[7];\nh q[8];\nrz(-1.0568) q[8];\nh q[8];\nh q[9];\nrz(-1.0568) q[9];\nh q[9];\nh q[10];\nrz(-1.0568) q[10];\nh q[10];\nh q[11];\nrz(-1.0568) q[11];\nh q[11];\nh q[12];\nrz(-1.0568) q[12];\nh q[12];\nh q[13];\nrz(-1.0568) q[13];\nh q[13];\nh q[14];\nrz(-1.0568) q[14];\nh q[14];\nh q[15];\nrz(-1.0568) q[15];\nh q[15];\ncx q[1], q[0];\nrz(0.3978) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.3978) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.3978) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.3978) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.3978) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.3978) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.3978) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(0.3978) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.3978) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.3978) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.3978) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.3978) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(0.3978) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.3978) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.3978) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.3978) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(0.3978) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(0.3978) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(0.3978) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(0.3978) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(0.3978) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(0.3978) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(0.3978) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(0.3978) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(0.3978) q[10];\ncx q[9], q[10];\ncx q[3], q[11];\nrz(0.3978) q[11];\ncx q[3], q[11];\ncx q[7], q[11];\nrz(0.3978) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(0.3978) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(0.3978) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(0.3978) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(0.3978) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(0.3978) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(0.3978) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(0.3978) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(0.3978) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(0.3978) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(0.3978) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(0.3978) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(0.3978) q[14];\ncx q[6], q[14];\ncx q[10], q[14];\nrz(0.3978) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(0.3978) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(0.3978) q[14];\ncx q[13], q[14];\ncx q[3], q[15];\nrz(0.3978) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(0.3978) q[15];\ncx q[7], q[15];\ncx q[11], q[15];\nrz(0.3978) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(0.3978) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(0.3978) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(0.3978) q[15];\ncx q[14], q[15];\nrz(1.5912) q[1];\nrz(1.5912) q[0];\nrz(1.5912) q[2];\nrz(1.5912) q[3];\nrz(1.5912) q[4];\nrz(1.5912) q[5];\nrz(1.5912) q[6];\nrz(1.5912) q[7];\nrz(1.5912) q[8];\nrz(1.5912) q[9];\nrz(1.5912) q[10];\nrz(1.5912) q[11];\nrz(1.5912) q[12];\nrz(1.5912) q[13];\nrz(1.5912) q[14];\nrz(1.5912) q[15];\nh q[0];\nrz(-0.4896) q[0];\nh q[0];\nh q[1];\nrz(-0.4896) q[1];\nh q[1];\nh q[2];\nrz(-0.4896) q[2];\nh q[2];\nh q[3];\nrz(-0.4896) q[3];\nh q[3];\nh q[4];\nrz(-0.4896) q[4];\nh q[4];\nh q[5];\nrz(-0.4896) q[5];\nh q[5];\nh q[6];\nrz(-0.4896) q[6];\nh q[6];\nh q[7];\nrz(-0.4896) q[7];\nh q[7];\nh q[8];\nrz(-0.4896) q[8];\nh q[8];\nh q[9];\nrz(-0.4896) q[9];\nh q[9];\nh q[10];\nrz(-0.4896) q[10];\nh q[10];\nh q[11];\nrz(-0.4896) q[11];\nh q[11];\nh q[12];\nrz(-0.4896) q[12];\nh q[12];\nh q[13];\nrz(-0.4896) q[13];\nh q[13];\nh q[14];\nrz(-0.4896) q[14];\nh q[14];\nh q[15];\nrz(-0.4896) q[15];\nh q[15];\ncx q[1], q[0];\nrz(0.9019) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.9019) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.9019) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.9019) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.9019) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.9019) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.9019) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(0.9019) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.9019) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.9019) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.9019) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.9019) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(0.9019) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.9019) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.9019) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.9019) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(0.9019) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(0.9019) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(0.9019) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(0.9019) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(0.9019) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(0.9019) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(0.9019) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(0.9019) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(0.9019) q[10];\ncx q[9], q[10];\ncx q[3], q[11];\nrz(0.9019) q[11];\ncx q[3], q[11];\ncx q[7], q[11];\nrz(0.9019) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(0.9019) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(0.9019) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(0.9019) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(0.9019) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(0.9019) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(0.9019) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(0.9019) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(0.9019) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(0.9019) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(0.9019) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(0.9019) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(0.9019) q[14];\ncx q[6], q[14];\ncx q[10], q[14];\nrz(0.9019) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(0.9019) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(0.9019) q[14];\ncx q[13], q[14];\ncx q[3], q[15];\nrz(0.9019) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(0.9019) q[15];\ncx q[7], q[15];\ncx q[11], q[15];\nrz(0.9019) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(0.9019) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(0.9019) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(0.9019) q[15];\ncx q[14], q[15];\nrz(3.6076) q[1];\nrz(3.6076) q[0];\nrz(3.6076) q[2];\nrz(3.6076) q[3];\nrz(3.6076) q[4];\nrz(3.6076) q[5];\nrz(3.6076) q[6];\nrz(3.6076) q[7];\nrz(3.6076) q[8];\nrz(3.6076) q[9];\nrz(3.6076) q[10];\nrz(3.6076) q[11];\nrz(3.6076) q[12];\nrz(3.6076) q[13];\nrz(3.6076) q[14];\nrz(3.6076) q[15];\nh q[0];\nrz(-0.3912) q[0];\nh q[0];\nh q[1];\nrz(-0.3912) q[1];\nh q[1];\nh q[2];\nrz(-0.3912) q[2];\nh q[2];\nh q[3];\nrz(-0.3912) q[3];\nh q[3];\nh q[4];\nrz(-0.3912) q[4];\nh q[4];\nh q[5];\nrz(-0.3912) q[5];\nh q[5];\nh q[6];\nrz(-0.3912) q[6];\nh q[6];\nh q[7];\nrz(-0.3912) q[7];\nh q[7];\nh q[8];\nrz(-0.3912) q[8];\nh q[8];\nh q[9];\nrz(-0.3912) q[9];\nh q[9];\nh q[10];\nrz(-0.3912) q[10];\nh q[10];\nh q[11];\nrz(-0.3912) q[11];\nh q[11];\nh q[12];\nrz(-0.3912) q[12];\nh q[12];\nh q[13];\nrz(-0.3912) q[13];\nh q[13];\nh q[14];\nrz(-0.3912) q[14];\nh q[14];\nh q[15];\nrz(-0.3912) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x0) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(x0) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(x0) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(x0) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(x0) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(x0) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x0) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x0) q[10];\ncx q[9], q[10];\ncx q[3], q[11];\nrz(x0) q[11];\ncx q[3], q[11];\ncx q[7], q[11];\nrz(x0) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x0) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x0) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x0) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x0) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(x0) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(x0) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(x0) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x0) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(x0) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(x0) q[14];\ncx q[6], q[14];\ncx q[10], q[14];\nrz(x0) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x0) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x0) q[14];\ncx q[13], q[14];\ncx q[3], q[15];\nrz(x0) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(x0) q[15];\ncx q[7], q[15];\ncx q[11], q[15];\nrz(x0) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(x0) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(x0) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x0) q[15];\ncx q[14], q[15];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x1) q[3];\nrz(x1) q[4];\nrz(x1) q[5];\nrz(x1) q[6];\nrz(x1) q[7];\nrz(x1) q[8];\nrz(x1) q[9];\nrz(x1) q[10];\nrz(x1) q[11];\nrz(x1) q[12];\nrz(x1) q[13];\nrz(x1) q[14];\nrz(x1) q[15];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nh q[8];\nrz(x2) q[8];\nh q[8];\nh q[9];\nrz(x2) q[9];\nh q[9];\nh q[10];\nrz(x2) q[10];\nh q[10];\nh q[11];\nrz(x2) q[11];\nh q[11];\nh q[12];\nrz(x2) q[12];\nh q[12];\nh q[13];\nrz(x2) q[13];\nh q[13];\nh q[14];\nrz(x2) q[14];\nh q[14];\nh q[15];\nrz(x2) q[15];\nh q[15];\ncx q[1], q[0];\nrz(x3) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x3) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x3) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x3) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x3) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x3) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x3) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x3) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x3) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x3) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x3) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x3) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x3) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(x3) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(x3) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(x3) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(x3) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(x3) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x3) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x3) q[10];\ncx q[9], q[10];\ncx q[3], q[11];\nrz(x3) q[11];\ncx q[3], q[11];\ncx q[7], q[11];\nrz(x3) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x3) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x3) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x3) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x3) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x3) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(x3) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(x3) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(x3) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x3) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(x3) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(x3) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(x3) q[14];\ncx q[6], q[14];\ncx q[10], q[14];\nrz(x3) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x3) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x3) q[14];\ncx q[13], q[14];\ncx q[3], q[15];\nrz(x3) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(x3) q[15];\ncx q[7], q[15];\ncx q[11], q[15];\nrz(x3) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(x3) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(x3) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x3) q[15];\ncx q[14], q[15];\nrz(x4) q[1];\nrz(x4) q[0];\nrz(x4) q[2];\nrz(x4) q[3];\nrz(x4) q[4];\nrz(x4) q[5];\nrz(x4) q[6];\nrz(x4) q[7];\nrz(x4) q[8];\nrz(x4) q[9];\nrz(x4) q[10];\nrz(x4) q[11];\nrz(x4) q[12];\nrz(x4) q[13];\nrz(x4) q[14];\nrz(x4) q[15];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nh q[11];\nrz(x5) q[11];\nh q[11];\nh q[12];\nrz(x5) q[12];\nh q[12];\nh q[13];\nrz(x5) q[13];\nh q[13];\nh q[14];\nrz(x5) q[14];\nh q[14];\nh q[15];\nrz(x5) q[15];\nh q[15];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x6) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x6) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x6) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x6) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x6) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x6) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x6) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x6) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(x6) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(x6) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(x6) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(x6) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(x6) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x6) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x6) q[10];\ncx q[9], q[10];\ncx q[3], q[11];\nrz(x6) q[11];\ncx q[3], q[11];\ncx q[7], q[11];\nrz(x6) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x6) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x6) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x6) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x6) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x6) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(x6) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(x6) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(x6) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x6) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(x6) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(x6) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(x6) q[14];\ncx q[6], q[14];\ncx q[10], q[14];\nrz(x6) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x6) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x6) q[14];\ncx q[13], q[14];\ncx q[3], q[15];\nrz(x6) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(x6) q[15];\ncx q[7], q[15];\ncx q[11], q[15];\nrz(x6) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(x6) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(x6) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x6) q[15];\ncx q[14], q[15];\nrz(x7) q[1];\nrz(x7) q[0];\nrz(x7) q[2];\nrz(x7) q[3];\nrz(x7) q[4];\nrz(x7) q[5];\nrz(x7) q[6];\nrz(x7) q[7];\nrz(x7) q[8];\nrz(x7) q[9];\nrz(x7) q[10];\nrz(x7) q[11];\nrz(x7) q[12];\nrz(x7) q[13];\nrz(x7) q[14];\nrz(x7) q[15];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\nh q[9];\nrz(x8) q[9];\nh q[9];\nh q[10];\nrz(x8) q[10];\nh q[10];\nh q[11];\nrz(x8) q[11];\nh q[11];\nh q[12];\nrz(x8) q[12];\nh q[12];\nh q[13];\nrz(x8) q[13];\nh q[13];\nh q[14];\nrz(x8) q[14];\nh q[14];\nh q[15];\nrz(x8) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"start_node\": 0, \"end_node\": 5}","{\"circuits\": [], \"gradients\": []}"]
["9c501688ace9c1c29c4f2331e1f6f6c1","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 4, \"source\": 2, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 7}, {\"capacity\": 5, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 5, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 5, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 4, \"source\": 6, \"target\": 5}, {\"capacity\": 3, \"source\": 7, \"target\": 1}, {\"capacity\": 2, \"source\": 7, \"target\": 2}, {\"capacity\": 3, \"source\": 7, \"target\": 3}]}","{\"states\": [510, 1], \"expectation_value\": -0.6821682721696337, \"params\": [[0.0548], [-0.0439]], \"bitstrings\": [\"000000001\", \"111111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0024758049319716486, 0.002697229212082544], \"optimization_time\": 2.8448708057403564}","-1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(2)) + 3.25 * (Z(8) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(5)) + -1.25 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -2.0 * Z(4) + 0.75 * Z(5) + 1.5 * Z(6) + 2.25 * Z(8) + 1.0 * Z(7) + -2.0 * Z(1)",1,9,1,"{\"smallest_eigenvalues\": [-20.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.75, \"smallest_bitstrings\": [\"111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(-0.1096) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.0274) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(-0.0548) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0274) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.2192) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.137) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(-0.0548) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.137) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.1644) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.137) q[6];\ncx q[5], q[6];\ncx q[2], q[8];\nrz(-0.1096) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(0.3562) q[8];\ncx q[0], q[8];\ncx q[2], q[7];\nrz(-0.0548) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.137) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.0548) q[7];\ncx q[5], q[7];\ncx q[6], q[1];\nrz(-0.137) q[1];\ncx q[6], q[1];\ncx q[7], q[1];\nrz(-0.0822) q[1];\ncx q[7], q[1];\nrz(-0.0548) q[2];\nrz(-0.0274) q[0];\nrz(-0.0822) q[3];\nrz(-0.2192) q[4];\nrz(0.0822) q[5];\nrz(0.1644) q[6];\nrz(0.2466) q[8];\nrz(0.1096) q[7];\nrz(-0.2192) q[1];\nh q[0];\nrz(-0.0878) q[0];\nh q[0];\nh q[1];\nrz(-0.0878) q[1];\nh q[1];\nh q[2];\nrz(-0.0878) q[2];\nh q[2];\nh q[3];\nrz(-0.0878) q[3];\nh q[3];\nh q[4];\nrz(-0.0878) q[4];\nh q[4];\nh q[5];\nrz(-0.0878) q[5];\nh q[5];\nh q[6];\nrz(-0.0878) q[6];\nh q[6];\nh q[7];\nrz(-0.0878) q[7];\nh q[7];\nh q[8];\nrz(-0.0878) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x4) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x5) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x4) q[6];\ncx q[5], q[6];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(x6) q[8];\ncx q[0], q[8];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x4) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[6], q[1];\nrz(x4) q[1];\ncx q[6], q[1];\ncx q[7], q[1];\nrz(x7) q[1];\ncx q[7], q[1];\nrz(x2) q[2];\nrz(x1) q[0];\nrz(x7) q[3];\nrz(x3) q[4];\nrz(x8) q[5];\nrz(x9) q[6];\nrz(x10) q[8];\nrz(x11) q[7];\nrz(x3) q[1];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\nh q[8];\nrz(x12) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["2e176b1388169c31718c374b42e0c725","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}]}","{\"states\": [64, 63], \"expectation_value\": -4.047494532865959, \"params\": [[[-0.0317, 0.2852], [-0.0022, 0.0032], [0.0006000000000000001, -0.0025], [-0.004, -0.0026000000000000003], [-0.0015, 0.0019], [0.077, -0.09870000000000001], [1.6495000000000002, -0.035500000000000004]], [[-0.2743, -1.5810000000000002], [-0.0028, -0.29150000000000004], [-0.0056, -0.0032], [-0.0014, -0.0025], [-0.004200000000000001, -0.0029000000000000002], [-0.3059, 0.009600000000000001], [-0.08510000000000001, -0.042]]], \"bitstrings\": [\"0111111\", \"1000000\"], \"total_optimization_steps\": 170, \"probabilities\": [0.2511627659957748, 0.299815281905323], \"optimization_time\": 10.46360445022583}","-0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 * Z(2) + 0.25 * Z(3) + 0.75 * Z(4)",15,7,2,"{\"smallest_eigenvalues\": [-4.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.75, \"smallest_bitstrings\": [\"1000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nry(-0.0317) q[0];\nry(-0.0022) q[1];\nry(0.0006) q[2];\nry(-0.004) q[3];\nry(-0.0015) q[4];\nry(0.077) q[5];\nry(1.6495) q[6];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.2852) q[0];\nry(0.0032) q[1];\nry(-0.0025) q[2];\nry(-0.0026) q[3];\nry(0.0019) q[4];\nry(-0.0987) q[5];\nry(-0.0355) q[6];\ncx q[6], q[5];\ncx q[0], q[6];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\nry(-0.2743) q[0];\nry(-0.0028) q[1];\nry(-0.0056) q[2];\nry(-0.0014) q[3];\nry(-0.0042) q[4];\nry(-0.3059) q[5];\nry(-0.0851) q[6];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-1.581) q[0];\nry(-0.2915) q[1];\nry(-0.0032) q[2];\nry(-0.0025) q[3];\nry(-0.0029) q[4];\nry(0.0096) q[5];\nry(-0.042) q[6];\ncx q[6], q[5];\ncx q[0], q[6];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x7) q[0];\nry(x8) q[1];\nry(x9) q[2];\nry(x10) q[3];\nry(x11) q[4];\nry(x12) q[5];\nry(x13) q[6];\ncx q[6], q[5];\ncx q[0], q[6];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\nry(x14) q[0];\nry(x15) q[1];\nry(x16) q[2];\nry(x17) q[3];\nry(x18) q[4];\nry(x19) q[5];\nry(x20) q[6];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x9) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\ncx q[6], q[5];\ncx q[0], q[6];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["e26a7b0ced2794f5e9fb233975a2bd69","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 6}]}","{\"states\": [16350, 49118], \"expectation_value\": -20.91316723002322, \"params\": [-0.3889, 0.0868, -0.41750000000000004, 0.2706, 0.2273, 0.4182, -0.0318, -0.0819, 0.5219, -0.0176, 0.5251, -0.025500000000000002, 0.5195000000000001, 0.006200000000000001, 0.5227, -0.0094, 0.523, -0.0004, 0.5255000000000001, -0.0004, 0.5137, -0.0053, 0.5235000000000001, -0.005200000000000001, 0.5197, -0.005200000000000001, 0.5226000000000001, -0.0056, 0.5169, 0.0094, 0.5302, 0.0007, 0.5181, 0.0022, 0.5216000000000001, 0.003, 0.5176000000000001, 0.008, 0.5264, 0.0034000000000000002, 0.025400000000000002, 0.13490000000000002, 0.0025, 0.342, 0.5384, 0.1102, 0.5386000000000001, 0.12140000000000001, 0.5283, -0.0212, 0.5131, -0.0007, 0.5161, 0.0056, 0.5222, 0.0098, 0.5194, -0.006900000000000001, 0.5271, 0.0047, 0.0015, 0.3703, -0.0064, 0.7186, -0.3816, 0.34090000000000004, -0.39840000000000003, 0.5037, -0.0245, 0.1403, -0.0412, 0.1907, 0.5302, -0.0181, 0.5236000000000001, -0.0155, 0.5181, 0.0164, 0.5258, -0.0022, 0.5343, -0.0009000000000000001, 0.5284, 0.0011, 0.5327000000000001, -0.0032, 0.5327000000000001, -0.0045000000000000005, 0.5235000000000001, -0.0057, 0.5213, -0.003, 0.5302, 0.0007, 0.5279, 0.0033, 0.5337000000000001, 0.0029000000000000002, 0.5314, 0.004200000000000001, 0.5322, -0.0001, 0.5277000000000001, 0.0027, -0.025400000000000002, 0.4783, 0.012, 0.8197, 0.5730000000000001, 0.1374, 0.5469, 0.1371, 0.5596, -0.0034000000000000002, 0.56, 0.033100000000000004, 0.5315, 0.012, 0.5225000000000001, 0.013900000000000001, 0.5297000000000001, -0.0034000000000000002, 0.5281, 0.0007, 0.0011, 0.9497000000000001, -0.006, 0.8826, -0.3916, 1.0805, 0.4088, 0.0024000000000000002, -0.0597, 0.0878, -0.0178, 0.0001, 0.5155000000000001, -0.014100000000000001, 0.5091, 0.0019, 0.5245000000000001, 0.0146, 0.519, 0.0024000000000000002, 0.53, 0.0061, 0.5133, 0.0078000000000000005, 0.5277000000000001, -0.0032, 0.5286000000000001, 0.0009000000000000001, 0.5247, 0.0017000000000000001, 0.5151, 0.008400000000000001, 0.5299, 0.003, 0.5245000000000001, 0.0089, 0.5312, 0.0091, 0.5236000000000001, 0.007, 0.5283, 0.0035, 0.5254, 0.0078000000000000005, -0.0054, 0.7446, -0.0001, 0.0029000000000000002, 0.45120000000000005, 0.1457, 0.5063, 0.0058000000000000005, 0.49060000000000004, -0.0056, 0.48400000000000004, 0.0013000000000000002, 0.522, 0.0108, 0.5121, 0.0037, 0.5291, -0.003, 0.5255000000000001, 0.0085, -0.007500000000000001, 0.5741, -0.005200000000000001, 0.0058000000000000005, -0.5605, -0.025900000000000003, 0.0334, -0.0092, 0.0053, -0.006200000000000001, -0.042, 0.011600000000000001, 0.0049, -0.1058, 0.4208, -0.0148, 0.027200000000000002, 0.0206, -0.3568, 0.006200000000000001, -0.29050000000000004, -0.1532, -0.0054, 0.0089, -0.0021000000000000003, 0.0012000000000000001, 0.0094, -0.0061, -0.001, 0.5166000000000001, 0.4854, 0.0222, 0.0083, -0.017, -0.2973, 0.0094, -0.5263, 0.0004, -0.0151, 0.0015, 0.0204, 0.0033, -0.011300000000000001, 0.0, 0.011000000000000001, 0.0063, 0.547, 0.0082, -0.0684, 0.0061, 0.13090000000000002, 0.0077], \"bitstrings\": [\"1100000000100001\", \"0100000000100001\"], \"total_optimization_steps\": 250, \"probabilities\": [0.32748473626848656, 0.6647015100305055], \"optimization_time\": 266.90981936454773}","0.5 * (Z(4) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(5) @ Z(13)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + -0.5 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(14)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(14)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -0.5 * (Z(10) @ Z(13)) + -0.5 * (Z(10) @ Z(14)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(7)) + -0.5 * (Z(0) @ Z(10)) + -0.5 * (Z(1) @ Z(10)) + 0.375 * (Z(1) @ Z(0)) + 0.5 * (Z(11) @ Z(10)) + -0.5 * (Z(11) @ Z(0)) + -0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(12) @ Z(10)) + -0.5 * (Z(12) @ Z(0)) + -0.5 * (Z(12) @ Z(1)) + 1.0 * (Z(12) @ Z(11)) + -0.5 * (Z(2) @ Z(13)) + -0.5 * (Z(2) @ Z(14)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + -0.5 * (Z(3) @ Z(14)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(10)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(15) @ Z(14)) + -0.5 * (Z(15) @ Z(6)) + -0.5 * (Z(15) @ Z(7)) + -0.5 * (Z(15) @ Z(10)) + -0.5 * (Z(15) @ Z(2)) + -0.5 * (Z(15) @ Z(3)) + 1.0 * Z(13) + 5.0 * Z(4) + 1.0 * Z(14) + 5.0 * Z(5) + 4.0 * Z(6) + 4.0 * Z(7) + 3.0 * Z(8) + 3.0 * Z(9) + 1.5 * Z(10) + -0.75 * Z(0) + -0.75 * Z(1) + 1.5 * Z(11) + 1.5 * Z(12) + 0.75 * Z(2) + 0.75 * Z(3) + -1.0 * Z(15)",7,16,3,"{\"smallest_eigenvalues\": [-20.99999999999988], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -20.999999999999574, \"smallest_bitstrings\": [\"0100000000100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nrx(-0.3889) q[0];\nrz(0.0868) q[0];\nrx(0.2273) q[1];\nrz(0.4182) q[1];\nrx(0.5219) q[2];\nrz(-0.0176) q[2];\nrx(0.5195) q[3];\nrz(0.0062) q[3];\nrx(0.523) q[4];\nrz(-0.0004) q[4];\nrx(0.5137) q[5];\nrz(-0.0053) q[5];\nrx(0.5197) q[6];\nrz(-0.0052) q[6];\nrx(0.5169) q[7];\nrz(0.0094) q[7];\nrx(0.5181) q[8];\nrz(0.0022) q[8];\nrx(0.5176) q[9];\nrz(0.008) q[9];\nrx(0.0254) q[10];\nrz(0.1349) q[10];\nrx(0.5384) q[11];\nrz(0.1102) q[11];\nrx(0.5283) q[12];\nrz(-0.0212) q[12];\nrx(0.5161) q[13];\nrz(0.0056) q[13];\nrx(0.5194) q[14];\nrz(-0.0069) q[14];\nrx(0.0015) q[15];\nrz(0.3703) q[15];\ncrz(-0.5605) q[1], q[0];\ncrz(0.0334) q[3], q[2];\ncrz(0.0053) q[5], q[4];\ncrz(-0.042) q[7], q[6];\ncrz(0.0049) q[9], q[8];\ncrz(0.4208) q[11], q[10];\ncrz(0.0272) q[13], q[12];\ncrz(-0.3568) q[15], q[14];\nrx(-0.4175) q[0];\nrz(0.2706) q[0];\nrx(-0.0318) q[1];\nrz(-0.0819) q[1];\nrx(0.5251) q[2];\nrz(-0.0255) q[2];\nrx(0.5227) q[3];\nrz(-0.0094) q[3];\nrx(0.5255) q[4];\nrz(-0.0004) q[4];\nrx(0.5235) q[5];\nrz(-0.0052) q[5];\nrx(0.5226) q[6];\nrz(-0.0056) q[6];\nrx(0.5302) q[7];\nrz(0.0007) q[7];\nrx(0.5216) q[8];\nrz(0.003) q[8];\nrx(0.5264) q[9];\nrz(0.0034) q[9];\nrx(0.0025) q[10];\nrz(0.342) q[10];\nrx(0.5386) q[11];\nrz(0.1214) q[11];\nrx(0.5131) q[12];\nrz(-0.0007) q[12];\nrx(0.5222) q[13];\nrz(0.0098) q[13];\nrx(0.5271) q[14];\nrz(0.0047) q[14];\nrx(-0.0064) q[15];\nrz(0.7186) q[15];\ncrz(-0.0259) q[2], q[1];\ncrz(-0.0092) q[4], q[3];\ncrz(-0.0062) q[6], q[5];\ncrz(0.0116) q[8], q[7];\ncrz(-0.1058) q[10], q[9];\ncrz(-0.0148) q[12], q[11];\ncrz(0.0206) q[14], q[13];\nrx(-0.3816) q[0];\nrz(0.3409) q[0];\nrx(-0.0245) q[1];\nrz(0.1403) q[1];\nrx(0.5302) q[2];\nrz(-0.0181) q[2];\nrx(0.5181) q[3];\nrz(0.0164) q[3];\nrx(0.5343) q[4];\nrz(-0.0009) q[4];\nrx(0.5327) q[5];\nrz(-0.0032) q[5];\nrx(0.5235) q[6];\nrz(-0.0057) q[6];\nrx(0.5302) q[7];\nrz(0.0007) q[7];\nrx(0.5337) q[8];\nrz(0.0029) q[8];\nrx(0.5322) q[9];\nrz(-0.0001) q[9];\nrx(-0.0254) q[10];\nrz(0.4783) q[10];\nrx(0.573) q[11];\nrz(0.1374) q[11];\nrx(0.5596) q[12];\nrz(-0.0034) q[12];\nrx(0.5315) q[13];\nrz(0.012) q[13];\nrx(0.5297) q[14];\nrz(-0.0034) q[14];\nrx(0.0011) q[15];\nrz(0.9497) q[15];\ncrz(-0.2905) q[1], q[0];\ncrz(-0.0054) q[3], q[2];\ncrz(-0.0021) q[5], q[4];\ncrz(0.0094) q[7], q[6];\ncrz(-0.001) q[9], q[8];\ncrz(0.4854) q[11], q[10];\ncrz(0.0083) q[13], q[12];\ncrz(-0.2973) q[15], q[14];\nrx(-0.3984) q[0];\nrz(0.5037) q[0];\nrx(-0.0412) q[1];\nrz(0.1907) q[1];\nrx(0.5236) q[2];\nrz(-0.0155) q[2];\nrx(0.5258) q[3];\nrz(-0.0022) q[3];\nrx(0.5284) q[4];\nrz(0.0011) q[4];\nrx(0.5327) q[5];\nrz(-0.0045) q[5];\nrx(0.5213) q[6];\nrz(-0.003) q[6];\nrx(0.5279) q[7];\nrz(0.0033) q[7];\nrx(0.5314) q[8];\nrz(0.0042) q[8];\nrx(0.5277) q[9];\nrz(0.0027) q[9];\nrx(0.012) q[10];\nrz(0.8197) q[10];\nrx(0.5469) q[11];\nrz(0.1371) q[11];\nrx(0.56) q[12];\nrz(0.0331) q[12];\nrx(0.5225) q[13];\nrz(0.0139) q[13];\nrx(0.5281) q[14];\nrz(0.0007) q[14];\nrx(-0.006) q[15];\nrz(0.8826) q[15];\ncrz(-0.1532) q[2], q[1];\ncrz(0.0089) q[4], q[3];\ncrz(0.0012) q[6], q[5];\ncrz(-0.0061) q[8], q[7];\ncrz(0.5166) q[10], q[9];\ncrz(0.0222) q[12], q[11];\ncrz(-0.017) q[14], q[13];\nrx(-0.3916) q[0];\nrz(1.0805) q[0];\nrx(-0.0597) q[1];\nrz(0.0878) q[1];\nrx(0.5155) q[2];\nrz(-0.0141) q[2];\nrx(0.5245) q[3];\nrz(0.0146) q[3];\nrx(0.53) q[4];\nrz(0.0061) q[4];\nrx(0.5277) q[5];\nrz(-0.0032) q[5];\nrx(0.5247) q[6];\nrz(0.0017) q[6];\nrx(0.5299) q[7];\nrz(0.003) q[7];\nrx(0.5312) q[8];\nrz(0.0091) q[8];\nrx(0.5283) q[9];\nrz(0.0035) q[9];\nrx(-0.0054) q[10];\nrz(0.7446) q[10];\nrx(0.4512) q[11];\nrz(0.1457) q[11];\nrx(0.4906) q[12];\nrz(-0.0056) q[12];\nrx(0.522) q[13];\nrz(0.0108) q[13];\nrx(0.5291) q[14];\nrz(-0.003) q[14];\nrx(-0.0075) q[15];\nrz(0.5741) q[15];\ncrz(-0.5263) q[1], q[0];\ncrz(-0.0151) q[3], q[2];\ncrz(0.0204) q[5], q[4];\ncrz(-0.0113) q[7], q[6];\ncrz(0.011) q[9], q[8];\ncrz(0.547) q[11], q[10];\ncrz(-0.0684) q[13], q[12];\ncrz(0.1309) q[15], q[14];\nrx(0.4088) q[0];\nrz(0.0024) q[0];\nrx(-0.0178) q[1];\nrz(0.0001) q[1];\nrx(0.5091) q[2];\nrz(0.0019) q[2];\nrx(0.519) q[3];\nrz(0.0024) q[3];\nrx(0.5133) q[4];\nrz(0.0078) q[4];\nrx(0.5286) q[5];\nrz(0.0009) q[5];\nrx(0.5151) q[6];\nrz(0.0084) q[6];\nrx(0.5245) q[7];\nrz(0.0089) q[7];\nrx(0.5236) q[8];\nrz(0.007) q[8];\nrx(0.5254) q[9];\nrz(0.0078) q[9];\nrx(-0.0001) q[10];\nrz(0.0029) q[10];\nrx(0.5063) q[11];\nrz(0.0058) q[11];\nrx(0.484) q[12];\nrz(0.0013) q[12];\nrx(0.5121) q[13];\nrz(0.0037) q[13];\nrx(0.5255) q[14];\nrz(0.0085) q[14];\nrx(-0.0052) q[15];\nrz(0.0058) q[15];\ncrz(0.0004) q[2], q[1];\ncrz(0.0015) q[4], q[3];\ncrz(0.0033) q[6], q[5];\ncrz(0) q[8], q[7];\ncrz(0.0063) q[10], q[9];\ncrz(0.0082) q[12], q[11];\ncrz(0.0061) q[14], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x179;\ninput float[64] x18;\ninput float[64] x180;\ninput float[64] x181;\ninput float[64] x182;\ninput float[64] x183;\ninput float[64] x184;\ninput float[64] x185;\ninput float[64] x186;\ninput float[64] x187;\ninput float[64] x188;\ninput float[64] x189;\ninput float[64] x19;\ninput float[64] x190;\ninput float[64] x191;\ninput float[64] x192;\ninput float[64] x193;\ninput float[64] x194;\ninput float[64] x195;\ninput float[64] x196;\ninput float[64] x197;\ninput float[64] x198;\ninput float[64] x199;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x200;\ninput float[64] x201;\ninput float[64] x202;\ninput float[64] x203;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[16] c;\nqubit[16] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\nrx(x24) q[12];\nrz(x25) q[12];\nrx(x26) q[13];\nrz(x27) q[13];\nrx(x28) q[14];\nrz(x29) q[14];\nrx(x30) q[15];\nrz(x31) q[15];\ncrz(x32) q[1], q[0];\ncrz(x33) q[3], q[2];\ncrz(x34) q[5], q[4];\ncrz(x35) q[7], q[6];\ncrz(x36) q[9], q[8];\ncrz(x37) q[11], q[10];\ncrz(x38) q[13], q[12];\ncrz(x39) q[15], q[14];\nrx(x40) q[0];\nrz(x41) q[0];\nrx(x42) q[1];\nrz(x43) q[1];\nrx(x44) q[2];\nrz(x45) q[2];\nrx(x46) q[3];\nrz(x47) q[3];\nrx(x48) q[4];\nrz(x9) q[4];\nrx(x49) q[5];\nrz(x13) q[5];\nrx(x50) q[6];\nrz(x51) q[6];\nrx(x52) q[7];\nrz(x53) q[7];\nrx(x54) q[8];\nrz(x55) q[8];\nrx(x56) q[9];\nrz(x57) q[9];\nrx(x58) q[10];\nrz(x59) q[10];\nrx(x60) q[11];\nrz(x61) q[11];\nrx(x62) q[12];\nrz(x63) q[12];\nrx(x64) q[13];\nrz(x65) q[13];\nrx(x66) q[14];\nrz(x67) q[14];\nrx(x68) q[15];\nrz(x69) q[15];\ncrz(x70) q[2], q[1];\ncrz(x71) q[4], q[3];\ncrz(x72) q[6], q[5];\ncrz(x73) q[8], q[7];\ncrz(x74) q[10], q[9];\ncrz(x75) q[12], q[11];\ncrz(x76) q[14], q[13];\nrx(x77) q[0];\nrz(x78) q[0];\nrx(x79) q[1];\nrz(x80) q[1];\nrx(x52) q[2];\nrz(x81) q[2];\nrx(x16) q[3];\nrz(x82) q[3];\nrx(x83) q[4];\nrz(x84) q[4];\nrx(x85) q[5];\nrz(x86) q[5];\nrx(x49) q[6];\nrz(x87) q[6];\nrx(x52) q[7];\nrz(x53) q[7];\nrx(x88) q[8];\nrz(x89) q[8];\nrx(x90) q[9];\nrz(x91) q[9];\nrx(x92) q[10];\nrz(x93) q[10];\nrx(x94) q[11];\nrz(x95) q[11];\nrx(x96) q[12];\nrz(x97) q[12];\nrx(x98) q[13];\nrz(x99) q[13];\nrx(x100) q[14];\nrz(x97) q[14];\nrx(x101) q[15];\nrz(x102) q[15];\ncrz(x103) q[1], q[0];\ncrz(x104) q[3], q[2];\ncrz(x105) q[5], q[4];\ncrz(x15) q[7], q[6];\ncrz(x106) q[9], q[8];\ncrz(x107) q[11], q[10];\ncrz(x108) q[13], q[12];\ncrz(x109) q[15], q[14];\nrx(x110) q[0];\nrz(x111) q[0];\nrx(x112) q[1];\nrz(x113) q[1];\nrx(x114) q[2];\nrz(x115) q[2];\nrx(x116) q[3];\nrz(x117) q[3];\nrx(x118) q[4];\nrz(x101) q[4];\nrx(x85) q[5];\nrz(x119) q[5];\nrx(x120) q[6];\nrz(x121) q[6];\nrx(x122) q[7];\nrz(x123) q[7];\nrx(x124) q[8];\nrz(x125) q[8];\nrx(x126) q[9];\nrz(x127) q[9];\nrx(x99) q[10];\nrz(x128) q[10];\nrx(x129) q[11];\nrz(x130) q[11];\nrx(x131) q[12];\nrz(x132) q[12];\nrx(x133) q[13];\nrz(x134) q[13];\nrx(x135) q[14];\nrz(x53) q[14];\nrx(x136) q[15];\nrz(x137) q[15];\ncrz(x138) q[2], q[1];\ncrz(x139) q[4], q[3];\ncrz(x140) q[6], q[5];\ncrz(x141) q[8], q[7];\ncrz(x142) q[10], q[9];\ncrz(x143) q[12], q[11];\ncrz(x144) q[14], q[13];\nrx(x145) q[0];\nrz(x146) q[0];\nrx(x147) q[1];\nrz(x148) q[1];\nrx(x149) q[2];\nrz(x150) q[2];\nrx(x151) q[3];\nrz(x152) q[3];\nrx(x153) q[4];\nrz(x154) q[4];\nrx(x126) q[5];\nrz(x86) q[5];\nrx(x155) q[6];\nrz(x156) q[6];\nrx(x157) q[7];\nrz(x55) q[7];\nrx(x158) q[8];\nrz(x159) q[8];\nrx(x24) q[9];\nrz(x160) q[9];\nrx(x104) q[10];\nrz(x161) q[10];\nrx(x162) q[11];\nrz(x163) q[11];\nrx(x164) q[12];\nrz(x51) q[12];\nrx(x165) q[13];\nrz(x166) q[13];\nrx(x167) q[14];\nrz(x121) q[14];\nrx(x168) q[15];\nrz(x169) q[15];\ncrz(x170) q[1], q[0];\ncrz(x171) q[3], q[2];\ncrz(x172) q[5], q[4];\ncrz(x173) q[7], q[6];\ncrz(x174) q[9], q[8];\ncrz(x175) q[11], q[10];\ncrz(x176) q[13], q[12];\ncrz(x177) q[15], q[14];\nrx(x178) q[0];\nrz(x179) q[0];\nrx(x180) q[1];\nrz(x181) q[1];\nrx(x182) q[2];\nrz(x183) q[2];\nrx(x184) q[3];\nrz(x179) q[3];\nrx(x185) q[4];\nrz(x186) q[4];\nrx(x187) q[5];\nrz(x188) q[5];\nrx(x189) q[6];\nrz(x190) q[6];\nrx(x151) q[7];\nrz(x139) q[7];\nrx(x114) q[8];\nrz(x191) q[8];\nrx(x192) q[9];\nrz(x186) q[9];\nrx(x91) q[10];\nrz(x89) q[10];\nrx(x193) q[11];\nrz(x194) q[11];\nrx(x195) q[12];\nrz(x196) q[12];\nrx(x197) q[13];\nrz(x198) q[13];\nrx(x48) q[14];\nrz(x199) q[14];\nrx(x13) q[15];\nrz(x194) q[15];\ncrz(x200) q[2], q[1];\ncrz(x30) q[4], q[3];\ncrz(x123) q[6], q[5];\ncrz(x201) q[8], q[7];\ncrz(x202) q[10], q[9];\ncrz(x203) q[12], q[11];\ncrz(x154) q[14], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["f20b14ccaf46fd91ed39b9c05edbe906","hamiltonian_path","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 30, \"source\": 0, \"target\": 3}, {\"weight\": 27, \"source\": 0, \"target\": 4}, {\"weight\": 32, \"source\": 0, \"target\": 2}, {\"weight\": 10, \"source\": 1, \"target\": 2}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 2, \"source\": 3, \"target\": 4}]}","{\"states\": [1623, 1751], \"expectation_value\": -7.485170014837302, \"params\": null, \"bitstrings\": [\"00110101000\", \"00100101000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.49730634434571963, 0.49730634434571963], \"optimization_time\": 247.41759514808655}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + 0.25 * (Z(10) @ Z(2)) + 0.25 * (Z(3) @ Z(9)) + 1.5 * Z(1) + 1.25 * Z(0) + 1.5 * Z(2) + 1.0 * Z(4) + 1.0 * Z(5) + 1.0 * Z(6) + 1.25 * Z(7) + 1.5 * Z(8) + 1.5 * Z(9) + 0.25 * Z(10) + 0.25 * Z(3)",5,11,2,"{\"smallest_eigenvalues\": [-7.5, -7.5, -7.5, -7.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"00100101000\", \"00110101000\", \"10000100010\", \"10000100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[9];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[4];\ncry(1.4449) q[4], q[8];\ncry(-1.4433) q[8], q[5];\ncry(-1.4433) q[8], q[7];\nry(1.4416) q[0];\ncry(1.44) q[8], q[6];\ncry(-1.5469) q[6], q[2];\ncry(1.4436) q[1], q[10];\ncry(-0.1274) q[9], q[7];\ncry(-0.1274) q[6], q[5];\ncry(0.1291) q[1], q[0];\nry(0.0937) q[6];\nry(0.0528) q[8];\nry(0.12) q[10];\ncry(-0.0282) q[8], q[2];\ncry(-0.001) q[6], q[8];\ncry(0.0001) q[10], q[1];\ncry(-0.0014) q[10], q[7];\ncry(0.0002) q[10], q[5];\ncry(0.0008) q[10], q[2];\ncry(0.001) q[10], q[8];\ncry(0.0001) q[10], q[0];\ncry(0.0019) q[8], q[4];\ncry(0.0001) q[10], q[4];\ncry(0.0014) q[10], q[6];\ncry(-0.0001) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"start_node\": 0, \"end_node\": 4}",{"$cut":{"chars":90124,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5708) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5708) q[9];\\nry(1.5706) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5708) q[9];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5708) q[9];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[4];\\ncry(1.4449) q[4], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5708) q[9];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[4];\\ncry(1.4449) q[4], q[8];\\ncry(-1.4433) q[8], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5708) q[9];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[4];\\ncry(1.4449) q[4], q[8];\\ncry(-1.4433) q[8], q[5];\\ncry(-1.4433) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5708) q[9];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[4];\\ncry(1.4449) q[4], q[8];\\ncry(-1.4433) q[8], q[5];\\ncry(-1.4433) q[8], q[7];\\nry(1.4416) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5708) q[9];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[4];\\ncry(1.4449) q[4], q[8];\\ncry(-1.4433) q[8], q[5];\\ncry(-1.4433) q[8], q[7];\\nry(1.4416) q[0];\\ncry(1.44) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q["}}]
["b17ad025da53e011c439f4958566aa09","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 0, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 9}, {\"weight\": 7, \"source\": 1, \"target\": 10}, {\"weight\": 15, \"source\": 1, \"target\": 12}, {\"weight\": 6, \"source\": 2, \"target\": 11}, {\"weight\": 17, \"source\": 2, \"target\": 9}, {\"weight\": 6, \"source\": 3, \"target\": 12}, {\"weight\": 18, \"source\": 7, \"target\": 9}, {\"weight\": 19, \"source\": 7, \"target\": 10}, {\"weight\": 20, \"source\": 8, \"target\": 12}]}","{\"states\": [86, 87], \"expectation_value\": -57.44243322672923, \"params\": [[[0.6928000000000001, 0.2717], [-0.0099, 0.1991], [0.6986, 0.6928000000000001], [0.0381, 0.7026], [0.6951, 0.6838000000000001], [0.3249, 0.6924], [0.3904, 0.7043], [0.678, 0.6883], [0.6925, 0.6894]], [[0.7022, 0.2906], [0.027100000000000003, 0.1885], [0.6959000000000001, 0.6921], [0.1379, 0.7016], [0.6413, 0.6795], [0.3423, 0.6414000000000001], [0.5539000000000001, 0.553], [0.40390000000000004, 0.4713], [0.2551, 0.4752]], [[0.6599, 0.0703], [0.09910000000000001, 0.0767], [0.7030000000000001, 0.0922], [-0.11560000000000001, 0.2029], [0.7004, 0.48200000000000004], [0.1323, 0.3356], [0.6965, 0.4762], [0.061000000000000006, 0.13770000000000002], [0.6788000000000001, 0.0883]]], \"bitstrings\": [\"110101001\", \"110101000\"], \"total_optimization_steps\": 70, \"probabilities\": [0.14502632590710005, 0.15712781872839246], \"optimization_time\": 44.342875957489014}","7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(5)) + 3.5 * Z(1) + 14.5 * Z(2) + 15.5 * Z(4) + 5.0 * Z(0) + -4.0 * Z(3) + 3.0 * Z(5) + 16.0 * Z(7) + 9.5 * Z(6) + 10.0 * Z(8)",15,9,3,"{\"smallest_eigenvalues\": [-86.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -78.0, \"smallest_bitstrings\": [\"110101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.6928) q[0];\nry(-0.0099) q[1];\nry(0.6986) q[2];\nry(0.0381) q[3];\nry(0.6951) q[4];\nry(0.3249) q[5];\nry(0.3904) q[6];\nry(0.678) q[7];\nry(0.6925) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.2717) q[0];\nry(0.1991) q[1];\nry(0.6928) q[2];\nry(0.7026) q[3];\nry(0.6838) q[4];\nry(0.6924) q[5];\nry(0.7043) q[6];\nry(0.6883) q[7];\nry(0.6894) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.7022) q[0];\nry(0.0271) q[1];\nry(0.6959) q[2];\nry(0.1379) q[3];\nry(0.6413) q[4];\nry(0.3423) q[5];\nry(0.5539) q[6];\nry(0.4039) q[7];\nry(0.2551) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.2906) q[0];\nry(0.1885) q[1];\nry(0.6921) q[2];\nry(0.7016) q[3];\nry(0.6795) q[4];\nry(0.6414) q[5];\nry(0.553) q[6];\nry(0.4713) q[7];\nry(0.4752) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.6599) q[0];\nry(0.0991) q[1];\nry(0.703) q[2];\nry(-0.1156) q[3];\nry(0.7004) q[4];\nry(0.1323) q[5];\nry(0.6965) q[6];\nry(0.061) q[7];\nry(0.6788) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0703) q[0];\nry(0.0767) q[1];\nry(0.0922) q[2];\nry(0.2029) q[3];\nry(0.482) q[4];\nry(0.3356) q[5];\nry(0.4762) q[6];\nry(0.1377) q[7];\nry(0.0883) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x0) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\nry(x16) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x17) q[0];\nry(x18) q[1];\nry(x19) q[2];\nry(x20) q[3];\nry(x21) q[4];\nry(x22) q[5];\nry(x23) q[6];\nry(x24) q[7];\nry(x25) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x26) q[0];\nry(x27) q[1];\nry(x28) q[2];\nry(x29) q[3];\nry(x30) q[4];\nry(x31) q[5];\nry(x32) q[6];\nry(x33) q[7];\nry(x34) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x35) q[0];\nry(x36) q[1];\nry(x37) q[2];\nry(x38) q[3];\nry(x39) q[4];\nry(x40) q[5];\nry(x41) q[6];\nry(x42) q[7];\nry(x43) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x44) q[0];\nry(x45) q[1];\nry(x46) q[2];\nry(x47) q[3];\nry(x48) q[4];\nry(x49) q[5];\nry(x50) q[6];\nry(x51) q[7];\nry(x52) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \\\"right_nodes\\\": [9, 10, 11, 12]}\"}","{\"circuits\": [], \"gradients\": []}"]
["8039ad0cb583c24d8c620a2793c51821","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [3000, 3001], \"expectation_value\": -2.3656082759331865, \"params\": [0.4884, 0.48410000000000003, 0.0244, 0.0195, 0.4419, 0.4335, 0.4883, 0.4924, 0.48310000000000003, 0.4887, 0.0395, 0.0439, 0.4022, 0.4041, 0.4671, 0.4697, 0.3029, 0.3028, 0.09570000000000001, 0.09000000000000001, 0.093, 0.09960000000000001, 0.3095, 0.30910000000000004, 0.4862, 0.4852, 0.0213, 0.019200000000000002, 0.437, 0.4424, 0.4922, 0.4867, 0.4862, 0.4879, 0.0482, 0.0489, 0.4071, 0.4111, 0.4904, 0.4928, 0.306, 0.3109, 0.096, 0.0916, 0.094, 0.1014, 0.3055, 0.3055, 0.4898, 0.4912, 0.019100000000000002, 0.0195, 0.4494, 0.4444, 0.49160000000000004, 0.48810000000000003, 0.4869, 0.49150000000000005, 0.0442, 0.0437, 0.4161, 0.4043, 0.4888, 0.49260000000000004, 0.316, 0.3229, 0.0881, 0.0917, 0.09580000000000001, 0.10160000000000001, 0.3109, 0.30720000000000003, 0.3578, -0.0752, 0.1376, 0.2462, 0.24380000000000002, 0.2121, 0.1154, 0.2565, 0.24450000000000002, 0.16090000000000002, -0.2255, 0.37870000000000004, 0.1395, -0.1474, 0.0872, 0.0545, 0.0125, 0.1087, -0.1149, 0.153, 0.1564, -0.058100000000000006, -0.10840000000000001, 0.046200000000000005, 0.434, 0.010400000000000001, -0.0095, 0.2298, 0.1988, 0.0207, 0.008700000000000001, 0.1355, 0.3826, 0.0512, -0.1107, 0.28600000000000003, 0.031, 0.0177, -0.0162, 0.0189, 0.2228, 0.0274, -0.0018000000000000002, 0.26330000000000003, 0.049, 0.0211, 0.0032, 0.058600000000000006, 0.42300000000000004, 0.0551, -0.058300000000000005, 0.223, 0.0422, -0.0529, 0.2576, 0.0392, 0.19840000000000002, 0.386, 0.015600000000000001, 0.15380000000000002, 0.0117, -0.0015, 0.099, 0.0346, 0.2717, 0.24780000000000002, 0.038, 0.22970000000000002, 0.061500000000000006, 0.0456, 0.0328, 0.0717], \"bitstrings\": [\"010001000111\", \"010001000110\"], \"total_optimization_steps\": 50, \"probabilities\": [0.14059772210677884, 0.3089566057733501], \"optimization_time\": 30.464596271514893}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(7) @ Z(4) @ Z(5)) + -0.125 * (Z(7) @ Z(4) @ Z(6)) + -0.125 * (Z(7) @ Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(0) @ Z(9)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(4) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(0) @ Z(4) @ Z(8)) + -0.125 * (Z(0) @ Z(4) @ Z(9)) + -0.125 * (Z(0) @ Z(9) @ Z(8)) + -0.125 * (Z(8) @ Z(4) @ Z(9)) + 0.125 * (Z(0) @ Z(4) @ Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(8) @ Z(6)) + 0.25 * (Z(10) @ Z(6)) + 0.25 * (Z(8) @ Z(10)) + -0.25 * (Z(8) @ Z(10) @ Z(6)) + 0.25 * (Z(9) @ Z(2)) + 0.25 * (Z(11) @ Z(2)) + 0.25 * (Z(9) @ Z(11)) + -0.25 * (Z(9) @ Z(11) @ Z(2)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(10) @ Z(3)) + 0.125 * (Z(11) @ Z(3)) + 0.125 * (Z(7) @ Z(10)) + 0.125 * (Z(7) @ Z(11)) + 0.125 * (Z(10) @ Z(11)) + -0.125 * (Z(7) @ Z(10) @ Z(3)) + -0.125 * (Z(7) @ Z(11) @ Z(3)) + -0.125 * (Z(10) @ Z(11) @ Z(3)) + -0.125 * (Z(7) @ Z(10) @ Z(11)) + 0.125 * (Z(7) @ Z(10) @ Z(11) @ Z(3)) + 0.25 * Z(0) + -0.125 * Z(1) + 0.125 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) + -0.125 * Z(5) + 0.125 * Z(6) + 0.25 * Z(7) + 0.125 * Z(8) + 0.125 * Z(9) + 0.125 * Z(10) + 0.125 * Z(11)",14,12,3,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 32, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"110000100001\", \"000101001100\", \"000101001001\", \"000101000110\", \"000101100100\", \"101001000010\", \"100001001001\", \"100001000110\", \"100001000011\", \"100001100001\", \"011010000010\", \"011000011000\", \"010100100100\", \"010010100001\", \"010010001001\", \"010010000110\", \"010010000011\", \"010000101001\", \"010000100110\", \"010000100101\", \"010001001001\", \"010001000110\", \"010000011100\", \"010000011001\", \"010000010110\", \"010000110100\", \"001101001000\", \"001011000010\", \"001001000110\", \"001001011000\", \"001001001010\", \"001001001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.4884) q[0];\nry(0.0244) q[1];\nry(0.4419) q[2];\nry(0.4883) q[3];\nry(0.4831) q[4];\nry(0.0395) q[5];\nry(0.4022) q[6];\nry(0.4671) q[7];\nry(0.3029) q[8];\nry(0.0957) q[9];\nry(0.093) q[10];\nry(0.3095) q[11];\ncrx(0.3578) q[11], q[0];\ncrx(-0.1084) q[10], q[11];\ncrx(0.1564) q[9], q[10];\ncrx(-0.1149) q[8], q[9];\ncrx(0.0125) q[7], q[8];\ncrx(0.0872) q[6], q[7];\ncrx(0.1395) q[5], q[6];\ncrx(-0.2255) q[4], q[5];\ncrx(0.2445) q[3], q[4];\ncrx(0.1154) q[2], q[3];\ncrx(0.2438) q[1], q[2];\ncrx(0.1376) q[0], q[1];\nry(0.4841) q[0];\nry(0.0195) q[1];\nry(0.4335) q[2];\nry(0.4924) q[3];\nry(0.4887) q[4];\nry(0.0439) q[5];\nry(0.4041) q[6];\nry(0.4697) q[7];\nry(0.3028) q[8];\nry(0.09) q[9];\nry(0.0996) q[10];\nry(0.3091) q[11];\ncrx(-0.0752) q[11], q[10];\ncrx(0.2462) q[0], q[11];\ncrx(0.2121) q[0], q[1];\ncrx(0.2565) q[1], q[2];\ncrx(0.1609) q[2], q[3];\ncrx(0.3787) q[3], q[4];\ncrx(-0.1474) q[4], q[5];\ncrx(0.0545) q[5], q[6];\ncrx(0.1087) q[6], q[7];\ncrx(0.153) q[7], q[8];\ncrx(-0.0581) q[8], q[9];\ncrx(0.0462) q[9], q[10];\nry(0.4862) q[0];\nry(0.0213) q[1];\nry(0.437) q[2];\nry(0.4922) q[3];\nry(0.4862) q[4];\nry(0.0482) q[5];\nry(0.4071) q[6];\nry(0.4904) q[7];\nry(0.306) q[8];\nry(0.096) q[9];\nry(0.094) q[10];\nry(0.3055) q[11];\ncrx(0.434) q[11], q[0];\ncrx(0.0032) q[10], q[11];\ncrx(0.049) q[9], q[10];\ncrx(-0.0018) q[8], q[9];\ncrx(0.2228) q[7], q[8];\ncrx(-0.0162) q[6], q[7];\ncrx(0.031) q[5], q[6];\ncrx(-0.1107) q[4], q[5];\ncrx(0.3826) q[3], q[4];\ncrx(0.0087) q[2], q[3];\ncrx(0.1988) q[1], q[2];\ncrx(-0.0095) q[0], q[1];\nry(0.4852) q[0];\nry(0.0192) q[1];\nry(0.4424) q[2];\nry(0.4867) q[3];\nry(0.4879) q[4];\nry(0.0489) q[5];\nry(0.4111) q[6];\nry(0.4928) q[7];\nry(0.3109) q[8];\nry(0.0916) q[9];\nry(0.1014) q[10];\nry(0.3055) q[11];\ncrx(0.0104) q[11], q[10];\ncrx(0.2298) q[0], q[11];\ncrx(0.0207) q[0], q[1];\ncrx(0.1355) q[1], q[2];\ncrx(0.0512) q[2], q[3];\ncrx(0.286) q[3], q[4];\ncrx(0.0177) q[4], q[5];\ncrx(0.0189) q[5], q[6];\ncrx(0.0274) q[6], q[7];\ncrx(0.2633) q[7], q[8];\ncrx(0.0211) q[8], q[9];\ncrx(0.0586) q[9], q[10];\nry(0.4898) q[0];\nry(0.0191) q[1];\nry(0.4494) q[2];\nry(0.4916) q[3];\nry(0.4869) q[4];\nry(0.0442) q[5];\nry(0.4161) q[6];\nry(0.4888) q[7];\nry(0.316) q[8];\nry(0.0881) q[9];\nry(0.0958) q[10];\nry(0.3109) q[11];\ncrx(0.423) q[11], q[0];\ncrx(0.0328) q[10], q[11];\ncrx(0.0615) q[9], q[10];\ncrx(0.038) q[8], q[9];\ncrx(0.2717) q[7], q[8];\ncrx(0.099) q[6], q[7];\ncrx(0.0117) q[5], q[6];\ncrx(0.0156) q[4], q[5];\ncrx(0.1984) q[3], q[4];\ncrx(0.2576) q[2], q[3];\ncrx(0.0422) q[1], q[2];\ncrx(-0.0583) q[0], q[1];\nry(0.4912) q[0];\nry(0.0195) q[1];\nry(0.4444) q[2];\nry(0.4881) q[3];\nry(0.4915) q[4];\nry(0.0437) q[5];\nry(0.4043) q[6];\nry(0.4926) q[7];\nry(0.3229) q[8];\nry(0.0917) q[9];\nry(0.1016) q[10];\nry(0.3072) q[11];\ncrx(0.0551) q[11], q[10];\ncrx(0.223) q[0], q[11];\ncrx(-0.0529) q[0], q[1];\ncrx(0.0392) q[1], q[2];\ncrx(0.386) q[2], q[3];\ncrx(0.1538) q[3], q[4];\ncrx(-0.0015) q[4], q[5];\ncrx(0.0346) q[5], q[6];\ncrx(0.2478) q[6], q[7];\ncrx(0.2297) q[7], q[8];\ncrx(0.0456) q[8], q[9];\ncrx(0.0717) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncrx(x12) q[11], q[0];\ncrx(x13) q[10], q[11];\ncrx(x14) q[9], q[10];\ncrx(x15) q[8], q[9];\ncrx(x16) q[7], q[8];\ncrx(x17) q[6], q[7];\ncrx(x18) q[5], q[6];\ncrx(x19) q[4], q[5];\ncrx(x20) q[3], q[4];\ncrx(x21) q[2], q[3];\ncrx(x22) q[1], q[2];\ncrx(x23) q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x32) q[8];\nry(x33) q[9];\nry(x34) q[10];\nry(x35) q[11];\ncrx(x36) q[11], q[10];\ncrx(x37) q[0], q[11];\ncrx(x38) q[0], q[1];\ncrx(x39) q[1], q[2];\ncrx(x40) q[2], q[3];\ncrx(x41) q[3], q[4];\ncrx(x42) q[4], q[5];\ncrx(x43) q[5], q[6];\ncrx(x44) q[6], q[7];\ncrx(x45) q[7], q[8];\ncrx(x46) q[8], q[9];\ncrx(x47) q[9], q[10];\nry(x48) q[0];\nry(x49) q[1];\nry(x50) q[2];\nry(x51) q[3];\nry(x48) q[4];\nry(x52) q[5];\nry(x53) q[6];\nry(x54) q[7];\nry(x55) q[8];\nry(x56) q[9];\nry(x57) q[10];\nry(x58) q[11];\ncrx(x59) q[11], q[0];\ncrx(x60) q[10], q[11];\ncrx(x61) q[9], q[10];\ncrx(x62) q[8], q[9];\ncrx(x63) q[7], q[8];\ncrx(x64) q[6], q[7];\ncrx(x65) q[5], q[6];\ncrx(x66) q[4], q[5];\ncrx(x67) q[3], q[4];\ncrx(x68) q[2], q[3];\ncrx(x69) q[1], q[2];\ncrx(x70) q[0], q[1];\nry(x71) q[0];\nry(x72) q[1];\nry(x73) q[2];\nry(x74) q[3];\nry(x75) q[4];\nry(x76) q[5];\nry(x77) q[6];\nry(x78) q[7];\nry(x79) q[8];\nry(x80) q[9];\nry(x81) q[10];\nry(x58) q[11];\ncrx(x82) q[11], q[10];\ncrx(x83) q[0], q[11];\ncrx(x84) q[0], q[1];\ncrx(x85) q[1], q[2];\ncrx(x86) q[2], q[3];\ncrx(x87) q[3], q[4];\ncrx(x88) q[4], q[5];\ncrx(x89) q[5], q[6];\ncrx(x90) q[6], q[7];\ncrx(x91) q[7], q[8];\ncrx(x92) q[8], q[9];\ncrx(x93) q[9], q[10];\nry(x94) q[0];\nry(x95) q[1];\nry(x96) q[2];\nry(x97) q[3];\nry(x98) q[4];\nry(x99) q[5];\nry(x100) q[6];\nry(x101) q[7];\nry(x102) q[8];\nry(x103) q[9];\nry(x104) q[10];\nry(x79) q[11];\ncrx(x105) q[11], q[0];\ncrx(x106) q[10], q[11];\ncrx(x107) q[9], q[10];\ncrx(x108) q[8], q[9];\ncrx(x109) q[7], q[8];\ncrx(x110) q[6], q[7];\ncrx(x111) q[5], q[6];\ncrx(x112) q[4], q[5];\ncrx(x113) q[3], q[4];\ncrx(x114) q[2], q[3];\ncrx(x115) q[1], q[2];\ncrx(x116) q[0], q[1];\nry(x117) q[0];\nry(x25) q[1];\nry(x118) q[2];\nry(x119) q[3];\nry(x120) q[4];\nry(x121) q[5];\nry(x122) q[6];\nry(x123) q[7];\nry(x124) q[8];\nry(x125) q[9];\nry(x126) q[10];\nry(x127) q[11];\ncrx(x128) q[11], q[10];\ncrx(x129) q[0], q[11];\ncrx(x130) q[0], q[1];\ncrx(x131) q[1], q[2];\ncrx(x132) q[2], q[3];\ncrx(x133) q[3], q[4];\ncrx(x134) q[4], q[5];\ncrx(x135) q[5], q[6];\ncrx(x136) q[6], q[7];\ncrx(x137) q[7], q[8];\ncrx(x138) q[8], q[9];\ncrx(x139) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["d081b5ece414d97b04408b0b42241cfc","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}]}","{\"states\": [1615, 1551], \"expectation_value\": -14.890844280521527, \"params\": [0.4953, -0.0061, 0.4994, -0.013600000000000001, 0.49200000000000005, -0.0078000000000000005, 0.4907, -0.0131, 0.14300000000000002, -0.0718, 0.1449, -0.10360000000000001, 0.1383, -0.0868, 0.1432, -0.11560000000000001, 0.31070000000000003, 0.0799, 0.31220000000000003, 0.0915, -0.0007, -0.3209, -0.0059, -0.3723, -0.083, -0.1893, -0.08610000000000001, -0.2566, 0.49050000000000005, -0.0006000000000000001, 0.4892, -0.0035, 0.4968, 0.0019, 0.4907, -0.004200000000000001, 0.48400000000000004, -0.0088, 0.4822, -0.0148, 0.4963, -0.0055000000000000005, 0.49360000000000004, -0.0148, 0.49760000000000004, -0.008, 0.4897, -0.013000000000000001, 0.49960000000000004, -0.0068000000000000005, 0.496, -0.0126, 0.14800000000000002, -0.1066, 0.1462, -0.138, 0.137, -0.1199, 0.1405, -0.1429, 0.32030000000000003, 0.0946, 0.31170000000000003, 0.0965, -0.0019, -0.3578, 0.0033, -0.3436, -0.0818, -0.2733, -0.0796, -0.22840000000000002, 0.49360000000000004, 0.0058000000000000005, 0.4939, -0.0011, 0.4918, 0.005, 0.48850000000000005, -0.002, 0.4893, -0.0041, 0.48660000000000003, -0.0128, 0.4927, -0.0073, 0.49060000000000004, -0.0167, 0.49810000000000004, 0.0015, 0.4934, 0.0048000000000000004, 0.49710000000000004, -0.00030000000000000003, 0.49760000000000004, 0.0031000000000000003, 0.1502, -0.14730000000000001, 0.1481, 0.0015, 0.1421, -0.1497, 0.13820000000000002, 0.0019, 0.31880000000000003, 0.1102, 0.317, 0.0028, -0.0047, -0.3451, -0.0022, 0.008400000000000001, -0.0848, -0.2679, -0.0877, 0.007200000000000001, 0.48700000000000004, 0.0114, 0.48750000000000004, 0.0022, 0.49460000000000004, 0.010400000000000001, 0.48750000000000004, 0.0021000000000000003, 0.48300000000000004, -0.015000000000000001, 0.48050000000000004, 0.0056, 0.48750000000000004, -0.014, 0.49720000000000003, 0.007, 0.0073, 0.0083, -0.0911, -0.0912, 0.0844, 0.0244, 0.026600000000000002, -0.0118, -0.0145, 0.0391, 0.0056, -0.0004, -0.001, -0.096, -0.1, 0.08800000000000001, 0.0176, 0.0082, -0.0179, -0.017, 0.0187, -0.0007, -0.0057, -0.0051, -0.14780000000000001, -0.1463, 0.09530000000000001, 0.0483, 0.0408, -0.016300000000000002, -0.016300000000000002, 0.0061, -0.008], \"bitstrings\": [\"00110110000\", \"00111110000\"], \"total_optimization_steps\": 50, \"probabilities\": [0.33814093998106287, 0.34387305460827866], \"optimization_time\": 157.02344822883606}","0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 1.0 * (Z(10) @ Z(4)) + 2.0 * (Z(10) @ Z(9)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(10)) + 0.75 * Z(1) + 0.75 * Z(0) + 3.5 * Z(7) + 0.75 * Z(2) + 3.5 * Z(8) + 0.75 * Z(3) + 0.5 * Z(4) + -1.0 * Z(5) + 4.0 * Z(9) + 8.0 * Z(10) + -1.5 * Z(6)",5,11,3,"{\"smallest_eigenvalues\": [-16.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.5, \"smallest_bitstrings\": [\"00111110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.4953) q[0];\nrz(-0.0061) q[0];\nrx(0.492) q[1];\nrz(-0.0078) q[1];\nrx(0.143) q[2];\nrz(-0.0718) q[2];\nrx(0.1383) q[3];\nrz(-0.0868) q[3];\nrx(0.3107) q[4];\nrz(0.0799) q[4];\nrx(-0.0007) q[5];\nrz(-0.3209) q[5];\nrx(-0.083) q[6];\nrz(-0.1893) q[6];\nrx(0.4905) q[7];\nrz(-0.0006) q[7];\nrx(0.4968) q[8];\nrz(0.0019) q[8];\nrx(0.484) q[9];\nrz(-0.0088) q[9];\nrx(0.4963) q[10];\nrz(-0.0055) q[10];\ncrz(0.0391) q[10], q[9];\ncrz(-0.0145) q[10], q[8];\ncrz(-0.0118) q[10], q[7];\ncrz(0.0266) q[10], q[6];\ncrz(0.0244) q[10], q[5];\ncrz(0.0844) q[10], q[4];\ncrz(-0.0912) q[10], q[3];\ncrz(-0.0911) q[10], q[2];\ncrz(0.0083) q[10], q[1];\ncrz(0.0073) q[10], q[0];\ncrz(0.0056) q[9], q[10];\ncrz(-0.0145) q[9], q[8];\ncrz(-0.0118) q[9], q[7];\ncrz(0.0266) q[9], q[6];\ncrz(0.0244) q[9], q[5];\ncrz(0.0844) q[9], q[4];\ncrz(-0.0912) q[9], q[3];\ncrz(-0.0911) q[9], q[2];\ncrz(0.0083) q[9], q[1];\ncrz(0.0073) q[9], q[0];\ncrz(0.0056) q[8], q[10];\ncrz(0.0391) q[8], q[9];\ncrz(-0.0118) q[8], q[7];\ncrz(0.0266) q[8], q[6];\ncrz(0.0244) q[8], q[5];\ncrz(0.0844) q[8], q[4];\ncrz(-0.0912) q[8], q[3];\ncrz(-0.0911) q[8], q[2];\ncrz(0.0083) q[8], q[1];\ncrz(0.0073) q[8], q[0];\ncrz(0.0056) q[7], q[10];\ncrz(0.0391) q[7], q[9];\ncrz(-0.0145) q[7], q[8];\ncrz(0.0266) q[7], q[6];\ncrz(0.0244) q[7], q[5];\ncrz(0.0844) q[7], q[4];\ncrz(-0.0912) q[7], q[3];\ncrz(-0.0911) q[7], q[2];\ncrz(0.0083) q[7], q[1];\ncrz(0.0073) q[7], q[0];\ncrz(0.0056) q[6], q[10];\ncrz(0.0391) q[6], q[9];\ncrz(-0.0145) q[6], q[8];\ncrz(-0.0118) q[6], q[7];\ncrz(0.0244) q[6], q[5];\ncrz(0.0844) q[6], q[4];\ncrz(-0.0912) q[6], q[3];\ncrz(-0.0911) q[6], q[2];\ncrz(0.0083) q[6], q[1];\ncrz(0.0073) q[6], q[0];\ncrz(0.0056) q[5], q[10];\ncrz(0.0391) q[5], q[9];\ncrz(-0.0145) q[5], q[8];\ncrz(-0.0118) q[5], q[7];\ncrz(0.0266) q[5], q[6];\ncrz(0.0844) q[5], q[4];\ncrz(-0.0912) q[5], q[3];\ncrz(-0.0911) q[5], q[2];\ncrz(0.0083) q[5], q[1];\ncrz(0.0073) q[5], q[0];\ncrz(0.0056) q[4], q[10];\ncrz(0.0391) q[4], q[9];\ncrz(-0.0145) q[4], q[8];\ncrz(-0.0118) q[4], q[7];\ncrz(0.0266) q[4], q[6];\ncrz(0.0244) q[4], q[5];\ncrz(-0.0912) q[4], q[3];\ncrz(-0.0911) q[4], q[2];\ncrz(0.0083) q[4], q[1];\ncrz(0.0073) q[4], q[0];\ncrz(0.0056) q[3], q[10];\ncrz(0.0391) q[3], q[9];\ncrz(-0.0145) q[3], q[8];\ncrz(-0.0118) q[3], q[7];\ncrz(0.0266) q[3], q[6];\ncrz(0.0244) q[3], q[5];\ncrz(0.0844) q[3], q[4];\ncrz(-0.0911) q[3], q[2];\ncrz(0.0083) q[3], q[1];\ncrz(0.0073) q[3], q[0];\ncrz(0.0056) q[2], q[10];\ncrz(0.0391) q[2], q[9];\ncrz(-0.0145) q[2], q[8];\ncrz(-0.0118) q[2], q[7];\ncrz(0.0266) q[2], q[6];\ncrz(0.0244) q[2], q[5];\ncrz(0.0844) q[2], q[4];\ncrz(-0.0912) q[2], q[3];\ncrz(0.0083) q[2], q[1];\ncrz(0.0073) q[2], q[0];\ncrz(0.0056) q[1], q[10];\ncrz(0.0391) q[1], q[9];\ncrz(-0.0145) q[1], q[8];\ncrz(-0.0118) q[1], q[7];\ncrz(0.0266) q[1], q[6];\ncrz(0.0244) q[1], q[5];\ncrz(0.0844) q[1], q[4];\ncrz(-0.0912) q[1], q[3];\ncrz(-0.0911) q[1], q[2];\ncrz(0.0073) q[1], q[0];\ncrz(0.0056) q[0], q[10];\ncrz(0.0391) q[0], q[9];\ncrz(-0.0145) q[0], q[8];\ncrz(-0.0118) q[0], q[7];\ncrz(0.0266) q[0], q[6];\ncrz(0.0244) q[0], q[5];\ncrz(0.0844) q[0], q[4];\ncrz(-0.0912) q[0], q[3];\ncrz(-0.0911) q[0], q[2];\ncrz(0.0083) q[0], q[1];\nrx(0.4994) q[0];\nrz(-0.0136) q[0];\nrx(0.4907) q[1];\nrz(-0.0131) q[1];\nrx(0.1449) q[2];\nrz(-0.1036) q[2];\nrx(0.1432) q[3];\nrz(-0.1156) q[3];\nrx(0.3122) q[4];\nrz(0.0915) q[4];\nrx(-0.0059) q[5];\nrz(-0.3723) q[5];\nrx(-0.0861) q[6];\nrz(-0.2566) q[6];\nrx(0.4892) q[7];\nrz(-0.0035) q[7];\nrx(0.4907) q[8];\nrz(-0.0042) q[8];\nrx(0.4822) q[9];\nrz(-0.0148) q[9];\nrx(0.4936) q[10];\nrz(-0.0148) q[10];\nrx(0.4976) q[0];\nrz(-0.008) q[0];\nrx(0.4996) q[1];\nrz(-0.0068) q[1];\nrx(0.148) q[2];\nrz(-0.1066) q[2];\nrx(0.137) q[3];\nrz(-0.1199) q[3];\nrx(0.3203) q[4];\nrz(0.0946) q[4];\nrx(-0.0019) q[5];\nrz(-0.3578) q[5];\nrx(-0.0818) q[6];\nrz(-0.2733) q[6];\nrx(0.4936) q[7];\nrz(0.0058) q[7];\nrx(0.4918) q[8];\nrz(0.005) q[8];\nrx(0.4893) q[9];\nrz(-0.0041) q[9];\nrx(0.4927) q[10];\nrz(-0.0073) q[10];\ncrz(0.0187) q[10], q[9];\ncrz(-0.017) q[10], q[8];\ncrz(-0.0179) q[10], q[7];\ncrz(0.0082) q[10], q[6];\ncrz(0.0176) q[10], q[5];\ncrz(0.088) q[10], q[4];\ncrz(-0.1) q[10], q[3];\ncrz(-0.096) q[10], q[2];\ncrz(-0.001) q[10], q[1];\ncrz(-0.0004) q[10], q[0];\ncrz(-0.0007) q[9], q[10];\ncrz(-0.017) q[9], q[8];\ncrz(-0.0179) q[9], q[7];\ncrz(0.0082) q[9], q[6];\ncrz(0.0176) q[9], q[5];\ncrz(0.088) q[9], q[4];\ncrz(-0.1) q[9], q[3];\ncrz(-0.096) q[9], q[2];\ncrz(-0.001) q[9], q[1];\ncrz(-0.0004) q[9], q[0];\ncrz(-0.0007) q[8], q[10];\ncrz(0.0187) q[8], q[9];\ncrz(-0.0179) q[8], q[7];\ncrz(0.0082) q[8], q[6];\ncrz(0.0176) q[8], q[5];\ncrz(0.088) q[8], q[4];\ncrz(-0.1) q[8], q[3];\ncrz(-0.096) q[8], q[2];\ncrz(-0.001) q[8], q[1];\ncrz(-0.0004) q[8], q[0];\ncrz(-0.0007) q[7], q[10];\ncrz(0.0187) q[7], q[9];\ncrz(-0.017) q[7], q[8];\ncrz(0.0082) q[7], q[6];\ncrz(0.0176) q[7], q[5];\ncrz(0.088) q[7], q[4];\ncrz(-0.1) q[7], q[3];\ncrz(-0.096) q[7], q[2];\ncrz(-0.001) q[7], q[1];\ncrz(-0.0004) q[7], q[0];\ncrz(-0.0007) q[6], q[10];\ncrz(0.0187) q[6], q[9];\ncrz(-0.017) q[6], q[8];\ncrz(-0.0179) q[6], q[7];\ncrz(0.0176) q[6], q[5];\ncrz(0.088) q[6], q[4];\ncrz(-0.1) q[6], q[3];\ncrz(-0.096) q[6], q[2];\ncrz(-0.001) q[6], q[1];\ncrz(-0.0004) q[6], q[0];\ncrz(-0.0007) q[5], q[10];\ncrz(0.0187) q[5], q[9];\ncrz(-0.017) q[5], q[8];\ncrz(-0.0179) q[5], q[7];\ncrz(0.0082) q[5], q[6];\ncrz(0.088) q[5], q[4];\ncrz(-0.1) q[5], q[3];\ncrz(-0.096) q[5], q[2];\ncrz(-0.001) q[5], q[1];\ncrz(-0.0004) q[5], q[0];\ncrz(-0.0007) q[4], q[10];\ncrz(0.0187) q[4], q[9];\ncrz(-0.017) q[4], q[8];\ncrz(-0.0179) q[4], q[7];\ncrz(0.0082) q[4], q[6];\ncrz(0.0176) q[4], q[5];\ncrz(-0.1) q[4], q[3];\ncrz(-0.096) q[4], q[2];\ncrz(-0.001) q[4], q[1];\ncrz(-0.0004) q[4], q[0];\ncrz(-0.0007) q[3], q[10];\ncrz(0.0187) q[3], q[9];\ncrz(-0.017) q[3], q[8];\ncrz(-0.0179) q[3], q[7];\ncrz(0.0082) q[3], q[6];\ncrz(0.0176) q[3], q[5];\ncrz(0.088) q[3], q[4];\ncrz(-0.096) q[3], q[2];\ncrz(-0.001) q[3], q[1];\ncrz(-0.0004) q[3], q[0];\ncrz(-0.0007) q[2], q[10];\ncrz(0.0187) q[2], q[9];\ncrz(-0.017) q[2], q[8];\ncrz(-0.0179) q[2], q[7];\ncrz(0.0082) q[2], q[6];\ncrz(0.0176) q[2], q[5];\ncrz(0.088) q[2], q[4];\ncrz(-0.1) q[2], q[3];\ncrz(-0.001) q[2], q[1];\ncrz(-0.0004) q[2], q[0];\ncrz(-0.0007) q[1], q[10];\ncrz(0.0187) q[1], q[9];\ncrz(-0.017) q[1], q[8];\ncrz(-0.0179) q[1], q[7];\ncrz(0.0082) q[1], q[6];\ncrz(0.0176) q[1], q[5];\ncrz(0.088) q[1], q[4];\ncrz(-0.1) q[1], q[3];\ncrz(-0.096) q[1], q[2];\ncrz(-0.0004) q[1], q[0];\ncrz(-0.0007) q[0], q[10];\ncrz(0.0187) q[0], q[9];\ncrz(-0.017) q[0], q[8];\ncrz(-0.0179) q[0], q[7];\ncrz(0.0082) q[0], q[6];\ncrz(0.0176) q[0], q[5];\ncrz(0.088) q[0], q[4];\ncrz(-0.1) q[0], q[3];\ncrz(-0.096) q[0], q[2];\ncrz(-0.001) q[0], q[1];\nrx(0.4897) q[0];\nrz(-0.013) q[0];\nrx(0.496) q[1];\nrz(-0.0126) q[1];\nrx(0.1462) q[2];\nrz(-0.138) q[2];\nrx(0.1405) q[3];\nrz(-0.1429) q[3];\nrx(0.3117) q[4];\nrz(0.0965) q[4];\nrx(0.0033) q[5];\nrz(-0.3436) q[5];\nrx(-0.0796) q[6];\nrz(-0.2284) q[6];\nrx(0.4939) q[7];\nrz(-0.0011) q[7];\nrx(0.4885) q[8];\nrz(-0.002) q[8];\nrx(0.4866) q[9];\nrz(-0.0128) q[9];\nrx(0.4906) q[10];\nrz(-0.0167) q[10];\nrx(0.4981) q[0];\nrz(0.0015) q[0];\nrx(0.4971) q[1];\nrz(-0.0003) q[1];\nrx(0.1502) q[2];\nrz(-0.1473) q[2];\nrx(0.1421) q[3];\nrz(-0.1497) q[3];\nrx(0.3188) q[4];\nrz(0.1102) q[4];\nrx(-0.0047) q[5];\nrz(-0.3451) q[5];\nrx(-0.0848) q[6];\nrz(-0.2679) q[6];\nrx(0.487) q[7];\nrz(0.0114) q[7];\nrx(0.4946) q[8];\nrz(0.0104) q[8];\nrx(0.483) q[9];\nrz(-0.015) q[9];\nrx(0.4875) q[10];\nrz(-0.014) q[10];\ncrz(0.0061) q[10], q[9];\ncrz(-0.0163) q[10], q[8];\ncrz(-0.0163) q[10], q[7];\ncrz(0.0408) q[10], q[6];\ncrz(0.0483) q[10], q[5];\ncrz(0.0953) q[10], q[4];\ncrz(-0.1463) q[10], q[3];\ncrz(-0.1478) q[10], q[2];\ncrz(-0.0051) q[10], q[1];\ncrz(-0.0057) q[10], q[0];\ncrz(-0.008) q[9], q[10];\ncrz(-0.0163) q[9], q[8];\ncrz(-0.0163) q[9], q[7];\ncrz(0.0408) q[9], q[6];\ncrz(0.0483) q[9], q[5];\ncrz(0.0953) q[9], q[4];\ncrz(-0.1463) q[9], q[3];\ncrz(-0.1478) q[9], q[2];\ncrz(-0.0051) q[9], q[1];\ncrz(-0.0057) q[9], q[0];\ncrz(-0.008) q[8], q[10];\ncrz(0.0061) q[8], q[9];\ncrz(-0.0163) q[8], q[7];\ncrz(0.0408) q[8], q[6];\ncrz(0.0483) q[8], q[5];\ncrz(0.0953) q[8], q[4];\ncrz(-0.1463) q[8], q[3];\ncrz(-0.1478) q[8], q[2];\ncrz(-0.0051) q[8], q[1];\ncrz(-0.0057) q[8], q[0];\ncrz(-0.008) q[7], q[10];\ncrz(0.0061) q[7], q[9];\ncrz(-0.0163) q[7], q[8];\ncrz(0.0408) q[7], q[6];\ncrz(0.0483) q[7], q[5];\ncrz(0.0953) q[7], q[4];\ncrz(-0.1463) q[7], q[3];\ncrz(-0.1478) q[7], q[2];\ncrz(-0.0051) q[7], q[1];\ncrz(-0.0057) q[7], q[0];\ncrz(-0.008) q[6], q[10];\ncrz(0.0061) q[6], q[9];\ncrz(-0.0163) q[6], q[8];\ncrz(-0.0163) q[6], q[7];\ncrz(0.0483) q[6], q[5];\ncrz(0.0953) q[6], q[4];\ncrz(-0.1463) q[6], q[3];\ncrz(-0.1478) q[6], q[2];\ncrz(-0.0051) q[6], q[1];\ncrz(-0.0057) q[6], q[0];\ncrz(-0.008) q[5], q[10];\ncrz(0.0061) q[5], q[9];\ncrz(-0.0163) q[5], q[8];\ncrz(-0.0163) q[5], q[7];\ncrz(0.0408) q[5], q[6];\ncrz(0.0953) q[5], q[4];\ncrz(-0.1463) q[5], q[3];\ncrz(-0.1478) q[5], q[2];\ncrz(-0.0051) q[5], q[1];\ncrz(-0.0057) q[5], q[0];\ncrz(-0.008) q[4], q[10];\ncrz(0.0061) q[4], q[9];\ncrz(-0.0163) q[4], q[8];\ncrz(-0.0163) q[4], q[7];\ncrz(0.0408) q[4], q[6];\ncrz(0.0483) q[4], q[5];\ncrz(-0.1463) q[4], q[3];\ncrz(-0.1478) q[4], q[2];\ncrz(-0.0051) q[4], q[1];\ncrz(-0.0057) q[4], q[0];\ncrz(-0.008) q[3], q[10];\ncrz(0.0061) q[3], q[9];\ncrz(-0.0163) q[3], q[8];\ncrz(-0.0163) q[3], q[7];\ncrz(0.0408) q[3], q[6];\ncrz(0.0483) q[3], q[5];\ncrz(0.0953) q[3], q[4];\ncrz(-0.1478) q[3], q[2];\ncrz(-0.0051) q[3], q[1];\ncrz(-0.0057) q[3], q[0];\ncrz(-0.008) q[2], q[10];\ncrz(0.0061) q[2], q[9];\ncrz(-0.0163) q[2], q[8];\ncrz(-0.0163) q[2], q[7];\ncrz(0.0408) q[2], q[6];\ncrz(0.0483) q[2], q[5];\ncrz(0.0953) q[2], q[4];\ncrz(-0.1463) q[2], q[3];\ncrz(-0.0051) q[2], q[1];\ncrz(-0.0057) q[2], q[0];\ncrz(-0.008) q[1], q[10];\ncrz(0.0061) q[1], q[9];\ncrz(-0.0163) q[1], q[8];\ncrz(-0.0163) q[1], q[7];\ncrz(0.0408) q[1], q[6];\ncrz(0.0483) q[1], q[5];\ncrz(0.0953) q[1], q[4];\ncrz(-0.1463) q[1], q[3];\ncrz(-0.1478) q[1], q[2];\ncrz(-0.0057) q[1], q[0];\ncrz(-0.008) q[0], q[10];\ncrz(0.0061) q[0], q[9];\ncrz(-0.0163) q[0], q[8];\ncrz(-0.0163) q[0], q[7];\ncrz(0.0408) q[0], q[6];\ncrz(0.0483) q[0], q[5];\ncrz(0.0953) q[0], q[4];\ncrz(-0.1463) q[0], q[3];\ncrz(-0.1478) q[0], q[2];\ncrz(-0.0051) q[0], q[1];\nrx(0.4934) q[0];\nrz(0.0048) q[0];\nrx(0.4976) q[1];\nrz(0.0031) q[1];\nrx(0.1481) q[2];\nrz(0.0015) q[2];\nrx(0.1382) q[3];\nrz(0.0019) q[3];\nrx(0.317) q[4];\nrz(0.0028) q[4];\nrx(-0.0022) q[5];\nrz(0.0084) q[5];\nrx(-0.0877) q[6];\nrz(0.0072) q[6];\nrx(0.4875) q[7];\nrz(0.0022) q[7];\nrx(0.4875) q[8];\nrz(0.0021) q[8];\nrx(0.4805) q[9];\nrz(0.0056) q[9];\nrx(0.4972) q[10];\nrz(0.007) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrz(x22) q[10], q[9];\ncrz(x23) q[10], q[8];\ncrz(x24) q[10], q[7];\ncrz(x25) q[10], q[6];\ncrz(x26) q[10], q[5];\ncrz(x27) q[10], q[4];\ncrz(x28) q[10], q[3];\ncrz(x29) q[10], q[2];\ncrz(x30) q[10], q[1];\ncrz(x31) q[10], q[0];\ncrz(x32) q[9], q[10];\ncrz(x23) q[9], q[8];\ncrz(x24) q[9], q[7];\ncrz(x25) q[9], q[6];\ncrz(x26) q[9], q[5];\ncrz(x27) q[9], q[4];\ncrz(x28) q[9], q[3];\ncrz(x29) q[9], q[2];\ncrz(x30) q[9], q[1];\ncrz(x31) q[9], q[0];\ncrz(x32) q[8], q[10];\ncrz(x22) q[8], q[9];\ncrz(x24) q[8], q[7];\ncrz(x25) q[8], q[6];\ncrz(x26) q[8], q[5];\ncrz(x27) q[8], q[4];\ncrz(x28) q[8], q[3];\ncrz(x29) q[8], q[2];\ncrz(x30) q[8], q[1];\ncrz(x31) q[8], q[0];\ncrz(x32) q[7], q[10];\ncrz(x22) q[7], q[9];\ncrz(x23) q[7], q[8];\ncrz(x25) q[7], q[6];\ncrz(x26) q[7], q[5];\ncrz(x27) q[7], q[4];\ncrz(x28) q[7], q[3];\ncrz(x29) q[7], q[2];\ncrz(x30) q[7], q[1];\ncrz(x31) q[7], q[0];\ncrz(x32) q[6], q[10];\ncrz(x22) q[6], q[9];\ncrz(x23) q[6], q[8];\ncrz(x24) q[6], q[7];\ncrz(x26) q[6], q[5];\ncrz(x27) q[6], q[4];\ncrz(x28) q[6], q[3];\ncrz(x29) q[6], q[2];\ncrz(x30) q[6], q[1];\ncrz(x31) q[6], q[0];\ncrz(x32) q[5], q[10];\ncrz(x22) q[5], q[9];\ncrz(x23) q[5], q[8];\ncrz(x24) q[5], q[7];\ncrz(x25) q[5], q[6];\ncrz(x27) q[5], q[4];\ncrz(x28) q[5], q[3];\ncrz(x29) q[5], q[2];\ncrz(x30) q[5], q[1];\ncrz(x31) q[5], q[0];\ncrz(x32) q[4], q[10];\ncrz(x22) q[4], q[9];\ncrz(x23) q[4], q[8];\ncrz(x24) q[4], q[7];\ncrz(x25) q[4], q[6];\ncrz(x26) q[4], q[5];\ncrz(x28) q[4], q[3];\ncrz(x29) q[4], q[2];\ncrz(x30) q[4], q[1];\ncrz(x31) q[4], q[0];\ncrz(x32) q[3], q[10];\ncrz(x22) q[3], q[9];\ncrz(x23) q[3], q[8];\ncrz(x24) q[3], q[7];\ncrz(x25) q[3], q[6];\ncrz(x26) q[3], q[5];\ncrz(x27) q[3], q[4];\ncrz(x29) q[3], q[2];\ncrz(x30) q[3], q[1];\ncrz(x31) q[3], q[0];\ncrz(x32) q[2], q[10];\ncrz(x22) q[2], q[9];\ncrz(x23) q[2], q[8];\ncrz(x24) q[2], q[7];\ncrz(x25) q[2], q[6];\ncrz(x26) q[2], q[5];\ncrz(x27) q[2], q[4];\ncrz(x28) q[2], q[3];\ncrz(x30) q[2], q[1];\ncrz(x31) q[2], q[0];\ncrz(x32) q[1], q[10];\ncrz(x22) q[1], q[9];\ncrz(x23) q[1], q[8];\ncrz(x24) q[1], q[7];\ncrz(x25) q[1], q[6];\ncrz(x26) q[1], q[5];\ncrz(x27) q[1], q[4];\ncrz(x28) q[1], q[3];\ncrz(x29) q[1], q[2];\ncrz(x31) q[1], q[0];\ncrz(x32) q[0], q[10];\ncrz(x22) q[0], q[9];\ncrz(x23) q[0], q[8];\ncrz(x24) q[0], q[7];\ncrz(x25) q[0], q[6];\ncrz(x26) q[0], q[5];\ncrz(x27) q[0], q[4];\ncrz(x28) q[0], q[3];\ncrz(x29) q[0], q[2];\ncrz(x30) q[0], q[1];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x39) q[3];\nrz(x40) q[3];\nrx(x41) q[4];\nrz(x42) q[4];\nrx(x43) q[5];\nrz(x44) q[5];\nrx(x45) q[6];\nrz(x46) q[6];\nrx(x47) q[7];\nrz(x48) q[7];\nrx(x35) q[8];\nrz(x49) q[8];\nrx(x50) q[9];\nrz(x51) q[9];\nrx(x52) q[10];\nrz(x51) q[10];\nrx(x53) q[0];\nrz(x54) q[0];\nrx(x55) q[1];\nrz(x56) q[1];\nrx(x57) q[2];\nrz(x58) q[2];\nrx(x59) q[3];\nrz(x60) q[3];\nrx(x61) q[4];\nrz(x62) q[4];\nrx(x63) q[5];\nrz(x64) q[5];\nrx(x65) q[6];\nrz(x66) q[6];\nrx(x52) q[7];\nrz(x67) q[7];\nrx(x68) q[8];\nrz(x69) q[8];\nrx(x70) q[9];\nrz(x71) q[9];\nrx(x72) q[10];\nrz(x73) q[10];\ncrz(x74) q[10], q[9];\ncrz(x75) q[10], q[8];\ncrz(x76) q[10], q[7];\ncrz(x77) q[10], q[6];\ncrz(x78) q[10], q[5];\ncrz(x79) q[10], q[4];\ncrz(x80) q[10], q[3];\ncrz(x81) q[10], q[2];\ncrz(x82) q[10], q[1];\ncrz(x83) q[10], q[0];\ncrz(x10) q[9], q[10];\ncrz(x75) q[9], q[8];\ncrz(x76) q[9], q[7];\ncrz(x77) q[9], q[6];\ncrz(x78) q[9], q[5];\ncrz(x79) q[9], q[4];\ncrz(x80) q[9], q[3];\ncrz(x81) q[9], q[2];\ncrz(x82) q[9], q[1];\ncrz(x83) q[9], q[0];\ncrz(x10) q[8], q[10];\ncrz(x74) q[8], q[9];\ncrz(x76) q[8], q[7];\ncrz(x77) q[8], q[6];\ncrz(x78) q[8], q[5];\ncrz(x79) q[8], q[4];\ncrz(x80) q[8], q[3];\ncrz(x81) q[8], q[2];\ncrz(x82) q[8], q[1];\ncrz(x83) q[8], q[0];\ncrz(x10) q[7], q[10];\ncrz(x74) q[7], q[9];\ncrz(x75) q[7], q[8];\ncrz(x77) q[7], q[6];\ncrz(x78) q[7], q[5];\ncrz(x79) q[7], q[4];\ncrz(x80) q[7], q[3];\ncrz(x81) q[7], q[2];\ncrz(x82) q[7], q[1];\ncrz(x83) q[7], q[0];\ncrz(x10) q[6], q[10];\ncrz(x74) q[6], q[9];\ncrz(x75) q[6], q[8];\ncrz(x76) q[6], q[7];\ncrz(x78) q[6], q[5];\ncrz(x79) q[6], q[4];\ncrz(x80) q[6], q[3];\ncrz(x81) q[6], q[2];\ncrz(x82) q[6], q[1];\ncrz(x83) q[6], q[0];\ncrz(x10) q[5], q[10];\ncrz(x74) q[5], q[9];\ncrz(x75) q[5], q[8];\ncrz(x76) q[5], q[7];\ncrz(x77) q[5], q[6];\ncrz(x79) q[5], q[4];\ncrz(x80) q[5], q[3];\ncrz(x81) q[5], q[2];\ncrz(x82) q[5], q[1];\ncrz(x83) q[5], q[0];\ncrz(x10) q[4], q[10];\ncrz(x74) q[4], q[9];\ncrz(x75) q[4], q[8];\ncrz(x76) q[4], q[7];\ncrz(x77) q[4], q[6];\ncrz(x78) q[4], q[5];\ncrz(x80) q[4], q[3];\ncrz(x81) q[4], q[2];\ncrz(x82) q[4], q[1];\ncrz(x83) q[4], q[0];\ncrz(x10) q[3], q[10];\ncrz(x74) q[3], q[9];\ncrz(x75) q[3], q[8];\ncrz(x76) q[3], q[7];\ncrz(x77) q[3], q[6];\ncrz(x78) q[3], q[5];\ncrz(x79) q[3], q[4];\ncrz(x81) q[3], q[2];\ncrz(x82) q[3], q[1];\ncrz(x83) q[3], q[0];\ncrz(x10) q[2], q[10];\ncrz(x74) q[2], q[9];\ncrz(x75) q[2], q[8];\ncrz(x76) q[2], q[7];\ncrz(x77) q[2], q[6];\ncrz(x78) q[2], q[5];\ncrz(x79) q[2], q[4];\ncrz(x80) q[2], q[3];\ncrz(x82) q[2], q[1];\ncrz(x83) q[2], q[0];\ncrz(x10) q[1], q[10];\ncrz(x74) q[1], q[9];\ncrz(x75) q[1], q[8];\ncrz(x76) q[1], q[7];\ncrz(x77) q[1], q[6];\ncrz(x78) q[1], q[5];\ncrz(x79) q[1], q[4];\ncrz(x80) q[1], q[3];\ncrz(x81) q[1], q[2];\ncrz(x83) q[1], q[0];\ncrz(x10) q[0], q[10];\ncrz(x74) q[0], q[9];\ncrz(x75) q[0], q[8];\ncrz(x76) q[0], q[7];\ncrz(x77) q[0], q[6];\ncrz(x78) q[0], q[5];\ncrz(x79) q[0], q[4];\ncrz(x80) q[0], q[3];\ncrz(x81) q[0], q[2];\ncrz(x82) q[0], q[1];\nrx(x84) q[0];\nrz(x85) q[0];\nrx(x86) q[1];\nrz(x87) q[1];\nrx(x88) q[2];\nrz(x89) q[2];\nrx(x90) q[3];\nrz(x91) q[3];\nrx(x92) q[4];\nrz(x93) q[4];\nrx(x94) q[5];\nrz(x95) q[5];\nrx(x96) q[6];\nrz(x97) q[6];\nrx(x98) q[7];\nrz(x99) q[7];\nrx(x100) q[8];\nrz(x101) q[8];\nrx(x102) q[9];\nrz(x103) q[9];\nrx(x104) q[10];\nrz(x105) q[10];\nrx(x106) q[0];\nrz(x107) q[0];\nrx(x108) q[1];\nrz(x109) q[1];\nrx(x110) q[2];\nrz(x111) q[2];\nrx(x112) q[3];\nrz(x113) q[3];\nrx(x114) q[4];\nrz(x115) q[4];\nrx(x116) q[5];\nrz(x117) q[5];\nrx(x118) q[6];\nrz(x119) q[6];\nrx(x120) q[7];\nrz(x121) q[7];\nrx(x122) q[8];\nrz(x123) q[8];\nrx(x124) q[9];\nrz(x125) q[9];\nrx(x126) q[10];\nrz(x127) q[10];\ncrz(x128) q[10], q[9];\ncrz(x129) q[10], q[8];\ncrz(x129) q[10], q[7];\ncrz(x130) q[10], q[6];\ncrz(x131) q[10], q[5];\ncrz(x132) q[10], q[4];\ncrz(x133) q[10], q[3];\ncrz(x134) q[10], q[2];\ncrz(x135) q[10], q[1];\ncrz(x136) q[10], q[0];\ncrz(x54) q[9], q[10];\ncrz(x129) q[9], q[8];\ncrz(x129) q[9], q[7];\ncrz(x130) q[9], q[6];\ncrz(x131) q[9], q[5];\ncrz(x132) q[9], q[4];\ncrz(x133) q[9], q[3];\ncrz(x134) q[9], q[2];\ncrz(x135) q[9], q[1];\ncrz(x136) q[9], q[0];\ncrz(x54) q[8], q[10];\ncrz(x128) q[8], q[9];\ncrz(x129) q[8], q[7];\ncrz(x130) q[8], q[6];\ncrz(x131) q[8], q[5];\ncrz(x132) q[8], q[4];\ncrz(x133) q[8], q[3];\ncrz(x134) q[8], q[2];\ncrz(x135) q[8], q[1];\ncrz(x136) q[8], q[0];\ncrz(x54) q[7], q[10];\ncrz(x128) q[7], q[9];\ncrz(x129) q[7], q[8];\ncrz(x130) q[7], q[6];\ncrz(x131) q[7], q[5];\ncrz(x132) q[7], q[4];\ncrz(x133) q[7], q[3];\ncrz(x134) q[7], q[2];\ncrz(x135) q[7], q[1];\ncrz(x136) q[7], q[0];\ncrz(x54) q[6], q[10];\ncrz(x128) q[6], q[9];\ncrz(x129) q[6], q[8];\ncrz(x129) q[6], q[7];\ncrz(x131) q[6], q[5];\ncrz(x132) q[6], q[4];\ncrz(x133) q[6], q[3];\ncrz(x134) q[6], q[2];\ncrz(x135) q[6], q[1];\ncrz(x136) q[6], q[0];\ncrz(x54) q[5], q[10];\ncrz(x128) q[5], q[9];\ncrz(x129) q[5], q[8];\ncrz(x129) q[5], q[7];\ncrz(x130) q[5], q[6];\ncrz(x132) q[5], q[4];\ncrz(x133) q[5], q[3];\ncrz(x134) q[5], q[2];\ncrz(x135) q[5], q[1];\ncrz(x136) q[5], q[0];\ncrz(x54) q[4], q[10];\ncrz(x128) q[4], q[9];\ncrz(x129) q[4], q[8];\ncrz(x129) q[4], q[7];\ncrz(x130) q[4], q[6];\ncrz(x131) q[4], q[5];\ncrz(x133) q[4], q[3];\ncrz(x134) q[4], q[2];\ncrz(x135) q[4], q[1];\ncrz(x136) q[4], q[0];\ncrz(x54) q[3], q[10];\ncrz(x128) q[3], q[9];\ncrz(x129) q[3], q[8];\ncrz(x129) q[3], q[7];\ncrz(x130) q[3], q[6];\ncrz(x131) q[3], q[5];\ncrz(x132) q[3], q[4];\ncrz(x134) q[3], q[2];\ncrz(x135) q[3], q[1];\ncrz(x136) q[3], q[0];\ncrz(x54) q[2], q[10];\ncrz(x128) q[2], q[9];\ncrz(x129) q[2], q[8];\ncrz(x129) q[2], q[7];\ncrz(x130) q[2], q[6];\ncrz(x131) q[2], q[5];\ncrz(x132) q[2], q[4];\ncrz(x133) q[2], q[3];\ncrz(x135) q[2], q[1];\ncrz(x136) q[2], q[0];\ncrz(x54) q[1], q[10];\ncrz(x128) q[1], q[9];\ncrz(x129) q[1], q[8];\ncrz(x129) q[1], q[7];\ncrz(x130) q[1], q[6];\ncrz(x131) q[1], q[5];\ncrz(x132) q[1], q[4];\ncrz(x133) q[1], q[3];\ncrz(x134) q[1], q[2];\ncrz(x136) q[1], q[0];\ncrz(x54) q[0], q[10];\ncrz(x128) q[0], q[9];\ncrz(x129) q[0], q[8];\ncrz(x129) q[0], q[7];\ncrz(x130) q[0], q[6];\ncrz(x131) q[0], q[5];\ncrz(x132) q[0], q[4];\ncrz(x133) q[0], q[3];\ncrz(x134) q[0], q[2];\ncrz(x135) q[0], q[1];\nrx(x137) q[0];\nrz(x138) q[0];\nrx(x53) q[1];\nrz(x139) q[1];\nrx(x140) q[2];\nrz(x107) q[2];\nrx(x141) q[3];\nrz(x17) q[3];\nrx(x142) q[4];\nrz(x143) q[4];\nrx(x144) q[5];\nrz(x145) q[5];\nrx(x146) q[6];\nrz(x147) q[6];\nrx(x126) q[7];\nrz(x148) q[7];\nrx(x126) q[8];\nrz(x149) q[8];\nrx(x150) q[9];\nrz(x32) q[9];\nrx(x151) q[10];\nrz(x152) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["bd840c67c60de5e8a0e6837e43896a66","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 7}, {\"capacity\": 7, \"source\": 4, \"target\": 1}, {\"capacity\": 6, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 5, \"target\": 1}, {\"capacity\": 6, \"source\": 6, \"target\": 7}]}","{\"states\": [128, 127], \"expectation_value\": -8.94609614742045, \"params\": [[[0.014700000000000001, -0.108], [0.0014, 0.001], [0.0082, 0.0021000000000000003], [0.0054, 0.0017000000000000001], [0.009000000000000001, 0.0021000000000000003], [-0.0558, 0.0055000000000000005], [0.0018000000000000002, -0.0599], [2.2855000000000003, 0.015600000000000001]], [[-0.0616, 1.645], [0.0037, 0.1126], [-0.0045000000000000005, 0.0017000000000000001], [-0.0017000000000000001, 0.0017000000000000001], [-0.0033, 0.0025], [0.0616, -0.0029000000000000002], [-0.0823, 0.002], [0.003, 0.0148]]], \"bitstrings\": [\"01111111\", \"10000000\"], \"total_optimization_steps\": 300, \"probabilities\": [0.3818354698795851, 0.4466080192832558], \"optimization_time\": 16.73429846763611}","-1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 * Z(2) + -2.0 * Z(1) + 2.25 * Z(4) + 0.75 * Z(5)",15,8,2,"{\"smallest_eigenvalues\": [-9.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.5, \"smallest_bitstrings\": [\"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.0147) q[0];\nry(0.0014) q[1];\nry(0.0082) q[2];\nry(0.0054) q[3];\nry(0.009) q[4];\nry(-0.0558) q[5];\nry(0.0018) q[6];\nry(2.2855) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.108) q[0];\nry(0.001) q[1];\nry(0.0021) q[2];\nry(0.0017) q[3];\nry(0.0021) q[4];\nry(0.0055) q[5];\nry(-0.0599) q[6];\nry(0.0156) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(-0.0616) q[0];\nry(0.0037) q[1];\nry(-0.0045) q[2];\nry(-0.0017) q[3];\nry(-0.0033) q[4];\nry(0.0616) q[5];\nry(-0.0823) q[6];\nry(0.003) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.645) q[0];\nry(0.1126) q[1];\nry(0.0017) q[2];\nry(0.0017) q[3];\nry(0.0025) q[4];\nry(-0.0029) q[5];\nry(0.002) q[6];\nry(0.0148) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x11) q[3];\nry(x10) q[4];\nry(x12) q[5];\nry(x13) q[6];\nry(x14) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(x15) q[0];\nry(x16) q[1];\nry(x17) q[2];\nry(x18) q[3];\nry(x19) q[4];\nry(x20) q[5];\nry(x21) q[6];\nry(x22) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x23) q[0];\nry(x24) q[1];\nry(x11) q[2];\nry(x11) q[3];\nry(x25) q[4];\nry(x26) q[5];\nry(x27) q[6];\nry(x28) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["-679162084426388165","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 2, 3], [1, 2, 5, 7], [4, 7], [3, 5], [0, 1, 3, 6], [0, 1, 4, 5], [0, 1, 2, 4], [2, 6, 7]]}","{\"states\": [122, 110], \"expectation_value\": -2.4854314334485683, \"params\": null, \"bitstrings\": [\"10000101\", \"10010001\"], \"total_optimization_steps\": 51, \"probabilities\": [0.07507978996761423, 0.8411197573671038], \"optimization_time\": 87.73725628852844}","0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.5833333333333335 * Z(2) + 0.6666666666666666 * Z(1) + 0.29166666666666663 * Z(3) + 0.25 * Z(5) + 0.29166666666666663 * Z(7) + 0.2499999999999999 * Z(4) + 0.375 * Z(0) + 0.29166666666666674 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-2.583333333333334], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.333333333333333, \"smallest_bitstrings\": [\"10010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5298) q[1];\nry(1.035) q[2];\ncry(-1.1615) q[5], q[3];\nry(0.7617) q[5];\ncry(-1.1063) q[4], q[7];\ncry(-0.5187) q[1], q[3];\ncry(0.526) q[1], q[5];\nry(0.6168) q[4];\ncry(-0.4523) q[2], q[7];\nry(1.0165) q[6];\nry(-0.341) q[3];\ncry(0.5045) q[1], q[4];\ncry(-0.3915) q[1], q[7];\ncry(-0.7371) q[4], q[0];\ncry(0.4441) q[1], q[2];\ncry(0.4414) q[1], q[6];\ncry(0.2789) q[2], q[4];\ncry(-0.4798) q[1], q[0];\ncry(0.2109) q[6], q[5];\nry(-0.1329) q[7];\ncry(-0.0953) q[6], q[3];\ncry(-0.2053) q[2], q[0];\ncry(0.1) q[6], q[4];\ncry(0.094) q[4], q[6];\ncry(0.0538) q[2], q[5];\ncry(0.0692) q[6], q[2];\ncry(-0.0375) q[6], q[7];\ncry(-0.0895) q[6], q[0];\ncry(-0.0259) q[2], q[3];\ncry(0.033) q[6], q[1];\ncry(0.0218) q[5], q[4];\nry(-0.0359) q[0];\ncry(0.0141) q[4], q[5];\ncry(-0.008) q[5], q[7];\ncry(0.0318) q[7], q[0];\ncry(0.0156) q[2], q[6];\ncry(-0.0069) q[4], q[3];\ncry(0.0121) q[4], q[2];\ncry(-0.0125) q[5], q[0];\ncry(-0.0163) q[7], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,null,{"$cut":{"chars":45578,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nry(1.035) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nry(1.035) q[2];\\ncry(-1.1615) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nry(1.035) q[2];\\ncry(-1.1615) q[5], q[3];\\nry(0.7617) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nry(1.035) q[2];\\ncry(-1.1615) q[5], q[3];\\nry(0.7617) q[5];\\ncry(-1.1063) q[4], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nry(1.035) q[2];\\ncry(-1.1615) q[5], q[3];\\nry(0.7617) q[5];\\ncry(-1.1063) q[4], q[7];\\ncry(-0.5187) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nry(1.035) q[2];\\ncry(-1.1615) q[5], q[3];\\nry(0.7617) q[5];\\ncry(-1.1063) q[4], q[7];\\ncry(-0.5187) q[1], q[3];\\ncry(0.526) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nry(1.035) q[2];\\ncry(-1.1615) q[5], q[3];\\nry(0.7617) q[5];\\ncry(-1.1063) q[4], q[7];\\ncry(-0.5187) q[1], q[3];\\ncry(0.526) q[1], q[5];\\nry(0.6168) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nry(1.035) q[2];\\ncry(-1.1615) q[5], q[3];\\nry(0.7617) q[5];\\ncry(-1.1063) q[4], q[7];\\ncry(-0.5187) q[1], q[3];\\ncry(0.526) q[1], q[5];\\nry(0.6168) q[4];\\ncry(-0.4523) q[2], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5298) q[1];\\nry(1.035) q[2];\\ncry(-1.1615) q[5], q[3];\\nry(0.7617) q[5];\\ncry(-1.1063) q[4], q[7];\\ncry(-0.5187) q[1], q"}}]
["0196429b0da7e22849832e813b6ffbfd","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 5, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 5, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 8}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 9}, {\"capacity\": 3, \"source\": 5, \"target\": 4}, {\"capacity\": 4, \"source\": 5, \"target\": 9}, {\"capacity\": 3, \"source\": 6, \"target\": 1}, {\"capacity\": 5, \"source\": 6, \"target\": 2}, {\"capacity\": 4, \"source\": 6, \"target\": 3}, {\"capacity\": 4, \"source\": 7, \"target\": 3}, {\"capacity\": 3, \"source\": 7, \"target\": 6}, {\"capacity\": 3, \"source\": 7, \"target\": 9}, {\"capacity\": 5, \"source\": 8, \"target\": 3}]}","{\"states\": [0, 1], \"expectation_value\": -15.358691073477953, \"params\": [-0.0033, 0.0004, 0.0027, 0.0029000000000000002, 0.0022, 0.0073, 0.0023, 0.0004, 0.0026000000000000003, 0.0034000000000000002, 0.0026000000000000003, 0.006900000000000001, 0.0026000000000000003, 0.006900000000000001, 0.0024000000000000002, 0.0021000000000000003, 0.0029000000000000002, 0.9542, 1.6143, 0.0024000000000000002, -0.002, -0.0021000000000000003, -0.0025, 0.0039000000000000003, 1.1855, -0.0035, -0.0041, 0.0017000000000000001, 0.0028], \"bitstrings\": [\"1111111111\", \"1111111110\"], \"total_optimization_steps\": 160, \"probabilities\": [0.47823389916560377, 0.5217483287476228], \"optimization_time\": 14.010564804077148}","-1.25 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -1.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.0 * (Z(9) @ Z(5)) + 3.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(4)) + -1.0 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 1.25 * Z(7) + 1.0 * Z(1) + -4.0 * Z(3) + 0.5 * Z(2) + 0.5 * Z(8) + 0.25 * Z(4) + 1.25 * Z(9)",4,10,1,"{\"smallest_eigenvalues\": [-17.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.75, \"smallest_bitstrings\": [\"1111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.0033) q[0];\nrz(0.0004) q[0];\nrx(0.0027) q[1];\nrz(0.0029) q[1];\nrx(0.0022) q[2];\nrz(0.0073) q[2];\nrx(0.0023) q[3];\nrz(0.0004) q[3];\nrx(0.0026) q[4];\nrz(0.0034) q[4];\nrx(0.0026) q[5];\nrz(0.0069) q[5];\nrx(0.0026) q[6];\nrz(0.0069) q[6];\nrx(0.0024) q[7];\nrz(0.0021) q[7];\nrx(0.0029) q[8];\nrz(0.9542) q[8];\nrx(1.6143) q[9];\nrz(0.0024) q[9];\ncrx(0.0028) q[9], q[8];\ncrx(0.0017) q[8], q[7];\ncrx(-0.0041) q[7], q[6];\ncrx(-0.0035) q[6], q[5];\ncrx(1.1855) q[5], q[4];\ncrx(0.0039) q[4], q[3];\ncrx(-0.0025) q[3], q[2];\ncrx(-0.0021) q[2], q[1];\ncrx(-0.002) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x1) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x7) q[5];\nrz(x9) q[5];\nrx(x7) q[6];\nrz(x9) q[6];\nrx(x10) q[7];\nrz(x11) q[7];\nrx(x3) q[8];\nrz(x12) q[8];\nrx(x13) q[9];\nrz(x10) q[9];\ncrx(x14) q[9], q[8];\ncrx(x15) q[8], q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[6], q[5];\ncrx(x18) q[5], q[4];\ncrx(x19) q[4], q[3];\ncrx(x20) q[3], q[2];\ncrx(x21) q[2], q[1];\ncrx(x22) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["a1941b5b877a0f7cf4180c33739d5ac8","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [271, 15], \"expectation_value\": -1.646937310229815, \"params\": [[0.0558], [-0.051800000000000006]], \"bitstrings\": [\"1011110000\", \"1111110000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0014446349377559657, 0.0014863461407031828], \"optimization_time\": 3.4760494232177734}","-2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(4)) + 1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -3.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * (Z(9) @ Z(7)) + 1.0 * Z(1) + -3.0 * Z(0) + -2.5 * Z(4) + -2.5 * Z(5) + -2.5 * Z(2) + -2.5 * Z(3) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-28.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -27.5, \"smallest_bitstrings\": [\"1111110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(-0.279) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(0.0558) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.3348) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(0.0558) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.3348) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.1674) q[5];\ncx q[4], q[5];\ncx q[0], q[2];\nrz(0.1674) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(-0.3348) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.3348) q[2];\ncx q[5], q[2];\ncx q[0], q[3];\nrz(0.0558) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(0.1116) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(0.1116) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(-0.279) q[3];\ncx q[2], q[3];\ncx q[8], q[6];\nrz(-0.1674) q[6];\ncx q[8], q[6];\ncx q[8], q[7];\nrz(0.0558) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(-0.2232) q[9];\ncx q[8], q[9];\ncx q[6], q[9];\nrz(0.0558) q[9];\ncx q[6], q[9];\ncx q[7], q[9];\nrz(-0.1674) q[9];\ncx q[7], q[9];\nrz(0.1116) q[1];\nrz(-0.3348) q[0];\nrz(-0.279) q[4];\nrz(-0.279) q[5];\nrz(-0.279) q[2];\nrz(-0.279) q[3];\nrz(0.0558) q[8];\nrz(0.0558) q[6];\nrz(0.0558) q[7];\nrz(0.0558) q[9];\nh q[0];\nrz(-0.1036) q[0];\nh q[0];\nh q[1];\nrz(-0.1036) q[1];\nh q[1];\nh q[2];\nrz(-0.1036) q[2];\nh q[2];\nh q[3];\nrz(-0.1036) q[3];\nh q[3];\nh q[4];\nrz(-0.1036) q[4];\nh q[4];\nh q[5];\nrz(-0.1036) q[5];\nh q[5];\nh q[6];\nrz(-0.1036) q[6];\nh q[6];\nh q[7];\nrz(-0.1036) q[7];\nh q[7];\nh q[8];\nrz(-0.1036) q[8];\nh q[8];\nh q[9];\nrz(-0.1036) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x3) q[5];\ncx q[4], q[5];\ncx q[0], q[2];\nrz(x3) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(x2) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x2) q[2];\ncx q[5], q[2];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(x4) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x4) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[8], q[6];\nrz(x5) q[6];\ncx q[8], q[6];\ncx q[8], q[7];\nrz(x1) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(x6) q[9];\ncx q[8], q[9];\ncx q[6], q[9];\nrz(x1) q[9];\ncx q[6], q[9];\ncx q[7], q[9];\nrz(x5) q[9];\ncx q[7], q[9];\nrz(x4) q[1];\nrz(x2) q[0];\nrz(x0) q[4];\nrz(x0) q[5];\nrz(x0) q[2];\nrz(x0) q[3];\nrz(x1) q[8];\nrz(x1) q[6];\nrz(x1) q[7];\nrz(x1) q[9];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nh q[8];\nrz(x7) q[8];\nh q[8];\nh q[9];\nrz(x7) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["c57625ce2de67c1086ad1c24582707c2","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 4}]}","{\"states\": [21, 5], \"expectation_value\": -4.249622881933726, \"params\": null, \"bitstrings\": [\"101010\", \"111010\"], \"total_optimization_steps\": 14, \"probabilities\": [0.24998087632969399, 0.24998460488181462], \"optimization_time\": 9.805203914642334}","-0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3)",1,6,4,"{\"smallest_eigenvalues\": [-4.25, -4.25, -4.25, -4.25], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.25, \"smallest_bitstrings\": [\"111110\", \"111010\", \"101010\", \"101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[5];\nry(-1.5706) q[0];\nry(-1.5706) q[2];\ncry(-1.5681) q[5], q[4];\ncry(0.0156) q[3], q[5];\ncry(0.0079) q[1], q[5];\nry(-0.0028) q[4];\ncry(-0.0002) q[5], q[0];\ncry(-0.0002) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\ncry(-0.0002) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\ncry(-0.0002) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5486) q[5];\\nry(-1.5706) q[0];\\nry(-1.5706) q[2];\\ncry(-1.5681) q[5], q[4];\\ncry(0.0156) q[3], q[5];\\ncry(0.0079) q[1], q[5];\\nry(-0.0028) q[4];\\ncry(-0.0002) q[5], q[0];\\ncry(-0.0002) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [0.747, 1.2469, 1.2473, 0.9984, 0.0107, 0.006, 0.0052, 0.0046, 0.0044, 0.0043, 0.004, 0.003, 0.003, 0.0028]}"]
["1579198481920623817","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 5], [0, 5], [1, 3], [3, 6], [0, 6], [2, 5], [0, 2], [4, 5], [1, 2]]}","{\"states\": [74, 92], \"expectation_value\": -0.10271844343095546, \"params\": [[-0.0746], [0.0785]], \"bitstrings\": [\"0110101\", \"0100011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008747377219791954, 0.008747377219791954], \"optimization_time\": 0.583425760269165}","0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 10, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"0011011\", \"1100100\", \"1101100\", \"1011100\", \"0100011\", \"0011010\", \"1001010\", \"1100101\", \"0110101\", \"0010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[5], q[1];\nrz(-0.0746) q[1];\ncx q[5], q[1];\ncx q[5], q[0];\nrz(-0.0746) q[0];\ncx q[5], q[0];\ncx q[1], q[3];\nrz(-0.0746) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(-0.0746) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(-0.0746) q[6];\ncx q[3], q[6];\ncx q[5], q[2];\nrz(-0.0746) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(-0.0746) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0746) q[2];\ncx q[0], q[2];\ncx q[5], q[4];\nrz(-0.0746) q[4];\ncx q[5], q[4];\nrz(0) q[5];\nrz(0) q[1];\nrz(0) q[0];\nrz(0) q[3];\nrz(0) q[6];\nrz(0) q[2];\nrz(0) q[4];\nh q[0];\nrz(0.157) q[0];\nh q[0];\nh q[1];\nrz(0.157) q[1];\nh q[1];\nh q[2];\nrz(0.157) q[2];\nh q[2];\nh q[3];\nrz(0.157) q[3];\nh q[3];\nh q[4];\nrz(0.157) q[4];\nh q[4];\nh q[5];\nrz(0.157) q[5];\nh q[5];\nh q[6];\nrz(0.157) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\nrz(x1) q[5];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[3];\nrz(x1) q[6];\nrz(x1) q[2];\nrz(x1) q[4];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["d2601bbf36e7658df88520110518167a","graph_isomorphism","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": []}","{\"states\": [61117, 59325], \"expectation_value\": -15.273555618327475, \"params\": null, \"bitstrings\": [\"0001000101000010\", \"0001100001000010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.04222499524777605, 0.7004648347042954], \"optimization_time\": 1198.4534106254578}","0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(6)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(14)) + 0.5 * (Z(15) @ Z(3)) + 0.5 * (Z(15) @ Z(7)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(14)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(14)) + 0.5 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(15)) + 2.0 * Z(1) + 2.0 * Z(2) + 2.0 * Z(3) + 2.0 * Z(0) + 2.0 * Z(6) + 2.0 * Z(5) + 2.0 * Z(7) + 2.0 * Z(4) + 2.0 * Z(10) + 2.0 * Z(9) + 2.0 * Z(11) + 2.0 * Z(8) + 2.0 * Z(14) + 2.0 * Z(13) + 2.0 * Z(15) + 2.0 * Z(12)",1,16,1,"{\"smallest_eigenvalues\": [-15.99999999999997], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.999999999999941, \"smallest_bitstrings\": [\"0001100001000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nry(1.5708) q[10];\nry(1.5708) q[5];\nry(1.5708) q[0];\ncry(1.5681) q[5], q[12];\ncry(1.5681) q[5], q[11];\ncry(1.5681) q[0], q[6];\ncry(1.5681) q[0], q[1];\ncry(-1.0342) q[13], q[14];\ncry(-1.0342) q[4], q[7];\ncry(-1.0342) q[13], q[9];\nry(0.7625) q[13];\ncry(-0.7068) q[8], q[9];\ncry(1.1319) q[13], q[8];\ncry(-0.7068) q[2], q[14];\ncry(1.1319) q[13], q[2];\ncry(-0.9902) q[2], q[3];\ncry(1.1911) q[10], q[7];\ncry(-1.2798) q[8], q[4];\ncry(0.7396) q[12], q[7];\ncry(-0.5757) q[7], q[3];\nry(0.3849) q[2];\ncry(-0.3814) q[8], q[14];\ncry(0.431) q[2], q[13];\ncry(-0.3778) q[2], q[9];\ncry(0.3611) q[7], q[8];\ncry(-0.326) q[12], q[4];\ncry(0.1491) q[8], q[7];\ncry(-0.0885) q[15], q[14];\ncry(0.107) q[8], q[13];\ncry(-0.082) q[7], q[9];\ncry(-0.0591) q[15], q[3];\nry(0.0718) q[8];\ncry(-0.0504) q[15], q[4];\ncry(0.0645) q[7], q[2];\ncry(-0.0348) q[12], q[14];\ncry(0.1585) q[9], q[2];\ncry(0.1577) q[14], q[8];\ncry(-0.0192) q[15], q[9];\ncry(0.1078) q[4], q[9];\ncry(-0.0151) q[12], q[3];\ncry(0.1023) q[3], q[14];\ncry(-0.0903) q[9], q[13];\ncry(0.1085) q[14], q[9];\ncry(-0.1) q[14], q[13];\ncry(-0.0858) q[4], q[8];\ncry(0.0961) q[9], q[14];\ncry(-0.0128) q[8], q[2];\ncry(-0.0739) q[9], q[8];\nry(0.0364) q[9];\ncry(-0.0099) q[2], q[8];\ncry(0.0359) q[13], q[4];\ncry(-0.0166) q[11], q[4];\ncry(-0.01) q[6], q[7];\ncry(-0.0538) q[9], q[7];\ncry(-0.0417) q[14], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];",null,"{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 2}, {\"id\": 1}, {\"id\": 3}, {\"id\": 0}], \"edges\": []}}",{"$cut":{"chars":159048,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nry(1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nry(1.5708) q[5];\\nry(1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nry(1.5708) q[5];\\nry(1.5708) q[0];\\ncry(1.5681) q[5], q[12];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nry(1.5708) q[5];\\nry(1.5708) q[0];\\ncry(1.5681) q[5], q[12];\\ncry(1.5681) q[5], q[11];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q"}}]
["c0497b20d0e680cacc77174a13e8b8b4","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [35, 49], \"expectation_value\": -0.48599386707649433, \"params\": [[-0.035300000000000005, -0.0611, -0.059800000000000006], [0.0341, 0.0618, 0.0585]], \"bitstrings\": [\"1011100\", \"1001110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.010839653147163564, 0.010839653147163569], \"optimization_time\": 4.010623216629028}","0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5)",1,7,3,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"1011100\", \"0011101\", \"0111001\", \"1001110\", \"0001111\", \"0101011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[6], q[0];\nrz(-0.0353) q[0];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(-0.0353) q[1];\ncx q[3], q[1];\ncx q[6], q[4];\nrz(-0.0353) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(-0.0353) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(-0.0353) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(-0.0353) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(-0.0353) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.0353) q[5];\ncx q[2], q[5];\nrz(0.0353) q[6];\nrz(0) q[0];\nrz(0.1059) q[3];\nrz(0.0353) q[1];\nrz(0.0706) q[4];\nrz(0.0353) q[2];\nrz(0.0353) q[5];\nh q[0];\nrz(0.0682) q[0];\nh q[0];\nh q[1];\nrz(0.0682) q[1];\nh q[1];\nh q[2];\nrz(0.0682) q[2];\nh q[2];\nh q[3];\nrz(0.0682) q[3];\nh q[3];\nh q[4];\nrz(0.0682) q[4];\nh q[4];\nh q[5];\nrz(0.0682) q[5];\nh q[5];\nh q[6];\nrz(0.0682) q[6];\nh q[6];\ncx q[6], q[0];\nrz(-0.0611) q[0];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(-0.0611) q[1];\ncx q[3], q[1];\ncx q[6], q[4];\nrz(-0.0611) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(-0.0611) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(-0.0611) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(-0.0611) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(-0.0611) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.0611) q[5];\ncx q[2], q[5];\nrz(0.0611) q[6];\nrz(0) q[0];\nrz(0.1833) q[3];\nrz(0.0611) q[1];\nrz(0.1222) q[4];\nrz(0.0611) q[2];\nrz(0.0611) q[5];\nh q[0];\nrz(0.1236) q[0];\nh q[0];\nh q[1];\nrz(0.1236) q[1];\nh q[1];\nh q[2];\nrz(0.1236) q[2];\nh q[2];\nh q[3];\nrz(0.1236) q[3];\nh q[3];\nh q[4];\nrz(0.1236) q[4];\nh q[4];\nh q[5];\nrz(0.1236) q[5];\nh q[5];\nh q[6];\nrz(0.1236) q[6];\nh q[6];\ncx q[6], q[0];\nrz(-0.0598) q[0];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(-0.0598) q[1];\ncx q[3], q[1];\ncx q[6], q[4];\nrz(-0.0598) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(-0.0598) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(-0.0598) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(-0.0598) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(-0.0598) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.0598) q[5];\ncx q[2], q[5];\nrz(0.0598) q[6];\nrz(0) q[0];\nrz(0.1794) q[3];\nrz(0.0598) q[1];\nrz(0.1196) q[4];\nrz(0.0598) q[2];\nrz(0.0598) q[5];\nh q[0];\nrz(0.117) q[0];\nh q[0];\nh q[1];\nrz(0.117) q[1];\nh q[1];\nh q[2];\nrz(0.117) q[2];\nh q[2];\nh q[3];\nrz(0.117) q[3];\nh q[3];\nh q[4];\nrz(0.117) q[4];\nh q[4];\nh q[5];\nrz(0.117) q[5];\nh q[5];\nh q[6];\nrz(0.117) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[6], q[0];\nrz(x0) q[0];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\nrz(x1) q[6];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x1) q[1];\nrz(x4) q[4];\nrz(x1) q[2];\nrz(x1) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[6], q[0];\nrz(x6) q[0];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(x6) q[1];\ncx q[3], q[1];\ncx q[6], q[4];\nrz(x6) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(x6) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\nrz(x7) q[6];\nrz(x2) q[0];\nrz(x8) q[3];\nrz(x7) q[1];\nrz(x9) q[4];\nrz(x7) q[2];\nrz(x7) q[5];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[6], q[0];\nrz(x11) q[0];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[6], q[4];\nrz(x11) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\nrz(x12) q[6];\nrz(x2) q[0];\nrz(x13) q[3];\nrz(x12) q[1];\nrz(x14) q[4];\nrz(x12) q[2];\nrz(x12) q[5];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["-9162509911004471644","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 4], [1, 2, 3, 4, 6], [0, 1, 2, 3, 5, 6]]}","{\"states\": [47, 62], \"expectation_value\": -0.649208018801621, \"params\": [[-1.0754000000000001], [0.39580000000000004]], \"bitstrings\": [\"1010000\", \"1000001\"], \"total_optimization_steps\": 110, \"probabilities\": [0.026190867890661794, 0.0261908678906618], \"optimization_time\": 3.5192453861236572}","0.5 * (Z(0) @ Z(4)) + 0.05 * (Z(1) @ Z(4)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333334 * (Z(2) @ Z(1)) + 0.05 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0.05 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(6) @ Z(2)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(6)) + 0.1000000000000002 * Z(4) + 0.08333333333333326 * Z(0) + 0.18333333333333335 * Z(1) + 0.18333333333333335 * Z(2) + 0.18333333333333335 * Z(3) + 0.18333333333333335 * Z(6) + 0.08333333333333333 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-0.9000000000000005], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.9000000000000004, \"smallest_bitstrings\": [\"1000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(-1.0754) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(-0.1075) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(-0.0717) q[1];\ncx q[0], q[1];\ncx q[4], q[2];\nrz(-0.1075) q[2];\ncx q[4], q[2];\ncx q[0], q[2];\nrz(-0.0717) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(-0.1792) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(-0.1075) q[3];\ncx q[4], q[3];\ncx q[0], q[3];\nrz(-0.0717) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(-0.1792) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.1792) q[3];\ncx q[2], q[3];\ncx q[4], q[6];\nrz(-0.1075) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(-0.0717) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(-0.1792) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.1792) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.1792) q[6];\ncx q[3], q[6];\ncx q[0], q[5];\nrz(-0.0717) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(-0.0717) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0717) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0717) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(-0.0717) q[5];\ncx q[6], q[5];\nrz(-0.2151) q[4];\nrz(-0.1792) q[0];\nrz(-0.3943) q[1];\nrz(-0.3943) q[2];\nrz(-0.3943) q[3];\nrz(-0.3943) q[6];\nrz(-0.1792) q[5];\nh q[0];\nrz(0.7916) q[0];\nh q[0];\nh q[1];\nrz(0.7916) q[1];\nh q[1];\nh q[2];\nrz(0.7916) q[2];\nh q[2];\nh q[3];\nrz(0.7916) q[3];\nh q[3];\nh q[4];\nrz(0.7916) q[4];\nh q[4];\nh q[5];\nrz(0.7916) q[5];\nh q[5];\nh q[6];\nrz(0.7916) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x1) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(x2) q[1];\ncx q[0], q[1];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x3) q[3];\ncx q[2], q[3];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(x3) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x3) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\nrz(x4) q[4];\nrz(x3) q[0];\nrz(x5) q[1];\nrz(x5) q[2];\nrz(x5) q[3];\nrz(x5) q[6];\nrz(x3) q[5];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["66118b4a39d9f94415b36602b745f3db","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 4}]}","{\"states\": [64, 63], \"expectation_value\": -0.677566328957725, \"params\": [[0.0627, 0.06430000000000001, 0.051800000000000006, 0.0526], [-0.0659, -0.0685, -0.0538, -0.0477]], \"bitstrings\": [\"0111111\", \"1000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.016203581072566482, 0.017916262409243308], \"optimization_time\": 5.333890438079834}","-0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5 * Z(2) + 0.0 * Z(6) + 0.5 * Z(3)",1,7,4,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"1000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(-0.0314) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(-0.0941) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(-0.0314) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0627) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(-0.0941) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0314) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(-0.0314) q[2];\ncx q[5], q[2];\ncx q[0], q[6];\nrz(0.0627) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0627) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(-0.0314) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0314) q[3];\ncx q[2], q[3];\nrz(-0.0627) q[4];\nrz(-0.0314) q[0];\nrz(0.0314) q[1];\nrz(-0.0627) q[5];\nrz(0.0627) q[2];\nrz(0) q[6];\nrz(0.0627) q[3];\nh q[0];\nrz(-0.1318) q[0];\nh q[0];\nh q[1];\nrz(-0.1318) q[1];\nh q[1];\nh q[2];\nrz(-0.1318) q[2];\nh q[2];\nh q[3];\nrz(-0.1318) q[3];\nh q[3];\nh q[4];\nrz(-0.1318) q[4];\nh q[4];\nh q[5];\nrz(-0.1318) q[5];\nh q[5];\nh q[6];\nrz(-0.1318) q[6];\nh q[6];\ncx q[4], q[0];\nrz(-0.0322) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(-0.0965) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(-0.0322) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0643) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(-0.0965) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0322) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(-0.0322) q[2];\ncx q[5], q[2];\ncx q[0], q[6];\nrz(0.0643) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0643) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(-0.0322) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0322) q[3];\ncx q[2], q[3];\nrz(-0.0643) q[4];\nrz(-0.0322) q[0];\nrz(0.0322) q[1];\nrz(-0.0643) q[5];\nrz(0.0643) q[2];\nrz(0) q[6];\nrz(0.0643) q[3];\nh q[0];\nrz(-0.137) q[0];\nh q[0];\nh q[1];\nrz(-0.137) q[1];\nh q[1];\nh q[2];\nrz(-0.137) q[2];\nh q[2];\nh q[3];\nrz(-0.137) q[3];\nh q[3];\nh q[4];\nrz(-0.137) q[4];\nh q[4];\nh q[5];\nrz(-0.137) q[5];\nh q[5];\nh q[6];\nrz(-0.137) q[6];\nh q[6];\ncx q[4], q[0];\nrz(-0.0259) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(-0.0777) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(-0.0259) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0518) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(-0.0777) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0259) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(-0.0259) q[2];\ncx q[5], q[2];\ncx q[0], q[6];\nrz(0.0518) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0518) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(-0.0259) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0259) q[3];\ncx q[2], q[3];\nrz(-0.0518) q[4];\nrz(-0.0259) q[0];\nrz(0.0259) q[1];\nrz(-0.0518) q[5];\nrz(0.0518) q[2];\nrz(0) q[6];\nrz(0.0518) q[3];\nh q[0];\nrz(-0.1076) q[0];\nh q[0];\nh q[1];\nrz(-0.1076) q[1];\nh q[1];\nh q[2];\nrz(-0.1076) q[2];\nh q[2];\nh q[3];\nrz(-0.1076) q[3];\nh q[3];\nh q[4];\nrz(-0.1076) q[4];\nh q[4];\nh q[5];\nrz(-0.1076) q[5];\nh q[5];\nh q[6];\nrz(-0.1076) q[6];\nh q[6];\ncx q[4], q[0];\nrz(-0.0263) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(-0.0789) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(-0.0263) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.0526) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(-0.0789) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0263) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(-0.0263) q[2];\ncx q[5], q[2];\ncx q[0], q[6];\nrz(0.0526) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0526) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(-0.0263) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0263) q[3];\ncx q[2], q[3];\nrz(-0.0526) q[4];\nrz(-0.0263) q[0];\nrz(0.0263) q[1];\nrz(-0.0526) q[5];\nrz(0.0526) q[2];\nrz(0) q[6];\nrz(0.0526) q[3];\nh q[0];\nrz(-0.0954) q[0];\nh q[0];\nh q[1];\nrz(-0.0954) q[1];\nh q[1];\nh q[2];\nrz(-0.0954) q[2];\nh q[2];\nh q[3];\nrz(-0.0954) q[3];\nh q[3];\nh q[4];\nrz(-0.0954) q[4];\nh q[4];\nh q[5];\nrz(-0.0954) q[5];\nh q[5];\nh q[6];\nrz(-0.0954) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x1) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x2) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\nrz(x2) q[4];\nrz(x0) q[0];\nrz(x4) q[1];\nrz(x2) q[5];\nrz(x3) q[2];\nrz(x5) q[6];\nrz(x3) q[3];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\ncx q[4], q[0];\nrz(x7) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x8) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(x7) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(x8) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x7) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x7) q[2];\ncx q[5], q[2];\ncx q[0], q[6];\nrz(x10) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x7) q[3];\ncx q[2], q[3];\nrz(x9) q[4];\nrz(x7) q[0];\nrz(x11) q[1];\nrz(x9) q[5];\nrz(x10) q[2];\nrz(x5) q[6];\nrz(x10) q[3];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\ncx q[4], q[0];\nrz(x13) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x14) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(x13) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x15) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(x14) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x13) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x13) q[2];\ncx q[5], q[2];\ncx q[0], q[6];\nrz(x16) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x15) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(x13) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x13) q[3];\ncx q[2], q[3];\nrz(x15) q[4];\nrz(x13) q[0];\nrz(x17) q[1];\nrz(x15) q[5];\nrz(x16) q[2];\nrz(x5) q[6];\nrz(x16) q[3];\nh q[0];\nrz(x18) q[0];\nh q[0];\nh q[1];\nrz(x18) q[1];\nh q[1];\nh q[2];\nrz(x18) q[2];\nh q[2];\nh q[3];\nrz(x18) q[3];\nh q[3];\nh q[4];\nrz(x18) q[4];\nh q[4];\nh q[5];\nrz(x18) q[5];\nh q[5];\nh q[6];\nrz(x18) q[6];\nh q[6];\ncx q[4], q[0];\nrz(x19) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x20) q[1];\ncx q[4], q[1];\ncx q[4], q[5];\nrz(x19) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x21) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(x20) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x19) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x19) q[2];\ncx q[5], q[2];\ncx q[0], q[6];\nrz(x22) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x21) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(x19) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x19) q[3];\ncx q[2], q[3];\nrz(x21) q[4];\nrz(x19) q[0];\nrz(x23) q[1];\nrz(x21) q[5];\nrz(x22) q[2];\nrz(x5) q[6];\nrz(x22) q[3];\nh q[0];\nrz(x24) q[0];\nh q[0];\nh q[1];\nrz(x24) q[1];\nh q[1];\nh q[2];\nrz(x24) q[2];\nh q[2];\nh q[3];\nrz(x24) q[3];\nh q[3];\nh q[4];\nrz(x24) q[4];\nh q[4];\nh q[5];\nrz(x24) q[5];\nh q[5];\nh q[6];\nrz(x24) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["fd959b015d7c5b50b2cd05831ed95a60","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [50, 44], \"expectation_value\": -0.7960982732254176, \"params\": [[-0.047400000000000005, -0.0366, -0.0398, -0.0724], [0.060200000000000004, 0.0476, 0.045700000000000005, 0.063]], \"bitstrings\": [\"001101\", \"010011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.025918606756161897, 0.027092050430068477], \"optimization_time\": 4.669046640396118}","0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4)",1,6,4,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"001101\", \"010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[5], q[0];\nrz(-0.0474) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(-0.0474) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(-0.0474) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(-0.0474) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(-0.0474) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0474) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(-0.0474) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0474) q[4];\ncx q[3], q[4];\nrz(0.1422) q[5];\nrz(0) q[0];\nrz(0.0948) q[1];\nrz(0.0948) q[2];\nrz(0.0948) q[3];\nrz(0.0474) q[4];\nh q[0];\nrz(0.1204) q[0];\nh q[0];\nh q[1];\nrz(0.1204) q[1];\nh q[1];\nh q[2];\nrz(0.1204) q[2];\nh q[2];\nh q[3];\nrz(0.1204) q[3];\nh q[3];\nh q[4];\nrz(0.1204) q[4];\nh q[4];\nh q[5];\nrz(0.1204) q[5];\nh q[5];\ncx q[5], q[0];\nrz(-0.0366) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(-0.0366) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(-0.0366) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(-0.0366) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(-0.0366) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0366) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(-0.0366) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0366) q[4];\ncx q[3], q[4];\nrz(0.1098) q[5];\nrz(0) q[0];\nrz(0.0732) q[1];\nrz(0.0732) q[2];\nrz(0.0732) q[3];\nrz(0.0366) q[4];\nh q[0];\nrz(0.0952) q[0];\nh q[0];\nh q[1];\nrz(0.0952) q[1];\nh q[1];\nh q[2];\nrz(0.0952) q[2];\nh q[2];\nh q[3];\nrz(0.0952) q[3];\nh q[3];\nh q[4];\nrz(0.0952) q[4];\nh q[4];\nh q[5];\nrz(0.0952) q[5];\nh q[5];\ncx q[5], q[0];\nrz(-0.0398) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(-0.0398) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(-0.0398) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(-0.0398) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(-0.0398) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0398) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(-0.0398) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0398) q[4];\ncx q[3], q[4];\nrz(0.1194) q[5];\nrz(0) q[0];\nrz(0.0796) q[1];\nrz(0.0796) q[2];\nrz(0.0796) q[3];\nrz(0.0398) q[4];\nh q[0];\nrz(0.0914) q[0];\nh q[0];\nh q[1];\nrz(0.0914) q[1];\nh q[1];\nh q[2];\nrz(0.0914) q[2];\nh q[2];\nh q[3];\nrz(0.0914) q[3];\nh q[3];\nh q[4];\nrz(0.0914) q[4];\nh q[4];\nh q[5];\nrz(0.0914) q[5];\nh q[5];\ncx q[5], q[0];\nrz(-0.0724) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(-0.0724) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(-0.0724) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(-0.0724) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(-0.0724) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0724) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(-0.0724) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0724) q[4];\ncx q[3], q[4];\nrz(0.2172) q[5];\nrz(0) q[0];\nrz(0.1448) q[1];\nrz(0.1448) q[2];\nrz(0.1448) q[3];\nrz(0.0724) q[4];\nh q[0];\nrz(0.126) q[0];\nh q[0];\nh q[1];\nrz(0.126) q[1];\nh q[1];\nh q[2];\nrz(0.126) q[2];\nh q[2];\nh q[3];\nrz(0.126) q[3];\nh q[3];\nh q[4];\nrz(0.126) q[4];\nh q[4];\nh q[5];\nrz(0.126) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x1) q[5];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x4) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\ncx q[5], q[0];\nrz(x6) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x6) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(x6) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x6) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x6) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\nrz(x7) q[5];\nrz(x2) q[0];\nrz(x8) q[1];\nrz(x8) q[2];\nrz(x8) q[3];\nrz(x9) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\ncx q[5], q[0];\nrz(x11) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x11) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(x11) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x11) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x11) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\nrz(x12) q[5];\nrz(x2) q[0];\nrz(x13) q[1];\nrz(x13) q[2];\nrz(x13) q[3];\nrz(x14) q[4];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\ncx q[5], q[0];\nrz(x16) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x16) q[1];\ncx q[5], q[1];\ncx q[5], q[2];\nrz(x16) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(x16) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x16) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x16) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x16) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x16) q[4];\ncx q[3], q[4];\nrz(x17) q[5];\nrz(x2) q[0];\nrz(x18) q[1];\nrz(x18) q[2];\nrz(x18) q[3];\nrz(x19) q[4];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["-4147486941807655039","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[5, 6], [4, 5], [1, 2, 4], [5, 7], [2, 3, 5], [0, 5], [8, 4], [1, 6], [8, 1, 2, 7], [4, 6], [0, 2, 3, 4], [0, 2, 3, 7], [1, 5]]}","{\"states\": [498, 434], \"expectation_value\": -3.500002354853583, \"params\": [1.3974, -0.0281, 1.3889, 0.0015, 1.4015, -0.0256, 1.3914, 0.0076, 1.1681000000000001, 0.18960000000000002, 0.9743, 0.0026000000000000003, 1.4015, -0.036500000000000005, 1.3946, 0.0001, 1.3968, -0.033100000000000004, 1.3897000000000002, 0.0018000000000000002, 0.2535, -0.012, 0.23600000000000002, 0.009300000000000001, 0.7859, 0.0056, 0.5064000000000001, 0.0018000000000000002, 1.4015, -0.0287, 1.3968, 0.0043, 0.8578, 0.0028, 0.35900000000000004, 0.0092, 0.11220000000000001, 0.1077, -0.22660000000000002, 0.0727, 0.10300000000000001, -0.1389, -0.3341, 0.098, -0.3257], \"bitstrings\": [\"000001101\", \"001001101\"], \"total_optimization_steps\": 140, \"probabilities\": [0.4013876194049427, 0.4219398942380115], \"optimization_time\": 21.71029496192932}","0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.5 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.0 * Z(6) + 0.16666666666666652 * Z(5) + 0.2916666666666665 * Z(4) + 0.29166666666666674 * Z(1) + 0.7083333333333333 * Z(2) + 0.25 * Z(7) + 0.41666666666666663 * Z(3) + 0.25 * Z(0) + 0.1250000000000001 * Z(8)",6,9,1,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.7500000000000004, \"smallest_bitstrings\": [\"001001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(1.3974) q[0];\nrz(-0.0281) q[0];\nrx(1.4015) q[1];\nrz(-0.0256) q[1];\nrx(1.1681) q[2];\nrz(0.1896) q[2];\nrx(1.4015) q[3];\nrz(-0.0365) q[3];\nrx(1.3968) q[4];\nrz(-0.0331) q[4];\nrx(0.2535) q[5];\nrz(-0.012) q[5];\nrx(0.7859) q[6];\nrz(0.0056) q[6];\nrx(1.4015) q[7];\nrz(-0.0287) q[7];\nrx(0.8578) q[8];\nrz(0.0028) q[8];\ncrx(0.098) q[8], q[7];\ncrx(-0.3341) q[8], q[6];\ncrx(-0.1389) q[8], q[5];\ncrx(0.103) q[8], q[4];\ncrx(0.0727) q[8], q[3];\ncrx(-0.2266) q[8], q[2];\ncrx(0.1077) q[8], q[1];\ncrx(0.1122) q[8], q[0];\ncrx(-0.3257) q[7], q[8];\ncrx(-0.3341) q[7], q[6];\ncrx(-0.1389) q[7], q[5];\ncrx(0.103) q[7], q[4];\ncrx(0.0727) q[7], q[3];\ncrx(-0.2266) q[7], q[2];\ncrx(0.1077) q[7], q[1];\ncrx(0.1122) q[7], q[0];\ncrx(-0.3257) q[6], q[8];\ncrx(0.098) q[6], q[7];\ncrx(-0.1389) q[6], q[5];\ncrx(0.103) q[6], q[4];\ncrx(0.0727) q[6], q[3];\ncrx(-0.2266) q[6], q[2];\ncrx(0.1077) q[6], q[1];\ncrx(0.1122) q[6], q[0];\ncrx(-0.3257) q[5], q[8];\ncrx(0.098) q[5], q[7];\ncrx(-0.3341) q[5], q[6];\ncrx(0.103) q[5], q[4];\ncrx(0.0727) q[5], q[3];\ncrx(-0.2266) q[5], q[2];\ncrx(0.1077) q[5], q[1];\ncrx(0.1122) q[5], q[0];\ncrx(-0.3257) q[4], q[8];\ncrx(0.098) q[4], q[7];\ncrx(-0.3341) q[4], q[6];\ncrx(-0.1389) q[4], q[5];\ncrx(0.0727) q[4], q[3];\ncrx(-0.2266) q[4], q[2];\ncrx(0.1077) q[4], q[1];\ncrx(0.1122) q[4], q[0];\ncrx(-0.3257) q[3], q[8];\ncrx(0.098) q[3], q[7];\ncrx(-0.3341) q[3], q[6];\ncrx(-0.1389) q[3], q[5];\ncrx(0.103) q[3], q[4];\ncrx(-0.2266) q[3], q[2];\ncrx(0.1077) q[3], q[1];\ncrx(0.1122) q[3], q[0];\ncrx(-0.3257) q[2], q[8];\ncrx(0.098) q[2], q[7];\ncrx(-0.3341) q[2], q[6];\ncrx(-0.1389) q[2], q[5];\ncrx(0.103) q[2], q[4];\ncrx(0.0727) q[2], q[3];\ncrx(0.1077) q[2], q[1];\ncrx(0.1122) q[2], q[0];\ncrx(-0.3257) q[1], q[8];\ncrx(0.098) q[1], q[7];\ncrx(-0.3341) q[1], q[6];\ncrx(-0.1389) q[1], q[5];\ncrx(0.103) q[1], q[4];\ncrx(0.0727) q[1], q[3];\ncrx(-0.2266) q[1], q[2];\ncrx(0.1122) q[1], q[0];\ncrx(-0.3257) q[0], q[8];\ncrx(0.098) q[0], q[7];\ncrx(-0.3341) q[0], q[6];\ncrx(-0.1389) q[0], q[5];\ncrx(0.103) q[0], q[4];\ncrx(0.0727) q[0], q[3];\ncrx(-0.2266) q[0], q[2];\ncrx(0.1077) q[0], q[1];\nrx(1.3889) q[0];\nrz(0.0015) q[0];\nrx(1.3914) q[1];\nrz(0.0076) q[1];\nrx(0.9743) q[2];\nrz(0.0026) q[2];\nrx(1.3946) q[3];\nrz(0.0001) q[3];\nrx(1.3897) q[4];\nrz(0.0018) q[4];\nrx(0.236) q[5];\nrz(0.0093) q[5];\nrx(0.5064) q[6];\nrz(0.0018) q[6];\nrx(1.3968) q[7];\nrz(0.0043) q[7];\nrx(0.359) q[8];\nrz(0.0092) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x2) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x2) q[7];\nrz(x13) q[7];\nrx(x14) q[8];\nrz(x15) q[8];\ncrx(x16) q[8], q[7];\ncrx(x17) q[8], q[6];\ncrx(x18) q[8], q[5];\ncrx(x19) q[8], q[4];\ncrx(x20) q[8], q[3];\ncrx(x21) q[8], q[2];\ncrx(x22) q[8], q[1];\ncrx(x23) q[8], q[0];\ncrx(x24) q[7], q[8];\ncrx(x17) q[7], q[6];\ncrx(x18) q[7], q[5];\ncrx(x19) q[7], q[4];\ncrx(x20) q[7], q[3];\ncrx(x21) q[7], q[2];\ncrx(x22) q[7], q[1];\ncrx(x23) q[7], q[0];\ncrx(x24) q[6], q[8];\ncrx(x16) q[6], q[7];\ncrx(x18) q[6], q[5];\ncrx(x19) q[6], q[4];\ncrx(x20) q[6], q[3];\ncrx(x21) q[6], q[2];\ncrx(x22) q[6], q[1];\ncrx(x23) q[6], q[0];\ncrx(x24) q[5], q[8];\ncrx(x16) q[5], q[7];\ncrx(x17) q[5], q[6];\ncrx(x19) q[5], q[4];\ncrx(x20) q[5], q[3];\ncrx(x21) q[5], q[2];\ncrx(x22) q[5], q[1];\ncrx(x23) q[5], q[0];\ncrx(x24) q[4], q[8];\ncrx(x16) q[4], q[7];\ncrx(x17) q[4], q[6];\ncrx(x18) q[4], q[5];\ncrx(x20) q[4], q[3];\ncrx(x21) q[4], q[2];\ncrx(x22) q[4], q[1];\ncrx(x23) q[4], q[0];\ncrx(x24) q[3], q[8];\ncrx(x16) q[3], q[7];\ncrx(x17) q[3], q[6];\ncrx(x18) q[3], q[5];\ncrx(x19) q[3], q[4];\ncrx(x21) q[3], q[2];\ncrx(x22) q[3], q[1];\ncrx(x23) q[3], q[0];\ncrx(x24) q[2], q[8];\ncrx(x16) q[2], q[7];\ncrx(x17) q[2], q[6];\ncrx(x18) q[2], q[5];\ncrx(x19) q[2], q[4];\ncrx(x20) q[2], q[3];\ncrx(x22) q[2], q[1];\ncrx(x23) q[2], q[0];\ncrx(x24) q[1], q[8];\ncrx(x16) q[1], q[7];\ncrx(x17) q[1], q[6];\ncrx(x18) q[1], q[5];\ncrx(x19) q[1], q[4];\ncrx(x20) q[1], q[3];\ncrx(x21) q[1], q[2];\ncrx(x23) q[1], q[0];\ncrx(x24) q[0], q[8];\ncrx(x16) q[0], q[7];\ncrx(x17) q[0], q[6];\ncrx(x18) q[0], q[5];\ncrx(x19) q[0], q[4];\ncrx(x20) q[0], q[3];\ncrx(x21) q[0], q[2];\ncrx(x22) q[0], q[1];\nrx(x25) q[0];\nrz(x26) q[0];\nrx(x27) q[1];\nrz(x28) q[1];\nrx(x29) q[2];\nrz(x30) q[2];\nrx(x31) q[3];\nrz(x32) q[3];\nrx(x33) q[4];\nrz(x34) q[4];\nrx(x35) q[5];\nrz(x36) q[5];\nrx(x37) q[6];\nrz(x34) q[6];\nrx(x7) q[7];\nrz(x38) q[7];\nrx(x39) q[8];\nrz(x40) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["4072681458450030417","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"hyperedges\": [[3, 4], [2, 11], [10, 3], [9, 4, 7], [0, 1, 10, 12], [8, 11, 6], [8, 5], [1, 11, 12, 5], [11, 3], [8, 2, 3, 6], [0, 6], [3, 5], [2, 4, 7], [1, 2, 5, 7], [8, 11, 12], [9, 2, 12, 5], [8, 4], [1, 3, 6], [8, 1], [9, 11, 4, 6], [3, 12, 6], [9, 10, 4], [0, 3, 12, 7], [4, 5], [0, 2, 3, 7], [8, 9, 2], [0, 9, 7], [8, 10], [8, 9, 12, 7], [1, 4]]}","{\"states\": [3311, 2287], \"expectation_value\": -7.162896760075402, \"params\": [0.1908, 0.1917, 1.5639, 1.5744, 0.7101000000000001, 0.7089000000000001, 0.0037, 0.0049, 0.0034000000000000002, -0.0022, 1.481, 1.4735, 1.5719, 1.5647, 1.5655000000000001, 1.5731000000000002, 0.0892, 0.0883, 1.5710000000000002, 1.5641, 1.5749, 1.5787, 1.5712000000000002, 1.5659, 1.5692000000000002, 1.5690000000000002, -0.021400000000000002, 0.0082, -0.0517, 0.0046, 0.0027, 0.0027, 0.6627000000000001, 0.0095, -0.8773000000000001, 0.0099, -0.8605, 0.0063, -0.0038, 0.0095, 0.0008, 0.00030000000000000003, -0.0057, 0.009300000000000001, -0.6938000000000001, 0.0049, -0.0018000000000000002, 0.0032, 0.0011, 0.0045000000000000005, -0.0017000000000000001, 0.0018000000000000002], \"bitstrings\": [\"1001100010000\", \"1011100010000\"], \"total_optimization_steps\": 180, \"probabilities\": [0.39149144645093226, 0.5565756043235432], \"optimization_time\": 17.381078481674194}","0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(11) @ Z(4)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(2)) + 0.16666666666666666 * (Z(10) @ Z(4)) + 0.5 * (Z(10) @ Z(3)) + 0.41666666666666663 * (Z(9) @ Z(4)) + 0.25 * (Z(9) @ Z(2)) + 0.08333333333333333 * (Z(9) @ Z(11)) + 0.16666666666666666 * (Z(9) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.41666666666666663 * (Z(7) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.3333333333333333 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(11)) + 0.08333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.25 * (Z(12) @ Z(3)) + 0.08333333333333333 * (Z(12) @ Z(2)) + 0.25 * (Z(12) @ Z(11)) + 0.08333333333333333 * (Z(12) @ Z(10)) + 0.16666666666666666 * (Z(12) @ Z(9)) + 0.16666666666666666 * (Z(12) @ Z(7)) + 0.16666666666666666 * (Z(12) @ Z(0)) + 0.16666666666666666 * (Z(12) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(10)) + 0.25 * (Z(8) @ Z(9)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(12)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(11)) + 0.08333333333333333 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(12)) + 0.25 * (Z(6) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(11)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(12)) + 0.5 * (Z(5) @ Z(8)) + 0.625 * Z(4) + 0.7083333333333335 * Z(3) + 0.8333333333333328 * Z(2) + 0.5833333333333333 * Z(11) + 0.29166666666666674 * Z(10) + 1.041666666666667 * Z(9) + 0.9999999999999999 * Z(7) + 0.5416666666666665 * Z(0) + 0.541666666666667 * Z(1) + 0.9583333333333335 * Z(12) + 0.75 * Z(8) + 0.75 * Z(6) + 0.375 * Z(5)",13,13,1,"{\"smallest_eigenvalues\": [-7.250000000000002], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.25, \"smallest_bitstrings\": [\"1011100010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(0.1908) q[0];\nry(1.5639) q[1];\nry(0.7101) q[2];\nry(0.0037) q[3];\nry(0.0034) q[4];\nry(1.481) q[5];\nry(1.5719) q[6];\nry(1.5655) q[7];\nry(0.0892) q[8];\nry(1.571) q[9];\nry(1.5749) q[10];\nry(1.5712) q[11];\nry(1.5692) q[12];\ncrz(-0.0214) q[12], q[0];\ncrz(-0.0017) q[11], q[12];\ncrz(0.0011) q[10], q[11];\ncrz(-0.0018) q[9], q[10];\ncrz(-0.6938) q[8], q[9];\ncrz(-0.0057) q[7], q[8];\ncrz(0.0008) q[6], q[7];\ncrz(-0.0038) q[5], q[6];\ncrz(-0.8605) q[4], q[5];\ncrz(-0.8773) q[3], q[4];\ncrz(0.6627) q[2], q[3];\ncrz(0.0027) q[1], q[2];\ncrz(-0.0517) q[0], q[1];\nry(0.1917) q[0];\nry(1.5744) q[1];\nry(0.7089) q[2];\nry(0.0049) q[3];\nry(-0.0022) q[4];\nry(1.4735) q[5];\nry(1.5647) q[6];\nry(1.5731) q[7];\nry(0.0883) q[8];\nry(1.5641) q[9];\nry(1.5787) q[10];\nry(1.5659) q[11];\nry(1.569) q[12];\ncrz(0.0082) q[12], q[11];\ncrz(0.0046) q[0], q[12];\ncrz(0.0027) q[0], q[1];\ncrz(0.0095) q[1], q[2];\ncrz(0.0099) q[2], q[3];\ncrz(0.0063) q[3], q[4];\ncrz(0.0095) q[4], q[5];\ncrz(0.0003) q[5], q[6];\ncrz(0.0093) q[6], q[7];\ncrz(0.0049) q[7], q[8];\ncrz(0.0032) q[8], q[9];\ncrz(0.0045) q[9], q[10];\ncrz(0.0018) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\ncrz(x13) q[12], q[0];\ncrz(x14) q[11], q[12];\ncrz(x15) q[10], q[11];\ncrz(x16) q[9], q[10];\ncrz(x17) q[8], q[9];\ncrz(x18) q[7], q[8];\ncrz(x19) q[6], q[7];\ncrz(x20) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x22) q[3], q[4];\ncrz(x23) q[2], q[3];\ncrz(x24) q[1], q[2];\ncrz(x25) q[0], q[1];\nry(x26) q[0];\nry(x27) q[1];\nry(x28) q[2];\nry(x29) q[3];\nry(x30) q[4];\nry(x31) q[5];\nry(x32) q[6];\nry(x33) q[7];\nry(x34) q[8];\nry(x35) q[9];\nry(x36) q[10];\nry(x37) q[11];\nry(x38) q[12];\ncrz(x39) q[12], q[11];\ncrz(x40) q[0], q[12];\ncrz(x24) q[0], q[1];\ncrz(x41) q[1], q[2];\ncrz(x42) q[2], q[3];\ncrz(x43) q[3], q[4];\ncrz(x41) q[4], q[5];\ncrz(x44) q[5], q[6];\ncrz(x45) q[6], q[7];\ncrz(x29) q[7], q[8];\ncrz(x46) q[8], q[9];\ncrz(x47) q[9], q[10];\ncrz(x48) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"circuits\": [], \"gradients\": []}"]
["adf83a7a772b7f772a66d54f36fd7522","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 4}, {\"capacity\": 1, \"source\": 6, \"target\": 5}, {\"capacity\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [91, 127], \"expectation_value\": -5.964095293682891, \"params\": null, \"bitstrings\": [\"10100100\", \"10000000\"], \"total_optimization_steps\": 98, \"probabilities\": [0.10187664978062215, 0.7323710416641575], \"optimization_time\": 165.951562166214}","-0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(3) + 1.0 * Z(6) + -0.25 * Z(7) + -0.5 * Z(5) + 0.25 * Z(2) + 0.0 * Z(4)",1,8,3,"{\"smallest_eigenvalues\": [-7.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5681) q[6];\ncry(1.5626) q[3], q[1];\nry(1.1295) q[3];\nry(0.5831) q[1];\ncry(1.5122) q[3], q[4];\ncry(1.5593) q[1], q[7];\ncry(-1.4804) q[7], q[0];\ncry(1.4256) q[5], q[2];\ncry(1.1914) q[1], q[5];\ncry(0.6803) q[4], q[2];\ncry(0.2492) q[7], q[3];\ncry(0.3093) q[3], q[5];\ncry(0.11) q[7], q[4];\ncry(0.0627) q[7], q[1];\ncry(0.1544) q[1], q[2];\ncry(0.0391) q[4], q[7];\ncry(-0.031) q[3], q[7];\ncry(-0.0328) q[6], q[4];\ncry(-0.0824) q[1], q[0];\nry(0.0261) q[7];\ncry(-0.0429) q[6], q[2];\ncry(0.0241) q[1], q[3];\ncry(0.0403) q[3], q[2];\nry(-0.0374) q[2];\ncry(-0.0302) q[2], q[5];\ncry(0.048) q[4], q[5];\ncry(-0.0444) q[6], q[5];\ncry(0.035) q[7], q[5];\nry(-0.0344) q[5];\ncry(-0.0112) q[5], q[7];\ncry(-0.1039) q[0], q[4];\ncry(-0.0075) q[6], q[3];\nry(0.0349) q[0];\ncry(-0.039) q[3], q[0];\ncry(-0.0045) q[4], q[1];\ncry(0.0301) q[6], q[0];\ncry(-0.0654) q[0], q[7];\ncry(0.0202) q[7], q[2];\ncry(-0.0715) q[0], q[5];\ncry(0.0091) q[2], q[7];\ncry(-0.0512) q[0], q[2];\ncry(0.0123) q[5], q[4];\nry(-0.0093) q[4];\ncry(0.0087) q[1], q[4];\ncry(-0.0137) q[4], q[0];\ncry(0.0027) q[7], q[6];\ncry(0.0168) q[2], q[0];\ncry(0.006) q[5], q[1];\ncry(0.0065) q[4], q[3];\ncry(-0.0046) q[2], q[3];\ncry(-0.0119) q[5], q[0];\ncry(-0.0011) q[6], q[1];\ncry(0.0033) q[5], q[3];\ncry(-0.0007) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 7}",{"$cut":{"chars":116946,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\ncry(1.5626) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\ncry(1.5626) q[3], q[1];\\nry(1.1295) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\ncry(1.5626) q[3], q[1];\\nry(1.1295) q[3];\\nry(0.5831) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\ncry(1.5626) q[3], q[1];\\nry(1.1295) q[3];\\nry(0.5831) q[1];\\ncry(1.5122) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\ncry(1.5626) q[3], q[1];\\nry(1.1295) q[3];\\nry(0.5831) q[1];\\ncry(1.5122) q[3], q[4];\\ncry(1.5593) q[1], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\ncry(1.5626) q[3], q[1];\\nry(1.1295) q[3];\\nry(0.5831) q[1];\\ncry(1.5122) q[3], q[4];\\ncry(1.5593) q[1], q[7];\\ncry(-1.4804) q[7], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\ncry(1.5626) q[3], q[1];\\nry(1.1295) q[3];\\nry(0.5831) q[1];\\ncry(1.5122) q[3], q[4];\\ncry(1.5593) q[1], q[7];\\ncry(-1.4804) q[7], q[0];\\ncry(1.4256) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\ncry(1.5626) q[3], q[1];\\nry(1.1295) q[3];\\nry(0.5831) q[1];\\ncry(1.5122) q[3], q[4];\\ncry(1.5593) q[1], q[7];\\ncry(-1.4804) q[7], q[0];\\ncry(1.4256) q[5], q[2];\\ncry(1.1914) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5681) q[6];\\ncry(1.5626) q[3], q[1];\\nry(1.1295) q[3];\\nry(0.5831) q[1];\\ncry(1.5122) q[3], q[4];\\ncry"}}]
["8198021928293f705270038472b9e016","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 7, \"source\": 0, \"target\": 3}, {\"capacity\": 7, \"source\": 0, \"target\": 6}, {\"capacity\": 4, \"source\": 0, \"target\": 8}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 8}, {\"capacity\": 5, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 4, \"target\": 7}, {\"capacity\": 6, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 7, \"source\": 6, \"target\": 7}, {\"capacity\": 1, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 3}]}","{\"states\": [0, 1], \"expectation_value\": -23.120650254618745, \"params\": [0.0032, 0.0006000000000000001, 0.0025, 0.0012000000000000001, 0.0026000000000000003, 0.0098, 0.0026000000000000003, 0.0086, 0.0022, 0.0027, 0.0027, 0.004, 0.0023, 0.0034000000000000002, 0.0024000000000000002, 0.0064, 1.6061, 0.0043, 0.0061, 0.0007, 0.0082, 0.006500000000000001, 0.0073, 0.0054, 0.0011, 0.004], \"bitstrings\": [\"111111111\", \"111111110\"], \"total_optimization_steps\": 160, \"probabilities\": [0.4823370245198661, 0.5176495879438614], \"optimization_time\": 11.407451629638672}","-1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 0.25 * Z(3) + -1.0 * Z(6) + 5.25 * Z(8) + 0.0 * Z(4) + -0.5 * Z(5) + -2.25 * Z(7)",3,9,1,"{\"smallest_eigenvalues\": [-33.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -28.25, \"smallest_bitstrings\": [\"111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0032) q[0];\nrz(0.0006) q[0];\nrx(0.0025) q[1];\nrz(0.0012) q[1];\nrx(0.0026) q[2];\nrz(0.0098) q[2];\nrx(0.0026) q[3];\nrz(0.0086) q[3];\nrx(0.0022) q[4];\nrz(0.0027) q[4];\nrx(0.0027) q[5];\nrz(0.004) q[5];\nrx(0.0023) q[6];\nrz(0.0034) q[6];\nrx(0.0024) q[7];\nrz(0.0064) q[7];\nrx(1.6061) q[8];\nrz(0.0043) q[8];\ncrz(0.004) q[8], q[7];\ncrz(0.0011) q[7], q[6];\ncrz(0.0054) q[6], q[5];\ncrz(0.0073) q[5], q[4];\ncrz(0.0065) q[4], q[3];\ncrz(0.0082) q[3], q[2];\ncrz(0.0007) q[2], q[1];\ncrz(0.0061) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x4) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x8) q[5];\nrz(x9) q[5];\nrx(x10) q[6];\nrz(x11) q[6];\nrx(x12) q[7];\nrz(x13) q[7];\nrx(x14) q[8];\nrz(x15) q[8];\ncrz(x9) q[8], q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[6], q[5];\ncrz(x18) q[5], q[4];\ncrz(x19) q[4], q[3];\ncrz(x20) q[3], q[2];\ncrz(x21) q[2], q[1];\ncrz(x22) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["8695571099168270225","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[2, 3, 5, 6, 7, 8], [2, 10], [8, 11], [8, 10], [0, 1, 6, 7, 10, 11], [1, 3], [0, 1, 5, 9, 11], [9, 4]]}","{\"states\": [2423, 375], \"expectation_value\": -2.87995521523955, \"params\": null, \"bitstrings\": [\"011010001000\", \"111010001000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.35404957626134054, 0.4112898669385844], \"optimization_time\": 2032.4997124671936}","0.03333333333333333 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(7) @ Z(3)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.03333333333333333 * (Z(7) @ Z(5)) + 0.06666666666666667 * (Z(7) @ Z(6)) + 0.03333333333333333 * (Z(8) @ Z(3)) + 0.03333333333333333 * (Z(8) @ Z(2)) + 0.03333333333333333 * (Z(8) @ Z(5)) + 0.03333333333333333 * (Z(8) @ Z(6)) + 0.03333333333333333 * (Z(8) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.03333333333333333 * (Z(10) @ Z(6)) + 0.03333333333333333 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + 0.05 * (Z(11) @ Z(5)) + 0.03333333333333333 * (Z(11) @ Z(6)) + 0.03333333333333333 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(8)) + 0.03333333333333333 * (Z(11) @ Z(10)) + 0.05 * (Z(0) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(6)) + 0.03333333333333333 * (Z(0) @ Z(7)) + 0.03333333333333333 * (Z(0) @ Z(10)) + 0.08333333333333334 * (Z(0) @ Z(11)) + 0.5 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(5)) + 0.03333333333333333 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(1) @ Z(7)) + 0.03333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333334 * (Z(1) @ Z(11)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.05 * (Z(9) @ Z(5)) + 0.05 * (Z(9) @ Z(11)) + 0.05 * (Z(9) @ Z(0)) + 0.05 * (Z(9) @ Z(1)) + 0.5 * (Z(4) @ Z(9)) + 0.08333333333333326 * Z(3) + 0.08333333333333326 * Z(2) + 0.1833333333333333 * Z(5) + 0.16666666666666666 * Z(6) + 0.16666666666666666 * Z(7) + 0.08333333333333304 * Z(8) + 0.0833333333333337 * Z(10) + 0.18333333333333346 * Z(11) + 0.1833333333333333 * Z(0) + 0.18333333333333346 * Z(1) + 0.09999999999999998 * Z(9) + 0.0 * Z(4)",1,12,1,"{\"smallest_eigenvalues\": [-3.0999999999999996], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0999999999999988, \"smallest_bitstrings\": [\"111010001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-1.0342) q[9], q[4];\nry(0.8763) q[9];\nry(-0.595) q[4];\ncry(-0.9078) q[11], q[8];\nry(0.9361) q[11];\ncry(-0.8331) q[10], q[8];\ncry(1.1864) q[11], q[10];\ncry(-1.2356) q[10], q[2];\nry(-0.348) q[8];\nry(0.2754) q[10];\ncry(0.4623) q[10], q[11];\ncry(-0.9564) q[3], q[1];\nry(0.9208) q[3];\nry(-0.6215) q[1];\ncry(0.4481) q[11], q[3];\ncry(0.4668) q[3], q[9];\nry(0.7475) q[5];\ncry(-0.3492) q[11], q[1];\ncry(-0.3182) q[3], q[4];\ncry(-0.1804) q[3], q[8];\nry(0.6713) q[7];\ncry(-0.2899) q[11], q[2];\ncry(0.4257) q[3], q[7];\ncry(0.3864) q[3], q[5];\ncry(0.17) q[7], q[9];\nry(0.3965) q[6];\ncry(0.1497) q[9], q[3];\ncry(0.3172) q[9], q[6];\ncry(-0.1075) q[7], q[4];\ncry(0.2518) q[3], q[6];\ncry(-0.0939) q[9], q[1];\ncry(0.1883) q[10], q[5];\ncry(0.1956) q[5], q[6];\ncry(0.1525) q[5], q[7];\ncry(-0.1483) q[8], q[11];\ncry(0.0599) q[5], q[9];\ncry(0.1298) q[7], q[6];\ncry(0.1136) q[6], q[5];\ncry(0.1312) q[2], q[8];\ncry(0.1267) q[8], q[2];\ncry(0.1034) q[9], q[7];\ncry(-0.0375) q[6], q[4];\ncry(0.0473) q[6], q[3];\ncry(0.091) q[11], q[6];\ncry(-0.0872) q[2], q[10];\ncry(-0.0234) q[7], q[1];\ncry(0.0694) q[7], q[5];\ncry(0.0731) q[6], q[7];\ncry(0.0654) q[10], q[6];\ncry(0.0722) q[8], q[0];\ncry(-0.0605) q[8], q[10];\ncry(0.0233) q[3], q[10];\ncry(0.0319) q[3], q[11];\ncry(-0.0635) q[11], q[0];\ncry(-0.0596) q[10], q[0];\ncry(0.0538) q[11], q[7];\ncry(0.0488) q[3], q[0];\ncry(0.0396) q[9], q[5];\ncry(0.0467) q[2], q[0];\ncry(-0.0255) q[0], q[11];\ncry(0.0383) q[10], q[7];\ncry(0.0387) q[1], q[9];\ncry(-0.0374) q[1], q[0];\ncry(0.0223) q[0], q[8];\ncry(-0.0032) q[6], q[10];\ncry(0.0319) q[8], q[3];\ncry(0.0167) q[6], q[9];\ncry(-0.0112) q[5], q[4];\ncry(0.0322) q[4], q[0];\ncry(0.0238) q[11], q[5];\ncry(-0.0232) q[1], q[8];\ncry(-0.0063) q[0], q[10];\ncry(-0.0028) q[5], q[1];\ncry(0.0223) q[4], q[3];\ncry(-0.0207) q[2], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,null,{"$cut":{"chars":157600,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-1.0342) q[9], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-1.0342) q[9], q[4];\\nry(0.8763) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-1.0342) q[9], q[4];\\nry(0.8763) q[9];\\nry(-0.595) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-1.0342) q[9], q[4];\\nry(0.8763) q[9];\\nry(-0.595) q[4];\\ncry(-0.9078) q[11], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-1.0342) q[9], q[4];\\nry(0.8763) q[9];\\nry(-0.595) q[4];\\ncry(-0.9078) q[11], q[8];\\nry(0.9361) q[11];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-1.0342) q[9], q[4];\\nry(0.8763) q[9];\\nry(-0.595) q[4];\\ncry(-0.9078) q[11], q[8];\\nry(0.9361) q[11];\\ncry(-0.8331) q[10], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-1.0342) q[9], q[4];\\nry(0.8763) q[9];\\nry(-0.595) q[4];\\ncry(-0.9078) q[11], q[8];\\nry(0.9361) q[11];\\ncry(-0.8331) q[10], q[8];\\ncry(1.1864) q[11], q[10];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-1.0342) q[9], q[4];\\nry(0.8763) q[9];\\nry(-0.595) q[4];\\ncry(-0.9078) q[11], q[8];\\nry(0.9361) q[11];\\ncry(-0.8331) q[10],"}}]
["cf63e2458a0741acd2ef8c128602eb3a","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [3, 67], \"expectation_value\": -3.6360564777166546, \"params\": [[[1.6616000000000002, 0.0097], [-0.0034000000000000002, 0.0078000000000000005], [0.00030000000000000003, 0.007500000000000001], [1.4736, 0.0027], [-0.0044, 0.0043], [1.7045000000000001, 0.004], [1.7012, 0.0098]]], \"bitstrings\": [\"1111100\", \"0111100\"], \"total_optimization_steps\": 170, \"probabilities\": [0.07984662665548278, 0.09577454284243912], \"optimization_time\": 2.1705482006073}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(6) + 0.0 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1110100\", \"1100110\", \"0111100\", \"0111001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(1.6616) q[0];\nrz(0.0097) q[0];\nrx(-0.0034) q[1];\nrz(0.0078) q[1];\nrx(0.0003) q[2];\nrz(0.0075) q[2];\nrx(1.4736) q[3];\nrz(0.0027) q[3];\nrx(-0.0044) q[4];\nrz(0.0043) q[4];\nrx(1.7045) q[5];\nrz(0.004) q[5];\nrx(1.7012) q[6];\nrz(0.0098) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["eb7718afe0f5fa75c040f15c7d7615e7","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 11}, {\"source\": 10, \"target\": 11}]}","{\"states\": [2032, 2047], \"expectation_value\": -3.5857472016821426, \"params\": [[0.0702], [-0.054700000000000006]], \"bitstrings\": [\"00000001111\", \"00000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0009530657435300835, 0.0010071434533397423], \"optimization_time\": 1.0331175327301025}","-3.0 * (Z(0) @ Z(1)) + 2.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + -3.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -4.0 * (Z(2) @ Z(5)) + -4.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -4.0 * (Z(3) @ Z(5)) + -3.0 * (Z(3) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + 1.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(9) @ Z(10)) + -2.5 * Z(1) + 1.5 * Z(0) + -3.5 * Z(5) + 1.5 * Z(2) + 1.5 * Z(3) + 1.0 * Z(6) + 1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9)",1,11,1,"{\"smallest_eigenvalues\": [-42.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -41.5, \"smallest_bitstrings\": [\"00000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(-0.4212) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(0.2808) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.5616) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(-0.4914) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1404) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(-0.5616) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(-0.5616) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.1404) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(-0.5616) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(-0.4212) q[3];\ncx q[2], q[3];\ncx q[1], q[6];\nrz(0.1404) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0702) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(-0.4914) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(-0.4212) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.4212) q[6];\ncx q[3], q[6];\ncx q[1], q[4];\nrz(0.0702) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0702) q[4];\ncx q[0], q[4];\ncx q[5], q[4];\nrz(-0.4914) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(0.2106) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.4212) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.351) q[4];\ncx q[6], q[4];\ncx q[8], q[7];\nrz(-0.2106) q[7];\ncx q[8], q[7];\ncx q[8], q[10];\nrz(0.0702) q[10];\ncx q[8], q[10];\ncx q[7], q[10];\nrz(-0.2808) q[10];\ncx q[7], q[10];\ncx q[7], q[9];\nrz(0.0702) q[9];\ncx q[7], q[9];\ncx q[10], q[9];\nrz(-0.2106) q[9];\ncx q[10], q[9];\nrz(-0.351) q[1];\nrz(0.2106) q[0];\nrz(-0.4914) q[5];\nrz(0.2106) q[2];\nrz(0.2106) q[3];\nrz(0.1404) q[6];\nrz(0.1404) q[4];\nrz(0.0702) q[8];\nrz(0.0702) q[7];\nrz(0.0702) q[10];\nrz(0.0702) q[9];\nh q[0];\nrz(-0.1094) q[0];\nh q[0];\nh q[1];\nrz(-0.1094) q[1];\nh q[1];\nh q[2];\nrz(-0.1094) q[2];\nh q[2];\nh q[3];\nrz(-0.1094) q[3];\nh q[3];\nh q[4];\nrz(-0.1094) q[4];\nh q[4];\nh q[5];\nrz(-0.1094) q[5];\nh q[5];\nh q[6];\nrz(-0.1094) q[6];\nh q[6];\nh q[7];\nrz(-0.1094) q[7];\nh q[7];\nh q[8];\nrz(-0.1094) q[8];\nh q[8];\nh q[9];\nrz(-0.1094) q[9];\nh q[9];\nh q[10];\nrz(-0.1094) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(x2) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x4) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[6];\nrz(x4) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x5) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[1], q[4];\nrz(x5) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x5) q[4];\ncx q[0], q[4];\ncx q[5], q[4];\nrz(x3) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(x6) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x7) q[4];\ncx q[6], q[4];\ncx q[8], q[7];\nrz(x8) q[7];\ncx q[8], q[7];\ncx q[8], q[10];\nrz(x5) q[10];\ncx q[8], q[10];\ncx q[7], q[10];\nrz(x9) q[10];\ncx q[7], q[10];\ncx q[7], q[9];\nrz(x5) q[9];\ncx q[7], q[9];\ncx q[10], q[9];\nrz(x8) q[9];\ncx q[10], q[9];\nrz(x7) q[1];\nrz(x6) q[0];\nrz(x3) q[5];\nrz(x6) q[2];\nrz(x6) q[3];\nrz(x4) q[6];\nrz(x4) q[4];\nrz(x5) q[8];\nrz(x5) q[7];\nrz(x5) q[10];\nrz(x5) q[9];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\nh q[9];\nrz(x10) q[9];\nh q[9];\nh q[10];\nrz(x10) q[10];\nh q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["e40237e4ee23250d71cb8e35cdfa1e09","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 7}, {\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 8}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [180, 52], \"expectation_value\": -6.815419004501633, \"params\": [-0.0032, -0.006, 0.3573, 0.3513, -0.0033, -0.0041, 0.5031, 0.504, 0.439, 0.4305, -0.0045000000000000005, -0.0009000000000000001, 0.5026, 0.49670000000000003, 0.29000000000000004, 0.2902, -0.0012000000000000001, -0.0006000000000000001, -0.0017000000000000001, -0.006500000000000001, 0.3578, 0.35600000000000004, -0.0083, -0.0091, 0.5034000000000001, 0.5092, 0.4324, 0.4323, -0.0022, -0.0008, 0.4999, 0.49870000000000003, 0.28950000000000004, 0.28600000000000003, -0.006, -0.0017000000000000001, 0.3017, 0.1227, 0.4238, 0.2973, 0.029400000000000003, 0.42700000000000005, 0.342, -0.0039000000000000003, -0.12510000000000002, 0.1827, -0.028300000000000002, 0.0499, 0.4419, -0.0028, -0.3501, 0.41250000000000003, 0.045700000000000005, -0.32320000000000004, -0.0466, 0.23170000000000002, 0.4208, -0.1976, -0.0332, 0.29510000000000003, -0.2489, 0.025900000000000003, 0.1467, -0.3236, 0.0022, 0.4166, 0.30110000000000003, -0.0049, 0.1015, 0.44170000000000004, -0.0201, 0.3295], \"bitstrings\": [\"101001011\", \"111001011\"], \"total_optimization_steps\": 50, \"probabilities\": [0.08745320915697655, 0.11784332083015092], \"optimization_time\": 10.262511014938354}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -2.5 * Z(2) + -2.5 * Z(0) + -1.0 * Z(4) + -2.0 * Z(5) + -1.0 * Z(6) + -1.5 * Z(7) + -2.5 * Z(8) + -1.0 * Z(1) + -0.5 * Z(3)",14,9,2,"{\"smallest_eigenvalues\": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], \"number_of_smallest_eigenvalues\": 9, \"first_excited_energy\": -7.0, \"smallest_bitstrings\": [\"101110011\", \"111001101\", \"101011101\", \"101011011\", \"001011111\", \"111011010\", \"111100011\", \"111001011\", \"110101101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(-0.0032) q[0];\nry(0.3573) q[1];\nry(-0.0033) q[2];\nry(0.5031) q[3];\nry(0.439) q[4];\nry(-0.0045) q[5];\nry(0.5026) q[6];\nry(0.29) q[7];\nry(-0.0012) q[8];\ncrx(0.3017) q[8], q[0];\ncrx(0.0457) q[7], q[8];\ncrx(-0.3501) q[6], q[7];\ncrx(0.4419) q[5], q[6];\ncrx(-0.0283) q[4], q[5];\ncrx(-0.1251) q[3], q[4];\ncrx(0.342) q[2], q[3];\ncrx(0.0294) q[1], q[2];\ncrx(0.4238) q[0], q[1];\nry(-0.006) q[0];\nry(0.3513) q[1];\nry(-0.0041) q[2];\nry(0.504) q[3];\nry(0.4305) q[4];\nry(-0.0009) q[5];\nry(0.4967) q[6];\nry(0.2902) q[7];\nry(-0.0006) q[8];\ncrx(0.1227) q[8], q[7];\ncrx(0.2973) q[0], q[8];\ncrx(0.427) q[0], q[1];\ncrx(-0.0039) q[1], q[2];\ncrx(0.1827) q[2], q[3];\ncrx(0.0499) q[3], q[4];\ncrx(-0.0028) q[4], q[5];\ncrx(0.4125) q[5], q[6];\ncrx(-0.3232) q[6], q[7];\nry(-0.0017) q[0];\nry(0.3578) q[1];\nry(-0.0083) q[2];\nry(0.5034) q[3];\nry(0.4324) q[4];\nry(-0.0022) q[5];\nry(0.4999) q[6];\nry(0.2895) q[7];\nry(-0.006) q[8];\ncrx(-0.0466) q[8], q[0];\ncrx(-0.0201) q[7], q[8];\ncrx(0.1015) q[6], q[7];\ncrx(0.3011) q[5], q[6];\ncrx(0.0022) q[4], q[5];\ncrx(0.1467) q[3], q[4];\ncrx(-0.2489) q[2], q[3];\ncrx(-0.0332) q[1], q[2];\ncrx(0.4208) q[0], q[1];\nry(-0.0065) q[0];\nry(0.356) q[1];\nry(-0.0091) q[2];\nry(0.5092) q[3];\nry(0.4323) q[4];\nry(-0.0008) q[5];\nry(0.4987) q[6];\nry(0.286) q[7];\nry(-0.0017) q[8];\ncrx(0.2317) q[8], q[7];\ncrx(-0.1976) q[0], q[8];\ncrx(0.2951) q[0], q[1];\ncrx(0.0259) q[1], q[2];\ncrx(-0.3236) q[2], q[3];\ncrx(0.4166) q[3], q[4];\ncrx(-0.0049) q[4], q[5];\ncrx(0.4417) q[5], q[6];\ncrx(0.3295) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x31) q[2], q[3];\ncrx(x32) q[3], q[4];\ncrx(x33) q[4], q[5];\ncrx(x34) q[5], q[6];\ncrx(x35) q[6], q[7];\nry(x36) q[0];\nry(x37) q[1];\nry(x38) q[2];\nry(x39) q[3];\nry(x40) q[4];\nry(x41) q[5];\nry(x42) q[6];\nry(x43) q[7];\nry(x18) q[8];\ncrx(x44) q[8], q[0];\ncrx(x45) q[7], q[8];\ncrx(x46) q[6], q[7];\ncrx(x47) q[5], q[6];\ncrx(x48) q[4], q[5];\ncrx(x49) q[3], q[4];\ncrx(x50) q[2], q[3];\ncrx(x51) q[1], q[2];\ncrx(x52) q[0], q[1];\nry(x53) q[0];\nry(x54) q[1];\nry(x55) q[2];\nry(x56) q[3];\nry(x57) q[4];\nry(x58) q[5];\nry(x59) q[6];\nry(x60) q[7];\nry(x36) q[8];\ncrx(x61) q[8], q[7];\ncrx(x62) q[0], q[8];\ncrx(x63) q[0], q[1];\ncrx(x64) q[1], q[2];\ncrx(x65) q[2], q[3];\ncrx(x66) q[3], q[4];\ncrx(x67) q[4], q[5];\ncrx(x68) q[5], q[6];\ncrx(x69) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["5075248485302863611","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[4, 6, 8, 9, 10], [0, 2, 4, 6, 7, 9, 10], [0, 1, 7, 8, 9], [0, 1, 2, 5, 6, 7], [0, 1, 2, 3, 4, 6, 7, 8, 10], [1, 10, 2, 9], [8, 3, 4, 5]]}","{\"states\": [1503, 479], \"expectation_value\": -1.4027553816853788, \"params\": [1.6392, -0.19290000000000002, 0.9378000000000001, 0.0007, 0.9071, -0.5720000000000001, 0.7656000000000001, 0.0083, 2.1288, -0.0558, 0.9798, 0.0063, 2.0860000000000003, 0.0799, 0.9664, 0.001, 2.1014, -0.1373, 1.0423, 0.0098, 0.3111, 0.8834000000000001, 0.30010000000000003, 0.0063, 2.1243000000000003, -0.1046, 0.9736, 0.0006000000000000001, 2.0941, -0.0369, 0.9426, 0.0094, 2.0193000000000003, 0.1333, 0.9996, 0.0091, 2.1063, -0.1302, 1.0043, 0.006, 1.8855000000000002, -0.11910000000000001, 0.7903, 0.007200000000000001, -0.2939, -0.33840000000000003, 0.0131, -0.016900000000000002, 0.0274, 0.32370000000000004, 0.016900000000000002, 0.0031000000000000003, -0.0286, 0.025500000000000002, 0.017400000000000002], \"bitstrings\": [\"01000100000\", \"11000100000\"], \"total_optimization_steps\": 220, \"probabilities\": [0.2859064750256214, 0.5801036879984833], \"optimization_time\": 42.60666275024414}","0.08769841269841269 * (Z(5) @ Z(7)) + 0.06388888888888888 * (Z(9) @ Z(7)) + 0.1472222222222222 * (Z(9) @ Z(5)) + 0.07380952380952381 * (Z(10) @ Z(7)) + 0.07380952380952381 * (Z(10) @ Z(5)) + 0.1 * (Z(10) @ Z(9)) + 0.08769841269841269 * (Z(2) @ Z(7)) + 0.08769841269841269 * (Z(2) @ Z(5)) + 0.06388888888888888 * (Z(2) @ Z(9)) + 0.15714285714285714 * (Z(2) @ Z(10)) + 0.07103174603174603 * (Z(0) @ Z(7)) + 0.037698412698412696 * (Z(0) @ Z(5)) + 0.06388888888888888 * (Z(0) @ Z(9)) + 0.07380952380952381 * (Z(0) @ Z(10)) + 0.037698412698412696 * (Z(0) @ Z(2)) + 0.07103174603174603 * (Z(3) @ Z(7)) + 0.037698412698412696 * (Z(3) @ Z(5)) + 0.013888888888888888 * (Z(3) @ Z(9)) + 0.10714285714285714 * (Z(3) @ Z(10)) + 0.12103174603174602 * (Z(3) @ Z(2)) + 0.07103174603174603 * (Z(3) @ Z(0)) + 0.07103174603174603 * (Z(8) @ Z(7)) + 0.037698412698412696 * (Z(8) @ Z(5)) + 0.06388888888888888 * (Z(8) @ Z(9)) + 0.07380952380952381 * (Z(8) @ Z(10)) + 0.037698412698412696 * (Z(8) @ Z(2)) + 0.12103174603174605 * (Z(8) @ Z(0)) + 0.07103174603174603 * (Z(8) @ Z(3)) + 0.04722222222222222 * (Z(1) @ Z(7)) + 0.013888888888888888 * (Z(1) @ Z(5)) + 0.06388888888888888 * (Z(1) @ Z(9)) + 0.13333333333333333 * (Z(1) @ Z(10)) + 0.09722222222222221 * (Z(1) @ Z(2)) + 0.09722222222222224 * (Z(1) @ Z(0)) + 0.13055555555555554 * (Z(1) @ Z(3)) + 0.09722222222222224 * (Z(1) @ Z(8)) + 0.03333333333333333 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(9)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(8)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.013888888888888888 * (Z(4) @ Z(7)) + 0.09722222222222221 * (Z(4) @ Z(5)) + 0.09722222222222221 * (Z(4) @ Z(9)) + 0.013888888888888888 * (Z(4) @ Z(2)) + 0.013888888888888888 * (Z(4) @ Z(0)) + 0.013888888888888888 * (Z(4) @ Z(3)) + 0.013888888888888888 * (Z(4) @ Z(8)) + 0.013888888888888888 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.3103174603174602 * Z(7) + 0.35198412698412684 * Z(5) + 0.38055555555555554 * Z(9) + 0.39642857142857135 * Z(10) + 0.35198412698412684 * Z(2) + 0.3103174603174602 * Z(0) + 0.3353174603174601 * Z(3) + 0.3103174603174602 * Z(8) + 0.3638888888888887 * Z(1) + 0.20833333333333331 * Z(6) + 0.18055555555555555 * Z(4)",5,11,1,"{\"smallest_eigenvalues\": [-1.457142857142857], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.4571428571428569, \"smallest_bitstrings\": [\"11000100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(1.6392) q[0];\nrz(-0.1929) q[0];\nrx(0.9071) q[1];\nrz(-0.572) q[1];\nrx(2.1288) q[2];\nrz(-0.0558) q[2];\nrx(2.086) q[3];\nrz(0.0799) q[3];\nrx(2.1014) q[4];\nrz(-0.1373) q[4];\nrx(0.3111) q[5];\nrz(0.8834) q[5];\nrx(2.1243) q[6];\nrz(-0.1046) q[6];\nrx(2.0941) q[7];\nrz(-0.0369) q[7];\nrx(2.0193) q[8];\nrz(0.1333) q[8];\nrx(2.1063) q[9];\nrz(-0.1302) q[9];\nrx(1.8855) q[10];\nrz(-0.1191) q[10];\ncrz(0.0255) q[10], q[9];\ncrz(-0.0286) q[10], q[8];\ncrz(0.0031) q[10], q[7];\ncrz(0.0169) q[10], q[6];\ncrz(0.3237) q[10], q[5];\ncrz(0.0274) q[10], q[4];\ncrz(-0.0169) q[10], q[3];\ncrz(0.0131) q[10], q[2];\ncrz(-0.3384) q[10], q[1];\ncrz(-0.2939) q[10], q[0];\ncrz(0.0174) q[9], q[10];\ncrz(-0.0286) q[9], q[8];\ncrz(0.0031) q[9], q[7];\ncrz(0.0169) q[9], q[6];\ncrz(0.3237) q[9], q[5];\ncrz(0.0274) q[9], q[4];\ncrz(-0.0169) q[9], q[3];\ncrz(0.0131) q[9], q[2];\ncrz(-0.3384) q[9], q[1];\ncrz(-0.2939) q[9], q[0];\ncrz(0.0174) q[8], q[10];\ncrz(0.0255) q[8], q[9];\ncrz(0.0031) q[8], q[7];\ncrz(0.0169) q[8], q[6];\ncrz(0.3237) q[8], q[5];\ncrz(0.0274) q[8], q[4];\ncrz(-0.0169) q[8], q[3];\ncrz(0.0131) q[8], q[2];\ncrz(-0.3384) q[8], q[1];\ncrz(-0.2939) q[8], q[0];\ncrz(0.0174) q[7], q[10];\ncrz(0.0255) q[7], q[9];\ncrz(-0.0286) q[7], q[8];\ncrz(0.0169) q[7], q[6];\ncrz(0.3237) q[7], q[5];\ncrz(0.0274) q[7], q[4];\ncrz(-0.0169) q[7], q[3];\ncrz(0.0131) q[7], q[2];\ncrz(-0.3384) q[7], q[1];\ncrz(-0.2939) q[7], q[0];\ncrz(0.0174) q[6], q[10];\ncrz(0.0255) q[6], q[9];\ncrz(-0.0286) q[6], q[8];\ncrz(0.0031) q[6], q[7];\ncrz(0.3237) q[6], q[5];\ncrz(0.0274) q[6], q[4];\ncrz(-0.0169) q[6], q[3];\ncrz(0.0131) q[6], q[2];\ncrz(-0.3384) q[6], q[1];\ncrz(-0.2939) q[6], q[0];\ncrz(0.0174) q[5], q[10];\ncrz(0.0255) q[5], q[9];\ncrz(-0.0286) q[5], q[8];\ncrz(0.0031) q[5], q[7];\ncrz(0.0169) q[5], q[6];\ncrz(0.0274) q[5], q[4];\ncrz(-0.0169) q[5], q[3];\ncrz(0.0131) q[5], q[2];\ncrz(-0.3384) q[5], q[1];\ncrz(-0.2939) q[5], q[0];\ncrz(0.0174) q[4], q[10];\ncrz(0.0255) q[4], q[9];\ncrz(-0.0286) q[4], q[8];\ncrz(0.0031) q[4], q[7];\ncrz(0.0169) q[4], q[6];\ncrz(0.3237) q[4], q[5];\ncrz(-0.0169) q[4], q[3];\ncrz(0.0131) q[4], q[2];\ncrz(-0.3384) q[4], q[1];\ncrz(-0.2939) q[4], q[0];\ncrz(0.0174) q[3], q[10];\ncrz(0.0255) q[3], q[9];\ncrz(-0.0286) q[3], q[8];\ncrz(0.0031) q[3], q[7];\ncrz(0.0169) q[3], q[6];\ncrz(0.3237) q[3], q[5];\ncrz(0.0274) q[3], q[4];\ncrz(0.0131) q[3], q[2];\ncrz(-0.3384) q[3], q[1];\ncrz(-0.2939) q[3], q[0];\ncrz(0.0174) q[2], q[10];\ncrz(0.0255) q[2], q[9];\ncrz(-0.0286) q[2], q[8];\ncrz(0.0031) q[2], q[7];\ncrz(0.0169) q[2], q[6];\ncrz(0.3237) q[2], q[5];\ncrz(0.0274) q[2], q[4];\ncrz(-0.0169) q[2], q[3];\ncrz(-0.3384) q[2], q[1];\ncrz(-0.2939) q[2], q[0];\ncrz(0.0174) q[1], q[10];\ncrz(0.0255) q[1], q[9];\ncrz(-0.0286) q[1], q[8];\ncrz(0.0031) q[1], q[7];\ncrz(0.0169) q[1], q[6];\ncrz(0.3237) q[1], q[5];\ncrz(0.0274) q[1], q[4];\ncrz(-0.0169) q[1], q[3];\ncrz(0.0131) q[1], q[2];\ncrz(-0.2939) q[1], q[0];\ncrz(0.0174) q[0], q[10];\ncrz(0.0255) q[0], q[9];\ncrz(-0.0286) q[0], q[8];\ncrz(0.0031) q[0], q[7];\ncrz(0.0169) q[0], q[6];\ncrz(0.3237) q[0], q[5];\ncrz(0.0274) q[0], q[4];\ncrz(-0.0169) q[0], q[3];\ncrz(0.0131) q[0], q[2];\ncrz(-0.3384) q[0], q[1];\nrx(0.9378) q[0];\nrz(0.0007) q[0];\nrx(0.7656) q[1];\nrz(0.0083) q[1];\nrx(0.9798) q[2];\nrz(0.0063) q[2];\nrx(0.9664) q[3];\nrz(0.001) q[3];\nrx(1.0423) q[4];\nrz(0.0098) q[4];\nrx(0.3001) q[5];\nrz(0.0063) q[5];\nrx(0.9736) q[6];\nrz(0.0006) q[6];\nrx(0.9426) q[7];\nrz(0.0094) q[7];\nrx(0.9996) q[8];\nrz(0.0091) q[8];\nrx(1.0043) q[9];\nrz(0.006) q[9];\nrx(0.7903) q[10];\nrz(0.0072) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrz(x22) q[10], q[9];\ncrz(x23) q[10], q[8];\ncrz(x24) q[10], q[7];\ncrz(x25) q[10], q[6];\ncrz(x26) q[10], q[5];\ncrz(x27) q[10], q[4];\ncrz(x28) q[10], q[3];\ncrz(x29) q[10], q[2];\ncrz(x30) q[10], q[1];\ncrz(x31) q[10], q[0];\ncrz(x32) q[9], q[10];\ncrz(x23) q[9], q[8];\ncrz(x24) q[9], q[7];\ncrz(x25) q[9], q[6];\ncrz(x26) q[9], q[5];\ncrz(x27) q[9], q[4];\ncrz(x28) q[9], q[3];\ncrz(x29) q[9], q[2];\ncrz(x30) q[9], q[1];\ncrz(x31) q[9], q[0];\ncrz(x32) q[8], q[10];\ncrz(x22) q[8], q[9];\ncrz(x24) q[8], q[7];\ncrz(x25) q[8], q[6];\ncrz(x26) q[8], q[5];\ncrz(x27) q[8], q[4];\ncrz(x28) q[8], q[3];\ncrz(x29) q[8], q[2];\ncrz(x30) q[8], q[1];\ncrz(x31) q[8], q[0];\ncrz(x32) q[7], q[10];\ncrz(x22) q[7], q[9];\ncrz(x23) q[7], q[8];\ncrz(x25) q[7], q[6];\ncrz(x26) q[7], q[5];\ncrz(x27) q[7], q[4];\ncrz(x28) q[7], q[3];\ncrz(x29) q[7], q[2];\ncrz(x30) q[7], q[1];\ncrz(x31) q[7], q[0];\ncrz(x32) q[6], q[10];\ncrz(x22) q[6], q[9];\ncrz(x23) q[6], q[8];\ncrz(x24) q[6], q[7];\ncrz(x26) q[6], q[5];\ncrz(x27) q[6], q[4];\ncrz(x28) q[6], q[3];\ncrz(x29) q[6], q[2];\ncrz(x30) q[6], q[1];\ncrz(x31) q[6], q[0];\ncrz(x32) q[5], q[10];\ncrz(x22) q[5], q[9];\ncrz(x23) q[5], q[8];\ncrz(x24) q[5], q[7];\ncrz(x25) q[5], q[6];\ncrz(x27) q[5], q[4];\ncrz(x28) q[5], q[3];\ncrz(x29) q[5], q[2];\ncrz(x30) q[5], q[1];\ncrz(x31) q[5], q[0];\ncrz(x32) q[4], q[10];\ncrz(x22) q[4], q[9];\ncrz(x23) q[4], q[8];\ncrz(x24) q[4], q[7];\ncrz(x25) q[4], q[6];\ncrz(x26) q[4], q[5];\ncrz(x28) q[4], q[3];\ncrz(x29) q[4], q[2];\ncrz(x30) q[4], q[1];\ncrz(x31) q[4], q[0];\ncrz(x32) q[3], q[10];\ncrz(x22) q[3], q[9];\ncrz(x23) q[3], q[8];\ncrz(x24) q[3], q[7];\ncrz(x25) q[3], q[6];\ncrz(x26) q[3], q[5];\ncrz(x27) q[3], q[4];\ncrz(x29) q[3], q[2];\ncrz(x30) q[3], q[1];\ncrz(x31) q[3], q[0];\ncrz(x32) q[2], q[10];\ncrz(x22) q[2], q[9];\ncrz(x23) q[2], q[8];\ncrz(x24) q[2], q[7];\ncrz(x25) q[2], q[6];\ncrz(x26) q[2], q[5];\ncrz(x27) q[2], q[4];\ncrz(x28) q[2], q[3];\ncrz(x30) q[2], q[1];\ncrz(x31) q[2], q[0];\ncrz(x32) q[1], q[10];\ncrz(x22) q[1], q[9];\ncrz(x23) q[1], q[8];\ncrz(x24) q[1], q[7];\ncrz(x25) q[1], q[6];\ncrz(x26) q[1], q[5];\ncrz(x27) q[1], q[4];\ncrz(x28) q[1], q[3];\ncrz(x29) q[1], q[2];\ncrz(x31) q[1], q[0];\ncrz(x32) q[0], q[10];\ncrz(x22) q[0], q[9];\ncrz(x23) q[0], q[8];\ncrz(x24) q[0], q[7];\ncrz(x25) q[0], q[6];\ncrz(x26) q[0], q[5];\ncrz(x27) q[0], q[4];\ncrz(x28) q[0], q[3];\ncrz(x29) q[0], q[2];\ncrz(x30) q[0], q[1];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x39) q[3];\nrz(x40) q[3];\nrx(x41) q[4];\nrz(x42) q[4];\nrx(x43) q[5];\nrz(x38) q[5];\nrx(x44) q[6];\nrz(x45) q[6];\nrx(x46) q[7];\nrz(x47) q[7];\nrx(x48) q[8];\nrz(x49) q[8];\nrx(x50) q[9];\nrz(x51) q[9];\nrx(x52) q[10];\nrz(x53) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["43307769d8a05a2ca68cecbc0fed0778","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 3}]}","{\"states\": [25, 31], \"expectation_value\": -3.06970238287601, \"params\": null, \"bitstrings\": [\"100110\", \"100000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.18712618216087368, 0.5299561105391241], \"optimization_time\": 31.766807079315186}","-0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"100000\", \"100010\", \"100110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5681) q[2];\ncry(1.5158) q[4], q[3];\ncry(-1.4449) q[5], q[0];\nry(0.9915) q[5];\ncry(1.3938) q[5], q[1];\ncry(-0.5146) q[1], q[0];\ncry(0.3185) q[1], q[5];\ncry(-0.1656) q[2], q[0];\nry(0.1487) q[1];\ncry(0.0538) q[2], q[5];\ncry(0.2505) q[3], q[4];\ncry(0.1862) q[0], q[4];\ncry(0.0506) q[5], q[3];\nry(0.0686) q[4];\ncry(0.0388) q[1], q[3];\ncry(0.0565) q[2], q[4];\nry(0.0337) q[3];\ncry(-0.0659) q[0], q[5];\ncry(0.0296) q[1], q[4];\ncry(0.0168) q[2], q[3];\ncry(0.0236) q[2], q[1];\ncry(0.0245) q[4], q[0];\nry(-0.0109) q[0];\ncry(0.0061) q[3], q[5];\ncry(-0.0137) q[0], q[3];\ncry(-0.0077) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":26592,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\ncry(-1.4449) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\ncry(-1.4449) q[5], q[0];\\nry(0.9915) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\ncry(-1.4449) q[5], q[0];\\nry(0.9915) q[5];\\ncry(1.3938) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\ncry(-1.4449) q[5], q[0];\\nry(0.9915) q[5];\\ncry(1.3938) q[5], q[1];\\ncry(-0.5146) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\ncry(-1.4449) q[5], q[0];\\nry(0.9915) q[5];\\ncry(1.3938) q[5], q[1];\\ncry(-0.5146) q[1], q[0];\\ncry(0.3185) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\ncry(-1.4449) q[5], q[0];\\nry(0.9915) q[5];\\ncry(1.3938) q[5], q[1];\\ncry(-0.5146) q[1], q[0];\\ncry(0.3185) q[1], q[5];\\ncry(-0.1656) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\ncry(-1.4449) q[5], q[0];\\nry(0.9915) q[5];\\ncry(1.3938) q[5], q[1];\\ncry(-0.5146) q[1], q[0];\\ncry(0.3185) q[1], q[5];\\ncry(-0.1656) q[2], q[0];\\nry(0.1487) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\ncry(-1.4449) q[5], q[0];\\nry(0.9915) q[5];\\ncry(1.3938) q[5], q[1];\\ncry(-0.5146) q[1], q[0];\\ncry(0.3185) q[1], q[5];\\ncry(-0.1656) q[2], q[0];\\nry(0.1487) q[1];\\ncry(0.0538) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5681) q[2];\\ncry(1.5158) q[4], q[3];\\ncry(-1.4449) q[5], q[0];\\nry(0.9915) q[5];\\ncry(1.3938) q[5], q[1];\\ncry(-0.5146) q[1], q[0];\\ncry(0"}}]
["5d474162f07dfb1b3248afb7c4b90a85","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [17, 3], \"expectation_value\": -14.728659226728476, \"params\": [[-0.0431, -0.010700000000000001], [0.077, 0.07490000000000001]], \"bitstrings\": [\"1101110\", \"1111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.017002872596679035, 0.01795882252717139], \"optimization_time\": 4.272852897644043}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2.75 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + -10.0 * Z(1) + -10.5 * Z(0) + -10.0 * Z(2) + -10.0 * Z(3) + -10.25 * Z(4) + -9.5 * Z(5) + -9.25 * Z(6)",18,7,2,"{\"smallest_eigenvalues\": [-30.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -28.75, \"smallest_bitstrings\": [\"1111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.237) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.237) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.237) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.237) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.237) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.237) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.237) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.237) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.237) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.237) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2586) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.237) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2586) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.2586) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.237) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.2586) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.237) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.2586) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.2586) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.2586) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.2586) q[6];\ncx q[5], q[6];\nrz(0.862) q[1];\nrz(0.9051) q[0];\nrz(0.862) q[2];\nrz(0.862) q[3];\nrz(0.8835) q[4];\nrz(0.8189) q[5];\nrz(0.7974) q[6];\nh q[0];\nrz(0.154) q[0];\nh q[0];\nh q[1];\nrz(0.154) q[1];\nh q[1];\nh q[2];\nrz(0.154) q[2];\nh q[2];\nh q[3];\nrz(0.154) q[3];\nh q[3];\nh q[4];\nrz(0.154) q[4];\nh q[4];\nh q[5];\nrz(0.154) q[5];\nh q[5];\nh q[6];\nrz(0.154) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0589) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0589) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0589) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0589) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0589) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0589) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0589) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0589) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0589) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0589) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0642) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0589) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0642) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0642) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0589) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.0642) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0589) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0642) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.0642) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0642) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0642) q[6];\ncx q[5], q[6];\nrz(0.214) q[1];\nrz(0.2247) q[0];\nrz(0.214) q[2];\nrz(0.214) q[3];\nrz(0.2194) q[4];\nrz(0.2033) q[5];\nrz(0.198) q[6];\nh q[0];\nrz(0.1498) q[0];\nh q[0];\nh q[1];\nrz(0.1498) q[1];\nh q[1];\nh q[2];\nrz(0.1498) q[2];\nh q[2];\nh q[3];\nrz(0.1498) q[3];\nh q[3];\nh q[4];\nrz(0.1498) q[4];\nh q[4];\nh q[5];\nrz(0.1498) q[5];\nh q[5];\nh q[6];\nrz(0.1498) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x8) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x8) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x8) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x8) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x8) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x8) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x8) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x8) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x9) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x8) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x10) q[2];\nrz(x10) q[3];\nrz(x12) q[4];\nrz(x13) q[5];\nrz(x14) q[6];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["e6c8c402e3dce66f9c822ae2c5e943a3","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 6, \"target\": 7}]}","{\"states\": [0, 172], \"expectation_value\": -2.883835249742261, \"params\": [0.303, -0.0002, 0.2987, -0.0004, 0.3035, 0.0019, 0.29710000000000003, 0.004, 0.30770000000000003, 0.0009000000000000001, 0.3079, 0.0005, 0.1862, -0.0782, 0.19590000000000002, -0.0489, 0.30720000000000003, 0.0044, 0.3068, -0.0036000000000000003, 0.30720000000000003, 0.0018000000000000002, 0.305, -0.0009000000000000001, 0.15, 0.004, 0.16290000000000002, -0.0009000000000000001, 0.3009, -0.0081, 0.30670000000000003, -0.0029000000000000002, 0.3008, -0.0005, 0.3027, 0.009000000000000001, 0.2972, 0.0004, 0.2932, 0.0032, 0.3035, -0.0002, 0.3002, 0.0091, 0.1981, 0.0148, 0.1889, 0.0058000000000000005, 0.30770000000000003, 0.0002, 0.3027, 0.0077, 0.3075, 0.002, 0.3085, 0.0044, 0.1585, 0.0011, 0.12300000000000001, 0.006200000000000001, 0.30210000000000004, -0.0058000000000000005, 0.2968, 0.004, -0.042, -0.27690000000000003, -0.2242, -0.2805, 0.22240000000000001, 0.2882, -0.2025, -0.2851, 0.2867, -0.20620000000000002, 0.2059, -0.11120000000000001, 0.2858, 0.2948, -0.2288, -0.22410000000000002], \"bitstrings\": [\"11111111\", \"01010011\"], \"total_optimization_steps\": 30, \"probabilities\": [0.07881016392198671, 0.11890531695447194], \"optimization_time\": 86.10945391654968}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(5)",6,8,2,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"01010011\", \"00110011\", \"01110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.303) q[0];\nrz(-0.0002) q[0];\nrx(0.3035) q[1];\nrz(0.0019) q[1];\nrx(0.3077) q[2];\nrz(0.0009) q[2];\nrx(0.1862) q[3];\nrz(-0.0782) q[3];\nrx(0.3072) q[4];\nrz(0.0044) q[4];\nrx(0.3072) q[5];\nrz(0.0018) q[5];\nrx(0.15) q[6];\nrz(0.004) q[6];\nrx(0.3009) q[7];\nrz(-0.0081) q[7];\ncrx(-0.2025) q[7], q[6];\ncrx(0.2882) q[7], q[5];\ncrx(0.2224) q[7], q[4];\ncrx(-0.2805) q[7], q[3];\ncrx(-0.2242) q[7], q[2];\ncrx(-0.2769) q[7], q[1];\ncrx(-0.042) q[7], q[0];\ncrx(-0.2851) q[6], q[7];\ncrx(0.2882) q[6], q[5];\ncrx(0.2224) q[6], q[4];\ncrx(-0.2805) q[6], q[3];\ncrx(-0.2242) q[6], q[2];\ncrx(-0.2769) q[6], q[1];\ncrx(-0.042) q[6], q[0];\ncrx(-0.2851) q[5], q[7];\ncrx(-0.2025) q[5], q[6];\ncrx(0.2224) q[5], q[4];\ncrx(-0.2805) q[5], q[3];\ncrx(-0.2242) q[5], q[2];\ncrx(-0.2769) q[5], q[1];\ncrx(-0.042) q[5], q[0];\ncrx(-0.2851) q[4], q[7];\ncrx(-0.2025) q[4], q[6];\ncrx(0.2882) q[4], q[5];\ncrx(-0.2805) q[4], q[3];\ncrx(-0.2242) q[4], q[2];\ncrx(-0.2769) q[4], q[1];\ncrx(-0.042) q[4], q[0];\ncrx(-0.2851) q[3], q[7];\ncrx(-0.2025) q[3], q[6];\ncrx(0.2882) q[3], q[5];\ncrx(0.2224) q[3], q[4];\ncrx(-0.2242) q[3], q[2];\ncrx(-0.2769) q[3], q[1];\ncrx(-0.042) q[3], q[0];\ncrx(-0.2851) q[2], q[7];\ncrx(-0.2025) q[2], q[6];\ncrx(0.2882) q[2], q[5];\ncrx(0.2224) q[2], q[4];\ncrx(-0.2805) q[2], q[3];\ncrx(-0.2769) q[2], q[1];\ncrx(-0.042) q[2], q[0];\ncrx(-0.2851) q[1], q[7];\ncrx(-0.2025) q[1], q[6];\ncrx(0.2882) q[1], q[5];\ncrx(0.2224) q[1], q[4];\ncrx(-0.2805) q[1], q[3];\ncrx(-0.2242) q[1], q[2];\ncrx(-0.042) q[1], q[0];\ncrx(-0.2851) q[0], q[7];\ncrx(-0.2025) q[0], q[6];\ncrx(0.2882) q[0], q[5];\ncrx(0.2224) q[0], q[4];\ncrx(-0.2805) q[0], q[3];\ncrx(-0.2242) q[0], q[2];\ncrx(-0.2769) q[0], q[1];\nrx(0.2987) q[0];\nrz(-0.0004) q[0];\nrx(0.2971) q[1];\nrz(0.004) q[1];\nrx(0.3079) q[2];\nrz(0.0005) q[2];\nrx(0.1959) q[3];\nrz(-0.0489) q[3];\nrx(0.3068) q[4];\nrz(-0.0036) q[4];\nrx(0.305) q[5];\nrz(-0.0009) q[5];\nrx(0.1629) q[6];\nrz(-0.0009) q[6];\nrx(0.3067) q[7];\nrz(-0.0029) q[7];\nrx(0.3008) q[0];\nrz(-0.0005) q[0];\nrx(0.2972) q[1];\nrz(0.0004) q[1];\nrx(0.3035) q[2];\nrz(-0.0002) q[2];\nrx(0.1981) q[3];\nrz(0.0148) q[3];\nrx(0.3077) q[4];\nrz(0.0002) q[4];\nrx(0.3075) q[5];\nrz(0.002) q[5];\nrx(0.1585) q[6];\nrz(0.0011) q[6];\nrx(0.3021) q[7];\nrz(-0.0058) q[7];\ncrx(-0.2288) q[7], q[6];\ncrx(0.2948) q[7], q[5];\ncrx(0.2858) q[7], q[4];\ncrx(-0.1112) q[7], q[3];\ncrx(0.2059) q[7], q[2];\ncrx(-0.2062) q[7], q[1];\ncrx(0.2867) q[7], q[0];\ncrx(-0.2241) q[6], q[7];\ncrx(0.2948) q[6], q[5];\ncrx(0.2858) q[6], q[4];\ncrx(-0.1112) q[6], q[3];\ncrx(0.2059) q[6], q[2];\ncrx(-0.2062) q[6], q[1];\ncrx(0.2867) q[6], q[0];\ncrx(-0.2241) q[5], q[7];\ncrx(-0.2288) q[5], q[6];\ncrx(0.2858) q[5], q[4];\ncrx(-0.1112) q[5], q[3];\ncrx(0.2059) q[5], q[2];\ncrx(-0.2062) q[5], q[1];\ncrx(0.2867) q[5], q[0];\ncrx(-0.2241) q[4], q[7];\ncrx(-0.2288) q[4], q[6];\ncrx(0.2948) q[4], q[5];\ncrx(-0.1112) q[4], q[3];\ncrx(0.2059) q[4], q[2];\ncrx(-0.2062) q[4], q[1];\ncrx(0.2867) q[4], q[0];\ncrx(-0.2241) q[3], q[7];\ncrx(-0.2288) q[3], q[6];\ncrx(0.2948) q[3], q[5];\ncrx(0.2858) q[3], q[4];\ncrx(0.2059) q[3], q[2];\ncrx(-0.2062) q[3], q[1];\ncrx(0.2867) q[3], q[0];\ncrx(-0.2241) q[2], q[7];\ncrx(-0.2288) q[2], q[6];\ncrx(0.2948) q[2], q[5];\ncrx(0.2858) q[2], q[4];\ncrx(-0.1112) q[2], q[3];\ncrx(-0.2062) q[2], q[1];\ncrx(0.2867) q[2], q[0];\ncrx(-0.2241) q[1], q[7];\ncrx(-0.2288) q[1], q[6];\ncrx(0.2948) q[1], q[5];\ncrx(0.2858) q[1], q[4];\ncrx(-0.1112) q[1], q[3];\ncrx(0.2059) q[1], q[2];\ncrx(0.2867) q[1], q[0];\ncrx(-0.2241) q[0], q[7];\ncrx(-0.2288) q[0], q[6];\ncrx(0.2948) q[0], q[5];\ncrx(0.2858) q[0], q[4];\ncrx(-0.1112) q[0], q[3];\ncrx(0.2059) q[0], q[2];\ncrx(-0.2062) q[0], q[1];\nrx(0.3027) q[0];\nrz(0.009) q[0];\nrx(0.2932) q[1];\nrz(0.0032) q[1];\nrx(0.3002) q[2];\nrz(0.0091) q[2];\nrx(0.1889) q[3];\nrz(0.0058) q[3];\nrx(0.3027) q[4];\nrz(0.0077) q[4];\nrx(0.3085) q[5];\nrz(0.0044) q[5];\nrx(0.123) q[6];\nrz(0.0062) q[6];\nrx(0.2968) q[7];\nrz(0.004) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x8) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\ncrx(x15) q[7], q[6];\ncrx(x16) q[7], q[5];\ncrx(x17) q[7], q[4];\ncrx(x18) q[7], q[3];\ncrx(x19) q[7], q[2];\ncrx(x20) q[7], q[1];\ncrx(x21) q[7], q[0];\ncrx(x22) q[6], q[7];\ncrx(x16) q[6], q[5];\ncrx(x17) q[6], q[4];\ncrx(x18) q[6], q[3];\ncrx(x19) q[6], q[2];\ncrx(x20) q[6], q[1];\ncrx(x21) q[6], q[0];\ncrx(x22) q[5], q[7];\ncrx(x15) q[5], q[6];\ncrx(x17) q[5], q[4];\ncrx(x18) q[5], q[3];\ncrx(x19) q[5], q[2];\ncrx(x20) q[5], q[1];\ncrx(x21) q[5], q[0];\ncrx(x22) q[4], q[7];\ncrx(x15) q[4], q[6];\ncrx(x16) q[4], q[5];\ncrx(x18) q[4], q[3];\ncrx(x19) q[4], q[2];\ncrx(x20) q[4], q[1];\ncrx(x21) q[4], q[0];\ncrx(x22) q[3], q[7];\ncrx(x15) q[3], q[6];\ncrx(x16) q[3], q[5];\ncrx(x17) q[3], q[4];\ncrx(x19) q[3], q[2];\ncrx(x20) q[3], q[1];\ncrx(x21) q[3], q[0];\ncrx(x22) q[2], q[7];\ncrx(x15) q[2], q[6];\ncrx(x16) q[2], q[5];\ncrx(x17) q[2], q[4];\ncrx(x18) q[2], q[3];\ncrx(x20) q[2], q[1];\ncrx(x21) q[2], q[0];\ncrx(x22) q[1], q[7];\ncrx(x15) q[1], q[6];\ncrx(x16) q[1], q[5];\ncrx(x17) q[1], q[4];\ncrx(x18) q[1], q[3];\ncrx(x19) q[1], q[2];\ncrx(x21) q[1], q[0];\ncrx(x22) q[0], q[7];\ncrx(x15) q[0], q[6];\ncrx(x16) q[0], q[5];\ncrx(x17) q[0], q[4];\ncrx(x18) q[0], q[3];\ncrx(x19) q[0], q[2];\ncrx(x20) q[0], q[1];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x12) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nrx(x34) q[6];\nrz(x33) q[6];\nrx(x35) q[7];\nrz(x36) q[7];\nrx(x37) q[0];\nrz(x38) q[0];\nrx(x39) q[1];\nrz(x40) q[1];\nrx(x2) q[2];\nrz(x1) q[2];\nrx(x41) q[3];\nrz(x42) q[3];\nrx(x4) q[4];\nrz(x43) q[4];\nrx(x44) q[5];\nrz(x45) q[5];\nrx(x46) q[6];\nrz(x47) q[6];\nrx(x48) q[7];\nrz(x49) q[7];\ncrx(x50) q[7], q[6];\ncrx(x51) q[7], q[5];\ncrx(x52) q[7], q[4];\ncrx(x53) q[7], q[3];\ncrx(x54) q[7], q[2];\ncrx(x55) q[7], q[1];\ncrx(x56) q[7], q[0];\ncrx(x57) q[6], q[7];\ncrx(x51) q[6], q[5];\ncrx(x52) q[6], q[4];\ncrx(x53) q[6], q[3];\ncrx(x54) q[6], q[2];\ncrx(x55) q[6], q[1];\ncrx(x56) q[6], q[0];\ncrx(x57) q[5], q[7];\ncrx(x50) q[5], q[6];\ncrx(x52) q[5], q[4];\ncrx(x53) q[5], q[3];\ncrx(x54) q[5], q[2];\ncrx(x55) q[5], q[1];\ncrx(x56) q[5], q[0];\ncrx(x57) q[4], q[7];\ncrx(x50) q[4], q[6];\ncrx(x51) q[4], q[5];\ncrx(x53) q[4], q[3];\ncrx(x54) q[4], q[2];\ncrx(x55) q[4], q[1];\ncrx(x56) q[4], q[0];\ncrx(x57) q[3], q[7];\ncrx(x50) q[3], q[6];\ncrx(x51) q[3], q[5];\ncrx(x52) q[3], q[4];\ncrx(x54) q[3], q[2];\ncrx(x55) q[3], q[1];\ncrx(x56) q[3], q[0];\ncrx(x57) q[2], q[7];\ncrx(x50) q[2], q[6];\ncrx(x51) q[2], q[5];\ncrx(x52) q[2], q[4];\ncrx(x53) q[2], q[3];\ncrx(x55) q[2], q[1];\ncrx(x56) q[2], q[0];\ncrx(x57) q[1], q[7];\ncrx(x50) q[1], q[6];\ncrx(x51) q[1], q[5];\ncrx(x52) q[1], q[4];\ncrx(x53) q[1], q[3];\ncrx(x54) q[1], q[2];\ncrx(x56) q[1], q[0];\ncrx(x57) q[0], q[7];\ncrx(x50) q[0], q[6];\ncrx(x51) q[0], q[5];\ncrx(x52) q[0], q[4];\ncrx(x53) q[0], q[3];\ncrx(x54) q[0], q[2];\ncrx(x55) q[0], q[1];\nrx(x58) q[0];\nrz(x59) q[0];\nrx(x60) q[1];\nrz(x61) q[1];\nrx(x62) q[2];\nrz(x63) q[2];\nrx(x64) q[3];\nrz(x65) q[3];\nrx(x58) q[4];\nrz(x66) q[4];\nrx(x67) q[5];\nrz(x9) q[5];\nrx(x68) q[6];\nrz(x69) q[6];\nrx(x70) q[7];\nrz(x12) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["58c03faa30d0c8774100cfa24f25fe60","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 8, \"target\": 9}]}","{\"states\": [508, 511], \"expectation_value\": -12.403936331117217, \"params\": null, \"bitstrings\": [\"000000011\", \"000000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.13018786340057373, 0.3904085681745235], \"optimization_time\": 221.37016439437866}","-2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-16.5, -16.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -15.5, \"smallest_bitstrings\": [\"000000000\", \"000001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[3], q[4];\ncry(1.5708) q[1], q[0];\nry(1.5708) q[2];\nry(0.847) q[1];\nry(-0.4191) q[0];\ncry(-0.0001) q[2], q[0];\ncry(0.669) q[4], q[0];\nry(1.063) q[3];\nry(-0.4791) q[4];\ncry(0.5678) q[0], q[4];\ncry(0.2805) q[1], q[4];\ncry(1.5706) q[5], q[6];\ncry(0.463) q[0], q[1];\ncry(0.2745) q[6], q[4];\ncry(0.269) q[6], q[0];\ncry(0.374) q[1], q[3];\ncry(1.5486) q[7], q[8];\ncry(1.2305) q[8], q[7];\ncry(0.1882) q[7], q[4];\nry(0.4382) q[5];\ncry(0.0913) q[7], q[0];\ncry(0.1409) q[3], q[1];\ncry(0.6859) q[6], q[5];\nry(0.2215) q[6];\ncry(-0.0575) q[2], q[1];\ncry(0.0718) q[4], q[3];\ncry(-0.0684) q[2], q[3];\ncry(0.0691) q[0], q[3];\ncry(0.0513) q[4], q[1];\ncry(0.0427) q[8], q[0];\ncry(-0.0245) q[5], q[0];\ncry(-0.0348) q[8], q[3];\ncry(-0.0241) q[8], q[1];\ncry(0.0561) q[2], q[5];\ncry(0.0346) q[2], q[6];\ncry(0.0513) q[4], q[5];\ncry(0.0297) q[3], q[6];\ncry(-0.0085) q[5], q[4];\ncry(0.0363) q[3], q[5];\ncry(0.0218) q[4], q[6];\ncry(0.0101) q[3], q[0];\ncry(0.0073) q[8], q[4];\ncry(0.0322) q[0], q[5];\ncry(0.0208) q[1], q[6];\ncry(0.013) q[5], q[1];\ncry(0.0254) q[1], q[5];\ncry(0.0153) q[0], q[6];\nry(0.0162) q[8];\ncry(0.0216) q[7], q[5];\ncry(0.0135) q[7], q[6];\ncry(-0.0048) q[7], q[1];\ncry(-0.0033) q[6], q[3];\ncry(0.0177) q[8], q[5];\ncry(0.0107) q[8], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"node\": 7}",{"$cut":{"chars":120891,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[1], q[0];\\nry(1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[1], q[0];\\nry(1.5708) q[2];\\nry(0.847) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[1], q[0];\\nry(1.5708) q[2];\\nry(0.847) q[1];\\nry(-0.4191) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[1], q[0];\\nry(1.5708) q[2];\\nry(0.847) q[1];\\nry(-0.4191) q[0];\\ncry(-0.0001) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[1], q[0];\\nry(1.5708) q[2];\\nry(0.847) q[1];\\nry(-0.4191) q[0];\\ncry(-0.0001) q[2], q[0];\\ncry(0.669) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[1], q[0];\\nry(1.5708) q[2];\\nry(0.847) q[1];\\nry(-0.4191) q[0];\\ncry(-0.0001) q[2], q[0];\\ncry(0.669) q[4], q[0];\\nry(1.063) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[1], q[0];\\nry(1.5708) q[2];\\nry(0.847) q[1];\\nry(-0.4191) q[0];\\ncry(-0.0001) q[2], q[0];\\ncry(0.669) q[4], q[0];\\nry(1.063) q[3];\\nry(-0.4791) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = meas"}}]
["c513b3f9e92fab9360fc637fed72bb83","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 0, \"target\": 9}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 9}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 8}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 8}, {\"capacity\": 2, \"source\": 7, \"target\": 1}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 5}, {\"capacity\": 1, \"source\": 7, \"target\": 6}, {\"capacity\": 1, \"source\": 8, \"target\": 2}]}","{\"states\": [0, 1], \"expectation_value\": -8.748420232252496, \"params\": [-0.08120000000000001, 0.031, -0.0694, 0.0105, -0.004, 0.2381, -0.0013000000000000002, 0.2358, -0.0016, 0.2359, -0.002, 0.24300000000000002, -0.0008, 0.23770000000000002, 0.0008, 0.2446, -0.004, 0.2373, -0.0018000000000000002, 0.2406, 0.0008, 0.1509, 0.001, 0.1317, -0.0043, 0.2303, 0.0017000000000000001, 0.2296, -0.003, 0.2306, -0.0045000000000000005, 0.23290000000000002, -0.0041, 0.2238, 0.0039000000000000003, 0.2277, 0.3037, 0.00030000000000000003, 0.30610000000000004, 0.0005, -0.0693, -0.0032, 0.0351, -0.023100000000000002, -0.0047, 0.23650000000000002, -0.00030000000000000003, 0.2288, 0.0008, 0.23670000000000002, -0.0059, 0.2422, -0.0066, 0.2358, -0.006, 0.23320000000000002, 0.004, 0.22540000000000002, -0.0014, 0.20070000000000002, -0.007500000000000001, 0.2142, -0.0033, 0.222, 0.0012000000000000001, 0.2177, -0.0046, 0.22060000000000002, 0.0013000000000000002, 0.2306, -0.0023, 0.22940000000000002, 0.0009000000000000001, 0.23290000000000002, -0.0034000000000000002, 0.2349, 0.3068, 0.00030000000000000003, 0.2998, 0.0006000000000000001, 0.0392, -0.007, 0.0955, 0.0039000000000000003, -0.0032, 0.2353, -0.0033, 0.0067, -0.005, 0.24500000000000002, -0.0019, 0.0044, -0.0036000000000000003, 0.1948, 0.0007, 0.0068000000000000005, 0.0015, 0.1643, -0.0073, 0.0019, -0.0029000000000000002, 0.2286, -0.0025, 0.0057, -0.0044, 0.23500000000000001, -0.0015, 0.0071, -0.0049, 0.2381, -0.0027, 0.0073, 0.0002, 0.2267, -0.0029000000000000002, 0.0011, 0.30360000000000004, 0.00030000000000000003, 0.29910000000000003, 0.0014, 0.0176, -0.0007, 0.0102, 0.0006000000000000001, 0.0013000000000000002, 0.0034000000000000002, 0.0011, -0.0027, 0.0012000000000000001, 0.22410000000000002, 0.0211, -0.0037, 0.0094, -0.0029000000000000002, 0.0012000000000000001, -0.0055000000000000005, 0.00030000000000000003, -0.0016, 0.0023, 0.2889, 0.0717, -0.0029000000000000002, -0.0012000000000000001, -0.0004, -0.0056, -0.0005, -0.0008, -0.0041, -0.003, 0.25980000000000003], \"bitstrings\": [\"1111111111\", \"1111111110\"], \"total_optimization_steps\": 30, \"probabilities\": [0.37491276231849735, 0.6246713977242583], \"optimization_time\": 54.900681257247925}","-0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(7) + 1.0 * Z(9) + 0.0 * Z(2) + -0.25 * Z(5) + -0.5 * Z(6) + -0.25 * Z(3) + 0.0 * Z(4) + -0.25 * Z(8)",6,10,3,"{\"smallest_eigenvalues\": [-10.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.25, \"smallest_bitstrings\": [\"1111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.0812) q[0];\nrz(0.031) q[0];\nrx(-0.004) q[1];\nrz(0.2381) q[1];\nrx(-0.0016) q[2];\nrz(0.2359) q[2];\nrx(-0.0008) q[3];\nrz(0.2377) q[3];\nrx(-0.004) q[4];\nrz(0.2373) q[4];\nrx(0.0008) q[5];\nrz(0.1509) q[5];\nrx(-0.0043) q[6];\nrz(0.2303) q[6];\nrx(-0.003) q[7];\nrz(0.2306) q[7];\nrx(-0.0041) q[8];\nrz(0.2238) q[8];\nrx(0.3037) q[9];\nrz(0.0003) q[9];\ncrx(0.0012) q[9], q[8];\ncrx(-0.0027) q[9], q[7];\ncrx(0.0011) q[9], q[6];\ncrx(0.0034) q[9], q[5];\ncrx(0.0013) q[9], q[4];\ncrx(0.0006) q[9], q[3];\ncrx(0.0102) q[9], q[2];\ncrx(-0.0007) q[9], q[1];\ncrx(0.0176) q[9], q[0];\ncrx(0.2241) q[8], q[9];\ncrx(-0.0027) q[8], q[7];\ncrx(0.0011) q[8], q[6];\ncrx(0.0034) q[8], q[5];\ncrx(0.0013) q[8], q[4];\ncrx(0.0006) q[8], q[3];\ncrx(0.0102) q[8], q[2];\ncrx(-0.0007) q[8], q[1];\ncrx(0.0176) q[8], q[0];\ncrx(0.2241) q[7], q[9];\ncrx(0.0012) q[7], q[8];\ncrx(0.0011) q[7], q[6];\ncrx(0.0034) q[7], q[5];\ncrx(0.0013) q[7], q[4];\ncrx(0.0006) q[7], q[3];\ncrx(0.0102) q[7], q[2];\ncrx(-0.0007) q[7], q[1];\ncrx(0.0176) q[7], q[0];\ncrx(0.2241) q[6], q[9];\ncrx(0.0012) q[6], q[8];\ncrx(-0.0027) q[6], q[7];\ncrx(0.0034) q[6], q[5];\ncrx(0.0013) q[6], q[4];\ncrx(0.0006) q[6], q[3];\ncrx(0.0102) q[6], q[2];\ncrx(-0.0007) q[6], q[1];\ncrx(0.0176) q[6], q[0];\ncrx(0.2241) q[5], q[9];\ncrx(0.0012) q[5], q[8];\ncrx(-0.0027) q[5], q[7];\ncrx(0.0011) q[5], q[6];\ncrx(0.0013) q[5], q[4];\ncrx(0.0006) q[5], q[3];\ncrx(0.0102) q[5], q[2];\ncrx(-0.0007) q[5], q[1];\ncrx(0.0176) q[5], q[0];\ncrx(0.2241) q[4], q[9];\ncrx(0.0012) q[4], q[8];\ncrx(-0.0027) q[4], q[7];\ncrx(0.0011) q[4], q[6];\ncrx(0.0034) q[4], q[5];\ncrx(0.0006) q[4], q[3];\ncrx(0.0102) q[4], q[2];\ncrx(-0.0007) q[4], q[1];\ncrx(0.0176) q[4], q[0];\ncrx(0.2241) q[3], q[9];\ncrx(0.0012) q[3], q[8];\ncrx(-0.0027) q[3], q[7];\ncrx(0.0011) q[3], q[6];\ncrx(0.0034) q[3], q[5];\ncrx(0.0013) q[3], q[4];\ncrx(0.0102) q[3], q[2];\ncrx(-0.0007) q[3], q[1];\ncrx(0.0176) q[3], q[0];\ncrx(0.2241) q[2], q[9];\ncrx(0.0012) q[2], q[8];\ncrx(-0.0027) q[2], q[7];\ncrx(0.0011) q[2], q[6];\ncrx(0.0034) q[2], q[5];\ncrx(0.0013) q[2], q[4];\ncrx(0.0006) q[2], q[3];\ncrx(-0.0007) q[2], q[1];\ncrx(0.0176) q[2], q[0];\ncrx(0.2241) q[1], q[9];\ncrx(0.0012) q[1], q[8];\ncrx(-0.0027) q[1], q[7];\ncrx(0.0011) q[1], q[6];\ncrx(0.0034) q[1], q[5];\ncrx(0.0013) q[1], q[4];\ncrx(0.0006) q[1], q[3];\ncrx(0.0102) q[1], q[2];\ncrx(0.0176) q[1], q[0];\ncrx(0.2241) q[0], q[9];\ncrx(0.0012) q[0], q[8];\ncrx(-0.0027) q[0], q[7];\ncrx(0.0011) q[0], q[6];\ncrx(0.0034) q[0], q[5];\ncrx(0.0013) q[0], q[4];\ncrx(0.0006) q[0], q[3];\ncrx(0.0102) q[0], q[2];\ncrx(-0.0007) q[0], q[1];\nrx(-0.0694) q[0];\nrz(0.0105) q[0];\nrx(-0.0013) q[1];\nrz(0.2358) q[1];\nrx(-0.002) q[2];\nrz(0.243) q[2];\nrx(0.0008) q[3];\nrz(0.2446) q[3];\nrx(-0.0018) q[4];\nrz(0.2406) q[4];\nrx(0.001) q[5];\nrz(0.1317) q[5];\nrx(0.0017) q[6];\nrz(0.2296) q[6];\nrx(-0.0045) q[7];\nrz(0.2329) q[7];\nrx(0.0039) q[8];\nrz(0.2277) q[8];\nrx(0.3061) q[9];\nrz(0.0005) q[9];\nrx(-0.0693) q[0];\nrz(-0.0032) q[0];\nrx(-0.0047) q[1];\nrz(0.2365) q[1];\nrx(0.0008) q[2];\nrz(0.2367) q[2];\nrx(-0.0066) q[3];\nrz(0.2358) q[3];\nrx(0.004) q[4];\nrz(0.2254) q[4];\nrx(-0.0075) q[5];\nrz(0.2142) q[5];\nrx(0.0012) q[6];\nrz(0.2177) q[6];\nrx(0.0013) q[7];\nrz(0.2306) q[7];\nrx(0.0009) q[8];\nrz(0.2329) q[8];\nrx(0.3068) q[9];\nrz(0.0003) q[9];\ncrx(0.0023) q[9], q[8];\ncrx(-0.0016) q[9], q[7];\ncrx(0.0003) q[9], q[6];\ncrx(-0.0055) q[9], q[5];\ncrx(0.0012) q[9], q[4];\ncrx(-0.0029) q[9], q[3];\ncrx(0.0094) q[9], q[2];\ncrx(-0.0037) q[9], q[1];\ncrx(0.0211) q[9], q[0];\ncrx(0.2889) q[8], q[9];\ncrx(-0.0016) q[8], q[7];\ncrx(0.0003) q[8], q[6];\ncrx(-0.0055) q[8], q[5];\ncrx(0.0012) q[8], q[4];\ncrx(-0.0029) q[8], q[3];\ncrx(0.0094) q[8], q[2];\ncrx(-0.0037) q[8], q[1];\ncrx(0.0211) q[8], q[0];\ncrx(0.2889) q[7], q[9];\ncrx(0.0023) q[7], q[8];\ncrx(0.0003) q[7], q[6];\ncrx(-0.0055) q[7], q[5];\ncrx(0.0012) q[7], q[4];\ncrx(-0.0029) q[7], q[3];\ncrx(0.0094) q[7], q[2];\ncrx(-0.0037) q[7], q[1];\ncrx(0.0211) q[7], q[0];\ncrx(0.2889) q[6], q[9];\ncrx(0.0023) q[6], q[8];\ncrx(-0.0016) q[6], q[7];\ncrx(-0.0055) q[6], q[5];\ncrx(0.0012) q[6], q[4];\ncrx(-0.0029) q[6], q[3];\ncrx(0.0094) q[6], q[2];\ncrx(-0.0037) q[6], q[1];\ncrx(0.0211) q[6], q[0];\ncrx(0.2889) q[5], q[9];\ncrx(0.0023) q[5], q[8];\ncrx(-0.0016) q[5], q[7];\ncrx(0.0003) q[5], q[6];\ncrx(0.0012) q[5], q[4];\ncrx(-0.0029) q[5], q[3];\ncrx(0.0094) q[5], q[2];\ncrx(-0.0037) q[5], q[1];\ncrx(0.0211) q[5], q[0];\ncrx(0.2889) q[4], q[9];\ncrx(0.0023) q[4], q[8];\ncrx(-0.0016) q[4], q[7];\ncrx(0.0003) q[4], q[6];\ncrx(-0.0055) q[4], q[5];\ncrx(-0.0029) q[4], q[3];\ncrx(0.0094) q[4], q[2];\ncrx(-0.0037) q[4], q[1];\ncrx(0.0211) q[4], q[0];\ncrx(0.2889) q[3], q[9];\ncrx(0.0023) q[3], q[8];\ncrx(-0.0016) q[3], q[7];\ncrx(0.0003) q[3], q[6];\ncrx(-0.0055) q[3], q[5];\ncrx(0.0012) q[3], q[4];\ncrx(0.0094) q[3], q[2];\ncrx(-0.0037) q[3], q[1];\ncrx(0.0211) q[3], q[0];\ncrx(0.2889) q[2], q[9];\ncrx(0.0023) q[2], q[8];\ncrx(-0.0016) q[2], q[7];\ncrx(0.0003) q[2], q[6];\ncrx(-0.0055) q[2], q[5];\ncrx(0.0012) q[2], q[4];\ncrx(-0.0029) q[2], q[3];\ncrx(-0.0037) q[2], q[1];\ncrx(0.0211) q[2], q[0];\ncrx(0.2889) q[1], q[9];\ncrx(0.0023) q[1], q[8];\ncrx(-0.0016) q[1], q[7];\ncrx(0.0003) q[1], q[6];\ncrx(-0.0055) q[1], q[5];\ncrx(0.0012) q[1], q[4];\ncrx(-0.0029) q[1], q[3];\ncrx(0.0094) q[1], q[2];\ncrx(0.0211) q[1], q[0];\ncrx(0.2889) q[0], q[9];\ncrx(0.0023) q[0], q[8];\ncrx(-0.0016) q[0], q[7];\ncrx(0.0003) q[0], q[6];\ncrx(-0.0055) q[0], q[5];\ncrx(0.0012) q[0], q[4];\ncrx(-0.0029) q[0], q[3];\ncrx(0.0094) q[0], q[2];\ncrx(-0.0037) q[0], q[1];\nrx(0.0351) q[0];\nrz(-0.0231) q[0];\nrx(-0.0003) q[1];\nrz(0.2288) q[1];\nrx(-0.0059) q[2];\nrz(0.2422) q[2];\nrx(-0.006) q[3];\nrz(0.2332) q[3];\nrx(-0.0014) q[4];\nrz(0.2007) q[4];\nrx(-0.0033) q[5];\nrz(0.222) q[5];\nrx(-0.0046) q[6];\nrz(0.2206) q[6];\nrx(-0.0023) q[7];\nrz(0.2294) q[7];\nrx(-0.0034) q[8];\nrz(0.2349) q[8];\nrx(0.2998) q[9];\nrz(0.0006) q[9];\nrx(0.0392) q[0];\nrz(-0.007) q[0];\nrx(-0.0032) q[1];\nrz(0.2353) q[1];\nrx(-0.005) q[2];\nrz(0.245) q[2];\nrx(-0.0036) q[3];\nrz(0.1948) q[3];\nrx(0.0015) q[4];\nrz(0.1643) q[4];\nrx(-0.0029) q[5];\nrz(0.2286) q[5];\nrx(-0.0044) q[6];\nrz(0.235) q[6];\nrx(-0.0049) q[7];\nrz(0.2381) q[7];\nrx(0.0002) q[8];\nrz(0.2267) q[8];\nrx(0.3036) q[9];\nrz(0.0003) q[9];\ncrx(-0.003) q[9], q[8];\ncrx(-0.0041) q[9], q[7];\ncrx(-0.0008) q[9], q[6];\ncrx(-0.0005) q[9], q[5];\ncrx(-0.0056) q[9], q[4];\ncrx(-0.0004) q[9], q[3];\ncrx(-0.0012) q[9], q[2];\ncrx(-0.0029) q[9], q[1];\ncrx(0.0717) q[9], q[0];\ncrx(0.2598) q[8], q[9];\ncrx(-0.0041) q[8], q[7];\ncrx(-0.0008) q[8], q[6];\ncrx(-0.0005) q[8], q[5];\ncrx(-0.0056) q[8], q[4];\ncrx(-0.0004) q[8], q[3];\ncrx(-0.0012) q[8], q[2];\ncrx(-0.0029) q[8], q[1];\ncrx(0.0717) q[8], q[0];\ncrx(0.2598) q[7], q[9];\ncrx(-0.003) q[7], q[8];\ncrx(-0.0008) q[7], q[6];\ncrx(-0.0005) q[7], q[5];\ncrx(-0.0056) q[7], q[4];\ncrx(-0.0004) q[7], q[3];\ncrx(-0.0012) q[7], q[2];\ncrx(-0.0029) q[7], q[1];\ncrx(0.0717) q[7], q[0];\ncrx(0.2598) q[6], q[9];\ncrx(-0.003) q[6], q[8];\ncrx(-0.0041) q[6], q[7];\ncrx(-0.0005) q[6], q[5];\ncrx(-0.0056) q[6], q[4];\ncrx(-0.0004) q[6], q[3];\ncrx(-0.0012) q[6], q[2];\ncrx(-0.0029) q[6], q[1];\ncrx(0.0717) q[6], q[0];\ncrx(0.2598) q[5], q[9];\ncrx(-0.003) q[5], q[8];\ncrx(-0.0041) q[5], q[7];\ncrx(-0.0008) q[5], q[6];\ncrx(-0.0056) q[5], q[4];\ncrx(-0.0004) q[5], q[3];\ncrx(-0.0012) q[5], q[2];\ncrx(-0.0029) q[5], q[1];\ncrx(0.0717) q[5], q[0];\ncrx(0.2598) q[4], q[9];\ncrx(-0.003) q[4], q[8];\ncrx(-0.0041) q[4], q[7];\ncrx(-0.0008) q[4], q[6];\ncrx(-0.0005) q[4], q[5];\ncrx(-0.0004) q[4], q[3];\ncrx(-0.0012) q[4], q[2];\ncrx(-0.0029) q[4], q[1];\ncrx(0.0717) q[4], q[0];\ncrx(0.2598) q[3], q[9];\ncrx(-0.003) q[3], q[8];\ncrx(-0.0041) q[3], q[7];\ncrx(-0.0008) q[3], q[6];\ncrx(-0.0005) q[3], q[5];\ncrx(-0.0056) q[3], q[4];\ncrx(-0.0012) q[3], q[2];\ncrx(-0.0029) q[3], q[1];\ncrx(0.0717) q[3], q[0];\ncrx(0.2598) q[2], q[9];\ncrx(-0.003) q[2], q[8];\ncrx(-0.0041) q[2], q[7];\ncrx(-0.0008) q[2], q[6];\ncrx(-0.0005) q[2], q[5];\ncrx(-0.0056) q[2], q[4];\ncrx(-0.0004) q[2], q[3];\ncrx(-0.0029) q[2], q[1];\ncrx(0.0717) q[2], q[0];\ncrx(0.2598) q[1], q[9];\ncrx(-0.003) q[1], q[8];\ncrx(-0.0041) q[1], q[7];\ncrx(-0.0008) q[1], q[6];\ncrx(-0.0005) q[1], q[5];\ncrx(-0.0056) q[1], q[4];\ncrx(-0.0004) q[1], q[3];\ncrx(-0.0012) q[1], q[2];\ncrx(0.0717) q[1], q[0];\ncrx(0.2598) q[0], q[9];\ncrx(-0.003) q[0], q[8];\ncrx(-0.0041) q[0], q[7];\ncrx(-0.0008) q[0], q[6];\ncrx(-0.0005) q[0], q[5];\ncrx(-0.0056) q[0], q[4];\ncrx(-0.0004) q[0], q[3];\ncrx(-0.0012) q[0], q[2];\ncrx(-0.0029) q[0], q[1];\nrx(0.0955) q[0];\nrz(0.0039) q[0];\nrx(-0.0033) q[1];\nrz(0.0067) q[1];\nrx(-0.0019) q[2];\nrz(0.0044) q[2];\nrx(0.0007) q[3];\nrz(0.0068) q[3];\nrx(-0.0073) q[4];\nrz(0.0019) q[4];\nrx(-0.0025) q[5];\nrz(0.0057) q[5];\nrx(-0.0015) q[6];\nrz(0.0071) q[6];\nrx(-0.0027) q[7];\nrz(0.0073) q[7];\nrx(-0.0029) q[8];\nrz(0.0011) q[8];\nrx(0.2991) q[9];\nrz(0.0014) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x2) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrx(x19) q[9], q[8];\ncrx(x20) q[9], q[7];\ncrx(x21) q[9], q[6];\ncrx(x22) q[9], q[5];\ncrx(x23) q[9], q[4];\ncrx(x24) q[9], q[3];\ncrx(x25) q[9], q[2];\ncrx(x26) q[9], q[1];\ncrx(x27) q[9], q[0];\ncrx(x28) q[8], q[9];\ncrx(x20) q[8], q[7];\ncrx(x21) q[8], q[6];\ncrx(x22) q[8], q[5];\ncrx(x23) q[8], q[4];\ncrx(x24) q[8], q[3];\ncrx(x25) q[8], q[2];\ncrx(x26) q[8], q[1];\ncrx(x27) q[8], q[0];\ncrx(x28) q[7], q[9];\ncrx(x19) q[7], q[8];\ncrx(x21) q[7], q[6];\ncrx(x22) q[7], q[5];\ncrx(x23) q[7], q[4];\ncrx(x24) q[7], q[3];\ncrx(x25) q[7], q[2];\ncrx(x26) q[7], q[1];\ncrx(x27) q[7], q[0];\ncrx(x28) q[6], q[9];\ncrx(x19) q[6], q[8];\ncrx(x20) q[6], q[7];\ncrx(x22) q[6], q[5];\ncrx(x23) q[6], q[4];\ncrx(x24) q[6], q[3];\ncrx(x25) q[6], q[2];\ncrx(x26) q[6], q[1];\ncrx(x27) q[6], q[0];\ncrx(x28) q[5], q[9];\ncrx(x19) q[5], q[8];\ncrx(x20) q[5], q[7];\ncrx(x21) q[5], q[6];\ncrx(x23) q[5], q[4];\ncrx(x24) q[5], q[3];\ncrx(x25) q[5], q[2];\ncrx(x26) q[5], q[1];\ncrx(x27) q[5], q[0];\ncrx(x28) q[4], q[9];\ncrx(x19) q[4], q[8];\ncrx(x20) q[4], q[7];\ncrx(x21) q[4], q[6];\ncrx(x22) q[4], q[5];\ncrx(x24) q[4], q[3];\ncrx(x25) q[4], q[2];\ncrx(x26) q[4], q[1];\ncrx(x27) q[4], q[0];\ncrx(x28) q[3], q[9];\ncrx(x19) q[3], q[8];\ncrx(x20) q[3], q[7];\ncrx(x21) q[3], q[6];\ncrx(x22) q[3], q[5];\ncrx(x23) q[3], q[4];\ncrx(x25) q[3], q[2];\ncrx(x26) q[3], q[1];\ncrx(x27) q[3], q[0];\ncrx(x28) q[2], q[9];\ncrx(x19) q[2], q[8];\ncrx(x20) q[2], q[7];\ncrx(x21) q[2], q[6];\ncrx(x22) q[2], q[5];\ncrx(x23) q[2], q[4];\ncrx(x24) q[2], q[3];\ncrx(x26) q[2], q[1];\ncrx(x27) q[2], q[0];\ncrx(x28) q[1], q[9];\ncrx(x19) q[1], q[8];\ncrx(x20) q[1], q[7];\ncrx(x21) q[1], q[6];\ncrx(x22) q[1], q[5];\ncrx(x23) q[1], q[4];\ncrx(x24) q[1], q[3];\ncrx(x25) q[1], q[2];\ncrx(x27) q[1], q[0];\ncrx(x28) q[0], q[9];\ncrx(x19) q[0], q[8];\ncrx(x20) q[0], q[7];\ncrx(x21) q[0], q[6];\ncrx(x22) q[0], q[5];\ncrx(x23) q[0], q[4];\ncrx(x24) q[0], q[3];\ncrx(x25) q[0], q[2];\ncrx(x26) q[0], q[1];\nrx(x29) q[0];\nrz(x30) q[0];\nrx(x31) q[1];\nrz(x32) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x9) q[3];\nrz(x35) q[3];\nrx(x36) q[4];\nrz(x37) q[4];\nrx(x38) q[5];\nrz(x39) q[5];\nrx(x40) q[6];\nrz(x41) q[6];\nrx(x42) q[7];\nrz(x43) q[7];\nrx(x44) q[8];\nrz(x45) q[8];\nrx(x46) q[9];\nrz(x47) q[9];\nrx(x48) q[0];\nrz(x49) q[0];\nrx(x50) q[1];\nrz(x51) q[1];\nrx(x9) q[2];\nrz(x52) q[2];\nrx(x53) q[3];\nrz(x32) q[3];\nrx(x54) q[4];\nrz(x55) q[4];\nrx(x56) q[5];\nrz(x57) q[5];\nrx(x19) q[6];\nrz(x58) q[6];\nrx(x23) q[7];\nrz(x14) q[7];\nrx(x59) q[8];\nrz(x43) q[8];\nrx(x60) q[9];\nrz(x18) q[9];\ncrx(x61) q[9], q[8];\ncrx(x4) q[9], q[7];\ncrx(x18) q[9], q[6];\ncrx(x62) q[9], q[5];\ncrx(x19) q[9], q[4];\ncrx(x63) q[9], q[3];\ncrx(x64) q[9], q[2];\ncrx(x65) q[9], q[1];\ncrx(x66) q[9], q[0];\ncrx(x67) q[8], q[9];\ncrx(x4) q[8], q[7];\ncrx(x18) q[8], q[6];\ncrx(x62) q[8], q[5];\ncrx(x19) q[8], q[4];\ncrx(x63) q[8], q[3];\ncrx(x64) q[8], q[2];\ncrx(x65) q[8], q[1];\ncrx(x66) q[8], q[0];\ncrx(x67) q[7], q[9];\ncrx(x61) q[7], q[8];\ncrx(x18) q[7], q[6];\ncrx(x62) q[7], q[5];\ncrx(x19) q[7], q[4];\ncrx(x63) q[7], q[3];\ncrx(x64) q[7], q[2];\ncrx(x65) q[7], q[1];\ncrx(x66) q[7], q[0];\ncrx(x67) q[6], q[9];\ncrx(x61) q[6], q[8];\ncrx(x4) q[6], q[7];\ncrx(x62) q[6], q[5];\ncrx(x19) q[6], q[4];\ncrx(x63) q[6], q[3];\ncrx(x64) q[6], q[2];\ncrx(x65) q[6], q[1];\ncrx(x66) q[6], q[0];\ncrx(x67) q[5], q[9];\ncrx(x61) q[5], q[8];\ncrx(x4) q[5], q[7];\ncrx(x18) q[5], q[6];\ncrx(x19) q[5], q[4];\ncrx(x63) q[5], q[3];\ncrx(x64) q[5], q[2];\ncrx(x65) q[5], q[1];\ncrx(x66) q[5], q[0];\ncrx(x67) q[4], q[9];\ncrx(x61) q[4], q[8];\ncrx(x4) q[4], q[7];\ncrx(x18) q[4], q[6];\ncrx(x62) q[4], q[5];\ncrx(x63) q[4], q[3];\ncrx(x64) q[4], q[2];\ncrx(x65) q[4], q[1];\ncrx(x66) q[4], q[0];\ncrx(x67) q[3], q[9];\ncrx(x61) q[3], q[8];\ncrx(x4) q[3], q[7];\ncrx(x18) q[3], q[6];\ncrx(x62) q[3], q[5];\ncrx(x19) q[3], q[4];\ncrx(x64) q[3], q[2];\ncrx(x65) q[3], q[1];\ncrx(x66) q[3], q[0];\ncrx(x67) q[2], q[9];\ncrx(x61) q[2], q[8];\ncrx(x4) q[2], q[7];\ncrx(x18) q[2], q[6];\ncrx(x62) q[2], q[5];\ncrx(x19) q[2], q[4];\ncrx(x63) q[2], q[3];\ncrx(x65) q[2], q[1];\ncrx(x66) q[2], q[0];\ncrx(x67) q[1], q[9];\ncrx(x61) q[1], q[8];\ncrx(x4) q[1], q[7];\ncrx(x18) q[1], q[6];\ncrx(x62) q[1], q[5];\ncrx(x19) q[1], q[4];\ncrx(x63) q[1], q[3];\ncrx(x64) q[1], q[2];\ncrx(x66) q[1], q[0];\ncrx(x67) q[0], q[9];\ncrx(x61) q[0], q[8];\ncrx(x4) q[0], q[7];\ncrx(x18) q[0], q[6];\ncrx(x62) q[0], q[5];\ncrx(x19) q[0], q[4];\ncrx(x63) q[0], q[3];\ncrx(x64) q[0], q[2];\ncrx(x65) q[0], q[1];\nrx(x68) q[0];\nrz(x69) q[0];\nrx(x70) q[1];\nrz(x71) q[1];\nrx(x72) q[2];\nrz(x73) q[2];\nrx(x74) q[3];\nrz(x75) q[3];\nrx(x76) q[4];\nrz(x77) q[4];\nrx(x78) q[5];\nrz(x79) q[5];\nrx(x80) q[6];\nrz(x81) q[6];\nrx(x82) q[7];\nrz(x83) q[7];\nrx(x84) q[8];\nrz(x85) q[8];\nrx(x86) q[9];\nrz(x24) q[9];\nrx(x87) q[0];\nrz(x88) q[0];\nrx(x49) q[1];\nrz(x89) q[1];\nrx(x90) q[2];\nrz(x91) q[2];\nrx(x92) q[3];\nrz(x93) q[3];\nrx(x94) q[4];\nrz(x95) q[4];\nrx(x63) q[5];\nrz(x96) q[5];\nrx(x97) q[6];\nrz(x98) q[6];\nrx(x99) q[7];\nrz(x3) q[7];\nrx(x100) q[8];\nrz(x101) q[8];\nrx(x102) q[9];\nrz(x18) q[9];\ncrx(x13) q[9], q[8];\ncrx(x15) q[9], q[7];\ncrx(x6) q[9], q[6];\ncrx(x103) q[9], q[5];\ncrx(x104) q[9], q[4];\ncrx(x105) q[9], q[3];\ncrx(x106) q[9], q[2];\ncrx(x63) q[9], q[1];\ncrx(x107) q[9], q[0];\ncrx(x108) q[8], q[9];\ncrx(x15) q[8], q[7];\ncrx(x6) q[8], q[6];\ncrx(x103) q[8], q[5];\ncrx(x104) q[8], q[4];\ncrx(x105) q[8], q[3];\ncrx(x106) q[8], q[2];\ncrx(x63) q[8], q[1];\ncrx(x107) q[8], q[0];\ncrx(x108) q[7], q[9];\ncrx(x13) q[7], q[8];\ncrx(x6) q[7], q[6];\ncrx(x103) q[7], q[5];\ncrx(x104) q[7], q[4];\ncrx(x105) q[7], q[3];\ncrx(x106) q[7], q[2];\ncrx(x63) q[7], q[1];\ncrx(x107) q[7], q[0];\ncrx(x108) q[6], q[9];\ncrx(x13) q[6], q[8];\ncrx(x15) q[6], q[7];\ncrx(x103) q[6], q[5];\ncrx(x104) q[6], q[4];\ncrx(x105) q[6], q[3];\ncrx(x106) q[6], q[2];\ncrx(x63) q[6], q[1];\ncrx(x107) q[6], q[0];\ncrx(x108) q[5], q[9];\ncrx(x13) q[5], q[8];\ncrx(x15) q[5], q[7];\ncrx(x6) q[5], q[6];\ncrx(x104) q[5], q[4];\ncrx(x105) q[5], q[3];\ncrx(x106) q[5], q[2];\ncrx(x63) q[5], q[1];\ncrx(x107) q[5], q[0];\ncrx(x108) q[4], q[9];\ncrx(x13) q[4], q[8];\ncrx(x15) q[4], q[7];\ncrx(x6) q[4], q[6];\ncrx(x103) q[4], q[5];\ncrx(x105) q[4], q[3];\ncrx(x106) q[4], q[2];\ncrx(x63) q[4], q[1];\ncrx(x107) q[4], q[0];\ncrx(x108) q[3], q[9];\ncrx(x13) q[3], q[8];\ncrx(x15) q[3], q[7];\ncrx(x6) q[3], q[6];\ncrx(x103) q[3], q[5];\ncrx(x104) q[3], q[4];\ncrx(x106) q[3], q[2];\ncrx(x63) q[3], q[1];\ncrx(x107) q[3], q[0];\ncrx(x108) q[2], q[9];\ncrx(x13) q[2], q[8];\ncrx(x15) q[2], q[7];\ncrx(x6) q[2], q[6];\ncrx(x103) q[2], q[5];\ncrx(x104) q[2], q[4];\ncrx(x105) q[2], q[3];\ncrx(x63) q[2], q[1];\ncrx(x107) q[2], q[0];\ncrx(x108) q[1], q[9];\ncrx(x13) q[1], q[8];\ncrx(x15) q[1], q[7];\ncrx(x6) q[1], q[6];\ncrx(x103) q[1], q[5];\ncrx(x104) q[1], q[4];\ncrx(x105) q[1], q[3];\ncrx(x106) q[1], q[2];\ncrx(x107) q[1], q[0];\ncrx(x108) q[0], q[9];\ncrx(x13) q[0], q[8];\ncrx(x15) q[0], q[7];\ncrx(x6) q[0], q[6];\ncrx(x103) q[0], q[5];\ncrx(x104) q[0], q[4];\ncrx(x105) q[0], q[3];\ncrx(x106) q[0], q[2];\ncrx(x63) q[0], q[1];\nrx(x109) q[0];\nrz(x44) q[0];\nrx(x78) q[1];\nrz(x110) q[1];\nrx(x111) q[2];\nrz(x112) q[2];\nrx(x113) q[3];\nrz(x114) q[3];\nrx(x115) q[4];\nrz(x116) q[4];\nrx(x117) q[5];\nrz(x118) q[5];\nrx(x119) q[6];\nrz(x120) q[6];\nrx(x20) q[7];\nrz(x121) q[7];\nrx(x63) q[8];\nrz(x21) q[8];\nrx(x122) q[9];\nrz(x123) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["1fc21af19f39ef7e600197f0903292a1","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 6}]}","{\"states\": [9962, 8688], \"expectation_value\": -6.704787310236644, \"params\": [[-0.19490000000000002, -0.3861, -0.6764], [0.5467000000000001, 0.317, 0.1527]], \"bitstrings\": [\"01100100010101\", \"01111000001111\"], \"total_optimization_steps\": 210, \"probabilities\": [0.009917162103577912, 0.009917162103577917], \"optimization_time\": 44.3096559047699}","0.5 * (Z(0) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(12)) + -0.5 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(12)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(12)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(6)) + 0.33333333333333337 * (Z(2) @ Z(1)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + -0.5 * (Z(11) @ Z(6)) + -0.5 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(2)) + -0.5 * (Z(13) @ Z(4)) + -0.5 * (Z(13) @ Z(5)) + 0.5 * Z(9) + 0.33333333333333337 * Z(0) + 0.5 * Z(10) + 0.5 * Z(12) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 1.5 * Z(6) + 1.5 * Z(7) + 1.5 * Z(8) + -0.33333333333333326 * Z(1) + -0.33333333333333326 * Z(2) + 0.0 * Z(11) + -0.5 * Z(13)",1,14,3,"{\"smallest_eigenvalues\": [-8.666666666666618], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.666666666666616, \"smallest_bitstrings\": [\"01111000001111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncx q[9], q[0];\nrz(-0.1949) q[0];\ncx q[9], q[0];\ncx q[9], q[10];\nrz(-0.3898) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(-0.1949) q[10];\ncx q[0], q[10];\ncx q[9], q[12];\nrz(-0.1949) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(-0.1949) q[12];\ncx q[0], q[12];\ncx q[10], q[12];\nrz(-0.1949) q[12];\ncx q[10], q[12];\ncx q[9], q[3];\nrz(0.1949) q[3];\ncx q[9], q[3];\ncx q[0], q[3];\nrz(0.1949) q[3];\ncx q[0], q[3];\ncx q[10], q[3];\nrz(0.1949) q[3];\ncx q[10], q[3];\ncx q[12], q[3];\nrz(0.3898) q[3];\ncx q[12], q[3];\ncx q[9], q[4];\nrz(0.1949) q[4];\ncx q[9], q[4];\ncx q[0], q[4];\nrz(0.1949) q[4];\ncx q[0], q[4];\ncx q[10], q[4];\nrz(0.1949) q[4];\ncx q[10], q[4];\ncx q[12], q[4];\nrz(0.1949) q[4];\ncx q[12], q[4];\ncx q[3], q[4];\nrz(-0.1949) q[4];\ncx q[3], q[4];\ncx q[9], q[5];\nrz(0.1949) q[5];\ncx q[9], q[5];\ncx q[0], q[5];\nrz(0.1949) q[5];\ncx q[0], q[5];\ncx q[10], q[5];\nrz(0.1949) q[5];\ncx q[10], q[5];\ncx q[12], q[5];\nrz(0.1949) q[5];\ncx q[12], q[5];\ncx q[3], q[5];\nrz(-0.1949) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.3898) q[5];\ncx q[4], q[5];\ncx q[9], q[6];\nrz(0.1949) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(0.1949) q[6];\ncx q[10], q[6];\ncx q[6], q[7];\nrz(-0.1949) q[7];\ncx q[6], q[7];\ncx q[6], q[8];\nrz(-0.1949) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.1949) q[8];\ncx q[7], q[8];\ncx q[9], q[1];\nrz(0.1949) q[1];\ncx q[9], q[1];\ncx q[10], q[1];\nrz(0.1949) q[1];\ncx q[10], q[1];\ncx q[6], q[1];\nrz(-0.1949) q[1];\ncx q[6], q[1];\ncx q[9], q[2];\nrz(0.1949) q[2];\ncx q[9], q[2];\ncx q[10], q[2];\nrz(0.1949) q[2];\ncx q[10], q[2];\ncx q[6], q[2];\nrz(-0.1949) q[2];\ncx q[6], q[2];\ncx q[1], q[2];\nrz(-0.1299) q[2];\ncx q[1], q[2];\ncx q[9], q[11];\nrz(-0.1949) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.1949) q[11];\ncx q[10], q[11];\ncx q[6], q[11];\nrz(0.1949) q[11];\ncx q[6], q[11];\ncx q[1], q[11];\nrz(0.1949) q[11];\ncx q[1], q[11];\ncx q[2], q[11];\nrz(0.1949) q[11];\ncx q[2], q[11];\ncx q[4], q[13];\nrz(0.1949) q[13];\ncx q[4], q[13];\ncx q[5], q[13];\nrz(0.1949) q[13];\ncx q[5], q[13];\nrz(-0.1949) q[9];\nrz(-0.1299) q[0];\nrz(-0.1949) q[10];\nrz(-0.1949) q[12];\nrz(0.1949) q[3];\nrz(0) q[4];\nrz(0) q[5];\nrz(-0.5847) q[6];\nrz(-0.5847) q[7];\nrz(-0.5847) q[8];\nrz(0.1299) q[1];\nrz(0.1299) q[2];\nrz(0) q[11];\nrz(0.1949) q[13];\nh q[0];\nrz(1.0934) q[0];\nh q[0];\nh q[1];\nrz(1.0934) q[1];\nh q[1];\nh q[2];\nrz(1.0934) q[2];\nh q[2];\nh q[3];\nrz(1.0934) q[3];\nh q[3];\nh q[4];\nrz(1.0934) q[4];\nh q[4];\nh q[5];\nrz(1.0934) q[5];\nh q[5];\nh q[6];\nrz(1.0934) q[6];\nh q[6];\nh q[7];\nrz(1.0934) q[7];\nh q[7];\nh q[8];\nrz(1.0934) q[8];\nh q[8];\nh q[9];\nrz(1.0934) q[9];\nh q[9];\nh q[10];\nrz(1.0934) q[10];\nh q[10];\nh q[11];\nrz(1.0934) q[11];\nh q[11];\nh q[12];\nrz(1.0934) q[12];\nh q[12];\nh q[13];\nrz(1.0934) q[13];\nh q[13];\ncx q[9], q[0];\nrz(-0.3861) q[0];\ncx q[9], q[0];\ncx q[9], q[10];\nrz(-0.7722) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(-0.3861) q[10];\ncx q[0], q[10];\ncx q[9], q[12];\nrz(-0.3861) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(-0.3861) q[12];\ncx q[0], q[12];\ncx q[10], q[12];\nrz(-0.3861) q[12];\ncx q[10], q[12];\ncx q[9], q[3];\nrz(0.3861) q[3];\ncx q[9], q[3];\ncx q[0], q[3];\nrz(0.3861) q[3];\ncx q[0], q[3];\ncx q[10], q[3];\nrz(0.3861) q[3];\ncx q[10], q[3];\ncx q[12], q[3];\nrz(0.7722) q[3];\ncx q[12], q[3];\ncx q[9], q[4];\nrz(0.3861) q[4];\ncx q[9], q[4];\ncx q[0], q[4];\nrz(0.3861) q[4];\ncx q[0], q[4];\ncx q[10], q[4];\nrz(0.3861) q[4];\ncx q[10], q[4];\ncx q[12], q[4];\nrz(0.3861) q[4];\ncx q[12], q[4];\ncx q[3], q[4];\nrz(-0.3861) q[4];\ncx q[3], q[4];\ncx q[9], q[5];\nrz(0.3861) q[5];\ncx q[9], q[5];\ncx q[0], q[5];\nrz(0.3861) q[5];\ncx q[0], q[5];\ncx q[10], q[5];\nrz(0.3861) q[5];\ncx q[10], q[5];\ncx q[12], q[5];\nrz(0.3861) q[5];\ncx q[12], q[5];\ncx q[3], q[5];\nrz(-0.3861) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.7722) q[5];\ncx q[4], q[5];\ncx q[9], q[6];\nrz(0.3861) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(0.3861) q[6];\ncx q[10], q[6];\ncx q[6], q[7];\nrz(-0.3861) q[7];\ncx q[6], q[7];\ncx q[6], q[8];\nrz(-0.3861) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.3861) q[8];\ncx q[7], q[8];\ncx q[9], q[1];\nrz(0.3861) q[1];\ncx q[9], q[1];\ncx q[10], q[1];\nrz(0.3861) q[1];\ncx q[10], q[1];\ncx q[6], q[1];\nrz(-0.3861) q[1];\ncx q[6], q[1];\ncx q[9], q[2];\nrz(0.3861) q[2];\ncx q[9], q[2];\ncx q[10], q[2];\nrz(0.3861) q[2];\ncx q[10], q[2];\ncx q[6], q[2];\nrz(-0.3861) q[2];\ncx q[6], q[2];\ncx q[1], q[2];\nrz(-0.2574) q[2];\ncx q[1], q[2];\ncx q[9], q[11];\nrz(-0.3861) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.3861) q[11];\ncx q[10], q[11];\ncx q[6], q[11];\nrz(0.3861) q[11];\ncx q[6], q[11];\ncx q[1], q[11];\nrz(0.3861) q[11];\ncx q[1], q[11];\ncx q[2], q[11];\nrz(0.3861) q[11];\ncx q[2], q[11];\ncx q[4], q[13];\nrz(0.3861) q[13];\ncx q[4], q[13];\ncx q[5], q[13];\nrz(0.3861) q[13];\ncx q[5], q[13];\nrz(-0.3861) q[9];\nrz(-0.2574) q[0];\nrz(-0.3861) q[10];\nrz(-0.3861) q[12];\nrz(0.3861) q[3];\nrz(0) q[4];\nrz(0) q[5];\nrz(-1.1583) q[6];\nrz(-1.1583) q[7];\nrz(-1.1583) q[8];\nrz(0.2574) q[1];\nrz(0.2574) q[2];\nrz(0) q[11];\nrz(0.3861) q[13];\nh q[0];\nrz(0.634) q[0];\nh q[0];\nh q[1];\nrz(0.634) q[1];\nh q[1];\nh q[2];\nrz(0.634) q[2];\nh q[2];\nh q[3];\nrz(0.634) q[3];\nh q[3];\nh q[4];\nrz(0.634) q[4];\nh q[4];\nh q[5];\nrz(0.634) q[5];\nh q[5];\nh q[6];\nrz(0.634) q[6];\nh q[6];\nh q[7];\nrz(0.634) q[7];\nh q[7];\nh q[8];\nrz(0.634) q[8];\nh q[8];\nh q[9];\nrz(0.634) q[9];\nh q[9];\nh q[10];\nrz(0.634) q[10];\nh q[10];\nh q[11];\nrz(0.634) q[11];\nh q[11];\nh q[12];\nrz(0.634) q[12];\nh q[12];\nh q[13];\nrz(0.634) q[13];\nh q[13];\ncx q[9], q[0];\nrz(-0.6764) q[0];\ncx q[9], q[0];\ncx q[9], q[10];\nrz(-1.3528) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(-0.6764) q[10];\ncx q[0], q[10];\ncx q[9], q[12];\nrz(-0.6764) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(-0.6764) q[12];\ncx q[0], q[12];\ncx q[10], q[12];\nrz(-0.6764) q[12];\ncx q[10], q[12];\ncx q[9], q[3];\nrz(0.6764) q[3];\ncx q[9], q[3];\ncx q[0], q[3];\nrz(0.6764) q[3];\ncx q[0], q[3];\ncx q[10], q[3];\nrz(0.6764) q[3];\ncx q[10], q[3];\ncx q[12], q[3];\nrz(1.3528) q[3];\ncx q[12], q[3];\ncx q[9], q[4];\nrz(0.6764) q[4];\ncx q[9], q[4];\ncx q[0], q[4];\nrz(0.6764) q[4];\ncx q[0], q[4];\ncx q[10], q[4];\nrz(0.6764) q[4];\ncx q[10], q[4];\ncx q[12], q[4];\nrz(0.6764) q[4];\ncx q[12], q[4];\ncx q[3], q[4];\nrz(-0.6764) q[4];\ncx q[3], q[4];\ncx q[9], q[5];\nrz(0.6764) q[5];\ncx q[9], q[5];\ncx q[0], q[5];\nrz(0.6764) q[5];\ncx q[0], q[5];\ncx q[10], q[5];\nrz(0.6764) q[5];\ncx q[10], q[5];\ncx q[12], q[5];\nrz(0.6764) q[5];\ncx q[12], q[5];\ncx q[3], q[5];\nrz(-0.6764) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-1.3528) q[5];\ncx q[4], q[5];\ncx q[9], q[6];\nrz(0.6764) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(0.6764) q[6];\ncx q[10], q[6];\ncx q[6], q[7];\nrz(-0.6764) q[7];\ncx q[6], q[7];\ncx q[6], q[8];\nrz(-0.6764) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.6764) q[8];\ncx q[7], q[8];\ncx q[9], q[1];\nrz(0.6764) q[1];\ncx q[9], q[1];\ncx q[10], q[1];\nrz(0.6764) q[1];\ncx q[10], q[1];\ncx q[6], q[1];\nrz(-0.6764) q[1];\ncx q[6], q[1];\ncx q[9], q[2];\nrz(0.6764) q[2];\ncx q[9], q[2];\ncx q[10], q[2];\nrz(0.6764) q[2];\ncx q[10], q[2];\ncx q[6], q[2];\nrz(-0.6764) q[2];\ncx q[6], q[2];\ncx q[1], q[2];\nrz(-0.4509) q[2];\ncx q[1], q[2];\ncx q[9], q[11];\nrz(-0.6764) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.6764) q[11];\ncx q[10], q[11];\ncx q[6], q[11];\nrz(0.6764) q[11];\ncx q[6], q[11];\ncx q[1], q[11];\nrz(0.6764) q[11];\ncx q[1], q[11];\ncx q[2], q[11];\nrz(0.6764) q[11];\ncx q[2], q[11];\ncx q[4], q[13];\nrz(0.6764) q[13];\ncx q[4], q[13];\ncx q[5], q[13];\nrz(0.6764) q[13];\ncx q[5], q[13];\nrz(-0.6764) q[9];\nrz(-0.4509) q[0];\nrz(-0.6764) q[10];\nrz(-0.6764) q[12];\nrz(0.6764) q[3];\nrz(0) q[4];\nrz(0) q[5];\nrz(-2.0292) q[6];\nrz(-2.0292) q[7];\nrz(-2.0292) q[8];\nrz(0.4509) q[1];\nrz(0.4509) q[2];\nrz(0) q[11];\nrz(0.6764) q[13];\nh q[0];\nrz(0.3054) q[0];\nh q[0];\nh q[1];\nrz(0.3054) q[1];\nh q[1];\nh q[2];\nrz(0.3054) q[2];\nh q[2];\nh q[3];\nrz(0.3054) q[3];\nh q[3];\nh q[4];\nrz(0.3054) q[4];\nh q[4];\nh q[5];\nrz(0.3054) q[5];\nh q[5];\nh q[6];\nrz(0.3054) q[6];\nh q[6];\nh q[7];\nrz(0.3054) q[7];\nh q[7];\nh q[8];\nrz(0.3054) q[8];\nh q[8];\nh q[9];\nrz(0.3054) q[9];\nh q[9];\nh q[10];\nrz(0.3054) q[10];\nh q[10];\nh q[11];\nrz(0.3054) q[11];\nh q[11];\nh q[12];\nrz(0.3054) q[12];\nh q[12];\nh q[13];\nrz(0.3054) q[13];\nh q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncx q[9], q[0];\nrz(x0) q[0];\ncx q[9], q[0];\ncx q[9], q[10];\nrz(x1) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(x0) q[10];\ncx q[0], q[10];\ncx q[9], q[12];\nrz(x0) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(x0) q[12];\ncx q[0], q[12];\ncx q[10], q[12];\nrz(x0) q[12];\ncx q[10], q[12];\ncx q[9], q[3];\nrz(x2) q[3];\ncx q[9], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[10], q[3];\nrz(x2) q[3];\ncx q[10], q[3];\ncx q[12], q[3];\nrz(x3) q[3];\ncx q[12], q[3];\ncx q[9], q[4];\nrz(x2) q[4];\ncx q[9], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[10], q[4];\nrz(x2) q[4];\ncx q[10], q[4];\ncx q[12], q[4];\nrz(x2) q[4];\ncx q[12], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[9], q[5];\nrz(x2) q[5];\ncx q[9], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[10], q[5];\nrz(x2) q[5];\ncx q[10], q[5];\ncx q[12], q[5];\nrz(x2) q[5];\ncx q[12], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[9], q[6];\nrz(x2) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(x2) q[6];\ncx q[10], q[6];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\ncx q[9], q[1];\nrz(x2) q[1];\ncx q[9], q[1];\ncx q[10], q[1];\nrz(x2) q[1];\ncx q[10], q[1];\ncx q[6], q[1];\nrz(x0) q[1];\ncx q[6], q[1];\ncx q[9], q[2];\nrz(x2) q[2];\ncx q[9], q[2];\ncx q[10], q[2];\nrz(x2) q[2];\ncx q[10], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[1], q[2];\nrz(x4) q[2];\ncx q[1], q[2];\ncx q[9], q[11];\nrz(x0) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[6], q[11];\nrz(x2) q[11];\ncx q[6], q[11];\ncx q[1], q[11];\nrz(x2) q[11];\ncx q[1], q[11];\ncx q[2], q[11];\nrz(x2) q[11];\ncx q[2], q[11];\ncx q[4], q[13];\nrz(x2) q[13];\ncx q[4], q[13];\ncx q[5], q[13];\nrz(x2) q[13];\ncx q[5], q[13];\nrz(x0) q[9];\nrz(x4) q[0];\nrz(x0) q[10];\nrz(x0) q[12];\nrz(x2) q[3];\nrz(x5) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x6) q[7];\nrz(x6) q[8];\nrz(x7) q[1];\nrz(x7) q[2];\nrz(x5) q[11];\nrz(x2) q[13];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\nh q[9];\nrz(x8) q[9];\nh q[9];\nh q[10];\nrz(x8) q[10];\nh q[10];\nh q[11];\nrz(x8) q[11];\nh q[11];\nh q[12];\nrz(x8) q[12];\nh q[12];\nh q[13];\nrz(x8) q[13];\nh q[13];\ncx q[9], q[0];\nrz(x9) q[0];\ncx q[9], q[0];\ncx q[9], q[10];\nrz(x10) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(x9) q[10];\ncx q[0], q[10];\ncx q[9], q[12];\nrz(x9) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(x9) q[12];\ncx q[0], q[12];\ncx q[10], q[12];\nrz(x9) q[12];\ncx q[10], q[12];\ncx q[9], q[3];\nrz(x11) q[3];\ncx q[9], q[3];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[10], q[3];\nrz(x11) q[3];\ncx q[10], q[3];\ncx q[12], q[3];\nrz(x12) q[3];\ncx q[12], q[3];\ncx q[9], q[4];\nrz(x11) q[4];\ncx q[9], q[4];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[10], q[4];\nrz(x11) q[4];\ncx q[10], q[4];\ncx q[12], q[4];\nrz(x11) q[4];\ncx q[12], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[9], q[5];\nrz(x11) q[5];\ncx q[9], q[5];\ncx q[0], q[5];\nrz(x11) q[5];\ncx q[0], q[5];\ncx q[10], q[5];\nrz(x11) q[5];\ncx q[10], q[5];\ncx q[12], q[5];\nrz(x11) q[5];\ncx q[12], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[9], q[6];\nrz(x11) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(x11) q[6];\ncx q[10], q[6];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\ncx q[6], q[8];\nrz(x9) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x9) q[8];\ncx q[7], q[8];\ncx q[9], q[1];\nrz(x11) q[1];\ncx q[9], q[1];\ncx q[10], q[1];\nrz(x11) q[1];\ncx q[10], q[1];\ncx q[6], q[1];\nrz(x9) q[1];\ncx q[6], q[1];\ncx q[9], q[2];\nrz(x11) q[2];\ncx q[9], q[2];\ncx q[10], q[2];\nrz(x11) q[2];\ncx q[10], q[2];\ncx q[6], q[2];\nrz(x9) q[2];\ncx q[6], q[2];\ncx q[1], q[2];\nrz(x13) q[2];\ncx q[1], q[2];\ncx q[9], q[11];\nrz(x9) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x9) q[11];\ncx q[10], q[11];\ncx q[6], q[11];\nrz(x11) q[11];\ncx q[6], q[11];\ncx q[1], q[11];\nrz(x11) q[11];\ncx q[1], q[11];\ncx q[2], q[11];\nrz(x11) q[11];\ncx q[2], q[11];\ncx q[4], q[13];\nrz(x11) q[13];\ncx q[4], q[13];\ncx q[5], q[13];\nrz(x11) q[13];\ncx q[5], q[13];\nrz(x9) q[9];\nrz(x13) q[0];\nrz(x9) q[10];\nrz(x9) q[12];\nrz(x11) q[3];\nrz(x5) q[4];\nrz(x5) q[5];\nrz(x14) q[6];\nrz(x14) q[7];\nrz(x14) q[8];\nrz(x15) q[1];\nrz(x15) q[2];\nrz(x5) q[11];\nrz(x11) q[13];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nh q[6];\nrz(x16) q[6];\nh q[6];\nh q[7];\nrz(x16) q[7];\nh q[7];\nh q[8];\nrz(x16) q[8];\nh q[8];\nh q[9];\nrz(x16) q[9];\nh q[9];\nh q[10];\nrz(x16) q[10];\nh q[10];\nh q[11];\nrz(x16) q[11];\nh q[11];\nh q[12];\nrz(x16) q[12];\nh q[12];\nh q[13];\nrz(x16) q[13];\nh q[13];\ncx q[9], q[0];\nrz(x17) q[0];\ncx q[9], q[0];\ncx q[9], q[10];\nrz(x18) q[10];\ncx q[9], q[10];\ncx q[0], q[10];\nrz(x17) q[10];\ncx q[0], q[10];\ncx q[9], q[12];\nrz(x17) q[12];\ncx q[9], q[12];\ncx q[0], q[12];\nrz(x17) q[12];\ncx q[0], q[12];\ncx q[10], q[12];\nrz(x17) q[12];\ncx q[10], q[12];\ncx q[9], q[3];\nrz(x19) q[3];\ncx q[9], q[3];\ncx q[0], q[3];\nrz(x19) q[3];\ncx q[0], q[3];\ncx q[10], q[3];\nrz(x19) q[3];\ncx q[10], q[3];\ncx q[12], q[3];\nrz(x20) q[3];\ncx q[12], q[3];\ncx q[9], q[4];\nrz(x19) q[4];\ncx q[9], q[4];\ncx q[0], q[4];\nrz(x19) q[4];\ncx q[0], q[4];\ncx q[10], q[4];\nrz(x19) q[4];\ncx q[10], q[4];\ncx q[12], q[4];\nrz(x19) q[4];\ncx q[12], q[4];\ncx q[3], q[4];\nrz(x17) q[4];\ncx q[3], q[4];\ncx q[9], q[5];\nrz(x19) q[5];\ncx q[9], q[5];\ncx q[0], q[5];\nrz(x19) q[5];\ncx q[0], q[5];\ncx q[10], q[5];\nrz(x19) q[5];\ncx q[10], q[5];\ncx q[12], q[5];\nrz(x19) q[5];\ncx q[12], q[5];\ncx q[3], q[5];\nrz(x17) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x18) q[5];\ncx q[4], q[5];\ncx q[9], q[6];\nrz(x19) q[6];\ncx q[9], q[6];\ncx q[10], q[6];\nrz(x19) q[6];\ncx q[10], q[6];\ncx q[6], q[7];\nrz(x17) q[7];\ncx q[6], q[7];\ncx q[6], q[8];\nrz(x17) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x17) q[8];\ncx q[7], q[8];\ncx q[9], q[1];\nrz(x19) q[1];\ncx q[9], q[1];\ncx q[10], q[1];\nrz(x19) q[1];\ncx q[10], q[1];\ncx q[6], q[1];\nrz(x17) q[1];\ncx q[6], q[1];\ncx q[9], q[2];\nrz(x19) q[2];\ncx q[9], q[2];\ncx q[10], q[2];\nrz(x19) q[2];\ncx q[10], q[2];\ncx q[6], q[2];\nrz(x17) q[2];\ncx q[6], q[2];\ncx q[1], q[2];\nrz(x21) q[2];\ncx q[1], q[2];\ncx q[9], q[11];\nrz(x17) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x17) q[11];\ncx q[10], q[11];\ncx q[6], q[11];\nrz(x19) q[11];\ncx q[6], q[11];\ncx q[1], q[11];\nrz(x19) q[11];\ncx q[1], q[11];\ncx q[2], q[11];\nrz(x19) q[11];\ncx q[2], q[11];\ncx q[4], q[13];\nrz(x19) q[13];\ncx q[4], q[13];\ncx q[5], q[13];\nrz(x19) q[13];\ncx q[5], q[13];\nrz(x17) q[9];\nrz(x21) q[0];\nrz(x17) q[10];\nrz(x17) q[12];\nrz(x19) q[3];\nrz(x5) q[4];\nrz(x5) q[5];\nrz(x22) q[6];\nrz(x22) q[7];\nrz(x22) q[8];\nrz(x23) q[1];\nrz(x23) q[2];\nrz(x5) q[11];\nrz(x19) q[13];\nh q[0];\nrz(x24) q[0];\nh q[0];\nh q[1];\nrz(x24) q[1];\nh q[1];\nh q[2];\nrz(x24) q[2];\nh q[2];\nh q[3];\nrz(x24) q[3];\nh q[3];\nh q[4];\nrz(x24) q[4];\nh q[4];\nh q[5];\nrz(x24) q[5];\nh q[5];\nh q[6];\nrz(x24) q[6];\nh q[6];\nh q[7];\nrz(x24) q[7];\nh q[7];\nh q[8];\nrz(x24) q[8];\nh q[8];\nh q[9];\nrz(x24) q[9];\nh q[9];\nh q[10];\nrz(x24) q[10];\nh q[10];\nh q[11];\nrz(x24) q[11];\nh q[11];\nh q[12];\nrz(x24) q[12];\nh q[12];\nh q[13];\nrz(x24) q[13];\nh q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["b4844a241e7c75ea7eb690acd3c4c004","hamiltonian_path","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 14, \"source\": 0, \"target\": 2}, {\"weight\": 7, \"source\": 1, \"target\": 2}]}","{\"states\": [1, 0], \"expectation_value\": -0.014825582499586265, \"params\": [[0.030000000000000002, 0.052000000000000005], [-0.0196, -0.038200000000000005]], \"bitstrings\": [\"0\", \"1\"], \"total_optimization_steps\": 10, \"probabilities\": [0.4925872087502066, 0.5074127912497929], \"optimization_time\": 0.9449834823608398}","-1.0 * Z(0)",5,1,2,"{\"smallest_eigenvalues\": [-1.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": 1.0, \"smallest_bitstrings\": [\"1\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nrz(-0.06) q[0];\nh q[0];\nrz(-0.0392) q[0];\nh q[0];\nrz(-0.104) q[0];\nh q[0];\nrz(-0.0764) q[0];\nh q[0];\nc[0] = measure q[0];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[1] c;\nqubit[1] q;\nh q[0];\nrz(x0) q[0];\nh q[0];\nrz(x1) q[0];\nh q[0];\nrz(x2) q[0];\nh q[0];\nrz(x3) q[0];\nh q[0];\nc[0] = measure q[0];","{\"start_node\": 0, \"end_node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["fc7b19754949f0e05a27875fb69f344a","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 2, \"target\": 3}]}","{\"states\": [15, 31], \"expectation_value\": -21.14207965195293, \"params\": [-0.0024000000000000002, 0.006200000000000001, -0.0024000000000000002, 0.003, -0.0025, 0.0027, 1.6591, 0.0081, 3.1444, 0.0039000000000000003, 3.1438, 0.0034000000000000002, -2.9203, 0.0037, -2.7851000000000004, 0.0014, 0.008700000000000001, 0.0047, 0.008, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0.0058000000000000005, 0.0054], \"bitstrings\": [\"11110000\", \"11100000\"], \"total_optimization_steps\": 470, \"probabilities\": [0.43619315758254407, 0.5205502675841287], \"optimization_time\": 40.67907738685608}","2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(3) + 13.5 * Z(5) + -1.5 * Z(6) + -3.0 * Z(7) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2)",18,8,1,"{\"smallest_eigenvalues\": [-22.125], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.125, \"smallest_bitstrings\": [\"11100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-0.0024) q[0];\nrz(0.0062) q[0];\nrx(-0.0024) q[1];\nrz(0.003) q[1];\nrx(-0.0025) q[2];\nrz(0.0027) q[2];\nrx(1.6591) q[3];\nrz(0.0081) q[3];\nrx(3.1444) q[4];\nrz(0.0039) q[4];\nrx(3.1438) q[5];\nrz(0.0034) q[5];\nrx(-2.9203) q[6];\nrz(0.0037) q[6];\nrx(-2.7851) q[7];\nrz(0.0014) q[7];\ncrz(0.0087) q[7], q[0];\ncrz(0.0054) q[6], q[7];\ncrz(0.0058) q[5], q[6];\ncrz(0.0072) q[4], q[5];\ncrz(0.0068) q[3], q[4];\ncrz(0.0052) q[2], q[3];\ncrz(0.008) q[1], q[2];\ncrz(0.0047) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x0) q[1];\nrz(x2) q[1];\nrx(x3) q[2];\nrz(x4) q[2];\nrx(x5) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\ncrz(x15) q[7], q[0];\ncrz(x16) q[6], q[7];\ncrz(x17) q[5], q[6];\ncrz(x18) q[4], q[5];\ncrz(x19) q[3], q[4];\ncrz(x20) q[2], q[3];\ncrz(x21) q[1], q[2];\ncrz(x22) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 3}","{\"circuits\": [], \"gradients\": []}"]
["3179afe1dc957b5c6c41286c03203dc8","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [25, 38], \"expectation_value\": -0.2790835992701864, \"params\": [[0.0687, -0.0018000000000000002], [-0.07060000000000001, -0.0286]], \"bitstrings\": [\"1100110\", \"1011001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009217440050901537, 0.009439660596994873], \"optimization_time\": 2.9710915088653564}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4)",1,7,2,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1101001\", \"1011001\", \"1100110\", \"0101011\", \"1100101\", \"0100111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.0687) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(0.0687) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(0.0687) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0687) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(0.0687) q[6];\ncx q[5], q[6];\ncx q[1], q[2];\nrz(0.0687) q[2];\ncx q[1], q[2];\ncx q[1], q[3];\nrz(0.0687) q[3];\ncx q[1], q[3];\ncx q[6], q[4];\nrz(0.0687) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.0687) q[4];\ncx q[3], q[4];\nrz(-0.2061) q[1];\nrz(-0.1374) q[0];\nrz(-0.0687) q[5];\nrz(-0.2061) q[6];\nrz(0) q[2];\nrz(-0.0687) q[3];\nrz(-0.0687) q[4];\nh q[0];\nrz(-0.1412) q[0];\nh q[0];\nh q[1];\nrz(-0.1412) q[1];\nh q[1];\nh q[2];\nrz(-0.1412) q[2];\nh q[2];\nh q[3];\nrz(-0.1412) q[3];\nh q[3];\nh q[4];\nrz(-0.1412) q[4];\nh q[4];\nh q[5];\nrz(-0.1412) q[5];\nh q[5];\nh q[6];\nrz(-0.1412) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0018) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(-0.0018) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(-0.0018) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0018) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(-0.0018) q[6];\ncx q[5], q[6];\ncx q[1], q[2];\nrz(-0.0018) q[2];\ncx q[1], q[2];\ncx q[1], q[3];\nrz(-0.0018) q[3];\ncx q[1], q[3];\ncx q[6], q[4];\nrz(-0.0018) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(-0.0018) q[4];\ncx q[3], q[4];\nrz(0.0054) q[1];\nrz(0.0036) q[0];\nrz(0.0018) q[5];\nrz(0.0054) q[6];\nrz(0) q[2];\nrz(0.0018) q[3];\nrz(0.0018) q[4];\nh q[0];\nrz(-0.0572) q[0];\nh q[0];\nh q[1];\nrz(-0.0572) q[1];\nh q[1];\nh q[2];\nrz(-0.0572) q[2];\nh q[2];\nh q[3];\nrz(-0.0572) q[3];\nh q[3];\nh q[4];\nrz(-0.0572) q[4];\nh q[4];\nh q[5];\nrz(-0.0572) q[5];\nh q[5];\nh q[6];\nrz(-0.0572) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[5];\nrz(x1) q[6];\nrz(x4) q[2];\nrz(x3) q[3];\nrz(x3) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x6) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x6) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[6], q[4];\nrz(x6) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\nrz(x7) q[1];\nrz(x8) q[0];\nrz(x9) q[5];\nrz(x7) q[6];\nrz(x4) q[2];\nrz(x9) q[3];\nrz(x9) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["3a47978bfb976fd6248810daacdb4903","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 1}]}","{\"states\": [564, 596], \"expectation_value\": -3.151139904865957, \"params\": [0.8027000000000001, 0.0007, 0.0026000000000000003, 0.5776, 0.0023, -0.46730000000000005, 0.8003, 0.4521, 0.8066, 0.3633, 0.8014, -0.0081, 0.0013000000000000002, 0.4088, 0.8042, 0.5979, 0.8032, 0.7162000000000001, 0.0028, 0.6058, 0.8032, 0.0082, 0.0026000000000000003, 0.0045000000000000005, 0.0023, 0.0036000000000000003, 0.8008000000000001, 0.0074, 0.8028000000000001, 0.0094, 0.8003, 0.0038, 0.0013000000000000002, 0.009000000000000001, 0.7987000000000001, 0.0024000000000000002, 0.7986000000000001, 0.0049, 0.0028, 0.0036000000000000003, -0.5939, 0.012, -0.5701, 0.4454, 0.5191, 0.2671, 0.0134, -0.4359, 0.7507, -0.6957, 0.003, 0.0089, 0.0035, 0.0074, 0.0056, 0.002, 0.0055000000000000005, 0.005200000000000001, 0.0035, 0.0002], \"bitstrings\": [\"0111001011\", \"0110101011\"], \"total_optimization_steps\": 80, \"probabilities\": [0.02521448380978644, 0.02653368395430667], \"optimization_time\": 7.7923619747161865}","-0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + -0.16666666666666666 * (Z(1) @ Z(2)) + 1.0 * Z(3) + -2.0 * Z(9) + 1.0 * Z(4) + 2.0 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + 0.8333333333333334 * Z(0) + -0.3333333333333333 * Z(2) + -0.3333333333333333 * Z(1)",18,10,2,"{\"smallest_eigenvalues\": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"0110101011\", \"0110000000\", \"0110101101\", \"0110010001\", \"0111001011\", \"0111001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.8027) q[0];\nrz(0.0007) q[0];\nrx(0.0026) q[1];\nrz(0.5776) q[1];\nrx(0.0023) q[2];\nrz(-0.4673) q[2];\nrx(0.8003) q[3];\nrz(0.4521) q[3];\nrx(0.8066) q[4];\nrz(0.3633) q[4];\nrx(0.8014) q[5];\nrz(-0.0081) q[5];\nrx(0.0013) q[6];\nrz(0.4088) q[6];\nrx(0.8042) q[7];\nrz(0.5979) q[7];\nrx(0.8032) q[8];\nrz(0.7162) q[8];\nrx(0.0028) q[9];\nrz(0.6058) q[9];\ncrz(-0.5939) q[9], q[0];\ncrz(-0.6957) q[8], q[9];\ncrz(0.7507) q[7], q[8];\ncrz(-0.4359) q[6], q[7];\ncrz(0.0134) q[5], q[6];\ncrz(0.2671) q[4], q[5];\ncrz(0.5191) q[3], q[4];\ncrz(0.4454) q[2], q[3];\ncrz(-0.5701) q[1], q[2];\ncrz(0.012) q[0], q[1];\nrx(0.8032) q[0];\nrz(0.0082) q[0];\nrx(0.0026) q[1];\nrz(0.0045) q[1];\nrx(0.0023) q[2];\nrz(0.0036) q[2];\nrx(0.8008) q[3];\nrz(0.0074) q[3];\nrx(0.8028) q[4];\nrz(0.0094) q[4];\nrx(0.8003) q[5];\nrz(0.0038) q[5];\nrx(0.0013) q[6];\nrz(0.009) q[6];\nrx(0.7987) q[7];\nrz(0.0024) q[7];\nrx(0.7986) q[8];\nrz(0.0049) q[8];\nrx(0.0028) q[9];\nrz(0.0036) q[9];\ncrz(0.003) q[9], q[0];\ncrz(0.0002) q[8], q[9];\ncrz(0.0035) q[7], q[8];\ncrz(0.0052) q[6], q[7];\ncrz(0.0055) q[5], q[6];\ncrz(0.002) q[4], q[5];\ncrz(0.0056) q[3], q[4];\ncrz(0.0074) q[2], q[3];\ncrz(0.0035) q[1], q[2];\ncrz(0.0089) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[9], q[0];\ncrz(x21) q[8], q[9];\ncrz(x22) q[7], q[8];\ncrz(x23) q[6], q[7];\ncrz(x24) q[5], q[6];\ncrz(x25) q[4], q[5];\ncrz(x26) q[3], q[4];\ncrz(x27) q[2], q[3];\ncrz(x28) q[1], q[2];\ncrz(x29) q[0], q[1];\nrx(x16) q[0];\nrz(x30) q[0];\nrx(x2) q[1];\nrz(x31) q[1];\nrx(x4) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x6) q[5];\nrz(x37) q[5];\nrx(x12) q[6];\nrz(x38) q[6];\nrx(x39) q[7];\nrz(x40) q[7];\nrx(x41) q[8];\nrz(x42) q[8];\nrx(x18) q[9];\nrz(x32) q[9];\ncrz(x43) q[9], q[0];\ncrz(x44) q[8], q[9];\ncrz(x45) q[7], q[8];\ncrz(x46) q[6], q[7];\ncrz(x47) q[5], q[6];\ncrz(x48) q[4], q[5];\ncrz(x49) q[3], q[4];\ncrz(x34) q[2], q[3];\ncrz(x45) q[1], q[2];\ncrz(x50) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["fcba12f78dbb04a944afdfe31d032329","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 1, \"source\": 6, \"target\": 2}, {\"capacity\": 1, \"source\": 6, \"target\": 5}, {\"capacity\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [1, 65], \"expectation_value\": -0.5029111055223612, \"params\": [[-0.0284, -0.0256, -0.0427, -0.0323], [0.0244, 0.0105, 0.0327, 0.0325]], \"bitstrings\": [\"11111110\", \"10111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006081206756289994, 0.006286705927576715], \"optimization_time\": 14.072065830230713}","-0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 0.25 * Z(6) + 0.5 * Z(1) + 1.0 * Z(7) + 0.0 * Z(2) + -1.0 * Z(5)",1,8,4,"{\"smallest_eigenvalues\": [-9.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.5, \"smallest_bitstrings\": [\"10111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(0.0284) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.0284) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0284) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(0.0284) q[6];\ncx q[0], q[6];\ncx q[3], q[1];\nrz(0.0142) q[1];\ncx q[3], q[1];\ncx q[0], q[7];\nrz(-0.0994) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.0142) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(0.0142) q[7];\ncx q[1], q[7];\ncx q[3], q[2];\nrz(0.0142) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0426) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(0.0142) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(0.0142) q[2];\ncx q[7], q[2];\ncx q[3], q[5];\nrz(0.0284) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0142) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0142) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(0.0568) q[5];\ncx q[2], q[5];\nrz(0) q[3];\nrz(0.0142) q[0];\nrz(0.0284) q[4];\nrz(-0.0142) q[6];\nrz(-0.0284) q[1];\nrz(-0.0568) q[7];\nrz(0) q[2];\nrz(0.0568) q[5];\nh q[0];\nrz(0.0488) q[0];\nh q[0];\nh q[1];\nrz(0.0488) q[1];\nh q[1];\nh q[2];\nrz(0.0488) q[2];\nh q[2];\nh q[3];\nrz(0.0488) q[3];\nh q[3];\nh q[4];\nrz(0.0488) q[4];\nh q[4];\nh q[5];\nrz(0.0488) q[5];\nh q[5];\nh q[6];\nrz(0.0488) q[6];\nh q[6];\nh q[7];\nrz(0.0488) q[7];\nh q[7];\ncx q[3], q[0];\nrz(0.0256) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.0256) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0256) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(0.0256) q[6];\ncx q[0], q[6];\ncx q[3], q[1];\nrz(0.0128) q[1];\ncx q[3], q[1];\ncx q[0], q[7];\nrz(-0.0896) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.0128) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(0.0128) q[7];\ncx q[1], q[7];\ncx q[3], q[2];\nrz(0.0128) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0384) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(0.0128) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(0.0128) q[2];\ncx q[7], q[2];\ncx q[3], q[5];\nrz(0.0256) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0128) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0128) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(0.0512) q[5];\ncx q[2], q[5];\nrz(0) q[3];\nrz(0.0128) q[0];\nrz(0.0256) q[4];\nrz(-0.0128) q[6];\nrz(-0.0256) q[1];\nrz(-0.0512) q[7];\nrz(0) q[2];\nrz(0.0512) q[5];\nh q[0];\nrz(0.021) q[0];\nh q[0];\nh q[1];\nrz(0.021) q[1];\nh q[1];\nh q[2];\nrz(0.021) q[2];\nh q[2];\nh q[3];\nrz(0.021) q[3];\nh q[3];\nh q[4];\nrz(0.021) q[4];\nh q[4];\nh q[5];\nrz(0.021) q[5];\nh q[5];\nh q[6];\nrz(0.021) q[6];\nh q[6];\nh q[7];\nrz(0.021) q[7];\nh q[7];\ncx q[3], q[0];\nrz(0.0427) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.0427) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0427) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(0.0427) q[6];\ncx q[0], q[6];\ncx q[3], q[1];\nrz(0.0214) q[1];\ncx q[3], q[1];\ncx q[0], q[7];\nrz(-0.1494) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.0214) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(0.0214) q[7];\ncx q[1], q[7];\ncx q[3], q[2];\nrz(0.0214) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.064) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(0.0214) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(0.0214) q[2];\ncx q[7], q[2];\ncx q[3], q[5];\nrz(0.0427) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0214) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0214) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(0.0854) q[5];\ncx q[2], q[5];\nrz(0) q[3];\nrz(0.0214) q[0];\nrz(0.0427) q[4];\nrz(-0.0214) q[6];\nrz(-0.0427) q[1];\nrz(-0.0854) q[7];\nrz(0) q[2];\nrz(0.0854) q[5];\nh q[0];\nrz(0.0654) q[0];\nh q[0];\nh q[1];\nrz(0.0654) q[1];\nh q[1];\nh q[2];\nrz(0.0654) q[2];\nh q[2];\nh q[3];\nrz(0.0654) q[3];\nh q[3];\nh q[4];\nrz(0.0654) q[4];\nh q[4];\nh q[5];\nrz(0.0654) q[5];\nh q[5];\nh q[6];\nrz(0.0654) q[6];\nh q[6];\nh q[7];\nrz(0.0654) q[7];\nh q[7];\ncx q[3], q[0];\nrz(0.0323) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.0323) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0323) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(0.0323) q[6];\ncx q[0], q[6];\ncx q[3], q[1];\nrz(0.0162) q[1];\ncx q[3], q[1];\ncx q[0], q[7];\nrz(-0.1131) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.0162) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(0.0162) q[7];\ncx q[1], q[7];\ncx q[3], q[2];\nrz(0.0162) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0485) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(0.0162) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(0.0162) q[2];\ncx q[7], q[2];\ncx q[3], q[5];\nrz(0.0323) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0162) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0162) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(0.0646) q[5];\ncx q[2], q[5];\nrz(0) q[3];\nrz(0.0162) q[0];\nrz(0.0323) q[4];\nrz(-0.0162) q[6];\nrz(-0.0323) q[1];\nrz(-0.0646) q[7];\nrz(0) q[2];\nrz(0.0646) q[5];\nh q[0];\nrz(0.065) q[0];\nh q[0];\nh q[1];\nrz(0.065) q[1];\nh q[1];\nh q[2];\nrz(0.065) q[2];\nh q[2];\nh q[3];\nrz(0.065) q[3];\nh q[3];\nh q[4];\nrz(0.065) q[4];\nh q[4];\nh q[5];\nrz(0.065) q[5];\nh q[5];\nh q[6];\nrz(0.065) q[6];\nh q[6];\nh q[7];\nrz(0.065) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[0], q[7];\nrz(x2) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x3) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x1) q[2];\ncx q[7], q[2];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(x4) q[5];\ncx q[2], q[5];\nrz(x5) q[3];\nrz(x1) q[0];\nrz(x0) q[4];\nrz(x6) q[6];\nrz(x7) q[1];\nrz(x8) q[7];\nrz(x5) q[2];\nrz(x4) q[5];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x10) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(x10) q[6];\ncx q[0], q[6];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[0], q[7];\nrz(x12) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x11) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(x11) q[7];\ncx q[1], q[7];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x13) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x11) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x11) q[2];\ncx q[7], q[2];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x11) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x11) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(x14) q[5];\ncx q[2], q[5];\nrz(x5) q[3];\nrz(x11) q[0];\nrz(x10) q[4];\nrz(x15) q[6];\nrz(x16) q[1];\nrz(x17) q[7];\nrz(x5) q[2];\nrz(x14) q[5];\nh q[0];\nrz(x18) q[0];\nh q[0];\nh q[1];\nrz(x18) q[1];\nh q[1];\nh q[2];\nrz(x18) q[2];\nh q[2];\nh q[3];\nrz(x18) q[3];\nh q[3];\nh q[4];\nrz(x18) q[4];\nh q[4];\nh q[5];\nrz(x18) q[5];\nh q[5];\nh q[6];\nrz(x18) q[6];\nh q[6];\nh q[7];\nrz(x18) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x19) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x19) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x19) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(x19) q[6];\ncx q[0], q[6];\ncx q[3], q[1];\nrz(x20) q[1];\ncx q[3], q[1];\ncx q[0], q[7];\nrz(x21) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(x20) q[7];\ncx q[1], q[7];\ncx q[3], q[2];\nrz(x20) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x22) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x20) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x20) q[2];\ncx q[7], q[2];\ncx q[3], q[5];\nrz(x19) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x20) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(x23) q[5];\ncx q[2], q[5];\nrz(x5) q[3];\nrz(x20) q[0];\nrz(x19) q[4];\nrz(x24) q[6];\nrz(x25) q[1];\nrz(x26) q[7];\nrz(x5) q[2];\nrz(x23) q[5];\nh q[0];\nrz(x27) q[0];\nh q[0];\nh q[1];\nrz(x27) q[1];\nh q[1];\nh q[2];\nrz(x27) q[2];\nh q[2];\nh q[3];\nrz(x27) q[3];\nh q[3];\nh q[4];\nrz(x27) q[4];\nh q[4];\nh q[5];\nrz(x27) q[5];\nh q[5];\nh q[6];\nrz(x27) q[6];\nh q[6];\nh q[7];\nrz(x27) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x28) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x28) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x28) q[4];\ncx q[0], q[4];\ncx q[0], q[6];\nrz(x28) q[6];\ncx q[0], q[6];\ncx q[3], q[1];\nrz(x29) q[1];\ncx q[3], q[1];\ncx q[0], q[7];\nrz(x30) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x29) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(x29) q[7];\ncx q[1], q[7];\ncx q[3], q[2];\nrz(x29) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x31) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x29) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x29) q[2];\ncx q[7], q[2];\ncx q[3], q[5];\nrz(x28) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x29) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x29) q[5];\ncx q[6], q[5];\ncx q[2], q[5];\nrz(x32) q[5];\ncx q[2], q[5];\nrz(x5) q[3];\nrz(x29) q[0];\nrz(x28) q[4];\nrz(x33) q[6];\nrz(x34) q[1];\nrz(x35) q[7];\nrz(x5) q[2];\nrz(x32) q[5];\nh q[0];\nrz(x36) q[0];\nh q[0];\nh q[1];\nrz(x36) q[1];\nh q[1];\nh q[2];\nrz(x36) q[2];\nh q[2];\nh q[3];\nrz(x36) q[3];\nh q[3];\nh q[4];\nrz(x36) q[4];\nh q[4];\nh q[5];\nrz(x36) q[5];\nh q[5];\nh q[6];\nrz(x36) q[6];\nh q[6];\nh q[7];\nrz(x36) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["a8af5a844c6b7264f669c1b8b9005a26","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 6, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 6, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 6, \"source\": 5, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 4}, {\"capacity\": 6, \"source\": 7, \"target\": 2}, {\"capacity\": 3, \"source\": 7, \"target\": 8}]}","{\"states\": [123, 127], \"expectation_value\": -9.535691942848088, \"params\": null, \"bitstrings\": [\"110000100\", \"110000000\"], \"total_optimization_steps\": 58, \"probabilities\": [0.39358510964877785, 0.39358510964877785], \"optimization_time\": 69.41159009933472}","0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.5 * Z(6) + 2.5 * Z(5) + 2.25 * Z(7)",1,9,2,"{\"smallest_eigenvalues\": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -8.75, \"smallest_bitstrings\": [\"100000100\", \"100000000\", \"110011100\", \"110000100\", \"110000000\", \"110010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.57) q[1];\nry(1.5708) q[7];\ncry(1.5706) q[8], q[2];\ncry(1.5681) q[7], q[5];\ncry(1.5486) q[5], q[3];\ncry(1.4449) q[5], q[4];\ncry(-1.0342) q[2], q[0];\nry(0.3867) q[8];\nry(0.2115) q[2];\ncry(0.78) q[2], q[8];\ncry(-0.5022) q[8], q[0];\ncry(-0.2373) q[0], q[8];\ncry(0.1188) q[7], q[4];\ncry(0.0392) q[3], q[8];\ncry(-0.0515) q[7], q[0];\ncry(0.0121) q[3], q[2];\nry(0.0221) q[3];\ncry(0.0117) q[4], q[8];\ncry(0.0014) q[4], q[5];\ncry(-0.0063) q[5], q[0];\ncry(0.0042) q[4], q[2];\ncry(0.0001) q[8], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"source\": 0, \"sink\": 8}",{"$cut":{"chars":41926,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.57) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.57) q[1];\\nry(1.5708) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.57) q[1];\\nry(1.5708) q[7];\\ncry(1.5706) q[8], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.57) q[1];\\nry(1.5708) q[7];\\ncry(1.5706) q[8], q[2];\\ncry(1.5681) q[7], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.57) q[1];\\nry(1.5708) q[7];\\ncry(1.5706) q[8], q[2];\\ncry(1.5681) q[7], q[5];\\ncry(1.5486) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.57) q[1];\\nry(1.5708) q[7];\\ncry(1.5706) q[8], q[2];\\ncry(1.5681) q[7], q[5];\\ncry(1.5486) q[5], q[3];\\ncry(1.4449) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.57) q[1];\\nry(1.5708) q[7];\\ncry(1.5706) q[8], q[2];\\ncry(1.5681) q[7], q[5];\\ncry(1.5486) q[5], q[3];\\ncry(1.4449) q[5], q[4];\\ncry(-1.0342) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.57) q[1];\\nry(1.5708) q[7];\\ncry(1.5706) q[8], q[2];\\ncry(1.5681) q[7], q[5];\\ncry(1.5486) q[5], q[3];\\ncry(1.4449) q[5], q[4];\\ncry(-1.0342) q[2], q[0];\\nry(0.3867) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.57) q[1];\\nry(1.5708) q[7];\\ncry(1.5706) q[8], q[2];\\ncry(1.5681) q[7], q[5];\\ncry(1.5486) q[5], q[3];\\ncry(1.4449) q[5], q[4];\\ncry(-1.0342) q[2], q[0];\\nry(0.3867) q[8];\\nry(0.2115) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = me"}}]
["e1d1d966936db8b0a168f391b43f0ca9","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 6}, {\"weight\": 11, \"source\": 0, \"target\": 10}, {\"weight\": 3, \"source\": 1, \"target\": 7}, {\"weight\": 10, \"source\": 2, \"target\": 8}, {\"weight\": 7, \"source\": 3, \"target\": 9}, {\"weight\": 11, \"source\": 3, \"target\": 6}, {\"weight\": 15, \"source\": 3, \"target\": 7}, {\"weight\": 4, \"source\": 4, \"target\": 10}, {\"weight\": 12, \"source\": 4, \"target\": 12}, {\"weight\": 16, \"source\": 4, \"target\": 9}, {\"weight\": 3, \"source\": 5, \"target\": 11}]}","{\"states\": [1130, 1126], \"expectation_value\": -111.91853017957763, \"params\": [[0.9794, -0.06810000000000001, -0.0088, -0.0009000000000000001, 0.42710000000000004, 0.5885, -0.0027, 0.5826, 0.28600000000000003, 1.1789, -0.0027], [0.9559000000000001, -0.0468, 0.0012000000000000001, -0.0024000000000000002, 1.3522, 1.3743, 0.0016, -0.3729, 0.6853, 1.3562, -0.0026000000000000003], [0.8867, 0.3184, -0.0, -0.0023, -0.21680000000000002, -0.0227, -0.0019, 1.139, -0.9122, 0.30210000000000004, -0.0026000000000000003], [0.32320000000000004, 0.3191, -0.0017000000000000001, -0.0037, 1.3607, 1.2166000000000001, 0.003, 1.0195, 0.3255, 0.5916, -0.0026000000000000003]], \"bitstrings\": [\"01110010101\", \"01110011001\"], \"total_optimization_steps\": 330, \"probabilities\": [0.47279728212217687, 0.5091068081747127], \"optimization_time\": 107.28726053237915}","7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 5.5 * Z(0) + 15.0 * Z(5) + -6.0 * Z(2) + 11.0 * Z(6) + 13.0 * Z(4) + 15.5 * Z(9) + 9.5 * Z(7) + 6.0 * Z(8) + -10.0 * Z(3) + -13.5 * Z(10)",10,11,3,"{\"smallest_eigenvalues\": [-116.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -108.0, \"smallest_bitstrings\": [\"01110011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.9794) q[0];\nry(-0.0681) q[1];\nry(-0.0088) q[2];\nry(-0.0009) q[3];\nry(0.4271) q[4];\nry(0.5885) q[5];\nry(-0.0027) q[6];\nry(0.5826) q[7];\nry(0.286) q[8];\nry(1.1789) q[9];\nry(-0.0027) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.9559) q[0];\nry(-0.0468) q[1];\nry(0.0012) q[2];\nry(-0.0024) q[3];\nry(1.3522) q[4];\nry(1.3743) q[5];\nry(0.0016) q[6];\nry(-0.3729) q[7];\nry(0.6853) q[8];\nry(1.3562) q[9];\nry(-0.0026) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.8867) q[0];\nry(0.3184) q[1];\nry(0) q[2];\nry(-0.0023) q[3];\nry(-0.2168) q[4];\nry(-0.0227) q[5];\nry(-0.0019) q[6];\nry(1.139) q[7];\nry(-0.9122) q[8];\nry(0.3021) q[9];\nry(-0.0026) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.3232) q[0];\nry(0.3191) q[1];\nry(-0.0017) q[2];\nry(-0.0037) q[3];\nry(1.3607) q[4];\nry(1.2166) q[5];\nry(0.003) q[6];\nry(1.0195) q[7];\nry(0.3255) q[8];\nry(0.5916) q[9];\nry(-0.0026) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x6) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x17) q[7];\nry(x18) q[8];\nry(x19) q[9];\nry(x20) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x26) q[5];\nry(x27) q[6];\nry(x28) q[7];\nry(x29) q[8];\nry(x30) q[9];\nry(x20) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x31) q[0];\nry(x32) q[1];\nry(x33) q[2];\nry(x34) q[3];\nry(x35) q[4];\nry(x36) q[5];\nry(x37) q[6];\nry(x38) q[7];\nry(x39) q[8];\nry(x40) q[9];\nry(x20) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10, 11, 12, 13]}\"}","{\"circuits\": [], \"gradients\": []}"]
["fd9320956c214e5ba4d50c0bb63f5f4a","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}, {\"id\": 13}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 7, \"target\": 10}, {\"source\": 7, \"target\": 11}, {\"source\": 7, \"target\": 13}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 8, \"target\": 13}, {\"source\": 9, \"target\": 11}, {\"source\": 9, \"target\": 12}, {\"source\": 10, \"target\": 11}, {\"source\": 11, \"target\": 12}, {\"source\": 11, \"target\": 13}]}","{\"states\": [0, 8128], \"expectation_value\": -70.13603590519821, \"params\": [[[0.0027, 0.0009000000000000001], [-0.0026000000000000003, 0.006900000000000001], [0.0027, 0.0079], [0.0027, 0.0038], [-0.0027, 0.0047], [0.0023, 0.0051], [1.6098000000000001, 0.0032], [0.0021000000000000003, 0.0046], [0.0024000000000000002, 0.0077], [0.0022, 0.0067], [0.0022, 0.0068000000000000005], [0.0027, 0.008400000000000001], [0.0026000000000000003, 0.0023]]], \"bitstrings\": [\"1111111111111\", \"0000000111111\"], \"total_optimization_steps\": 160, \"probabilities\": [0.4804812229998089, 0.5195002146658337], \"optimization_time\": 5.083025217056274}","-3.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.5 * (Z(2) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(3)) + -3.5 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(2)) + -3.5 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(4)) + -3.5 * (Z(7) @ Z(8)) + 1.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(7)) + -3.5 * (Z(10) @ Z(8)) + 2.0 * (Z(10) @ Z(7)) + -3.5 * (Z(10) @ Z(9)) + 1.5 * (Z(12) @ Z(8)) + -3.0 * (Z(12) @ Z(7)) + 1.5 * (Z(12) @ Z(9)) + -3.5 * (Z(12) @ Z(10)) + -2.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + -3.0 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -3.0 * Z(8) + -2.5 * Z(7) + -2.5 * Z(9) + -3.0 * Z(10) + -2.5 * Z(12) + 1.5 * Z(11)",2,13,1,"{\"smallest_eigenvalues\": [-73.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -68.5, \"smallest_bitstrings\": [\"0000000111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nrx(0.0027) q[0];\nrz(0.0009) q[0];\nrx(-0.0026) q[1];\nrz(0.0069) q[1];\nrx(0.0027) q[2];\nrz(0.0079) q[2];\nrx(0.0027) q[3];\nrz(0.0038) q[3];\nrx(-0.0027) q[4];\nrz(0.0047) q[4];\nrx(0.0023) q[5];\nrz(0.0051) q[5];\nrx(1.6098) q[6];\nrz(0.0032) q[6];\nrx(0.0021) q[7];\nrz(0.0046) q[7];\nrx(0.0024) q[8];\nrz(0.0077) q[8];\nrx(0.0022) q[9];\nrz(0.0067) q[9];\nrx(0.0022) q[10];\nrz(0.0068) q[10];\nrx(0.0027) q[11];\nrz(0.0084) q[11];\nrx(0.0026) q[12];\nrz(0.0023) q[12];\ncx q[12], q[11];\ncx q[11], q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x0) q[2];\nrz(x4) q[2];\nrx(x0) q[3];\nrz(x5) q[3];\nrx(x6) q[4];\nrz(x7) q[4];\nrx(x8) q[5];\nrz(x9) q[5];\nrx(x10) q[6];\nrz(x11) q[6];\nrx(x12) q[7];\nrz(x13) q[7];\nrx(x14) q[8];\nrz(x15) q[8];\nrx(x16) q[9];\nrz(x17) q[9];\nrx(x16) q[10];\nrz(x18) q[10];\nrx(x0) q[11];\nrz(x19) q[11];\nrx(x20) q[12];\nrz(x8) q[12];\ncx q[12], q[11];\ncx q[11], q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","{\"node\": 7}","{\"circuits\": [], \"gradients\": []}"]
["17639781641b88f9ffa836608d3b637d","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 2}, {\"weight\": 17, \"source\": 1, \"target\": 5}, {\"weight\": 13, \"source\": 1, \"target\": 2}, {\"weight\": 13, \"source\": 1, \"target\": 6}, {\"weight\": 20, \"source\": 1, \"target\": 3}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 5, \"source\": 4, \"target\": 5}]}","{\"states\": [248, 124], \"expectation_value\": -13.924386196481894, \"params\": [[-0.0257], [0.0791]], \"bitstrings\": [\"00000111\", \"10000011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0066068306477848025, 0.00723649500237222], \"optimization_time\": 3.0650856494903564}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 11.5 * Z(1) + 15.0 * Z(0) + 22.5 * Z(2) + 20.5 * Z(4) + 14.5 * Z(5) + 22.0 * Z(3) + 5.5 * Z(6) + -1.5 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-80.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -73.0, \"smallest_bitstrings\": [\"10000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2056) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2056) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2056) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(-0.2056) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2056) q[4];\ncx q[2], q[4];\ncx q[0], q[5];\nrz(-0.2056) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2056) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.2056) q[5];\ncx q[4], q[5];\ncx q[0], q[3];\nrz(-0.2056) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2056) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.2056) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.2056) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(-0.2056) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.2056) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.2056) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(-0.2056) q[7];\ncx q[4], q[7];\nrz(-0.5911) q[1];\nrz(-0.771) q[0];\nrz(-1.1565) q[2];\nrz(-1.0537) q[4];\nrz(-0.7453) q[5];\nrz(-1.1308) q[3];\nrz(-0.2827) q[6];\nrz(0.0771) q[7];\nh q[0];\nrz(0.1582) q[0];\nh q[0];\nh q[1];\nrz(0.1582) q[1];\nh q[1];\nh q[2];\nrz(0.1582) q[2];\nh q[2];\nh q[3];\nrz(0.1582) q[3];\nh q[3];\nh q[4];\nrz(0.1582) q[4];\nh q[4];\nh q[5];\nrz(0.1582) q[5];\nh q[5];\nh q[6];\nrz(0.1582) q[6];\nh q[6];\nh q[7];\nrz(0.1582) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x6) q[3];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["64a6a8fe1cb9ef7d229e464b8e6d867d","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [693, 757], \"expectation_value\": -2.2777023367902305, \"params\": [[0.0911, 1.0685, -0.1037, 1.0974000000000002, 0.8055, 1.1012, 1.0962, 0.38180000000000003, 0.8825000000000001, 0.2853, 0.9851000000000001], [0.1816, 1.0470000000000002, 0.046700000000000005, 0.6922, 0.0776, 0.25830000000000003, 0.38970000000000005, -0.1628, 1.0947, 0.2005, 1.074], [0.08360000000000001, 1.0708, 0.43510000000000004, 1.0964, 1.1071, 1.1063, 1.1053, 0.634, 0.9529000000000001, 0.2863, 1.0314]], \"bitstrings\": [\"10101001010\", \"10100001010\"], \"total_optimization_steps\": 110, \"probabilities\": [0.15562203499467808, 0.2081788412143399], \"optimization_time\": 7.76555609703064}","0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(9) @ Z(3)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(5) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(5) @ Z(3)) + -0.125 * (Z(5) @ Z(9) @ Z(3)) + -0.125 * (Z(8) @ Z(9) @ Z(3)) + -0.125 * (Z(8) @ Z(9) @ Z(5)) + 0.125 * (Z(8) @ Z(9) @ Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(10) @ Z(1)) + 0.0625 * (Z(6) @ Z(7)) + 0.0625 * (Z(8) @ Z(6)) + 0.0625 * (Z(6) @ Z(10)) + 0.0625 * (Z(8) @ Z(7)) + 0.0625 * (Z(10) @ Z(7)) + 0.0625 * (Z(8) @ Z(10)) + -0.0625 * (Z(6) @ Z(7) @ Z(1)) + -0.0625 * (Z(8) @ Z(6) @ Z(1)) + -0.0625 * (Z(6) @ Z(10) @ Z(1)) + -0.0625 * (Z(8) @ Z(7) @ Z(1)) + -0.0625 * (Z(10) @ Z(7) @ Z(1)) + -0.0625 * (Z(8) @ Z(10) @ Z(1)) + -0.0625 * (Z(8) @ Z(6) @ Z(7)) + -0.0625 * (Z(6) @ Z(10) @ Z(7)) + -0.0625 * (Z(8) @ Z(6) @ Z(10)) + -0.0625 * (Z(8) @ Z(10) @ Z(7)) + 0.0625 * (Z(8) @ Z(6) @ Z(7) @ Z(1)) + 0.0625 * (Z(6) @ Z(10) @ Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(6) @ Z(10) @ Z(1)) + 0.0625 * (Z(8) @ Z(10) @ Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(6) @ Z(10) @ Z(7)) + -0.0625 * (Z(8) @ Z(10) @ Z(1) @ Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.25 * (Z(9) @ Z(10)) + -0.25 * (Z(4) @ Z(9) @ Z(10)) + -0.25 * Z(0) + -0.0625 * Z(1) + -0.25 * Z(2) + 0.125 * Z(3) + 0.0 * Z(4) + 0.125 * Z(5) + 0.1875 * Z(6) + -0.0625 * Z(7) + 0.3125 * Z(8) + 0.125 * Z(9) + 0.1875 * Z(10)",10,11,2,"{\"smallest_eigenvalues\": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], \"number_of_smallest_eigenvalues\": 20, \"first_excited_energy\": -2.4375, \"smallest_bitstrings\": [\"01100010010\", \"10100000011\", \"01101100000\", \"10100001010\", \"11100000010\", \"10110000001\", \"10001101000\", \"10001001100\", \"10100000101\", \"10011001000\", \"10001001010\", \"10100000110\", \"10101000100\", \"10010001001\", \"10010001010\", \"10100100001\", \"01100100010\", \"01001101000\", \"10100010010\", \"01100100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.0911) q[0];\nry(1.0685) q[1];\nry(-0.1037) q[2];\nry(1.0974) q[3];\nry(0.8055) q[4];\nry(1.1012) q[5];\nry(1.0962) q[6];\nry(0.3818) q[7];\nry(0.8825) q[8];\nry(0.2853) q[9];\nry(0.9851) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.1816) q[0];\nry(1.047) q[1];\nry(0.0467) q[2];\nry(0.6922) q[3];\nry(0.0776) q[4];\nry(0.2583) q[5];\nry(0.3897) q[6];\nry(-0.1628) q[7];\nry(1.0947) q[8];\nry(0.2005) q[9];\nry(1.074) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(0.0836) q[0];\nry(1.0708) q[1];\nry(0.4351) q[2];\nry(1.0964) q[3];\nry(1.1071) q[4];\nry(1.1063) q[5];\nry(1.1053) q[6];\nry(0.634) q[7];\nry(0.9529) q[8];\nry(0.2863) q[9];\nry(1.0314) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x15) q[4];\nry(x16) q[5];\nry(x17) q[6];\nry(x18) q[7];\nry(x19) q[8];\nry(x20) q[9];\nry(x21) q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[10];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["-5288719477845005165","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[2, 4, 6, 7, 9], [2, 3], [4, 5, 6, 7, 8, 9, 11], [0, 3, 4, 5, 7, 9, 10, 11], [0, 4, 5, 8, 9, 10], [0, 3, 4, 5, 7, 8, 10, 11], [0, 1, 2, 4, 6, 8, 9, 10], [1, 3, 7, 8, 11], [1, 5, 6], [0, 1, 4, 5, 11], [0, 9, 11, 6], [1, 5, 7, 10, 11], [3, 4, 5, 6, 9, 10], [0, 1, 3, 5], [1, 3, 4], [2, 4, 6, 7, 11], [1, 2, 4, 7, 8, 10], [0, 1, 3, 8, 9, 10, 11], [0, 6, 7, 8, 9, 10], [0, 3, 6, 7, 9, 10], [2, 4, 5, 8, 10], [0, 1, 4, 7, 8, 11]]}","{\"states\": [2430, 2686], \"expectation_value\": -4.620054558710802, \"params\": [[[3.1438, 0.0078000000000000005, 0.0027, 0.0074], [0.48400000000000004, 0.0028, 0.2452, 0.0031000000000000003], [1.5748, 0.0037, 0.002, 0.0081], [1.5773000000000001, 0.003, 0.7897000000000001, 0.0051], [-0.0022, 0.0073, 0.00030000000000000003, 0.0048000000000000004], [1.074, -0.0028, 1.0301, 0.0054], [3.1445000000000003, 0.0011, 0.0009000000000000001, 0.0036000000000000003], [0.0024000000000000002, 1.0073, 1.5684, 0.0073], [3.1446, 0.0009000000000000001, 0.0076, 0.0037], [-0.0022, -0.9624, 1.5731000000000002, 0.0041], [3.1445000000000003, 0.0089, 0.0013000000000000002, 0.0035], [0.0784, 0.0083, 0.006500000000000001, 0.0033]]], \"bitstrings\": [\"011010000001\", \"010110000001\"], \"total_optimization_steps\": 390, \"probabilities\": [0.49715502291081926, 0.5012253721065243], \"optimization_time\": 18.18173599243164}","0.2011904761904762 * (Z(4) @ Z(6)) + 0.175 * (Z(8) @ Z(6)) + 0.11785714285714287 * (Z(8) @ Z(4)) + 0.22619047619047616 * (Z(9) @ Z(6)) + 0.13333333333333333 * (Z(9) @ Z(4)) + 0.19047619047619047 * (Z(9) @ Z(8)) + 0.17619047619047618 * (Z(11) @ Z(6)) + 0.06785714285714287 * (Z(11) @ Z(4)) + 0.27499999999999997 * (Z(11) @ Z(8)) + 0.15833333333333333 * (Z(11) @ Z(9)) + 0.2357142857142857 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(5) @ Z(8)) + 0.11904761904761904 * (Z(5) @ Z(9)) + 0.10833333333333334 * (Z(5) @ Z(11)) + 0.22619047619047616 * (Z(7) @ Z(6)) + 0.05 * (Z(7) @ Z(4)) + 0.2238095238095238 * (Z(7) @ Z(8)) + 0.10952380952380952 * (Z(7) @ Z(9)) + 0.10833333333333334 * (Z(7) @ Z(11)) + 0.1523809523809524 * (Z(7) @ Z(5)) + 0.2095238095238095 * (Z(10) @ Z(6)) + 0.10119047619047619 * (Z(10) @ Z(4)) + 0.075 * (Z(10) @ Z(8)) + 0.19166666666666665 * (Z(10) @ Z(9)) + 0.13214285714285715 * (Z(10) @ Z(11)) + 0.09166666666666667 * (Z(10) @ Z(5)) + 0.125 * (Z(10) @ Z(7)) + 0.19285714285714284 * (Z(3) @ Z(6)) + 0.05 * (Z(3) @ Z(4)) + 0.15714285714285714 * (Z(3) @ Z(8)) + 0.24285714285714283 * (Z(3) @ Z(9)) + 0.1488095238095238 * (Z(3) @ Z(11)) + 0.10952380952380952 * (Z(3) @ Z(5)) + 0.1595238095238095 * (Z(3) @ Z(7)) + 0.1488095238095238 * (Z(3) @ Z(10)) + 0.17023809523809524 * (Z(0) @ Z(6)) + 0.017857142857142856 * (Z(0) @ Z(4)) + 0.16785714285714284 * (Z(0) @ Z(8)) + 0.1357142857142857 * (Z(0) @ Z(9)) + 0.24285714285714285 * (Z(0) @ Z(11)) + 0.17619047619047618 * (Z(0) @ Z(5)) + 0.20238095238095238 * (Z(0) @ Z(7)) + 0.1595238095238095 * (Z(0) @ Z(10)) + 0.2261904761904762 * (Z(0) @ Z(3)) + 0.20357142857142857 * (Z(2) @ Z(6)) + 0.10119047619047619 * (Z(2) @ Z(4)) + 0.11785714285714285 * (Z(2) @ Z(8)) + 0.1857142857142857 * (Z(2) @ Z(9)) + 0.19285714285714284 * (Z(2) @ Z(11)) + 0.1261904761904762 * (Z(2) @ Z(5)) + 0.20238095238095238 * (Z(2) @ Z(7)) + 0.2095238095238095 * (Z(2) @ Z(10)) + 0.10952380952380952 * (Z(2) @ Z(3)) + 0.17738095238095236 * (Z(2) @ Z(0)) + 0.3011904761904762 * (Z(1) @ Z(6)) + 0.05119047619047619 * (Z(1) @ Z(4)) + 0.1845238095238095 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.041666666666666664 * (Z(1) @ Z(11)) + 0.32380952380952377 * (Z(1) @ Z(5)) + 0.35 * (Z(1) @ Z(7)) + 0.15833333333333333 * (Z(1) @ Z(10)) + 0.20714285714285716 * (Z(1) @ Z(3)) + 0.20833333333333334 * (Z(1) @ Z(0)) + 0.125 * (Z(1) @ Z(2)) + 1.1589285714285713 * Z(6) + 0.4458333333333335 * Z(4) + 0.875595238095238 * Z(8) + 0.9297619047619047 * Z(9) + 0.826190476190476 * Z(11) + 0.7547619047619052 * Z(5) + 0.9547619047619047 * Z(7) + 0.8011904761904762 * Z(10) + 0.876190476190476 * Z(3) + 0.9422619047619046 * Z(0) + 0.8755952380952381 * Z(2) + 1.058928571428571 * Z(1)",12,12,1,"{\"smallest_eigenvalues\": [-4.647619047619049], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.594047619047619, \"smallest_bitstrings\": [\"010110000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(3.1438) q[0];\nrz(0.0078) q[0];\nry(0.484) q[1];\nrz(0.0028) q[1];\nry(1.5748) q[2];\nrz(0.0037) q[2];\nry(1.5773) q[3];\nrz(0.003) q[3];\nry(-0.0022) q[4];\nrz(0.0073) q[4];\nry(1.074) q[5];\nrz(-0.0028) q[5];\nry(3.1445) q[6];\nrz(0.0011) q[6];\nry(0.0024) q[7];\nrz(1.0073) q[7];\nry(3.1446) q[8];\nrz(0.0009) q[8];\nry(-0.0022) q[9];\nrz(-0.9624) q[9];\nry(3.1445) q[10];\nrz(0.0089) q[10];\nry(0.0784) q[11];\nrz(0.0083) q[11];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\ncz q[11], q[10];\nry(0.2452) q[1];\nry(0.2452) q[1];\nrz(0.0081) q[2];\nrz(0.0081) q[2];\ncz q[2], q[1];\nry(0.7897) q[3];\nry(0.7897) q[3];\nrz(0.0048) q[4];\nrz(0.0048) q[4];\ncz q[4], q[3];\nry(1.0301) q[5];\nry(1.0301) q[5];\nrz(0.0036) q[6];\nrz(0.0036) q[6];\ncz q[6], q[5];\nry(1.5684) q[7];\nry(1.5684) q[7];\nrz(0.0037) q[8];\nrz(0.0037) q[8];\ncz q[8], q[7];\nry(1.5731) q[9];\nry(1.5731) q[9];\nrz(0.0035) q[10];\nrz(0.0035) q[10];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x8) q[9];\nrz(x18) q[9];\nry(x12) q[10];\nrz(x19) q[10];\nry(x20) q[11];\nrz(x21) q[11];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\ncz q[11], q[10];\nry(x22) q[1];\nry(x22) q[1];\nrz(x23) q[2];\nrz(x23) q[2];\ncz q[2], q[1];\nry(x24) q[3];\nry(x24) q[3];\nrz(x25) q[4];\nrz(x25) q[4];\ncz q[4], q[3];\nry(x26) q[5];\nry(x26) q[5];\nrz(x27) q[6];\nrz(x27) q[6];\ncz q[6], q[5];\nry(x28) q[7];\nry(x28) q[7];\nrz(x5) q[8];\nrz(x5) q[8];\ncz q[8], q[7];\nry(x29) q[9];\nry(x29) q[9];\nrz(x30) q[10];\nrz(x30) q[10];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["63619e020a1c90ad7a6b86d090a55f7a","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}]}","{\"states\": [971, 843], \"expectation_value\": -2.0989918327046793, \"params\": [[[1.0029000000000001, -0.0006000000000000001], [0.9945, 0.0012000000000000001], [0.7647, 0.1265], [1.0055, -0.0017000000000000001], [0.0028, 0.7401], [0.3548, -0.3311], [1.0013, -0.0001], [0.1029, -0.4489], [1.0004, -0.0041], [1.0076, -0.0009000000000000001]], [[0.9971000000000001, 0.0058000000000000005], [0.996, 0.0026000000000000003], [0.7655000000000001, 0.003], [1.0041, 0.0029000000000000002], [0.0028, 0.0059], [0.3613, 0.0001], [0.9977, 0.008], [0.097, 0.0011], [1.0014, 0.0068000000000000005], [1.0043, 0.0085]]], \"bitstrings\": [\"0000110100\", \"0010110100\"], \"total_optimization_steps\": 100, \"probabilities\": [0.052941938392772114, 0.05785995812310433], \"optimization_time\": 6.884066820144653}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(8)) + 0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(1) @ Z(8)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(9) @ Z(2)) + 0.25 * (Z(9) @ Z(6)) + -0.25 * (Z(9) @ Z(6) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(9) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + -0.125 * Z(0) + 0.125 * Z(1) + 0.125 * Z(2) + 0.125 * Z(3) + -0.75 * Z(4) + -0.25 * Z(5) + -0.25 * Z(6) + -0.5 * Z(7) + -0.25 * Z(8) + 0.0 * Z(9)",1,10,2,"{\"smallest_eigenvalues\": [-4.375, -4.375], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.375, \"smallest_bitstrings\": [\"0010110100\", \"1000101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(1.0029) q[0];\nrz(-0.0006) q[0];\nrx(0.9945) q[1];\nrz(0.0012) q[1];\nrx(0.7647) q[2];\nrz(0.1265) q[2];\nrx(1.0055) q[3];\nrz(-0.0017) q[3];\nrx(0.0028) q[4];\nrz(0.7401) q[4];\nrx(0.3548) q[5];\nrz(-0.3311) q[5];\nrx(1.0013) q[6];\nrz(-0.0001) q[6];\nrx(0.1029) q[7];\nrz(-0.4489) q[7];\nrx(1.0004) q[8];\nrz(-0.0041) q[8];\nrx(1.0076) q[9];\nrz(-0.0009) q[9];\nrx(0.9971) q[0];\nrz(0.0058) q[0];\nrx(0.996) q[1];\nrz(0.0026) q[1];\nrx(0.7655) q[2];\nrz(0.003) q[2];\nrx(1.0041) q[3];\nrz(0.0029) q[3];\nrx(0.0028) q[4];\nrz(0.0059) q[4];\nrx(0.3613) q[5];\nrz(0.0001) q[5];\nrx(0.9977) q[6];\nrz(0.008) q[6];\nrx(0.097) q[7];\nrz(0.0011) q[7];\nrx(1.0014) q[8];\nrz(0.0068) q[8];\nrx(1.0043) q[9];\nrz(0.0085) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x8) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x30) q[5];\nrx(x31) q[6];\nrz(x32) q[6];\nrx(x33) q[7];\nrz(x34) q[7];\nrx(x35) q[8];\nrz(x36) q[8];\nrx(x37) q[9];\nrz(x38) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["de9a133a4fe74953491b34b384361641","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 8}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [421, 417], \"expectation_value\": -4.935216011783578, \"params\": [1.6918, -0.0014, 1.713, -0.0002, -0.0041, 0.7561, 1.7024000000000001, 0.0032, 0.0921, -0.014400000000000001, -0.0111, -0.7925000000000001, 1.4754, 0.0038, 1.4069, 0.0034000000000000002, 1.7033, 0.0043, 1.4838, -1.625, 0.006, -1.6752, -0.18530000000000002, 0.006200000000000001, -1.5019, -1.4103], \"bitstrings\": [\"001011010\", \"001011110\"], \"total_optimization_steps\": 170, \"probabilities\": [0.08248342126841832, 0.09984053696349847], \"optimization_time\": 4.786648988723755}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(5) + -1.0 * Z(1) + -1.5 * Z(7) + -0.5 * Z(3) + -0.5 * Z(6) + -0.5 * Z(8)",4,9,1,"{\"smallest_eigenvalues\": [-6.5, -6.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"001111010\", \"001011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(1.6918) q[0];\nrz(-0.0014) q[0];\nrx(1.713) q[1];\nrz(-0.0002) q[1];\nrx(-0.0041) q[2];\nrz(0.7561) q[2];\nrx(1.7024) q[3];\nrz(0.0032) q[3];\nrx(0.0921) q[4];\nrz(-0.0144) q[4];\nrx(-0.0111) q[5];\nrz(-0.7925) q[5];\nrx(1.4754) q[6];\nrz(0.0038) q[6];\nrx(1.4069) q[7];\nrz(0.0034) q[7];\nrx(1.7033) q[8];\nrz(0.0043) q[8];\ncrx(-1.4103) q[8], q[7];\ncrx(-1.5019) q[7], q[6];\ncrx(0.0062) q[6], q[5];\ncrx(-0.1853) q[5], q[4];\ncrx(-1.6752) q[4], q[3];\ncrx(0.006) q[3], q[2];\ncrx(-1.625) q[2], q[1];\ncrx(1.4838) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrx(x18) q[8], q[7];\ncrx(x19) q[7], q[6];\ncrx(x20) q[6], q[5];\ncrx(x21) q[5], q[4];\ncrx(x22) q[4], q[3];\ncrx(x23) q[3], q[2];\ncrx(x24) q[2], q[1];\ncrx(x25) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["e187371d430b945e0e1d69926f02e89f","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 5}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 4, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 6, \"source\": 4, \"target\": 5}]}","{\"states\": [4607, 6655], \"expectation_value\": -56.86502752760437, \"params\": [0.0027, 0.7412000000000001, 0.0028, 1.1696, 0.9224, 0.0095, -0.7919, 0.0032, 0.031900000000000005, 0.7461, 0.0028, 0.8522000000000001, 1.5441, 0.0053, 1.0376, 0.1791, 1.5803, 0.0029000000000000002, 1.0507, -0.20220000000000002, 1.5778, 0.0146, 1.5842, 0.0025, 1.5732000000000002, -0.0024000000000000002, 1.5836000000000001, 0.0039000000000000003, 1.5775000000000001, 0.0026000000000000003, 0.0027, 0.0036000000000000003, 0.0028, 0.0092, 0.9224, 0.0034000000000000002, -0.7919, 0.009600000000000001, 0.0251, 0.0026000000000000003, 0.0028, 0.0049, 1.5488000000000002, 0.0019, 1.0424, 0.0033, 1.5788, 0.0045000000000000005, 1.0479, 0.0036000000000000003, 1.5832000000000002, 0.0073, 1.5826, 0.0029000000000000002, 1.5790000000000002, 0.0078000000000000005, 1.5823, 0.0034000000000000002, 1.5834000000000001, 0.0074, -1.1653, 0.008700000000000001, 0.0044, 0.0059, 0.0123, 0.0057, 0.006200000000000001, -0.7368, 0.46640000000000004, 0.0063, 0.004, 0.0115, 0.0176, 0.0035, 0.0021000000000000003, -0.006200000000000001, -0.0028, 0.0092, 0.0012000000000000001, 0.0292, -0.0019, 0.0012000000000000001, 0.009000000000000001, 0.0026000000000000003, -0.0023, 0.001, 0.0086, -0.0027, 0.0037, 0.0034000000000000002, 0.0076, 0.0031000000000000003, 0.0066, 0.005200000000000001, 0.0048000000000000004, 0.009000000000000001, 0.0055000000000000005, 0.0083, 0.0073, 0.0004, 0.0077, 0.0022, 0.009000000000000001, 0.0004, 0.0033, 0.001, 0.0048000000000000004, 0.0082, 0.003, 0.0015, 0.0033, 0.0081, 0.0014, 0.0023, 0.0007, 0.0071, 0.004, 0.0031000000000000003, 0.007200000000000001, 0.0034000000000000002], \"bitstrings\": [\"110111000000000\", \"110011000000000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.17209639453070344, 0.17659297739243582], \"optimization_time\": 328.45303225517273}","-0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.6666666666666667 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 1.0 * (Z(11) @ Z(7)) + 2.0 * (Z(11) @ Z(8)) + 1.0 * (Z(11) @ Z(9)) + 2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(12) @ Z(7)) + 1.0 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (Z(12) @ Z(11)) + 1.0 * (Z(13) @ Z(7)) + 2.0 * (Z(13) @ Z(8)) + 1.0 * (Z(13) @ Z(9)) + 1.0 * (Z(13) @ Z(10)) + 2.0 * (Z(13) @ Z(11)) + 1.0 * (Z(13) @ Z(12)) + 1.5 * (Z(14) @ Z(7)) + 3.0 * (Z(14) @ Z(8)) + 1.5 * (Z(14) @ Z(9)) + 1.5 * (Z(14) @ Z(10)) + 3.0 * (Z(14) @ Z(11)) + 1.5 * (Z(14) @ Z(12)) + 3.0 * (Z(14) @ Z(13)) + -0.5 * Z(2) + 7.0 * Z(7) + -1.0 * Z(3) + 14.0 * Z(8) + 7.0 * Z(9) + 0.5 * Z(4) + -0.9999999999999999 * Z(0) + 1.0 * Z(5) + 0.5 * Z(6) + -1.9999999999999996 * Z(1) + 8.0 * Z(10) + 16.0 * Z(11) + 6.5 * Z(12) + 13.0 * Z(13) + 19.5 * Z(14)",16,15,2,"{\"smallest_eigenvalues\": [-59.83333333333215], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -59.83333333333132, \"smallest_bitstrings\": [\"110011000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nrx(0.0027) q[0];\nrz(0.7412) q[0];\nrx(0.0028) q[1];\nrz(1.1696) q[1];\nrx(0.9224) q[2];\nrz(0.0095) q[2];\nrx(-0.7919) q[3];\nrz(0.0032) q[3];\nrx(0.0319) q[4];\nrz(0.7461) q[4];\nrx(0.0028) q[5];\nrz(0.8522) q[5];\nrx(1.5441) q[6];\nrz(0.0053) q[6];\nrx(1.0376) q[7];\nrz(0.1791) q[7];\nrx(1.5803) q[8];\nrz(0.0029) q[8];\nrx(1.0507) q[9];\nrz(-0.2022) q[9];\nrx(1.5778) q[10];\nrz(0.0146) q[10];\nrx(1.5842) q[11];\nrz(0.0025) q[11];\nrx(1.5732) q[12];\nrz(-0.0024) q[12];\nrx(1.5836) q[13];\nrz(0.0039) q[13];\nrx(1.5775) q[14];\nrz(0.0026) q[14];\ncrz(-1.1653) q[1], q[0];\ncrz(0.0123) q[3], q[2];\ncrz(0.4664) q[5], q[4];\ncrz(0.0176) q[7], q[6];\ncrz(-0.0028) q[9], q[8];\ncrz(-0.0019) q[11], q[10];\ncrz(-0.0023) q[13], q[12];\ncrz(0.0059) q[2], q[1];\ncrz(-0.7368) q[4], q[3];\ncrz(0.0115) q[6], q[5];\ncrz(-0.0062) q[8], q[7];\ncrz(0.0292) q[10], q[9];\ncrz(0.0026) q[12], q[11];\ncrz(-0.0027) q[14], q[13];\nrx(0.0027) q[0];\nrz(0.0036) q[0];\nrx(0.0028) q[1];\nrz(0.0092) q[1];\nrx(0.9224) q[2];\nrz(0.0034) q[2];\nrx(-0.7919) q[3];\nrz(0.0096) q[3];\nrx(0.0251) q[4];\nrz(0.0026) q[4];\nrx(0.0028) q[5];\nrz(0.0049) q[5];\nrx(1.5488) q[6];\nrz(0.0019) q[6];\nrx(1.0424) q[7];\nrz(0.0033) q[7];\nrx(1.5788) q[8];\nrz(0.0045) q[8];\nrx(1.0479) q[9];\nrz(0.0036) q[9];\nrx(1.5832) q[10];\nrz(0.0073) q[10];\nrx(1.5826) q[11];\nrz(0.0029) q[11];\nrx(1.579) q[12];\nrz(0.0078) q[12];\nrx(1.5823) q[13];\nrz(0.0034) q[13];\nrx(1.5834) q[14];\nrz(0.0074) q[14];\ncrz(0.0076) q[1], q[0];\ncrz(0.0048) q[3], q[2];\ncrz(0.0073) q[5], q[4];\ncrz(0.009) q[7], q[6];\ncrz(0.0048) q[9], q[8];\ncrz(0.0033) q[11], q[10];\ncrz(0.0007) q[13], q[12];\ncrz(0.0052) q[2], q[1];\ncrz(0.0083) q[4], q[3];\ncrz(0.0022) q[6], q[5];\ncrz(0.001) q[8], q[7];\ncrz(0.0015) q[10], q[9];\ncrz(0.0023) q[12], q[11];\ncrz(0.0031) q[14], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x8;\ninput float[64] x9;\nbit[15] c;\nqubit[15] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x2) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\nrx(x21) q[11];\nrz(x22) q[11];\nrx(x23) q[12];\nrz(x24) q[12];\nrx(x25) q[13];\nrz(x26) q[13];\nrx(x27) q[14];\nrz(x28) q[14];\ncrz(x29) q[1], q[0];\ncrz(x30) q[3], q[2];\ncrz(x31) q[5], q[4];\ncrz(x32) q[7], q[6];\ncrz(x33) q[9], q[8];\ncrz(x34) q[11], q[10];\ncrz(x35) q[13], q[12];\ncrz(x36) q[2], q[1];\ncrz(x37) q[4], q[3];\ncrz(x38) q[6], q[5];\ncrz(x39) q[8], q[7];\ncrz(x40) q[10], q[9];\ncrz(x28) q[12], q[11];\ncrz(x41) q[14], q[13];\nrx(x0) q[0];\nrz(x42) q[0];\nrx(x2) q[1];\nrz(x43) q[1];\nrx(x4) q[2];\nrz(x44) q[2];\nrx(x6) q[3];\nrz(x45) q[3];\nrx(x46) q[4];\nrz(x28) q[4];\nrx(x2) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\nrx(x50) q[7];\nrz(x51) q[7];\nrx(x52) q[8];\nrz(x53) q[8];\nrx(x54) q[9];\nrz(x42) q[9];\nrx(x55) q[10];\nrz(x56) q[10];\nrx(x57) q[11];\nrz(x16) q[11];\nrx(x58) q[12];\nrz(x59) q[12];\nrx(x60) q[13];\nrz(x44) q[13];\nrx(x61) q[14];\nrz(x62) q[14];\ncrz(x63) q[1], q[0];\ncrz(x64) q[3], q[2];\ncrz(x56) q[5], q[4];\ncrz(x65) q[7], q[6];\ncrz(x64) q[9], q[8];\ncrz(x51) q[11], q[10];\ncrz(x66) q[13], q[12];\ncrz(x67) q[2], q[1];\ncrz(x68) q[4], q[3];\ncrz(x69) q[6], q[5];\ncrz(x70) q[8], q[7];\ncrz(x71) q[10], q[9];\ncrz(x72) q[12], q[11];\ncrz(x73) q[14], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["712b030d217f3cf9b2b341027ce3b496","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 14, \"source\": 1, \"target\": 6}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 14, \"source\": 2, \"target\": 4}, {\"weight\": 16, \"source\": 3, \"target\": 6}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 11, \"source\": 5, \"target\": 7}, {\"weight\": 10, \"source\": 6, \"target\": 7}]}","{\"states\": [243, 218], \"expectation_value\": -36.98127606365633, \"params\": null, \"bitstrings\": [\"100001100\", \"100100101\"], \"total_optimization_steps\": 100, \"probabilities\": [0.14664906187881477, 0.20802082059973423], \"optimization_time\": 158.72126817703247}","5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 4.0 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 1.5 * Z(3) + 13.0 * Z(5) + 0.5 * Z(6) + 10.5 * Z(7) + 15.0 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-72.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -65.0, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(26.9543) q[8];\nry(0.444) q[5];\ncry(2.7334) q[8], q[5];\nry(0.1722) q[2];\nry(0.2475) q[4];\ncry(0.3698) q[8], q[2];\ncry(0.2221) q[8], q[4];\nry(0.1792) q[7];\ncry(0.0851) q[8], q[7];\ncry(-0.1526) q[2], q[4];\nry(0.8641) q[1];\ncry(-0.2718) q[1], q[4];\ncry(-0.361) q[1], q[2];\ncry(-0.1155) q[1], q[5];\ncry(0.7265) q[7], q[4];\ncry(-0.3658) q[7], q[6];\ncry(-0.3359) q[4], q[5];\ncry(-0.0169) q[4], q[6];\ncry(-0.9983) q[5], q[3];\ncry(-1.1299) q[5], q[4];\ncry(0.7653) q[0], q[4];\ncry(0.3947) q[7], q[5];\ncry(0.6712) q[7], q[2];\ncry(-0.4493) q[2], q[5];\ncry(-1.5672) q[2], q[0];\ncry(-1.0338) q[8], q[1];\ncry(0.1253) q[2], q[1];\ncry(0.2536) q[5], q[1];\ncry(-0.0585) q[2], q[7];\ncry(1.3443) q[4], q[1];\ncry(-0.6745) q[4], q[2];\ncry(0.2822) q[5], q[2];\ncry(1.0498) q[6], q[2];\ncry(1.2725) q[5], q[7];\ncry(-1.0513) q[1], q[6];\ncry(0.5934) q[7], q[1];\ncry(0.8503) q[3], q[2];\ncry(0.7464) q[1], q[8];\ncry(1.8813) q[5], q[8];\ncry(-1.9766) q[1], q[7];\ncry(1.3128) q[4], q[7];\ncry(-0.1569) q[4], q[8];\nry(0.8425) q[6];\ncry(-0.3226) q[6], q[1];\ncry(1.3605) q[6], q[7];\ncry(-1.4094) q[2], q[6];\ncry(-0.4307) q[4], q[3];\ncry(1.5228) q[3], q[7];\ncry(1.3031) q[8], q[3];\ncry(0.3726) q[3], q[1];\ncry(0.5524) q[3], q[4];\ncry(-0.2196) q[7], q[3];\ncry(1.1249) q[0], q[7];\ncry(2.257) q[0], q[2];\ncry(-0.4564) q[1], q[0];\ncry(-0.2659) q[4], q[0];\ncry(-0.1796) q[3], q[8];\ncry(1.6305) q[6], q[4];\ncry(0.646) q[5], q[6];\ncry(-0.098) q[6], q[5];\ncry(-0.3533) q[6], q[8];\ncry(0.1373) q[7], q[8];\ncry(-0.073) q[2], q[8];\ncry(-0.452) q[6], q[0];\ncry(0.0863) q[5], q[0];\ncry(-0.1317) q[8], q[6];\ncry(-0.0422) q[7], q[0];\ncry(-0.1554) q[6], q[3];\ncry(0.0661) q[1], q[3];\ncry(-0.0334) q[2], q[3];\ncry(0.5132) q[0], q[6];\nry(0.074) q[0];\ncry(-0.1266) q[0], q[5];\ncry(0.0718) q[8], q[0];\nry(0.0226) q[3];\ncry(-0.0668) q[3], q[0];\ncry(0.1222) q[3], q[5];\ncry(-0.1581) q[0], q[8];\ncry(0.0366) q[3], q[6];\ncry(0.1063) q[0], q[3];\ncry(0.1555) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 9}\"}",{"$cut":{"chars":153428,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(26.9543) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(26.9543) q[8];\\nry(0.444) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(26.9543) q[8];\\nry(0.444) q[5];\\ncry(2.7334) q[8], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(26.9543) q[8];\\nry(0.444) q[5];\\ncry(2.7334) q[8], q[5];\\nry(0.1722) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(26.9543) q[8];\\nry(0.444) q[5];\\ncry(2.7334) q[8], q[5];\\nry(0.1722) q[2];\\nry(0.2475) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(26.9543) q[8];\\nry(0.444) q[5];\\ncry(2.7334) q[8], q[5];\\nry(0.1722) q[2];\\nry(0.2475) q[4];\\ncry(0.3698) q[8], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(26.9543) q[8];\\nry(0.444) q[5];\\ncry(2.7334) q[8], q[5];\\nry(0.1722) q[2];\\nry(0.2475) q[4];\\ncry(0.3698) q[8], q[2];\\ncry(0.2221) q[8], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(26.9543) q[8];\\nry(0.444) q[5];\\ncry(2.7334) q[8], q[5];\\nry(0.1722) q[2];\\nry(0.2475) q[4];\\ncry(0.3698) q[8], q[2];\\ncry(0.2221) q[8], q[4];\\nry(0.1792) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(26.9543) q[8];\\nry(0.444) q[5];\\ncry(2.7334) q[8], q[5];\\nry(0.1722) q[2];\\nry(0.2475) q[4];\\ncry(0.3698) q[8], q[2];\\ncry(0.2221) q[8], q[4];\\nry(0.1792) q[7];\\ncry(0.0851) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\"}}]
["9915ff93784d747e82bcd9a73a2399e5","graph_coloring","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 1}, {\"id\": 2}, {\"id\": 0}, {\"id\": 4}, {\"id\": 3}], \"edges\": [{\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 0, \"target\": 4}, {\"source\": 4, \"target\": 3}]}","{\"states\": [27869, 28011], \"expectation_value\": -1.3110340605430844, \"params\": [[-0.1264], [0.1115]], \"bitstrings\": [\"001001100100010\", \"001001010010100\"], \"total_optimization_steps\": 20, \"probabilities\": [5.922882015064335e-05, 5.922882015064335e-05], \"optimization_time\": 74.73007011413574}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(12) @ Z(3)) + 0.25 * (Z(12) @ Z(6)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(13) @ Z(4)) + 0.25 * (Z(13) @ Z(7)) + 0.25 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(5)) + 0.25 * (Z(14) @ Z(8)) + 0.25 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.25 * (Z(9) @ Z(12)) + 0.25 * (Z(10) @ Z(13)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(14)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 1.0 * Z(4) + 1.0 * Z(3) + 1.0 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8) + 0.75 * Z(1) + 0.75 * Z(0) + 0.75 * Z(2) + 1.5 * Z(12) + 1.5 * Z(13) + 1.5 * Z(14) + 0.75 * Z(9) + 0.75 * Z(10) + 0.75 * Z(11)",1,15,1,"{\"smallest_eigenvalues\": [-8.749999999999986], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.749999999999952, \"smallest_bitstrings\": [\"001001010010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\ncx q[4], q[3];\nrz(-0.1264) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(-0.1264) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.1264) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(-0.0632) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(-0.0632) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.1264) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(-0.0632) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(-0.1264) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.1264) q[8];\ncx q[7], q[8];\ncx q[1], q[0];\nrz(-0.1264) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1264) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1264) q[2];\ncx q[0], q[2];\ncx q[3], q[12];\nrz(-0.0632) q[12];\ncx q[3], q[12];\ncx q[6], q[12];\nrz(-0.0632) q[12];\ncx q[6], q[12];\ncx q[0], q[12];\nrz(-0.0632) q[12];\ncx q[0], q[12];\ncx q[4], q[13];\nrz(-0.0632) q[13];\ncx q[4], q[13];\ncx q[7], q[13];\nrz(-0.0632) q[13];\ncx q[7], q[13];\ncx q[1], q[13];\nrz(-0.0632) q[13];\ncx q[1], q[13];\ncx q[12], q[13];\nrz(-0.1264) q[13];\ncx q[12], q[13];\ncx q[5], q[14];\nrz(-0.0632) q[14];\ncx q[5], q[14];\ncx q[8], q[14];\nrz(-0.0632) q[14];\ncx q[8], q[14];\ncx q[2], q[14];\nrz(-0.0632) q[14];\ncx q[2], q[14];\ncx q[12], q[14];\nrz(-0.1264) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(-0.1264) q[14];\ncx q[13], q[14];\ncx q[12], q[9];\nrz(-0.0632) q[9];\ncx q[12], q[9];\ncx q[13], q[10];\nrz(-0.0632) q[10];\ncx q[13], q[10];\ncx q[9], q[10];\nrz(-0.1264) q[10];\ncx q[9], q[10];\ncx q[14], q[11];\nrz(-0.0632) q[11];\ncx q[14], q[11];\ncx q[9], q[11];\nrz(-0.1264) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.1264) q[11];\ncx q[10], q[11];\nrz(-0.2528) q[4];\nrz(-0.2528) q[3];\nrz(-0.2528) q[5];\nrz(-0.2528) q[6];\nrz(-0.2528) q[7];\nrz(-0.2528) q[8];\nrz(-0.1896) q[1];\nrz(-0.1896) q[0];\nrz(-0.1896) q[2];\nrz(-0.3792) q[12];\nrz(-0.3792) q[13];\nrz(-0.3792) q[14];\nrz(-0.1896) q[9];\nrz(-0.1896) q[10];\nrz(-0.1896) q[11];\nh q[0];\nrz(0.223) q[0];\nh q[0];\nh q[1];\nrz(0.223) q[1];\nh q[1];\nh q[2];\nrz(0.223) q[2];\nh q[2];\nh q[3];\nrz(0.223) q[3];\nh q[3];\nh q[4];\nrz(0.223) q[4];\nh q[4];\nh q[5];\nrz(0.223) q[5];\nh q[5];\nh q[6];\nrz(0.223) q[6];\nh q[6];\nh q[7];\nrz(0.223) q[7];\nh q[7];\nh q[8];\nrz(0.223) q[8];\nh q[8];\nh q[9];\nrz(0.223) q[9];\nh q[9];\nh q[10];\nrz(0.223) q[10];\nh q[10];\nh q[11];\nrz(0.223) q[11];\nh q[11];\nh q[12];\nrz(0.223) q[12];\nh q[12];\nh q[13];\nrz(0.223) q[13];\nh q[13];\nh q[14];\nrz(0.223) q[14];\nh q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[15] c;\nqubit[15] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(x1) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[12];\nrz(x1) q[12];\ncx q[3], q[12];\ncx q[6], q[12];\nrz(x1) q[12];\ncx q[6], q[12];\ncx q[0], q[12];\nrz(x1) q[12];\ncx q[0], q[12];\ncx q[4], q[13];\nrz(x1) q[13];\ncx q[4], q[13];\ncx q[7], q[13];\nrz(x1) q[13];\ncx q[7], q[13];\ncx q[1], q[13];\nrz(x1) q[13];\ncx q[1], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[5], q[14];\nrz(x1) q[14];\ncx q[5], q[14];\ncx q[8], q[14];\nrz(x1) q[14];\ncx q[8], q[14];\ncx q[2], q[14];\nrz(x1) q[14];\ncx q[2], q[14];\ncx q[12], q[14];\nrz(x0) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x0) q[14];\ncx q[13], q[14];\ncx q[12], q[9];\nrz(x1) q[9];\ncx q[12], q[9];\ncx q[13], q[10];\nrz(x1) q[10];\ncx q[13], q[10];\ncx q[9], q[10];\nrz(x0) q[10];\ncx q[9], q[10];\ncx q[14], q[11];\nrz(x1) q[11];\ncx q[14], q[11];\ncx q[9], q[11];\nrz(x0) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\nrz(x2) q[4];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x2) q[8];\nrz(x3) q[1];\nrz(x3) q[0];\nrz(x3) q[2];\nrz(x4) q[12];\nrz(x4) q[13];\nrz(x4) q[14];\nrz(x3) q[9];\nrz(x3) q[10];\nrz(x3) q[11];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nh q[11];\nrz(x5) q[11];\nh q[11];\nh q[12];\nrz(x5) q[12];\nh q[12];\nh q[13];\nrz(x5) q[13];\nh q[13];\nh q[14];\nrz(x5) q[14];\nh q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","{\"number_of_colors\": 3}","{\"circuits\": [], \"gradients\": []}"]
["-6093224199140454729","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 6], [8, 1], [8, 2, 3, 5], [0, 1, 4, 5], [8, 7]]}","{\"states\": [0, 349], \"expectation_value\": -0.025334691232327844, \"params\": [0.7018, -0.0002, 0.6994, 0.0012000000000000001, 0.6964, -0.0026000000000000003, 0.6932, 0.006900000000000001, 0.7083, 0.005200000000000001, 0.7046, 0.0004, 0.7062, 0.0046, 0.7053, 0.0099, 0.6999000000000001, 0.004, 0.6958000000000001, 0.0045000000000000005, 0.7055, -0.0021000000000000003, 0.6994, 0.0049, 0.7106, 0.003, 0.7024, 0.005, 0.7033, 0.003, 0.4842, 0.002, 0.6980000000000001, -0.0007, 0.7071000000000001, 0.008, 0.6844, -0.1115, 0.0412, -0.023700000000000002, 0.061000000000000006, 0.5584, 0.10310000000000001, -0.33840000000000003, 0.5761000000000001], \"bitstrings\": [\"111111111\", \"010100010\"], \"total_optimization_steps\": 70, \"probabilities\": [0.02771838576085657, 0.032308933365254644], \"optimization_time\": 17.172773838043213}","0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.0 * Z(6) + 0.12499999999999978 * Z(1) + 0.125 * Z(8) + 0.125 * Z(2) + 0.125 * Z(3) + 0.24999999999999994 * Z(5) + 0.125 * Z(0) + 0.125 * Z(4) + 0.0 * Z(7)",6,9,1,"{\"smallest_eigenvalues\": [-2.0, -2.0, -2.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.9999999999999998, \"smallest_bitstrings\": [\"000010101\", \"011000010\", \"010100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.7018) q[0];\nrz(-0.0002) q[0];\nrx(0.6964) q[1];\nrz(-0.0026) q[1];\nrx(0.7083) q[2];\nrz(0.0052) q[2];\nrx(0.7062) q[3];\nrz(0.0046) q[3];\nrx(0.6999) q[4];\nrz(0.004) q[4];\nrx(0.7055) q[5];\nrz(-0.0021) q[5];\nrx(0.7106) q[6];\nrz(0.003) q[6];\nrx(0.7033) q[7];\nrz(0.003) q[7];\nrx(0.698) q[8];\nrz(-0.0007) q[8];\ncrx(-0.3384) q[8], q[7];\ncrx(0.1031) q[8], q[6];\ncrx(0.5584) q[8], q[5];\ncrx(0.061) q[8], q[4];\ncrx(-0.0237) q[8], q[3];\ncrx(0.0412) q[8], q[2];\ncrx(-0.1115) q[8], q[1];\ncrx(0.6844) q[8], q[0];\ncrx(0.5761) q[7], q[8];\ncrx(0.1031) q[7], q[6];\ncrx(0.5584) q[7], q[5];\ncrx(0.061) q[7], q[4];\ncrx(-0.0237) q[7], q[3];\ncrx(0.0412) q[7], q[2];\ncrx(-0.1115) q[7], q[1];\ncrx(0.6844) q[7], q[0];\ncrx(0.5761) q[6], q[8];\ncrx(-0.3384) q[6], q[7];\ncrx(0.5584) q[6], q[5];\ncrx(0.061) q[6], q[4];\ncrx(-0.0237) q[6], q[3];\ncrx(0.0412) q[6], q[2];\ncrx(-0.1115) q[6], q[1];\ncrx(0.6844) q[6], q[0];\ncrx(0.5761) q[5], q[8];\ncrx(-0.3384) q[5], q[7];\ncrx(0.1031) q[5], q[6];\ncrx(0.061) q[5], q[4];\ncrx(-0.0237) q[5], q[3];\ncrx(0.0412) q[5], q[2];\ncrx(-0.1115) q[5], q[1];\ncrx(0.6844) q[5], q[0];\ncrx(0.5761) q[4], q[8];\ncrx(-0.3384) q[4], q[7];\ncrx(0.1031) q[4], q[6];\ncrx(0.5584) q[4], q[5];\ncrx(-0.0237) q[4], q[3];\ncrx(0.0412) q[4], q[2];\ncrx(-0.1115) q[4], q[1];\ncrx(0.6844) q[4], q[0];\ncrx(0.5761) q[3], q[8];\ncrx(-0.3384) q[3], q[7];\ncrx(0.1031) q[3], q[6];\ncrx(0.5584) q[3], q[5];\ncrx(0.061) q[3], q[4];\ncrx(0.0412) q[3], q[2];\ncrx(-0.1115) q[3], q[1];\ncrx(0.6844) q[3], q[0];\ncrx(0.5761) q[2], q[8];\ncrx(-0.3384) q[2], q[7];\ncrx(0.1031) q[2], q[6];\ncrx(0.5584) q[2], q[5];\ncrx(0.061) q[2], q[4];\ncrx(-0.0237) q[2], q[3];\ncrx(-0.1115) q[2], q[1];\ncrx(0.6844) q[2], q[0];\ncrx(0.5761) q[1], q[8];\ncrx(-0.3384) q[1], q[7];\ncrx(0.1031) q[1], q[6];\ncrx(0.5584) q[1], q[5];\ncrx(0.061) q[1], q[4];\ncrx(-0.0237) q[1], q[3];\ncrx(0.0412) q[1], q[2];\ncrx(0.6844) q[1], q[0];\ncrx(0.5761) q[0], q[8];\ncrx(-0.3384) q[0], q[7];\ncrx(0.1031) q[0], q[6];\ncrx(0.5584) q[0], q[5];\ncrx(0.061) q[0], q[4];\ncrx(-0.0237) q[0], q[3];\ncrx(0.0412) q[0], q[2];\ncrx(-0.1115) q[0], q[1];\nrx(0.6994) q[0];\nrz(0.0012) q[0];\nrx(0.6932) q[1];\nrz(0.0069) q[1];\nrx(0.7046) q[2];\nrz(0.0004) q[2];\nrx(0.7053) q[3];\nrz(0.0099) q[3];\nrx(0.6958) q[4];\nrz(0.0045) q[4];\nrx(0.6994) q[5];\nrz(0.0049) q[5];\nrx(0.7024) q[6];\nrz(0.005) q[6];\nrx(0.4842) q[7];\nrz(0.002) q[7];\nrx(0.7071) q[8];\nrz(0.008) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x13) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\ncrx(x17) q[8], q[7];\ncrx(x18) q[8], q[6];\ncrx(x19) q[8], q[5];\ncrx(x20) q[8], q[4];\ncrx(x21) q[8], q[3];\ncrx(x22) q[8], q[2];\ncrx(x23) q[8], q[1];\ncrx(x24) q[8], q[0];\ncrx(x25) q[7], q[8];\ncrx(x18) q[7], q[6];\ncrx(x19) q[7], q[5];\ncrx(x20) q[7], q[4];\ncrx(x21) q[7], q[3];\ncrx(x22) q[7], q[2];\ncrx(x23) q[7], q[1];\ncrx(x24) q[7], q[0];\ncrx(x25) q[6], q[8];\ncrx(x17) q[6], q[7];\ncrx(x19) q[6], q[5];\ncrx(x20) q[6], q[4];\ncrx(x21) q[6], q[3];\ncrx(x22) q[6], q[2];\ncrx(x23) q[6], q[1];\ncrx(x24) q[6], q[0];\ncrx(x25) q[5], q[8];\ncrx(x17) q[5], q[7];\ncrx(x18) q[5], q[6];\ncrx(x20) q[5], q[4];\ncrx(x21) q[5], q[3];\ncrx(x22) q[5], q[2];\ncrx(x23) q[5], q[1];\ncrx(x24) q[5], q[0];\ncrx(x25) q[4], q[8];\ncrx(x17) q[4], q[7];\ncrx(x18) q[4], q[6];\ncrx(x19) q[4], q[5];\ncrx(x21) q[4], q[3];\ncrx(x22) q[4], q[2];\ncrx(x23) q[4], q[1];\ncrx(x24) q[4], q[0];\ncrx(x25) q[3], q[8];\ncrx(x17) q[3], q[7];\ncrx(x18) q[3], q[6];\ncrx(x19) q[3], q[5];\ncrx(x20) q[3], q[4];\ncrx(x22) q[3], q[2];\ncrx(x23) q[3], q[1];\ncrx(x24) q[3], q[0];\ncrx(x25) q[2], q[8];\ncrx(x17) q[2], q[7];\ncrx(x18) q[2], q[6];\ncrx(x19) q[2], q[5];\ncrx(x20) q[2], q[4];\ncrx(x21) q[2], q[3];\ncrx(x23) q[2], q[1];\ncrx(x24) q[2], q[0];\ncrx(x25) q[1], q[8];\ncrx(x17) q[1], q[7];\ncrx(x18) q[1], q[6];\ncrx(x19) q[1], q[5];\ncrx(x20) q[1], q[4];\ncrx(x21) q[1], q[3];\ncrx(x22) q[1], q[2];\ncrx(x24) q[1], q[0];\ncrx(x25) q[0], q[8];\ncrx(x17) q[0], q[7];\ncrx(x18) q[0], q[6];\ncrx(x19) q[0], q[5];\ncrx(x20) q[0], q[4];\ncrx(x21) q[0], q[3];\ncrx(x22) q[0], q[2];\ncrx(x23) q[0], q[1];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x26) q[5];\nrz(x36) q[5];\nrx(x37) q[6];\nrz(x38) q[6];\nrx(x39) q[7];\nrz(x40) q[7];\nrx(x41) q[8];\nrz(x42) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["7016843489726828262","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[2, 4, 6], [0, 1, 6, 7, 8], [0, 4, 5, 6, 7, 8], [0, 1, 3, 6], [0, 1, 2, 5, 6], [0, 2, 4, 5, 8], [2, 3], [0, 1, 4, 7], [0, 3, 4, 6]]}","{\"states\": [189, 191], \"expectation_value\": -1.1822352454051732, \"params\": [[0.37010000000000004], [-0.3557]], \"bitstrings\": [\"101000010\", \"101000000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.0066215294533620885, 0.006713217014875346], \"optimization_time\": 5.934776782989502}","0.21666666666666667 * (Z(2) @ Z(4)) + 0.2833333333333333 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.1 * (Z(0) @ Z(2)) + 0.3 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.18333333333333335 * (Z(1) @ Z(6)) + 0.26666666666666666 * (Z(1) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(4)) + 0.08333333333333334 * (Z(7) @ Z(6)) + 0.16666666666666669 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333334 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(2)) + 0.08333333333333334 * (Z(8) @ Z(6)) + 0.13333333333333336 * (Z(8) @ Z(0)) + 0.05 * (Z(8) @ Z(1)) + 0.08333333333333334 * (Z(8) @ Z(7)) + 0.08333333333333334 * (Z(5) @ Z(4)) + 0.1 * (Z(5) @ Z(2)) + 0.08333333333333334 * (Z(5) @ Z(6)) + 0.13333333333333336 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(7)) + 0.08333333333333334 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.6 * Z(4) + 0.3666666666666667 * Z(2) + 0.7 * Z(6) + 0.7583333333333333 * Z(0) + 0.45 * Z(1) + 0.30833333333333335 * Z(7) + 0.28333333333333344 * Z(8) + 0.28333333333333344 * Z(5) + 0.25 * Z(3)",1,9,1,"{\"smallest_eigenvalues\": [-2.35], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.3, \"smallest_bitstrings\": [\"101000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[2];\nrz(0.1604) q[2];\ncx q[4], q[2];\ncx q[4], q[6];\nrz(0.2097) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(0.1604) q[6];\ncx q[2], q[6];\ncx q[4], q[0];\nrz(0.1851) q[0];\ncx q[4], q[0];\ncx q[2], q[0];\nrz(0.074) q[0];\ncx q[2], q[0];\ncx q[6], q[0];\nrz(0.2221) q[0];\ncx q[6], q[0];\ncx q[4], q[1];\nrz(0.0617) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(0.037) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(0.1357) q[1];\ncx q[6], q[1];\ncx q[0], q[1];\nrz(0.1974) q[1];\ncx q[0], q[1];\ncx q[4], q[7];\nrz(0.0864) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0617) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(0.1234) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(0.0987) q[7];\ncx q[1], q[7];\ncx q[4], q[8];\nrz(0.0617) q[8];\ncx q[4], q[8];\ncx q[2], q[8];\nrz(0.037) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.0617) q[8];\ncx q[6], q[8];\ncx q[0], q[8];\nrz(0.0987) q[8];\ncx q[0], q[8];\ncx q[1], q[8];\nrz(0.037) q[8];\ncx q[1], q[8];\ncx q[7], q[8];\nrz(0.0617) q[8];\ncx q[7], q[8];\ncx q[4], q[5];\nrz(0.0617) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(0.074) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(0.0617) q[5];\ncx q[6], q[5];\ncx q[0], q[5];\nrz(0.0987) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(0.037) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(0.0247) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(0.0617) q[5];\ncx q[8], q[5];\ncx q[4], q[3];\nrz(0.0617) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(0.3701) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(0.1234) q[3];\ncx q[6], q[3];\ncx q[0], q[3];\nrz(0.1234) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(0.0617) q[3];\ncx q[1], q[3];\nrz(0.4441) q[4];\nrz(0.2714) q[2];\nrz(0.5181) q[6];\nrz(0.5613) q[0];\nrz(0.3331) q[1];\nrz(0.2282) q[7];\nrz(0.2097) q[8];\nrz(0.2097) q[5];\nrz(0.1851) q[3];\nh q[0];\nrz(-0.7114) q[0];\nh q[0];\nh q[1];\nrz(-0.7114) q[1];\nh q[1];\nh q[2];\nrz(-0.7114) q[2];\nh q[2];\nh q[3];\nrz(-0.7114) q[3];\nh q[3];\nh q[4];\nrz(-0.7114) q[4];\nh q[4];\nh q[5];\nrz(-0.7114) q[5];\nh q[5];\nh q[6];\nrz(-0.7114) q[6];\nh q[6];\nh q[7];\nrz(-0.7114) q[7];\nh q[7];\nh q[8];\nrz(-0.7114) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[0];\nrz(x2) q[0];\ncx q[4], q[0];\ncx q[2], q[0];\nrz(x3) q[0];\ncx q[2], q[0];\ncx q[6], q[0];\nrz(x4) q[0];\ncx q[6], q[0];\ncx q[4], q[1];\nrz(x5) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(x6) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(x7) q[1];\ncx q[6], q[1];\ncx q[0], q[1];\nrz(x8) q[1];\ncx q[0], q[1];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x5) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(x10) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(x11) q[7];\ncx q[1], q[7];\ncx q[4], q[8];\nrz(x5) q[8];\ncx q[4], q[8];\ncx q[2], q[8];\nrz(x6) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x5) q[8];\ncx q[6], q[8];\ncx q[0], q[8];\nrz(x11) q[8];\ncx q[0], q[8];\ncx q[1], q[8];\nrz(x6) q[8];\ncx q[1], q[8];\ncx q[7], q[8];\nrz(x5) q[8];\ncx q[7], q[8];\ncx q[4], q[5];\nrz(x5) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x5) q[5];\ncx q[6], q[5];\ncx q[0], q[5];\nrz(x11) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x12) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(x5) q[5];\ncx q[8], q[5];\ncx q[4], q[3];\nrz(x5) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x13) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x10) q[3];\ncx q[6], q[3];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x5) q[3];\ncx q[1], q[3];\nrz(x14) q[4];\nrz(x15) q[2];\nrz(x16) q[6];\nrz(x17) q[0];\nrz(x18) q[1];\nrz(x19) q[7];\nrz(x1) q[8];\nrz(x1) q[5];\nrz(x2) q[3];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nh q[7];\nrz(x20) q[7];\nh q[7];\nh q[8];\nrz(x20) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["f619afa25c1921f996d128a1dfefef72","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 5}]}","{\"states\": [22, 27], \"expectation_value\": -0.14838678407453113, \"params\": [[-0.047900000000000005, -0.0545], [0.0618, 0.0653]], \"bitstrings\": [\"101001\", \"100100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.018083872012694624, 0.01926875217667435], \"optimization_time\": 2.9366791248321533}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5)",1,6,2,"{\"smallest_eigenvalues\": [-3.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0479) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0479) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(-0.0479) q[4];\ncx q[0], q[4];\ncx q[2], q[3];\nrz(-0.0479) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(-0.0479) q[5];\ncx q[3], q[5];\nrz(0) q[1];\nrz(0.0958) q[0];\nrz(0.0479) q[2];\nrz(0) q[4];\nrz(0.0479) q[3];\nrz(0) q[5];\nh q[0];\nrz(0.1236) q[0];\nh q[0];\nh q[1];\nrz(0.1236) q[1];\nh q[1];\nh q[2];\nrz(0.1236) q[2];\nh q[2];\nh q[3];\nrz(0.1236) q[3];\nh q[3];\nh q[4];\nrz(0.1236) q[4];\nh q[4];\nh q[5];\nrz(0.1236) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0545) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0545) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(-0.0545) q[4];\ncx q[0], q[4];\ncx q[2], q[3];\nrz(-0.0545) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(-0.0545) q[5];\ncx q[3], q[5];\nrz(0) q[1];\nrz(0.109) q[0];\nrz(0.0545) q[2];\nrz(0) q[4];\nrz(0.0545) q[3];\nrz(0) q[5];\nh q[0];\nrz(0.1306) q[0];\nh q[0];\nh q[1];\nrz(0.1306) q[1];\nh q[1];\nh q[2];\nrz(0.1306) q[2];\nh q[2];\nh q[3];\nrz(0.1306) q[3];\nh q[3];\nh q[4];\nrz(0.1306) q[4];\nh q[4];\nh q[5];\nrz(0.1306) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x1) q[4];\nrz(x3) q[3];\nrz(x1) q[5];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x5) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x5) q[4];\ncx q[0], q[4];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(x5) q[5];\ncx q[3], q[5];\nrz(x1) q[1];\nrz(x6) q[0];\nrz(x7) q[2];\nrz(x1) q[4];\nrz(x7) q[3];\nrz(x1) q[5];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["69144809aea48cb46eae9c3950f24a15","graph_coloring","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 1}, {\"id\": 2}, {\"id\": 0}, {\"id\": 3}], \"edges\": [{\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 0, \"target\": 3}]}","{\"states\": [3443, 3445], \"expectation_value\": -6.245388836691124, \"params\": null, \"bitstrings\": [\"001010001100\", \"001010001010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.0570046881067329, 0.8149526781416564], \"optimization_time\": 236.62577724456787}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(7)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(8)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.75 * Z(4) + 0.75 * Z(3) + 0.75 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8) + 0.75 * Z(1) + 0.75 * Z(0) + 0.75 * Z(2) + 1.0 * Z(9) + 1.0 * Z(10) + 1.0 * Z(11)",1,12,4,"{\"smallest_eigenvalues\": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], \"number_of_smallest_eigenvalues\": 24, \"first_excited_energy\": -5.25, \"smallest_bitstrings\": [\"010001010100\", \"010001010001\", \"010010001100\", \"010001100001\", \"001100001100\", \"001100001010\", \"010100010001\", \"001100010100\", \"100100010001\", \"100100001010\", \"010010100001\", \"010100010100\", \"010100001100\", \"001010100010\", \"001010001100\", \"001010001010\", \"100001100010\", \"100001100001\", \"100001010001\", \"001001100010\", \"100010100010\", \"100010100001\", \"001001010100\", \"100010001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\nry(1.5681) q[7];\nry(1.5486) q[5];\nry(1.5486) q[1];\nry(1.4449) q[6];\ncry(-1.4432) q[6], q[8];\ncry(-1.0342) q[9], q[10];\nry(1.069) q[9];\ncry(-0.724) q[11], q[10];\ncry(0.3812) q[1], q[9];\ncry(-1.0341) q[3], q[4];\ncry(-1.0341) q[0], q[2];\nry(0.7655) q[0];\ncry(0.7044) q[7], q[3];\ncry(-0.5098) q[1], q[2];\ncry(0.4961) q[7], q[0];\nry(-0.4584) q[4];\ncry(0.4971) q[11], q[3];\ncry(-0.3786) q[1], q[4];\ncry(-0.3623) q[11], q[2];\ncry(-0.2543) q[7], q[10];\nry(0.2457) q[3];\ncry(0.2129) q[1], q[0];\ncry(-0.1465) q[11], q[4];\ncry(-0.1263) q[7], q[2];\ncry(-0.1165) q[11], q[8];\ncry(0.0904) q[1], q[6];\ncry(0.0839) q[1], q[3];\ncry(0.0814) q[5], q[9];\ncry(0.0671) q[5], q[0];\ncry(-0.053) q[1], q[10];\ncry(-0.0478) q[7], q[4];\ncry(-0.0386) q[5], q[2];\ncry(0.0222) q[1], q[5];\ncry(0.0209) q[5], q[1];\ncry(0.027) q[5], q[3];\ncry(0.0274) q[7], q[9];\ncry(-0.0157) q[5], q[10];\ncry(-0.0138) q[7], q[8];\ncry(-0.0153) q[5], q[4];\ncry(0.0203) q[6], q[0];\ncry(-0.0118) q[6], q[2];\ncry(0.0024) q[7], q[11];\ncry(0.0025) q[11], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"number_of_colors\": 3}",{"$cut":{"chars":127271,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nry(1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nry(1.4449) q[6];\\ncry(-1.4432) q[6], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nry(1.4449) q[6];\\ncry(-1.4432) q[6], q[8];\\ncry(-1.0342) q[9], q[10];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nry(1.4449) q[6];\\ncry(-1.4432) q[6], q[8];\\ncry(-1.0342) q[9], q[10];\\nry(1.069) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measu"}}]
["36ff2850f9ca4956ff6a75a44d9ad0dc","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [766, 1327], \"expectation_value\": -0.02252446922115765, \"params\": [[0.0033, 0.0034000000000000002, 0.004, 0.006200000000000001, 0.005, 0.0077, 0.0085, 0.0086, 0.006200000000000001, 0.0061, 0.0045000000000000005], [0.00030000000000000003, 0.0031000000000000003, -0.4398, 0.0044, 0.0085, 0.006, 0.0068000000000000005, 0.0019, 0.0026000000000000003, 0.0017000000000000001, 0.008400000000000001], [0.0028, 0.0057, 0.43710000000000004, -0.0023, 0.0035, 0.0035, 0.0033, 0.006, 0.0032, 0.0078000000000000005, 0.0009000000000000001]], \"bitstrings\": [\"10100000001\", \"01011010000\"], \"total_optimization_steps\": 50, \"probabilities\": [0.002305132630602332, 0.002305132753473171], \"optimization_time\": 36.4367778301239}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(1) @ Z(9)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(5) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(5) @ Z(1) @ Z(8)) + -0.125 * (Z(5) @ Z(1) @ Z(9)) + -0.125 * (Z(1) @ Z(8) @ Z(9)) + -0.125 * (Z(5) @ Z(8) @ Z(9)) + 0.125 * (Z(5) @ Z(1) @ Z(8) @ Z(9)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(10)) + 0.25 * (Z(10) @ Z(8)) + -0.25 * (Z(6) @ Z(10) @ Z(8)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(9) @ Z(3)) + 0.125 * (Z(7) @ Z(9)) + -0.125 * (Z(7) @ Z(2) @ Z(3)) + -0.125 * (Z(2) @ Z(9) @ Z(3)) + -0.125 * (Z(7) @ Z(9) @ Z(2)) + -0.125 * (Z(7) @ Z(9) @ Z(3)) + 0.125 * (Z(7) @ Z(2) @ Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(10)) + 0.0 * Z(0) + 0.125 * Z(1) + 0.125 * Z(2) + 0.125 * Z(3) + -0.25 * Z(4) + 0.125 * Z(5) + 0.0 * Z(6) + 0.125 * Z(7) + 0.125 * Z(8) + 0.25 * Z(9) + -0.25 * Z(10)",9,11,3,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 26, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"00101100100\", \"10100100001\", \"00110100001\", \"01011010000\", \"01010100001\", \"01101010000\", \"01010001001\", \"01010010001\", \"10000001011\", \"10000101001\", \"10000100011\", \"10001001100\", \"01001001001\", \"10000010011\", \"10000001101\", \"01001010010\", \"01001001100\", \"00101010100\", \"00101010010\", \"01001011000\", \"10001010010\", \"00101001100\", \"11000001001\", \"10010100001\", \"00101100001\", \"00101110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0033) q[0];\nrx(0.0034) q[1];\nrx(0.004) q[2];\nrx(0.0062) q[3];\nrx(0.005) q[4];\nrx(0.0077) q[5];\nrx(0.0085) q[6];\nrx(0.0086) q[7];\nrx(0.0062) q[8];\nrx(0.0061) q[9];\nrx(0.0045) q[10];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0003) q[0];\nrx(0.0031) q[1];\nrx(-0.4398) q[2];\nrx(0.0044) q[3];\nrx(0.0085) q[4];\nrx(0.006) q[5];\nrx(0.0068) q[6];\nrx(0.0019) q[7];\nrx(0.0026) q[8];\nrx(0.0017) q[9];\nrx(0.0084) q[10];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0028) q[0];\nrx(0.0057) q[1];\nrx(0.4371) q[2];\nrx(-0.0023) q[3];\nrx(0.0035) q[4];\nrx(0.0035) q[5];\nrx(0.0033) q[6];\nrx(0.006) q[7];\nrx(0.0032) q[8];\nrx(0.0078) q[9];\nrx(0.0009) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nrx(x6) q[6];\nrx(x7) q[7];\nrx(x3) q[8];\nrx(x8) q[9];\nrx(x9) q[10];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x10) q[0];\nrx(x11) q[1];\nrx(x12) q[2];\nrx(x13) q[3];\nrx(x6) q[4];\nrx(x14) q[5];\nrx(x15) q[6];\nrx(x16) q[7];\nrx(x17) q[8];\nrx(x18) q[9];\nrx(x19) q[10];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x20) q[0];\nrx(x21) q[1];\nrx(x22) q[2];\nrx(x23) q[3];\nrx(x24) q[4];\nrx(x24) q[5];\nrx(x0) q[6];\nrx(x14) q[7];\nrx(x25) q[8];\nrx(x26) q[9];\nrx(x27) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["02575a12c565dc28617818fe7f0b4a99","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 19, \"source\": 0, \"target\": 6}, {\"weight\": 11, \"source\": 0, \"target\": 4}, {\"weight\": 11, \"source\": 1, \"target\": 3}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 3, \"target\": 5}, {\"weight\": 17, \"source\": 3, \"target\": 6}, {\"weight\": 8, \"source\": 4, \"target\": 5}]}","{\"states\": [124, 118], \"expectation_value\": -8.236459644649543, \"params\": [[-0.0514], [0.0621]], \"bitstrings\": [\"10000011\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006941240881682552, 0.007395548769814734], \"optimization_time\": 2.029224395751953}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z(2) + 13.5 * Z(3) + 9.0 * Z(4) + 14.0 * Z(5) + 16.5 * Z(6) + 4.0 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-58.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -52.5, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.4112) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.4112) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.4112) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.4112) q[3];\ncx q[0], q[3];\ncx q[3], q[4];\nrz(-0.4112) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.4112) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.4112) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.4112) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.4112) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.4112) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.4112) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.4112) q[7];\ncx q[1], q[7];\ncx q[5], q[7];\nrz(-0.4112) q[7];\ncx q[5], q[7];\nrz(-0.9766) q[1];\nrz(-0.771) q[0];\nrz(-1.3878) q[2];\nrz(-1.3878) q[3];\nrz(-0.9252) q[4];\nrz(-1.4392) q[5];\nrz(-1.6962) q[6];\nrz(-0.4112) q[7];\nh q[0];\nrz(0.1242) q[0];\nh q[0];\nh q[1];\nrz(0.1242) q[1];\nh q[1];\nh q[2];\nrz(0.1242) q[2];\nh q[2];\nh q[3];\nrz(0.1242) q[3];\nh q[3];\nh q[4];\nrz(0.1242) q[4];\nh q[4];\nh q[5];\nrz(0.1242) q[5];\nh q[5];\nh q[6];\nrz(0.1242) q[6];\nh q[6];\nh q[7];\nrz(0.1242) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x0) q[7];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["50ae2479d5601754158b9fc59193bb01","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}]}","{\"states\": [236, 204], \"expectation_value\": -2.854857288892862, \"params\": [0.5967, 0.5959, 0.5995, 0.5962000000000001, 0.3261, 0.3336, 0.0048000000000000004, 0.0031000000000000003, 0.5939, 0.5951000000000001, 0.6058, 0.6046, 0.0016, -0.0009000000000000001, 0.108, 0.10600000000000001, 0.5963, 0.5963, 0.5918, 0.5921000000000001, 0.3335, 0.3327, 0.0015, 0.0015, 0.5942000000000001, 0.5986, 0.6045, 0.6076, 0.0047, 0.0, 0.111, 0.1071, 0.2296, 0.24730000000000002, 0.1464, 0.111, -0.0117, -0.134, 0.189, -0.19260000000000002, 0.2992, 0.19460000000000002, -0.0009000000000000001, 0.29460000000000003, 0.0013000000000000002, -0.001, 0.44570000000000004, 0.0013000000000000002, 0.1968, 0.008400000000000001, -0.203, 0.0013000000000000002, -0.2151, 0.0067, 0.2025, 0.0023, 0.3336, 0.0035, -0.0012000000000000001, 0.0007, 0.0011, 0.0025, 0.4, 0.0029000000000000002], \"bitstrings\": [\"00010011\", \"00110011\"], \"total_optimization_steps\": 60, \"probabilities\": [0.18934469554052719, 0.34120489950560573], \"optimization_time\": 67.28856825828552}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(7) @ Z(2)) + 0.125 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + -0.125 * Z(4) + 0.125 * Z(5) + -0.625 * Z(3) + -1.0 * Z(6) + -0.25 * Z(7)",13,8,2,"{\"smallest_eigenvalues\": [-3.625, -3.625, -3.625, -3.625], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.625, \"smallest_bitstrings\": [\"01010011\", \"00111010\", \"10010011\", \"00110011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.5967) q[0];\nry(0.5995) q[1];\nry(0.3261) q[2];\nry(0.0048) q[3];\nry(0.5939) q[4];\nry(0.6058) q[5];\nry(0.0016) q[6];\nry(0.108) q[7];\ncrz(0.2296) q[7], q[0];\ncrz(0.4457) q[6], q[7];\ncrz(0.0013) q[5], q[6];\ncrz(-0.0009) q[4], q[5];\ncrz(0.2992) q[3], q[4];\ncrz(0.189) q[2], q[3];\ncrz(-0.0117) q[1], q[2];\ncrz(0.1464) q[0], q[1];\nry(0.5959) q[0];\nry(0.5962) q[1];\nry(0.3336) q[2];\nry(0.0031) q[3];\nry(0.5951) q[4];\nry(0.6046) q[5];\nry(-0.0009) q[6];\nry(0.106) q[7];\ncrz(0.2473) q[7], q[6];\ncrz(0.111) q[0], q[7];\ncrz(-0.134) q[0], q[1];\ncrz(-0.1926) q[1], q[2];\ncrz(0.1946) q[2], q[3];\ncrz(0.2946) q[3], q[4];\ncrz(-0.001) q[4], q[5];\ncrz(0.0013) q[5], q[6];\nry(0.5963) q[0];\nry(0.5918) q[1];\nry(0.3335) q[2];\nry(0.0015) q[3];\nry(0.5942) q[4];\nry(0.6045) q[5];\nry(0.0047) q[6];\nry(0.111) q[7];\ncrz(0.1968) q[7], q[0];\ncrz(0.4) q[6], q[7];\ncrz(0.0011) q[5], q[6];\ncrz(-0.0012) q[4], q[5];\ncrz(0.3336) q[3], q[4];\ncrz(0.2025) q[2], q[3];\ncrz(-0.2151) q[1], q[2];\ncrz(-0.203) q[0], q[1];\nry(0.5963) q[0];\nry(0.5921) q[1];\nry(0.3327) q[2];\nry(0.0015) q[3];\nry(0.5986) q[4];\nry(0.6076) q[5];\nry(0) q[6];\nry(0.1071) q[7];\ncrz(0.0084) q[7], q[6];\ncrz(0.0013) q[0], q[7];\ncrz(0.0067) q[0], q[1];\ncrz(0.0023) q[1], q[2];\ncrz(0.0035) q[2], q[3];\ncrz(0.0007) q[3], q[4];\ncrz(0.0025) q[4], q[5];\ncrz(0.0029) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncrz(x8) q[7], q[0];\ncrz(x9) q[6], q[7];\ncrz(x10) q[5], q[6];\ncrz(x11) q[4], q[5];\ncrz(x12) q[3], q[4];\ncrz(x13) q[2], q[3];\ncrz(x14) q[1], q[2];\ncrz(x15) q[0], q[1];\nry(x16) q[0];\nry(x17) q[1];\nry(x18) q[2];\nry(x19) q[3];\nry(x20) q[4];\nry(x21) q[5];\nry(x11) q[6];\nry(x22) q[7];\ncrz(x23) q[7], q[6];\ncrz(x24) q[0], q[7];\ncrz(x25) q[0], q[1];\ncrz(x26) q[1], q[2];\ncrz(x27) q[2], q[3];\ncrz(x28) q[3], q[4];\ncrz(x29) q[4], q[5];\ncrz(x10) q[5], q[6];\nry(x30) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x24) q[7];\ncrz(x37) q[7], q[0];\ncrz(x38) q[6], q[7];\ncrz(x39) q[5], q[6];\ncrz(x40) q[4], q[5];\ncrz(x18) q[3], q[4];\ncrz(x41) q[2], q[3];\ncrz(x42) q[1], q[2];\ncrz(x43) q[0], q[1];\nry(x30) q[0];\nry(x44) q[1];\nry(x45) q[2];\nry(x33) q[3];\nry(x46) q[4];\nry(x47) q[5];\nry(x48) q[6];\nry(x49) q[7];\ncrz(x50) q[7], q[6];\ncrz(x10) q[0], q[7];\ncrz(x51) q[0], q[1];\ncrz(x52) q[1], q[2];\ncrz(x53) q[2], q[3];\ncrz(x54) q[3], q[4];\ncrz(x55) q[4], q[5];\ncrz(x56) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["7622482813744206840","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[0, 3, 7, 9, 11], [0, 5, 7, 8, 9], [8, 3], [10, 7], [1, 2, 5, 6, 8, 10, 11], [2, 4, 6], [9, 3, 4, 6], [0, 1, 3, 7, 11], [11, 4], [0, 2, 3, 4, 5, 9], [0, 1, 2, 5, 6, 7, 9], [2, 5, 8, 9, 10, 11], [9, 3, 1], [1, 3, 5, 6, 10, 11], [0, 1, 2, 4, 5, 9, 10], [0, 1, 2, 5, 6, 7, 8], [0, 2, 3, 4, 5, 7], [2, 3, 6, 7], [0, 2, 11], [10, 3, 4, 5], [1, 3, 4, 7], [2, 3, 6, 9, 10, 11], [0, 1, 4, 5, 6, 7, 8], [0, 11, 3, 5]]}","{\"states\": [3957, 1909], \"expectation_value\": -4.250673862521217, \"params\": [0.7748, 0.8486, 1.5872000000000002, 1.5801, 1.3153000000000001, 1.576, 1.3821, 1.5824, 0.36150000000000004, 0.34490000000000004, 1.5779, 1.5826, 1.5906, 1.4271, 1.249, 1.2946, 0.30910000000000004, 0.25630000000000003, 1.5810000000000002, 1.5817, 1.5749, 1.5728, 1.5779, 1.5643, 0.42850000000000005, 1.5781, 1.1805, 0.19790000000000002, 0.5321, 1.0176, 1.0943, 0.9520000000000001, -0.0766, 0.9191, 0.060700000000000004, 0.23750000000000002, 0.2175, 1.0321, 0.7986000000000001, 0.6564, 0.14400000000000002, 0.9488000000000001, 0.3543, -0.0, 0.5699000000000001, 0.8071, 0.14800000000000002, 1.5817], \"bitstrings\": [\"000010001010\", \"100010001010\"], \"total_optimization_steps\": 160, \"probabilities\": [0.17921872192096563, 0.25350457541966787], \"optimization_time\": 17.282180786132812}","0.25 * (Z(0) @ Z(3)) + 0.3 * (Z(7) @ Z(3)) + 0.25476190476190474 * (Z(7) @ Z(0)) + 0.36666666666666664 * (Z(9) @ Z(3)) + 0.18095238095238095 * (Z(9) @ Z(0)) + 0.12380952380952381 * (Z(9) @ Z(7)) + 0.25 * (Z(11) @ Z(3)) + 0.35 * (Z(11) @ Z(0)) + 0.1 * (Z(11) @ Z(7)) + 0.11666666666666667 * (Z(11) @ Z(9)) + 0.26666666666666666 * (Z(5) @ Z(3)) + 0.29523809523809524 * (Z(5) @ Z(0)) + 0.15476190476190477 * (Z(5) @ Z(7)) + 0.16428571428571428 * (Z(5) @ Z(9)) + 0.1738095238095238 * (Z(5) @ Z(11)) + 0.5 * (Z(8) @ Z(3)) + 0.09761904761904762 * (Z(8) @ Z(0)) + 0.09761904761904762 * (Z(8) @ Z(7)) + 0.08333333333333334 * (Z(8) @ Z(9)) + 0.05714285714285714 * (Z(8) @ Z(11)) + 0.15476190476190477 * (Z(8) @ Z(5)) + 0.15 * (Z(10) @ Z(3)) + 0.023809523809523808 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(7)) + 0.09047619047619047 * (Z(10) @ Z(9)) + 0.12380952380952381 * (Z(10) @ Z(11)) + 0.1976190476190476 * (Z(10) @ Z(5)) + 0.05714285714285714 * (Z(10) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.14523809523809522 * (Z(1) @ Z(0)) + 0.20476190476190476 * (Z(1) @ Z(7)) + 0.21428571428571427 * (Z(1) @ Z(9)) + 0.10714285714285715 * (Z(1) @ Z(11)) + 0.15238095238095237 * (Z(1) @ Z(5)) + 0.07142857142857142 * (Z(1) @ Z(8)) + 0.08095238095238094 * (Z(1) @ Z(10)) + 0.18333333333333332 * (Z(2) @ Z(3)) + 0.30476190476190473 * (Z(2) @ Z(0)) + 0.16428571428571426 * (Z(2) @ Z(7)) + 0.14761904761904762 * (Z(2) @ Z(9)) + 0.2571428571428571 * (Z(2) @ Z(11)) + 0.1952380952380952 * (Z(2) @ Z(5)) + 0.08095238095238094 * (Z(2) @ Z(8)) + 0.11428571428571427 * (Z(2) @ Z(10)) + 0.09523809523809523 * (Z(2) @ Z(1)) + 0.23333333333333334 * (Z(6) @ Z(3)) + 0.07142857142857142 * (Z(6) @ Z(0)) + 0.15476190476190474 * (Z(6) @ Z(7)) + 0.14047619047619048 * (Z(6) @ Z(9)) + 0.09047619047619047 * (Z(6) @ Z(11)) + 0.12857142857142856 * (Z(6) @ Z(5)) + 0.07142857142857142 * (Z(6) @ Z(8)) + 0.09047619047619047 * (Z(6) @ Z(10)) + 0.12857142857142856 * (Z(6) @ Z(1)) + 0.3547619047619047 * (Z(6) @ Z(2)) + 0.31666666666666665 * (Z(4) @ Z(3)) + 0.11428571428571428 * (Z(4) @ Z(0)) + 0.14047619047619048 * (Z(4) @ Z(7)) + 0.14047619047619048 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(11)) + 0.1976190476190476 * (Z(4) @ Z(5)) + 0.023809523809523808 * (Z(4) @ Z(8)) + 0.10714285714285714 * (Z(4) @ Z(10)) + 0.13095238095238093 * (Z(4) @ Z(1)) + 0.2571428571428571 * (Z(4) @ Z(2)) + 0.27380952380952384 * (Z(4) @ Z(6)) + 1.3250000000000006 * Z(3) + 1.044047619047619 * Z(0) + 0.8476190476190475 * Z(7) + 0.884523809523809 * Z(9) + 0.8130952380952381 * Z(11) + 1.0404761904761908 * Z(5) + 0.39761904761904754 * Z(8) + 0.517857142857143 * Z(10) + 0.8321428571428571 * Z(1) + 1.0773809523809523 * Z(2) + 0.8690476190476191 * Z(6) + 0.851190476190476 * Z(4)",14,12,1,"{\"smallest_eigenvalues\": [-5.426190476190477], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.376190476190478, \"smallest_bitstrings\": [\"100010001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.7748) q[0];\nry(1.5872) q[1];\nry(1.3153) q[2];\nry(1.3821) q[3];\nry(0.3615) q[4];\nry(1.5779) q[5];\nry(1.5906) q[6];\nry(1.249) q[7];\nry(0.3091) q[8];\nry(1.581) q[9];\nry(1.5749) q[10];\nry(1.5779) q[11];\ncrx(0.4285) q[11], q[0];\ncrx(0.148) q[10], q[11];\ncrx(0.5699) q[9], q[10];\ncrx(0.3543) q[8], q[9];\ncrx(0.144) q[7], q[8];\ncrx(0.7986) q[6], q[7];\ncrx(0.2175) q[5], q[6];\ncrx(0.0607) q[4], q[5];\ncrx(-0.0766) q[3], q[4];\ncrx(1.0943) q[2], q[3];\ncrx(0.5321) q[1], q[2];\ncrx(1.1805) q[0], q[1];\nry(0.8486) q[0];\nry(1.5801) q[1];\nry(1.576) q[2];\nry(1.5824) q[3];\nry(0.3449) q[4];\nry(1.5826) q[5];\nry(1.4271) q[6];\nry(1.2946) q[7];\nry(0.2563) q[8];\nry(1.5817) q[9];\nry(1.5728) q[10];\nry(1.5643) q[11];\ncrx(1.5781) q[11], q[10];\ncrx(0.1979) q[0], q[11];\ncrx(1.0176) q[0], q[1];\ncrx(0.952) q[1], q[2];\ncrx(0.9191) q[2], q[3];\ncrx(0.2375) q[3], q[4];\ncrx(1.0321) q[4], q[5];\ncrx(0.6564) q[5], q[6];\ncrx(0.9488) q[6], q[7];\ncrx(0) q[7], q[8];\ncrx(0.8071) q[8], q[9];\ncrx(1.5817) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x5) q[11];\ncrx(x11) q[11], q[0];\ncrx(x12) q[10], q[11];\ncrx(x13) q[9], q[10];\ncrx(x14) q[8], q[9];\ncrx(x15) q[7], q[8];\ncrx(x16) q[6], q[7];\ncrx(x17) q[5], q[6];\ncrx(x18) q[4], q[5];\ncrx(x19) q[3], q[4];\ncrx(x20) q[2], q[3];\ncrx(x21) q[1], q[2];\ncrx(x22) q[0], q[1];\nry(x23) q[0];\nry(x24) q[1];\nry(x25) q[2];\nry(x26) q[3];\nry(x27) q[4];\nry(x28) q[5];\nry(x29) q[6];\nry(x30) q[7];\nry(x31) q[8];\nry(x32) q[9];\nry(x33) q[10];\nry(x34) q[11];\ncrx(x35) q[11], q[10];\ncrx(x36) q[0], q[11];\ncrx(x37) q[0], q[1];\ncrx(x38) q[1], q[2];\ncrx(x39) q[2], q[3];\ncrx(x40) q[3], q[4];\ncrx(x41) q[4], q[5];\ncrx(x42) q[5], q[6];\ncrx(x43) q[6], q[7];\ncrx(x44) q[7], q[8];\ncrx(x45) q[8], q[9];\ncrx(x32) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["e95c8bc22a5c03425fc32d877756198b","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [44, 28], \"expectation_value\": -3.996446952350972, \"params\": null, \"bitstrings\": [\"1010011\", \"1100011\"], \"total_optimization_steps\": 28, \"probabilities\": [0.06701298199200859, 0.929703967356024], \"optimization_time\": 22.617986917495728}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5)",1,7,3,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1100110\", \"1101100\", \"1010011\", \"0011101\", \"1100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nry(-1.4449) q[6];\nry(-1.4449) q[5];\nry(1.4417) q[3];\nry(1.4384) q[4];\ncry(-1.0398) q[2], q[1];\nry(0.7022) q[2];\ncry(-0.1259) q[4], q[5];\nry(-0.4578) q[1];\ncry(0.4969) q[3], q[2];\ncry(-0.3761) q[3], q[1];\ncry(0.2475) q[4], q[2];\ncry(-0.147) q[4], q[1];\ncry(-0.1214) q[4], q[6];\ncry(0.1236) q[3], q[4];\ncry(0.1186) q[4], q[3];\ncry(-0.0223) q[1], q[2];\ncry(-0.0049) q[3], q[6];\ncry(-0.0005) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\ncry(-0.0223) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\ncry(-0.0223) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\ncry(-0.0223) q[1], q[2];\\ncry(-0.0049) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\ncry(-0.0223) q[1], q[2];\\ncry(-0.0049) q[3], q[6];\\ncry(-0.0005) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\ncry(-0.0223) q[1], q[2];\\ncry(-0.0049) q[3], q[6];\\ncry(-0.0005) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[6];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4384) q[4];\\ncry(-1.0398) q[2], q[1];\\nry(0.7022) q[2];\\ncry(-0.1259) q[4], q[5];\\nry(-0.4578) q[1];\\ncry(0.4969) q[3], q[2];\\ncry(-0.3761) q[3], q[1];\\ncry(0.2475) q[4], q[2];\\ncry(-0.147) q[4], q[1];\\ncry(-0.1214) q[4], q[6];\\ncry(0.1236) q[3], q[4];\\ncry(0.1186) q[4], q[3];\\ncry(-0.0223) q[1], q[2];\\ncry(-0.0049) q[3], q[6];\\ncry(-0.0005) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.51, 0.5043, 0.503, 0.4961, 0.4917, 0.253, 0.2462, 0.1917, 0.1912, 0.2244, 0.1882, 0.1266, 0.078, 0.0726, 0.0641, 0.0617, 0.0097, 0.0073, 0.0073, 0.006, 0.0049, 0.0049, 0.0048, 0.0045, 0.004, 0.0038, 0.003, 0.0028]}"]
["fa12f3a697c97a90a7d75ad197dde7b9","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 5}]}","{\"states\": [3, 7], \"expectation_value\": -0.8626245168255811, \"params\": [[[0.4249, -0.0839], [0.4277, 0.0849], [0.4142, 0.08460000000000001], [0.5942000000000001, 0.0033], [0.5940000000000001, -0.0012000000000000001], [0.5896, 0.0033]], [[0.42560000000000003, 0.0839], [0.4214, 0.0849], [0.4212, 0.08460000000000001], [0.5885, 0.0033], [0.5945, -0.0012000000000000001], [0.5969, 0.0033]], [[0.42300000000000004, 0.0059], [0.4252, 0.0031000000000000003], [0.4181, 0.0021000000000000003], [0.5888, 0.0094], [0.5962000000000001, 0.0049], [0.5898, 0.0025]]], \"bitstrings\": [\"111100\", \"111000\"], \"total_optimization_steps\": 60, \"probabilities\": [0.040267441178091806, 0.06032078203590842], \"optimization_time\": 3.2749552726745605}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * (Z(5) @ Z(4)) + -0.75 * Z(1) + -0.75 * Z(0) + -0.75 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5)",1,6,3,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.4249) q[0];\nrz(-0.0839) q[0];\nrx(0.4277) q[1];\nrz(0.0849) q[1];\nrx(0.4142) q[2];\nrz(0.0846) q[2];\nrx(0.5942) q[3];\nrz(0.0033) q[3];\nrx(0.594) q[4];\nrz(-0.0012) q[4];\nrx(0.5896) q[5];\nrz(0.0033) q[5];\nrx(0.4256) q[0];\nrz(0.0839) q[0];\nrx(0.4214) q[1];\nrz(0.0849) q[1];\nrx(0.4212) q[2];\nrz(0.0846) q[2];\nrx(0.5885) q[3];\nrz(0.0033) q[3];\nrx(0.5945) q[4];\nrz(-0.0012) q[4];\nrx(0.5969) q[5];\nrz(0.0033) q[5];\nrx(0.423) q[0];\nrz(0.0059) q[0];\nrx(0.4252) q[1];\nrz(0.0031) q[1];\nrx(0.4181) q[2];\nrz(0.0021) q[2];\nrx(0.5888) q[3];\nrz(0.0094) q[3];\nrx(0.5962) q[4];\nrz(0.0049) q[4];\nrx(0.5898) q[5];\nrz(0.0025) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x7) q[5];\nrx(x11) q[0];\nrz(x12) q[0];\nrx(x13) q[1];\nrz(x3) q[1];\nrx(x14) q[2];\nrz(x5) q[2];\nrx(x15) q[3];\nrz(x7) q[3];\nrx(x16) q[4];\nrz(x9) q[4];\nrx(x17) q[5];\nrz(x7) q[5];\nrx(x18) q[0];\nrz(x19) q[0];\nrx(x20) q[1];\nrz(x21) q[1];\nrx(x22) q[2];\nrz(x23) q[2];\nrx(x24) q[3];\nrz(x25) q[3];\nrx(x26) q[4];\nrz(x27) q[4];\nrx(x28) q[5];\nrz(x29) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["e24c28a1225e0371d997320aeb87abff","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [2886, 2910], \"expectation_value\": -1.6595011409900962, \"params\": [[[0.0936, 0.0889, 0.0066, 0.0077], [0.0945, -0.0961, 0.4948, 0.24680000000000002], [0.0005, -0.186, -0.11170000000000001, -0.1985], [0.042800000000000005, -0.3382, 0.09040000000000001, -0.3795], [0.0684, 0.3206, -0.0333, 0.18760000000000002], [-0.001, -0.3895, 0.48410000000000003, -0.2093], [0.31970000000000004, 0.2631, 0.0777, 0.0695], [0.2351, -0.45220000000000005, 0.5033, 0.13920000000000002], [0.39330000000000004, -0.2957, 0.2786, -0.3854], [0.49670000000000003, 0.3168, 0.4877, -0.3568], [0.24650000000000002, 0.3131, 0.2753, 0.3909], [0.2908, 0.4642, 0.0037, 0.0057]], [[0.0816, -0.0906, 0.007200000000000001, 0.0066], [0.4948, 0.09530000000000001, 0.1487, 0.1039], [0.2546, -0.1092, -0.1211, 0.1642], [-0.0441, -0.3578, 0.4853, -0.32230000000000003], [0.27080000000000004, -0.2692, 0.14070000000000002, 0.3967], [0.2449, 0.4169, 0.43420000000000003, 0.1627], [0.4958, 0.0354, 0.4898, 0.4748], [0.4978, 0.367, 0.49110000000000004, -0.0536], [0.2923, -0.23970000000000002, 0.2369, -0.0359], [0.1646, 0.37170000000000003, 0.3926, 0.3129], [0.5054000000000001, 0.1296, 0.49720000000000003, -0.19770000000000001], [-0.28300000000000003, 0.35650000000000004, 0.0059, 0.0043]], [[0.31880000000000003, 0.0031000000000000003, 0.0021000000000000003, 0.0061], [0.012, -0.261, 0.276, -0.1087], [0.49760000000000004, 0.052700000000000004, 0.29960000000000003, -0.1971], [0.0835, 0.2805, 0.5011, -0.0714], [0.4884, 0.1342, 0.48950000000000005, 0.11850000000000001], [0.33430000000000004, 0.1298, 0.29100000000000004, -0.2031], [0.4988, 0.41910000000000003, 0.2685, -0.3179], [0.3276, 0.4753, 0.47640000000000005, 0.3244], [0.4943, 0.07590000000000001, 0.48260000000000003, 0.15410000000000001], [0.504, 0.3327, 0.4979, -0.1155], [0.5036, -0.11030000000000001, 0.49810000000000004, -0.0038], [0.49250000000000005, 0.4461, 0.0058000000000000005, 0.004200000000000001]], [[-0.1375, -0.3487, 0.0033, 0.0011], [0.49720000000000003, -0.3539, 0.29250000000000004, 0.0055000000000000005], [0.19290000000000002, 0.2675, 0.4964, 0.003], [0.5015000000000001, 0.2162, 0.5009, 0.0059], [0.3715, -0.1612, 0.4867, 0.004], [0.1432, 0.39680000000000004, 0.24250000000000002, 0.009600000000000001], [0.0984, -0.3854, 0.3357, 0.008], [0.5049, -0.388, 0.5024000000000001, 0.0081], [0.49400000000000005, 0.191, 0.2657, 0.0019], [0.092, -0.36710000000000004, 0.5029, 0.0004], [0.47640000000000005, -0.06910000000000001, 0.4662, 0.006900000000000001], [0.0688, 0.0013000000000000002, 0.0031000000000000003, 0.0002]]], \"bitstrings\": [\"010010111001\", \"010010100001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.035995684989275134, 0.0510193780379891], \"optimization_time\": 34.144553661346436}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(0) @ Z(9)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(8)) + 0.0625 * (Z(3) @ Z(9)) + 0.0625 * (Z(6) @ Z(8)) + 0.0625 * (Z(6) @ Z(9)) + 0.0625 * (Z(8) @ Z(9)) + -0.0625 * (Z(6) @ Z(0) @ Z(3)) + -0.0625 * (Z(0) @ Z(3) @ Z(8)) + -0.0625 * (Z(0) @ Z(3) @ Z(9)) + -0.0625 * (Z(6) @ Z(0) @ Z(8)) + -0.0625 * (Z(6) @ Z(0) @ Z(9)) + -0.0625 * (Z(0) @ Z(8) @ Z(9)) + -0.0625 * (Z(6) @ Z(3) @ Z(8)) + -0.0625 * (Z(6) @ Z(3) @ Z(9)) + -0.0625 * (Z(3) @ Z(8) @ Z(9)) + -0.0625 * (Z(6) @ Z(8) @ Z(9)) + 0.0625 * (Z(6) @ Z(0) @ Z(3) @ Z(8)) + 0.0625 * (Z(6) @ Z(0) @ Z(3) @ Z(9)) + 0.0625 * (Z(0) @ Z(3) @ Z(8) @ Z(9)) + 0.0625 * (Z(6) @ Z(0) @ Z(8) @ Z(9)) + 0.0625 * (Z(6) @ Z(3) @ Z(8) @ Z(9)) + -0.0625 * (Z(0) @ Z(6) @ Z(9) @ Z(3) @ Z(8)) + 0.5 * (Z(10) @ Z(11)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(10) @ Z(1)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(8) @ Z(4)) + 0.0625 * (Z(10) @ Z(4)) + 0.0625 * (Z(7) @ Z(8)) + 0.0625 * (Z(10) @ Z(7)) + 0.0625 * (Z(10) @ Z(8)) + -0.0625 * (Z(7) @ Z(1) @ Z(4)) + -0.0625 * (Z(1) @ Z(8) @ Z(4)) + -0.0625 * (Z(10) @ Z(1) @ Z(4)) + -0.0625 * (Z(7) @ Z(8) @ Z(1)) + -0.0625 * (Z(10) @ Z(7) @ Z(1)) + -0.0625 * (Z(10) @ Z(8) @ Z(1)) + -0.0625 * (Z(7) @ Z(8) @ Z(4)) + -0.0625 * (Z(10) @ Z(7) @ Z(4)) + -0.0625 * (Z(10) @ Z(8) @ Z(4)) + -0.0625 * (Z(10) @ Z(7) @ Z(8)) + 0.0625 * (Z(7) @ Z(1) @ Z(8) @ Z(4)) + 0.0625 * (Z(10) @ Z(7) @ Z(1) @ Z(4)) + 0.0625 * (Z(10) @ Z(1) @ Z(8) @ Z(4)) + 0.0625 * (Z(10) @ Z(7) @ Z(8) @ Z(1)) + 0.0625 * (Z(10) @ Z(7) @ Z(8) @ Z(4)) + -0.0625 * (Z(4) @ Z(10) @ Z(1) @ Z(7) @ Z(8)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(11) @ Z(2)) + 0.125 * (Z(5) @ Z(9)) + 0.125 * (Z(5) @ Z(11)) + 0.125 * (Z(11) @ Z(9)) + -0.125 * (Z(5) @ Z(9) @ Z(2)) + -0.125 * (Z(5) @ Z(11) @ Z(2)) + -0.125 * (Z(11) @ Z(9) @ Z(2)) + -0.125 * (Z(5) @ Z(11) @ Z(9)) + 0.125 * (Z(5) @ Z(11) @ Z(9) @ Z(2)) + 0.1875 * Z(0) + 0.1875 * Z(1) + 0.125 * Z(2) + 0.1875 * Z(3) + 0.1875 * Z(4) + 0.125 * Z(5) + -0.0625 * Z(6) + -0.0625 * Z(7) + 0.375 * Z(8) + 0.3125 * Z(9) + -0.0625 * Z(10) + -0.125 * Z(11)",11,12,4,"{\"smallest_eigenvalues\": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], \"number_of_smallest_eigenvalues\": 17, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"010010100001\", \"001100100010\", \"010001100001\", \"010100010001\", \"010001100010\", \"001100010010\", \"001100010001\", \"010100100001\", \"100100010001\", \"001010100010\", \"001010100001\", \"100001010010\", \"100001010001\", \"100010010001\", \"100001100010\", \"001001100010\", \"100010100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.0936) q[0];\nrz(0.0889) q[0];\nry(0.0945) q[1];\nrz(-0.0961) q[1];\nry(0.0005) q[2];\nrz(-0.186) q[2];\nry(0.0428) q[3];\nrz(-0.3382) q[3];\nry(0.0684) q[4];\nrz(0.3206) q[4];\nry(-0.001) q[5];\nrz(-0.3895) q[5];\nry(0.3197) q[6];\nrz(0.2631) q[6];\nry(0.2351) q[7];\nrz(-0.4522) q[7];\nry(0.3933) q[8];\nrz(-0.2957) q[8];\nry(0.4967) q[9];\nrz(0.3168) q[9];\nry(0.2465) q[10];\nrz(0.3131) q[10];\nry(0.2908) q[11];\nrz(0.4642) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(0.4948) q[1];\nrz(0.2468) q[1];\nry(-0.1117) q[2];\nrz(-0.1985) q[2];\ncx q[2], q[1];\nry(0.0904) q[3];\nrz(-0.3795) q[3];\nry(-0.0333) q[4];\nrz(0.1876) q[4];\ncx q[4], q[3];\nry(0.4841) q[5];\nrz(-0.2093) q[5];\nry(0.0777) q[6];\nrz(0.0695) q[6];\ncx q[6], q[5];\nry(0.5033) q[7];\nrz(0.1392) q[7];\nry(0.2786) q[8];\nrz(-0.3854) q[8];\ncx q[8], q[7];\nry(0.4877) q[9];\nrz(-0.3568) q[9];\nry(0.2753) q[10];\nrz(0.3909) q[10];\ncx q[10], q[9];\nry(0.0816) q[0];\nrz(-0.0906) q[0];\nry(0.4948) q[1];\nrz(0.0953) q[1];\nry(0.2546) q[2];\nrz(-0.1092) q[2];\nry(-0.0441) q[3];\nrz(-0.3578) q[3];\nry(0.2708) q[4];\nrz(-0.2692) q[4];\nry(0.2449) q[5];\nrz(0.4169) q[5];\nry(0.4958) q[6];\nrz(0.0354) q[6];\nry(0.4978) q[7];\nrz(0.367) q[7];\nry(0.2923) q[8];\nrz(-0.2397) q[8];\nry(0.1646) q[9];\nrz(0.3717) q[9];\nry(0.5054) q[10];\nrz(0.1296) q[10];\nry(-0.283) q[11];\nrz(0.3565) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(0.1487) q[1];\nrz(0.1039) q[1];\nry(-0.1211) q[2];\nrz(0.1642) q[2];\ncx q[2], q[1];\nry(0.4853) q[3];\nrz(-0.3223) q[3];\nry(0.1407) q[4];\nrz(0.3967) q[4];\ncx q[4], q[3];\nry(0.4342) q[5];\nrz(0.1627) q[5];\nry(0.4898) q[6];\nrz(0.4748) q[6];\ncx q[6], q[5];\nry(0.4911) q[7];\nrz(-0.0536) q[7];\nry(0.2369) q[8];\nrz(-0.0359) q[8];\ncx q[8], q[7];\nry(0.3926) q[9];\nrz(0.3129) q[9];\nry(0.4972) q[10];\nrz(-0.1977) q[10];\ncx q[10], q[9];\nry(0.3188) q[0];\nrz(0.0031) q[0];\nry(0.012) q[1];\nrz(-0.261) q[1];\nry(0.4976) q[2];\nrz(0.0527) q[2];\nry(0.0835) q[3];\nrz(0.2805) q[3];\nry(0.4884) q[4];\nrz(0.1342) q[4];\nry(0.3343) q[5];\nrz(0.1298) q[5];\nry(0.4988) q[6];\nrz(0.4191) q[6];\nry(0.3276) q[7];\nrz(0.4753) q[7];\nry(0.4943) q[8];\nrz(0.0759) q[8];\nry(0.504) q[9];\nrz(0.3327) q[9];\nry(0.5036) q[10];\nrz(-0.1103) q[10];\nry(0.4925) q[11];\nrz(0.4461) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(0.276) q[1];\nrz(-0.1087) q[1];\nry(0.2996) q[2];\nrz(-0.1971) q[2];\ncx q[2], q[1];\nry(0.5011) q[3];\nrz(-0.0714) q[3];\nry(0.4895) q[4];\nrz(0.1185) q[4];\ncx q[4], q[3];\nry(0.291) q[5];\nrz(-0.2031) q[5];\nry(0.2685) q[6];\nrz(-0.3179) q[6];\ncx q[6], q[5];\nry(0.4764) q[7];\nrz(0.3244) q[7];\nry(0.4826) q[8];\nrz(0.1541) q[8];\ncx q[8], q[7];\nry(0.4979) q[9];\nrz(-0.1155) q[9];\nry(0.4981) q[10];\nrz(-0.0038) q[10];\ncx q[10], q[9];\nry(-0.1375) q[0];\nrz(-0.3487) q[0];\nry(0.4972) q[1];\nrz(-0.3539) q[1];\nry(0.1929) q[2];\nrz(0.2675) q[2];\nry(0.5015) q[3];\nrz(0.2162) q[3];\nry(0.3715) q[4];\nrz(-0.1612) q[4];\nry(0.1432) q[5];\nrz(0.3968) q[5];\nry(0.0984) q[6];\nrz(-0.3854) q[6];\nry(0.5049) q[7];\nrz(-0.388) q[7];\nry(0.494) q[8];\nrz(0.191) q[8];\nry(0.092) q[9];\nrz(-0.3671) q[9];\nry(0.4764) q[10];\nrz(-0.0691) q[10];\nry(0.0688) q[11];\nrz(0.0013) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(0.2925) q[1];\nrz(0.0055) q[1];\nry(0.4964) q[2];\nrz(0.003) q[2];\ncx q[2], q[1];\nry(0.5009) q[3];\nrz(0.0059) q[3];\nry(0.4867) q[4];\nrz(0.004) q[4];\ncx q[4], q[3];\nry(0.2425) q[5];\nrz(0.0096) q[5];\nry(0.3357) q[6];\nrz(0.008) q[6];\ncx q[6], q[5];\nry(0.5024) q[7];\nrz(0.0081) q[7];\nry(0.2657) q[8];\nrz(0.0019) q[8];\ncx q[8], q[7];\nry(0.5029) q[9];\nrz(0.0004) q[9];\nry(0.4662) q[10];\nrz(0.0069) q[10];\ncx q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x18) q[9];\nrz(x19) q[9];\nry(x20) q[10];\nrz(x21) q[10];\nry(x22) q[11];\nrz(x23) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x24) q[1];\nrz(x25) q[1];\nry(x26) q[2];\nrz(x27) q[2];\ncx q[2], q[1];\nry(x28) q[3];\nrz(x29) q[3];\nry(x30) q[4];\nrz(x31) q[4];\ncx q[4], q[3];\nry(x32) q[5];\nrz(x33) q[5];\nry(x34) q[6];\nrz(x35) q[6];\ncx q[6], q[5];\nry(x36) q[7];\nrz(x37) q[7];\nry(x38) q[8];\nrz(x39) q[8];\ncx q[8], q[7];\nry(x40) q[9];\nrz(x41) q[9];\nry(x42) q[10];\nrz(x43) q[10];\ncx q[10], q[9];\nry(x44) q[0];\nrz(x45) q[0];\nry(x24) q[1];\nrz(x46) q[1];\nry(x47) q[2];\nrz(x48) q[2];\nry(x49) q[3];\nrz(x50) q[3];\nry(x51) q[4];\nrz(x52) q[4];\nry(x53) q[5];\nrz(x54) q[5];\nry(x55) q[6];\nrz(x56) q[6];\nry(x57) q[7];\nrz(x58) q[7];\nry(x59) q[8];\nrz(x60) q[8];\nry(x61) q[9];\nrz(x62) q[9];\nry(x63) q[10];\nrz(x64) q[10];\nry(x65) q[11];\nrz(x66) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x67) q[1];\nrz(x68) q[1];\nry(x69) q[2];\nrz(x70) q[2];\ncx q[2], q[1];\nry(x71) q[3];\nrz(x72) q[3];\nry(x73) q[4];\nrz(x74) q[4];\ncx q[4], q[3];\nry(x75) q[5];\nrz(x76) q[5];\nry(x77) q[6];\nrz(x78) q[6];\ncx q[6], q[5];\nry(x79) q[7];\nrz(x80) q[7];\nry(x81) q[8];\nrz(x82) q[8];\ncx q[8], q[7];\nry(x83) q[9];\nrz(x84) q[9];\nry(x85) q[10];\nrz(x86) q[10];\ncx q[10], q[9];\nry(x87) q[0];\nrz(x88) q[0];\nry(x89) q[1];\nrz(x90) q[1];\nry(x91) q[2];\nrz(x92) q[2];\nry(x93) q[3];\nrz(x94) q[3];\nry(x95) q[4];\nrz(x96) q[4];\nry(x97) q[5];\nrz(x98) q[5];\nry(x99) q[6];\nrz(x100) q[6];\nry(x101) q[7];\nrz(x102) q[7];\nry(x103) q[8];\nrz(x104) q[8];\nry(x105) q[9];\nrz(x106) q[9];\nry(x107) q[10];\nrz(x108) q[10];\nry(x109) q[11];\nrz(x110) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x111) q[1];\nrz(x112) q[1];\nry(x113) q[2];\nrz(x114) q[2];\ncx q[2], q[1];\nry(x115) q[3];\nrz(x116) q[3];\nry(x117) q[4];\nrz(x118) q[4];\ncx q[4], q[3];\nry(x119) q[5];\nrz(x120) q[5];\nry(x121) q[6];\nrz(x122) q[6];\ncx q[6], q[5];\nry(x123) q[7];\nrz(x124) q[7];\nry(x125) q[8];\nrz(x126) q[8];\ncx q[8], q[7];\nry(x127) q[9];\nrz(x128) q[9];\nry(x129) q[10];\nrz(x130) q[10];\ncx q[10], q[9];\nry(x131) q[0];\nrz(x132) q[0];\nry(x85) q[1];\nrz(x133) q[1];\nry(x134) q[2];\nrz(x135) q[2];\nry(x136) q[3];\nrz(x137) q[3];\nry(x138) q[4];\nrz(x139) q[4];\nry(x140) q[5];\nrz(x141) q[5];\nry(x142) q[6];\nrz(x39) q[6];\nry(x143) q[7];\nrz(x144) q[7];\nry(x145) q[8];\nrz(x146) q[8];\nry(x147) q[9];\nrz(x148) q[9];\nry(x123) q[10];\nrz(x149) q[10];\nry(x150) q[11];\nrz(x151) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x152) q[1];\nrz(x153) q[1];\nry(x154) q[2];\nrz(x155) q[2];\ncx q[2], q[1];\nry(x156) q[3];\nrz(x157) q[3];\nry(x158) q[4];\nrz(x159) q[4];\ncx q[4], q[3];\nry(x160) q[5];\nrz(x161) q[5];\nry(x162) q[6];\nrz(x163) q[6];\ncx q[6], q[5];\nry(x164) q[7];\nrz(x165) q[7];\nry(x166) q[8];\nrz(x167) q[8];\ncx q[8], q[7];\nry(x168) q[9];\nrz(x169) q[9];\nry(x170) q[10];\nrz(x171) q[10];\ncx q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["294512af72c0fecd4cefe8fd6a356b5c","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 3}, {\"weight\": 17, \"source\": 0, \"target\": 5}, {\"weight\": 14, \"source\": 0, \"target\": 7}, {\"weight\": 3, \"source\": 1, \"target\": 4}, {\"weight\": 13, \"source\": 1, \"target\": 6}, {\"weight\": 10, \"source\": 2, \"target\": 5}, {\"weight\": 19, \"source\": 2, \"target\": 3}, {\"weight\": 16, \"source\": 2, \"target\": 7}]}","{\"states\": [110, 109], \"expectation_value\": -22.601315186733036, \"params\": [[-0.040600000000000004, -0.0064, 0.0148], [0.0748, 0.07880000000000001, 0.0719]], \"bitstrings\": [\"10010001\", \"10010010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.018306255857915715, 0.020559041402026947], \"optimization_time\": 13.491358757019043}","4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-59.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -53.5, \"smallest_bitstrings\": [\"10010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[2];\nrz(-0.3654) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(-0.3654) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(-0.3654) q[1];\ncx q[2], q[1];\ncx q[3], q[4];\nrz(-0.3654) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(-0.3654) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(-0.3654) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.3654) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.3654) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.3654) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.3654) q[7];\ncx q[6], q[7];\nrz(-0.406) q[0];\nrz(-0.9338) q[2];\nrz(-1.0556) q[1];\nrz(0.2436) q[3];\nrz(-0.1624) q[4];\nrz(-1.1368) q[5];\nrz(-0.7714) q[6];\nrz(-1.015) q[7];\nh q[0];\nrz(0.1496) q[0];\nh q[0];\nh q[1];\nrz(0.1496) q[1];\nh q[1];\nh q[2];\nrz(0.1496) q[2];\nh q[2];\nh q[3];\nrz(0.1496) q[3];\nh q[3];\nh q[4];\nrz(0.1496) q[4];\nh q[4];\nh q[5];\nrz(0.1496) q[5];\nh q[5];\nh q[6];\nrz(0.1496) q[6];\nh q[6];\nh q[7];\nrz(0.1496) q[7];\nh q[7];\ncx q[0], q[2];\nrz(-0.0576) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(-0.0576) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(-0.0576) q[1];\ncx q[2], q[1];\ncx q[3], q[4];\nrz(-0.0576) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(-0.0576) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(-0.0576) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.0576) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.0576) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.0576) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0576) q[7];\ncx q[6], q[7];\nrz(-0.064) q[0];\nrz(-0.1472) q[2];\nrz(-0.1664) q[1];\nrz(0.0384) q[3];\nrz(-0.0256) q[4];\nrz(-0.1792) q[5];\nrz(-0.1216) q[6];\nrz(-0.16) q[7];\nh q[0];\nrz(0.1576) q[0];\nh q[0];\nh q[1];\nrz(0.1576) q[1];\nh q[1];\nh q[2];\nrz(0.1576) q[2];\nh q[2];\nh q[3];\nrz(0.1576) q[3];\nh q[3];\nh q[4];\nrz(0.1576) q[4];\nh q[4];\nh q[5];\nrz(0.1576) q[5];\nh q[5];\nh q[6];\nrz(0.1576) q[6];\nh q[6];\nh q[7];\nrz(0.1576) q[7];\nh q[7];\ncx q[0], q[2];\nrz(0.1332) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(0.1332) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(0.1332) q[1];\ncx q[2], q[1];\ncx q[3], q[4];\nrz(0.1332) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(0.1332) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(0.1332) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.1332) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.1332) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.1332) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.1332) q[7];\ncx q[6], q[7];\nrz(0.148) q[0];\nrz(0.3404) q[2];\nrz(0.3848) q[1];\nrz(-0.0888) q[3];\nrz(0.0592) q[4];\nrz(0.4144) q[5];\nrz(0.2812) q[6];\nrz(0.37) q[7];\nh q[0];\nrz(0.1438) q[0];\nh q[0];\nh q[1];\nrz(0.1438) q[1];\nh q[1];\nh q[2];\nrz(0.1438) q[2];\nh q[2];\nh q[3];\nrz(0.1438) q[3];\nh q[3];\nh q[4];\nrz(0.1438) q[4];\nh q[4];\nh q[5];\nrz(0.1438) q[5];\nh q[5];\nh q[6];\nrz(0.1438) q[6];\nh q[6];\nh q[7];\nrz(0.1438) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[0];\nrz(x2) q[2];\nrz(x3) q[1];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x10) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x10) q[1];\ncx q[2], q[1];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x10) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x10) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[1];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x20) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x20) q[1];\ncx q[2], q[1];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x20) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x20) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x20) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\nrz(x21) q[0];\nrz(x22) q[2];\nrz(x23) q[1];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["98ff52dd3a46eb29e6baf499c47cc739","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [5, 9], \"expectation_value\": -2.411633546218451, \"params\": null, \"bitstrings\": [\"11010\", \"10110\"], \"total_optimization_steps\": 17, \"probabilities\": [0.06012617716668137, 0.7888212083319179], \"optimization_time\": 9.953481674194336}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2)",1,5,3,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"00111\", \"11010\", \"10110\", \"01011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\ncry(-1.0342) q[1], q[2];\ncry(-1.0342) q[4], q[0];\nry(0.7003) q[4];\nry(0.7003) q[1];\nry(-0.4549) q[2];\nry(-0.4549) q[0];\ncry(0.4578) q[4], q[1];\ncry(0.4515) q[1], q[4];\ncry(-0.3537) q[1], q[0];\ncry(-0.3472) q[4], q[2];\ncry(0.1049) q[0], q[1];\ncry(0.1015) q[2], q[4];\ncry(-0.099) q[0], q[4];\ncry(-0.0945) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[0];\\ncry(-0.3472) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[0];\\ncry(-0.3472) q[4], q[2];\\ncry(0.1049) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[0];\\ncry(-0.3472) q[4], q[2];\\ncry(0.1049) q[0], q[1];\\ncry(0.1015) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[0];\\ncry(-0.3472) q[4], q[2];\\ncry(0.1049) q[0], q[1];\\ncry(0.1015) q[2], q[4];\\ncry(-0.099) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[0];\\ncry(-0.3472) q[4], q[2];\\ncry(0.1049) q[0], q[1];\\ncry(0.1015) q[2], q[4];\\ncry(-0.099) q[0], q[4];\\ncry(-0.0945) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[0];\\ncry(-0.3472) q[4], q[2];\\ncry(0.1049) q[0], q[1];\\ncry(0.1015) q[2], q[4];\\ncry(-0.099) q[0], q[4];\\ncry(-0.0945) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[3];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[0];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[0];\\ncry(-0.3472) q[4], q[2];\\ncry(0.1049) q[0], q[1];\\ncry(0.1015) q[2], q[4];\\ncry(-0.099) q[0], q[4];\\ncry(-0.0945) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.507, 0.2506, 0.2506, 0.2461, 0.2457, 0.188, 0.1878, 0.1757, 0.188, 0.1592, 0.1561, 0.0224, 0.0217, 0.0217, 0.0207, 0.0043, 0.0026]}"]
["f69f02979a3dd856d2f0528e75cb43d5","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 17, \"source\": 0, \"target\": 3}, {\"weight\": 13, \"source\": 0, \"target\": 4}, {\"weight\": 11, \"source\": 1, \"target\": 5}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 15, \"source\": 2, \"target\": 7}, {\"weight\": 14, \"source\": 3, \"target\": 4}, {\"weight\": 5, \"source\": 4, \"target\": 5}, {\"weight\": 6, \"source\": 6, \"target\": 7}]}","{\"states\": [398, 236], \"expectation_value\": -8.221125762825704, \"params\": [[0.051300000000000005], [-0.067]], \"bitstrings\": [\"001110001\", \"100010011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004087685732190457, 0.004614999811634459], \"optimization_time\": 2.105720281600952}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 17.5 * Z(1) + 5.0 * Z(0) + 15.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 7.5 * Z(5) + 16.0 * Z(6) + 7.0 * Z(7) + -1.5 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-74.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -64.5, \"smallest_bitstrings\": [\"100010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.4617) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.4617) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.4617) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.4617) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.4617) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(0.4617) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.4617) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.4617) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.4617) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(0.4617) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.4617) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(0.4617) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(0.4617) q[8];\ncx q[5], q[8];\nrz(1.7955) q[1];\nrz(0.513) q[0];\nrz(1.5903) q[2];\nrz(0.5643) q[3];\nrz(0.8721) q[4];\nrz(0.7695) q[5];\nrz(1.6416) q[6];\nrz(0.7182) q[7];\nrz(-0.1539) q[8];\nh q[0];\nrz(-0.134) q[0];\nh q[0];\nh q[1];\nrz(-0.134) q[1];\nh q[1];\nh q[2];\nrz(-0.134) q[2];\nh q[2];\nh q[3];\nrz(-0.134) q[3];\nh q[3];\nh q[4];\nrz(-0.134) q[4];\nh q[4];\nh q[5];\nrz(-0.134) q[5];\nh q[5];\nh q[6];\nrz(-0.134) q[6];\nh q[6];\nh q[7];\nrz(-0.134) q[7];\nh q[7];\nh q[8];\nrz(-0.134) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["6600957329910727951","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[0, 1, 6, 7, 8], [0, 1, 2, 4, 5, 7], [0, 1, 3], [0, 8, 2, 4], [0, 1, 4, 5, 6], [0, 3, 5, 7], [8, 9, 6, 7], [8, 9, 3, 7]]}","{\"states\": [765, 749], \"expectation_value\": -1.3501139171255134, \"params\": [1.0995000000000001, -0.0171, 1.0891, 0.0016, 1.099, -0.0009000000000000001, 1.0919, 0.0006000000000000001, 1.1014000000000002, -0.021500000000000002, 1.0908, 0.0076, 1.0965, -0.0106, 1.0862, 0.0028, 1.1013, -0.023, 1.0985, 0.009300000000000001, 1.086, 0.1105, 0.8878, 0.0032, 1.0975000000000001, -0.0201, 1.0988, 0.0049, 1.089, -0.023700000000000002, 0.9586, 0.0004, 1.0984, -0.027600000000000003, 1.0945, 0.005200000000000001, 1.099, -0.0229, 1.0928, 0.001, 0.1645, 0.9015000000000001, 0.1439, 0.1422, 0.1364, -0.14020000000000002, 0.1598, 0.4374, 1.0382, 0.1656], \"bitstrings\": [\"0100000010\", \"0100010010\"], \"total_optimization_steps\": 110, \"probabilities\": [0.15287592926832944, 0.2105297327745516], \"optimization_time\": 21.98762798309326}","0.3 * (Z(0) @ Z(1)) + 0.1 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.08333333333333334 * (Z(7) @ Z(1)) + 0.16666666666666669 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(6)) + 0.05 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(6)) + 0.21666666666666667 * (Z(8) @ Z(7)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.16666666666666669 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(6)) + 0.03333333333333333 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.11666666666666667 * (Z(4) @ Z(2)) + 0.08333333333333334 * (Z(5) @ Z(1)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(6)) + 0.11666666666666667 * (Z(5) @ Z(7)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333334 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(9) @ Z(6)) + 0.16666666666666666 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.4500000000000002 * Z(1) + 0.7000000000000002 * Z(0) + 0.3250000000000001 * Z(6) + 0.5583333333333333 * Z(7) + 0.4750000000000001 * Z(8) + 0.20833333333333331 * Z(2) + 0.30833333333333335 * Z(4) + 0.30833333333333335 * Z(5) + 0.41666666666666674 * Z(3) + 0.24999999999999994 * Z(9)",6,10,1,"{\"smallest_eigenvalues\": [-1.9333333333333333], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.9000000000000004, \"smallest_bitstrings\": [\"0100010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(1.0995) q[0];\nrz(-0.0171) q[0];\nrx(1.099) q[1];\nrz(-0.0009) q[1];\nrx(1.1014) q[2];\nrz(-0.0215) q[2];\nrx(1.0965) q[3];\nrz(-0.0106) q[3];\nrx(1.1013) q[4];\nrz(-0.023) q[4];\nrx(1.086) q[5];\nrz(0.1105) q[5];\nrx(1.0975) q[6];\nrz(-0.0201) q[6];\nrx(1.089) q[7];\nrz(-0.0237) q[7];\nrx(1.0984) q[8];\nrz(-0.0276) q[8];\nrx(1.099) q[9];\nrz(-0.0229) q[9];\ncrx(1.0382) q[9], q[8];\ncrx(0.4374) q[9], q[7];\ncrx(0.1598) q[9], q[6];\ncrx(-0.1402) q[9], q[5];\ncrx(0.1364) q[9], q[4];\ncrx(0.1422) q[9], q[3];\ncrx(0.1439) q[9], q[2];\ncrx(0.9015) q[9], q[1];\ncrx(0.1645) q[9], q[0];\ncrx(0.1656) q[8], q[9];\ncrx(0.4374) q[8], q[7];\ncrx(0.1598) q[8], q[6];\ncrx(-0.1402) q[8], q[5];\ncrx(0.1364) q[8], q[4];\ncrx(0.1422) q[8], q[3];\ncrx(0.1439) q[8], q[2];\ncrx(0.9015) q[8], q[1];\ncrx(0.1645) q[8], q[0];\ncrx(0.1656) q[7], q[9];\ncrx(1.0382) q[7], q[8];\ncrx(0.1598) q[7], q[6];\ncrx(-0.1402) q[7], q[5];\ncrx(0.1364) q[7], q[4];\ncrx(0.1422) q[7], q[3];\ncrx(0.1439) q[7], q[2];\ncrx(0.9015) q[7], q[1];\ncrx(0.1645) q[7], q[0];\ncrx(0.1656) q[6], q[9];\ncrx(1.0382) q[6], q[8];\ncrx(0.4374) q[6], q[7];\ncrx(-0.1402) q[6], q[5];\ncrx(0.1364) q[6], q[4];\ncrx(0.1422) q[6], q[3];\ncrx(0.1439) q[6], q[2];\ncrx(0.9015) q[6], q[1];\ncrx(0.1645) q[6], q[0];\ncrx(0.1656) q[5], q[9];\ncrx(1.0382) q[5], q[8];\ncrx(0.4374) q[5], q[7];\ncrx(0.1598) q[5], q[6];\ncrx(0.1364) q[5], q[4];\ncrx(0.1422) q[5], q[3];\ncrx(0.1439) q[5], q[2];\ncrx(0.9015) q[5], q[1];\ncrx(0.1645) q[5], q[0];\ncrx(0.1656) q[4], q[9];\ncrx(1.0382) q[4], q[8];\ncrx(0.4374) q[4], q[7];\ncrx(0.1598) q[4], q[6];\ncrx(-0.1402) q[4], q[5];\ncrx(0.1422) q[4], q[3];\ncrx(0.1439) q[4], q[2];\ncrx(0.9015) q[4], q[1];\ncrx(0.1645) q[4], q[0];\ncrx(0.1656) q[3], q[9];\ncrx(1.0382) q[3], q[8];\ncrx(0.4374) q[3], q[7];\ncrx(0.1598) q[3], q[6];\ncrx(-0.1402) q[3], q[5];\ncrx(0.1364) q[3], q[4];\ncrx(0.1439) q[3], q[2];\ncrx(0.9015) q[3], q[1];\ncrx(0.1645) q[3], q[0];\ncrx(0.1656) q[2], q[9];\ncrx(1.0382) q[2], q[8];\ncrx(0.4374) q[2], q[7];\ncrx(0.1598) q[2], q[6];\ncrx(-0.1402) q[2], q[5];\ncrx(0.1364) q[2], q[4];\ncrx(0.1422) q[2], q[3];\ncrx(0.9015) q[2], q[1];\ncrx(0.1645) q[2], q[0];\ncrx(0.1656) q[1], q[9];\ncrx(1.0382) q[1], q[8];\ncrx(0.4374) q[1], q[7];\ncrx(0.1598) q[1], q[6];\ncrx(-0.1402) q[1], q[5];\ncrx(0.1364) q[1], q[4];\ncrx(0.1422) q[1], q[3];\ncrx(0.1439) q[1], q[2];\ncrx(0.1645) q[1], q[0];\ncrx(0.1656) q[0], q[9];\ncrx(1.0382) q[0], q[8];\ncrx(0.4374) q[0], q[7];\ncrx(0.1598) q[0], q[6];\ncrx(-0.1402) q[0], q[5];\ncrx(0.1364) q[0], q[4];\ncrx(0.1422) q[0], q[3];\ncrx(0.1439) q[0], q[2];\ncrx(0.9015) q[0], q[1];\nrx(1.0891) q[0];\nrz(0.0016) q[0];\nrx(1.0919) q[1];\nrz(0.0006) q[1];\nrx(1.0908) q[2];\nrz(0.0076) q[2];\nrx(1.0862) q[3];\nrz(0.0028) q[3];\nrx(1.0985) q[4];\nrz(0.0093) q[4];\nrx(0.8878) q[5];\nrz(0.0032) q[5];\nrx(1.0988) q[6];\nrz(0.0049) q[6];\nrx(0.9586) q[7];\nrz(0.0004) q[7];\nrx(1.0945) q[8];\nrz(0.0052) q[8];\nrx(1.0928) q[9];\nrz(0.001) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x2) q[9];\nrz(x18) q[9];\ncrx(x19) q[9], q[8];\ncrx(x20) q[9], q[7];\ncrx(x21) q[9], q[6];\ncrx(x22) q[9], q[5];\ncrx(x23) q[9], q[4];\ncrx(x24) q[9], q[3];\ncrx(x25) q[9], q[2];\ncrx(x26) q[9], q[1];\ncrx(x27) q[9], q[0];\ncrx(x28) q[8], q[9];\ncrx(x20) q[8], q[7];\ncrx(x21) q[8], q[6];\ncrx(x22) q[8], q[5];\ncrx(x23) q[8], q[4];\ncrx(x24) q[8], q[3];\ncrx(x25) q[8], q[2];\ncrx(x26) q[8], q[1];\ncrx(x27) q[8], q[0];\ncrx(x28) q[7], q[9];\ncrx(x19) q[7], q[8];\ncrx(x21) q[7], q[6];\ncrx(x22) q[7], q[5];\ncrx(x23) q[7], q[4];\ncrx(x24) q[7], q[3];\ncrx(x25) q[7], q[2];\ncrx(x26) q[7], q[1];\ncrx(x27) q[7], q[0];\ncrx(x28) q[6], q[9];\ncrx(x19) q[6], q[8];\ncrx(x20) q[6], q[7];\ncrx(x22) q[6], q[5];\ncrx(x23) q[6], q[4];\ncrx(x24) q[6], q[3];\ncrx(x25) q[6], q[2];\ncrx(x26) q[6], q[1];\ncrx(x27) q[6], q[0];\ncrx(x28) q[5], q[9];\ncrx(x19) q[5], q[8];\ncrx(x20) q[5], q[7];\ncrx(x21) q[5], q[6];\ncrx(x23) q[5], q[4];\ncrx(x24) q[5], q[3];\ncrx(x25) q[5], q[2];\ncrx(x26) q[5], q[1];\ncrx(x27) q[5], q[0];\ncrx(x28) q[4], q[9];\ncrx(x19) q[4], q[8];\ncrx(x20) q[4], q[7];\ncrx(x21) q[4], q[6];\ncrx(x22) q[4], q[5];\ncrx(x24) q[4], q[3];\ncrx(x25) q[4], q[2];\ncrx(x26) q[4], q[1];\ncrx(x27) q[4], q[0];\ncrx(x28) q[3], q[9];\ncrx(x19) q[3], q[8];\ncrx(x20) q[3], q[7];\ncrx(x21) q[3], q[6];\ncrx(x22) q[3], q[5];\ncrx(x23) q[3], q[4];\ncrx(x25) q[3], q[2];\ncrx(x26) q[3], q[1];\ncrx(x27) q[3], q[0];\ncrx(x28) q[2], q[9];\ncrx(x19) q[2], q[8];\ncrx(x20) q[2], q[7];\ncrx(x21) q[2], q[6];\ncrx(x22) q[2], q[5];\ncrx(x23) q[2], q[4];\ncrx(x24) q[2], q[3];\ncrx(x26) q[2], q[1];\ncrx(x27) q[2], q[0];\ncrx(x28) q[1], q[9];\ncrx(x19) q[1], q[8];\ncrx(x20) q[1], q[7];\ncrx(x21) q[1], q[6];\ncrx(x22) q[1], q[5];\ncrx(x23) q[1], q[4];\ncrx(x24) q[1], q[3];\ncrx(x25) q[1], q[2];\ncrx(x27) q[1], q[0];\ncrx(x28) q[0], q[9];\ncrx(x19) q[0], q[8];\ncrx(x20) q[0], q[7];\ncrx(x21) q[0], q[6];\ncrx(x22) q[0], q[5];\ncrx(x23) q[0], q[4];\ncrx(x24) q[0], q[3];\ncrx(x25) q[0], q[2];\ncrx(x26) q[0], q[1];\nrx(x29) q[0];\nrz(x30) q[0];\nrx(x31) q[1];\nrz(x32) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["-448950129871842392","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[8, 2, 5], [2, 7], [0, 4, 6], [4, 5, 6], [0, 2, 4, 5], [0, 3, 4, 5, 7], [1, 4, 6, 7], [1, 2, 4, 6], [8, 1, 2], [8, 0, 4, 5], [8, 4, 7], [3, 5, 6, 7], [0, 5, 6, 7], [0, 1, 3, 6], [1, 3, 5]]}","{\"states\": [410, 399], \"expectation_value\": -0.00044221906363052163, \"params\": [[-0.0079], [0.0014]], \"bitstrings\": [\"001100101\", \"001110000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.001953589037956148, 0.0019535918952447136], \"optimization_time\": 3.5292587280273438}","0.3333333333333333 * (Z(8) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.3 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(8)) + 0.3833333333333333 * (Z(4) @ Z(5)) + 0.3 * (Z(4) @ Z(7)) + 0.3833333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(7)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.49999999999999994 * (Z(6) @ Z(4)) + 0.3 * (Z(3) @ Z(5)) + 0.13333333333333333 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.25 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(1) @ Z(3)) + 0.5833333333333333 * Z(2) + 0.625 * Z(8) + 1.0999999999999996 * Z(5) + 0.6416666666666666 * Z(7) + 0.7666666666666666 * Z(0) + 1.0999999999999996 * Z(4) + 0.9583333333333335 * Z(6) + 0.5166666666666666 * Z(3) + 0.7083333333333333 * Z(1)",1,9,1,"{\"smallest_eigenvalues\": [-4.033333333333333], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.6166666666666663, \"smallest_bitstrings\": [\"001110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[8];\nrz(-0.0053) q[8];\ncx q[2], q[8];\ncx q[2], q[5];\nrz(-0.004) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(-0.004) q[5];\ncx q[8], q[5];\ncx q[2], q[7];\nrz(-0.0079) q[7];\ncx q[2], q[7];\ncx q[8], q[7];\nrz(-0.0026) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(-0.0034) q[7];\ncx q[5], q[7];\ncx q[2], q[0];\nrz(-0.0013) q[0];\ncx q[2], q[0];\ncx q[8], q[0];\nrz(-0.0013) q[0];\ncx q[8], q[0];\ncx q[5], q[0];\nrz(-0.0047) q[0];\ncx q[5], q[0];\ncx q[7], q[0];\nrz(-0.0021) q[0];\ncx q[7], q[0];\ncx q[2], q[4];\nrz(-0.0026) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(-0.004) q[4];\ncx q[8], q[4];\ncx q[5], q[4];\nrz(-0.0061) q[4];\ncx q[5], q[4];\ncx q[7], q[4];\nrz(-0.0047) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(-0.0061) q[4];\ncx q[0], q[4];\ncx q[2], q[6];\nrz(-0.0013) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0053) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(-0.004) q[6];\ncx q[7], q[6];\ncx q[0], q[6];\nrz(-0.0053) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(-0.0079) q[6];\ncx q[4], q[6];\ncx q[5], q[3];\nrz(-0.0047) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(-0.0021) q[3];\ncx q[7], q[3];\ncx q[0], q[3];\nrz(-0.0021) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(-0.0008) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(-0.0026) q[3];\ncx q[6], q[3];\ncx q[2], q[1];\nrz(-0.004) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(-0.0026) q[1];\ncx q[8], q[1];\ncx q[5], q[1];\nrz(-0.0026) q[1];\ncx q[5], q[1];\ncx q[7], q[1];\nrz(-0.0013) q[1];\ncx q[7], q[1];\ncx q[0], q[1];\nrz(-0.0013) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(-0.0026) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(-0.004) q[1];\ncx q[6], q[1];\ncx q[3], q[1];\nrz(-0.004) q[1];\ncx q[3], q[1];\nrz(-0.0092) q[2];\nrz(-0.0099) q[8];\nrz(-0.0174) q[5];\nrz(-0.0101) q[7];\nrz(-0.0121) q[0];\nrz(-0.0174) q[4];\nrz(-0.0151) q[6];\nrz(-0.0082) q[3];\nrz(-0.0112) q[1];\nh q[0];\nrz(0.0028) q[0];\nh q[0];\nh q[1];\nrz(0.0028) q[1];\nh q[1];\nh q[2];\nrz(0.0028) q[2];\nh q[2];\nh q[3];\nrz(0.0028) q[3];\nh q[3];\nh q[4];\nrz(0.0028) q[4];\nh q[4];\nh q[5];\nrz(0.0028) q[5];\nh q[5];\nh q[6];\nrz(0.0028) q[6];\nh q[6];\nh q[7];\nrz(0.0028) q[7];\nh q[7];\nh q[8];\nrz(0.0028) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(x1) q[5];\ncx q[8], q[5];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[8], q[7];\nrz(x3) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(x4) q[7];\ncx q[5], q[7];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[8], q[0];\nrz(x5) q[0];\ncx q[8], q[0];\ncx q[5], q[0];\nrz(x6) q[0];\ncx q[5], q[0];\ncx q[7], q[0];\nrz(x7) q[0];\ncx q[7], q[0];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[8], q[4];\nrz(x1) q[4];\ncx q[8], q[4];\ncx q[5], q[4];\nrz(x8) q[4];\ncx q[5], q[4];\ncx q[7], q[4];\nrz(x6) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(x8) q[4];\ncx q[0], q[4];\ncx q[2], q[6];\nrz(x5) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[5], q[3];\nrz(x6) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(x7) q[3];\ncx q[7], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(x9) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(x3) q[3];\ncx q[6], q[3];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(x3) q[1];\ncx q[8], q[1];\ncx q[5], q[1];\nrz(x3) q[1];\ncx q[5], q[1];\ncx q[7], q[1];\nrz(x5) q[1];\ncx q[7], q[1];\ncx q[0], q[1];\nrz(x5) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(x3) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(x1) q[1];\ncx q[6], q[1];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\nrz(x10) q[2];\nrz(x11) q[8];\nrz(x12) q[5];\nrz(x13) q[7];\nrz(x14) q[0];\nrz(x12) q[4];\nrz(x15) q[6];\nrz(x16) q[3];\nrz(x17) q[1];\nh q[0];\nrz(x18) q[0];\nh q[0];\nh q[1];\nrz(x18) q[1];\nh q[1];\nh q[2];\nrz(x18) q[2];\nh q[2];\nh q[3];\nrz(x18) q[3];\nh q[3];\nh q[4];\nrz(x18) q[4];\nh q[4];\nh q[5];\nrz(x18) q[5];\nh q[5];\nh q[6];\nrz(x18) q[6];\nh q[6];\nh q[7];\nrz(x18) q[7];\nh q[7];\nh q[8];\nrz(x18) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["-6190757622442722320","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[9, 3], [8, 1], [0, 7], [0, 8], [2, 5], [9, 4], [4, 5], [9, 6], [1, 2], [2, 7], [0, 9], [2, 3], [5, 7], [0, 4], [5, 6], [1, 7], [3, 5], [4, 6], [8, 4], [4, 7], [2, 4], [1, 6], [8, 7], [0, 3], [6, 7], [8, 9]]}","{\"states\": [359, 357], \"expectation_value\": -0.13201188322485238, \"params\": [0.6976, 0.0031000000000000003, 0.6973, 0.0071, 0.7031000000000001, 0.0035, 0.7030000000000001, 0.0049, 0.6996, 0.0026000000000000003, 0.6893, 0.008, 0.7081000000000001, 0.0013000000000000002, 0.7061000000000001, 0.0098, 0.7068, -0.0018000000000000002, 0.7049000000000001, 0.0029000000000000002, 0.7028, 0.0054, 0.7005, 0.0041, 0.6948000000000001, 0.0048000000000000004, 0.6953, 0.0068000000000000005, 0.6987, 0.0023, 0.6975, 0.0076, 0.7030000000000001, 0.005200000000000001, 0.6981, 0.0009000000000000001, 0.7075, -0.0009000000000000001, 0.6965, 0.005, -0.2252, 0.2082, -0.19310000000000002, 0.42110000000000003, 0.1008, -0.2026, -0.21610000000000001, 0.6144000000000001, -0.19410000000000002, 0.1462], \"bitstrings\": [\"1010011000\", \"1010011010\"], \"total_optimization_steps\": 70, \"probabilities\": [0.017197046394658185, 0.0322154706073085], \"optimization_time\": 18.688425302505493}","0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(9) + 0.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6)",6,10,1,"{\"smallest_eigenvalues\": [-6.0, -6.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"1010011010\", \"0101100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.6976) q[0];\nrz(0.0031) q[0];\nrx(0.7031) q[1];\nrz(0.0035) q[1];\nrx(0.6996) q[2];\nrz(0.0026) q[2];\nrx(0.7081) q[3];\nrz(0.0013) q[3];\nrx(0.7068) q[4];\nrz(-0.0018) q[4];\nrx(0.7028) q[5];\nrz(0.0054) q[5];\nrx(0.6948) q[6];\nrz(0.0048) q[6];\nrx(0.6987) q[7];\nrz(0.0023) q[7];\nrx(0.703) q[8];\nrz(0.0052) q[8];\nrx(0.7075) q[9];\nrz(-0.0009) q[9];\ncrx(-0.1941) q[9], q[8];\ncrx(0.6144) q[9], q[7];\ncrx(-0.2161) q[9], q[6];\ncrx(-0.2026) q[9], q[5];\ncrx(0.1008) q[9], q[4];\ncrx(0.4211) q[9], q[3];\ncrx(-0.1931) q[9], q[2];\ncrx(0.2082) q[9], q[1];\ncrx(-0.2252) q[9], q[0];\ncrx(0.1462) q[8], q[9];\ncrx(0.6144) q[8], q[7];\ncrx(-0.2161) q[8], q[6];\ncrx(-0.2026) q[8], q[5];\ncrx(0.1008) q[8], q[4];\ncrx(0.4211) q[8], q[3];\ncrx(-0.1931) q[8], q[2];\ncrx(0.2082) q[8], q[1];\ncrx(-0.2252) q[8], q[0];\ncrx(0.1462) q[7], q[9];\ncrx(-0.1941) q[7], q[8];\ncrx(-0.2161) q[7], q[6];\ncrx(-0.2026) q[7], q[5];\ncrx(0.1008) q[7], q[4];\ncrx(0.4211) q[7], q[3];\ncrx(-0.1931) q[7], q[2];\ncrx(0.2082) q[7], q[1];\ncrx(-0.2252) q[7], q[0];\ncrx(0.1462) q[6], q[9];\ncrx(-0.1941) q[6], q[8];\ncrx(0.6144) q[6], q[7];\ncrx(-0.2026) q[6], q[5];\ncrx(0.1008) q[6], q[4];\ncrx(0.4211) q[6], q[3];\ncrx(-0.1931) q[6], q[2];\ncrx(0.2082) q[6], q[1];\ncrx(-0.2252) q[6], q[0];\ncrx(0.1462) q[5], q[9];\ncrx(-0.1941) q[5], q[8];\ncrx(0.6144) q[5], q[7];\ncrx(-0.2161) q[5], q[6];\ncrx(0.1008) q[5], q[4];\ncrx(0.4211) q[5], q[3];\ncrx(-0.1931) q[5], q[2];\ncrx(0.2082) q[5], q[1];\ncrx(-0.2252) q[5], q[0];\ncrx(0.1462) q[4], q[9];\ncrx(-0.1941) q[4], q[8];\ncrx(0.6144) q[4], q[7];\ncrx(-0.2161) q[4], q[6];\ncrx(-0.2026) q[4], q[5];\ncrx(0.4211) q[4], q[3];\ncrx(-0.1931) q[4], q[2];\ncrx(0.2082) q[4], q[1];\ncrx(-0.2252) q[4], q[0];\ncrx(0.1462) q[3], q[9];\ncrx(-0.1941) q[3], q[8];\ncrx(0.6144) q[3], q[7];\ncrx(-0.2161) q[3], q[6];\ncrx(-0.2026) q[3], q[5];\ncrx(0.1008) q[3], q[4];\ncrx(-0.1931) q[3], q[2];\ncrx(0.2082) q[3], q[1];\ncrx(-0.2252) q[3], q[0];\ncrx(0.1462) q[2], q[9];\ncrx(-0.1941) q[2], q[8];\ncrx(0.6144) q[2], q[7];\ncrx(-0.2161) q[2], q[6];\ncrx(-0.2026) q[2], q[5];\ncrx(0.1008) q[2], q[4];\ncrx(0.4211) q[2], q[3];\ncrx(0.2082) q[2], q[1];\ncrx(-0.2252) q[2], q[0];\ncrx(0.1462) q[1], q[9];\ncrx(-0.1941) q[1], q[8];\ncrx(0.6144) q[1], q[7];\ncrx(-0.2161) q[1], q[6];\ncrx(-0.2026) q[1], q[5];\ncrx(0.1008) q[1], q[4];\ncrx(0.4211) q[1], q[3];\ncrx(-0.1931) q[1], q[2];\ncrx(-0.2252) q[1], q[0];\ncrx(0.1462) q[0], q[9];\ncrx(-0.1941) q[0], q[8];\ncrx(0.6144) q[0], q[7];\ncrx(-0.2161) q[0], q[6];\ncrx(-0.2026) q[0], q[5];\ncrx(0.1008) q[0], q[4];\ncrx(0.4211) q[0], q[3];\ncrx(-0.1931) q[0], q[2];\ncrx(0.2082) q[0], q[1];\nrx(0.6973) q[0];\nrz(0.0071) q[0];\nrx(0.703) q[1];\nrz(0.0049) q[1];\nrx(0.6893) q[2];\nrz(0.008) q[2];\nrx(0.7061) q[3];\nrz(0.0098) q[3];\nrx(0.7049) q[4];\nrz(0.0029) q[4];\nrx(0.7005) q[5];\nrz(0.0041) q[5];\nrx(0.6953) q[6];\nrz(0.0068) q[6];\nrx(0.6975) q[7];\nrz(0.0076) q[7];\nrx(0.6981) q[8];\nrz(0.0009) q[8];\nrx(0.6965) q[9];\nrz(0.005) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x16) q[1];\nrz(x32) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["2658bf5f7163af35b242065cf609fa3e","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 7, \"target\": 8}, {\"source\": 9, \"target\": 12}, {\"source\": 10, \"target\": 12}, {\"source\": 11, \"target\": 12}]}","{\"states\": [255, 4095], \"expectation_value\": -0.6940586037353598, \"params\": [[-0.040400000000000005], [0.0506]], \"bitstrings\": [\"111100000000\", \"000000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0003192157974764112, 0.0003236721001378136], \"optimization_time\": 0.9591350555419922}","-2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(11)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(11) + 0.5 * Z(8) + 0.5 * Z(9) + 0.5 * Z(10)",1,12,1,"{\"smallest_eigenvalues\": [-21.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.0, \"smallest_bitstrings\": [\"000000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[1], q[0];\nrz(0.1616) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.202) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.1616) q[3];\ncx q[0], q[3];\ncx q[1], q[2];\nrz(-0.0404) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0404) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.1616) q[2];\ncx q[3], q[2];\ncx q[6], q[4];\nrz(0.1212) q[4];\ncx q[6], q[4];\ncx q[6], q[5];\nrz(-0.0404) q[5];\ncx q[6], q[5];\ncx q[6], q[7];\nrz(0.1616) q[7];\ncx q[6], q[7];\ncx q[4], q[7];\nrz(-0.0404) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.1212) q[7];\ncx q[5], q[7];\ncx q[11], q[8];\nrz(0.1616) q[8];\ncx q[11], q[8];\ncx q[11], q[9];\nrz(0.1616) q[9];\ncx q[11], q[9];\ncx q[8], q[9];\nrz(-0.0404) q[9];\ncx q[8], q[9];\ncx q[11], q[10];\nrz(0.1616) q[10];\ncx q[11], q[10];\ncx q[8], q[10];\nrz(-0.0404) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(-0.0404) q[10];\ncx q[9], q[10];\nrz(0.1212) q[1];\nrz(-0.0808) q[0];\nrz(-0.0808) q[3];\nrz(-0.0404) q[2];\nrz(-0.0404) q[6];\nrz(-0.0404) q[4];\nrz(-0.0404) q[5];\nrz(-0.0404) q[7];\nrz(-0.0404) q[11];\nrz(-0.0404) q[8];\nrz(-0.0404) q[9];\nrz(-0.0404) q[10];\nh q[0];\nrz(0.1012) q[0];\nh q[0];\nh q[1];\nrz(0.1012) q[1];\nh q[1];\nh q[2];\nrz(0.1012) q[2];\nh q[2];\nh q[3];\nrz(0.1012) q[3];\nh q[3];\nh q[4];\nrz(0.1012) q[4];\nh q[4];\nh q[5];\nrz(0.1012) q[5];\nh q[5];\nh q[6];\nrz(0.1012) q[6];\nh q[6];\nh q[7];\nrz(0.1012) q[7];\nh q[7];\nh q[8];\nrz(0.1012) q[8];\nh q[8];\nh q[9];\nrz(0.1012) q[9];\nh q[9];\nh q[10];\nrz(0.1012) q[10];\nh q[10];\nh q[11];\nrz(0.1012) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[2];\nrz(x2) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[6], q[4];\nrz(x3) q[4];\ncx q[6], q[4];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[4], q[7];\nrz(x2) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x3) q[7];\ncx q[5], q[7];\ncx q[11], q[8];\nrz(x0) q[8];\ncx q[11], q[8];\ncx q[11], q[9];\nrz(x0) q[9];\ncx q[11], q[9];\ncx q[8], q[9];\nrz(x2) q[9];\ncx q[8], q[9];\ncx q[11], q[10];\nrz(x0) q[10];\ncx q[11], q[10];\ncx q[8], q[10];\nrz(x2) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x2) q[10];\ncx q[9], q[10];\nrz(x3) q[1];\nrz(x4) q[0];\nrz(x4) q[3];\nrz(x2) q[2];\nrz(x2) q[6];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x2) q[7];\nrz(x2) q[11];\nrz(x2) q[8];\nrz(x2) q[9];\nrz(x2) q[10];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nh q[11];\nrz(x5) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["167693696805018478","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 1, 5], [1, 2, 3, 4, 6, 7], [0, 2, 4, 5], [0, 2, 7], [1, 5, 6], [0, 3, 4, 5, 6, 7], [1, 2, 5]]}","{\"states\": [234, 250], \"expectation_value\": -0.8972150653374473, \"params\": [[0.3272], [-0.33280000000000004]], \"bitstrings\": [\"00010101\", \"00000101\"], \"total_optimization_steps\": 40, \"probabilities\": [0.009312738004575334, 0.009350293771855844], \"optimization_time\": 3.754831075668335}","0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.2833333333333333 * (Z(5) @ Z(0)) + 0.19999999999999998 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(5)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(5)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(5)) + 0.11666666666666667 * (Z(4) @ Z(2)) + 0.06666666666666667 * (Z(4) @ Z(3)) + 0.19999999999999998 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.19999999999999998 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.06666666666666667 * (Z(6) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(7) @ Z(1)) + 0.19999999999999998 * (Z(7) @ Z(0)) + 0.03333333333333333 * (Z(7) @ Z(5)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.06666666666666667 * (Z(7) @ Z(3)) + 0.06666666666666667 * (Z(7) @ Z(4)) + 0.06666666666666667 * (Z(7) @ Z(6)) + 0.5833333333333335 * Z(1) + 0.5416666666666666 * Z(0) + 0.7083333333333335 * Z(5) + 0.5416666666666666 * Z(2) + 0.16666666666666666 * Z(3) + 0.29166666666666663 * Z(4) + 0.3333333333333333 * Z(6) + 0.3333333333333333 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-1.95], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.883333333333333, \"smallest_bitstrings\": [\"00000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.1091) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(0.3272) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.1854) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(0.1309) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1636) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(0.1636) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(0.0218) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0218) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(0.0218) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(0.0218) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.0218) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0763) q[4];\ncx q[0], q[4];\ncx q[5], q[4];\nrz(0.0763) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(0.0763) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0436) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(0.1309) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0218) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(0.1309) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(0.0218) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0436) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0436) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(0.0218) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.1309) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(0.0218) q[7];\ncx q[5], q[7];\ncx q[2], q[7];\nrz(0.1309) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.0436) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.0436) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0436) q[7];\ncx q[6], q[7];\nrz(0.3817) q[1];\nrz(0.3545) q[0];\nrz(0.4635) q[5];\nrz(0.3545) q[2];\nrz(0.1091) q[3];\nrz(0.1909) q[4];\nrz(0.2181) q[6];\nrz(0.2181) q[7];\nh q[0];\nrz(-0.6656) q[0];\nh q[0];\nh q[1];\nrz(-0.6656) q[1];\nh q[1];\nh q[2];\nrz(-0.6656) q[2];\nh q[2];\nh q[3];\nrz(-0.6656) q[3];\nh q[3];\nh q[4];\nrz(-0.6656) q[4];\nh q[4];\nh q[5];\nrz(-0.6656) q[5];\nh q[5];\nh q[6];\nrz(-0.6656) q[6];\nh q[6];\nh q[7];\nrz(-0.6656) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(x4) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(x5) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(x5) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x5) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(x6) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x3) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x5) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x5) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x7) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x7) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x5) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x3) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x5) q[7];\ncx q[5], q[7];\ncx q[2], q[7];\nrz(x3) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x7) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x7) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x7) q[7];\ncx q[6], q[7];\nrz(x8) q[1];\nrz(x9) q[0];\nrz(x10) q[5];\nrz(x9) q[2];\nrz(x0) q[3];\nrz(x11) q[4];\nrz(x12) q[6];\nrz(x12) q[7];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\nh q[7];\nrz(x13) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["b5e203e63ec3496219a24352650f6c69","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 5}, {\"weight\": 15, \"source\": 1, \"target\": 5}, {\"weight\": 16, \"source\": 1, \"target\": 3}, {\"weight\": 20, \"source\": 1, \"target\": 4}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 14, \"source\": 3, \"target\": 4}, {\"weight\": 7, \"source\": 4, \"target\": 5}]}","{\"states\": [171, 122], \"expectation_value\": -19.821236033064885, \"params\": [[0.031900000000000005, 0.0164, -0.01], [-0.054900000000000004, -0.0468, -0.023100000000000002]], \"bitstrings\": [\"01010100\", \"10000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009982827951384107, 0.012694060327834766], \"optimization_time\": 8.0966477394104}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 10.5 * Z(0) + 20.0 * Z(2) + 22.0 * Z(3) + 19.5 * Z(4) + 2.0 * Z(5) + 15.0 * Z(6) + 11.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-80.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -71.0, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.2552) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.2552) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.2552) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2552) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.2552) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.2552) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.2552) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.2552) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.2552) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(0.2552) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.2552) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.2552) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.2552) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.2552) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.2552) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.2552) q[7];\ncx q[6], q[7];\nrz(0.7337) q[1];\nrz(0.6699) q[0];\nrz(1.276) q[2];\nrz(1.4036) q[3];\nrz(1.2441) q[4];\nrz(0.1276) q[5];\nrz(0.957) q[6];\nrz(0.7337) q[7];\nh q[0];\nrz(-0.1098) q[0];\nh q[0];\nh q[1];\nrz(-0.1098) q[1];\nh q[1];\nh q[2];\nrz(-0.1098) q[2];\nh q[2];\nh q[3];\nrz(-0.1098) q[3];\nh q[3];\nh q[4];\nrz(-0.1098) q[4];\nh q[4];\nh q[5];\nrz(-0.1098) q[5];\nh q[5];\nh q[6];\nrz(-0.1098) q[6];\nh q[6];\nh q[7];\nrz(-0.1098) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1312) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.1312) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.1312) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.1312) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.1312) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.1312) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.1312) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.1312) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.1312) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(0.1312) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.1312) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.1312) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.1312) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.1312) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.1312) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.1312) q[7];\ncx q[6], q[7];\nrz(0.3772) q[1];\nrz(0.3444) q[0];\nrz(0.656) q[2];\nrz(0.7216) q[3];\nrz(0.6396) q[4];\nrz(0.0656) q[5];\nrz(0.492) q[6];\nrz(0.3772) q[7];\nh q[0];\nrz(-0.0936) q[0];\nh q[0];\nh q[1];\nrz(-0.0936) q[1];\nh q[1];\nh q[2];\nrz(-0.0936) q[2];\nh q[2];\nh q[3];\nrz(-0.0936) q[3];\nh q[3];\nh q[4];\nrz(-0.0936) q[4];\nh q[4];\nh q[5];\nrz(-0.0936) q[5];\nh q[5];\nh q[6];\nrz(-0.0936) q[6];\nh q[6];\nh q[7];\nrz(-0.0936) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.08) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.08) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.08) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.08) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.08) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.08) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.08) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.08) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.08) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(-0.08) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.08) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.08) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.08) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(-0.08) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.08) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.08) q[7];\ncx q[6], q[7];\nrz(-0.23) q[1];\nrz(-0.21) q[0];\nrz(-0.4) q[2];\nrz(-0.44) q[3];\nrz(-0.39) q[4];\nrz(-0.04) q[5];\nrz(-0.3) q[6];\nrz(-0.23) q[7];\nh q[0];\nrz(-0.0462) q[0];\nh q[0];\nh q[1];\nrz(-0.0462) q[1];\nh q[1];\nh q[2];\nrz(-0.0462) q[2];\nh q[2];\nh q[3];\nrz(-0.0462) q[3];\nh q[3];\nh q[4];\nrz(-0.0462) q[4];\nh q[4];\nh q[5];\nrz(-0.0462) q[5];\nh q[5];\nh q[6];\nrz(-0.0462) q[6];\nh q[6];\nh q[7];\nrz(-0.0462) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x1) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x9) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[3];\nrz(x14) q[4];\nrz(x15) q[5];\nrz(x16) q[6];\nrz(x10) q[7];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x18) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x18) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x18) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x18) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x18) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x18) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x18) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x18) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(x18) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x18) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x18) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x18) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x18) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x18) q[7];\ncx q[6], q[7];\nrz(x19) q[1];\nrz(x20) q[0];\nrz(x21) q[2];\nrz(x22) q[3];\nrz(x23) q[4];\nrz(x24) q[5];\nrz(x25) q[6];\nrz(x19) q[7];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["-2364041364570609263","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[0, 2, 3, 4, 5, 6, 8, 10, 11], [0, 1, 2, 7, 8, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 5, 6, 7, 10, 11], [1, 2, 3, 4, 6, 7, 9, 11], [0, 3, 4, 6, 7, 11], [0, 1, 3, 5, 7, 8, 9, 10, 11], [0, 2, 3, 5, 6, 8, 9, 11], [2, 4, 5, 6, 7, 8, 9, 10, 11], [1, 3, 4, 5, 6, 7, 10, 11], [0, 3, 5, 6, 8, 9, 10, 11], [2, 3, 5, 7, 10, 11], [1, 2, 4, 5, 6, 7, 8, 9, 11], [1, 2, 3, 4, 9, 10, 11], [0, 4, 5, 8, 9, 10, 11], [0, 2, 3, 5, 8, 9, 10, 11], [0, 2, 4, 6, 7, 9, 11]]}","{\"states\": [4052, 4060], \"expectation_value\": -2.834041921428549, \"params\": [1.2867, 1.8546, 1.3253000000000001, 1.5593000000000001, 1.5732000000000002, 1.5641, 1.5709000000000002, 1.5675000000000001, 1.5674000000000001, 1.5677, 1.5691000000000002, 1.5688, 0.23750000000000002, 0.2379, 1.5701, 1.5658, 0.8682000000000001, 0.8717, 1.6084, 1.5394, 0.2882, 0.28040000000000004, 0.1781, 0.1772, -0.9979, 0.008400000000000001, 0.0009000000000000001, 0.0039000000000000003, 0.0011, 0.0085, 0.0029000000000000002, 0.0067, 0.0033, 0.0038, -0.0012000000000000001, 0.0048000000000000004, 0.0025, 0.0091, -0.9490000000000001, 0.0098, 0.0022, 0.0091, 0.2985, 0.0066, -0.0261, 0.0076, 0.9162, 0.004200000000000001], \"bitstrings\": [\"000000101011\", \"000000100011\"], \"total_optimization_steps\": 210, \"probabilities\": [0.3504992145390292, 0.4832267142221267], \"optimization_time\": 52.1248722076416}","0.12417027417027415 * (Z(0) @ Z(2)) + 0.1336940836940837 * (Z(3) @ Z(2)) + 0.12377344877344876 * (Z(3) @ Z(0)) + 0.11623376623376623 * (Z(4) @ Z(2)) + 0.10393217893217893 * (Z(4) @ Z(0)) + 0.11583694083694082 * (Z(4) @ Z(3)) + 0.13766233766233765 * (Z(5) @ Z(2)) + 0.1321067821067821 * (Z(5) @ Z(0)) + 0.1416305916305916 * (Z(5) @ Z(3)) + 0.09242424242424242 * (Z(5) @ Z(4)) + 0.12813852813852813 * (Z(6) @ Z(2)) + 0.13369408369408367 * (Z(6) @ Z(0)) + 0.1277417027417027 * (Z(6) @ Z(3)) + 0.1436147186147186 * (Z(6) @ Z(4)) + 0.12218614718614718 * (Z(6) @ Z(5)) + 0.11028138528138529 * (Z(8) @ Z(2)) + 0.13805916305916305 * (Z(8) @ Z(0)) + 0.09044011544011543 * (Z(8) @ Z(3)) + 0.07456709956709956 * (Z(8) @ Z(4)) + 0.14202741702741703 * (Z(8) @ Z(5)) + 0.08647186147186148 * (Z(8) @ Z(6)) + 0.15353535353535352 * (Z(10) @ Z(2)) + 0.13805916305916305 * (Z(10) @ Z(0)) + 0.14758297258297257 * (Z(10) @ Z(3)) + 0.10234487734487735 * (Z(10) @ Z(4)) + 0.1793290043290043 * (Z(10) @ Z(5)) + 0.09044011544011543 * (Z(10) @ Z(6)) + 0.13409090909090907 * (Z(10) @ Z(8)) + 0.21785714285714283 * (Z(11) @ Z(2)) + 0.20396825396825394 * (Z(11) @ Z(0)) + 0.2075396825396825 * (Z(11) @ Z(3)) + 0.18214285714285713 * (Z(11) @ Z(4)) + 0.20198412698412696 * (Z(11) @ Z(5)) + 0.1880952380952381 * (Z(11) @ Z(6)) + 0.15674603174603174 * (Z(11) @ Z(8)) + 0.21785714285714283 * (Z(11) @ Z(10)) + 0.1063131313131313 * (Z(1) @ Z(2)) + 0.06464646464646465 * (Z(1) @ Z(0)) + 0.0825036075036075 * (Z(1) @ Z(3)) + 0.0825036075036075 * (Z(1) @ Z(4)) + 0.07258297258297258 * (Z(1) @ Z(5)) + 0.07655122655122656 * (Z(1) @ Z(6)) + 0.06067821067821068 * (Z(1) @ Z(8)) + 0.1063131313131313 * (Z(1) @ Z(10)) + 0.12896825396825395 * (Z(1) @ Z(11)) + 0.15353535353535352 * (Z(7) @ Z(2)) + 0.12178932178932178 * (Z(7) @ Z(0)) + 0.12536075036075034 * (Z(7) @ Z(3)) + 0.12972582972582972 * (Z(7) @ Z(4)) + 0.1198051948051948 * (Z(7) @ Z(5)) + 0.1475829725829726 * (Z(7) @ Z(6)) + 0.07456709956709956 * (Z(7) @ Z(8)) + 0.12972582972582972 * (Z(7) @ Z(10)) + 0.20952380952380953 * (Z(7) @ Z(11)) + 0.11424963924963924 * (Z(7) @ Z(1)) + 0.13805916305916305 * (Z(9) @ Z(2)) + 0.12417027417027415 * (Z(9) @ Z(0)) + 0.11821789321789322 * (Z(9) @ Z(3)) + 0.12615440115440116 * (Z(9) @ Z(4)) + 0.12813852813852813 * (Z(9) @ Z(5)) + 0.11424963924963924 * (Z(9) @ Z(6)) + 0.12813852813852813 * (Z(9) @ Z(8)) + 0.1202020202020202 * (Z(9) @ Z(10)) + 0.1845238095238095 * (Z(9) @ Z(11)) + 0.07853535353535354 * (Z(9) @ Z(1)) + 0.09242424242424242 * (Z(9) @ Z(7)) + 0.7597402597402598 * Z(2) + 0.7041847041847039 * Z(0) + 0.7071608946608944 * Z(3) + 0.6347402597402598 * Z(4) + 0.7349386724386723 * Z(5) + 0.679383116883117 * Z(6) + 0.5980339105339103 * Z(8) + 0.7597402597402597 * Z(10) + 1.0496031746031742 * Z(11) + 0.4869227994227995 * Z(1) + 0.7091450216450215 * Z(7) + 0.6764069264069263 * Z(9)",13,12,1,"{\"smallest_eigenvalues\": [-2.991883116883116], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.95021645021645, \"smallest_bitstrings\": [\"000000100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(1.2867) q[0];\nry(1.3253) q[1];\nry(1.5732) q[2];\nry(1.5709) q[3];\nry(1.5674) q[4];\nry(1.5691) q[5];\nry(0.2375) q[6];\nry(1.5701) q[7];\nry(0.8682) q[8];\nry(1.6084) q[9];\nry(0.2882) q[10];\nry(0.1781) q[11];\ncrz(-0.9979) q[11], q[0];\ncrz(0.9162) q[10], q[11];\ncrz(-0.0261) q[9], q[10];\ncrz(0.2985) q[8], q[9];\ncrz(0.0022) q[7], q[8];\ncrz(-0.949) q[6], q[7];\ncrz(0.0025) q[5], q[6];\ncrz(-0.0012) q[4], q[5];\ncrz(0.0033) q[3], q[4];\ncrz(0.0029) q[2], q[3];\ncrz(0.0011) q[1], q[2];\ncrz(0.0009) q[0], q[1];\nry(1.8546) q[0];\nry(1.5593) q[1];\nry(1.5641) q[2];\nry(1.5675) q[3];\nry(1.5677) q[4];\nry(1.5688) q[5];\nry(0.2379) q[6];\nry(1.5658) q[7];\nry(0.8717) q[8];\nry(1.5394) q[9];\nry(0.2804) q[10];\nry(0.1772) q[11];\ncrz(0.0084) q[11], q[10];\ncrz(0.0039) q[0], q[11];\ncrz(0.0085) q[0], q[1];\ncrz(0.0067) q[1], q[2];\ncrz(0.0038) q[2], q[3];\ncrz(0.0048) q[3], q[4];\ncrz(0.0091) q[4], q[5];\ncrz(0.0098) q[5], q[6];\ncrz(0.0091) q[6], q[7];\ncrz(0.0066) q[7], q[8];\ncrz(0.0076) q[8], q[9];\ncrz(0.0042) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncrz(x12) q[11], q[0];\ncrz(x13) q[10], q[11];\ncrz(x14) q[9], q[10];\ncrz(x15) q[8], q[9];\ncrz(x16) q[7], q[8];\ncrz(x17) q[6], q[7];\ncrz(x18) q[5], q[6];\ncrz(x19) q[4], q[5];\ncrz(x20) q[3], q[4];\ncrz(x21) q[2], q[3];\ncrz(x22) q[1], q[2];\ncrz(x23) q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x32) q[8];\nry(x33) q[9];\nry(x34) q[10];\nry(x35) q[11];\ncrz(x36) q[11], q[10];\ncrz(x37) q[0], q[11];\ncrz(x38) q[0], q[1];\ncrz(x39) q[1], q[2];\ncrz(x40) q[2], q[3];\ncrz(x41) q[3], q[4];\ncrz(x42) q[4], q[5];\ncrz(x43) q[5], q[6];\ncrz(x42) q[6], q[7];\ncrz(x44) q[7], q[8];\ncrz(x45) q[8], q[9];\ncrz(x46) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["e0ade851c431314b420faf30ab55361c","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 3, \"source\": 6, \"target\": 4}]}","{\"states\": [254, 127], \"expectation_value\": -4.890401561591801, \"params\": [[[0.0126, -0.004], [0.0009000000000000001, 0.048100000000000004], [0.003, 0.0025], [0.0007, 0.0018000000000000002], [0.001, -0.0013000000000000002], [-0.0021000000000000003, 0.0026000000000000003], [1.3927, 0.0001], [-0.48460000000000003, 0.0019]], [[-0.012100000000000001, -0.5725], [0.0039000000000000003, -0.0017000000000000001], [0.0025, 0.0018000000000000002], [0.0041, 0.0016], [0.0032, 0.0018000000000000002], [-0.0004, 0.0044], [0.0086, 0.2993], [1.6826, -0.0029000000000000002]], [[0.4038, -1.2388000000000001], [0.0023, -0.498], [0.0028, 0.0033], [0.0024000000000000002, 0.0018000000000000002], [0.002, -0.0013000000000000002], [0.001, 0.0029000000000000002], [0.2654, 0.009600000000000001], [-0.003, 0.013000000000000001]]], \"bitstrings\": [\"00000001\", \"10000000\"], \"total_optimization_steps\": 220, \"probabilities\": [0.32564221220443185, 0.39332692609768644], \"optimization_time\": 34.200042486190796}","-0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + -1.0 * Z(7) + 1.0 * Z(4) + -0.5 * Z(2) + 0.25 * Z(6) + 0.25 * Z(5)",15,8,3,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"10000000\", \"10100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.0126) q[0];\nry(0.0009) q[1];\nry(0.003) q[2];\nry(0.0007) q[3];\nry(0.001) q[4];\nry(-0.0021) q[5];\nry(1.3927) q[6];\nry(-0.4846) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.004) q[0];\nry(0.0481) q[1];\nry(0.0025) q[2];\nry(0.0018) q[3];\nry(-0.0013) q[4];\nry(0.0026) q[5];\nry(0.0001) q[6];\nry(0.0019) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(-0.0121) q[0];\nry(0.0039) q[1];\nry(0.0025) q[2];\nry(0.0041) q[3];\nry(0.0032) q[4];\nry(-0.0004) q[5];\nry(0.0086) q[6];\nry(1.6826) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.5725) q[0];\nry(-0.0017) q[1];\nry(0.0018) q[2];\nry(0.0016) q[3];\nry(0.0018) q[4];\nry(0.0044) q[5];\nry(0.2993) q[6];\nry(-0.0029) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(0.4038) q[0];\nry(0.0023) q[1];\nry(0.0028) q[2];\nry(0.0024) q[3];\nry(0.002) q[4];\nry(0.001) q[5];\nry(0.2654) q[6];\nry(-0.003) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-1.2388) q[0];\nry(-0.498) q[1];\nry(0.0033) q[2];\nry(0.0018) q[3];\nry(-0.0013) q[4];\nry(0.0029) q[5];\nry(0.0096) q[6];\nry(0.013) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(x16) q[0];\nry(x17) q[1];\nry(x10) q[2];\nry(x18) q[3];\nry(x19) q[4];\nry(x20) q[5];\nry(x21) q[6];\nry(x22) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x23) q[0];\nry(x24) q[1];\nry(x11) q[2];\nry(x25) q[3];\nry(x11) q[4];\nry(x26) q[5];\nry(x27) q[6];\nry(x28) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(x29) q[0];\nry(x30) q[1];\nry(x31) q[2];\nry(x32) q[3];\nry(x33) q[4];\nry(x4) q[5];\nry(x34) q[6];\nry(x35) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x36) q[0];\nry(x37) q[1];\nry(x38) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x39) q[5];\nry(x40) q[6];\nry(x41) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["c12dc8bfc0d8e8bc2e65cda825a741ab","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 2}]}","{\"states\": [8, 4], \"expectation_value\": -0.466579845141173, \"params\": [[-0.14100000000000001, -0.12940000000000002, -0.1811], [0.1524, 0.1206, 0.1676]], \"bitstrings\": [\"0111\", \"1011\"], \"total_optimization_steps\": 20, \"probabilities\": [0.10047012980968131, 0.10047012980968134], \"optimization_time\": 1.9165654182434082}","-0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2)",1,4,3,"{\"smallest_eigenvalues\": [-1.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.9999999999999999, \"smallest_bitstrings\": [\"1011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[3], q[0];\nrz(0.141) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.141) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.094) q[1];\ncx q[0], q[1];\nrz(0.141) q[3];\nrz(-0.047) q[0];\nrz(-0.047) q[1];\nrz(0.047) q[2];\nh q[0];\nrz(0.3048) q[0];\nh q[0];\nh q[1];\nrz(0.3048) q[1];\nh q[1];\nh q[2];\nrz(0.3048) q[2];\nh q[2];\nh q[3];\nrz(0.3048) q[3];\nh q[3];\ncx q[3], q[0];\nrz(0.1294) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.1294) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.0863) q[1];\ncx q[0], q[1];\nrz(0.1294) q[3];\nrz(-0.0431) q[0];\nrz(-0.0431) q[1];\nrz(0.0431) q[2];\nh q[0];\nrz(0.2412) q[0];\nh q[0];\nh q[1];\nrz(0.2412) q[1];\nh q[1];\nh q[2];\nrz(0.2412) q[2];\nh q[2];\nh q[3];\nrz(0.2412) q[3];\nh q[3];\ncx q[3], q[0];\nrz(0.1811) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(0.1811) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.1207) q[1];\ncx q[0], q[1];\nrz(0.1811) q[3];\nrz(-0.0604) q[0];\nrz(-0.0604) q[1];\nrz(0.0604) q[2];\nh q[0];\nrz(0.3352) q[0];\nh q[0];\nh q[1];\nrz(0.3352) q[1];\nh q[1];\nh q[2];\nrz(0.3352) q[2];\nh q[2];\nh q[3];\nrz(0.3352) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\nrz(x0) q[3];\nrz(x2) q[0];\nrz(x2) q[1];\nrz(x3) q[2];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\ncx q[3], q[0];\nrz(x5) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x5) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x6) q[1];\ncx q[0], q[1];\nrz(x5) q[3];\nrz(x7) q[0];\nrz(x7) q[1];\nrz(x8) q[2];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\ncx q[3], q[0];\nrz(x10) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x10) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x11) q[1];\ncx q[0], q[1];\nrz(x10) q[3];\nrz(x12) q[0];\nrz(x12) q[1];\nrz(x13) q[2];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","{\"source\": 0, \"sink\": 2}","{\"circuits\": [], \"gradients\": []}"]
["4ab3a9f98a5ea141820b159d6cb4ba53","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 4, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 6, \"target\": 5}]}","{\"states\": [123, 1], \"expectation_value\": -2.5586370011659474, \"params\": [[0.0729, 0.08270000000000001, 0.0772], [-0.06670000000000001, -0.08420000000000001, -0.0785]], \"bitstrings\": [\"10000100\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01292626289338662, 0.01664859250863524], \"optimization_time\": 7.86614727973938}","-0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(2)) + 1.5 * Z(4) + -0.25 * Z(0) + -2.0 * Z(5) + 0.25 * Z(1) + -0.5 * Z(3) + 0.75 * Z(7) + 0.25 * Z(2) + 0.0 * Z(6)",1,8,3,"{\"smallest_eigenvalues\": [-9.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.0, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[0];\nrz(-0.0729) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(-0.0365) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(-0.1458) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(-0.0729) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.1094) q[1];\ncx q[5], q[1];\ncx q[4], q[3];\nrz(-0.1094) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0365) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.1458) q[3];\ncx q[1], q[3];\ncx q[0], q[7];\nrz(0.2552) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(-0.1094) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(-0.0365) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(-0.0729) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0365) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(-0.0729) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(-0.0729) q[6];\ncx q[2], q[6];\nrz(0.2187) q[4];\nrz(-0.0365) q[0];\nrz(-0.2916) q[5];\nrz(0.0365) q[1];\nrz(-0.0729) q[3];\nrz(0.1094) q[7];\nrz(0.0365) q[2];\nrz(0) q[6];\nh q[0];\nrz(-0.1334) q[0];\nh q[0];\nh q[1];\nrz(-0.1334) q[1];\nh q[1];\nh q[2];\nrz(-0.1334) q[2];\nh q[2];\nh q[3];\nrz(-0.1334) q[3];\nh q[3];\nh q[4];\nrz(-0.1334) q[4];\nh q[4];\nh q[5];\nrz(-0.1334) q[5];\nh q[5];\nh q[6];\nrz(-0.1334) q[6];\nh q[6];\nh q[7];\nrz(-0.1334) q[7];\nh q[7];\ncx q[4], q[0];\nrz(-0.0827) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(-0.0414) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(-0.1654) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(-0.0827) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.1241) q[1];\ncx q[5], q[1];\ncx q[4], q[3];\nrz(-0.1241) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0414) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.1654) q[3];\ncx q[1], q[3];\ncx q[0], q[7];\nrz(0.2895) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(-0.1241) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(-0.0414) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(-0.0827) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0414) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(-0.0827) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(-0.0827) q[6];\ncx q[2], q[6];\nrz(0.2481) q[4];\nrz(-0.0414) q[0];\nrz(-0.3308) q[5];\nrz(0.0414) q[1];\nrz(-0.0827) q[3];\nrz(0.1241) q[7];\nrz(0.0414) q[2];\nrz(0) q[6];\nh q[0];\nrz(-0.1684) q[0];\nh q[0];\nh q[1];\nrz(-0.1684) q[1];\nh q[1];\nh q[2];\nrz(-0.1684) q[2];\nh q[2];\nh q[3];\nrz(-0.1684) q[3];\nh q[3];\nh q[4];\nrz(-0.1684) q[4];\nh q[4];\nh q[5];\nrz(-0.1684) q[5];\nh q[5];\nh q[6];\nrz(-0.1684) q[6];\nh q[6];\nh q[7];\nrz(-0.1684) q[7];\nh q[7];\ncx q[4], q[0];\nrz(-0.0772) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(-0.0386) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(-0.1544) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(-0.0772) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.1158) q[1];\ncx q[5], q[1];\ncx q[4], q[3];\nrz(-0.1158) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0386) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.1544) q[3];\ncx q[1], q[3];\ncx q[0], q[7];\nrz(0.2702) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(-0.1158) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(-0.0386) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(-0.0772) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0386) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(-0.0772) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(-0.0772) q[6];\ncx q[2], q[6];\nrz(0.2316) q[4];\nrz(-0.0386) q[0];\nrz(-0.3088) q[5];\nrz(0.0386) q[1];\nrz(-0.0772) q[3];\nrz(0.1158) q[7];\nrz(0.0386) q[2];\nrz(0) q[6];\nh q[0];\nrz(-0.157) q[0];\nh q[0];\nh q[1];\nrz(-0.157) q[1];\nh q[1];\nh q[2];\nrz(-0.157) q[2];\nh q[2];\nh q[3];\nrz(-0.157) q[3];\nh q[3];\nh q[4];\nrz(-0.157) q[4];\nh q[4];\nh q[5];\nrz(-0.157) q[5];\nh q[5];\nh q[6];\nrz(-0.157) q[6];\nh q[6];\nh q[7];\nrz(-0.157) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x3) q[1];\ncx q[5], q[1];\ncx q[4], q[3];\nrz(x3) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x1) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x3) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\nrz(x5) q[4];\nrz(x1) q[0];\nrz(x6) q[5];\nrz(x7) q[1];\nrz(x0) q[3];\nrz(x8) q[7];\nrz(x7) q[2];\nrz(x9) q[6];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\ncx q[4], q[0];\nrz(x11) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(x12) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x13) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x11) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x14) q[1];\ncx q[5], q[1];\ncx q[4], q[3];\nrz(x14) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x12) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x13) q[3];\ncx q[1], q[3];\ncx q[0], q[7];\nrz(x15) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x14) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(x12) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(x11) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x12) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(x11) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\nrz(x16) q[4];\nrz(x12) q[0];\nrz(x17) q[5];\nrz(x18) q[1];\nrz(x11) q[3];\nrz(x19) q[7];\nrz(x18) q[2];\nrz(x9) q[6];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nh q[7];\nrz(x20) q[7];\nh q[7];\ncx q[4], q[0];\nrz(x21) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(x22) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x23) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x21) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x24) q[1];\ncx q[5], q[1];\ncx q[4], q[3];\nrz(x24) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x22) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x23) q[3];\ncx q[1], q[3];\ncx q[0], q[7];\nrz(x25) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x24) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(x22) q[7];\ncx q[1], q[7];\ncx q[4], q[2];\nrz(x21) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x22) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(x21) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x21) q[6];\ncx q[2], q[6];\nrz(x26) q[4];\nrz(x22) q[0];\nrz(x27) q[5];\nrz(x28) q[1];\nrz(x21) q[3];\nrz(x29) q[7];\nrz(x28) q[2];\nrz(x9) q[6];\nh q[0];\nrz(x30) q[0];\nh q[0];\nh q[1];\nrz(x30) q[1];\nh q[1];\nh q[2];\nrz(x30) q[2];\nh q[2];\nh q[3];\nrz(x30) q[3];\nh q[3];\nh q[4];\nrz(x30) q[4];\nh q[4];\nh q[5];\nrz(x30) q[5];\nh q[5];\nh q[6];\nrz(x30) q[6];\nh q[6];\nh q[7];\nrz(x30) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["7254169215238567323","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[8, 7], [8, 3], [4, 5], [1, 4], [2, 5], [3, 6], [8, 1], [1, 2], [2, 3], [5, 6], [0, 5], [2, 6], [2, 4], [4, 7], [1, 3]]}","{\"states\": [277, 341], \"expectation_value\": -2.0326333652175563, \"params\": [0.9094000000000001, -0.0014, 0.9041, 0.0092, 0.8968, 0.0009000000000000001, 0.6771, 0.0078000000000000005, 0.9016000000000001, 0.0015, 0.8986000000000001, 0.0038, 0.8986000000000001, 0.001, 0.6868000000000001, 0.0026000000000000003, 0.9044000000000001, 0.0017000000000000001, 0.9024000000000001, 0.0099, 0.6481, 0.0012000000000000001, 0.4867, 0.0082, 0.9092, 0.0019, 0.9037000000000001, 0.0015, 0.8926000000000001, 0.0013000000000000002, 0.44420000000000004, 0.0074, 0.8988, 0.0007, 0.8974000000000001, 0.0066, 0.6156, -0.41150000000000003, -0.0937, -0.3866, 0.49110000000000004, -0.36810000000000004, 0.4022, -0.5172, 0.4166], \"bitstrings\": [\"011101010\", \"010101010\"], \"total_optimization_steps\": 90, \"probabilities\": [0.13548481701458645, 0.23385510995365988], \"optimization_time\": 22.831034421920776}","0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(0)",6,9,1,"{\"smallest_eigenvalues\": [-4.5, -4.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"101010101\", \"010101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.9094) q[0];\nrz(-0.0014) q[0];\nrx(0.8968) q[1];\nrz(0.0009) q[1];\nrx(0.9016) q[2];\nrz(0.0015) q[2];\nrx(0.8986) q[3];\nrz(0.001) q[3];\nrx(0.9044) q[4];\nrz(0.0017) q[4];\nrx(0.6481) q[5];\nrz(0.0012) q[5];\nrx(0.9092) q[6];\nrz(0.0019) q[6];\nrx(0.8926) q[7];\nrz(0.0013) q[7];\nrx(0.8988) q[8];\nrz(0.0007) q[8];\ncrx(-0.5172) q[8], q[7];\ncrx(0.4022) q[8], q[6];\ncrx(-0.3681) q[8], q[5];\ncrx(0.4911) q[8], q[4];\ncrx(-0.3866) q[8], q[3];\ncrx(-0.0937) q[8], q[2];\ncrx(-0.4115) q[8], q[1];\ncrx(0.6156) q[8], q[0];\ncrx(0.4166) q[7], q[8];\ncrx(0.4022) q[7], q[6];\ncrx(-0.3681) q[7], q[5];\ncrx(0.4911) q[7], q[4];\ncrx(-0.3866) q[7], q[3];\ncrx(-0.0937) q[7], q[2];\ncrx(-0.4115) q[7], q[1];\ncrx(0.6156) q[7], q[0];\ncrx(0.4166) q[6], q[8];\ncrx(-0.5172) q[6], q[7];\ncrx(-0.3681) q[6], q[5];\ncrx(0.4911) q[6], q[4];\ncrx(-0.3866) q[6], q[3];\ncrx(-0.0937) q[6], q[2];\ncrx(-0.4115) q[6], q[1];\ncrx(0.6156) q[6], q[0];\ncrx(0.4166) q[5], q[8];\ncrx(-0.5172) q[5], q[7];\ncrx(0.4022) q[5], q[6];\ncrx(0.4911) q[5], q[4];\ncrx(-0.3866) q[5], q[3];\ncrx(-0.0937) q[5], q[2];\ncrx(-0.4115) q[5], q[1];\ncrx(0.6156) q[5], q[0];\ncrx(0.4166) q[4], q[8];\ncrx(-0.5172) q[4], q[7];\ncrx(0.4022) q[4], q[6];\ncrx(-0.3681) q[4], q[5];\ncrx(-0.3866) q[4], q[3];\ncrx(-0.0937) q[4], q[2];\ncrx(-0.4115) q[4], q[1];\ncrx(0.6156) q[4], q[0];\ncrx(0.4166) q[3], q[8];\ncrx(-0.5172) q[3], q[7];\ncrx(0.4022) q[3], q[6];\ncrx(-0.3681) q[3], q[5];\ncrx(0.4911) q[3], q[4];\ncrx(-0.0937) q[3], q[2];\ncrx(-0.4115) q[3], q[1];\ncrx(0.6156) q[3], q[0];\ncrx(0.4166) q[2], q[8];\ncrx(-0.5172) q[2], q[7];\ncrx(0.4022) q[2], q[6];\ncrx(-0.3681) q[2], q[5];\ncrx(0.4911) q[2], q[4];\ncrx(-0.3866) q[2], q[3];\ncrx(-0.4115) q[2], q[1];\ncrx(0.6156) q[2], q[0];\ncrx(0.4166) q[1], q[8];\ncrx(-0.5172) q[1], q[7];\ncrx(0.4022) q[1], q[6];\ncrx(-0.3681) q[1], q[5];\ncrx(0.4911) q[1], q[4];\ncrx(-0.3866) q[1], q[3];\ncrx(-0.0937) q[1], q[2];\ncrx(0.6156) q[1], q[0];\ncrx(0.4166) q[0], q[8];\ncrx(-0.5172) q[0], q[7];\ncrx(0.4022) q[0], q[6];\ncrx(-0.3681) q[0], q[5];\ncrx(0.4911) q[0], q[4];\ncrx(-0.3866) q[0], q[3];\ncrx(-0.0937) q[0], q[2];\ncrx(-0.4115) q[0], q[1];\nrx(0.9041) q[0];\nrz(0.0092) q[0];\nrx(0.6771) q[1];\nrz(0.0078) q[1];\nrx(0.8986) q[2];\nrz(0.0038) q[2];\nrx(0.6868) q[3];\nrz(0.0026) q[3];\nrx(0.9024) q[4];\nrz(0.0099) q[4];\nrx(0.4867) q[5];\nrz(0.0082) q[5];\nrx(0.9037) q[6];\nrz(0.0015) q[6];\nrx(0.4442) q[7];\nrz(0.0074) q[7];\nrx(0.8974) q[8];\nrz(0.0066) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrx(x18) q[8], q[7];\ncrx(x19) q[8], q[6];\ncrx(x20) q[8], q[5];\ncrx(x21) q[8], q[4];\ncrx(x22) q[8], q[3];\ncrx(x23) q[8], q[2];\ncrx(x24) q[8], q[1];\ncrx(x25) q[8], q[0];\ncrx(x26) q[7], q[8];\ncrx(x19) q[7], q[6];\ncrx(x20) q[7], q[5];\ncrx(x21) q[7], q[4];\ncrx(x22) q[7], q[3];\ncrx(x23) q[7], q[2];\ncrx(x24) q[7], q[1];\ncrx(x25) q[7], q[0];\ncrx(x26) q[6], q[8];\ncrx(x18) q[6], q[7];\ncrx(x20) q[6], q[5];\ncrx(x21) q[6], q[4];\ncrx(x22) q[6], q[3];\ncrx(x23) q[6], q[2];\ncrx(x24) q[6], q[1];\ncrx(x25) q[6], q[0];\ncrx(x26) q[5], q[8];\ncrx(x18) q[5], q[7];\ncrx(x19) q[5], q[6];\ncrx(x21) q[5], q[4];\ncrx(x22) q[5], q[3];\ncrx(x23) q[5], q[2];\ncrx(x24) q[5], q[1];\ncrx(x25) q[5], q[0];\ncrx(x26) q[4], q[8];\ncrx(x18) q[4], q[7];\ncrx(x19) q[4], q[6];\ncrx(x20) q[4], q[5];\ncrx(x22) q[4], q[3];\ncrx(x23) q[4], q[2];\ncrx(x24) q[4], q[1];\ncrx(x25) q[4], q[0];\ncrx(x26) q[3], q[8];\ncrx(x18) q[3], q[7];\ncrx(x19) q[3], q[6];\ncrx(x20) q[3], q[5];\ncrx(x21) q[3], q[4];\ncrx(x23) q[3], q[2];\ncrx(x24) q[3], q[1];\ncrx(x25) q[3], q[0];\ncrx(x26) q[2], q[8];\ncrx(x18) q[2], q[7];\ncrx(x19) q[2], q[6];\ncrx(x20) q[2], q[5];\ncrx(x21) q[2], q[4];\ncrx(x22) q[2], q[3];\ncrx(x24) q[2], q[1];\ncrx(x25) q[2], q[0];\ncrx(x26) q[1], q[8];\ncrx(x18) q[1], q[7];\ncrx(x19) q[1], q[6];\ncrx(x20) q[1], q[5];\ncrx(x21) q[1], q[4];\ncrx(x22) q[1], q[3];\ncrx(x23) q[1], q[2];\ncrx(x25) q[1], q[0];\ncrx(x26) q[0], q[8];\ncrx(x18) q[0], q[7];\ncrx(x19) q[0], q[6];\ncrx(x20) q[0], q[5];\ncrx(x21) q[0], q[4];\ncrx(x22) q[0], q[3];\ncrx(x23) q[0], q[2];\ncrx(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x6) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x36) q[5];\nrz(x37) q[5];\nrx(x38) q[6];\nrz(x5) q[6];\nrx(x39) q[7];\nrz(x40) q[7];\nrx(x41) q[8];\nrz(x42) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["4973527a678849b98f57c7e36651dc7d","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [638, 574], \"expectation_value\": -1.9184283916635605, \"params\": [0.5006, 0.4978, 0.0889, 0.08320000000000001, 0.3417, 0.3425, 0.34750000000000003, 0.3416, 0.5002, 0.5039, 0.49150000000000005, 0.4939, 0.49870000000000003, 0.504, 0.49570000000000003, 0.49620000000000003, 0.5036, 0.5059, -0.0024000000000000002, -0.0077, 0.5044000000000001, 0.49670000000000003, 0.07970000000000001, 0.07780000000000001, 0.33030000000000004, 0.32630000000000003, 0.35100000000000003, 0.3481, 0.5073, 0.5082, 0.4973, 0.4889, 0.4998, 0.5013000000000001, 0.4983, 0.5043, 0.49810000000000004, 0.49810000000000004, 0.0012000000000000001, -0.0019, 0.3632, 0.30660000000000004, 0.342, 0.0043, 0.48310000000000003, 0.3855, -0.013600000000000001, 0.4842, -0.1504, 0.0888, 0.27590000000000003, 0.0245, 0.4806, 0.3105, 0.2482, 0.48510000000000003, 0.2577, 0.48410000000000003, 0.009000000000000001, 0.46190000000000003, 0.1295, 0.33690000000000003, -0.1626, 0.0089, 0.4849, -0.2114, 0.0874, 0.2751, 0.0734, 0.1246, 0.37670000000000003, 0.30960000000000004, 0.4908, 0.4612, 0.4893, 0.4827, 0.4848, 0.48550000000000004, 0.0089, 0.4541], \"bitstrings\": [\"0110000001\", \"0111000001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.05684596930848929, 0.07690869428999328], \"optimization_time\": 15.444703817367554}","0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(6)) + -0.125 * (Z(0) @ Z(6) @ Z(5)) + -0.125 * (Z(5) @ Z(2) @ Z(6)) + 0.125 * (Z(0) @ Z(2) @ Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(8) @ Z(7)) + -0.125 * (Z(5) @ Z(7) @ Z(3)) + -0.125 * (Z(8) @ Z(5) @ Z(3)) + -0.125 * (Z(8) @ Z(7) @ Z(3)) + -0.125 * (Z(8) @ Z(5) @ Z(7)) + 0.125 * (Z(7) @ Z(8) @ Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(9) @ Z(4)) + 0.125 * (Z(8) @ Z(6)) + 0.125 * (Z(6) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(6) @ Z(4)) + -0.125 * (Z(6) @ Z(9) @ Z(4)) + -0.125 * (Z(8) @ Z(9) @ Z(4)) + -0.125 * (Z(8) @ Z(6) @ Z(9)) + 0.125 * (Z(8) @ Z(6) @ Z(9) @ Z(4)) + -0.125 * Z(0) + -0.5 * Z(1) + 0.125 * Z(2) + 0.125 * Z(3) + 0.125 * Z(4) + 0.25 * Z(5) + 0.25 * Z(6) + -0.125 * Z(7) + 0.25 * Z(8) + -0.625 * Z(9)",14,10,2,"{\"smallest_eigenvalues\": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], \"number_of_smallest_eigenvalues\": 11, \"first_excited_energy\": -2.625, \"smallest_bitstrings\": [\"1001000101\", \"0101001001\", \"0110000101\", \"0110000011\", \"0111000001\", \"0101010001\", \"1101000001\", \"1000100101\", \"0100110001\", \"1010000101\", \"0110010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.5006) q[0];\nry(0.0889) q[1];\nry(0.3417) q[2];\nry(0.3475) q[3];\nry(0.5002) q[4];\nry(0.4915) q[5];\nry(0.4987) q[6];\nry(0.4957) q[7];\nry(0.5036) q[8];\nry(-0.0024) q[9];\ncrx(0.3632) q[9], q[0];\ncrx(0.009) q[8], q[9];\ncrx(0.2577) q[7], q[8];\ncrx(0.2482) q[6], q[7];\ncrx(0.4806) q[5], q[6];\ncrx(0.2759) q[4], q[5];\ncrx(-0.1504) q[3], q[4];\ncrx(-0.0136) q[2], q[3];\ncrx(0.4831) q[1], q[2];\ncrx(0.342) q[0], q[1];\nry(0.4978) q[0];\nry(0.0832) q[1];\nry(0.3425) q[2];\nry(0.3416) q[3];\nry(0.5039) q[4];\nry(0.4939) q[5];\nry(0.504) q[6];\nry(0.4962) q[7];\nry(0.5059) q[8];\nry(-0.0077) q[9];\ncrx(0.3066) q[9], q[8];\ncrx(0.0043) q[0], q[9];\ncrx(0.3855) q[0], q[1];\ncrx(0.4842) q[1], q[2];\ncrx(0.0888) q[2], q[3];\ncrx(0.0245) q[3], q[4];\ncrx(0.3105) q[4], q[5];\ncrx(0.4851) q[5], q[6];\ncrx(0.4841) q[6], q[7];\ncrx(0.4619) q[7], q[8];\nry(0.5044) q[0];\nry(0.0797) q[1];\nry(0.3303) q[2];\nry(0.351) q[3];\nry(0.5073) q[4];\nry(0.4973) q[5];\nry(0.4998) q[6];\nry(0.4983) q[7];\nry(0.4981) q[8];\nry(0.0012) q[9];\ncrx(0.1295) q[9], q[0];\ncrx(0.0089) q[8], q[9];\ncrx(0.4848) q[7], q[8];\ncrx(0.4893) q[6], q[7];\ncrx(0.4908) q[5], q[6];\ncrx(0.3767) q[4], q[5];\ncrx(0.0734) q[3], q[4];\ncrx(0.0874) q[2], q[3];\ncrx(0.4849) q[1], q[2];\ncrx(-0.1626) q[0], q[1];\nry(0.4967) q[0];\nry(0.0778) q[1];\nry(0.3263) q[2];\nry(0.3481) q[3];\nry(0.5082) q[4];\nry(0.4889) q[5];\nry(0.5013) q[6];\nry(0.5043) q[7];\nry(0.4981) q[8];\nry(-0.0019) q[9];\ncrx(0.3369) q[9], q[8];\ncrx(0.0089) q[0], q[9];\ncrx(-0.2114) q[0], q[1];\ncrx(0.2751) q[1], q[2];\ncrx(0.1246) q[2], q[3];\ncrx(0.3096) q[3], q[4];\ncrx(0.4612) q[4], q[5];\ncrx(0.4827) q[5], q[6];\ncrx(0.4855) q[6], q[7];\ncrx(0.4541) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncrx(x10) q[9], q[0];\ncrx(x11) q[8], q[9];\ncrx(x12) q[7], q[8];\ncrx(x13) q[6], q[7];\ncrx(x14) q[5], q[6];\ncrx(x15) q[4], q[5];\ncrx(x16) q[3], q[4];\ncrx(x17) q[2], q[3];\ncrx(x18) q[1], q[2];\ncrx(x19) q[0], q[1];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncrx(x30) q[9], q[8];\ncrx(x31) q[0], q[9];\ncrx(x32) q[0], q[1];\ncrx(x33) q[1], q[2];\ncrx(x34) q[2], q[3];\ncrx(x35) q[3], q[4];\ncrx(x36) q[4], q[5];\ncrx(x37) q[5], q[6];\ncrx(x38) q[6], q[7];\ncrx(x39) q[7], q[8];\nry(x40) q[0];\nry(x41) q[1];\nry(x42) q[2];\nry(x43) q[3];\nry(x44) q[4];\nry(x45) q[5];\nry(x46) q[6];\nry(x47) q[7];\nry(x48) q[8];\nry(x49) q[9];\ncrx(x50) q[9], q[0];\ncrx(x51) q[8], q[9];\ncrx(x52) q[7], q[8];\ncrx(x53) q[6], q[7];\ncrx(x54) q[5], q[6];\ncrx(x55) q[4], q[5];\ncrx(x56) q[3], q[4];\ncrx(x57) q[2], q[3];\ncrx(x58) q[1], q[2];\ncrx(x59) q[0], q[1];\nry(x60) q[0];\nry(x61) q[1];\nry(x62) q[2];\nry(x63) q[3];\nry(x64) q[4];\nry(x65) q[5];\nry(x66) q[6];\nry(x67) q[7];\nry(x48) q[8];\nry(x68) q[9];\ncrx(x69) q[9], q[8];\ncrx(x51) q[0], q[9];\ncrx(x70) q[0], q[1];\ncrx(x71) q[1], q[2];\ncrx(x72) q[2], q[3];\ncrx(x73) q[3], q[4];\ncrx(x74) q[4], q[5];\ncrx(x75) q[5], q[6];\ncrx(x76) q[6], q[7];\ncrx(x77) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["e0516bb518ee285d23a8010370ebd407","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}]}","{\"states\": [76, 108], \"expectation_value\": -0.1959464928890504, \"params\": [[0.0546], [-0.0478]], \"bitstrings\": [\"0110011\", \"0010011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008432118735049763, 0.008681682389836793], \"optimization_time\": 1.687668800354004}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(5) + -1.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-6.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"0010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(0.0546) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(0.0546) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0546) q[5];\ncx q[0], q[5];\ncx q[2], q[6];\nrz(0.0546) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0546) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(0.0546) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(0.0546) q[1];\ncx q[6], q[1];\ncx q[2], q[3];\nrz(0.0546) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(0.0546) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(0.0546) q[3];\ncx q[6], q[3];\ncx q[2], q[4];\nrz(0.0546) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(0.0546) q[4];\ncx q[5], q[4];\nrz(-0.273) q[2];\nrz(-0.1092) q[0];\nrz(-0.1638) q[5];\nrz(-0.1638) q[6];\nrz(-0.0546) q[1];\nrz(-0.1092) q[3];\nrz(-0.0546) q[4];\nh q[0];\nrz(-0.0956) q[0];\nh q[0];\nh q[1];\nrz(-0.0956) q[1];\nh q[1];\nh q[2];\nrz(-0.0956) q[2];\nh q[2];\nh q[3];\nrz(-0.0956) q[3];\nh q[3];\nh q[4];\nrz(-0.0956) q[4];\nh q[4];\nh q[5];\nrz(-0.0956) q[5];\nh q[5];\nh q[6];\nrz(-0.0956) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(x0) q[1];\ncx q[6], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x3) q[5];\nrz(x3) q[6];\nrz(x4) q[1];\nrz(x2) q[3];\nrz(x4) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["82f2332f741b5ec7aa4bb36843cd0c9a","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [49, 41], \"expectation_value\": -4.499937480746297, \"params\": null, \"bitstrings\": [\"001110\", \"010110\"], \"total_optimization_steps\": 26, \"probabilities\": [1.635691870469763e-05, 0.9999687410148395], \"optimization_time\": 20.369145154953003}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nry(-1.5681) q[4];\nry(-1.4449) q[1];\nry(1.4449) q[5];\nry(1.4417) q[2];\nry(1.4417) q[0];\ncry(-0.1259) q[2], q[1];\ncry(0.1217) q[5], q[0];\ncry(0.1216) q[0], q[2];\ncry(0.1186) q[2], q[5];\ncry(-0.0027) q[5], q[4];\ncry(-0.0005) q[5], q[1];\ncry(0.0074) q[2], q[0];\ncry(0.0069) q[5], q[2];\ncry(0.0067) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[5], q[1];\\ncry(0.0074) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[5], q[1];\\ncry(0.0074) q[2], q[0];\\ncry(0.0069) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[5], q[1];\\ncry(0.0074) q[2], q[0];\\ncry(0.0069) q[5], q[2];\\ncry(0.0067) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[5], q[1];\\ncry(0.0074) q[2], q[0];\\ncry(0.0069) q[5], q[2];\\ncry(0.0067) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[4];\\nry(-1.4449) q[1];\\nry(1.4449) q[5];\\nry(1.4417) q[2];\\nry(1.4417) q[0];\\ncry(-0.1259) q[2], q[1];\\ncry(0.1217) q[5], q[0];\\ncry(0.1216) q[0], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[5], q[1];\\ncry(0.0074) q[2], q[0];\\ncry(0.0069) q[5], q[2];\\ncry(0.0067) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.5092, 1.0052, 0.5023, 0.5004, 0.4961, 0.4958, 0.1916, 0.0631, 0.0633, 0.0617, 0.0143, 0.01, 0.0075, 0.006, 0.006, 0.005, 0.005, 0.0045, 0.0045, 0.0045, 0.0038, 0.0034, 0.0031, 0.003, 0.003, 0.003]}"]
["-2181444431195516262","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[2, 4, 5, 7, 8, 10, 11], [0, 2, 3, 5, 8, 9, 11], [8, 0, 10, 1], [10, 2, 4, 6], [0, 2, 5, 6, 7, 8], [0, 2, 3, 7, 8, 10], [1, 2, 3, 5, 9, 10], [1, 3, 5, 8, 11], [8, 1, 2, 3], [0, 3, 4, 5, 7, 8, 9], [0, 1, 2, 5, 7, 11], [0, 3, 4, 5, 9, 10, 11], [1, 2, 4, 5, 10, 11], [0, 1, 3, 6, 8], [1, 2, 3, 6, 11], [0, 1, 4, 6], [8, 0, 11, 6]]}","{\"states\": [1531, 1471], \"expectation_value\": -2.3510617926874273, \"params\": [[0.34590000000000004], [-0.3679]], \"bitstrings\": [\"101000000100\", \"101001000000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.001229241555121082, 0.001263696329735409], \"optimization_time\": 180.4925389289856}","0.14047619047619048 * (Z(2) @ Z(4)) + 0.10476190476190475 * (Z(5) @ Z(4)) + 0.18095238095238092 * (Z(5) @ Z(2)) + 0.047619047619047616 * (Z(7) @ Z(4)) + 0.12380952380952381 * (Z(7) @ Z(2)) + 0.11428571428571427 * (Z(7) @ Z(5)) + 0.047619047619047616 * (Z(8) @ Z(4)) + 0.19761904761904758 * (Z(8) @ Z(2)) + 0.15476190476190474 * (Z(8) @ Z(5)) + 0.11428571428571428 * (Z(8) @ Z(7)) + 0.16428571428571426 * (Z(10) @ Z(4)) + 0.20714285714285713 * (Z(10) @ Z(2)) + 0.11428571428571427 * (Z(10) @ Z(5)) + 0.05714285714285714 * (Z(10) @ Z(7)) + 0.14047619047619048 * (Z(10) @ Z(8)) + 0.08095238095238094 * (Z(11) @ Z(4)) + 0.16428571428571426 * (Z(11) @ Z(2)) + 0.1880952380952381 * (Z(11) @ Z(5)) + 0.05714285714285714 * (Z(11) @ Z(7)) + 0.18095238095238095 * (Z(11) @ Z(8)) + 0.08095238095238094 * (Z(11) @ Z(10)) + 0.13095238095238093 * (Z(0) @ Z(4)) + 0.12380952380952381 * (Z(0) @ Z(2)) + 0.13809523809523808 * (Z(0) @ Z(5)) + 0.12380952380952381 * (Z(0) @ Z(7)) + 0.33095238095238094 * (Z(0) @ Z(8)) + 0.14047619047619048 * (Z(0) @ Z(10)) + 0.16428571428571426 * (Z(0) @ Z(11)) + 0.047619047619047616 * (Z(3) @ Z(4)) + 0.2238095238095238 * (Z(3) @ Z(2)) + 0.15476190476190477 * (Z(3) @ Z(5)) + 0.05714285714285714 * (Z(3) @ Z(7)) + 0.2642857142857143 * (Z(3) @ Z(8)) + 0.09047619047619047 * (Z(3) @ Z(10)) + 0.14761904761904762 * (Z(3) @ Z(11)) + 0.15476190476190477 * (Z(3) @ Z(0)) + 0.047619047619047616 * (Z(9) @ Z(4)) + 0.05714285714285714 * (Z(9) @ Z(2)) + 0.10476190476190475 * (Z(9) @ Z(5)) + 0.023809523809523808 * (Z(9) @ Z(7)) + 0.047619047619047616 * (Z(9) @ Z(8)) + 0.05714285714285714 * (Z(9) @ Z(10)) + 0.047619047619047616 * (Z(9) @ Z(11)) + 0.07142857142857142 * (Z(9) @ Z(0)) + 0.10476190476190475 * (Z(9) @ Z(3)) + 0.11666666666666667 * (Z(1) @ Z(4)) + 0.23333333333333334 * (Z(1) @ Z(2)) + 0.15 * (Z(1) @ Z(5)) + 0.03333333333333333 * (Z(1) @ Z(7)) + 0.26666666666666666 * (Z(1) @ Z(8)) + 0.15 * (Z(1) @ Z(10)) + 0.16666666666666669 * (Z(1) @ Z(11)) + 0.25 * (Z(1) @ Z(0)) + 0.26666666666666666 * (Z(1) @ Z(3)) + 0.03333333333333333 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666669 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(6) @ Z(7)) + 0.16666666666666669 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(10)) + 0.13333333333333333 * (Z(6) @ Z(11)) + 0.25 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(3)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.5476190476190477 * Z(4) + 0.9095238095238097 * Z(2) + 0.719047619047619 * Z(5) + 0.39285714285714285 * Z(7) + 0.9559523809523809 * Z(8) + 0.6428571428571426 * Z(10) + 0.705952380952381 * Z(11) + 0.9392857142857141 * Z(0) + 0.8059523809523811 * Z(3) + 0.2976190476190476 * Z(9) + 0.925 * Z(1) + 0.6583333333333333 * Z(6)",1,12,1,"{\"smallest_eigenvalues\": [-3.364285714285714], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.3476190476190473, \"smallest_bitstrings\": [\"101001000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[4], q[2];\nrz(0.0972) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(0.0725) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(0.1252) q[5];\ncx q[2], q[5];\ncx q[4], q[7];\nrz(0.0329) q[7];\ncx q[4], q[7];\ncx q[2], q[7];\nrz(0.0857) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.0791) q[7];\ncx q[5], q[7];\ncx q[4], q[8];\nrz(0.0329) q[8];\ncx q[4], q[8];\ncx q[2], q[8];\nrz(0.1367) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(0.1071) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(0.0791) q[8];\ncx q[7], q[8];\ncx q[4], q[10];\nrz(0.1137) q[10];\ncx q[4], q[10];\ncx q[2], q[10];\nrz(0.1433) q[10];\ncx q[2], q[10];\ncx q[5], q[10];\nrz(0.0791) q[10];\ncx q[5], q[10];\ncx q[7], q[10];\nrz(0.0395) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(0.0972) q[10];\ncx q[8], q[10];\ncx q[4], q[11];\nrz(0.056) q[11];\ncx q[4], q[11];\ncx q[2], q[11];\nrz(0.1137) q[11];\ncx q[2], q[11];\ncx q[5], q[11];\nrz(0.1301) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(0.0395) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(0.1252) q[11];\ncx q[8], q[11];\ncx q[10], q[11];\nrz(0.056) q[11];\ncx q[10], q[11];\ncx q[4], q[0];\nrz(0.0906) q[0];\ncx q[4], q[0];\ncx q[2], q[0];\nrz(0.0857) q[0];\ncx q[2], q[0];\ncx q[5], q[0];\nrz(0.0955) q[0];\ncx q[5], q[0];\ncx q[7], q[0];\nrz(0.0857) q[0];\ncx q[7], q[0];\ncx q[8], q[0];\nrz(0.229) q[0];\ncx q[8], q[0];\ncx q[10], q[0];\nrz(0.0972) q[0];\ncx q[10], q[0];\ncx q[11], q[0];\nrz(0.1137) q[0];\ncx q[11], q[0];\ncx q[4], q[3];\nrz(0.0329) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(0.1548) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(0.1071) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(0.0395) q[3];\ncx q[7], q[3];\ncx q[8], q[3];\nrz(0.1828) q[3];\ncx q[8], q[3];\ncx q[10], q[3];\nrz(0.0626) q[3];\ncx q[10], q[3];\ncx q[11], q[3];\nrz(0.1021) q[3];\ncx q[11], q[3];\ncx q[0], q[3];\nrz(0.1071) q[3];\ncx q[0], q[3];\ncx q[4], q[9];\nrz(0.0329) q[9];\ncx q[4], q[9];\ncx q[2], q[9];\nrz(0.0395) q[9];\ncx q[2], q[9];\ncx q[5], q[9];\nrz(0.0725) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(0.0165) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(0.0329) q[9];\ncx q[8], q[9];\ncx q[10], q[9];\nrz(0.0395) q[9];\ncx q[10], q[9];\ncx q[11], q[9];\nrz(0.0329) q[9];\ncx q[11], q[9];\ncx q[0], q[9];\nrz(0.0494) q[9];\ncx q[0], q[9];\ncx q[3], q[9];\nrz(0.0725) q[9];\ncx q[3], q[9];\ncx q[4], q[1];\nrz(0.0807) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(0.1614) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(0.1038) q[1];\ncx q[5], q[1];\ncx q[7], q[1];\nrz(0.0231) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(0.1845) q[1];\ncx q[8], q[1];\ncx q[10], q[1];\nrz(0.1038) q[1];\ncx q[10], q[1];\ncx q[11], q[1];\nrz(0.1153) q[1];\ncx q[11], q[1];\ncx q[0], q[1];\nrz(0.173) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(0.1845) q[1];\ncx q[3], q[1];\ncx q[9], q[1];\nrz(0.0231) q[1];\ncx q[9], q[1];\ncx q[4], q[6];\nrz(0.1153) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(0.1153) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(0.0231) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(0.0231) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(0.1153) q[6];\ncx q[8], q[6];\ncx q[10], q[6];\nrz(0.0577) q[6];\ncx q[10], q[6];\ncx q[11], q[6];\nrz(0.0922) q[6];\ncx q[11], q[6];\ncx q[0], q[6];\nrz(0.173) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0692) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(0.1268) q[6];\ncx q[1], q[6];\nrz(0.3788) q[4];\nrz(0.6292) q[2];\nrz(0.4974) q[5];\nrz(0.2718) q[7];\nrz(0.6613) q[8];\nrz(0.4447) q[10];\nrz(0.4884) q[11];\nrz(0.6498) q[0];\nrz(0.5576) q[3];\nrz(0.2059) q[9];\nrz(0.6399) q[1];\nrz(0.4554) q[6];\nh q[0];\nrz(-0.7358) q[0];\nh q[0];\nh q[1];\nrz(-0.7358) q[1];\nh q[1];\nh q[2];\nrz(-0.7358) q[2];\nh q[2];\nh q[3];\nrz(-0.7358) q[3];\nh q[3];\nh q[4];\nrz(-0.7358) q[4];\nh q[4];\nh q[5];\nrz(-0.7358) q[5];\nh q[5];\nh q[6];\nrz(-0.7358) q[6];\nh q[6];\nh q[7];\nrz(-0.7358) q[7];\nh q[7];\nh q[8];\nrz(-0.7358) q[8];\nh q[8];\nh q[9];\nrz(-0.7358) q[9];\nh q[9];\nh q[10];\nrz(-0.7358) q[10];\nh q[10];\nh q[11];\nrz(-0.7358) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[4], q[7];\nrz(x3) q[7];\ncx q[4], q[7];\ncx q[2], q[7];\nrz(x4) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x5) q[7];\ncx q[5], q[7];\ncx q[4], q[8];\nrz(x3) q[8];\ncx q[4], q[8];\ncx q[2], q[8];\nrz(x6) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(x7) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x5) q[8];\ncx q[7], q[8];\ncx q[4], q[10];\nrz(x8) q[10];\ncx q[4], q[10];\ncx q[2], q[10];\nrz(x9) q[10];\ncx q[2], q[10];\ncx q[5], q[10];\nrz(x5) q[10];\ncx q[5], q[10];\ncx q[7], q[10];\nrz(x10) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(x0) q[10];\ncx q[8], q[10];\ncx q[4], q[11];\nrz(x11) q[11];\ncx q[4], q[11];\ncx q[2], q[11];\nrz(x8) q[11];\ncx q[2], q[11];\ncx q[5], q[11];\nrz(x12) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(x10) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x2) q[11];\ncx q[8], q[11];\ncx q[10], q[11];\nrz(x11) q[11];\ncx q[10], q[11];\ncx q[4], q[0];\nrz(x13) q[0];\ncx q[4], q[0];\ncx q[2], q[0];\nrz(x4) q[0];\ncx q[2], q[0];\ncx q[5], q[0];\nrz(x14) q[0];\ncx q[5], q[0];\ncx q[7], q[0];\nrz(x4) q[0];\ncx q[7], q[0];\ncx q[8], q[0];\nrz(x15) q[0];\ncx q[8], q[0];\ncx q[10], q[0];\nrz(x0) q[0];\ncx q[10], q[0];\ncx q[11], q[0];\nrz(x8) q[0];\ncx q[11], q[0];\ncx q[4], q[3];\nrz(x3) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x16) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x7) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(x10) q[3];\ncx q[7], q[3];\ncx q[8], q[3];\nrz(x17) q[3];\ncx q[8], q[3];\ncx q[10], q[3];\nrz(x18) q[3];\ncx q[10], q[3];\ncx q[11], q[3];\nrz(x19) q[3];\ncx q[11], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[4], q[9];\nrz(x3) q[9];\ncx q[4], q[9];\ncx q[2], q[9];\nrz(x10) q[9];\ncx q[2], q[9];\ncx q[5], q[9];\nrz(x1) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(x20) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(x3) q[9];\ncx q[8], q[9];\ncx q[10], q[9];\nrz(x10) q[9];\ncx q[10], q[9];\ncx q[11], q[9];\nrz(x3) q[9];\ncx q[11], q[9];\ncx q[0], q[9];\nrz(x21) q[9];\ncx q[0], q[9];\ncx q[3], q[9];\nrz(x1) q[9];\ncx q[3], q[9];\ncx q[4], q[1];\nrz(x22) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(x23) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x24) q[1];\ncx q[5], q[1];\ncx q[7], q[1];\nrz(x25) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(x26) q[1];\ncx q[8], q[1];\ncx q[10], q[1];\nrz(x24) q[1];\ncx q[10], q[1];\ncx q[11], q[1];\nrz(x27) q[1];\ncx q[11], q[1];\ncx q[0], q[1];\nrz(x28) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x26) q[1];\ncx q[3], q[1];\ncx q[9], q[1];\nrz(x25) q[1];\ncx q[9], q[1];\ncx q[4], q[6];\nrz(x27) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(x27) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x25) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x25) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(x27) q[6];\ncx q[8], q[6];\ncx q[10], q[6];\nrz(x29) q[6];\ncx q[10], q[6];\ncx q[11], q[6];\nrz(x30) q[6];\ncx q[11], q[6];\ncx q[0], q[6];\nrz(x28) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x31) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(x32) q[6];\ncx q[1], q[6];\nrz(x33) q[4];\nrz(x34) q[2];\nrz(x35) q[5];\nrz(x36) q[7];\nrz(x37) q[8];\nrz(x38) q[10];\nrz(x39) q[11];\nrz(x40) q[0];\nrz(x41) q[3];\nrz(x42) q[9];\nrz(x43) q[1];\nrz(x44) q[6];\nh q[0];\nrz(x45) q[0];\nh q[0];\nh q[1];\nrz(x45) q[1];\nh q[1];\nh q[2];\nrz(x45) q[2];\nh q[2];\nh q[3];\nrz(x45) q[3];\nh q[3];\nh q[4];\nrz(x45) q[4];\nh q[4];\nh q[5];\nrz(x45) q[5];\nh q[5];\nh q[6];\nrz(x45) q[6];\nh q[6];\nh q[7];\nrz(x45) q[7];\nh q[7];\nh q[8];\nrz(x45) q[8];\nh q[8];\nh q[9];\nrz(x45) q[9];\nh q[9];\nh q[10];\nrz(x45) q[10];\nh q[10];\nh q[11];\nrz(x45) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["5570477335531933170","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[2, 3, 4], [0, 4], [1, 6], [0, 5]]}","{\"states\": [124, 120], \"expectation_value\": -0.25355701319836316, \"params\": [1.3962, -0.003, 1.4082000000000001, -0.0002, 1.3986, 0.0043, 1.4116, -0.398, 1.24, 0.09580000000000001, 0.9585, -0.26730000000000004, 0.7934, 0.0068000000000000005, 1.1984000000000001, 1.385, 1.0675000000000001, 0.5717, 1.1769, 0.8682000000000001], \"bitstrings\": [\"0000011\", \"0000111\"], \"total_optimization_steps\": 140, \"probabilities\": [0.12301866020824109, 0.14943996478143354], \"optimization_time\": 3.4417712688446045}","0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5)",4,7,1,"{\"smallest_eigenvalues\": [-1.8333333333333335, -1.8333333333333335], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.833333333333333, \"smallest_bitstrings\": [\"0100110\", \"0000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(1.3962) q[0];\nrz(-0.003) q[0];\nrx(1.4082) q[1];\nrz(-0.0002) q[1];\nrx(1.3986) q[2];\nrz(0.0043) q[2];\nrx(1.4116) q[3];\nrz(-0.398) q[3];\nrx(1.24) q[4];\nrz(0.0958) q[4];\nrx(0.9585) q[5];\nrz(-0.2673) q[5];\nrx(0.7934) q[6];\nrz(0.0068) q[6];\ncrx(0.8682) q[6], q[5];\ncrx(1.1769) q[5], q[4];\ncrx(0.5717) q[4], q[3];\ncrx(1.0675) q[3], q[2];\ncrx(1.385) q[2], q[1];\ncrx(1.1984) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrx(x14) q[6], q[5];\ncrx(x15) q[5], q[4];\ncrx(x16) q[4], q[3];\ncrx(x17) q[3], q[2];\ncrx(x18) q[2], q[1];\ncrx(x19) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["f4058862d2cc91e963663e2c69858d5f","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [21, 100], \"expectation_value\": -0.8844570747662577, \"params\": [[-0.076, -0.0753], [0.0712, 0.0743]], \"bitstrings\": [\"1101010\", \"0011011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.011648593829234855, 0.012110262388443595], \"optimization_time\": 3.4096908569335938}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z(3) + -0.5 * Z(4)",1,7,2,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1101010\", \"1011010\", \"0011011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(-0.076) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(-0.076) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.076) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(-0.076) q[6];\ncx q[5], q[6];\ncx q[2], q[1];\nrz(-0.076) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(-0.076) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(-0.076) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(-0.076) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.076) q[3];\ncx q[1], q[3];\ncx q[5], q[4];\nrz(-0.076) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(-0.076) q[4];\ncx q[3], q[4];\nrz(0.152) q[2];\nrz(0.152) q[0];\nrz(0.304) q[5];\nrz(0.076) q[6];\nrz(0.152) q[1];\nrz(0.228) q[3];\nrz(0.076) q[4];\nh q[0];\nrz(0.1424) q[0];\nh q[0];\nh q[1];\nrz(0.1424) q[1];\nh q[1];\nh q[2];\nrz(0.1424) q[2];\nh q[2];\nh q[3];\nrz(0.1424) q[3];\nh q[3];\nh q[4];\nrz(0.1424) q[4];\nh q[4];\nh q[5];\nrz(0.1424) q[5];\nh q[5];\nh q[6];\nrz(0.1424) q[6];\nh q[6];\ncx q[2], q[0];\nrz(-0.0753) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(-0.0753) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.0753) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(-0.0753) q[6];\ncx q[5], q[6];\ncx q[2], q[1];\nrz(-0.0753) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(-0.0753) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(-0.0753) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(-0.0753) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0753) q[3];\ncx q[1], q[3];\ncx q[5], q[4];\nrz(-0.0753) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(-0.0753) q[4];\ncx q[3], q[4];\nrz(0.1506) q[2];\nrz(0.1506) q[0];\nrz(0.3012) q[5];\nrz(0.0753) q[6];\nrz(0.1506) q[1];\nrz(0.2259) q[3];\nrz(0.0753) q[4];\nh q[0];\nrz(0.1486) q[0];\nh q[0];\nh q[1];\nrz(0.1486) q[1];\nh q[1];\nh q[2];\nrz(0.1486) q[2];\nh q[2];\nh q[3];\nrz(0.1486) q[3];\nh q[3];\nh q[4];\nrz(0.1486) q[4];\nh q[4];\nh q[5];\nrz(0.1486) q[5];\nh q[5];\nh q[6];\nrz(0.1486) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x2) q[5];\nrz(x3) q[6];\nrz(x1) q[1];\nrz(x4) q[3];\nrz(x3) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x6) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x6) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\ncx q[2], q[1];\nrz(x6) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x6) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x6) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\nrz(x7) q[2];\nrz(x7) q[0];\nrz(x8) q[5];\nrz(x9) q[6];\nrz(x7) q[1];\nrz(x10) q[3];\nrz(x9) q[4];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["641201f67815f64266ad9829d1b30894","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 9, \"target\": 10}]}","{\"states\": [0, 7], \"expectation_value\": -33.44399358250721, \"params\": [0.0024000000000000002, 0.015000000000000001, -0.0028, 0.0, -0.0025, 0.0008, -0.0025, 0.0001, -0.0026000000000000003, 0.0111, -0.0024000000000000002, 0.0, -0.0026000000000000003, 0.9118, 0.1247, 0.0039000000000000003, 0.6153000000000001, 0.0032, -1.5351000000000001, 0.0039000000000000003, 0.010400000000000001, 2.5584000000000002, -2.5041, 2.5544000000000002, 0.0031000000000000003, -2.5273000000000003, -0.0026000000000000003, 2.9828, 2.5197000000000003], \"bitstrings\": [\"1111111111\", \"1111111000\"], \"total_optimization_steps\": 350, \"probabilities\": [0.46851947888835416, 0.4820135543916658], \"optimization_time\": 11.217642545700073}","-3.5 * (Z(0) @ Z(2)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -4.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + -3.0 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -4.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 1.5 * Z(2) + -2.5 * Z(0) + -3.0 * Z(4) + -2.5 * Z(6) + 1.0 * Z(1) + -2.5 * Z(3) + 1.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9)",4,10,1,"{\"smallest_eigenvalues\": [-35.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -32.0, \"smallest_bitstrings\": [\"1111111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.0024) q[0];\nrz(0.015) q[0];\nrx(-0.0028) q[1];\nrz(0) q[1];\nrx(-0.0025) q[2];\nrz(0.0008) q[2];\nrx(-0.0025) q[3];\nrz(0.0001) q[3];\nrx(-0.0026) q[4];\nrz(0.0111) q[4];\nrx(-0.0024) q[5];\nrz(0) q[5];\nrx(-0.0026) q[6];\nrz(0.9118) q[6];\nrx(0.1247) q[7];\nrz(0.0039) q[7];\nrx(0.6153) q[8];\nrz(0.0032) q[8];\nrx(-1.5351) q[9];\nrz(0.0039) q[9];\ncrx(2.5197) q[9], q[8];\ncrx(2.9828) q[8], q[7];\ncrx(-0.0026) q[7], q[6];\ncrx(-2.5273) q[6], q[5];\ncrx(0.0031) q[5], q[4];\ncrx(2.5544) q[4], q[3];\ncrx(-2.5041) q[3], q[2];\ncrx(2.5584) q[2], q[1];\ncrx(0.0104) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x4) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x3) q[5];\nrx(x7) q[6];\nrz(x10) q[6];\nrx(x11) q[7];\nrz(x12) q[7];\nrx(x13) q[8];\nrz(x14) q[8];\nrx(x15) q[9];\nrz(x12) q[9];\ncrx(x16) q[9], q[8];\ncrx(x17) q[8], q[7];\ncrx(x7) q[7], q[6];\ncrx(x18) q[6], q[5];\ncrx(x19) q[5], q[4];\ncrx(x20) q[4], q[3];\ncrx(x21) q[3], q[2];\ncrx(x22) q[2], q[1];\ncrx(x23) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 5}","{\"circuits\": [], \"gradients\": []}"]
["95afacefd1d05ffe5f924c1452decfea","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 4}, {\"weight\": 2, \"source\": 2, \"target\": 3}, {\"weight\": 18, \"source\": 2, \"target\": 5}, {\"weight\": 14, \"source\": 3, \"target\": 8}, {\"weight\": 7, \"source\": 4, \"target\": 5}, {\"weight\": 14, \"source\": 5, \"target\": 6}, {\"weight\": 8, \"source\": 6, \"target\": 7}, {\"weight\": 12, \"source\": 7, \"target\": 8}]}","{\"states\": [76, 77], \"expectation_value\": -28.69166843936683, \"params\": [[[0.0051, 0.1574], [0.274, -0.1681], [0.6036, -0.0007], [0.32430000000000003, 0.13], [-0.0129, -0.2833], [0.6071000000000001, -0.0002], [0.602, -0.0013000000000000002], [0.19160000000000002, -0.19460000000000002], [0.5942000000000001, 0.0023]], [[0.0001, 0.35860000000000003], [0.2785, -0.1681], [0.6072000000000001, -0.0007], [0.3221, 0.1301], [-0.0122, -0.28350000000000003], [0.6015, -0.0002], [0.5979, -0.0013000000000000002], [0.1966, -0.1948], [0.5940000000000001, 0.0023]], [[0.0025, 0.0033], [0.27440000000000003, 0.008], [0.5994, 0.0007], [0.3231, 0.004], [-0.0089, 0.0027], [0.607, 0.0076], [0.5958, 0.0078000000000000005], [0.19840000000000002, 0.0094], [0.5981000000000001, 0.0012000000000000001]]], \"bitstrings\": [\"110110011\", \"110110010\"], \"total_optimization_steps\": 60, \"probabilities\": [0.05605294222246455, 0.08653443926734088], \"optimization_time\": 4.887805700302124}","5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + -6.5 * Z(1) + -10.0 * Z(0) + -4.0 * Z(3) + -1.0 * Z(2) + -7.0 * Z(4) + 1.5 * Z(5) + -2.0 * Z(6) + -4.0 * Z(7) + -6.0 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-54.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -52.0, \"smallest_bitstrings\": [\"110110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0051) q[0];\nrz(0.1574) q[0];\nrx(0.274) q[1];\nrz(-0.1681) q[1];\nrx(0.6036) q[2];\nrz(-0.0007) q[2];\nrx(0.3243) q[3];\nrz(0.13) q[3];\nrx(-0.0129) q[4];\nrz(-0.2833) q[4];\nrx(0.6071) q[5];\nrz(-0.0002) q[5];\nrx(0.602) q[6];\nrz(-0.0013) q[6];\nrx(0.1916) q[7];\nrz(-0.1946) q[7];\nrx(0.5942) q[8];\nrz(0.0023) q[8];\nrx(0.0001) q[0];\nrz(0.3586) q[0];\nrx(0.2785) q[1];\nrz(-0.1681) q[1];\nrx(0.6072) q[2];\nrz(-0.0007) q[2];\nrx(0.3221) q[3];\nrz(0.1301) q[3];\nrx(-0.0122) q[4];\nrz(-0.2835) q[4];\nrx(0.6015) q[5];\nrz(-0.0002) q[5];\nrx(0.5979) q[6];\nrz(-0.0013) q[6];\nrx(0.1966) q[7];\nrz(-0.1948) q[7];\nrx(0.594) q[8];\nrz(0.0023) q[8];\nrx(0.0025) q[0];\nrz(0.0033) q[0];\nrx(0.2744) q[1];\nrz(0.008) q[1];\nrx(0.5994) q[2];\nrz(0.0007) q[2];\nrx(0.3231) q[3];\nrz(0.004) q[3];\nrx(-0.0089) q[4];\nrz(0.0027) q[4];\nrx(0.607) q[5];\nrz(0.0076) q[5];\nrx(0.5958) q[6];\nrz(0.0078) q[6];\nrx(0.1984) q[7];\nrz(0.0094) q[7];\nrx(0.5981) q[8];\nrz(0.0012) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[0];\nrz(x19) q[0];\nrx(x20) q[1];\nrz(x3) q[1];\nrx(x21) q[2];\nrz(x5) q[2];\nrx(x22) q[3];\nrz(x23) q[3];\nrx(x24) q[4];\nrz(x25) q[4];\nrx(x26) q[5];\nrz(x11) q[5];\nrx(x27) q[6];\nrz(x13) q[6];\nrx(x28) q[7];\nrz(x29) q[7];\nrx(x30) q[8];\nrz(x17) q[8];\nrx(x31) q[0];\nrz(x32) q[0];\nrx(x33) q[1];\nrz(x34) q[1];\nrx(x35) q[2];\nrz(x36) q[2];\nrx(x37) q[3];\nrz(x38) q[3];\nrx(x39) q[4];\nrz(x40) q[4];\nrx(x41) q[5];\nrz(x42) q[5];\nrx(x43) q[6];\nrz(x44) q[6];\nrx(x45) q[7];\nrz(x46) q[7];\nrx(x47) q[8];\nrz(x48) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 9}\"}","{\"circuits\": [], \"gradients\": []}"]
["ea2e3a0d0378f3ac5c8809953eb5c8b9","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [35, 51], \"expectation_value\": -3.26810955183899, \"params\": [0.0001, -0.2863, 0.6066, -0.016800000000000002, 0.5631, 0.0081, 0.1976, 0.3487, -0.015300000000000001, 0.327, 0.5894, 0.1494, 0.6059, 0.0011, -0.0034000000000000002, -0.2868, 0.6008, -0.0816, 0.5584, 0.0511, 0.1953, 0.3805, -0.0182, 0.33340000000000003, 0.5647, 0.18560000000000001, 0.6062000000000001, -0.0023, 0.0024000000000000002, 0.0038, 0.5992000000000001, 0.0043, 0.5606, 0.0032, 0.20040000000000002, 0.0086, -0.0166, 0.0038, 0.5654, 0.0076, 0.5995, 0.0004, -0.0347, 0.0443, 0.3633, -0.3156, 0.3013, -0.0029000000000000002, -0.1447, 0.0297, 0.4041, -0.3275, 0.36150000000000004, -0.0023, 0.0094, 0.0054, 0.0017000000000000001, 0.007200000000000001, 0.001, 0.0077], \"bitstrings\": [\"1011100\", \"1001100\"], \"total_optimization_steps\": 60, \"probabilities\": [0.08902096835406227, 0.11236955966409082], \"optimization_time\": 7.838522672653198}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(3)",3,7,3,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0001) q[0];\nrz(-0.2863) q[0];\nrx(0.6066) q[1];\nrz(-0.0168) q[1];\nrx(0.5631) q[2];\nrz(0.0081) q[2];\nrx(0.1976) q[3];\nrz(0.3487) q[3];\nrx(-0.0153) q[4];\nrz(0.327) q[4];\nrx(0.5894) q[5];\nrz(0.1494) q[5];\nrx(0.6059) q[6];\nrz(0.0011) q[6];\ncrz(-0.0029) q[6], q[5];\ncrz(0.3013) q[5], q[4];\ncrz(-0.3156) q[4], q[3];\ncrz(0.3633) q[3], q[2];\ncrz(0.0443) q[2], q[1];\ncrz(-0.0347) q[1], q[0];\nrx(-0.0034) q[0];\nrz(-0.2868) q[0];\nrx(0.6008) q[1];\nrz(-0.0816) q[1];\nrx(0.5584) q[2];\nrz(0.0511) q[2];\nrx(0.1953) q[3];\nrz(0.3805) q[3];\nrx(-0.0182) q[4];\nrz(0.3334) q[4];\nrx(0.5647) q[5];\nrz(0.1856) q[5];\nrx(0.6062) q[6];\nrz(-0.0023) q[6];\ncrz(-0.0023) q[6], q[5];\ncrz(0.3615) q[5], q[4];\ncrz(-0.3275) q[4], q[3];\ncrz(0.4041) q[3], q[2];\ncrz(0.0297) q[2], q[1];\ncrz(-0.1447) q[1], q[0];\nrx(0.0024) q[0];\nrz(0.0038) q[0];\nrx(0.5992) q[1];\nrz(0.0043) q[1];\nrx(0.5606) q[2];\nrz(0.0032) q[2];\nrx(0.2004) q[3];\nrz(0.0086) q[3];\nrx(-0.0166) q[4];\nrz(0.0038) q[4];\nrx(0.5654) q[5];\nrz(0.0076) q[5];\nrx(0.5995) q[6];\nrz(0.0004) q[6];\ncrz(0.0077) q[6], q[5];\ncrz(0.001) q[5], q[4];\ncrz(0.0072) q[4], q[3];\ncrz(0.0017) q[3], q[2];\ncrz(0.0054) q[2], q[1];\ncrz(0.0094) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[6], q[5];\ncrz(x15) q[5], q[4];\ncrz(x16) q[4], q[3];\ncrz(x17) q[3], q[2];\ncrz(x18) q[2], q[1];\ncrz(x19) q[1], q[0];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\ncrz(x33) q[6], q[5];\ncrz(x34) q[5], q[4];\ncrz(x35) q[4], q[3];\ncrz(x36) q[3], q[2];\ncrz(x37) q[2], q[1];\ncrz(x38) q[1], q[0];\nrx(x39) q[0];\nrz(x40) q[0];\nrx(x41) q[1];\nrz(x42) q[1];\nrx(x43) q[2];\nrz(x44) q[2];\nrx(x45) q[3];\nrz(x46) q[3];\nrx(x47) q[4];\nrz(x40) q[4];\nrx(x48) q[5];\nrz(x49) q[5];\nrx(x50) q[6];\nrz(x51) q[6];\ncrz(x52) q[6], q[5];\ncrz(x53) q[5], q[4];\ncrz(x54) q[4], q[3];\ncrz(x55) q[3], q[2];\ncrz(x56) q[2], q[1];\ncrz(x57) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["6d7e5c7b3f86be8f7eca13c50e6c3de8","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [88, 112], \"expectation_value\": -0.16404261271517212, \"params\": [[-0.053000000000000005], [0.06760000000000001]], \"bitstrings\": [\"0100111\", \"0001111\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00843718135775874, 0.00843718135775874], \"optimization_time\": 2.289997100830078}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(2) + 0.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"0001111\", \"0011110\", \"0111100\", \"0100111\", \"0101101\", \"0110110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(-0.053) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(-0.053) q[1];\ncx q[4], q[1];\ncx q[4], q[3];\nrz(-0.053) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(-0.053) q[3];\ncx q[1], q[3];\ncx q[4], q[5];\nrz(-0.053) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(-0.053) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(-0.053) q[5];\ncx q[3], q[5];\ncx q[4], q[2];\nrz(-0.053) q[2];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(-0.053) q[6];\ncx q[2], q[6];\nrz(0.212) q[4];\nrz(0) q[0];\nrz(0.106) q[1];\nrz(0.106) q[3];\nrz(0.106) q[5];\nrz(0.053) q[2];\nrz(0) q[6];\nh q[0];\nrz(0.1352) q[0];\nh q[0];\nh q[1];\nrz(0.1352) q[1];\nh q[1];\nh q[2];\nrz(0.1352) q[2];\nh q[2];\nh q[3];\nrz(0.1352) q[3];\nh q[3];\nh q[4];\nrz(0.1352) q[4];\nh q[4];\nh q[5];\nrz(0.1352) q[5];\nh q[5];\nh q[6];\nrz(0.1352) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\nrz(x1) q[4];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x3) q[3];\nrz(x3) q[5];\nrz(x4) q[2];\nrz(x2) q[6];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["0af33a976ec1c381deaa423c18839faf","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}]}","{\"states\": [87, 71], \"expectation_value\": -2.2522238718950023, \"params\": [0.6035, 0.0022, 0.5032, -0.0482, 0.5224, -0.035, -0.0041, 0.3487, 0.6043000000000001, 0.114, 0.5406000000000001, -0.006, 0.5494, -0.0088, 0.6105, 0.0022, 0.5031, -0.048400000000000006, 0.5163, -0.0349, -0.0058000000000000005, 0.34650000000000003, 0.6099, 0.13820000000000002, 0.5381, -0.0051, 0.5459, -0.009300000000000001, 0.6077, 0.005, 0.507, 0.009000000000000001, 0.5199, 0.0056, -0.0049, 0.0063, 0.611, 0.0083, 0.5375, 0.001, 0.5494, 0.0039000000000000003, 0.0164, 0.0206, -0.3145, 0.23800000000000002, -0.005200000000000001, 0.0081, 0.0044, -0.0329, -0.14780000000000001, 0.2882, -0.0044, 0.0038, 0.001, 0.004200000000000001, 0.0073, 0.0027, 0.0031000000000000003, 0.0031000000000000003], \"bitstrings\": [\"0101000\", \"0111000\"], \"total_optimization_steps\": 60, \"probabilities\": [0.02865715489375318, 0.02938769920331094], \"optimization_time\": 7.335983753204346}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4)",3,7,3,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"0001011\", \"0101010\", \"0111000\", \"0011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.6035) q[0];\nrz(0.0022) q[0];\nrx(0.5032) q[1];\nrz(-0.0482) q[1];\nrx(0.5224) q[2];\nrz(-0.035) q[2];\nrx(-0.0041) q[3];\nrz(0.3487) q[3];\nrx(0.6043) q[4];\nrz(0.114) q[4];\nrx(0.5406) q[5];\nrz(-0.006) q[5];\nrx(0.5494) q[6];\nrz(-0.0088) q[6];\ncrz(0.0081) q[6], q[5];\ncrz(-0.0052) q[5], q[4];\ncrz(0.238) q[4], q[3];\ncrz(-0.3145) q[3], q[2];\ncrz(0.0206) q[2], q[1];\ncrz(0.0164) q[1], q[0];\nrx(0.6105) q[0];\nrz(0.0022) q[0];\nrx(0.5031) q[1];\nrz(-0.0484) q[1];\nrx(0.5163) q[2];\nrz(-0.0349) q[2];\nrx(-0.0058) q[3];\nrz(0.3465) q[3];\nrx(0.6099) q[4];\nrz(0.1382) q[4];\nrx(0.5381) q[5];\nrz(-0.0051) q[5];\nrx(0.5459) q[6];\nrz(-0.0093) q[6];\ncrz(0.0038) q[6], q[5];\ncrz(-0.0044) q[5], q[4];\ncrz(0.2882) q[4], q[3];\ncrz(-0.1478) q[3], q[2];\ncrz(-0.0329) q[2], q[1];\ncrz(0.0044) q[1], q[0];\nrx(0.6077) q[0];\nrz(0.005) q[0];\nrx(0.507) q[1];\nrz(0.009) q[1];\nrx(0.5199) q[2];\nrz(0.0056) q[2];\nrx(-0.0049) q[3];\nrz(0.0063) q[3];\nrx(0.611) q[4];\nrz(0.0083) q[4];\nrx(0.5375) q[5];\nrz(0.001) q[5];\nrx(0.5494) q[6];\nrz(0.0039) q[6];\ncrz(0.0031) q[6], q[5];\ncrz(0.0031) q[5], q[4];\ncrz(0.0027) q[4], q[3];\ncrz(0.0073) q[3], q[2];\ncrz(0.0042) q[2], q[1];\ncrz(0.001) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[6], q[5];\ncrz(x15) q[5], q[4];\ncrz(x16) q[4], q[3];\ncrz(x17) q[3], q[2];\ncrz(x18) q[2], q[1];\ncrz(x19) q[1], q[0];\nrx(x20) q[0];\nrz(x1) q[0];\nrx(x21) q[1];\nrz(x22) q[1];\nrx(x23) q[2];\nrz(x24) q[2];\nrx(x25) q[3];\nrz(x26) q[3];\nrx(x27) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x30) q[5];\nrx(x31) q[6];\nrz(x32) q[6];\ncrz(x33) q[6], q[5];\ncrz(x34) q[5], q[4];\ncrz(x35) q[4], q[3];\ncrz(x36) q[3], q[2];\ncrz(x37) q[2], q[1];\ncrz(x38) q[1], q[0];\nrx(x39) q[0];\nrz(x40) q[0];\nrx(x41) q[1];\nrz(x42) q[1];\nrx(x43) q[2];\nrz(x44) q[2];\nrx(x45) q[3];\nrz(x46) q[3];\nrx(x47) q[4];\nrz(x48) q[4];\nrx(x49) q[5];\nrz(x50) q[5];\nrx(x12) q[6];\nrz(x51) q[6];\ncrz(x52) q[6], q[5];\ncrz(x52) q[5], q[4];\ncrz(x53) q[4], q[3];\ncrz(x54) q[3], q[2];\ncrz(x55) q[2], q[1];\ncrz(x50) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["c294aee751abb3da4231aed3acad4926","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [127, 15], \"expectation_value\": -14.574489558091381, \"params\": [[[0.0024000000000000002, 0.0018000000000000002], [0.0024000000000000002, 0.0002], [-1.6207, 0.0], [0.0023, 0.0027], [0.0024000000000000002, 0.009600000000000001], [0.0024000000000000002, 0.0058000000000000005], [3.1578, 0.0057]]], \"bitstrings\": [\"0000000\", \"1110000\"], \"total_optimization_steps\": 320, \"probabilities\": [0.47502662437247717, 0.5249009711216552], \"optimization_time\": 5.60367751121521}","-2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + 1.0 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6)",2,7,1,"{\"smallest_eigenvalues\": [-16.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.0, \"smallest_bitstrings\": [\"1110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0024) q[0];\nrz(0.0018) q[0];\nrx(0.0024) q[1];\nrz(0.0002) q[1];\nrx(-1.6207) q[2];\nrz(0) q[2];\nrx(0.0023) q[3];\nrz(0.0027) q[3];\nrx(0.0024) q[4];\nrz(0.0096) q[4];\nrx(0.0024) q[5];\nrz(0.0058) q[5];\nrx(3.1578) q[6];\nrz(0.0057) q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x0) q[1];\nrz(x2) q[1];\nrx(x3) q[2];\nrz(x4) q[2];\nrx(x5) q[3];\nrz(x6) q[3];\nrx(x0) q[4];\nrz(x7) q[4];\nrx(x0) q[5];\nrz(x8) q[5];\nrx(x9) q[6];\nrz(x10) q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"node\": 0}","{\"circuits\": [], \"gradients\": []}"]
["43f346f2449aaad74bd3d1617b2cab32","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [13, 22], \"expectation_value\": -0.4525526782155857, \"params\": [[0.0766, 0.08170000000000001], [-0.06670000000000001, -0.0805]], \"bitstrings\": [\"110010\", \"101001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.022756274119982045, 0.02275627411998206], \"optimization_time\": 3.689281463623047}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5)",1,6,2,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"101001\", \"110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.0766) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0766) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.0766) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.0766) q[4];\ncx q[0], q[4];\ncx q[2], q[1];\nrz(0.0766) q[1];\ncx q[2], q[1];\ncx q[4], q[5];\nrz(0.0766) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(0.0766) q[5];\ncx q[1], q[5];\nrz(-0.1532) q[2];\nrz(-0.1532) q[0];\nrz(0) q[3];\nrz(-0.1532) q[4];\nrz(-0.0766) q[1];\nrz(-0.0766) q[5];\nh q[0];\nrz(-0.1334) q[0];\nh q[0];\nh q[1];\nrz(-0.1334) q[1];\nh q[1];\nh q[2];\nrz(-0.1334) q[2];\nh q[2];\nh q[3];\nrz(-0.1334) q[3];\nh q[3];\nh q[4];\nrz(-0.1334) q[4];\nh q[4];\nh q[5];\nrz(-0.1334) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0817) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0817) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.0817) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.0817) q[4];\ncx q[0], q[4];\ncx q[2], q[1];\nrz(0.0817) q[1];\ncx q[2], q[1];\ncx q[4], q[5];\nrz(0.0817) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(0.0817) q[5];\ncx q[1], q[5];\nrz(-0.1634) q[2];\nrz(-0.1634) q[0];\nrz(0) q[3];\nrz(-0.1634) q[4];\nrz(-0.0817) q[1];\nrz(-0.0817) q[5];\nh q[0];\nrz(-0.161) q[0];\nh q[0];\nh q[1];\nrz(-0.161) q[1];\nh q[1];\nh q[2];\nrz(-0.161) q[2];\nh q[2];\nh q[3];\nrz(-0.161) q[3];\nh q[3];\nh q[4];\nrz(-0.161) q[4];\nh q[4];\nh q[5];\nrz(-0.161) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x1) q[4];\nrz(x3) q[1];\nrz(x3) q[5];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x5) q[4];\ncx q[0], q[4];\ncx q[2], q[1];\nrz(x5) q[1];\ncx q[2], q[1];\ncx q[4], q[5];\nrz(x5) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x5) q[5];\ncx q[1], q[5];\nrz(x6) q[2];\nrz(x6) q[0];\nrz(x2) q[3];\nrz(x6) q[4];\nrz(x7) q[1];\nrz(x7) q[5];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["c93c716f35031a09dd851ff3225d4cd1","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 9}, {\"capacity\": 1, \"source\": 0, \"target\": 11}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 11}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 10}, {\"capacity\": 2, \"source\": 3, \"target\": 11}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 9}, {\"capacity\": 2, \"source\": 4, \"target\": 11}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 9}, {\"capacity\": 2, \"source\": 5, \"target\": 10}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 7, \"target\": 2}, {\"capacity\": 2, \"source\": 7, \"target\": 3}, {\"capacity\": 1, \"source\": 7, \"target\": 5}, {\"capacity\": 2, \"source\": 7, \"target\": 10}, {\"capacity\": 2, \"source\": 8, \"target\": 4}, {\"capacity\": 1, \"source\": 8, \"target\": 5}, {\"capacity\": 2, \"source\": 8, \"target\": 7}, {\"capacity\": 1, \"source\": 8, \"target\": 9}, {\"capacity\": 1, \"source\": 9, \"target\": 4}, {\"capacity\": 1, \"source\": 9, \"target\": 6}, {\"capacity\": 1, \"source\": 10, \"target\": 1}, {\"capacity\": 1, \"source\": 10, \"target\": 7}, {\"capacity\": 1, \"source\": 10, \"target\": 8}, {\"capacity\": 1, \"source\": 10, \"target\": 9}]}","{\"states\": [2048, 2047], \"expectation_value\": -13.887490006020045, \"params\": [[[-0.0034000000000000002, -0.0032], [-0.003, 0.7226], [-0.0028, 0.0031000000000000003], [-0.0027, 0.0024000000000000002], [-0.003, 0.0029000000000000002], [-0.0024000000000000002, 0.002], [-0.0024000000000000002, -0.002], [-0.0024000000000000002, -0.0026000000000000003], [-0.0025, -0.0028], [-0.0027, -0.0027], [-1.1074000000000002, -0.0041], [-0.5009, -0.0018000000000000002]], [[0.011000000000000001, -0.8001], [-0.0018000000000000002, -0.0064], [-0.0031000000000000003, -0.0028], [-0.0035, -0.0031000000000000003], [-0.0033, -0.0032], [-0.0023, -0.0033], [-0.0028, -0.003], [-0.0027, -0.003], [-0.0034000000000000002, -0.003], [-0.0029000000000000002, -0.0029000000000000002], [-0.002, -0.38270000000000004], [-1.1338000000000001, -0.006900000000000001]], [[-0.5331, 1.2289], [-0.0018000000000000002, 0.30060000000000003], [-0.0031000000000000003, -0.003], [-0.0034000000000000002, -0.0023], [-0.0033, -0.0028], [-0.0025, -0.002], [-0.0027, 0.002], [-0.0026000000000000003, 0.0026000000000000003], [-0.0034000000000000002, 0.0027], [-0.0027, 0.0025], [0.6411, -0.0021000000000000003], [0.0017000000000000001, 0.0033]]], \"bitstrings\": [\"011111111111\", \"100000000000\"], \"total_optimization_steps\": 130, \"probabilities\": [0.26475909410666315, 0.3905833181014527], \"optimization_time\": 20.625914096832275}","-0.25 * (Z(0) @ Z(11)) + 0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(11)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(8) @ Z(11)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(7)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(9)) + -0.25 * (Z(10) @ Z(11)) + -0.25 * (Z(10) @ Z(7)) + -0.5 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(8)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(6) @ Z(11)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(11)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(9)) + -0.25 * (Z(2) @ Z(10)) + -0.25 * (Z(2) @ Z(5)) + -1.0 * Z(11) + -0.25 * Z(0) + -1.0 * Z(3) + -0.25 * Z(1) + 0.25 * Z(7) + 0.0 * Z(8) + 0.0 * Z(9) + 0.75 * Z(4) + 0.75 * Z(10) + 1.0 * Z(5) + 0.0 * Z(6) + -0.25 * Z(2)",15,12,3,"{\"smallest_eigenvalues\": [-14.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.5, \"smallest_bitstrings\": [\"100000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.0034) q[0];\nry(-0.003) q[1];\nry(-0.0028) q[2];\nry(-0.0027) q[3];\nry(-0.003) q[4];\nry(-0.0024) q[5];\nry(-0.0024) q[6];\nry(-0.0024) q[7];\nry(-0.0025) q[8];\nry(-0.0027) q[9];\nry(-1.1074) q[10];\nry(-0.5009) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0032) q[0];\nry(0.7226) q[1];\nry(0.0031) q[2];\nry(0.0024) q[3];\nry(0.0029) q[4];\nry(0.002) q[5];\nry(-0.002) q[6];\nry(-0.0026) q[7];\nry(-0.0028) q[8];\nry(-0.0027) q[9];\nry(-0.0041) q[10];\nry(-0.0018) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(0.011) q[0];\nry(-0.0018) q[1];\nry(-0.0031) q[2];\nry(-0.0035) q[3];\nry(-0.0033) q[4];\nry(-0.0023) q[5];\nry(-0.0028) q[6];\nry(-0.0027) q[7];\nry(-0.0034) q[8];\nry(-0.0029) q[9];\nry(-0.002) q[10];\nry(-1.1338) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.8001) q[0];\nry(-0.0064) q[1];\nry(-0.0028) q[2];\nry(-0.0031) q[3];\nry(-0.0032) q[4];\nry(-0.0033) q[5];\nry(-0.003) q[6];\nry(-0.003) q[7];\nry(-0.003) q[8];\nry(-0.0029) q[9];\nry(-0.3827) q[10];\nry(-0.0069) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.5331) q[0];\nry(-0.0018) q[1];\nry(-0.0031) q[2];\nry(-0.0034) q[3];\nry(-0.0033) q[4];\nry(-0.0025) q[5];\nry(-0.0027) q[6];\nry(-0.0026) q[7];\nry(-0.0034) q[8];\nry(-0.0027) q[9];\nry(0.6411) q[10];\nry(0.0017) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.2289) q[0];\nry(0.3006) q[1];\nry(-0.003) q[2];\nry(-0.0023) q[3];\nry(-0.0028) q[4];\nry(-0.002) q[5];\nry(0.002) q[6];\nry(0.0026) q[7];\nry(0.0027) q[8];\nry(0.0025) q[9];\nry(-0.0021) q[10];\nry(0.0033) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x1) q[4];\nry(x4) q[5];\nry(x4) q[6];\nry(x4) q[7];\nry(x5) q[8];\nry(x3) q[9];\nry(x6) q[10];\nry(x7) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\nry(x2) q[8];\nry(x3) q[9];\nry(x16) q[10];\nry(x17) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x18) q[0];\nry(x17) q[1];\nry(x19) q[2];\nry(x20) q[3];\nry(x21) q[4];\nry(x22) q[5];\nry(x2) q[6];\nry(x3) q[7];\nry(x0) q[8];\nry(x23) q[9];\nry(x14) q[10];\nry(x24) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x25) q[0];\nry(x26) q[1];\nry(x2) q[2];\nry(x19) q[3];\nry(x8) q[4];\nry(x21) q[5];\nry(x1) q[6];\nry(x1) q[7];\nry(x1) q[8];\nry(x23) q[9];\nry(x27) q[10];\nry(x28) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x29) q[0];\nry(x17) q[1];\nry(x19) q[2];\nry(x0) q[3];\nry(x21) q[4];\nry(x5) q[5];\nry(x3) q[6];\nry(x15) q[7];\nry(x0) q[8];\nry(x3) q[9];\nry(x30) q[10];\nry(x31) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x32) q[0];\nry(x33) q[1];\nry(x1) q[2];\nry(x22) q[3];\nry(x2) q[4];\nry(x14) q[5];\nry(x13) q[6];\nry(x34) q[7];\nry(x35) q[8];\nry(x36) q[9];\nry(x37) q[10];\nry(x38) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["e6f5f7344f65c4a1f156bb9648ed863a","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [78, 77], \"expectation_value\": -5.499144858283865, \"params\": null, \"bitstrings\": [\"0110001\", \"0110010\"], \"total_optimization_steps\": 34, \"probabilities\": [0.06552908063229994, 0.9338662614322454], \"optimization_time\": 41.59396171569824}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(4) + -0.5 * Z(6)",1,7,4,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0110010\", \"0110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nry(-1.5708) q[2];\nry(1.4449) q[4];\nry(1.4449) q[3];\nry(1.4449) q[0];\ncry(-1.0342) q[6], q[5];\nry(0.7003) q[6];\nry(-0.4549) q[5];\ncry(0.4963) q[4], q[6];\ncry(-0.3789) q[4], q[5];\ncry(0.2489) q[3], q[6];\ncry(-0.1488) q[3], q[5];\ncry(0.1187) q[4], q[0];\ncry(0.1181) q[0], q[3];\ncry(0.1157) q[3], q[4];\ncry(0.0866) q[0], q[6];\ncry(-0.0495) q[0], q[5];\ncry(0.0072) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":19807,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\nry(1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[0];\\ncry(-1.0342) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[0];\\ncry(-1.0342) q[6], q[5];\\nry(0.7003) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[0];\\ncry(-1.0342) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[0];\\ncry(-1.0342) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[0];\\ncry(-1.0342) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.57"}}]
["f20b14ccaf46fd91ed39b9c05edbe906","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}]}","{\"states\": [9, 6], \"expectation_value\": -4.5809074924895645, \"params\": [[-0.0687, -0.0509, -0.0366, -0.026600000000000002], [0.0796, 0.076, 0.0719, 0.0663]], \"bitstrings\": [\"10110\", \"11001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.07925181824535946, 0.07925181824535948], \"optimization_time\": 4.365922451019287}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4)",10,5,4,"{\"smallest_eigenvalues\": [-7.25, -7.25, -7.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -6.25, \"smallest_bitstrings\": [\"11100\", \"11001\", \"10110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(-0.2404) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2404) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2404) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2748) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2404) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2404) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.2404) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.2404) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2748) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2748) q[4];\ncx q[3], q[4];\nrz(0.3778) q[1];\nrz(0.4122) q[0];\nrz(0.3778) q[2];\nrz(0.3435) q[3];\nrz(0.3435) q[4];\nh q[0];\nrz(0.1592) q[0];\nh q[0];\nh q[1];\nrz(0.1592) q[1];\nh q[1];\nh q[2];\nrz(0.1592) q[2];\nh q[2];\nh q[3];\nrz(0.1592) q[3];\nh q[3];\nh q[4];\nrz(0.1592) q[4];\nh q[4];\ncx q[1], q[0];\nrz(-0.1782) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1782) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1782) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2036) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1782) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1782) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.1782) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1782) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2036) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2036) q[4];\ncx q[3], q[4];\nrz(0.28) q[1];\nrz(0.3054) q[0];\nrz(0.28) q[2];\nrz(0.2545) q[3];\nrz(0.2545) q[4];\nh q[0];\nrz(0.152) q[0];\nh q[0];\nh q[1];\nrz(0.152) q[1];\nh q[1];\nh q[2];\nrz(0.152) q[2];\nh q[2];\nh q[3];\nrz(0.152) q[3];\nh q[3];\nh q[4];\nrz(0.152) q[4];\nh q[4];\ncx q[1], q[0];\nrz(-0.1281) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1281) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1281) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1464) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1281) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1281) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.1281) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1281) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1464) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.1464) q[4];\ncx q[3], q[4];\nrz(0.2013) q[1];\nrz(0.2196) q[0];\nrz(0.2013) q[2];\nrz(0.183) q[3];\nrz(0.183) q[4];\nh q[0];\nrz(0.1438) q[0];\nh q[0];\nh q[1];\nrz(0.1438) q[1];\nh q[1];\nh q[2];\nrz(0.1438) q[2];\nh q[2];\nh q[3];\nrz(0.1438) q[3];\nh q[3];\nh q[4];\nrz(0.1438) q[4];\nh q[4];\ncx q[1], q[0];\nrz(-0.0931) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0931) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0931) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1064) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0931) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0931) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0931) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0931) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1064) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.1064) q[4];\ncx q[3], q[4];\nrz(0.1463) q[1];\nrz(0.1596) q[0];\nrz(0.1463) q[2];\nrz(0.133) q[3];\nrz(0.133) q[4];\nh q[0];\nrz(0.1326) q[0];\nh q[0];\nh q[1];\nrz(0.1326) q[1];\nh q[1];\nh q[2];\nrz(0.1326) q[2];\nh q[2];\nh q[3];\nrz(0.1326) q[3];\nh q[3];\nh q[4];\nrz(0.1326) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x4) q[3];\nrz(x4) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x7) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\nrz(x8) q[1];\nrz(x9) q[0];\nrz(x8) q[2];\nrz(x10) q[3];\nrz(x10) q[4];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x12) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x12) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x13) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x12) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x12) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x12) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x12) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x13) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x13) q[4];\ncx q[3], q[4];\nrz(x14) q[1];\nrz(x15) q[0];\nrz(x14) q[2];\nrz(x16) q[3];\nrz(x16) q[4];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x18) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x18) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x19) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x18) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x18) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x18) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x18) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x19) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x19) q[4];\ncx q[3], q[4];\nrz(x20) q[1];\nrz(x21) q[0];\nrz(x20) q[2];\nrz(x22) q[3];\nrz(x22) q[4];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["e4f5057259aaeddd1dd7f4f1ea49da8b","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 6, \"target\": 4}]}","{\"states\": [65, 1], \"expectation_value\": -2.6843965897447846, \"params\": [[0.0352, -0.0014, -0.0451, -0.0751], [-0.0524, -0.0494, -0.0019, 0.06430000000000001]], \"bitstrings\": [\"10111110\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008810546844648449, 0.009222362747654443], \"optimization_time\": 5.768143653869629}","-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25 * Z(6) + 0.75 * Z(1) + -0.5 * Z(2) + 3.5 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-19.5, -19.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -17.5, \"smallest_bitstrings\": [\"11111110\", \"10111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(-0.088) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.1056) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.088) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0176) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.0352) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0704) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(-0.0528) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(-0.1056) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0704) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(-0.0528) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(0.2992) q[7];\ncx q[0], q[7];\nrz(0.1056) q[3];\nrz(-0.0176) q[0];\nrz(-0.2288) q[4];\nrz(-0.1056) q[5];\nrz(-0.0176) q[6];\nrz(0.0528) q[1];\nrz(-0.0352) q[2];\nrz(0.2464) q[7];\nh q[0];\nrz(-0.1048) q[0];\nh q[0];\nh q[1];\nrz(-0.1048) q[1];\nh q[1];\nh q[2];\nrz(-0.1048) q[2];\nh q[2];\nh q[3];\nrz(-0.1048) q[3];\nh q[3];\nh q[4];\nrz(-0.1048) q[4];\nh q[4];\nh q[5];\nrz(-0.1048) q[5];\nh q[5];\nh q[6];\nrz(-0.1048) q[6];\nh q[6];\nh q[7];\nrz(-0.1048) q[7];\nh q[7];\ncx q[3], q[0];\nrz(0.0035) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.0042) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(0.0035) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.0007) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0014) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0028) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(0.0021) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(0.0042) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0028) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(0.0021) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(-0.0119) q[7];\ncx q[0], q[7];\nrz(-0.0042) q[3];\nrz(0.0007) q[0];\nrz(0.0091) q[4];\nrz(0.0042) q[5];\nrz(0.0007) q[6];\nrz(-0.0021) q[1];\nrz(0.0014) q[2];\nrz(-0.0098) q[7];\nh q[0];\nrz(-0.0988) q[0];\nh q[0];\nh q[1];\nrz(-0.0988) q[1];\nh q[1];\nh q[2];\nrz(-0.0988) q[2];\nh q[2];\nh q[3];\nrz(-0.0988) q[3];\nh q[3];\nh q[4];\nrz(-0.0988) q[4];\nh q[4];\nh q[5];\nrz(-0.0988) q[5];\nh q[5];\nh q[6];\nrz(-0.0988) q[6];\nh q[6];\nh q[7];\nrz(-0.0988) q[7];\nh q[7];\ncx q[3], q[0];\nrz(0.1128) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.1353) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(0.1128) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.0226) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0451) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0902) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(0.0677) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(0.1353) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0902) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(0.0677) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(-0.3834) q[7];\ncx q[0], q[7];\nrz(-0.1353) q[3];\nrz(0.0226) q[0];\nrz(0.2932) q[4];\nrz(0.1353) q[5];\nrz(0.0226) q[6];\nrz(-0.0677) q[1];\nrz(0.0451) q[2];\nrz(-0.3157) q[7];\nh q[0];\nrz(-0.0038) q[0];\nh q[0];\nh q[1];\nrz(-0.0038) q[1];\nh q[1];\nh q[2];\nrz(-0.0038) q[2];\nh q[2];\nh q[3];\nrz(-0.0038) q[3];\nh q[3];\nh q[4];\nrz(-0.0038) q[4];\nh q[4];\nh q[5];\nrz(-0.0038) q[5];\nh q[5];\nh q[6];\nrz(-0.0038) q[6];\nh q[6];\nh q[7];\nrz(-0.0038) q[7];\nh q[7];\ncx q[3], q[0];\nrz(0.1878) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(0.2253) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(0.1878) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.0376) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0751) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.1502) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(0.1127) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(0.2253) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.1502) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(0.1127) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(-0.6383) q[7];\ncx q[0], q[7];\nrz(-0.2253) q[3];\nrz(0.0376) q[0];\nrz(0.4881) q[4];\nrz(0.2253) q[5];\nrz(0.0376) q[6];\nrz(-0.1127) q[1];\nrz(0.0751) q[2];\nrz(-0.5257) q[7];\nh q[0];\nrz(0.1286) q[0];\nh q[0];\nh q[1];\nrz(0.1286) q[1];\nh q[1];\nh q[2];\nrz(0.1286) q[2];\nh q[2];\nh q[3];\nrz(0.1286) q[3];\nh q[3];\nh q[4];\nrz(0.1286) q[4];\nh q[4];\nh q[5];\nrz(0.1286) q[5];\nh q[5];\nh q[6];\nrz(0.1286) q[6];\nh q[6];\nh q[7];\nrz(0.1286) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x4) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(x5) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x4) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(x5) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(x6) q[7];\ncx q[0], q[7];\nrz(x7) q[3];\nrz(x2) q[0];\nrz(x8) q[4];\nrz(x1) q[5];\nrz(x2) q[6];\nrz(x9) q[1];\nrz(x3) q[2];\nrz(x10) q[7];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x12) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x13) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x12) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x14) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x15) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x16) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(x17) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x13) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x16) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(x17) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(x18) q[7];\ncx q[0], q[7];\nrz(x19) q[3];\nrz(x14) q[0];\nrz(x20) q[4];\nrz(x13) q[5];\nrz(x14) q[6];\nrz(x21) q[1];\nrz(x15) q[2];\nrz(x22) q[7];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x24) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x25) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x24) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x26) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x27) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x28) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(x29) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x25) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x28) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(x29) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(x30) q[7];\ncx q[0], q[7];\nrz(x31) q[3];\nrz(x26) q[0];\nrz(x32) q[4];\nrz(x25) q[5];\nrz(x26) q[6];\nrz(x33) q[1];\nrz(x27) q[2];\nrz(x34) q[7];\nh q[0];\nrz(x35) q[0];\nh q[0];\nh q[1];\nrz(x35) q[1];\nh q[1];\nh q[2];\nrz(x35) q[2];\nh q[2];\nh q[3];\nrz(x35) q[3];\nh q[3];\nh q[4];\nrz(x35) q[4];\nh q[4];\nh q[5];\nrz(x35) q[5];\nh q[5];\nh q[6];\nrz(x35) q[6];\nh q[6];\nh q[7];\nrz(x35) q[7];\nh q[7];\ncx q[3], q[0];\nrz(x36) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x37) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x36) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x38) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x39) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x40) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(x41) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x37) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x40) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(x41) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(x42) q[7];\ncx q[0], q[7];\nrz(x43) q[3];\nrz(x38) q[0];\nrz(x44) q[4];\nrz(x37) q[5];\nrz(x38) q[6];\nrz(x45) q[1];\nrz(x39) q[2];\nrz(x46) q[7];\nh q[0];\nrz(x47) q[0];\nh q[0];\nh q[1];\nrz(x47) q[1];\nh q[1];\nh q[2];\nrz(x47) q[2];\nh q[2];\nh q[3];\nrz(x47) q[3];\nh q[3];\nh q[4];\nrz(x47) q[4];\nh q[4];\nh q[5];\nrz(x47) q[5];\nh q[5];\nh q[6];\nrz(x47) q[6];\nh q[6];\nh q[7];\nrz(x47) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["6d1a9a1cda08ec4eaf9d390307f681d3","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 8}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 8}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 3, \"source\": 5, \"target\": 4}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 8}, {\"capacity\": 1, \"source\": 6, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 7}, {\"capacity\": 3, \"source\": 7, \"target\": 6}, {\"capacity\": 2, \"source\": 7, \"target\": 8}]}","{\"states\": [256, 255], \"expectation_value\": -8.142137109596879, \"params\": [[[-0.0137, -0.0011], [-0.0009000000000000001, -0.1143], [0.0009000000000000001, -0.0023], [0.0018000000000000002, -0.0032], [0.0005, -0.003], [-0.0049, -0.0029000000000000002], [-0.00030000000000000003, 0.0025], [-1.4017000000000002, -0.0025], [-0.32930000000000004, -0.0039000000000000003]], [[-0.0189, -0.5097], [-0.0059, -0.0024000000000000002], [-0.0057, -0.0032], [-0.0076, -0.0033], [-0.0057, -0.0034000000000000002], [0.0005, -0.0033], [-0.0058000000000000005, -0.003], [-0.0013000000000000002, -0.35960000000000003], [-1.3749, 0.0054]], [[0.454, -1.3171000000000002], [-0.0011, -0.2492], [-0.0024000000000000002, 0.003], [-0.0038, 0.0031000000000000003], [-0.0028, 0.0028], [-0.0025, 0.0028], [-0.002, -0.0024000000000000002], [-0.3766, -0.0008], [-0.006200000000000001, -0.0016]]], \"bitstrings\": [\"011111111\", \"100000000\"], \"total_optimization_steps\": 150, \"probabilities\": [0.35995352679021453, 0.3936465818307026], \"optimization_time\": 16.794941902160645}","-0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(8)) + -1.5 * (Z(5) @ Z(4)) + -1.25 * Z(6) + -0.25 * Z(0) + 0.25 * Z(7) + 0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(8) + 1.0 * Z(2) + -0.5 * Z(4) + 1.25 * Z(5)",15,9,3,"{\"smallest_eigenvalues\": [-8.75, -8.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -7.75, \"smallest_bitstrings\": [\"100000000\", \"100000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(-0.0137) q[0];\nry(-0.0009) q[1];\nry(0.0009) q[2];\nry(0.0018) q[3];\nry(0.0005) q[4];\nry(-0.0049) q[5];\nry(-0.0003) q[6];\nry(-1.4017) q[7];\nry(-0.3293) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0011) q[0];\nry(-0.1143) q[1];\nry(-0.0023) q[2];\nry(-0.0032) q[3];\nry(-0.003) q[4];\nry(-0.0029) q[5];\nry(0.0025) q[6];\nry(-0.0025) q[7];\nry(-0.0039) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(-0.0189) q[0];\nry(-0.0059) q[1];\nry(-0.0057) q[2];\nry(-0.0076) q[3];\nry(-0.0057) q[4];\nry(0.0005) q[5];\nry(-0.0058) q[6];\nry(-0.0013) q[7];\nry(-1.3749) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.5097) q[0];\nry(-0.0024) q[1];\nry(-0.0032) q[2];\nry(-0.0033) q[3];\nry(-0.0034) q[4];\nry(-0.0033) q[5];\nry(-0.003) q[6];\nry(-0.3596) q[7];\nry(0.0054) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.454) q[0];\nry(-0.0011) q[1];\nry(-0.0024) q[2];\nry(-0.0038) q[3];\nry(-0.0028) q[4];\nry(-0.0025) q[5];\nry(-0.002) q[6];\nry(-0.3766) q[7];\nry(-0.0062) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-1.3171) q[0];\nry(-0.2492) q[1];\nry(0.003) q[2];\nry(0.0031) q[3];\nry(0.0028) q[4];\nry(0.0028) q[5];\nry(-0.0024) q[6];\nry(-0.0008) q[7];\nry(-0.0016) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x20) q[4];\nry(x4) q[5];\nry(x22) q[6];\nry(x23) q[7];\nry(x24) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x25) q[0];\nry(x26) q[1];\nry(x12) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x27) q[5];\nry(x13) q[6];\nry(x29) q[7];\nry(x30) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x31) q[0];\nry(x9) q[1];\nry(x26) q[2];\nry(x32) q[3];\nry(x33) q[4];\nry(x16) q[5];\nry(x34) q[6];\nry(x35) q[7];\nry(x36) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x37) q[0];\nry(x38) q[1];\nry(x39) q[2];\nry(x40) q[3];\nry(x41) q[4];\nry(x41) q[5];\nry(x26) q[6];\nry(x42) q[7];\nry(x43) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["2093750442350825356","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 3, 5], [4, 5], [0, 1], [2, 5]]}","{\"states\": [17, 33], \"expectation_value\": -1.6656503608879014, \"params\": null, \"bitstrings\": [\"101110\", \"011110\"], \"total_optimization_steps\": 34, \"probabilities\": [0.05018962653815174, 0.7729580413984244], \"optimization_time\": 29.202211380004883}","0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * Z(3) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2)",1,6,1,"{\"smallest_eigenvalues\": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.5000000000000002, \"smallest_bitstrings\": [\"011110\", \"010001\", \"101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[4];\nry(0.971) q[5];\ncry(-1.3758) q[5], q[2];\nry(-0.6611) q[4];\ncry(-1.0342) q[0], q[1];\nry(0.7884) q[0];\ncry(0.3304) q[0], q[5];\nry(-0.5281) q[1];\ncry(0.4394) q[5], q[0];\ncry(-0.3216) q[5], q[1];\ncry(-0.5847) q[5], q[3];\ncry(-0.4119) q[0], q[3];\ncry(-0.2011) q[0], q[4];\ncry(-0.1504) q[0], q[2];\nry(-0.1489) q[3];\ncry(0.1566) q[1], q[5];\ncry(0.1574) q[4], q[0];\ncry(0.1753) q[4], q[2];\ncry(0.1512) q[2], q[4];\ncry(0.1243) q[2], q[0];\ncry(0.0785) q[4], q[3];\ncry(0.068) q[3], q[0];\ncry(0.0705) q[1], q[3];\ncry(0.061) q[3], q[5];\ncry(0.0663) q[2], q[3];\ncry(-0.0542) q[1], q[0];\ncry(0.0498) q[3], q[2];\ncry(-0.0459) q[2], q[5];\ncry(0.0388) q[3], q[4];\ncry(-0.0351) q[4], q[5];\ncry(-0.0297) q[4], q[1];\ncry(-0.0225) q[2], q[1];\ncry(-0.0133) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":23105,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(-1.3758) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(-1.3758) q[5], q[2];\\nry(-0.6611) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(-1.3758) q[5], q[2];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(-1.3758) q[5], q[2];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[1];\\nry(0.7884) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(-1.3758) q[5], q[2];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[1];\\nry(0.7884) q[0];\\ncry(0.3304) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(-1.3758) q[5], q[2];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[1];\\nry(0.7884) q[0];\\ncry(0.3304) q[0], q[5];\\nry(-0.5281) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(-1.3758) q[5], q[2];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[1];\\nry(0.7884) q[0];\\ncry(0.3304) q[0], q[5];\\nry(-0.5281) q[1];\\ncry(0.4394) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(-1.3758) q[5], q[2];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[1];\\nry(0.7884) q[0];\\ncry(0.3304) q[0], q[5];\\nry(-0.5281) q[1];\\ncry(0.4394) q[5], q[0];\\ncry(-0.3216) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(-1.3758) q[5], q[2];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[1];\\nry(0.7884) q[0];\\ncry(0.3304) q[0], q[5];\\nry(-0.5281)"}}]
["e4f5057259aaeddd1dd7f4f1ea49da8b","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 6, \"target\": 4}]}","{\"states\": [65, 1], \"expectation_value\": -1.8410192210227627, \"params\": [[0.0756], [-0.0834]], \"bitstrings\": [\"10111110\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006933476326426773, 0.007157859159294722], \"optimization_time\": 1.9655706882476807}","-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25 * Z(6) + 0.75 * Z(1) + -0.5 * Z(2) + 3.5 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-19.5, -19.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -17.5, \"smallest_bitstrings\": [\"11111110\", \"10111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(-0.189) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(-0.2268) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.189) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0378) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.0756) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.1512) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(-0.1134) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(-0.2268) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.1512) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(-0.1134) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(0.6426) q[7];\ncx q[0], q[7];\nrz(0.2268) q[3];\nrz(-0.0378) q[0];\nrz(-0.4914) q[4];\nrz(-0.2268) q[5];\nrz(-0.0378) q[6];\nrz(0.1134) q[1];\nrz(-0.0756) q[2];\nrz(0.5292) q[7];\nh q[0];\nrz(-0.1668) q[0];\nh q[0];\nh q[1];\nrz(-0.1668) q[1];\nh q[1];\nh q[2];\nrz(-0.1668) q[2];\nh q[2];\nh q[3];\nrz(-0.1668) q[3];\nh q[3];\nh q[4];\nrz(-0.1668) q[4];\nh q[4];\nh q[5];\nrz(-0.1668) q[5];\nh q[5];\nh q[6];\nrz(-0.1668) q[6];\nh q[6];\nh q[7];\nrz(-0.1668) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x4) q[6];\ncx q[4], q[6];\ncx q[6], q[1];\nrz(x5) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x4) q[2];\ncx q[4], q[2];\ncx q[3], q[7];\nrz(x5) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(x6) q[7];\ncx q[0], q[7];\nrz(x7) q[3];\nrz(x2) q[0];\nrz(x8) q[4];\nrz(x1) q[5];\nrz(x2) q[6];\nrz(x9) q[1];\nrz(x3) q[2];\nrz(x10) q[7];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["b4abb288c03261a7332dab8c58ac7f10","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 4, \"source\": 0, \"target\": 8}, {\"capacity\": 4, \"source\": 0, \"target\": 9}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 8}, {\"capacity\": 4, \"source\": 2, \"target\": 9}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 8}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 8}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 6, \"target\": 8}, {\"capacity\": 4, \"source\": 7, \"target\": 1}, {\"capacity\": 2, \"source\": 7, \"target\": 3}, {\"capacity\": 2, \"source\": 7, \"target\": 6}, {\"capacity\": 2, \"source\": 8, \"target\": 1}, {\"capacity\": 4, \"source\": 8, \"target\": 4}, {\"capacity\": 1, \"source\": 8, \"target\": 9}]}","{\"states\": [213, 209], \"expectation_value\": -11.133163674684397, \"params\": null, \"bitstrings\": [\"1100101010\", \"1100101110\"], \"total_optimization_steps\": 71, \"probabilities\": [0.19524069973312266, 0.62146617523988], \"optimization_time\": 146.6081211566925}","-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(9) @ Z(2)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.25 * Z(2) + -0.25 * Z(0) + -1.5 * Z(8) + 0.25 * Z(9) + -1.75 * Z(1) + 1.5 * Z(7) + 0.5 * Z(3) + -0.5 * Z(4) + -0.25 * Z(6) + 0.75 * Z(5)",1,10,1,"{\"smallest_eigenvalues\": [-11.75, -11.75, -11.75], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -10.75, \"smallest_bitstrings\": [\"1000101010\", \"1100101010\", \"1100101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[1];\nry(-1.5708) q[8];\nry(-1.5708) q[4];\ncry(-1.5708) q[9], q[0];\nry(0.9553) q[9];\nry(-0.5028) q[0];\nry(-1.5681) q[6];\ncry(1.5017) q[9], q[2];\ncry(0.3479) q[2], q[9];\nry(1.4449) q[5];\ncry(1.5636) q[2], q[3];\ncry(-0.1258) q[3], q[0];\ncry(0.1257) q[3], q[5];\ncry(0.0445) q[5], q[9];\ncry(0.0537) q[3], q[2];\nry(-0.2639) q[7];\nry(-0.0744) q[3];\ncry(0.0805) q[9], q[3];\ncry(-0.0727) q[5], q[3];\ncry(-0.2857) q[5], q[7];\ncry(-0.1959) q[0], q[3];\ncry(-0.2177) q[0], q[7];\ncry(-0.0159) q[5], q[0];\nry(-0.0271) q[2];\ncry(-0.1327) q[0], q[2];\ncry(0.0661) q[7], q[3];\ncry(0.0099) q[3], q[9];\ncry(0.0103) q[5], q[2];\ncry(-0.0262) q[0], q[9];\ncry(-0.0027) q[5], q[6];\ncry(0.0047) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"source\": 0, \"sink\": 9}",{"$cut":{"chars":66515,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[1];\\nry(-1.5708) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[1];\\nry(-1.5708) q[8];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[1];\\nry(-1.5708) q[8];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[9], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[1];\\nry(-1.5708) q[8];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[9], q[0];\\nry(0.9553) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[1];\\nry(-1.5708) q[8];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[9], q[0];\\nry(0.9553) q[9];\\nry(-0.5028) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[1];\\nry(-1.5708) q[8];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[9], q[0];\\nry(0.9553) q[9];\\nry(-0.5028) q[0];\\nry(-1.5681) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[1];\\nry(-1.5708) q[8];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[9], q[0];\\nry(0.9553) q[9];\\nry(-0.5028) q[0];\\nry(-1.5681) q[6];\\ncry(1.5017) q[9], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[1];\\nry(-1.5708) q[8];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[9], q[0];\\nry(0.9553) q[9];\\nry(-0.5028) q[0];\\nry(-1.5681) q[6];\\ncry(1.5"}}]
["a491cc1ad860027bed378ec630af854f","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 9}, {\"source\": 9, \"target\": 10}]}","{\"states\": [0, 15], \"expectation_value\": -25.231208210474534, \"params\": [0.0034000000000000002, 1.3196, 0.0043, 0.0078000000000000005, -0.0012000000000000001, -1.3749, -0.006500000000000001, 0.0006000000000000001, 0.0055000000000000005, -1.8833000000000002, -0.0049, 0.005200000000000001, -0.001, 1.8482, 0.0032, 0.0045000000000000005, 0.0036000000000000003, 1.7845, -0.0038, 0.0077, -0.0026000000000000003, 2.1561, -0.00030000000000000003, 0.006200000000000001, 0.9438000000000001, 0.26630000000000004, -0.7602, 0.0036000000000000003, 1.0314, 0.6454000000000001, 0.5447000000000001, 0.0061, 0.9919, 0.661, -0.0002, 0.0098, 0.8099000000000001, 0.5920000000000001, -0.09820000000000001, 0.0095, -0.0035, 0.0009000000000000001, 0.0027, 0.002, -0.0036000000000000003, 0.0006000000000000001, 2.5187, 0.7291000000000001, 1.1539000000000001, 1.6083], \"bitstrings\": [\"1111111111\", \"1111110000\"], \"total_optimization_steps\": 340, \"probabilities\": [0.3591282778905515, 0.4625872247348043], \"optimization_time\": 59.81879210472107}","1.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(5)) + -2.0 * (Z(1) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -3.5 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(1)) + -1.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * Z(4) + -2.5 * Z(3) + -2.0 * Z(5) + 0.5 * Z(0) + 1.0 * Z(1) + 2.0 * Z(2) + 0.5 * Z(9) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(8)",6,10,1,"{\"smallest_eigenvalues\": [-27.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -24.5, \"smallest_bitstrings\": [\"1111110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.0034) q[0];\nrz(1.3196) q[0];\nrx(-0.0012) q[1];\nrz(-1.3749) q[1];\nrx(0.0055) q[2];\nrz(-1.8833) q[2];\nrx(-0.001) q[3];\nrz(1.8482) q[3];\nrx(0.0036) q[4];\nrz(1.7845) q[4];\nrx(-0.0026) q[5];\nrz(2.1561) q[5];\nrx(0.9438) q[6];\nrz(0.2663) q[6];\nrx(1.0314) q[7];\nrz(0.6454) q[7];\nrx(0.9919) q[8];\nrz(0.661) q[8];\nrx(0.8099) q[9];\nrz(0.592) q[9];\ncrx(1.1539) q[9], q[8];\ncrx(0.7291) q[9], q[7];\ncrx(2.5187) q[9], q[6];\ncrx(0.0006) q[9], q[5];\ncrx(-0.0036) q[9], q[4];\ncrx(0.002) q[9], q[3];\ncrx(0.0027) q[9], q[2];\ncrx(0.0009) q[9], q[1];\ncrx(-0.0035) q[9], q[0];\ncrx(1.6083) q[8], q[9];\ncrx(0.7291) q[8], q[7];\ncrx(2.5187) q[8], q[6];\ncrx(0.0006) q[8], q[5];\ncrx(-0.0036) q[8], q[4];\ncrx(0.002) q[8], q[3];\ncrx(0.0027) q[8], q[2];\ncrx(0.0009) q[8], q[1];\ncrx(-0.0035) q[8], q[0];\ncrx(1.6083) q[7], q[9];\ncrx(1.1539) q[7], q[8];\ncrx(2.5187) q[7], q[6];\ncrx(0.0006) q[7], q[5];\ncrx(-0.0036) q[7], q[4];\ncrx(0.002) q[7], q[3];\ncrx(0.0027) q[7], q[2];\ncrx(0.0009) q[7], q[1];\ncrx(-0.0035) q[7], q[0];\ncrx(1.6083) q[6], q[9];\ncrx(1.1539) q[6], q[8];\ncrx(0.7291) q[6], q[7];\ncrx(0.0006) q[6], q[5];\ncrx(-0.0036) q[6], q[4];\ncrx(0.002) q[6], q[3];\ncrx(0.0027) q[6], q[2];\ncrx(0.0009) q[6], q[1];\ncrx(-0.0035) q[6], q[0];\ncrx(1.6083) q[5], q[9];\ncrx(1.1539) q[5], q[8];\ncrx(0.7291) q[5], q[7];\ncrx(2.5187) q[5], q[6];\ncrx(-0.0036) q[5], q[4];\ncrx(0.002) q[5], q[3];\ncrx(0.0027) q[5], q[2];\ncrx(0.0009) q[5], q[1];\ncrx(-0.0035) q[5], q[0];\ncrx(1.6083) q[4], q[9];\ncrx(1.1539) q[4], q[8];\ncrx(0.7291) q[4], q[7];\ncrx(2.5187) q[4], q[6];\ncrx(0.0006) q[4], q[5];\ncrx(0.002) q[4], q[3];\ncrx(0.0027) q[4], q[2];\ncrx(0.0009) q[4], q[1];\ncrx(-0.0035) q[4], q[0];\ncrx(1.6083) q[3], q[9];\ncrx(1.1539) q[3], q[8];\ncrx(0.7291) q[3], q[7];\ncrx(2.5187) q[3], q[6];\ncrx(0.0006) q[3], q[5];\ncrx(-0.0036) q[3], q[4];\ncrx(0.0027) q[3], q[2];\ncrx(0.0009) q[3], q[1];\ncrx(-0.0035) q[3], q[0];\ncrx(1.6083) q[2], q[9];\ncrx(1.1539) q[2], q[8];\ncrx(0.7291) q[2], q[7];\ncrx(2.5187) q[2], q[6];\ncrx(0.0006) q[2], q[5];\ncrx(-0.0036) q[2], q[4];\ncrx(0.002) q[2], q[3];\ncrx(0.0009) q[2], q[1];\ncrx(-0.0035) q[2], q[0];\ncrx(1.6083) q[1], q[9];\ncrx(1.1539) q[1], q[8];\ncrx(0.7291) q[1], q[7];\ncrx(2.5187) q[1], q[6];\ncrx(0.0006) q[1], q[5];\ncrx(-0.0036) q[1], q[4];\ncrx(0.002) q[1], q[3];\ncrx(0.0027) q[1], q[2];\ncrx(-0.0035) q[1], q[0];\ncrx(1.6083) q[0], q[9];\ncrx(1.1539) q[0], q[8];\ncrx(0.7291) q[0], q[7];\ncrx(2.5187) q[0], q[6];\ncrx(0.0006) q[0], q[5];\ncrx(-0.0036) q[0], q[4];\ncrx(0.002) q[0], q[3];\ncrx(0.0027) q[0], q[2];\ncrx(0.0009) q[0], q[1];\nrx(0.0043) q[0];\nrz(0.0078) q[0];\nrx(-0.0065) q[1];\nrz(0.0006) q[1];\nrx(-0.0049) q[2];\nrz(0.0052) q[2];\nrx(0.0032) q[3];\nrz(0.0045) q[3];\nrx(-0.0038) q[4];\nrz(0.0077) q[4];\nrx(-0.0003) q[5];\nrz(0.0062) q[5];\nrx(-0.7602) q[6];\nrz(0.0036) q[6];\nrx(0.5447) q[7];\nrz(0.0061) q[7];\nrx(-0.0002) q[8];\nrz(0.0098) q[8];\nrx(-0.0982) q[9];\nrz(0.0095) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x23) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x8) q[6];\nrx(x42) q[7];\nrz(x43) q[7];\nrx(x44) q[8];\nrz(x45) q[8];\nrx(x46) q[9];\nrz(x47) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 0}","{\"circuits\": [], \"gradients\": []}"]
["9e7016c164f10697b0206c1127149a76","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [17, 3], \"expectation_value\": -6.917947095858679, \"params\": [[-0.062400000000000004, -0.038900000000000004], [0.0736, 0.0732]], \"bitstrings\": [\"101110\", \"111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.03244915018638139, 0.03320132372367608], \"optimization_time\": 3.192864179611206}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + -6.0 * Z(1) + -6.0 * Z(0) + -6.0 * Z(2) + -6.0 * Z(3) + -5.5 * Z(4) + -5.5 * Z(5)",18,6,2,"{\"smallest_eigenvalues\": [-16.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.0, \"smallest_bitstrings\": [\"111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.2808) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2808) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2808) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2808) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2808) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2808) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.312) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.312) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2808) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2808) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2808) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.2808) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.312) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.312) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.312) q[5];\ncx q[4], q[5];\nrz(0.7488) q[1];\nrz(0.7488) q[0];\nrz(0.7488) q[2];\nrz(0.7488) q[3];\nrz(0.6864) q[4];\nrz(0.6864) q[5];\nh q[0];\nrz(0.1472) q[0];\nh q[0];\nh q[1];\nrz(0.1472) q[1];\nh q[1];\nh q[2];\nrz(0.1472) q[2];\nh q[2];\nh q[3];\nrz(0.1472) q[3];\nh q[3];\nh q[4];\nrz(0.1472) q[4];\nh q[4];\nh q[5];\nrz(0.1472) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.1751) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1751) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1751) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1751) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1751) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1751) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.1945) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1945) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1751) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.1751) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.1751) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.1751) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.1945) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.1945) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.1945) q[5];\ncx q[4], q[5];\nrz(0.4668) q[1];\nrz(0.4668) q[0];\nrz(0.4668) q[2];\nrz(0.4668) q[3];\nrz(0.4279) q[4];\nrz(0.4279) q[5];\nh q[0];\nrz(0.1464) q[0];\nh q[0];\nh q[1];\nrz(0.1464) q[1];\nh q[1];\nh q[2];\nrz(0.1464) q[2];\nh q[2];\nh q[3];\nrz(0.1464) q[3];\nh q[3];\nh q[4];\nrz(0.1464) q[4];\nh q[4];\nh q[5];\nrz(0.1464) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x3) q[4];\nrz(x3) q[5];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x5) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x5) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x5) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x5) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x5) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x6) q[5];\ncx q[4], q[5];\nrz(x7) q[1];\nrz(x7) q[0];\nrz(x7) q[2];\nrz(x7) q[3];\nrz(x8) q[4];\nrz(x8) q[5];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["d2601bbf36e7658df88520110518167a","graph_isomorphism","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": []}","{\"states\": [61117, 59325], \"expectation_value\": -15.273555618327475, \"params\": null, \"bitstrings\": [\"0001000101000010\", \"0001100001000010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.04222499524777605, 0.7004648347042954], \"optimization_time\": 1164.3997457027435}","0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(6)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(14)) + 0.5 * (Z(15) @ Z(3)) + 0.5 * (Z(15) @ Z(7)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(14)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(14)) + 0.5 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(15)) + 2.0 * Z(1) + 2.0 * Z(2) + 2.0 * Z(3) + 2.0 * Z(0) + 2.0 * Z(6) + 2.0 * Z(5) + 2.0 * Z(7) + 2.0 * Z(4) + 2.0 * Z(10) + 2.0 * Z(9) + 2.0 * Z(11) + 2.0 * Z(8) + 2.0 * Z(14) + 2.0 * Z(13) + 2.0 * Z(15) + 2.0 * Z(12)",1,16,4,"{\"smallest_eigenvalues\": [-15.99999999999997], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.999999999999941, \"smallest_bitstrings\": [\"0001100001000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nry(1.5708) q[10];\nry(1.5708) q[5];\nry(1.5708) q[0];\ncry(1.5681) q[5], q[12];\ncry(1.5681) q[5], q[11];\ncry(1.5681) q[0], q[6];\ncry(1.5681) q[0], q[1];\ncry(-1.0342) q[13], q[14];\ncry(-1.0342) q[4], q[7];\ncry(-1.0342) q[13], q[9];\nry(0.7625) q[13];\ncry(-0.7068) q[8], q[9];\ncry(1.1319) q[13], q[8];\ncry(-0.7068) q[2], q[14];\ncry(1.1319) q[13], q[2];\ncry(-0.9902) q[2], q[3];\ncry(1.1911) q[10], q[7];\ncry(-1.2798) q[8], q[4];\ncry(0.7396) q[12], q[7];\ncry(-0.5757) q[7], q[3];\nry(0.3849) q[2];\ncry(-0.3814) q[8], q[14];\ncry(0.431) q[2], q[13];\ncry(-0.3778) q[2], q[9];\ncry(0.3611) q[7], q[8];\ncry(-0.326) q[12], q[4];\ncry(0.1491) q[8], q[7];\ncry(-0.0885) q[15], q[14];\ncry(0.107) q[8], q[13];\ncry(-0.082) q[7], q[9];\ncry(-0.0591) q[15], q[3];\nry(0.0718) q[8];\ncry(-0.0504) q[15], q[4];\ncry(0.0645) q[7], q[2];\ncry(-0.0348) q[12], q[14];\ncry(0.1585) q[9], q[2];\ncry(0.1577) q[14], q[8];\ncry(-0.0192) q[15], q[9];\ncry(0.1078) q[4], q[9];\ncry(-0.0151) q[12], q[3];\ncry(0.1023) q[3], q[14];\ncry(-0.0903) q[9], q[13];\ncry(0.1085) q[14], q[9];\ncry(-0.1) q[14], q[13];\ncry(-0.0858) q[4], q[8];\ncry(0.0961) q[9], q[14];\ncry(-0.0128) q[8], q[2];\ncry(-0.0739) q[9], q[8];\nry(0.0364) q[9];\ncry(-0.0099) q[2], q[8];\ncry(0.0359) q[13], q[4];\ncry(-0.0166) q[11], q[4];\ncry(-0.01) q[6], q[7];\ncry(-0.0538) q[9], q[7];\ncry(-0.0417) q[14], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];",null,"{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 2}, {\"id\": 1}, {\"id\": 3}, {\"id\": 0}], \"edges\": []}}",{"$cut":{"chars":159048,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nry(1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nry(1.5708) q[5];\\nry(1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nry(1.5708) q[5];\\nry(1.5708) q[0];\\ncry(1.5681) q[5], q[12];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nh q[13];\\nh q[14];\\nh q[15];\\nry(1.5708) q[15];\\nry(1.5708) q[10];\\nry(1.5708) q[5];\\nry(1.5708) q[0];\\ncry(1.5681) q[5], q[12];\\ncry(1.5681) q[5], q[11];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\nc[13] = measure q[13];\\nc[14] = measure q[14];\\nc[15] = measure q[15];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[16] c;\\nqubit[16] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q"}}]
["62ca4fdc3f835f51dee1780376d2bf19","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [50, 38], \"expectation_value\": -0.34259564674442156, \"params\": [[0.0396, 0.0412, 0.0115, 0.0264], [-0.036000000000000004, -0.0391, -0.0228, -0.0247]], \"bitstrings\": [\"001101\", \"011001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.019334741762658612, 0.019334741762658616], \"optimization_time\": 5.150231122970581}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4)",1,6,4,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"001101\", \"011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.0396) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(0.0396) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0396) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0396) q[1];\ncx q[2], q[1];\ncx q[5], q[3];\nrz(0.0396) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0396) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.0396) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(0.0396) q[4];\ncx q[5], q[4];\nrz(-0.1188) q[2];\nrz(-0.0396) q[0];\nrz(-0.1188) q[5];\nrz(-0.0396) q[1];\nrz(-0.0396) q[3];\nrz(-0.0396) q[4];\nh q[0];\nrz(-0.072) q[0];\nh q[0];\nh q[1];\nrz(-0.072) q[1];\nh q[1];\nh q[2];\nrz(-0.072) q[2];\nh q[2];\nh q[3];\nrz(-0.072) q[3];\nh q[3];\nh q[4];\nrz(-0.072) q[4];\nh q[4];\nh q[5];\nrz(-0.072) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0412) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(0.0412) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0412) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0412) q[1];\ncx q[2], q[1];\ncx q[5], q[3];\nrz(0.0412) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0412) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.0412) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(0.0412) q[4];\ncx q[5], q[4];\nrz(-0.1236) q[2];\nrz(-0.0412) q[0];\nrz(-0.1236) q[5];\nrz(-0.0412) q[1];\nrz(-0.0412) q[3];\nrz(-0.0412) q[4];\nh q[0];\nrz(-0.0782) q[0];\nh q[0];\nh q[1];\nrz(-0.0782) q[1];\nh q[1];\nh q[2];\nrz(-0.0782) q[2];\nh q[2];\nh q[3];\nrz(-0.0782) q[3];\nh q[3];\nh q[4];\nrz(-0.0782) q[4];\nh q[4];\nh q[5];\nrz(-0.0782) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0115) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(0.0115) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0115) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0115) q[1];\ncx q[2], q[1];\ncx q[5], q[3];\nrz(0.0115) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0115) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.0115) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(0.0115) q[4];\ncx q[5], q[4];\nrz(-0.0345) q[2];\nrz(-0.0115) q[0];\nrz(-0.0345) q[5];\nrz(-0.0115) q[1];\nrz(-0.0115) q[3];\nrz(-0.0115) q[4];\nh q[0];\nrz(-0.0456) q[0];\nh q[0];\nh q[1];\nrz(-0.0456) q[1];\nh q[1];\nh q[2];\nrz(-0.0456) q[2];\nh q[2];\nh q[3];\nrz(-0.0456) q[3];\nh q[3];\nh q[4];\nrz(-0.0456) q[4];\nh q[4];\nh q[5];\nrz(-0.0456) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0264) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(0.0264) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0264) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0264) q[1];\ncx q[2], q[1];\ncx q[5], q[3];\nrz(0.0264) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0264) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.0264) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(0.0264) q[4];\ncx q[5], q[4];\nrz(-0.0792) q[2];\nrz(-0.0264) q[0];\nrz(-0.0792) q[5];\nrz(-0.0264) q[1];\nrz(-0.0264) q[3];\nrz(-0.0264) q[4];\nh q[0];\nrz(-0.0494) q[0];\nh q[0];\nh q[1];\nrz(-0.0494) q[1];\nh q[1];\nh q[2];\nrz(-0.0494) q[2];\nh q[2];\nh q[3];\nrz(-0.0494) q[3];\nh q[3];\nh q[4];\nrz(-0.0494) q[4];\nh q[4];\nh q[5];\nrz(-0.0494) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x1) q[5];\nrz(x2) q[1];\nrz(x2) q[3];\nrz(x2) q[4];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x4) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x4) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x4) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x4) q[1];\ncx q[2], q[1];\ncx q[5], q[3];\nrz(x4) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x4) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x4) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x4) q[4];\ncx q[5], q[4];\nrz(x5) q[2];\nrz(x6) q[0];\nrz(x5) q[5];\nrz(x6) q[1];\nrz(x6) q[3];\nrz(x6) q[4];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x8) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x8) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x8) q[1];\ncx q[2], q[1];\ncx q[5], q[3];\nrz(x8) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x8) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x8) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x8) q[4];\ncx q[5], q[4];\nrz(x9) q[2];\nrz(x10) q[0];\nrz(x9) q[5];\nrz(x10) q[1];\nrz(x10) q[3];\nrz(x10) q[4];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x12) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x12) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x12) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x12) q[1];\ncx q[2], q[1];\ncx q[5], q[3];\nrz(x12) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x12) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x12) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x12) q[4];\ncx q[5], q[4];\nrz(x13) q[2];\nrz(x14) q[0];\nrz(x13) q[5];\nrz(x14) q[1];\nrz(x14) q[3];\nrz(x14) q[4];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["549ddf61b33c747b7d039a2118793eec","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [127, 119], \"expectation_value\": -0.5493032297331659, \"params\": [[-0.0704], [0.0699]], \"bitstrings\": [\"0000000\", \"0001000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.011150862552918889, 0.011371620547483429], \"optimization_time\": 1.0374903678894043}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(3)",5,7,1,"{\"smallest_eigenvalues\": [-12.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"0001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.2112) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2112) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2112) q[2];\ncx q[0], q[2];\ncx q[5], q[4];\nrz(0.2112) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(0.2112) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.2112) q[6];\ncx q[4], q[6];\nrz(-0.0704) q[1];\nrz(-0.0704) q[0];\nrz(-0.0704) q[2];\nrz(-0.0704) q[5];\nrz(-0.0704) q[4];\nrz(-0.0704) q[6];\nrz(0.0704) q[3];\nh q[0];\nrz(0.1398) q[0];\nh q[0];\nh q[1];\nrz(0.1398) q[1];\nh q[1];\nh q[2];\nrz(0.1398) q[2];\nh q[2];\nh q[3];\nrz(0.1398) q[3];\nh q[3];\nh q[4];\nrz(0.1398) q[4];\nh q[4];\nh q[5];\nrz(0.1398) q[5];\nh q[5];\nh q[6];\nrz(0.1398) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x1) q[5];\nrz(x1) q[4];\nrz(x1) q[6];\nrz(x2) q[3];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["c5d57071b024d109c38c43678d62eaf1","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}]}","{\"states\": [0, 1], \"expectation_value\": -3.4994830776867167, \"params\": [[[-0.004200000000000001, 0.38830000000000003], [0.0044, 0.45630000000000004], [0.6059, 0.0038]], [[-0.0038, 0.37120000000000003], [-0.0007, 0.3321], [0.609, 0.0038]], [[-0.004200000000000001, 0.0098], [0.0049, 0.0046], [0.6085, 0.0012000000000000001]]], \"bitstrings\": [\"111\", \"110\"], \"total_optimization_steps\": 60, \"probabilities\": [0.37503372169307136, 0.6249171218698697], \"optimization_time\": 2.4842848777770996}","-1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2)",1,3,3,"{\"smallest_eigenvalues\": [-5.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.75, \"smallest_bitstrings\": [\"110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nrx(-0.0042) q[0];\nrz(0.3883) q[0];\nrx(0.0044) q[1];\nrz(0.4563) q[1];\nrx(0.6059) q[2];\nrz(0.0038) q[2];\nrx(-0.0038) q[0];\nrz(0.3712) q[0];\nrx(-0.0007) q[1];\nrz(0.3321) q[1];\nrx(0.609) q[2];\nrz(0.0038) q[2];\nrx(-0.0042) q[0];\nrz(0.0098) q[0];\nrx(0.0049) q[1];\nrz(0.0046) q[1];\nrx(0.6085) q[2];\nrz(0.0012) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[3] c;\nqubit[3] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[0];\nrz(x7) q[0];\nrx(x8) q[1];\nrz(x9) q[1];\nrx(x10) q[2];\nrz(x5) q[2];\nrx(x0) q[0];\nrz(x11) q[0];\nrx(x12) q[1];\nrz(x13) q[1];\nrx(x14) q[2];\nrz(x15) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];","{\"source\": 0, \"sink\": 2}","{\"circuits\": [], \"gradients\": []}"]
["bd450980ecb62a263062b6b855a443ea","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}]}","{\"states\": [27, 31], \"expectation_value\": -5.88727440555093, \"params\": null, \"bitstrings\": [\"1100100\", \"1100000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.41295864328490506, 0.41295864328490506], \"optimization_time\": 33.359108686447144}","-1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"1110100\", \"1100100\", \"1100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) q[5];\ncry(1.5681) q[6], q[3];\nry(1.0378) q[6];\ncry(-1.5705) q[6], q[0];\ncry(-1.5707) q[5], q[1];\nry(0.4432) q[3];\ncry(0.2657) q[5], q[6];\ncry(1.4449) q[5], q[2];\ncry(0.1283) q[5], q[3];\ncry(0.0507) q[3], q[6];\ncry(-0.0497) q[3], q[0];\ncry(-0.3386) q[0], q[3];\nry(0.0498) q[0];\nry(0.1188) q[2];\ncry(-0.1724) q[0], q[6];\ncry(0.0199) q[2], q[0];\ncry(0.0206) q[2], q[3];\ncry(-0.0001) q[2], q[1];\ncry(0.0014) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}",{"$cut":{"chars":24768,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\ncry(0.2657) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\ncry(0.2657) q[5], q[6];\\ncry(1.4449) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\ncry(0.2657) q[5], q[6];\\ncry(1.4449) q[5], q[2];\\ncry(0.1283) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\ncry(0.2657) q[5], q[6];\\ncry(1.4449) q[5], q[2];\\ncry(0.1283) q[5], q[3];\\ncry(0.0507) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = mea"}}]
["4002e7c825d905d476562dd2a4250026","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [116, 85], \"expectation_value\": -5.499883762775479, \"params\": null, \"bitstrings\": [\"0001011\", \"0101010\"], \"total_optimization_steps\": 33, \"probabilities\": [1.641415669550968e-05, 0.9999151816609215], \"optimization_time\": 33.655946016311646}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2)",1,7,3,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nry(-1.5681) q[5];\nry(-1.4449) q[1];\nry(1.4449) q[2];\nry(1.4449) q[0];\nry(1.4417) q[4];\nry(1.4417) q[6];\ncry(-0.1259) q[6], q[1];\ncry(0.1217) q[2], q[4];\ncry(0.1216) q[4], q[6];\ncry(0.1188) q[4], q[0];\ncry(0.1186) q[0], q[2];\ncry(-0.0027) q[6], q[5];\ncry(-0.0005) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":17307,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[1];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[1];\\nry(1.4449) q[2];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[1];\\nry(1.4449) q[2];\\nry(1.4449) q[0];\\nry(1.4417) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[1];\\nry(1.4449) q[2];\\nry(1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[1];\\nry(1.4449) q[2];\\nry(1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[6];\\ncry(-0.1259) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[1];\\nry(1.4449) q[2];\\nry(1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[6];\\ncry(-0.1259) q[6], q[1];\\ncry(0.1217) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[1];\\nry(1.4449) q[2];\\nry(1.4449) q[0];\\nry(1.4417) q[4];\\nry(1.4417) q[6];\\ncry(-0.1259) q[6], q[1];\\ncry(0.1217) q[2], q[4];\\ncry(0.1216) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nr"}}]
["74dc5f2df918e077683eb641a6f549fe","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [37, 45], \"expectation_value\": -6.505382715354629, \"params\": [[-0.0014, -0.0045000000000000005, 0.6407, 0.0032, 0.6901, 0.6962, -0.0044, 0.6358], [-0.0031000000000000003, -0.0025, 0.637, 0.004, 0.22390000000000002, 0.22240000000000001, -0.002, 0.641], [-0.0049, 0.0109, 0.6331, 0.0002, 0.7037, 0.7022, 0.0037, 0.6368], [-0.0001, 0.017400000000000002, 0.6336, 0.0048000000000000004, 0.1537, 0.15180000000000002, -0.0021000000000000003, 0.6351], [0.0011, 0.0028, 0.6398, 0.0007, 0.7038, 0.6995, 0.0007, 0.6369]], \"bitstrings\": [\"11011010\", \"11010010\"], \"total_optimization_steps\": 70, \"probabilities\": [0.2425511748285086, 0.5101537883667047], \"optimization_time\": 4.651189804077148}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(3) + -2.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -1.5 * Z(6) + -1.0 * Z(7) + -1.0 * Z(1) + -0.5 * Z(2)",10,8,4,"{\"smallest_eigenvalues\": [-7.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"11010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(-0.0014) q[0];\nry(-0.0045) q[1];\nry(0.6407) q[2];\nry(0.0032) q[3];\nry(0.6901) q[4];\nry(0.6962) q[5];\nry(-0.0044) q[6];\nry(0.6358) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(-0.0031) q[0];\nry(-0.0025) q[1];\nry(0.637) q[2];\nry(0.004) q[3];\nry(0.2239) q[4];\nry(0.2224) q[5];\nry(-0.002) q[6];\nry(0.641) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(-0.0049) q[0];\nry(0.0109) q[1];\nry(0.6331) q[2];\nry(0.0002) q[3];\nry(0.7037) q[4];\nry(0.7022) q[5];\nry(0.0037) q[6];\nry(0.6368) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(-0.0001) q[0];\nry(0.0174) q[1];\nry(0.6336) q[2];\nry(0.0048) q[3];\nry(0.1537) q[4];\nry(0.1518) q[5];\nry(-0.0021) q[6];\nry(0.6351) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(0.0011) q[0];\nry(0.0028) q[1];\nry(0.6398) q[2];\nry(0.0007) q[3];\nry(0.7038) q[4];\nry(0.6995) q[5];\nry(0.0007) q[6];\nry(0.6369) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x16) q[0];\nry(x17) q[1];\nry(x18) q[2];\nry(x19) q[3];\nry(x20) q[4];\nry(x21) q[5];\nry(x22) q[6];\nry(x23) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x32) q[0];\nry(x33) q[1];\nry(x34) q[2];\nry(x35) q[3];\nry(x36) q[4];\nry(x37) q[5];\nry(x35) q[6];\nry(x38) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["641201f67815f64266ad9829d1b30894","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 9, \"target\": 10}]}","{\"states\": [0, 7], \"expectation_value\": -2.979878904118699, \"params\": [[-0.057800000000000004], [0.0587]], \"bitstrings\": [\"1111111111\", \"1111111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0016126270045757555, 0.0016750721176067014], \"optimization_time\": 0.9584341049194336}","-3.5 * (Z(0) @ Z(2)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -4.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + -3.0 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -4.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 1.5 * Z(2) + -2.5 * Z(0) + -3.0 * Z(4) + -2.5 * Z(6) + 1.0 * Z(1) + -2.5 * Z(3) + 1.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-35.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -32.0, \"smallest_bitstrings\": [\"1111111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[2], q[0];\nrz(0.4046) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(-0.1734) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.4624) q[4];\ncx q[0], q[4];\ncx q[2], q[6];\nrz(-0.0578) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.3468) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(0.4046) q[6];\ncx q[4], q[6];\ncx q[2], q[1];\nrz(0.289) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.1156) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(0.4624) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(-0.0578) q[1];\ncx q[6], q[1];\ncx q[2], q[3];\nrz(0.3468) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.1734) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(0.4624) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(-0.1156) q[3];\ncx q[6], q[3];\ncx q[1], q[3];\nrz(-0.1156) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(-0.1156) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.4046) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.289) q[5];\ncx q[6], q[5];\ncx q[1], q[5];\nrz(-0.0578) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(-0.0578) q[5];\ncx q[3], q[5];\ncx q[8], q[7];\nrz(0.1734) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(0.1734) q[9];\ncx q[8], q[9];\ncx q[7], q[9];\nrz(-0.0578) q[9];\ncx q[7], q[9];\nrz(-0.1734) q[2];\nrz(0.289) q[0];\nrz(0.3468) q[4];\nrz(0.289) q[6];\nrz(-0.1156) q[1];\nrz(0.289) q[3];\nrz(-0.1734) q[5];\nrz(-0.0578) q[8];\nrz(-0.0578) q[7];\nrz(-0.0578) q[9];\nh q[0];\nrz(0.1174) q[0];\nh q[0];\nh q[1];\nrz(0.1174) q[1];\nh q[1];\nh q[2];\nrz(0.1174) q[2];\nh q[2];\nh q[3];\nrz(0.1174) q[3];\nh q[3];\nh q[4];\nrz(0.1174) q[4];\nh q[4];\nh q[5];\nrz(0.1174) q[5];\nh q[5];\nh q[6];\nrz(0.1174) q[6];\nh q[6];\nh q[7];\nrz(0.1174) q[7];\nh q[7];\nh q[8];\nrz(0.1174) q[8];\nh q[8];\nh q[9];\nrz(0.1174) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[2], q[6];\nrz(x3) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x4) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[1];\nrz(x5) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x6) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(x2) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(x3) q[1];\ncx q[6], q[1];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(x6) q[3];\ncx q[6], q[3];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x5) q[5];\ncx q[6], q[5];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[8], q[7];\nrz(x7) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(x7) q[9];\ncx q[8], q[9];\ncx q[7], q[9];\nrz(x3) q[9];\ncx q[7], q[9];\nrz(x1) q[2];\nrz(x5) q[0];\nrz(x4) q[4];\nrz(x5) q[6];\nrz(x6) q[1];\nrz(x5) q[3];\nrz(x1) q[5];\nrz(x3) q[8];\nrz(x3) q[7];\nrz(x3) q[9];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\nh q[9];\nrz(x8) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 5}","{\"circuits\": [], \"gradients\": []}"]
["bfdf48849280d388eb48018fbf3b92a5","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 7}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}]}","{\"states\": [21, 53], \"expectation_value\": -4.244328602472443, \"params\": [[[-0.0019, 0.4731], [0.0028, -0.49610000000000004], [0.0626, -0.40750000000000003], [0.8272, 0.0049], [0.8534, 0.002], [0.7246, -0.043500000000000004], [0.9042, -0.0031000000000000003], [0.7317, -0.038400000000000004], [0.9023, -0.0011]], [[-0.0014, 0.0079], [0.0032, 0.0058000000000000005], [0.06810000000000001, 0.0073], [0.8322, 0.0056], [0.8505, 0.009600000000000001], [0.7184, 0.0044], [0.9045000000000001, 0.0059], [0.7378, 0.0022], [0.9059, 0.0092]]], \"bitstrings\": [\"111101010\", \"111001010\"], \"total_optimization_steps\": 90, \"probabilities\": [0.03046770627192513, 0.03638079936335102], \"optimization_time\": 21.76454782485962}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(6) + -0.5 * Z(8) + -1.0 * Z(7) + -0.5 * Z(3) + 0.0 * Z(5)",1,9,2,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"110101010\", \"111010010\", \"110110010\", \"111110000\", \"111001010\", \"111101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(-0.0019) q[0];\nrz(0.4731) q[0];\nrx(0.0028) q[1];\nrz(-0.4961) q[1];\nrx(0.0626) q[2];\nrz(-0.4075) q[2];\nrx(0.8272) q[3];\nrz(0.0049) q[3];\nrx(0.8534) q[4];\nrz(0.002) q[4];\nrx(0.7246) q[5];\nrz(-0.0435) q[5];\nrx(0.9042) q[6];\nrz(-0.0031) q[6];\nrx(0.7317) q[7];\nrz(-0.0384) q[7];\nrx(0.9023) q[8];\nrz(-0.0011) q[8];\nrx(-0.0014) q[0];\nrz(0.0079) q[0];\nrx(0.0032) q[1];\nrz(0.0058) q[1];\nrx(0.0681) q[2];\nrz(0.0073) q[2];\nrx(0.8322) q[3];\nrz(0.0056) q[3];\nrx(0.8505) q[4];\nrz(0.0096) q[4];\nrx(0.7184) q[5];\nrz(0.0044) q[5];\nrx(0.9045) q[6];\nrz(0.0059) q[6];\nrx(0.7378) q[7];\nrz(0.0022) q[7];\nrx(0.9059) q[8];\nrz(0.0092) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[0];\nrz(x19) q[0];\nrx(x20) q[1];\nrz(x21) q[1];\nrx(x22) q[2];\nrz(x23) q[2];\nrx(x24) q[3];\nrz(x25) q[3];\nrx(x26) q[4];\nrz(x27) q[4];\nrx(x28) q[5];\nrz(x29) q[5];\nrx(x30) q[6];\nrz(x31) q[6];\nrx(x32) q[7];\nrz(x33) q[7];\nrx(x34) q[8];\nrz(x35) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["43f346f2449aaad74bd3d1617b2cab32","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [21, 22], \"expectation_value\": -3.4999003241120192, \"params\": null, \"bitstrings\": [\"101010\", \"101001\"], \"total_optimization_steps\": 26, \"probabilities\": [1.7187859465320965e-05, 0.9999500713236515], \"optimization_time\": 18.555853605270386}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5)",1,6,3,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"101001\", \"110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nry(-1.4449) q[0];\nry(-1.4449) q[5];\nry(1.4417) q[3];\nry(1.4417) q[1];\nry(1.4384) q[4];\ncry(-0.1259) q[4], q[5];\ncry(-0.1259) q[3], q[0];\ncry(0.1246) q[3], q[4];\ncry(0.1218) q[4], q[1];\ncry(0.1214) q[1], q[3];\ncry(-0.0027) q[4], q[2];\ncry(-0.0005) q[3], q[5];\ncry(-0.0005) q[4], q[0];\ncry(0.0076) q[1], q[4];\ncry(0.0069) q[3], q[1];\ncry(0.0069) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0005) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0005) q[3], q[5];\\ncry(-0.0005) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0005) q[3], q[5];\\ncry(-0.0005) q[4], q[0];\\ncry(0.0076) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0005) q[3], q[5];\\ncry(-0.0005) q[4], q[0];\\ncry(0.0076) q[1], q[4];\\ncry(0.0069) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0005) q[3], q[5];\\ncry(-0.0005) q[4], q[0];\\ncry(0.0076) q[1], q[4];\\ncry(0.0069) q[3], q[1];\\ncry(0.0069) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0005) q[3], q[5];\\ncry(-0.0005) q[4], q[0];\\ncry(0.0076) q[1], q[4];\\ncry(0.0069) q[3], q[1];\\ncry(0.0069) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0005) q[3], q[5];\\ncry(-0.0005) q[4], q[0];\\ncry(0.0076) q[1], q[4];\\ncry(0.0069) q[3], q[1];\\ncry(0.0069) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[2];\\nry(-1.4449) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[4];\\ncry(-0.1259) q[4], q[5];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0005) q[3], q[5];\\ncry(-0.0005) q[4], q[0];\\ncry(0.0076) q[1], q[4];\\ncry(0.0069) q[3], q[1];\\ncry(0.0069) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.0067, 0.5035, 0.5023, 0.4964, 0.4961, 0.4917, 0.1915, 0.1915, 0.0646, 0.0634, 0.0631, 0.0086, 0.006, 0.006, 0.006, 0.0045, 0.0045, 0.0045, 0.0038, 0.0038, 0.0035, 0.0031, 0.0031, 0.003, 0.003, 0.003]}"]
["04943d12be9331cc9245456617bb8845","max_flow","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [220, 958], \"expectation_value\": -25.25465899163168, \"params\": null, \"bitstrings\": [\"1111100100011\", \"1110001000001\"], \"total_optimization_steps\": 100, \"probabilities\": [0.07078627321040105, 0.4572531585542735], \"optimization_time\": 345.2128827571869}","-1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10)) + -2.0 * (Z(7) @ Z(11)) + 2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(0)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 2.0 * (Z(9) @ Z(5)) + 1.0 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(0)) + 1.0 * (Z(9) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (Z(12) @ Z(11)) + -0.5 * (Z(12) @ Z(6)) + -1.0 * (Z(12) @ Z(7)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * Z(3) + 1.0 * Z(10) + 2.0 * Z(11) + 11.0 * Z(5) + 5.5 * Z(4) + -4.125 * Z(0) + 4.0 * Z(6) + 8.0 * Z(7) + 4.0 * Z(8) + 8.0 * Z(9) + 0.0 * Z(12) + -0.75 * Z(2) + -0.375 * Z(1)",1,13,3,"{\"smallest_eigenvalues\": [-30.5, -30.5, -30.5, -30.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -30.25, \"smallest_bitstrings\": [\"1111000010100\", \"1110001000001\", \"1110000010000\", \"1111001000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-2.4156) q[5];\nry(-1.3446) q[7];\nry(10.3973) q[9];\nry(2.8876) q[4];\nry(-0.1439) q[6];\nry(-0.2211) q[0];\nry(0.0007) q[8];\ncry(-2.2664) q[4], q[5];\ncry(1.7035) q[5], q[6];\ncry(-1.2698) q[6], q[0];\ncry(1.57) q[6], q[8];\ncry(-3.8095) q[8], q[9];\ncry(0.7391) q[6], q[9];\ncry(-0.7975) q[8], q[5];\ncry(0.553) q[5], q[9];\ncry(1.5707) q[3], q[11];\nry(0.863) q[3];\ncry(-0.9749) q[5], q[4];\ncry(0.3848) q[6], q[5];\ncry(-0.6443) q[3], q[0];\ncry(0.2903) q[9], q[5];\ncry(-1.5636) q[11], q[12];\nry(0.3085) q[11];\nry(-1.5486) q[2];\ncry(0.3887) q[8], q[6];\nry(-1.5158) q[1];\ncry(-0.2964) q[4], q[6];\ncry(0.4135) q[4], q[0];\ncry(-0.2415) q[11], q[0];\ncry(0.4272) q[11], q[6];\ncry(0.4529) q[11], q[3];\ncry(0.175) q[3], q[9];\ncry(-0.1289) q[4], q[9];\ncry(-0.3333) q[3], q[8];\ncry(0.3532) q[9], q[8];\ncry(0.2253) q[11], q[9];\ncry(-0.3661) q[11], q[8];\ncry(2.9138) q[11], q[7];\nry(1.5708) q[10];\ncry(-0.6386) q[10], q[0];\ncry(2.0382) q[10], q[6];\ncry(0.6082) q[7], q[0];\ncry(0.5148) q[7], q[6];\ncry(-0.7846) q[9], q[6];\ncry(0.4587) q[3], q[6];\ncry(0.1844) q[10], q[9];\ncry(-0.3137) q[10], q[8];\ncry(0.337) q[5], q[0];\ncry(1.3837) q[10], q[4];\ncry(-0.2879) q[10], q[5];\ncry(1.6413) q[6], q[4];\ncry(-0.7138) q[9], q[4];\ncry(-0.2242) q[7], q[9];\ncry(0.3119) q[5], q[8];\ncry(0.1634) q[7], q[4];\ncry(-0.263) q[4], q[8];\ncry(0.1009) q[3], q[5];\ncry(-0.5051) q[10], q[12];\ncry(-0.1515) q[8], q[4];\ncry(0.22) q[7], q[8];\ncry(0.1107) q[11], q[4];\ncry(-0.1197) q[10], q[3];\ncry(0.028) q[10], q[7];\ncry(-0.0011) q[3], q[7];\ncry(-0.4987) q[6], q[12];\ncry(-0.0678) q[8], q[0];\ncry(-0.333) q[12], q[6];\ncry(-0.2086) q[6], q[3];\nry(-0.1911) q[12];\ncry(0.2799) q[7], q[12];\ncry(0.0668) q[9], q[0];\ncry(0.1019) q[7], q[3];\ncry(-0.1407) q[8], q[12];\ncry(0.1747) q[3], q[12];\ncry(0.2615) q[0], q[4];\ncry(-0.1078) q[4], q[12];\ncry(-0.012) q[5], q[7];\ncry(-0.0537) q[10], q[1];\ncry(0.1237) q[12], q[4];\ncry(-0.2144) q[0], q[5];\ncry(-0.023) q[11], q[5];\ncry(-0.1319) q[12], q[8];\ncry(-0.112) q[12], q[5];\ncry(-0.0222) q[10], q[2];\ncry(-0.0283) q[8], q[3];\ncry(-0.1018) q[12], q[3];\ncry(-0.0188) q[3], q[4];\ncry(-0.0561) q[12], q[11];\ncry(0.0738) q[12], q[9];\ncry(0.0088) q[4], q[7];\ncry(-0.0047) q[9], q[7];\ncry(0.0033) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":169257,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.3973) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.3973) q[9];\\nry(2.8876) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.3973) q[9];\\nry(2.8876) q[4];\\nry(-0.1439) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.3973) q[9];\\nry(2.8876) q[4];\\nry(-0.1439) q[6];\\nry(-0.2211) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nh q[12];\\nry(-2.4156) q[5];\\nry(-1.3446) q[7];\\nry(10.3973) q[9];\\nry(2.8876) q[4];\\nry(-0.1439) q[6];\\nry(-0.2211) q[0];\\nry(0.0007) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\nc[12] = measure q[12];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[13] c;\\nqubit[13] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];"}}]
["473775bc8d8b4cca680d00f7b64c1aa1","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}]}","{\"states\": [36, 3], \"expectation_value\": -6.474634729053957, \"params\": [[-0.0514, -0.0555], [0.0656, 0.0792]], \"bitstrings\": [\"011011\", \"111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.03182288605198022, 0.032497198175845635], \"optimization_time\": 3.626911163330078}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + -6.25 * Z(1) + -5.75 * Z(0) + -6.25 * Z(2) + -5.75 * Z(3) + -5.5 * Z(4) + -5.5 * Z(5)",18,6,2,"{\"smallest_eigenvalues\": [-16.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.0, \"smallest_bitstrings\": [\"111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.2313) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2313) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2313) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2313) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2313) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2313) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.2313) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.257) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2313) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.257) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2313) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.257) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2313) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.257) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.257) q[5];\ncx q[4], q[5];\nrz(0.6425) q[1];\nrz(0.5911) q[0];\nrz(0.6425) q[2];\nrz(0.5911) q[3];\nrz(0.5654) q[4];\nrz(0.5654) q[5];\nh q[0];\nrz(0.1312) q[0];\nh q[0];\nh q[1];\nrz(0.1312) q[1];\nh q[1];\nh q[2];\nrz(0.1312) q[2];\nh q[2];\nh q[3];\nrz(0.1312) q[3];\nh q[3];\nh q[4];\nrz(0.1312) q[4];\nh q[4];\nh q[5];\nrz(0.1312) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.2497) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2497) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2497) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2497) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2497) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2497) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.2497) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.2775) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2497) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2775) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2497) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.2775) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2497) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.2775) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.2775) q[5];\ncx q[4], q[5];\nrz(0.6937) q[1];\nrz(0.6382) q[0];\nrz(0.6937) q[2];\nrz(0.6382) q[3];\nrz(0.6105) q[4];\nrz(0.6105) q[5];\nh q[0];\nrz(0.1584) q[0];\nh q[0];\nh q[1];\nrz(0.1584) q[1];\nh q[1];\nh q[2];\nrz(0.1584) q[2];\nh q[2];\nh q[3];\nrz(0.1584) q[3];\nh q[3];\nh q[4];\nrz(0.1584) q[4];\nh q[4];\nh q[5];\nrz(0.1584) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x3) q[3];\nrz(x4) q[4];\nrz(x4) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x7) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x6) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x7) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x7) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x7) q[5];\ncx q[4], q[5];\nrz(x8) q[1];\nrz(x9) q[0];\nrz(x8) q[2];\nrz(x9) q[3];\nrz(x10) q[4];\nrz(x10) q[5];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["69144809aea48cb46eae9c3950f24a15","graph_isomorphism","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}]}","{\"states\": [60285, 55230], \"expectation_value\": -10.561735082342148, \"params\": [[0.0745, 0.075, 0.0727], [-0.081, -0.0796, -0.0734]], \"bitstrings\": [\"0001010010000010\", \"0010100001000001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00017875548275701202, 0.00018959275094290897], \"optimization_time\": 39.247174978256226}","0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(11) @ Z(1)) + 0.5 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(7)) + 0.25 * (Z(11) @ Z(5)) + 0.25 * (Z(11) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(9)) + 0.25 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(15) @ Z(3)) + 0.5 * (Z(15) @ Z(7)) + 0.25 * (Z(15) @ Z(5)) + 0.25 * (Z(15) @ Z(6)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(15)) + 0.25 * (Z(12) @ Z(1)) + 0.25 * (Z(12) @ Z(3)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.25 * (Z(12) @ Z(11)) + 0.25 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(15)) + 0.5 * (Z(12) @ Z(13)) + 0.25 * (Z(14) @ Z(1)) + 0.5 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(6)) + 0.25 * (Z(14) @ Z(9)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(15)) + 0.5 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(12)) + 3.25 * Z(1) + 2.5 * Z(3) + 2.25 * Z(0) + 2.25 * Z(2) + 2.0 * Z(7) + 2.5 * Z(5) + 3.0 * Z(4) + 2.75 * Z(6) + 3.25 * Z(11) + 2.5 * Z(9) + 2.0 * Z(8) + 2.5 * Z(10) + 2.5 * Z(15) + 2.0 * Z(13) + 3.0 * Z(12) + 2.75 * Z(14)",1,16,3,"{\"smallest_eigenvalues\": [-20.499999999999844], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -20.499999999999787, \"smallest_bitstrings\": [\"0010100001000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[3];\nrz(0.0745) q[3];\ncx q[1], q[3];\ncx q[1], q[0];\nrz(0.0745) q[0];\ncx q[1], q[0];\ncx q[3], q[0];\nrz(0.0745) q[0];\ncx q[3], q[0];\ncx q[1], q[2];\nrz(0.0745) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(0.0745) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.0745) q[2];\ncx q[0], q[2];\ncx q[3], q[7];\nrz(0.0745) q[7];\ncx q[3], q[7];\ncx q[1], q[5];\nrz(0.0745) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(0.0745) q[5];\ncx q[7], q[5];\ncx q[1], q[4];\nrz(0.0372) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0372) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0745) q[4];\ncx q[0], q[4];\ncx q[7], q[4];\nrz(0.0745) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(0.0745) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(0.0372) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0745) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(0.0745) q[6];\ncx q[7], q[6];\ncx q[5], q[6];\nrz(0.0745) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.0745) q[6];\ncx q[4], q[6];\ncx q[1], q[11];\nrz(0.0372) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(0.0745) q[11];\ncx q[3], q[11];\ncx q[2], q[11];\nrz(0.0372) q[11];\ncx q[2], q[11];\ncx q[7], q[11];\nrz(0.0745) q[11];\ncx q[7], q[11];\ncx q[5], q[11];\nrz(0.0372) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(0.0372) q[11];\ncx q[6], q[11];\ncx q[1], q[9];\nrz(0.0745) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(0.0745) q[9];\ncx q[5], q[9];\ncx q[11], q[9];\nrz(0.0745) q[9];\ncx q[11], q[9];\ncx q[0], q[8];\nrz(0.0745) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(0.0745) q[8];\ncx q[4], q[8];\ncx q[11], q[8];\nrz(0.0745) q[8];\ncx q[11], q[8];\ncx q[9], q[8];\nrz(0.0745) q[8];\ncx q[9], q[8];\ncx q[0], q[10];\nrz(0.0372) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(0.0745) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(0.0372) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(0.0745) q[10];\ncx q[6], q[10];\ncx q[11], q[10];\nrz(0.0745) q[10];\ncx q[11], q[10];\ncx q[9], q[10];\nrz(0.0745) q[10];\ncx q[9], q[10];\ncx q[8], q[10];\nrz(0.0745) q[10];\ncx q[8], q[10];\ncx q[3], q[15];\nrz(0.0745) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(0.0745) q[15];\ncx q[7], q[15];\ncx q[5], q[15];\nrz(0.0372) q[15];\ncx q[5], q[15];\ncx q[6], q[15];\nrz(0.0372) q[15];\ncx q[6], q[15];\ncx q[11], q[15];\nrz(0.0745) q[15];\ncx q[11], q[15];\ncx q[1], q[13];\nrz(0.0745) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(0.0745) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(0.0745) q[13];\ncx q[9], q[13];\ncx q[15], q[13];\nrz(0.0745) q[13];\ncx q[15], q[13];\ncx q[1], q[12];\nrz(0.0372) q[12];\ncx q[1], q[12];\ncx q[3], q[12];\nrz(0.0372) q[12];\ncx q[3], q[12];\ncx q[0], q[12];\nrz(0.0745) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(0.0745) q[12];\ncx q[4], q[12];\ncx q[11], q[12];\nrz(0.0372) q[12];\ncx q[11], q[12];\ncx q[9], q[12];\nrz(0.0372) q[12];\ncx q[9], q[12];\ncx q[8], q[12];\nrz(0.0745) q[12];\ncx q[8], q[12];\ncx q[15], q[12];\nrz(0.0745) q[12];\ncx q[15], q[12];\ncx q[13], q[12];\nrz(0.0745) q[12];\ncx q[13], q[12];\ncx q[1], q[14];\nrz(0.0372) q[14];\ncx q[1], q[14];\ncx q[2], q[14];\nrz(0.0745) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(0.0372) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(0.0745) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(0.0372) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(0.0745) q[14];\ncx q[10], q[14];\ncx q[15], q[14];\nrz(0.0745) q[14];\ncx q[15], q[14];\ncx q[13], q[14];\nrz(0.0745) q[14];\ncx q[13], q[14];\ncx q[12], q[14];\nrz(0.0745) q[14];\ncx q[12], q[14];\nrz(0.4842) q[1];\nrz(0.3725) q[3];\nrz(0.3352) q[0];\nrz(0.3352) q[2];\nrz(0.298) q[7];\nrz(0.3725) q[5];\nrz(0.447) q[4];\nrz(0.4098) q[6];\nrz(0.4842) q[11];\nrz(0.3725) q[9];\nrz(0.298) q[8];\nrz(0.3725) q[10];\nrz(0.3725) q[15];\nrz(0.298) q[13];\nrz(0.447) q[12];\nrz(0.4098) q[14];\nh q[0];\nrz(-0.162) q[0];\nh q[0];\nh q[1];\nrz(-0.162) q[1];\nh q[1];\nh q[2];\nrz(-0.162) q[2];\nh q[2];\nh q[3];\nrz(-0.162) q[3];\nh q[3];\nh q[4];\nrz(-0.162) q[4];\nh q[4];\nh q[5];\nrz(-0.162) q[5];\nh q[5];\nh q[6];\nrz(-0.162) q[6];\nh q[6];\nh q[7];\nrz(-0.162) q[7];\nh q[7];\nh q[8];\nrz(-0.162) q[8];\nh q[8];\nh q[9];\nrz(-0.162) q[9];\nh q[9];\nh q[10];\nrz(-0.162) q[10];\nh q[10];\nh q[11];\nrz(-0.162) q[11];\nh q[11];\nh q[12];\nrz(-0.162) q[12];\nh q[12];\nh q[13];\nrz(-0.162) q[13];\nh q[13];\nh q[14];\nrz(-0.162) q[14];\nh q[14];\nh q[15];\nrz(-0.162) q[15];\nh q[15];\ncx q[1], q[3];\nrz(0.075) q[3];\ncx q[1], q[3];\ncx q[1], q[0];\nrz(0.075) q[0];\ncx q[1], q[0];\ncx q[3], q[0];\nrz(0.075) q[0];\ncx q[3], q[0];\ncx q[1], q[2];\nrz(0.075) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(0.075) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.075) q[2];\ncx q[0], q[2];\ncx q[3], q[7];\nrz(0.075) q[7];\ncx q[3], q[7];\ncx q[1], q[5];\nrz(0.075) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(0.075) q[5];\ncx q[7], q[5];\ncx q[1], q[4];\nrz(0.0375) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0375) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.075) q[4];\ncx q[0], q[4];\ncx q[7], q[4];\nrz(0.075) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(0.075) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(0.0375) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.075) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(0.075) q[6];\ncx q[7], q[6];\ncx q[5], q[6];\nrz(0.075) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.075) q[6];\ncx q[4], q[6];\ncx q[1], q[11];\nrz(0.0375) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(0.075) q[11];\ncx q[3], q[11];\ncx q[2], q[11];\nrz(0.0375) q[11];\ncx q[2], q[11];\ncx q[7], q[11];\nrz(0.075) q[11];\ncx q[7], q[11];\ncx q[5], q[11];\nrz(0.0375) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(0.0375) q[11];\ncx q[6], q[11];\ncx q[1], q[9];\nrz(0.075) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(0.075) q[9];\ncx q[5], q[9];\ncx q[11], q[9];\nrz(0.075) q[9];\ncx q[11], q[9];\ncx q[0], q[8];\nrz(0.075) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(0.075) q[8];\ncx q[4], q[8];\ncx q[11], q[8];\nrz(0.075) q[8];\ncx q[11], q[8];\ncx q[9], q[8];\nrz(0.075) q[8];\ncx q[9], q[8];\ncx q[0], q[10];\nrz(0.0375) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(0.075) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(0.0375) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(0.075) q[10];\ncx q[6], q[10];\ncx q[11], q[10];\nrz(0.075) q[10];\ncx q[11], q[10];\ncx q[9], q[10];\nrz(0.075) q[10];\ncx q[9], q[10];\ncx q[8], q[10];\nrz(0.075) q[10];\ncx q[8], q[10];\ncx q[3], q[15];\nrz(0.075) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(0.075) q[15];\ncx q[7], q[15];\ncx q[5], q[15];\nrz(0.0375) q[15];\ncx q[5], q[15];\ncx q[6], q[15];\nrz(0.0375) q[15];\ncx q[6], q[15];\ncx q[11], q[15];\nrz(0.075) q[15];\ncx q[11], q[15];\ncx q[1], q[13];\nrz(0.075) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(0.075) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(0.075) q[13];\ncx q[9], q[13];\ncx q[15], q[13];\nrz(0.075) q[13];\ncx q[15], q[13];\ncx q[1], q[12];\nrz(0.0375) q[12];\ncx q[1], q[12];\ncx q[3], q[12];\nrz(0.0375) q[12];\ncx q[3], q[12];\ncx q[0], q[12];\nrz(0.075) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(0.075) q[12];\ncx q[4], q[12];\ncx q[11], q[12];\nrz(0.0375) q[12];\ncx q[11], q[12];\ncx q[9], q[12];\nrz(0.0375) q[12];\ncx q[9], q[12];\ncx q[8], q[12];\nrz(0.075) q[12];\ncx q[8], q[12];\ncx q[15], q[12];\nrz(0.075) q[12];\ncx q[15], q[12];\ncx q[13], q[12];\nrz(0.075) q[12];\ncx q[13], q[12];\ncx q[1], q[14];\nrz(0.0375) q[14];\ncx q[1], q[14];\ncx q[2], q[14];\nrz(0.075) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(0.0375) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(0.075) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(0.0375) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(0.075) q[14];\ncx q[10], q[14];\ncx q[15], q[14];\nrz(0.075) q[14];\ncx q[15], q[14];\ncx q[13], q[14];\nrz(0.075) q[14];\ncx q[13], q[14];\ncx q[12], q[14];\nrz(0.075) q[14];\ncx q[12], q[14];\nrz(0.4875) q[1];\nrz(0.375) q[3];\nrz(0.3375) q[0];\nrz(0.3375) q[2];\nrz(0.3) q[7];\nrz(0.375) q[5];\nrz(0.45) q[4];\nrz(0.4125) q[6];\nrz(0.4875) q[11];\nrz(0.375) q[9];\nrz(0.3) q[8];\nrz(0.375) q[10];\nrz(0.375) q[15];\nrz(0.3) q[13];\nrz(0.45) q[12];\nrz(0.4125) q[14];\nh q[0];\nrz(-0.1592) q[0];\nh q[0];\nh q[1];\nrz(-0.1592) q[1];\nh q[1];\nh q[2];\nrz(-0.1592) q[2];\nh q[2];\nh q[3];\nrz(-0.1592) q[3];\nh q[3];\nh q[4];\nrz(-0.1592) q[4];\nh q[4];\nh q[5];\nrz(-0.1592) q[5];\nh q[5];\nh q[6];\nrz(-0.1592) q[6];\nh q[6];\nh q[7];\nrz(-0.1592) q[7];\nh q[7];\nh q[8];\nrz(-0.1592) q[8];\nh q[8];\nh q[9];\nrz(-0.1592) q[9];\nh q[9];\nh q[10];\nrz(-0.1592) q[10];\nh q[10];\nh q[11];\nrz(-0.1592) q[11];\nh q[11];\nh q[12];\nrz(-0.1592) q[12];\nh q[12];\nh q[13];\nrz(-0.1592) q[13];\nh q[13];\nh q[14];\nrz(-0.1592) q[14];\nh q[14];\nh q[15];\nrz(-0.1592) q[15];\nh q[15];\ncx q[1], q[3];\nrz(0.0727) q[3];\ncx q[1], q[3];\ncx q[1], q[0];\nrz(0.0727) q[0];\ncx q[1], q[0];\ncx q[3], q[0];\nrz(0.0727) q[0];\ncx q[3], q[0];\ncx q[1], q[2];\nrz(0.0727) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(0.0727) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.0727) q[2];\ncx q[0], q[2];\ncx q[3], q[7];\nrz(0.0727) q[7];\ncx q[3], q[7];\ncx q[1], q[5];\nrz(0.0727) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(0.0727) q[5];\ncx q[7], q[5];\ncx q[1], q[4];\nrz(0.0364) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0364) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0727) q[4];\ncx q[0], q[4];\ncx q[7], q[4];\nrz(0.0727) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(0.0727) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(0.0364) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0727) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(0.0727) q[6];\ncx q[7], q[6];\ncx q[5], q[6];\nrz(0.0727) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.0727) q[6];\ncx q[4], q[6];\ncx q[1], q[11];\nrz(0.0364) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(0.0727) q[11];\ncx q[3], q[11];\ncx q[2], q[11];\nrz(0.0364) q[11];\ncx q[2], q[11];\ncx q[7], q[11];\nrz(0.0727) q[11];\ncx q[7], q[11];\ncx q[5], q[11];\nrz(0.0364) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(0.0364) q[11];\ncx q[6], q[11];\ncx q[1], q[9];\nrz(0.0727) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(0.0727) q[9];\ncx q[5], q[9];\ncx q[11], q[9];\nrz(0.0727) q[9];\ncx q[11], q[9];\ncx q[0], q[8];\nrz(0.0727) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(0.0727) q[8];\ncx q[4], q[8];\ncx q[11], q[8];\nrz(0.0727) q[8];\ncx q[11], q[8];\ncx q[9], q[8];\nrz(0.0727) q[8];\ncx q[9], q[8];\ncx q[0], q[10];\nrz(0.0364) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(0.0727) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(0.0364) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(0.0727) q[10];\ncx q[6], q[10];\ncx q[11], q[10];\nrz(0.0727) q[10];\ncx q[11], q[10];\ncx q[9], q[10];\nrz(0.0727) q[10];\ncx q[9], q[10];\ncx q[8], q[10];\nrz(0.0727) q[10];\ncx q[8], q[10];\ncx q[3], q[15];\nrz(0.0727) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(0.0727) q[15];\ncx q[7], q[15];\ncx q[5], q[15];\nrz(0.0364) q[15];\ncx q[5], q[15];\ncx q[6], q[15];\nrz(0.0364) q[15];\ncx q[6], q[15];\ncx q[11], q[15];\nrz(0.0727) q[15];\ncx q[11], q[15];\ncx q[1], q[13];\nrz(0.0727) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(0.0727) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(0.0727) q[13];\ncx q[9], q[13];\ncx q[15], q[13];\nrz(0.0727) q[13];\ncx q[15], q[13];\ncx q[1], q[12];\nrz(0.0364) q[12];\ncx q[1], q[12];\ncx q[3], q[12];\nrz(0.0364) q[12];\ncx q[3], q[12];\ncx q[0], q[12];\nrz(0.0727) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(0.0727) q[12];\ncx q[4], q[12];\ncx q[11], q[12];\nrz(0.0364) q[12];\ncx q[11], q[12];\ncx q[9], q[12];\nrz(0.0364) q[12];\ncx q[9], q[12];\ncx q[8], q[12];\nrz(0.0727) q[12];\ncx q[8], q[12];\ncx q[15], q[12];\nrz(0.0727) q[12];\ncx q[15], q[12];\ncx q[13], q[12];\nrz(0.0727) q[12];\ncx q[13], q[12];\ncx q[1], q[14];\nrz(0.0364) q[14];\ncx q[1], q[14];\ncx q[2], q[14];\nrz(0.0727) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(0.0364) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(0.0727) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(0.0364) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(0.0727) q[14];\ncx q[10], q[14];\ncx q[15], q[14];\nrz(0.0727) q[14];\ncx q[15], q[14];\ncx q[13], q[14];\nrz(0.0727) q[14];\ncx q[13], q[14];\ncx q[12], q[14];\nrz(0.0727) q[14];\ncx q[12], q[14];\nrz(0.4726) q[1];\nrz(0.3635) q[3];\nrz(0.3271) q[0];\nrz(0.3271) q[2];\nrz(0.2908) q[7];\nrz(0.3635) q[5];\nrz(0.4362) q[4];\nrz(0.3998) q[6];\nrz(0.4726) q[11];\nrz(0.3635) q[9];\nrz(0.2908) q[8];\nrz(0.3635) q[10];\nrz(0.3635) q[15];\nrz(0.2908) q[13];\nrz(0.4362) q[12];\nrz(0.3998) q[14];\nh q[0];\nrz(-0.1468) q[0];\nh q[0];\nh q[1];\nrz(-0.1468) q[1];\nh q[1];\nh q[2];\nrz(-0.1468) q[2];\nh q[2];\nh q[3];\nrz(-0.1468) q[3];\nh q[3];\nh q[4];\nrz(-0.1468) q[4];\nh q[4];\nh q[5];\nrz(-0.1468) q[5];\nh q[5];\nh q[6];\nrz(-0.1468) q[6];\nh q[6];\nh q[7];\nrz(-0.1468) q[7];\nh q[7];\nh q[8];\nrz(-0.1468) q[8];\nh q[8];\nh q[9];\nrz(-0.1468) q[9];\nh q[9];\nh q[10];\nrz(-0.1468) q[10];\nh q[10];\nh q[11];\nrz(-0.1468) q[11];\nh q[11];\nh q[12];\nrz(-0.1468) q[12];\nh q[12];\nh q[13];\nrz(-0.1468) q[13];\nh q[13];\nh q[14];\nrz(-0.1468) q[14];\nh q[14];\nh q[15];\nrz(-0.1468) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[11];\nrz(x1) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(x0) q[11];\ncx q[3], q[11];\ncx q[2], q[11];\nrz(x1) q[11];\ncx q[2], q[11];\ncx q[7], q[11];\nrz(x0) q[11];\ncx q[7], q[11];\ncx q[5], q[11];\nrz(x1) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(x1) q[11];\ncx q[6], q[11];\ncx q[1], q[9];\nrz(x0) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(x0) q[9];\ncx q[5], q[9];\ncx q[11], q[9];\nrz(x0) q[9];\ncx q[11], q[9];\ncx q[0], q[8];\nrz(x0) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[11], q[8];\nrz(x0) q[8];\ncx q[11], q[8];\ncx q[9], q[8];\nrz(x0) q[8];\ncx q[9], q[8];\ncx q[0], q[10];\nrz(x1) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(x0) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x1) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x0) q[10];\ncx q[6], q[10];\ncx q[11], q[10];\nrz(x0) q[10];\ncx q[11], q[10];\ncx q[9], q[10];\nrz(x0) q[10];\ncx q[9], q[10];\ncx q[8], q[10];\nrz(x0) q[10];\ncx q[8], q[10];\ncx q[3], q[15];\nrz(x0) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(x0) q[15];\ncx q[7], q[15];\ncx q[5], q[15];\nrz(x1) q[15];\ncx q[5], q[15];\ncx q[6], q[15];\nrz(x1) q[15];\ncx q[6], q[15];\ncx q[11], q[15];\nrz(x0) q[15];\ncx q[11], q[15];\ncx q[1], q[13];\nrz(x0) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(x0) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x0) q[13];\ncx q[9], q[13];\ncx q[15], q[13];\nrz(x0) q[13];\ncx q[15], q[13];\ncx q[1], q[12];\nrz(x1) q[12];\ncx q[1], q[12];\ncx q[3], q[12];\nrz(x1) q[12];\ncx q[3], q[12];\ncx q[0], q[12];\nrz(x0) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x0) q[12];\ncx q[4], q[12];\ncx q[11], q[12];\nrz(x1) q[12];\ncx q[11], q[12];\ncx q[9], q[12];\nrz(x1) q[12];\ncx q[9], q[12];\ncx q[8], q[12];\nrz(x0) q[12];\ncx q[8], q[12];\ncx q[15], q[12];\nrz(x0) q[12];\ncx q[15], q[12];\ncx q[13], q[12];\nrz(x0) q[12];\ncx q[13], q[12];\ncx q[1], q[14];\nrz(x1) q[14];\ncx q[1], q[14];\ncx q[2], q[14];\nrz(x0) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(x1) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(x0) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(x1) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x0) q[14];\ncx q[10], q[14];\ncx q[15], q[14];\nrz(x0) q[14];\ncx q[15], q[14];\ncx q[13], q[14];\nrz(x0) q[14];\ncx q[13], q[14];\ncx q[12], q[14];\nrz(x0) q[14];\ncx q[12], q[14];\nrz(x2) q[1];\nrz(x3) q[3];\nrz(x4) q[0];\nrz(x4) q[2];\nrz(x5) q[7];\nrz(x3) q[5];\nrz(x6) q[4];\nrz(x7) q[6];\nrz(x2) q[11];\nrz(x3) q[9];\nrz(x5) q[8];\nrz(x3) q[10];\nrz(x3) q[15];\nrz(x5) q[13];\nrz(x6) q[12];\nrz(x7) q[14];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\nh q[9];\nrz(x8) q[9];\nh q[9];\nh q[10];\nrz(x8) q[10];\nh q[10];\nh q[11];\nrz(x8) q[11];\nh q[11];\nh q[12];\nrz(x8) q[12];\nh q[12];\nh q[13];\nrz(x8) q[13];\nh q[13];\nh q[14];\nrz(x8) q[14];\nh q[14];\nh q[15];\nrz(x8) q[15];\nh q[15];\ncx q[1], q[3];\nrz(x9) q[3];\ncx q[1], q[3];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[3], q[0];\nrz(x9) q[0];\ncx q[3], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x9) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[3], q[7];\nrz(x9) q[7];\ncx q[3], q[7];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x9) q[5];\ncx q[7], q[5];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[7], q[4];\nrz(x9) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(x9) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(x10) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(x9) q[6];\ncx q[7], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[1], q[11];\nrz(x10) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(x9) q[11];\ncx q[3], q[11];\ncx q[2], q[11];\nrz(x10) q[11];\ncx q[2], q[11];\ncx q[7], q[11];\nrz(x9) q[11];\ncx q[7], q[11];\ncx q[5], q[11];\nrz(x10) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(x10) q[11];\ncx q[6], q[11];\ncx q[1], q[9];\nrz(x9) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(x9) q[9];\ncx q[5], q[9];\ncx q[11], q[9];\nrz(x9) q[9];\ncx q[11], q[9];\ncx q[0], q[8];\nrz(x9) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x9) q[8];\ncx q[4], q[8];\ncx q[11], q[8];\nrz(x9) q[8];\ncx q[11], q[8];\ncx q[9], q[8];\nrz(x9) q[8];\ncx q[9], q[8];\ncx q[0], q[10];\nrz(x10) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(x9) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x10) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x9) q[10];\ncx q[6], q[10];\ncx q[11], q[10];\nrz(x9) q[10];\ncx q[11], q[10];\ncx q[9], q[10];\nrz(x9) q[10];\ncx q[9], q[10];\ncx q[8], q[10];\nrz(x9) q[10];\ncx q[8], q[10];\ncx q[3], q[15];\nrz(x9) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(x9) q[15];\ncx q[7], q[15];\ncx q[5], q[15];\nrz(x10) q[15];\ncx q[5], q[15];\ncx q[6], q[15];\nrz(x10) q[15];\ncx q[6], q[15];\ncx q[11], q[15];\nrz(x9) q[15];\ncx q[11], q[15];\ncx q[1], q[13];\nrz(x9) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(x9) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x9) q[13];\ncx q[9], q[13];\ncx q[15], q[13];\nrz(x9) q[13];\ncx q[15], q[13];\ncx q[1], q[12];\nrz(x10) q[12];\ncx q[1], q[12];\ncx q[3], q[12];\nrz(x10) q[12];\ncx q[3], q[12];\ncx q[0], q[12];\nrz(x9) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x9) q[12];\ncx q[4], q[12];\ncx q[11], q[12];\nrz(x10) q[12];\ncx q[11], q[12];\ncx q[9], q[12];\nrz(x10) q[12];\ncx q[9], q[12];\ncx q[8], q[12];\nrz(x9) q[12];\ncx q[8], q[12];\ncx q[15], q[12];\nrz(x9) q[12];\ncx q[15], q[12];\ncx q[13], q[12];\nrz(x9) q[12];\ncx q[13], q[12];\ncx q[1], q[14];\nrz(x10) q[14];\ncx q[1], q[14];\ncx q[2], q[14];\nrz(x9) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(x10) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(x9) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(x10) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x9) q[14];\ncx q[10], q[14];\ncx q[15], q[14];\nrz(x9) q[14];\ncx q[15], q[14];\ncx q[13], q[14];\nrz(x9) q[14];\ncx q[13], q[14];\ncx q[12], q[14];\nrz(x9) q[14];\ncx q[12], q[14];\nrz(x11) q[1];\nrz(x12) q[3];\nrz(x13) q[0];\nrz(x13) q[2];\nrz(x14) q[7];\nrz(x12) q[5];\nrz(x15) q[4];\nrz(x16) q[6];\nrz(x11) q[11];\nrz(x12) q[9];\nrz(x14) q[8];\nrz(x12) q[10];\nrz(x12) q[15];\nrz(x14) q[13];\nrz(x15) q[12];\nrz(x16) q[14];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nh q[8];\nrz(x17) q[8];\nh q[8];\nh q[9];\nrz(x17) q[9];\nh q[9];\nh q[10];\nrz(x17) q[10];\nh q[10];\nh q[11];\nrz(x17) q[11];\nh q[11];\nh q[12];\nrz(x17) q[12];\nh q[12];\nh q[13];\nrz(x17) q[13];\nh q[13];\nh q[14];\nrz(x17) q[14];\nh q[14];\nh q[15];\nrz(x17) q[15];\nh q[15];\ncx q[1], q[3];\nrz(x18) q[3];\ncx q[1], q[3];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[3], q[0];\nrz(x18) q[0];\ncx q[3], q[0];\ncx q[1], q[2];\nrz(x18) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x18) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x18) q[2];\ncx q[0], q[2];\ncx q[3], q[7];\nrz(x18) q[7];\ncx q[3], q[7];\ncx q[1], q[5];\nrz(x18) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x18) q[5];\ncx q[7], q[5];\ncx q[1], q[4];\nrz(x19) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x19) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x18) q[4];\ncx q[0], q[4];\ncx q[7], q[4];\nrz(x18) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(x18) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(x19) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x18) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(x18) q[6];\ncx q[7], q[6];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x18) q[6];\ncx q[4], q[6];\ncx q[1], q[11];\nrz(x19) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(x18) q[11];\ncx q[3], q[11];\ncx q[2], q[11];\nrz(x19) q[11];\ncx q[2], q[11];\ncx q[7], q[11];\nrz(x18) q[11];\ncx q[7], q[11];\ncx q[5], q[11];\nrz(x19) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(x19) q[11];\ncx q[6], q[11];\ncx q[1], q[9];\nrz(x18) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(x18) q[9];\ncx q[5], q[9];\ncx q[11], q[9];\nrz(x18) q[9];\ncx q[11], q[9];\ncx q[0], q[8];\nrz(x18) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x18) q[8];\ncx q[4], q[8];\ncx q[11], q[8];\nrz(x18) q[8];\ncx q[11], q[8];\ncx q[9], q[8];\nrz(x18) q[8];\ncx q[9], q[8];\ncx q[0], q[10];\nrz(x19) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(x18) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x19) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x18) q[10];\ncx q[6], q[10];\ncx q[11], q[10];\nrz(x18) q[10];\ncx q[11], q[10];\ncx q[9], q[10];\nrz(x18) q[10];\ncx q[9], q[10];\ncx q[8], q[10];\nrz(x18) q[10];\ncx q[8], q[10];\ncx q[3], q[15];\nrz(x18) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(x18) q[15];\ncx q[7], q[15];\ncx q[5], q[15];\nrz(x19) q[15];\ncx q[5], q[15];\ncx q[6], q[15];\nrz(x19) q[15];\ncx q[6], q[15];\ncx q[11], q[15];\nrz(x18) q[15];\ncx q[11], q[15];\ncx q[1], q[13];\nrz(x18) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(x18) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x18) q[13];\ncx q[9], q[13];\ncx q[15], q[13];\nrz(x18) q[13];\ncx q[15], q[13];\ncx q[1], q[12];\nrz(x19) q[12];\ncx q[1], q[12];\ncx q[3], q[12];\nrz(x19) q[12];\ncx q[3], q[12];\ncx q[0], q[12];\nrz(x18) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x18) q[12];\ncx q[4], q[12];\ncx q[11], q[12];\nrz(x19) q[12];\ncx q[11], q[12];\ncx q[9], q[12];\nrz(x19) q[12];\ncx q[9], q[12];\ncx q[8], q[12];\nrz(x18) q[12];\ncx q[8], q[12];\ncx q[15], q[12];\nrz(x18) q[12];\ncx q[15], q[12];\ncx q[13], q[12];\nrz(x18) q[12];\ncx q[13], q[12];\ncx q[1], q[14];\nrz(x19) q[14];\ncx q[1], q[14];\ncx q[2], q[14];\nrz(x18) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(x19) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(x18) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(x19) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x18) q[14];\ncx q[10], q[14];\ncx q[15], q[14];\nrz(x18) q[14];\ncx q[15], q[14];\ncx q[13], q[14];\nrz(x18) q[14];\ncx q[13], q[14];\ncx q[12], q[14];\nrz(x18) q[14];\ncx q[12], q[14];\nrz(x20) q[1];\nrz(x21) q[3];\nrz(x22) q[0];\nrz(x22) q[2];\nrz(x23) q[7];\nrz(x21) q[5];\nrz(x24) q[4];\nrz(x25) q[6];\nrz(x20) q[11];\nrz(x21) q[9];\nrz(x23) q[8];\nrz(x21) q[10];\nrz(x21) q[15];\nrz(x23) q[13];\nrz(x24) q[12];\nrz(x25) q[14];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nh q[8];\nrz(x26) q[8];\nh q[8];\nh q[9];\nrz(x26) q[9];\nh q[9];\nh q[10];\nrz(x26) q[10];\nh q[10];\nh q[11];\nrz(x26) q[11];\nh q[11];\nh q[12];\nrz(x26) q[12];\nh q[12];\nh q[13];\nrz(x26) q[13];\nh q[13];\nh q[14];\nrz(x26) q[14];\nh q[14];\nh q[15];\nrz(x26) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 3}, {\"id\": 1}, {\"id\": 0}, {\"id\": 2}], \"edges\": [{\"source\": 3, \"target\": 0}, {\"source\": 1, \"target\": 0}, {\"source\": 1, \"target\": 2}]}}","{\"circuits\": [], \"gradients\": []}"]
["d64cdfb0330688360d8e7e9aacc7d340","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 3}, {\"weight\": 12, \"source\": 0, \"target\": 5}, {\"weight\": 11, \"source\": 1, \"target\": 6}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 17, \"source\": 2, \"target\": 7}, {\"weight\": 14, \"source\": 2, \"target\": 5}, {\"weight\": 10, \"source\": 4, \"target\": 5}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [430, 236], \"expectation_value\": -8.628271198226217, \"params\": [[0.054], [-0.0685]], \"bitstrings\": [\"001010001\", \"100010011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004115816120709028, 0.004447460458948689], \"optimization_time\": 1.8480730056762695}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 12.0 * Z(1) + 9.5 * Z(0) + 15.0 * Z(2) + 5.5 * Z(3) + 6.0 * Z(4) + 16.0 * Z(5) + 13.0 * Z(6) + 5.0 * Z(7) + 3.5 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-69.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -61.0, \"smallest_bitstrings\": [\"100010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.486) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.486) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.486) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.486) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.486) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(0.486) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.486) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(0.486) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.486) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.486) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.486) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(0.486) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(0.486) q[8];\ncx q[6], q[8];\nrz(1.296) q[1];\nrz(1.026) q[0];\nrz(1.62) q[2];\nrz(0.594) q[3];\nrz(0.648) q[4];\nrz(1.728) q[5];\nrz(1.404) q[6];\nrz(0.54) q[7];\nrz(0.378) q[8];\nh q[0];\nrz(-0.137) q[0];\nh q[0];\nh q[1];\nrz(-0.137) q[1];\nh q[1];\nh q[2];\nrz(-0.137) q[2];\nh q[2];\nh q[3];\nrz(-0.137) q[3];\nh q[3];\nh q[4];\nrz(-0.137) q[4];\nh q[4];\nh q[5];\nrz(-0.137) q[5];\nh q[5];\nh q[6];\nrz(-0.137) q[6];\nh q[6];\nh q[7];\nrz(-0.137) q[7];\nh q[7];\nh q[8];\nrz(-0.137) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["8fa85228f1ab3b361f2e7e3b3150e795","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 9}]}","{\"states\": [0, 487], \"expectation_value\": -10.637355200059233, \"params\": [-0.5003000000000001, 0.8972, 0.3383, 0.8901, 0.5092, 0.9048, -0.4263, 0.9632000000000001, -0.49060000000000004, 0.9045000000000001, 0.3371, 0.9979, -0.5241, 0.9749000000000001, 0.4283, 1.0352000000000001, -0.2361, 0.6686000000000001, -0.066, 0.7554000000000001, -0.15860000000000002, 0.6978000000000001, -0.0383, 0.6981, -0.5062, 0.929, 0.468, 1.0919, -0.5252, 0.9793000000000001, -0.3749, 1.0131000000000001, -0.4771, 0.9955, -0.3733, 1.116, 0.2753, 0.7161000000000001, -0.2541, 0.6794, -0.3709, 0.738, 0.2652, 0.7063, 0.4147, 0.9167000000000001, -0.23950000000000002, 0.7132000000000001, 0.44370000000000004, 0.9463, -0.186, 0.7835000000000001, 0.1947, 0.547, -0.0128, 0.5633, 0.12940000000000002, 0.509, -0.0181, 0.6384000000000001, 0.5127, 0.7859, -0.254, 0.785, 0.4989, 0.7745000000000001, -0.19340000000000002, 0.8381000000000001, 0.4685, 1.0370000000000001, -0.21350000000000002, 0.9399000000000001, 0.217, 0.6009, -0.051300000000000005, 0.3633, -0.3234, 0.36200000000000004, 0.093, 0.5474, 0.1481, 0.6960000000000001, 0.0122, 0.7325, 0.1409, 0.5956, 0.0402, 0.4363, -0.0323, 0.5813, -0.0051, 0.4163, -0.0102, 0.7106, -0.0176, 0.41250000000000003, 0.1887, 0.7249, -0.08420000000000001, 0.9062, -0.0608, 0.9878, -0.11040000000000001, 0.8954000000000001, -0.048, 0.8675, -0.1497, 0.8411000000000001, 0.15230000000000002, 0.27040000000000003, -0.22190000000000001, 0.0036000000000000003, -0.15080000000000002, 0.47840000000000005, 0.0548, 0.0012000000000000001, 0.1497, 0.533, -0.0994, 0.003, 0.1448, 0.1326, -0.0397, 0.007, -0.0585, 0.3957, -0.013900000000000001, 0.0092, -0.0273, 0.2868, -0.0109, 0.0029000000000000002, 0.2887, 0.7577, -0.07, 0.0039000000000000003, 0.1623, 0.8082, -0.0224, 0.0082, 0.0874, 0.7459, 0.0057, 0.0031000000000000003, 0.4325, -0.6088, 0.4728, 0.6034, 0.0252, 0.013600000000000001, 0.3373, 0.309, 0.4174, 1.0178, -1.038, 0.48510000000000003, 0.9098, -0.0333, -0.024300000000000002, 0.2122, 0.3013, 0.2902, 0.021, 0.1174, 0.251, -0.2069, 0.0049, 0.0036000000000000003, 0.149, 0.3511, 0.36160000000000003, -0.19940000000000002, 0.1424, -0.2627, -0.010700000000000001, -0.0417, -0.0284, -0.22510000000000002, -0.1368, -0.16], \"bitstrings\": [\"111111111\", \"000011000\"], \"total_optimization_steps\": 150, \"probabilities\": [0.3038557000868379, 0.6093952438573208], \"optimization_time\": 110.6929988861084}","-1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7)",6,9,4,"{\"smallest_eigenvalues\": [-13.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -10.5, \"smallest_bitstrings\": [\"000011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(-0.5003) q[0];\nrz(0.8972) q[0];\nrx(0.5092) q[1];\nrz(0.9048) q[1];\nrx(-0.4906) q[2];\nrz(0.9045) q[2];\nrx(-0.5241) q[3];\nrz(0.9749) q[3];\nrx(-0.2361) q[4];\nrz(0.6686) q[4];\nrx(-0.1586) q[5];\nrz(0.6978) q[5];\nrx(-0.5062) q[6];\nrz(0.929) q[6];\nrx(-0.5252) q[7];\nrz(0.9793) q[7];\nrx(-0.4771) q[8];\nrz(0.9955) q[8];\ncrx(0.309) q[8], q[7];\ncrx(0.3373) q[8], q[6];\ncrx(0.0136) q[8], q[5];\ncrx(0.0252) q[8], q[4];\ncrx(0.6034) q[8], q[3];\ncrx(0.4728) q[8], q[2];\ncrx(-0.6088) q[8], q[1];\ncrx(0.4325) q[8], q[0];\ncrx(0.4174) q[7], q[8];\ncrx(0.3373) q[7], q[6];\ncrx(0.0136) q[7], q[5];\ncrx(0.0252) q[7], q[4];\ncrx(0.6034) q[7], q[3];\ncrx(0.4728) q[7], q[2];\ncrx(-0.6088) q[7], q[1];\ncrx(0.4325) q[7], q[0];\ncrx(0.4174) q[6], q[8];\ncrx(0.309) q[6], q[7];\ncrx(0.0136) q[6], q[5];\ncrx(0.0252) q[6], q[4];\ncrx(0.6034) q[6], q[3];\ncrx(0.4728) q[6], q[2];\ncrx(-0.6088) q[6], q[1];\ncrx(0.4325) q[6], q[0];\ncrx(0.4174) q[5], q[8];\ncrx(0.309) q[5], q[7];\ncrx(0.3373) q[5], q[6];\ncrx(0.0252) q[5], q[4];\ncrx(0.6034) q[5], q[3];\ncrx(0.4728) q[5], q[2];\ncrx(-0.6088) q[5], q[1];\ncrx(0.4325) q[5], q[0];\ncrx(0.4174) q[4], q[8];\ncrx(0.309) q[4], q[7];\ncrx(0.3373) q[4], q[6];\ncrx(0.0136) q[4], q[5];\ncrx(0.6034) q[4], q[3];\ncrx(0.4728) q[4], q[2];\ncrx(-0.6088) q[4], q[1];\ncrx(0.4325) q[4], q[0];\ncrx(0.4174) q[3], q[8];\ncrx(0.309) q[3], q[7];\ncrx(0.3373) q[3], q[6];\ncrx(0.0136) q[3], q[5];\ncrx(0.0252) q[3], q[4];\ncrx(0.4728) q[3], q[2];\ncrx(-0.6088) q[3], q[1];\ncrx(0.4325) q[3], q[0];\ncrx(0.4174) q[2], q[8];\ncrx(0.309) q[2], q[7];\ncrx(0.3373) q[2], q[6];\ncrx(0.0136) q[2], q[5];\ncrx(0.0252) q[2], q[4];\ncrx(0.6034) q[2], q[3];\ncrx(-0.6088) q[2], q[1];\ncrx(0.4325) q[2], q[0];\ncrx(0.4174) q[1], q[8];\ncrx(0.309) q[1], q[7];\ncrx(0.3373) q[1], q[6];\ncrx(0.0136) q[1], q[5];\ncrx(0.0252) q[1], q[4];\ncrx(0.6034) q[1], q[3];\ncrx(0.4728) q[1], q[2];\ncrx(0.4325) q[1], q[0];\ncrx(0.4174) q[0], q[8];\ncrx(0.309) q[0], q[7];\ncrx(0.3373) q[0], q[6];\ncrx(0.0136) q[0], q[5];\ncrx(0.0252) q[0], q[4];\ncrx(0.6034) q[0], q[3];\ncrx(0.4728) q[0], q[2];\ncrx(-0.6088) q[0], q[1];\nrx(0.3383) q[0];\nrz(0.8901) q[0];\nrx(-0.4263) q[1];\nrz(0.9632) q[1];\nrx(0.3371) q[2];\nrz(0.9979) q[2];\nrx(0.4283) q[3];\nrz(1.0352) q[3];\nrx(-0.066) q[4];\nrz(0.7554) q[4];\nrx(-0.0383) q[5];\nrz(0.6981) q[5];\nrx(0.468) q[6];\nrz(1.0919) q[6];\nrx(-0.3749) q[7];\nrz(1.0131) q[7];\nrx(-0.3733) q[8];\nrz(1.116) q[8];\nrx(0.2753) q[0];\nrz(0.7161) q[0];\nrx(-0.3709) q[1];\nrz(0.738) q[1];\nrx(0.4147) q[2];\nrz(0.9167) q[2];\nrx(0.4437) q[3];\nrz(0.9463) q[3];\nrx(0.1947) q[4];\nrz(0.547) q[4];\nrx(0.1294) q[5];\nrz(0.509) q[5];\nrx(0.5127) q[6];\nrz(0.7859) q[6];\nrx(0.4989) q[7];\nrz(0.7745) q[7];\nrx(0.4685) q[8];\nrz(1.037) q[8];\ncrx(0.3013) q[8], q[7];\ncrx(0.2122) q[8], q[6];\ncrx(-0.0243) q[8], q[5];\ncrx(-0.0333) q[8], q[4];\ncrx(0.9098) q[8], q[3];\ncrx(0.4851) q[8], q[2];\ncrx(-1.038) q[8], q[1];\ncrx(1.0178) q[8], q[0];\ncrx(0.2902) q[7], q[8];\ncrx(0.2122) q[7], q[6];\ncrx(-0.0243) q[7], q[5];\ncrx(-0.0333) q[7], q[4];\ncrx(0.9098) q[7], q[3];\ncrx(0.4851) q[7], q[2];\ncrx(-1.038) q[7], q[1];\ncrx(1.0178) q[7], q[0];\ncrx(0.2902) q[6], q[8];\ncrx(0.3013) q[6], q[7];\ncrx(-0.0243) q[6], q[5];\ncrx(-0.0333) q[6], q[4];\ncrx(0.9098) q[6], q[3];\ncrx(0.4851) q[6], q[2];\ncrx(-1.038) q[6], q[1];\ncrx(1.0178) q[6], q[0];\ncrx(0.2902) q[5], q[8];\ncrx(0.3013) q[5], q[7];\ncrx(0.2122) q[5], q[6];\ncrx(-0.0333) q[5], q[4];\ncrx(0.9098) q[5], q[3];\ncrx(0.4851) q[5], q[2];\ncrx(-1.038) q[5], q[1];\ncrx(1.0178) q[5], q[0];\ncrx(0.2902) q[4], q[8];\ncrx(0.3013) q[4], q[7];\ncrx(0.2122) q[4], q[6];\ncrx(-0.0243) q[4], q[5];\ncrx(0.9098) q[4], q[3];\ncrx(0.4851) q[4], q[2];\ncrx(-1.038) q[4], q[1];\ncrx(1.0178) q[4], q[0];\ncrx(0.2902) q[3], q[8];\ncrx(0.3013) q[3], q[7];\ncrx(0.2122) q[3], q[6];\ncrx(-0.0243) q[3], q[5];\ncrx(-0.0333) q[3], q[4];\ncrx(0.4851) q[3], q[2];\ncrx(-1.038) q[3], q[1];\ncrx(1.0178) q[3], q[0];\ncrx(0.2902) q[2], q[8];\ncrx(0.3013) q[2], q[7];\ncrx(0.2122) q[2], q[6];\ncrx(-0.0243) q[2], q[5];\ncrx(-0.0333) q[2], q[4];\ncrx(0.9098) q[2], q[3];\ncrx(-1.038) q[2], q[1];\ncrx(1.0178) q[2], q[0];\ncrx(0.2902) q[1], q[8];\ncrx(0.3013) q[1], q[7];\ncrx(0.2122) q[1], q[6];\ncrx(-0.0243) q[1], q[5];\ncrx(-0.0333) q[1], q[4];\ncrx(0.9098) q[1], q[3];\ncrx(0.4851) q[1], q[2];\ncrx(1.0178) q[1], q[0];\ncrx(0.2902) q[0], q[8];\ncrx(0.3013) q[0], q[7];\ncrx(0.2122) q[0], q[6];\ncrx(-0.0243) q[0], q[5];\ncrx(-0.0333) q[0], q[4];\ncrx(0.9098) q[0], q[3];\ncrx(0.4851) q[0], q[2];\ncrx(-1.038) q[0], q[1];\nrx(-0.2541) q[0];\nrz(0.6794) q[0];\nrx(0.2652) q[1];\nrz(0.7063) q[1];\nrx(-0.2395) q[2];\nrz(0.7132) q[2];\nrx(-0.186) q[3];\nrz(0.7835) q[3];\nrx(-0.0128) q[4];\nrz(0.5633) q[4];\nrx(-0.0181) q[5];\nrz(0.6384) q[5];\nrx(-0.254) q[6];\nrz(0.785) q[6];\nrx(-0.1934) q[7];\nrz(0.8381) q[7];\nrx(-0.2135) q[8];\nrz(0.9399) q[8];\nrx(0.217) q[0];\nrz(0.6009) q[0];\nrx(-0.3234) q[1];\nrz(0.362) q[1];\nrx(0.1481) q[2];\nrz(0.696) q[2];\nrx(0.1409) q[3];\nrz(0.5956) q[3];\nrx(-0.0323) q[4];\nrz(0.5813) q[4];\nrx(-0.0102) q[5];\nrz(0.7106) q[5];\nrx(0.1887) q[6];\nrz(0.7249) q[6];\nrx(-0.0608) q[7];\nrz(0.9878) q[7];\nrx(-0.048) q[8];\nrz(0.8675) q[8];\ncrx(0.3511) q[8], q[7];\ncrx(0.149) q[8], q[6];\ncrx(0.0036) q[8], q[5];\ncrx(0.0049) q[8], q[4];\ncrx(-0.2069) q[8], q[3];\ncrx(0.251) q[8], q[2];\ncrx(0.1174) q[8], q[1];\ncrx(0.021) q[8], q[0];\ncrx(0.3616) q[7], q[8];\ncrx(0.149) q[7], q[6];\ncrx(0.0036) q[7], q[5];\ncrx(0.0049) q[7], q[4];\ncrx(-0.2069) q[7], q[3];\ncrx(0.251) q[7], q[2];\ncrx(0.1174) q[7], q[1];\ncrx(0.021) q[7], q[0];\ncrx(0.3616) q[6], q[8];\ncrx(0.3511) q[6], q[7];\ncrx(0.0036) q[6], q[5];\ncrx(0.0049) q[6], q[4];\ncrx(-0.2069) q[6], q[3];\ncrx(0.251) q[6], q[2];\ncrx(0.1174) q[6], q[1];\ncrx(0.021) q[6], q[0];\ncrx(0.3616) q[5], q[8];\ncrx(0.3511) q[5], q[7];\ncrx(0.149) q[5], q[6];\ncrx(0.0049) q[5], q[4];\ncrx(-0.2069) q[5], q[3];\ncrx(0.251) q[5], q[2];\ncrx(0.1174) q[5], q[1];\ncrx(0.021) q[5], q[0];\ncrx(0.3616) q[4], q[8];\ncrx(0.3511) q[4], q[7];\ncrx(0.149) q[4], q[6];\ncrx(0.0036) q[4], q[5];\ncrx(-0.2069) q[4], q[3];\ncrx(0.251) q[4], q[2];\ncrx(0.1174) q[4], q[1];\ncrx(0.021) q[4], q[0];\ncrx(0.3616) q[3], q[8];\ncrx(0.3511) q[3], q[7];\ncrx(0.149) q[3], q[6];\ncrx(0.0036) q[3], q[5];\ncrx(0.0049) q[3], q[4];\ncrx(0.251) q[3], q[2];\ncrx(0.1174) q[3], q[1];\ncrx(0.021) q[3], q[0];\ncrx(0.3616) q[2], q[8];\ncrx(0.3511) q[2], q[7];\ncrx(0.149) q[2], q[6];\ncrx(0.0036) q[2], q[5];\ncrx(0.0049) q[2], q[4];\ncrx(-0.2069) q[2], q[3];\ncrx(0.1174) q[2], q[1];\ncrx(0.021) q[2], q[0];\ncrx(0.3616) q[1], q[8];\ncrx(0.3511) q[1], q[7];\ncrx(0.149) q[1], q[6];\ncrx(0.0036) q[1], q[5];\ncrx(0.0049) q[1], q[4];\ncrx(-0.2069) q[1], q[3];\ncrx(0.251) q[1], q[2];\ncrx(0.021) q[1], q[0];\ncrx(0.3616) q[0], q[8];\ncrx(0.3511) q[0], q[7];\ncrx(0.149) q[0], q[6];\ncrx(0.0036) q[0], q[5];\ncrx(0.0049) q[0], q[4];\ncrx(-0.2069) q[0], q[3];\ncrx(0.251) q[0], q[2];\ncrx(0.1174) q[0], q[1];\nrx(-0.0513) q[0];\nrz(0.3633) q[0];\nrx(0.093) q[1];\nrz(0.5474) q[1];\nrx(0.0122) q[2];\nrz(0.7325) q[2];\nrx(0.0402) q[3];\nrz(0.4363) q[3];\nrx(-0.0051) q[4];\nrz(0.4163) q[4];\nrx(-0.0176) q[5];\nrz(0.4125) q[5];\nrx(-0.0842) q[6];\nrz(0.9062) q[6];\nrx(-0.1104) q[7];\nrz(0.8954) q[7];\nrx(-0.1497) q[8];\nrz(0.8411) q[8];\nrx(0.1523) q[0];\nrz(0.2704) q[0];\nrx(-0.1508) q[1];\nrz(0.4784) q[1];\nrx(0.1497) q[2];\nrz(0.533) q[2];\nrx(0.1448) q[3];\nrz(0.1326) q[3];\nrx(-0.0585) q[4];\nrz(0.3957) q[4];\nrx(-0.0273) q[5];\nrz(0.2868) q[5];\nrx(0.2887) q[6];\nrz(0.7577) q[6];\nrx(0.1623) q[7];\nrz(0.8082) q[7];\nrx(0.0874) q[8];\nrz(0.7459) q[8];\ncrx(-0.1368) q[8], q[7];\ncrx(-0.2251) q[8], q[6];\ncrx(-0.0284) q[8], q[5];\ncrx(-0.0417) q[8], q[4];\ncrx(-0.0107) q[8], q[3];\ncrx(-0.2627) q[8], q[2];\ncrx(0.1424) q[8], q[1];\ncrx(-0.1994) q[8], q[0];\ncrx(-0.16) q[7], q[8];\ncrx(-0.2251) q[7], q[6];\ncrx(-0.0284) q[7], q[5];\ncrx(-0.0417) q[7], q[4];\ncrx(-0.0107) q[7], q[3];\ncrx(-0.2627) q[7], q[2];\ncrx(0.1424) q[7], q[1];\ncrx(-0.1994) q[7], q[0];\ncrx(-0.16) q[6], q[8];\ncrx(-0.1368) q[6], q[7];\ncrx(-0.0284) q[6], q[5];\ncrx(-0.0417) q[6], q[4];\ncrx(-0.0107) q[6], q[3];\ncrx(-0.2627) q[6], q[2];\ncrx(0.1424) q[6], q[1];\ncrx(-0.1994) q[6], q[0];\ncrx(-0.16) q[5], q[8];\ncrx(-0.1368) q[5], q[7];\ncrx(-0.2251) q[5], q[6];\ncrx(-0.0417) q[5], q[4];\ncrx(-0.0107) q[5], q[3];\ncrx(-0.2627) q[5], q[2];\ncrx(0.1424) q[5], q[1];\ncrx(-0.1994) q[5], q[0];\ncrx(-0.16) q[4], q[8];\ncrx(-0.1368) q[4], q[7];\ncrx(-0.2251) q[4], q[6];\ncrx(-0.0284) q[4], q[5];\ncrx(-0.0107) q[4], q[3];\ncrx(-0.2627) q[4], q[2];\ncrx(0.1424) q[4], q[1];\ncrx(-0.1994) q[4], q[0];\ncrx(-0.16) q[3], q[8];\ncrx(-0.1368) q[3], q[7];\ncrx(-0.2251) q[3], q[6];\ncrx(-0.0284) q[3], q[5];\ncrx(-0.0417) q[3], q[4];\ncrx(-0.2627) q[3], q[2];\ncrx(0.1424) q[3], q[1];\ncrx(-0.1994) q[3], q[0];\ncrx(-0.16) q[2], q[8];\ncrx(-0.1368) q[2], q[7];\ncrx(-0.2251) q[2], q[6];\ncrx(-0.0284) q[2], q[5];\ncrx(-0.0417) q[2], q[4];\ncrx(-0.0107) q[2], q[3];\ncrx(0.1424) q[2], q[1];\ncrx(-0.1994) q[2], q[0];\ncrx(-0.16) q[1], q[8];\ncrx(-0.1368) q[1], q[7];\ncrx(-0.2251) q[1], q[6];\ncrx(-0.0284) q[1], q[5];\ncrx(-0.0417) q[1], q[4];\ncrx(-0.0107) q[1], q[3];\ncrx(-0.2627) q[1], q[2];\ncrx(-0.1994) q[1], q[0];\ncrx(-0.16) q[0], q[8];\ncrx(-0.1368) q[0], q[7];\ncrx(-0.2251) q[0], q[6];\ncrx(-0.0284) q[0], q[5];\ncrx(-0.0417) q[0], q[4];\ncrx(-0.0107) q[0], q[3];\ncrx(-0.2627) q[0], q[2];\ncrx(0.1424) q[0], q[1];\nrx(-0.2219) q[0];\nrz(0.0036) q[0];\nrx(0.0548) q[1];\nrz(0.0012) q[1];\nrx(-0.0994) q[2];\nrz(0.003) q[2];\nrx(-0.0397) q[3];\nrz(0.007) q[3];\nrx(-0.0139) q[4];\nrz(0.0092) q[4];\nrx(-0.0109) q[5];\nrz(0.0029) q[5];\nrx(-0.07) q[6];\nrz(0.0039) q[6];\nrx(-0.0224) q[7];\nrz(0.0082) q[7];\nrx(0.0057) q[8];\nrz(0.0031) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrx(x18) q[8], q[7];\ncrx(x19) q[8], q[6];\ncrx(x20) q[8], q[5];\ncrx(x21) q[8], q[4];\ncrx(x22) q[8], q[3];\ncrx(x23) q[8], q[2];\ncrx(x24) q[8], q[1];\ncrx(x25) q[8], q[0];\ncrx(x26) q[7], q[8];\ncrx(x19) q[7], q[6];\ncrx(x20) q[7], q[5];\ncrx(x21) q[7], q[4];\ncrx(x22) q[7], q[3];\ncrx(x23) q[7], q[2];\ncrx(x24) q[7], q[1];\ncrx(x25) q[7], q[0];\ncrx(x26) q[6], q[8];\ncrx(x18) q[6], q[7];\ncrx(x20) q[6], q[5];\ncrx(x21) q[6], q[4];\ncrx(x22) q[6], q[3];\ncrx(x23) q[6], q[2];\ncrx(x24) q[6], q[1];\ncrx(x25) q[6], q[0];\ncrx(x26) q[5], q[8];\ncrx(x18) q[5], q[7];\ncrx(x19) q[5], q[6];\ncrx(x21) q[5], q[4];\ncrx(x22) q[5], q[3];\ncrx(x23) q[5], q[2];\ncrx(x24) q[5], q[1];\ncrx(x25) q[5], q[0];\ncrx(x26) q[4], q[8];\ncrx(x18) q[4], q[7];\ncrx(x19) q[4], q[6];\ncrx(x20) q[4], q[5];\ncrx(x22) q[4], q[3];\ncrx(x23) q[4], q[2];\ncrx(x24) q[4], q[1];\ncrx(x25) q[4], q[0];\ncrx(x26) q[3], q[8];\ncrx(x18) q[3], q[7];\ncrx(x19) q[3], q[6];\ncrx(x20) q[3], q[5];\ncrx(x21) q[3], q[4];\ncrx(x23) q[3], q[2];\ncrx(x24) q[3], q[1];\ncrx(x25) q[3], q[0];\ncrx(x26) q[2], q[8];\ncrx(x18) q[2], q[7];\ncrx(x19) q[2], q[6];\ncrx(x20) q[2], q[5];\ncrx(x21) q[2], q[4];\ncrx(x22) q[2], q[3];\ncrx(x24) q[2], q[1];\ncrx(x25) q[2], q[0];\ncrx(x26) q[1], q[8];\ncrx(x18) q[1], q[7];\ncrx(x19) q[1], q[6];\ncrx(x20) q[1], q[5];\ncrx(x21) q[1], q[4];\ncrx(x22) q[1], q[3];\ncrx(x23) q[1], q[2];\ncrx(x25) q[1], q[0];\ncrx(x26) q[0], q[8];\ncrx(x18) q[0], q[7];\ncrx(x19) q[0], q[6];\ncrx(x20) q[0], q[5];\ncrx(x21) q[0], q[4];\ncrx(x22) q[0], q[3];\ncrx(x23) q[0], q[2];\ncrx(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x45) q[0];\nrz(x46) q[0];\nrx(x47) q[1];\nrz(x48) q[1];\nrx(x49) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x59) q[7];\nrz(x60) q[7];\nrx(x61) q[8];\nrz(x62) q[8];\ncrx(x63) q[8], q[7];\ncrx(x64) q[8], q[6];\ncrx(x65) q[8], q[5];\ncrx(x66) q[8], q[4];\ncrx(x67) q[8], q[3];\ncrx(x68) q[8], q[2];\ncrx(x69) q[8], q[1];\ncrx(x70) q[8], q[0];\ncrx(x71) q[7], q[8];\ncrx(x64) q[7], q[6];\ncrx(x65) q[7], q[5];\ncrx(x66) q[7], q[4];\ncrx(x67) q[7], q[3];\ncrx(x68) q[7], q[2];\ncrx(x69) q[7], q[1];\ncrx(x70) q[7], q[0];\ncrx(x71) q[6], q[8];\ncrx(x63) q[6], q[7];\ncrx(x65) q[6], q[5];\ncrx(x66) q[6], q[4];\ncrx(x67) q[6], q[3];\ncrx(x68) q[6], q[2];\ncrx(x69) q[6], q[1];\ncrx(x70) q[6], q[0];\ncrx(x71) q[5], q[8];\ncrx(x63) q[5], q[7];\ncrx(x64) q[5], q[6];\ncrx(x66) q[5], q[4];\ncrx(x67) q[5], q[3];\ncrx(x68) q[5], q[2];\ncrx(x69) q[5], q[1];\ncrx(x70) q[5], q[0];\ncrx(x71) q[4], q[8];\ncrx(x63) q[4], q[7];\ncrx(x64) q[4], q[6];\ncrx(x65) q[4], q[5];\ncrx(x67) q[4], q[3];\ncrx(x68) q[4], q[2];\ncrx(x69) q[4], q[1];\ncrx(x70) q[4], q[0];\ncrx(x71) q[3], q[8];\ncrx(x63) q[3], q[7];\ncrx(x64) q[3], q[6];\ncrx(x65) q[3], q[5];\ncrx(x66) q[3], q[4];\ncrx(x68) q[3], q[2];\ncrx(x69) q[3], q[1];\ncrx(x70) q[3], q[0];\ncrx(x71) q[2], q[8];\ncrx(x63) q[2], q[7];\ncrx(x64) q[2], q[6];\ncrx(x65) q[2], q[5];\ncrx(x66) q[2], q[4];\ncrx(x67) q[2], q[3];\ncrx(x69) q[2], q[1];\ncrx(x70) q[2], q[0];\ncrx(x71) q[1], q[8];\ncrx(x63) q[1], q[7];\ncrx(x64) q[1], q[6];\ncrx(x65) q[1], q[5];\ncrx(x66) q[1], q[4];\ncrx(x67) q[1], q[3];\ncrx(x68) q[1], q[2];\ncrx(x70) q[1], q[0];\ncrx(x71) q[0], q[8];\ncrx(x63) q[0], q[7];\ncrx(x64) q[0], q[6];\ncrx(x65) q[0], q[5];\ncrx(x66) q[0], q[4];\ncrx(x67) q[0], q[3];\ncrx(x68) q[0], q[2];\ncrx(x69) q[0], q[1];\nrx(x72) q[0];\nrz(x73) q[0];\nrx(x74) q[1];\nrz(x75) q[1];\nrx(x76) q[2];\nrz(x77) q[2];\nrx(x78) q[3];\nrz(x79) q[3];\nrx(x80) q[4];\nrz(x81) q[4];\nrx(x82) q[5];\nrz(x83) q[5];\nrx(x84) q[6];\nrz(x85) q[6];\nrx(x86) q[7];\nrz(x87) q[7];\nrx(x88) q[8];\nrz(x89) q[8];\nrx(x90) q[0];\nrz(x91) q[0];\nrx(x92) q[1];\nrz(x93) q[1];\nrx(x94) q[2];\nrz(x95) q[2];\nrx(x96) q[3];\nrz(x97) q[3];\nrx(x98) q[4];\nrz(x99) q[4];\nrx(x100) q[5];\nrz(x101) q[5];\nrx(x102) q[6];\nrz(x103) q[6];\nrx(x104) q[7];\nrz(x105) q[7];\nrx(x106) q[8];\nrz(x107) q[8];\ncrx(x108) q[8], q[7];\ncrx(x109) q[8], q[6];\ncrx(x110) q[8], q[5];\ncrx(x111) q[8], q[4];\ncrx(x112) q[8], q[3];\ncrx(x113) q[8], q[2];\ncrx(x114) q[8], q[1];\ncrx(x115) q[8], q[0];\ncrx(x116) q[7], q[8];\ncrx(x109) q[7], q[6];\ncrx(x110) q[7], q[5];\ncrx(x111) q[7], q[4];\ncrx(x112) q[7], q[3];\ncrx(x113) q[7], q[2];\ncrx(x114) q[7], q[1];\ncrx(x115) q[7], q[0];\ncrx(x116) q[6], q[8];\ncrx(x108) q[6], q[7];\ncrx(x110) q[6], q[5];\ncrx(x111) q[6], q[4];\ncrx(x112) q[6], q[3];\ncrx(x113) q[6], q[2];\ncrx(x114) q[6], q[1];\ncrx(x115) q[6], q[0];\ncrx(x116) q[5], q[8];\ncrx(x108) q[5], q[7];\ncrx(x109) q[5], q[6];\ncrx(x111) q[5], q[4];\ncrx(x112) q[5], q[3];\ncrx(x113) q[5], q[2];\ncrx(x114) q[5], q[1];\ncrx(x115) q[5], q[0];\ncrx(x116) q[4], q[8];\ncrx(x108) q[4], q[7];\ncrx(x109) q[4], q[6];\ncrx(x110) q[4], q[5];\ncrx(x112) q[4], q[3];\ncrx(x113) q[4], q[2];\ncrx(x114) q[4], q[1];\ncrx(x115) q[4], q[0];\ncrx(x116) q[3], q[8];\ncrx(x108) q[3], q[7];\ncrx(x109) q[3], q[6];\ncrx(x110) q[3], q[5];\ncrx(x111) q[3], q[4];\ncrx(x113) q[3], q[2];\ncrx(x114) q[3], q[1];\ncrx(x115) q[3], q[0];\ncrx(x116) q[2], q[8];\ncrx(x108) q[2], q[7];\ncrx(x109) q[2], q[6];\ncrx(x110) q[2], q[5];\ncrx(x111) q[2], q[4];\ncrx(x112) q[2], q[3];\ncrx(x114) q[2], q[1];\ncrx(x115) q[2], q[0];\ncrx(x116) q[1], q[8];\ncrx(x108) q[1], q[7];\ncrx(x109) q[1], q[6];\ncrx(x110) q[1], q[5];\ncrx(x111) q[1], q[4];\ncrx(x112) q[1], q[3];\ncrx(x113) q[1], q[2];\ncrx(x115) q[1], q[0];\ncrx(x116) q[0], q[8];\ncrx(x108) q[0], q[7];\ncrx(x109) q[0], q[6];\ncrx(x110) q[0], q[5];\ncrx(x111) q[0], q[4];\ncrx(x112) q[0], q[3];\ncrx(x113) q[0], q[2];\ncrx(x114) q[0], q[1];\nrx(x117) q[0];\nrz(x118) q[0];\nrx(x119) q[1];\nrz(x120) q[1];\nrx(x121) q[2];\nrz(x122) q[2];\nrx(x123) q[3];\nrz(x124) q[3];\nrx(x125) q[4];\nrz(x126) q[4];\nrx(x127) q[5];\nrz(x128) q[5];\nrx(x129) q[6];\nrz(x130) q[6];\nrx(x131) q[7];\nrz(x132) q[7];\nrx(x133) q[8];\nrz(x134) q[8];\nrx(x135) q[0];\nrz(x136) q[0];\nrx(x137) q[1];\nrz(x138) q[1];\nrx(x139) q[2];\nrz(x140) q[2];\nrx(x141) q[3];\nrz(x142) q[3];\nrx(x143) q[4];\nrz(x144) q[4];\nrx(x145) q[5];\nrz(x146) q[5];\nrx(x147) q[6];\nrz(x148) q[6];\nrx(x149) q[7];\nrz(x150) q[7];\nrx(x151) q[8];\nrz(x152) q[8];\ncrx(x153) q[8], q[7];\ncrx(x154) q[8], q[6];\ncrx(x155) q[8], q[5];\ncrx(x156) q[8], q[4];\ncrx(x157) q[8], q[3];\ncrx(x158) q[8], q[2];\ncrx(x159) q[8], q[1];\ncrx(x160) q[8], q[0];\ncrx(x161) q[7], q[8];\ncrx(x154) q[7], q[6];\ncrx(x155) q[7], q[5];\ncrx(x156) q[7], q[4];\ncrx(x157) q[7], q[3];\ncrx(x158) q[7], q[2];\ncrx(x159) q[7], q[1];\ncrx(x160) q[7], q[0];\ncrx(x161) q[6], q[8];\ncrx(x153) q[6], q[7];\ncrx(x155) q[6], q[5];\ncrx(x156) q[6], q[4];\ncrx(x157) q[6], q[3];\ncrx(x158) q[6], q[2];\ncrx(x159) q[6], q[1];\ncrx(x160) q[6], q[0];\ncrx(x161) q[5], q[8];\ncrx(x153) q[5], q[7];\ncrx(x154) q[5], q[6];\ncrx(x156) q[5], q[4];\ncrx(x157) q[5], q[3];\ncrx(x158) q[5], q[2];\ncrx(x159) q[5], q[1];\ncrx(x160) q[5], q[0];\ncrx(x161) q[4], q[8];\ncrx(x153) q[4], q[7];\ncrx(x154) q[4], q[6];\ncrx(x155) q[4], q[5];\ncrx(x157) q[4], q[3];\ncrx(x158) q[4], q[2];\ncrx(x159) q[4], q[1];\ncrx(x160) q[4], q[0];\ncrx(x161) q[3], q[8];\ncrx(x153) q[3], q[7];\ncrx(x154) q[3], q[6];\ncrx(x155) q[3], q[5];\ncrx(x156) q[3], q[4];\ncrx(x158) q[3], q[2];\ncrx(x159) q[3], q[1];\ncrx(x160) q[3], q[0];\ncrx(x161) q[2], q[8];\ncrx(x153) q[2], q[7];\ncrx(x154) q[2], q[6];\ncrx(x155) q[2], q[5];\ncrx(x156) q[2], q[4];\ncrx(x157) q[2], q[3];\ncrx(x159) q[2], q[1];\ncrx(x160) q[2], q[0];\ncrx(x161) q[1], q[8];\ncrx(x153) q[1], q[7];\ncrx(x154) q[1], q[6];\ncrx(x155) q[1], q[5];\ncrx(x156) q[1], q[4];\ncrx(x157) q[1], q[3];\ncrx(x158) q[1], q[2];\ncrx(x160) q[1], q[0];\ncrx(x161) q[0], q[8];\ncrx(x153) q[0], q[7];\ncrx(x154) q[0], q[6];\ncrx(x155) q[0], q[5];\ncrx(x156) q[0], q[4];\ncrx(x157) q[0], q[3];\ncrx(x158) q[0], q[2];\ncrx(x159) q[0], q[1];\nrx(x162) q[0];\nrz(x110) q[0];\nrx(x163) q[1];\nrz(x164) q[1];\nrx(x165) q[2];\nrz(x166) q[2];\nrx(x167) q[3];\nrz(x168) q[3];\nrx(x169) q[4];\nrz(x170) q[4];\nrx(x171) q[5];\nrz(x172) q[5];\nrx(x173) q[6];\nrz(x174) q[6];\nrx(x175) q[7];\nrz(x176) q[7];\nrx(x177) q[8];\nrz(x178) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 5}","{\"circuits\": [], \"gradients\": []}"]
["fafc6efdddfc79ee772c32f1548fe7dd","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}]}","{\"states\": [762, 698], \"expectation_value\": -2.0136518392831873, \"params\": [[[0.6948000000000001, -0.0004], [0.2189, 0.20770000000000002], [0.7048, 0.0004], [0.48160000000000003, 0.09620000000000001], [0.7019000000000001, -0.0007], [0.7035, -0.0017000000000000001], [0.6986, 0.0009000000000000001], [0.0678, -0.32320000000000004], [0.6945, 0.0007], [0.054700000000000006, -0.325]], [[0.6925, -0.0004], [0.2252, 0.2076], [0.7032, 0.0004], [0.4791, 0.09620000000000001], [0.7046, -0.0007], [0.7048, -0.0017000000000000001], [0.6994, 0.0009000000000000001], [0.0668, -0.32330000000000003], [0.6973, 0.0007], [0.0577, -0.3259]], [[0.6944, 0.005], [0.22710000000000002, 0.0088], [0.6979000000000001, 0.0085], [0.4827, 0.0011], [0.7006, 0.006900000000000001], [0.7079000000000001, 0.0011], [0.7015, 0.0068000000000000005], [0.061200000000000004, 0.0076], [0.6946, 0.0024000000000000002], [0.05, 0.005]]], \"bitstrings\": [\"0100000101\", \"0101000101\"], \"total_optimization_steps\": 70, \"probabilities\": [0.06921280964339233, 0.09035031206725791], \"optimization_time\": 9.375050783157349}","0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(9) @ Z(5)) + -0.125 * Z(0) + -0.25 * Z(1) + 0.125 * Z(2) + 0.125 * Z(3) + -0.125 * Z(4) + -0.25 * Z(5) + -0.25 * Z(6) + -0.5 * Z(7) + -0.25 * Z(8) + -0.5 * Z(9)",1,10,3,"{\"smallest_eigenvalues\": [-4.125], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.125, \"smallest_bitstrings\": [\"0101000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.6948) q[0];\nrz(-0.0004) q[0];\nrx(0.2189) q[1];\nrz(0.2077) q[1];\nrx(0.7048) q[2];\nrz(0.0004) q[2];\nrx(0.4816) q[3];\nrz(0.0962) q[3];\nrx(0.7019) q[4];\nrz(-0.0007) q[4];\nrx(0.7035) q[5];\nrz(-0.0017) q[5];\nrx(0.6986) q[6];\nrz(0.0009) q[6];\nrx(0.0678) q[7];\nrz(-0.3232) q[7];\nrx(0.6945) q[8];\nrz(0.0007) q[8];\nrx(0.0547) q[9];\nrz(-0.325) q[9];\nrx(0.6925) q[0];\nrz(-0.0004) q[0];\nrx(0.2252) q[1];\nrz(0.2076) q[1];\nrx(0.7032) q[2];\nrz(0.0004) q[2];\nrx(0.4791) q[3];\nrz(0.0962) q[3];\nrx(0.7046) q[4];\nrz(-0.0007) q[4];\nrx(0.7048) q[5];\nrz(-0.0017) q[5];\nrx(0.6994) q[6];\nrz(0.0009) q[6];\nrx(0.0668) q[7];\nrz(-0.3233) q[7];\nrx(0.6973) q[8];\nrz(0.0007) q[8];\nrx(0.0577) q[9];\nrz(-0.3259) q[9];\nrx(0.6944) q[0];\nrz(0.005) q[0];\nrx(0.2271) q[1];\nrz(0.0088) q[1];\nrx(0.6979) q[2];\nrz(0.0085) q[2];\nrx(0.4827) q[3];\nrz(0.0011) q[3];\nrx(0.7006) q[4];\nrz(0.0069) q[4];\nrx(0.7079) q[5];\nrz(0.0011) q[5];\nrx(0.7015) q[6];\nrz(0.0068) q[6];\nrx(0.0612) q[7];\nrz(0.0076) q[7];\nrx(0.6946) q[8];\nrz(0.0024) q[8];\nrx(0.05) q[9];\nrz(0.005) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[0];\nrz(x1) q[0];\nrx(x21) q[1];\nrz(x22) q[1];\nrx(x23) q[2];\nrz(x5) q[2];\nrx(x24) q[3];\nrz(x7) q[3];\nrx(x25) q[4];\nrz(x9) q[4];\nrx(x4) q[5];\nrz(x11) q[5];\nrx(x26) q[6];\nrz(x13) q[6];\nrx(x27) q[7];\nrz(x28) q[7];\nrx(x29) q[8];\nrz(x17) q[8];\nrx(x30) q[9];\nrz(x31) q[9];\nrx(x32) q[0];\nrz(x33) q[0];\nrx(x34) q[1];\nrz(x35) q[1];\nrx(x36) q[2];\nrz(x37) q[2];\nrx(x38) q[3];\nrz(x39) q[3];\nrx(x40) q[4];\nrz(x41) q[4];\nrx(x42) q[5];\nrz(x39) q[5];\nrx(x43) q[6];\nrz(x44) q[6];\nrx(x45) q[7];\nrz(x46) q[7];\nrx(x47) q[8];\nrz(x48) q[8];\nrx(x49) q[9];\nrz(x33) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["40f73a69cc5b4385088859a36eaf639e","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 8}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 8}]}","{\"states\": [418, 482], \"expectation_value\": -5.9791017957425705, \"params\": [0.9091, 0.004200000000000001, 0.9068, 0.0094, 0.9027000000000001, 0.0002, 0.9064000000000001, 0.0001, 0.7939, 0.0149, 0.7895000000000001, 0.0088, 0.9054000000000001, -0.0012000000000000001, 0.9024000000000001, 0.0095, 0.0038, 0.529, 0.0038, 0.0046, 0.7687, 0.21230000000000002, 0.7733, 0.0024000000000000002, -0.0049, -0.45030000000000003, -0.0067, 0.006200000000000001, 0.9083, -0.0403, 0.9097000000000001, 0.0085, -0.0064, 0.4596, -0.003, 0.0013000000000000002, 0.0025, 0.0007, 0.001, 0.009600000000000001, 0.2978, 0.0035, -0.08560000000000001, 0.0027, 0.0013000000000000002], \"bitstrings\": [\"001011101\", \"000011101\"], \"total_optimization_steps\": 90, \"probabilities\": [0.03750801458914706, 0.038461333480573394], \"optimization_time\": 14.493913412094116}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -3.0 * Z(4) + -0.5 * Z(0) + -2.0 * Z(6) + 0.0 * Z(1) + -1.5 * Z(2) + -1.5 * Z(5) + -2.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(7)",7,9,1,"{\"smallest_eigenvalues\": [-8.0, -8.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -7.0, \"smallest_bitstrings\": [\"000011101\", \"001010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.9091) q[0];\nrz(0.0042) q[0];\nrx(0.9027) q[1];\nrz(0.0002) q[1];\nrx(0.7939) q[2];\nrz(0.0149) q[2];\nrx(0.9054) q[3];\nrz(-0.0012) q[3];\nrx(0.0038) q[4];\nrz(0.529) q[4];\nrx(0.7687) q[5];\nrz(0.2123) q[5];\nrx(-0.0049) q[6];\nrz(-0.4503) q[6];\nrx(0.9083) q[7];\nrz(-0.0403) q[7];\nrx(-0.0064) q[8];\nrz(0.4596) q[8];\ncrz(0.0025) q[1], q[0];\ncrz(0.001) q[3], q[2];\ncrz(0.2978) q[5], q[4];\ncrz(-0.0856) q[7], q[6];\nrx(0.9068) q[0];\nrz(0.0094) q[0];\nrx(0.9064) q[1];\nrz(0.0001) q[1];\nrx(0.7895) q[2];\nrz(0.0088) q[2];\nrx(0.9024) q[3];\nrz(0.0095) q[3];\nrx(0.0038) q[4];\nrz(0.0046) q[4];\nrx(0.7733) q[5];\nrz(0.0024) q[5];\nrx(-0.0067) q[6];\nrz(0.0062) q[6];\nrx(0.9097) q[7];\nrz(0.0085) q[7];\nrx(-0.003) q[8];\nrz(0.0013) q[8];\ncrz(0.0007) q[2], q[1];\ncrz(0.0096) q[4], q[3];\ncrz(0.0035) q[6], q[5];\ncrz(0.0027) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[1], q[0];\ncrz(x19) q[3], q[2];\ncrz(x20) q[5], q[4];\ncrz(x21) q[7], q[6];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x8) q[4];\nrz(x30) q[4];\nrx(x31) q[5];\nrz(x32) q[5];\nrx(x33) q[6];\nrz(x34) q[6];\nrx(x35) q[7];\nrz(x36) q[7];\nrx(x37) q[8];\nrz(x38) q[8];\ncrz(x39) q[2], q[1];\ncrz(x40) q[4], q[3];\ncrz(x41) q[6], q[5];\ncrz(x42) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["726a5ae01318539d56f80c3be6bbd791","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [1497, 1502], \"expectation_value\": -3.0015976388331067, \"params\": [0.5179, 0.5367000000000001, 0.0059, -0.0025, 0.5149, 0.5195000000000001, 0.5206000000000001, 0.5239, 0.5247, 0.5249, -0.01, 0.0097, 0.5218, 0.5207, 0.6940000000000001, 0.7043, -0.3965, -0.377, 1.0911, 0.35250000000000004, 0.3745, 0.4141, 0.5291, 0.547, -0.0089, 0.0048000000000000004, 0.5288, 0.5244, 0.5249, 0.5325, 0.527, 0.5317000000000001, -0.0024000000000000002, 0.008, 0.5272, 0.5335, 0.7157, 0.5223, -0.2758, -0.28250000000000003, 0.38070000000000004, 0.2509, 0.44220000000000004, 0.5238, 0.5077, 0.5136000000000001, -0.0061, -0.0006000000000000001, 0.5262, 0.5436, 0.5283, 0.527, 0.5182, 0.5046, 0.0031000000000000003, -0.0026000000000000003, 0.531, 0.5269, 0.3554, 0.2924, -0.3418, -0.47290000000000004, 0.0916, -0.1301, 0.6021000000000001, 0.7634000000000001, 0.4741, 0.053500000000000006, -0.2063, -0.2674, 0.1637, -0.053200000000000004, -0.043300000000000005, 0.9762000000000001, -0.036000000000000004, 0.025, 0.1328, 0.008, -0.687, 0.056, 0.2214, -0.937, -0.6084, -0.0654, -0.7714000000000001, 0.0323, -1.3686, -0.8994000000000001, 0.26280000000000003, -0.11510000000000001, 0.1799, -0.3166, 1.4520000000000002, 0.29050000000000004, -0.0077, 1.0418, 0.0166, -0.0098, 0.0303, -0.0046, -1.6167, -0.0954, -0.0748, -1.4872, 0.3175, 0.0284, -1.0518, 0.4728, -1.8275000000000001, -1.2107, 0.1223, 0.008700000000000001, 0.3435, 0.007500000000000001, 0.9112, 0.0097, -0.0067, 0.0045000000000000005, -0.0061, 0.0029000000000000002, -0.1665, 0.004200000000000001, -1.6551, 0.006, 0.1746, 0.0089, 0.5602, 0.0055000000000000005, -0.9728, 0.0059, -1.7256, 0.0041], \"bitstrings\": [\"01000100110\", \"01000100001\"], \"total_optimization_steps\": 450, \"probabilities\": [0.3968850094436354, 0.4009329861936398], \"optimization_time\": 370.6092131137848}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(0) @ Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(1) @ Z(4) @ Z(7)) + -0.125 * (Z(1) @ Z(4) @ Z(8)) + -0.125 * (Z(1) @ Z(8) @ Z(7)) + -0.125 * (Z(7) @ Z(4) @ Z(8)) + 0.125 * (Z(1) @ Z(4) @ Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(9)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(2) @ Z(9)) + 0.125 * (Z(10) @ Z(2)) + 0.125 * (Z(7) @ Z(9)) + 0.125 * (Z(10) @ Z(7)) + 0.125 * (Z(10) @ Z(9)) + -0.125 * (Z(7) @ Z(2) @ Z(9)) + -0.125 * (Z(10) @ Z(2) @ Z(7)) + -0.125 * (Z(10) @ Z(2) @ Z(9)) + -0.125 * (Z(10) @ Z(7) @ Z(9)) + 0.125 * (Z(10) @ Z(2) @ Z(7) @ Z(9)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(10) @ Z(3)) + 0.125 * (Z(8) @ Z(6)) + 0.125 * (Z(10) @ Z(6)) + 0.125 * (Z(10) @ Z(8)) + -0.125 * (Z(8) @ Z(3) @ Z(6)) + -0.125 * (Z(10) @ Z(3) @ Z(6)) + -0.125 * (Z(10) @ Z(8) @ Z(3)) + -0.125 * (Z(10) @ Z(8) @ Z(6)) + 0.125 * (Z(10) @ Z(8) @ Z(3) @ Z(6)) + 0.25 * Z(0) + 0.25 * Z(1) + 0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) + -0.125 * Z(5) + 0.25 * Z(6) + 0.25 * Z(7) + 0.25 * Z(8) + -0.125 * Z(9) + 0.25 * Z(10)",13,11,3,"{\"smallest_eigenvalues\": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.625, \"smallest_bitstrings\": [\"00010101000\", \"00011000010\", \"01000100001\", \"01000010010\", \"00100100100\", \"10000000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.5179) q[0];\nry(0.0059) q[1];\nry(0.5149) q[2];\nry(0.5206) q[3];\nry(0.5247) q[4];\nry(-0.01) q[5];\nry(0.5218) q[6];\nry(0.694) q[7];\nry(-0.3965) q[8];\nry(1.0911) q[9];\nry(0.3745) q[10];\ncrz(0.4741) q[10], q[0];\ncrz(-1.3686) q[9], q[10];\ncrz(-0.7714) q[8], q[9];\ncrz(-0.6084) q[7], q[8];\ncrz(0.2214) q[6], q[7];\ncrz(-0.687) q[5], q[6];\ncrz(0.1328) q[4], q[5];\ncrz(-0.036) q[3], q[4];\ncrz(-0.0433) q[2], q[3];\ncrz(0.1637) q[1], q[2];\ncrz(-0.2063) q[0], q[1];\nry(0.5367) q[0];\nry(-0.0025) q[1];\nry(0.5195) q[2];\nry(0.5239) q[3];\nry(0.5249) q[4];\nry(0.0097) q[5];\nry(0.5207) q[6];\nry(0.7043) q[7];\nry(-0.377) q[8];\nry(0.3525) q[9];\nry(0.4141) q[10];\ncrz(0.0535) q[10], q[9];\ncrz(-0.2674) q[0], q[10];\ncrz(-0.0532) q[0], q[1];\ncrz(0.9762) q[1], q[2];\ncrz(0.025) q[2], q[3];\ncrz(0.008) q[3], q[4];\ncrz(0.056) q[4], q[5];\ncrz(-0.937) q[5], q[6];\ncrz(-0.0654) q[6], q[7];\ncrz(0.0323) q[7], q[8];\ncrz(-0.8994) q[8], q[9];\nry(0.5291) q[0];\nry(-0.0089) q[1];\nry(0.5288) q[2];\nry(0.5249) q[3];\nry(0.527) q[4];\nry(-0.0024) q[5];\nry(0.5272) q[6];\nry(0.7157) q[7];\nry(-0.2758) q[8];\nry(0.3807) q[9];\nry(0.4422) q[10];\ncrz(0.2628) q[10], q[0];\ncrz(-1.8275) q[9], q[10];\ncrz(-1.0518) q[8], q[9];\ncrz(0.3175) q[7], q[8];\ncrz(-0.0748) q[6], q[7];\ncrz(-1.6167) q[5], q[6];\ncrz(0.0303) q[4], q[5];\ncrz(0.0166) q[3], q[4];\ncrz(-0.0077) q[2], q[3];\ncrz(1.452) q[1], q[2];\ncrz(0.1799) q[0], q[1];\nry(0.547) q[0];\nry(0.0048) q[1];\nry(0.5244) q[2];\nry(0.5325) q[3];\nry(0.5317) q[4];\nry(0.008) q[5];\nry(0.5335) q[6];\nry(0.5223) q[7];\nry(-0.2825) q[8];\nry(0.2509) q[9];\nry(0.5238) q[10];\ncrz(-0.1151) q[10], q[9];\ncrz(-0.3166) q[0], q[10];\ncrz(0.2905) q[0], q[1];\ncrz(1.0418) q[1], q[2];\ncrz(-0.0098) q[2], q[3];\ncrz(-0.0046) q[3], q[4];\ncrz(-0.0954) q[4], q[5];\ncrz(-1.4872) q[5], q[6];\ncrz(0.0284) q[6], q[7];\ncrz(0.4728) q[7], q[8];\ncrz(-1.2107) q[8], q[9];\nry(0.5077) q[0];\nry(-0.0061) q[1];\nry(0.5262) q[2];\nry(0.5283) q[3];\nry(0.5182) q[4];\nry(0.0031) q[5];\nry(0.531) q[6];\nry(0.3554) q[7];\nry(-0.3418) q[8];\nry(0.0916) q[9];\nry(0.6021) q[10];\ncrz(0.1223) q[10], q[0];\ncrz(-1.7256) q[9], q[10];\ncrz(-0.9728) q[8], q[9];\ncrz(0.5602) q[7], q[8];\ncrz(0.1746) q[6], q[7];\ncrz(-1.6551) q[5], q[6];\ncrz(-0.1665) q[4], q[5];\ncrz(-0.0061) q[3], q[4];\ncrz(-0.0067) q[2], q[3];\ncrz(0.9112) q[1], q[2];\ncrz(0.3435) q[0], q[1];\nry(0.5136) q[0];\nry(-0.0006) q[1];\nry(0.5436) q[2];\nry(0.527) q[3];\nry(0.5046) q[4];\nry(-0.0026) q[5];\nry(0.5269) q[6];\nry(0.2924) q[7];\nry(-0.4729) q[8];\nry(-0.1301) q[9];\nry(0.7634) q[10];\ncrz(0.0087) q[10], q[9];\ncrz(0.0075) q[0], q[10];\ncrz(0.0097) q[0], q[1];\ncrz(0.0045) q[1], q[2];\ncrz(0.0029) q[2], q[3];\ncrz(0.0042) q[3], q[4];\ncrz(0.006) q[4], q[5];\ncrz(0.0089) q[5], q[6];\ncrz(0.0055) q[6], q[7];\ncrz(0.0059) q[7], q[8];\ncrz(0.0041) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrz(x11) q[10], q[0];\ncrz(x12) q[9], q[10];\ncrz(x13) q[8], q[9];\ncrz(x14) q[7], q[8];\ncrz(x15) q[6], q[7];\ncrz(x16) q[5], q[6];\ncrz(x17) q[4], q[5];\ncrz(x18) q[3], q[4];\ncrz(x19) q[2], q[3];\ncrz(x20) q[1], q[2];\ncrz(x21) q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncrz(x33) q[10], q[9];\ncrz(x34) q[0], q[10];\ncrz(x35) q[0], q[1];\ncrz(x36) q[1], q[2];\ncrz(x37) q[2], q[3];\ncrz(x38) q[3], q[4];\ncrz(x39) q[4], q[5];\ncrz(x40) q[5], q[6];\ncrz(x41) q[6], q[7];\ncrz(x42) q[7], q[8];\ncrz(x43) q[8], q[9];\nry(x44) q[0];\nry(x45) q[1];\nry(x46) q[2];\nry(x26) q[3];\nry(x47) q[4];\nry(x48) q[5];\nry(x49) q[6];\nry(x50) q[7];\nry(x51) q[8];\nry(x52) q[9];\nry(x53) q[10];\ncrz(x54) q[10], q[0];\ncrz(x55) q[9], q[10];\ncrz(x56) q[8], q[9];\ncrz(x57) q[7], q[8];\ncrz(x58) q[6], q[7];\ncrz(x59) q[5], q[6];\ncrz(x60) q[4], q[5];\ncrz(x61) q[3], q[4];\ncrz(x62) q[2], q[3];\ncrz(x63) q[1], q[2];\ncrz(x64) q[0], q[1];\nry(x65) q[0];\nry(x66) q[1];\nry(x67) q[2];\nry(x68) q[3];\nry(x69) q[4];\nry(x38) q[5];\nry(x70) q[6];\nry(x71) q[7];\nry(x72) q[8];\nry(x73) q[9];\nry(x74) q[10];\ncrz(x75) q[10], q[9];\ncrz(x76) q[0], q[10];\ncrz(x77) q[0], q[1];\ncrz(x78) q[1], q[2];\ncrz(x79) q[2], q[3];\ncrz(x80) q[3], q[4];\ncrz(x81) q[4], q[5];\ncrz(x82) q[5], q[6];\ncrz(x83) q[6], q[7];\ncrz(x84) q[7], q[8];\ncrz(x85) q[8], q[9];\nry(x86) q[0];\nry(x87) q[1];\nry(x88) q[2];\nry(x89) q[3];\nry(x90) q[4];\nry(x91) q[5];\nry(x92) q[6];\nry(x93) q[7];\nry(x94) q[8];\nry(x95) q[9];\nry(x96) q[10];\ncrz(x97) q[10], q[0];\ncrz(x98) q[9], q[10];\ncrz(x99) q[8], q[9];\ncrz(x100) q[7], q[8];\ncrz(x101) q[6], q[7];\ncrz(x102) q[5], q[6];\ncrz(x103) q[4], q[5];\ncrz(x87) q[3], q[4];\ncrz(x104) q[2], q[3];\ncrz(x105) q[1], q[2];\ncrz(x106) q[0], q[1];\nry(x107) q[0];\nry(x108) q[1];\nry(x109) q[2];\nry(x47) q[3];\nry(x110) q[4];\nry(x111) q[5];\nry(x112) q[6];\nry(x113) q[7];\nry(x114) q[8];\nry(x115) q[9];\nry(x116) q[10];\ncrz(x117) q[10], q[9];\ncrz(x118) q[0], q[10];\ncrz(x27) q[0], q[1];\ncrz(x119) q[1], q[2];\ncrz(x120) q[2], q[3];\ncrz(x121) q[3], q[4];\ncrz(x122) q[4], q[5];\ncrz(x123) q[5], q[6];\ncrz(x124) q[6], q[7];\ncrz(x1) q[7], q[8];\ncrz(x125) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["5144181ac27497fdfa9bdb5b8b799630","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}]}","{\"states\": [431, 427], \"expectation_value\": -4.2539130878611955, \"params\": [1.9261000000000001, 0.006200000000000001, 2.8907000000000003, 0.003, 1.4708, 0.0027, 2.8911000000000002, 0.0081, 1.2875, 0.0039000000000000003, 2.8969, 0.0034000000000000002, 1.4814, 0.0037, 2.8989000000000003, 0.0014, 1.9138000000000002, 0.0047, 0.008, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0.0058000000000000005, 0.0054, 0.0076, 0.0011, 0.0047], \"bitstrings\": [\"001010000\", \"001010100\"], \"total_optimization_steps\": 290, \"probabilities\": [0.06785116403634352, 0.08115105956140399], \"optimization_time\": 16.49164128303528}","0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.25 * Z(1) + 1.25 * Z(2) + 1.25 * Z(0) + 1.25 * Z(5) + 1.0 * Z(4) + 1.25 * Z(3) + 1.25 * Z(8) + 1.25 * Z(7) + 1.25 * Z(6)",18,9,1,"{\"smallest_eigenvalues\": [-7.0, -7.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"001010100\", \"100010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(1.9261) q[0];\nrz(0.0062) q[0];\nrx(2.8907) q[1];\nrz(0.003) q[1];\nrx(1.4708) q[2];\nrz(0.0027) q[2];\nrx(2.8911) q[3];\nrz(0.0081) q[3];\nrx(1.2875) q[4];\nrz(0.0039) q[4];\nrx(2.8969) q[5];\nrz(0.0034) q[5];\nrx(1.4814) q[6];\nrz(0.0037) q[6];\nrx(2.8989) q[7];\nrz(0.0014) q[7];\nrx(1.9138) q[8];\nrz(0.0047) q[8];\ncrz(0.008) q[8], q[0];\ncrz(0.0047) q[7], q[8];\ncrz(0.0011) q[6], q[7];\ncrz(0.0076) q[5], q[6];\ncrz(0.0054) q[4], q[5];\ncrz(0.0058) q[3], q[4];\ncrz(0.0072) q[2], q[3];\ncrz(0.0068) q[1], q[2];\ncrz(0.0052) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x17) q[7], q[8];\ncrz(x19) q[6], q[7];\ncrz(x20) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x22) q[3], q[4];\ncrz(x23) q[2], q[3];\ncrz(x24) q[1], q[2];\ncrz(x25) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 2}, {\"id\": 1}, {\"id\": 0}], \"edges\": [{\"source\": 2, \"target\": 1}, {\"source\": 1, \"target\": 0}]}}","{\"circuits\": [], \"gradients\": []}"]
["3816890346353333803","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[3, 5], [3, 4], [2, 6], [4, 5], [0, 6], [1, 3]]}","{\"states\": [13, 11], \"expectation_value\": -0.1519990564115459, \"params\": [0.6989000000000001, -0.0921, 0.6672, 0.0, 0.6989000000000001, -0.0877, 0.681, 0.009600000000000001, 0.6912, -0.0766, 0.6666000000000001, 0.0051, 0.7004, 0.052700000000000004, 0.6971, 0.0044, 0.7023, 0.0092, 0.6950000000000001, 0.0023, 0.7030000000000001, 0.016800000000000002, 0.7052, 0.006200000000000001, 0.7002, 0.0489, 0.7068, 0.005, -0.4208, -0.3975, -0.4259, 0.6931, -0.3684, -0.34390000000000004, 0.6356], \"bitstrings\": [\"1110010\", \"1110100\"], \"total_optimization_steps\": 70, \"probabilities\": [0.05812843194581662, 0.06252220314324475], \"optimization_time\": 9.221503496170044}","0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1)",6,7,1,"{\"smallest_eigenvalues\": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], \"number_of_smallest_eigenvalues\": 12, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"1110110\", \"1110100\", \"1110010\", \"0001101\", \"0001011\", \"0001001\", \"0100011\", \"0100101\", \"0100111\", \"1011100\", \"1011000\", \"1011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.6989) q[0];\nrz(-0.0921) q[0];\nrx(0.6989) q[1];\nrz(-0.0877) q[1];\nrx(0.6912) q[2];\nrz(-0.0766) q[2];\nrx(0.7004) q[3];\nrz(0.0527) q[3];\nrx(0.7023) q[4];\nrz(0.0092) q[4];\nrx(0.703) q[5];\nrz(0.0168) q[5];\nrx(0.7002) q[6];\nrz(0.0489) q[6];\ncrx(-0.3439) q[6], q[5];\ncrx(-0.3684) q[6], q[4];\ncrx(0.6931) q[6], q[3];\ncrx(-0.4259) q[6], q[2];\ncrx(-0.3975) q[6], q[1];\ncrx(-0.4208) q[6], q[0];\ncrx(0.6356) q[5], q[6];\ncrx(-0.3684) q[5], q[4];\ncrx(0.6931) q[5], q[3];\ncrx(-0.4259) q[5], q[2];\ncrx(-0.3975) q[5], q[1];\ncrx(-0.4208) q[5], q[0];\ncrx(0.6356) q[4], q[6];\ncrx(-0.3439) q[4], q[5];\ncrx(0.6931) q[4], q[3];\ncrx(-0.4259) q[4], q[2];\ncrx(-0.3975) q[4], q[1];\ncrx(-0.4208) q[4], q[0];\ncrx(0.6356) q[3], q[6];\ncrx(-0.3439) q[3], q[5];\ncrx(-0.3684) q[3], q[4];\ncrx(-0.4259) q[3], q[2];\ncrx(-0.3975) q[3], q[1];\ncrx(-0.4208) q[3], q[0];\ncrx(0.6356) q[2], q[6];\ncrx(-0.3439) q[2], q[5];\ncrx(-0.3684) q[2], q[4];\ncrx(0.6931) q[2], q[3];\ncrx(-0.3975) q[2], q[1];\ncrx(-0.4208) q[2], q[0];\ncrx(0.6356) q[1], q[6];\ncrx(-0.3439) q[1], q[5];\ncrx(-0.3684) q[1], q[4];\ncrx(0.6931) q[1], q[3];\ncrx(-0.4259) q[1], q[2];\ncrx(-0.4208) q[1], q[0];\ncrx(0.6356) q[0], q[6];\ncrx(-0.3439) q[0], q[5];\ncrx(-0.3684) q[0], q[4];\ncrx(0.6931) q[0], q[3];\ncrx(-0.4259) q[0], q[2];\ncrx(-0.3975) q[0], q[1];\nrx(0.6672) q[0];\nrz(0) q[0];\nrx(0.681) q[1];\nrz(0.0096) q[1];\nrx(0.6666) q[2];\nrz(0.0051) q[2];\nrx(0.6971) q[3];\nrz(0.0044) q[3];\nrx(0.695) q[4];\nrz(0.0023) q[4];\nrx(0.7052) q[5];\nrz(0.0062) q[5];\nrx(0.7068) q[6];\nrz(0.005) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x0) q[1];\nrz(x2) q[1];\nrx(x3) q[2];\nrz(x4) q[2];\nrx(x5) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\ncrx(x13) q[6], q[5];\ncrx(x14) q[6], q[4];\ncrx(x15) q[6], q[3];\ncrx(x16) q[6], q[2];\ncrx(x17) q[6], q[1];\ncrx(x18) q[6], q[0];\ncrx(x19) q[5], q[6];\ncrx(x14) q[5], q[4];\ncrx(x15) q[5], q[3];\ncrx(x16) q[5], q[2];\ncrx(x17) q[5], q[1];\ncrx(x18) q[5], q[0];\ncrx(x19) q[4], q[6];\ncrx(x13) q[4], q[5];\ncrx(x15) q[4], q[3];\ncrx(x16) q[4], q[2];\ncrx(x17) q[4], q[1];\ncrx(x18) q[4], q[0];\ncrx(x19) q[3], q[6];\ncrx(x13) q[3], q[5];\ncrx(x14) q[3], q[4];\ncrx(x16) q[3], q[2];\ncrx(x17) q[3], q[1];\ncrx(x18) q[3], q[0];\ncrx(x19) q[2], q[6];\ncrx(x13) q[2], q[5];\ncrx(x14) q[2], q[4];\ncrx(x15) q[2], q[3];\ncrx(x17) q[2], q[1];\ncrx(x18) q[2], q[0];\ncrx(x19) q[1], q[6];\ncrx(x13) q[1], q[5];\ncrx(x14) q[1], q[4];\ncrx(x15) q[1], q[3];\ncrx(x16) q[1], q[2];\ncrx(x18) q[1], q[0];\ncrx(x19) q[0], q[6];\ncrx(x13) q[0], q[5];\ncrx(x14) q[0], q[4];\ncrx(x15) q[0], q[3];\ncrx(x16) q[0], q[2];\ncrx(x17) q[0], q[1];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["11576eab70c2ec583415b5e8bd58f9e2","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 5}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 5, \"target\": 3}]}","{\"states\": [5, 7], \"expectation_value\": -1.3163355649793587, \"params\": [[[0.558, -0.23320000000000002], [0.5726, -0.23070000000000002], [0.5675, -0.231], [0.9884000000000001, -0.0001], [0.88, -0.0011], [0.8951, 0.0007]], [[0.5608000000000001, 0.0043], [0.5737, 0.004], [0.5738, 0.0064], [0.9917, 0.0068000000000000005], [0.8808, 0.0098], [0.8905000000000001, 0.0077]]], \"bitstrings\": [\"111010\", \"111000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.06277154636649425, 0.09200006611215752], \"optimization_time\": 2.977109432220459}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * (Z(3) @ Z(5)) + -0.75 * Z(1) + -0.75 * Z(0) + -0.75 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.25 * Z(3)",1,6,2,"{\"smallest_eigenvalues\": [-7.25, -7.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.25, \"smallest_bitstrings\": [\"111000\", \"110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.558) q[0];\nrz(-0.2332) q[0];\nrx(0.5726) q[1];\nrz(-0.2307) q[1];\nrx(0.5675) q[2];\nrz(-0.231) q[2];\nrx(0.9884) q[3];\nrz(-0.0001) q[3];\nrx(0.88) q[4];\nrz(-0.0011) q[4];\nrx(0.8951) q[5];\nrz(0.0007) q[5];\nrx(0.5608) q[0];\nrz(0.0043) q[0];\nrx(0.5737) q[1];\nrz(0.004) q[1];\nrx(0.5738) q[2];\nrz(0.0064) q[2];\nrx(0.9917) q[3];\nrz(0.0068) q[3];\nrx(0.8808) q[4];\nrz(0.0098) q[4];\nrx(0.8905) q[5];\nrz(0.0077) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[0];\nrz(x13) q[0];\nrx(x14) q[1];\nrz(x15) q[1];\nrx(x16) q[2];\nrz(x17) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\nrx(x20) q[4];\nrz(x21) q[4];\nrx(x22) q[5];\nrz(x23) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["7e799239f8573f120a2c5e15cda2e88f","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}]}","{\"states\": [0, 8], \"expectation_value\": -2.746010950493092, \"params\": null, \"bitstrings\": [\"1111\", \"0111\"], \"total_optimization_steps\": 8, \"probabilities\": [0.0039434487441986675, 0.9960271124624693], \"optimization_time\": 3.375114679336548}","0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3)",1,4,3,"{\"smallest_eigenvalues\": [-2.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.75, \"smallest_bitstrings\": [\"0111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nry(-1.5486) q[2];\nry(-1.4449) q[1];\nry(1.4449) q[0];\ncry(-0.1187) q[0], q[1];\ncry(-0.021) q[0], q[2];\ncry(-0.0027) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[3];\\nry(-1.5486) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[3];\\nry(-1.5486) q[2];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[3];\\nry(-1.5486) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[3];\\nry(-1.5486) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[0];\\ncry(-0.1187) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[3];\\nry(-1.5486) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[0];\\ncry(-0.1187) q[0], q[1];\\ncry(-0.021) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[3];\\nry(-1.5486) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[0];\\ncry(-0.1187) q[0], q[1];\\ncry(-0.021) q[0], q[2];\\ncry(-0.0027) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[3];\\nry(-1.5486) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[0];\\ncry(-0.1187) q[0], q[1];\\ncry(-0.021) q[0], q[2];\\ncry(-0.0027) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\"], \"gradients\": [1.0021, 0.7515, 0.4998, 0.5, 0.063, 0.0116, 0.0055, 0.003]}"]
["5cbc7f8ae1a50d78d4d20f52d11c6d9a","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}]}","{\"states\": [33, 3], \"expectation_value\": -3.648740289970872, \"params\": [[-0.056400000000000006], [0.0648]], \"bitstrings\": [\"011110\", \"111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.020380261004780086, 0.020630684066309298], \"optimization_time\": 2.7603418827056885}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + -6.0 * Z(1) + -6.0 * Z(0) + -6.0 * Z(2) + -5.75 * Z(3) + -5.5 * Z(4) + -5.25 * Z(5)",16,6,1,"{\"smallest_eigenvalues\": [-16.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.25, \"smallest_bitstrings\": [\"111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.2538) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2538) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2538) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2538) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2538) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2538) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.2538) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.282) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2538) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.282) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.282) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.2538) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.282) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.282) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.282) q[5];\ncx q[4], q[5];\nrz(0.6768) q[1];\nrz(0.6768) q[0];\nrz(0.6768) q[2];\nrz(0.6486) q[3];\nrz(0.6204) q[4];\nrz(0.5922) q[5];\nh q[0];\nrz(0.1296) q[0];\nh q[0];\nh q[1];\nrz(0.1296) q[1];\nh q[1];\nh q[2];\nrz(0.1296) q[2];\nh q[2];\nh q[3];\nrz(0.1296) q[3];\nh q[3];\nh q[4];\nrz(0.1296) q[4];\nh q[4];\nh q[5];\nrz(0.1296) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x3) q[3];\nrz(x4) q[4];\nrz(x5) q[5];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["6079455971109850391","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 2, 6], [0, 2], [0, 3], [0, 4], [0, 5], [1, 7]]}","{\"states\": [194, 124], \"expectation_value\": -0.051575996363186945, \"params\": [[-0.0714], [0.06670000000000001]], \"bitstrings\": [\"00111101\", \"10000011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004319219779543995, 0.004319438633944347], \"optimization_time\": 0.574836015701294}","0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(2) + 0.16666666666666663 * Z(1) + 0.16666666666666666 * Z(6) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-2.833333333333333, -2.833333333333333, -2.833333333333333], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"11000000\", \"00111101\", \"10000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[1];\nrz(-0.0238) q[1];\ncx q[2], q[1];\ncx q[2], q[6];\nrz(-0.0238) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(-0.0238) q[6];\ncx q[1], q[6];\ncx q[2], q[0];\nrz(-0.0714) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.0714) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(-0.0714) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.0714) q[5];\ncx q[0], q[5];\ncx q[1], q[7];\nrz(-0.0714) q[7];\ncx q[1], q[7];\nrz(-0.0238) q[2];\nrz(-0.0238) q[1];\nrz(-0.0238) q[6];\nrz(0) q[0];\nrz(0) q[3];\nrz(0) q[4];\nrz(0) q[5];\nrz(0) q[7];\nh q[0];\nrz(0.1334) q[0];\nh q[0];\nh q[1];\nrz(0.1334) q[1];\nh q[1];\nh q[2];\nrz(0.1334) q[2];\nh q[2];\nh q[3];\nrz(0.1334) q[3];\nh q[3];\nh q[4];\nrz(0.1334) q[4];\nh q[4];\nh q[5];\nrz(0.1334) q[5];\nh q[5];\nh q[6];\nrz(0.1334) q[6];\nh q[6];\nh q[7];\nrz(0.1334) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\nrz(x0) q[2];\nrz(x0) q[1];\nrz(x0) q[6];\nrz(x2) q[0];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x2) q[7];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nh q[7];\nrz(x3) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["20b257e7ab3ea05503daa46ec3868b05","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}]}","{\"states\": [1, 3], \"expectation_value\": -12.276586696882605, \"params\": [[[0.0879, 0.2202], [0.1163, -0.1791], [0.10930000000000001, 0.196], [0.0659, 0.23140000000000002], [0.4335, 0.0023], [0.49660000000000004, -0.0002]], [[0.0883, 0.22030000000000002], [0.1187, -0.17900000000000002], [0.10840000000000001, 0.1961], [0.06520000000000001, 0.232], [0.43210000000000004, 0.0023], [0.4908, -0.0002]], [[0.0854, 0.2205], [0.11910000000000001, -0.1786], [0.1091, 0.1962], [0.06810000000000001, 0.23240000000000002], [0.4277, 0.0023], [0.4923, -0.0002]], [[0.09050000000000001, 0.0032], [0.11420000000000001, 0.0014], [0.1063, 0.0098], [0.062200000000000005, 0.0054], [0.4312, 0.001], [0.4904, 0.0047]]], \"bitstrings\": [\"111110\", \"111100\"], \"total_optimization_steps\": 50, \"probabilities\": [0.25477734418324943, 0.34688404505174125], \"optimization_time\": 5.530641555786133}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + -5.75 * Z(1) + -6.0 * Z(0) + -5.75 * Z(2) + -6.25 * Z(3) + -5.5 * Z(4) + -5.25 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-16.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.25, \"smallest_bitstrings\": [\"111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.0879) q[0];\nrz(0.2202) q[0];\nrx(0.1163) q[1];\nrz(-0.1791) q[1];\nrx(0.1093) q[2];\nrz(0.196) q[2];\nrx(0.0659) q[3];\nrz(0.2314) q[3];\nrx(0.4335) q[4];\nrz(0.0023) q[4];\nrx(0.4966) q[5];\nrz(-0.0002) q[5];\nrx(0.0883) q[0];\nrz(0.2203) q[0];\nrx(0.1187) q[1];\nrz(-0.179) q[1];\nrx(0.1084) q[2];\nrz(0.1961) q[2];\nrx(0.0652) q[3];\nrz(0.232) q[3];\nrx(0.4321) q[4];\nrz(0.0023) q[4];\nrx(0.4908) q[5];\nrz(-0.0002) q[5];\nrx(0.0854) q[0];\nrz(0.2205) q[0];\nrx(0.1191) q[1];\nrz(-0.1786) q[1];\nrx(0.1091) q[2];\nrz(0.1962) q[2];\nrx(0.0681) q[3];\nrz(0.2324) q[3];\nrx(0.4277) q[4];\nrz(0.0023) q[4];\nrx(0.4923) q[5];\nrz(-0.0002) q[5];\nrx(0.0905) q[0];\nrz(0.0032) q[0];\nrx(0.1142) q[1];\nrz(0.0014) q[1];\nrx(0.1063) q[2];\nrz(0.0098) q[2];\nrx(0.0622) q[3];\nrz(0.0054) q[3];\nrx(0.4312) q[4];\nrz(0.001) q[4];\nrx(0.4904) q[5];\nrz(0.0047) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[0];\nrz(x13) q[0];\nrx(x14) q[1];\nrz(x15) q[1];\nrx(x16) q[2];\nrz(x17) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\nrx(x20) q[4];\nrz(x9) q[4];\nrx(x21) q[5];\nrz(x11) q[5];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x9) q[4];\nrx(x31) q[5];\nrz(x11) q[5];\nrx(x32) q[0];\nrz(x33) q[0];\nrx(x34) q[1];\nrz(x35) q[1];\nrx(x36) q[2];\nrz(x37) q[2];\nrx(x38) q[3];\nrz(x39) q[3];\nrx(x40) q[4];\nrz(x41) q[4];\nrx(x42) q[5];\nrz(x43) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["b575860502e0560613ed09a59a899ee7","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 5, \"source\": 0, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 5, \"source\": 1, \"target\": 8}, {\"capacity\": 6, \"source\": 2, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 3, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 7, \"target\": 3}, {\"capacity\": 3, \"source\": 7, \"target\": 6}]}","{\"states\": [145, 209], \"expectation_value\": -13.281779301465654, \"params\": [0.0023, 0.0037, 3.1444, 0.0008, -1.6345, 0.0022, -0.0025, 0.0026000000000000003, 2.9445, 0.0007, -0.0024000000000000002, 0.0016, -0.0026000000000000003, 0.0077, -0.0037, 0.0015, -3.1444, 0.0043, 0.0053, 0.0035, 0.0078000000000000005, 0.007500000000000001, 0.009300000000000001, 0.00030000000000000003, 0.009000000000000001, 0.0039000000000000003], \"bitstrings\": [\"101101110\", \"100101110\"], \"total_optimization_steps\": 410, \"probabilities\": [0.463613113550749, 0.5266916045476273], \"optimization_time\": 20.213849306106567}","-0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + 0.75 * Z(2) + -0.25 * Z(0) + -2.5 * Z(3) + 2.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(8) + -1.25 * Z(6) + 1.0 * Z(7) + 0.25 * Z(4)",3,9,1,"{\"smallest_eigenvalues\": [-13.75, -13.75, -13.75, -13.75, -13.75], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -12.75, \"smallest_bitstrings\": [\"100101000\", \"100100000\", \"100101100\", \"100101110\", \"100111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0023) q[0];\nrz(0.0037) q[0];\nrx(3.1444) q[1];\nrz(0.0008) q[1];\nrx(-1.6345) q[2];\nrz(0.0022) q[2];\nrx(-0.0025) q[3];\nrz(0.0026) q[3];\nrx(2.9445) q[4];\nrz(0.0007) q[4];\nrx(-0.0024) q[5];\nrz(0.0016) q[5];\nrx(-0.0026) q[6];\nrz(0.0077) q[6];\nrx(-0.0037) q[7];\nrz(0.0015) q[7];\nrx(-3.1444) q[8];\nrz(0.0043) q[8];\ncrz(0.0039) q[8], q[7];\ncrz(0.009) q[7], q[6];\ncrz(0.0003) q[6], q[5];\ncrz(0.0093) q[5], q[4];\ncrz(0.0075) q[4], q[3];\ncrz(0.0078) q[3], q[2];\ncrz(0.0035) q[2], q[1];\ncrz(0.0053) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[7];\ncrz(x19) q[7], q[6];\ncrz(x20) q[6], q[5];\ncrz(x21) q[5], q[4];\ncrz(x22) q[4], q[3];\ncrz(x23) q[3], q[2];\ncrz(x24) q[2], q[1];\ncrz(x25) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["ae38f088eb7d13f4a1aaeed7b82ca76a","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 4, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 4, \"source\": 5, \"target\": 4}]}","{\"states\": [0, 1], \"expectation_value\": -14.45004442172554, \"params\": [0.005200000000000001, 0.2994, 0.0044, 0.44620000000000004, 0.0057, -0.3462, 0.0048000000000000004, -0.4429, 0.0035, 0.4554, 0.0023, 0.3548, 0.6013000000000001, 0.0013000000000000002, -0.0002, 0.3899, -0.0007, 0.3678, 0.002, 0.39080000000000004, -0.0007, -0.37120000000000003, 0.0019, 0.4597, 0.0041, 0.3078, 0.6014, 0.0007, 0.0046, 0.0026000000000000003, 0.0047, 0.0023, -0.001, 0.0079, 0.0051, 0.0056, 0.0035, 0.004200000000000001, 0.0023, 0.0001, 0.6039, 0.0008, -0.4434, 0.3563, 0.45180000000000003, -0.4441, -0.3512, 0.0112, -0.3619, -0.38120000000000004, 0.38220000000000004, -0.45, -0.2939, 0.01, 0.0064, 0.005200000000000001, 0.004, 0.0077, 0.0014, 0.0097], \"bitstrings\": [\"1111111\", \"1111110\"], \"total_optimization_steps\": 60, \"probabilities\": [0.38316813921586435, 0.6167459074021614], \"optimization_time\": 6.087361812591553}","-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + 1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 1.5 * Z(6)",3,7,3,"{\"smallest_eigenvalues\": [-16.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.75, \"smallest_bitstrings\": [\"1111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0052) q[0];\nrz(0.2994) q[0];\nrx(0.0044) q[1];\nrz(0.4462) q[1];\nrx(0.0057) q[2];\nrz(-0.3462) q[2];\nrx(0.0048) q[3];\nrz(-0.4429) q[3];\nrx(0.0035) q[4];\nrz(0.4554) q[4];\nrx(0.0023) q[5];\nrz(0.3548) q[5];\nrx(0.6013) q[6];\nrz(0.0013) q[6];\ncrz(0.0112) q[6], q[5];\ncrz(-0.3512) q[5], q[4];\ncrz(-0.4441) q[4], q[3];\ncrz(0.4518) q[3], q[2];\ncrz(0.3563) q[2], q[1];\ncrz(-0.4434) q[1], q[0];\nrx(-0.0002) q[0];\nrz(0.3899) q[0];\nrx(-0.0007) q[1];\nrz(0.3678) q[1];\nrx(0.002) q[2];\nrz(0.3908) q[2];\nrx(-0.0007) q[3];\nrz(-0.3712) q[3];\nrx(0.0019) q[4];\nrz(0.4597) q[4];\nrx(0.0041) q[5];\nrz(0.3078) q[5];\nrx(0.6014) q[6];\nrz(0.0007) q[6];\ncrz(0.01) q[6], q[5];\ncrz(-0.2939) q[5], q[4];\ncrz(-0.45) q[4], q[3];\ncrz(0.3822) q[3], q[2];\ncrz(-0.3812) q[2], q[1];\ncrz(-0.3619) q[1], q[0];\nrx(0.0046) q[0];\nrz(0.0026) q[0];\nrx(0.0047) q[1];\nrz(0.0023) q[1];\nrx(-0.001) q[2];\nrz(0.0079) q[2];\nrx(0.0051) q[3];\nrz(0.0056) q[3];\nrx(0.0035) q[4];\nrz(0.0042) q[4];\nrx(0.0023) q[5];\nrz(0.0001) q[5];\nrx(0.6039) q[6];\nrz(0.0008) q[6];\ncrz(0.0097) q[6], q[5];\ncrz(0.0014) q[5], q[4];\ncrz(0.0077) q[4], q[3];\ncrz(0.004) q[3], q[2];\ncrz(0.0052) q[2], q[1];\ncrz(0.0064) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[6], q[5];\ncrz(x15) q[5], q[4];\ncrz(x16) q[4], q[3];\ncrz(x17) q[3], q[2];\ncrz(x18) q[2], q[1];\ncrz(x19) q[1], q[0];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x22) q[3];\nrz(x26) q[3];\nrx(x27) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x30) q[5];\nrx(x31) q[6];\nrz(x32) q[6];\ncrz(x33) q[6], q[5];\ncrz(x34) q[5], q[4];\ncrz(x35) q[4], q[3];\ncrz(x36) q[3], q[2];\ncrz(x37) q[2], q[1];\ncrz(x38) q[1], q[0];\nrx(x39) q[0];\nrz(x40) q[0];\nrx(x41) q[1];\nrz(x10) q[1];\nrx(x42) q[2];\nrz(x43) q[2];\nrx(x44) q[3];\nrz(x45) q[3];\nrx(x8) q[4];\nrz(x46) q[4];\nrx(x10) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\ncrz(x50) q[6], q[5];\ncrz(x51) q[5], q[4];\ncrz(x52) q[4], q[3];\ncrz(x53) q[3], q[2];\ncrz(x0) q[2], q[1];\ncrz(x54) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["4700601e722e5f0a0c40acc2968ffc97","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [5, 10], \"expectation_value\": -0.40023232144506704, \"params\": [[0.0524, 0.019100000000000002, 0.0536, 0.08080000000000001], [-0.0623, -0.0106, -0.0216, -0.0558]], \"bitstrings\": [\"11010\", \"10101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.039525079950370995, 0.04171095098567178], \"optimization_time\": 3.860750198364258}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2)",1,5,4,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"10011\", \"11010\", \"01011\", \"10101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(0.0524) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.0524) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0524) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0524) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0524) q[4];\ncx q[3], q[4];\ncx q[3], q[2];\nrz(0.0524) q[2];\ncx q[3], q[2];\nrz(-0.0524) q[1];\nrz(-0.1048) q[0];\nrz(-0.1048) q[3];\nrz(-0.1048) q[4];\nrz(0) q[2];\nh q[0];\nrz(-0.1246) q[0];\nh q[0];\nh q[1];\nrz(-0.1246) q[1];\nh q[1];\nh q[2];\nrz(-0.1246) q[2];\nh q[2];\nh q[3];\nrz(-0.1246) q[3];\nh q[3];\nh q[4];\nrz(-0.1246) q[4];\nh q[4];\ncx q[1], q[0];\nrz(0.0191) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.0191) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0191) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0191) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0191) q[4];\ncx q[3], q[4];\ncx q[3], q[2];\nrz(0.0191) q[2];\ncx q[3], q[2];\nrz(-0.0191) q[1];\nrz(-0.0382) q[0];\nrz(-0.0382) q[3];\nrz(-0.0382) q[4];\nrz(0) q[2];\nh q[0];\nrz(-0.0212) q[0];\nh q[0];\nh q[1];\nrz(-0.0212) q[1];\nh q[1];\nh q[2];\nrz(-0.0212) q[2];\nh q[2];\nh q[3];\nrz(-0.0212) q[3];\nh q[3];\nh q[4];\nrz(-0.0212) q[4];\nh q[4];\ncx q[1], q[0];\nrz(0.0536) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.0536) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0536) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0536) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0536) q[4];\ncx q[3], q[4];\ncx q[3], q[2];\nrz(0.0536) q[2];\ncx q[3], q[2];\nrz(-0.0536) q[1];\nrz(-0.1072) q[0];\nrz(-0.1072) q[3];\nrz(-0.1072) q[4];\nrz(0) q[2];\nh q[0];\nrz(-0.0432) q[0];\nh q[0];\nh q[1];\nrz(-0.0432) q[1];\nh q[1];\nh q[2];\nrz(-0.0432) q[2];\nh q[2];\nh q[3];\nrz(-0.0432) q[3];\nh q[3];\nh q[4];\nrz(-0.0432) q[4];\nh q[4];\ncx q[1], q[0];\nrz(0.0808) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.0808) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0808) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0808) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0808) q[4];\ncx q[3], q[4];\ncx q[3], q[2];\nrz(0.0808) q[2];\ncx q[3], q[2];\nrz(-0.0808) q[1];\nrz(-0.1616) q[0];\nrz(-0.1616) q[3];\nrz(-0.1616) q[4];\nrz(0) q[2];\nh q[0];\nrz(-0.1116) q[0];\nh q[0];\nh q[1];\nrz(-0.1116) q[1];\nh q[1];\nh q[2];\nrz(-0.1116) q[2];\nh q[2];\nh q[3];\nrz(-0.1116) q[3];\nh q[3];\nh q[4];\nrz(-0.1116) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x3) q[2];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x5) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x5) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\ncx q[3], q[2];\nrz(x5) q[2];\ncx q[3], q[2];\nrz(x6) q[1];\nrz(x7) q[0];\nrz(x7) q[3];\nrz(x7) q[4];\nrz(x3) q[2];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[3], q[2];\nrz(x9) q[2];\ncx q[3], q[2];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x11) q[3];\nrz(x11) q[4];\nrz(x3) q[2];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x13) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x13) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x13) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x13) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x13) q[4];\ncx q[3], q[4];\ncx q[3], q[2];\nrz(x13) q[2];\ncx q[3], q[2];\nrz(x14) q[1];\nrz(x15) q[0];\nrz(x15) q[3];\nrz(x15) q[4];\nrz(x3) q[2];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["0b4befd1b6021b98538c021e6b01d7d2","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 6}, {\"weight\": 11, \"source\": 0, \"target\": 4}, {\"weight\": 19, \"source\": 1, \"target\": 2}, {\"weight\": 20, \"source\": 1, \"target\": 3}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 16, \"source\": 3, \"target\": 4}, {\"weight\": 3, \"source\": 4, \"target\": 5}]}","{\"states\": [218, 122], \"expectation_value\": -6.956780316506979, \"params\": [[0.014700000000000001, 0.022000000000000002, -0.038900000000000004], [-0.0229, -0.0361, 0.0054]], \"bitstrings\": [\"00100101\", \"10000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005689936823964795, 0.006402174126870184], \"optimization_time\": 5.894106149673462}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 6.5 * Z(2) + 13.5 * Z(3) + 18.0 * Z(4) + 5.5 * Z(5) + 16.0 * Z(6) + 1.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-71.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -60.5, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.1176) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1176) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1176) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.1176) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(0.1176) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.1176) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(0.1176) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.1176) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.1176) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(0.1176) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.1176) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.1176) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(0.1176) q[7];\ncx q[6], q[7];\nrz(0.3969) q[1];\nrz(0.2646) q[0];\nrz(0.1911) q[2];\nrz(0.3969) q[3];\nrz(0.5292) q[4];\nrz(0.1617) q[5];\nrz(0.4704) q[6];\nrz(0.0441) q[7];\nh q[0];\nrz(-0.0458) q[0];\nh q[0];\nh q[1];\nrz(-0.0458) q[1];\nh q[1];\nh q[2];\nrz(-0.0458) q[2];\nh q[2];\nh q[3];\nrz(-0.0458) q[3];\nh q[3];\nh q[4];\nrz(-0.0458) q[4];\nh q[4];\nh q[5];\nrz(-0.0458) q[5];\nh q[5];\nh q[6];\nrz(-0.0458) q[6];\nh q[6];\nh q[7];\nrz(-0.0458) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.176) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.176) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.176) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.176) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(0.176) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.176) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(0.176) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.176) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.176) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(0.176) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.176) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.176) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(0.176) q[7];\ncx q[6], q[7];\nrz(0.594) q[1];\nrz(0.396) q[0];\nrz(0.286) q[2];\nrz(0.594) q[3];\nrz(0.792) q[4];\nrz(0.242) q[5];\nrz(0.704) q[6];\nrz(0.066) q[7];\nh q[0];\nrz(-0.0722) q[0];\nh q[0];\nh q[1];\nrz(-0.0722) q[1];\nh q[1];\nh q[2];\nrz(-0.0722) q[2];\nh q[2];\nh q[3];\nrz(-0.0722) q[3];\nh q[3];\nh q[4];\nrz(-0.0722) q[4];\nh q[4];\nh q[5];\nrz(-0.0722) q[5];\nh q[5];\nh q[6];\nrz(-0.0722) q[6];\nh q[6];\nh q[7];\nrz(-0.0722) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.3112) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.3112) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.3112) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.3112) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(-0.3112) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.3112) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.3112) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.3112) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.3112) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(-0.3112) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.3112) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.3112) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.3112) q[7];\ncx q[6], q[7];\nrz(-1.0503) q[1];\nrz(-0.7002) q[0];\nrz(-0.5057) q[2];\nrz(-1.0503) q[3];\nrz(-1.4004) q[4];\nrz(-0.4279) q[5];\nrz(-1.2448) q[6];\nrz(-0.1167) q[7];\nh q[0];\nrz(0.0108) q[0];\nh q[0];\nh q[1];\nrz(0.0108) q[1];\nh q[1];\nh q[2];\nrz(0.0108) q[2];\nh q[2];\nh q[3];\nrz(0.0108) q[3];\nh q[3];\nh q[4];\nrz(0.0108) q[4];\nh q[4];\nh q[5];\nrz(0.0108) q[5];\nh q[5];\nh q[6];\nrz(0.0108) q[6];\nh q[6];\nh q[7];\nrz(0.0108) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x1) q[3];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x7) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x9) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x9) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x10) q[3];\nrz(x13) q[4];\nrz(x14) q[5];\nrz(x15) q[6];\nrz(x16) q[7];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x18) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x18) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x18) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x18) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x18) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x18) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x18) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x18) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x18) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x18) q[7];\ncx q[6], q[7];\nrz(x19) q[1];\nrz(x20) q[0];\nrz(x21) q[2];\nrz(x19) q[3];\nrz(x22) q[4];\nrz(x23) q[5];\nrz(x24) q[6];\nrz(x25) q[7];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["-4197182956855702990","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[3, 4], [0, 1, 3, 5], [0, 1, 2, 3], [1, 2, 5], [0, 1, 4, 5], [0, 2, 4, 5], [0, 1, 2, 4]]}","{\"states\": [50, 45], \"expectation_value\": -0.07235804118054749, \"params\": [[0.0698], [-0.0738]], \"bitstrings\": [\"001101\", \"010010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01648554444550896, 0.016576188551297232], \"optimization_time\": 2.802363872528076}","0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.375 * Z(4) + 0.25 * Z(3) + 0.625 * Z(0) + 0.6666666666666666 * Z(1) + 0.5416666666666666 * Z(5) + 0.5416666666666666 * Z(2)",1,6,1,"{\"smallest_eigenvalues\": [-1.916666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.75, \"smallest_bitstrings\": [\"010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[4], q[3];\nrz(0.0698) q[3];\ncx q[4], q[3];\ncx q[4], q[0];\nrz(0.0349) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(0.0233) q[0];\ncx q[3], q[0];\ncx q[4], q[1];\nrz(0.0233) q[1];\ncx q[4], q[1];\ncx q[3], q[1];\nrz(0.0233) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.0465) q[1];\ncx q[0], q[1];\ncx q[4], q[5];\nrz(0.0233) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.0116) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(0.0349) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(0.0465) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(0.0233) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(0.0116) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.0349) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(0.0465) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(0.0349) q[2];\ncx q[5], q[2];\nrz(0.0524) q[4];\nrz(0.0349) q[3];\nrz(0.0872) q[0];\nrz(0.0931) q[1];\nrz(0.0756) q[5];\nrz(0.0756) q[2];\nh q[0];\nrz(-0.1476) q[0];\nh q[0];\nh q[1];\nrz(-0.1476) q[1];\nh q[1];\nh q[2];\nrz(-0.1476) q[2];\nh q[2];\nh q[3];\nrz(-0.1476) q[3];\nh q[3];\nh q[4];\nrz(-0.1476) q[4];\nh q[4];\nh q[5];\nrz(-0.1476) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[0];\nrz(x1) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[4], q[1];\nrz(x2) q[1];\ncx q[4], q[1];\ncx q[3], q[1];\nrz(x2) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x3) q[1];\ncx q[0], q[1];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[4], q[2];\nrz(x2) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(x4) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x1) q[2];\ncx q[5], q[2];\nrz(x5) q[4];\nrz(x1) q[3];\nrz(x6) q[0];\nrz(x7) q[1];\nrz(x8) q[5];\nrz(x8) q[2];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["44c348eb4d3479dc9843e8d54a45f09b","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 8}, {\"source\": 3, \"target\": 9}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 9}, {\"source\": 7, \"target\": 8}]}","{\"states\": [684, 748], \"expectation_value\": -5.037458544298946, \"params\": [[1.5812000000000002, -0.0018000000000000002, 1.586, 0.1233, 1.5817, 0.0019, 0.6061000000000001, 0.9365, 0.0022, -0.0017000000000000001], [1.5872000000000002, 0.0033, 1.5789, 1.6097000000000001, 1.5837, 0.0023, 1.6078000000000001, 1.6101, -0.0022, -0.0041]], \"bitstrings\": [\"0101010011\", \"0100010011\"], \"total_optimization_steps\": 160, \"probabilities\": [0.25186226379479953, 0.27222008881388327], \"optimization_time\": 16.660111904144287}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(6) @ Z(9)) + -1.0 * Z(1) + 0.0 * Z(0) + -0.5 * Z(4) + -0.5 * Z(7) + -0.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(9) + 0.0 * Z(6)",10,10,1,"{\"smallest_eigenvalues\": [-6.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"0100010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(1.5812) q[0];\nry(-0.0018) q[1];\nry(1.586) q[2];\nry(0.1233) q[3];\nry(1.5817) q[4];\nry(0.0019) q[5];\nry(0.6061) q[6];\nry(0.9365) q[7];\nry(0.0022) q[8];\nry(-0.0017) q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[9];\nry(1.5872) q[0];\nry(0.0033) q[1];\nry(1.5789) q[2];\nry(1.6097) q[3];\nry(1.5837) q[4];\nry(0.0023) q[5];\nry(1.6078) q[6];\nry(1.6101) q[7];\nry(-0.0022) q[8];\nry(-0.0041) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[9];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x17) q[7];\nry(x18) q[8];\nry(x19) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["bb85d0dab1e8b005266604f2de3ca5d7","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 9}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 8}, {\"source\": 1, \"target\": 9}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 8}, {\"source\": 2, \"target\": 9}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 9}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 5, \"target\": 9}, {\"source\": 7, \"target\": 8}]}","{\"states\": [772, 900], \"expectation_value\": -9.593018566166545, \"params\": [1.5679, 1.5679, 1.5707, 1.5669000000000002, 0.8794000000000001, 0.8788, -0.0028, -0.0028, -0.0028, -0.0029000000000000002, 0.0022, 0.0022, 0.0018000000000000002, 0.0018000000000000002, 1.5714000000000001, 1.5743, -0.003, -0.003, 0.002, 0.002, 1.1853, 0.0061, 0.0022, 0.0063, -0.001, 0.001, 0.0082, 0.00030000000000000003, -1.2963, 0.004, -1.0205, 0.0037, 1.3015, 0.0002, 1.0825, 0.008400000000000001, -0.0024000000000000002, 0.0022, -1.3092000000000001, 0.0009000000000000001], \"bitstrings\": [\"0011111011\", \"0001111011\"], \"total_optimization_steps\": 200, \"probabilities\": [0.406827081418062, 0.5931215407664857], \"optimization_time\": 31.420740127563477}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * Z(3) + -1.0 * Z(0) + -2.5 * Z(5) + -2.5 * Z(9) + -1.5 * Z(1) + -1.5 * Z(6) + -1.5 * Z(8) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(7)",13,10,1,"{\"smallest_eigenvalues\": [-10.0, -10.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -9.0, \"smallest_bitstrings\": [\"0111010101\", \"0001111011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(1.5679) q[0];\nry(1.5707) q[1];\nry(0.8794) q[2];\nry(-0.0028) q[3];\nry(-0.0028) q[4];\nry(0.0022) q[5];\nry(0.0018) q[6];\nry(1.5714) q[7];\nry(-0.003) q[8];\nry(0.002) q[9];\ncrz(1.1853) q[9], q[0];\ncrz(-1.3092) q[8], q[9];\ncrz(-0.0024) q[7], q[8];\ncrz(1.0825) q[6], q[7];\ncrz(1.3015) q[5], q[6];\ncrz(-1.0205) q[4], q[5];\ncrz(-1.2963) q[3], q[4];\ncrz(0.0082) q[2], q[3];\ncrz(-0.001) q[1], q[2];\ncrz(0.0022) q[0], q[1];\nry(1.5679) q[0];\nry(1.5669) q[1];\nry(0.8788) q[2];\nry(-0.0028) q[3];\nry(-0.0029) q[4];\nry(0.0022) q[5];\nry(0.0018) q[6];\nry(1.5743) q[7];\nry(-0.003) q[8];\nry(0.002) q[9];\ncrz(0.0061) q[9], q[8];\ncrz(0.0063) q[0], q[9];\ncrz(0.001) q[0], q[1];\ncrz(0.0003) q[1], q[2];\ncrz(0.004) q[2], q[3];\ncrz(0.0037) q[3], q[4];\ncrz(0.0002) q[4], q[5];\ncrz(0.0084) q[5], q[6];\ncrz(0.0022) q[6], q[7];\ncrz(0.0009) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x3) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x6) q[7];\nry(x7) q[8];\nry(x8) q[9];\ncrz(x9) q[9], q[0];\ncrz(x10) q[8], q[9];\ncrz(x11) q[7], q[8];\ncrz(x12) q[6], q[7];\ncrz(x13) q[5], q[6];\ncrz(x14) q[4], q[5];\ncrz(x15) q[3], q[4];\ncrz(x16) q[2], q[3];\ncrz(x17) q[1], q[2];\ncrz(x4) q[0], q[1];\nry(x0) q[0];\nry(x18) q[1];\nry(x19) q[2];\nry(x3) q[3];\nry(x20) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x21) q[7];\nry(x7) q[8];\nry(x8) q[9];\ncrz(x22) q[9], q[8];\ncrz(x23) q[0], q[9];\ncrz(x24) q[0], q[1];\ncrz(x25) q[1], q[2];\ncrz(x26) q[2], q[3];\ncrz(x27) q[3], q[4];\ncrz(x28) q[4], q[5];\ncrz(x29) q[5], q[6];\ncrz(x4) q[6], q[7];\ncrz(x30) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["668f90355fba57bcb4fb60386433c90f","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 3}, {\"weight\": 15, \"source\": 0, \"target\": 7}, {\"weight\": 4, \"source\": 1, \"target\": 4}, {\"weight\": 17, \"source\": 1, \"target\": 6}, {\"weight\": 19, \"source\": 1, \"target\": 3}, {\"weight\": 9, \"source\": 2, \"target\": 5}, {\"weight\": 17, \"source\": 2, \"target\": 7}, {\"weight\": 18, \"source\": 2, \"target\": 6}]}","{\"states\": [110, 107], \"expectation_value\": -17.0907517483564, \"params\": [[-0.0369, 0.0016], [0.0742, 0.0761]], \"bitstrings\": [\"10010001\", \"10010100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.011261060100379779, 0.012119080348273864], \"optimization_time\": 2.787576913833618}","4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-58.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -53.5, \"smallest_bitstrings\": [\"10010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[1];\nrz(-0.3321) q[1];\ncx q[0], q[1];\ncx q[0], q[2];\nrz(-0.3321) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(-0.3321) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(-0.3321) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.3321) q[3];\ncx q[4], q[3];\ncx q[4], q[6];\nrz(-0.3321) q[6];\ncx q[4], q[6];\ncx q[6], q[5];\nrz(-0.3321) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(-0.3321) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.3321) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(-0.3321) q[7];\ncx q[5], q[7];\nrz(-0.369) q[0];\nrz(-0.5535) q[1];\nrz(-1.0332) q[2];\nrz(-0.9594) q[4];\nrz(-0.1476) q[3];\nrz(-0.9963) q[6];\nrz(-0.3321) q[5];\nrz(-0.9594) q[7];\nh q[0];\nrz(0.1484) q[0];\nh q[0];\nh q[1];\nrz(0.1484) q[1];\nh q[1];\nh q[2];\nrz(0.1484) q[2];\nh q[2];\nh q[3];\nrz(0.1484) q[3];\nh q[3];\nh q[4];\nrz(0.1484) q[4];\nh q[4];\nh q[5];\nrz(0.1484) q[5];\nh q[5];\nh q[6];\nrz(0.1484) q[6];\nh q[6];\nh q[7];\nrz(0.1484) q[7];\nh q[7];\ncx q[0], q[1];\nrz(0.0144) q[1];\ncx q[0], q[1];\ncx q[0], q[2];\nrz(0.0144) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(0.0144) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(0.0144) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.0144) q[3];\ncx q[4], q[3];\ncx q[4], q[6];\nrz(0.0144) q[6];\ncx q[4], q[6];\ncx q[6], q[5];\nrz(0.0144) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(0.0144) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(0.0144) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(0.0144) q[7];\ncx q[5], q[7];\nrz(0.016) q[0];\nrz(0.024) q[1];\nrz(0.0448) q[2];\nrz(0.0416) q[4];\nrz(0.0064) q[3];\nrz(0.0432) q[6];\nrz(0.0144) q[5];\nrz(0.0416) q[7];\nh q[0];\nrz(0.1522) q[0];\nh q[0];\nh q[1];\nrz(0.1522) q[1];\nh q[1];\nh q[2];\nrz(0.1522) q[2];\nh q[2];\nh q[3];\nrz(0.1522) q[3];\nh q[3];\nh q[4];\nrz(0.1522) q[4];\nh q[4];\nh q[5];\nrz(0.1522) q[5];\nh q[5];\nh q[6];\nrz(0.1522) q[6];\nh q[6];\nh q[7];\nrz(0.1522) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\nrz(x1) q[0];\nrz(x2) q[1];\nrz(x3) q[2];\nrz(x4) q[4];\nrz(x5) q[3];\nrz(x6) q[6];\nrz(x0) q[5];\nrz(x4) q[7];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\ncx q[0], q[1];\nrz(x8) q[1];\ncx q[0], q[1];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[2], q[4];\nrz(x8) q[4];\ncx q[2], q[4];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x8) q[3];\ncx q[4], q[3];\ncx q[4], q[6];\nrz(x8) q[6];\ncx q[4], q[6];\ncx q[6], q[5];\nrz(x8) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x8) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x8) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(x8) q[7];\ncx q[5], q[7];\nrz(x9) q[0];\nrz(x10) q[1];\nrz(x11) q[2];\nrz(x12) q[4];\nrz(x13) q[3];\nrz(x14) q[6];\nrz(x8) q[5];\nrz(x12) q[7];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["a07625cca84d78086a82f53802ed13a6","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 9}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 3, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 8}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 8}, {\"capacity\": 1, \"source\": 6, \"target\": 7}, {\"capacity\": 2, \"source\": 7, \"target\": 1}, {\"capacity\": 2, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 3, \"source\": 8, \"target\": 1}]}","{\"states\": [0, 1], \"expectation_value\": -10.870657492217296, \"params\": [-0.0952, -0.0005, -0.0956, -0.0015, 0.0032, 0.1638, 0.0005, 0.15430000000000002, 0.0029000000000000002, 0.1617, 0.0022, 0.16190000000000002, -0.0038, 0.1427, 0.006500000000000001, 0.1608, 0.0001, 0.15760000000000002, -0.003, 0.1401, -0.0006000000000000001, 0.1626, 0.0039000000000000003, 0.1704, 0.0017000000000000001, 0.1564, 0.0009000000000000001, 0.1593, -0.0011, 0.1534, 0.0027, 0.1663, -0.0004, 0.1458, -0.00030000000000000003, 0.1459, 0.19740000000000002, 0.00030000000000000003, 0.2053, 0.0001, -0.094, 0.0063, -0.048100000000000004, -0.0082, 0.0002, 0.15610000000000002, 0.0036000000000000003, 0.1535, 0.0033, 0.1563, 0.0019, 0.1675, 0.0015, 0.1661, 0.0017000000000000001, 0.1723, 0.00030000000000000003, 0.1491, 0.0033, 0.1466, 0.0053, 0.1653, 0.001, 0.161, 0.0041, 0.16190000000000002, 0.004200000000000001, 0.1622, 0.0027, 0.1719, 0.0013000000000000002, 0.1661, 0.0008, 0.14880000000000002, 0.0041, 0.1655, 0.1973, 0.0002, 0.1998, 0.0002, -0.0459, 0.0029000000000000002, 0.0746, -0.0091, 0.0058000000000000005, 0.16, 0.0063, 0.1714, 0.0011, 0.1633, -0.00030000000000000003, 0.1675, 0.0073, 0.1622, 0.0014, 0.1631, 0.0048000000000000004, 0.1544, 0.0051, 0.1637, 0.0028, 0.1691, -0.0032, 0.16970000000000002, 0.005, 0.1668, 0.0036000000000000003, 0.16160000000000002, 0.0051, 0.1743, -0.0008, 0.1658, 0.0035, 0.16790000000000002, -0.0031000000000000003, 0.1173, 0.2005, 0.0002, 0.20140000000000002, 0.00030000000000000003, 0.0771, -0.0029000000000000002, 0.1262, 0.0091, -0.0001, 0.1472, 0.0047, 0.0022, -0.0006000000000000001, 0.15660000000000002, 0.006, 0.0089, 0.0016, 0.1553, -0.0016, 0.0031000000000000003, 0.0008, 0.1496, 0.0039000000000000003, 0.0013000000000000002, 0.0032, 0.1663, 0.0033, 0.004, 0.0028, 0.1676, 0.0013000000000000002, 0.0016, 0.0059, 0.1622, -0.002, 0.0041, 0.0023, 0.10790000000000001, 0.0043, 0.0014, 0.2059, 0.0004, 0.20120000000000002, 0.0046, 0.0114, -0.0067, -0.0019, -0.0119, -0.014700000000000001, -0.024200000000000003, -0.0151, -0.010700000000000001, -0.0071, 0.1589, 0.0207, -0.0155, -0.0054, 0.0001, -0.0109, -0.0004, -0.0024000000000000002, -0.0001, -0.0005, 0.1971, 0.0601, 0.0007, 0.0036000000000000003, -0.004200000000000001, 0.0023, 0.0029000000000000002, -0.0007, -0.0055000000000000005, -0.0049, 0.19590000000000002, 0.10200000000000001, 0.0041, 0.0014, 0.0034000000000000002, 0.0001, -0.0005, 0.0025, 0.0047, 0.0066, 0.1899], \"bitstrings\": [\"1111111111\", \"1111111110\"], \"total_optimization_steps\": 20, \"probabilities\": [0.4745250292945742, 0.5244829986575109], \"optimization_time\": 139.46038460731506}","-0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(4)) + 0.25 * Z(5) + -0.25 * Z(0) + -1.75 * Z(6) + 0.5 * Z(7) + 1.0 * Z(1) + -1.25 * Z(2) + 1.25 * Z(9) + 1.25 * Z(4) + -0.75 * Z(3) + -0.25 * Z(8)",6,10,4,"{\"smallest_eigenvalues\": [-13.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -10.25, \"smallest_bitstrings\": [\"1111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.0952) q[0];\nrz(-0.0005) q[0];\nrx(0.0032) q[1];\nrz(0.1638) q[1];\nrx(0.0029) q[2];\nrz(0.1617) q[2];\nrx(-0.0038) q[3];\nrz(0.1427) q[3];\nrx(0.0001) q[4];\nrz(0.1576) q[4];\nrx(-0.0006) q[5];\nrz(0.1626) q[5];\nrx(0.0017) q[6];\nrz(0.1564) q[6];\nrx(-0.0011) q[7];\nrz(0.1534) q[7];\nrx(-0.0004) q[8];\nrz(0.1458) q[8];\nrx(0.1974) q[9];\nrz(0.0003) q[9];\ncrx(-0.0071) q[9], q[8];\ncrx(-0.0107) q[9], q[7];\ncrx(-0.0151) q[9], q[6];\ncrx(-0.0242) q[9], q[5];\ncrx(-0.0147) q[9], q[4];\ncrx(-0.0119) q[9], q[3];\ncrx(-0.0019) q[9], q[2];\ncrx(-0.0067) q[9], q[1];\ncrx(0.0114) q[9], q[0];\ncrx(0.1589) q[8], q[9];\ncrx(-0.0107) q[8], q[7];\ncrx(-0.0151) q[8], q[6];\ncrx(-0.0242) q[8], q[5];\ncrx(-0.0147) q[8], q[4];\ncrx(-0.0119) q[8], q[3];\ncrx(-0.0019) q[8], q[2];\ncrx(-0.0067) q[8], q[1];\ncrx(0.0114) q[8], q[0];\ncrx(0.1589) q[7], q[9];\ncrx(-0.0071) q[7], q[8];\ncrx(-0.0151) q[7], q[6];\ncrx(-0.0242) q[7], q[5];\ncrx(-0.0147) q[7], q[4];\ncrx(-0.0119) q[7], q[3];\ncrx(-0.0019) q[7], q[2];\ncrx(-0.0067) q[7], q[1];\ncrx(0.0114) q[7], q[0];\ncrx(0.1589) q[6], q[9];\ncrx(-0.0071) q[6], q[8];\ncrx(-0.0107) q[6], q[7];\ncrx(-0.0242) q[6], q[5];\ncrx(-0.0147) q[6], q[4];\ncrx(-0.0119) q[6], q[3];\ncrx(-0.0019) q[6], q[2];\ncrx(-0.0067) q[6], q[1];\ncrx(0.0114) q[6], q[0];\ncrx(0.1589) q[5], q[9];\ncrx(-0.0071) q[5], q[8];\ncrx(-0.0107) q[5], q[7];\ncrx(-0.0151) q[5], q[6];\ncrx(-0.0147) q[5], q[4];\ncrx(-0.0119) q[5], q[3];\ncrx(-0.0019) q[5], q[2];\ncrx(-0.0067) q[5], q[1];\ncrx(0.0114) q[5], q[0];\ncrx(0.1589) q[4], q[9];\ncrx(-0.0071) q[4], q[8];\ncrx(-0.0107) q[4], q[7];\ncrx(-0.0151) q[4], q[6];\ncrx(-0.0242) q[4], q[5];\ncrx(-0.0119) q[4], q[3];\ncrx(-0.0019) q[4], q[2];\ncrx(-0.0067) q[4], q[1];\ncrx(0.0114) q[4], q[0];\ncrx(0.1589) q[3], q[9];\ncrx(-0.0071) q[3], q[8];\ncrx(-0.0107) q[3], q[7];\ncrx(-0.0151) q[3], q[6];\ncrx(-0.0242) q[3], q[5];\ncrx(-0.0147) q[3], q[4];\ncrx(-0.0019) q[3], q[2];\ncrx(-0.0067) q[3], q[1];\ncrx(0.0114) q[3], q[0];\ncrx(0.1589) q[2], q[9];\ncrx(-0.0071) q[2], q[8];\ncrx(-0.0107) q[2], q[7];\ncrx(-0.0151) q[2], q[6];\ncrx(-0.0242) q[2], q[5];\ncrx(-0.0147) q[2], q[4];\ncrx(-0.0119) q[2], q[3];\ncrx(-0.0067) q[2], q[1];\ncrx(0.0114) q[2], q[0];\ncrx(0.1589) q[1], q[9];\ncrx(-0.0071) q[1], q[8];\ncrx(-0.0107) q[1], q[7];\ncrx(-0.0151) q[1], q[6];\ncrx(-0.0242) q[1], q[5];\ncrx(-0.0147) q[1], q[4];\ncrx(-0.0119) q[1], q[3];\ncrx(-0.0019) q[1], q[2];\ncrx(0.0114) q[1], q[0];\ncrx(0.1589) q[0], q[9];\ncrx(-0.0071) q[0], q[8];\ncrx(-0.0107) q[0], q[7];\ncrx(-0.0151) q[0], q[6];\ncrx(-0.0242) q[0], q[5];\ncrx(-0.0147) q[0], q[4];\ncrx(-0.0119) q[0], q[3];\ncrx(-0.0019) q[0], q[2];\ncrx(-0.0067) q[0], q[1];\nrx(-0.0956) q[0];\nrz(-0.0015) q[0];\nrx(0.0005) q[1];\nrz(0.1543) q[1];\nrx(0.0022) q[2];\nrz(0.1619) q[2];\nrx(0.0065) q[3];\nrz(0.1608) q[3];\nrx(-0.003) q[4];\nrz(0.1401) q[4];\nrx(0.0039) q[5];\nrz(0.1704) q[5];\nrx(0.0009) q[6];\nrz(0.1593) q[6];\nrx(0.0027) q[7];\nrz(0.1663) q[7];\nrx(-0.0003) q[8];\nrz(0.1459) q[8];\nrx(0.2053) q[9];\nrz(0.0001) q[9];\nrx(-0.094) q[0];\nrz(0.0063) q[0];\nrx(0.0002) q[1];\nrz(0.1561) q[1];\nrx(0.0033) q[2];\nrz(0.1563) q[2];\nrx(0.0015) q[3];\nrz(0.1661) q[3];\nrx(0.0003) q[4];\nrz(0.1491) q[4];\nrx(0.0053) q[5];\nrz(0.1653) q[5];\nrx(0.0041) q[6];\nrz(0.1619) q[6];\nrx(0.0027) q[7];\nrz(0.1719) q[7];\nrx(0.0008) q[8];\nrz(0.1488) q[8];\nrx(0.1973) q[9];\nrz(0.0002) q[9];\ncrx(-0.0005) q[9], q[8];\ncrx(-0.0001) q[9], q[7];\ncrx(-0.0024) q[9], q[6];\ncrx(-0.0004) q[9], q[5];\ncrx(-0.0109) q[9], q[4];\ncrx(0.0001) q[9], q[3];\ncrx(-0.0054) q[9], q[2];\ncrx(-0.0155) q[9], q[1];\ncrx(0.0207) q[9], q[0];\ncrx(0.1971) q[8], q[9];\ncrx(-0.0001) q[8], q[7];\ncrx(-0.0024) q[8], q[6];\ncrx(-0.0004) q[8], q[5];\ncrx(-0.0109) q[8], q[4];\ncrx(0.0001) q[8], q[3];\ncrx(-0.0054) q[8], q[2];\ncrx(-0.0155) q[8], q[1];\ncrx(0.0207) q[8], q[0];\ncrx(0.1971) q[7], q[9];\ncrx(-0.0005) q[7], q[8];\ncrx(-0.0024) q[7], q[6];\ncrx(-0.0004) q[7], q[5];\ncrx(-0.0109) q[7], q[4];\ncrx(0.0001) q[7], q[3];\ncrx(-0.0054) q[7], q[2];\ncrx(-0.0155) q[7], q[1];\ncrx(0.0207) q[7], q[0];\ncrx(0.1971) q[6], q[9];\ncrx(-0.0005) q[6], q[8];\ncrx(-0.0001) q[6], q[7];\ncrx(-0.0004) q[6], q[5];\ncrx(-0.0109) q[6], q[4];\ncrx(0.0001) q[6], q[3];\ncrx(-0.0054) q[6], q[2];\ncrx(-0.0155) q[6], q[1];\ncrx(0.0207) q[6], q[0];\ncrx(0.1971) q[5], q[9];\ncrx(-0.0005) q[5], q[8];\ncrx(-0.0001) q[5], q[7];\ncrx(-0.0024) q[5], q[6];\ncrx(-0.0109) q[5], q[4];\ncrx(0.0001) q[5], q[3];\ncrx(-0.0054) q[5], q[2];\ncrx(-0.0155) q[5], q[1];\ncrx(0.0207) q[5], q[0];\ncrx(0.1971) q[4], q[9];\ncrx(-0.0005) q[4], q[8];\ncrx(-0.0001) q[4], q[7];\ncrx(-0.0024) q[4], q[6];\ncrx(-0.0004) q[4], q[5];\ncrx(0.0001) q[4], q[3];\ncrx(-0.0054) q[4], q[2];\ncrx(-0.0155) q[4], q[1];\ncrx(0.0207) q[4], q[0];\ncrx(0.1971) q[3], q[9];\ncrx(-0.0005) q[3], q[8];\ncrx(-0.0001) q[3], q[7];\ncrx(-0.0024) q[3], q[6];\ncrx(-0.0004) q[3], q[5];\ncrx(-0.0109) q[3], q[4];\ncrx(-0.0054) q[3], q[2];\ncrx(-0.0155) q[3], q[1];\ncrx(0.0207) q[3], q[0];\ncrx(0.1971) q[2], q[9];\ncrx(-0.0005) q[2], q[8];\ncrx(-0.0001) q[2], q[7];\ncrx(-0.0024) q[2], q[6];\ncrx(-0.0004) q[2], q[5];\ncrx(-0.0109) q[2], q[4];\ncrx(0.0001) q[2], q[3];\ncrx(-0.0155) q[2], q[1];\ncrx(0.0207) q[2], q[0];\ncrx(0.1971) q[1], q[9];\ncrx(-0.0005) q[1], q[8];\ncrx(-0.0001) q[1], q[7];\ncrx(-0.0024) q[1], q[6];\ncrx(-0.0004) q[1], q[5];\ncrx(-0.0109) q[1], q[4];\ncrx(0.0001) q[1], q[3];\ncrx(-0.0054) q[1], q[2];\ncrx(0.0207) q[1], q[0];\ncrx(0.1971) q[0], q[9];\ncrx(-0.0005) q[0], q[8];\ncrx(-0.0001) q[0], q[7];\ncrx(-0.0024) q[0], q[6];\ncrx(-0.0004) q[0], q[5];\ncrx(-0.0109) q[0], q[4];\ncrx(0.0001) q[0], q[3];\ncrx(-0.0054) q[0], q[2];\ncrx(-0.0155) q[0], q[1];\nrx(-0.0481) q[0];\nrz(-0.0082) q[0];\nrx(0.0036) q[1];\nrz(0.1535) q[1];\nrx(0.0019) q[2];\nrz(0.1675) q[2];\nrx(0.0017) q[3];\nrz(0.1723) q[3];\nrx(0.0033) q[4];\nrz(0.1466) q[4];\nrx(0.001) q[5];\nrz(0.161) q[5];\nrx(0.0042) q[6];\nrz(0.1622) q[6];\nrx(0.0013) q[7];\nrz(0.1661) q[7];\nrx(0.0041) q[8];\nrz(0.1655) q[8];\nrx(0.1998) q[9];\nrz(0.0002) q[9];\nrx(-0.0459) q[0];\nrz(0.0029) q[0];\nrx(0.0058) q[1];\nrz(0.16) q[1];\nrx(0.0011) q[2];\nrz(0.1633) q[2];\nrx(0.0073) q[3];\nrz(0.1622) q[3];\nrx(0.0048) q[4];\nrz(0.1544) q[4];\nrx(0.0028) q[5];\nrz(0.1691) q[5];\nrx(0.005) q[6];\nrz(0.1668) q[6];\nrx(0.0051) q[7];\nrz(0.1743) q[7];\nrx(0.0035) q[8];\nrz(0.1679) q[8];\nrx(0.2005) q[9];\nrz(0.0002) q[9];\ncrx(-0.0049) q[9], q[8];\ncrx(-0.0055) q[9], q[7];\ncrx(-0.0007) q[9], q[6];\ncrx(0.0029) q[9], q[5];\ncrx(0.0023) q[9], q[4];\ncrx(-0.0042) q[9], q[3];\ncrx(0.0036) q[9], q[2];\ncrx(0.0007) q[9], q[1];\ncrx(0.0601) q[9], q[0];\ncrx(0.1959) q[8], q[9];\ncrx(-0.0055) q[8], q[7];\ncrx(-0.0007) q[8], q[6];\ncrx(0.0029) q[8], q[5];\ncrx(0.0023) q[8], q[4];\ncrx(-0.0042) q[8], q[3];\ncrx(0.0036) q[8], q[2];\ncrx(0.0007) q[8], q[1];\ncrx(0.0601) q[8], q[0];\ncrx(0.1959) q[7], q[9];\ncrx(-0.0049) q[7], q[8];\ncrx(-0.0007) q[7], q[6];\ncrx(0.0029) q[7], q[5];\ncrx(0.0023) q[7], q[4];\ncrx(-0.0042) q[7], q[3];\ncrx(0.0036) q[7], q[2];\ncrx(0.0007) q[7], q[1];\ncrx(0.0601) q[7], q[0];\ncrx(0.1959) q[6], q[9];\ncrx(-0.0049) q[6], q[8];\ncrx(-0.0055) q[6], q[7];\ncrx(0.0029) q[6], q[5];\ncrx(0.0023) q[6], q[4];\ncrx(-0.0042) q[6], q[3];\ncrx(0.0036) q[6], q[2];\ncrx(0.0007) q[6], q[1];\ncrx(0.0601) q[6], q[0];\ncrx(0.1959) q[5], q[9];\ncrx(-0.0049) q[5], q[8];\ncrx(-0.0055) q[5], q[7];\ncrx(-0.0007) q[5], q[6];\ncrx(0.0023) q[5], q[4];\ncrx(-0.0042) q[5], q[3];\ncrx(0.0036) q[5], q[2];\ncrx(0.0007) q[5], q[1];\ncrx(0.0601) q[5], q[0];\ncrx(0.1959) q[4], q[9];\ncrx(-0.0049) q[4], q[8];\ncrx(-0.0055) q[4], q[7];\ncrx(-0.0007) q[4], q[6];\ncrx(0.0029) q[4], q[5];\ncrx(-0.0042) q[4], q[3];\ncrx(0.0036) q[4], q[2];\ncrx(0.0007) q[4], q[1];\ncrx(0.0601) q[4], q[0];\ncrx(0.1959) q[3], q[9];\ncrx(-0.0049) q[3], q[8];\ncrx(-0.0055) q[3], q[7];\ncrx(-0.0007) q[3], q[6];\ncrx(0.0029) q[3], q[5];\ncrx(0.0023) q[3], q[4];\ncrx(0.0036) q[3], q[2];\ncrx(0.0007) q[3], q[1];\ncrx(0.0601) q[3], q[0];\ncrx(0.1959) q[2], q[9];\ncrx(-0.0049) q[2], q[8];\ncrx(-0.0055) q[2], q[7];\ncrx(-0.0007) q[2], q[6];\ncrx(0.0029) q[2], q[5];\ncrx(0.0023) q[2], q[4];\ncrx(-0.0042) q[2], q[3];\ncrx(0.0007) q[2], q[1];\ncrx(0.0601) q[2], q[0];\ncrx(0.1959) q[1], q[9];\ncrx(-0.0049) q[1], q[8];\ncrx(-0.0055) q[1], q[7];\ncrx(-0.0007) q[1], q[6];\ncrx(0.0029) q[1], q[5];\ncrx(0.0023) q[1], q[4];\ncrx(-0.0042) q[1], q[3];\ncrx(0.0036) q[1], q[2];\ncrx(0.0601) q[1], q[0];\ncrx(0.1959) q[0], q[9];\ncrx(-0.0049) q[0], q[8];\ncrx(-0.0055) q[0], q[7];\ncrx(-0.0007) q[0], q[6];\ncrx(0.0029) q[0], q[5];\ncrx(0.0023) q[0], q[4];\ncrx(-0.0042) q[0], q[3];\ncrx(0.0036) q[0], q[2];\ncrx(0.0007) q[0], q[1];\nrx(0.0746) q[0];\nrz(-0.0091) q[0];\nrx(0.0063) q[1];\nrz(0.1714) q[1];\nrx(-0.0003) q[2];\nrz(0.1675) q[2];\nrx(0.0014) q[3];\nrz(0.1631) q[3];\nrx(0.0051) q[4];\nrz(0.1637) q[4];\nrx(-0.0032) q[5];\nrz(0.1697) q[5];\nrx(0.0036) q[6];\nrz(0.1616) q[6];\nrx(-0.0008) q[7];\nrz(0.1658) q[7];\nrx(-0.0031) q[8];\nrz(0.1173) q[8];\nrx(0.2014) q[9];\nrz(0.0003) q[9];\nrx(0.0771) q[0];\nrz(-0.0029) q[0];\nrx(-0.0001) q[1];\nrz(0.1472) q[1];\nrx(-0.0006) q[2];\nrz(0.1566) q[2];\nrx(0.0016) q[3];\nrz(0.1553) q[3];\nrx(0.0008) q[4];\nrz(0.1496) q[4];\nrx(0.0032) q[5];\nrz(0.1663) q[5];\nrx(0.0028) q[6];\nrz(0.1676) q[6];\nrx(0.0059) q[7];\nrz(0.1622) q[7];\nrx(0.0023) q[8];\nrz(0.1079) q[8];\nrx(0.2059) q[9];\nrz(0.0004) q[9];\ncrx(0.0066) q[9], q[8];\ncrx(0.0047) q[9], q[7];\ncrx(0.0025) q[9], q[6];\ncrx(-0.0005) q[9], q[5];\ncrx(0.0001) q[9], q[4];\ncrx(0.0034) q[9], q[3];\ncrx(0.0014) q[9], q[2];\ncrx(0.0041) q[9], q[1];\ncrx(0.102) q[9], q[0];\ncrx(0.1899) q[8], q[9];\ncrx(0.0047) q[8], q[7];\ncrx(0.0025) q[8], q[6];\ncrx(-0.0005) q[8], q[5];\ncrx(0.0001) q[8], q[4];\ncrx(0.0034) q[8], q[3];\ncrx(0.0014) q[8], q[2];\ncrx(0.0041) q[8], q[1];\ncrx(0.102) q[8], q[0];\ncrx(0.1899) q[7], q[9];\ncrx(0.0066) q[7], q[8];\ncrx(0.0025) q[7], q[6];\ncrx(-0.0005) q[7], q[5];\ncrx(0.0001) q[7], q[4];\ncrx(0.0034) q[7], q[3];\ncrx(0.0014) q[7], q[2];\ncrx(0.0041) q[7], q[1];\ncrx(0.102) q[7], q[0];\ncrx(0.1899) q[6], q[9];\ncrx(0.0066) q[6], q[8];\ncrx(0.0047) q[6], q[7];\ncrx(-0.0005) q[6], q[5];\ncrx(0.0001) q[6], q[4];\ncrx(0.0034) q[6], q[3];\ncrx(0.0014) q[6], q[2];\ncrx(0.0041) q[6], q[1];\ncrx(0.102) q[6], q[0];\ncrx(0.1899) q[5], q[9];\ncrx(0.0066) q[5], q[8];\ncrx(0.0047) q[5], q[7];\ncrx(0.0025) q[5], q[6];\ncrx(0.0001) q[5], q[4];\ncrx(0.0034) q[5], q[3];\ncrx(0.0014) q[5], q[2];\ncrx(0.0041) q[5], q[1];\ncrx(0.102) q[5], q[0];\ncrx(0.1899) q[4], q[9];\ncrx(0.0066) q[4], q[8];\ncrx(0.0047) q[4], q[7];\ncrx(0.0025) q[4], q[6];\ncrx(-0.0005) q[4], q[5];\ncrx(0.0034) q[4], q[3];\ncrx(0.0014) q[4], q[2];\ncrx(0.0041) q[4], q[1];\ncrx(0.102) q[4], q[0];\ncrx(0.1899) q[3], q[9];\ncrx(0.0066) q[3], q[8];\ncrx(0.0047) q[3], q[7];\ncrx(0.0025) q[3], q[6];\ncrx(-0.0005) q[3], q[5];\ncrx(0.0001) q[3], q[4];\ncrx(0.0014) q[3], q[2];\ncrx(0.0041) q[3], q[1];\ncrx(0.102) q[3], q[0];\ncrx(0.1899) q[2], q[9];\ncrx(0.0066) q[2], q[8];\ncrx(0.0047) q[2], q[7];\ncrx(0.0025) q[2], q[6];\ncrx(-0.0005) q[2], q[5];\ncrx(0.0001) q[2], q[4];\ncrx(0.0034) q[2], q[3];\ncrx(0.0041) q[2], q[1];\ncrx(0.102) q[2], q[0];\ncrx(0.1899) q[1], q[9];\ncrx(0.0066) q[1], q[8];\ncrx(0.0047) q[1], q[7];\ncrx(0.0025) q[1], q[6];\ncrx(-0.0005) q[1], q[5];\ncrx(0.0001) q[1], q[4];\ncrx(0.0034) q[1], q[3];\ncrx(0.0014) q[1], q[2];\ncrx(0.102) q[1], q[0];\ncrx(0.1899) q[0], q[9];\ncrx(0.0066) q[0], q[8];\ncrx(0.0047) q[0], q[7];\ncrx(0.0025) q[0], q[6];\ncrx(-0.0005) q[0], q[5];\ncrx(0.0001) q[0], q[4];\ncrx(0.0034) q[0], q[3];\ncrx(0.0014) q[0], q[2];\ncrx(0.0041) q[0], q[1];\nrx(0.1262) q[0];\nrz(0.0091) q[0];\nrx(0.0047) q[1];\nrz(0.0022) q[1];\nrx(0.006) q[2];\nrz(0.0089) q[2];\nrx(-0.0016) q[3];\nrz(0.0031) q[3];\nrx(0.0039) q[4];\nrz(0.0013) q[4];\nrx(0.0033) q[5];\nrz(0.004) q[5];\nrx(0.0013) q[6];\nrz(0.0016) q[6];\nrx(-0.002) q[7];\nrz(0.0041) q[7];\nrx(0.0043) q[8];\nrz(0.0014) q[8];\nrx(0.2012) q[9];\nrz(0.0046) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nrx(x46) q[8];\nrz(x47) q[8];\nrx(x48) q[9];\nrz(x8) q[9];\nrx(x49) q[0];\nrz(x50) q[0];\nrx(x51) q[1];\nrz(x52) q[1];\nrx(x53) q[2];\nrz(x54) q[2];\nrx(x55) q[3];\nrz(x56) q[3];\nrx(x19) q[4];\nrz(x57) q[4];\nrx(x58) q[5];\nrz(x59) q[5];\nrx(x60) q[6];\nrz(x35) q[6];\nrx(x44) q[7];\nrz(x61) q[7];\nrx(x62) q[8];\nrz(x63) q[8];\nrx(x64) q[9];\nrz(x51) q[9];\ncrx(x1) q[9], q[8];\ncrx(x65) q[9], q[7];\ncrx(x66) q[9], q[6];\ncrx(x16) q[9], q[5];\ncrx(x67) q[9], q[4];\ncrx(x8) q[9], q[3];\ncrx(x68) q[9], q[2];\ncrx(x69) q[9], q[1];\ncrx(x70) q[9], q[0];\ncrx(x71) q[8], q[9];\ncrx(x65) q[8], q[7];\ncrx(x66) q[8], q[6];\ncrx(x16) q[8], q[5];\ncrx(x67) q[8], q[4];\ncrx(x8) q[8], q[3];\ncrx(x68) q[8], q[2];\ncrx(x69) q[8], q[1];\ncrx(x70) q[8], q[0];\ncrx(x71) q[7], q[9];\ncrx(x1) q[7], q[8];\ncrx(x66) q[7], q[6];\ncrx(x16) q[7], q[5];\ncrx(x67) q[7], q[4];\ncrx(x8) q[7], q[3];\ncrx(x68) q[7], q[2];\ncrx(x69) q[7], q[1];\ncrx(x70) q[7], q[0];\ncrx(x71) q[6], q[9];\ncrx(x1) q[6], q[8];\ncrx(x65) q[6], q[7];\ncrx(x16) q[6], q[5];\ncrx(x67) q[6], q[4];\ncrx(x8) q[6], q[3];\ncrx(x68) q[6], q[2];\ncrx(x69) q[6], q[1];\ncrx(x70) q[6], q[0];\ncrx(x71) q[5], q[9];\ncrx(x1) q[5], q[8];\ncrx(x65) q[5], q[7];\ncrx(x66) q[5], q[6];\ncrx(x67) q[5], q[4];\ncrx(x8) q[5], q[3];\ncrx(x68) q[5], q[2];\ncrx(x69) q[5], q[1];\ncrx(x70) q[5], q[0];\ncrx(x71) q[4], q[9];\ncrx(x1) q[4], q[8];\ncrx(x65) q[4], q[7];\ncrx(x66) q[4], q[6];\ncrx(x16) q[4], q[5];\ncrx(x8) q[4], q[3];\ncrx(x68) q[4], q[2];\ncrx(x69) q[4], q[1];\ncrx(x70) q[4], q[0];\ncrx(x71) q[3], q[9];\ncrx(x1) q[3], q[8];\ncrx(x65) q[3], q[7];\ncrx(x66) q[3], q[6];\ncrx(x16) q[3], q[5];\ncrx(x67) q[3], q[4];\ncrx(x68) q[3], q[2];\ncrx(x69) q[3], q[1];\ncrx(x70) q[3], q[0];\ncrx(x71) q[2], q[9];\ncrx(x1) q[2], q[8];\ncrx(x65) q[2], q[7];\ncrx(x66) q[2], q[6];\ncrx(x16) q[2], q[5];\ncrx(x67) q[2], q[4];\ncrx(x8) q[2], q[3];\ncrx(x69) q[2], q[1];\ncrx(x70) q[2], q[0];\ncrx(x71) q[1], q[9];\ncrx(x1) q[1], q[8];\ncrx(x65) q[1], q[7];\ncrx(x66) q[1], q[6];\ncrx(x16) q[1], q[5];\ncrx(x67) q[1], q[4];\ncrx(x8) q[1], q[3];\ncrx(x68) q[1], q[2];\ncrx(x70) q[1], q[0];\ncrx(x71) q[0], q[9];\ncrx(x1) q[0], q[8];\ncrx(x65) q[0], q[7];\ncrx(x66) q[0], q[6];\ncrx(x16) q[0], q[5];\ncrx(x67) q[0], q[4];\ncrx(x8) q[0], q[3];\ncrx(x68) q[0], q[2];\ncrx(x69) q[0], q[1];\nrx(x72) q[0];\nrz(x73) q[0];\nrx(x74) q[1];\nrz(x75) q[1];\nrx(x76) q[2];\nrz(x77) q[2];\nrx(x12) q[3];\nrz(x78) q[3];\nrx(x53) q[4];\nrz(x79) q[4];\nrx(x80) q[5];\nrz(x81) q[5];\nrx(x82) q[6];\nrz(x83) q[6];\nrx(x84) q[7];\nrz(x56) q[7];\nrx(x60) q[8];\nrz(x85) q[8];\nrx(x86) q[9];\nrz(x51) q[9];\nrx(x87) q[0];\nrz(x4) q[0];\nrx(x88) q[1];\nrz(x89) q[1];\nrx(x90) q[2];\nrz(x91) q[2];\nrx(x92) q[3];\nrz(x83) q[3];\nrx(x93) q[4];\nrz(x94) q[4];\nrx(x95) q[5];\nrz(x96) q[5];\nrx(x97) q[6];\nrz(x98) q[6];\nrx(x99) q[7];\nrz(x100) q[7];\nrx(x101) q[8];\nrz(x102) q[8];\nrx(x103) q[9];\nrz(x51) q[9];\ncrx(x104) q[9], q[8];\ncrx(x105) q[9], q[7];\ncrx(x106) q[9], q[6];\ncrx(x4) q[9], q[5];\ncrx(x107) q[9], q[4];\ncrx(x108) q[9], q[3];\ncrx(x74) q[9], q[2];\ncrx(x109) q[9], q[1];\ncrx(x110) q[9], q[0];\ncrx(x111) q[8], q[9];\ncrx(x105) q[8], q[7];\ncrx(x106) q[8], q[6];\ncrx(x4) q[8], q[5];\ncrx(x107) q[8], q[4];\ncrx(x108) q[8], q[3];\ncrx(x74) q[8], q[2];\ncrx(x109) q[8], q[1];\ncrx(x110) q[8], q[0];\ncrx(x111) q[7], q[9];\ncrx(x104) q[7], q[8];\ncrx(x106) q[7], q[6];\ncrx(x4) q[7], q[5];\ncrx(x107) q[7], q[4];\ncrx(x108) q[7], q[3];\ncrx(x74) q[7], q[2];\ncrx(x109) q[7], q[1];\ncrx(x110) q[7], q[0];\ncrx(x111) q[6], q[9];\ncrx(x104) q[6], q[8];\ncrx(x105) q[6], q[7];\ncrx(x4) q[6], q[5];\ncrx(x107) q[6], q[4];\ncrx(x108) q[6], q[3];\ncrx(x74) q[6], q[2];\ncrx(x109) q[6], q[1];\ncrx(x110) q[6], q[0];\ncrx(x111) q[5], q[9];\ncrx(x104) q[5], q[8];\ncrx(x105) q[5], q[7];\ncrx(x106) q[5], q[6];\ncrx(x107) q[5], q[4];\ncrx(x108) q[5], q[3];\ncrx(x74) q[5], q[2];\ncrx(x109) q[5], q[1];\ncrx(x110) q[5], q[0];\ncrx(x111) q[4], q[9];\ncrx(x104) q[4], q[8];\ncrx(x105) q[4], q[7];\ncrx(x106) q[4], q[6];\ncrx(x4) q[4], q[5];\ncrx(x108) q[4], q[3];\ncrx(x74) q[4], q[2];\ncrx(x109) q[4], q[1];\ncrx(x110) q[4], q[0];\ncrx(x111) q[3], q[9];\ncrx(x104) q[3], q[8];\ncrx(x105) q[3], q[7];\ncrx(x106) q[3], q[6];\ncrx(x4) q[3], q[5];\ncrx(x107) q[3], q[4];\ncrx(x74) q[3], q[2];\ncrx(x109) q[3], q[1];\ncrx(x110) q[3], q[0];\ncrx(x111) q[2], q[9];\ncrx(x104) q[2], q[8];\ncrx(x105) q[2], q[7];\ncrx(x106) q[2], q[6];\ncrx(x4) q[2], q[5];\ncrx(x107) q[2], q[4];\ncrx(x108) q[2], q[3];\ncrx(x109) q[2], q[1];\ncrx(x110) q[2], q[0];\ncrx(x111) q[1], q[9];\ncrx(x104) q[1], q[8];\ncrx(x105) q[1], q[7];\ncrx(x106) q[1], q[6];\ncrx(x4) q[1], q[5];\ncrx(x107) q[1], q[4];\ncrx(x108) q[1], q[3];\ncrx(x74) q[1], q[2];\ncrx(x110) q[1], q[0];\ncrx(x111) q[0], q[9];\ncrx(x104) q[0], q[8];\ncrx(x105) q[0], q[7];\ncrx(x106) q[0], q[6];\ncrx(x4) q[0], q[5];\ncrx(x107) q[0], q[4];\ncrx(x108) q[0], q[3];\ncrx(x74) q[0], q[2];\ncrx(x109) q[0], q[1];\nrx(x112) q[0];\nrz(x113) q[0];\nrx(x50) q[1];\nrz(x114) q[1];\nrx(x46) q[2];\nrz(x77) q[2];\nrx(x115) q[3];\nrz(x116) q[3];\nrx(x99) q[4];\nrz(x117) q[4];\nrx(x118) q[5];\nrz(x119) q[5];\nrx(x74) q[6];\nrz(x120) q[6];\nrx(x121) q[7];\nrz(x122) q[7];\nrx(x123) q[8];\nrz(x124) q[8];\nrx(x125) q[9];\nrz(x19) q[9];\nrx(x126) q[0];\nrz(x127) q[0];\nrx(x65) q[1];\nrz(x128) q[1];\nrx(x10) q[2];\nrz(x129) q[2];\nrx(x130) q[3];\nrz(x131) q[3];\nrx(x62) q[4];\nrz(x132) q[4];\nrx(x2) q[5];\nrz(x45) q[5];\nrx(x95) q[6];\nrz(x133) q[6];\nrx(x134) q[7];\nrz(x83) q[7];\nrx(x107) q[8];\nrz(x135) q[8];\nrx(x136) q[9];\nrz(x137) q[9];\ncrx(x138) q[9], q[8];\ncrx(x139) q[9], q[7];\ncrx(x140) q[9], q[6];\ncrx(x1) q[9], q[5];\ncrx(x8) q[9], q[4];\ncrx(x141) q[9], q[3];\ncrx(x115) q[9], q[2];\ncrx(x60) q[9], q[1];\ncrx(x142) q[9], q[0];\ncrx(x143) q[8], q[9];\ncrx(x139) q[8], q[7];\ncrx(x140) q[8], q[6];\ncrx(x1) q[8], q[5];\ncrx(x8) q[8], q[4];\ncrx(x141) q[8], q[3];\ncrx(x115) q[8], q[2];\ncrx(x60) q[8], q[1];\ncrx(x142) q[8], q[0];\ncrx(x143) q[7], q[9];\ncrx(x138) q[7], q[8];\ncrx(x140) q[7], q[6];\ncrx(x1) q[7], q[5];\ncrx(x8) q[7], q[4];\ncrx(x141) q[7], q[3];\ncrx(x115) q[7], q[2];\ncrx(x60) q[7], q[1];\ncrx(x142) q[7], q[0];\ncrx(x143) q[6], q[9];\ncrx(x138) q[6], q[8];\ncrx(x139) q[6], q[7];\ncrx(x1) q[6], q[5];\ncrx(x8) q[6], q[4];\ncrx(x141) q[6], q[3];\ncrx(x115) q[6], q[2];\ncrx(x60) q[6], q[1];\ncrx(x142) q[6], q[0];\ncrx(x143) q[5], q[9];\ncrx(x138) q[5], q[8];\ncrx(x139) q[5], q[7];\ncrx(x140) q[5], q[6];\ncrx(x8) q[5], q[4];\ncrx(x141) q[5], q[3];\ncrx(x115) q[5], q[2];\ncrx(x60) q[5], q[1];\ncrx(x142) q[5], q[0];\ncrx(x143) q[4], q[9];\ncrx(x138) q[4], q[8];\ncrx(x139) q[4], q[7];\ncrx(x140) q[4], q[6];\ncrx(x1) q[4], q[5];\ncrx(x141) q[4], q[3];\ncrx(x115) q[4], q[2];\ncrx(x60) q[4], q[1];\ncrx(x142) q[4], q[0];\ncrx(x143) q[3], q[9];\ncrx(x138) q[3], q[8];\ncrx(x139) q[3], q[7];\ncrx(x140) q[3], q[6];\ncrx(x1) q[3], q[5];\ncrx(x8) q[3], q[4];\ncrx(x115) q[3], q[2];\ncrx(x60) q[3], q[1];\ncrx(x142) q[3], q[0];\ncrx(x143) q[2], q[9];\ncrx(x138) q[2], q[8];\ncrx(x139) q[2], q[7];\ncrx(x140) q[2], q[6];\ncrx(x1) q[2], q[5];\ncrx(x8) q[2], q[4];\ncrx(x141) q[2], q[3];\ncrx(x60) q[2], q[1];\ncrx(x142) q[2], q[0];\ncrx(x143) q[1], q[9];\ncrx(x138) q[1], q[8];\ncrx(x139) q[1], q[7];\ncrx(x140) q[1], q[6];\ncrx(x1) q[1], q[5];\ncrx(x8) q[1], q[4];\ncrx(x141) q[1], q[3];\ncrx(x115) q[1], q[2];\ncrx(x142) q[1], q[0];\ncrx(x143) q[0], q[9];\ncrx(x138) q[0], q[8];\ncrx(x139) q[0], q[7];\ncrx(x140) q[0], q[6];\ncrx(x1) q[0], q[5];\ncrx(x8) q[0], q[4];\ncrx(x141) q[0], q[3];\ncrx(x115) q[0], q[2];\ncrx(x60) q[0], q[1];\nrx(x144) q[0];\nrz(x145) q[0];\nrx(x139) q[1];\nrz(x34) q[1];\nrx(x146) q[2];\nrz(x147) q[2];\nrx(x148) q[3];\nrz(x149) q[3];\nrx(x40) q[4];\nrz(x84) q[4];\nrx(x53) q[5];\nrz(x150) q[5];\nrx(x84) q[6];\nrz(x130) q[6];\nrx(x151) q[7];\nrz(x60) q[7];\nrx(x152) q[8];\nrz(x115) q[8];\nrx(x153) q[9];\nrz(x154) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["-8206333408252682957","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[1, 2, 3, 4, 6, 8], [0, 4, 5, 6, 8, 9], [1, 3, 4, 5, 6, 7, 9], [0, 3, 5, 6], [0, 2, 4, 7], [0, 3, 7], [2, 5, 7], [0, 2, 3, 4, 9], [0, 1, 7, 8, 9], [1, 2, 4, 7], [0, 1, 2, 4, 5, 6, 8], [1, 3, 6, 8, 9], [4, 5, 7, 8, 9], [1, 2, 3, 6, 9]]}","{\"states\": [1011, 1010], \"expectation_value\": -2.027510989826873, \"params\": [2.6273, 0.0051, 2.6397, 0.0025, 2.3988, 0.009300000000000001, 2.6034, 0.0077, 1.6781000000000001, 0.0022, 2.6267, 0.0051, 1.5493000000000001, 0.0073, 1.5472000000000001, 0.0055000000000000005, 2.6036, 0.0032, 1.5549000000000002, 0.0051, 0.0006000000000000001, 0.0085, 0.0095, 0.0026000000000000003, 0.001, 0.0029000000000000002, 0.002, 0.0001, 0.0089], \"bitstrings\": [\"0000001100\", \"0000001101\"], \"total_optimization_steps\": 270, \"probabilities\": [0.043819827013852834, 0.045239344317509964], \"optimization_time\": 75.94572710990906}","0.19047619047619047 * (Z(1) @ Z(2)) + 0.13333333333333336 * (Z(3) @ Z(2)) + 0.15714285714285714 * (Z(3) @ Z(1)) + 0.27380952380952384 * (Z(4) @ Z(2)) + 0.16428571428571428 * (Z(4) @ Z(1)) + 0.10714285714285715 * (Z(4) @ Z(3)) + 0.10714285714285715 * (Z(6) @ Z(2)) + 0.18095238095238092 * (Z(6) @ Z(1)) + 0.24047619047619045 * (Z(6) @ Z(3)) + 0.11428571428571428 * (Z(6) @ Z(4)) + 0.05714285714285714 * (Z(8) @ Z(2)) + 0.15714285714285714 * (Z(8) @ Z(1)) + 0.08333333333333334 * (Z(8) @ Z(3)) + 0.14047619047619048 * (Z(8) @ Z(4)) + 0.14047619047619048 * (Z(8) @ Z(6)) + 0.15714285714285714 * (Z(0) @ Z(2)) + 0.07380952380952381 * (Z(0) @ Z(1)) + 0.3 * (Z(0) @ Z(3)) + 0.1904761904761905 * (Z(0) @ Z(4)) + 0.14047619047619048 * (Z(0) @ Z(6)) + 0.10714285714285715 * (Z(0) @ Z(8)) + 0.19047619047619047 * (Z(5) @ Z(2)) + 0.047619047619047616 * (Z(5) @ Z(1)) + 0.10714285714285714 * (Z(5) @ Z(3)) + 0.13095238095238093 * (Z(5) @ Z(4)) + 0.16428571428571428 * (Z(5) @ Z(6)) + 0.10714285714285715 * (Z(5) @ Z(8)) + 0.14047619047619048 * (Z(5) @ Z(0)) + 0.1 * (Z(9) @ Z(2)) + 0.1738095238095238 * (Z(9) @ Z(1)) + 0.1738095238095238 * (Z(9) @ Z(3)) + 0.15714285714285714 * (Z(9) @ Z(4)) + 0.15714285714285714 * (Z(9) @ Z(6)) + 0.18333333333333335 * (Z(9) @ Z(8)) + 0.13333333333333336 * (Z(9) @ Z(0)) + 0.10714285714285715 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.15714285714285714 * (Z(7) @ Z(1)) + 0.19047619047619047 * (Z(7) @ Z(3)) + 0.24047619047619045 * (Z(7) @ Z(4)) + 0.023809523809523808 * (Z(7) @ Z(6)) + 0.1 * (Z(7) @ Z(8)) + 0.3 * (Z(7) @ Z(0)) + 0.24047619047619045 * (Z(7) @ Z(5)) + 0.12380952380952381 * (Z(7) @ Z(9)) + 0.7714285714285716 * Z(2) + 0.6511904761904761 * Z(1) + 0.7464285714285716 * Z(3) + 0.7595238095238095 * Z(4) + 0.6345238095238095 * Z(6) + 0.5380952380952383 * Z(8) + 0.7714285714285716 * Z(0) + 0.617857142857143 * Z(5) + 0.6547619047619051 * Z(9) + 0.854761904761905 * Z(7)",3,10,1,"{\"smallest_eigenvalues\": [-3.0690476190476192], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0333333333333337, \"smallest_bitstrings\": [\"0000001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(2.6273) q[0];\nrz(0.0051) q[0];\nrx(2.6397) q[1];\nrz(0.0025) q[1];\nrx(2.3988) q[2];\nrz(0.0093) q[2];\nrx(2.6034) q[3];\nrz(0.0077) q[3];\nrx(1.6781) q[4];\nrz(0.0022) q[4];\nrx(2.6267) q[5];\nrz(0.0051) q[5];\nrx(1.5493) q[6];\nrz(0.0073) q[6];\nrx(1.5472) q[7];\nrz(0.0055) q[7];\nrx(2.6036) q[8];\nrz(0.0032) q[8];\nrx(1.5549) q[9];\nrz(0.0051) q[9];\ncrz(0.0089) q[9], q[8];\ncrz(0.0001) q[8], q[7];\ncrz(0.002) q[7], q[6];\ncrz(0.0029) q[6], q[5];\ncrz(0.001) q[5], q[4];\ncrz(0.0026) q[4], q[3];\ncrz(0.0095) q[3], q[2];\ncrz(0.0085) q[2], q[1];\ncrz(0.0006) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x1) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x1) q[9];\ncrz(x18) q[9], q[8];\ncrz(x19) q[8], q[7];\ncrz(x20) q[7], q[6];\ncrz(x21) q[6], q[5];\ncrz(x22) q[5], q[4];\ncrz(x23) q[4], q[3];\ncrz(x24) q[3], q[2];\ncrz(x25) q[2], q[1];\ncrz(x26) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["4efda73086e423267629fcac53fdd9a4","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 4}, {\"weight\": 19, \"source\": 0, \"target\": 7}, {\"weight\": 3, \"source\": 1, \"target\": 5}, {\"weight\": 8, \"source\": 2, \"target\": 6}, {\"weight\": 17, \"source\": 2, \"target\": 9}, {\"weight\": 19, \"source\": 2, \"target\": 11}, {\"weight\": 5, \"source\": 3, \"target\": 7}, {\"weight\": 17, \"source\": 3, \"target\": 10}, {\"weight\": 17, \"source\": 3, \"target\": 4}]}","{\"states\": [175, 174], \"expectation_value\": -57.84605224621625, \"params\": [0.32980000000000004, 0.3769, 0.8972, 0.003, -0.0018000000000000002, 0.6653, 0.9016000000000001, 0.2127, 0.41550000000000004, 0.41800000000000004, 0.9003, 0.024300000000000002, 0.8992, 0.050100000000000006, 0.8939, 0.11510000000000001, 0.4824, 0.2586, 0.3209, 0.3471, 0.9009, 0.0022, -0.0037, 0.6732, 0.8985000000000001, 0.26, 0.40790000000000004, 0.42210000000000003, 0.8935000000000001, 0.0886, 0.8973000000000001, -0.0244, 0.8989, 0.1174, 0.4824, 0.23340000000000002, 0.32370000000000004, 0.0024000000000000002, 0.9013, 0.0086, -0.0015, 0.0091, 0.9002, 0.009000000000000001, 0.4208, 0.0059, 0.8949, 0.0074, 0.896, 0.0041, 0.8944000000000001, 0.0035, 0.48710000000000003, 0.0051, 0.0376, 0.1759, 0.002, -0.6607000000000001, 0.39230000000000004, 0.31270000000000003, 0.0207, 0.062200000000000005, 0.2391, 0.27940000000000004, 0.3411, 0.0057, -0.43770000000000003, 0.40840000000000004, 0.43170000000000003, -0.0029000000000000002, -0.030100000000000002, 0.20350000000000001, 0.0071, 0.0051, 0.0083, 0.0098, 0.0041, 0.0015, 0.004, 0.008, 0.0], \"bitstrings\": [\"101010000\", \"101010001\"], \"total_optimization_steps\": 90, \"probabilities\": [0.19648488396114883, 0.2717565040401484], \"optimization_time\": 40.37551736831665}","6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 3.0 * Z(0) + 9.5 * Z(1) + 4.0 * Z(4) + 8.5 * Z(5) + 9.5 * Z(3) + 9.0 * Z(8) + 8.5 * Z(6) + 15.0 * Z(7) + -11.5 * Z(2)",18,9,3,"{\"smallest_eigenvalues\": [-79.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -70.0, \"smallest_bitstrings\": [\"101010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.3298) q[0];\nrz(0.3769) q[0];\nrx(0.8972) q[1];\nrz(0.003) q[1];\nrx(-0.0018) q[2];\nrz(0.6653) q[2];\nrx(0.9016) q[3];\nrz(0.2127) q[3];\nrx(0.4155) q[4];\nrz(0.418) q[4];\nrx(0.9003) q[5];\nrz(0.0243) q[5];\nrx(0.8992) q[6];\nrz(0.0501) q[6];\nrx(0.8939) q[7];\nrz(0.1151) q[7];\nrx(0.4824) q[8];\nrz(0.2586) q[8];\ncrz(0.0376) q[8], q[0];\ncrz(0.2391) q[7], q[8];\ncrz(0.0622) q[6], q[7];\ncrz(0.0207) q[5], q[6];\ncrz(0.3127) q[4], q[5];\ncrz(0.3923) q[3], q[4];\ncrz(-0.6607) q[2], q[3];\ncrz(0.002) q[1], q[2];\ncrz(0.1759) q[0], q[1];\nrx(0.3209) q[0];\nrz(0.3471) q[0];\nrx(0.9009) q[1];\nrz(0.0022) q[1];\nrx(-0.0037) q[2];\nrz(0.6732) q[2];\nrx(0.8985) q[3];\nrz(0.26) q[3];\nrx(0.4079) q[4];\nrz(0.4221) q[4];\nrx(0.8935) q[5];\nrz(0.0886) q[5];\nrx(0.8973) q[6];\nrz(-0.0244) q[6];\nrx(0.8989) q[7];\nrz(0.1174) q[7];\nrx(0.4824) q[8];\nrz(0.2334) q[8];\ncrz(0.2794) q[8], q[0];\ncrz(0.2035) q[7], q[8];\ncrz(-0.0301) q[6], q[7];\ncrz(-0.0029) q[5], q[6];\ncrz(0.4317) q[4], q[5];\ncrz(0.4084) q[3], q[4];\ncrz(-0.4377) q[2], q[3];\ncrz(0.0057) q[1], q[2];\ncrz(0.3411) q[0], q[1];\nrx(0.3237) q[0];\nrz(0.0024) q[0];\nrx(0.9013) q[1];\nrz(0.0086) q[1];\nrx(-0.0015) q[2];\nrz(0.0091) q[2];\nrx(0.9002) q[3];\nrz(0.009) q[3];\nrx(0.4208) q[4];\nrz(0.0059) q[4];\nrx(0.8949) q[5];\nrz(0.0074) q[5];\nrx(0.896) q[6];\nrz(0.0041) q[6];\nrx(0.8944) q[7];\nrz(0.0035) q[7];\nrx(0.4871) q[8];\nrz(0.0051) q[8];\ncrz(0.0071) q[8], q[0];\ncrz(0) q[7], q[8];\ncrz(0.008) q[6], q[7];\ncrz(0.004) q[5], q[6];\ncrz(0.0015) q[4], q[5];\ncrz(0.0041) q[3], q[4];\ncrz(0.0098) q[2], q[3];\ncrz(0.0083) q[1], q[2];\ncrz(0.0051) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x16) q[8];\nrz(x43) q[8];\ncrz(x44) q[8], q[0];\ncrz(x45) q[7], q[8];\ncrz(x46) q[6], q[7];\ncrz(x47) q[5], q[6];\ncrz(x48) q[4], q[5];\ncrz(x49) q[3], q[4];\ncrz(x50) q[2], q[3];\ncrz(x51) q[1], q[2];\ncrz(x52) q[0], q[1];\nrx(x53) q[0];\nrz(x54) q[0];\nrx(x55) q[1];\nrz(x56) q[1];\nrx(x57) q[2];\nrz(x58) q[2];\nrx(x59) q[3];\nrz(x60) q[3];\nrx(x61) q[4];\nrz(x62) q[4];\nrx(x63) q[5];\nrz(x64) q[5];\nrx(x65) q[6];\nrz(x66) q[6];\nrx(x67) q[7];\nrz(x68) q[7];\nrx(x69) q[8];\nrz(x70) q[8];\ncrz(x71) q[8], q[0];\ncrz(x72) q[7], q[8];\ncrz(x73) q[6], q[7];\ncrz(x74) q[5], q[6];\ncrz(x75) q[4], q[5];\ncrz(x66) q[3], q[4];\ncrz(x76) q[2], q[3];\ncrz(x77) q[1], q[2];\ncrz(x70) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8, 9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["646c4ffdec7c3b688313fcfec6df6ea9","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [8, 14], \"expectation_value\": -3.499971821732338, \"params\": null, \"bitstrings\": [\"10111\", \"10001\"], \"total_optimization_steps\": 22, \"probabilities\": [1.3834854838606892e-05, 0.9999858813341931], \"optimization_time\": 11.919956922531128}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4)",1,5,3,"{\"smallest_eigenvalues\": [-3.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"10001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(-1.5681) q[4];\nry(1.4449) q[3];\nry(1.4449) q[2];\nry(1.4449) q[1];\ncry(0.1187) q[2], q[3];\ncry(0.1188) q[3], q[1];\ncry(0.1186) q[1], q[2];\ncry(-0.0027) q[3], q[0];\ncry(-0.0027) q[3], q[4];\ncry(0.0072) q[1], q[3];\ncry(0.0067) q[2], q[1];\ncry(0.0067) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\ncry(0.0072) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\ncry(0.0072) q[1], q[3];\\ncry(0.0067) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\ncry(0.0072) q[1], q[3];\\ncry(0.0067) q[2], q[1];\\ncry(0.0067) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[0];\\nry(-1.5681) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(0.1187) q[2], q[3];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[3], q[0];\\ncry(-0.0027) q[3], q[4];\\ncry(0.0072) q[1], q[3];\\ncry(0.0067) q[2], q[1];\\ncry(0.0067) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.0057, 1.0037, 0.5005, 0.5002, 0.5, 0.0616, 0.0618, 0.0617, 0.0143, 0.0143, 0.01, 0.01, 0.0075, 0.0075, 0.005, 0.005, 0.005, 0.005, 0.0033, 0.003, 0.003, 0.0025]}"]
["5008395289420912041","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[2, 7], [8, 10, 2], [9, 2, 3, 4], [8, 2, 3, 4], [9, 2, 4, 1], [0, 7], [1, 5, 6], [4, 6], [8, 9, 10, 4], [9, 10, 1], [3, 6], [8, 1, 10, 5], [2, 6], [0, 9, 6], [1, 7], [5, 7], [1, 10, 4], [0, 9, 4, 5]]}","{\"states\": [2035, 2032], \"expectation_value\": -3.8488182869276395, \"params\": [1.2006000000000001, 0.0039000000000000003, 1.1949, 0.0012000000000000001, 1.1974, -0.0023, 1.1903000000000001, -0.0038, 0.9953000000000001, -0.083, 0.9906, 0.0014, 1.1932, -0.0098, 1.1874, 0.0004, 1.1914, -0.0022, 1.1898, 0.0022, 1.1636, 0.0006000000000000001, 1.1806, 0.0008, 1.2055, -0.019200000000000002, 1.206, 0.0001, 0.38680000000000003, -0.4015, 0.38170000000000004, -0.3899, 0.2975, -0.4388, 0.2926, 0.0019, 0.5644, 0.2378, 0.7597, 0.2782, 0.7682, -0.21580000000000002, 0.7656000000000001, 0.0086, 0.5203, 0.9570000000000001, 0.18730000000000002, 0.9674, -0.1675, 0.8359000000000001, -0.27690000000000003, 0.3794, 0.1408, 0.6316, 0.005200000000000001], \"bitstrings\": [\"00000001100\", \"00000001111\"], \"total_optimization_steps\": 120, \"probabilities\": [0.11577191630386882, 0.12352887881844718], \"optimization_time\": 37.960428953170776}","0.5 * (Z(3) @ Z(8)) + 0.25 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.3333333333333333 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(10) @ Z(3)) + 0.08333333333333333 * (Z(10) @ Z(9)) + 0.25 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(9)) + 0.08333333333333333 * (Z(4) @ Z(10)) + 0.25 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.25 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(9)) + 0.41666666666666663 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(10)) + 0.25 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(8)) + 0.25 * (Z(0) @ Z(10)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(9)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.0 * Z(8) + 0.5416666666666665 * Z(3) + 0.5416666666666666 * Z(9) + 0.7499999999999999 * Z(2) + 0.8333333333333335 * Z(10) + 0.25 * Z(4) + 0.7916666666666663 * Z(5) + 0.75 * Z(1) + 0.29166666666666685 * Z(0) + 0.41666666666666685 * Z(6) + 0.33333333333333326 * Z(7)",8,11,1,"{\"smallest_eigenvalues\": [-5.916666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.666666666666667, \"smallest_bitstrings\": [\"00000001111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(1.2006) q[0];\nrz(0.0039) q[0];\nrx(1.1974) q[1];\nrz(-0.0023) q[1];\nrx(0.9953) q[2];\nrz(-0.083) q[2];\nrx(1.1932) q[3];\nrz(-0.0098) q[3];\nrx(1.1914) q[4];\nrz(-0.0022) q[4];\nrx(1.1636) q[5];\nrz(0.0006) q[5];\nrx(1.2055) q[6];\nrz(-0.0192) q[6];\nrx(0.3868) q[7];\nrz(-0.4015) q[7];\nrx(0.2975) q[8];\nrz(-0.4388) q[8];\nrx(0.5644) q[9];\nrz(0.2378) q[9];\nrx(0.7682) q[10];\nrz(-0.2158) q[10];\ncrx(0.5203) q[1], q[0];\ncrx(0.1873) q[3], q[2];\ncrx(-0.1675) q[5], q[4];\ncrx(-0.2769) q[7], q[6];\ncrx(0.1408) q[9], q[8];\nrx(1.1949) q[0];\nrz(0.0012) q[0];\nrx(1.1903) q[1];\nrz(-0.0038) q[1];\nrx(0.9906) q[2];\nrz(0.0014) q[2];\nrx(1.1874) q[3];\nrz(0.0004) q[3];\nrx(1.1898) q[4];\nrz(0.0022) q[4];\nrx(1.1806) q[5];\nrz(0.0008) q[5];\nrx(1.206) q[6];\nrz(0.0001) q[6];\nrx(0.3817) q[7];\nrz(-0.3899) q[7];\nrx(0.2926) q[8];\nrz(0.0019) q[8];\nrx(0.7597) q[9];\nrz(0.2782) q[9];\nrx(0.7656) q[10];\nrz(0.0086) q[10];\ncrx(0.957) q[2], q[1];\ncrx(0.9674) q[4], q[3];\ncrx(0.8359) q[6], q[5];\ncrx(0.3794) q[8], q[7];\ncrx(0.6316) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrx(x22) q[1], q[0];\ncrx(x23) q[3], q[2];\ncrx(x24) q[5], q[4];\ncrx(x25) q[7], q[6];\ncrx(x26) q[9], q[8];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x45) q[9];\nrz(x46) q[9];\nrx(x47) q[10];\nrz(x48) q[10];\ncrx(x49) q[2], q[1];\ncrx(x50) q[4], q[3];\ncrx(x51) q[6], q[5];\ncrx(x52) q[8], q[7];\ncrx(x53) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["b7dfca53cc287020b38c99c5dc4c04ae","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [148, 164], \"expectation_value\": -5.80610161463287, \"params\": [[0.4005, -0.0206, 0.40190000000000003, 0.37210000000000004, 0.31220000000000003, 0.39680000000000004, -0.0221, -0.024900000000000002], [0.3996, -0.0229, 0.40540000000000004, 0.3846, 0.35660000000000003, 0.3965, -0.02, -0.024200000000000003], [0.4061, -0.020200000000000003, 0.4025, 0.3311, 0.2451, 0.40290000000000004, -0.021400000000000002, -0.0161], [0.4042, -0.013300000000000001, 0.4001, 0.38530000000000003, 0.3634, 0.4, -0.015000000000000001, -0.0196], [0.40090000000000003, -0.017400000000000002, 0.4001, 0.27, 0.1951, 0.39740000000000003, -0.018000000000000002, -0.0111]], \"bitstrings\": [\"01101011\", \"01011011\"], \"total_optimization_steps\": 40, \"probabilities\": [0.16573651874275433, 0.20432974798808387], \"optimization_time\": 5.5576088428497314}","0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(6) + 0.0 * Z(0) + -2.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + -2.0 * Z(4) + -1.5 * Z(7) + -1.0 * Z(5)",10,8,4,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"00111011\", \"01101011\", \"01011011\", \"01101110\", \"11101100\", \"01010111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.4005) q[0];\nry(-0.0206) q[1];\nry(0.4019) q[2];\nry(0.3721) q[3];\nry(0.3122) q[4];\nry(0.3968) q[5];\nry(-0.0221) q[6];\nry(-0.0249) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(0.3996) q[0];\nry(-0.0229) q[1];\nry(0.4054) q[2];\nry(0.3846) q[3];\nry(0.3566) q[4];\nry(0.3965) q[5];\nry(-0.02) q[6];\nry(-0.0242) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(0.4061) q[0];\nry(-0.0202) q[1];\nry(0.4025) q[2];\nry(0.3311) q[3];\nry(0.2451) q[4];\nry(0.4029) q[5];\nry(-0.0214) q[6];\nry(-0.0161) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(0.4042) q[0];\nry(-0.0133) q[1];\nry(0.4001) q[2];\nry(0.3853) q[3];\nry(0.3634) q[4];\nry(0.4) q[5];\nry(-0.015) q[6];\nry(-0.0196) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(0.4009) q[0];\nry(-0.0174) q[1];\nry(0.4001) q[2];\nry(0.27) q[3];\nry(0.1951) q[4];\nry(0.3974) q[5];\nry(-0.018) q[6];\nry(-0.0111) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x16) q[0];\nry(x17) q[1];\nry(x18) q[2];\nry(x19) q[3];\nry(x20) q[4];\nry(x21) q[5];\nry(x22) q[6];\nry(x23) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[7];\nry(x32) q[0];\nry(x33) q[1];\nry(x26) q[2];\nry(x34) q[3];\nry(x35) q[4];\nry(x36) q[5];\nry(x37) q[6];\nry(x38) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["4743a42b98680c4f321c8f72a752812d","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 2}]}","{\"states\": [30, 447], \"expectation_value\": -4.3810738896991435, \"params\": [[0.0557, 0.045200000000000004, 0.0505, 0.0358], [-0.0523, -0.0507, -0.0711, -0.06670000000000001]], \"bitstrings\": [\"111100001\", \"001000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00523100460299078, 0.0053272660711665], \"optimization_time\": 8.154904127120972}","-0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(4)) + 2.0 * (Z(6) @ Z(5)) + 1.0 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.5 * Z(7) + -0.5 * Z(8) + 3.5 * Z(4) + 7.0 * Z(5) + 3.5 * Z(6) + -0.16666666666666666 * Z(2)",1,9,4,"{\"smallest_eigenvalues\": [-12.166666666666666], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.833333333333334, \"smallest_bitstrings\": [\"001000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(-0.0557) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0557) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.0371) q[1];\ncx q[0], q[1];\ncx q[3], q[7];\nrz(-0.0557) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(-0.0557) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.1114) q[8];\ncx q[7], q[8];\ncx q[3], q[4];\nrz(0.0557) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(-0.0557) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(-0.0557) q[4];\ncx q[8], q[4];\ncx q[3], q[5];\nrz(0.1114) q[5];\ncx q[3], q[5];\ncx q[7], q[5];\nrz(-0.1114) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(-0.1114) q[5];\ncx q[8], q[5];\ncx q[4], q[5];\nrz(0.2228) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0557) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(-0.0557) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(-0.0557) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(0.1114) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.2228) q[6];\ncx q[5], q[6];\nrz(0.1114) q[3];\nrz(0.0186) q[0];\nrz(0.0186) q[1];\nrz(-0.0557) q[7];\nrz(-0.0557) q[8];\nrz(0.3899) q[4];\nrz(0.7798) q[5];\nrz(0.3899) q[6];\nrz(-0.0186) q[2];\nh q[0];\nrz(-0.1046) q[0];\nh q[0];\nh q[1];\nrz(-0.1046) q[1];\nh q[1];\nh q[2];\nrz(-0.1046) q[2];\nh q[2];\nh q[3];\nrz(-0.1046) q[3];\nh q[3];\nh q[4];\nrz(-0.1046) q[4];\nh q[4];\nh q[5];\nrz(-0.1046) q[5];\nh q[5];\nh q[6];\nrz(-0.1046) q[6];\nh q[6];\nh q[7];\nrz(-0.1046) q[7];\nh q[7];\nh q[8];\nrz(-0.1046) q[8];\nh q[8];\ncx q[3], q[0];\nrz(-0.0452) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0452) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.0301) q[1];\ncx q[0], q[1];\ncx q[3], q[7];\nrz(-0.0452) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(-0.0452) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.0904) q[8];\ncx q[7], q[8];\ncx q[3], q[4];\nrz(0.0452) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(-0.0452) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(-0.0452) q[4];\ncx q[8], q[4];\ncx q[3], q[5];\nrz(0.0904) q[5];\ncx q[3], q[5];\ncx q[7], q[5];\nrz(-0.0904) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(-0.0904) q[5];\ncx q[8], q[5];\ncx q[4], q[5];\nrz(0.1808) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0452) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(-0.0452) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(-0.0452) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(0.0904) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.1808) q[6];\ncx q[5], q[6];\nrz(0.0904) q[3];\nrz(0.0151) q[0];\nrz(0.0151) q[1];\nrz(-0.0452) q[7];\nrz(-0.0452) q[8];\nrz(0.3164) q[4];\nrz(0.6328) q[5];\nrz(0.3164) q[6];\nrz(-0.0151) q[2];\nh q[0];\nrz(-0.1014) q[0];\nh q[0];\nh q[1];\nrz(-0.1014) q[1];\nh q[1];\nh q[2];\nrz(-0.1014) q[2];\nh q[2];\nh q[3];\nrz(-0.1014) q[3];\nh q[3];\nh q[4];\nrz(-0.1014) q[4];\nh q[4];\nh q[5];\nrz(-0.1014) q[5];\nh q[5];\nh q[6];\nrz(-0.1014) q[6];\nh q[6];\nh q[7];\nrz(-0.1014) q[7];\nh q[7];\nh q[8];\nrz(-0.1014) q[8];\nh q[8];\ncx q[3], q[0];\nrz(-0.0505) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0505) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.0337) q[1];\ncx q[0], q[1];\ncx q[3], q[7];\nrz(-0.0505) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(-0.0505) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.101) q[8];\ncx q[7], q[8];\ncx q[3], q[4];\nrz(0.0505) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(-0.0505) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(-0.0505) q[4];\ncx q[8], q[4];\ncx q[3], q[5];\nrz(0.101) q[5];\ncx q[3], q[5];\ncx q[7], q[5];\nrz(-0.101) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(-0.101) q[5];\ncx q[8], q[5];\ncx q[4], q[5];\nrz(0.202) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0505) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(-0.0505) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(-0.0505) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(0.101) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.202) q[6];\ncx q[5], q[6];\nrz(0.101) q[3];\nrz(0.0168) q[0];\nrz(0.0168) q[1];\nrz(-0.0505) q[7];\nrz(-0.0505) q[8];\nrz(0.3535) q[4];\nrz(0.707) q[5];\nrz(0.3535) q[6];\nrz(-0.0168) q[2];\nh q[0];\nrz(-0.1422) q[0];\nh q[0];\nh q[1];\nrz(-0.1422) q[1];\nh q[1];\nh q[2];\nrz(-0.1422) q[2];\nh q[2];\nh q[3];\nrz(-0.1422) q[3];\nh q[3];\nh q[4];\nrz(-0.1422) q[4];\nh q[4];\nh q[5];\nrz(-0.1422) q[5];\nh q[5];\nh q[6];\nrz(-0.1422) q[6];\nh q[6];\nh q[7];\nrz(-0.1422) q[7];\nh q[7];\nh q[8];\nrz(-0.1422) q[8];\nh q[8];\ncx q[3], q[0];\nrz(-0.0358) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0358) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.0239) q[1];\ncx q[0], q[1];\ncx q[3], q[7];\nrz(-0.0358) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(-0.0358) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.0716) q[8];\ncx q[7], q[8];\ncx q[3], q[4];\nrz(0.0358) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(-0.0358) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(-0.0358) q[4];\ncx q[8], q[4];\ncx q[3], q[5];\nrz(0.0716) q[5];\ncx q[3], q[5];\ncx q[7], q[5];\nrz(-0.0716) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(-0.0716) q[5];\ncx q[8], q[5];\ncx q[4], q[5];\nrz(0.1432) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0358) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(-0.0358) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(-0.0358) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(0.0716) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.1432) q[6];\ncx q[5], q[6];\nrz(0.0716) q[3];\nrz(0.0119) q[0];\nrz(0.0119) q[1];\nrz(-0.0358) q[7];\nrz(-0.0358) q[8];\nrz(0.2506) q[4];\nrz(0.5012) q[5];\nrz(0.2506) q[6];\nrz(-0.0119) q[2];\nh q[0];\nrz(-0.1334) q[0];\nh q[0];\nh q[1];\nrz(-0.1334) q[1];\nh q[1];\nh q[2];\nrz(-0.1334) q[2];\nh q[2];\nh q[3];\nrz(-0.1334) q[3];\nh q[3];\nh q[4];\nrz(-0.1334) q[4];\nh q[4];\nh q[5];\nrz(-0.1334) q[5];\nh q[5];\nh q[6];\nrz(-0.1334) q[6];\nh q[6];\nh q[7];\nrz(-0.1334) q[7];\nh q[7];\nh q[8];\nrz(-0.1334) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x2) q[8];\ncx q[7], q[8];\ncx q[3], q[4];\nrz(x3) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(x0) q[4];\ncx q[8], q[4];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[7], q[5];\nrz(x4) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(x4) q[5];\ncx q[8], q[5];\ncx q[4], q[5];\nrz(x5) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(x0) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x5) q[6];\ncx q[5], q[6];\nrz(x2) q[3];\nrz(x6) q[0];\nrz(x6) q[1];\nrz(x0) q[7];\nrz(x0) q[8];\nrz(x7) q[4];\nrz(x8) q[5];\nrz(x7) q[6];\nrz(x9) q[2];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x12) q[1];\ncx q[0], q[1];\ncx q[3], q[7];\nrz(x11) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(x11) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x13) q[8];\ncx q[7], q[8];\ncx q[3], q[4];\nrz(x14) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(x11) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(x11) q[4];\ncx q[8], q[4];\ncx q[3], q[5];\nrz(x13) q[5];\ncx q[3], q[5];\ncx q[7], q[5];\nrz(x15) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(x15) q[5];\ncx q[8], q[5];\ncx q[4], q[5];\nrz(x16) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x14) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(x11) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(x11) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(x13) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x16) q[6];\ncx q[5], q[6];\nrz(x13) q[3];\nrz(x17) q[0];\nrz(x17) q[1];\nrz(x11) q[7];\nrz(x11) q[8];\nrz(x18) q[4];\nrz(x19) q[5];\nrz(x18) q[6];\nrz(x20) q[2];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\ncx q[3], q[0];\nrz(x22) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x22) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x23) q[1];\ncx q[0], q[1];\ncx q[3], q[7];\nrz(x22) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(x22) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x24) q[8];\ncx q[7], q[8];\ncx q[3], q[4];\nrz(x25) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(x22) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(x22) q[4];\ncx q[8], q[4];\ncx q[3], q[5];\nrz(x24) q[5];\ncx q[3], q[5];\ncx q[7], q[5];\nrz(x26) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(x26) q[5];\ncx q[8], q[5];\ncx q[4], q[5];\nrz(x27) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x25) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(x22) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(x22) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(x24) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x27) q[6];\ncx q[5], q[6];\nrz(x24) q[3];\nrz(x28) q[0];\nrz(x28) q[1];\nrz(x22) q[7];\nrz(x22) q[8];\nrz(x29) q[4];\nrz(x30) q[5];\nrz(x29) q[6];\nrz(x31) q[2];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nh q[8];\nrz(x32) q[8];\nh q[8];\ncx q[3], q[0];\nrz(x33) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x33) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x34) q[1];\ncx q[0], q[1];\ncx q[3], q[7];\nrz(x33) q[7];\ncx q[3], q[7];\ncx q[3], q[8];\nrz(x33) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x35) q[8];\ncx q[7], q[8];\ncx q[3], q[4];\nrz(x36) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(x33) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(x33) q[4];\ncx q[8], q[4];\ncx q[3], q[5];\nrz(x35) q[5];\ncx q[3], q[5];\ncx q[7], q[5];\nrz(x37) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(x37) q[5];\ncx q[8], q[5];\ncx q[4], q[5];\nrz(x38) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x36) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(x33) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(x33) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(x35) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x38) q[6];\ncx q[5], q[6];\nrz(x35) q[3];\nrz(x39) q[0];\nrz(x39) q[1];\nrz(x33) q[7];\nrz(x33) q[8];\nrz(x40) q[4];\nrz(x41) q[5];\nrz(x40) q[6];\nrz(x42) q[2];\nh q[0];\nrz(x43) q[0];\nh q[0];\nh q[1];\nrz(x43) q[1];\nh q[1];\nh q[2];\nrz(x43) q[2];\nh q[2];\nh q[3];\nrz(x43) q[3];\nh q[3];\nh q[4];\nrz(x43) q[4];\nh q[4];\nh q[5];\nrz(x43) q[5];\nh q[5];\nh q[6];\nrz(x43) q[6];\nh q[6];\nh q[7];\nrz(x43) q[7];\nh q[7];\nh q[8];\nrz(x43) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["02575a12c565dc28617818fe7f0b4a99","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [137, 169], \"expectation_value\": -1.6489899909537766, \"params\": [0.609, 0.0056, 0.1487, 0.3457, 0.5979, 0.1356, 0.3577, 0.365, 0.6027, 0.084, 0.0016, -0.4403, 0.3209, 0.1376, 0.6085, 0.0658, 0.6059, 0.018600000000000002, 0.152, 0.3805, 0.5982000000000001, 0.2554, 0.3504, 0.3839, 0.6053000000000001, 0.08940000000000001, 0.0018000000000000002, 0.4435, 0.3242, 0.1401, 0.609, 0.0656, 0.6017, 0.0004, 0.1481, 0.0011, 0.5994, 0.006900000000000001, 0.3491, 0.0039000000000000003, 0.6028, 0.0081, 0.0021000000000000003, 0.0019, 0.31880000000000003, 0.0037, 0.6043000000000001, 0.0088, 0.3498, 0.009300000000000001, 0.0077, -0.0757, 0.4077, 0.0037, 0.0068000000000000005, 0.183, 0.4413, 0.0089, 0.0016, -0.12810000000000002, 0.1287, 0.0098, 0.007, 0.001, 0.40590000000000004, 0.0046, 0.0008, 0.2404, 0.4158, 0.008, 0.0057, 0.2348, -0.42850000000000005, 0.0061, 0.0021000000000000003, -0.1346, 0.14450000000000002, 0.0067, 0.0019, 0.0086, 0.0076, 0.0009000000000000001, 0.0056, 0.0041, 0.0078000000000000005, 0.0066, 0.0008, 0.0098, 0.0026000000000000003, 0.0026000000000000003, 0.003, 0.0098, 0.008, 0.0009000000000000001, 0.004200000000000001, 0.0086], \"bitstrings\": [\"01110110\", \"01010110\"], \"total_optimization_steps\": 60, \"probabilities\": [0.0539344088427448, 0.08713248000836507], \"optimization_time\": 9.16047978401184}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(2)) + 0.125 * (Z(4) @ Z(0) @ Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(3) @ Z(7) @ Z(6)) + -0.125 * Z(0) + -0.5 * Z(1) + -0.125 * Z(2) + -0.25 * Z(3) + -0.125 * Z(4) + -0.625 * Z(5) + -0.25 * Z(6) + -0.25 * Z(7)",16,8,3,"{\"smallest_eigenvalues\": [-3.375, -3.375, -3.375], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.375, \"smallest_bitstrings\": [\"01011100\", \"01010110\", \"01100110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.609) q[0];\nrz(0.0056) q[0];\nrx(0.1487) q[1];\nrz(0.3457) q[1];\nrx(0.5979) q[2];\nrz(0.1356) q[2];\nrx(0.3577) q[3];\nrz(0.365) q[3];\nrx(0.6027) q[4];\nrz(0.084) q[4];\nrx(0.0016) q[5];\nrz(-0.4403) q[5];\nrx(0.3209) q[6];\nrz(0.1376) q[6];\nrx(0.6085) q[7];\nrz(0.0658) q[7];\ncrz(0.3498) q[1], q[0];\ncrz(0.4077) q[3], q[2];\ncrz(0.4413) q[5], q[4];\ncrz(0.1287) q[7], q[6];\ncrz(-0.0757) q[2], q[1];\ncrz(0.183) q[4], q[3];\ncrz(-0.1281) q[6], q[5];\nrx(0.6059) q[0];\nrz(0.0186) q[0];\nrx(0.152) q[1];\nrz(0.3805) q[1];\nrx(0.5982) q[2];\nrz(0.2554) q[2];\nrx(0.3504) q[3];\nrz(0.3839) q[3];\nrx(0.6053) q[4];\nrz(0.0894) q[4];\nrx(0.0018) q[5];\nrz(0.4435) q[5];\nrx(0.3242) q[6];\nrz(0.1401) q[6];\nrx(0.609) q[7];\nrz(0.0656) q[7];\ncrz(0.4059) q[1], q[0];\ncrz(0.4158) q[3], q[2];\ncrz(-0.4285) q[5], q[4];\ncrz(0.1445) q[7], q[6];\ncrz(0.2404) q[2], q[1];\ncrz(0.2348) q[4], q[3];\ncrz(-0.1346) q[6], q[5];\nrx(0.6017) q[0];\nrz(0.0004) q[0];\nrx(0.1481) q[1];\nrz(0.0011) q[1];\nrx(0.5994) q[2];\nrz(0.0069) q[2];\nrx(0.3491) q[3];\nrz(0.0039) q[3];\nrx(0.6028) q[4];\nrz(0.0081) q[4];\nrx(0.0021) q[5];\nrz(0.0019) q[5];\nrx(0.3188) q[6];\nrz(0.0037) q[6];\nrx(0.6043) q[7];\nrz(0.0088) q[7];\ncrz(0.0076) q[1], q[0];\ncrz(0.0078) q[3], q[2];\ncrz(0.0026) q[5], q[4];\ncrz(0.008) q[7], q[6];\ncrz(0.0041) q[2], q[1];\ncrz(0.0098) q[4], q[3];\ncrz(0.0098) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[1], q[0];\ncrz(x17) q[3], q[2];\ncrz(x18) q[5], q[4];\ncrz(x19) q[7], q[6];\ncrz(x20) q[2], q[1];\ncrz(x21) q[4], q[3];\ncrz(x22) q[6], q[5];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x0) q[7];\nrz(x37) q[7];\ncrz(x38) q[1], q[0];\ncrz(x39) q[3], q[2];\ncrz(x40) q[5], q[4];\ncrz(x41) q[7], q[6];\ncrz(x42) q[2], q[1];\ncrz(x43) q[4], q[3];\ncrz(x44) q[6], q[5];\nrx(x45) q[0];\nrz(x46) q[0];\nrx(x47) q[1];\nrz(x48) q[1];\nrx(x49) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x59) q[7];\nrz(x60) q[7];\ncrz(x61) q[1], q[0];\ncrz(x62) q[3], q[2];\ncrz(x63) q[5], q[4];\ncrz(x64) q[7], q[6];\ncrz(x65) q[2], q[1];\ncrz(x66) q[4], q[3];\ncrz(x66) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["3fb92c2724b637b3a6562529e78f511e","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 4}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 6, \"source\": 1, \"target\": 5}, {\"weight\": 13, \"source\": 1, \"target\": 4}, {\"weight\": 18, \"source\": 1, \"target\": 7}, {\"weight\": 6, \"source\": 2, \"target\": 6}, {\"weight\": 17, \"source\": 2, \"target\": 5}, {\"weight\": 1, \"source\": 3, \"target\": 7}, {\"weight\": 18, \"source\": 3, \"target\": 4}]}","{\"states\": [345, 218], \"expectation_value\": -11.318866463275493, \"params\": [[0.050100000000000006], [-0.0849]], \"bitstrings\": [\"010100110\", \"100100101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004701145010902859, 0.005421292114778906], \"optimization_time\": 1.9700360298156738}","4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 10.0 * Z(1) + 18.0 * Z(4) + 15.5 * Z(2) + 7.5 * Z(3) + 8.5 * Z(5) + -1.5 * Z(6) + 5.0 * Z(8) + 13.5 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-76.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -68.5, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[0], q[1];\nrz(0.4509) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(0.4509) q[4];\ncx q[1], q[4];\ncx q[0], q[2];\nrz(0.4509) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(0.4509) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(0.4509) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(0.4509) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(0.4509) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(0.4509) q[6];\ncx q[5], q[6];\ncx q[1], q[8];\nrz(0.4509) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(0.4509) q[8];\ncx q[4], q[8];\ncx q[0], q[7];\nrz(0.4509) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.4509) q[7];\ncx q[2], q[7];\ncx q[8], q[7];\nrz(0.4509) q[7];\ncx q[8], q[7];\nrz(0.9519) q[0];\nrz(1.002) q[1];\nrz(1.8036) q[4];\nrz(1.5531) q[2];\nrz(0.7515) q[3];\nrz(0.8517) q[5];\nrz(-0.1503) q[6];\nrz(0.501) q[8];\nrz(1.3527) q[7];\nh q[0];\nrz(-0.1698) q[0];\nh q[0];\nh q[1];\nrz(-0.1698) q[1];\nh q[1];\nh q[2];\nrz(-0.1698) q[2];\nh q[2];\nh q[3];\nrz(-0.1698) q[3];\nh q[3];\nh q[4];\nrz(-0.1698) q[4];\nh q[4];\nh q[5];\nrz(-0.1698) q[5];\nh q[5];\nh q[6];\nrz(-0.1698) q[6];\nh q[6];\nh q[7];\nrz(-0.1698) q[7];\nh q[7];\nh q[8];\nrz(-0.1698) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\nrz(x1) q[0];\nrz(x2) q[1];\nrz(x3) q[4];\nrz(x4) q[2];\nrz(x5) q[3];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[8];\nrz(x9) q[7];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["ec471b6985489d774242f85569adf59b","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 5, \"target\": 4}]}","{\"states\": [7, 31], \"expectation_value\": -4.696884377382494, \"params\": null, \"bitstrings\": [\"1111000\", \"1100000\"], \"total_optimization_steps\": 50, \"probabilities\": [0.2078127726415533, 0.6174813467105884], \"optimization_time\": 44.14005661010742}","-0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-5.25, -5.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.25, \"smallest_bitstrings\": [\"1100000\", \"1000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.57) q[5], q[4];\ncry(1.5486) q[2], q[3];\nry(0.845) q[5];\ncry(1.2245) q[3], q[2];\nry(0.4428) q[4];\ncry(1.5157) q[4], q[6];\ncry(-1.5353) q[6], q[0];\ncry(0.5815) q[4], q[5];\nry(-1.1414) q[1];\ncry(-0.2756) q[6], q[1];\ncry(0.1252) q[3], q[0];\ncry(-0.095) q[4], q[0];\nry(0.0774) q[0];\ncry(-0.0777) q[5], q[0];\ncry(0.0386) q[5], q[6];\ncry(0.0213) q[6], q[4];\ncry(-0.137) q[2], q[1];\ncry(0.0804) q[2], q[0];\nry(-0.0209) q[6];\ncry(-0.1039) q[0], q[6];\ncry(-0.073) q[3], q[1];\ncry(-0.0638) q[5], q[1];\ncry(-0.0691) q[0], q[1];\nry(0.0142) q[3];\ncry(-0.0373) q[4], q[1];\nry(0.0085) q[2];\ncry(0.0067) q[4], q[3];\ncry(0.0071) q[6], q[5];\ncry(-0.0036) q[3], q[5];\ncry(-0.0179) q[0], q[5];\ncry(0.0064) q[4], q[2];\ncry(0.0044) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}",{"$cut":{"chars":38958,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\ncry(1.5486) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\ncry(1.5486) q[2], q[3];\\nry(0.845) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\ncry(1.5486) q[2], q[3];\\nry(0.845) q[5];\\ncry(1.2245) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\ncry(1.5486) q[2], q[3];\\nry(0.845) q[5];\\ncry(1.2245) q[3], q[2];\\nry(0.4428) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\ncry(1.5486) q[2], q[3];\\nry(0.845) q[5];\\ncry(1.2245) q[3], q[2];\\nry(0.4428) q[4];\\ncry(1.5157) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\ncry(1.5486) q[2], q[3];\\nry(0.845) q[5];\\ncry(1.2245) q[3], q[2];\\nry(0.4428) q[4];\\ncry(1.5157) q[4], q[6];\\ncry(-1.5353) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\ncry(1.5486) q[2], q[3];\\nry(0.845) q[5];\\ncry(1.2245) q[3], q[2];\\nry(0.4428) q[4];\\ncry(1.5157) q[4], q[6];\\ncry(-1.5353) q[6], q[0];\\ncry(0.5815) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\ncry(1.5486) q[2], q[3];\\nry(0.845) q[5];\\ncry(1.2245) q[3], q[2];\\nry(0.4428) q[4];\\ncry(1.5157) q[4], q[6];\\ncry(-1.5353) q[6], q[0];\\ncry(0.5815) q[4], q[5];\\nry(-1.1414) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.57) q[5], q[4];\\ncry(1.5486) q[2], q[3];\\nry(0.845) q[5];\\ncry(1.2245) q[3], q[2];\\nry(0.4428) q[4];\\ncry(1.5157) q[4], q[6];\\ncry(-1.5353) q[6], q[0];\\ncry(0.5815) q[4], q[5];\\nry(-1.1414) q[1];\\ncry(-0.2756) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q["}}]
["7785e3e7ad6fcc746d4b86c67fd57c41","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 5, \"source\": 4, \"target\": 3}, {\"capacity\": 5, \"source\": 4, \"target\": 6}]}","{\"states\": [32, 37], \"expectation_value\": -6.7499846294977495, \"params\": null, \"bitstrings\": [\"1011111\", \"1011010\"], \"total_optimization_steps\": 22, \"probabilities\": [0.13524994988448263, 0.7500017798526092], \"optimization_time\": 21.896162509918213}","-0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5) + 0.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-7.25, -7.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.25, \"smallest_bitstrings\": [\"1011010\", \"1010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nry(-1.5706) q[5];\ncry(1.5486) q[6], q[4];\ncry(1.228) q[4], q[6];\nry(1.5158) q[1];\ncry(-1.4869) q[6], q[0];\nry(-1.3848) q[2];\ncry(-0.1701) q[1], q[2];\nry(-0.0831) q[0];\ncry(0.048) q[4], q[1];\nry(0.0131) q[4];\nry(0.0068) q[6];\ncry(-0.014) q[6], q[2];\ncry(0.0057) q[1], q[4];\ncry(-0.0002) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\ncry(-0.014) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\ncry(-0.014) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\ncry(-0.014) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\ncry(-0.014) q[6], q[2];\\ncry(0.0057) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\ncry(-0.014) q[6], q[2];\\ncry(0.0057) q[1], q[4];\\ncry(-0.0002) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\ncry(-0.014) q[6], q[2];\\ncry(0.0057) q[1], q[4];\\ncry(-0.0002) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\ncry(-0.014) q[6], q[2];\\ncry(0.0057) q[1], q[4];\\ncry(-0.0002) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\ncry(-0.014) q[6], q[2];\\ncry(0.0057) q[1], q[4];\\ncry(-0.0002) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5706) q[5];\\ncry(1.5486) q[6], q[4];\\ncry(1.228) q[4], q[6];\\nry(1.5158) q[1];\\ncry(-1.4869) q[6], q[0];\\nry(-1.3848) q[2];\\ncry(-0.1701) q[1], q[2];\\nry(-0.0831) q[0];\\ncry(0.048) q[4], q[1];\\nry(0.0131) q[4];\\nry(0.0068) q[6];\\ncry(-0.014) q[6], q[2];\\ncry(0.0057) q[1], q[4];\\ncry(-0.0002) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [2.4887, 1.245, 0.7543, 0.8809, 0.6254, 0.5617, 0.4369, 0.0818, 0.0651, 0.0198, 0.0122, 0.0108, 0.0084, 0.0068, 0.0063, 0.0054, 0.0053, 0.0042, 0.0039, 0.0035, 0.003, 0.0027]}"]
["e6f5f7344f65c4a1f156bb9648ed863a","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [77, 78], \"expectation_value\": -1.397147580128852, \"params\": [[-0.0737, -0.07540000000000001, -0.0616], [0.07350000000000001, 0.0747, 0.068]], \"bitstrings\": [\"0110010\", \"0110001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.015837717795064443, 0.016108097104030248], \"optimization_time\": 4.821617603302002}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(4) + -0.5 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0110010\", \"0110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0737) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0737) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0737) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0737) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0737) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(-0.0737) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0737) q[5];\ncx q[2], q[5];\ncx q[1], q[4];\nrz(-0.0737) q[4];\ncx q[1], q[4];\ncx q[2], q[6];\nrz(-0.0737) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0737) q[6];\ncx q[5], q[6];\nrz(0.2948) q[1];\nrz(0.0737) q[0];\nrz(0.2948) q[2];\nrz(0.0737) q[3];\nrz(0.1474) q[5];\nrz(0) q[4];\nrz(0.0737) q[6];\nh q[0];\nrz(0.147) q[0];\nh q[0];\nh q[1];\nrz(0.147) q[1];\nh q[1];\nh q[2];\nrz(0.147) q[2];\nh q[2];\nh q[3];\nrz(0.147) q[3];\nh q[3];\nh q[4];\nrz(0.147) q[4];\nh q[4];\nh q[5];\nrz(0.147) q[5];\nh q[5];\nh q[6];\nrz(0.147) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0754) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0754) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0754) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0754) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0754) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(-0.0754) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0754) q[5];\ncx q[2], q[5];\ncx q[1], q[4];\nrz(-0.0754) q[4];\ncx q[1], q[4];\ncx q[2], q[6];\nrz(-0.0754) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0754) q[6];\ncx q[5], q[6];\nrz(0.3016) q[1];\nrz(0.0754) q[0];\nrz(0.3016) q[2];\nrz(0.0754) q[3];\nrz(0.1508) q[5];\nrz(0) q[4];\nrz(0.0754) q[6];\nh q[0];\nrz(0.1494) q[0];\nh q[0];\nh q[1];\nrz(0.1494) q[1];\nh q[1];\nh q[2];\nrz(0.1494) q[2];\nh q[2];\nh q[3];\nrz(0.1494) q[3];\nh q[3];\nh q[4];\nrz(0.1494) q[4];\nh q[4];\nh q[5];\nrz(0.1494) q[5];\nh q[5];\nh q[6];\nrz(0.1494) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0616) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0616) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0616) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0616) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0616) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(-0.0616) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0616) q[5];\ncx q[2], q[5];\ncx q[1], q[4];\nrz(-0.0616) q[4];\ncx q[1], q[4];\ncx q[2], q[6];\nrz(-0.0616) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0616) q[6];\ncx q[5], q[6];\nrz(0.2464) q[1];\nrz(0.0616) q[0];\nrz(0.2464) q[2];\nrz(0.0616) q[3];\nrz(0.1232) q[5];\nrz(0) q[4];\nrz(0.0616) q[6];\nh q[0];\nrz(0.136) q[0];\nh q[0];\nh q[1];\nrz(0.136) q[1];\nh q[1];\nh q[2];\nrz(0.136) q[2];\nh q[2];\nh q[3];\nrz(0.136) q[3];\nh q[3];\nh q[4];\nrz(0.136) q[4];\nh q[4];\nh q[5];\nrz(0.136) q[5];\nh q[5];\nh q[6];\nrz(0.136) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x1) q[2];\nrz(x2) q[3];\nrz(x3) q[5];\nrz(x4) q[4];\nrz(x2) q[6];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\nrz(x7) q[1];\nrz(x8) q[0];\nrz(x7) q[2];\nrz(x8) q[3];\nrz(x9) q[5];\nrz(x4) q[4];\nrz(x8) q[6];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x11) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x11) q[6];\ncx q[5], q[6];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x12) q[2];\nrz(x13) q[3];\nrz(x14) q[5];\nrz(x4) q[4];\nrz(x13) q[6];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["2548882ad4081bf6af959ce2e70710f1","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 8}, {\"source\": 3, \"target\": 9}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 8}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 6, \"target\": 9}, {\"source\": 8, \"target\": 9}]}","{\"states\": [254, 255], \"expectation_value\": -16.689246070810807, \"params\": null, \"bitstrings\": [\"100000001\", \"100000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.05069918314737553, 0.3660069107252913], \"optimization_time\": 270.8439185619354}","-2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(2)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(4)) + -4.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(2)) + -3.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(6) + -0.5 * Z(0)",1,9,1,"{\"smallest_eigenvalues\": [-35.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -34.0, \"smallest_bitstrings\": [\"100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[5], q[8];\ncry(1.5577) q[8], q[7];\nry(-0.3214) q[5];\ncry(0.052) q[8], q[5];\ncry(0.0042) q[7], q[5];\ncry(0.1386) q[7], q[4];\ncry(0.0799) q[8], q[4];\nry(0.1239) q[4];\ncry(0.9441) q[7], q[2];\ncry(0.3924) q[2], q[5];\ncry(1.117) q[2], q[4];\ncry(-0.0135) q[4], q[5];\ncry(1.5661) q[8], q[3];\ncry(1.3533) q[3], q[1];\ncry(-0.3491) q[3], q[5];\ncry(-0.036) q[1], q[5];\ncry(1.2255) q[6], q[5];\ncry(3.0064) q[4], q[8];\nry(-3.0403) q[8];\ncry(-0.3343) q[3], q[8];\ncry(9.4693) q[7], q[8];\ncry(-4.0108) q[1], q[8];\ncry(1.1743) q[2], q[8];\ncry(-0.8506) q[6], q[8];\ncry(0.3057) q[0], q[8];\ncry(0.7472) q[0], q[5];\ncry(0.4258) q[8], q[2];\ncry(-1.5409) q[2], q[7];\ncry(0.0707) q[4], q[7];\nry(0.0905) q[7];\ncry(0.0641) q[3], q[7];\ncry(-0.0053) q[5], q[7];\ncry(0.0414) q[1], q[7];\ncry(1.4831) q[0], q[7];\ncry(0.6988) q[6], q[7];\ncry(1.1661) q[5], q[6];\ncry(-0.868) q[1], q[3];\nry(0.0388) q[3];\ncry(0.004) q[4], q[3];\ncry(0.0424) q[2], q[3];\ncry(0.8484) q[6], q[3];\ncry(0.216) q[0], q[3];\ncry(-0.1487) q[5], q[3];\ncry(1.2757) q[1], q[4];\ncry(0.0831) q[3], q[4];\ncry(-0.3087) q[6], q[4];\ncry(-0.0329) q[5], q[4];\ncry(-1.1219) q[0], q[4];\ncry(-0.256) q[4], q[2];\ncry(0.0374) q[4], q[1];\ncry(0.026) q[5], q[1];\nry(-0.0594) q[1];\nry(-0.2412) q[6];\ncry(0.3267) q[8], q[6];\ncry(0.16) q[1], q[2];\nry(-1.168) q[0];\ncry(-0.2072) q[1], q[6];\ncry(0.0873) q[7], q[3];\ncry(-0.0658) q[7], q[1];\ncry(0.1291) q[8], q[1];\ncry(-0.0931) q[2], q[1];\ncry(-0.4605) q[4], q[0];\ncry(-0.0971) q[6], q[2];\ncry(0.1063) q[3], q[6];\nry(0.0624) q[2];\ncry(-0.0663) q[5], q[2];\ncry(-0.065) q[2], q[6];\ncry(-0.3624) q[0], q[2];\ncry(0.0379) q[3], q[2];\ncry(0.104) q[0], q[1];\ncry(-0.0216) q[6], q[1];\ncry(-0.1405) q[0], q[6];\ncry(0.0443) q[7], q[6];\ncry(-0.0273) q[4], q[6];\ncry(-0.0829) q[7], q[0];\ncry(0.1042) q[2], q[0];\ncry(-0.0873) q[5], q[0];\ncry(0.0678) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"node\": 1}",{"$cut":{"chars":149649,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[8];\\ncry(1.5577) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[8];\\ncry(1.5577) q[8], q[7];\\nry(-0.3214) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[8];\\ncry(1.5577) q[8], q[7];\\nry(-0.3214) q[5];\\ncry(0.052) q[8], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[8];\\ncry(1.5577) q[8], q[7];\\nry(-0.3214) q[5];\\ncry(0.052) q[8], q[5];\\ncry(0.0042) q[7], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[8];\\ncry(1.5577) q[8], q[7];\\nry(-0.3214) q[5];\\ncry(0.052) q[8], q[5];\\ncry(0.0042) q[7], q[5];\\ncry(0.1386) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[8];\\ncry(1.5577) q[8], q[7];\\nry(-0.3214) q[5];\\ncry(0.052) q[8], q[5];\\ncry(0.0042) q[7], q[5];\\ncry(0.1386) q[7], q[4];\\ncry(0.0799) q[8], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[8];\\ncry(1.5577) q[8], q[7];\\nry(-0.3214) q[5];\\ncry(0.052) q[8], q[5];\\ncry(0.0042) q[7], q[5];\\ncry(0.1386) q[7], q[4];\\ncry(0.0799) q[8], q[4];\\nry(0.1239) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5708) q[5], q[8];\\ncry(1.5577) q[8], q[7];\\nry(-0.3214) q[5];\\ncry(0.052) q[8], q[5];\\ncry(0.0042) q[7], q[5];\\ncry(0.1386) q[7], q[4];\\ncry(0.0799) q[8], q[4];\\nry(0.1239) q[4];\\ncry(0.9441) q[7], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measur"}}]
["b2987b745cb916df3f5a63553d1bb231","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 5, \"target\": 3}]}","{\"states\": [1016, 984], \"expectation_value\": -3.672503975374365, \"params\": [0.7908000000000001, 0.7984, 0.7932, 0.7971, 0.8048000000000001, 0.8001, 0.807, 0.8026000000000001, 0.8082, 0.805, 0.8086, 0.8052, 0.8057000000000001, 0.8038000000000001, 0.8082, 0.8044, 0.801, 0.8029000000000001, 0.0016, 0.0039000000000000003, 0.0049, 0.0011, 0.395, -0.0742, 0.1072, -0.0028, 0.7934, -0.44430000000000003, 0.7938000000000001, 0.7906000000000001, 0.7924, 0.7881, 0.0309, 0.7869, 0.7944, -0.4812, 0.5112, 0.794, -0.19720000000000001, 0.7894, -0.0019, 0.5686, 0.217, -0.002], \"bitstrings\": [\"10000000111\", \"10000100111\"], \"total_optimization_steps\": 80, \"probabilities\": [0.005738149117593022, 0.005743005133322408], \"optimization_time\": 20.21719717979431}","1.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(9) @ Z(4)) + -0.5 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(10)) + -0.5 * (Z(9) @ Z(2)) + 2.5 * Z(4) + 2.5 * Z(3) + 1.0 * Z(5) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + 1.5 * Z(6) + -1.5 * Z(10) + 1.0 * Z(7) + 1.0 * Z(8) + 1.3333333333333335 * Z(2) + -1.0 * Z(9)",14,11,1,"{\"smallest_eigenvalues\": [-8.666666666666668, -8.666666666666668, -8.666666666666668, -8.666666666666668], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -8.666666666666666, \"smallest_bitstrings\": [\"01000100111\", \"01000101011\", \"10000101011\", \"10000100111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.7908) q[0];\nry(0.7932) q[1];\nry(0.8048) q[2];\nry(0.807) q[3];\nry(0.8082) q[4];\nry(0.8086) q[5];\nry(0.8057) q[6];\nry(0.8082) q[7];\nry(0.801) q[8];\nry(0.0016) q[9];\nry(0.0049) q[10];\ncrx(0.395) q[10], q[0];\ncrx(0.217) q[9], q[10];\ncrx(-0.0019) q[8], q[9];\ncrx(-0.1972) q[7], q[8];\ncrx(0.5112) q[6], q[7];\ncrx(0.7944) q[5], q[6];\ncrx(0.0309) q[4], q[5];\ncrx(0.7924) q[3], q[4];\ncrx(0.7938) q[2], q[3];\ncrx(0.7934) q[1], q[2];\ncrx(0.1072) q[0], q[1];\nry(0.7984) q[0];\nry(0.7971) q[1];\nry(0.8001) q[2];\nry(0.8026) q[3];\nry(0.805) q[4];\nry(0.8052) q[5];\nry(0.8038) q[6];\nry(0.8044) q[7];\nry(0.8029) q[8];\nry(0.0039) q[9];\nry(0.0011) q[10];\ncrx(-0.0742) q[10], q[9];\ncrx(-0.0028) q[0], q[10];\ncrx(-0.4443) q[0], q[1];\ncrx(0.7906) q[1], q[2];\ncrx(0.7881) q[2], q[3];\ncrx(0.7869) q[3], q[4];\ncrx(-0.4812) q[4], q[5];\ncrx(0.794) q[5], q[6];\ncrx(0.7894) q[6], q[7];\ncrx(0.5686) q[7], q[8];\ncrx(-0.002) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x4) q[7];\nry(x7) q[8];\nry(x8) q[9];\nry(x9) q[10];\ncrx(x10) q[10], q[0];\ncrx(x11) q[9], q[10];\ncrx(x12) q[8], q[9];\ncrx(x13) q[7], q[8];\ncrx(x14) q[6], q[7];\ncrx(x15) q[5], q[6];\ncrx(x16) q[4], q[5];\ncrx(x17) q[3], q[4];\ncrx(x18) q[2], q[3];\ncrx(x19) q[1], q[2];\ncrx(x20) q[0], q[1];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x24) q[3];\nry(x25) q[4];\nry(x26) q[5];\nry(x27) q[6];\nry(x28) q[7];\nry(x29) q[8];\nry(x30) q[9];\nry(x31) q[10];\ncrx(x32) q[10], q[9];\ncrx(x33) q[0], q[10];\ncrx(x34) q[0], q[1];\ncrx(x35) q[1], q[2];\ncrx(x36) q[2], q[3];\ncrx(x37) q[3], q[4];\ncrx(x38) q[4], q[5];\ncrx(x39) q[5], q[6];\ncrx(x40) q[6], q[7];\ncrx(x41) q[7], q[8];\ncrx(x42) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["0615486ccb356b09654d7a8dd1e9f354","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 5, \"target\": 4}]}","{\"states\": [3, 1], \"expectation_value\": -0.2786924681416792, \"params\": [[-0.0468], [0.0591]], \"bitstrings\": [\"1111100\", \"1111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009410914513974243, 0.009555086527784626], \"optimization_time\": 1.8767383098602295}","-0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(2) + -1.0 * Z(3) + 1.0 * Z(6) + 0.75 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-10.75, -10.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -8.75, \"smallest_bitstrings\": [\"1111110\", \"1111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.0702) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(0.0936) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0702) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(0.0702) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(0.0234) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(0.1404) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(0.0702) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(0.117) q[3];\ncx q[2], q[3];\ncx q[1], q[6];\nrz(0.0234) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.1638) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(0.0468) q[6];\ncx q[4], q[6];\ncx q[4], q[5];\nrz(0.0702) q[5];\ncx q[4], q[5];\nrz(0.0234) q[1];\nrz(0.0234) q[0];\nrz(-0.0468) q[4];\nrz(0.0702) q[2];\nrz(0.0936) q[3];\nrz(-0.0936) q[6];\nrz(-0.0702) q[5];\nh q[0];\nrz(0.1182) q[0];\nh q[0];\nh q[1];\nrz(0.1182) q[1];\nh q[1];\nh q[2];\nrz(0.1182) q[2];\nh q[2];\nh q[3];\nrz(0.1182) q[3];\nh q[3];\nh q[4];\nrz(0.1182) q[4];\nh q[4];\nh q[5];\nrz(0.1182) q[5];\nh q[5];\nh q[6];\nrz(0.1182) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x2) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x5) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x6) q[6];\ncx q[4], q[6];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x7) q[4];\nrz(x0) q[2];\nrz(x1) q[3];\nrz(x8) q[6];\nrz(x9) q[5];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["de8cc468e237fc0b01b4910fa798084b","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 10}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 9}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 10}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 1, \"source\": 7, \"target\": 9}, {\"capacity\": 2, \"source\": 7, \"target\": 10}, {\"capacity\": 2, \"source\": 8, \"target\": 5}, {\"capacity\": 2, \"source\": 8, \"target\": 7}, {\"capacity\": 1, \"source\": 9, \"target\": 6}, {\"capacity\": 2, \"source\": 9, \"target\": 8}]}","{\"states\": [0, 448], \"expectation_value\": -6.6718275715917175, \"params\": [-0.014700000000000001, 0.0352, -0.0025, -0.055900000000000005, -0.0044, 0.22080000000000002, -0.0011, 0.2386, 0.23240000000000002, 0.0013000000000000002, 0.2426, 0.0032, 0.2102, -0.0055000000000000005, 0.2227, -0.0038, 0.2335, 0.0017000000000000001, 0.24910000000000002, 0.0035, -0.0056, 0.1947, 0.0021000000000000003, 0.2374, -0.007200000000000001, 0.1907, -0.0009000000000000001, 0.23800000000000002, -0.0045000000000000005, 0.2293, 0.0012000000000000001, 0.23850000000000002, -0.0036000000000000003, 0.2286, -0.002, 0.2197, -0.0031000000000000003, 0.17270000000000002, -0.0012000000000000001, 0.1773, -0.0059, 0.1282, 0.00030000000000000003, 0.224, -0.005200000000000001, -0.0115, 0.0103, -0.165, -0.0038, 0.2335, 0.001, 0.23520000000000002, 0.23570000000000002, -0.001, 0.24180000000000001, 0.0048000000000000004, 0.22410000000000002, -0.0092, 0.2074, -0.003, 0.24700000000000003, -0.0013000000000000002, 0.2501, 0.0057, -0.0056, 0.23950000000000002, -0.0028, 0.227, -0.0034000000000000002, 0.24000000000000002, 0.0024000000000000002, 0.23190000000000002, -0.004, 0.2369, -0.0078000000000000005, 0.23620000000000002, -0.0009000000000000001, 0.2223, -0.0066, 0.2283, 0.0001, 0.1854, -0.0032, 0.16090000000000002, -0.0032, 0.2207, -0.0045000000000000005, 0.1714, 0.0068000000000000005, -0.1573, -0.010400000000000001, 0.0082, 0.002, 0.2025, -0.0039000000000000003, 0.0005, 0.2434, -0.0004, 0.2369, 0.0083, 0.2058, -0.0533, 0.23950000000000002, 0.0066, 0.2515, -0.0033, 0.2763, 0.001, 0.0005, 0.2187, 0.0004, 0.004, -0.003, 0.2335, -0.001, 0.0047, 0.001, 0.2356, -0.0043, 0.0026000000000000003, -0.0053, 0.1913, 0.0018000000000000002, 0.006500000000000001, 0.0016, 0.1302, -0.0007, 0.0038, -0.0011, 0.17650000000000002, -0.0024000000000000002, 0.0051, -0.022600000000000002, -0.010100000000000001, 0.2763, 0.0699, 0.2735, -0.0049, -0.0082, 0.0103, -0.0022, -0.0011, 0.0067, 0.0004, 0.01, 0.2757, 0.19010000000000002, 0.2869, 0.0074, 0.0102, 0.0006000000000000001, 0.0083, 0.006900000000000001, 0.003, 0.0028, -0.006900000000000001, 0.279, 0.22510000000000002, 0.2867, -0.0077, -0.008400000000000001, -0.0061, -0.0082, -0.013800000000000002, -0.0071], \"bitstrings\": [\"11111111111\", \"11000111111\"], \"total_optimization_steps\": 30, \"probabilities\": [0.27099567396841484, 0.3272395944431057], \"optimization_time\": 77.90528178215027}","-0.5 * (Z(0) @ Z(5)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(10) @ Z(3)) + -0.25 * (Z(10) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(10)) + -0.5 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(10)) + -0.5 * (Z(9) @ Z(8)) + -0.75 * Z(5) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(6) + 1.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(10) + 1.0 * Z(4) + -0.25 * Z(8) + 0.5 * Z(9)",6,11,3,"{\"smallest_eigenvalues\": [-7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -6.25, \"smallest_bitstrings\": [\"11000111000\", \"11000101000\", \"11000111111\", \"11000100000\", \"10000100000\", \"11000110000\", \"11010111111\", \"10000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.0147) q[0];\nrz(0.0352) q[0];\nrx(-0.0044) q[1];\nrz(0.2208) q[1];\nrx(0.2324) q[2];\nrz(0.0013) q[2];\nrx(0.2102) q[3];\nrz(-0.0055) q[3];\nrx(0.2335) q[4];\nrz(0.0017) q[4];\nrx(-0.0056) q[5];\nrz(0.1947) q[5];\nrx(-0.0072) q[6];\nrz(0.1907) q[6];\nrx(-0.0045) q[7];\nrz(0.2293) q[7];\nrx(-0.0036) q[8];\nrz(0.2286) q[8];\nrx(-0.0031) q[9];\nrz(0.1727) q[9];\nrx(-0.0059) q[10];\nrz(0.1282) q[10];\ncrx(-0.0011) q[10], q[9];\ncrx(-0.0022) q[10], q[8];\ncrx(0.0103) q[10], q[7];\ncrx(-0.0082) q[10], q[6];\ncrx(-0.0049) q[10], q[5];\ncrx(0.2735) q[10], q[4];\ncrx(0.0699) q[10], q[3];\ncrx(0.2763) q[10], q[2];\ncrx(-0.0101) q[10], q[1];\ncrx(-0.0226) q[10], q[0];\ncrx(0.0067) q[9], q[10];\ncrx(-0.0022) q[9], q[8];\ncrx(0.0103) q[9], q[7];\ncrx(-0.0082) q[9], q[6];\ncrx(-0.0049) q[9], q[5];\ncrx(0.2735) q[9], q[4];\ncrx(0.0699) q[9], q[3];\ncrx(0.2763) q[9], q[2];\ncrx(-0.0101) q[9], q[1];\ncrx(-0.0226) q[9], q[0];\ncrx(0.0067) q[8], q[10];\ncrx(-0.0011) q[8], q[9];\ncrx(0.0103) q[8], q[7];\ncrx(-0.0082) q[8], q[6];\ncrx(-0.0049) q[8], q[5];\ncrx(0.2735) q[8], q[4];\ncrx(0.0699) q[8], q[3];\ncrx(0.2763) q[8], q[2];\ncrx(-0.0101) q[8], q[1];\ncrx(-0.0226) q[8], q[0];\ncrx(0.0067) q[7], q[10];\ncrx(-0.0011) q[7], q[9];\ncrx(-0.0022) q[7], q[8];\ncrx(-0.0082) q[7], q[6];\ncrx(-0.0049) q[7], q[5];\ncrx(0.2735) q[7], q[4];\ncrx(0.0699) q[7], q[3];\ncrx(0.2763) q[7], q[2];\ncrx(-0.0101) q[7], q[1];\ncrx(-0.0226) q[7], q[0];\ncrx(0.0067) q[6], q[10];\ncrx(-0.0011) q[6], q[9];\ncrx(-0.0022) q[6], q[8];\ncrx(0.0103) q[6], q[7];\ncrx(-0.0049) q[6], q[5];\ncrx(0.2735) q[6], q[4];\ncrx(0.0699) q[6], q[3];\ncrx(0.2763) q[6], q[2];\ncrx(-0.0101) q[6], q[1];\ncrx(-0.0226) q[6], q[0];\ncrx(0.0067) q[5], q[10];\ncrx(-0.0011) q[5], q[9];\ncrx(-0.0022) q[5], q[8];\ncrx(0.0103) q[5], q[7];\ncrx(-0.0082) q[5], q[6];\ncrx(0.2735) q[5], q[4];\ncrx(0.0699) q[5], q[3];\ncrx(0.2763) q[5], q[2];\ncrx(-0.0101) q[5], q[1];\ncrx(-0.0226) q[5], q[0];\ncrx(0.0067) q[4], q[10];\ncrx(-0.0011) q[4], q[9];\ncrx(-0.0022) q[4], q[8];\ncrx(0.0103) q[4], q[7];\ncrx(-0.0082) q[4], q[6];\ncrx(-0.0049) q[4], q[5];\ncrx(0.0699) q[4], q[3];\ncrx(0.2763) q[4], q[2];\ncrx(-0.0101) q[4], q[1];\ncrx(-0.0226) q[4], q[0];\ncrx(0.0067) q[3], q[10];\ncrx(-0.0011) q[3], q[9];\ncrx(-0.0022) q[3], q[8];\ncrx(0.0103) q[3], q[7];\ncrx(-0.0082) q[3], q[6];\ncrx(-0.0049) q[3], q[5];\ncrx(0.2735) q[3], q[4];\ncrx(0.2763) q[3], q[2];\ncrx(-0.0101) q[3], q[1];\ncrx(-0.0226) q[3], q[0];\ncrx(0.0067) q[2], q[10];\ncrx(-0.0011) q[2], q[9];\ncrx(-0.0022) q[2], q[8];\ncrx(0.0103) q[2], q[7];\ncrx(-0.0082) q[2], q[6];\ncrx(-0.0049) q[2], q[5];\ncrx(0.2735) q[2], q[4];\ncrx(0.0699) q[2], q[3];\ncrx(-0.0101) q[2], q[1];\ncrx(-0.0226) q[2], q[0];\ncrx(0.0067) q[1], q[10];\ncrx(-0.0011) q[1], q[9];\ncrx(-0.0022) q[1], q[8];\ncrx(0.0103) q[1], q[7];\ncrx(-0.0082) q[1], q[6];\ncrx(-0.0049) q[1], q[5];\ncrx(0.2735) q[1], q[4];\ncrx(0.0699) q[1], q[3];\ncrx(0.2763) q[1], q[2];\ncrx(-0.0226) q[1], q[0];\ncrx(0.0067) q[0], q[10];\ncrx(-0.0011) q[0], q[9];\ncrx(-0.0022) q[0], q[8];\ncrx(0.0103) q[0], q[7];\ncrx(-0.0082) q[0], q[6];\ncrx(-0.0049) q[0], q[5];\ncrx(0.2735) q[0], q[4];\ncrx(0.0699) q[0], q[3];\ncrx(0.2763) q[0], q[2];\ncrx(-0.0101) q[0], q[1];\nrx(-0.0025) q[0];\nrz(-0.0559) q[0];\nrx(-0.0011) q[1];\nrz(0.2386) q[1];\nrx(0.2426) q[2];\nrz(0.0032) q[2];\nrx(0.2227) q[3];\nrz(-0.0038) q[3];\nrx(0.2491) q[4];\nrz(0.0035) q[4];\nrx(0.0021) q[5];\nrz(0.2374) q[5];\nrx(-0.0009) q[6];\nrz(0.238) q[6];\nrx(0.0012) q[7];\nrz(0.2385) q[7];\nrx(-0.002) q[8];\nrz(0.2197) q[8];\nrx(-0.0012) q[9];\nrz(0.1773) q[9];\nrx(0.0003) q[10];\nrz(0.224) q[10];\nrx(-0.0052) q[0];\nrz(-0.0115) q[0];\nrx(-0.0038) q[1];\nrz(0.2335) q[1];\nrx(0.2357) q[2];\nrz(-0.001) q[2];\nrx(0.2241) q[3];\nrz(-0.0092) q[3];\nrx(0.247) q[4];\nrz(-0.0013) q[4];\nrx(-0.0056) q[5];\nrz(0.2395) q[5];\nrx(-0.0034) q[6];\nrz(0.24) q[6];\nrx(-0.004) q[7];\nrz(0.2369) q[7];\nrx(-0.0009) q[8];\nrz(0.2223) q[8];\nrx(0.0001) q[9];\nrz(0.1854) q[9];\nrx(-0.0032) q[10];\nrz(0.2207) q[10];\ncrx(0.0069) q[10], q[9];\ncrx(0.0083) q[10], q[8];\ncrx(0.0006) q[10], q[7];\ncrx(0.0102) q[10], q[6];\ncrx(0.0074) q[10], q[5];\ncrx(0.2869) q[10], q[4];\ncrx(0.1901) q[10], q[3];\ncrx(0.2757) q[10], q[2];\ncrx(0.01) q[10], q[1];\ncrx(0.0004) q[10], q[0];\ncrx(0.003) q[9], q[10];\ncrx(0.0083) q[9], q[8];\ncrx(0.0006) q[9], q[7];\ncrx(0.0102) q[9], q[6];\ncrx(0.0074) q[9], q[5];\ncrx(0.2869) q[9], q[4];\ncrx(0.1901) q[9], q[3];\ncrx(0.2757) q[9], q[2];\ncrx(0.01) q[9], q[1];\ncrx(0.0004) q[9], q[0];\ncrx(0.003) q[8], q[10];\ncrx(0.0069) q[8], q[9];\ncrx(0.0006) q[8], q[7];\ncrx(0.0102) q[8], q[6];\ncrx(0.0074) q[8], q[5];\ncrx(0.2869) q[8], q[4];\ncrx(0.1901) q[8], q[3];\ncrx(0.2757) q[8], q[2];\ncrx(0.01) q[8], q[1];\ncrx(0.0004) q[8], q[0];\ncrx(0.003) q[7], q[10];\ncrx(0.0069) q[7], q[9];\ncrx(0.0083) q[7], q[8];\ncrx(0.0102) q[7], q[6];\ncrx(0.0074) q[7], q[5];\ncrx(0.2869) q[7], q[4];\ncrx(0.1901) q[7], q[3];\ncrx(0.2757) q[7], q[2];\ncrx(0.01) q[7], q[1];\ncrx(0.0004) q[7], q[0];\ncrx(0.003) q[6], q[10];\ncrx(0.0069) q[6], q[9];\ncrx(0.0083) q[6], q[8];\ncrx(0.0006) q[6], q[7];\ncrx(0.0074) q[6], q[5];\ncrx(0.2869) q[6], q[4];\ncrx(0.1901) q[6], q[3];\ncrx(0.2757) q[6], q[2];\ncrx(0.01) q[6], q[1];\ncrx(0.0004) q[6], q[0];\ncrx(0.003) q[5], q[10];\ncrx(0.0069) q[5], q[9];\ncrx(0.0083) q[5], q[8];\ncrx(0.0006) q[5], q[7];\ncrx(0.0102) q[5], q[6];\ncrx(0.2869) q[5], q[4];\ncrx(0.1901) q[5], q[3];\ncrx(0.2757) q[5], q[2];\ncrx(0.01) q[5], q[1];\ncrx(0.0004) q[5], q[0];\ncrx(0.003) q[4], q[10];\ncrx(0.0069) q[4], q[9];\ncrx(0.0083) q[4], q[8];\ncrx(0.0006) q[4], q[7];\ncrx(0.0102) q[4], q[6];\ncrx(0.0074) q[4], q[5];\ncrx(0.1901) q[4], q[3];\ncrx(0.2757) q[4], q[2];\ncrx(0.01) q[4], q[1];\ncrx(0.0004) q[4], q[0];\ncrx(0.003) q[3], q[10];\ncrx(0.0069) q[3], q[9];\ncrx(0.0083) q[3], q[8];\ncrx(0.0006) q[3], q[7];\ncrx(0.0102) q[3], q[6];\ncrx(0.0074) q[3], q[5];\ncrx(0.2869) q[3], q[4];\ncrx(0.2757) q[3], q[2];\ncrx(0.01) q[3], q[1];\ncrx(0.0004) q[3], q[0];\ncrx(0.003) q[2], q[10];\ncrx(0.0069) q[2], q[9];\ncrx(0.0083) q[2], q[8];\ncrx(0.0006) q[2], q[7];\ncrx(0.0102) q[2], q[6];\ncrx(0.0074) q[2], q[5];\ncrx(0.2869) q[2], q[4];\ncrx(0.1901) q[2], q[3];\ncrx(0.01) q[2], q[1];\ncrx(0.0004) q[2], q[0];\ncrx(0.003) q[1], q[10];\ncrx(0.0069) q[1], q[9];\ncrx(0.0083) q[1], q[8];\ncrx(0.0006) q[1], q[7];\ncrx(0.0102) q[1], q[6];\ncrx(0.0074) q[1], q[5];\ncrx(0.2869) q[1], q[4];\ncrx(0.1901) q[1], q[3];\ncrx(0.2757) q[1], q[2];\ncrx(0.0004) q[1], q[0];\ncrx(0.003) q[0], q[10];\ncrx(0.0069) q[0], q[9];\ncrx(0.0083) q[0], q[8];\ncrx(0.0006) q[0], q[7];\ncrx(0.0102) q[0], q[6];\ncrx(0.0074) q[0], q[5];\ncrx(0.2869) q[0], q[4];\ncrx(0.1901) q[0], q[3];\ncrx(0.2757) q[0], q[2];\ncrx(0.01) q[0], q[1];\nrx(0.0103) q[0];\nrz(-0.165) q[0];\nrx(0.001) q[1];\nrz(0.2352) q[1];\nrx(0.2418) q[2];\nrz(0.0048) q[2];\nrx(0.2074) q[3];\nrz(-0.003) q[3];\nrx(0.2501) q[4];\nrz(0.0057) q[4];\nrx(-0.0028) q[5];\nrz(0.227) q[5];\nrx(0.0024) q[6];\nrz(0.2319) q[6];\nrx(-0.0078) q[7];\nrz(0.2362) q[7];\nrx(-0.0066) q[8];\nrz(0.2283) q[8];\nrx(-0.0032) q[9];\nrz(0.1609) q[9];\nrx(-0.0045) q[10];\nrz(0.1714) q[10];\nrx(0.0068) q[0];\nrz(-0.1573) q[0];\nrx(0.002) q[1];\nrz(0.2025) q[1];\nrx(0.2434) q[2];\nrz(-0.0004) q[2];\nrx(0.2058) q[3];\nrz(-0.0533) q[3];\nrx(0.2515) q[4];\nrz(-0.0033) q[4];\nrx(0.0005) q[5];\nrz(0.2187) q[5];\nrx(-0.003) q[6];\nrz(0.2335) q[6];\nrx(0.001) q[7];\nrz(0.2356) q[7];\nrx(-0.0053) q[8];\nrz(0.1913) q[8];\nrx(0.0016) q[9];\nrz(0.1302) q[9];\nrx(-0.0011) q[10];\nrz(0.1765) q[10];\ncrx(-0.0138) q[10], q[9];\ncrx(-0.0082) q[10], q[8];\ncrx(-0.0061) q[10], q[7];\ncrx(-0.0084) q[10], q[6];\ncrx(-0.0077) q[10], q[5];\ncrx(0.2867) q[10], q[4];\ncrx(0.2251) q[10], q[3];\ncrx(0.279) q[10], q[2];\ncrx(-0.0069) q[10], q[1];\ncrx(0.0028) q[10], q[0];\ncrx(-0.0071) q[9], q[10];\ncrx(-0.0082) q[9], q[8];\ncrx(-0.0061) q[9], q[7];\ncrx(-0.0084) q[9], q[6];\ncrx(-0.0077) q[9], q[5];\ncrx(0.2867) q[9], q[4];\ncrx(0.2251) q[9], q[3];\ncrx(0.279) q[9], q[2];\ncrx(-0.0069) q[9], q[1];\ncrx(0.0028) q[9], q[0];\ncrx(-0.0071) q[8], q[10];\ncrx(-0.0138) q[8], q[9];\ncrx(-0.0061) q[8], q[7];\ncrx(-0.0084) q[8], q[6];\ncrx(-0.0077) q[8], q[5];\ncrx(0.2867) q[8], q[4];\ncrx(0.2251) q[8], q[3];\ncrx(0.279) q[8], q[2];\ncrx(-0.0069) q[8], q[1];\ncrx(0.0028) q[8], q[0];\ncrx(-0.0071) q[7], q[10];\ncrx(-0.0138) q[7], q[9];\ncrx(-0.0082) q[7], q[8];\ncrx(-0.0084) q[7], q[6];\ncrx(-0.0077) q[7], q[5];\ncrx(0.2867) q[7], q[4];\ncrx(0.2251) q[7], q[3];\ncrx(0.279) q[7], q[2];\ncrx(-0.0069) q[7], q[1];\ncrx(0.0028) q[7], q[0];\ncrx(-0.0071) q[6], q[10];\ncrx(-0.0138) q[6], q[9];\ncrx(-0.0082) q[6], q[8];\ncrx(-0.0061) q[6], q[7];\ncrx(-0.0077) q[6], q[5];\ncrx(0.2867) q[6], q[4];\ncrx(0.2251) q[6], q[3];\ncrx(0.279) q[6], q[2];\ncrx(-0.0069) q[6], q[1];\ncrx(0.0028) q[6], q[0];\ncrx(-0.0071) q[5], q[10];\ncrx(-0.0138) q[5], q[9];\ncrx(-0.0082) q[5], q[8];\ncrx(-0.0061) q[5], q[7];\ncrx(-0.0084) q[5], q[6];\ncrx(0.2867) q[5], q[4];\ncrx(0.2251) q[5], q[3];\ncrx(0.279) q[5], q[2];\ncrx(-0.0069) q[5], q[1];\ncrx(0.0028) q[5], q[0];\ncrx(-0.0071) q[4], q[10];\ncrx(-0.0138) q[4], q[9];\ncrx(-0.0082) q[4], q[8];\ncrx(-0.0061) q[4], q[7];\ncrx(-0.0084) q[4], q[6];\ncrx(-0.0077) q[4], q[5];\ncrx(0.2251) q[4], q[3];\ncrx(0.279) q[4], q[2];\ncrx(-0.0069) q[4], q[1];\ncrx(0.0028) q[4], q[0];\ncrx(-0.0071) q[3], q[10];\ncrx(-0.0138) q[3], q[9];\ncrx(-0.0082) q[3], q[8];\ncrx(-0.0061) q[3], q[7];\ncrx(-0.0084) q[3], q[6];\ncrx(-0.0077) q[3], q[5];\ncrx(0.2867) q[3], q[4];\ncrx(0.279) q[3], q[2];\ncrx(-0.0069) q[3], q[1];\ncrx(0.0028) q[3], q[0];\ncrx(-0.0071) q[2], q[10];\ncrx(-0.0138) q[2], q[9];\ncrx(-0.0082) q[2], q[8];\ncrx(-0.0061) q[2], q[7];\ncrx(-0.0084) q[2], q[6];\ncrx(-0.0077) q[2], q[5];\ncrx(0.2867) q[2], q[4];\ncrx(0.2251) q[2], q[3];\ncrx(-0.0069) q[2], q[1];\ncrx(0.0028) q[2], q[0];\ncrx(-0.0071) q[1], q[10];\ncrx(-0.0138) q[1], q[9];\ncrx(-0.0082) q[1], q[8];\ncrx(-0.0061) q[1], q[7];\ncrx(-0.0084) q[1], q[6];\ncrx(-0.0077) q[1], q[5];\ncrx(0.2867) q[1], q[4];\ncrx(0.2251) q[1], q[3];\ncrx(0.279) q[1], q[2];\ncrx(0.0028) q[1], q[0];\ncrx(-0.0071) q[0], q[10];\ncrx(-0.0138) q[0], q[9];\ncrx(-0.0082) q[0], q[8];\ncrx(-0.0061) q[0], q[7];\ncrx(-0.0084) q[0], q[6];\ncrx(-0.0077) q[0], q[5];\ncrx(0.2867) q[0], q[4];\ncrx(0.2251) q[0], q[3];\ncrx(0.279) q[0], q[2];\ncrx(-0.0069) q[0], q[1];\nrx(-0.0104) q[0];\nrz(0.0082) q[0];\nrx(-0.0039) q[1];\nrz(0.0005) q[1];\nrx(0.2369) q[2];\nrz(0.0083) q[2];\nrx(0.2395) q[3];\nrz(0.0066) q[3];\nrx(0.2763) q[4];\nrz(0.001) q[4];\nrx(0.0004) q[5];\nrz(0.004) q[5];\nrx(-0.001) q[6];\nrz(0.0047) q[6];\nrx(-0.0043) q[7];\nrz(0.0026) q[7];\nrx(0.0018) q[8];\nrz(0.0065) q[8];\nrx(-0.0007) q[9];\nrz(0.0038) q[9];\nrx(-0.0024) q[10];\nrz(0.0051) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrx(x22) q[10], q[9];\ncrx(x23) q[10], q[8];\ncrx(x24) q[10], q[7];\ncrx(x25) q[10], q[6];\ncrx(x26) q[10], q[5];\ncrx(x27) q[10], q[4];\ncrx(x28) q[10], q[3];\ncrx(x29) q[10], q[2];\ncrx(x30) q[10], q[1];\ncrx(x31) q[10], q[0];\ncrx(x32) q[9], q[10];\ncrx(x23) q[9], q[8];\ncrx(x24) q[9], q[7];\ncrx(x25) q[9], q[6];\ncrx(x26) q[9], q[5];\ncrx(x27) q[9], q[4];\ncrx(x28) q[9], q[3];\ncrx(x29) q[9], q[2];\ncrx(x30) q[9], q[1];\ncrx(x31) q[9], q[0];\ncrx(x32) q[8], q[10];\ncrx(x22) q[8], q[9];\ncrx(x24) q[8], q[7];\ncrx(x25) q[8], q[6];\ncrx(x26) q[8], q[5];\ncrx(x27) q[8], q[4];\ncrx(x28) q[8], q[3];\ncrx(x29) q[8], q[2];\ncrx(x30) q[8], q[1];\ncrx(x31) q[8], q[0];\ncrx(x32) q[7], q[10];\ncrx(x22) q[7], q[9];\ncrx(x23) q[7], q[8];\ncrx(x25) q[7], q[6];\ncrx(x26) q[7], q[5];\ncrx(x27) q[7], q[4];\ncrx(x28) q[7], q[3];\ncrx(x29) q[7], q[2];\ncrx(x30) q[7], q[1];\ncrx(x31) q[7], q[0];\ncrx(x32) q[6], q[10];\ncrx(x22) q[6], q[9];\ncrx(x23) q[6], q[8];\ncrx(x24) q[6], q[7];\ncrx(x26) q[6], q[5];\ncrx(x27) q[6], q[4];\ncrx(x28) q[6], q[3];\ncrx(x29) q[6], q[2];\ncrx(x30) q[6], q[1];\ncrx(x31) q[6], q[0];\ncrx(x32) q[5], q[10];\ncrx(x22) q[5], q[9];\ncrx(x23) q[5], q[8];\ncrx(x24) q[5], q[7];\ncrx(x25) q[5], q[6];\ncrx(x27) q[5], q[4];\ncrx(x28) q[5], q[3];\ncrx(x29) q[5], q[2];\ncrx(x30) q[5], q[1];\ncrx(x31) q[5], q[0];\ncrx(x32) q[4], q[10];\ncrx(x22) q[4], q[9];\ncrx(x23) q[4], q[8];\ncrx(x24) q[4], q[7];\ncrx(x25) q[4], q[6];\ncrx(x26) q[4], q[5];\ncrx(x28) q[4], q[3];\ncrx(x29) q[4], q[2];\ncrx(x30) q[4], q[1];\ncrx(x31) q[4], q[0];\ncrx(x32) q[3], q[10];\ncrx(x22) q[3], q[9];\ncrx(x23) q[3], q[8];\ncrx(x24) q[3], q[7];\ncrx(x25) q[3], q[6];\ncrx(x26) q[3], q[5];\ncrx(x27) q[3], q[4];\ncrx(x29) q[3], q[2];\ncrx(x30) q[3], q[1];\ncrx(x31) q[3], q[0];\ncrx(x32) q[2], q[10];\ncrx(x22) q[2], q[9];\ncrx(x23) q[2], q[8];\ncrx(x24) q[2], q[7];\ncrx(x25) q[2], q[6];\ncrx(x26) q[2], q[5];\ncrx(x27) q[2], q[4];\ncrx(x28) q[2], q[3];\ncrx(x30) q[2], q[1];\ncrx(x31) q[2], q[0];\ncrx(x32) q[1], q[10];\ncrx(x22) q[1], q[9];\ncrx(x23) q[1], q[8];\ncrx(x24) q[1], q[7];\ncrx(x25) q[1], q[6];\ncrx(x26) q[1], q[5];\ncrx(x27) q[1], q[4];\ncrx(x28) q[1], q[3];\ncrx(x29) q[1], q[2];\ncrx(x31) q[1], q[0];\ncrx(x32) q[0], q[10];\ncrx(x22) q[0], q[9];\ncrx(x23) q[0], q[8];\ncrx(x24) q[0], q[7];\ncrx(x25) q[0], q[6];\ncrx(x26) q[0], q[5];\ncrx(x27) q[0], q[4];\ncrx(x28) q[0], q[3];\ncrx(x29) q[0], q[2];\ncrx(x30) q[0], q[1];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x22) q[1];\nrz(x35) q[1];\nrx(x36) q[2];\nrz(x37) q[2];\nrx(x38) q[3];\nrz(x39) q[3];\nrx(x40) q[4];\nrz(x41) q[4];\nrx(x42) q[5];\nrz(x43) q[5];\nrx(x44) q[6];\nrz(x45) q[6];\nrx(x46) q[7];\nrz(x47) q[7];\nrx(x48) q[8];\nrz(x49) q[8];\nrx(x50) q[9];\nrz(x51) q[9];\nrx(x52) q[10];\nrz(x53) q[10];\nrx(x54) q[0];\nrz(x55) q[0];\nrx(x39) q[1];\nrz(x8) q[1];\nrx(x56) q[2];\nrz(x57) q[2];\nrx(x58) q[3];\nrz(x59) q[3];\nrx(x60) q[4];\nrz(x61) q[4];\nrx(x10) q[5];\nrz(x62) q[5];\nrx(x63) q[6];\nrz(x64) q[6];\nrx(x65) q[7];\nrz(x66) q[7];\nrx(x44) q[8];\nrz(x67) q[8];\nrx(x68) q[9];\nrz(x69) q[9];\nrx(x70) q[10];\nrz(x71) q[10];\ncrx(x72) q[10], q[9];\ncrx(x73) q[10], q[8];\ncrx(x74) q[10], q[7];\ncrx(x75) q[10], q[6];\ncrx(x76) q[10], q[5];\ncrx(x77) q[10], q[4];\ncrx(x78) q[10], q[3];\ncrx(x79) q[10], q[2];\ncrx(x80) q[10], q[1];\ncrx(x81) q[10], q[0];\ncrx(x82) q[9], q[10];\ncrx(x73) q[9], q[8];\ncrx(x74) q[9], q[7];\ncrx(x75) q[9], q[6];\ncrx(x76) q[9], q[5];\ncrx(x77) q[9], q[4];\ncrx(x78) q[9], q[3];\ncrx(x79) q[9], q[2];\ncrx(x80) q[9], q[1];\ncrx(x81) q[9], q[0];\ncrx(x82) q[8], q[10];\ncrx(x72) q[8], q[9];\ncrx(x74) q[8], q[7];\ncrx(x75) q[8], q[6];\ncrx(x76) q[8], q[5];\ncrx(x77) q[8], q[4];\ncrx(x78) q[8], q[3];\ncrx(x79) q[8], q[2];\ncrx(x80) q[8], q[1];\ncrx(x81) q[8], q[0];\ncrx(x82) q[7], q[10];\ncrx(x72) q[7], q[9];\ncrx(x73) q[7], q[8];\ncrx(x75) q[7], q[6];\ncrx(x76) q[7], q[5];\ncrx(x77) q[7], q[4];\ncrx(x78) q[7], q[3];\ncrx(x79) q[7], q[2];\ncrx(x80) q[7], q[1];\ncrx(x81) q[7], q[0];\ncrx(x82) q[6], q[10];\ncrx(x72) q[6], q[9];\ncrx(x73) q[6], q[8];\ncrx(x74) q[6], q[7];\ncrx(x76) q[6], q[5];\ncrx(x77) q[6], q[4];\ncrx(x78) q[6], q[3];\ncrx(x79) q[6], q[2];\ncrx(x80) q[6], q[1];\ncrx(x81) q[6], q[0];\ncrx(x82) q[5], q[10];\ncrx(x72) q[5], q[9];\ncrx(x73) q[5], q[8];\ncrx(x74) q[5], q[7];\ncrx(x75) q[5], q[6];\ncrx(x77) q[5], q[4];\ncrx(x78) q[5], q[3];\ncrx(x79) q[5], q[2];\ncrx(x80) q[5], q[1];\ncrx(x81) q[5], q[0];\ncrx(x82) q[4], q[10];\ncrx(x72) q[4], q[9];\ncrx(x73) q[4], q[8];\ncrx(x74) q[4], q[7];\ncrx(x75) q[4], q[6];\ncrx(x76) q[4], q[5];\ncrx(x78) q[4], q[3];\ncrx(x79) q[4], q[2];\ncrx(x80) q[4], q[1];\ncrx(x81) q[4], q[0];\ncrx(x82) q[3], q[10];\ncrx(x72) q[3], q[9];\ncrx(x73) q[3], q[8];\ncrx(x74) q[3], q[7];\ncrx(x75) q[3], q[6];\ncrx(x76) q[3], q[5];\ncrx(x77) q[3], q[4];\ncrx(x79) q[3], q[2];\ncrx(x80) q[3], q[1];\ncrx(x81) q[3], q[0];\ncrx(x82) q[2], q[10];\ncrx(x72) q[2], q[9];\ncrx(x73) q[2], q[8];\ncrx(x74) q[2], q[7];\ncrx(x75) q[2], q[6];\ncrx(x76) q[2], q[5];\ncrx(x77) q[2], q[4];\ncrx(x78) q[2], q[3];\ncrx(x80) q[2], q[1];\ncrx(x81) q[2], q[0];\ncrx(x82) q[1], q[10];\ncrx(x72) q[1], q[9];\ncrx(x73) q[1], q[8];\ncrx(x74) q[1], q[7];\ncrx(x75) q[1], q[6];\ncrx(x76) q[1], q[5];\ncrx(x77) q[1], q[4];\ncrx(x78) q[1], q[3];\ncrx(x79) q[1], q[2];\ncrx(x81) q[1], q[0];\ncrx(x82) q[0], q[10];\ncrx(x72) q[0], q[9];\ncrx(x73) q[0], q[8];\ncrx(x74) q[0], q[7];\ncrx(x75) q[0], q[6];\ncrx(x76) q[0], q[5];\ncrx(x77) q[0], q[4];\ncrx(x78) q[0], q[3];\ncrx(x79) q[0], q[2];\ncrx(x80) q[0], q[1];\nrx(x24) q[0];\nrz(x83) q[0];\nrx(x84) q[1];\nrz(x85) q[1];\nrx(x86) q[2];\nrz(x87) q[2];\nrx(x88) q[3];\nrz(x89) q[3];\nrx(x90) q[4];\nrz(x91) q[4];\nrx(x92) q[5];\nrz(x93) q[5];\nrx(x94) q[6];\nrz(x95) q[6];\nrx(x96) q[7];\nrz(x97) q[7];\nrx(x98) q[8];\nrz(x99) q[8];\nrx(x70) q[9];\nrz(x100) q[9];\nrx(x14) q[10];\nrz(x101) q[10];\nrx(x102) q[0];\nrz(x103) q[0];\nrx(x104) q[1];\nrz(x105) q[1];\nrx(x106) q[2];\nrz(x107) q[2];\nrx(x108) q[3];\nrz(x109) q[3];\nrx(x110) q[4];\nrz(x111) q[4];\nrx(x112) q[5];\nrz(x113) q[5];\nrx(x89) q[6];\nrz(x8) q[6];\nrx(x84) q[7];\nrz(x114) q[7];\nrx(x115) q[8];\nrz(x116) q[8];\nrx(x117) q[9];\nrz(x118) q[9];\nrx(x22) q[10];\nrz(x119) q[10];\ncrx(x120) q[10], q[9];\ncrx(x25) q[10], q[8];\ncrx(x121) q[10], q[7];\ncrx(x122) q[10], q[6];\ncrx(x123) q[10], q[5];\ncrx(x124) q[10], q[4];\ncrx(x125) q[10], q[3];\ncrx(x126) q[10], q[2];\ncrx(x127) q[10], q[1];\ncrx(x128) q[10], q[0];\ncrx(x129) q[9], q[10];\ncrx(x25) q[9], q[8];\ncrx(x121) q[9], q[7];\ncrx(x122) q[9], q[6];\ncrx(x123) q[9], q[5];\ncrx(x124) q[9], q[4];\ncrx(x125) q[9], q[3];\ncrx(x126) q[9], q[2];\ncrx(x127) q[9], q[1];\ncrx(x128) q[9], q[0];\ncrx(x129) q[8], q[10];\ncrx(x120) q[8], q[9];\ncrx(x121) q[8], q[7];\ncrx(x122) q[8], q[6];\ncrx(x123) q[8], q[5];\ncrx(x124) q[8], q[4];\ncrx(x125) q[8], q[3];\ncrx(x126) q[8], q[2];\ncrx(x127) q[8], q[1];\ncrx(x128) q[8], q[0];\ncrx(x129) q[7], q[10];\ncrx(x120) q[7], q[9];\ncrx(x25) q[7], q[8];\ncrx(x122) q[7], q[6];\ncrx(x123) q[7], q[5];\ncrx(x124) q[7], q[4];\ncrx(x125) q[7], q[3];\ncrx(x126) q[7], q[2];\ncrx(x127) q[7], q[1];\ncrx(x128) q[7], q[0];\ncrx(x129) q[6], q[10];\ncrx(x120) q[6], q[9];\ncrx(x25) q[6], q[8];\ncrx(x121) q[6], q[7];\ncrx(x123) q[6], q[5];\ncrx(x124) q[6], q[4];\ncrx(x125) q[6], q[3];\ncrx(x126) q[6], q[2];\ncrx(x127) q[6], q[1];\ncrx(x128) q[6], q[0];\ncrx(x129) q[5], q[10];\ncrx(x120) q[5], q[9];\ncrx(x25) q[5], q[8];\ncrx(x121) q[5], q[7];\ncrx(x122) q[5], q[6];\ncrx(x124) q[5], q[4];\ncrx(x125) q[5], q[3];\ncrx(x126) q[5], q[2];\ncrx(x127) q[5], q[1];\ncrx(x128) q[5], q[0];\ncrx(x129) q[4], q[10];\ncrx(x120) q[4], q[9];\ncrx(x25) q[4], q[8];\ncrx(x121) q[4], q[7];\ncrx(x122) q[4], q[6];\ncrx(x123) q[4], q[5];\ncrx(x125) q[4], q[3];\ncrx(x126) q[4], q[2];\ncrx(x127) q[4], q[1];\ncrx(x128) q[4], q[0];\ncrx(x129) q[3], q[10];\ncrx(x120) q[3], q[9];\ncrx(x25) q[3], q[8];\ncrx(x121) q[3], q[7];\ncrx(x122) q[3], q[6];\ncrx(x123) q[3], q[5];\ncrx(x124) q[3], q[4];\ncrx(x126) q[3], q[2];\ncrx(x127) q[3], q[1];\ncrx(x128) q[3], q[0];\ncrx(x129) q[2], q[10];\ncrx(x120) q[2], q[9];\ncrx(x25) q[2], q[8];\ncrx(x121) q[2], q[7];\ncrx(x122) q[2], q[6];\ncrx(x123) q[2], q[5];\ncrx(x124) q[2], q[4];\ncrx(x125) q[2], q[3];\ncrx(x127) q[2], q[1];\ncrx(x128) q[2], q[0];\ncrx(x129) q[1], q[10];\ncrx(x120) q[1], q[9];\ncrx(x25) q[1], q[8];\ncrx(x121) q[1], q[7];\ncrx(x122) q[1], q[6];\ncrx(x123) q[1], q[5];\ncrx(x124) q[1], q[4];\ncrx(x125) q[1], q[3];\ncrx(x126) q[1], q[2];\ncrx(x128) q[1], q[0];\ncrx(x129) q[0], q[10];\ncrx(x120) q[0], q[9];\ncrx(x25) q[0], q[8];\ncrx(x121) q[0], q[7];\ncrx(x122) q[0], q[6];\ncrx(x123) q[0], q[5];\ncrx(x124) q[0], q[4];\ncrx(x125) q[0], q[3];\ncrx(x126) q[0], q[2];\ncrx(x127) q[0], q[1];\nrx(x130) q[0];\nrz(x131) q[0];\nrx(x132) q[1];\nrz(x112) q[1];\nrx(x66) q[2];\nrz(x73) q[2];\nrx(x62) q[3];\nrz(x133) q[3];\nrx(x29) q[4];\nrz(x84) q[4];\nrx(x81) q[5];\nrz(x134) q[5];\nrx(x57) q[6];\nrz(x135) q[6];\nrx(x136) q[7];\nrz(x137) q[7];\nrx(x138) q[8];\nrz(x139) q[8];\nrx(x140) q[9];\nrz(x141) q[9];\nrx(x142) q[10];\nrz(x143) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["58fa04385078dcdc0b5f9361c481400a","graph_coloring","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 2}, {\"id\": 3}, {\"id\": 1}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 2, \"target\": 1}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 1}, {\"source\": 3, \"target\": 4}, {\"source\": 1, \"target\": 4}]}","{\"states\": [23475, 14261], \"expectation_value\": -7.511492880345639, \"params\": [[-0.3488], [0.3627]], \"bitstrings\": [\"010010001001100\", \"100100001001010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.0011669105788419093, 0.00116691057884191], \"optimization_time\": 11.092780351638794}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(6)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(12) @ Z(3)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(7)) + 0.25 * (Z(13) @ Z(10)) + 0.25 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(8)) + 0.25 * (Z(14) @ Z(11)) + 0.25 * (Z(14) @ Z(5)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 1.25 * Z(1) + 1.25 * Z(0) + 1.25 * Z(2) + 1.25 * Z(6) + 1.25 * Z(7) + 1.25 * Z(8) + 1.25 * Z(9) + 1.25 * Z(10) + 1.25 * Z(11) + 1.25 * Z(3) + 1.25 * Z(4) + 1.25 * Z(5) + 1.5 * Z(12) + 1.5 * Z(13) + 1.5 * Z(14)",5,15,1,"{\"smallest_eigenvalues\": [-10.999999999999982], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -10.99999999999996, \"smallest_bitstrings\": [\"100100001001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\ncx q[1], q[0];\nrz(-0.3488) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.3488) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.3488) q[2];\ncx q[0], q[2];\ncx q[0], q[6];\nrz(-0.1744) q[6];\ncx q[0], q[6];\ncx q[1], q[7];\nrz(-0.1744) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.3488) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(-0.1744) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(-0.3488) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.3488) q[8];\ncx q[7], q[8];\ncx q[0], q[9];\nrz(-0.1744) q[9];\ncx q[0], q[9];\ncx q[1], q[10];\nrz(-0.1744) q[10];\ncx q[1], q[10];\ncx q[9], q[10];\nrz(-0.3488) q[10];\ncx q[9], q[10];\ncx q[2], q[11];\nrz(-0.1744) q[11];\ncx q[2], q[11];\ncx q[9], q[11];\nrz(-0.3488) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.3488) q[11];\ncx q[10], q[11];\ncx q[6], q[3];\nrz(-0.1744) q[3];\ncx q[6], q[3];\ncx q[9], q[3];\nrz(-0.1744) q[3];\ncx q[9], q[3];\ncx q[7], q[4];\nrz(-0.1744) q[4];\ncx q[7], q[4];\ncx q[10], q[4];\nrz(-0.1744) q[4];\ncx q[10], q[4];\ncx q[3], q[4];\nrz(-0.3488) q[4];\ncx q[3], q[4];\ncx q[8], q[5];\nrz(-0.1744) q[5];\ncx q[8], q[5];\ncx q[11], q[5];\nrz(-0.1744) q[5];\ncx q[11], q[5];\ncx q[3], q[5];\nrz(-0.3488) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.3488) q[5];\ncx q[4], q[5];\ncx q[0], q[12];\nrz(-0.1744) q[12];\ncx q[0], q[12];\ncx q[6], q[12];\nrz(-0.1744) q[12];\ncx q[6], q[12];\ncx q[9], q[12];\nrz(-0.1744) q[12];\ncx q[9], q[12];\ncx q[3], q[12];\nrz(-0.1744) q[12];\ncx q[3], q[12];\ncx q[1], q[13];\nrz(-0.1744) q[13];\ncx q[1], q[13];\ncx q[7], q[13];\nrz(-0.1744) q[13];\ncx q[7], q[13];\ncx q[10], q[13];\nrz(-0.1744) q[13];\ncx q[10], q[13];\ncx q[4], q[13];\nrz(-0.1744) q[13];\ncx q[4], q[13];\ncx q[12], q[13];\nrz(-0.3488) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(-0.1744) q[14];\ncx q[2], q[14];\ncx q[8], q[14];\nrz(-0.1744) q[14];\ncx q[8], q[14];\ncx q[11], q[14];\nrz(-0.1744) q[14];\ncx q[11], q[14];\ncx q[5], q[14];\nrz(-0.1744) q[14];\ncx q[5], q[14];\ncx q[12], q[14];\nrz(-0.3488) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(-0.3488) q[14];\ncx q[13], q[14];\nrz(-0.872) q[1];\nrz(-0.872) q[0];\nrz(-0.872) q[2];\nrz(-0.872) q[6];\nrz(-0.872) q[7];\nrz(-0.872) q[8];\nrz(-0.872) q[9];\nrz(-0.872) q[10];\nrz(-0.872) q[11];\nrz(-0.872) q[3];\nrz(-0.872) q[4];\nrz(-0.872) q[5];\nrz(-1.0464) q[12];\nrz(-1.0464) q[13];\nrz(-1.0464) q[14];\nh q[0];\nrz(0.7254) q[0];\nh q[0];\nh q[1];\nrz(0.7254) q[1];\nh q[1];\nh q[2];\nrz(0.7254) q[2];\nh q[2];\nh q[3];\nrz(0.7254) q[3];\nh q[3];\nh q[4];\nrz(0.7254) q[4];\nh q[4];\nh q[5];\nrz(0.7254) q[5];\nh q[5];\nh q[6];\nrz(0.7254) q[6];\nh q[6];\nh q[7];\nrz(0.7254) q[7];\nh q[7];\nh q[8];\nrz(0.7254) q[8];\nh q[8];\nh q[9];\nrz(0.7254) q[9];\nh q[9];\nh q[10];\nrz(0.7254) q[10];\nh q[10];\nh q[11];\nrz(0.7254) q[11];\nh q[11];\nh q[12];\nrz(0.7254) q[12];\nh q[12];\nh q[13];\nrz(0.7254) q[13];\nh q[13];\nh q[14];\nrz(0.7254) q[14];\nh q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[15] c;\nqubit[15] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(x1) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\ncx q[0], q[9];\nrz(x1) q[9];\ncx q[0], q[9];\ncx q[1], q[10];\nrz(x1) q[10];\ncx q[1], q[10];\ncx q[9], q[10];\nrz(x0) q[10];\ncx q[9], q[10];\ncx q[2], q[11];\nrz(x1) q[11];\ncx q[2], q[11];\ncx q[9], q[11];\nrz(x0) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[9], q[3];\nrz(x1) q[3];\ncx q[9], q[3];\ncx q[7], q[4];\nrz(x1) q[4];\ncx q[7], q[4];\ncx q[10], q[4];\nrz(x1) q[4];\ncx q[10], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[8], q[5];\nrz(x1) q[5];\ncx q[8], q[5];\ncx q[11], q[5];\nrz(x1) q[5];\ncx q[11], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[12];\nrz(x1) q[12];\ncx q[0], q[12];\ncx q[6], q[12];\nrz(x1) q[12];\ncx q[6], q[12];\ncx q[9], q[12];\nrz(x1) q[12];\ncx q[9], q[12];\ncx q[3], q[12];\nrz(x1) q[12];\ncx q[3], q[12];\ncx q[1], q[13];\nrz(x1) q[13];\ncx q[1], q[13];\ncx q[7], q[13];\nrz(x1) q[13];\ncx q[7], q[13];\ncx q[10], q[13];\nrz(x1) q[13];\ncx q[10], q[13];\ncx q[4], q[13];\nrz(x1) q[13];\ncx q[4], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(x1) q[14];\ncx q[2], q[14];\ncx q[8], q[14];\nrz(x1) q[14];\ncx q[8], q[14];\ncx q[11], q[14];\nrz(x1) q[14];\ncx q[11], q[14];\ncx q[5], q[14];\nrz(x1) q[14];\ncx q[5], q[14];\ncx q[12], q[14];\nrz(x0) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x0) q[14];\ncx q[13], q[14];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x2) q[8];\nrz(x2) q[9];\nrz(x2) q[10];\nrz(x2) q[11];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x3) q[12];\nrz(x3) q[13];\nrz(x3) q[14];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nh q[8];\nrz(x4) q[8];\nh q[8];\nh q[9];\nrz(x4) q[9];\nh q[9];\nh q[10];\nrz(x4) q[10];\nh q[10];\nh q[11];\nrz(x4) q[11];\nh q[11];\nh q[12];\nrz(x4) q[12];\nh q[12];\nh q[13];\nrz(x4) q[13];\nh q[13];\nh q[14];\nrz(x4) q[14];\nh q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","{\"number_of_colors\": 3}","{\"circuits\": [], \"gradients\": []}"]
["2133bfe2f16c389d56b638843cb4baa9","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [3819, 3307], \"expectation_value\": -1.37385540247881, \"params\": [1.097, 0.303, 0.9997, 0.34240000000000004, 0.7513000000000001, 0.30410000000000004, 0.36410000000000003, 0.3552, 1.1081, 0.0315, 1.1032, -0.0048000000000000004, 1.0996000000000001, 0.2106, 0.4434, 0.7586, 1.0909, 0.41300000000000003, 0.3552, -0.36150000000000004, 1.0994000000000002, -0.0584, 1.1082, 0.00030000000000000003, 1.0895000000000001, 0.0043, 0.9529000000000001, 0.0054, 0.7435, 0.0028, 0.3584, 0.0039000000000000003, 1.1099, 0.0019, 1.1085, 0.0054, 1.1012, 0.0088, 0.40940000000000004, 0.007200000000000001, 1.0889, 0.009000000000000001, 0.3652, 0.007, 1.0996000000000001, 0.0076, 1.105, 0.0024000000000000002, -0.0142, 0.3534, 0.3553, -0.2511, 0.33490000000000003, 0.0229, 0.0012000000000000001, 0.47850000000000004, 0.8031, -0.32370000000000004, -0.36910000000000004, -0.0324, 0.0016, 0.0063, 0.004, 0.0006000000000000001, 0.004200000000000001, 0.0026000000000000003, 0.0085, 0.00030000000000000003, 0.009600000000000001, 0.0036000000000000003, 0.0036000000000000003, 0.0002], \"bitstrings\": [\"000100010100\", \"001100010100\"], \"total_optimization_steps\": 110, \"probabilities\": [0.0323559643082683, 0.047670767579719], \"optimization_time\": 126.8883867263794}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(6) @ Z(3) @ Z(5)) + -0.125 * (Z(6) @ Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(3) @ Z(9)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(9)) + 0.125 * (Z(10) @ Z(0)) + 0.125 * (Z(9) @ Z(4)) + 0.125 * (Z(10) @ Z(4)) + 0.125 * (Z(10) @ Z(9)) + -0.125 * (Z(0) @ Z(9) @ Z(4)) + -0.125 * (Z(10) @ Z(0) @ Z(4)) + -0.125 * (Z(10) @ Z(0) @ Z(9)) + -0.125 * (Z(10) @ Z(9) @ Z(4)) + 0.125 * (Z(10) @ Z(0) @ Z(9) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(11) @ Z(1)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(11) @ Z(5)) + 0.125 * (Z(7) @ Z(11)) + -0.125 * (Z(7) @ Z(1) @ Z(5)) + -0.125 * (Z(11) @ Z(1) @ Z(5)) + -0.125 * (Z(7) @ Z(11) @ Z(1)) + -0.125 * (Z(7) @ Z(11) @ Z(5)) + 0.125 * (Z(7) @ Z(11) @ Z(1) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(8) @ Z(2)) + 0.0625 * (Z(10) @ Z(2)) + 0.0625 * (Z(11) @ Z(2)) + 0.0625 * (Z(6) @ Z(8)) + 0.0625 * (Z(6) @ Z(10)) + 0.0625 * (Z(6) @ Z(11)) + 0.0625 * (Z(10) @ Z(8)) + 0.0625 * (Z(8) @ Z(11)) + 0.0625 * (Z(10) @ Z(11)) + -0.0625 * (Z(6) @ Z(8) @ Z(2)) + -0.0625 * (Z(6) @ Z(10) @ Z(2)) + -0.0625 * (Z(6) @ Z(11) @ Z(2)) + -0.0625 * (Z(10) @ Z(8) @ Z(2)) + -0.0625 * (Z(8) @ Z(11) @ Z(2)) + -0.0625 * (Z(10) @ Z(11) @ Z(2)) + -0.0625 * (Z(6) @ Z(10) @ Z(8)) + -0.0625 * (Z(6) @ Z(8) @ Z(11)) + -0.0625 * (Z(6) @ Z(10) @ Z(11)) + -0.0625 * (Z(10) @ Z(8) @ Z(11)) + 0.0625 * (Z(6) @ Z(10) @ Z(8) @ Z(2)) + 0.0625 * (Z(6) @ Z(8) @ Z(11) @ Z(2)) + 0.0625 * (Z(6) @ Z(10) @ Z(11) @ Z(2)) + 0.0625 * (Z(10) @ Z(8) @ Z(11) @ Z(2)) + 0.0625 * (Z(6) @ Z(10) @ Z(8) @ Z(11)) + -0.0625 * (Z(10) @ Z(2) @ Z(8) @ Z(11) @ Z(6)) + 0.125 * Z(0) + 0.125 * Z(1) + 0.1875 * Z(2) + -0.125 * Z(3) + 0.25 * Z(4) + 0.25 * Z(5) + 0.3125 * Z(6) + -0.125 * Z(7) + -0.0625 * Z(8) + -0.125 * Z(9) + 0.3125 * Z(10) + 0.3125 * Z(11)",18,12,2,"{\"smallest_eigenvalues\": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], \"number_of_smallest_eigenvalues\": 25, \"first_excited_energy\": -2.6875, \"smallest_bitstrings\": [\"010100001010\", \"001001010100\", \"100000110100\", \"010000110100\", \"100101001000\", \"001100010010\", \"010100010010\", \"001100010100\", \"100100010010\", \"010100001100\", \"001001001100\", \"100001001100\", \"010000101100\", \"010010001100\", \"100100110000\", \"010110001000\", \"001110010000\", \"001000110100\", \"110100001000\", \"100100001001\", \"010001001100\", \"101100010000\", \"001010010100\", \"100100010001\", \"100100011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(1.097) q[0];\nrz(0.303) q[0];\nrx(0.9997) q[1];\nrz(0.3424) q[1];\nrx(0.7513) q[2];\nrz(0.3041) q[2];\nrx(0.3641) q[3];\nrz(0.3552) q[3];\nrx(1.1081) q[4];\nrz(0.0315) q[4];\nrx(1.1032) q[5];\nrz(-0.0048) q[5];\nrx(1.0996) q[6];\nrz(0.2106) q[6];\nrx(0.4434) q[7];\nrz(0.7586) q[7];\nrx(1.0909) q[8];\nrz(0.413) q[8];\nrx(0.3552) q[9];\nrz(-0.3615) q[9];\nrx(1.0994) q[10];\nrz(-0.0584) q[10];\nrx(1.1082) q[11];\nrz(0.0003) q[11];\ncrz(-0.0142) q[11], q[0];\ncrz(-0.0324) q[10], q[11];\ncrz(-0.3691) q[9], q[10];\ncrz(-0.3237) q[8], q[9];\ncrz(0.8031) q[7], q[8];\ncrz(0.4785) q[6], q[7];\ncrz(0.0012) q[5], q[6];\ncrz(0.0229) q[4], q[5];\ncrz(0.3349) q[3], q[4];\ncrz(-0.2511) q[2], q[3];\ncrz(0.3553) q[1], q[2];\ncrz(0.3534) q[0], q[1];\nrx(1.0895) q[0];\nrz(0.0043) q[0];\nrx(0.9529) q[1];\nrz(0.0054) q[1];\nrx(0.7435) q[2];\nrz(0.0028) q[2];\nrx(0.3584) q[3];\nrz(0.0039) q[3];\nrx(1.1099) q[4];\nrz(0.0019) q[4];\nrx(1.1085) q[5];\nrz(0.0054) q[5];\nrx(1.1012) q[6];\nrz(0.0088) q[6];\nrx(0.4094) q[7];\nrz(0.0072) q[7];\nrx(1.0889) q[8];\nrz(0.009) q[8];\nrx(0.3652) q[9];\nrz(0.007) q[9];\nrx(1.0996) q[10];\nrz(0.0076) q[10];\nrx(1.105) q[11];\nrz(0.0024) q[11];\ncrz(0.0016) q[11], q[0];\ncrz(0.0002) q[10], q[11];\ncrz(0.0036) q[9], q[10];\ncrz(0.0036) q[8], q[9];\ncrz(0.0096) q[7], q[8];\ncrz(0.0003) q[6], q[7];\ncrz(0.0085) q[5], q[6];\ncrz(0.0026) q[4], q[5];\ncrz(0.0042) q[3], q[4];\ncrz(0.0006) q[2], q[3];\ncrz(0.004) q[1], q[2];\ncrz(0.0063) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x7) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\nrx(x21) q[11];\nrz(x22) q[11];\ncrz(x23) q[11], q[0];\ncrz(x24) q[10], q[11];\ncrz(x25) q[9], q[10];\ncrz(x26) q[8], q[9];\ncrz(x27) q[7], q[8];\ncrz(x28) q[6], q[7];\ncrz(x29) q[5], q[6];\ncrz(x30) q[4], q[5];\ncrz(x31) q[3], q[4];\ncrz(x32) q[2], q[3];\ncrz(x33) q[1], q[2];\ncrz(x34) q[0], q[1];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x41) q[3];\nrz(x42) q[3];\nrx(x43) q[4];\nrz(x44) q[4];\nrx(x45) q[5];\nrz(x38) q[5];\nrx(x46) q[6];\nrz(x47) q[6];\nrx(x48) q[7];\nrz(x49) q[7];\nrx(x50) q[8];\nrz(x51) q[8];\nrx(x52) q[9];\nrz(x53) q[9];\nrx(x12) q[10];\nrz(x54) q[10];\nrx(x55) q[11];\nrz(x56) q[11];\ncrz(x57) q[11], q[0];\ncrz(x58) q[10], q[11];\ncrz(x59) q[9], q[10];\ncrz(x59) q[8], q[9];\ncrz(x60) q[7], q[8];\ncrz(x22) q[6], q[7];\ncrz(x61) q[5], q[6];\ncrz(x62) q[4], q[5];\ncrz(x63) q[3], q[4];\ncrz(x64) q[2], q[3];\ncrz(x65) q[1], q[2];\ncrz(x66) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["-6610853813895580081","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"hyperedges\": [[2, 3, 5, 8, 10], [1, 4, 6, 9, 10, 12], [2, 4, 6, 11, 12], [0, 2, 6, 8, 11], [0, 5, 6, 7, 9, 10], [9, 10, 11, 7], [8, 3, 12, 5], [0, 10, 11], [0, 3, 6], [8, 4], [8, 0, 3, 12], [1, 2, 4, 6, 10, 12], [1, 3, 5, 7, 8], [9, 3, 12], [0, 4, 7], [1, 2, 3, 4, 10, 12], [1, 12, 5], [1, 4, 5], [0, 3, 7], [10, 11, 5], [9, 2, 10], [8, 3, 12, 6], [0, 1, 2, 3, 8], [8, 9, 10, 11, 12], [9, 11, 12, 4], [9, 2, 4, 5], [0, 1, 11, 7], [11, 3], [0, 3, 4], [0, 2, 12, 5], [9, 2, 5, 6], [1, 4, 6, 7, 9, 10], [8, 9, 11, 5], [2, 7], [0, 7, 9, 10, 12], [10, 3, 7], [1, 2, 8, 9, 12], [9, 3, 4, 6], [0, 2, 6, 8, 10]]}","{\"states\": [6397, 6395], \"expectation_value\": -8.041882497461891, \"params\": [1.7359, 1.4107, 0.6614, 2.4759, -1.0913000000000002, 1.0856000000000001, -0.0429, 0.0378, -0.024900000000000002, 0.0296, 1.5579, 1.5789, 2.3838, 0.7524000000000001, 1.6019, 1.5353, 1.5733000000000001, 1.5729, 1.5709000000000002, 1.5659, 0.34440000000000004, 1.0686, 1.808, 1.1664, 1.5731000000000002, 1.5732000000000002, 0.0025, 0.9245000000000001, 0.0025, -0.0025, 0.0022, 0.0026000000000000003, -0.004, -0.0027, 0.0061, -0.1092, 0.0033, -0.0198, 0.0038, -0.0034000000000000002, 0.0006000000000000001, 0.0051, 0.38870000000000005, 0.1978, -0.0018000000000000002, 0.003, -0.019200000000000002, 0.0006000000000000001, 0.2696, 1.1547, 1.857, 3.0653], \"bitstrings\": [\"0011100000010\", \"0011100000100\"], \"total_optimization_steps\": 460, \"probabilities\": [0.4755483622977588, 0.5243251307098173], \"optimization_time\": 43.54401612281799}","0.13333333333333336 * (Z(2) @ Z(3)) + 0.18333333333333335 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(2)) + 0.39999999999999997 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(2)) + 0.26666666666666666 * (Z(8) @ Z(5)) + 0.25 * (Z(10) @ Z(3)) + 0.3333333333333333 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(5)) + 0.15000000000000002 * (Z(10) @ Z(8)) + 0.13333333333333336 * (Z(1) @ Z(3)) + 0.16666666666666669 * (Z(1) @ Z(2)) + 0.3833333333333333 * (Z(1) @ Z(5)) + 0.15000000000000002 * (Z(1) @ Z(8)) + 0.13333333333333333 * (Z(1) @ Z(10)) + 0.2833333333333333 * (Z(4) @ Z(3)) + 0.2 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.13333333333333333 * (Z(4) @ Z(10)) + 0.3 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(6) @ Z(2)) + 0.11666666666666667 * (Z(6) @ Z(5)) + 0.18333333333333335 * (Z(6) @ Z(8)) + 0.18333333333333335 * (Z(6) @ Z(10)) + 0.1 * (Z(6) @ Z(1)) + 0.23333333333333334 * (Z(6) @ Z(4)) + 0.25 * (Z(9) @ Z(3)) + 0.3833333333333333 * (Z(9) @ Z(2)) + 0.2833333333333333 * (Z(9) @ Z(5)) + 0.18333333333333335 * (Z(9) @ Z(8)) + 0.44999999999999996 * (Z(9) @ Z(10)) + 0.11666666666666667 * (Z(9) @ Z(1)) + 0.31666666666666665 * (Z(9) @ Z(4)) + 0.26666666666666666 * (Z(9) @ Z(6)) + 0.44999999999999996 * (Z(12) @ Z(3)) + 0.25 * (Z(12) @ Z(2)) + 0.3333333333333333 * (Z(12) @ Z(5)) + 0.35 * (Z(12) @ Z(8)) + 0.2 * (Z(12) @ Z(10)) + 0.31666666666666665 * (Z(12) @ Z(1)) + 0.23333333333333334 * (Z(12) @ Z(4)) + 0.2 * (Z(12) @ Z(6)) + 0.4333333333333333 * (Z(12) @ Z(9)) + 0.5 * (Z(11) @ Z(3)) + 0.1 * (Z(11) @ Z(2)) + 0.25 * (Z(11) @ Z(5)) + 0.18333333333333335 * (Z(11) @ Z(8)) + 0.4666666666666666 * (Z(11) @ Z(10)) + 0.08333333333333333 * (Z(11) @ Z(1)) + 0.13333333333333333 * (Z(11) @ Z(4)) + 0.1 * (Z(11) @ Z(6)) + 0.3 * (Z(11) @ Z(9)) + 0.18333333333333335 * (Z(11) @ Z(12)) + 0.6333333333333333 * (Z(0) @ Z(3)) + 0.23333333333333334 * (Z(0) @ Z(2)) + 0.11666666666666667 * (Z(0) @ Z(5)) + 0.23333333333333334 * (Z(0) @ Z(8)) + 0.3 * (Z(0) @ Z(10)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.3 * (Z(0) @ Z(6)) + 0.08333333333333334 * (Z(0) @ Z(9)) + 0.21666666666666667 * (Z(0) @ Z(12)) + 0.3 * (Z(0) @ Z(11)) + 0.3833333333333333 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.08333333333333334 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(8)) + 0.3666666666666667 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.19999999999999998 * (Z(7) @ Z(4)) + 0.06666666666666667 * (Z(7) @ Z(6)) + 0.2 * (Z(7) @ Z(9)) + 0.05 * (Z(7) @ Z(12)) + 0.16666666666666666 * (Z(7) @ Z(11)) + 0.49999999999999994 * (Z(7) @ Z(0)) + 1.7166666666666663 * Z(3) + 1.3083333333333331 * Z(2) + 1.4083333333333337 * Z(5) + 1.199999999999999 * Z(8) + 1.6083333333333332 * Z(10) + 1.0916666666666666 * Z(1) + 1.3083333333333338 * Z(4) + 1.1750000000000003 * Z(6) + 1.6333333333333333 * Z(9) + 1.6083333333333332 * Z(12) + 1.1333333333333329 * Z(11) + 1.6916666666666664 * Z(0) + 1.116666666666666 * Z(7)",14,13,1,"{\"smallest_eigenvalues\": [-8.049999999999997], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.033333333333333, \"smallest_bitstrings\": [\"0011100000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(1.7359) q[0];\nry(0.6614) q[1];\nry(-1.0913) q[2];\nry(-0.0429) q[3];\nry(-0.0249) q[4];\nry(1.5579) q[5];\nry(2.3838) q[6];\nry(1.6019) q[7];\nry(1.5733) q[8];\nry(1.5709) q[9];\nry(0.3444) q[10];\nry(1.808) q[11];\nry(1.5731) q[12];\ncrx(0.0025) q[12], q[0];\ncrx(1.857) q[11], q[12];\ncrx(0.2696) q[10], q[11];\ncrx(-0.0192) q[9], q[10];\ncrx(-0.0018) q[8], q[9];\ncrx(0.3887) q[7], q[8];\ncrx(0.0006) q[6], q[7];\ncrx(0.0038) q[5], q[6];\ncrx(0.0033) q[4], q[5];\ncrx(0.0061) q[3], q[4];\ncrx(-0.004) q[2], q[3];\ncrx(0.0022) q[1], q[2];\ncrx(0.0025) q[0], q[1];\nry(1.4107) q[0];\nry(2.4759) q[1];\nry(1.0856) q[2];\nry(0.0378) q[3];\nry(0.0296) q[4];\nry(1.5789) q[5];\nry(0.7524) q[6];\nry(1.5353) q[7];\nry(1.5729) q[8];\nry(1.5659) q[9];\nry(1.0686) q[10];\nry(1.1664) q[11];\nry(1.5732) q[12];\ncrx(0.9245) q[12], q[11];\ncrx(-0.0025) q[0], q[12];\ncrx(0.0026) q[0], q[1];\ncrx(-0.0027) q[1], q[2];\ncrx(-0.1092) q[2], q[3];\ncrx(-0.0198) q[3], q[4];\ncrx(-0.0034) q[4], q[5];\ncrx(0.0051) q[5], q[6];\ncrx(0.1978) q[6], q[7];\ncrx(0.003) q[7], q[8];\ncrx(0.0006) q[8], q[9];\ncrx(1.1547) q[9], q[10];\ncrx(3.0653) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\ncrx(x13) q[12], q[0];\ncrx(x14) q[11], q[12];\ncrx(x15) q[10], q[11];\ncrx(x16) q[9], q[10];\ncrx(x17) q[8], q[9];\ncrx(x18) q[7], q[8];\ncrx(x19) q[6], q[7];\ncrx(x20) q[5], q[6];\ncrx(x21) q[4], q[5];\ncrx(x22) q[3], q[4];\ncrx(x23) q[2], q[3];\ncrx(x24) q[1], q[2];\ncrx(x13) q[0], q[1];\nry(x25) q[0];\nry(x26) q[1];\nry(x27) q[2];\nry(x28) q[3];\nry(x29) q[4];\nry(x30) q[5];\nry(x31) q[6];\nry(x32) q[7];\nry(x33) q[8];\nry(x34) q[9];\nry(x35) q[10];\nry(x36) q[11];\nry(x37) q[12];\ncrx(x38) q[12], q[11];\ncrx(x39) q[0], q[12];\ncrx(x40) q[0], q[1];\ncrx(x41) q[1], q[2];\ncrx(x42) q[2], q[3];\ncrx(x43) q[3], q[4];\ncrx(x44) q[4], q[5];\ncrx(x45) q[5], q[6];\ncrx(x46) q[6], q[7];\ncrx(x47) q[7], q[8];\ncrx(x19) q[8], q[9];\ncrx(x48) q[9], q[10];\ncrx(x49) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"circuits\": [], \"gradients\": []}"]
["22a94de1002e0d6d41a3223e7d8b4569","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 7}, {\"weight\": 20, \"source\": 0, \"target\": 4}, {\"weight\": 11, \"source\": 1, \"target\": 6}, {\"weight\": 7, \"source\": 2, \"target\": 3}, {\"weight\": 8, \"source\": 4, \"target\": 5}, {\"weight\": 17, \"source\": 4, \"target\": 6}, {\"weight\": 19, \"source\": 5, \"target\": 7}, {\"weight\": 3, \"source\": 6, \"target\": 7}]}","{\"states\": [391, 230], \"expectation_value\": -29.279694131280667, \"params\": [[0.0154, -0.039900000000000005, -0.0085, 0.001], [-0.0386, 0.0494, 0.055200000000000006, 0.0656]], \"bitstrings\": [\"001111000\", \"100011001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008444127937794617, 0.010309139617417862], \"optimization_time\": 8.579145908355713}","4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 9.0 * Z(0) + 19.0 * Z(1) + 10.0 * Z(3) + 8.5 * Z(5) + 17.5 * Z(6) + 14.0 * Z(7) + 10.5 * Z(8) + -5.5 * Z(4)",1,9,4,"{\"smallest_eigenvalues\": [-81.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -72.5, \"smallest_bitstrings\": [\"100011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(0.1386) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.1386) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(0.1386) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(0.1386) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(0.1386) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(0.1386) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.1386) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.1386) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.1386) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.1386) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(0.1386) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(0.1386) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(0.1386) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.1386) q[8];\ncx q[7], q[8];\nrz(0.5082) q[2];\nrz(0.2772) q[0];\nrz(0.5852) q[1];\nrz(0.308) q[3];\nrz(0.2618) q[5];\nrz(0.539) q[6];\nrz(0.4312) q[7];\nrz(0.3234) q[8];\nrz(-0.1694) q[4];\nh q[0];\nrz(-0.0772) q[0];\nh q[0];\nh q[1];\nrz(-0.0772) q[1];\nh q[1];\nh q[2];\nrz(-0.0772) q[2];\nh q[2];\nh q[3];\nrz(-0.0772) q[3];\nh q[3];\nh q[4];\nrz(-0.0772) q[4];\nh q[4];\nh q[5];\nrz(-0.0772) q[5];\nh q[5];\nh q[6];\nrz(-0.0772) q[6];\nh q[6];\nh q[7];\nrz(-0.0772) q[7];\nh q[7];\nh q[8];\nrz(-0.0772) q[8];\nh q[8];\ncx q[2], q[0];\nrz(-0.3591) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.3591) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.3591) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(-0.3591) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(-0.3591) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(-0.3591) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(-0.3591) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.3591) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.3591) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.3591) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(-0.3591) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(-0.3591) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(-0.3591) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.3591) q[8];\ncx q[7], q[8];\nrz(-1.3167) q[2];\nrz(-0.7182) q[0];\nrz(-1.5162) q[1];\nrz(-0.798) q[3];\nrz(-0.6783) q[5];\nrz(-1.3965) q[6];\nrz(-1.1172) q[7];\nrz(-0.8379) q[8];\nrz(0.4389) q[4];\nh q[0];\nrz(0.0988) q[0];\nh q[0];\nh q[1];\nrz(0.0988) q[1];\nh q[1];\nh q[2];\nrz(0.0988) q[2];\nh q[2];\nh q[3];\nrz(0.0988) q[3];\nh q[3];\nh q[4];\nrz(0.0988) q[4];\nh q[4];\nh q[5];\nrz(0.0988) q[5];\nh q[5];\nh q[6];\nrz(0.0988) q[6];\nh q[6];\nh q[7];\nrz(0.0988) q[7];\nh q[7];\nh q[8];\nrz(0.0988) q[8];\nh q[8];\ncx q[2], q[0];\nrz(-0.0765) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0765) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.0765) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(-0.0765) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(-0.0765) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(-0.0765) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(-0.0765) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.0765) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.0765) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.0765) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(-0.0765) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(-0.0765) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(-0.0765) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.0765) q[8];\ncx q[7], q[8];\nrz(-0.2805) q[2];\nrz(-0.153) q[0];\nrz(-0.323) q[1];\nrz(-0.17) q[3];\nrz(-0.1445) q[5];\nrz(-0.2975) q[6];\nrz(-0.238) q[7];\nrz(-0.1785) q[8];\nrz(0.0935) q[4];\nh q[0];\nrz(0.1104) q[0];\nh q[0];\nh q[1];\nrz(0.1104) q[1];\nh q[1];\nh q[2];\nrz(0.1104) q[2];\nh q[2];\nh q[3];\nrz(0.1104) q[3];\nh q[3];\nh q[4];\nrz(0.1104) q[4];\nh q[4];\nh q[5];\nrz(0.1104) q[5];\nh q[5];\nh q[6];\nrz(0.1104) q[6];\nh q[6];\nh q[7];\nrz(0.1104) q[7];\nh q[7];\nh q[8];\nrz(0.1104) q[8];\nh q[8];\ncx q[2], q[0];\nrz(0.009) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.009) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(0.009) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(0.009) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(0.009) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(0.009) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.009) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.009) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.009) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.009) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(0.009) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(0.009) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(0.009) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.009) q[8];\ncx q[7], q[8];\nrz(0.033) q[2];\nrz(0.018) q[0];\nrz(0.038) q[1];\nrz(0.02) q[3];\nrz(0.017) q[5];\nrz(0.035) q[6];\nrz(0.028) q[7];\nrz(0.021) q[8];\nrz(-0.011) q[4];\nh q[0];\nrz(0.1312) q[0];\nh q[0];\nh q[1];\nrz(0.1312) q[1];\nh q[1];\nh q[2];\nrz(0.1312) q[2];\nh q[2];\nh q[3];\nrz(0.1312) q[3];\nh q[3];\nh q[4];\nrz(0.1312) q[4];\nh q[4];\nh q[5];\nrz(0.1312) q[5];\nh q[5];\nh q[6];\nrz(0.1312) q[6];\nh q[6];\nh q[7];\nrz(0.1312) q[7];\nh q[7];\nh q[8];\nrz(0.1312) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x4) q[3];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x7) q[7];\nrz(x8) q[8];\nrz(x9) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x11) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x11) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x11) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(x11) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x11) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x11) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x11) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(x11) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(x11) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x11) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x11) q[8];\ncx q[7], q[8];\nrz(x12) q[2];\nrz(x13) q[0];\nrz(x14) q[1];\nrz(x15) q[3];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nrz(x19) q[8];\nrz(x20) q[4];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x22) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x22) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x22) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(x22) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(x22) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(x22) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x22) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x22) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x22) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x22) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(x22) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(x22) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x22) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x22) q[8];\ncx q[7], q[8];\nrz(x23) q[2];\nrz(x24) q[0];\nrz(x25) q[1];\nrz(x26) q[3];\nrz(x27) q[5];\nrz(x28) q[6];\nrz(x29) q[7];\nrz(x30) q[8];\nrz(x31) q[4];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nh q[8];\nrz(x32) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x33) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x33) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x33) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(x33) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(x33) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(x33) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x33) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x33) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x33) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x33) q[7];\ncx q[5], q[7];\ncx q[2], q[8];\nrz(x33) q[8];\ncx q[2], q[8];\ncx q[3], q[8];\nrz(x33) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x33) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x33) q[8];\ncx q[7], q[8];\nrz(x34) q[2];\nrz(x35) q[0];\nrz(x36) q[1];\nrz(x37) q[3];\nrz(x38) q[5];\nrz(x39) q[6];\nrz(x40) q[7];\nrz(x41) q[8];\nrz(x42) q[4];\nh q[0];\nrz(x43) q[0];\nh q[0];\nh q[1];\nrz(x43) q[1];\nh q[1];\nh q[2];\nrz(x43) q[2];\nh q[2];\nh q[3];\nrz(x43) q[3];\nh q[3];\nh q[4];\nrz(x43) q[4];\nh q[4];\nh q[5];\nrz(x43) q[5];\nh q[5];\nh q[6];\nrz(x43) q[6];\nh q[6];\nh q[7];\nrz(x43) q[7];\nh q[7];\nh q[8];\nrz(x43) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["-2458627907467398318","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[4, 5], [0, 4], [2, 5], [1, 3]]}","{\"states\": [57, 49], \"expectation_value\": -0.03254883932354942, \"params\": [[[1.7025000000000001, 0.004200000000000001], [1.7322000000000002, 0.0002], [1.4836, 0.0066], [1.393, 0.006200000000000001], [1.454, 0.0014], [1.6759000000000002, 0.0057]]], \"bitstrings\": [\"000110\", \"001110\"], \"total_optimization_steps\": 180, \"probabilities\": [0.02719598141028726, 0.03238410522154259], \"optimization_time\": 2.460378646850586}","0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1)",1,6,1,"{\"smallest_eigenvalues\": [-2.0, -2.0, -2.0, -2.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"110001\", \"100101\", \"001110\", \"011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(1.7025) q[0];\nrz(0.0042) q[0];\nrx(1.7322) q[1];\nrz(0.0002) q[1];\nrx(1.4836) q[2];\nrz(0.0066) q[2];\nrx(1.393) q[3];\nrz(0.0062) q[3];\nrx(1.454) q[4];\nrz(0.0014) q[4];\nrx(1.6759) q[5];\nrz(0.0057) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["ae9c84de96340fafef2df50aa0a81910","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [938, 942], \"expectation_value\": -2.4166065550158247, \"params\": [[[0.4345, -0.030100000000000002, 0.0043, 0.005200000000000001], [0.4923, 0.0026000000000000003, 0.47540000000000004, 0.0098], [-0.38620000000000004, 0.0077, 0.0064, 0.0118], [0.5387000000000001, -0.025900000000000003, 0.6204000000000001, 0.0029000000000000002], [-0.0036000000000000003, 0.4207, 0.006500000000000001, 0.4207], [0.2853, 0.0017000000000000001, 0.2872, 0.0015], [-0.0013000000000000002, 0.0523, 0.0007, 0.05], [0.5858, 0.0734, 0.5012, 0.0012000000000000001], [-0.21350000000000002, -0.005, 0.0015, -0.0035], [0.6398, 0.0047, 0.643, 0.0082], [-0.0005, 0.2457, 0.0099, 0.0048000000000000004]], [[0.44480000000000003, 0.0356, 0.0017000000000000001, 0.0058000000000000005], [0.4035, -0.0076, 0.195, 0.0022], [0.4288, -0.0137, 0.0004, -0.0145], [0.6241, 0.033600000000000005, 0.1701, 0.0054], [-0.0022, -0.275, 0.0051, -0.2701], [0.29400000000000004, -0.004200000000000001, 0.2959, 0.0039000000000000003], [-0.0268, -0.1675, 0.0038, -0.16390000000000002], [0.2983, -0.057300000000000004, 0.4181, 0.0033], [0.42010000000000003, 0.0068000000000000005, 0.004200000000000001, 0.0006000000000000001], [0.6412, -0.0033, 0.1345, 0.006200000000000001], [0.0008, 0.3289, 0.0095, 0.007500000000000001]], [[0.14450000000000002, 0.0302, 0.0051, 0.0009000000000000001], [-0.1715, 0.011000000000000001, 0.4006, 0.0097], [0.6198, 0.0095, 0.0015, 0.0054], [0.1647, -0.0497, 0.1434, 0.006], [-0.0024000000000000002, -0.2212, 0.0073, -0.21780000000000002], [0.3088, -0.0015, 0.3065, 0.01], [0.1257, -0.22410000000000002, 0.0011, -0.22340000000000002], [0.1558, 0.0206, 0.1333, 0.0019], [0.6221, 0.0011, 0.0051, -0.0004], [0.12710000000000002, 0.0105, 0.1087, 0.0025], [0.023700000000000002, 0.09430000000000001, 0.0025, 0.0058000000000000005]], [[0.5791000000000001, 0.0014, 0.0015, 0.0031000000000000003], [0.5351, 0.0292, -0.21030000000000001, 0.008], [0.7954, 0.0013000000000000002, 0.004, 0.0079], [0.14980000000000002, 0.066, -0.060200000000000004, 0.0088], [-0.0015, 0.0013000000000000002, 0.0058000000000000005, 0.006], [0.1447, 0.010700000000000001, 0.14750000000000002, 0.0053], [0.36910000000000004, 0.0038, 0.002, 0.008700000000000001], [0.0582, 0.11080000000000001, 0.013000000000000001, 0.0056], [0.808, 0.0053, 0.0085, 0.005200000000000001], [0.0874, -0.035, -0.027200000000000002, 0.0045000000000000005], [0.017400000000000002, 0.0001, 0.0095, 0.0077]]], \"bitstrings\": [\"10001010101\", \"10001010001\"], \"total_optimization_steps\": 80, \"probabilities\": [0.13738931030799223, 0.2264101081239641], \"optimization_time\": 21.984469175338745}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(1) @ Z(9)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(6) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(6) @ Z(1) @ Z(8)) + -0.125 * (Z(6) @ Z(1) @ Z(9)) + -0.125 * (Z(1) @ Z(8) @ Z(9)) + -0.125 * (Z(6) @ Z(8) @ Z(9)) + 0.125 * (Z(6) @ Z(1) @ Z(8) @ Z(9)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(2) @ Z(8) @ Z(4)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(10) @ Z(3)) + 0.25 * (Z(10) @ Z(9)) + -0.25 * (Z(10) @ Z(9) @ Z(3)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(10)) + 0.25 * (Z(7) @ Z(10)) + -0.25 * (Z(5) @ Z(7) @ Z(10)) + 0.125 * Z(0) + 0.25 * Z(1) + 0.125 * Z(2) + 0.125 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 0.125 * Z(6) + 0.0 * Z(7) + 0.125 * Z(8) + 0.125 * Z(9) + 0.0 * Z(10)",12,11,4,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 27, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"11001000001\", \"00010110100\", \"00011010001\", \"00011001100\", \"00011001010\", \"00011011000\", \"10100100010\", \"10010100100\", \"01001010001\", \"01001001010\", \"01001001001\", \"00011110000\", \"10001010001\", \"10001100010\", \"10001001010\", \"10001000101\", \"10001000011\", \"10000100110\", \"10000100101\", \"00100110010\", \"00100110001\", \"00100101010\", \"00101001010\", \"01011001000\", \"00101010001\", \"00110110000\", \"00010101100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.4345) q[0];\nrz(-0.0301) q[0];\nry(0.4923) q[1];\nrz(0.0026) q[1];\nry(-0.3862) q[2];\nrz(0.0077) q[2];\nry(0.5387) q[3];\nrz(-0.0259) q[3];\nry(-0.0036) q[4];\nrz(0.4207) q[4];\nry(0.2853) q[5];\nrz(0.0017) q[5];\nry(-0.0013) q[6];\nrz(0.0523) q[6];\nry(0.5858) q[7];\nrz(0.0734) q[7];\nry(-0.2135) q[8];\nrz(-0.005) q[8];\nry(0.6398) q[9];\nrz(0.0047) q[9];\nry(-0.0005) q[10];\nrz(0.2457) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(0.4754) q[1];\nry(0.4754) q[1];\nrz(0.0118) q[2];\nrz(0.0118) q[2];\ncz q[2], q[1];\nry(0.6204) q[3];\nry(0.6204) q[3];\nrz(0.4207) q[4];\nrz(0.4207) q[4];\ncz q[4], q[3];\nry(0.2872) q[5];\nry(0.2872) q[5];\nrz(0.05) q[6];\nrz(0.05) q[6];\ncz q[6], q[5];\nry(0.5012) q[7];\nry(0.5012) q[7];\nrz(-0.0035) q[8];\nrz(-0.0035) q[8];\ncz q[8], q[7];\nry(0.643) q[9];\nry(0.643) q[9];\ncz q[10], q[9];\nry(0.4448) q[0];\nrz(0.0356) q[0];\nry(0.4035) q[1];\nrz(-0.0076) q[1];\nry(0.4288) q[2];\nrz(-0.0137) q[2];\nry(0.6241) q[3];\nrz(0.0336) q[3];\nry(-0.0022) q[4];\nrz(-0.275) q[4];\nry(0.294) q[5];\nrz(-0.0042) q[5];\nry(-0.0268) q[6];\nrz(-0.1675) q[6];\nry(0.2983) q[7];\nrz(-0.0573) q[7];\nry(0.4201) q[8];\nrz(0.0068) q[8];\nry(0.6412) q[9];\nrz(-0.0033) q[9];\nry(0.0008) q[10];\nrz(0.3289) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(0.195) q[1];\nry(0.195) q[1];\nrz(-0.0145) q[2];\nrz(-0.0145) q[2];\ncz q[2], q[1];\nry(0.1701) q[3];\nry(0.1701) q[3];\nrz(-0.2701) q[4];\nrz(-0.2701) q[4];\ncz q[4], q[3];\nry(0.2959) q[5];\nry(0.2959) q[5];\nrz(-0.1639) q[6];\nrz(-0.1639) q[6];\ncz q[6], q[5];\nry(0.4181) q[7];\nry(0.4181) q[7];\nrz(0.0006) q[8];\nrz(0.0006) q[8];\ncz q[8], q[7];\nry(0.1345) q[9];\nry(0.1345) q[9];\ncz q[10], q[9];\nry(0.1445) q[0];\nrz(0.0302) q[0];\nry(-0.1715) q[1];\nrz(0.011) q[1];\nry(0.6198) q[2];\nrz(0.0095) q[2];\nry(0.1647) q[3];\nrz(-0.0497) q[3];\nry(-0.0024) q[4];\nrz(-0.2212) q[4];\nry(0.3088) q[5];\nrz(-0.0015) q[5];\nry(0.1257) q[6];\nrz(-0.2241) q[6];\nry(0.1558) q[7];\nrz(0.0206) q[7];\nry(0.6221) q[8];\nrz(0.0011) q[8];\nry(0.1271) q[9];\nrz(0.0105) q[9];\nry(0.0237) q[10];\nrz(0.0943) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(0.4006) q[1];\nry(0.4006) q[1];\nrz(0.0054) q[2];\nrz(0.0054) q[2];\ncz q[2], q[1];\nry(0.1434) q[3];\nry(0.1434) q[3];\nrz(-0.2178) q[4];\nrz(-0.2178) q[4];\ncz q[4], q[3];\nry(0.3065) q[5];\nry(0.3065) q[5];\nrz(-0.2234) q[6];\nrz(-0.2234) q[6];\ncz q[6], q[5];\nry(0.1333) q[7];\nry(0.1333) q[7];\nrz(-0.0004) q[8];\nrz(-0.0004) q[8];\ncz q[8], q[7];\nry(0.1087) q[9];\nry(0.1087) q[9];\ncz q[10], q[9];\nry(0.5791) q[0];\nrz(0.0014) q[0];\nry(0.5351) q[1];\nrz(0.0292) q[1];\nry(0.7954) q[2];\nrz(0.0013) q[2];\nry(0.1498) q[3];\nrz(0.066) q[3];\nry(-0.0015) q[4];\nrz(0.0013) q[4];\nry(0.1447) q[5];\nrz(0.0107) q[5];\nry(0.3691) q[6];\nrz(0.0038) q[6];\nry(0.0582) q[7];\nrz(0.1108) q[7];\nry(0.808) q[8];\nrz(0.0053) q[8];\nry(0.0874) q[9];\nrz(-0.035) q[9];\nry(0.0174) q[10];\nrz(0.0001) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(-0.2103) q[1];\nry(-0.2103) q[1];\nrz(0.0079) q[2];\nrz(0.0079) q[2];\ncz q[2], q[1];\nry(-0.0602) q[3];\nry(-0.0602) q[3];\nrz(0.006) q[4];\nrz(0.006) q[4];\ncz q[4], q[3];\nry(0.1475) q[5];\nry(0.1475) q[5];\nrz(0.0087) q[6];\nrz(0.0087) q[6];\ncz q[6], q[5];\nry(0.013) q[7];\nry(0.013) q[7];\nrz(0.0052) q[8];\nrz(0.0052) q[8];\ncz q[8], q[7];\nry(-0.0272) q[9];\nry(-0.0272) q[9];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x18) q[9];\nrz(x19) q[9];\nry(x20) q[10];\nrz(x21) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x22) q[1];\nry(x22) q[1];\nrz(x23) q[2];\nrz(x23) q[2];\ncz q[2], q[1];\nry(x24) q[3];\nry(x24) q[3];\nrz(x9) q[4];\nrz(x9) q[4];\ncz q[4], q[3];\nry(x25) q[5];\nry(x25) q[5];\nrz(x26) q[6];\nrz(x26) q[6];\ncz q[6], q[5];\nry(x27) q[7];\nry(x27) q[7];\nrz(x28) q[8];\nrz(x28) q[8];\ncz q[8], q[7];\nry(x29) q[9];\nry(x29) q[9];\ncz q[10], q[9];\nry(x30) q[0];\nrz(x31) q[0];\nry(x32) q[1];\nrz(x33) q[1];\nry(x34) q[2];\nrz(x35) q[2];\nry(x36) q[3];\nrz(x37) q[3];\nry(x38) q[4];\nrz(x39) q[4];\nry(x40) q[5];\nrz(x41) q[5];\nry(x42) q[6];\nrz(x43) q[6];\nry(x44) q[7];\nrz(x45) q[7];\nry(x46) q[8];\nrz(x47) q[8];\nry(x48) q[9];\nrz(x49) q[9];\nry(x50) q[10];\nrz(x51) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x52) q[1];\nry(x52) q[1];\nrz(x53) q[2];\nrz(x53) q[2];\ncz q[2], q[1];\nry(x54) q[3];\nry(x54) q[3];\nrz(x55) q[4];\nrz(x55) q[4];\ncz q[4], q[3];\nry(x56) q[5];\nry(x56) q[5];\nrz(x57) q[6];\nrz(x57) q[6];\ncz q[6], q[5];\nry(x58) q[7];\nry(x58) q[7];\nrz(x59) q[8];\nrz(x59) q[8];\ncz q[8], q[7];\nry(x60) q[9];\nry(x60) q[9];\ncz q[10], q[9];\nry(x61) q[0];\nrz(x62) q[0];\nry(x63) q[1];\nrz(x64) q[1];\nry(x65) q[2];\nrz(x66) q[2];\nry(x67) q[3];\nrz(x68) q[3];\nry(x69) q[4];\nrz(x70) q[4];\nry(x71) q[5];\nrz(x72) q[5];\nry(x73) q[6];\nrz(x74) q[6];\nry(x75) q[7];\nrz(x76) q[7];\nry(x77) q[8];\nrz(x78) q[8];\nry(x79) q[9];\nrz(x80) q[9];\nry(x81) q[10];\nrz(x82) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x83) q[1];\nry(x83) q[1];\nrz(x84) q[2];\nrz(x84) q[2];\ncz q[2], q[1];\nry(x85) q[3];\nry(x85) q[3];\nrz(x86) q[4];\nrz(x86) q[4];\ncz q[4], q[3];\nry(x87) q[5];\nry(x87) q[5];\nrz(x88) q[6];\nrz(x88) q[6];\ncz q[6], q[5];\nry(x89) q[7];\nry(x89) q[7];\nrz(x90) q[8];\nrz(x90) q[8];\ncz q[8], q[7];\nry(x91) q[9];\nry(x91) q[9];\ncz q[10], q[9];\nry(x92) q[0];\nrz(x93) q[0];\nry(x94) q[1];\nrz(x95) q[1];\nry(x96) q[2];\nrz(x97) q[2];\nry(x98) q[3];\nrz(x99) q[3];\nry(x72) q[4];\nrz(x97) q[4];\nry(x100) q[5];\nrz(x101) q[5];\nry(x102) q[6];\nrz(x103) q[6];\nry(x104) q[7];\nrz(x105) q[7];\nry(x106) q[8];\nrz(x107) q[8];\nry(x108) q[9];\nrz(x109) q[9];\nry(x110) q[10];\nrz(x111) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x112) q[1];\nry(x112) q[1];\nrz(x113) q[2];\nrz(x113) q[2];\ncz q[2], q[1];\nry(x114) q[3];\nry(x114) q[3];\nrz(x115) q[4];\nrz(x115) q[4];\ncz q[4], q[3];\nry(x116) q[5];\nry(x116) q[5];\nrz(x117) q[6];\nrz(x117) q[6];\ncz q[6], q[5];\nry(x118) q[7];\nry(x118) q[7];\nrz(x119) q[8];\nrz(x119) q[8];\ncz q[8], q[7];\nry(x120) q[9];\nry(x120) q[9];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["f4058862d2cc91e963663e2c69858d5f","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [1655, 1623], \"expectation_value\": -2.5160110611410222, \"params\": [2.6098000000000003, 0.0095, 2.6002, 0.008700000000000001, 0.0034000000000000002, 0.0035, 0.5728, 0.0041, 2.6051, 0.0004, 1.5664, 0.006, 2.5999000000000003, 0.008400000000000001, 0.2857, 0.001, 2.5914, 0.0094, 2.5897, 0.0014, 2.6051, 0.0025, 0.0067, 0.0082, 0.0061, 0.009600000000000001, 0.0071, 0.0011, 0.0056, 0.007200000000000001, 0.008, 0.00030000000000000003, 0.007200000000000001, 0.0083, 0.007500000000000001, 0.0051, 0.0046, 0.0055000000000000005, 0.007, 0.0092, 0.006200000000000001, 0.0089, 0.007, 0.0007], \"bitstrings\": [\"00110001000\", \"00110101000\"], \"total_optimization_steps\": 260, \"probabilities\": [0.26694273047136646, 0.26932079334869186], \"optimization_time\": 14.208373308181763}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(6) @ Z(4) @ Z(7)) + -0.125 * (Z(6) @ Z(4) @ Z(8)) + -0.125 * (Z(4) @ Z(7) @ Z(8)) + -0.125 * (Z(6) @ Z(7) @ Z(8)) + 0.125 * (Z(6) @ Z(4) @ Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(9) @ Z(1)) + 0.0625 * (Z(10) @ Z(1)) + 0.0625 * (Z(8) @ Z(5)) + 0.0625 * (Z(9) @ Z(5)) + 0.0625 * (Z(10) @ Z(5)) + 0.0625 * (Z(9) @ Z(8)) + 0.0625 * (Z(10) @ Z(8)) + 0.0625 * (Z(9) @ Z(10)) + -0.0625 * (Z(1) @ Z(8) @ Z(5)) + -0.0625 * (Z(9) @ Z(1) @ Z(5)) + -0.0625 * (Z(10) @ Z(1) @ Z(5)) + -0.0625 * (Z(9) @ Z(8) @ Z(1)) + -0.0625 * (Z(10) @ Z(8) @ Z(1)) + -0.0625 * (Z(9) @ Z(10) @ Z(1)) + -0.0625 * (Z(9) @ Z(8) @ Z(5)) + -0.0625 * (Z(10) @ Z(8) @ Z(5)) + -0.0625 * (Z(9) @ Z(10) @ Z(5)) + -0.0625 * (Z(9) @ Z(10) @ Z(8)) + 0.0625 * (Z(9) @ Z(1) @ Z(8) @ Z(5)) + 0.0625 * (Z(1) @ Z(10) @ Z(8) @ Z(5)) + 0.0625 * (Z(9) @ Z(10) @ Z(1) @ Z(5)) + 0.0625 * (Z(9) @ Z(10) @ Z(8) @ Z(1)) + 0.0625 * (Z(9) @ Z(10) @ Z(8) @ Z(5)) + -0.0625 * (Z(5) @ Z(9) @ Z(10) @ Z(1) @ Z(8)) + 0.5 * (Z(10) @ Z(2)) + 0.0 * Z(0) + 0.1875 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3) + 0.125 * Z(4) + 0.1875 * Z(5) + 0.125 * Z(6) + -0.125 * Z(7) + 0.3125 * Z(8) + -0.0625 * Z(9) + -0.0625 * Z(10)",16,11,1,"{\"smallest_eigenvalues\": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], \"number_of_smallest_eigenvalues\": 18, \"first_excited_energy\": -2.4375, \"smallest_bitstrings\": [\"00110010010\", \"00110001100\", \"00110001010\", \"01110001000\", \"00101010010\", \"10001000011\", \"10001001001\", \"10000101001\", \"00110001001\", \"00110000110\", \"01010001001\", \"00100110010\", \"10010001001\", \"00100111000\", \"10100101000\", \"10101000010\", \"00110101000\", \"00111000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(2.6098) q[0];\nrz(0.0095) q[0];\nrx(2.6002) q[1];\nrz(0.0087) q[1];\nrx(0.0034) q[2];\nrz(0.0035) q[2];\nrx(0.5728) q[3];\nrz(0.0041) q[3];\nrx(2.6051) q[4];\nrz(0.0004) q[4];\nrx(1.5664) q[5];\nrz(0.006) q[5];\nrx(2.5999) q[6];\nrz(0.0084) q[6];\nrx(0.2857) q[7];\nrz(0.001) q[7];\nrx(2.5914) q[8];\nrz(0.0094) q[8];\nrx(2.5897) q[9];\nrz(0.0014) q[9];\nrx(2.6051) q[10];\nrz(0.0025) q[10];\ncrz(0.0067) q[1], q[0];\ncrz(0.0071) q[3], q[2];\ncrz(0.008) q[5], q[4];\ncrz(0.0075) q[7], q[6];\ncrz(0.007) q[9], q[8];\ncrz(0.0096) q[2], q[1];\ncrz(0.0072) q[4], q[3];\ncrz(0.0083) q[6], q[5];\ncrz(0.0055) q[8], q[7];\ncrz(0.0089) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x8) q[10];\nrz(x20) q[10];\ncrz(x21) q[1], q[0];\ncrz(x22) q[3], q[2];\ncrz(x23) q[5], q[4];\ncrz(x24) q[7], q[6];\ncrz(x25) q[9], q[8];\ncrz(x26) q[2], q[1];\ncrz(x27) q[4], q[3];\ncrz(x28) q[6], q[5];\ncrz(x29) q[8], q[7];\ncrz(x30) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["2551666545296015213","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 2, 3, 5], [1, 3, 4, 5], [1, 2, 3, 4], [1, 2, 3, 5], [0, 1, 3, 4], [0, 1, 2]]}","{\"states\": [27, 53], \"expectation_value\": -0.8332362009301694, \"params\": [[-0.33840000000000003], [0.34840000000000004]], \"bitstrings\": [\"100100\", \"001010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.030878253117201535, 0.03127505419139818], \"optimization_time\": 3.4798994064331055}","0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(1)) + 0.5416666666666666 * Z(2) + 0.41666666666666674 * Z(0) + 0.625 * Z(3) + 0.375 * Z(5) + 0.6666666666666666 * Z(1) + 0.375 * Z(4)",1,6,1,"{\"smallest_eigenvalues\": [-1.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.4166666666666665, \"smallest_bitstrings\": [\"001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(-0.1692) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(-0.1692) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.1128) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(-0.1128) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.0564) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(-0.1692) q[5];\ncx q[3], q[5];\ncx q[2], q[1];\nrz(-0.2256) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.1692) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.2256) q[1];\ncx q[3], q[1];\ncx q[5], q[1];\nrz(-0.1128) q[1];\ncx q[5], q[1];\ncx q[2], q[4];\nrz(-0.0564) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(-0.0564) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.1692) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(-0.0564) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(-0.1692) q[4];\ncx q[1], q[4];\nrz(-0.3666) q[2];\nrz(-0.282) q[0];\nrz(-0.423) q[3];\nrz(-0.2538) q[5];\nrz(-0.4512) q[1];\nrz(-0.2538) q[4];\nh q[0];\nrz(0.6968) q[0];\nh q[0];\nh q[1];\nrz(0.6968) q[1];\nh q[1];\nh q[2];\nrz(0.6968) q[2];\nh q[2];\nh q[3];\nrz(0.6968) q[3];\nh q[3];\nh q[4];\nrz(0.6968) q[4];\nh q[4];\nh q[5];\nrz(0.6968) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[2], q[1];\nrz(x3) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x3) q[1];\ncx q[3], q[1];\ncx q[5], q[1];\nrz(x1) q[1];\ncx q[5], q[1];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x2) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\nrz(x4) q[2];\nrz(x5) q[0];\nrz(x6) q[3];\nrz(x7) q[5];\nrz(x8) q[1];\nrz(x7) q[4];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["1408234504470828730","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[3, 5], [2, 3], [8, 3], [2, 5], [0, 7], [1, 3], [0, 5], [8, 1], [0, 3], [0, 6], [1, 2], [8, 2], [3, 6], [8, 6], [0, 4], [4, 6], [5, 6]]}","{\"states\": [59, 452], \"expectation_value\": -0.08936544795734949, \"params\": [[-0.046900000000000004], [0.057]], \"bitstrings\": [\"111000100\", \"000111011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002145895679097773, 0.002145895679097773], \"optimization_time\": 2.175330400466919}","0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4)",1,9,1,"{\"smallest_eigenvalues\": [-4.5, -4.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"111000100\", \"000111011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[3];\nrz(-0.0469) q[3];\ncx q[5], q[3];\ncx q[5], q[2];\nrz(-0.0469) q[2];\ncx q[5], q[2];\ncx q[3], q[2];\nrz(-0.0469) q[2];\ncx q[3], q[2];\ncx q[3], q[8];\nrz(-0.0469) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(-0.0469) q[8];\ncx q[2], q[8];\ncx q[5], q[0];\nrz(-0.0469) q[0];\ncx q[5], q[0];\ncx q[3], q[0];\nrz(-0.0469) q[0];\ncx q[3], q[0];\ncx q[0], q[7];\nrz(-0.0469) q[7];\ncx q[0], q[7];\ncx q[3], q[1];\nrz(-0.0469) q[1];\ncx q[3], q[1];\ncx q[2], q[1];\nrz(-0.0469) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(-0.0469) q[1];\ncx q[8], q[1];\ncx q[5], q[6];\nrz(-0.0469) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(-0.0469) q[6];\ncx q[3], q[6];\ncx q[8], q[6];\nrz(-0.0469) q[6];\ncx q[8], q[6];\ncx q[0], q[6];\nrz(-0.0469) q[6];\ncx q[0], q[6];\ncx q[0], q[4];\nrz(-0.0469) q[4];\ncx q[0], q[4];\ncx q[6], q[4];\nrz(-0.0469) q[4];\ncx q[6], q[4];\nrz(0) q[5];\nrz(0) q[3];\nrz(0) q[2];\nrz(0) q[8];\nrz(0) q[0];\nrz(0) q[7];\nrz(0) q[1];\nrz(0) q[6];\nrz(0) q[4];\nh q[0];\nrz(0.114) q[0];\nh q[0];\nh q[1];\nrz(0.114) q[1];\nh q[1];\nh q[2];\nrz(0.114) q[2];\nh q[2];\nh q[3];\nrz(0.114) q[3];\nh q[3];\nh q[4];\nrz(0.114) q[4];\nh q[4];\nh q[5];\nrz(0.114) q[5];\nh q[5];\nh q[6];\nrz(0.114) q[6];\nh q[6];\nh q[7];\nrz(0.114) q[7];\nh q[7];\nh q[8];\nrz(0.114) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[8], q[1];\nrz(x0) q[1];\ncx q[8], q[1];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[8], q[6];\nrz(x0) q[6];\ncx q[8], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\nrz(x1) q[5];\nrz(x1) q[3];\nrz(x1) q[2];\nrz(x1) q[8];\nrz(x1) q[0];\nrz(x1) q[7];\nrz(x1) q[1];\nrz(x1) q[6];\nrz(x1) q[4];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nh q[8];\nrz(x2) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["d553277f50a2caebf7d64bfa2366fbf1","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 5, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}, {\"capacity\": 4, \"source\": 5, \"target\": 6}]}","{\"states\": [106, 43], \"expectation_value\": -9.239155916146645, \"params\": null, \"bitstrings\": [\"0010101\", \"1010100\"], \"total_optimization_steps\": 44, \"probabilities\": [0.08729663983404472, 0.7841655267931145], \"optimization_time\": 40.6218638420105}","-1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 * Z(2) + 0.5 * Z(5) + 1.0 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-10.0, -10.0, -10.0, -10.0, -10.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -7.0, \"smallest_bitstrings\": [\"1000100\", \"1010100\", \"1111100\", \"1111110\", \"1011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\ncry(-1.5708) q[6], q[0];\nry(1.1303) q[6];\nry(-1.5708) q[2];\nry(-0.5502) q[0];\ncry(1.5687) q[6], q[5];\ncry(1.5647) q[5], q[1];\ncry(0.2397) q[5], q[6];\ncry(-0.1186) q[5], q[0];\ncry(0.8971) q[1], q[3];\ncry(0.0376) q[1], q[6];\ncry(0.3779) q[0], q[3];\ncry(0.0406) q[3], q[0];\ncry(0.0304) q[1], q[5];\ncry(0.2157) q[0], q[5];\ncry(0.1764) q[5], q[3];\ncry(-0.0222) q[1], q[0];\ncry(0.0175) q[3], q[1];\ncry(-0.0127) q[6], q[1];\nry(-0.0082) q[5];\ncry(-0.0021) q[3], q[6];\ncry(0.0282) q[0], q[1];\ncry(0.0048) q[3], q[5];\nry(-0.0013) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}",{"$cut":{"chars":30648,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\ncry(1.5647) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\ncry(1.5647) q[5], q[1];\\ncry(0.2397) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\ncry(1.5647) q[5], q[1];\\ncry(0.2397) q[5], q[6];\\ncry(-0.1186) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\ncry(-1.5708) q[6], q[0];\\nry(1.1303) q[6];\\nry(-1.5708) q[2];\\nry(-0.5502) q[0];\\ncry(1.5687) q[6], q[5];\\ncry(1.5647) q[5], q[1];\\ncry(0.2397) q[5], q[6];\\ncry(-0.1186) q[5], q[0];\\ncry(0.8971) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\nincl"}}]
["ed01866ce53def5a36a69737a2fd120b","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 7}]}","{\"states\": [64, 67], \"expectation_value\": -3.677012911706055, \"params\": [-0.004200000000000001, 0.33290000000000003, 0.49620000000000003, 0.0026000000000000003, -0.0031000000000000003, 0.39490000000000003, -0.0032, 0.35910000000000003, -0.0018000000000000002, 0.37170000000000003, 0.0001, 0.3125, 0.29600000000000004, -0.0013000000000000002, 0.5056, -0.0025, -0.0019, 0.3472, 0.4922, 0.002, -0.006200000000000001, 0.38330000000000003, -0.0021000000000000003, 0.37010000000000004, -0.0021000000000000003, 0.39480000000000004, -0.004, 0.3725, 0.2972, -0.004200000000000001, 0.5006, -0.0024000000000000002, -0.0001, 0.3015, 0.49310000000000004, 0.0021000000000000003, -0.0006000000000000001, 0.38880000000000003, -0.0023, 0.37510000000000004, -0.0046, 0.3629, -0.0055000000000000005, 0.3309, 0.29600000000000004, -0.0044, 0.5053, -0.0026000000000000003, -0.0048000000000000004, 0.2827, 0.4913, -0.1638, -0.0051, -0.1746, -0.0031000000000000003, 0.0076, -0.0008, -0.0579, 0.0016, 0.0461, 0.3035, -0.0043, 0.5075000000000001, 0.0039000000000000003, -0.0013000000000000002, 0.3805, 0.3451, 0.3609, 0.256, -0.0046, 0.25980000000000003, -0.0043, 0.3886, 0.2919, 0.3714, -0.2802, -0.0092, 0.44520000000000004, 0.0, 0.39430000000000004, 0.23320000000000002, 0.35810000000000003, -0.10490000000000001, 0.013600000000000001, 0.4692, -0.0033, 0.3523, -0.1894, 0.18150000000000002, 0.08950000000000001, -0.012, 0.4893], \"bitstrings\": [\"10111111\", \"10111100\"], \"total_optimization_steps\": 50, \"probabilities\": [0.1892877631793312, 0.39876429536297725], \"optimization_time\": 41.14448642730713}","-0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 * Z(7) + 0.25 * Z(1) + 0.25 * Z(6) + 0.5 * Z(3)",4,8,4,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"10000100\", \"10001100\", \"10011100\", \"10111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-0.0042) q[0];\nrz(0.3329) q[0];\nrx(0.4962) q[1];\nrz(0.0026) q[1];\nrx(-0.0031) q[2];\nrz(0.3949) q[2];\nrx(-0.0032) q[3];\nrz(0.3591) q[3];\nrx(-0.0018) q[4];\nrz(0.3717) q[4];\nrx(0.0001) q[5];\nrz(0.3125) q[5];\nrx(0.296) q[6];\nrz(-0.0013) q[6];\nrx(0.5056) q[7];\nrz(-0.0025) q[7];\ncrx(0.2598) q[7], q[6];\ncrx(-0.0046) q[6], q[5];\ncrx(0.256) q[5], q[4];\ncrx(0.3609) q[4], q[3];\ncrx(0.3451) q[3], q[2];\ncrx(0.3805) q[2], q[1];\ncrx(-0.0013) q[1], q[0];\nrx(-0.0019) q[0];\nrz(0.3472) q[0];\nrx(0.4922) q[1];\nrz(0.002) q[1];\nrx(-0.0062) q[2];\nrz(0.3833) q[2];\nrx(-0.0021) q[3];\nrz(0.3701) q[3];\nrx(-0.0021) q[4];\nrz(0.3948) q[4];\nrx(-0.004) q[5];\nrz(0.3725) q[5];\nrx(0.2972) q[6];\nrz(-0.0042) q[6];\nrx(0.5006) q[7];\nrz(-0.0024) q[7];\ncrx(0.4452) q[7], q[6];\ncrx(-0.0092) q[6], q[5];\ncrx(-0.2802) q[5], q[4];\ncrx(0.3714) q[4], q[3];\ncrx(0.2919) q[3], q[2];\ncrx(0.3886) q[2], q[1];\ncrx(-0.0043) q[1], q[0];\nrx(-0.0001) q[0];\nrz(0.3015) q[0];\nrx(0.4931) q[1];\nrz(0.0021) q[1];\nrx(-0.0006) q[2];\nrz(0.3888) q[2];\nrx(-0.0023) q[3];\nrz(0.3751) q[3];\nrx(-0.0046) q[4];\nrz(0.3629) q[4];\nrx(-0.0055) q[5];\nrz(0.3309) q[5];\nrx(0.296) q[6];\nrz(-0.0044) q[6];\nrx(0.5053) q[7];\nrz(-0.0026) q[7];\ncrx(0.4692) q[7], q[6];\ncrx(0.0136) q[6], q[5];\ncrx(-0.1049) q[5], q[4];\ncrx(0.3581) q[4], q[3];\ncrx(0.2332) q[3], q[2];\ncrx(0.3943) q[2], q[1];\ncrx(0) q[1], q[0];\nrx(-0.0048) q[0];\nrz(0.2827) q[0];\nrx(0.4913) q[1];\nrz(-0.1638) q[1];\nrx(-0.0051) q[2];\nrz(-0.1746) q[2];\nrx(-0.0031) q[3];\nrz(0.0076) q[3];\nrx(-0.0008) q[4];\nrz(-0.0579) q[4];\nrx(0.0016) q[5];\nrz(0.0461) q[5];\nrx(0.3035) q[6];\nrz(-0.0043) q[6];\nrx(0.5075) q[7];\nrz(0.0039) q[7];\ncrx(0.4893) q[7], q[6];\ncrx(-0.012) q[6], q[5];\ncrx(0.0895) q[5], q[4];\ncrx(0.1815) q[4], q[3];\ncrx(-0.1894) q[3], q[2];\ncrx(0.3523) q[2], q[1];\ncrx(-0.0033) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[6], q[5];\ncrx(x18) q[5], q[4];\ncrx(x19) q[4], q[3];\ncrx(x20) q[3], q[2];\ncrx(x21) q[2], q[1];\ncrx(x13) q[1], q[0];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x28) q[4];\nrz(x30) q[4];\nrx(x31) q[5];\nrz(x32) q[5];\nrx(x33) q[6];\nrz(x0) q[6];\nrx(x34) q[7];\nrz(x35) q[7];\ncrx(x36) q[7], q[6];\ncrx(x37) q[6], q[5];\ncrx(x38) q[5], q[4];\ncrx(x39) q[4], q[3];\ncrx(x40) q[3], q[2];\ncrx(x41) q[2], q[1];\ncrx(x42) q[1], q[0];\nrx(x43) q[0];\nrz(x44) q[0];\nrx(x45) q[1];\nrz(x46) q[1];\nrx(x47) q[2];\nrz(x48) q[2];\nrx(x49) q[3];\nrz(x50) q[3];\nrx(x17) q[4];\nrz(x51) q[4];\nrx(x52) q[5];\nrz(x53) q[5];\nrx(x12) q[6];\nrz(x54) q[6];\nrx(x55) q[7];\nrz(x56) q[7];\ncrx(x57) q[7], q[6];\ncrx(x58) q[6], q[5];\ncrx(x59) q[5], q[4];\ncrx(x60) q[4], q[3];\ncrx(x61) q[3], q[2];\ncrx(x62) q[2], q[1];\ncrx(x63) q[1], q[0];\nrx(x64) q[0];\nrz(x65) q[0];\nrx(x66) q[1];\nrz(x67) q[1];\nrx(x68) q[2];\nrz(x69) q[2];\nrx(x4) q[3];\nrz(x70) q[3];\nrx(x71) q[4];\nrz(x72) q[4];\nrx(x73) q[5];\nrz(x74) q[5];\nrx(x75) q[6];\nrz(x42) q[6];\nrx(x76) q[7];\nrz(x77) q[7];\ncrx(x78) q[7], q[6];\ncrx(x79) q[6], q[5];\ncrx(x80) q[5], q[4];\ncrx(x81) q[4], q[3];\ncrx(x82) q[3], q[2];\ncrx(x83) q[2], q[1];\ncrx(x84) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["5675e3d1d23688cedf58afc21ee4a6b6","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [383, 1023], \"expectation_value\": -13.07543751772129, \"params\": null, \"bitstrings\": [\"1010000000\", \"0000000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.12809741942845723, 0.46835014598754204], \"optimization_time\": 166.70394158363342}","-1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * Z(2) + 1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(1)",5,10,1,"{\"smallest_eigenvalues\": [-16.0, -16.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -15.0, \"smallest_bitstrings\": [\"0000000000\", \"1010000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[3], q[7];\nry(1.0383) q[3];\ncry(1.5708) q[7], q[5];\ncry(0.2441) q[5], q[7];\ncry(1.5706) q[2], q[0];\ncry(1.5706) q[3], q[4];\ncry(1.5704) q[7], q[6];\ncry(1.5681) q[8], q[9];\ncry(1.5708) q[9], q[1];\ncry(1.2536) q[1], q[8];\ncry(0.4771) q[1], q[9];\ncry(-1.0115) q[6], q[7];\nry(-0.1451) q[7];\ncry(0.0503) q[4], q[7];\ncry(0.3023) q[1], q[7];\ncry(0.3768) q[9], q[7];\ncry(0.4673) q[0], q[7];\ncry(-0.0194) q[8], q[7];\nry(-0.1675) q[1];\ncry(0.1844) q[7], q[3];\ncry(0.1675) q[8], q[1];\ncry(-0.1545) q[4], q[1];\ncry(0.1448) q[2], q[7];\nry(0.4372) q[2];\ncry(0.129) q[9], q[8];\ncry(0.6855) q[0], q[2];\nry(0.2137) q[0];\ncry(-0.2013) q[6], q[5];\ncry(0.1163) q[3], q[5];\nry(-0.1105) q[6];\ncry(0.1279) q[3], q[6];\ncry(-0.037) q[6], q[3];\nry(-0.0802) q[4];\nry(-0.0907) q[5];\ncry(0.0439) q[2], q[3];\ncry(-0.0309) q[5], q[3];\ncry(-0.0783) q[1], q[6];\ncry(0.0358) q[8], q[3];\ncry(0.0727) q[7], q[4];\ncry(0.0817) q[2], q[5];\ncry(-0.0525) q[1], q[4];\ncry(0.066) q[7], q[2];\ncry(0.0353) q[5], q[0];\ncry(-0.0142) q[0], q[1];\ncry(0.0231) q[7], q[1];\ncry(-0.0165) q[5], q[1];\nry(-0.008) q[9];\ncry(0.0378) q[6], q[4];\ncry(-0.0433) q[0], q[4];\ncry(-0.0128) q[4], q[3];\ncry(0.0249) q[5], q[4];\ncry(-0.0265) q[9], q[4];\ncry(0.0301) q[5], q[2];\ncry(0.018) q[4], q[0];\nry(-0.0022) q[8];\ncry(0.024) q[4], q[2];\ncry(0.0149) q[6], q[0];\ncry(0.0253) q[5], q[6];\ncry(-0.0383) q[0], q[6];\ncry(-0.0109) q[4], q[5];\ncry(0.0199) q[1], q[2];\ncry(0.0123) q[1], q[0];\ncry(-0.0042) q[2], q[1];\ncry(0.011) q[3], q[1];\ncry(-0.0076) q[6], q[1];\ncry(-0.0005) q[4], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"node\": 1}",{"$cut":{"chars":136495,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[3], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[3], q[7];\\nry(1.0383) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[3], q[7];\\nry(1.0383) q[3];\\ncry(1.5708) q[7], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[3], q[7];\\nry(1.0383) q[3];\\ncry(1.5708) q[7], q[5];\\ncry(0.2441) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[3], q[7];\\nry(1.0383) q[3];\\ncry(1.5708) q[7], q[5];\\ncry(0.2441) q[5], q[7];\\ncry(1.5706) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[3], q[7];\\nry(1.0383) q[3];\\ncry(1.5708) q[7], q[5];\\ncry(0.2441) q[5], q[7];\\ncry(1.5706) q[2], q[0];\\ncry(1.5706) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[3], q[7];\\nry(1.0383) q[3];\\ncry(1.5708) q[7], q[5];\\ncry(0.2441) q[5], q[7];\\ncry(1.5706) q[2], q[0];\\ncry(1.5706) q[3], q[4];\\ncry(1.5704) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[3], q[7];\\nry(1.0383) q[3];\\ncry(1.5708) q[7], q[5];\\ncry(0.2441) q[5], q[7];\\ncry(1.5706) q[2], q[0];\\ncry(1.5706) q[3], q[4];\\ncry(1.5704) q[7], q[6];\\ncry(1.5681) q[8], q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5708) q[3]"}}]
["2fc4cdd822562fe181c001ffdae1abb5","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 0, \"target\": 9}, {\"capacity\": 4, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 10}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 9}, {\"capacity\": 5, \"source\": 3, \"target\": 11}, {\"capacity\": 4, \"source\": 4, \"target\": 10}, {\"capacity\": 1, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 9}, {\"capacity\": 4, \"source\": 6, \"target\": 11}, {\"capacity\": 1, \"source\": 7, \"target\": 1}, {\"capacity\": 3, \"source\": 7, \"target\": 2}, {\"capacity\": 2, \"source\": 7, \"target\": 10}, {\"capacity\": 1, \"source\": 7, \"target\": 11}, {\"capacity\": 5, \"source\": 8, \"target\": 4}, {\"capacity\": 3, \"source\": 8, \"target\": 11}, {\"capacity\": 1, \"source\": 9, \"target\": 11}, {\"capacity\": 3, \"source\": 10, \"target\": 5}, {\"capacity\": 1, \"source\": 10, \"target\": 7}, {\"capacity\": 3, \"source\": 10, \"target\": 8}, {\"capacity\": 2, \"source\": 10, \"target\": 11}]}","{\"states\": [2048, 2046], \"expectation_value\": -15.523278011360912, \"params\": [[[0.0004, -0.4006], [-0.0023, -0.0017000000000000001], [0.0014, -0.0027], [0.0012000000000000001, 0.0031000000000000003], [0.0024000000000000002, 0.0031000000000000003], [-0.0047, -0.0032], [0.0021000000000000003, 0.0031000000000000003], [0.005, 0.0027], [0.0009000000000000001, 0.0023], [0.002, -0.003], [-0.1752, -0.5605], [-0.0023, -0.113]], [[-0.0145, 0.0033], [-0.0055000000000000005, -0.5423], [0.004200000000000001, -0.006900000000000001], [0.005, -0.0034000000000000002], [0.0023, -0.0001], [0.0001, 0.0035], [0.0029000000000000002, -0.0036000000000000003], [-0.0009000000000000001, 0.0018000000000000002], [0.0017000000000000001, -0.0035], [0.0009000000000000001, -0.0026000000000000003], [0.07150000000000001, 0.0008], [-0.0873, 0.0019]], [[0.0088, 0.6027], [0.0031000000000000003, -0.0006000000000000001], [0.0018000000000000002, 0.0013000000000000002], [0.002, 0.0032], [0.0025, -0.0029000000000000002], [0.0017000000000000001, 0.0016], [0.0023, 0.0031000000000000003], [0.0048000000000000004, 0.0025], [0.0004, 0.0026000000000000003], [0.0025, 0.0018000000000000002], [0.0017000000000000001, 0.24000000000000002], [-0.5378000000000001, 0.0041]], [[0.0207, 0.3806], [-0.0002, 0.5984], [0.0024000000000000002, -0.006], [0.0026000000000000003, 0.0034000000000000002], [0.0031000000000000003, 0.0027], [0.0017000000000000001, -0.0031000000000000003], [0.0028, 0.0032], [0.0032, -0.0015], [0.0011, 0.0032], [0.0019, 0.0032], [-0.1443, 0.0056], [0.002, 0.003]]], \"bitstrings\": [\"011111111111\", \"100000000001\"], \"total_optimization_steps\": 60, \"probabilities\": [0.2809574158329811, 0.42404672753549316], \"optimization_time\": 21.30628752708435}","-0.25 * (Z(0) @ Z(8)) + -0.75 * (Z(11) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(11)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(7)) + -0.75 * (Z(9) @ Z(2)) + -1.0 * (Z(9) @ Z(5)) + -1.0 * (Z(3) @ Z(8)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(9)) + -0.75 * (Z(10) @ Z(2)) + -1.25 * (Z(10) @ Z(6)) + -0.75 * (Z(10) @ Z(3)) + 0.75 * Z(8) + -0.25 * Z(0) + -1.25 * Z(11) + -1.25 * Z(4) + 0.25 * Z(1) + -0.5 * Z(7) + 0.5 * Z(2) + 4.25 * Z(5) + -1.25 * Z(6) + 0.25 * Z(9) + -2.75 * Z(3) + 1.25 * Z(10)",15,12,4,"{\"smallest_eigenvalues\": [-17.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.25, \"smallest_bitstrings\": [\"100000000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.0004) q[0];\nry(-0.0023) q[1];\nry(0.0014) q[2];\nry(0.0012) q[3];\nry(0.0024) q[4];\nry(-0.0047) q[5];\nry(0.0021) q[6];\nry(0.005) q[7];\nry(0.0009) q[8];\nry(0.002) q[9];\nry(-0.1752) q[10];\nry(-0.0023) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.4006) q[0];\nry(-0.0017) q[1];\nry(-0.0027) q[2];\nry(0.0031) q[3];\nry(0.0031) q[4];\nry(-0.0032) q[5];\nry(0.0031) q[6];\nry(0.0027) q[7];\nry(0.0023) q[8];\nry(-0.003) q[9];\nry(-0.5605) q[10];\nry(-0.113) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.0145) q[0];\nry(-0.0055) q[1];\nry(0.0042) q[2];\nry(0.005) q[3];\nry(0.0023) q[4];\nry(0.0001) q[5];\nry(0.0029) q[6];\nry(-0.0009) q[7];\nry(0.0017) q[8];\nry(0.0009) q[9];\nry(0.0715) q[10];\nry(-0.0873) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0033) q[0];\nry(-0.5423) q[1];\nry(-0.0069) q[2];\nry(-0.0034) q[3];\nry(-0.0001) q[4];\nry(0.0035) q[5];\nry(-0.0036) q[6];\nry(0.0018) q[7];\nry(-0.0035) q[8];\nry(-0.0026) q[9];\nry(0.0008) q[10];\nry(0.0019) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(0.0088) q[0];\nry(0.0031) q[1];\nry(0.0018) q[2];\nry(0.002) q[3];\nry(0.0025) q[4];\nry(0.0017) q[5];\nry(0.0023) q[6];\nry(0.0048) q[7];\nry(0.0004) q[8];\nry(0.0025) q[9];\nry(0.0017) q[10];\nry(-0.5378) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.6027) q[0];\nry(-0.0006) q[1];\nry(0.0013) q[2];\nry(0.0032) q[3];\nry(-0.0029) q[4];\nry(0.0016) q[5];\nry(0.0031) q[6];\nry(0.0025) q[7];\nry(0.0026) q[8];\nry(0.0018) q[9];\nry(0.24) q[10];\nry(0.0041) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(0.0207) q[0];\nry(-0.0002) q[1];\nry(0.0024) q[2];\nry(0.0026) q[3];\nry(0.0031) q[4];\nry(0.0017) q[5];\nry(0.0028) q[6];\nry(0.0032) q[7];\nry(0.0011) q[8];\nry(0.0019) q[9];\nry(-0.1443) q[10];\nry(0.002) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.3806) q[0];\nry(0.5984) q[1];\nry(-0.006) q[2];\nry(0.0034) q[3];\nry(0.0027) q[4];\nry(-0.0031) q[5];\nry(0.0032) q[6];\nry(-0.0015) q[7];\nry(0.0032) q[8];\nry(0.0032) q[9];\nry(0.0056) q[10];\nry(0.003) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x1) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x14) q[6];\nry(x16) q[7];\nry(x17) q[8];\nry(x18) q[9];\nry(x19) q[10];\nry(x20) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x21) q[0];\nry(x22) q[1];\nry(x23) q[2];\nry(x7) q[3];\nry(x17) q[4];\nry(x24) q[5];\nry(x25) q[6];\nry(x26) q[7];\nry(x27) q[8];\nry(x8) q[9];\nry(x28) q[10];\nry(x29) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x30) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x38) q[8];\nry(x39) q[9];\nry(x40) q[10];\nry(x41) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x42) q[0];\nry(x14) q[1];\nry(x37) q[2];\nry(x9) q[3];\nry(x43) q[4];\nry(x27) q[5];\nry(x17) q[6];\nry(x44) q[7];\nry(x0) q[8];\nry(x43) q[9];\nry(x27) q[10];\nry(x45) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x46) q[0];\nry(x47) q[1];\nry(x48) q[2];\nry(x49) q[3];\nry(x50) q[4];\nry(x51) q[5];\nry(x14) q[6];\nry(x43) q[7];\nry(x52) q[8];\nry(x37) q[9];\nry(x53) q[10];\nry(x54) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x55) q[0];\nry(x56) q[1];\nry(x4) q[2];\nry(x52) q[3];\nry(x14) q[4];\nry(x27) q[5];\nry(x57) q[6];\nry(x49) q[7];\nry(x58) q[8];\nry(x41) q[9];\nry(x59) q[10];\nry(x9) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x60) q[0];\nry(x61) q[1];\nry(x62) q[2];\nry(x63) q[3];\nry(x16) q[4];\nry(x64) q[5];\nry(x49) q[6];\nry(x65) q[7];\nry(x49) q[8];\nry(x49) q[9];\nry(x66) q[10];\nry(x67) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["c502b67eb6d91d909ba398fa39bec60c","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}]}","{\"states\": [20, 23], \"expectation_value\": -3.499934076181417, \"params\": null, \"bitstrings\": [\"01011\", \"01000\"], \"total_optimization_steps\": 19, \"probabilities\": [1.3833501308055688e-05, 0.9999481856908635], \"optimization_time\": 11.866241693496704}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4)",1,5,3,"{\"smallest_eigenvalues\": [-3.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"01000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nry(1.4449) q[4];\nry(1.4449) q[0];\nry(1.4449) q[2];\nry(1.4449) q[3];\ncry(0.1187) q[3], q[4];\ncry(0.1188) q[4], q[0];\ncry(0.1188) q[0], q[2];\ncry(0.1186) q[0], q[3];\ncry(0.0072) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4449) q[2];\\nry(1.4449) q[3];\\ncry(0.1187) q[3], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[0], q[3];\\ncry(0.0072) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.506, 0.5007, 0.5005, 0.5003, 0.5001, 0.0611, 0.0613, 0.0613, 0.0612, 0.0176, 0.014, 0.014, 0.0105, 0.0105, 0.007, 0.007, 0.0035, 0.0035, 0.0028]}"]
["a3a1ede6c1588ccbe2b203bec8f93c99","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}, {\"bipartite\": 1, \"id\": 15}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 8}, {\"weight\": 1, \"source\": 1, \"target\": 9}, {\"weight\": 14, \"source\": 1, \"target\": 12}, {\"weight\": 1, \"source\": 2, \"target\": 10}, {\"weight\": 1, \"source\": 3, \"target\": 11}, {\"weight\": 14, \"source\": 3, \"target\": 8}, {\"weight\": 13, \"source\": 3, \"target\": 10}, {\"weight\": 9, \"source\": 4, \"target\": 12}, {\"weight\": 13, \"source\": 4, \"target\": 9}, {\"weight\": 9, \"source\": 5, \"target\": 13}, {\"weight\": 10, \"source\": 6, \"target\": 14}, {\"weight\": 7, \"source\": 7, \"target\": 15}, {\"weight\": 11, \"source\": 7, \"target\": 11}]}","{\"states\": [2514, 2386], \"expectation_value\": -105.9016998442323, \"params\": [-0.0022, 0.6245, 1.2032, 0.059300000000000005, 0.42500000000000004, 0.637, -0.0024000000000000002, 0.8091, 1.208, 0.0117, 0.7709, -0.2726, 1.1945000000000001, -0.0867, 0.7112, 0.5365, 1.2066000000000001, 0.366, 0.0026000000000000003, 0.8198000000000001, 0.0036000000000000003, -0.24650000000000002, 1.2025000000000001, 0.007, -0.0032, 0.8381000000000001, -0.0022, 0.0059, 1.2088, 0.004200000000000001, 0.4238, 0.0058000000000000005, -0.0024000000000000002, 0.006, 1.2049, 0.0004, 0.7735000000000001, 0.008700000000000001, 1.1962000000000002, 0.0009000000000000001, 0.7099000000000001, 0.0054, 1.2023000000000001, 0.007200000000000001, 0.0026000000000000003, 0.0039000000000000003, 0.0012000000000000001, 0.0007, 1.1975, 0.0022, -0.0023, 0.0091, 0.0776, 0.008700000000000001, 0.0054, 0.6629, -0.7908000000000001, 0.0041, 0.0038, 0.021500000000000002, -0.23420000000000002, 0.0073, 0.0033, -0.254, -0.3594, 0.0022, 0.007500000000000001, 0.7031000000000001, -0.7962, 0.0085, 0.0027, 0.2559, 0.0029000000000000002, 0.0089, 0.0033, 0.8445, 0.0097, 0.0027, 0.0094, 0.0081, 0.006, 0.0058000000000000005, 0.0021000000000000003, 0.0086, 0.0086, 0.002, 0.0051, 0.004200000000000001, 0.0013000000000000002, 0.0031000000000000003, 0.0009000000000000001, 0.0049, 0.0044, 0.0095, 0.0037, 0.0056, 0.0088, 0.0086, 0.0024000000000000002, 0.0055000000000000005, 0.0077, 0.0037, 0.0077, 0.004], \"bitstrings\": [\"1011000101101\", \"1011010101101\"], \"total_optimization_steps\": 120, \"probabilities\": [0.12996812293605955, 0.14993669948441235], \"optimization_time\": 19.89271855354309}","8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(0) @ Z(6)) + 8.5 * (Z(4) @ Z(6)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(5) @ Z(4)) + 8.5 * (Z(8) @ Z(2)) + 8.5 * (Z(7) @ Z(1)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(11) @ Z(5)) + 8.5 * (Z(12) @ Z(11)) + 0.5 * Z(2) + 7.0 * Z(1) + 15.5 * Z(6) + -5.5 * Z(0) + 15.0 * Z(4) + -8.0 * Z(3) + 9.0 * Z(5) + 6.5 * Z(8) + 4.5 * Z(7) + 5.5 * Z(11) + -5.0 * Z(12) + -12.5 * Z(9) + -12.0 * Z(10)",16,13,2,"{\"smallest_eigenvalues\": [-155.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -138.0, \"smallest_bitstrings\": [\"1011010101101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nrx(-0.0022) q[0];\nrz(0.6245) q[0];\nrx(1.2032) q[1];\nrz(0.0593) q[1];\nrx(0.425) q[2];\nrz(0.637) q[2];\nrx(-0.0024) q[3];\nrz(0.8091) q[3];\nrx(1.208) q[4];\nrz(0.0117) q[4];\nrx(0.7709) q[5];\nrz(-0.2726) q[5];\nrx(1.1945) q[6];\nrz(-0.0867) q[6];\nrx(0.7112) q[7];\nrz(0.5365) q[7];\nrx(1.2066) q[8];\nrz(0.366) q[8];\nrx(0.0026) q[9];\nrz(0.8198) q[9];\nrx(0.0036) q[10];\nrz(-0.2465) q[10];\nrx(1.2025) q[11];\nrz(0.007) q[11];\nrx(-0.0032) q[12];\nrz(0.8381) q[12];\ncrz(0.0776) q[1], q[0];\ncrz(-0.7908) q[3], q[2];\ncrz(-0.2342) q[5], q[4];\ncrz(-0.3594) q[7], q[6];\ncrz(-0.7962) q[9], q[8];\ncrz(0.0029) q[11], q[10];\ncrz(0.6629) q[2], q[1];\ncrz(0.0215) q[4], q[3];\ncrz(-0.254) q[6], q[5];\ncrz(0.7031) q[8], q[7];\ncrz(0.2559) q[10], q[9];\ncrz(0.8445) q[12], q[11];\nrx(-0.0022) q[0];\nrz(0.0059) q[0];\nrx(1.2088) q[1];\nrz(0.0042) q[1];\nrx(0.4238) q[2];\nrz(0.0058) q[2];\nrx(-0.0024) q[3];\nrz(0.006) q[3];\nrx(1.2049) q[4];\nrz(0.0004) q[4];\nrx(0.7735) q[5];\nrz(0.0087) q[5];\nrx(1.1962) q[6];\nrz(0.0009) q[6];\nrx(0.7099) q[7];\nrz(0.0054) q[7];\nrx(1.2023) q[8];\nrz(0.0072) q[8];\nrx(0.0026) q[9];\nrz(0.0039) q[9];\nrx(0.0012) q[10];\nrz(0.0007) q[10];\nrx(1.1975) q[11];\nrz(0.0022) q[11];\nrx(-0.0023) q[12];\nrz(0.0091) q[12];\ncrz(0.0094) q[1], q[0];\ncrz(0.0021) q[3], q[2];\ncrz(0.0051) q[5], q[4];\ncrz(0.0009) q[7], q[6];\ncrz(0.0037) q[9], q[8];\ncrz(0.0024) q[11], q[10];\ncrz(0.0058) q[2], q[1];\ncrz(0.002) q[4], q[3];\ncrz(0.0031) q[6], q[5];\ncrz(0.0095) q[8], q[7];\ncrz(0.0086) q[10], q[9];\ncrz(0.0037) q[12], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\nrx(x24) q[12];\nrz(x25) q[12];\ncrz(x26) q[1], q[0];\ncrz(x27) q[3], q[2];\ncrz(x28) q[5], q[4];\ncrz(x29) q[7], q[6];\ncrz(x30) q[9], q[8];\ncrz(x31) q[11], q[10];\ncrz(x32) q[2], q[1];\ncrz(x33) q[4], q[3];\ncrz(x34) q[6], q[5];\ncrz(x35) q[8], q[7];\ncrz(x36) q[10], q[9];\ncrz(x37) q[12], q[11];\nrx(x0) q[0];\nrz(x38) q[0];\nrx(x39) q[1];\nrz(x40) q[1];\nrx(x41) q[2];\nrz(x42) q[2];\nrx(x6) q[3];\nrz(x43) q[3];\nrx(x44) q[4];\nrz(x45) q[4];\nrx(x46) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\nrx(x50) q[7];\nrz(x51) q[7];\nrx(x52) q[8];\nrz(x53) q[8];\nrx(x18) q[9];\nrz(x54) q[9];\nrx(x55) q[10];\nrz(x56) q[10];\nrx(x57) q[11];\nrz(x58) q[11];\nrx(x59) q[12];\nrz(x60) q[12];\ncrz(x61) q[1], q[0];\ncrz(x62) q[3], q[2];\ncrz(x63) q[5], q[4];\ncrz(x49) q[7], q[6];\ncrz(x64) q[9], q[8];\ncrz(x65) q[11], q[10];\ncrz(x42) q[2], q[1];\ncrz(x66) q[4], q[3];\ncrz(x67) q[6], q[5];\ncrz(x68) q[8], q[7];\ncrz(x69) q[10], q[9];\ncrz(x64) q[12], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7], \\\"right_nodes\\\": [8, 9, 10, 11, 12, 13, 14, 15]}\"}","{\"circuits\": [], \"gradients\": []}"]
["43f346f2449aaad74bd3d1617b2cab32","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [22, 13], \"expectation_value\": -0.10263083868374515, \"params\": [[0.0669], [-0.056]], \"bitstrings\": [\"101001\", \"110010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.017049643268426045, 0.01704964326842605], \"optimization_time\": 1.0414507389068604}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"101001\", \"110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.0669) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0669) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.0669) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.0669) q[4];\ncx q[0], q[4];\ncx q[2], q[1];\nrz(0.0669) q[1];\ncx q[2], q[1];\ncx q[4], q[5];\nrz(0.0669) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(0.0669) q[5];\ncx q[1], q[5];\nrz(-0.1338) q[2];\nrz(-0.1338) q[0];\nrz(0) q[3];\nrz(-0.1338) q[4];\nrz(-0.0669) q[1];\nrz(-0.0669) q[5];\nh q[0];\nrz(-0.112) q[0];\nh q[0];\nh q[1];\nrz(-0.112) q[1];\nh q[1];\nh q[2];\nrz(-0.112) q[2];\nh q[2];\nh q[3];\nrz(-0.112) q[3];\nh q[3];\nh q[4];\nrz(-0.112) q[4];\nh q[4];\nh q[5];\nrz(-0.112) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x1) q[4];\nrz(x3) q[1];\nrz(x3) q[5];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["1e66658283a5aa7556a964c41aeb84ff","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 4, \"source\": 1, \"target\": 2}, {\"capacity\": 6, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 5, \"source\": 1, \"target\": 7}, {\"capacity\": 5, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 4, \"source\": 4, \"target\": 3}, {\"capacity\": 3, \"source\": 4, \"target\": 7}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 6, \"target\": 4}, {\"capacity\": 4, \"source\": 6, \"target\": 5}]}","{\"states\": [128, 127], \"expectation_value\": -1.1159730878162877, \"params\": [[-0.0582, 0.06720000000000001], [0.0782, -0.032]], \"bitstrings\": [\"01111111\", \"10000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005762046115708519, 0.005821243618871048], \"optimization_time\": 3.1756505966186523}","0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(3)) + -3.5 * Z(7) + -0.25 * Z(0) + 4.0 * Z(1) + -0.75 * Z(2) + -1.25 * Z(5) + 0.0 * Z(6) + -0.25 * Z(3) + 2.0 * Z(4)",1,8,2,"{\"smallest_eigenvalues\": [-12.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.25, \"smallest_bitstrings\": [\"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[0];\nrz(-0.0291) q[0];\ncx q[7], q[0];\ncx q[7], q[1];\nrz(0.1455) q[1];\ncx q[7], q[1];\ncx q[7], q[2];\nrz(0.1455) q[2];\ncx q[7], q[2];\ncx q[1], q[2];\nrz(0.1164) q[2];\ncx q[1], q[2];\ncx q[7], q[5];\nrz(0.0582) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(0.1746) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(0.0582) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.2037) q[6];\ncx q[5], q[6];\ncx q[2], q[3];\nrz(0.0291) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(0.0873) q[4];\ncx q[7], q[4];\ncx q[1], q[4];\nrz(0.0291) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0873) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(0.0291) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.1746) q[4];\ncx q[3], q[4];\nrz(0.4074) q[7];\nrz(0.0291) q[0];\nrz(-0.4656) q[1];\nrz(0.0873) q[2];\nrz(0.1455) q[5];\nrz(0) q[6];\nrz(0.0291) q[3];\nrz(-0.2328) q[4];\nh q[0];\nrz(0.1564) q[0];\nh q[0];\nh q[1];\nrz(0.1564) q[1];\nh q[1];\nh q[2];\nrz(0.1564) q[2];\nh q[2];\nh q[3];\nrz(0.1564) q[3];\nh q[3];\nh q[4];\nrz(0.1564) q[4];\nh q[4];\nh q[5];\nrz(0.1564) q[5];\nh q[5];\nh q[6];\nrz(0.1564) q[6];\nh q[6];\nh q[7];\nrz(0.1564) q[7];\nh q[7];\ncx q[7], q[0];\nrz(0.0336) q[0];\ncx q[7], q[0];\ncx q[7], q[1];\nrz(-0.168) q[1];\ncx q[7], q[1];\ncx q[7], q[2];\nrz(-0.168) q[2];\ncx q[7], q[2];\ncx q[1], q[2];\nrz(-0.1344) q[2];\ncx q[1], q[2];\ncx q[7], q[5];\nrz(-0.0672) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(-0.2016) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(-0.0672) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.2352) q[6];\ncx q[5], q[6];\ncx q[2], q[3];\nrz(-0.0336) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(-0.1008) q[4];\ncx q[7], q[4];\ncx q[1], q[4];\nrz(-0.0336) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.1008) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(-0.0336) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(-0.2016) q[4];\ncx q[3], q[4];\nrz(-0.4704) q[7];\nrz(-0.0336) q[0];\nrz(0.5376) q[1];\nrz(-0.1008) q[2];\nrz(-0.168) q[5];\nrz(0) q[6];\nrz(-0.0336) q[3];\nrz(0.2688) q[4];\nh q[0];\nrz(-0.064) q[0];\nh q[0];\nh q[1];\nrz(-0.064) q[1];\nh q[1];\nh q[2];\nrz(-0.064) q[2];\nh q[2];\nh q[3];\nrz(-0.064) q[3];\nh q[3];\nh q[4];\nrz(-0.064) q[4];\nh q[4];\nh q[5];\nrz(-0.064) q[5];\nh q[5];\nh q[6];\nrz(-0.064) q[6];\nh q[6];\nh q[7];\nrz(-0.064) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[0];\nrz(x0) q[0];\ncx q[7], q[0];\ncx q[7], q[1];\nrz(x1) q[1];\ncx q[7], q[1];\ncx q[7], q[2];\nrz(x1) q[2];\ncx q[7], q[2];\ncx q[1], q[2];\nrz(x2) q[2];\ncx q[1], q[2];\ncx q[7], q[5];\nrz(x3) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(x3) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x5) q[6];\ncx q[5], q[6];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(x7) q[4];\ncx q[7], q[4];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x7) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(x6) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x4) q[4];\ncx q[3], q[4];\nrz(x8) q[7];\nrz(x6) q[0];\nrz(x9) q[1];\nrz(x7) q[2];\nrz(x1) q[5];\nrz(x10) q[6];\nrz(x6) q[3];\nrz(x11) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\ncx q[7], q[0];\nrz(x13) q[0];\ncx q[7], q[0];\ncx q[7], q[1];\nrz(x14) q[1];\ncx q[7], q[1];\ncx q[7], q[2];\nrz(x14) q[2];\ncx q[7], q[2];\ncx q[1], q[2];\nrz(x15) q[2];\ncx q[1], q[2];\ncx q[7], q[5];\nrz(x16) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(x17) q[5];\ncx q[1], q[5];\ncx q[1], q[6];\nrz(x16) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[2], q[3];\nrz(x19) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(x20) q[4];\ncx q[7], q[4];\ncx q[1], q[4];\nrz(x19) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x20) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(x19) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x17) q[4];\ncx q[3], q[4];\nrz(x21) q[7];\nrz(x19) q[0];\nrz(x22) q[1];\nrz(x20) q[2];\nrz(x14) q[5];\nrz(x10) q[6];\nrz(x19) q[3];\nrz(x23) q[4];\nh q[0];\nrz(x24) q[0];\nh q[0];\nh q[1];\nrz(x24) q[1];\nh q[1];\nh q[2];\nrz(x24) q[2];\nh q[2];\nh q[3];\nrz(x24) q[3];\nh q[3];\nh q[4];\nrz(x24) q[4];\nh q[4];\nh q[5];\nrz(x24) q[5];\nh q[5];\nh q[6];\nrz(x24) q[6];\nh q[6];\nh q[7];\nrz(x24) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["4ab3a9f98a5ea141820b159d6cb4ba53","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 4, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 6, \"target\": 5}]}","{\"states\": [0, 1], \"expectation_value\": -7.572375931910472, \"params\": [0.0009000000000000001, 0.43920000000000003, 0.0024000000000000002, 0.5999, 0.0029000000000000002, 0.5920000000000001, 0.0028, 0.5314, 0.0025, 0.5132, 0.0028, 0.5901000000000001, 0.0026000000000000003, 0.6064, 0.8103, 0.0018000000000000002, 0.0011, 0.0004, 0.0024000000000000002, 0.0039000000000000003, 0.0029000000000000002, 0.003, 0.0028, 0.0089, 0.0024000000000000002, 0.0091, 0.0028, 0.0066, 0.0026000000000000003, 0.0008, 0.8089000000000001, 0.0025, -0.5933, -0.5791000000000001, -0.5268, -0.4943, -0.5725, -0.5852, 0.0146, 0.0053, 0.003, 0.01, 0.0036000000000000003, 0.0047, 0.0038, 0.0098], \"bitstrings\": [\"11111111\", \"11111110\"], \"total_optimization_steps\": 80, \"probabilities\": [0.4758055424795522, 0.5241580930672332], \"optimization_time\": 19.75506067276001}","-0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(2)) + 1.5 * Z(4) + -0.25 * Z(0) + -2.0 * Z(5) + 0.25 * Z(1) + -0.5 * Z(3) + 0.75 * Z(7) + 0.25 * Z(2) + 0.0 * Z(6)",3,8,2,"{\"smallest_eigenvalues\": [-9.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.0, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0009) q[0];\nrz(0.4392) q[0];\nrx(0.0024) q[1];\nrz(0.5999) q[1];\nrx(0.0029) q[2];\nrz(0.592) q[2];\nrx(0.0028) q[3];\nrz(0.5314) q[3];\nrx(0.0025) q[4];\nrz(0.5132) q[4];\nrx(0.0028) q[5];\nrz(0.5901) q[5];\nrx(0.0026) q[6];\nrz(0.6064) q[6];\nrx(0.8103) q[7];\nrz(0.0018) q[7];\ncrz(0.0146) q[7], q[6];\ncrz(-0.5852) q[6], q[5];\ncrz(-0.5725) q[5], q[4];\ncrz(-0.4943) q[4], q[3];\ncrz(-0.5268) q[3], q[2];\ncrz(-0.5791) q[2], q[1];\ncrz(-0.5933) q[1], q[0];\nrx(0.0011) q[0];\nrz(0.0004) q[0];\nrx(0.0024) q[1];\nrz(0.0039) q[1];\nrx(0.0029) q[2];\nrz(0.003) q[2];\nrx(0.0028) q[3];\nrz(0.0089) q[3];\nrx(0.0024) q[4];\nrz(0.0091) q[4];\nrx(0.0028) q[5];\nrz(0.0066) q[5];\nrx(0.0026) q[6];\nrz(0.0008) q[6];\nrx(0.8089) q[7];\nrz(0.0025) q[7];\ncrz(0.0098) q[7], q[6];\ncrz(0.0038) q[6], q[5];\ncrz(0.0047) q[5], q[4];\ncrz(0.0036) q[4], q[3];\ncrz(0.01) q[3], q[2];\ncrz(0.003) q[2], q[1];\ncrz(0.0053) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x6) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\ncrz(x15) q[7], q[6];\ncrz(x16) q[6], q[5];\ncrz(x17) q[5], q[4];\ncrz(x18) q[4], q[3];\ncrz(x19) q[3], q[2];\ncrz(x20) q[2], q[1];\ncrz(x21) q[1], q[0];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x2) q[1];\nrz(x24) q[1];\nrx(x4) q[2];\nrz(x25) q[2];\nrx(x6) q[3];\nrz(x26) q[3];\nrx(x2) q[4];\nrz(x27) q[4];\nrx(x6) q[5];\nrz(x28) q[5];\nrx(x11) q[6];\nrz(x29) q[6];\nrx(x30) q[7];\nrz(x8) q[7];\ncrz(x31) q[7], q[6];\ncrz(x32) q[6], q[5];\ncrz(x33) q[5], q[4];\ncrz(x34) q[4], q[3];\ncrz(x35) q[3], q[2];\ncrz(x25) q[2], q[1];\ncrz(x36) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["644fdcaa9593488d274599db4ca916d0","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 9}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [42, 106], \"expectation_value\": -6.9614952973032445, \"params\": [0.13340000000000002, 0.1295, -0.0054, 0.0007, -0.0056, -0.0004, 0.8042, 0.7978000000000001, 0.8052, 0.8003, -0.0013000000000000002, -0.0022, 0.8091, 0.8058000000000001, 0.0076, -0.0004, 0.7995, 0.8037000000000001, 0.2992, 0.2967, -0.2859, 0.0082, 0.42250000000000004, 0.0088, -0.3683, 0.0041, -0.3537, 0.005200000000000001, 0.0011, 0.0074, -0.0022, 0.006900000000000001, -0.4164, 0.0071, -0.0018000000000000002, 0.0048000000000000004, -0.3655, 0.0036000000000000003, 0.0205, 0.0092], \"bitstrings\": [\"1111010101\", \"1110010101\"], \"total_optimization_steps\": 80, \"probabilities\": [0.06069660593714613, 0.06460337709419649], \"optimization_time\": 20.374867916107178}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.0 * Z(6) + -1.5 * Z(8) + -1.5 * Z(3) + -1.0 * Z(4) + -2.0 * Z(5) + -2.0 * Z(7) + -0.5 * Z(9)",13,10,1,"{\"smallest_eigenvalues\": [-9.0, -9.0, -9.0, -9.0, -9.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -8.0, \"smallest_bitstrings\": [\"1110010101\", \"0111001011\", \"0111101010\", \"1011110100\", \"1001110110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.1334) q[0];\nry(-0.0054) q[1];\nry(-0.0056) q[2];\nry(0.8042) q[3];\nry(0.8052) q[4];\nry(-0.0013) q[5];\nry(0.8091) q[6];\nry(0.0076) q[7];\nry(0.7995) q[8];\nry(0.2992) q[9];\ncrz(-0.2859) q[9], q[0];\ncrz(0.0205) q[8], q[9];\ncrz(-0.3655) q[7], q[8];\ncrz(-0.0018) q[6], q[7];\ncrz(-0.4164) q[5], q[6];\ncrz(-0.0022) q[4], q[5];\ncrz(0.0011) q[3], q[4];\ncrz(-0.3537) q[2], q[3];\ncrz(-0.3683) q[1], q[2];\ncrz(0.4225) q[0], q[1];\nry(0.1295) q[0];\nry(0.0007) q[1];\nry(-0.0004) q[2];\nry(0.7978) q[3];\nry(0.8003) q[4];\nry(-0.0022) q[5];\nry(0.8058) q[6];\nry(-0.0004) q[7];\nry(0.8037) q[8];\nry(0.2967) q[9];\ncrz(0.0082) q[9], q[8];\ncrz(0.0088) q[0], q[9];\ncrz(0.0041) q[0], q[1];\ncrz(0.0052) q[1], q[2];\ncrz(0.0074) q[2], q[3];\ncrz(0.0069) q[3], q[4];\ncrz(0.0071) q[4], q[5];\ncrz(0.0048) q[5], q[6];\ncrz(0.0036) q[6], q[7];\ncrz(0.0092) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncrz(x10) q[9], q[0];\ncrz(x11) q[8], q[9];\ncrz(x12) q[7], q[8];\ncrz(x13) q[6], q[7];\ncrz(x14) q[5], q[6];\ncrz(x15) q[4], q[5];\ncrz(x16) q[3], q[4];\ncrz(x17) q[2], q[3];\ncrz(x18) q[1], q[2];\ncrz(x19) q[0], q[1];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x15) q[5];\nry(x25) q[6];\nry(x22) q[7];\nry(x26) q[8];\nry(x27) q[9];\ncrz(x28) q[9], q[8];\ncrz(x29) q[0], q[9];\ncrz(x30) q[0], q[1];\ncrz(x31) q[1], q[2];\ncrz(x32) q[2], q[3];\ncrz(x33) q[3], q[4];\ncrz(x34) q[4], q[5];\ncrz(x35) q[5], q[6];\ncrz(x36) q[6], q[7];\ncrz(x37) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["9fd2b9433a66405e1d6eb93b4b7e823c","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 5}, {\"weight\": 20, \"source\": 0, \"target\": 7}, {\"weight\": 1, \"source\": 1, \"target\": 6}, {\"weight\": 19, \"source\": 1, \"target\": 8}, {\"weight\": 6, \"source\": 2, \"target\": 7}, {\"weight\": 13, \"source\": 2, \"target\": 5}, {\"weight\": 9, \"source\": 3, \"target\": 8}, {\"weight\": 15, \"source\": 3, \"target\": 11}, {\"weight\": 20, \"source\": 3, \"target\": 6}, {\"weight\": 8, \"source\": 4, \"target\": 9}]}","{\"states\": [366, 364], \"expectation_value\": -77.76238706549331, \"params\": [0.46640000000000004, 0.6985, 1.4043, 0.2969, 0.2225, 0.7753, 1.3965, 0.0005, 1.3994, 0.3658, 0.3886, 0.6725, 0.9988, -0.2235, 1.403, -0.1545, 0.7842, -0.3509, 0.0027, 1.0361, 0.4637, 0.0013000000000000002, 1.4007, 0.0091, 0.2283, 0.0004, 1.4037000000000002, 0.0045000000000000005, 1.4027, 0.0071, 0.39280000000000004, 0.007, 1.08, 0.0068000000000000005, 1.3961000000000001, 0.0076, 0.7798, 0.0019, 0.0028, 0.006200000000000001, -1.0161, 0.6826, 0.6085, 0.7949, 0.0055000000000000005, 0.7348, -0.5892000000000001, -0.060700000000000004, -0.34990000000000004, 0.3564, 0.0085, 0.0025, 0.0036000000000000003, 0.009300000000000001, 0.0048000000000000004, 0.0059, 0.0083, 0.0014, 0.0053, 0.001], \"bitstrings\": [\"1010010001\", \"1010010011\"], \"total_optimization_steps\": 140, \"probabilities\": [0.2009698952753181, 0.2636811666410514], \"optimization_time\": 19.618969202041626}","7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 3.5 * Z(0) + 10.0 * Z(1) + 9.5 * Z(3) + 0.5 * Z(2) + 6.5 * Z(4) + 3.0 * Z(5) + 11.5 * Z(8) + 17.0 * Z(7) + 7.5 * Z(6) + -10.0 * Z(9)",18,10,2,"{\"smallest_eigenvalues\": [-98.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -92.0, \"smallest_bitstrings\": [\"1010010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.4664) q[0];\nrz(0.6985) q[0];\nrx(1.4043) q[1];\nrz(0.2969) q[1];\nrx(0.2225) q[2];\nrz(0.7753) q[2];\nrx(1.3965) q[3];\nrz(0.0005) q[3];\nrx(1.3994) q[4];\nrz(0.3658) q[4];\nrx(0.3886) q[5];\nrz(0.6725) q[5];\nrx(0.9988) q[6];\nrz(-0.2235) q[6];\nrx(1.403) q[7];\nrz(-0.1545) q[7];\nrx(0.7842) q[8];\nrz(-0.3509) q[8];\nrx(0.0027) q[9];\nrz(1.0361) q[9];\ncrz(-1.0161) q[9], q[0];\ncrz(0.3564) q[8], q[9];\ncrz(-0.3499) q[7], q[8];\ncrz(-0.0607) q[6], q[7];\ncrz(-0.5892) q[5], q[6];\ncrz(0.7348) q[4], q[5];\ncrz(0.0055) q[3], q[4];\ncrz(0.7949) q[2], q[3];\ncrz(0.6085) q[1], q[2];\ncrz(0.6826) q[0], q[1];\nrx(0.4637) q[0];\nrz(0.0013) q[0];\nrx(1.4007) q[1];\nrz(0.0091) q[1];\nrx(0.2283) q[2];\nrz(0.0004) q[2];\nrx(1.4037) q[3];\nrz(0.0045) q[3];\nrx(1.4027) q[4];\nrz(0.0071) q[4];\nrx(0.3928) q[5];\nrz(0.007) q[5];\nrx(1.08) q[6];\nrz(0.0068) q[6];\nrx(1.3961) q[7];\nrz(0.0076) q[7];\nrx(0.7798) q[8];\nrz(0.0019) q[8];\nrx(0.0028) q[9];\nrz(0.0062) q[9];\ncrz(0.0085) q[9], q[0];\ncrz(0.001) q[8], q[9];\ncrz(0.0053) q[7], q[8];\ncrz(0.0014) q[6], q[7];\ncrz(0.0083) q[5], q[6];\ncrz(0.0059) q[4], q[5];\ncrz(0.0048) q[3], q[4];\ncrz(0.0093) q[2], q[3];\ncrz(0.0036) q[1], q[2];\ncrz(0.0025) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[9], q[0];\ncrz(x21) q[8], q[9];\ncrz(x22) q[7], q[8];\ncrz(x23) q[6], q[7];\ncrz(x24) q[5], q[6];\ncrz(x25) q[4], q[5];\ncrz(x26) q[3], q[4];\ncrz(x27) q[2], q[3];\ncrz(x28) q[1], q[2];\ncrz(x29) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nrx(x46) q[8];\nrz(x47) q[8];\nrx(x48) q[9];\nrz(x49) q[9];\ncrz(x50) q[9], q[0];\ncrz(x51) q[8], q[9];\ncrz(x52) q[7], q[8];\ncrz(x53) q[6], q[7];\ncrz(x54) q[5], q[6];\ncrz(x55) q[4], q[5];\ncrz(x56) q[3], q[4];\ncrz(x57) q[2], q[3];\ncrz(x58) q[1], q[2];\ncrz(x59) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4], \\\"right_nodes\\\": [5, 6, 7, 8, 9, 10, 11, 12]}\"}","{\"circuits\": [], \"gradients\": []}"]
["73d533dc900ade1f39f82d1daf03a1c8","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}]}","{\"states\": [9, 27], \"expectation_value\": -2.408830492592985, \"params\": [[0.046900000000000004, 0.0674, 0.0637, 0.0722], [-0.0029000000000000002, -0.0494, -0.0541, -0.0565]], \"bitstrings\": [\"1110110\", \"1100100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.023850966696917105, 0.024043118513079394], \"optimization_time\": 8.389113903045654}","-0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + 1.25 * Z(2) + 0.5 * Z(5) + 1.75 * Z(3) + 0.5 * Z(6)",1,7,4,"{\"smallest_eigenvalues\": [-10.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.75, \"smallest_bitstrings\": [\"1100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0704) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(-0.0469) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0704) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(-0.0469) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(-0.0469) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(-0.0469) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(-0.0704) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(-0.0938) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(0.1642) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(-0.0235) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0235) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(-0.0704) q[6];\ncx q[3], q[6];\nrz(-0.258) q[1];\nrz(-0.0235) q[0];\nrz(-0.0938) q[4];\nrz(0.1173) q[2];\nrz(0.0469) q[5];\nrz(0.1642) q[3];\nrz(0.0469) q[6];\nh q[0];\nrz(-0.0058) q[0];\nh q[0];\nh q[1];\nrz(-0.0058) q[1];\nh q[1];\nh q[2];\nrz(-0.0058) q[2];\nh q[2];\nh q[3];\nrz(-0.0058) q[3];\nh q[3];\nh q[4];\nrz(-0.0058) q[4];\nh q[4];\nh q[5];\nrz(-0.0058) q[5];\nh q[5];\nh q[6];\nrz(-0.0058) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.1011) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(-0.0674) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1011) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(-0.0674) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(-0.0674) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(-0.0674) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(-0.1011) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(-0.1348) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(0.2359) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(-0.0337) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0337) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(-0.1011) q[6];\ncx q[3], q[6];\nrz(-0.3707) q[1];\nrz(-0.0337) q[0];\nrz(-0.1348) q[4];\nrz(0.1685) q[2];\nrz(0.0674) q[5];\nrz(0.2359) q[3];\nrz(0.0674) q[6];\nh q[0];\nrz(-0.0988) q[0];\nh q[0];\nh q[1];\nrz(-0.0988) q[1];\nh q[1];\nh q[2];\nrz(-0.0988) q[2];\nh q[2];\nh q[3];\nrz(-0.0988) q[3];\nh q[3];\nh q[4];\nrz(-0.0988) q[4];\nh q[4];\nh q[5];\nrz(-0.0988) q[5];\nh q[5];\nh q[6];\nrz(-0.0988) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0956) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(-0.0637) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0956) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(-0.0637) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(-0.0637) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(-0.0637) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(-0.0956) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(-0.1274) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(0.223) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(-0.0319) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0319) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(-0.0956) q[6];\ncx q[3], q[6];\nrz(-0.3504) q[1];\nrz(-0.0319) q[0];\nrz(-0.1274) q[4];\nrz(0.1593) q[2];\nrz(0.0637) q[5];\nrz(0.223) q[3];\nrz(0.0637) q[6];\nh q[0];\nrz(-0.1082) q[0];\nh q[0];\nh q[1];\nrz(-0.1082) q[1];\nh q[1];\nh q[2];\nrz(-0.1082) q[2];\nh q[2];\nh q[3];\nrz(-0.1082) q[3];\nh q[3];\nh q[4];\nrz(-0.1082) q[4];\nh q[4];\nh q[5];\nrz(-0.1082) q[5];\nh q[5];\nh q[6];\nrz(-0.1082) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.1083) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(-0.0722) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1083) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(-0.0722) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(-0.0722) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(-0.0722) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(-0.1083) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(-0.1444) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(0.2527) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(-0.0361) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0361) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(-0.1083) q[6];\ncx q[3], q[6];\nrz(-0.3971) q[1];\nrz(-0.0361) q[0];\nrz(-0.1444) q[4];\nrz(0.1805) q[2];\nrz(0.0722) q[5];\nrz(0.2527) q[3];\nrz(0.0722) q[6];\nh q[0];\nrz(-0.113) q[0];\nh q[0];\nh q[1];\nrz(-0.113) q[1];\nh q[1];\nh q[2];\nrz(-0.113) q[2];\nh q[2];\nh q[3];\nrz(-0.113) q[3];\nh q[3];\nh q[4];\nrz(-0.113) q[4];\nh q[4];\nh q[5];\nrz(-0.113) q[5];\nh q[5];\nh q[6];\nrz(-0.113) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x4) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x4) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\nrz(x5) q[1];\nrz(x4) q[0];\nrz(x2) q[4];\nrz(x6) q[2];\nrz(x7) q[5];\nrz(x3) q[3];\nrz(x7) q[6];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x10) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(x12) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x13) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x13) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\nrz(x14) q[1];\nrz(x13) q[0];\nrz(x11) q[4];\nrz(x15) q[2];\nrz(x16) q[5];\nrz(x12) q[3];\nrz(x16) q[6];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x19) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x18) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(x19) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x19) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(x19) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x18) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(x20) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(x21) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x22) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x22) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x18) q[6];\ncx q[3], q[6];\nrz(x23) q[1];\nrz(x22) q[0];\nrz(x20) q[4];\nrz(x24) q[2];\nrz(x25) q[5];\nrz(x21) q[3];\nrz(x25) q[6];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x27) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x28) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x27) q[4];\ncx q[0], q[4];\ncx q[1], q[2];\nrz(x28) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x28) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(x28) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x27) q[5];\ncx q[2], q[5];\ncx q[1], q[3];\nrz(x29) q[3];\ncx q[1], q[3];\ncx q[0], q[6];\nrz(x30) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x31) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x31) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x27) q[6];\ncx q[3], q[6];\nrz(x32) q[1];\nrz(x31) q[0];\nrz(x29) q[4];\nrz(x33) q[2];\nrz(x34) q[5];\nrz(x30) q[3];\nrz(x34) q[6];\nh q[0];\nrz(x35) q[0];\nh q[0];\nh q[1];\nrz(x35) q[1];\nh q[1];\nh q[2];\nrz(x35) q[2];\nh q[2];\nh q[3];\nrz(x35) q[3];\nh q[3];\nh q[4];\nrz(x35) q[4];\nh q[4];\nh q[5];\nrz(x35) q[5];\nh q[5];\nh q[6];\nrz(x35) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["eedfffae46889ceabb09be93decddfde","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [75, 27], \"expectation_value\": -4.29062642298981, \"params\": null, \"bitstrings\": [\"0110100\", \"1100100\"], \"total_optimization_steps\": 50, \"probabilities\": [0.047690857277397795, 0.8614514270561976], \"optimization_time\": 50.380123138427734}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(4)",1,7,2,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"1100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nry(-1.4449) q[6];\nry(1.4449) q[5];\ncry(-1.0398) q[3], q[4];\ncry(-1.0398) q[2], q[0];\nry(0.7022) q[3];\nry(0.7022) q[2];\nry(-0.4578) q[0];\ncry(0.497) q[5], q[2];\nry(-0.4578) q[4];\ncry(0.497) q[5], q[3];\ncry(-0.3761) q[5], q[0];\ncry(-0.3761) q[5], q[4];\ncry(0.2418) q[2], q[3];\ncry(0.2403) q[3], q[2];\ncry(-0.142) q[3], q[0];\ncry(-0.1416) q[2], q[4];\ncry(0.1078) q[2], q[5];\ncry(0.6327) q[2], q[6];\ncry(1.7583) q[3], q[6];\ncry(0.4531) q[5], q[6];\ncry(-0.0508) q[6], q[0];\ncry(-0.0481) q[6], q[4];\ncry(0.1009) q[6], q[2];\ncry(-0.1576) q[4], q[6];\ncry(0.0668) q[6], q[3];\ncry(-0.1295) q[0], q[6];\ncry(0.0354) q[4], q[2];\ncry(0.0144) q[3], q[5];\ncry(0.02) q[0], q[5];\ncry(0.0196) q[0], q[3];\ncry(-0.0129) q[0], q[4];\ncry(-0.0132) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":39056,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[5];\\ncry(-1.0398) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[5];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0398) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[5];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0398) q[2], q[0];\\nry(0.7022) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[5];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0398) q[2], q[0];\\nry(0.7022) q[3];\\nry(0.7022) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[5];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0398) q[2], q[0];\\nry(0.7022) q[3];\\nry(0.7022) q[2];\\nry(-0.4578) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[5];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0398) q[2], q[0];\\nry(0.7022) q[3];\\nry(0.7022) q[2];\\nry(-0.4578) q[0];\\ncry(0.497) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[5];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0398) q[2], q[0];\\nry(0.7022) q[3];\\nry(0.7022) q[2];\\nry(-0.4578) q[0];\\ncry(0.497) q[5], q[2];\\nry(-0.4578) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];"}}]
["97a25582d9da2a01a479d6704a1ea86e","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 8}, {\"source\": 6, \"target\": 9}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 10}]}","{\"states\": [1023, 1007], \"expectation_value\": -16.518092567603347, \"params\": [[[0.0026000000000000003, 3.1619], [0.0034000000000000002, 0.0027], [0.0035, -0.0031000000000000003], [0.0021000000000000003, 0.0027], [0.0021000000000000003, 0.002], [-1.6095000000000002, 0.002], [0.0022, 0.0021000000000000003], [0.0019, 0.0021000000000000003], [0.002, 0.0019], [0.0026000000000000003, 0.0025]]], \"bitstrings\": [\"0000000000\", \"0000010000\"], \"total_optimization_steps\": 320, \"probabilities\": [0.4805669587072594, 0.5193001888564401], \"optimization_time\": 7.44772481918335}","-2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(9) + 0.5 * Z(7) + 0.5 * Z(2) + -0.5 * Z(5)",15,10,1,"{\"smallest_eigenvalues\": [-17.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.0, \"smallest_bitstrings\": [\"0000010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.0026) q[0];\nry(0.0034) q[1];\nry(0.0035) q[2];\nry(0.0021) q[3];\nry(0.0021) q[4];\nry(-1.6095) q[5];\nry(0.0022) q[6];\nry(0.0019) q[7];\nry(0.002) q[8];\nry(0.0026) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(3.1619) q[0];\nry(0.0027) q[1];\nry(-0.0031) q[2];\nry(0.0027) q[3];\nry(0.002) q[4];\nry(0.002) q[5];\nry(0.0021) q[6];\nry(0.0021) q[7];\nry(0.0019) q[8];\nry(0.0025) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x3) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x6) q[7];\nry(x7) q[8];\nry(x0) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x9) q[3];\nry(x7) q[4];\nry(x7) q[5];\nry(x3) q[6];\nry(x3) q[7];\nry(x6) q[8];\nry(x11) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["fb6267fe9e00f958431b621d7db08da1","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 4}]}","{\"states\": [63, 1], \"expectation_value\": -0.413741076636501, \"params\": [[0.0227, 0.0466, 0.0699, 0.0814], [0.001, -0.0175, -0.0422, -0.0632]], \"bitstrings\": [\"1000000\", \"1111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01320073085860466, 0.014422378062842267], \"optimization_time\": 5.503614902496338}","-0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4)",1,7,4,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[5], q[0];\nrz(-0.0114) q[0];\ncx q[5], q[0];\ncx q[0], q[6];\nrz(0.0227) q[6];\ncx q[0], q[6];\ncx q[5], q[1];\nrz(-0.0114) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(-0.0114) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(-0.0341) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0227) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0114) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(-0.0227) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(-0.0227) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.0114) q[4];\ncx q[3], q[4];\nrz(0.0114) q[5];\nrz(-0.0114) q[0];\nrz(0.0227) q[6];\nrz(-0.0454) q[1];\nrz(0) q[2];\nrz(0.0114) q[3];\nrz(0.0114) q[4];\nh q[0];\nrz(0.002) q[0];\nh q[0];\nh q[1];\nrz(0.002) q[1];\nh q[1];\nh q[2];\nrz(0.002) q[2];\nh q[2];\nh q[3];\nrz(0.002) q[3];\nh q[3];\nh q[4];\nrz(0.002) q[4];\nh q[4];\nh q[5];\nrz(0.002) q[5];\nh q[5];\nh q[6];\nrz(0.002) q[6];\nh q[6];\ncx q[5], q[0];\nrz(-0.0233) q[0];\ncx q[5], q[0];\ncx q[0], q[6];\nrz(0.0466) q[6];\ncx q[0], q[6];\ncx q[5], q[1];\nrz(-0.0233) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(-0.0233) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(-0.0699) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0466) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0233) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(-0.0466) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(-0.0466) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.0233) q[4];\ncx q[3], q[4];\nrz(0.0233) q[5];\nrz(-0.0233) q[0];\nrz(0.0466) q[6];\nrz(-0.0932) q[1];\nrz(0) q[2];\nrz(0.0233) q[3];\nrz(0.0233) q[4];\nh q[0];\nrz(-0.035) q[0];\nh q[0];\nh q[1];\nrz(-0.035) q[1];\nh q[1];\nh q[2];\nrz(-0.035) q[2];\nh q[2];\nh q[3];\nrz(-0.035) q[3];\nh q[3];\nh q[4];\nrz(-0.035) q[4];\nh q[4];\nh q[5];\nrz(-0.035) q[5];\nh q[5];\nh q[6];\nrz(-0.035) q[6];\nh q[6];\ncx q[5], q[0];\nrz(-0.035) q[0];\ncx q[5], q[0];\ncx q[0], q[6];\nrz(0.0699) q[6];\ncx q[0], q[6];\ncx q[5], q[1];\nrz(-0.035) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(-0.035) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(-0.1048) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0699) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.035) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(-0.0699) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(-0.0699) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.035) q[4];\ncx q[3], q[4];\nrz(0.035) q[5];\nrz(-0.035) q[0];\nrz(0.0699) q[6];\nrz(-0.1398) q[1];\nrz(0) q[2];\nrz(0.035) q[3];\nrz(0.035) q[4];\nh q[0];\nrz(-0.0844) q[0];\nh q[0];\nh q[1];\nrz(-0.0844) q[1];\nh q[1];\nh q[2];\nrz(-0.0844) q[2];\nh q[2];\nh q[3];\nrz(-0.0844) q[3];\nh q[3];\nh q[4];\nrz(-0.0844) q[4];\nh q[4];\nh q[5];\nrz(-0.0844) q[5];\nh q[5];\nh q[6];\nrz(-0.0844) q[6];\nh q[6];\ncx q[5], q[0];\nrz(-0.0407) q[0];\ncx q[5], q[0];\ncx q[0], q[6];\nrz(0.0814) q[6];\ncx q[0], q[6];\ncx q[5], q[1];\nrz(-0.0407) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(-0.0407) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(-0.1221) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0814) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0407) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(-0.0814) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(-0.0814) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.0407) q[4];\ncx q[3], q[4];\nrz(0.0407) q[5];\nrz(-0.0407) q[0];\nrz(0.0814) q[6];\nrz(-0.1628) q[1];\nrz(0) q[2];\nrz(0.0407) q[3];\nrz(0.0407) q[4];\nh q[0];\nrz(-0.1264) q[0];\nh q[0];\nh q[1];\nrz(-0.1264) q[1];\nh q[1];\nh q[2];\nrz(-0.1264) q[2];\nh q[2];\nh q[3];\nrz(-0.1264) q[3];\nh q[3];\nh q[4];\nrz(-0.1264) q[4];\nh q[4];\nh q[5];\nrz(-0.1264) q[5];\nh q[5];\nh q[6];\nrz(-0.1264) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(x3) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(x3) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x4) q[5];\nrz(x0) q[0];\nrz(x1) q[6];\nrz(x5) q[1];\nrz(x6) q[2];\nrz(x4) q[3];\nrz(x4) q[4];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\ncx q[5], q[0];\nrz(x8) q[0];\ncx q[5], q[0];\ncx q[0], q[6];\nrz(x9) q[6];\ncx q[0], q[6];\ncx q[5], q[1];\nrz(x8) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x10) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(x11) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x8) q[4];\ncx q[3], q[4];\nrz(x12) q[5];\nrz(x8) q[0];\nrz(x9) q[6];\nrz(x13) q[1];\nrz(x6) q[2];\nrz(x12) q[3];\nrz(x12) q[4];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nh q[4];\nrz(x14) q[4];\nh q[4];\nh q[5];\nrz(x14) q[5];\nh q[5];\nh q[6];\nrz(x14) q[6];\nh q[6];\ncx q[5], q[0];\nrz(x14) q[0];\ncx q[5], q[0];\ncx q[0], q[6];\nrz(x15) q[6];\ncx q[0], q[6];\ncx q[5], q[1];\nrz(x14) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(x14) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x16) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x14) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(x10) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x14) q[4];\ncx q[3], q[4];\nrz(x17) q[5];\nrz(x14) q[0];\nrz(x15) q[6];\nrz(x18) q[1];\nrz(x6) q[2];\nrz(x17) q[3];\nrz(x17) q[4];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\ncx q[5], q[0];\nrz(x20) q[0];\ncx q[5], q[0];\ncx q[0], q[6];\nrz(x21) q[6];\ncx q[0], q[6];\ncx q[5], q[1];\nrz(x20) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(x20) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x22) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x23) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x20) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(x23) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(x23) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\nrz(x24) q[5];\nrz(x20) q[0];\nrz(x21) q[6];\nrz(x25) q[1];\nrz(x6) q[2];\nrz(x24) q[3];\nrz(x24) q[4];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["7027846492532526606","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[0, 1, 5], [0, 1, 2, 3, 4, 6, 7, 9], [9, 5], [8, 2, 7]]}","{\"states\": [938, 939], \"expectation_value\": -0.2594612632091118, \"params\": [0.8059000000000001, 0.018500000000000003, 0.7952, 0.0036000000000000003, 0.797, 0.0366, 0.7933, 0.0023, 0.8033, 0.042, 0.8057000000000001, 0.001, 0.7985, 0.136, 0.7939, 0.0082, 0.8019000000000001, 0.1063, 0.8054, 0.008700000000000001, 0.7975, 0.0366, 0.7936000000000001, 0.0063, 0.8045, 0.035500000000000004, 0.7962, 0.0055000000000000005, 0.8063, 0.048100000000000004, 0.7977000000000001, 0.0017000000000000001, 0.7973, 0.042300000000000004, 0.7919, 0.007500000000000001, 0.8023, -0.2595, 0.7762, 0.0028, 0.1512, 0.268, 0.25120000000000003, 0.7387, 0.25570000000000004, 0.7483000000000001, 0.16160000000000002, 0.7897000000000001, 0.2023, 0.012], \"bitstrings\": [\"0001010101\", \"0001010100\"], \"total_optimization_steps\": 80, \"probabilities\": [0.0491871393629343, 0.12915606382702088], \"optimization_time\": 18.970496892929077}","0.1845238095238095 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.017857142857142856 * (Z(2) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(1)) + 0.017857142857142856 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.017857142857142856 * (Z(4) @ Z(1)) + 0.017857142857142856 * (Z(4) @ Z(0)) + 0.017857142857142856 * (Z(4) @ Z(2)) + 0.017857142857142856 * (Z(4) @ Z(3)) + 0.017857142857142856 * (Z(6) @ Z(1)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.017857142857142856 * (Z(6) @ Z(2)) + 0.017857142857142856 * (Z(6) @ Z(3)) + 0.017857142857142856 * (Z(6) @ Z(4)) + 0.017857142857142856 * (Z(7) @ Z(1)) + 0.017857142857142856 * (Z(7) @ Z(0)) + 0.1845238095238095 * (Z(7) @ Z(2)) + 0.017857142857142856 * (Z(7) @ Z(3)) + 0.017857142857142856 * (Z(7) @ Z(4)) + 0.017857142857142856 * (Z(7) @ Z(6)) + 0.017857142857142856 * (Z(9) @ Z(1)) + 0.017857142857142856 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(5)) + 0.017857142857142856 * (Z(9) @ Z(2)) + 0.017857142857142856 * (Z(9) @ Z(3)) + 0.017857142857142856 * (Z(9) @ Z(4)) + 0.017857142857142856 * (Z(9) @ Z(6)) + 0.017857142857142856 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.2291666666666666 * Z(1) + 0.2291666666666666 * Z(0) + 0.16666666666666663 * Z(5) + 0.2291666666666666 * Z(2) + 0.06249999999999997 * Z(3) + 0.06249999999999997 * Z(4) + 0.06249999999999997 * Z(6) + 0.2291666666666666 * Z(7) + 0.06250000000000022 * Z(9) + 0.16666666666666666 * Z(8)",6,10,1,"{\"smallest_eigenvalues\": [-1.3452380952380953, -1.3452380952380953, -1.3452380952380953, -1.3452380952380953, -1.3452380952380953, -1.3452380952380953], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -1.345238095238095, \"smallest_bitstrings\": [\"0001010100\", \"0000110100\", \"0010011000\", \"0010110000\", \"0011010000\", \"0000011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.8059) q[0];\nrz(0.0185) q[0];\nrx(0.797) q[1];\nrz(0.0366) q[1];\nrx(0.8033) q[2];\nrz(0.042) q[2];\nrx(0.7985) q[3];\nrz(0.136) q[3];\nrx(0.8019) q[4];\nrz(0.1063) q[4];\nrx(0.7975) q[5];\nrz(0.0366) q[5];\nrx(0.8045) q[6];\nrz(0.0355) q[6];\nrx(0.8063) q[7];\nrz(0.0481) q[7];\nrx(0.7973) q[8];\nrz(0.0423) q[8];\nrx(0.8023) q[9];\nrz(-0.2595) q[9];\ncrx(0.2023) q[9], q[8];\ncrx(0.7897) q[9], q[7];\ncrx(0.1616) q[9], q[6];\ncrx(0.7483) q[9], q[5];\ncrx(0.2557) q[9], q[4];\ncrx(0.7387) q[9], q[3];\ncrx(0.2512) q[9], q[2];\ncrx(0.268) q[9], q[1];\ncrx(0.1512) q[9], q[0];\ncrx(0.012) q[8], q[9];\ncrx(0.7897) q[8], q[7];\ncrx(0.1616) q[8], q[6];\ncrx(0.7483) q[8], q[5];\ncrx(0.2557) q[8], q[4];\ncrx(0.7387) q[8], q[3];\ncrx(0.2512) q[8], q[2];\ncrx(0.268) q[8], q[1];\ncrx(0.1512) q[8], q[0];\ncrx(0.012) q[7], q[9];\ncrx(0.2023) q[7], q[8];\ncrx(0.1616) q[7], q[6];\ncrx(0.7483) q[7], q[5];\ncrx(0.2557) q[7], q[4];\ncrx(0.7387) q[7], q[3];\ncrx(0.2512) q[7], q[2];\ncrx(0.268) q[7], q[1];\ncrx(0.1512) q[7], q[0];\ncrx(0.012) q[6], q[9];\ncrx(0.2023) q[6], q[8];\ncrx(0.7897) q[6], q[7];\ncrx(0.7483) q[6], q[5];\ncrx(0.2557) q[6], q[4];\ncrx(0.7387) q[6], q[3];\ncrx(0.2512) q[6], q[2];\ncrx(0.268) q[6], q[1];\ncrx(0.1512) q[6], q[0];\ncrx(0.012) q[5], q[9];\ncrx(0.2023) q[5], q[8];\ncrx(0.7897) q[5], q[7];\ncrx(0.1616) q[5], q[6];\ncrx(0.2557) q[5], q[4];\ncrx(0.7387) q[5], q[3];\ncrx(0.2512) q[5], q[2];\ncrx(0.268) q[5], q[1];\ncrx(0.1512) q[5], q[0];\ncrx(0.012) q[4], q[9];\ncrx(0.2023) q[4], q[8];\ncrx(0.7897) q[4], q[7];\ncrx(0.1616) q[4], q[6];\ncrx(0.7483) q[4], q[5];\ncrx(0.7387) q[4], q[3];\ncrx(0.2512) q[4], q[2];\ncrx(0.268) q[4], q[1];\ncrx(0.1512) q[4], q[0];\ncrx(0.012) q[3], q[9];\ncrx(0.2023) q[3], q[8];\ncrx(0.7897) q[3], q[7];\ncrx(0.1616) q[3], q[6];\ncrx(0.7483) q[3], q[5];\ncrx(0.2557) q[3], q[4];\ncrx(0.2512) q[3], q[2];\ncrx(0.268) q[3], q[1];\ncrx(0.1512) q[3], q[0];\ncrx(0.012) q[2], q[9];\ncrx(0.2023) q[2], q[8];\ncrx(0.7897) q[2], q[7];\ncrx(0.1616) q[2], q[6];\ncrx(0.7483) q[2], q[5];\ncrx(0.2557) q[2], q[4];\ncrx(0.7387) q[2], q[3];\ncrx(0.268) q[2], q[1];\ncrx(0.1512) q[2], q[0];\ncrx(0.012) q[1], q[9];\ncrx(0.2023) q[1], q[8];\ncrx(0.7897) q[1], q[7];\ncrx(0.1616) q[1], q[6];\ncrx(0.7483) q[1], q[5];\ncrx(0.2557) q[1], q[4];\ncrx(0.7387) q[1], q[3];\ncrx(0.2512) q[1], q[2];\ncrx(0.1512) q[1], q[0];\ncrx(0.012) q[0], q[9];\ncrx(0.2023) q[0], q[8];\ncrx(0.7897) q[0], q[7];\ncrx(0.1616) q[0], q[6];\ncrx(0.7483) q[0], q[5];\ncrx(0.2557) q[0], q[4];\ncrx(0.7387) q[0], q[3];\ncrx(0.2512) q[0], q[2];\ncrx(0.268) q[0], q[1];\nrx(0.7952) q[0];\nrz(0.0036) q[0];\nrx(0.7933) q[1];\nrz(0.0023) q[1];\nrx(0.8057) q[2];\nrz(0.001) q[2];\nrx(0.7939) q[3];\nrz(0.0082) q[3];\nrx(0.8054) q[4];\nrz(0.0087) q[4];\nrx(0.7936) q[5];\nrz(0.0063) q[5];\nrx(0.7962) q[6];\nrz(0.0055) q[6];\nrx(0.7977) q[7];\nrz(0.0017) q[7];\nrx(0.7919) q[8];\nrz(0.0075) q[8];\nrx(0.7762) q[9];\nrz(0.0028) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x3) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrx(x19) q[9], q[8];\ncrx(x20) q[9], q[7];\ncrx(x21) q[9], q[6];\ncrx(x22) q[9], q[5];\ncrx(x23) q[9], q[4];\ncrx(x24) q[9], q[3];\ncrx(x25) q[9], q[2];\ncrx(x26) q[9], q[1];\ncrx(x27) q[9], q[0];\ncrx(x28) q[8], q[9];\ncrx(x20) q[8], q[7];\ncrx(x21) q[8], q[6];\ncrx(x22) q[8], q[5];\ncrx(x23) q[8], q[4];\ncrx(x24) q[8], q[3];\ncrx(x25) q[8], q[2];\ncrx(x26) q[8], q[1];\ncrx(x27) q[8], q[0];\ncrx(x28) q[7], q[9];\ncrx(x19) q[7], q[8];\ncrx(x21) q[7], q[6];\ncrx(x22) q[7], q[5];\ncrx(x23) q[7], q[4];\ncrx(x24) q[7], q[3];\ncrx(x25) q[7], q[2];\ncrx(x26) q[7], q[1];\ncrx(x27) q[7], q[0];\ncrx(x28) q[6], q[9];\ncrx(x19) q[6], q[8];\ncrx(x20) q[6], q[7];\ncrx(x22) q[6], q[5];\ncrx(x23) q[6], q[4];\ncrx(x24) q[6], q[3];\ncrx(x25) q[6], q[2];\ncrx(x26) q[6], q[1];\ncrx(x27) q[6], q[0];\ncrx(x28) q[5], q[9];\ncrx(x19) q[5], q[8];\ncrx(x20) q[5], q[7];\ncrx(x21) q[5], q[6];\ncrx(x23) q[5], q[4];\ncrx(x24) q[5], q[3];\ncrx(x25) q[5], q[2];\ncrx(x26) q[5], q[1];\ncrx(x27) q[5], q[0];\ncrx(x28) q[4], q[9];\ncrx(x19) q[4], q[8];\ncrx(x20) q[4], q[7];\ncrx(x21) q[4], q[6];\ncrx(x22) q[4], q[5];\ncrx(x24) q[4], q[3];\ncrx(x25) q[4], q[2];\ncrx(x26) q[4], q[1];\ncrx(x27) q[4], q[0];\ncrx(x28) q[3], q[9];\ncrx(x19) q[3], q[8];\ncrx(x20) q[3], q[7];\ncrx(x21) q[3], q[6];\ncrx(x22) q[3], q[5];\ncrx(x23) q[3], q[4];\ncrx(x25) q[3], q[2];\ncrx(x26) q[3], q[1];\ncrx(x27) q[3], q[0];\ncrx(x28) q[2], q[9];\ncrx(x19) q[2], q[8];\ncrx(x20) q[2], q[7];\ncrx(x21) q[2], q[6];\ncrx(x22) q[2], q[5];\ncrx(x23) q[2], q[4];\ncrx(x24) q[2], q[3];\ncrx(x26) q[2], q[1];\ncrx(x27) q[2], q[0];\ncrx(x28) q[1], q[9];\ncrx(x19) q[1], q[8];\ncrx(x20) q[1], q[7];\ncrx(x21) q[1], q[6];\ncrx(x22) q[1], q[5];\ncrx(x23) q[1], q[4];\ncrx(x24) q[1], q[3];\ncrx(x25) q[1], q[2];\ncrx(x27) q[1], q[0];\ncrx(x28) q[0], q[9];\ncrx(x19) q[0], q[8];\ncrx(x20) q[0], q[7];\ncrx(x21) q[0], q[6];\ncrx(x22) q[0], q[5];\ncrx(x23) q[0], q[4];\ncrx(x24) q[0], q[3];\ncrx(x25) q[0], q[2];\ncrx(x26) q[0], q[1];\nrx(x29) q[0];\nrz(x30) q[0];\nrx(x31) q[1];\nrz(x32) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["84c2e7811b337ff89f1f9fa11193e77f","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 8}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 7}, {\"capacity\": 3, \"source\": 3, \"target\": 9}, {\"capacity\": 1, \"source\": 4, \"target\": 8}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 8}, {\"capacity\": 3, \"source\": 5, \"target\": 9}, {\"capacity\": 3, \"source\": 6, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 7}, {\"capacity\": 2, \"source\": 8, \"target\": 5}, {\"capacity\": 1, \"source\": 8, \"target\": 9}, {\"capacity\": 1, \"source\": 8, \"target\": 11}, {\"capacity\": 1, \"source\": 9, \"target\": 2}, {\"capacity\": 1, \"source\": 9, \"target\": 3}, {\"capacity\": 1, \"source\": 9, \"target\": 10}, {\"capacity\": 1, \"source\": 10, \"target\": 9}]}","{\"states\": [0, 256], \"expectation_value\": -9.792769444160383, \"params\": [-0.008, -0.0085, 0.008700000000000001, 0.0025, -0.0007, 0.0044, 0.1975, 0.19820000000000002, 0.0038, 0.0034000000000000002, 0.0032, 0.0066, 0.0047, 0.0017000000000000001, 0.0037, 0.0013000000000000002, 0.1582, 0.1683, 0.0026000000000000003, 0.0017000000000000001, 0.0049, 0.006200000000000001, -0.0001, 0.008, -0.0024000000000000002, -0.006, 0.0025, 0.0001, 0.0038, 0.0033, 0.20040000000000002, 0.19740000000000002, 0.002, 0.001, -0.0004, 0.0028, -0.0002, 0.0058000000000000005, 0.0034000000000000002, 0.0012000000000000001, 0.166, 0.1728, 0.0056, 0.0022, 0.0077, 0.0026000000000000003, 0.0036000000000000003, 0.0016, -0.007200000000000001, -0.0021000000000000003, 0.0016, 0.0032, 0.0022, 0.0043, 0.198, 0.20170000000000002, 0.006200000000000001, 0.0018000000000000002, 0.0013000000000000002, -0.0018000000000000002, 0.0046, 0.0001, 0.0034000000000000002, 0.0021000000000000003, 0.1694, 0.1744, 0.0056, -0.0008, 0.0046, -0.0015, 0.0038, 0.00030000000000000003, 0.0181, 0.0161, 0.0036000000000000003, 0.0029000000000000002, 0.0049, -0.0001, 0.2054, 0.2039, 0.0085, -0.0001, 0.004200000000000001, 0.0023, 0.003, 0.0057, 0.0022, 0.0018000000000000002, 0.1782, 0.1769, -0.0025, 0.005200000000000001, -0.0016, -0.0007, 0.008400000000000001, -0.0008, 0.1386, -0.1341, -0.0025, -0.0511, 0.06330000000000001, -0.0032, 0.1534, 0.11800000000000001, -0.0013000000000000002, 0.1689, 0.1574, -0.0019, 0.1618, 0.16340000000000002, 0.1558, 0.1217, 0.14850000000000002, 0.1565, -0.0033, 0.1554, -0.16, 0.0018000000000000002, -0.1202, -0.1476, 0.1202, -0.1062, -0.012400000000000001, -0.028, 0.1287, -0.0032, 0.1647, 0.1506, -0.0014, 0.1685, 0.1598, -0.0011, 0.1583, 0.1625, 0.15940000000000001, 0.1577, 0.159, 0.1422, 0.0009000000000000001, 0.1628, -0.1297, 0.0041, -0.062, -0.08940000000000001, 0.0954, -0.068, -0.0054, 0.030000000000000002, 0.1338, -0.0059, 0.16240000000000002, 0.12140000000000001, -0.001, 0.16190000000000002, 0.164, -0.0025, 0.1637, 0.061000000000000006, 0.1247, 0.1631, 0.1575, 0.048100000000000004, -0.0045000000000000005, 0.155, -0.028800000000000003, -0.0041, 0.021500000000000002, 0.024, 0.064, 0.069, -0.0152, 0.08610000000000001, -0.0758, 0.0063, 0.1647, -0.10830000000000001, -0.0027, 0.16840000000000002, -0.0368, -0.0006000000000000001, 0.16870000000000002, -0.1494, -0.10690000000000001, -0.029400000000000003, 0.1615, -0.1283, -0.0043, 0.1003, 0.054, 0.0006000000000000001, 0.07010000000000001, 0.0608], \"bitstrings\": [\"111111111111\", \"111011111111\"], \"total_optimization_steps\": 20, \"probabilities\": [0.29143570716769024, 0.31041141509361725], \"optimization_time\": 26.21343421936035}","-0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(10)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(10)) + -0.25 * (Z(11) @ Z(4)) + -1.0 * (Z(7) @ Z(10)) + -0.5 * (Z(7) @ Z(4)) + -0.75 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(11)) + -0.75 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(9)) + 1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.5 * (Z(2) @ Z(11)) + 1.25 * Z(5) + -0.25 * Z(0) + -0.25 * Z(10) + -0.75 * Z(1) + -0.75 * Z(4) + -0.5 * Z(6) + -1.5 * Z(9) + -1.25 * Z(11) + 2.0 * Z(7) + 1.25 * Z(8) + 0.75 * Z(3) + 0.0 * Z(2)",14,12,4,"{\"smallest_eigenvalues\": [-11.25, -11.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -10.25, \"smallest_bitstrings\": [\"111011111111\", \"111011110111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.008) q[0];\nry(0.0087) q[1];\nry(-0.0007) q[2];\nry(0.1975) q[3];\nry(0.0038) q[4];\nry(0.0032) q[5];\nry(0.0047) q[6];\nry(0.0037) q[7];\nry(0.1582) q[8];\nry(0.0026) q[9];\nry(0.0049) q[10];\nry(-0.0001) q[11];\ncrx(0.1386) q[11], q[0];\ncrx(-0.1202) q[10], q[11];\ncrx(-0.16) q[9], q[10];\ncrx(-0.0033) q[8], q[9];\ncrx(0.1485) q[7], q[8];\ncrx(0.1558) q[6], q[7];\ncrx(0.1618) q[5], q[6];\ncrx(0.1574) q[4], q[5];\ncrx(-0.0013) q[3], q[4];\ncrx(0.1534) q[2], q[3];\ncrx(0.0633) q[1], q[2];\ncrx(-0.0025) q[0], q[1];\nry(-0.0085) q[0];\nry(0.0025) q[1];\nry(0.0044) q[2];\nry(0.1982) q[3];\nry(0.0034) q[4];\nry(0.0066) q[5];\nry(0.0017) q[6];\nry(0.0013) q[7];\nry(0.1683) q[8];\nry(0.0017) q[9];\nry(0.0062) q[10];\nry(0.008) q[11];\ncrx(-0.1341) q[11], q[10];\ncrx(-0.0511) q[0], q[11];\ncrx(-0.0032) q[0], q[1];\ncrx(0.118) q[1], q[2];\ncrx(0.1689) q[2], q[3];\ncrx(-0.0019) q[3], q[4];\ncrx(0.1634) q[4], q[5];\ncrx(0.1217) q[5], q[6];\ncrx(0.1565) q[6], q[7];\ncrx(0.1554) q[7], q[8];\ncrx(0.0018) q[8], q[9];\ncrx(-0.1476) q[9], q[10];\nry(-0.0024) q[0];\nry(0.0025) q[1];\nry(0.0038) q[2];\nry(0.2004) q[3];\nry(0.002) q[4];\nry(-0.0004) q[5];\nry(-0.0002) q[6];\nry(0.0034) q[7];\nry(0.166) q[8];\nry(0.0056) q[9];\nry(0.0077) q[10];\nry(0.0036) q[11];\ncrx(0.1202) q[11], q[0];\ncrx(-0.062) q[10], q[11];\ncrx(-0.1297) q[9], q[10];\ncrx(0.0009) q[8], q[9];\ncrx(0.159) q[7], q[8];\ncrx(0.1594) q[6], q[7];\ncrx(0.1583) q[5], q[6];\ncrx(0.1598) q[4], q[5];\ncrx(-0.0014) q[3], q[4];\ncrx(0.1647) q[2], q[3];\ncrx(0.1287) q[1], q[2];\ncrx(-0.0124) q[0], q[1];\nry(-0.006) q[0];\nry(0.0001) q[1];\nry(0.0033) q[2];\nry(0.1974) q[3];\nry(0.001) q[4];\nry(0.0028) q[5];\nry(0.0058) q[6];\nry(0.0012) q[7];\nry(0.1728) q[8];\nry(0.0022) q[9];\nry(0.0026) q[10];\nry(0.0016) q[11];\ncrx(-0.1062) q[11], q[10];\ncrx(-0.028) q[0], q[11];\ncrx(-0.0032) q[0], q[1];\ncrx(0.1506) q[1], q[2];\ncrx(0.1685) q[2], q[3];\ncrx(-0.0011) q[3], q[4];\ncrx(0.1625) q[4], q[5];\ncrx(0.1577) q[5], q[6];\ncrx(0.1422) q[6], q[7];\ncrx(0.1628) q[7], q[8];\ncrx(0.0041) q[8], q[9];\ncrx(-0.0894) q[9], q[10];\nry(-0.0072) q[0];\nry(0.0016) q[1];\nry(0.0022) q[2];\nry(0.198) q[3];\nry(0.0062) q[4];\nry(0.0013) q[5];\nry(0.0046) q[6];\nry(0.0034) q[7];\nry(0.1694) q[8];\nry(0.0056) q[9];\nry(0.0046) q[10];\nry(0.0038) q[11];\ncrx(0.0954) q[11], q[0];\ncrx(0.0215) q[10], q[11];\ncrx(-0.0288) q[9], q[10];\ncrx(-0.0045) q[8], q[9];\ncrx(0.1575) q[7], q[8];\ncrx(0.1247) q[6], q[7];\ncrx(0.1637) q[5], q[6];\ncrx(0.164) q[4], q[5];\ncrx(-0.001) q[3], q[4];\ncrx(0.1624) q[2], q[3];\ncrx(0.1338) q[1], q[2];\ncrx(-0.0054) q[0], q[1];\nry(-0.0021) q[0];\nry(0.0032) q[1];\nry(0.0043) q[2];\nry(0.2017) q[3];\nry(0.0018) q[4];\nry(-0.0018) q[5];\nry(0.0001) q[6];\nry(0.0021) q[7];\nry(0.1744) q[8];\nry(-0.0008) q[9];\nry(-0.0015) q[10];\nry(0.0003) q[11];\ncrx(-0.068) q[11], q[10];\ncrx(0.03) q[0], q[11];\ncrx(-0.0059) q[0], q[1];\ncrx(0.1214) q[1], q[2];\ncrx(0.1619) q[2], q[3];\ncrx(-0.0025) q[3], q[4];\ncrx(0.061) q[4], q[5];\ncrx(0.1631) q[5], q[6];\ncrx(0.0481) q[6], q[7];\ncrx(0.155) q[7], q[8];\ncrx(-0.0041) q[8], q[9];\ncrx(0.024) q[9], q[10];\nry(0.0181) q[0];\nry(0.0036) q[1];\nry(0.0049) q[2];\nry(0.2054) q[3];\nry(0.0085) q[4];\nry(0.0042) q[5];\nry(0.003) q[6];\nry(0.0022) q[7];\nry(0.1782) q[8];\nry(-0.0025) q[9];\nry(-0.0016) q[10];\nry(0.0084) q[11];\ncrx(0.064) q[11], q[0];\ncrx(0.0701) q[10], q[11];\ncrx(0.054) q[9], q[10];\ncrx(-0.0043) q[8], q[9];\ncrx(0.1615) q[7], q[8];\ncrx(-0.1069) q[6], q[7];\ncrx(0.1687) q[5], q[6];\ncrx(-0.0368) q[4], q[5];\ncrx(-0.0027) q[3], q[4];\ncrx(0.1647) q[2], q[3];\ncrx(-0.0758) q[1], q[2];\ncrx(-0.0152) q[0], q[1];\nry(0.0161) q[0];\nry(0.0029) q[1];\nry(-0.0001) q[2];\nry(0.2039) q[3];\nry(-0.0001) q[4];\nry(0.0023) q[5];\nry(0.0057) q[6];\nry(0.0018) q[7];\nry(0.1769) q[8];\nry(0.0052) q[9];\nry(-0.0007) q[10];\nry(-0.0008) q[11];\ncrx(0.069) q[11], q[10];\ncrx(0.0861) q[0], q[11];\ncrx(0.0063) q[0], q[1];\ncrx(-0.1083) q[1], q[2];\ncrx(0.1684) q[2], q[3];\ncrx(-0.0006) q[3], q[4];\ncrx(-0.1494) q[4], q[5];\ncrx(-0.0294) q[5], q[6];\ncrx(-0.1283) q[6], q[7];\ncrx(0.1003) q[7], q[8];\ncrx(0.0006) q[8], q[9];\ncrx(0.0608) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncrx(x12) q[11], q[0];\ncrx(x13) q[10], q[11];\ncrx(x14) q[9], q[10];\ncrx(x15) q[8], q[9];\ncrx(x16) q[7], q[8];\ncrx(x17) q[6], q[7];\ncrx(x18) q[5], q[6];\ncrx(x19) q[4], q[5];\ncrx(x20) q[3], q[4];\ncrx(x21) q[2], q[3];\ncrx(x22) q[1], q[2];\ncrx(x23) q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x32) q[8];\nry(x30) q[9];\nry(x33) q[10];\nry(x34) q[11];\ncrx(x35) q[11], q[10];\ncrx(x36) q[0], q[11];\ncrx(x37) q[0], q[1];\ncrx(x38) q[1], q[2];\ncrx(x39) q[2], q[3];\ncrx(x40) q[3], q[4];\ncrx(x41) q[4], q[5];\ncrx(x42) q[5], q[6];\ncrx(x43) q[6], q[7];\ncrx(x44) q[7], q[8];\ncrx(x45) q[8], q[9];\ncrx(x46) q[9], q[10];\nry(x47) q[0];\nry(x25) q[1];\nry(x4) q[2];\nry(x48) q[3];\nry(x49) q[4];\nry(x50) q[5];\nry(x51) q[6];\nry(x28) q[7];\nry(x52) q[8];\nry(x53) q[9];\nry(x54) q[10];\nry(x55) q[11];\ncrx(x56) q[11], q[0];\ncrx(x57) q[10], q[11];\ncrx(x58) q[9], q[10];\ncrx(x59) q[8], q[9];\ncrx(x60) q[7], q[8];\ncrx(x61) q[6], q[7];\ncrx(x62) q[5], q[6];\ncrx(x63) q[4], q[5];\ncrx(x64) q[3], q[4];\ncrx(x65) q[2], q[3];\ncrx(x66) q[1], q[2];\ncrx(x67) q[0], q[1];\nry(x68) q[0];\nry(x69) q[1];\nry(x70) q[2];\nry(x71) q[3];\nry(x72) q[4];\nry(x73) q[5];\nry(x74) q[6];\nry(x75) q[7];\nry(x76) q[8];\nry(x77) q[9];\nry(x9) q[10];\nry(x78) q[11];\ncrx(x79) q[11], q[10];\ncrx(x80) q[0], q[11];\ncrx(x37) q[0], q[1];\ncrx(x81) q[1], q[2];\ncrx(x82) q[2], q[3];\ncrx(x83) q[3], q[4];\ncrx(x84) q[4], q[5];\ncrx(x85) q[5], q[6];\ncrx(x86) q[6], q[7];\ncrx(x87) q[7], q[8];\ncrx(x88) q[8], q[9];\ncrx(x89) q[9], q[10];\nry(x90) q[0];\nry(x78) q[1];\nry(x77) q[2];\nry(x91) q[3];\nry(x33) q[4];\nry(x31) q[5];\nry(x92) q[6];\nry(x28) q[7];\nry(x93) q[8];\nry(x53) q[9];\nry(x92) q[10];\nry(x4) q[11];\ncrx(x94) q[11], q[0];\ncrx(x95) q[10], q[11];\ncrx(x96) q[9], q[10];\ncrx(x97) q[8], q[9];\ncrx(x98) q[7], q[8];\ncrx(x99) q[6], q[7];\ncrx(x100) q[5], q[6];\ncrx(x101) q[4], q[5];\ncrx(x102) q[3], q[4];\ncrx(x103) q[2], q[3];\ncrx(x104) q[1], q[2];\ncrx(x105) q[0], q[1];\nry(x106) q[0];\nry(x5) q[1];\nry(x107) q[2];\nry(x108) q[3];\nry(x45) q[4];\nry(x109) q[5];\nry(x69) q[6];\nry(x110) q[7];\nry(x111) q[8];\nry(x112) q[9];\nry(x113) q[10];\nry(x114) q[11];\ncrx(x115) q[11], q[10];\ncrx(x116) q[0], q[11];\ncrx(x117) q[0], q[1];\ncrx(x118) q[1], q[2];\ncrx(x119) q[2], q[3];\ncrx(x23) q[3], q[4];\ncrx(x120) q[4], q[5];\ncrx(x121) q[5], q[6];\ncrx(x122) q[6], q[7];\ncrx(x123) q[7], q[8];\ncrx(x124) q[8], q[9];\ncrx(x125) q[9], q[10];\nry(x126) q[0];\nry(x55) q[1];\nry(x10) q[2];\nry(x127) q[3];\nry(x128) q[4];\nry(x129) q[5];\nry(x130) q[6];\nry(x77) q[7];\nry(x131) q[8];\nry(x23) q[9];\nry(x132) q[10];\nry(x133) q[11];\ncrx(x134) q[11], q[0];\ncrx(x135) q[10], q[11];\ncrx(x136) q[9], q[10];\ncrx(x137) q[8], q[9];\ncrx(x138) q[7], q[8];\ncrx(x139) q[6], q[7];\ncrx(x140) q[5], q[6];\ncrx(x141) q[4], q[5];\ncrx(x142) q[3], q[4];\ncrx(x65) q[2], q[3];\ncrx(x143) q[1], q[2];\ncrx(x144) q[0], q[1];\nry(x145) q[0];\nry(x146) q[1];\nry(x11) q[2];\nry(x147) q[3];\nry(x11) q[4];\nry(x148) q[5];\nry(x149) q[6];\nry(x45) q[7];\nry(x150) q[8];\nry(x151) q[9];\nry(x2) q[10];\nry(x112) q[11];\ncrx(x152) q[11], q[10];\ncrx(x153) q[0], q[11];\ncrx(x154) q[0], q[1];\ncrx(x155) q[1], q[2];\ncrx(x156) q[2], q[3];\ncrx(x157) q[3], q[4];\ncrx(x158) q[4], q[5];\ncrx(x159) q[5], q[6];\ncrx(x160) q[6], q[7];\ncrx(x161) q[7], q[8];\ncrx(x162) q[8], q[9];\ncrx(x163) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["afc1e6ae0489b407103909fb8184f531","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [54, 55], \"expectation_value\": -0.23378392448568586, \"params\": [[-0.0799], [0.0782]], \"bitstrings\": [\"1001001\", \"1001000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009248750219154252, 0.00962538129629942], \"optimization_time\": 1.3415026664733887}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + -1.0 * Z(3)",1,7,1,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"1001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0799) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0799) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(-0.0799) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.0799) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.0799) q[6];\ncx q[0], q[6];\ncx q[2], q[3];\nrz(-0.0799) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.0799) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0799) q[3];\ncx q[5], q[3];\nrz(0) q[1];\nrz(0.3196) q[0];\nrz(0.0799) q[2];\nrz(0.0799) q[4];\nrz(0.0799) q[5];\nrz(0) q[6];\nrz(0.1598) q[3];\nh q[0];\nrz(0.1564) q[0];\nh q[0];\nh q[1];\nrz(0.1564) q[1];\nh q[1];\nh q[2];\nrz(0.1564) q[2];\nh q[2];\nh q[3];\nrz(0.1564) q[3];\nh q[3];\nh q[4];\nrz(0.1564) q[4];\nh q[4];\nh q[5];\nrz(0.1564) q[5];\nh q[5];\nh q[6];\nrz(0.1564) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x3) q[4];\nrz(x3) q[5];\nrz(x1) q[6];\nrz(x4) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["5453c2513a3015ff34fdf7af0c17d479","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 4}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 5, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [5, 7], \"expectation_value\": -3.4783427903867032, \"params\": [[[0.9867, 0.0083], [1.1656, 0.0068000000000000005], [1.1721000000000001, 0.0074], [1.1839, 0.0025], [1.5961, 0.0059], [1.5948, 0.0022], [1.6004, 0.0045000000000000005]]], \"bitstrings\": [\"1111010\", \"1111000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.033292231943903405, 0.03493296113881791], \"optimization_time\": 2.8595447540283203}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.5 * (Z(6) @ Z(1)) + 2.25 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -3.75 * Z(0) + -3.25 * Z(2) + -3.25 * Z(3) + -3.0 * Z(5) + -3.0 * Z(4) + -3.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-13.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.9867) q[0];\nrz(0.0083) q[0];\nrx(1.1656) q[1];\nrz(0.0068) q[1];\nrx(1.1721) q[2];\nrz(0.0074) q[2];\nrx(1.1839) q[3];\nrz(0.0025) q[3];\nrx(1.5961) q[4];\nrz(0.0059) q[4];\nrx(1.5948) q[5];\nrz(0.0022) q[5];\nrx(1.6004) q[6];\nrz(0.0045) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["79dbb46672568dd6da53fdf988683370","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 3}, {\"weight\": 20, \"source\": 0, \"target\": 6}, {\"weight\": 5, \"source\": 1, \"target\": 4}, {\"weight\": 20, \"source\": 1, \"target\": 6}, {\"weight\": 12, \"source\": 1, \"target\": 3}, {\"weight\": 2, \"source\": 2, \"target\": 5}, {\"weight\": 11, \"source\": 2, \"target\": 3}, {\"weight\": 13, \"source\": 2, \"target\": 4}]}","{\"states\": [180, 148], \"expectation_value\": -28.153409750582412, \"params\": [[[0.5955, -0.0011], [-0.0018000000000000002, 0.4631], [0.3846, -0.0892], [0.5947, -0.0011], [0.18150000000000002, -0.2073], [0.6002000000000001, 0.0021000000000000003], [0.1693, -0.2265], [0.185, 0.2053]], [[0.6011000000000001, -0.0012000000000000001], [-0.0031000000000000003, 0.463], [0.3917, -0.0892], [0.5992000000000001, -0.0011], [0.1859, -0.2069], [0.6015, 0.0021000000000000003], [0.1693, -0.22060000000000002], [0.1797, 0.2053]], [[0.5947, -0.0011], [-0.0023, 0.4475], [0.3819, -0.0893], [0.601, -0.0011], [0.1812, -0.2063], [0.597, 0.0021000000000000003], [0.1716, -0.2157], [0.1867, 0.20520000000000002]], [[0.5964, 0.0079], [-0.0021000000000000003, 0.0056], [0.38870000000000005, 0.004200000000000001], [0.5946, 0.0001], [0.1817, 0.0008], [0.5948, 0.0097], [0.17550000000000002, 0.0015], [0.1786, 0.0094]]], \"bitstrings\": [\"01001011\", \"01101011\"], \"total_optimization_steps\": 60, \"probabilities\": [0.21627795457056867, 0.231441005956403], \"optimization_time\": 5.618717908859253}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + -10.0 * Z(1) + 3.5 * Z(0) + -5.5 * Z(4) + 3.0 * Z(2) + 2.0 * Z(3) + 3.5 * Z(5) + -2.0 * Z(6) + -1.0 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-42.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -40.5, \"smallest_bitstrings\": [\"01101011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.5955) q[0];\nrz(-0.0011) q[0];\nrx(-0.0018) q[1];\nrz(0.4631) q[1];\nrx(0.3846) q[2];\nrz(-0.0892) q[2];\nrx(0.5947) q[3];\nrz(-0.0011) q[3];\nrx(0.1815) q[4];\nrz(-0.2073) q[4];\nrx(0.6002) q[5];\nrz(0.0021) q[5];\nrx(0.1693) q[6];\nrz(-0.2265) q[6];\nrx(0.185) q[7];\nrz(0.2053) q[7];\nrx(0.6011) q[0];\nrz(-0.0012) q[0];\nrx(-0.0031) q[1];\nrz(0.463) q[1];\nrx(0.3917) q[2];\nrz(-0.0892) q[2];\nrx(0.5992) q[3];\nrz(-0.0011) q[3];\nrx(0.1859) q[4];\nrz(-0.2069) q[4];\nrx(0.6015) q[5];\nrz(0.0021) q[5];\nrx(0.1693) q[6];\nrz(-0.2206) q[6];\nrx(0.1797) q[7];\nrz(0.2053) q[7];\nrx(0.5947) q[0];\nrz(-0.0011) q[0];\nrx(-0.0023) q[1];\nrz(0.4475) q[1];\nrx(0.3819) q[2];\nrz(-0.0893) q[2];\nrx(0.601) q[3];\nrz(-0.0011) q[3];\nrx(0.1812) q[4];\nrz(-0.2063) q[4];\nrx(0.597) q[5];\nrz(0.0021) q[5];\nrx(0.1716) q[6];\nrz(-0.2157) q[6];\nrx(0.1867) q[7];\nrz(0.2052) q[7];\nrx(0.5964) q[0];\nrz(0.0079) q[0];\nrx(-0.0021) q[1];\nrz(0.0056) q[1];\nrx(0.3887) q[2];\nrz(0.0042) q[2];\nrx(0.5946) q[3];\nrz(0.0001) q[3];\nrx(0.1817) q[4];\nrz(0.0008) q[4];\nrx(0.5948) q[5];\nrz(0.0097) q[5];\nrx(0.1755) q[6];\nrz(0.0015) q[6];\nrx(0.1786) q[7];\nrz(0.0094) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x1) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[0];\nrz(x16) q[0];\nrx(x17) q[1];\nrz(x18) q[1];\nrx(x19) q[2];\nrz(x5) q[2];\nrx(x20) q[3];\nrz(x1) q[3];\nrx(x21) q[4];\nrz(x22) q[4];\nrx(x23) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x24) q[6];\nrx(x25) q[7];\nrz(x14) q[7];\nrx(x6) q[0];\nrz(x1) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x1) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x10) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nrx(x36) q[7];\nrz(x37) q[7];\nrx(x38) q[0];\nrz(x39) q[0];\nrx(x40) q[1];\nrz(x41) q[1];\nrx(x42) q[2];\nrz(x43) q[2];\nrx(x44) q[3];\nrz(x45) q[3];\nrx(x46) q[4];\nrz(x47) q[4];\nrx(x48) q[5];\nrz(x49) q[5];\nrx(x50) q[6];\nrz(x51) q[6];\nrx(x52) q[7];\nrz(x53) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["1be342b7b9f0ab3ab6191bfa0f86ee00","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 4}, {\"weight\": 18, \"source\": 0, \"target\": 6}, {\"weight\": 1, \"source\": 1, \"target\": 5}, {\"weight\": 18, \"source\": 1, \"target\": 9}, {\"weight\": 7, \"source\": 2, \"target\": 6}, {\"weight\": 10, \"source\": 3, \"target\": 7}, {\"weight\": 11, \"source\": 3, \"target\": 4}, {\"weight\": 19, \"source\": 3, \"target\": 6}, {\"weight\": 16, \"source\": 3, \"target\": 8}]}","{\"states\": [175, 173], \"expectation_value\": -74.24721416491872, \"params\": [0.3632, 0.3816, 0.9917, 0.0035, -0.0033, 0.6906, 1.0037, -0.11320000000000001, 0.2932, -0.3461, 0.9918, -0.0099, 0.9915, 0.1051, 0.5538000000000001, 0.257, 0.9881000000000001, 0.2606, 0.3613, 0.3448, 1.0012, -0.0039000000000000003, -0.00030000000000000003, 0.6962, 0.9965, -0.1295, 0.29810000000000003, -0.3341, 0.992, 0.0171, 0.9905, 0.08410000000000001, 0.5515, 0.24070000000000003, 0.9826, 0.24500000000000002, 0.3577, 0.0098, 0.9978, 0.0001, -0.003, 0.0027, 1.0013, 0.0009000000000000001, 0.2968, 0.0055000000000000005, 0.9922000000000001, 0.0018000000000000002, 0.9872000000000001, 0.0051, 0.5537000000000001, 0.0001, 0.9854, 0.0036000000000000003, 0.3058, -0.09050000000000001, 0.0099, 0.28300000000000003, -0.23870000000000002, 0.328, -0.0098, 0.19770000000000001, 0.2495, 0.3262, 0.3337, 0.0117, 0.7123, -0.3114, -0.1724, 0.0118, 0.2338, 0.2394, 0.003, 0.004, 0.004200000000000001, 0.0055000000000000005, 0.0038, 0.0086, 0.0063, 0.0091, 0.0037], \"bitstrings\": [\"101010000\", \"101010010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.30657645700044245, 0.3309686846562797], \"optimization_time\": 39.203949213027954}","6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(8)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(8)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 15.0 * Z(1) + 4.5 * Z(0) + -5.5 * Z(2) + 3.0 * Z(3) + 3.5 * Z(4) + 14.0 * Z(8) + 11.0 * Z(7) + 17.5 * Z(5) + 27.5 * Z(6)",18,9,3,"{\"smallest_eigenvalues\": [-87.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -81.5, \"smallest_bitstrings\": [\"101010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.3632) q[0];\nrz(0.3816) q[0];\nrx(0.9917) q[1];\nrz(0.0035) q[1];\nrx(-0.0033) q[2];\nrz(0.6906) q[2];\nrx(1.0037) q[3];\nrz(-0.1132) q[3];\nrx(0.2932) q[4];\nrz(-0.3461) q[4];\nrx(0.9918) q[5];\nrz(-0.0099) q[5];\nrx(0.9915) q[6];\nrz(0.1051) q[6];\nrx(0.5538) q[7];\nrz(0.257) q[7];\nrx(0.9881) q[8];\nrz(0.2606) q[8];\ncrz(0.3058) q[8], q[0];\ncrz(0.2495) q[7], q[8];\ncrz(0.1977) q[6], q[7];\ncrz(-0.0098) q[5], q[6];\ncrz(0.328) q[4], q[5];\ncrz(-0.2387) q[3], q[4];\ncrz(0.283) q[2], q[3];\ncrz(0.0099) q[1], q[2];\ncrz(-0.0905) q[0], q[1];\nrx(0.3613) q[0];\nrz(0.3448) q[0];\nrx(1.0012) q[1];\nrz(-0.0039) q[1];\nrx(-0.0003) q[2];\nrz(0.6962) q[2];\nrx(0.9965) q[3];\nrz(-0.1295) q[3];\nrx(0.2981) q[4];\nrz(-0.3341) q[4];\nrx(0.992) q[5];\nrz(0.0171) q[5];\nrx(0.9905) q[6];\nrz(0.0841) q[6];\nrx(0.5515) q[7];\nrz(0.2407) q[7];\nrx(0.9826) q[8];\nrz(0.245) q[8];\ncrz(0.3262) q[8], q[0];\ncrz(0.2394) q[7], q[8];\ncrz(0.2338) q[6], q[7];\ncrz(0.0118) q[5], q[6];\ncrz(-0.1724) q[4], q[5];\ncrz(-0.3114) q[3], q[4];\ncrz(0.7123) q[2], q[3];\ncrz(0.0117) q[1], q[2];\ncrz(0.3337) q[0], q[1];\nrx(0.3577) q[0];\nrz(0.0098) q[0];\nrx(0.9978) q[1];\nrz(0.0001) q[1];\nrx(-0.003) q[2];\nrz(0.0027) q[2];\nrx(1.0013) q[3];\nrz(0.0009) q[3];\nrx(0.2968) q[4];\nrz(0.0055) q[4];\nrx(0.9922) q[5];\nrz(0.0018) q[5];\nrx(0.9872) q[6];\nrz(0.0051) q[6];\nrx(0.5537) q[7];\nrz(0.0001) q[7];\nrx(0.9854) q[8];\nrz(0.0036) q[8];\ncrz(0.003) q[8], q[0];\ncrz(0.0037) q[7], q[8];\ncrz(0.0091) q[6], q[7];\ncrz(0.0063) q[5], q[6];\ncrz(0.0086) q[4], q[5];\ncrz(0.0038) q[3], q[4];\ncrz(0.0055) q[2], q[3];\ncrz(0.0042) q[1], q[2];\ncrz(0.004) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\ncrz(x45) q[8], q[0];\ncrz(x46) q[7], q[8];\ncrz(x47) q[6], q[7];\ncrz(x48) q[5], q[6];\ncrz(x49) q[4], q[5];\ncrz(x50) q[3], q[4];\ncrz(x51) q[2], q[3];\ncrz(x52) q[1], q[2];\ncrz(x53) q[0], q[1];\nrx(x54) q[0];\nrz(x55) q[0];\nrx(x56) q[1];\nrz(x57) q[1];\nrx(x58) q[2];\nrz(x59) q[2];\nrx(x60) q[3];\nrz(x61) q[3];\nrx(x62) q[4];\nrz(x63) q[4];\nrx(x64) q[5];\nrz(x65) q[5];\nrx(x66) q[6];\nrz(x67) q[6];\nrx(x68) q[7];\nrz(x57) q[7];\nrx(x69) q[8];\nrz(x70) q[8];\ncrz(x71) q[8], q[0];\ncrz(x72) q[7], q[8];\ncrz(x73) q[6], q[7];\ncrz(x74) q[5], q[6];\ncrz(x75) q[4], q[5];\ncrz(x76) q[3], q[4];\ncrz(x63) q[2], q[3];\ncrz(x77) q[1], q[2];\ncrz(x78) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8, 9, 10]}\"}","{\"circuits\": [], \"gradients\": []}"]
["7f5a9dfb1e236bee4145d5b6dc87f612","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 2}]}","{\"states\": [61, 59], \"expectation_value\": -5.039686247725103, \"params\": [[[0.0022, 0.0016], [0.0051, -0.0063], [-0.6907, 2.2989], [1.5621, 1.5292000000000001], [0.5873, 1.5284], [2.2968, 0.37410000000000004], [-1.5691000000000002, 1.5665], [0.0025, 1.5751000000000002]]], \"bitstrings\": [\"11000010\", \"11000100\"], \"total_optimization_steps\": 230, \"probabilities\": [0.1708970796716914, 0.18055467191799943], \"optimization_time\": 9.847198247909546}","-0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0 * Z(7) + 0.5 * Z(4) + -1.5 * Z(0)",15,8,1,"{\"smallest_eigenvalues\": [-6.5, -6.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"10100100\", \"11000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.0022) q[0];\nry(0.0051) q[1];\nry(-0.6907) q[2];\nry(1.5621) q[3];\nry(0.5873) q[4];\nry(2.2968) q[5];\nry(-1.5691) q[6];\nry(0.0025) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0016) q[0];\nry(-0.0063) q[1];\nry(2.2989) q[2];\nry(1.5292) q[3];\nry(1.5284) q[4];\nry(0.3741) q[5];\nry(1.5665) q[6];\nry(1.5751) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["26d7f56e59bfdf48052023802b40605b","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [25, 28], \"expectation_value\": -2.999937482249151, \"params\": null, \"bitstrings\": [\"00110\", \"00011\"], \"total_optimization_steps\": 20, \"probabilities\": [1.635611710952993e-05, 0.9999687418118111], \"optimization_time\": 10.928578615188599}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2)",1,5,4,"{\"smallest_eigenvalues\": [-3.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"00011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[3];\nry(-1.4449) q[4];\nry(1.4449) q[0];\nry(1.4417) q[2];\nry(1.4417) q[1];\ncry(-0.1259) q[2], q[4];\ncry(0.1217) q[0], q[1];\ncry(0.1216) q[1], q[2];\ncry(0.1186) q[2], q[0];\ncry(-0.0027) q[2], q[3];\ncry(-0.0005) q[1], q[4];\ncry(0.0074) q[2], q[1];\ncry(0.0069) q[0], q[2];\ncry(0.0067) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5681) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[1];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[3];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.0052, 0.5023, 0.5005, 0.4962, 0.4959, 0.1916, 0.0631, 0.0633, 0.0617, 0.0086, 0.006, 0.006, 0.0045, 0.0045, 0.0038, 0.0034, 0.0031, 0.003, 0.003, 0.003]}"]
["e4c65d82be0d39aa5a43dd21b25413c9","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [52, 22], \"expectation_value\": -3.9964641631107405, \"params\": null, \"bitstrings\": [\"001011\", \"101001\"], \"total_optimization_steps\": 25, \"probabilities\": [0.06634837994155196, 0.9303663571669202], \"optimization_time\": 22.065721035003662}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"001011\", \"101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nry(-1.5681) q[5];\nry(1.4449) q[3];\nry(1.4449) q[1];\ncry(-1.0343) q[4], q[0];\nry(0.7003) q[4];\nry(-0.4549) q[0];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[0];\ncry(0.2489) q[1], q[4];\ncry(-0.1488) q[1], q[0];\ncry(0.118) q[3], q[1];\ncry(0.1156) q[1], q[3];\ncry(-0.0027) q[3], q[5];\ncry(-0.0227) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0227) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0227) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0227) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0227) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[5];\\nry(1.4449) q[3];\\nry(1.4449) q[1];\\ncry(-1.0343) q[4], q[0];\\nry(0.7003) q[4];\\nry(-0.4549) q[0];\\ncry(0.4963) q[3], q[4];\\ncry(-0.3789) q[3], q[0];\\ncry(0.2489) q[1], q[4];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[3], q[1];\\ncry(0.1156) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0227) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.5087, 1.0047, 0.5002, 0.5, 0.2509, 0.2452, 0.1886, 0.2237, 0.1882, 0.1273, 0.0785, 0.0612, 0.0601, 0.01, 0.0089, 0.0075, 0.0075, 0.0063, 0.005, 0.005, 0.0049, 0.0047, 0.0031, 0.0031, 0.0028]}"]
["e4cdc6bcf94181f6f6aa6dc310dcdb0a","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 1, \"target\": 6}, {\"weight\": 18, \"source\": 1, \"target\": 5}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 20, \"source\": 2, \"target\": 4}, {\"weight\": 15, \"source\": 3, \"target\": 6}, {\"weight\": 11, \"source\": 3, \"target\": 8}, {\"weight\": 10, \"source\": 4, \"target\": 5}, {\"weight\": 8, \"source\": 6, \"target\": 7}]}","{\"states\": [252, 220], \"expectation_value\": -66.1394079075553, \"params\": [0.1394, 0.11960000000000001, 0.6943, 0.038700000000000005, 0.8849, 0.018000000000000002, 1.0922, -0.44060000000000005, 1.0232, -0.2472, 0.9672000000000001, -0.047, 0.9358000000000001, 0.25620000000000004, 0.1973, -0.516, 0.0466, 0.5432, 0.1479, 0.0057, 0.9335, -0.0196, 0.8580000000000001, -0.0352, 1.0969, -0.4591, 1.0919, 0.0046, 0.9606, 0.0702, 0.8230000000000001, 0.2752, 0.1559, -0.5103, 0.0397, 0.5545, 0.15610000000000002, -0.056600000000000004, 0.7175, 0.0016, 0.886, 0.3849, 1.0976000000000001, -0.4561, 0.4862, 0.0829, 0.9029, -0.1477, 0.8737, 0.23140000000000002, 0.0864, -0.45680000000000004, 0.008400000000000001, 0.004200000000000001, -0.045700000000000005, -0.4444, 0.2043, -0.42710000000000004, -0.4282, -0.3355, 0.892, 0.8287, -0.1821, 0.41750000000000004, 0.42510000000000003, 0.7997000000000001, 0.40850000000000003, 0.075, 1.0491000000000001, 0.8111, -0.32130000000000003, 0.5538000000000001, 0.49110000000000004, 1.084, 0.45840000000000003, 0.42610000000000003, 0.8718, 0.091], \"bitstrings\": [\"100000011\", \"100100011\"], \"total_optimization_steps\": 110, \"probabilities\": [0.22593275175192828, 0.6159351404371979], \"optimization_time\": 12.489270210266113}","5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 16.0 * Z(2) + 4.0 * Z(0) + 14.0 * Z(1) + 10.0 * Z(4) + 9.0 * Z(3) + 5.5 * Z(6) + 17.5 * Z(5) + 5.0 * Z(7) + 4.0 * Z(8)",4,9,3,"{\"smallest_eigenvalues\": [-71.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -68.0, \"smallest_bitstrings\": [\"100100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.1394) q[0];\nrz(0.1196) q[0];\nrx(0.6943) q[1];\nrz(0.0387) q[1];\nrx(0.8849) q[2];\nrz(0.018) q[2];\nrx(1.0922) q[3];\nrz(-0.4406) q[3];\nrx(1.0232) q[4];\nrz(-0.2472) q[4];\nrx(0.9672) q[5];\nrz(-0.047) q[5];\nrx(0.9358) q[6];\nrz(0.2562) q[6];\nrx(0.1973) q[7];\nrz(-0.516) q[7];\nrx(0.0466) q[8];\nrz(0.5432) q[8];\ncrx(0.8287) q[8], q[7];\ncrx(0.892) q[7], q[6];\ncrx(-0.3355) q[6], q[5];\ncrx(-0.4282) q[5], q[4];\ncrx(-0.4271) q[4], q[3];\ncrx(0.2043) q[3], q[2];\ncrx(-0.4444) q[2], q[1];\ncrx(-0.0457) q[1], q[0];\nrx(0.1479) q[0];\nrz(0.0057) q[0];\nrx(0.9335) q[1];\nrz(-0.0196) q[1];\nrx(0.858) q[2];\nrz(-0.0352) q[2];\nrx(1.0969) q[3];\nrz(-0.4591) q[3];\nrx(1.0919) q[4];\nrz(0.0046) q[4];\nrx(0.9606) q[5];\nrz(0.0702) q[5];\nrx(0.823) q[6];\nrz(0.2752) q[6];\nrx(0.1559) q[7];\nrz(-0.5103) q[7];\nrx(0.0397) q[8];\nrz(0.5545) q[8];\ncrx(0.8111) q[8], q[7];\ncrx(1.0491) q[7], q[6];\ncrx(0.075) q[6], q[5];\ncrx(0.4085) q[5], q[4];\ncrx(0.7997) q[4], q[3];\ncrx(0.4251) q[3], q[2];\ncrx(0.4175) q[2], q[1];\ncrx(-0.1821) q[1], q[0];\nrx(0.1561) q[0];\nrz(-0.0566) q[0];\nrx(0.7175) q[1];\nrz(0.0016) q[1];\nrx(0.886) q[2];\nrz(0.3849) q[2];\nrx(1.0976) q[3];\nrz(-0.4561) q[3];\nrx(0.4862) q[4];\nrz(0.0829) q[4];\nrx(0.9029) q[5];\nrz(-0.1477) q[5];\nrx(0.8737) q[6];\nrz(0.2314) q[6];\nrx(0.0864) q[7];\nrz(-0.4568) q[7];\nrx(0.0084) q[8];\nrz(0.0042) q[8];\ncrx(0.091) q[8], q[7];\ncrx(0.8718) q[7], q[6];\ncrx(0.4261) q[6], q[5];\ncrx(0.4584) q[5], q[4];\ncrx(1.084) q[4], q[3];\ncrx(0.4911) q[3], q[2];\ncrx(0.5538) q[2], q[1];\ncrx(-0.3213) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrx(x18) q[8], q[7];\ncrx(x19) q[7], q[6];\ncrx(x20) q[6], q[5];\ncrx(x21) q[5], q[4];\ncrx(x22) q[4], q[3];\ncrx(x23) q[3], q[2];\ncrx(x24) q[2], q[1];\ncrx(x25) q[1], q[0];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x36) q[5];\nrz(x37) q[5];\nrx(x38) q[6];\nrz(x39) q[6];\nrx(x40) q[7];\nrz(x41) q[7];\nrx(x42) q[8];\nrz(x43) q[8];\ncrx(x44) q[8], q[7];\ncrx(x45) q[7], q[6];\ncrx(x46) q[6], q[5];\ncrx(x47) q[5], q[4];\ncrx(x48) q[4], q[3];\ncrx(x49) q[3], q[2];\ncrx(x50) q[2], q[1];\ncrx(x51) q[1], q[0];\nrx(x52) q[0];\nrz(x53) q[0];\nrx(x54) q[1];\nrz(x55) q[1];\nrx(x56) q[2];\nrz(x57) q[2];\nrx(x58) q[3];\nrz(x59) q[3];\nrx(x60) q[4];\nrz(x61) q[4];\nrx(x62) q[5];\nrz(x63) q[5];\nrx(x64) q[6];\nrz(x65) q[6];\nrx(x66) q[7];\nrz(x67) q[7];\nrx(x68) q[8];\nrz(x69) q[8];\ncrx(x70) q[8], q[7];\ncrx(x71) q[7], q[6];\ncrx(x72) q[6], q[5];\ncrx(x73) q[5], q[4];\ncrx(x74) q[4], q[3];\ncrx(x75) q[3], q[2];\ncrx(x76) q[2], q[1];\ncrx(x77) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 9}\"}","{\"circuits\": [], \"gradients\": []}"]
["b426b8aff164c6823b185eb6b091738d","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [52, 28], \"expectation_value\": -3.499900324058672, \"params\": null, \"bitstrings\": [\"001011\", \"100011\"], \"total_optimization_steps\": 26, \"probabilities\": [1.718749846806863e-05, 0.999950071326692], \"optimization_time\": 13.991117238998413}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-3.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[5];\nry(-1.4449) q[4];\nry(-1.4449) q[0];\nry(1.4417) q[3];\nry(1.4417) q[1];\nry(1.4384) q[2];\ncry(-0.1259) q[3], q[4];\ncry(-0.1259) q[2], q[0];\ncry(0.1246) q[3], q[2];\ncry(0.1218) q[2], q[1];\ncry(0.1214) q[1], q[3];\ncry(-0.0027) q[3], q[5];\ncry(-0.0005) q[3], q[0];\ncry(-0.0005) q[2], q[4];\ncry(0.0076) q[1], q[2];\ncry(0.0069) q[3], q[1];\ncry(0.0069) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0005) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0005) q[3], q[0];\\ncry(-0.0005) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0005) q[3], q[0];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0005) q[3], q[0];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[1], q[2];\\ncry(0.0069) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0005) q[3], q[0];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[1], q[2];\\ncry(0.0069) q[3], q[1];\\ncry(0.0069) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0005) q[3], q[0];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[1], q[2];\\ncry(0.0069) q[3], q[1];\\ncry(0.0069) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0005) q[3], q[0];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[1], q[2];\\ncry(0.0069) q[3], q[1];\\ncry(0.0069) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1246) q[3], q[2];\\ncry(0.1218) q[2], q[1];\\ncry(0.1214) q[1], q[3];\\ncry(-0.0027) q[3], q[5];\\ncry(-0.0005) q[3], q[0];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[1], q[2];\\ncry(0.0069) q[3], q[1];\\ncry(0.0069) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.0067, 0.5035, 0.5023, 0.4964, 0.4961, 0.4917, 0.1916, 0.1915, 0.0646, 0.0634, 0.0631, 0.0086, 0.006, 0.006, 0.006, 0.0045, 0.0045, 0.0045, 0.0038, 0.0038, 0.0035, 0.0031, 0.0031, 0.003, 0.003, 0.003]}"]
["9915ff93784d747e82bcd9a73a2399e5","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [28, 14], \"expectation_value\": -2.996464150018099, \"params\": null, \"bitstrings\": [\"00011\", \"10001\"], \"total_optimization_steps\": 19, \"probabilities\": [0.06634807398600236, 0.9303666439722974], \"optimization_time\": 10.742632150650024}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2)",1,5,4,"{\"smallest_eigenvalues\": [-3.0, -3.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"10001\", \"00011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[4];\nry(1.4449) q[2];\nry(1.4449) q[1];\ncry(-1.0342) q[3], q[0];\nry(0.7003) q[3];\nry(-0.4549) q[0];\ncry(0.4963) q[2], q[3];\ncry(-0.3789) q[2], q[0];\ncry(0.2489) q[1], q[3];\ncry(-0.1488) q[1], q[0];\ncry(0.118) q[2], q[1];\ncry(0.1156) q[1], q[2];\ncry(-0.0227) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0227) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.2489) q[1], q[3];\\ncry(-0.1488) q[1], q[0];\\ncry(0.118) q[2], q[1];\\ncry(0.1156) q[1], q[2];\\ncry(-0.0227) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [1.5065, 0.5002, 0.5, 0.2509, 0.2452, 0.1886, 0.2237, 0.1882, 0.1273, 0.0785, 0.0612, 0.0601, 0.01, 0.0075, 0.0075, 0.005, 0.005, 0.0049, 0.0028]}"]
["9645644fcb46d75a104e4de81b9201a7","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 5, \"target\": 1}]}","{\"states\": [106, 43], \"expectation_value\": -4.244391983267604, \"params\": null, \"bitstrings\": [\"0010101\", \"1010100\"], \"total_optimization_steps\": 28, \"probabilities\": [0.0019201550878499567, 0.9963308260200148], \"optimization_time\": 20.04091477394104}","-0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5)",1,7,2,"{\"smallest_eigenvalues\": [-4.25, -4.25, -4.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -3.25, \"smallest_bitstrings\": [\"1111110\", \"1111100\", \"1010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) q[3];\nry(1.4449) q[5];\ncry(1.4433) q[5], q[1];\nry(1.4449) q[6];\ncry(-1.5481) q[6], q[0];\nry(-1.4449) q[4];\ncry(-1.4408) q[3], q[2];\ncry(-0.1258) q[3], q[4];\ncry(0.0892) q[3], q[5];\ncry(0.089) q[3], q[6];\ncry(-0.1226) q[6], q[2];\nry(0.1236) q[1];\ncry(-0.0266) q[3], q[0];\ncry(-0.007) q[5], q[2];\ncry(0.0052) q[6], q[5];\ncry(-0.0001) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\ncry(0.0052) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\ncry(0.0052) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\ncry(0.0052) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\ncry(0.0052) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\ncry(0.0052) q[6], q[5];\\ncry(-0.0001) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\ncry(0.0052) q[6], q[5];\\ncry(-0.0001) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[3];\\nry(1.4449) q[5];\\ncry(1.4433) q[5], q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nry(-1.4449) q[4];\\ncry(-1.4408) q[3], q[2];\\ncry(-0.1258) q[3], q[4];\\ncry(0.0892) q[3], q[5];\\ncry(0.089) q[3], q[6];\\ncry(-0.1226) q[6], q[2];\\nry(0.1236) q[1];\\ncry(-0.0266) q[3], q[0];\\ncry(-0.007) q[5], q[2];\\ncry(0.0052) q[6], q[5];\\ncry(-0.0001) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.0055, 0.5022, 0.4981, 0.4971, 0.7457, 0.4972, 0.4946, 0.129, 0.0858, 0.0856, 0.0667, 0.0639, 0.0307, 0.0052, 0.0052, 0.005, 0.0042, 0.0042, 0.0041, 0.004, 0.004, 0.0033, 0.0032, 0.0032, 0.0031, 0.0031, 0.0031, 0.003]}"]
["3469748cd4dcce50adb557c4a78b9b74","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 6}, {\"weight\": 14, \"source\": 0, \"target\": 8}, {\"weight\": 7, \"source\": 1, \"target\": 7}, {\"weight\": 9, \"source\": 2, \"target\": 8}, {\"weight\": 9, \"source\": 3, \"target\": 9}, {\"weight\": 12, \"source\": 3, \"target\": 8}, {\"weight\": 2, \"source\": 4, \"target\": 10}, {\"weight\": 5, \"source\": 5, \"target\": 11}, {\"weight\": 16, \"source\": 5, \"target\": 13}, {\"weight\": 17, \"source\": 5, \"target\": 7}, {\"weight\": 11, \"source\": 5, \"target\": 12}]}","{\"states\": [839, 583], \"expectation_value\": -91.94972434471816, \"params\": [0.2796, -0.0058000000000000005, 0.8006000000000001, -0.0233, 0.5393, 0.29450000000000004, 0.3297, -0.23190000000000002, 0.8046000000000001, -0.0103, 0.1746, -0.3714, 0.0033, 0.5717, 0.42510000000000003, -0.23850000000000002, 0.796, -0.0722, 0.7885000000000001, 0.006900000000000001, 0.8026000000000001, -0.0023, 0.27540000000000003, 0.0223, 0.803, 0.06520000000000001, 0.5595, 0.31930000000000003, 0.3284, -0.22510000000000002, 0.8012, 0.0648, 0.1781, -0.4016, 0.0024000000000000002, 0.6096, 0.4279, -0.2592, 0.7788, 0.1134, 0.7874, 0.0118, 0.7947000000000001, -0.0044, 0.2757, -0.0103, 0.8044, -0.22540000000000002, 0.38230000000000003, 0.2605, 0.3023, -0.2558, 0.7978000000000001, -0.1322, 0.0678, -0.19310000000000002, 0.0041, 0.47750000000000004, 0.42300000000000004, -0.2937, 0.7585000000000001, 0.2121, 0.7948000000000001, -0.0088, 0.7939, 0.0051, 0.1285, 0.168, -0.5716, -0.5465, -0.22820000000000001, 0.5819, 0.0034000000000000002, -0.6735, -0.4178, -0.5464, -0.1467, 0.38670000000000004, 0.44270000000000004, -0.5926, 0.1386, 0.5914, 0.003, -0.1033, 0.0267, -0.0023, -0.7491, 0.5716, 0.1819, -0.1005, 0.4708, 0.1333, 0.0031000000000000003, 0.18460000000000001, 0.3776, 0.7794000000000001], \"bitstrings\": [\"10010111000\", \"10110111000\"], \"total_optimization_steps\": 80, \"probabilities\": [0.17396767733301519, 0.1972745943322457], \"optimization_time\": 15.319040298461914}","8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(2) @ Z(10)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + -5.0 * Z(0) + 15.0 * Z(1) + 4.5 * Z(3) + 14.0 * Z(4) + -3.5 * Z(5) + 13.5 * Z(8) + 10.5 * Z(7) + 24.5 * Z(10) + -4.5 * Z(2) + 16.0 * Z(9) + -15.0 * Z(6)",4,11,3,"{\"smallest_eigenvalues\": [-128.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -122.0, \"smallest_bitstrings\": [\"10110111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.2796) q[0];\nrz(-0.0058) q[0];\nrx(0.8006) q[1];\nrz(-0.0233) q[1];\nrx(0.5393) q[2];\nrz(0.2945) q[2];\nrx(0.3297) q[3];\nrz(-0.2319) q[3];\nrx(0.8046) q[4];\nrz(-0.0103) q[4];\nrx(0.1746) q[5];\nrz(-0.3714) q[5];\nrx(0.0033) q[6];\nrz(0.5717) q[6];\nrx(0.4251) q[7];\nrz(-0.2385) q[7];\nrx(0.796) q[8];\nrz(-0.0722) q[8];\nrx(0.7885) q[9];\nrz(0.0069) q[9];\nrx(0.8026) q[10];\nrz(-0.0023) q[10];\ncrx(-0.5464) q[10], q[9];\ncrx(-0.4178) q[9], q[8];\ncrx(-0.6735) q[8], q[7];\ncrx(0.0034) q[7], q[6];\ncrx(0.5819) q[6], q[5];\ncrx(-0.2282) q[5], q[4];\ncrx(-0.5465) q[4], q[3];\ncrx(-0.5716) q[3], q[2];\ncrx(0.168) q[2], q[1];\ncrx(0.1285) q[1], q[0];\nrx(0.2754) q[0];\nrz(0.0223) q[0];\nrx(0.803) q[1];\nrz(0.0652) q[1];\nrx(0.5595) q[2];\nrz(0.3193) q[2];\nrx(0.3284) q[3];\nrz(-0.2251) q[3];\nrx(0.8012) q[4];\nrz(0.0648) q[4];\nrx(0.1781) q[5];\nrz(-0.4016) q[5];\nrx(0.0024) q[6];\nrz(0.6096) q[6];\nrx(0.4279) q[7];\nrz(-0.2592) q[7];\nrx(0.7788) q[8];\nrz(0.1134) q[8];\nrx(0.7874) q[9];\nrz(0.0118) q[9];\nrx(0.7947) q[10];\nrz(-0.0044) q[10];\ncrx(-0.0023) q[10], q[9];\ncrx(0.0267) q[9], q[8];\ncrx(-0.1033) q[8], q[7];\ncrx(0.003) q[7], q[6];\ncrx(0.5914) q[6], q[5];\ncrx(0.1386) q[5], q[4];\ncrx(-0.5926) q[4], q[3];\ncrx(0.4427) q[3], q[2];\ncrx(0.3867) q[2], q[1];\ncrx(-0.1467) q[1], q[0];\nrx(0.2757) q[0];\nrz(-0.0103) q[0];\nrx(0.8044) q[1];\nrz(-0.2254) q[1];\nrx(0.3823) q[2];\nrz(0.2605) q[2];\nrx(0.3023) q[3];\nrz(-0.2558) q[3];\nrx(0.7978) q[4];\nrz(-0.1322) q[4];\nrx(0.0678) q[5];\nrz(-0.1931) q[5];\nrx(0.0041) q[6];\nrz(0.4775) q[6];\nrx(0.423) q[7];\nrz(-0.2937) q[7];\nrx(0.7585) q[8];\nrz(0.2121) q[8];\nrx(0.7948) q[9];\nrz(-0.0088) q[9];\nrx(0.7939) q[10];\nrz(0.0051) q[10];\ncrx(0.7794) q[10], q[9];\ncrx(0.3776) q[9], q[8];\ncrx(0.1846) q[8], q[7];\ncrx(0.0031) q[7], q[6];\ncrx(0.1333) q[6], q[5];\ncrx(0.4708) q[5], q[4];\ncrx(-0.1005) q[4], q[3];\ncrx(0.1819) q[3], q[2];\ncrx(0.5716) q[2], q[1];\ncrx(-0.7491) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrx(x22) q[10], q[9];\ncrx(x23) q[9], q[8];\ncrx(x24) q[8], q[7];\ncrx(x25) q[7], q[6];\ncrx(x26) q[6], q[5];\ncrx(x27) q[5], q[4];\ncrx(x28) q[4], q[3];\ncrx(x29) q[3], q[2];\ncrx(x30) q[2], q[1];\ncrx(x31) q[1], q[0];\nrx(x32) q[0];\nrz(x33) q[0];\nrx(x34) q[1];\nrz(x35) q[1];\nrx(x36) q[2];\nrz(x37) q[2];\nrx(x38) q[3];\nrz(x39) q[3];\nrx(x40) q[4];\nrz(x41) q[4];\nrx(x42) q[5];\nrz(x43) q[5];\nrx(x44) q[6];\nrz(x45) q[6];\nrx(x46) q[7];\nrz(x47) q[7];\nrx(x48) q[8];\nrz(x49) q[8];\nrx(x50) q[9];\nrz(x51) q[9];\nrx(x52) q[10];\nrz(x53) q[10];\ncrx(x21) q[10], q[9];\ncrx(x54) q[9], q[8];\ncrx(x55) q[8], q[7];\ncrx(x56) q[7], q[6];\ncrx(x57) q[6], q[5];\ncrx(x58) q[5], q[4];\ncrx(x59) q[4], q[3];\ncrx(x60) q[3], q[2];\ncrx(x61) q[2], q[1];\ncrx(x62) q[1], q[0];\nrx(x63) q[0];\nrz(x9) q[0];\nrx(x64) q[1];\nrz(x65) q[1];\nrx(x66) q[2];\nrz(x67) q[2];\nrx(x68) q[3];\nrz(x69) q[3];\nrx(x70) q[4];\nrz(x71) q[4];\nrx(x72) q[5];\nrz(x73) q[5];\nrx(x74) q[6];\nrz(x75) q[6];\nrx(x76) q[7];\nrz(x77) q[7];\nrx(x78) q[8];\nrz(x79) q[8];\nrx(x80) q[9];\nrz(x81) q[9];\nrx(x82) q[10];\nrz(x83) q[10];\ncrx(x84) q[10], q[9];\ncrx(x85) q[9], q[8];\ncrx(x86) q[8], q[7];\ncrx(x87) q[7], q[6];\ncrx(x88) q[6], q[5];\ncrx(x89) q[5], q[4];\ncrx(x90) q[4], q[3];\ncrx(x91) q[3], q[2];\ncrx(x92) q[2], q[1];\ncrx(x93) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["-3836552969264634220","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[0, 2], [9, 5], [0, 1], [1, 6], [8, 7], [1, 2], [8, 4], [8, 6], [1, 5], [6, 7], [9, 3], [4, 5], [5, 7], [0, 9], [3, 4], [0, 7], [8, 5], [0, 5], [9, 2], [4, 6], [3, 5]]}","{\"states\": [216, 728], \"expectation_value\": -2.20642005814069, \"params\": [0.8957, 0.0429, 0.8973000000000001, 0.0054, 0.5473, -0.06430000000000001, 0.48800000000000004, 0.0079, 0.9051, 0.053700000000000005, 0.9015000000000001, 0.0024000000000000002, 0.9045000000000001, 0.0442, 0.8944000000000001, 0.009000000000000001, 0.901, -0.0868, 0.6799000000000001, 0.0014, 0.9002, 0.0693, 0.8967, 0.0016, 0.8964000000000001, 0.075, 0.8938, 0.0077, 0.8944000000000001, -0.042800000000000005, 0.7158, 0.008, 0.8946000000000001, 0.0109, 0.8866, 0.0008, 0.8459, -0.0879, 0.6775, 0.0017000000000000001, -0.1463, -0.3304, 0.4676, -0.0932, -0.3405, 0.5415, 0.4153, -0.3597, -0.398, -0.2743], \"bitstrings\": [\"1100100111\", \"0100100111\"], \"total_optimization_steps\": 90, \"probabilities\": [0.05769446369023127, 0.07462770005411083], \"optimization_time\": 58.04380702972412}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(9) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(3)",6,10,1,"{\"smallest_eigenvalues\": [-5.5, -5.5, -5.5, -5.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0100100111\", \"1011011010\", \"1011011000\", \"0100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.8957) q[0];\nrz(0.0429) q[0];\nrx(0.5473) q[1];\nrz(-0.0643) q[1];\nrx(0.9051) q[2];\nrz(0.0537) q[2];\nrx(0.9045) q[3];\nrz(0.0442) q[3];\nrx(0.901) q[4];\nrz(-0.0868) q[4];\nrx(0.9002) q[5];\nrz(0.0693) q[5];\nrx(0.8964) q[6];\nrz(0.075) q[6];\nrx(0.8944) q[7];\nrz(-0.0428) q[7];\nrx(0.8946) q[8];\nrz(0.0109) q[8];\nrx(0.8459) q[9];\nrz(-0.0879) q[9];\ncrx(-0.398) q[9], q[8];\ncrx(-0.3597) q[9], q[7];\ncrx(0.4153) q[9], q[6];\ncrx(0.5415) q[9], q[5];\ncrx(-0.3405) q[9], q[4];\ncrx(-0.0932) q[9], q[3];\ncrx(0.4676) q[9], q[2];\ncrx(-0.3304) q[9], q[1];\ncrx(-0.1463) q[9], q[0];\ncrx(-0.2743) q[8], q[9];\ncrx(-0.3597) q[8], q[7];\ncrx(0.4153) q[8], q[6];\ncrx(0.5415) q[8], q[5];\ncrx(-0.3405) q[8], q[4];\ncrx(-0.0932) q[8], q[3];\ncrx(0.4676) q[8], q[2];\ncrx(-0.3304) q[8], q[1];\ncrx(-0.1463) q[8], q[0];\ncrx(-0.2743) q[7], q[9];\ncrx(-0.398) q[7], q[8];\ncrx(0.4153) q[7], q[6];\ncrx(0.5415) q[7], q[5];\ncrx(-0.3405) q[7], q[4];\ncrx(-0.0932) q[7], q[3];\ncrx(0.4676) q[7], q[2];\ncrx(-0.3304) q[7], q[1];\ncrx(-0.1463) q[7], q[0];\ncrx(-0.2743) q[6], q[9];\ncrx(-0.398) q[6], q[8];\ncrx(-0.3597) q[6], q[7];\ncrx(0.5415) q[6], q[5];\ncrx(-0.3405) q[6], q[4];\ncrx(-0.0932) q[6], q[3];\ncrx(0.4676) q[6], q[2];\ncrx(-0.3304) q[6], q[1];\ncrx(-0.1463) q[6], q[0];\ncrx(-0.2743) q[5], q[9];\ncrx(-0.398) q[5], q[8];\ncrx(-0.3597) q[5], q[7];\ncrx(0.4153) q[5], q[6];\ncrx(-0.3405) q[5], q[4];\ncrx(-0.0932) q[5], q[3];\ncrx(0.4676) q[5], q[2];\ncrx(-0.3304) q[5], q[1];\ncrx(-0.1463) q[5], q[0];\ncrx(-0.2743) q[4], q[9];\ncrx(-0.398) q[4], q[8];\ncrx(-0.3597) q[4], q[7];\ncrx(0.4153) q[4], q[6];\ncrx(0.5415) q[4], q[5];\ncrx(-0.0932) q[4], q[3];\ncrx(0.4676) q[4], q[2];\ncrx(-0.3304) q[4], q[1];\ncrx(-0.1463) q[4], q[0];\ncrx(-0.2743) q[3], q[9];\ncrx(-0.398) q[3], q[8];\ncrx(-0.3597) q[3], q[7];\ncrx(0.4153) q[3], q[6];\ncrx(0.5415) q[3], q[5];\ncrx(-0.3405) q[3], q[4];\ncrx(0.4676) q[3], q[2];\ncrx(-0.3304) q[3], q[1];\ncrx(-0.1463) q[3], q[0];\ncrx(-0.2743) q[2], q[9];\ncrx(-0.398) q[2], q[8];\ncrx(-0.3597) q[2], q[7];\ncrx(0.4153) q[2], q[6];\ncrx(0.5415) q[2], q[5];\ncrx(-0.3405) q[2], q[4];\ncrx(-0.0932) q[2], q[3];\ncrx(-0.3304) q[2], q[1];\ncrx(-0.1463) q[2], q[0];\ncrx(-0.2743) q[1], q[9];\ncrx(-0.398) q[1], q[8];\ncrx(-0.3597) q[1], q[7];\ncrx(0.4153) q[1], q[6];\ncrx(0.5415) q[1], q[5];\ncrx(-0.3405) q[1], q[4];\ncrx(-0.0932) q[1], q[3];\ncrx(0.4676) q[1], q[2];\ncrx(-0.1463) q[1], q[0];\ncrx(-0.2743) q[0], q[9];\ncrx(-0.398) q[0], q[8];\ncrx(-0.3597) q[0], q[7];\ncrx(0.4153) q[0], q[6];\ncrx(0.5415) q[0], q[5];\ncrx(-0.3405) q[0], q[4];\ncrx(-0.0932) q[0], q[3];\ncrx(0.4676) q[0], q[2];\ncrx(-0.3304) q[0], q[1];\nrx(0.8973) q[0];\nrz(0.0054) q[0];\nrx(0.488) q[1];\nrz(0.0079) q[1];\nrx(0.9015) q[2];\nrz(0.0024) q[2];\nrx(0.8944) q[3];\nrz(0.009) q[3];\nrx(0.6799) q[4];\nrz(0.0014) q[4];\nrx(0.8967) q[5];\nrz(0.0016) q[5];\nrx(0.8938) q[6];\nrz(0.0077) q[6];\nrx(0.7158) q[7];\nrz(0.008) q[7];\nrx(0.8866) q[8];\nrz(0.0008) q[8];\nrx(0.6775) q[9];\nrz(0.0017) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x14) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["-5903830051335657599","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 4, 6], [3, 7], [2, 3], [1, 3, 4], [3, 6], [0, 1, 3], [0, 5, 6], [1, 3, 5], [4, 5], [1, 2, 5], [0, 1, 6]]}","{\"states\": [103, 107], \"expectation_value\": -3.1739709174983863, \"params\": [0.446, 0.6212, 1.5679, 1.5676, 1.4648, 1.6727, -0.0027, -0.0026000000000000003, -0.8891, -0.8022, 0.6292, 2.4868, 1.6513, 1.5, 1.5430000000000001, 1.5663, 0.4451, 0.26280000000000003, 1.5967, 0.5108, 0.0013000000000000002, -0.0028, -0.0027, 0.0023, -1.5809, -0.0027, -0.9488000000000001, -0.2197, -0.3769, 2.6458, 0.5101, -0.005], \"bitstrings\": [\"10011000\", \"10010100\"], \"total_optimization_steps\": 310, \"probabilities\": [0.37637541530184226, 0.42358459062933645], \"optimization_time\": 10.730709791183472}","0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.33333333333333326 * Z(4) + 0.6666666666666666 * Z(0) + 0.5000000000000001 * Z(6) + 0.49999999999999956 * Z(3) + 0.0 * Z(7) + 0.16666666666666663 * Z(2) + 0.8333333333333333 * Z(1) + 0.4999999999999999 * Z(5)",14,8,1,"{\"smallest_eigenvalues\": [-3.333333333333334, -3.333333333333334], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.333333333333333, \"smallest_bitstrings\": [\"10010100\", \"00010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.446) q[0];\nry(1.5679) q[1];\nry(1.4648) q[2];\nry(-0.0027) q[3];\nry(-0.8891) q[4];\nry(0.6292) q[5];\nry(1.6513) q[6];\nry(1.543) q[7];\ncrx(0.4451) q[7], q[0];\ncrx(0.5101) q[6], q[7];\ncrx(-0.3769) q[5], q[6];\ncrx(-0.9488) q[4], q[5];\ncrx(-1.5809) q[3], q[4];\ncrx(-0.0027) q[2], q[3];\ncrx(0.0013) q[1], q[2];\ncrx(1.5967) q[0], q[1];\nry(0.6212) q[0];\nry(1.5676) q[1];\nry(1.6727) q[2];\nry(-0.0026) q[3];\nry(-0.8022) q[4];\nry(2.4868) q[5];\nry(1.5) q[6];\nry(1.5663) q[7];\ncrx(0.2628) q[7], q[6];\ncrx(0.5108) q[0], q[7];\ncrx(-0.0028) q[0], q[1];\ncrx(0.0023) q[1], q[2];\ncrx(-0.0027) q[2], q[3];\ncrx(-0.2197) q[3], q[4];\ncrx(2.6458) q[4], q[5];\ncrx(-0.005) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncrx(x8) q[7], q[0];\ncrx(x9) q[6], q[7];\ncrx(x10) q[5], q[6];\ncrx(x11) q[4], q[5];\ncrx(x12) q[3], q[4];\ncrx(x3) q[2], q[3];\ncrx(x13) q[1], q[2];\ncrx(x14) q[0], q[1];\nry(x15) q[0];\nry(x16) q[1];\nry(x17) q[2];\nry(x18) q[3];\nry(x19) q[4];\nry(x20) q[5];\nry(x21) q[6];\nry(x22) q[7];\ncrx(x23) q[7], q[6];\ncrx(x24) q[0], q[7];\ncrx(x25) q[0], q[1];\ncrx(x26) q[1], q[2];\ncrx(x3) q[2], q[3];\ncrx(x27) q[3], q[4];\ncrx(x28) q[4], q[5];\ncrx(x29) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["7efca02d91f49e4bd32e9ceac2c5c6eb","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [97, 49], \"expectation_value\": -0.0826097713393303, \"params\": [[0.034, 0.0356, -0.0434], [-0.0307, -0.0415, -0.0026000000000000003]], \"bitstrings\": [\"0011110\", \"1001110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008508810883038394, 0.0085088108830384], \"optimization_time\": 3.876347064971924}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 7, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"0111010\", \"1100101\", \"1001110\", \"1000111\", \"1110001\", \"0111001\", \"0011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(0.034) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.034) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.034) q[4];\ncx q[2], q[4];\ncx q[4], q[1];\nrz(0.034) q[1];\ncx q[4], q[1];\ncx q[1], q[5];\nrz(0.034) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(0.034) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.034) q[6];\ncx q[5], q[6];\nrz(-0.034) q[2];\nrz(-0.034) q[0];\nrz(-0.034) q[3];\nrz(-0.034) q[4];\nrz(-0.034) q[1];\nrz(-0.034) q[5];\nrz(-0.034) q[6];\nh q[0];\nrz(-0.0614) q[0];\nh q[0];\nh q[1];\nrz(-0.0614) q[1];\nh q[1];\nh q[2];\nrz(-0.0614) q[2];\nh q[2];\nh q[3];\nrz(-0.0614) q[3];\nh q[3];\nh q[4];\nrz(-0.0614) q[4];\nh q[4];\nh q[5];\nrz(-0.0614) q[5];\nh q[5];\nh q[6];\nrz(-0.0614) q[6];\nh q[6];\ncx q[2], q[0];\nrz(0.0356) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0356) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.0356) q[4];\ncx q[2], q[4];\ncx q[4], q[1];\nrz(0.0356) q[1];\ncx q[4], q[1];\ncx q[1], q[5];\nrz(0.0356) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(0.0356) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0356) q[6];\ncx q[5], q[6];\nrz(-0.0356) q[2];\nrz(-0.0356) q[0];\nrz(-0.0356) q[3];\nrz(-0.0356) q[4];\nrz(-0.0356) q[1];\nrz(-0.0356) q[5];\nrz(-0.0356) q[6];\nh q[0];\nrz(-0.083) q[0];\nh q[0];\nh q[1];\nrz(-0.083) q[1];\nh q[1];\nh q[2];\nrz(-0.083) q[2];\nh q[2];\nh q[3];\nrz(-0.083) q[3];\nh q[3];\nh q[4];\nrz(-0.083) q[4];\nh q[4];\nh q[5];\nrz(-0.083) q[5];\nh q[5];\nh q[6];\nrz(-0.083) q[6];\nh q[6];\ncx q[2], q[0];\nrz(-0.0434) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.0434) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(-0.0434) q[4];\ncx q[2], q[4];\ncx q[4], q[1];\nrz(-0.0434) q[1];\ncx q[4], q[1];\ncx q[1], q[5];\nrz(-0.0434) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(-0.0434) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.0434) q[6];\ncx q[5], q[6];\nrz(0.0434) q[2];\nrz(0.0434) q[0];\nrz(0.0434) q[3];\nrz(0.0434) q[4];\nrz(0.0434) q[1];\nrz(0.0434) q[5];\nrz(0.0434) q[6];\nh q[0];\nrz(-0.0052) q[0];\nh q[0];\nh q[1];\nrz(-0.0052) q[1];\nh q[1];\nh q[2];\nrz(-0.0052) q[2];\nh q[2];\nh q[3];\nrz(-0.0052) q[3];\nh q[3];\nh q[4];\nrz(-0.0052) q[4];\nh q[4];\nh q[5];\nrz(-0.0052) q[5];\nh q[5];\nh q[6];\nrz(-0.0052) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[3];\nrz(x1) q[4];\nrz(x1) q[1];\nrz(x1) q[5];\nrz(x1) q[6];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x3) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x3) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[4], q[1];\nrz(x3) q[1];\ncx q[4], q[1];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\nrz(x4) q[2];\nrz(x4) q[0];\nrz(x4) q[3];\nrz(x4) q[4];\nrz(x4) q[1];\nrz(x4) q[5];\nrz(x4) q[6];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x6) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x6) q[4];\ncx q[2], q[4];\ncx q[4], q[1];\nrz(x6) q[1];\ncx q[4], q[1];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[3], q[6];\nrz(x6) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\nrz(x7) q[2];\nrz(x7) q[0];\nrz(x7) q[3];\nrz(x7) q[4];\nrz(x7) q[1];\nrz(x7) q[5];\nrz(x7) q[6];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["fa12f3a697c97a90a7d75ad197dde7b9","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 5}]}","{\"states\": [6, 7], \"expectation_value\": -0.300768978195995, \"params\": [[[1.3926, 0.0061], [1.3856000000000002, 0.0004], [1.3908, 0.009600000000000001], [1.6007, 0.0063], [1.6053000000000002, 0.0058000000000000005], [1.5971000000000002, 0.0047]]], \"bitstrings\": [\"111001\", \"111000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.026642630747703507, 0.028080376511250855], \"optimization_time\": 2.3033907413482666}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * (Z(5) @ Z(4)) + -0.75 * Z(1) + -0.75 * Z(0) + -0.75 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(1.3926) q[0];\nrz(0.0061) q[0];\nrx(1.3856) q[1];\nrz(0.0004) q[1];\nrx(1.3908) q[2];\nrz(0.0096) q[2];\nrx(1.6007) q[3];\nrz(0.0063) q[3];\nrx(1.6053) q[4];\nrz(0.0058) q[4];\nrx(1.5971) q[5];\nrz(0.0047) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["-5064463662352024584","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[4, 5], [1, 3, 5], [1, 6], [0, 2, 6], [2, 4]]}","{\"states\": [83, 114], \"expectation_value\": -2.008370608869138, \"params\": null, \"bitstrings\": [\"0101100\", \"0001101\"], \"total_optimization_steps\": 47, \"probabilities\": [0.03892126823610015, 0.8193711462025242], \"optimization_time\": 42.11133337020874}","0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.16666666666666663 * Z(1) + 0.16666666666666666 * Z(3) + 0.16666666666666663 * Z(6) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(2)",1,7,1,"{\"smallest_eigenvalues\": [-2.1666666666666665, -2.1666666666666665], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.833333333333334, \"smallest_bitstrings\": [\"0001101\", \"1100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], q[4];\nry(0.971) q[5];\ncry(1.3559) q[5], q[2];\ncry(-0.8863) q[2], q[4];\ncry(-0.9958) q[1], q[6];\nry(0.7786) q[1];\ncry(-0.5321) q[2], q[6];\ncry(0.4778) q[2], q[1];\ncry(0.3608) q[2], q[5];\nry(-0.3415) q[6];\ncry(0.7758) q[1], q[0];\ncry(-0.5893) q[5], q[3];\nry(0.4413) q[0];\ncry(0.218) q[0], q[1];\ncry(-0.165) q[0], q[6];\ncry(-0.4098) q[1], q[3];\nry(0.1286) q[2];\ncry(-0.2315) q[2], q[3];\ncry(0.1538) q[2], q[0];\ncry(-0.0355) q[0], q[4];\ncry(0.0614) q[5], q[1];\ncry(-0.1579) q[4], q[2];\ncry(-0.0928) q[0], q[3];\ncry(0.0422) q[0], q[5];\ncry(0.0758) q[5], q[0];\ncry(0.0778) q[4], q[1];\ncry(0.0846) q[4], q[3];\ncry(0.057) q[3], q[4];\ncry(0.0559) q[4], q[0];\ncry(-0.0517) q[4], q[5];\ncry(0.0542) q[6], q[3];\nry(-0.0327) q[3];\nry(0.0093) q[4];\ncry(-0.0327) q[6], q[0];\ncry(-0.0297) q[3], q[2];\ncry(-0.0178) q[6], q[1];\ncry(0.0188) q[3], q[1];\ncry(0.0164) q[3], q[0];\ncry(0.0076) q[1], q[2];\ncry(-0.0027) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":39665,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(1.3559) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(1.3559) q[5], q[2];\\ncry(-0.8863) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(1.3559) q[5], q[2];\\ncry(-0.8863) q[2], q[4];\\ncry(-0.9958) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(1.3559) q[5], q[2];\\ncry(-0.8863) q[2], q[4];\\ncry(-0.9958) q[1], q[6];\\nry(0.7786) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(1.3559) q[5], q[2];\\ncry(-0.8863) q[2], q[4];\\ncry(-0.9958) q[1], q[6];\\nry(0.7786) q[1];\\ncry(-0.5321) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(1.3559) q[5], q[2];\\ncry(-0.8863) q[2], q[4];\\ncry(-0.9958) q[1], q[6];\\nry(0.7786) q[1];\\ncry(-0.5321) q[2], q[6];\\ncry(0.4778) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(1.3559) q[5], q[2];\\ncry(-0.8863) q[2], q[4];\\ncry(-0.9958) q[1], q[6];\\nry(0.7786) q[1];\\ncry(-0.5321) q[2], q[6];\\ncry(0.4778) q[2], q[1];\\ncry(0.3608) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[4];\\nry(0.971) q[5];\\ncry(1.3559) q[5], q[2];\\ncry(-0.8863) q[2], q[4];\\ncry(-0.9958) q[1], q[6];\\nry(0.7786) q[1];\\ncry(-0.5321) q[2], q[6];\\ncry(0.4778) q[2], q[1];\\ncry(0.3608) q[2], q[5];\\nry(-0.3415) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure"}}]
["c74167a186ef9c06e73f7bbbf8de6ec0","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [368, 372], \"expectation_value\": -2.6829202711513376, \"params\": [[[0.26, 0.13390000000000002, 0.0057, 0.0], [0.5931000000000001, -0.1645, 0.5522, -0.1178], [0.5645, -0.40230000000000005, -0.2411, 0.6138], [0.0844, 0.632, 0.38180000000000003, 0.5134000000000001], [0.49210000000000004, -0.3156, 0.55, -0.2907], [-0.17880000000000001, 0.3297, 0.6867000000000001, 0.1837], [0.17220000000000002, -0.39430000000000004, 0.1585, -0.079], [-0.0059, 0.009000000000000001, 0.008400000000000001, 0.12040000000000001], [-0.0029000000000000002, -0.14780000000000001, 0.0081, 0.008400000000000001]], [[0.24750000000000003, 0.0736, 0.0098, 0.0024000000000000002], [-0.0979, 0.2456, 0.5710000000000001, 0.1012], [0.6991, 0.015700000000000002, 0.6998000000000001, 0.1017], [0.3461, 0.6092000000000001, 0.6891, 0.5695], [0.5626, -0.5169, 0.3946, -0.2011], [-0.21480000000000002, 0.5859, 0.3942, 0.5784], [0.7057, -0.0105, 0.7028, 0.23950000000000002], [-0.0015, 0.11750000000000001, -0.0108, 0.09390000000000001], [0.0026000000000000003, -0.12810000000000002, 0.0021000000000000003, 0.0088]], [[-0.306, 0.4252, 0.0, 0.008400000000000001], [0.6914, 0.5745, 0.2891, 0.006900000000000001], [0.6783, -0.45840000000000003, 0.6976, 0.0074], [0.1642, -0.5932000000000001, 0.0907, 0.0031000000000000003], [0.2877, -0.42850000000000005, 0.7061000000000001, 0.0083], [0.7011000000000001, -0.1653, 0.191, 0.0082], [0.5356000000000001, 0.16010000000000002, 0.48350000000000004, 0.0091], [0.0076, -0.39940000000000003, -0.0016, 0.006900000000000001], [0.0006000000000000001, 0.0045000000000000005, 0.0047, 0.0085]]], \"bitstrings\": [\"010001111\", \"010001011\"], \"total_optimization_steps\": 70, \"probabilities\": [0.20376619442941077, 0.2565309999308307], \"optimization_time\": 16.318073987960815}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(3) @ Z(7)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(8)) + -0.125 * (Z(6) @ Z(1) @ Z(4)) + -0.125 * (Z(1) @ Z(4) @ Z(8)) + -0.125 * (Z(6) @ Z(1) @ Z(8)) + -0.125 * (Z(6) @ Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(1) @ Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.125 * Z(0) + 0.125 * Z(1) + -0.25 * Z(2) + 0.125 * Z(3) + 0.25 * Z(4) + -0.625 * Z(5) + 0.125 * Z(6) + -0.25 * Z(7) + -0.625 * Z(8)",11,9,3,"{\"smallest_eigenvalues\": [-3.75, -3.75, -3.75, -3.75, -3.75], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"001101001\", \"100001011\", \"001001101\", \"010001011\", \"001001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.26) q[0];\nrz(0.1339) q[0];\nry(0.5931) q[1];\nrz(-0.1645) q[1];\nry(0.5645) q[2];\nrz(-0.4023) q[2];\nry(0.0844) q[3];\nrz(0.632) q[3];\nry(0.4921) q[4];\nrz(-0.3156) q[4];\nry(-0.1788) q[5];\nrz(0.3297) q[5];\nry(0.1722) q[6];\nrz(-0.3943) q[6];\nry(-0.0059) q[7];\nrz(0.009) q[7];\nry(-0.0029) q[8];\nrz(-0.1478) q[8];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.5522) q[1];\nrz(-0.1178) q[1];\nry(-0.2411) q[2];\nrz(0.6138) q[2];\ncx q[2], q[1];\nry(0.3818) q[3];\nrz(0.5134) q[3];\nry(0.55) q[4];\nrz(-0.2907) q[4];\ncx q[4], q[3];\nry(0.6867) q[5];\nrz(0.1837) q[5];\nry(0.1585) q[6];\nrz(-0.079) q[6];\ncx q[6], q[5];\nry(0.0084) q[7];\nrz(0.1204) q[7];\ncx q[8], q[7];\nry(0.2475) q[0];\nrz(0.0736) q[0];\nry(-0.0979) q[1];\nrz(0.2456) q[1];\nry(0.6991) q[2];\nrz(0.0157) q[2];\nry(0.3461) q[3];\nrz(0.6092) q[3];\nry(0.5626) q[4];\nrz(-0.5169) q[4];\nry(-0.2148) q[5];\nrz(0.5859) q[5];\nry(0.7057) q[6];\nrz(-0.0105) q[6];\nry(-0.0015) q[7];\nrz(0.1175) q[7];\nry(0.0026) q[8];\nrz(-0.1281) q[8];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.571) q[1];\nrz(0.1012) q[1];\nry(0.6998) q[2];\nrz(0.1017) q[2];\ncx q[2], q[1];\nry(0.6891) q[3];\nrz(0.5695) q[3];\nry(0.3946) q[4];\nrz(-0.2011) q[4];\ncx q[4], q[3];\nry(0.3942) q[5];\nrz(0.5784) q[5];\nry(0.7028) q[6];\nrz(0.2395) q[6];\ncx q[6], q[5];\nry(-0.0108) q[7];\nrz(0.0939) q[7];\ncx q[8], q[7];\nry(-0.306) q[0];\nrz(0.4252) q[0];\nry(0.6914) q[1];\nrz(0.5745) q[1];\nry(0.6783) q[2];\nrz(-0.4584) q[2];\nry(0.1642) q[3];\nrz(-0.5932) q[3];\nry(0.2877) q[4];\nrz(-0.4285) q[4];\nry(0.7011) q[5];\nrz(-0.1653) q[5];\nry(0.5356) q[6];\nrz(0.1601) q[6];\nry(0.0076) q[7];\nrz(-0.3994) q[7];\nry(0.0006) q[8];\nrz(0.0045) q[8];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.2891) q[1];\nrz(0.0069) q[1];\nry(0.6976) q[2];\nrz(0.0074) q[2];\ncx q[2], q[1];\nry(0.0907) q[3];\nrz(0.0031) q[3];\nry(0.7061) q[4];\nrz(0.0083) q[4];\ncx q[4], q[3];\nry(0.191) q[5];\nrz(0.0082) q[5];\nry(0.4835) q[6];\nrz(0.0091) q[6];\ncx q[6], q[5];\nry(-0.0016) q[7];\nrz(0.0069) q[7];\ncx q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x18) q[1];\nrz(x19) q[1];\nry(x20) q[2];\nrz(x21) q[2];\ncx q[2], q[1];\nry(x22) q[3];\nrz(x23) q[3];\nry(x24) q[4];\nrz(x25) q[4];\ncx q[4], q[3];\nry(x26) q[5];\nrz(x27) q[5];\nry(x28) q[6];\nrz(x29) q[6];\ncx q[6], q[5];\nry(x30) q[7];\nrz(x31) q[7];\ncx q[8], q[7];\nry(x32) q[0];\nrz(x33) q[0];\nry(x34) q[1];\nrz(x35) q[1];\nry(x36) q[2];\nrz(x37) q[2];\nry(x38) q[3];\nrz(x39) q[3];\nry(x40) q[4];\nrz(x41) q[4];\nry(x42) q[5];\nrz(x43) q[5];\nry(x44) q[6];\nrz(x45) q[6];\nry(x46) q[7];\nrz(x47) q[7];\nry(x48) q[8];\nrz(x49) q[8];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x50) q[1];\nrz(x51) q[1];\nry(x52) q[2];\nrz(x53) q[2];\ncx q[2], q[1];\nry(x54) q[3];\nrz(x55) q[3];\nry(x56) q[4];\nrz(x57) q[4];\ncx q[4], q[3];\nry(x58) q[5];\nrz(x59) q[5];\nry(x60) q[6];\nrz(x61) q[6];\ncx q[6], q[5];\nry(x62) q[7];\nrz(x63) q[7];\ncx q[8], q[7];\nry(x64) q[0];\nrz(x65) q[0];\nry(x66) q[1];\nrz(x67) q[1];\nry(x68) q[2];\nrz(x69) q[2];\nry(x70) q[3];\nrz(x71) q[3];\nry(x72) q[4];\nrz(x73) q[4];\nry(x74) q[5];\nrz(x75) q[5];\nry(x76) q[6];\nrz(x77) q[6];\nry(x78) q[7];\nrz(x79) q[7];\nry(x80) q[8];\nrz(x81) q[8];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x82) q[1];\nrz(x83) q[1];\nry(x84) q[2];\nrz(x85) q[2];\ncx q[2], q[1];\nry(x86) q[3];\nrz(x87) q[3];\nry(x88) q[4];\nrz(x89) q[4];\ncx q[4], q[3];\nry(x90) q[5];\nrz(x91) q[5];\nry(x92) q[6];\nrz(x93) q[6];\ncx q[6], q[5];\nry(x94) q[7];\nrz(x83) q[7];\ncx q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["-9156451271853645948","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[9, 2, 4], [0, 3], [1, 2], [9, 5], [6, 7], [8, 9]]}","{\"states\": [233, 201], \"expectation_value\": -2.647882350766147, \"params\": [-0.0002, 0.0001, 0.079, 0.0038, 1.6351, 1.5228000000000002, 1.4347, 1.578, 1.6307, 0.6995, 0.007, -0.0158, 1.582, 1.5739, -0.0025, -0.0092, 0.0811, -0.09570000000000001, 1.5687, 1.5832000000000002, 0.041, 0.040600000000000004, 1.0297, 1.0433000000000001, -1.4642000000000002, 0.2893, 0.6983, -0.9473, 0.6531, 0.3483, -0.0039000000000000003, 1.6807, 0.4229, 0.0002, -0.3715, 0.2617, 1.5063, 0.18230000000000002, -1.0354, 0.053700000000000005], \"bitstrings\": [\"1100010110\", \"1100110110\"], \"total_optimization_steps\": 170, \"probabilities\": [0.43612100533202747, 0.5232090211498704], \"optimization_time\": 8.313787460327148}","0.16666666666666666 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(9) + 0.16666666666666666 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(8)",14,10,1,"{\"smallest_eigenvalues\": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -2.8333333333333326, \"smallest_bitstrings\": [\"0011011010\", \"1100111010\", \"1010010110\", \"0101110110\", \"0101111010\", \"1010011010\", \"0011010110\", \"1100110110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(-0.0002) q[0];\nry(0.079) q[1];\nry(1.6351) q[2];\nry(1.4347) q[3];\nry(1.6307) q[4];\nry(0.007) q[5];\nry(1.582) q[6];\nry(-0.0025) q[7];\nry(0.0811) q[8];\nry(1.5687) q[9];\ncrx(0.041) q[9], q[0];\ncrx(-1.0354) q[8], q[9];\ncrx(1.5063) q[7], q[8];\ncrx(-0.3715) q[6], q[7];\ncrx(0.4229) q[5], q[6];\ncrx(-0.0039) q[4], q[5];\ncrx(0.6531) q[3], q[4];\ncrx(0.6983) q[2], q[3];\ncrx(-1.4642) q[1], q[2];\ncrx(1.0297) q[0], q[1];\nry(0.0001) q[0];\nry(0.0038) q[1];\nry(1.5228) q[2];\nry(1.578) q[3];\nry(0.6995) q[4];\nry(-0.0158) q[5];\nry(1.5739) q[6];\nry(-0.0092) q[7];\nry(-0.0957) q[8];\nry(1.5832) q[9];\ncrx(0.0406) q[9], q[8];\ncrx(1.0433) q[0], q[9];\ncrx(0.2893) q[0], q[1];\ncrx(-0.9473) q[1], q[2];\ncrx(0.3483) q[2], q[3];\ncrx(1.6807) q[3], q[4];\ncrx(0.0002) q[4], q[5];\ncrx(0.2617) q[5], q[6];\ncrx(0.1823) q[6], q[7];\ncrx(0.0537) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncrx(x10) q[9], q[0];\ncrx(x11) q[8], q[9];\ncrx(x12) q[7], q[8];\ncrx(x13) q[6], q[7];\ncrx(x14) q[5], q[6];\ncrx(x15) q[4], q[5];\ncrx(x16) q[3], q[4];\ncrx(x17) q[2], q[3];\ncrx(x18) q[1], q[2];\ncrx(x19) q[0], q[1];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncrx(x30) q[9], q[8];\ncrx(x31) q[0], q[9];\ncrx(x32) q[0], q[1];\ncrx(x33) q[1], q[2];\ncrx(x34) q[2], q[3];\ncrx(x35) q[3], q[4];\ncrx(x36) q[4], q[5];\ncrx(x37) q[5], q[6];\ncrx(x38) q[6], q[7];\ncrx(x39) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["6573790533608945682","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 2, 7], [2, 5], [0, 3, 7], [0, 1, 7], [3, 4, 7], [0, 3, 5], [3, 6], [0, 2, 3], [1, 4, 5], [1, 2, 4], [0, 1, 6], [4, 6, 7], [1, 5, 7], [5, 6], [3, 5, 7], [2, 6, 7], [0, 3, 4], [1, 6, 7]]}","{\"states\": [157, 143], \"expectation_value\": -4.30317011135978, \"params\": null, \"bitstrings\": [\"01100010\", \"01110000\"], \"total_optimization_steps\": 56, \"probabilities\": [0.07733544818977445, 0.7661870641730362], \"optimization_time\": 106.05661940574646}","0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.6666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.666666666666667 * Z(2) + 1.1666666666666665 * Z(0) + 1.5 * Z(7) + 0.6666666666666663 * Z(5) + 0.9999999999999998 * Z(3) + 0.9999999999999999 * Z(1) + 0.8333333333333333 * Z(4) + 0.6666666666666663 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-4.499999999999997], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.166666666666668, \"smallest_bitstrings\": [\"01110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nry(1.5298) q[0];\ncry(-1.2287) q[6], q[3];\nry(1.437) q[4];\ncry(-1.1444) q[5], q[2];\nry(0.9705) q[5];\ncry(-0.6542) q[0], q[2];\ncry(-1.1555) q[6], q[1];\ncry(0.4711) q[0], q[5];\ncry(-0.443) q[4], q[3];\nry(0.5204) q[6];\ncry(-0.5557) q[4], q[1];\ncry(0.3684) q[7], q[6];\ncry(-0.3029) q[0], q[3];\ncry(-0.257) q[7], q[2];\ncry(0.2715) q[4], q[6];\ncry(-0.2774) q[0], q[1];\ncry(0.1235) q[7], q[4];\ncry(-0.0854) q[7], q[3];\ncry(0.2116) q[0], q[6];\nry(-0.0654) q[3];\ncry(0.0929) q[4], q[5];\nry(-0.0887) q[1];\ncry(0.0384) q[4], q[0];\ncry(-0.0642) q[4], q[2];\ncry(0.0913) q[5], q[6];\ncry(-0.029) q[5], q[3];\ncry(-0.0355) q[5], q[1];\ncry(0.0268) q[7], q[5];\nry(-0.0172) q[2];\ncry(0.0447) q[2], q[6];\ncry(-0.0003) q[5], q[0];\ncry(-0.0166) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,null,{"$cut":{"chars":48676,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(1.5298) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(1.5298) q[0];\\ncry(-1.2287) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(1.5298) q[0];\\ncry(-1.2287) q[6], q[3];\\nry(1.437) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(1.5298) q[0];\\ncry(-1.2287) q[6], q[3];\\nry(1.437) q[4];\\ncry(-1.1444) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(1.5298) q[0];\\ncry(-1.2287) q[6], q[3];\\nry(1.437) q[4];\\ncry(-1.1444) q[5], q[2];\\nry(0.9705) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(1.5298) q[0];\\ncry(-1.2287) q[6], q[3];\\nry(1.437) q[4];\\ncry(-1.1444) q[5], q[2];\\nry(0.9705) q[5];\\ncry(-0.6542) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(1.5298) q[0];\\ncry(-1.2287) q[6], q[3];\\nry(1.437) q[4];\\ncry(-1.1444) q[5], q[2];\\nry(0.9705) q[5];\\ncry(-0.6542) q[0], q[2];\\ncry(-1.1555) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(1.5298) q[0];\\ncry(-1.2287) q[6], q[3];\\nry(1.437) q[4];\\ncry(-1.1444) q[5], q[2];\\nry(0.9705) q[5];\\ncry(-0.6542) q[0], q[2];\\ncry(-1.1555) q[6], q[1];\\ncry(0.4711) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(1.5298) q[0];\\ncry(-1.2287) q[6], q[3];\\nry(1.437) q[4];\\ncry(-1.1444) q[5], q[2];\\nry(0.9705) q[5];\\ncry(-0.6542"}}]
["93f5686fd39e6a6c4d9331c2d208db96","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 9}, {\"source\": 6, \"target\": 10}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [125, 63], \"expectation_value\": -15.358689329607651, \"params\": null, \"bitstrings\": [\"1110000010\", \"1111000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.08156837453707068, 0.3049233686964222], \"optimization_time\": 262.66140365600586}","-2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 1.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(5)) + -3.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(4)) + -3.0 * (Z(7) @ Z(8)) + 1.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(9)) + -2.0 * Z(2) + -1.0 * Z(1) + 1.0 * Z(0) + 1.0 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(7)",1,10,1,"{\"smallest_eigenvalues\": [-33.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -32.0, \"smallest_bitstrings\": [\"1111000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[2];\nry(-1.5577) q[1];\ncry(1.5708) q[9], q[8];\ncry(1.57) q[8], q[5];\ncry(0.5729) q[5], q[6];\ncry(0.167) q[8], q[6];\ncry(1.5311) q[8], q[7];\ncry(-0.1466) q[8], q[9];\ncry(-0.0245) q[5], q[9];\nry(-0.1534) q[9];\ncry(0.167) q[7], q[9];\ncry(-0.001) q[7], q[6];\nry(-1.1646) q[6];\ncry(1.2283) q[4], q[6];\ncry(1.3057) q[3], q[9];\ncry(0.8456) q[9], q[6];\ncry(1.2664) q[8], q[4];\ncry(0.6218) q[4], q[9];\ncry(-5.559) q[5], q[8];\nry(6.5174) q[8];\ncry(3.4799) q[7], q[8];\ncry(5.667) q[4], q[8];\ncry(5.5863) q[6], q[8];\ncry(-1.9839) q[3], q[8];\ncry(-1.7742) q[0], q[8];\ncry(-0.6155) q[0], q[6];\ncry(-0.2958) q[6], q[7];\nry(-1.5281) q[0];\ncry(-0.5393) q[6], q[4];\ncry(0.6577) q[7], q[4];\ncry(-0.3207) q[3], q[4];\ncry(0.1969) q[5], q[7];\ncry(-0.3359) q[3], q[7];\nry(0.207) q[7];\ncry(-0.1667) q[9], q[7];\ncry(0.2328) q[5], q[4];\ncry(-0.1224) q[6], q[9];\ncry(-0.1002) q[6], q[5];\nry(-0.9924) q[3];\ncry(-0.1062) q[3], q[6];\ncry(0.5028) q[0], q[9];\nry(0.0841) q[5];\ncry(-0.5473) q[9], q[3];\ncry(-0.0625) q[4], q[5];\ncry(0.0567) q[4], q[7];\ncry(0.2852) q[3], q[5];\nry(-0.0781) q[4];\ncry(-0.0531) q[9], q[5];\ncry(-0.3346) q[0], q[4];\ncry(0.0346) q[7], q[5];\ncry(-0.2546) q[8], q[3];\ncry(-0.0131) q[7], q[1];\ncry(0.1434) q[0], q[5];\ncry(-0.084) q[0], q[7];\ncry(-0.066) q[6], q[0];\ncry(0.0977) q[3], q[0];\ncry(-0.1149) q[4], q[3];\ncry(-0.1001) q[0], q[3];\ncry(0.0638) q[5], q[0];\ncry(-0.0702) q[8], q[0];\ncry(0.0596) q[5], q[3];\ncry(-0.0745) q[6], q[3];\ncry(0.033) q[7], q[0];\ncry(-0.0009) q[5], q[1];\ncry(0.0033) q[9], q[2];\ncry(0.0093) q[8], q[2];\ncry(-0.0004) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"node\": 0}",{"$cut":{"chars":142218,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[2];\\nry(-1.5577) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[2];\\nry(-1.5577) q[1];\\ncry(1.5708) q[9], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[2];\\nry(-1.5577) q[1];\\ncry(1.5708) q[9], q[8];\\ncry(1.57) q[8], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[2];\\nry(-1.5577) q[1];\\ncry(1.5708) q[9], q[8];\\ncry(1.57) q[8], q[5];\\ncry(0.5729) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[2];\\nry(-1.5577) q[1];\\ncry(1.5708) q[9], q[8];\\ncry(1.57) q[8], q[5];\\ncry(0.5729) q[5], q[6];\\ncry(0.167) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[2];\\nry(-1.5577) q[1];\\ncry(1.5708) q[9], q[8];\\ncry(1.57) q[8], q[5];\\ncry(0.5729) q[5], q[6];\\ncry(0.167) q[8], q[6];\\ncry(1.5311) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[2];\\nry(-1.5577) q[1];\\ncry(1.5708) q[9], q[8];\\ncry(1.57) q[8], q[5];\\ncry(0.5729) q[5], q[6];\\ncry(0.167) q[8], q[6];\\ncry(1.5311) q[8], q[7];\\ncry(-0.1466) q[8], q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(-1.5708) q[2];\\nry(-1.5577) q[1];\\ncry(1.5708) q[9], q[8];\\ncry(1."}}]
["-4537073476167521322","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 4], [0, 4], [4, 6], [0, 7], [0, 3], [1, 3], [0, 1], [3, 7], [5, 7], [2, 6], [3, 6], [6, 7]]}","{\"states\": [57, 198], \"expectation_value\": -0.10113832313659459, \"params\": [[-0.0639], [0.0674]], \"bitstrings\": [\"11000110\", \"00111001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004458576971406062, 0.004458576971406062], \"optimization_time\": 1.8936946392059326}","0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(2)",1,8,1,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"00111001\", \"11000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[1];\nrz(-0.0639) q[1];\ncx q[4], q[1];\ncx q[4], q[0];\nrz(-0.0639) q[0];\ncx q[4], q[0];\ncx q[1], q[0];\nrz(-0.0639) q[0];\ncx q[1], q[0];\ncx q[4], q[6];\nrz(-0.0639) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(-0.0639) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(-0.0639) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(-0.0639) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0639) q[3];\ncx q[0], q[3];\ncx q[6], q[3];\nrz(-0.0639) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(-0.0639) q[3];\ncx q[7], q[3];\ncx q[7], q[5];\nrz(-0.0639) q[5];\ncx q[7], q[5];\ncx q[6], q[2];\nrz(-0.0639) q[2];\ncx q[6], q[2];\nrz(0) q[4];\nrz(0) q[1];\nrz(0) q[0];\nrz(0) q[6];\nrz(0) q[7];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[2];\nh q[0];\nrz(0.1348) q[0];\nh q[0];\nh q[1];\nrz(0.1348) q[1];\nh q[1];\nh q[2];\nrz(0.1348) q[2];\nh q[2];\nh q[3];\nrz(0.1348) q[3];\nh q[3];\nh q[4];\nrz(0.1348) q[4];\nh q[4];\nh q[5];\nrz(0.1348) q[5];\nh q[5];\nh q[6];\nrz(0.1348) q[6];\nh q[6];\nh q[7];\nrz(0.1348) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(x0) q[3];\ncx q[7], q[3];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\nrz(x1) q[4];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[6];\nrz(x1) q[7];\nrz(x1) q[3];\nrz(x1) q[5];\nrz(x1) q[2];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["162fe25b85864244a9d036e97bb77681","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 8}, {\"weight\": 20, \"source\": 0, \"target\": 3}, {\"weight\": 17, \"source\": 1, \"target\": 5}, {\"weight\": 15, \"source\": 1, \"target\": 2}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 2, \"target\": 6}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [249, 244], \"expectation_value\": -19.263652754648504, \"params\": [[-0.032600000000000004, 0.0033], [0.0753, 0.0703]], \"bitstrings\": [\"100000110\", \"100001011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0059581342444756024, 0.00786526298342101], \"optimization_time\": 3.302461862564087}","5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 7.5 * Z(2) + 10.5 * Z(0) + 15.0 * Z(1) + 17.5 * Z(3) + 13.5 * Z(4) + 7.0 * Z(5) + 10.5 * Z(6) + -3.0 * Z(7) + -1.5 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-81.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -68.0, \"smallest_bitstrings\": [\"100001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(-0.326) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.326) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.326) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(-0.326) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(-0.326) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.326) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.326) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(-0.326) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(-0.326) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.326) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.326) q[7];\ncx q[4], q[7];\ncx q[6], q[8];\nrz(-0.326) q[8];\ncx q[6], q[8];\nrz(-0.489) q[2];\nrz(-0.6846) q[0];\nrz(-0.978) q[1];\nrz(-1.141) q[3];\nrz(-0.8802) q[4];\nrz(-0.4564) q[5];\nrz(-0.6846) q[6];\nrz(0.1956) q[7];\nrz(0.0978) q[8];\nh q[0];\nrz(0.1506) q[0];\nh q[0];\nh q[1];\nrz(0.1506) q[1];\nh q[1];\nh q[2];\nrz(0.1506) q[2];\nh q[2];\nh q[3];\nrz(0.1506) q[3];\nh q[3];\nh q[4];\nrz(0.1506) q[4];\nh q[4];\nh q[5];\nrz(0.1506) q[5];\nh q[5];\nh q[6];\nrz(0.1506) q[6];\nh q[6];\nh q[7];\nrz(0.1506) q[7];\nh q[7];\nh q[8];\nrz(0.1506) q[8];\nh q[8];\ncx q[2], q[0];\nrz(0.033) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.033) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(0.033) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(0.033) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(0.033) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.033) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.033) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.033) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(0.033) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.033) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(0.033) q[7];\ncx q[4], q[7];\ncx q[6], q[8];\nrz(0.033) q[8];\ncx q[6], q[8];\nrz(0.0495) q[2];\nrz(0.0693) q[0];\nrz(0.099) q[1];\nrz(0.1155) q[3];\nrz(0.0891) q[4];\nrz(0.0462) q[5];\nrz(0.0693) q[6];\nrz(-0.0198) q[7];\nrz(-0.0099) q[8];\nh q[0];\nrz(0.1406) q[0];\nh q[0];\nh q[1];\nrz(0.1406) q[1];\nh q[1];\nh q[2];\nrz(0.1406) q[2];\nh q[2];\nh q[3];\nrz(0.1406) q[3];\nh q[3];\nh q[4];\nrz(0.1406) q[4];\nh q[4];\nh q[5];\nrz(0.1406) q[5];\nh q[5];\nh q[6];\nrz(0.1406) q[6];\nh q[6];\nh q[7];\nrz(0.1406) q[7];\nh q[7];\nh q[8];\nrz(0.1406) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x2) q[6];\nrz(x7) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x10) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x10) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x10) q[1];\ncx q[0], q[1];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[6], q[8];\nrz(x10) q[8];\ncx q[6], q[8];\nrz(x11) q[2];\nrz(x12) q[0];\nrz(x13) q[1];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x12) q[6];\nrz(x17) q[7];\nrz(x18) q[8];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nh q[8];\nrz(x19) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 9}\"}","{\"circuits\": [], \"gradients\": []}"]
["-6715739738485015248","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 3], [1, 2], [4, 5]]}","{\"states\": [42, 14], \"expectation_value\": -1.4459077414127894, \"params\": null, \"bitstrings\": [\"010101\", \"110001\"], \"total_optimization_steps\": 31, \"probabilities\": [0.051759288924156245, 0.7900196277016767], \"optimization_time\": 15.779792785644531}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4)",1,6,1,"{\"smallest_eigenvalues\": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -0.5, \"smallest_bitstrings\": [\"110010\", \"110001\", \"101010\", \"101001\", \"001110\", \"001101\", \"010110\", \"010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], q[5];\ncry(-1.0342) q[3], q[0];\ncry(-1.0342) q[2], q[1];\nry(0.7003) q[4];\nry(0.7003) q[3];\nry(0.7003) q[2];\nry(-0.4549) q[1];\nry(-0.4549) q[0];\nry(-0.4549) q[5];\ncry(0.4578) q[3], q[4];\ncry(0.4767) q[4], q[2];\ncry(0.4662) q[2], q[3];\ncry(-0.3557) q[4], q[1];\ncry(-0.3477) q[2], q[0];\ncry(-0.3282) q[3], q[5];\ncry(0.3002) q[2], q[4];\ncry(0.2559) q[4], q[3];\ncry(0.2495) q[3], q[2];\ncry(-0.1768) q[2], q[5];\ncry(-0.1718) q[4], q[0];\ncry(-0.1679) q[3], q[1];\ncry(0.0662) q[5], q[2];\ncry(0.0647) q[1], q[3];\ncry(0.0625) q[5], q[3];\ncry(0.0592) q[0], q[4];\ncry(0.0564) q[1], q[4];\ncry(0.055) q[0], q[2];\ncry(-0.0504) q[1], q[2];\ncry(-0.0493) q[0], q[3];\ncry(-0.049) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":19770,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\ncry(-1.0342) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[4];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[4];\\nry(0.7003) q[3];\\nry(0.7003) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[4];\\nry(0.7003) q[3];\\nry(0.7003) q[2];\\nry(-0.4549) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[4];\\nry(0.7003) q[3];\\nry(0.7003) q[2];\\nry(-0.4549) q[1];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[4];\\nry(0.7003) q[3];\\nry(0.7003) q[2];\\nry(-0.4549) q[1];\\nry(-0.4549) q[0];\\nry(-0.4549) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[4];\\nry(0.7003) q[3];\\nry(0.7003) q[2];\\nry(-0.4549) q[1];\\nry(-0.4549) q[0];\\nry(-0.4549) q[5];\\ncry(0.4578) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[4], q[5];\\ncry(-1.0342) q[3], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[4];\\nry(0.7003) q[3];\\nry(0.7003) q[2];\\nry(-0.4549) q[1];\\nry(-0.4549) q[0];\\nry(-0.454"}}]
["e9e1c3bad7671d416f508c960af260f6","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}]}","{\"states\": [2997, 4021], \"expectation_value\": -11.335457761776276, \"params\": [[[1.5746, 1.864], [0.0028, -1.2873], [1.0173, 0.0027], [-0.050300000000000004, -0.0026000000000000003], [1.5751000000000002, 1.0082], [-0.0027, 1.0052], [-0.9881000000000001, -0.0031000000000000003], [0.0016, -0.0031000000000000003], [1.6975, 0.3856], [-0.5905, 0.5078], [-0.2165, 0.6822], [-0.16110000000000002, 1.5054], [1.0171000000000001, -1.0024]], [[-0.1527, 0.003], [-0.0032, 0.0018000000000000002], [-0.387, 0.0032], [-0.653, -0.0002], [1.5670000000000002, 0.0054], [0.0028, -0.0021000000000000003], [0.9758, -0.0023], [-0.0016, -0.0021000000000000003], [1.9584000000000001, 0.3763], [1.5991, 0.9244], [-0.2121, -0.8774000000000001], [0.1731, 1.2229], [0.1632, -0.8265]]], \"bitstrings\": [\"1010001001010\", \"1000001001010\"], \"total_optimization_steps\": 200, \"probabilities\": [0.21006389481541868, 0.2935122572950441], \"optimization_time\": 27.700053453445435}","0.5 * (Z(4) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(4)) + 1.0 * (Z(10) @ Z(8)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(12) @ Z(10)) + 0.5 * (Z(12) @ Z(5)) + 1.0 * (Z(12) @ Z(11)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(11)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(0) @ Z(7)) + -1.0 * (Z(0) @ Z(8)) + -1.0 * (Z(1) @ Z(7)) + -2.0 * (Z(1) @ Z(8)) + 0.8 * (Z(1) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(2) @ Z(10)) + -0.5 * (Z(2) @ Z(11)) + -0.5 * (Z(2) @ Z(12)) + 0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(11)) + -0.5 * (Z(3) @ Z(12)) + 0.5 * (Z(3) @ Z(6)) + 0.4 * (Z(3) @ Z(2)) + 2.5 * Z(7) + 2.5 * Z(4) + 5.0 * Z(8) + 2.0 * Z(10) + -1.0 * Z(5) + 1.0 * Z(11) + 1.0 * Z(12) + -1.0 * Z(6) + -0.7999999999999999 * Z(0) + -1.6 * Z(1) + 0.5 * Z(9) + -0.19999999999999996 * Z(2) + -0.19999999999999996 * Z(3)",15,13,2,"{\"smallest_eigenvalues\": [-12.200000000000003, -12.200000000000003, -12.200000000000003, -12.200000000000003], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -12.000000000000002, \"smallest_bitstrings\": [\"1000001001001\", \"1000000001000\", \"1000011001100\", \"1000001001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(1.5746) q[0];\nry(0.0028) q[1];\nry(1.0173) q[2];\nry(-0.0503) q[3];\nry(1.5751) q[4];\nry(-0.0027) q[5];\nry(-0.9881) q[6];\nry(0.0016) q[7];\nry(1.6975) q[8];\nry(-0.5905) q[9];\nry(-0.2165) q[10];\nry(-0.1611) q[11];\nry(1.0171) q[12];\ncx q[12], q[0];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.864) q[0];\nry(-1.2873) q[1];\nry(0.0027) q[2];\nry(-0.0026) q[3];\nry(1.0082) q[4];\nry(1.0052) q[5];\nry(-0.0031) q[6];\nry(-0.0031) q[7];\nry(0.3856) q[8];\nry(0.5078) q[9];\nry(0.6822) q[10];\nry(1.5054) q[11];\nry(-1.0024) q[12];\ncx q[12], q[11];\ncx q[0], q[12];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\nry(-0.1527) q[0];\nry(-0.0032) q[1];\nry(-0.387) q[2];\nry(-0.653) q[3];\nry(1.567) q[4];\nry(0.0028) q[5];\nry(0.9758) q[6];\nry(-0.0016) q[7];\nry(1.9584) q[8];\nry(1.5991) q[9];\nry(-0.2121) q[10];\nry(0.1731) q[11];\nry(0.1632) q[12];\ncx q[12], q[0];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.003) q[0];\nry(0.0018) q[1];\nry(0.0032) q[2];\nry(-0.0002) q[3];\nry(0.0054) q[4];\nry(-0.0021) q[5];\nry(-0.0023) q[6];\nry(-0.0021) q[7];\nry(0.3763) q[8];\nry(0.9244) q[9];\nry(-0.8774) q[10];\nry(1.2229) q[11];\nry(-0.8265) q[12];\ncx q[12], q[11];\ncx q[0], q[12];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\ncx q[12], q[0];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x13) q[0];\nry(x14) q[1];\nry(x15) q[2];\nry(x16) q[3];\nry(x17) q[4];\nry(x18) q[5];\nry(x19) q[6];\nry(x19) q[7];\nry(x20) q[8];\nry(x21) q[9];\nry(x22) q[10];\nry(x23) q[11];\nry(x24) q[12];\ncx q[12], q[11];\ncx q[0], q[12];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\nry(x25) q[0];\nry(x26) q[1];\nry(x27) q[2];\nry(x28) q[3];\nry(x29) q[4];\nry(x1) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x32) q[8];\nry(x33) q[9];\nry(x34) q[10];\nry(x35) q[11];\nry(x36) q[12];\ncx q[12], q[0];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x37) q[0];\nry(x38) q[1];\nry(x39) q[2];\nry(x40) q[3];\nry(x41) q[4];\nry(x42) q[5];\nry(x43) q[6];\nry(x42) q[7];\nry(x44) q[8];\nry(x45) q[9];\nry(x46) q[10];\nry(x47) q[11];\nry(x48) q[12];\ncx q[12], q[11];\ncx q[0], q[12];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["5fc8ddd9b490928efab5d46a7fda09a4","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 3}, {\"weight\": 18, \"source\": 0, \"target\": 5}, {\"weight\": 12, \"source\": 0, \"target\": 7}, {\"weight\": 7, \"source\": 1, \"target\": 4}, {\"weight\": 18, \"source\": 1, \"target\": 5}, {\"weight\": 11, \"source\": 1, \"target\": 6}, {\"weight\": 2, \"source\": 2, \"target\": 5}, {\"weight\": 12, \"source\": 2, \"target\": 4}]}","{\"states\": [206, 110], \"expectation_value\": -24.633788108195034, \"params\": [[0.0236, 0.009300000000000001, -0.0004, 0.0028], [-0.0757, -0.0799, -0.06280000000000001, -0.0509]], \"bitstrings\": [\"00110001\", \"10010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01812111605112541, 0.020444414016226556], \"optimization_time\": 6.750775098800659}","4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 3.5 * Z(0) + 6.0 * Z(2) + 18.0 * Z(1) + 8.0 * Z(3) + 5.5 * Z(5) + 18.0 * Z(4) + 6.0 * Z(6) + 5.5 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-59.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -55.0, \"smallest_bitstrings\": [\"10010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[2];\nrz(0.2124) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(0.2124) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(0.2124) q[1];\ncx q[2], q[1];\ncx q[3], q[5];\nrz(0.2124) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(0.2124) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.2124) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.2124) q[4];\ncx q[5], q[4];\ncx q[3], q[6];\nrz(0.2124) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.2124) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.2124) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.2124) q[7];\ncx q[6], q[7];\nrz(0.1652) q[0];\nrz(0.2832) q[2];\nrz(0.8496) q[1];\nrz(0.3776) q[3];\nrz(0.2596) q[5];\nrz(0.8496) q[4];\nrz(0.2832) q[6];\nrz(0.2596) q[7];\nh q[0];\nrz(-0.1514) q[0];\nh q[0];\nh q[1];\nrz(-0.1514) q[1];\nh q[1];\nh q[2];\nrz(-0.1514) q[2];\nh q[2];\nh q[3];\nrz(-0.1514) q[3];\nh q[3];\nh q[4];\nrz(-0.1514) q[4];\nh q[4];\nh q[5];\nrz(-0.1514) q[5];\nh q[5];\nh q[6];\nrz(-0.1514) q[6];\nh q[6];\nh q[7];\nrz(-0.1514) q[7];\nh q[7];\ncx q[0], q[2];\nrz(0.0837) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(0.0837) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(0.0837) q[1];\ncx q[2], q[1];\ncx q[3], q[5];\nrz(0.0837) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(0.0837) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0837) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.0837) q[4];\ncx q[5], q[4];\ncx q[3], q[6];\nrz(0.0837) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.0837) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.0837) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0837) q[7];\ncx q[6], q[7];\nrz(0.0651) q[0];\nrz(0.1116) q[2];\nrz(0.3348) q[1];\nrz(0.1488) q[3];\nrz(0.1023) q[5];\nrz(0.3348) q[4];\nrz(0.1116) q[6];\nrz(0.1023) q[7];\nh q[0];\nrz(-0.1598) q[0];\nh q[0];\nh q[1];\nrz(-0.1598) q[1];\nh q[1];\nh q[2];\nrz(-0.1598) q[2];\nh q[2];\nh q[3];\nrz(-0.1598) q[3];\nh q[3];\nh q[4];\nrz(-0.1598) q[4];\nh q[4];\nh q[5];\nrz(-0.1598) q[5];\nh q[5];\nh q[6];\nrz(-0.1598) q[6];\nh q[6];\nh q[7];\nrz(-0.1598) q[7];\nh q[7];\ncx q[0], q[2];\nrz(-0.0036) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(-0.0036) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(-0.0036) q[1];\ncx q[2], q[1];\ncx q[3], q[5];\nrz(-0.0036) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(-0.0036) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.0036) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(-0.0036) q[4];\ncx q[5], q[4];\ncx q[3], q[6];\nrz(-0.0036) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(-0.0036) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(-0.0036) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0036) q[7];\ncx q[6], q[7];\nrz(-0.0028) q[0];\nrz(-0.0048) q[2];\nrz(-0.0144) q[1];\nrz(-0.0064) q[3];\nrz(-0.0044) q[5];\nrz(-0.0144) q[4];\nrz(-0.0048) q[6];\nrz(-0.0044) q[7];\nh q[0];\nrz(-0.1256) q[0];\nh q[0];\nh q[1];\nrz(-0.1256) q[1];\nh q[1];\nh q[2];\nrz(-0.1256) q[2];\nh q[2];\nh q[3];\nrz(-0.1256) q[3];\nh q[3];\nh q[4];\nrz(-0.1256) q[4];\nh q[4];\nh q[5];\nrz(-0.1256) q[5];\nh q[5];\nh q[6];\nrz(-0.1256) q[6];\nh q[6];\nh q[7];\nrz(-0.1256) q[7];\nh q[7];\ncx q[0], q[2];\nrz(0.0252) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(0.0252) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(0.0252) q[1];\ncx q[2], q[1];\ncx q[3], q[5];\nrz(0.0252) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(0.0252) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0252) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.0252) q[4];\ncx q[5], q[4];\ncx q[3], q[6];\nrz(0.0252) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.0252) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.0252) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0252) q[7];\ncx q[6], q[7];\nrz(0.0196) q[0];\nrz(0.0336) q[2];\nrz(0.1008) q[1];\nrz(0.0448) q[3];\nrz(0.0308) q[5];\nrz(0.1008) q[4];\nrz(0.0336) q[6];\nrz(0.0308) q[7];\nh q[0];\nrz(-0.1018) q[0];\nh q[0];\nh q[1];\nrz(-0.1018) q[1];\nh q[1];\nh q[2];\nrz(-0.1018) q[2];\nh q[2];\nh q[3];\nrz(-0.1018) q[3];\nh q[3];\nh q[4];\nrz(-0.1018) q[4];\nh q[4];\nh q[5];\nrz(-0.1018) q[5];\nh q[5];\nh q[6];\nrz(-0.1018) q[6];\nh q[6];\nh q[7];\nrz(-0.1018) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[0];\nrz(x2) q[2];\nrz(x3) q[1];\nrz(x4) q[3];\nrz(x5) q[5];\nrz(x3) q[4];\nrz(x2) q[6];\nrz(x5) q[7];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\ncx q[0], q[2];\nrz(x7) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x7) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x7) q[1];\ncx q[2], q[1];\ncx q[3], q[5];\nrz(x7) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x7) q[4];\ncx q[5], q[4];\ncx q[3], q[6];\nrz(x7) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x7) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x7) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x7) q[7];\ncx q[6], q[7];\nrz(x8) q[0];\nrz(x9) q[2];\nrz(x10) q[1];\nrz(x11) q[3];\nrz(x12) q[5];\nrz(x10) q[4];\nrz(x9) q[6];\nrz(x12) q[7];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\nh q[7];\nrz(x13) q[7];\nh q[7];\ncx q[0], q[2];\nrz(x14) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x14) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x14) q[1];\ncx q[2], q[1];\ncx q[3], q[5];\nrz(x14) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x14) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x14) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x14) q[4];\ncx q[5], q[4];\ncx q[3], q[6];\nrz(x14) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x14) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x14) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x14) q[7];\ncx q[6], q[7];\nrz(x15) q[0];\nrz(x16) q[2];\nrz(x17) q[1];\nrz(x18) q[3];\nrz(x19) q[5];\nrz(x17) q[4];\nrz(x16) q[6];\nrz(x19) q[7];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nh q[7];\nrz(x20) q[7];\nh q[7];\ncx q[0], q[2];\nrz(x21) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x21) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x21) q[1];\ncx q[2], q[1];\ncx q[3], q[5];\nrz(x21) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x21) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x21) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x21) q[4];\ncx q[5], q[4];\ncx q[3], q[6];\nrz(x21) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x21) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x21) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x21) q[7];\ncx q[6], q[7];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[1];\nrz(x25) q[3];\nrz(x26) q[5];\nrz(x24) q[4];\nrz(x23) q[6];\nrz(x26) q[7];\nh q[0];\nrz(x27) q[0];\nh q[0];\nh q[1];\nrz(x27) q[1];\nh q[1];\nh q[2];\nrz(x27) q[2];\nh q[2];\nh q[3];\nrz(x27) q[3];\nh q[3];\nh q[4];\nrz(x27) q[4];\nh q[4];\nh q[5];\nrz(x27) q[5];\nh q[5];\nh q[6];\nrz(x27) q[6];\nh q[6];\nh q[7];\nrz(x27) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["ebed2b2f1ddd19051c3f8f1e6db408b8","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": []}","{\"states\": [431, 427], \"expectation_value\": -3.8430387534002453, \"params\": [0.8902, 0.1213, 0.9503, 0.1636, 0.46190000000000003, 0.3159, 0.9451, 0.202, 0.43570000000000003, 0.32630000000000003, 0.9424, 0.0714, 0.4797, 0.3321, 0.9294, 0.22460000000000002, 0.9308000000000001, 0.0442, 0.8785000000000001, 0.09730000000000001, 0.9509000000000001, 0.1872, 0.4559, 0.313, 0.9421, 0.194, 0.43860000000000005, 0.3104, 0.9368000000000001, 0.1428, 0.4706, 0.30870000000000003, 0.9197000000000001, 0.21810000000000002, 0.9236000000000001, 0.053200000000000004, 0.8744000000000001, 0.0067, 0.9495, 0.0021000000000000003, 0.4544, 0.0032, 0.937, 0.0057, 0.43820000000000003, 0.0099, 0.9315, 0.0021000000000000003, 0.4667, 0.006500000000000001, 0.9191, 0.0047, 0.9221, 0.0016, 0.0059, 0.2376, 0.3305, -0.3058, 0.3176, 0.2642, 0.0956, 0.34490000000000004, 0.21730000000000002, 0.08020000000000001, 0.1618, 0.3257, 0.3033, 0.3123, 0.3121, 0.3043, 0.3194, 0.159, 0.0012000000000000001, 0.0032, 0.0041, 0.0006000000000000001, 0.006900000000000001, 0.0057, 0.0027, 0.005200000000000001, 0.0009000000000000001], \"bitstrings\": [\"001010000\", \"001010100\"], \"total_optimization_steps\": 100, \"probabilities\": [0.1170145667073417, 0.22655268827447203], \"optimization_time\": 72.84772109985352}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 1.0 * Z(2) + 1.0 * Z(0) + 1.0 * Z(1) + 1.0 * Z(3) + 1.0 * Z(5) + 1.0 * Z(4) + 1.0 * Z(6) + 1.0 * Z(8) + 1.0 * Z(7)",18,9,3,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001100010\", \"100001010\", \"010001100\", \"001010100\", \"010100001\", \"100010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.8902) q[0];\nrz(0.1213) q[0];\nrx(0.9503) q[1];\nrz(0.1636) q[1];\nrx(0.4619) q[2];\nrz(0.3159) q[2];\nrx(0.9451) q[3];\nrz(0.202) q[3];\nrx(0.4357) q[4];\nrz(0.3263) q[4];\nrx(0.9424) q[5];\nrz(0.0714) q[5];\nrx(0.4797) q[6];\nrz(0.3321) q[6];\nrx(0.9294) q[7];\nrz(0.2246) q[7];\nrx(0.9308) q[8];\nrz(0.0442) q[8];\ncrz(0.0059) q[8], q[0];\ncrz(0.2173) q[7], q[8];\ncrz(0.3449) q[6], q[7];\ncrz(0.0956) q[5], q[6];\ncrz(0.2642) q[4], q[5];\ncrz(0.3176) q[3], q[4];\ncrz(-0.3058) q[2], q[3];\ncrz(0.3305) q[1], q[2];\ncrz(0.2376) q[0], q[1];\nrx(0.8785) q[0];\nrz(0.0973) q[0];\nrx(0.9509) q[1];\nrz(0.1872) q[1];\nrx(0.4559) q[2];\nrz(0.313) q[2];\nrx(0.9421) q[3];\nrz(0.194) q[3];\nrx(0.4386) q[4];\nrz(0.3104) q[4];\nrx(0.9368) q[5];\nrz(0.1428) q[5];\nrx(0.4706) q[6];\nrz(0.3087) q[6];\nrx(0.9197) q[7];\nrz(0.2181) q[7];\nrx(0.9236) q[8];\nrz(0.0532) q[8];\ncrz(0.0802) q[8], q[0];\ncrz(0.159) q[7], q[8];\ncrz(0.3194) q[6], q[7];\ncrz(0.3043) q[5], q[6];\ncrz(0.3121) q[4], q[5];\ncrz(0.3123) q[3], q[4];\ncrz(0.3033) q[2], q[3];\ncrz(0.3257) q[1], q[2];\ncrz(0.1618) q[0], q[1];\nrx(0.8744) q[0];\nrz(0.0067) q[0];\nrx(0.9495) q[1];\nrz(0.0021) q[1];\nrx(0.4544) q[2];\nrz(0.0032) q[2];\nrx(0.937) q[3];\nrz(0.0057) q[3];\nrx(0.4382) q[4];\nrz(0.0099) q[4];\nrx(0.9315) q[5];\nrz(0.0021) q[5];\nrx(0.4667) q[6];\nrz(0.0065) q[6];\nrx(0.9191) q[7];\nrz(0.0047) q[7];\nrx(0.9221) q[8];\nrz(0.0016) q[8];\ncrz(0.0012) q[8], q[0];\ncrz(0.0009) q[7], q[8];\ncrz(0.0052) q[6], q[7];\ncrz(0.0027) q[5], q[6];\ncrz(0.0057) q[4], q[5];\ncrz(0.0069) q[3], q[4];\ncrz(0.0006) q[2], q[3];\ncrz(0.0041) q[1], q[2];\ncrz(0.0032) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\ncrz(x45) q[8], q[0];\ncrz(x46) q[7], q[8];\ncrz(x47) q[6], q[7];\ncrz(x48) q[5], q[6];\ncrz(x49) q[4], q[5];\ncrz(x50) q[3], q[4];\ncrz(x51) q[2], q[3];\ncrz(x52) q[1], q[2];\ncrz(x53) q[0], q[1];\nrx(x54) q[0];\nrz(x55) q[0];\nrx(x56) q[1];\nrz(x57) q[1];\nrx(x58) q[2];\nrz(x59) q[2];\nrx(x60) q[3];\nrz(x61) q[3];\nrx(x62) q[4];\nrz(x63) q[4];\nrx(x64) q[5];\nrz(x57) q[5];\nrx(x65) q[6];\nrz(x66) q[6];\nrx(x67) q[7];\nrz(x68) q[7];\nrx(x69) q[8];\nrz(x70) q[8];\ncrz(x71) q[8], q[0];\ncrz(x72) q[7], q[8];\ncrz(x73) q[6], q[7];\ncrz(x74) q[5], q[6];\ncrz(x61) q[4], q[5];\ncrz(x75) q[3], q[4];\ncrz(x76) q[2], q[3];\ncrz(x77) q[1], q[2];\ncrz(x59) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 2}, {\"id\": 1}], \"edges\": []}}","{\"circuits\": [], \"gradients\": []}"]
["62cf0b1aa2f21b710dc273bc2e7c1873","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 6, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 6, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 2}]}","{\"states\": [21, 31], \"expectation_value\": -6.219099438712884, \"params\": null, \"bitstrings\": [\"101010\", \"100000\"], \"total_optimization_steps\": 54, \"probabilities\": [0.12953053585363375, 0.5652956544300739], \"optimization_time\": 50.20123791694641}","-0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-6.75, -6.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.75, \"smallest_bitstrings\": [\"100000\", \"100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[3];\ncry(1.5708) q[4], q[2];\ncry(1.5707) q[5], q[1];\nry(0.614) q[5];\ncry(-1.5394) q[5], q[0];\ncry(0.3623) q[2], q[1];\ncry(0.5361) q[1], q[5];\ncry(0.1049) q[1], q[2];\nry(0.23) q[4];\ncry(0.1174) q[5], q[2];\ncry(0.1392) q[3], q[4];\nry(0.065) q[2];\ncry(-0.1487) q[1], q[0];\ncry(0.3136) q[4], q[0];\ncry(0.1553) q[1], q[4];\ncry(0.0587) q[3], q[2];\ncry(0.3593) q[2], q[4];\nry(0.0342) q[1];\nry(0.0802) q[0];\ncry(-0.0346) q[3], q[5];\ncry(-0.0375) q[4], q[1];\ncry(-0.175) q[0], q[1];\ncry(0.0259) q[3], q[1];\ncry(0.1065) q[0], q[4];\ncry(0.082) q[2], q[0];\ncry(0.0442) q[0], q[2];\ncry(0.0447) q[5], q[4];\ncry(-0.0112) q[4], q[5];\ncry(-0.0191) q[0], q[5];\ncry(0.0114) q[2], q[5];\ncry(-0.0117) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":41809,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\ncry(1.5707) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\ncry(1.5707) q[5], q[1];\\nry(0.614) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\ncry(1.5707) q[5], q[1];\\nry(0.614) q[5];\\ncry(-1.5394) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\ncry(1.5707) q[5], q[1];\\nry(0.614) q[5];\\ncry(-1.5394) q[5], q[0];\\ncry(0.3623) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\ncry(1.5707) q[5], q[1];\\nry(0.614) q[5];\\ncry(-1.5394) q[5], q[0];\\ncry(0.3623) q[2], q[1];\\ncry(0.5361) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\ncry(1.5707) q[5], q[1];\\nry(0.614) q[5];\\ncry(-1.5394) q[5], q[0];\\ncry(0.3623) q[2], q[1];\\ncry(0.5361) q[1], q[5];\\ncry(0.1049) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\ncry(1.5707) q[5], q[1];\\nry(0.614) q[5];\\ncry(-1.5394) q[5], q[0];\\ncry(0.3623) q[2], q[1];\\ncry(0.5361) q[1], q[5];\\ncry(0.1049) q[1], q[2];\\nry(0.23) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\ncry(1.5707) q[5], q[1];\\nry(0.614) q[5];\\ncry(-1.5394) q[5], q[0];\\ncry(0.3623) q[2], q[1];\\ncry(0.5361) q[1], q[5];\\ncry(0.1049) q[1], q[2];\\nry(0.23) q[4];\\ncry(0.1174) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[3];\\ncry(1.5708) q[4], q[2];\\ncry(1.5707) q[5], q[1];\\nry(0.614) q[5];\\ncry(-1.5394) q[5], q[0];\\ncry(0.3623) q[2], q[1];\\ncry(0.5361) q[1], q[5];\\ncry"}}]
["30e28b56cad01a233ddf0894e9b7eaa8","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [158, 179], \"expectation_value\": -0.11726566694827706, \"params\": [[-0.013800000000000002, -0.047400000000000005, -0.0509], [-0.0354, 0.044000000000000004, 0.057800000000000004]], \"bitstrings\": [\"01100001\", \"01001100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00487696184010715, 0.00487696184010715], \"optimization_time\": 7.853197813034058}","0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -0.25 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + -0.25 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"10001010\", \"10010001\", \"01100001\", \"01001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.0138) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0069) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0069) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(-0.0069) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(0.0069) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(-0.0069) q[0];\ncx q[2], q[0];\ncx q[5], q[0];\nrz(-0.0069) q[0];\ncx q[5], q[0];\ncx q[2], q[5];\nrz(-0.0069) q[5];\ncx q[2], q[5];\ncx q[5], q[2];\ncx q[2], q[0];\nrz(0.0069) q[0];\ncx q[2], q[0];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(-0.0069) q[1];\ncx q[3], q[1];\ncx q[6], q[1];\nrz(-0.0069) q[1];\ncx q[6], q[1];\ncx q[6], q[3];\nrz(-0.0069) q[3];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(0.0069) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(-0.0069) q[5];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(-0.0069) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0069) q[7];\ncx q[6], q[7];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(0.0069) q[7];\ncx q[5], q[7];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(-0.0138) q[7];\ncx q[4], q[7];\nrz(0.0069) q[0];\nrz(0.0069) q[1];\nrz(0) q[2];\nrz(0) q[3];\nrz(0.0069) q[4];\nrz(0) q[5];\nrz(0) q[6];\nrz(0.0069) q[7];\nh q[0];\nrz(-0.0708) q[0];\nh q[0];\nh q[1];\nrz(-0.0708) q[1];\nh q[1];\nh q[2];\nrz(-0.0708) q[2];\nh q[2];\nh q[3];\nrz(-0.0708) q[3];\nh q[3];\nh q[4];\nrz(-0.0708) q[4];\nh q[4];\nh q[5];\nrz(-0.0708) q[5];\nh q[5];\nh q[6];\nrz(-0.0708) q[6];\nh q[6];\nh q[7];\nrz(-0.0708) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0474) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0237) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0237) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(-0.0237) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(0.0237) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(-0.0237) q[0];\ncx q[2], q[0];\ncx q[5], q[0];\nrz(-0.0237) q[0];\ncx q[5], q[0];\ncx q[2], q[5];\nrz(-0.0237) q[5];\ncx q[2], q[5];\ncx q[5], q[2];\ncx q[2], q[0];\nrz(0.0237) q[0];\ncx q[2], q[0];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(-0.0237) q[1];\ncx q[3], q[1];\ncx q[6], q[1];\nrz(-0.0237) q[1];\ncx q[6], q[1];\ncx q[6], q[3];\nrz(-0.0237) q[3];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(0.0237) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(-0.0237) q[5];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(-0.0237) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0237) q[7];\ncx q[6], q[7];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(0.0237) q[7];\ncx q[5], q[7];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(-0.0474) q[7];\ncx q[4], q[7];\nrz(0.0237) q[0];\nrz(0.0237) q[1];\nrz(0) q[2];\nrz(0) q[3];\nrz(0.0237) q[4];\nrz(0) q[5];\nrz(0) q[6];\nrz(0.0237) q[7];\nh q[0];\nrz(0.088) q[0];\nh q[0];\nh q[1];\nrz(0.088) q[1];\nh q[1];\nh q[2];\nrz(0.088) q[2];\nh q[2];\nh q[3];\nrz(0.088) q[3];\nh q[3];\nh q[4];\nrz(0.088) q[4];\nh q[4];\nh q[5];\nrz(0.088) q[5];\nh q[5];\nh q[6];\nrz(0.088) q[6];\nh q[6];\nh q[7];\nrz(0.088) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0509) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0255) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0255) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(-0.0255) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(0.0255) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(-0.0255) q[0];\ncx q[2], q[0];\ncx q[5], q[0];\nrz(-0.0255) q[0];\ncx q[5], q[0];\ncx q[2], q[5];\nrz(-0.0255) q[5];\ncx q[2], q[5];\ncx q[5], q[2];\ncx q[2], q[0];\nrz(0.0255) q[0];\ncx q[2], q[0];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(-0.0255) q[1];\ncx q[3], q[1];\ncx q[6], q[1];\nrz(-0.0255) q[1];\ncx q[6], q[1];\ncx q[6], q[3];\nrz(-0.0255) q[3];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(0.0255) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(-0.0255) q[5];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(-0.0255) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0255) q[7];\ncx q[6], q[7];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(0.0255) q[7];\ncx q[5], q[7];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(-0.0509) q[7];\ncx q[4], q[7];\nrz(0.0255) q[0];\nrz(0.0255) q[1];\nrz(0) q[2];\nrz(0) q[3];\nrz(0.0255) q[4];\nrz(0) q[5];\nrz(0) q[6];\nrz(0.0255) q[7];\nh q[0];\nrz(0.1156) q[0];\nh q[0];\nh q[1];\nrz(0.1156) q[1];\nh q[1];\nh q[2];\nrz(0.1156) q[2];\nh q[2];\nh q[3];\nrz(0.1156) q[3];\nh q[3];\nh q[4];\nrz(0.1156) q[4];\nh q[4];\nh q[5];\nrz(0.1156) q[5];\nh q[5];\nh q[6];\nrz(0.1156) q[6];\nh q[6];\nh q[7];\nrz(0.1156) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x2) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[5], q[0];\nrz(x1) q[0];\ncx q[5], q[0];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[5], q[2];\ncx q[2], q[0];\nrz(x2) q[0];\ncx q[2], q[0];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[6], q[1];\nrz(x1) q[1];\ncx q[6], q[1];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(x2) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(x1) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\nrz(x2) q[0];\nrz(x2) q[1];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x2) q[4];\nrz(x3) q[5];\nrz(x3) q[6];\nrz(x2) q[7];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x6) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x6) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x7) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(x6) q[0];\ncx q[2], q[0];\ncx q[5], q[0];\nrz(x6) q[0];\ncx q[5], q[0];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\ncx q[5], q[2];\ncx q[2], q[0];\nrz(x7) q[0];\ncx q[2], q[0];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(x6) q[1];\ncx q[3], q[1];\ncx q[6], q[1];\nrz(x6) q[1];\ncx q[6], q[1];\ncx q[6], q[3];\nrz(x6) q[3];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(x7) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(x6) q[5];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(x6) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x6) q[7];\ncx q[6], q[7];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(x7) q[7];\ncx q[5], q[7];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(x5) q[7];\ncx q[4], q[7];\nrz(x7) q[0];\nrz(x7) q[1];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x7) q[4];\nrz(x3) q[5];\nrz(x3) q[6];\nrz(x7) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x10) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x10) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[2], q[0];\nrz(x10) q[0];\ncx q[2], q[0];\ncx q[5], q[0];\nrz(x10) q[0];\ncx q[5], q[0];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[5], q[2];\ncx q[2], q[0];\nrz(x11) q[0];\ncx q[2], q[0];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(x10) q[1];\ncx q[3], q[1];\ncx q[6], q[1];\nrz(x10) q[1];\ncx q[6], q[1];\ncx q[6], q[3];\nrz(x10) q[3];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\ncx q[6], q[5];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[6], q[5];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\nrz(x11) q[0];\nrz(x11) q[1];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x11) q[4];\nrz(x3) q[5];\nrz(x3) q[6];\nrz(x11) q[7];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["f5d94ed048c28683c088d45a2d452aca","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [101, 117], \"expectation_value\": -1.7461462060937782, \"params\": [0.3518, 0.4027, 0.4419, 0.39440000000000003, 1.0070000000000001, -0.007500000000000001, 1.0090000000000001, -0.005200000000000001, 0.8482000000000001, -0.24810000000000001, 0.3512, -0.4107, 1.0015, -0.0013000000000000002, -0.0025, -0.0031000000000000003, 1.0085, 0.15030000000000002, 0.3527, 0.0025, 0.42850000000000005, 0.0013000000000000002, 1.0061, 0.0014, 1.0027000000000001, 0.0063, 0.8426, 0.0002, 0.35350000000000004, 0.006500000000000001, 1.0086, 0.0048000000000000004, 0.0064, 0.0027, 0.999, 0.0048000000000000004, 0.3239, 0.4055, 0.1267, 0.0021000000000000003, -0.009600000000000001, -0.4293, -0.4132, 0.0117, -0.0031000000000000003, 0.0001, 0.0001, 0.0051, 0.0008, 0.0005, 0.0097, 0.0086, 0.0015, 0.0], \"bitstrings\": [\"110011010\", \"110001010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.07365215060969116, 0.09480979559314973], \"optimization_time\": 37.38917827606201}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(7) @ Z(2)) + 0.0625 * (Z(8) @ Z(2)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(3) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) + 0.0625 * (Z(6) @ Z(8)) + 0.0625 * (Z(8) @ Z(7)) + -0.0625 * (Z(3) @ Z(6) @ Z(2)) + -0.0625 * (Z(3) @ Z(7) @ Z(2)) + -0.0625 * (Z(3) @ Z(8) @ Z(2)) + -0.0625 * (Z(6) @ Z(7) @ Z(2)) + -0.0625 * (Z(6) @ Z(8) @ Z(2)) + -0.0625 * (Z(7) @ Z(8) @ Z(2)) + -0.0625 * (Z(3) @ Z(6) @ Z(7)) + -0.0625 * (Z(3) @ Z(6) @ Z(8)) + -0.0625 * (Z(3) @ Z(8) @ Z(7)) + -0.0625 * (Z(6) @ Z(8) @ Z(7)) + 0.0625 * (Z(3) @ Z(6) @ Z(7) @ Z(2)) + 0.0625 * (Z(3) @ Z(6) @ Z(8) @ Z(2)) + 0.0625 * (Z(3) @ Z(7) @ Z(8) @ Z(2)) + 0.0625 * (Z(7) @ Z(6) @ Z(8) @ Z(2)) + 0.0625 * (Z(3) @ Z(6) @ Z(8) @ Z(7)) + -0.0625 * (Z(2) @ Z(6) @ Z(8) @ Z(7) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + 0.1875 * Z(2) + -0.0625 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 0.1875 * Z(6) + -0.5625 * Z(7) + -0.0625 * Z(8)",18,9,2,"{\"smallest_eigenvalues\": [-3.5625, -3.5625, -3.5625, -3.5625], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.5625, \"smallest_bitstrings\": [\"100010011\", \"100011010\", \"010101010\", \"110001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.3518) q[0];\nrz(0.4027) q[0];\nrx(0.4419) q[1];\nrz(0.3944) q[1];\nrx(1.007) q[2];\nrz(-0.0075) q[2];\nrx(1.009) q[3];\nrz(-0.0052) q[3];\nrx(0.8482) q[4];\nrz(-0.2481) q[4];\nrx(0.3512) q[5];\nrz(-0.4107) q[5];\nrx(1.0015) q[6];\nrz(-0.0013) q[6];\nrx(-0.0025) q[7];\nrz(-0.0031) q[7];\nrx(1.0085) q[8];\nrz(0.1503) q[8];\ncrz(0.3239) q[8], q[0];\ncrz(-0.0031) q[7], q[8];\ncrz(0.0117) q[6], q[7];\ncrz(-0.4132) q[5], q[6];\ncrz(-0.4293) q[4], q[5];\ncrz(-0.0096) q[3], q[4];\ncrz(0.0021) q[2], q[3];\ncrz(0.1267) q[1], q[2];\ncrz(0.4055) q[0], q[1];\nrx(0.3527) q[0];\nrz(0.0025) q[0];\nrx(0.4285) q[1];\nrz(0.0013) q[1];\nrx(1.0061) q[2];\nrz(0.0014) q[2];\nrx(1.0027) q[3];\nrz(0.0063) q[3];\nrx(0.8426) q[4];\nrz(0.0002) q[4];\nrx(0.3535) q[5];\nrz(0.0065) q[5];\nrx(1.0086) q[6];\nrz(0.0048) q[6];\nrx(0.0064) q[7];\nrz(0.0027) q[7];\nrx(0.999) q[8];\nrz(0.0048) q[8];\ncrz(0.0001) q[8], q[0];\ncrz(0) q[7], q[8];\ncrz(0.0015) q[6], q[7];\ncrz(0.0086) q[5], q[6];\ncrz(0.0097) q[4], q[5];\ncrz(0.0005) q[3], q[4];\ncrz(0.0008) q[2], q[3];\ncrz(0.0051) q[1], q[2];\ncrz(0.0001) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x15) q[7], q[8];\ncrz(x19) q[6], q[7];\ncrz(x20) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x22) q[3], q[4];\ncrz(x23) q[2], q[3];\ncrz(x24) q[1], q[2];\ncrz(x25) q[0], q[1];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x36) q[5];\nrz(x37) q[5];\nrx(x38) q[6];\nrz(x39) q[6];\nrx(x40) q[7];\nrz(x41) q[7];\nrx(x42) q[8];\nrz(x39) q[8];\ncrz(x43) q[8], q[0];\ncrz(x44) q[7], q[8];\ncrz(x45) q[6], q[7];\ncrz(x46) q[5], q[6];\ncrz(x47) q[4], q[5];\ncrz(x48) q[3], q[4];\ncrz(x49) q[2], q[3];\ncrz(x50) q[1], q[2];\ncrz(x43) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["502ac3914841f8a39fec13c14696a599","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [1848, 1850], \"expectation_value\": -1.6661108102444622, \"params\": [0.5992000000000001, 0.6007, 0.604, 0.6008, 0.5993, 0.5966, 0.12290000000000001, 0.1247, 0.0942, 0.0954, 0.5765, 0.5735, 0.5939, 0.5839, 0.5954, 0.5944, 0.17250000000000001, 0.17320000000000002, 0.4354, 0.4612, 0.28200000000000003, 0.2766, 0.5974, 0.6017, 0.5987, 0.6031000000000001, 0.6032000000000001, 0.5963, 0.1187, 0.1163, 0.09190000000000001, 0.0859, 0.5848, 0.5017, 0.5704, 0.5287000000000001, 0.5924, 0.6001000000000001, 0.17200000000000001, 0.1626, 0.4435, 0.47290000000000004, 0.2852, 0.2587, 0.4439, -0.044700000000000004, 0.3546, 0.21780000000000002, 0.16490000000000002, 0.41050000000000003, -0.2199, 0.5581, -0.011300000000000001, -0.07440000000000001, 0.3609, 0.033800000000000004, 0.44070000000000004, 0.45180000000000003, 0.3919, 0.5513, -0.1855, 0.5256000000000001, 0.556, -0.049300000000000004, -0.1442, 0.3135, 0.5713, 0.11080000000000001, 0.4052, 0.25680000000000003, 0.5911000000000001, 0.5699000000000001, -0.016800000000000002, 0.35950000000000004, 0.0251, 0.0074, -0.459, 0.0589, 0.5797, -0.4238, 0.5546, 0.40890000000000004, -0.0048000000000000004, 0.37820000000000004, 0.18760000000000002, 0.047, 0.0453, 0.5695], \"bitstrings\": [\"00011000111\", \"00011000101\"], \"total_optimization_steps\": 60, \"probabilities\": [0.08773000647891899, 0.14279205815047932], \"optimization_time\": 17.072783708572388}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(6) @ Z(0) @ Z(7)) + -0.125 * (Z(6) @ Z(0) @ Z(8)) + -0.125 * (Z(0) @ Z(7) @ Z(8)) + -0.125 * (Z(6) @ Z(7) @ Z(8)) + 0.125 * (Z(6) @ Z(0) @ Z(7) @ Z(8)) + 0.25 * (Z(6) @ Z(9)) + 0.25 * (Z(6) @ Z(10)) + 0.25 * (Z(9) @ Z(10)) + -0.25 * (Z(6) @ Z(9) @ Z(10)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(9)) + 0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(1) @ Z(9) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(10) @ Z(2)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(7) @ Z(10)) + -0.125 * (Z(7) @ Z(2) @ Z(5)) + -0.125 * (Z(2) @ Z(10) @ Z(5)) + -0.125 * (Z(7) @ Z(10) @ Z(2)) + -0.125 * (Z(7) @ Z(10) @ Z(5)) + 0.125 * (Z(7) @ Z(2) @ Z(10) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.25 * Z(0) + 0.125 * Z(1) + 0.25 * Z(2) + -0.125 * Z(3) + -0.25 * Z(4) + -0.125 * Z(5) + 0.125 * Z(6) + 0.25 * Z(7) + -0.125 * Z(8) + 0.0 * Z(9) + 0.125 * Z(10)",14,11,2,"{\"smallest_eigenvalues\": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], \"number_of_smallest_eigenvalues\": 23, \"first_excited_energy\": -2.375, \"smallest_bitstrings\": [\"00011011000\", \"00011010001\", \"00010110010\", \"00111010000\", \"01000100110\", \"01000100101\", \"01000110100\", \"01001000101\", \"00011001010\", \"00011001001\", \"01010110000\", \"00101000110\", \"00101000101\", \"00101010100\", \"00100100110\", \"10001000101\", \"10010100010\", \"10000100110\", \"00011000101\", \"00011110000\", \"10011000001\", \"00010101010\", \"00010100110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.5992) q[0];\nry(0.604) q[1];\nry(0.5993) q[2];\nry(0.1229) q[3];\nry(0.0942) q[4];\nry(0.5765) q[5];\nry(0.5939) q[6];\nry(0.5954) q[7];\nry(0.1725) q[8];\nry(0.4354) q[9];\nry(0.282) q[10];\ncrx(0.4439) q[10], q[0];\ncrx(-0.1442) q[9], q[10];\ncrx(0.556) q[8], q[9];\ncrx(-0.1855) q[7], q[8];\ncrx(0.3919) q[6], q[7];\ncrx(0.4407) q[5], q[6];\ncrx(0.3609) q[4], q[5];\ncrx(-0.0113) q[3], q[4];\ncrx(-0.2199) q[2], q[3];\ncrx(0.1649) q[1], q[2];\ncrx(0.3546) q[0], q[1];\nry(0.6007) q[0];\nry(0.6008) q[1];\nry(0.5966) q[2];\nry(0.1247) q[3];\nry(0.0954) q[4];\nry(0.5735) q[5];\nry(0.5839) q[6];\nry(0.5944) q[7];\nry(0.1732) q[8];\nry(0.4612) q[9];\nry(0.2766) q[10];\ncrx(-0.0447) q[10], q[9];\ncrx(0.2178) q[0], q[10];\ncrx(0.4105) q[0], q[1];\ncrx(0.5581) q[1], q[2];\ncrx(-0.0744) q[2], q[3];\ncrx(0.0338) q[3], q[4];\ncrx(0.4518) q[4], q[5];\ncrx(0.5513) q[5], q[6];\ncrx(0.5256) q[6], q[7];\ncrx(-0.0493) q[7], q[8];\ncrx(0.3135) q[8], q[9];\nry(0.5974) q[0];\nry(0.5987) q[1];\nry(0.6032) q[2];\nry(0.1187) q[3];\nry(0.0919) q[4];\nry(0.5848) q[5];\nry(0.5704) q[6];\nry(0.5924) q[7];\nry(0.172) q[8];\nry(0.4435) q[9];\nry(0.2852) q[10];\ncrx(0.5713) q[10], q[0];\ncrx(0.0453) q[9], q[10];\ncrx(0.1876) q[8], q[9];\ncrx(-0.0048) q[7], q[8];\ncrx(0.5546) q[6], q[7];\ncrx(0.5797) q[5], q[6];\ncrx(-0.459) q[4], q[5];\ncrx(0.0251) q[3], q[4];\ncrx(-0.0168) q[2], q[3];\ncrx(0.5911) q[1], q[2];\ncrx(0.4052) q[0], q[1];\nry(0.6017) q[0];\nry(0.6031) q[1];\nry(0.5963) q[2];\nry(0.1163) q[3];\nry(0.0859) q[4];\nry(0.5017) q[5];\nry(0.5287) q[6];\nry(0.6001) q[7];\nry(0.1626) q[8];\nry(0.4729) q[9];\nry(0.2587) q[10];\ncrx(0.1108) q[10], q[9];\ncrx(0.2568) q[0], q[10];\ncrx(0.5699) q[0], q[1];\ncrx(0.3595) q[1], q[2];\ncrx(0.0074) q[2], q[3];\ncrx(0.0589) q[3], q[4];\ncrx(-0.4238) q[4], q[5];\ncrx(0.4089) q[5], q[6];\ncrx(0.3782) q[6], q[7];\ncrx(0.047) q[7], q[8];\ncrx(0.5695) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrx(x11) q[10], q[0];\ncrx(x12) q[9], q[10];\ncrx(x13) q[8], q[9];\ncrx(x14) q[7], q[8];\ncrx(x15) q[6], q[7];\ncrx(x16) q[5], q[6];\ncrx(x17) q[4], q[5];\ncrx(x18) q[3], q[4];\ncrx(x19) q[2], q[3];\ncrx(x20) q[1], q[2];\ncrx(x21) q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncrx(x33) q[10], q[9];\ncrx(x34) q[0], q[10];\ncrx(x35) q[0], q[1];\ncrx(x36) q[1], q[2];\ncrx(x37) q[2], q[3];\ncrx(x38) q[3], q[4];\ncrx(x39) q[4], q[5];\ncrx(x40) q[5], q[6];\ncrx(x41) q[6], q[7];\ncrx(x42) q[7], q[8];\ncrx(x43) q[8], q[9];\nry(x44) q[0];\nry(x45) q[1];\nry(x46) q[2];\nry(x47) q[3];\nry(x48) q[4];\nry(x49) q[5];\nry(x50) q[6];\nry(x51) q[7];\nry(x52) q[8];\nry(x53) q[9];\nry(x54) q[10];\ncrx(x55) q[10], q[0];\ncrx(x56) q[9], q[10];\ncrx(x57) q[8], q[9];\ncrx(x58) q[7], q[8];\ncrx(x59) q[6], q[7];\ncrx(x60) q[5], q[6];\ncrx(x61) q[4], q[5];\ncrx(x62) q[3], q[4];\ncrx(x63) q[2], q[3];\ncrx(x64) q[1], q[2];\ncrx(x65) q[0], q[1];\nry(x66) q[0];\nry(x67) q[1];\nry(x68) q[2];\nry(x69) q[3];\nry(x70) q[4];\nry(x71) q[5];\nry(x72) q[6];\nry(x73) q[7];\nry(x74) q[8];\nry(x75) q[9];\nry(x76) q[10];\ncrx(x77) q[10], q[9];\ncrx(x78) q[0], q[10];\ncrx(x79) q[0], q[1];\ncrx(x80) q[1], q[2];\ncrx(x81) q[2], q[3];\ncrx(x82) q[3], q[4];\ncrx(x83) q[4], q[5];\ncrx(x84) q[5], q[6];\ncrx(x85) q[6], q[7];\ncrx(x86) q[7], q[8];\ncrx(x87) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["3149612231183658205","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], \"hyperedges\": [[1, 4, 6, 7, 8, 10, 12, 13], [4, 5, 7, 10, 11], [0, 1, 2, 3, 5, 6, 7, 8, 10, 12], [0, 2, 4, 5, 7, 12, 13], [1, 2, 4, 8, 9, 11, 12, 13], [0, 2, 3, 4, 6, 7, 8], [8, 3, 13], [0, 1, 2, 3, 4, 10, 11, 13], [1, 2, 3, 4, 5, 8, 9], [1, 5, 6, 7, 9], [1, 3, 4, 7, 9, 10, 12], [0, 1, 3, 4, 5, 6, 7, 11, 12, 13], [10, 2, 11, 6], [9, 12, 6]]}","{\"states\": [6027, 8075], \"expectation_value\": -2.1512945232056246, \"params\": [0.7073, 0.7133, 1.3414000000000001, 1.3434000000000001, 0.8165, 0.8116, 1.4023, 1.4046, 1.3572, 1.3571, 1.3766, 1.3696000000000002, 1.4120000000000001, 1.4156, 0.7113, 0.7023, 0.6726000000000001, 0.6758000000000001, 0.6752, 0.6682, 1.3716000000000002, 1.3522, 0.6747000000000001, 0.6725, 1.3511, 1.3727, 1.3761, 1.3780000000000001, -0.0465, 0.001, 0.41900000000000004, 0.0047, 0.018000000000000002, 0.009000000000000001, 0.0041, 0.0051, 0.0013000000000000002, 0.0078000000000000005, 0.004, 0.0041, 0.0838, 0.00030000000000000003, 0.2551, 0.0037, -0.44830000000000003, 0.0005, 0.43660000000000004, 0.0002, -0.5025000000000001, 0.0076, -0.40040000000000003, 0.007500000000000001, 0.5053, 0.0049, -0.007, 0.0018000000000000002], \"bitstrings\": [\"10100001110100\", \"10000001110100\"], \"total_optimization_steps\": 160, \"probabilities\": [0.02708679985588795, 0.03038780909571423], \"optimization_time\": 183.83393025398254}","0.1123015873015873 * (Z(1) @ Z(4)) + 0.05277777777777778 * (Z(6) @ Z(4)) + 0.09007936507936508 * (Z(6) @ Z(1)) + 0.1503968253968254 * (Z(7) @ Z(4)) + 0.11388888888888889 * (Z(7) @ Z(1)) + 0.11388888888888889 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.07063492063492063 * (Z(8) @ Z(1)) + 0.05277777777777778 * (Z(8) @ Z(6)) + 0.05277777777777778 * (Z(8) @ Z(7)) + 0.10952380952380952 * (Z(10) @ Z(4)) + 0.07063492063492063 * (Z(10) @ Z(1)) + 0.11230158730158729 * (Z(10) @ Z(6)) + 0.10277777777777779 * (Z(10) @ Z(7)) + 0.02896825396825397 * (Z(10) @ Z(8)) + 0.09444444444444444 * (Z(12) @ Z(4)) + 0.08174603174603175 * (Z(12) @ Z(1)) + 0.20674603174603173 * (Z(12) @ Z(6)) + 0.0876984126984127 * (Z(12) @ Z(7)) + 0.046825396825396826 * (Z(12) @ Z(8)) + 0.05277777777777778 * (Z(12) @ Z(10)) + 0.0884920634920635 * (Z(13) @ Z(4)) + 0.06468253968253967 * (Z(13) @ Z(1)) + 0.02896825396825397 * (Z(13) @ Z(6)) + 0.05277777777777778 * (Z(13) @ Z(7)) + 0.20238095238095238 * (Z(13) @ Z(8)) + 0.03571428571428571 * (Z(13) @ Z(10)) + 0.07063492063492063 * (Z(13) @ Z(12)) + 0.10873015873015873 * (Z(5) @ Z(4)) + 0.09603174603174604 * (Z(5) @ Z(1)) + 0.07222222222222223 * (Z(5) @ Z(6)) + 0.14603174603174604 * (Z(5) @ Z(7)) + 0.03492063492063492 * (Z(5) @ Z(8)) + 0.061111111111111116 * (Z(5) @ Z(10)) + 0.046031746031746035 * (Z(5) @ Z(12)) + 0.03492063492063492 * (Z(5) @ Z(13)) + 0.09682539682539683 * (Z(11) @ Z(4)) + 0.046825396825396826 * (Z(11) @ Z(1)) + 0.09444444444444444 * (Z(11) @ Z(6)) + 0.061111111111111116 * (Z(11) @ Z(7)) + 0.017857142857142856 * (Z(11) @ Z(8)) + 0.1511904761904762 * (Z(11) @ Z(10)) + 0.02896825396825397 * (Z(11) @ Z(12)) + 0.046825396825396826 * (Z(11) @ Z(13)) + 0.061111111111111116 * (Z(11) @ Z(5)) + 0.07658730158730158 * (Z(0) @ Z(4)) + 0.04007936507936508 * (Z(0) @ Z(1)) + 0.046031746031746035 * (Z(0) @ Z(6)) + 0.06984126984126984 * (Z(0) @ Z(7)) + 0.03492063492063492 * (Z(0) @ Z(8)) + 0.02896825396825397 * (Z(0) @ Z(10)) + 0.046031746031746035 * (Z(0) @ Z(12)) + 0.05277777777777778 * (Z(0) @ Z(13)) + 0.046031746031746035 * (Z(0) @ Z(5)) + 0.02896825396825397 * (Z(0) @ Z(11)) + 0.10714285714285712 * (Z(2) @ Z(4)) + 0.07063492063492063 * (Z(2) @ Z(1)) + 0.11825396825396825 * (Z(2) @ Z(6)) + 0.05873015873015873 * (Z(2) @ Z(7)) + 0.07658730158730159 * (Z(2) @ Z(8)) + 0.11230158730158729 * (Z(2) @ Z(10)) + 0.05277777777777778 * (Z(2) @ Z(12)) + 0.05952380952380952 * (Z(2) @ Z(13)) + 0.05873015873015873 * (Z(2) @ Z(5)) + 0.11904761904761904 * (Z(2) @ Z(11)) + 0.07658730158730159 * (Z(2) @ Z(0)) + 0.10039682539682539 * (Z(3) @ Z(4)) + 0.0876984126984127 * (Z(3) @ Z(1)) + 0.046031746031746035 * (Z(3) @ Z(6)) + 0.06984126984126984 * (Z(3) @ Z(7)) + 0.2253968253968254 * (Z(3) @ Z(8)) + 0.05277777777777778 * (Z(3) @ Z(10)) + 0.046031746031746035 * (Z(3) @ Z(12)) + 0.1956349206349206 * (Z(3) @ Z(13)) + 0.046031746031746035 * (Z(3) @ Z(5)) + 0.02896825396825397 * (Z(3) @ Z(11)) + 0.06388888888888888 * (Z(3) @ Z(0)) + 0.07658730158730159 * (Z(3) @ Z(2)) + 0.06547619047619047 * (Z(9) @ Z(4)) + 0.11547619047619048 * (Z(9) @ Z(1)) + 0.21666666666666667 * (Z(9) @ Z(6)) + 0.07380952380952381 * (Z(9) @ Z(7)) + 0.041666666666666664 * (Z(9) @ Z(8)) + 0.023809523809523808 * (Z(9) @ Z(10)) + 0.20833333333333331 * (Z(9) @ Z(12)) + 0.017857142857142856 * (Z(9) @ Z(13)) + 0.07380952380952381 * (Z(9) @ Z(5)) + 0.017857142857142856 * (Z(9) @ Z(11)) + 0.041666666666666664 * (Z(9) @ Z(2)) + 0.047619047619047616 * (Z(9) @ Z(3)) + 0.6232142857142857 * Z(4) + 0.5303571428571429 * Z(1) + 0.6255952380952381 * Z(6) + 0.5767857142857142 * Z(7) + 0.4845238095238097 * Z(8) + 0.47142857142857153 * Z(10) + 0.5345238095238095 * Z(12) + 0.4755952380952382 * Z(13) + 0.4428571428571428 * Z(5) + 0.40000000000000013 * Z(11) + 0.30535714285714294 * Z(0) + 0.5142857142857145 * Z(2) + 0.5434523809523811 * Z(3) + 0.4720238095238095 * Z(9)",13,14,1,"{\"smallest_eigenvalues\": [-2.8821428571427696], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.8599206349205, \"smallest_bitstrings\": [\"10000001110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nry(0.7073) q[0];\nry(1.3414) q[1];\nry(0.8165) q[2];\nry(1.4023) q[3];\nry(1.3572) q[4];\nry(1.3766) q[5];\nry(1.412) q[6];\nry(0.7113) q[7];\nry(0.6726) q[8];\nry(0.6752) q[9];\nry(1.3716) q[10];\nry(0.6747) q[11];\nry(1.3511) q[12];\nry(1.3761) q[13];\ncrz(-0.0465) q[13], q[0];\ncrz(-0.007) q[12], q[13];\ncrz(0.5053) q[11], q[12];\ncrz(-0.4004) q[10], q[11];\ncrz(-0.5025) q[9], q[10];\ncrz(0.4366) q[8], q[9];\ncrz(-0.4483) q[7], q[8];\ncrz(0.2551) q[6], q[7];\ncrz(0.0838) q[5], q[6];\ncrz(0.004) q[4], q[5];\ncrz(0.0013) q[3], q[4];\ncrz(0.0041) q[2], q[3];\ncrz(0.018) q[1], q[2];\ncrz(0.419) q[0], q[1];\nry(0.7133) q[0];\nry(1.3434) q[1];\nry(0.8116) q[2];\nry(1.4046) q[3];\nry(1.3571) q[4];\nry(1.3696) q[5];\nry(1.4156) q[6];\nry(0.7023) q[7];\nry(0.6758) q[8];\nry(0.6682) q[9];\nry(1.3522) q[10];\nry(0.6725) q[11];\nry(1.3727) q[12];\nry(1.378) q[13];\ncrz(0.001) q[13], q[12];\ncrz(0.0047) q[0], q[13];\ncrz(0.009) q[0], q[1];\ncrz(0.0051) q[1], q[2];\ncrz(0.0078) q[2], q[3];\ncrz(0.0041) q[3], q[4];\ncrz(0.0003) q[4], q[5];\ncrz(0.0037) q[5], q[6];\ncrz(0.0005) q[6], q[7];\ncrz(0.0002) q[7], q[8];\ncrz(0.0076) q[8], q[9];\ncrz(0.0075) q[9], q[10];\ncrz(0.0049) q[10], q[11];\ncrz(0.0018) q[11], q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[14] c;\nqubit[14] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\nry(x13) q[13];\ncrz(x14) q[13], q[0];\ncrz(x15) q[12], q[13];\ncrz(x16) q[11], q[12];\ncrz(x17) q[10], q[11];\ncrz(x18) q[9], q[10];\ncrz(x19) q[8], q[9];\ncrz(x20) q[7], q[8];\ncrz(x21) q[6], q[7];\ncrz(x22) q[5], q[6];\ncrz(x23) q[4], q[5];\ncrz(x24) q[3], q[4];\ncrz(x25) q[2], q[3];\ncrz(x26) q[1], q[2];\ncrz(x27) q[0], q[1];\nry(x28) q[0];\nry(x29) q[1];\nry(x30) q[2];\nry(x31) q[3];\nry(x32) q[4];\nry(x33) q[5];\nry(x34) q[6];\nry(x35) q[7];\nry(x36) q[8];\nry(x37) q[9];\nry(x38) q[10];\nry(x39) q[11];\nry(x40) q[12];\nry(x41) q[13];\ncrz(x42) q[13], q[12];\ncrz(x43) q[0], q[13];\ncrz(x44) q[0], q[1];\ncrz(x45) q[1], q[2];\ncrz(x46) q[2], q[3];\ncrz(x25) q[3], q[4];\ncrz(x47) q[4], q[5];\ncrz(x48) q[5], q[6];\ncrz(x49) q[6], q[7];\ncrz(x50) q[7], q[8];\ncrz(x51) q[8], q[9];\ncrz(x52) q[9], q[10];\ncrz(x53) q[10], q[11];\ncrz(x54) q[11], q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];",null,"{\"circuits\": [], \"gradients\": []}"]
["c5d57071b024d109c38c43678d62eaf1","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}]}","{\"states\": [6, 1], \"expectation_value\": -0.5264616082466853, \"params\": [[-0.0256, -0.028800000000000003, -0.0339, -0.0613], [0.023100000000000002, 0.024300000000000002, 0.0304, 0.0538]], \"bitstrings\": [\"001\", \"110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.13811768322872067, 0.1768238229344996], \"optimization_time\": 2.5103118419647217}","-1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2)",1,3,4,"{\"smallest_eigenvalues\": [-5.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.75, \"smallest_bitstrings\": [\"110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[1], q[0];\nrz(0.064) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0768) q[2];\ncx q[0], q[2];\nrz(0.064) q[1];\nrz(0.0128) q[0];\nrz(-0.0768) q[2];\nh q[0];\nrz(0.0462) q[0];\nh q[0];\nh q[1];\nrz(0.0462) q[1];\nh q[1];\nh q[2];\nrz(0.0462) q[2];\nh q[2];\ncx q[1], q[0];\nrz(0.072) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0864) q[2];\ncx q[0], q[2];\nrz(0.072) q[1];\nrz(0.0144) q[0];\nrz(-0.0864) q[2];\nh q[0];\nrz(0.0486) q[0];\nh q[0];\nh q[1];\nrz(0.0486) q[1];\nh q[1];\nh q[2];\nrz(0.0486) q[2];\nh q[2];\ncx q[1], q[0];\nrz(0.0847) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1017) q[2];\ncx q[0], q[2];\nrz(0.0847) q[1];\nrz(0.0169) q[0];\nrz(-0.1017) q[2];\nh q[0];\nrz(0.0608) q[0];\nh q[0];\nh q[1];\nrz(0.0608) q[1];\nh q[1];\nh q[2];\nrz(0.0608) q[2];\nh q[2];\ncx q[1], q[0];\nrz(0.1532) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1839) q[2];\ncx q[0], q[2];\nrz(0.1532) q[1];\nrz(0.0307) q[0];\nrz(-0.1839) q[2];\nh q[0];\nrz(0.1076) q[0];\nh q[0];\nh q[1];\nrz(0.1076) q[1];\nh q[1];\nh q[2];\nrz(0.1076) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\nrz(x0) q[1];\nrz(x2) q[0];\nrz(x1) q[2];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x5) q[2];\ncx q[0], q[2];\nrz(x4) q[1];\nrz(x6) q[0];\nrz(x5) q[2];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\nrz(x8) q[1];\nrz(x10) q[0];\nrz(x9) q[2];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x13) q[2];\ncx q[0], q[2];\nrz(x12) q[1];\nrz(x14) q[0];\nrz(x13) q[2];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];","{\"source\": 0, \"sink\": 2}","{\"circuits\": [], \"gradients\": []}"]
["74f1544741d8dc33405b84be7c29f907","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 8}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 8}]}","{\"states\": [255, 127], \"expectation_value\": -30.52390438491677, \"params\": [[[-1.6204, 0.0013000000000000002], [0.0024000000000000002, 0.0029000000000000002], [0.0024000000000000002, 0.0059], [0.0025, 0.0083], [0.0025, 0.0068000000000000005], [0.0025, 0.0073], [-0.0027, 0.0025], [3.1603000000000003, 0.0059]]], \"bitstrings\": [\"00000000\", \"10000000\"], \"total_optimization_steps\": 320, \"probabilities\": [0.4751517852004357, 0.5247511977630581], \"optimization_time\": 6.89168906211853}","-3.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(7)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(5)) + -3.0 * (Z(4) @ Z(7)) + -3.0 * (Z(4) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(4) + -0.5 * Z(0)",2,8,1,"{\"smallest_eigenvalues\": [-31.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -30.0, \"smallest_bitstrings\": [\"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-1.6204) q[0];\nrz(0.0013) q[0];\nrx(0.0024) q[1];\nrz(0.0029) q[1];\nrx(0.0024) q[2];\nrz(0.0059) q[2];\nrx(0.0025) q[3];\nrz(0.0083) q[3];\nrx(0.0025) q[4];\nrz(0.0068) q[4];\nrx(0.0025) q[5];\nrz(0.0073) q[5];\nrx(-0.0027) q[6];\nrz(0.0025) q[6];\nrx(3.1603) q[7];\nrz(0.0059) q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x2) q[2];\nrz(x4) q[2];\nrx(x5) q[3];\nrz(x6) q[3];\nrx(x5) q[4];\nrz(x7) q[4];\nrx(x5) q[5];\nrz(x8) q[5];\nrx(x9) q[6];\nrz(x5) q[6];\nrx(x10) q[7];\nrz(x4) q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"node\": 0}","{\"circuits\": [], \"gradients\": []}"]
["b4844a241e7c75ea7eb690acd3c4c004","graph_coloring","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}]}","{\"states\": [245, 371], \"expectation_value\": -0.7576964455349636, \"params\": [[0.0548, 0.052700000000000004, 0.057100000000000005], [-0.05, -0.0402, -0.0438]], \"bitstrings\": [\"100001010\", \"010001100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002924897634117582, 0.0029248976341175823], \"optimization_time\": 7.121791839599609}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.0 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(3) + 1.0 * Z(4) + 1.0 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -4.25, \"smallest_bitstrings\": [\"001010100\", \"001100010\", \"100001010\", \"010001100\", \"010100001\", \"100010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.0548) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0548) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0548) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0274) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0274) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0548) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.0274) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0548) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0548) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0.0274) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0274) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.0274) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.0274) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0548) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(0.0274) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(0.0274) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(0.0548) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.0548) q[8];\ncx q[7], q[8];\nrz(0.1096) q[1];\nrz(0.1096) q[0];\nrz(0.1096) q[2];\nrz(0.1096) q[3];\nrz(0.1096) q[4];\nrz(0.1096) q[5];\nrz(0.1096) q[6];\nrz(0.1096) q[7];\nrz(0.1096) q[8];\nh q[0];\nrz(-0.1) q[0];\nh q[0];\nh q[1];\nrz(-0.1) q[1];\nh q[1];\nh q[2];\nrz(-0.1) q[2];\nh q[2];\nh q[3];\nrz(-0.1) q[3];\nh q[3];\nh q[4];\nrz(-0.1) q[4];\nh q[4];\nh q[5];\nrz(-0.1) q[5];\nh q[5];\nh q[6];\nrz(-0.1) q[6];\nh q[6];\nh q[7];\nrz(-0.1) q[7];\nh q[7];\nh q[8];\nrz(-0.1) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0527) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0527) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0527) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0264) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0264) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0527) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.0264) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0527) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0527) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0.0264) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0264) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.0264) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.0264) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0527) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(0.0264) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(0.0264) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(0.0527) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.0527) q[8];\ncx q[7], q[8];\nrz(0.1054) q[1];\nrz(0.1054) q[0];\nrz(0.1054) q[2];\nrz(0.1054) q[3];\nrz(0.1054) q[4];\nrz(0.1054) q[5];\nrz(0.1054) q[6];\nrz(0.1054) q[7];\nrz(0.1054) q[8];\nh q[0];\nrz(-0.0804) q[0];\nh q[0];\nh q[1];\nrz(-0.0804) q[1];\nh q[1];\nh q[2];\nrz(-0.0804) q[2];\nh q[2];\nh q[3];\nrz(-0.0804) q[3];\nh q[3];\nh q[4];\nrz(-0.0804) q[4];\nh q[4];\nh q[5];\nrz(-0.0804) q[5];\nh q[5];\nh q[6];\nrz(-0.0804) q[6];\nh q[6];\nh q[7];\nrz(-0.0804) q[7];\nh q[7];\nh q[8];\nrz(-0.0804) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0571) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0571) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0571) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0286) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0286) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0571) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.0286) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0571) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0571) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0.0286) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0286) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(0.0286) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.0286) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0571) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(0.0286) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(0.0286) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(0.0571) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.0571) q[8];\ncx q[7], q[8];\nrz(0.1142) q[1];\nrz(0.1142) q[0];\nrz(0.1142) q[2];\nrz(0.1142) q[3];\nrz(0.1142) q[4];\nrz(0.1142) q[5];\nrz(0.1142) q[6];\nrz(0.1142) q[7];\nrz(0.1142) q[8];\nh q[0];\nrz(-0.0876) q[0];\nh q[0];\nh q[1];\nrz(-0.0876) q[1];\nh q[1];\nh q[2];\nrz(-0.0876) q[2];\nh q[2];\nh q[3];\nrz(-0.0876) q[3];\nh q[3];\nh q[4];\nrz(-0.0876) q[4];\nh q[4];\nh q[5];\nrz(-0.0876) q[5];\nh q[5];\nh q[6];\nrz(-0.0876) q[6];\nh q[6];\nh q[7];\nrz(-0.0876) q[7];\nh q[7];\nh q[8];\nrz(-0.0876) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(x1) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(x1) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x2) q[8];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nh q[7];\nrz(x3) q[7];\nh q[7];\nh q[8];\nrz(x3) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x4) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x5) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x4) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x5) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x5) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x5) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x5) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x5) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x4) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(x5) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(x5) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x4) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x4) q[8];\ncx q[7], q[8];\nrz(x6) q[1];\nrz(x6) q[0];\nrz(x6) q[2];\nrz(x6) q[3];\nrz(x6) q[4];\nrz(x6) q[5];\nrz(x6) q[6];\nrz(x6) q[7];\nrz(x6) q[8];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nh q[8];\nrz(x7) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x8) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x8) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x8) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x9) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x8) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(x9) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(x9) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x8) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x8) q[8];\ncx q[7], q[8];\nrz(x10) q[1];\nrz(x10) q[0];\nrz(x10) q[2];\nrz(x10) q[3];\nrz(x10) q[4];\nrz(x10) q[5];\nrz(x10) q[6];\nrz(x10) q[7];\nrz(x10) q[8];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"number_of_colors\": 3}","{\"circuits\": [], \"gradients\": []}"]
["1acf7607c7ee29e36b87a4b01083b206","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 6, \"source\": 4, \"target\": 5}]}","{\"states\": [0, 31], \"expectation_value\": -0.7747645518889985, \"params\": [[0.3377, 0.3478, 0.40800000000000003, 0.41050000000000003, 0.1014, 0.2245], [-0.3864, 0.4107, 0.39490000000000003, 0.39480000000000004, 0.41100000000000003, 0.383], [0.3221, 0.3607, 0.38770000000000004, 0.3942, 0.38670000000000004, 0.3431], [0.3589, 0.027800000000000002, 0.3899, 0.39530000000000004, 0.3794, -0.35350000000000004]], \"bitstrings\": [\"111111\", \"100000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.0558369715752551, 0.06272194893567805], \"optimization_time\": 4.462388515472412}","-1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5)",9,6,4,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.3377) q[0];\nrx(0.3478) q[1];\nrx(0.408) q[2];\nrx(0.4105) q[3];\nrx(0.1014) q[4];\nrx(0.2245) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.3864) q[0];\nrx(0.4107) q[1];\nrx(0.3949) q[2];\nrx(0.3948) q[3];\nrx(0.411) q[4];\nrx(0.383) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.3221) q[0];\nrx(0.3607) q[1];\nrx(0.3877) q[2];\nrx(0.3942) q[3];\nrx(0.3867) q[4];\nrx(0.3431) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.3589) q[0];\nrx(0.0278) q[1];\nrx(0.3899) q[2];\nrx(0.3953) q[3];\nrx(0.3794) q[4];\nrx(-0.3535) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x6) q[0];\nrx(x7) q[1];\nrx(x8) q[2];\nrx(x9) q[3];\nrx(x10) q[4];\nrx(x11) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x12) q[0];\nrx(x13) q[1];\nrx(x14) q[2];\nrx(x15) q[3];\nrx(x16) q[4];\nrx(x17) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x18) q[0];\nrx(x19) q[1];\nrx(x20) q[2];\nrx(x21) q[3];\nrx(x22) q[4];\nrx(x23) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["2516a2390c15857d60c9b0fe40f23a00","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 2}]}","{\"states\": [8, 9], \"expectation_value\": -4.347567687532233, \"params\": [[[0.0011, 0.3987], [0.9195000000000001, 0.0005], [0.0021000000000000003, 0.7454000000000001], [0.0034000000000000002, 0.7382000000000001], [-0.5650000000000001, 0.0032]], [[0.0002, 0.39380000000000004], [0.9244, 0.0005], [0.0037, 0.7499], [0.0039000000000000003, 0.737], [-0.5608000000000001, -0.0032]], [[0.0011, 0.005200000000000001], [0.9199, 0.0026000000000000003], [0.0022, 0.0046], [0.0034000000000000002, 0.0002], [-0.5629000000000001, 0.0061]]], \"bitstrings\": [\"10111\", \"10110\"], \"total_optimization_steps\": 100, \"probabilities\": [0.4256127372844727, 0.5391002068038424], \"optimization_time\": 3.8446121215820312}","-1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4)",1,5,3,"{\"smallest_eigenvalues\": [-5.75, -5.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.75, \"smallest_bitstrings\": [\"10100\", \"10110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nrx(0.0011) q[0];\nrz(0.3987) q[0];\nrx(0.9195) q[1];\nrz(0.0005) q[1];\nrx(0.0021) q[2];\nrz(0.7454) q[2];\nrx(0.0034) q[3];\nrz(0.7382) q[3];\nrx(-0.565) q[4];\nrz(0.0032) q[4];\nrx(0.0002) q[0];\nrz(0.3938) q[0];\nrx(0.9244) q[1];\nrz(0.0005) q[1];\nrx(0.0037) q[2];\nrz(0.7499) q[2];\nrx(0.0039) q[3];\nrz(0.737) q[3];\nrx(-0.5608) q[4];\nrz(-0.0032) q[4];\nrx(0.0011) q[0];\nrz(0.0052) q[0];\nrx(0.9199) q[1];\nrz(0.0026) q[1];\nrx(0.0022) q[2];\nrz(0.0046) q[2];\nrx(0.0034) q[3];\nrz(0.0002) q[3];\nrx(-0.5629) q[4];\nrz(0.0061) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[0];\nrz(x11) q[0];\nrx(x12) q[1];\nrz(x3) q[1];\nrx(x13) q[2];\nrz(x14) q[2];\nrx(x15) q[3];\nrz(x16) q[3];\nrx(x17) q[4];\nrz(x18) q[4];\nrx(x0) q[0];\nrz(x19) q[0];\nrx(x20) q[1];\nrz(x21) q[1];\nrx(x22) q[2];\nrz(x23) q[2];\nrx(x6) q[3];\nrz(x10) q[3];\nrx(x24) q[4];\nrz(x25) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","{\"source\": 0, \"sink\": 4}","{\"circuits\": [], \"gradients\": []}"]
["6e104488336dc4e2d5aa766674769faa","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [50, 116], \"expectation_value\": -1.3167244256644768, \"params\": [[0.0729, 0.06910000000000001, 0.0787], [-0.06720000000000001, -0.0611, -0.0743]], \"bitstrings\": [\"1001101\", \"0001011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01463136426762427, 0.01598147332943954], \"optimization_time\": 9.929796695709229}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(4)",1,7,3,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(0.0729) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(0.0729) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(0.0729) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(0.0729) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(0.0729) q[2];\ncx q[3], q[2];\ncx q[3], q[6];\nrz(0.0729) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0729) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(0.0729) q[6];\ncx q[2], q[6];\ncx q[5], q[4];\nrz(0.0729) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(0.0729) q[4];\ncx q[6], q[4];\nrz(-0.2916) q[3];\nrz(-0.0729) q[0];\nrz(-0.2187) q[5];\nrz(0) q[1];\nrz(-0.0729) q[2];\nrz(-0.2187) q[6];\nrz(-0.0729) q[4];\nh q[0];\nrz(-0.1344) q[0];\nh q[0];\nh q[1];\nrz(-0.1344) q[1];\nh q[1];\nh q[2];\nrz(-0.1344) q[2];\nh q[2];\nh q[3];\nrz(-0.1344) q[3];\nh q[3];\nh q[4];\nrz(-0.1344) q[4];\nh q[4];\nh q[5];\nrz(-0.1344) q[5];\nh q[5];\nh q[6];\nrz(-0.1344) q[6];\nh q[6];\ncx q[3], q[0];\nrz(0.0691) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(0.0691) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(0.0691) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(0.0691) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(0.0691) q[2];\ncx q[3], q[2];\ncx q[3], q[6];\nrz(0.0691) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0691) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(0.0691) q[6];\ncx q[2], q[6];\ncx q[5], q[4];\nrz(0.0691) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(0.0691) q[4];\ncx q[6], q[4];\nrz(-0.2764) q[3];\nrz(-0.0691) q[0];\nrz(-0.2073) q[5];\nrz(0) q[1];\nrz(-0.0691) q[2];\nrz(-0.2073) q[6];\nrz(-0.0691) q[4];\nh q[0];\nrz(-0.1222) q[0];\nh q[0];\nh q[1];\nrz(-0.1222) q[1];\nh q[1];\nh q[2];\nrz(-0.1222) q[2];\nh q[2];\nh q[3];\nrz(-0.1222) q[3];\nh q[3];\nh q[4];\nrz(-0.1222) q[4];\nh q[4];\nh q[5];\nrz(-0.1222) q[5];\nh q[5];\nh q[6];\nrz(-0.1222) q[6];\nh q[6];\ncx q[3], q[0];\nrz(0.0787) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(0.0787) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(0.0787) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(0.0787) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(0.0787) q[2];\ncx q[3], q[2];\ncx q[3], q[6];\nrz(0.0787) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0787) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(0.0787) q[6];\ncx q[2], q[6];\ncx q[5], q[4];\nrz(0.0787) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(0.0787) q[4];\ncx q[6], q[4];\nrz(-0.3148) q[3];\nrz(-0.0787) q[0];\nrz(-0.2361) q[5];\nrz(0) q[1];\nrz(-0.0787) q[2];\nrz(-0.2361) q[6];\nrz(-0.0787) q[4];\nh q[0];\nrz(-0.1486) q[0];\nh q[0];\nh q[1];\nrz(-0.1486) q[1];\nh q[1];\nh q[2];\nrz(-0.1486) q[2];\nh q[2];\nh q[3];\nrz(-0.1486) q[3];\nh q[3];\nh q[4];\nrz(-0.1486) q[4];\nh q[4];\nh q[5];\nrz(-0.1486) q[5];\nh q[5];\nh q[6];\nrz(-0.1486) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x3) q[5];\nrz(x4) q[1];\nrz(x2) q[2];\nrz(x3) q[6];\nrz(x2) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x6) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(x6) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x6) q[2];\ncx q[3], q[2];\ncx q[3], q[6];\nrz(x6) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x6) q[4];\ncx q[6], q[4];\nrz(x7) q[3];\nrz(x8) q[0];\nrz(x9) q[5];\nrz(x4) q[1];\nrz(x8) q[2];\nrz(x9) q[6];\nrz(x8) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x11) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[3], q[6];\nrz(x11) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x11) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[5], q[4];\nrz(x11) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x11) q[4];\ncx q[6], q[4];\nrz(x12) q[3];\nrz(x13) q[0];\nrz(x14) q[5];\nrz(x4) q[1];\nrz(x13) q[2];\nrz(x14) q[6];\nrz(x13) q[4];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["bbe36c72142a04c8b1698fed3f77c25c","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}]}","{\"states\": [89, 57], \"expectation_value\": -0.03878785363377842, \"params\": [[0.0655], [-0.0594]], \"bitstrings\": [\"0100110\", \"1000110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00836326894877924, 0.008363268948779243], \"optimization_time\": 4.4433324337005615}","0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(2) @ Z(6)) + -0.125 * (Z(5) @ Z(1) @ Z(6)) + -0.125 * (Z(5) @ Z(6) @ Z(2)) + 0.125 * (Z(5) @ Z(1) @ Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -0.125 * Z(0) + -0.125 * Z(1) + 0.25 * Z(2) + -0.125 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -0.125 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -1.25, \"smallest_bitstrings\": [\"0101100\", \"1001001\", \"0100110\", \"1000110\", \"1000011\", \"0101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.0655) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0164) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(0.0164) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(0.0164) q[0];\ncx q[4], q[0];\ncx q[3], q[2];\nrz(0.0164) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0164) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(0.0164) q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(-0.0164) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(-0.0164) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(-0.0164) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(-0.0164) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(0.0164) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[2], q[1];\nrz(0.0164) q[1];\ncx q[2], q[1];\ncx q[1], q[5];\nrz(0.0164) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(0.0164) q[1];\ncx q[6], q[1];\ncx q[2], q[5];\nrz(0.0164) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(0.0164) q[6];\ncx q[2], q[6];\ncx q[6], q[5];\nrz(0.0164) q[5];\ncx q[6], q[5];\ncx q[2], q[1];\ncx q[1], q[5];\nrz(-0.0164) q[5];\ncx q[1], q[5];\ncx q[2], q[1];\ncx q[6], q[2];\ncx q[2], q[1];\nrz(-0.0164) q[1];\ncx q[2], q[1];\ncx q[6], q[2];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(-0.0164) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[2], q[6];\ncx q[6], q[5];\nrz(-0.0164) q[5];\ncx q[6], q[5];\ncx q[2], q[6];\ncx q[6], q[2];\ncx q[2], q[1];\ncx q[1], q[5];\nrz(0.0164) q[5];\ncx q[1], q[5];\ncx q[2], q[1];\ncx q[6], q[2];\ncx q[3], q[5];\nrz(0.0655) q[5];\ncx q[3], q[5];\ncx q[4], q[6];\nrz(0.0655) q[6];\ncx q[4], q[6];\nrz(-0.0164) q[0];\nrz(-0.0164) q[1];\nrz(0.0328) q[2];\nrz(-0.0164) q[3];\nrz(-0.0164) q[4];\nrz(-0.0164) q[5];\nrz(-0.0164) q[6];\nh q[0];\nrz(-0.1188) q[0];\nh q[0];\nh q[1];\nrz(-0.1188) q[1];\nh q[1];\nh q[2];\nrz(-0.1188) q[2];\nh q[2];\nh q[3];\nrz(-0.1188) q[3];\nh q[3];\nh q[4];\nrz(-0.1188) q[4];\nh q[4];\nh q[5];\nrz(-0.1188) q[5];\nh q[5];\nh q[6];\nrz(-0.1188) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x1) q[0];\ncx q[4], q[0];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x2) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[2];\ncx q[2], q[0];\nrz(x2) q[0];\ncx q[2], q[0];\ncx q[4], q[2];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\nrz(x2) q[2];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[0];\nrz(x1) q[0];\ncx q[2], q[0];\ncx q[3], q[2];\ncx q[4], q[3];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(x1) q[1];\ncx q[6], q[1];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[2], q[1];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[2], q[1];\ncx q[6], q[2];\ncx q[2], q[1];\nrz(x2) q[1];\ncx q[2], q[1];\ncx q[6], q[2];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[2], q[6];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[2], q[6];\ncx q[6], q[2];\ncx q[2], q[1];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[2], q[1];\ncx q[6], q[2];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\nrz(x2) q[0];\nrz(x2) q[1];\nrz(x3) q[2];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x2) q[6];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["350517609608566162","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[2, 5], [8, 4, 5], [1, 5, 9], [0, 6], [0, 3], [4, 7]]}","{\"states\": [123, 121], \"expectation_value\": -2.1616844371496096, \"params\": [0.1738, 0.1636, 0.5427000000000001, 0.5761000000000001, 0.1559, 0.12090000000000001, 1.393, 1.3928, 1.3997000000000002, 1.4002000000000001, 1.4031, 1.3969, 1.3971, 1.3915, 0.1651, 0.1399, 0.5748, 0.5787, 1.393, 1.3975, 0.045200000000000004, 0.7109000000000001, 1.3867, 0.6551, -0.0212, 0.8464, 1.3858000000000001, 0.1197, 0.7093, 0.3791, 0.8558, 0.39980000000000004, 0.7374, 0.3698, 0.1295, 0.4792, 0.3673, 0.11320000000000001, 0.7549, 0.7502000000000001], \"bitstrings\": [\"1110000100\", \"1110000110\"], \"total_optimization_steps\": 140, \"probabilities\": [0.22244452823481126, 0.3285332361409059], \"optimization_time\": 12.0923011302948}","0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.33333333333333326 * Z(5) + 0.0 * Z(2) + 0.16666666666666666 * Z(8) + 0.16666666666666663 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(9) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(7)",14,10,1,"{\"smallest_eigenvalues\": [-2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666], \"number_of_smallest_eigenvalues\": 10, \"first_excited_energy\": -2.333333333333333, \"smallest_bitstrings\": [\"0111101000\", \"0011001111\", \"1000010100\", \"1110000110\", \"1110100000\", \"0001011100\", \"0011101001\", \"1010100001\", \"1010000111\", \"0111001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.1738) q[0];\nry(0.5427) q[1];\nry(0.1559) q[2];\nry(1.393) q[3];\nry(1.3997) q[4];\nry(1.4031) q[5];\nry(1.3971) q[6];\nry(0.1651) q[7];\nry(0.5748) q[8];\nry(1.393) q[9];\ncrx(0.0452) q[9], q[0];\ncrx(0.7549) q[8], q[9];\ncrx(0.3673) q[7], q[8];\ncrx(0.1295) q[6], q[7];\ncrx(0.7374) q[5], q[6];\ncrx(0.8558) q[4], q[5];\ncrx(0.7093) q[3], q[4];\ncrx(1.3858) q[2], q[3];\ncrx(-0.0212) q[1], q[2];\ncrx(1.3867) q[0], q[1];\nry(0.1636) q[0];\nry(0.5761) q[1];\nry(0.1209) q[2];\nry(1.3928) q[3];\nry(1.4002) q[4];\nry(1.3969) q[5];\nry(1.3915) q[6];\nry(0.1399) q[7];\nry(0.5787) q[8];\nry(1.3975) q[9];\ncrx(0.7109) q[9], q[8];\ncrx(0.6551) q[0], q[9];\ncrx(0.8464) q[0], q[1];\ncrx(0.1197) q[1], q[2];\ncrx(0.3791) q[2], q[3];\ncrx(0.3998) q[3], q[4];\ncrx(0.3698) q[4], q[5];\ncrx(0.4792) q[5], q[6];\ncrx(0.1132) q[6], q[7];\ncrx(0.7502) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x3) q[9];\ncrx(x9) q[9], q[0];\ncrx(x10) q[8], q[9];\ncrx(x11) q[7], q[8];\ncrx(x12) q[6], q[7];\ncrx(x13) q[5], q[6];\ncrx(x14) q[4], q[5];\ncrx(x15) q[3], q[4];\ncrx(x16) q[2], q[3];\ncrx(x17) q[1], q[2];\ncrx(x18) q[0], q[1];\nry(x19) q[0];\nry(x20) q[1];\nry(x21) q[2];\nry(x22) q[3];\nry(x23) q[4];\nry(x24) q[5];\nry(x25) q[6];\nry(x26) q[7];\nry(x27) q[8];\nry(x28) q[9];\ncrx(x29) q[9], q[8];\ncrx(x30) q[0], q[9];\ncrx(x31) q[0], q[1];\ncrx(x32) q[1], q[2];\ncrx(x33) q[2], q[3];\ncrx(x34) q[3], q[4];\ncrx(x35) q[4], q[5];\ncrx(x36) q[5], q[6];\ncrx(x37) q[6], q[7];\ncrx(x38) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["fbd951d8e0967f93aa199e767c7a8404","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [70, 69], \"expectation_value\": -5.996463978766435, \"params\": null, \"bitstrings\": [\"0111001\", \"0111010\"], \"total_optimization_steps\": 29, \"probabilities\": [0.06634843263544207, 0.9303661238199928], \"optimization_time\": 27.108773946762085}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-6.0, -6.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"0111010\", \"0111001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nry(-1.5681) q[2];\nry(-1.5681) q[3];\nry(1.4449) q[4];\nry(1.4449) q[0];\ncry(-1.0343) q[6], q[5];\nry(0.7003) q[6];\nry(-0.4549) q[5];\ncry(0.4963) q[4], q[6];\ncry(-0.3789) q[4], q[5];\ncry(0.2489) q[0], q[6];\ncry(-0.1488) q[0], q[5];\ncry(0.118) q[4], q[0];\ncry(0.1156) q[0], q[4];\ncry(-0.0027) q[4], q[2];\ncry(-0.0027) q[4], q[3];\ncry(-0.0227) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\ncry(-0.0227) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\ncry(-0.0227) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\ncry(-0.0227) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\ncry(-0.0227) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0343) q[6], q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[5];\\ncry(0.4963) q[4], q[6];\\ncry(-0.3789) q[4], q[5];\\ncry(0.2489) q[0], q[6];\\ncry(-0.1488) q[0], q[5];\\ncry(0.118) q[4], q[0];\\ncry(0.1156) q[0], q[4];\\ncry(-0.0027) q[4], q[2];\\ncry(-0.0027) q[4], q[3];\\ncry(-0.0227) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [2.5155, 1.0068, 1.0048, 0.5002, 0.5, 0.2509, 0.2452, 0.1886, 0.2237, 0.1882, 0.1273, 0.0785, 0.0612, 0.0601, 0.0138, 0.01, 0.0097, 0.0085, 0.0075, 0.0075, 0.0073, 0.006, 0.005, 0.005, 0.0049, 0.0049, 0.0049, 0.0045, 0.003]}"]
["4b84faaad3bf7a7580aeb2d06aa05d30","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 19, \"source\": 0, \"target\": 3}, {\"weight\": 18, \"source\": 0, \"target\": 6}, {\"weight\": 15, \"source\": 0, \"target\": 5}, {\"weight\": 14, \"source\": 1, \"target\": 5}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 8, \"source\": 4, \"target\": 5}, {\"weight\": 11, \"source\": 5, \"target\": 6}, {\"weight\": 6, \"source\": 6, \"target\": 7}]}","{\"states\": [245, 242], \"expectation_value\": -30.421454434200015, \"params\": [[0.0228, -0.0056, 0.0031000000000000003], [-0.0646, -0.051800000000000006, -0.06330000000000001]], \"bitstrings\": [\"100001010\", \"100001101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005748870285042611, 0.00669952230921442], \"optimization_time\": 7.950155019760132}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) + 12.5 * Z(0) + 25.5 * Z(2) + 22.5 * Z(3) + 16.0 * Z(4) + -0.5 * Z(5) + 8.5 * Z(6) + 19.0 * Z(7) + 3.0 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-91.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -81.5, \"smallest_bitstrings\": [\"100001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.2052) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2052) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2052) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.2052) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.2052) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2052) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.2052) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.2052) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.2052) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(0.2052) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.2052) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(0.2052) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.2052) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.2052) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.2052) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(0.2052) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.2052) q[8];\ncx q[7], q[8];\nrz(0.8436) q[1];\nrz(0.57) q[0];\nrz(1.1628) q[2];\nrz(1.026) q[3];\nrz(0.7296) q[4];\nrz(-0.0228) q[5];\nrz(0.3876) q[6];\nrz(0.8664) q[7];\nrz(0.1368) q[8];\nh q[0];\nrz(-0.1292) q[0];\nh q[0];\nh q[1];\nrz(-0.1292) q[1];\nh q[1];\nh q[2];\nrz(-0.1292) q[2];\nh q[2];\nh q[3];\nrz(-0.1292) q[3];\nh q[3];\nh q[4];\nrz(-0.1292) q[4];\nh q[4];\nh q[5];\nrz(-0.1292) q[5];\nh q[5];\nh q[6];\nrz(-0.1292) q[6];\nh q[6];\nh q[7];\nrz(-0.1292) q[7];\nh q[7];\nh q[8];\nrz(-0.1292) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.0504) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0504) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0504) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0504) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0504) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0504) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.0504) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0504) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.0504) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(-0.0504) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0504) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(-0.0504) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.0504) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0504) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0504) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(-0.0504) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(-0.0504) q[8];\ncx q[7], q[8];\nrz(-0.2072) q[1];\nrz(-0.14) q[0];\nrz(-0.2856) q[2];\nrz(-0.252) q[3];\nrz(-0.1792) q[4];\nrz(0.0056) q[5];\nrz(-0.0952) q[6];\nrz(-0.2128) q[7];\nrz(-0.0336) q[8];\nh q[0];\nrz(-0.1036) q[0];\nh q[0];\nh q[1];\nrz(-0.1036) q[1];\nh q[1];\nh q[2];\nrz(-0.1036) q[2];\nh q[2];\nh q[3];\nrz(-0.1036) q[3];\nh q[3];\nh q[4];\nrz(-0.1036) q[4];\nh q[4];\nh q[5];\nrz(-0.1036) q[5];\nh q[5];\nh q[6];\nrz(-0.1036) q[6];\nh q[6];\nh q[7];\nrz(-0.1036) q[7];\nh q[7];\nh q[8];\nrz(-0.1036) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0279) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0279) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0279) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0279) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0279) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0279) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.0279) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0279) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.0279) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(0.0279) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.0279) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(0.0279) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.0279) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.0279) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0279) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(0.0279) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.0279) q[8];\ncx q[7], q[8];\nrz(0.1147) q[1];\nrz(0.0775) q[0];\nrz(0.1581) q[2];\nrz(0.1395) q[3];\nrz(0.0992) q[4];\nrz(-0.0031) q[5];\nrz(0.0527) q[6];\nrz(0.1178) q[7];\nrz(0.0186) q[8];\nh q[0];\nrz(-0.1266) q[0];\nh q[0];\nh q[1];\nrz(-0.1266) q[1];\nh q[1];\nh q[2];\nrz(-0.1266) q[2];\nh q[2];\nh q[3];\nrz(-0.1266) q[3];\nh q[3];\nh q[4];\nrz(-0.1266) q[4];\nh q[4];\nh q[5];\nrz(-0.1266) q[5];\nh q[5];\nh q[6];\nrz(-0.1266) q[6];\nh q[6];\nh q[7];\nrz(-0.1266) q[7];\nh q[7];\nh q[8];\nrz(-0.1266) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x11) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x11) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x11) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x11) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x11) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x11) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x11) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(x11) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x11) q[8];\ncx q[7], q[8];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[2];\nrz(x15) q[3];\nrz(x16) q[4];\nrz(x17) q[5];\nrz(x18) q[6];\nrz(x19) q[7];\nrz(x20) q[8];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x22) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x22) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x22) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x22) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x22) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x22) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x22) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x22) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x22) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x22) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x22) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x22) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x22) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x22) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x22) q[7];\ncx q[6], q[7];\ncx q[3], q[8];\nrz(x22) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x22) q[8];\ncx q[7], q[8];\nrz(x23) q[1];\nrz(x24) q[0];\nrz(x25) q[2];\nrz(x26) q[3];\nrz(x27) q[4];\nrz(x28) q[5];\nrz(x29) q[6];\nrz(x30) q[7];\nrz(x31) q[8];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nh q[8];\nrz(x32) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["8974e5cad06096779812bbdbc32e906b","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [108, 102], \"expectation_value\": -4.999883759797813, \"params\": null, \"bitstrings\": [\"0010011\", \"0011001\"], \"total_optimization_steps\": 31, \"probabilities\": [1.6414553731649223e-05, 0.9999151798178287], \"optimization_time\": 32.28219389915466}","0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(5)",1,7,3,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"0011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nry(-1.5681) q[6];\nry(-1.4449) q[3];\nry(1.4449) q[4];\nry(1.4449) q[0];\nry(1.4417) q[5];\nry(1.4417) q[1];\ncry(-0.1259) q[5], q[3];\ncry(0.1217) q[0], q[1];\ncry(0.1216) q[1], q[5];\ncry(0.1188) q[1], q[4];\ncry(0.1186) q[4], q[0];\ncry(-0.0027) q[5], q[6];\ncry(-0.0005) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.5681) q[6];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1188) q[1], q[4];\\ncry(0.1186) q[4], q[0];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.51, 1.0057, 0.5025, 0.5007, 0.5005, 0.4961, 0.4958, 0.1931, 0.0627, 0.0628, 0.0613, 0.0612, 0.0168, 0.0125, 0.01, 0.0075, 0.0075, 0.0075, 0.0075, 0.006, 0.006, 0.006, 0.0053, 0.005, 0.005, 0.0045, 0.0045, 0.0045, 0.003, 0.003, 0.003]}"]
["-8908759850788202683","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[8, 1, 4, 6], [1, 2, 4, 6, 7], [8, 0, 2], [1, 2, 5, 6, 7, 8], [3, 5], [0, 3, 4, 7, 8], [0, 1, 3, 4, 6, 7], [2, 4, 5, 6, 7, 8]]}","{\"states\": [475, 411], \"expectation_value\": -1.6985153461942955, \"params\": [1.6002, 1.5205, 1.1875, 1.6829, 0.4912, 0.5634, 0.076, 0.07010000000000001, 1.6863000000000001, 1.4924000000000002, 1.2730000000000001, 1.4268, 1.6859000000000002, 0.8027000000000001, 1.6782000000000001, 1.4711, 1.1447, 1.5195, 0.7626000000000001, 1.1711, 0.5839, 0.7444000000000001, 0.1849, 0.653, -0.11910000000000001, 1.2586000000000002, 0.4308, -0.0028, 1.0027000000000001, 1.6679000000000002, 1.2704, 0.8428, -0.13290000000000002, 1.6917, 1.5952000000000002, 1.6836], \"bitstrings\": [\"000100100\", \"001100100\"], \"total_optimization_steps\": 170, \"probabilities\": [0.20748101587700885, 0.25130480209948186], \"optimization_time\": 7.973436594009399}","0.11666666666666667 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.19999999999999998 * (Z(6) @ Z(1)) + 0.15 * (Z(6) @ Z(8)) + 0.19999999999999998 * (Z(6) @ Z(4)) + 0.08333333333333334 * (Z(2) @ Z(1)) + 0.2333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333334 * (Z(2) @ Z(4)) + 0.11666666666666667 * (Z(2) @ Z(6)) + 0.11666666666666667 * (Z(7) @ Z(1)) + 0.11666666666666667 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.15 * (Z(7) @ Z(6)) + 0.11666666666666667 * (Z(7) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(8)) + 0.08333333333333334 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333334 * (Z(0) @ Z(7)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.06666666666666667 * (Z(5) @ Z(8)) + 0.03333333333333333 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(5) @ Z(6)) + 0.06666666666666667 * (Z(5) @ Z(2)) + 0.06666666666666667 * (Z(5) @ Z(7)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(8)) + 0.08333333333333334 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333334 * (Z(3) @ Z(7)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.39166666666666666 * Z(1) + 0.5583333333333333 * Z(8) + 0.49166666666666675 * Z(4) + 0.475 * Z(6) + 0.4333333333333334 * Z(2) + 0.4500000000000002 * Z(7) + 0.3500000000000001 * Z(0) + 0.16666666666666652 * Z(5) + 0.18333333333333335 * Z(3)",14,9,1,"{\"smallest_eigenvalues\": [-2.083333333333334, -2.083333333333334], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.0500000000000007, \"smallest_bitstrings\": [\"100001100\", \"001100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(1.6002) q[0];\nry(1.1875) q[1];\nry(0.4912) q[2];\nry(0.076) q[3];\nry(1.6863) q[4];\nry(1.273) q[5];\nry(1.6859) q[6];\nry(1.6782) q[7];\nry(1.1447) q[8];\ncrx(0.7626) q[8], q[0];\ncrx(1.5952) q[7], q[8];\ncrx(-0.1329) q[6], q[7];\ncrx(1.2704) q[5], q[6];\ncrx(1.0027) q[4], q[5];\ncrx(0.4308) q[3], q[4];\ncrx(-0.1191) q[2], q[3];\ncrx(0.1849) q[1], q[2];\ncrx(0.5839) q[0], q[1];\nry(1.5205) q[0];\nry(1.6829) q[1];\nry(0.5634) q[2];\nry(0.0701) q[3];\nry(1.4924) q[4];\nry(1.4268) q[5];\nry(0.8027) q[6];\nry(1.4711) q[7];\nry(1.5195) q[8];\ncrx(1.1711) q[8], q[7];\ncrx(0.7444) q[0], q[8];\ncrx(0.653) q[0], q[1];\ncrx(1.2586) q[1], q[2];\ncrx(-0.0028) q[2], q[3];\ncrx(1.6679) q[3], q[4];\ncrx(0.8428) q[4], q[5];\ncrx(1.6917) q[5], q[6];\ncrx(1.6836) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x31) q[2], q[3];\ncrx(x32) q[3], q[4];\ncrx(x33) q[4], q[5];\ncrx(x34) q[5], q[6];\ncrx(x35) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["69144809aea48cb46eae9c3950f24a15","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}]}","{\"states\": [57275, 56955], \"expectation_value\": -16.870559900030557, \"params\": [[[0.0014, 0.45740000000000003, 0.0006000000000000001, 0.0027], [0.0026000000000000003, -0.9228000000000001, 0.5437000000000001, -1.1236000000000002], [1.0333, 0.9902000000000001, 0.9581000000000001, 1.0094], [0.0784, -1.1207, 0.25670000000000004, 0.7257], [0.0988, -0.5562, -0.0128, -0.3971], [-0.026000000000000002, 0.0261, 1.1804000000000001, 0.097], [0.3996, 0.0636, 0.3418, -0.061900000000000004], [0.0159, -0.1736, 0.0422, -0.6733], [0.14930000000000002, 0.9516, -0.024200000000000003, 0.9737], [0.0143, -0.6393, 1.0210000000000001, -0.7502000000000001], [0.4006, 0.9671000000000001, 0.46990000000000004, 0.22290000000000001], [-0.0032, -0.7646000000000001, -0.0252, 0.6513], [0.27540000000000003, -0.6055, -0.1333, -0.7644000000000001], [0.0656, 0.6826, 1.2926, -0.0555], [1.2921, -0.0216, 0.4535, 0.2218], [1.2930000000000001, 0.0391, 0.006200000000000001, 0.0067]], [[0.0035, 0.7119000000000001, 0.0051, 0.0006000000000000001], [1.1673, 0.2998, -0.0041, 0.0098], [1.2118, 1.0459, 1.2853, 0.0088], [0.0409, 0.1569, 0.2303, 0.0086], [1.2922, 0.0166, 1.2994, 0.0008], [-0.11130000000000001, -0.304, -0.33290000000000003, 0.006500000000000001], [1.2644, -0.007, 1.2818, 0.0055000000000000005], [-0.08460000000000001, 0.5282, -0.1228, 0.0057], [0.7299, 0.26580000000000004, 0.8268000000000001, 0.0076], [0.1902, 1.074, 0.12760000000000002, 0.0089], [1.2938, 0.0707, 1.2985, 0.0012000000000000001], [0.0251, -0.2459, 0.0008, 0.0025], [1.2812000000000001, -0.0083, 1.2851000000000001, 0.0066], [1.1616, -0.6959000000000001, 0.47390000000000004, 0.006200000000000001], [0.3766, -0.27740000000000004, 1.2975, 0.0029000000000000002], [1.2932000000000001, 0.007500000000000001, 0.0088, 0.001]]], \"bitstrings\": [\"0010000001000100\", \"0010000110000100\"], \"total_optimization_steps\": 130, \"probabilities\": [0.08424604745394022, 0.09535983503924987], \"optimization_time\": 112.04781103134155}","0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(11) @ Z(1)) + 0.5 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(7)) + 0.25 * (Z(11) @ Z(5)) + 0.25 * (Z(11) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(9)) + 0.25 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(15) @ Z(3)) + 0.5 * (Z(15) @ Z(7)) + 0.25 * (Z(15) @ Z(5)) + 0.25 * (Z(15) @ Z(6)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(15)) + 0.25 * (Z(12) @ Z(1)) + 0.25 * (Z(12) @ Z(3)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.25 * (Z(12) @ Z(11)) + 0.25 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(15)) + 0.5 * (Z(12) @ Z(13)) + 0.25 * (Z(14) @ Z(1)) + 0.5 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(6)) + 0.25 * (Z(14) @ Z(9)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(15)) + 0.5 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(12)) + 3.25 * Z(1) + 2.5 * Z(3) + 2.25 * Z(0) + 2.25 * Z(2) + 2.0 * Z(7) + 2.5 * Z(5) + 3.0 * Z(4) + 2.75 * Z(6) + 3.25 * Z(11) + 2.5 * Z(9) + 2.0 * Z(8) + 2.5 * Z(10) + 2.5 * Z(15) + 2.0 * Z(13) + 3.0 * Z(12) + 2.75 * Z(14)",11,16,2,"{\"smallest_eigenvalues\": [-20.49999999999982], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -20.49999999999978, \"smallest_bitstrings\": [\"0010000110000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nry(0.0014) q[0];\nrz(0.4574) q[0];\nry(0.0026) q[1];\nrz(-0.9228) q[1];\nry(1.0333) q[2];\nrz(0.9902) q[2];\nry(0.0784) q[3];\nrz(-1.1207) q[3];\nry(0.0988) q[4];\nrz(-0.5562) q[4];\nry(-0.026) q[5];\nrz(0.0261) q[5];\nry(0.3996) q[6];\nrz(0.0636) q[6];\nry(0.0159) q[7];\nrz(-0.1736) q[7];\nry(0.1493) q[8];\nrz(0.9516) q[8];\nry(0.0143) q[9];\nrz(-0.6393) q[9];\nry(0.4006) q[10];\nrz(0.9671) q[10];\nry(-0.0032) q[11];\nrz(-0.7646) q[11];\nry(0.2754) q[12];\nrz(-0.6055) q[12];\nry(0.0656) q[13];\nrz(0.6826) q[13];\nry(1.2921) q[14];\nrz(-0.0216) q[14];\nry(1.293) q[15];\nrz(0.0391) q[15];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\ncx q[13], q[12];\ncx q[15], q[14];\nry(0.5437) q[1];\nrz(-1.1236) q[1];\nry(0.9581) q[2];\nrz(1.0094) q[2];\ncx q[2], q[1];\nry(0.2567) q[3];\nrz(0.7257) q[3];\nry(-0.0128) q[4];\nrz(-0.3971) q[4];\ncx q[4], q[3];\nry(1.1804) q[5];\nrz(0.097) q[5];\nry(0.3418) q[6];\nrz(-0.0619) q[6];\ncx q[6], q[5];\nry(0.0422) q[7];\nrz(-0.6733) q[7];\nry(-0.0242) q[8];\nrz(0.9737) q[8];\ncx q[8], q[7];\nry(1.021) q[9];\nrz(-0.7502) q[9];\nry(0.4699) q[10];\nrz(0.2229) q[10];\ncx q[10], q[9];\nry(-0.0252) q[11];\nrz(0.6513) q[11];\nry(-0.1333) q[12];\nrz(-0.7644) q[12];\ncx q[12], q[11];\nry(1.2926) q[13];\nrz(-0.0555) q[13];\nry(0.4535) q[14];\nrz(0.2218) q[14];\ncx q[14], q[13];\nry(0.0035) q[0];\nrz(0.7119) q[0];\nry(1.1673) q[1];\nrz(0.2998) q[1];\nry(1.2118) q[2];\nrz(1.0459) q[2];\nry(0.0409) q[3];\nrz(0.1569) q[3];\nry(1.2922) q[4];\nrz(0.0166) q[4];\nry(-0.1113) q[5];\nrz(-0.304) q[5];\nry(1.2644) q[6];\nrz(-0.007) q[6];\nry(-0.0846) q[7];\nrz(0.5282) q[7];\nry(0.7299) q[8];\nrz(0.2658) q[8];\nry(0.1902) q[9];\nrz(1.074) q[9];\nry(1.2938) q[10];\nrz(0.0707) q[10];\nry(0.0251) q[11];\nrz(-0.2459) q[11];\nry(1.2812) q[12];\nrz(-0.0083) q[12];\nry(1.1616) q[13];\nrz(-0.6959) q[13];\nry(0.3766) q[14];\nrz(-0.2774) q[14];\nry(1.2932) q[15];\nrz(0.0075) q[15];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\ncx q[13], q[12];\ncx q[15], q[14];\nry(-0.0041) q[1];\nrz(0.0098) q[1];\nry(1.2853) q[2];\nrz(0.0088) q[2];\ncx q[2], q[1];\nry(0.2303) q[3];\nrz(0.0086) q[3];\nry(1.2994) q[4];\nrz(0.0008) q[4];\ncx q[4], q[3];\nry(-0.3329) q[5];\nrz(0.0065) q[5];\nry(1.2818) q[6];\nrz(0.0055) q[6];\ncx q[6], q[5];\nry(-0.1228) q[7];\nrz(0.0057) q[7];\nry(0.8268) q[8];\nrz(0.0076) q[8];\ncx q[8], q[7];\nry(0.1276) q[9];\nrz(0.0089) q[9];\nry(1.2985) q[10];\nrz(0.0012) q[10];\ncx q[10], q[9];\nry(0.0008) q[11];\nrz(0.0025) q[11];\nry(1.2851) q[12];\nrz(0.0066) q[12];\ncx q[12], q[11];\nry(0.4739) q[13];\nrz(0.0062) q[13];\nry(1.2975) q[14];\nrz(0.0029) q[14];\ncx q[14], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[16] c;\nqubit[16] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x18) q[9];\nrz(x19) q[9];\nry(x20) q[10];\nrz(x21) q[10];\nry(x22) q[11];\nrz(x23) q[11];\nry(x24) q[12];\nrz(x25) q[12];\nry(x26) q[13];\nrz(x27) q[13];\nry(x28) q[14];\nrz(x29) q[14];\nry(x30) q[15];\nrz(x31) q[15];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\ncx q[13], q[12];\ncx q[15], q[14];\nry(x32) q[1];\nrz(x33) q[1];\nry(x34) q[2];\nrz(x35) q[2];\ncx q[2], q[1];\nry(x36) q[3];\nrz(x37) q[3];\nry(x38) q[4];\nrz(x39) q[4];\ncx q[4], q[3];\nry(x40) q[5];\nrz(x41) q[5];\nry(x42) q[6];\nrz(x43) q[6];\ncx q[6], q[5];\nry(x44) q[7];\nrz(x45) q[7];\nry(x46) q[8];\nrz(x47) q[8];\ncx q[8], q[7];\nry(x48) q[9];\nrz(x49) q[9];\nry(x50) q[10];\nrz(x51) q[10];\ncx q[10], q[9];\nry(x52) q[11];\nrz(x53) q[11];\nry(x54) q[12];\nrz(x55) q[12];\ncx q[12], q[11];\nry(x56) q[13];\nrz(x57) q[13];\nry(x58) q[14];\nrz(x59) q[14];\ncx q[14], q[13];\nry(x60) q[0];\nrz(x61) q[0];\nry(x62) q[1];\nrz(x63) q[1];\nry(x64) q[2];\nrz(x65) q[2];\nry(x66) q[3];\nrz(x67) q[3];\nry(x68) q[4];\nrz(x69) q[4];\nry(x70) q[5];\nrz(x71) q[5];\nry(x72) q[6];\nrz(x73) q[6];\nry(x74) q[7];\nrz(x75) q[7];\nry(x76) q[8];\nrz(x77) q[8];\nry(x78) q[9];\nrz(x79) q[9];\nry(x80) q[10];\nrz(x81) q[10];\nry(x82) q[11];\nrz(x83) q[11];\nry(x84) q[12];\nrz(x85) q[12];\nry(x86) q[13];\nrz(x87) q[13];\nry(x88) q[14];\nrz(x89) q[14];\nry(x90) q[15];\nrz(x91) q[15];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\ncx q[13], q[12];\ncx q[15], q[14];\nry(x92) q[1];\nrz(x93) q[1];\nry(x94) q[2];\nrz(x95) q[2];\ncx q[2], q[1];\nry(x96) q[3];\nrz(x97) q[3];\nry(x98) q[4];\nrz(x99) q[4];\ncx q[4], q[3];\nry(x100) q[5];\nrz(x101) q[5];\nry(x102) q[6];\nrz(x103) q[6];\ncx q[6], q[5];\nry(x104) q[7];\nrz(x105) q[7];\nry(x106) q[8];\nrz(x107) q[8];\ncx q[8], q[7];\nry(x108) q[9];\nrz(x109) q[9];\nry(x110) q[10];\nrz(x111) q[10];\ncx q[10], q[9];\nry(x99) q[11];\nrz(x112) q[11];\nry(x113) q[12];\nrz(x114) q[12];\ncx q[12], q[11];\nry(x115) q[13];\nrz(x116) q[13];\nry(x117) q[14];\nrz(x118) q[14];\ncx q[14], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 3}, {\"id\": 1}, {\"id\": 0}, {\"id\": 2}], \"edges\": [{\"source\": 3, \"target\": 0}, {\"source\": 1, \"target\": 0}, {\"source\": 1, \"target\": 2}]}}","{\"circuits\": [], \"gradients\": []}"]
["dc8ac5f82febba9dcace181eb5c76eb3","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [22, 21], \"expectation_value\": -0.12666166440507431, \"params\": [[-0.0478, -0.0105], [0.0671, 0.0194]], \"bitstrings\": [\"101001\", \"101010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01700148345481107, 0.017259686240850856], \"optimization_time\": 4.180830717086792}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4)",1,6,2,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"101001\", \"101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0478) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0478) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0478) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0478) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0478) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0478) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.0478) q[4];\ncx q[5], q[4];\nrz(0.0478) q[1];\nrz(0.0956) q[0];\nrz(0.1434) q[2];\nrz(0.0478) q[3];\nrz(0.0478) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.1342) q[0];\nh q[0];\nh q[1];\nrz(0.1342) q[1];\nh q[1];\nh q[2];\nrz(0.1342) q[2];\nh q[2];\nh q[3];\nrz(0.1342) q[3];\nh q[3];\nh q[4];\nrz(0.1342) q[4];\nh q[4];\nh q[5];\nrz(0.1342) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0105) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0105) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0105) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0105) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0105) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(-0.0105) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.0105) q[4];\ncx q[5], q[4];\nrz(0.0105) q[1];\nrz(0.021) q[0];\nrz(0.0315) q[2];\nrz(0.0105) q[3];\nrz(0.0105) q[5];\nrz(0) q[4];\nh q[0];\nrz(0.0388) q[0];\nh q[0];\nh q[1];\nrz(0.0388) q[1];\nh q[1];\nh q[2];\nrz(0.0388) q[2];\nh q[2];\nh q[3];\nrz(0.0388) q[3];\nh q[3];\nh q[4];\nrz(0.0388) q[4];\nh q[4];\nh q[5];\nrz(0.0388) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x1) q[3];\nrz(x1) q[5];\nrz(x4) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\nrz(x7) q[1];\nrz(x8) q[0];\nrz(x9) q[2];\nrz(x7) q[3];\nrz(x7) q[5];\nrz(x4) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["eee150816444ab6c0c032eb91552e06d","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 3}, {\"weight\": 14, \"source\": 0, \"target\": 4}, {\"weight\": 20, \"source\": 0, \"target\": 7}, {\"weight\": 14, \"source\": 0, \"target\": 5}, {\"weight\": 1, \"source\": 1, \"target\": 4}, {\"weight\": 15, \"source\": 1, \"target\": 5}, {\"weight\": 14, \"source\": 1, \"target\": 6}, {\"weight\": 5, \"source\": 2, \"target\": 5}]}","{\"states\": [230, 118], \"expectation_value\": -18.289470257582643, \"params\": [[0.0224, 0.0148], [-0.0609, -0.0799]], \"bitstrings\": [\"00011001\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009897362425892602, 0.01230462520713619], \"optimization_time\": 3.0402424335479736}","4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 6.5 * Z(0) + 14.5 * Z(3) + 16.0 * Z(1) + 20.5 * Z(2) + 5.0 * Z(4) + 7.0 * Z(6) + 16.5 * Z(5) + 2.5 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-74.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -61.0, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[3];\nrz(0.2016) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(0.2016) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(0.2016) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(0.2016) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.2016) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(0.2016) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(0.2016) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(0.2016) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(0.2016) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.2016) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.2016) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(0.2016) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.2016) q[7];\ncx q[5], q[7];\nrz(0.2912) q[0];\nrz(0.6496) q[3];\nrz(0.7168) q[1];\nrz(0.9184) q[2];\nrz(0.224) q[4];\nrz(0.3136) q[6];\nrz(0.7392) q[5];\nrz(0.112) q[7];\nh q[0];\nrz(-0.1218) q[0];\nh q[0];\nh q[1];\nrz(-0.1218) q[1];\nh q[1];\nh q[2];\nrz(-0.1218) q[2];\nh q[2];\nh q[3];\nrz(-0.1218) q[3];\nh q[3];\nh q[4];\nrz(-0.1218) q[4];\nh q[4];\nh q[5];\nrz(-0.1218) q[5];\nh q[5];\nh q[6];\nrz(-0.1218) q[6];\nh q[6];\nh q[7];\nrz(-0.1218) q[7];\nh q[7];\ncx q[0], q[3];\nrz(0.1332) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(0.1332) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(0.1332) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(0.1332) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.1332) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(0.1332) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(0.1332) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(0.1332) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(0.1332) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.1332) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.1332) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(0.1332) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.1332) q[7];\ncx q[5], q[7];\nrz(0.1924) q[0];\nrz(0.4292) q[3];\nrz(0.4736) q[1];\nrz(0.6068) q[2];\nrz(0.148) q[4];\nrz(0.2072) q[6];\nrz(0.4884) q[5];\nrz(0.074) q[7];\nh q[0];\nrz(-0.1598) q[0];\nh q[0];\nh q[1];\nrz(-0.1598) q[1];\nh q[1];\nh q[2];\nrz(-0.1598) q[2];\nh q[2];\nh q[3];\nrz(-0.1598) q[3];\nh q[3];\nh q[4];\nrz(-0.1598) q[4];\nh q[4];\nh q[5];\nrz(-0.1598) q[5];\nh q[5];\nh q[6];\nrz(-0.1598) q[6];\nh q[6];\nh q[7];\nrz(-0.1598) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x3) q[1];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[6];\nrz(x7) q[5];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x10) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x10) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\nrz(x11) q[0];\nrz(x12) q[3];\nrz(x13) q[1];\nrz(x14) q[2];\nrz(x15) q[4];\nrz(x16) q[6];\nrz(x17) q[5];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["4cd28f9bc761b26f6d6f15aeccbaedea","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 0, \"target\": 4}, {\"weight\": 18, \"source\": 0, \"target\": 5}, {\"weight\": 20, \"source\": 0, \"target\": 3}, {\"weight\": 17, \"source\": 1, \"target\": 6}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 9, \"source\": 4, \"target\": 5}, {\"weight\": 14, \"source\": 4, \"target\": 6}]}","{\"states\": [63, 121], \"expectation_value\": -30.30665998169914, \"params\": null, \"bitstrings\": [\"11000000\", \"10000110\"], \"total_optimization_steps\": 100, \"probabilities\": [0.0767581592572071, 0.16623903505297943], \"optimization_time\": 160.26924562454224}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 * Z(2) + 17.0 * Z(3) + 8.5 * Z(4) + 0.0 * Z(5) + 8.5 * Z(6) + 11.0 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-63.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -58.0, \"smallest_bitstrings\": [\"10000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[1];\nry(-0.6772) q[2];\nry(-18.6834) q[3];\nry(62.9278) q[7];\nry(23.7596) q[0];\ncry(17.8632) q[1], q[3];\nry(63.0091) q[6];\nry(22.5857) q[4];\ncry(10.0739) q[1], q[2];\ncry(0.9802) q[1], q[7];\ncry(57.1644) q[7], q[3];\ncry(4.3096) q[5], q[3];\ncry(0.5901) q[7], q[2];\ncry(0.3699) q[1], q[6];\ncry(-0.2362) q[7], q[6];\ncry(-0.2602) q[7], q[4];\ncry(0.1092) q[1], q[4];\ncry(-33.9826) q[7], q[1];\ncry(-12.2043) q[6], q[1];\ncry(-0.269) q[5], q[1];\ncry(-2.6471) q[6], q[2];\ncry(2.6845) q[2], q[1];\ncry(-0.2772) q[5], q[2];\ncry(-0.5807) q[2], q[4];\ncry(-0.0983) q[6], q[4];\ncry(0.6563) q[4], q[2];\ncry(-0.7285) q[5], q[4];\ncry(-1.5331) q[3], q[4];\ncry(3.3895) q[4], q[3];\ncry(-1.0686) q[3], q[2];\ncry(1.5748) q[1], q[5];\ncry(1.2) q[7], q[0];\ncry(1.9493) q[4], q[0];\ncry(-0.735) q[0], q[2];\ncry(1.1211) q[2], q[0];\ncry(-0.7052) q[2], q[3];\ncry(0.8153) q[1], q[0];\ncry(0.7433) q[3], q[1];\ncry(-0.0254) q[4], q[1];\nry(-0.7448) q[5];\ncry(-0.4617) q[5], q[7];\ncry(0.5656) q[3], q[5];\ncry(-0.5235) q[6], q[3];\ncry(1.456) q[5], q[0];\ncry(-2.834) q[0], q[3];\ncry(-0.6101) q[0], q[1];\ncry(0.9939) q[5], q[6];\ncry(-0.8625) q[2], q[6];\ncry(-1.1213) q[3], q[6];\ncry(0.4827) q[4], q[6];\ncry(0.1663) q[3], q[7];\ncry(-0.2567) q[0], q[7];\ncry(0.5798) q[6], q[7];\ncry(-0.1944) q[4], q[7];\ncry(-0.3646) q[0], q[6];\ncry(-0.9478) q[6], q[5];\ncry(0.4766) q[4], q[5];\ncry(-0.2891) q[6], q[0];\ncry(0.2376) q[3], q[0];\ncry(-0.1355) q[7], q[5];\ncry(0.3373) q[0], q[4];\ncry(0.054) q[2], q[7];\ncry(0.1585) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 7}\"}",{"$cut":{"chars":138550,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nry(-0.6772) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nry(-0.6772) q[2];\\nry(-18.6834) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nry(-0.6772) q[2];\\nry(-18.6834) q[3];\\nry(62.9278) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nry(-0.6772) q[2];\\nry(-18.6834) q[3];\\nry(62.9278) q[7];\\nry(23.7596) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nry(-0.6772) q[2];\\nry(-18.6834) q[3];\\nry(62.9278) q[7];\\nry(23.7596) q[0];\\ncry(17.8632) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nry(-0.6772) q[2];\\nry(-18.6834) q[3];\\nry(62.9278) q[7];\\nry(23.7596) q[0];\\ncry(17.8632) q[1], q[3];\\nry(63.0091) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nry(-0.6772) q[2];\\nry(-18.6834) q[3];\\nry(62.9278) q[7];\\nry(23.7596) q[0];\\ncry(17.8632) q[1], q[3];\\nry(63.0091) q[6];\\nry(22.5857) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nry(-0.6772) q[2];\\nry(-18.6834) q[3];\\nry(62.9278) q[7];\\nry(23.7596) q[0];\\ncry(17.8632) q[1], q[3];\\nry(63.0091) q[6];\\nry(22.5857) q[4];\\ncry(10.0739) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.5995) q[1];\\nry(-0.6772) q[2];\\nry(-18.6834) q[3];\\nry(62.9278) q[7];\\nry(23.7596) q[0];\\ncry(17.8632) q[1], q[3];\\nry(63.0091) q[6];\\nry(22.5857) q[4];\\ncry(10.0739) q[1], q[2];\\ncry(0.98"}}]
["e155e613d0da5ad0217dc455cb8fa9ba","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [33, 35], \"expectation_value\": -4.115614232733302, \"params\": [0.1559, 0.1125, 0.1542, 0.1124, 0.0039000000000000003, 0.2, 0.0045000000000000005, 0.2182, 0.4035, 0.0011, 0.39880000000000004, 0.0081, 0.0009000000000000001, 0.2427, -0.0005, 0.2401, 0.221, 0.031900000000000005, 0.21930000000000002, 0.0497, 0.0032, 0.23850000000000002, 0.0018000000000000002, 0.2409, 0.30610000000000004, 0.0227, 0.3028, 0.0502, 0.38620000000000004, 0.007200000000000001, 0.38920000000000005, 0.0025, 0.154, 0.11270000000000001, 0.15480000000000002, 0.11170000000000001, 0.0039000000000000003, 0.2238, -0.00030000000000000003, 0.21980000000000002, 0.4035, 0.0035, 0.4035, 0.0252, 0.0039000000000000003, 0.2506, 0.0012000000000000001, 0.2504, 0.2257, 0.0742, 0.2227, 0.08120000000000001, -0.0035, 0.2501, 0.0001, 0.24830000000000002, 0.3013, 0.0279, 0.3038, 0.0655, 0.389, 0.0023, 0.38480000000000003, 0.0035, 0.1558, 0.1148, 0.1521, 0.0015, 0.0026000000000000003, 0.2146, 0.0079, 0.0073, 0.4046, 0.0024000000000000002, 0.40650000000000003, 0.009600000000000001, 0.0006000000000000001, 0.26430000000000003, 0.0001, 0.0028, 0.2195, 0.1206, 0.2185, 0.009000000000000001, 0.0053, 0.2592, 0.0009000000000000001, 0.0094, 0.2987, 0.0164, 0.29700000000000004, 0.0019, 0.3885, 0.0019, 0.38820000000000005, 0.008700000000000001, -0.1899, 0.0177, -0.19460000000000002, 0.0238, -0.2029, 0.09720000000000001, 0.0122, 0.0018000000000000002, -0.2348, 0.051000000000000004, 0.0463, 0.07980000000000001, 0.0572, 0.1346, 0.0129, 0.0035, -0.2288, 0.0088, 0.28340000000000004, 0.0036000000000000003, 0.2686, 0.0099, 0.0134, 0.0047], \"bitstrings\": [\"11011110\", \"11011100\"], \"total_optimization_steps\": 40, \"probabilities\": [0.14228696655750483, 0.22998487395745282], \"optimization_time\": 58.618409872055054}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(5) + 0.0 * Z(7) + -1.5 * Z(1) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(2)",7,8,3,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 9, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"11100110\", \"01010111\", \"01011101\", \"10011110\", \"00011111\", \"11111000\", \"11101010\", \"11011100\", \"11010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.1559) q[0];\nrz(0.1125) q[0];\nrx(0.0039) q[1];\nrz(0.2) q[1];\nrx(0.4035) q[2];\nrz(0.0011) q[2];\nrx(0.0009) q[3];\nrz(0.2427) q[3];\nrx(0.221) q[4];\nrz(0.0319) q[4];\nrx(0.0032) q[5];\nrz(0.2385) q[5];\nrx(0.3061) q[6];\nrz(0.0227) q[6];\nrx(0.3862) q[7];\nrz(0.0072) q[7];\ncrz(-0.1899) q[1], q[0];\ncrz(-0.1946) q[3], q[2];\ncrz(-0.2029) q[5], q[4];\ncrz(0.0122) q[7], q[6];\nrx(0.1542) q[0];\nrz(0.1124) q[0];\nrx(0.0045) q[1];\nrz(0.2182) q[1];\nrx(0.3988) q[2];\nrz(0.0081) q[2];\nrx(-0.0005) q[3];\nrz(0.2401) q[3];\nrx(0.2193) q[4];\nrz(0.0497) q[4];\nrx(0.0018) q[5];\nrz(0.2409) q[5];\nrx(0.3028) q[6];\nrz(0.0502) q[6];\nrx(0.3892) q[7];\nrz(0.0025) q[7];\ncrz(0.0177) q[2], q[1];\ncrz(0.0238) q[4], q[3];\ncrz(0.0972) q[6], q[5];\nrx(0.154) q[0];\nrz(0.1127) q[0];\nrx(0.0039) q[1];\nrz(0.2238) q[1];\nrx(0.4035) q[2];\nrz(0.0035) q[2];\nrx(0.0039) q[3];\nrz(0.2506) q[3];\nrx(0.2257) q[4];\nrz(0.0742) q[4];\nrx(-0.0035) q[5];\nrz(0.2501) q[5];\nrx(0.3013) q[6];\nrz(0.0279) q[6];\nrx(0.389) q[7];\nrz(0.0023) q[7];\ncrz(-0.2348) q[1], q[0];\ncrz(0.0463) q[3], q[2];\ncrz(0.0572) q[5], q[4];\ncrz(0.0129) q[7], q[6];\nrx(0.1548) q[0];\nrz(0.1117) q[0];\nrx(-0.0003) q[1];\nrz(0.2198) q[1];\nrx(0.4035) q[2];\nrz(0.0252) q[2];\nrx(0.0012) q[3];\nrz(0.2504) q[3];\nrx(0.2227) q[4];\nrz(0.0812) q[4];\nrx(0.0001) q[5];\nrz(0.2483) q[5];\nrx(0.3038) q[6];\nrz(0.0655) q[6];\nrx(0.3848) q[7];\nrz(0.0035) q[7];\ncrz(0.051) q[2], q[1];\ncrz(0.0798) q[4], q[3];\ncrz(0.1346) q[6], q[5];\nrx(0.1558) q[0];\nrz(0.1148) q[0];\nrx(0.0026) q[1];\nrz(0.2146) q[1];\nrx(0.4046) q[2];\nrz(0.0024) q[2];\nrx(0.0006) q[3];\nrz(0.2643) q[3];\nrx(0.2195) q[4];\nrz(0.1206) q[4];\nrx(0.0053) q[5];\nrz(0.2592) q[5];\nrx(0.2987) q[6];\nrz(0.0164) q[6];\nrx(0.3885) q[7];\nrz(0.0019) q[7];\ncrz(-0.2288) q[1], q[0];\ncrz(0.2834) q[3], q[2];\ncrz(0.2686) q[5], q[4];\ncrz(0.0134) q[7], q[6];\nrx(0.1521) q[0];\nrz(0.0015) q[0];\nrx(0.0079) q[1];\nrz(0.0073) q[1];\nrx(0.4065) q[2];\nrz(0.0096) q[2];\nrx(0.0001) q[3];\nrz(0.0028) q[3];\nrx(0.2185) q[4];\nrz(0.009) q[4];\nrx(0.0009) q[5];\nrz(0.0094) q[5];\nrx(0.297) q[6];\nrz(0.0019) q[6];\nrx(0.3882) q[7];\nrz(0.0087) q[7];\ncrz(0.0088) q[2], q[1];\ncrz(0.0036) q[4], q[3];\ncrz(0.0099) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[1], q[0];\ncrz(x17) q[3], q[2];\ncrz(x18) q[5], q[4];\ncrz(x19) q[7], q[6];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\nrx(x34) q[7];\nrz(x35) q[7];\ncrz(x36) q[2], q[1];\ncrz(x37) q[4], q[3];\ncrz(x38) q[6], q[5];\nrx(x39) q[0];\nrz(x40) q[0];\nrx(x2) q[1];\nrz(x41) q[1];\nrx(x4) q[2];\nrz(x42) q[2];\nrx(x2) q[3];\nrz(x43) q[3];\nrx(x44) q[4];\nrz(x45) q[4];\nrx(x46) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\nrx(x50) q[7];\nrz(x51) q[7];\ncrz(x52) q[1], q[0];\ncrz(x53) q[3], q[2];\ncrz(x54) q[5], q[4];\ncrz(x55) q[7], q[6];\nrx(x56) q[0];\nrz(x57) q[0];\nrx(x58) q[1];\nrz(x59) q[1];\nrx(x4) q[2];\nrz(x60) q[2];\nrx(x61) q[3];\nrz(x62) q[3];\nrx(x63) q[4];\nrz(x64) q[4];\nrx(x65) q[5];\nrz(x66) q[5];\nrx(x67) q[6];\nrz(x68) q[6];\nrx(x69) q[7];\nrz(x42) q[7];\ncrz(x70) q[2], q[1];\ncrz(x71) q[4], q[3];\ncrz(x72) q[6], q[5];\nrx(x73) q[0];\nrz(x74) q[0];\nrx(x75) q[1];\nrz(x76) q[1];\nrx(x77) q[2];\nrz(x78) q[2];\nrx(x79) q[3];\nrz(x80) q[3];\nrx(x81) q[4];\nrz(x82) q[4];\nrx(x83) q[5];\nrz(x84) q[5];\nrx(x85) q[6];\nrz(x86) q[6];\nrx(x87) q[7];\nrz(x88) q[7];\ncrz(x89) q[1], q[0];\ncrz(x90) q[3], q[2];\ncrz(x91) q[5], q[4];\ncrz(x92) q[7], q[6];\nrx(x93) q[0];\nrz(x94) q[0];\nrx(x95) q[1];\nrz(x96) q[1];\nrx(x97) q[2];\nrz(x98) q[2];\nrx(x65) q[3];\nrz(x99) q[3];\nrx(x100) q[4];\nrz(x101) q[4];\nrx(x6) q[5];\nrz(x102) q[5];\nrx(x103) q[6];\nrz(x88) q[6];\nrx(x104) q[7];\nrz(x105) q[7];\ncrz(x106) q[2], q[1];\ncrz(x107) q[4], q[3];\ncrz(x108) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["747de4cdf6f4d8e013f44791f51c504b","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 7}, {\"weight\": 7, \"source\": 1, \"target\": 8}, {\"weight\": 17, \"source\": 1, \"target\": 11}, {\"weight\": 8, \"source\": 2, \"target\": 9}, {\"weight\": 20, \"source\": 2, \"target\": 10}, {\"weight\": 3, \"source\": 3, \"target\": 10}, {\"weight\": 2, \"source\": 4, \"target\": 11}, {\"weight\": 15, \"source\": 4, \"target\": 9}, {\"weight\": 2, \"source\": 5, \"target\": 12}, {\"weight\": 20, \"source\": 5, \"target\": 8}, {\"weight\": 15, \"source\": 6, \"target\": 10}]}","{\"states\": [650, 651], \"expectation_value\": -81.56376448812274, \"params\": [[[0.6857000000000001, 0.0623], [0.7031000000000001, 0.0981], [0.10300000000000001, 0.14700000000000002], [0.6952, 0.1675], [0.0572, 0.1874], [0.49360000000000004, -0.0122], [0.09720000000000001, 0.0135], [0.6934, 0.2182], [0.1595, 0.2792], [0.0328, 0.0519], [0.6816, 0.279]], [[0.13040000000000002, 0.060500000000000005], [0.7025, 0.0702], [0.0833, 0.085], [0.6953, 0.35650000000000004], [0.0845, 0.34240000000000004], [0.3926, -0.0216], [0.0955, -0.0697], [0.6588, 0.4259], [0.1681, 0.31670000000000004], [0.051000000000000004, 0.6505000000000001], [0.48700000000000004, 0.7001000000000001]], [[0.6475000000000001, 0.20450000000000002], [0.7042, -0.1136], [0.0952, 0.25780000000000003], [0.6944, 0.0699], [0.1406, 0.2109], [0.1529, -0.0925], [0.054, -0.0993], [0.4847, 0.4712], [0.5406000000000001, 0.7088], [0.3423, -0.10980000000000001], [0.525, 0.0427]], [[0.5999, -0.06760000000000001], [0.6963, 0.156], [0.0852, 0.24330000000000002], [0.7021000000000001, 0.3907], [0.0849, 0.2813], [0.2139, 0.1976], [0.0252, 0.2792], [0.6606000000000001, 0.4234], [-0.26680000000000004, 0.0931], [-0.0499, 0.0799], [0.6985, 0.2592]]], \"bitstrings\": [\"10101110101\", \"10101110100\"], \"total_optimization_steps\": 70, \"probabilities\": [0.15455491892899392, 0.26850772708059634], \"optimization_time\": 65.20703887939453}","7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(5)) + 3.5 * Z(2) + 8.5 * Z(1) + 17.0 * Z(3) + 4.0 * Z(4) + 1.5 * Z(5) + 7.5 * Z(7) + 1.0 * Z(6) + 10.0 * Z(9) + -6.0 * Z(8) + 7.5 * Z(10) + -10.0 * Z(0)",15,11,4,"{\"smallest_eigenvalues\": [-112.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -100.5, \"smallest_bitstrings\": [\"10101110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.6857) q[0];\nry(0.7031) q[1];\nry(0.103) q[2];\nry(0.6952) q[3];\nry(0.0572) q[4];\nry(0.4936) q[5];\nry(0.0972) q[6];\nry(0.6934) q[7];\nry(0.1595) q[8];\nry(0.0328) q[9];\nry(0.6816) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0623) q[0];\nry(0.0981) q[1];\nry(0.147) q[2];\nry(0.1675) q[3];\nry(0.1874) q[4];\nry(-0.0122) q[5];\nry(0.0135) q[6];\nry(0.2182) q[7];\nry(0.2792) q[8];\nry(0.0519) q[9];\nry(0.279) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(0.1304) q[0];\nry(0.7025) q[1];\nry(0.0833) q[2];\nry(0.6953) q[3];\nry(0.0845) q[4];\nry(0.3926) q[5];\nry(0.0955) q[6];\nry(0.6588) q[7];\nry(0.1681) q[8];\nry(0.051) q[9];\nry(0.487) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0605) q[0];\nry(0.0702) q[1];\nry(0.085) q[2];\nry(0.3565) q[3];\nry(0.3424) q[4];\nry(-0.0216) q[5];\nry(-0.0697) q[6];\nry(0.4259) q[7];\nry(0.3167) q[8];\nry(0.6505) q[9];\nry(0.7001) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(0.6475) q[0];\nry(0.7042) q[1];\nry(0.0952) q[2];\nry(0.6944) q[3];\nry(0.1406) q[4];\nry(0.1529) q[5];\nry(0.054) q[6];\nry(0.4847) q[7];\nry(0.5406) q[8];\nry(0.3423) q[9];\nry(0.525) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.2045) q[0];\nry(-0.1136) q[1];\nry(0.2578) q[2];\nry(0.0699) q[3];\nry(0.2109) q[4];\nry(-0.0925) q[5];\nry(-0.0993) q[6];\nry(0.4712) q[7];\nry(0.7088) q[8];\nry(-0.1098) q[9];\nry(0.0427) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(0.5999) q[0];\nry(0.6963) q[1];\nry(0.0852) q[2];\nry(0.7021) q[3];\nry(0.0849) q[4];\nry(0.2139) q[5];\nry(0.0252) q[6];\nry(0.6606) q[7];\nry(-0.2668) q[8];\nry(-0.0499) q[9];\nry(0.6985) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0676) q[0];\nry(0.156) q[1];\nry(0.2433) q[2];\nry(0.3907) q[3];\nry(0.2813) q[4];\nry(0.1976) q[5];\nry(0.2792) q[6];\nry(0.4234) q[7];\nry(0.0931) q[8];\nry(0.0799) q[9];\nry(0.2592) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x15) q[4];\nry(x16) q[5];\nry(x17) q[6];\nry(x18) q[7];\nry(x19) q[8];\nry(x20) q[9];\nry(x21) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x33) q[0];\nry(x34) q[1];\nry(x35) q[2];\nry(x36) q[3];\nry(x37) q[4];\nry(x38) q[5];\nry(x39) q[6];\nry(x40) q[7];\nry(x41) q[8];\nry(x42) q[9];\nry(x43) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x44) q[0];\nry(x45) q[1];\nry(x46) q[2];\nry(x47) q[3];\nry(x48) q[4];\nry(x49) q[5];\nry(x50) q[6];\nry(x51) q[7];\nry(x52) q[8];\nry(x53) q[9];\nry(x54) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x55) q[0];\nry(x56) q[1];\nry(x57) q[2];\nry(x58) q[3];\nry(x59) q[4];\nry(x60) q[5];\nry(x61) q[6];\nry(x62) q[7];\nry(x63) q[8];\nry(x64) q[9];\nry(x65) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x66) q[0];\nry(x67) q[1];\nry(x68) q[2];\nry(x69) q[3];\nry(x70) q[4];\nry(x71) q[5];\nry(x72) q[6];\nry(x73) q[7];\nry(x74) q[8];\nry(x75) q[9];\nry(x76) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x77) q[0];\nry(x78) q[1];\nry(x79) q[2];\nry(x80) q[3];\nry(x81) q[4];\nry(x82) q[5];\nry(x19) q[6];\nry(x83) q[7];\nry(x84) q[8];\nry(x85) q[9];\nry(x86) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10, 11, 12]}\"}","{\"circuits\": [], \"gradients\": []}"]
["31bcee1b066a63f64c6901bb1e1b69cb","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [21, 28], \"expectation_value\": -2.9963973272214712, \"params\": null, \"bitstrings\": [\"101010\", \"100011\"], \"total_optimization_steps\": 25, \"probabilities\": [0.06635225969610153, 0.9303258560517219], \"optimization_time\": 17.221124410629272}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5)",1,6,2,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"100011\", \"101010\", \"011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nry(-1.4449) q[0];\nry(1.4417) q[3];\nry(1.4417) q[1];\ncry(-1.0342) q[2], q[5];\nry(0.7003) q[2];\ncry(-0.1259) q[3], q[0];\nry(-0.4549) q[5];\ncry(0.4962) q[1], q[2];\ncry(-0.3788) q[1], q[5];\ncry(0.249) q[3], q[2];\ncry(-0.1488) q[3], q[5];\ncry(0.1208) q[1], q[3];\ncry(0.1186) q[3], q[1];\ncry(-0.0027) q[3], q[4];\ncry(-0.0227) q[5], q[2];\ncry(-0.0005) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\ncry(-0.0227) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\ncry(-0.0227) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\ncry(-0.0227) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\ncry(-0.0227) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\ncry(-0.0227) q[5], q[2];\\ncry(-0.0005) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\ncry(-0.0227) q[5], q[2];\\ncry(-0.0005) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4417) q[3];\\nry(1.4417) q[1];\\ncry(-1.0342) q[2], q[5];\\nry(0.7003) q[2];\\ncry(-0.1259) q[3], q[0];\\nry(-0.4549) q[5];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3788) q[1], q[5];\\ncry(0.249) q[3], q[2];\\ncry(-0.1488) q[3], q[5];\\ncry(0.1208) q[1], q[3];\\ncry(0.1186) q[3], q[1];\\ncry(-0.0027) q[3], q[4];\\ncry(-0.0227) q[5], q[2];\\ncry(-0.0005) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.0062, 0.503, 0.4961, 0.4958, 0.2509, 0.2451, 0.1917, 0.1886, 0.2236, 0.1882, 0.1273, 0.0785, 0.0626, 0.0617, 0.0139, 0.0097, 0.0073, 0.006, 0.0049, 0.0049, 0.0049, 0.0045, 0.0037, 0.003, 0.0028]}"]
["4689e6baa9337348674476b483dca2ad","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 9}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 9}]}","{\"states\": [1023, 1022], \"expectation_value\": -24.649950704941848, \"params\": [[[-1.9515, 1.0515], [0.0025, 2.0929], [0.002, 0.0024000000000000002], [0.0031000000000000003, 0.0025], [0.0024000000000000002, -0.0027], [0.0029000000000000002, -0.0027], [0.0022, 0.0027], [-0.0026000000000000003, 0.0026000000000000003], [-1.7586000000000002, 1.4172], [-0.015300000000000001, -1.3887]]], \"bitstrings\": [\"0000000000\", \"0000000001\"], \"total_optimization_steps\": 440, \"probabilities\": [0.2814111339753672, 0.2923543037038267], \"optimization_time\": 9.984894752502441}","-2.0 * (Z(0) @ Z(1)) + -3.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -3.0 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(7)) + -2.0 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 1.0 * Z(2) + -1.5 * Z(8) + -1.0 * Z(9)",15,10,1,"{\"smallest_eigenvalues\": [-27.5, -27.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -26.5, \"smallest_bitstrings\": [\"0010000011\", \"0000000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(-1.9515) q[0];\nry(0.0025) q[1];\nry(0.002) q[2];\nry(0.0031) q[3];\nry(0.0024) q[4];\nry(0.0029) q[5];\nry(0.0022) q[6];\nry(-0.0026) q[7];\nry(-1.7586) q[8];\nry(-0.0153) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.0515) q[0];\nry(2.0929) q[1];\nry(0.0024) q[2];\nry(0.0025) q[3];\nry(-0.0027) q[4];\nry(-0.0027) q[5];\nry(0.0027) q[6];\nry(0.0026) q[7];\nry(1.4172) q[8];\nry(-1.3887) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x11) q[1];\nry(x4) q[2];\nry(x1) q[3];\nry(x12) q[4];\nry(x12) q[5];\nry(x13) q[6];\nry(x14) q[7];\nry(x15) q[8];\nry(x16) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 9}","{\"circuits\": [], \"gradients\": []}"]
["73234867a8d73902463f648150631001","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 4, \"source\": 1, \"target\": 6}, {\"capacity\": 5, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 5, \"target\": 6}]}","{\"states\": [64, 63], \"expectation_value\": -0.31542483170350266, \"params\": [[0.0089, 0.0058000000000000005, -0.007500000000000001, 0.056900000000000006], [-0.0274, -0.019200000000000002, 0.014400000000000001, -0.0308]], \"bitstrings\": [\"0111111\", \"1000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009084791507558608, 0.009141243666656031], \"optimization_time\": 24.136361598968506}","-0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 * Z(3) + 0.5 * Z(4) + -1.0 * Z(5)",1,7,4,"{\"smallest_eigenvalues\": [-9.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.25, \"smallest_bitstrings\": [\"1000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0044) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(-0.0178) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0089) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(-0.0222) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(-0.0044) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(-0.0222) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(-0.0267) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.0222) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(-0.0089) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(-0.0134) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0134) q[5];\ncx q[4], q[5];\nrz(-0.0089) q[1];\nrz(-0.0044) q[0];\nrz(-0.0445) q[6];\nrz(0.0312) q[2];\nrz(0.0356) q[3];\nrz(0.0089) q[4];\nrz(-0.0178) q[5];\nh q[0];\nrz(-0.0548) q[0];\nh q[0];\nh q[1];\nrz(-0.0548) q[1];\nh q[1];\nh q[2];\nrz(-0.0548) q[2];\nh q[2];\nh q[3];\nrz(-0.0548) q[3];\nh q[3];\nh q[4];\nrz(-0.0548) q[4];\nh q[4];\nh q[5];\nrz(-0.0548) q[5];\nh q[5];\nh q[6];\nrz(-0.0548) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0029) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(-0.0116) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0058) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(-0.0145) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(-0.0029) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(-0.0145) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(-0.0174) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.0145) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(-0.0058) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(-0.0087) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0087) q[5];\ncx q[4], q[5];\nrz(-0.0058) q[1];\nrz(-0.0029) q[0];\nrz(-0.029) q[6];\nrz(0.0203) q[2];\nrz(0.0232) q[3];\nrz(0.0058) q[4];\nrz(-0.0116) q[5];\nh q[0];\nrz(-0.0384) q[0];\nh q[0];\nh q[1];\nrz(-0.0384) q[1];\nh q[1];\nh q[2];\nrz(-0.0384) q[2];\nh q[2];\nh q[3];\nrz(-0.0384) q[3];\nh q[3];\nh q[4];\nrz(-0.0384) q[4];\nh q[4];\nh q[5];\nrz(-0.0384) q[5];\nh q[5];\nh q[6];\nrz(-0.0384) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.0038) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(0.015) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0075) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(0.0188) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(0.0038) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(0.0188) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(0.0225) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(0.0188) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(0.0075) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(0.0113) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0113) q[5];\ncx q[4], q[5];\nrz(0.0075) q[1];\nrz(0.0038) q[0];\nrz(0.0375) q[6];\nrz(-0.0263) q[2];\nrz(-0.03) q[3];\nrz(-0.0075) q[4];\nrz(0.015) q[5];\nh q[0];\nrz(0.0288) q[0];\nh q[0];\nh q[1];\nrz(0.0288) q[1];\nh q[1];\nh q[2];\nrz(0.0288) q[2];\nh q[2];\nh q[3];\nrz(0.0288) q[3];\nh q[3];\nh q[4];\nrz(0.0288) q[4];\nh q[4];\nh q[5];\nrz(0.0288) q[5];\nh q[5];\nh q[6];\nrz(0.0288) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0285) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(-0.1138) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0569) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(-0.1423) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(-0.0285) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(-0.1423) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(-0.1707) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.1423) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(-0.0569) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(-0.0854) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0854) q[5];\ncx q[4], q[5];\nrz(-0.0569) q[1];\nrz(-0.0285) q[0];\nrz(-0.2845) q[6];\nrz(0.1992) q[2];\nrz(0.2276) q[3];\nrz(0.0569) q[4];\nrz(-0.1138) q[5];\nh q[0];\nrz(-0.0616) q[0];\nh q[0];\nh q[1];\nrz(-0.0616) q[1];\nh q[1];\nh q[2];\nrz(-0.0616) q[2];\nh q[2];\nh q[3];\nrz(-0.0616) q[3];\nh q[3];\nh q[4];\nrz(-0.0616) q[4];\nh q[4];\nh q[5];\nrz(-0.0616) q[5];\nh q[5];\nh q[6];\nrz(-0.0616) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(x3) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(x5) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x6) q[5];\ncx q[4], q[5];\nrz(x5) q[1];\nrz(x0) q[0];\nrz(x7) q[6];\nrz(x8) q[2];\nrz(x9) q[3];\nrz(x2) q[4];\nrz(x1) q[5];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(x12) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x13) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(x14) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(x11) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(x14) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x15) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x14) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(x16) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x17) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x17) q[5];\ncx q[4], q[5];\nrz(x16) q[1];\nrz(x11) q[0];\nrz(x18) q[6];\nrz(x19) q[2];\nrz(x20) q[3];\nrz(x13) q[4];\nrz(x12) q[5];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x22) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(x23) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x24) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(x25) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(x22) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(x25) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x26) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x25) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(x27) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x28) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x28) q[5];\ncx q[4], q[5];\nrz(x27) q[1];\nrz(x22) q[0];\nrz(x29) q[6];\nrz(x30) q[2];\nrz(x31) q[3];\nrz(x24) q[4];\nrz(x23) q[5];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x33) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(x34) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x35) q[6];\ncx q[0], q[6];\ncx q[1], q[2];\nrz(x36) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(x33) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(x36) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x37) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x36) q[4];\ncx q[2], q[4];\ncx q[6], q[5];\nrz(x38) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x39) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x39) q[5];\ncx q[4], q[5];\nrz(x38) q[1];\nrz(x33) q[0];\nrz(x40) q[6];\nrz(x41) q[2];\nrz(x42) q[3];\nrz(x35) q[4];\nrz(x34) q[5];\nh q[0];\nrz(x43) q[0];\nh q[0];\nh q[1];\nrz(x43) q[1];\nh q[1];\nh q[2];\nrz(x43) q[2];\nh q[2];\nh q[3];\nrz(x43) q[3];\nh q[3];\nh q[4];\nrz(x43) q[4];\nh q[4];\nh q[5];\nrz(x43) q[5];\nh q[5];\nh q[6];\nrz(x43) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["ceada473950316c985fdaa58a8618609","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 5, \"target\": 6}]}","{\"states\": [73, 77], \"expectation_value\": -2.589810322620873, \"params\": [0.8054, -0.0035, -0.0122, 0.4833, -0.007200000000000001, 0.5292, 0.806, 0.2414, 0.8017000000000001, 0.031100000000000003, 0.8024, 0.3614, 0.8001, 0.44260000000000005, 0.8039000000000001, 0.0019, -0.0098, 0.0057, -0.0099, 0.001, 0.8043, 0.0089, 0.7997000000000001, 0.0017000000000000001, 0.7979, 0.006200000000000001, 0.8013, 0.0094, -0.4572, 0.0213, 0.4813, -0.0018000000000000002, -0.20720000000000002, 0.46330000000000005, 0.0048000000000000004, 0.0025, 0.0088, 0.0032, 0.0092, 0.0097], \"bitstrings\": [\"0110110\", \"0110010\"], \"total_optimization_steps\": 80, \"probabilities\": [0.03730266793760567, 0.038135780314852236], \"optimization_time\": 4.684345245361328}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4)",3,7,2,"{\"smallest_eigenvalues\": [-4.5, -4.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"0110010\", \"0110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.8054) q[0];\nrz(-0.0035) q[0];\nrx(-0.0122) q[1];\nrz(0.4833) q[1];\nrx(-0.0072) q[2];\nrz(0.5292) q[2];\nrx(0.806) q[3];\nrz(0.2414) q[3];\nrx(0.8017) q[4];\nrz(0.0311) q[4];\nrx(0.8024) q[5];\nrz(0.3614) q[5];\nrx(0.8001) q[6];\nrz(0.4426) q[6];\ncrz(0.4633) q[6], q[5];\ncrz(-0.2072) q[5], q[4];\ncrz(-0.0018) q[4], q[3];\ncrz(0.4813) q[3], q[2];\ncrz(0.0213) q[2], q[1];\ncrz(-0.4572) q[1], q[0];\nrx(0.8039) q[0];\nrz(0.0019) q[0];\nrx(-0.0098) q[1];\nrz(0.0057) q[1];\nrx(-0.0099) q[2];\nrz(0.001) q[2];\nrx(0.8043) q[3];\nrz(0.0089) q[3];\nrx(0.7997) q[4];\nrz(0.0017) q[4];\nrx(0.7979) q[5];\nrz(0.0062) q[5];\nrx(0.8013) q[6];\nrz(0.0094) q[6];\ncrz(0.0097) q[6], q[5];\ncrz(0.0092) q[5], q[4];\ncrz(0.0032) q[4], q[3];\ncrz(0.0088) q[3], q[2];\ncrz(0.0025) q[2], q[1];\ncrz(0.0048) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[6], q[5];\ncrz(x15) q[5], q[4];\ncrz(x16) q[4], q[3];\ncrz(x17) q[3], q[2];\ncrz(x18) q[2], q[1];\ncrz(x19) q[1], q[0];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\ncrz(x34) q[6], q[5];\ncrz(x35) q[5], q[4];\ncrz(x36) q[4], q[3];\ncrz(x37) q[3], q[2];\ncrz(x38) q[2], q[1];\ncrz(x39) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["a2fbaabb441862c2d900444ba4ef581f","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}]}","{\"states\": [15, 255], \"expectation_value\": -11.581739995391064, \"params\": null, \"bitstrings\": [\"11110000\", \"00000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.08832625714626348, 0.5373861972861784], \"optimization_time\": 131.01187133789062}","-2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + -1.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6)",5,8,1,"{\"smallest_eigenvalues\": [-14.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.5, \"smallest_bitstrings\": [\"00000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[3], q[0];\ncry(1.5708) q[0], q[2];\ncry(1.1303) q[2], q[3];\ncry(-0.1763) q[2], q[0];\nry(-0.3708) q[0];\ncry(0.9852) q[1], q[0];\ncry(1.5706) q[5], q[7];\nry(1.056) q[5];\ncry(1.5707) q[5], q[6];\ncry(0.1727) q[6], q[0];\ncry(1.3627) q[3], q[1];\ncry(-0.6481) q[5], q[0];\ncry(0.2616) q[7], q[0];\ncry(0.6249) q[4], q[0];\ncry(1.5695) q[7], q[4];\ncry(0.412) q[4], q[7];\ncry(0.2168) q[6], q[5];\nry(-0.1595) q[2];\ncry(0.1582) q[3], q[2];\ncry(-0.1524) q[6], q[2];\ncry(0.1704) q[0], q[3];\nry(-0.1168) q[3];\ncry(-0.1882) q[5], q[1];\ncry(0.2665) q[0], q[1];\nry(-0.2284) q[1];\ncry(0.0887) q[1], q[2];\ncry(-0.0855) q[4], q[2];\ncry(0.0846) q[1], q[3];\ncry(-0.0843) q[5], q[3];\nry(0.0489) q[7];\ncry(-0.1158) q[0], q[4];\ncry(0.0974) q[5], q[4];\nry(-0.0645) q[6];\nry(-0.0586) q[4];\ncry(0.0625) q[7], q[6];\ncry(-0.0583) q[2], q[6];\ncry(0.0598) q[2], q[1];\ncry(-0.0493) q[6], q[1];\ncry(-0.0144) q[3], q[7];\ncry(0.0173) q[4], q[3];\ncry(-0.013) q[6], q[3];\ncry(0.0327) q[4], q[1];\ncry(0.0298) q[6], q[4];\ncry(-0.0057) q[7], q[5];\ncry(0.02) q[0], q[5];\ncry(-0.0122) q[4], q[5];\ncry(-0.0266) q[1], q[4];\ncry(-0.0239) q[7], q[1];\ncry(-0.006) q[5], q[2];\ncry(0.02) q[4], q[6];\ncry(-0.022) q[1], q[6];\ncry(0.004) q[7], q[2];\ncry(0.0076) q[3], q[4];\ncry(-0.0008) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"node\": 2}",{"$cut":{"chars":122752,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\ncry(1.1303) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\ncry(1.1303) q[2], q[3];\\ncry(-0.1763) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\ncry(1.1303) q[2], q[3];\\ncry(-0.1763) q[2], q[0];\\nry(-0.3708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\ncry(1.1303) q[2], q[3];\\ncry(-0.1763) q[2], q[0];\\nry(-0.3708) q[0];\\ncry(0.9852) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\ncry(1.1303) q[2], q[3];\\ncry(-0.1763) q[2], q[0];\\nry(-0.3708) q[0];\\ncry(0.9852) q[1], q[0];\\ncry(1.5706) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\ncry(1.1303) q[2], q[3];\\ncry(-0.1763) q[2], q[0];\\nry(-0.3708) q[0];\\ncry(0.9852) q[1], q[0];\\ncry(1.5706) q[5], q[7];\\nry(1.056) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\ncry(1.1303) q[2], q[3];\\ncry(-0.1763) q[2], q[0];\\nry(-0.3708) q[0];\\ncry(0.9852) q[1], q[0];\\ncry(1.5706) q[5], q[7];\\nry(1.056) q[5];\\ncry(1.5707) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7"}}]
["2595393ec6a8cf85d387fa4d443f68fe","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [48, 58], \"expectation_value\": -4.499934074184779, \"params\": null, \"bitstrings\": [\"001111\", \"000101\"], \"total_optimization_steps\": 27, \"probabilities\": [1.3833773570316686e-05, 0.999948184162596], \"optimization_time\": 21.103087425231934}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4)",1,6,2,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.5681) q[3];\nry(1.4449) q[2];\nry(1.4449) q[1];\nry(1.4449) q[0];\nry(1.4449) q[4];\ncry(0.1187) q[2], q[4];\ncry(0.1188) q[4], q[0];\ncry(0.1188) q[0], q[1];\ncry(0.1186) q[0], q[2];\ncry(-0.0027) q[4], q[3];\ncry(0.0072) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.5681) q[3];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4449) q[4];\\ncry(0.1187) q[2], q[4];\\ncry(0.1188) q[4], q[0];\\ncry(0.1188) q[0], q[1];\\ncry(0.1186) q[0], q[2];\\ncry(-0.0027) q[4], q[3];\\ncry(0.0072) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.5082, 1.0042, 0.5007, 0.5005, 0.5003, 0.5, 0.0611, 0.0613, 0.0613, 0.0612, 0.0175, 0.0168, 0.014, 0.014, 0.0125, 0.0105, 0.0105, 0.01, 0.0075, 0.0075, 0.007, 0.007, 0.005, 0.005, 0.0035, 0.0035, 0.0028]}"]
["d972279ded7f316374e6dacb276633a3","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 6, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 5, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 4, \"source\": 4, \"target\": 7}, {\"capacity\": 3, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 6, \"target\": 2}]}","{\"states\": [127, 63], \"expectation_value\": -8.246022690664965, \"params\": null, \"bitstrings\": [\"10000000\", \"11000000\"], \"total_optimization_steps\": 92, \"probabilities\": [0.20212563034862113, 0.47108249525079704], \"optimization_time\": 145.9586317539215}","-1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 0.25 * Z(4) + 0.25 * Z(5) + 0.75 * Z(2) + -1.25 * Z(6) + -0.25 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-8.75, -8.75, -8.75], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -7.75, \"smallest_bitstrings\": [\"11101110\", \"10000000\", \"11000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[6], q[2];\nry(1.5706) q[3];\ncry(-1.5681) q[7], q[0];\nry(1.1301) q[7];\ncry(1.566) q[2], q[5];\ncry(1.5707) q[5], q[4];\ncry(-0.4046) q[3], q[0];\ncry(0.2748) q[3], q[7];\nry(-0.2427) q[0];\ncry(0.5985) q[5], q[6];\ncry(0.3113) q[5], q[2];\ncry(0.1076) q[4], q[7];\ncry(0.3934) q[4], q[6];\ncry(0.0966) q[4], q[2];\ncry(1.0778) q[0], q[1];\ncry(-0.8149) q[7], q[1];\ncry(-0.0638) q[4], q[0];\ncry(0.3293) q[2], q[6];\ncry(0.3653) q[5], q[1];\nry(-0.2076) q[1];\ncry(-0.0856) q[7], q[5];\ncry(-0.0172) q[3], q[2];\ncry(0.0755) q[6], q[5];\ncry(-0.0735) q[4], q[5];\ncry(-0.0606) q[3], q[4];\ncry(0.2298) q[2], q[1];\ncry(-0.1599) q[3], q[1];\ncry(0.0607) q[2], q[4];\nry(-0.0606) q[4];\ncry(0.0606) q[6], q[4];\ncry(0.1774) q[6], q[1];\ncry(0.0763) q[1], q[5];\ncry(-0.0437) q[3], q[5];\ncry(-0.0558) q[3], q[6];\nry(-0.0138) q[2];\ncry(-0.0475) q[7], q[4];\ncry(0.0481) q[1], q[7];\ncry(-0.0071) q[5], q[0];\ncry(-0.0753) q[0], q[4];\ncry(-0.0039) q[7], q[2];\nry(-0.0144) q[6];\ncry(0.0267) q[1], q[4];\ncry(-0.0168) q[1], q[0];\ncry(0.0077) q[5], q[7];\ncry(0.0002) q[4], q[3];\ncry(-0.0006) q[2], q[7];\ncry(0.0232) q[1], q[6];\nry(-0.0035) q[5];\ncry(0.0054) q[1], q[2];\ncry(-0.0203) q[0], q[7];\ncry(-0.0035) q[7], q[6];\ncry(-0.0068) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 7}",{"$cut":{"chars":107522,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nry(1.5706) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nry(1.5706) q[3];\\ncry(-1.5681) q[7], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nry(1.5706) q[3];\\ncry(-1.5681) q[7], q[0];\\nry(1.1301) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nry(1.5706) q[3];\\ncry(-1.5681) q[7], q[0];\\nry(1.1301) q[7];\\ncry(1.566) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nry(1.5706) q[3];\\ncry(-1.5681) q[7], q[0];\\nry(1.1301) q[7];\\ncry(1.566) q[2], q[5];\\ncry(1.5707) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nry(1.5706) q[3];\\ncry(-1.5681) q[7], q[0];\\nry(1.1301) q[7];\\ncry(1.566) q[2], q[5];\\ncry(1.5707) q[5], q[4];\\ncry(-0.4046) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nry(1.5706) q[3];\\ncry(-1.5681) q[7], q[0];\\nry(1.1301) q[7];\\ncry(1.566) q[2], q[5];\\ncry(1.5707) q[5], q[4];\\ncry(-0.4046) q[3], q[0];\\ncry(0.2748) q[3], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nry(1.5706) q[3];\\ncry(-1.5681) q[7], q[0];\\nry(1.1301) q[7];\\ncry(1.566) q[2], q[5];\\ncry(1.5707) q[5], q[4];\\ncry(-0.4046) q[3], q[0];\\ncry(0.2748) q[3], q[7];\\nry(-0.2427) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5706) q[6], q[2];\\nry(1.5706) q[3];\\ncry(-1.5681)"}}]
["2a895515d0a8eaf1b57b7d486fef5b85","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [17, 3], \"expectation_value\": -5.069158825492042, \"params\": [[0.053200000000000004], [-0.044700000000000004]], \"bitstrings\": [\"1101110\", \"1111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01004148114529492, 0.010237088959945616], \"optimization_time\": 2.857025384902954}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2.75 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + -10.0 * Z(1) + -10.25 * Z(0) + -10.25 * Z(2) + -10.25 * Z(3) + -10.25 * Z(4) + -9.5 * Z(5) + -9.5 * Z(6)",18,7,1,"{\"smallest_eigenvalues\": [-30.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -28.5, \"smallest_bitstrings\": [\"1111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.2926) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2926) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2926) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.2926) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.2926) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2926) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.2926) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.2926) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.2926) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.2926) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.3192) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.3192) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.3192) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.2926) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.2926) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.3192) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.2926) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.2926) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.3192) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.3192) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.3192) q[6];\ncx q[5], q[6];\nrz(-1.064) q[1];\nrz(-1.0906) q[0];\nrz(-1.0906) q[2];\nrz(-1.0906) q[3];\nrz(-1.0906) q[4];\nrz(-1.0108) q[5];\nrz(-1.0108) q[6];\nh q[0];\nrz(-0.0894) q[0];\nh q[0];\nh q[1];\nrz(-0.0894) q[1];\nh q[1];\nh q[2];\nrz(-0.0894) q[2];\nh q[2];\nh q[3];\nrz(-0.0894) q[3];\nh q[3];\nh q[4];\nrz(-0.0894) q[4];\nh q[4];\nh q[5];\nrz(-0.0894) q[5];\nh q[5];\nh q[6];\nrz(-0.0894) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x3) q[4];\nrz(x4) q[5];\nrz(x4) q[6];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["5144181ac27497fdfa9bdb5b8b799630","graph_isomorphism","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}]}","{\"states\": [235, 427], \"expectation_value\": -6.516720859775182, \"params\": null, \"bitstrings\": [\"100010100\", \"001010100\"], \"total_optimization_steps\": 71, \"probabilities\": [0.10732474291520576, 0.8012628927503078], \"optimization_time\": 162.3955910205841}","0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.25 * Z(1) + 1.25 * Z(2) + 1.25 * Z(0) + 1.25 * Z(5) + 1.0 * Z(4) + 1.25 * Z(3) + 1.25 * Z(8) + 1.25 * Z(7) + 1.25 * Z(6)",1,9,4,"{\"smallest_eigenvalues\": [-7.0, -7.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"001010100\", \"100010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nry(1.5706) q[1];\ncry(1.5681) q[1], q[3];\ncry(-1.0342) q[7], q[4];\ncry(1.4138) q[1], q[5];\ncry(1.067) q[8], q[7];\ncry(-0.9143) q[5], q[4];\ncry(-1.416) q[0], q[2];\ncry(-1.3883) q[7], q[6];\nry(1.1904) q[0];\ncry(-0.7082) q[5], q[2];\nry(0.3434) q[7];\ncry(0.3167) q[1], q[0];\ncry(-0.2345) q[0], q[6];\ncry(-0.1299) q[8], q[2];\nry(0.1267) q[5];\ncry(-0.0815) q[8], q[4];\ncry(0.0396) q[0], q[7];\ncry(0.052) q[5], q[0];\ncry(-0.0232) q[3], q[2];\ncry(-0.0078) q[3], q[4];\ncry(0.0395) q[2], q[6];\ncry(0.0389) q[4], q[6];\ncry(0.0001) q[8], q[1];\ncry(-0.0279) q[4], q[7];\ncry(-0.0228) q[6], q[7];\ncry(0.0002) q[3], q[8];\ncry(0.0091) q[7], q[0];\ncry(-0.0036) q[7], q[2];\ncry(0.0001) q[1], q[7];\nry(0.0072) q[4];\ncry(-0.001) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 2}, {\"id\": 1}, {\"id\": 0}], \"edges\": [{\"source\": 2, \"target\": 1}, {\"source\": 1, \"target\": 0}]}}",{"$cut":{"chars":61644,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[8];\\nry(1.5706) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[8];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[8];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[3];\\ncry(-1.0342) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[8];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[3];\\ncry(-1.0342) q[7], q[4];\\ncry(1.4138) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[8];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[3];\\ncry(-1.0342) q[7], q[4];\\ncry(1.4138) q[1], q[5];\\ncry(1.067) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[8];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[3];\\ncry(-1.0342) q[7], q[4];\\ncry(1.4138) q[1], q[5];\\ncry(1.067) q[8], q[7];\\ncry(-0.9143) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[8];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[3];\\ncry(-1.0342) q[7], q[4];\\ncry(1.4138) q[1], q[5];\\ncry(1.067) q[8], q[7];\\ncry(-0.9143) q[5], q[4];\\ncry(-1.416) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5706) q[8];\\nry(1.5706) q[1];\\ncry(1.5681) q[1], q[3];\\ncry(-1.0342) q[7], q[4];\\ncry(1.4138) q[1], q[5];\\ncry(1.067) q[8], q[7];\\ncry(-0.9143) q[5], q[4];\\ncry(-1.416) q[0], q[2];\\ncry(-1.3883) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];"}}]
["94b4685949b0232e6f45bdcd5b80e7ab","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}]}","{\"states\": [294, 358], \"expectation_value\": -2.1275638939927526, \"params\": [[[0.5916, -0.0199], [0.18080000000000002, -0.016900000000000002], [0.5975, 0.1242], [0.6038, 0.1265], [-0.1814, 0.1177], [0.038700000000000005, -0.4576], [0.37970000000000004, 0.6076], [0.5901000000000001, 0.5987], [0.5912000000000001, -0.0859]], [[0.45740000000000003, 0.057100000000000005], [0.1686, 0.054], [0.6019, -0.022000000000000002], [0.5982000000000001, 0.1245], [0.0228, 0.1097], [0.187, -0.0205], [0.5906, 0.5979], [0.5976, 0.38920000000000005], [0.6021000000000001, 0.595]], [[0.3779, 0.0217], [0.155, 0.022600000000000002], [0.5977, 0.0057], [0.5988, -0.081], [0.18150000000000002, -0.0004], [0.401, -0.2217], [0.5930000000000001, 0.5921000000000001], [0.1928, 0.5998], [0.599, 0.5965]]], \"bitstrings\": [\"011011001\", \"010011001\"], \"total_optimization_steps\": 60, \"probabilities\": [0.1114170234910201, 0.17611817060630636], \"optimization_time\": 8.259398698806763}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(8)) + -0.125 * (Z(4) @ Z(6) @ Z(3)) + -0.125 * (Z(4) @ Z(8) @ Z(3)) + -0.125 * (Z(6) @ Z(8) @ Z(3)) + -0.125 * (Z(4) @ Z(6) @ Z(8)) + 0.125 * (Z(4) @ Z(6) @ Z(8) @ Z(3)) + 0.125 * Z(0) + -0.125 * Z(1) + -0.125 * Z(2) + 0.25 * Z(3) + -0.625 * Z(4) + -0.25 * Z(5) + 0.125 * Z(6) + -0.5 * Z(7) + -0.125 * Z(8)",15,9,3,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"100010011\", \"001011010\", \"011011000\", \"001010110\", \"010011001\", \"101010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.5916) q[0];\nry(0.1808) q[1];\nry(0.5975) q[2];\nry(0.6038) q[3];\nry(-0.1814) q[4];\nry(0.0387) q[5];\nry(0.3797) q[6];\nry(0.5901) q[7];\nry(0.5912) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0199) q[0];\nry(-0.0169) q[1];\nry(0.1242) q[2];\nry(0.1265) q[3];\nry(0.1177) q[4];\nry(-0.4576) q[5];\nry(0.6076) q[6];\nry(0.5987) q[7];\nry(-0.0859) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.4574) q[0];\nry(0.1686) q[1];\nry(0.6019) q[2];\nry(0.5982) q[3];\nry(0.0228) q[4];\nry(0.187) q[5];\nry(0.5906) q[6];\nry(0.5976) q[7];\nry(0.6021) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0571) q[0];\nry(0.054) q[1];\nry(-0.022) q[2];\nry(0.1245) q[3];\nry(0.1097) q[4];\nry(-0.0205) q[5];\nry(0.5979) q[6];\nry(0.3892) q[7];\nry(0.595) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.3779) q[0];\nry(0.155) q[1];\nry(0.5977) q[2];\nry(0.5988) q[3];\nry(0.1815) q[4];\nry(0.401) q[5];\nry(0.593) q[6];\nry(0.1928) q[7];\nry(0.599) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0217) q[0];\nry(0.0226) q[1];\nry(0.0057) q[2];\nry(-0.081) q[3];\nry(-0.0004) q[4];\nry(-0.2217) q[5];\nry(0.5921) q[6];\nry(0.5998) q[7];\nry(0.5965) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x27) q[0];\nry(x28) q[1];\nry(x29) q[2];\nry(x30) q[3];\nry(x31) q[4];\nry(x32) q[5];\nry(x33) q[6];\nry(x34) q[7];\nry(x35) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x36) q[0];\nry(x37) q[1];\nry(x38) q[2];\nry(x39) q[3];\nry(x40) q[4];\nry(x41) q[5];\nry(x42) q[6];\nry(x43) q[7];\nry(x44) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x45) q[0];\nry(x46) q[1];\nry(x47) q[2];\nry(x48) q[3];\nry(x49) q[4];\nry(x50) q[5];\nry(x51) q[6];\nry(x52) q[7];\nry(x53) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["16f78d4600a63f9e28571cad22ffe3ee","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 1, \"target\": 5}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 2, \"target\": 4}, {\"weight\": 18, \"source\": 2, \"target\": 6}, {\"weight\": 3, \"source\": 4, \"target\": 5}, {\"weight\": 12, \"source\": 4, \"target\": 6}, {\"weight\": 13, \"source\": 5, \"target\": 7}, {\"weight\": 4, \"source\": 6, \"target\": 7}]}","{\"states\": [185, 182], \"expectation_value\": -11.6993976024814, \"params\": [[-0.0393], [0.0772]], \"bitstrings\": [\"101000110\", \"101001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004274611021365353, 0.004874002988803149], \"optimization_time\": 2.045548439025879}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) + -4.0 * Z(0) + 14.5 * Z(3) + 4.0 * Z(2) + 18.0 * Z(4) + 10.5 * Z(5) + 15.0 * Z(6) + 11.0 * Z(7) + 6.5 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-78.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -68.5, \"smallest_bitstrings\": [\"101001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.3537) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.3537) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(-0.3537) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(-0.3537) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.3537) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(-0.3537) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(-0.3537) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.3537) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.3537) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.3537) q[7];\ncx q[1], q[7];\ncx q[5], q[7];\nrz(-0.3537) q[7];\ncx q[5], q[7];\ncx q[4], q[8];\nrz(-0.3537) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(-0.3537) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.3537) q[8];\ncx q[7], q[8];\nrz(-0.786) q[1];\nrz(0.3144) q[0];\nrz(-1.1397) q[3];\nrz(-0.3144) q[2];\nrz(-1.4148) q[4];\nrz(-0.8253) q[5];\nrz(-1.179) q[6];\nrz(-0.8646) q[7];\nrz(-0.5109) q[8];\nh q[0];\nrz(0.1544) q[0];\nh q[0];\nh q[1];\nrz(0.1544) q[1];\nh q[1];\nh q[2];\nrz(0.1544) q[2];\nh q[2];\nh q[3];\nrz(0.1544) q[3];\nh q[3];\nh q[4];\nrz(0.1544) q[4];\nh q[4];\nh q[5];\nrz(0.1544) q[5];\nh q[5];\nh q[6];\nrz(0.1544) q[6];\nh q[6];\nh q[7];\nrz(0.1544) q[7];\nh q[7];\nh q[8];\nrz(0.1544) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["d28c0f9718256cecde1b2d44382957db","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}]}","{\"states\": [98, 114], \"expectation_value\": -3.183810447667295, \"params\": [0.298, -0.0926, 0.5017, -0.0029000000000000002, 0.49960000000000004, -0.0012000000000000001, 0.48660000000000003, 0.0006000000000000001, -0.003, 0.2802, 0.0534, 0.3151, 0.49350000000000005, 0.0506, 0.0476, -0.2343, 0.29500000000000004, -0.09290000000000001, 0.5045000000000001, -0.005, 0.5088, -0.0011, 0.4893, 0.0004, -0.0041, 0.2811, 0.0526, 0.31570000000000004, 0.4904, 0.0663, 0.049800000000000004, -0.2354, 0.2912, -0.0925, 0.5036, -0.006500000000000001, 0.5017, 0.00030000000000000003, 0.4887, 0.002, -0.0021000000000000003, 0.29100000000000004, 0.0575, 0.3153, 0.4904, 0.0893, 0.051800000000000006, -0.2394, 0.2952, 0.0034000000000000002, 0.5026, 0.0038, 0.5043, 0.0014, 0.49350000000000005, 0.0063, -0.003, 0.0098, 0.0592, 0.0061, 0.48810000000000003, 0.0037, 0.0458, 0.0034000000000000002, 0.001, 0.004, -0.00030000000000000003, -0.2757, 0.0103, 0.0961, 0.23920000000000002, -0.014, 0.0019, 0.0049, -0.2903, 0.08, 0.1384, 0.2403, -0.038700000000000005, -0.0026000000000000003, 0.0006000000000000001, -0.27790000000000004, 0.09280000000000001, 0.18910000000000002, 0.21330000000000002, 0.0071, 0.0053, 0.0047, 0.00030000000000000003, 0.009600000000000001, 0.008400000000000001, 0.0082], \"bitstrings\": [\"10011101\", \"10001101\"], \"total_optimization_steps\": 50, \"probabilities\": [0.07474586060091302, 0.1654756019824547], \"optimization_time\": 10.926394939422607}","0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -0.5 * Z(6) + 0.0 * Z(0) + -2.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(5) + -0.5 * Z(3) + -1.0 * Z(7)",3,8,4,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"10001101\", \"00011011\", \"10011001\", \"10011100\", \"00001111\", \"00011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.298) q[0];\nrz(-0.0926) q[0];\nrx(0.5017) q[1];\nrz(-0.0029) q[1];\nrx(0.4996) q[2];\nrz(-0.0012) q[2];\nrx(0.4866) q[3];\nrz(0.0006) q[3];\nrx(-0.003) q[4];\nrz(0.2802) q[4];\nrx(0.0534) q[5];\nrz(0.3151) q[5];\nrx(0.4935) q[6];\nrz(0.0506) q[6];\nrx(0.0476) q[7];\nrz(-0.2343) q[7];\ncrz(0.2392) q[7], q[6];\ncrz(0.0961) q[6], q[5];\ncrz(0.0103) q[5], q[4];\ncrz(-0.2757) q[4], q[3];\ncrz(-0.0003) q[3], q[2];\ncrz(0.004) q[2], q[1];\ncrz(0.001) q[1], q[0];\nrx(0.295) q[0];\nrz(-0.0929) q[0];\nrx(0.5045) q[1];\nrz(-0.005) q[1];\nrx(0.5088) q[2];\nrz(-0.0011) q[2];\nrx(0.4893) q[3];\nrz(0.0004) q[3];\nrx(-0.0041) q[4];\nrz(0.2811) q[4];\nrx(0.0526) q[5];\nrz(0.3157) q[5];\nrx(0.4904) q[6];\nrz(0.0663) q[6];\nrx(0.0498) q[7];\nrz(-0.2354) q[7];\ncrz(0.2403) q[7], q[6];\ncrz(0.1384) q[6], q[5];\ncrz(0.08) q[5], q[4];\ncrz(-0.2903) q[4], q[3];\ncrz(0.0049) q[3], q[2];\ncrz(0.0019) q[2], q[1];\ncrz(-0.014) q[1], q[0];\nrx(0.2912) q[0];\nrz(-0.0925) q[0];\nrx(0.5036) q[1];\nrz(-0.0065) q[1];\nrx(0.5017) q[2];\nrz(0.0003) q[2];\nrx(0.4887) q[3];\nrz(0.002) q[3];\nrx(-0.0021) q[4];\nrz(0.291) q[4];\nrx(0.0575) q[5];\nrz(0.3153) q[5];\nrx(0.4904) q[6];\nrz(0.0893) q[6];\nrx(0.0518) q[7];\nrz(-0.2394) q[7];\ncrz(0.2133) q[7], q[6];\ncrz(0.1891) q[6], q[5];\ncrz(0.0928) q[5], q[4];\ncrz(-0.2779) q[4], q[3];\ncrz(0.0006) q[3], q[2];\ncrz(-0.0026) q[2], q[1];\ncrz(-0.0387) q[1], q[0];\nrx(0.2952) q[0];\nrz(0.0034) q[0];\nrx(0.5026) q[1];\nrz(0.0038) q[1];\nrx(0.5043) q[2];\nrz(0.0014) q[2];\nrx(0.4935) q[3];\nrz(0.0063) q[3];\nrx(-0.003) q[4];\nrz(0.0098) q[4];\nrx(0.0592) q[5];\nrz(0.0061) q[5];\nrx(0.4881) q[6];\nrz(0.0037) q[6];\nrx(0.0458) q[7];\nrz(0.0034) q[7];\ncrz(0.0082) q[7], q[6];\ncrz(0.0084) q[6], q[5];\ncrz(0.0096) q[5], q[4];\ncrz(0.0003) q[4], q[3];\ncrz(0.0047) q[3], q[2];\ncrz(0.0053) q[2], q[1];\ncrz(0.0071) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[6], q[5];\ncrz(x18) q[5], q[4];\ncrz(x19) q[4], q[3];\ncrz(x20) q[3], q[2];\ncrz(x21) q[2], q[1];\ncrz(x22) q[1], q[0];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\ncrz(x39) q[7], q[6];\ncrz(x40) q[6], q[5];\ncrz(x41) q[5], q[4];\ncrz(x42) q[4], q[3];\ncrz(x43) q[3], q[2];\ncrz(x44) q[2], q[1];\ncrz(x45) q[1], q[0];\nrx(x46) q[0];\nrz(x47) q[0];\nrx(x48) q[1];\nrz(x49) q[1];\nrx(x2) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x35) q[6];\nrz(x57) q[6];\nrx(x58) q[7];\nrz(x59) q[7];\ncrz(x60) q[7], q[6];\ncrz(x61) q[6], q[5];\ncrz(x62) q[5], q[4];\ncrz(x63) q[4], q[3];\ncrz(x7) q[3], q[2];\ncrz(x64) q[2], q[1];\ncrz(x65) q[1], q[0];\nrx(x66) q[0];\nrz(x67) q[0];\nrx(x68) q[1];\nrz(x69) q[1];\nrx(x70) q[2];\nrz(x71) q[2];\nrx(x12) q[3];\nrz(x72) q[3];\nrx(x8) q[4];\nrz(x73) q[4];\nrx(x74) q[5];\nrz(x75) q[5];\nrx(x76) q[6];\nrz(x77) q[6];\nrx(x78) q[7];\nrz(x67) q[7];\ncrz(x79) q[7], q[6];\ncrz(x80) q[6], q[5];\ncrz(x81) q[5], q[4];\ncrz(x50) q[4], q[3];\ncrz(x82) q[3], q[2];\ncrz(x83) q[2], q[1];\ncrz(x84) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["fbed7eb759f2b5af245b5b20e03cfb23","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [3, 34], \"expectation_value\": -4.973039785722057, \"params\": null, \"bitstrings\": [\"111100\", \"011101\"], \"total_optimization_steps\": 17, \"probabilities\": [0.0743643311537954, 0.8991266787991349], \"optimization_time\": 16.36042022705078}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(4)",1,6,3,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"111100\", \"111001\", \"011101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nry(-1.5708) q[2];\nry(-1.4449) q[3];\nry(1.4449) q[4];\ncry(-1.0398) q[0], q[5];\nry(0.6944) q[0];\nry(-0.451) q[5];\ncry(0.4963) q[4], q[0];\ncry(-0.3778) q[4], q[5];\ncry(-0.1177) q[4], q[3];\ncry(0.1069) q[0], q[4];\ncry(-0.0722) q[5], q[0];\ncry(0.0286) q[5], q[4];\ncry(-0.008) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\ncry(-0.3778) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\ncry(-0.3778) q[4], q[5];\\ncry(-0.1177) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\ncry(-0.3778) q[4], q[5];\\ncry(-0.1177) q[4], q[3];\\ncry(0.1069) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\ncry(-0.3778) q[4], q[5];\\ncry(-0.1177) q[4], q[3];\\ncry(0.1069) q[0], q[4];\\ncry(-0.0722) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\ncry(-0.3778) q[4], q[5];\\ncry(-0.1177) q[4], q[3];\\ncry(0.1069) q[0], q[4];\\ncry(-0.0722) q[5], q[0];\\ncry(0.0286) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\ncry(-0.3778) q[4], q[5];\\ncry(-0.1177) q[4], q[3];\\ncry(0.1069) q[0], q[4];\\ncry(-0.0722) q[5], q[0];\\ncry(0.0286) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\ncry(-0.3778) q[4], q[5];\\ncry(-0.1177) q[4], q[3];\\ncry(0.1069) q[0], q[4];\\ncry(-0.0722) q[5], q[0];\\ncry(0.0286) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\ncry(-0.3778) q[4], q[5];\\ncry(-0.1177) q[4], q[3];\\ncry(0.1069) q[0], q[4];\\ncry(-0.0722) q[5], q[0];\\ncry(0.0286) q[5], q[4];\\ncry(-0.008) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5708) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[4];\\ncry(-1.0398) q[0], q[5];\\nry(0.6944) q[0];\\nry(-0.451) q[5];\\ncry(0.4963) q[4], q[0];\\ncry(-0.3778) q[4], q[5];\\ncry(-0.1177) q[4], q[3];\\ncry(0.1069) q[0], q[4];\\ncry(-0.0722) q[5], q[0];\\ncry(0.0286) q[5], q[4];\\ncry(-0.008) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [2.0122, 1.5075, 0.5028, 0.5, 0.2527, 0.2435, 0.1873, 0.223, 0.188, 0.061, 0.0517, 0.0157, 0.0062, 0.0044, 0.0044, 0.0044, 0.003]}"]
["48bc2fe3cb79b98fee18d505d1ebe59b","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [33, 65], \"expectation_value\": -4.910603879608039, \"params\": null, \"bitstrings\": [\"1011110\", \"0111110\"], \"total_optimization_steps\": 22, \"probabilities\": [0.06070092546510561, 0.7871871279988286], \"optimization_time\": 32.06194043159485}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) + -1.0 * Z(2) + -1.0 * Z(6)",1,7,4,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1011110\", \"0101111\", \"1110110\", \"0111101\", \"1100111\", \"0111110\", \"1011011\", \"1001111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nry(-1.5708) q[5];\nry(-1.4449) q[3];\ncry(-1.0398) q[0], q[1];\ncry(-1.0342) q[6], q[2];\nry(0.7003) q[6];\nry(0.6944) q[0];\nry(-0.4549) q[2];\nry(-0.451) q[1];\ncry(0.4573) q[0], q[6];\ncry(0.4514) q[6], q[0];\ncry(-0.3527) q[6], q[1];\ncry(-0.3468) q[0], q[2];\ncry(-0.1155) q[0], q[3];\ncry(0.1059) q[1], q[6];\ncry(0.1019) q[2], q[0];\ncry(-0.0989) q[1], q[0];\ncry(-0.095) q[2], q[6];\ncry(-0.0145) q[6], q[3];\ncry(-0.0216) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\ncry(-0.1155) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\ncry(-0.1155) q[0], q[3];\\ncry(0.1059) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\ncry(-0.1155) q[0], q[3];\\ncry(0.1059) q[1], q[6];\\ncry(0.1019) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\ncry(-0.1155) q[0], q[3];\\ncry(0.1059) q[1], q[6];\\ncry(0.1019) q[2], q[0];\\ncry(-0.0989) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\ncry(-0.1155) q[0], q[3];\\ncry(0.1059) q[1], q[6];\\ncry(0.1019) q[2], q[0];\\ncry(-0.0989) q[1], q[0];\\ncry(-0.095) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\ncry(-0.1155) q[0], q[3];\\ncry(0.1059) q[1], q[6];\\ncry(0.1019) q[2], q[0];\\ncry(-0.0989) q[1], q[0];\\ncry(-0.095) q[2], q[6];\\ncry(-0.0145) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\ncry(-0.1155) q[0], q[3];\\ncry(0.1059) q[1], q[6];\\ncry(0.1019) q[2], q[0];\\ncry(-0.0989) q[1], q[0];\\ncry(-0.095) q[2], q[6];\\ncry(-0.0145) q[6], q[3];\\ncry(-0.0216) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\ncry(-0.1155) q[0], q[3];\\ncry(0.1059) q[1], q[6];\\ncry(0.1019) q[2], q[0];\\ncry(-0.0989) q[1], q[0];\\ncry(-0.095) q[2], q[6];\\ncry(-0.0145) q[6], q[3];\\ncry(-0.0216) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5708) q[5];\\nry(-1.4449) q[3];\\ncry(-1.0398) q[0], q[1];\\ncry(-1.0342) q[6], q[2];\\nry(0.7003) q[6];\\nry(0.6944) q[0];\\nry(-0.4549) q[2];\\nry(-0.451) q[1];\\ncry(0.4573) q[0], q[6];\\ncry(0.4514) q[6], q[0];\\ncry(-0.3527) q[6], q[1];\\ncry(-0.3468) q[0], q[2];\\ncry(-0.1155) q[0], q[3];\\ncry(0.1059) q[1], q[6];\\ncry(0.1019) q[2], q[0];\\ncry(-0.0989) q[1], q[0];\\ncry(-0.095) q[2], q[6];\\ncry(-0.0145) q[6], q[3];\\ncry(-0.0216) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [2.0137, 1.5087, 0.5035, 0.2527, 0.2506, 0.2461, 0.2433, 0.1881, 0.1871, 0.1751, 0.1869, 0.1595, 0.1557, 0.0564, 0.0226, 0.0218, 0.0217, 0.0208, 0.0072, 0.0049, 0.004, 0.0026]}"]
["d78f7556e7639886d17f02ad3944a31a","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}]}","{\"states\": [3, 451], \"expectation_value\": -14.59728194241496, \"params\": null, \"bitstrings\": [\"111111100\", \"000111100\"], \"total_optimization_steps\": 84, \"probabilities\": [0.11261070997788973, 0.5349675351243192], \"optimization_time\": 103.44000482559204}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)",5,9,1,"{\"smallest_eigenvalues\": [-18.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"000111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nry(-0.7408) q[6];\nry(-1.5708) q[4];\ncry(-0.8008) q[8], q[6];\nry(-1.5708) q[3];\ncry(0.2862) q[7], q[6];\ncry(0.1077) q[2], q[6];\ncry(0.0496) q[1], q[6];\ncry(0.0242) q[0], q[6];\ncry(1.5681) q[2], q[1];\ncry(1.2308) q[1], q[2];\ncry(1.57) q[1], q[0];\ncry(1.5472) q[8], q[7];\nry(1.0886) q[8];\nry(0.5277) q[7];\ncry(0.3599) q[7], q[8];\ncry(0.6463) q[6], q[8];\nry(-0.11) q[0];\ncry(0.1106) q[2], q[0];\ncry(0.1021) q[0], q[7];\ncry(-0.1083) q[7], q[0];\ncry(0.1075) q[6], q[7];\ncry(-0.013) q[2], q[7];\ncry(-0.0132) q[1], q[8];\ncry(-0.0218) q[6], q[1];\ncry(-0.0442) q[6], q[2];\ncry(-0.0072) q[1], q[7];\ncry(-0.0039) q[2], q[8];\ncry(-0.0111) q[6], q[0];\ncry(0.0038) q[0], q[2];\ncry(0.0045) q[0], q[1];\ncry(-0.0002) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"node\": 4}",{"$cut":{"chars":74562,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-0.7408) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-0.7408) q[6];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-0.7408) q[6];\\nry(-1.5708) q[4];\\ncry(-0.8008) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-0.7408) q[6];\\nry(-1.5708) q[4];\\ncry(-0.8008) q[8], q[6];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-0.7408) q[6];\\nry(-1.5708) q[4];\\ncry(-0.8008) q[8], q[6];\\nry(-1.5708) q[3];\\ncry(0.2862) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-0.7408) q[6];\\nry(-1.5708) q[4];\\ncry(-0.8008) q[8], q[6];\\nry(-1.5708) q[3];\\ncry(0.2862) q[7], q[6];\\ncry(0.1077) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-0.7408) q[6];\\nry(-1.5708) q[4];\\ncry(-0.8008) q[8], q[6];\\nry(-1.5708) q[3];\\ncry(0.2862) q[7], q[6];\\ncry(0.1077) q[2], q[6];\\ncry(0.0496) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-0.7408) q[6];\\nry(-1.5708) q[4];\\ncry(-0.8008) q[8], q[6];\\nry(-1.5708) q[3];\\ncry(0.2862) q[7], q[6];\\ncry(0.1077) q[2], q[6];\\ncry(0.0496) q[1], q[6];\\ncry(0.0242) q[0], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = me"}}]
["5cbc7f8ae1a50d78d4d20f52d11c6d9a","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}]}","{\"states\": [33, 3], \"expectation_value\": -14.923580020987941, \"params\": null, \"bitstrings\": [\"011110\", \"111100\"], \"total_optimization_steps\": 51, \"probabilities\": [0.13608908662623545, 0.5552705121777858], \"optimization_time\": 50.330024003982544}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + -6.0 * Z(1) + -6.0 * Z(0) + -6.0 * Z(2) + -5.75 * Z(3) + -5.5 * Z(4) + -5.25 * Z(5)",13,6,4,"{\"smallest_eigenvalues\": [-16.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.25, \"smallest_bitstrings\": [\"111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[0];\nry(-0.1184) q[1];\nry(-0.2053) q[2];\nry(-0.5055) q[3];\ncry(-1.3427) q[5], q[2];\ncry(-1.5018) q[4], q[0];\ncry(-1.0653) q[1], q[3];\ncry(-1.1823) q[5], q[1];\nry(0.5822) q[5];\ncry(-0.4846) q[4], q[2];\ncry(-0.3873) q[4], q[3];\nry(0.3609) q[4];\ncry(-0.3987) q[4], q[1];\ncry(-0.2648) q[5], q[0];\ncry(1.2523) q[3], q[1];\ncry(-0.5406) q[5], q[3];\ncry(0.6043) q[5], q[4];\ncry(-0.8802) q[1], q[2];\ncry(0.4175) q[4], q[5];\ncry(-0.5873) q[0], q[1];\ncry(-0.4967) q[0], q[4];\ncry(-0.5976) q[2], q[3];\ncry(0.422) q[0], q[5];\ncry(-0.2766) q[0], q[2];\ncry(-0.2706) q[0], q[3];\ncry(0.4309) q[2], q[4];\ncry(0.4301) q[1], q[4];\ncry(-0.577) q[1], q[5];\ncry(0.2846) q[3], q[2];\ncry(-0.1913) q[2], q[5];\ncry(0.1642) q[3], q[5];\ncry(-0.0584) q[2], q[1];\ncry(0.0765) q[3], q[4];\ncry(-0.0251) q[1], q[0];\ncry(-0.034) q[2], q[0];\ncry(-0.0158) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"k\": 4}",{"$cut":{"chars":41954,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nry(-0.2053) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nry(-0.2053) q[2];\\nry(-0.5055) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nry(-0.2053) q[2];\\nry(-0.5055) q[3];\\ncry(-1.3427) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nry(-0.2053) q[2];\\nry(-0.5055) q[3];\\ncry(-1.3427) q[5], q[2];\\ncry(-1.5018) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nry(-0.2053) q[2];\\nry(-0.5055) q[3];\\ncry(-1.3427) q[5], q[2];\\ncry(-1.5018) q[4], q[0];\\ncry(-1.0653) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nry(-0.2053) q[2];\\nry(-0.5055) q[3];\\ncry(-1.3427) q[5], q[2];\\ncry(-1.5018) q[4], q[0];\\ncry(-1.0653) q[1], q[3];\\ncry(-1.1823) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nry(-0.2053) q[2];\\nry(-0.5055) q[3];\\ncry(-1.3427) q[5], q[2];\\ncry(-1.5018) q[4], q[0];\\ncry(-1.0653) q[1], q[3];\\ncry(-1.1823) q[5], q[1];\\nry(0.5822) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nry(-0.2053) q[2];\\nry(-0.5055) q[3];\\ncry(-1.3427) q[5], q[2];\\ncry(-1.5018) q[4], q[0];\\ncry(-1.0653) q[1], q[3];\\ncry(-1.1823) q[5], q[1];\\nry(0.5822) q[5];\\ncry(-0.4846) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-0.069) q[0];\\nry(-0.1184) q[1];\\nry(-0.2053) q[2];\\nry(-0.5055) q[3];\\ncry(-1.3427) q[5], q[2];\\ncry(-1.5018) q[4], q[0];\\ncry(-1.0653) q[1], q[3];\\ncry(-1.1823) q[5], q[1];\\nry(0.5822) q[5];\\ncry(-0.4846) q[4], q[2];\\ncry(-0.3873)"}}]
["a91613587e2e3ed31c854337981da9dd","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 5, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 6}, {\"capacity\": 5, \"source\": 5, \"target\": 3}, {\"capacity\": 4, \"source\": 6, \"target\": 4}]}","{\"states\": [1, 5], \"expectation_value\": -8.994069887330976, \"params\": null, \"bitstrings\": [\"11111110\", \"11111010\"], \"total_optimization_steps\": 21, \"probabilities\": [0.49801329686780876, 0.49901874048113365], \"optimization_time\": 18.549209117889404}","-0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -1.75 * Z(4) + 1.25 * Z(5)",1,8,2,"{\"smallest_eigenvalues\": [-9.0, -9.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -8.0, \"smallest_bitstrings\": [\"11111110\", \"11111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 7}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\"], \"gradients\": [1.7412, 1.987, 1.7417, 1.7491, 0.4985, 0.7463, 0.4989, 0.0637, 0.0438, 0.026, 0.0125, 0.0087, 0.0075, 0.0075, 0.0062, 0.0052, 0.0052, 0.005, 0.0035, 0.0035, 0.003]}"]
["1edfe126d3cf465290b6c98710f2e60a","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 5, \"source\": 0, \"target\": 8}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 4, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 7}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 5, \"source\": 3, \"target\": 7}, {\"capacity\": 3, \"source\": 3, \"target\": 8}, {\"capacity\": 5, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 5, \"target\": 3}, {\"capacity\": 4, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 3, \"source\": 6, \"target\": 7}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 2, \"source\": 7, \"target\": 6}, {\"capacity\": 4, \"source\": 7, \"target\": 8}]}","{\"states\": [510, 255], \"expectation_value\": -0.022757517958913093, \"params\": [[0.0198, -0.054, -0.06770000000000001, 0.08950000000000001, -0.0324, 0.0845, -0.0724, -0.0611, -0.0008], [0.08750000000000001, -0.06620000000000001, 0.0008, 0.0557, 0.0015, 0.0659, -0.0008, -0.0533, 0.0883], [-0.0395, 0.0864, 0.07150000000000001, 0.1047, 0.0011, 0.0966, 0.0709, 0.08600000000000001, -0.0357], [-0.034300000000000004, 0.08710000000000001, 0.08070000000000001, 0.10250000000000001, -0.0012000000000000001, 0.0966, 0.07680000000000001, 0.0853, 0.0458]], \"bitstrings\": [\"000000001\", \"100000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004179909808708476, 0.004196015180362013], \"optimization_time\": 13.335498809814453}","-0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(7)) + -1.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(7)) + -1.25 * (Z(3) @ Z(6)) + 3.75 * Z(2) + -0.25 * Z(0) + -2.75 * Z(5) + 0.0 * Z(8) + 1.25 * Z(1) + -0.75 * Z(4) + -2.25 * Z(7) + -3.0 * Z(6) + 4.0 * Z(3)",9,9,4,"{\"smallest_eigenvalues\": [-19.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -18.0, \"smallest_bitstrings\": [\"100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0198) q[0];\nrx(-0.054) q[1];\nrx(-0.0677) q[2];\nrx(0.0895) q[3];\nrx(-0.0324) q[4];\nrx(0.0845) q[5];\nrx(-0.0724) q[6];\nrx(-0.0611) q[7];\nrx(-0.0008) q[8];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0875) q[0];\nrx(-0.0662) q[1];\nrx(0.0008) q[2];\nrx(0.0557) q[3];\nrx(0.0015) q[4];\nrx(0.0659) q[5];\nrx(-0.0008) q[6];\nrx(-0.0533) q[7];\nrx(0.0883) q[8];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.0395) q[0];\nrx(0.0864) q[1];\nrx(0.0715) q[2];\nrx(0.1047) q[3];\nrx(0.0011) q[4];\nrx(0.0966) q[5];\nrx(0.0709) q[6];\nrx(0.086) q[7];\nrx(-0.0357) q[8];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.0343) q[0];\nrx(0.0871) q[1];\nrx(0.0807) q[2];\nrx(0.1025) q[3];\nrx(-0.0012) q[4];\nrx(0.0966) q[5];\nrx(0.0768) q[6];\nrx(0.0853) q[7];\nrx(0.0458) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nrx(x6) q[6];\nrx(x7) q[7];\nrx(x8) q[8];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x9) q[0];\nrx(x10) q[1];\nrx(x11) q[2];\nrx(x12) q[3];\nrx(x13) q[4];\nrx(x14) q[5];\nrx(x8) q[6];\nrx(x15) q[7];\nrx(x16) q[8];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x17) q[0];\nrx(x18) q[1];\nrx(x19) q[2];\nrx(x20) q[3];\nrx(x21) q[4];\nrx(x22) q[5];\nrx(x23) q[6];\nrx(x24) q[7];\nrx(x25) q[8];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x26) q[0];\nrx(x27) q[1];\nrx(x28) q[2];\nrx(x29) q[3];\nrx(x30) q[4];\nrx(x22) q[5];\nrx(x31) q[6];\nrx(x32) q[7];\nrx(x33) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["4e25283e9474f6784f895048b0f76821","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 9}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 9}]}","{\"states\": [111, 495], \"expectation_value\": -9.812824169557388, \"params\": null, \"bitstrings\": [\"110010000\", \"000010000\"], \"total_optimization_steps\": 89, \"probabilities\": [0.13323584901428293, 0.39974580157491263], \"optimization_time\": 149.5929205417633}","-1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4)",1,9,1,"{\"smallest_eigenvalues\": [-12.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"000010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[7], q[8];\nry(1.056) q[7];\ncry(1.5708) q[5], q[6];\nry(1.115) q[5];\nry(0.556) q[6];\nry(0.5144) q[8];\ncry(0.402) q[8], q[7];\ncry(0.3605) q[6], q[5];\ncry(1.5486) q[2], q[3];\ncry(1.2305) q[3], q[2];\ncry(1.5486) q[1], q[0];\ncry(1.2305) q[0], q[1];\nry(-1.4449) q[4];\ncry(0.0514) q[5], q[8];\ncry(0.0363) q[7], q[6];\ncry(-0.1142) q[6], q[4];\ncry(0.0217) q[5], q[7];\ncry(0.0151) q[7], q[5];\ncry(0.0132) q[0], q[8];\nry(0.0163) q[0];\nry(0.0163) q[3];\ncry(-0.0267) q[7], q[4];\ncry(0.0092) q[0], q[6];\nry(0.0085) q[2];\nry(0.0085) q[1];\ncry(0.0048) q[6], q[7];\ncry(0.0054) q[2], q[8];\ncry(-0.0019) q[1], q[8];\ncry(0.0002) q[3], q[7];\ncry(-0.0061) q[3], q[4];\ncry(0.0139) q[5], q[4];\ncry(-0.0124) q[1], q[4];\ncry(0.0059) q[5], q[0];\ncry(0.0059) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"node\": 5}",{"$cut":{"chars":76052,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5706) q[7], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5706) q[7], q[8];\\nry(1.056) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5706) q[7], q[8];\\nry(1.056) q[7];\\ncry(1.5708) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5706) q[7], q[8];\\nry(1.056) q[7];\\ncry(1.5708) q[5], q[6];\\nry(1.115) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5706) q[7], q[8];\\nry(1.056) q[7];\\ncry(1.5708) q[5], q[6];\\nry(1.115) q[5];\\nry(0.556) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5706) q[7], q[8];\\nry(1.056) q[7];\\ncry(1.5708) q[5], q[6];\\nry(1.115) q[5];\\nry(0.556) q[6];\\nry(0.5144) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5706) q[7], q[8];\\nry(1.056) q[7];\\ncry(1.5708) q[5], q[6];\\nry(1.115) q[5];\\nry(0.556) q[6];\\nry(0.5144) q[8];\\ncry(0.402) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5706) q[7], q[8];\\nry(1.056) q[7];\\ncry(1.5708) q[5], q[6];\\nry(1.115) q[5];\\nry(0.556) q[6];\\nry(0.5144) q[8];\\ncry(0.402) q[8], q[7];\\ncry(0.3605) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(1.5706) q[7], q[8];\\nry(1.056) q[7];\\ncry(1.5708) q[5], q[6];\\nry(1.115) q[5];\\nry(0.556) q[6];\\nry(0.5144) q[8];\\ncry(0.402) q[8], q[7];\\ncry(0.3605) q[6], q[5];\\ncry(1.5486) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\","}}]
["df62b430c122c4297c9377287854fb07","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 4}]}","{\"states\": [13, 15], \"expectation_value\": -2.143931976438027, \"params\": null, \"bitstrings\": [\"10010\", \"10000\"], \"total_optimization_steps\": 18, \"probabilities\": [0.4479563463367854, 0.4479989981580356], \"optimization_time\": 9.610477924346924}","-0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2)",1,5,4,"{\"smallest_eigenvalues\": [-2.25, -2.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.25, \"smallest_bitstrings\": [\"10010\", \"10000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\ncry(1.5481) q[2], q[1];\ncry(-1.3016) q[4], q[0];\nry(1.0708) q[4];\nry(-0.6818) q[0];\ncry(0.39) q[1], q[4];\ncry(-0.1878) q[1], q[0];\ncry(0.089) q[1], q[2];\ncry(0.087) q[2], q[4];\ncry(-0.0399) q[2], q[0];\nry(0.0223) q[1];\ncry(0.0183) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"source\": 0, \"sink\": 4}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\ncry(-0.0399) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\ncry(-0.0399) q[2], q[0];\\nry(0.0223) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\ncry(-0.0399) q[2], q[0];\\nry(0.0223) q[1];\\ncry(0.0183) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\ncry(-0.0399) q[2], q[0];\\nry(0.0223) q[1];\\ncry(0.0183) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\ncry(-0.0399) q[2], q[0];\\nry(0.0223) q[1];\\ncry(0.0183) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\ncry(-0.0399) q[2], q[0];\\nry(0.0223) q[1];\\ncry(0.0183) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\ncry(-0.0399) q[2], q[0];\\nry(0.0223) q[1];\\ncry(0.0183) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\ncry(-0.0399) q[2], q[0];\\nry(0.0223) q[1];\\ncry(0.0183) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.4449) q[2];\\ncry(1.5481) q[2], q[1];\\ncry(-1.3016) q[4], q[0];\\nry(1.0708) q[4];\\nry(-0.6818) q[0];\\ncry(0.39) q[1], q[4];\\ncry(-0.1878) q[1], q[0];\\ncry(0.089) q[1], q[2];\\ncry(0.087) q[2], q[4];\\ncry(-0.0399) q[2], q[0];\\nry(0.0223) q[1];\\ncry(0.0183) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.5012, 0.7497, 0.3759, 0.4994, 0.4212, 0.2629, 0.1337, 0.0864, 0.0598, 0.0295, 0.0187, 0.0083, 0.0043, 0.0037, 0.0036, 0.0036, 0.0033, 0.0026]}"]
["5144181ac27497fdfa9bdb5b8b799630","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}]}","{\"states\": [1, 6], \"expectation_value\": -0.0958138558304596, \"params\": [[-0.0375, -0.0412, -0.0455, -0.0434], [0.0506, 0.044500000000000005, 0.051800000000000006, 0.051800000000000006]], \"bitstrings\": [\"110\", \"001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.1393476231651742, 0.14919449338632151], \"optimization_time\": 1.4649450778961182}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1)",1,3,4,"{\"smallest_eigenvalues\": [-1.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.5, \"smallest_bitstrings\": [\"001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[2], q[0];\nrz(-0.0375) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0375) q[1];\ncx q[2], q[1];\nrz(0.0375) q[2];\nrz(0) q[0];\nrz(0) q[1];\nh q[0];\nrz(0.1012) q[0];\nh q[0];\nh q[1];\nrz(0.1012) q[1];\nh q[1];\nh q[2];\nrz(0.1012) q[2];\nh q[2];\ncx q[2], q[0];\nrz(-0.0412) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0412) q[1];\ncx q[2], q[1];\nrz(0.0412) q[2];\nrz(0) q[0];\nrz(0) q[1];\nh q[0];\nrz(0.089) q[0];\nh q[0];\nh q[1];\nrz(0.089) q[1];\nh q[1];\nh q[2];\nrz(0.089) q[2];\nh q[2];\ncx q[2], q[0];\nrz(-0.0455) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0455) q[1];\ncx q[2], q[1];\nrz(0.0455) q[2];\nrz(0) q[0];\nrz(0) q[1];\nh q[0];\nrz(0.1036) q[0];\nh q[0];\nh q[1];\nrz(0.1036) q[1];\nh q[1];\nh q[2];\nrz(0.1036) q[2];\nh q[2];\ncx q[2], q[0];\nrz(-0.0434) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0434) q[1];\ncx q[2], q[1];\nrz(0.0434) q[2];\nrz(0) q[0];\nrz(0) q[1];\nh q[0];\nrz(0.1036) q[0];\nh q[0];\nh q[1];\nrz(0.1036) q[1];\nh q[1];\nh q[2];\nrz(0.1036) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x2) q[1];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\ncx q[2], q[0];\nrz(x4) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x4) q[1];\ncx q[2], q[1];\nrz(x5) q[2];\nrz(x2) q[0];\nrz(x2) q[1];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\ncx q[2], q[0];\nrz(x7) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x7) q[1];\ncx q[2], q[1];\nrz(x8) q[2];\nrz(x2) q[0];\nrz(x2) q[1];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\ncx q[2], q[0];\nrz(x10) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x10) q[1];\ncx q[2], q[1];\nrz(x11) q[2];\nrz(x2) q[0];\nrz(x2) q[1];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];",null,"{\"circuits\": [], \"gradients\": []}"]
["655689708e73cb2de5fff319b9c5049e","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}]}","{\"states\": [50, 58], \"expectation_value\": -2.837534141699318, \"params\": [0.0884, 0.1048, 0.0944, 0.1041, 0.0709, 0.1439, 0.062400000000000004, 0.139, 0.3049, 0.0031000000000000003, 0.2968, 0.007200000000000001, 0.305, -0.0023, 0.30720000000000003, -0.0027, 0.29300000000000004, -0.002, 0.2988, 0.0002, -0.0009000000000000001, -0.139, -0.0081, -0.1426, 0.2984, 0.0005, 0.2984, -0.0143, 0.0674, -0.1331, 0.06330000000000001, -0.1371, 0.09050000000000001, 0.10400000000000001, 0.0907, 0.1037, 0.0626, 0.14170000000000002, 0.0668, 0.1385, 0.30110000000000003, 0.0076, 0.29710000000000003, 0.0193, 0.303, -0.0013000000000000002, 0.3053, -0.0026000000000000003, 0.2963, -0.0007, 0.2979, -0.0, -0.007, -0.13820000000000002, -0.0055000000000000005, -0.1431, 0.3012, -0.010100000000000001, 0.29810000000000003, -0.033800000000000004, 0.0684, -0.1346, 0.067, -0.1374, 0.0882, 0.1037, 0.0951, 0.0014, 0.0618, 0.1403, 0.0679, 0.0037, 0.29600000000000004, 0.0089, 0.2959, 0.0099, 0.3064, -0.0027, 0.30870000000000003, 0.0057, 0.2979, 0.0001, 0.299, 0.0098, -0.0047, -0.1409, -0.0046, 0.008, 0.2967, -0.0077, 0.3033, 0.0031000000000000003, 0.0668, -0.1356, 0.0665, 0.0064, -0.1303, 0.0094, 0.0005, -0.0034000000000000002, 0.1489, -0.040600000000000004, 0.1432, 0.0097, -0.1318, 0.0492, 0.0033, -0.0012000000000000001, 0.1456, -0.094, 0.1297, 0.0061, -0.1262, 0.0055000000000000005, 0.0015, 0.0067, 0.1356, 0.0012000000000000001, 0.032, 0.0014], \"bitstrings\": [\"11001101\", \"11000101\"], \"total_optimization_steps\": 30, \"probabilities\": [0.08022848615744663, 0.12304439375735754], \"optimization_time\": 43.02370619773865}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + 0.0 * Z(6) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -1.0 * Z(7) + 0.0 * Z(3)",7,8,3,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"11000101\", \"11001100\", \"10001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0884) q[0];\nrz(0.1048) q[0];\nrx(0.0709) q[1];\nrz(0.1439) q[1];\nrx(0.3049) q[2];\nrz(0.0031) q[2];\nrx(0.305) q[3];\nrz(-0.0023) q[3];\nrx(0.293) q[4];\nrz(-0.002) q[4];\nrx(-0.0009) q[5];\nrz(-0.139) q[5];\nrx(0.2984) q[6];\nrz(0.0005) q[6];\nrx(0.0674) q[7];\nrz(-0.1331) q[7];\ncrz(-0.1303) q[1], q[0];\ncrz(0.0005) q[3], q[2];\ncrz(0.1489) q[5], q[4];\ncrz(0.1432) q[7], q[6];\nrx(0.0944) q[0];\nrz(0.1041) q[0];\nrx(0.0624) q[1];\nrz(0.139) q[1];\nrx(0.2968) q[2];\nrz(0.0072) q[2];\nrx(0.3072) q[3];\nrz(-0.0027) q[3];\nrx(0.2988) q[4];\nrz(0.0002) q[4];\nrx(-0.0081) q[5];\nrz(-0.1426) q[5];\nrx(0.2984) q[6];\nrz(-0.0143) q[6];\nrx(0.0633) q[7];\nrz(-0.1371) q[7];\ncrz(0.0094) q[2], q[1];\ncrz(-0.0034) q[4], q[3];\ncrz(-0.0406) q[6], q[5];\nrx(0.0905) q[0];\nrz(0.104) q[0];\nrx(0.0626) q[1];\nrz(0.1417) q[1];\nrx(0.3011) q[2];\nrz(0.0076) q[2];\nrx(0.303) q[3];\nrz(-0.0013) q[3];\nrx(0.2963) q[4];\nrz(-0.0007) q[4];\nrx(-0.007) q[5];\nrz(-0.1382) q[5];\nrx(0.3012) q[6];\nrz(-0.0101) q[6];\nrx(0.0684) q[7];\nrz(-0.1346) q[7];\ncrz(-0.1318) q[1], q[0];\ncrz(0.0033) q[3], q[2];\ncrz(0.1456) q[5], q[4];\ncrz(0.1297) q[7], q[6];\nrx(0.0907) q[0];\nrz(0.1037) q[0];\nrx(0.0668) q[1];\nrz(0.1385) q[1];\nrx(0.2971) q[2];\nrz(0.0193) q[2];\nrx(0.3053) q[3];\nrz(-0.0026) q[3];\nrx(0.2979) q[4];\nrz(0) q[4];\nrx(-0.0055) q[5];\nrz(-0.1431) q[5];\nrx(0.2981) q[6];\nrz(-0.0338) q[6];\nrx(0.067) q[7];\nrz(-0.1374) q[7];\ncrz(0.0492) q[2], q[1];\ncrz(-0.0012) q[4], q[3];\ncrz(-0.094) q[6], q[5];\nrx(0.0882) q[0];\nrz(0.1037) q[0];\nrx(0.0618) q[1];\nrz(0.1403) q[1];\nrx(0.296) q[2];\nrz(0.0089) q[2];\nrx(0.3064) q[3];\nrz(-0.0027) q[3];\nrx(0.2979) q[4];\nrz(0.0001) q[4];\nrx(-0.0047) q[5];\nrz(-0.1409) q[5];\nrx(0.2967) q[6];\nrz(-0.0077) q[6];\nrx(0.0668) q[7];\nrz(-0.1356) q[7];\ncrz(-0.1262) q[1], q[0];\ncrz(0.0015) q[3], q[2];\ncrz(0.1356) q[5], q[4];\ncrz(0.032) q[7], q[6];\nrx(0.0951) q[0];\nrz(0.0014) q[0];\nrx(0.0679) q[1];\nrz(0.0037) q[1];\nrx(0.2959) q[2];\nrz(0.0099) q[2];\nrx(0.3087) q[3];\nrz(0.0057) q[3];\nrx(0.299) q[4];\nrz(0.0098) q[4];\nrx(-0.0046) q[5];\nrz(0.008) q[5];\nrx(0.3033) q[6];\nrz(0.0031) q[6];\nrx(0.0665) q[7];\nrz(0.0064) q[7];\ncrz(0.0055) q[2], q[1];\ncrz(0.0067) q[4], q[3];\ncrz(0.0012) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[1], q[0];\ncrz(x13) q[3], q[2];\ncrz(x17) q[5], q[4];\ncrz(x18) q[7], q[6];\nrx(x19) q[0];\nrz(x20) q[0];\nrx(x21) q[1];\nrz(x22) q[1];\nrx(x23) q[2];\nrz(x24) q[2];\nrx(x25) q[3];\nrz(x26) q[3];\nrx(x27) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x30) q[5];\nrx(x12) q[6];\nrz(x31) q[6];\nrx(x32) q[7];\nrz(x33) q[7];\ncrz(x34) q[2], q[1];\ncrz(x35) q[4], q[3];\ncrz(x36) q[6], q[5];\nrx(x37) q[0];\nrz(x38) q[0];\nrx(x39) q[1];\nrz(x40) q[1];\nrx(x41) q[2];\nrz(x42) q[2];\nrx(x43) q[3];\nrz(x44) q[3];\nrx(x45) q[4];\nrz(x46) q[4];\nrx(x47) q[5];\nrz(x48) q[5];\nrx(x49) q[6];\nrz(x50) q[6];\nrx(x51) q[7];\nrz(x52) q[7];\ncrz(x53) q[1], q[0];\ncrz(x54) q[3], q[2];\ncrz(x55) q[5], q[4];\ncrz(x56) q[7], q[6];\nrx(x57) q[0];\nrz(x58) q[0];\nrx(x59) q[1];\nrz(x60) q[1];\nrx(x61) q[2];\nrz(x62) q[2];\nrx(x63) q[3];\nrz(x64) q[3];\nrx(x65) q[4];\nrz(x66) q[4];\nrx(x67) q[5];\nrz(x68) q[5];\nrx(x69) q[6];\nrz(x70) q[6];\nrx(x71) q[7];\nrz(x72) q[7];\ncrz(x73) q[2], q[1];\ncrz(x74) q[4], q[3];\ncrz(x75) q[6], q[5];\nrx(x76) q[0];\nrz(x58) q[0];\nrx(x77) q[1];\nrz(x78) q[1];\nrx(x79) q[2];\nrz(x80) q[2];\nrx(x81) q[3];\nrz(x26) q[3];\nrx(x65) q[4];\nrz(x82) q[4];\nrx(x83) q[5];\nrz(x84) q[5];\nrx(x85) q[6];\nrz(x86) q[6];\nrx(x59) q[7];\nrz(x87) q[7];\ncrz(x88) q[1], q[0];\ncrz(x89) q[3], q[2];\ncrz(x90) q[5], q[4];\ncrz(x91) q[7], q[6];\nrx(x92) q[0];\nrz(x93) q[0];\nrx(x94) q[1];\nrz(x95) q[1];\nrx(x96) q[2];\nrz(x97) q[2];\nrx(x98) q[3];\nrz(x99) q[3];\nrx(x100) q[4];\nrz(x101) q[4];\nrx(x102) q[5];\nrz(x103) q[5];\nrx(x104) q[6];\nrz(x5) q[6];\nrx(x105) q[7];\nrz(x106) q[7];\ncrz(x107) q[2], q[1];\ncrz(x108) q[4], q[3];\ncrz(x109) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["e5362bdf5e727045ae0e3b514af6e6e2","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 5, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 1}, {\"capacity\": 5, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 1}]}","{\"states\": [44, 29], \"expectation_value\": -9.606446295553518, \"params\": null, \"bitstrings\": [\"010011\", \"100010\"], \"total_optimization_steps\": 43, \"probabilities\": [0.10828730374394173, 0.8327087190411567], \"optimization_time\": 30.49723792076111}","-0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3)",1,6,4,"{\"smallest_eigenvalues\": [-10.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.5, \"smallest_bitstrings\": [\"100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nry(1.5708) q[3];\ncry(-1.5708) q[5], q[0];\nry(1.1112) q[5];\ncry(-0.5795) q[3], q[0];\ncry(1.5705) q[5], q[1];\ncry(0.266) q[1], q[5];\ncry(1.4945) q[3], q[2];\ncry(-0.0917) q[1], q[0];\ncry(-0.0613) q[3], q[1];\ncry(-0.3668) q[0], q[1];\ncry(0.0214) q[3], q[5];\nry(0.0737) q[2];\nry(0.0091) q[0];\ncry(-0.002) q[2], q[5];\nry(0.0088) q[1];\ncry(-0.0143) q[0], q[5];\ncry(0.0039) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":24466,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\ncry(-1.5708) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\ncry(-1.5708) q[5], q[0];\\nry(1.1112) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\ncry(-1.5708) q[5], q[0];\\nry(1.1112) q[5];\\ncry(-0.5795) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\ncry(-1.5708) q[5], q[0];\\nry(1.1112) q[5];\\ncry(-0.5795) q[3], q[0];\\ncry(1.5705) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\ncry(-1.5708) q[5], q[0];\\nry(1.1112) q[5];\\ncry(-0.5795) q[3], q[0];\\ncry(1.5705) q[5], q[1];\\ncry(0.266) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\ncry(-1.5708) q[5], q[0];\\nry(1.1112) q[5];\\ncry(-0.5795) q[3], q[0];\\ncry(1.5705) q[5], q[1];\\ncry(0.266) q[1], q[5];\\ncry(1.4945) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\ncry(-1.5708) q[5], q[0];\\nry(1.1112) q[5];\\ncry(-0.5795) q[3], q[0];\\ncry(1.5705) q[5], q[1];\\ncry(0.266) q[1], q[5];\\ncry(1.4945) q[3], q[2];\\ncry(-0.0917) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\ncry(-1.5708) q[5], q[0];\\nry(1.1112) q[5];\\ncry(-0.5795) q[3], q[0];\\ncry(1.5705) q[5], q[1];\\ncry(0.266) q[1], q[5];\\ncry(1.4945) q[3], q[2];\\ncry(-0.0917) q[1], q[0];\\ncry(-0.0613) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(1.5708) q[3];\\ncry(-1.5708) q[5], q[0];\\nry(1.1112) q[5];\\ncry(-0.5795) q[3], q[0];\\ncry(1.5705) q[5], q[1];\\ncry(0.266) q[1], q[5];\\ncry(1.4945) q[3], q[2];\\ncry("}}]
["339c7fe0000b9f3d24083d98998c20d8","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 3}, {\"capacity\": 7, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 5, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 6, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}]}","{\"states\": [1, 17], \"expectation_value\": -5.179663414564005, \"params\": [[-0.052700000000000004, -0.0585, -0.0565, -0.0558], [0.060700000000000004, 0.0679, 0.07060000000000001, 0.0737]], \"bitstrings\": [\"111110\", \"101110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.04979975992676748, 0.07439730797602653], \"optimization_time\": 4.662025451660156}","-1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2)",1,6,4,"{\"smallest_eigenvalues\": [-19.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -17.25, \"smallest_bitstrings\": [\"101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[0];\nrz(0.1581) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.2372) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.1845) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.3689) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(0.1318) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(0.0527) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(0.0527) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.1054) q[2];\ncx q[4], q[2];\nrz(0.1318) q[3];\nrz(0.0264) q[0];\nrz(0.2898) q[4];\nrz(-0.3162) q[5];\nrz(-0.1845) q[1];\nrz(0.0527) q[2];\nh q[0];\nrz(0.1214) q[0];\nh q[0];\nh q[1];\nrz(0.1214) q[1];\nh q[1];\nh q[2];\nrz(0.1214) q[2];\nh q[2];\nh q[3];\nrz(0.1214) q[3];\nh q[3];\nh q[4];\nrz(0.1214) q[4];\nh q[4];\nh q[5];\nrz(0.1214) q[5];\nh q[5];\ncx q[3], q[0];\nrz(0.1755) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.2633) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.2048) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.4095) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(0.1463) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(0.0585) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(0.0585) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.117) q[2];\ncx q[4], q[2];\nrz(0.1463) q[3];\nrz(0.0293) q[0];\nrz(0.3218) q[4];\nrz(-0.351) q[5];\nrz(-0.2048) q[1];\nrz(0.0585) q[2];\nh q[0];\nrz(0.1358) q[0];\nh q[0];\nh q[1];\nrz(0.1358) q[1];\nh q[1];\nh q[2];\nrz(0.1358) q[2];\nh q[2];\nh q[3];\nrz(0.1358) q[3];\nh q[3];\nh q[4];\nrz(0.1358) q[4];\nh q[4];\nh q[5];\nrz(0.1358) q[5];\nh q[5];\ncx q[3], q[0];\nrz(0.1695) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.2543) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.1978) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.3955) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(0.1413) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(0.0565) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(0.0565) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.113) q[2];\ncx q[4], q[2];\nrz(0.1413) q[3];\nrz(0.0283) q[0];\nrz(0.3108) q[4];\nrz(-0.339) q[5];\nrz(-0.1978) q[1];\nrz(0.0565) q[2];\nh q[0];\nrz(0.1412) q[0];\nh q[0];\nh q[1];\nrz(0.1412) q[1];\nh q[1];\nh q[2];\nrz(0.1412) q[2];\nh q[2];\nh q[3];\nrz(0.1412) q[3];\nh q[3];\nh q[4];\nrz(0.1412) q[4];\nh q[4];\nh q[5];\nrz(0.1412) q[5];\nh q[5];\ncx q[3], q[0];\nrz(0.1674) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.2511) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.1953) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.3906) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(0.1395) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(0.0558) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(0.0558) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.1116) q[2];\ncx q[4], q[2];\nrz(0.1395) q[3];\nrz(0.0279) q[0];\nrz(0.3069) q[4];\nrz(-0.3348) q[5];\nrz(-0.1953) q[1];\nrz(0.0558) q[2];\nh q[0];\nrz(0.1474) q[0];\nh q[0];\nh q[1];\nrz(0.1474) q[1];\nh q[1];\nh q[2];\nrz(0.1474) q[2];\nh q[2];\nh q[3];\nrz(0.1474) q[3];\nh q[3];\nh q[4];\nrz(0.1474) q[4];\nh q[4];\nh q[5];\nrz(0.1474) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x4) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x5) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(x5) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\nrz(x4) q[3];\nrz(x7) q[0];\nrz(x8) q[4];\nrz(x9) q[5];\nrz(x10) q[1];\nrz(x5) q[2];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\ncx q[3], q[0];\nrz(x12) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x13) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x14) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x15) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x16) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x17) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(x17) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x18) q[2];\ncx q[4], q[2];\nrz(x16) q[3];\nrz(x19) q[0];\nrz(x20) q[4];\nrz(x21) q[5];\nrz(x22) q[1];\nrz(x17) q[2];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\ncx q[3], q[0];\nrz(x24) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x25) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x26) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x27) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x28) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x29) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(x29) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x30) q[2];\ncx q[4], q[2];\nrz(x28) q[3];\nrz(x31) q[0];\nrz(x32) q[4];\nrz(x33) q[5];\nrz(x34) q[1];\nrz(x29) q[2];\nh q[0];\nrz(x35) q[0];\nh q[0];\nh q[1];\nrz(x35) q[1];\nh q[1];\nh q[2];\nrz(x35) q[2];\nh q[2];\nh q[3];\nrz(x35) q[3];\nh q[3];\nh q[4];\nrz(x35) q[4];\nh q[4];\nh q[5];\nrz(x35) q[5];\nh q[5];\ncx q[3], q[0];\nrz(x36) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x37) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x38) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x39) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x40) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x41) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(x41) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x42) q[2];\ncx q[4], q[2];\nrz(x40) q[3];\nrz(x43) q[0];\nrz(x44) q[4];\nrz(x45) q[5];\nrz(x46) q[1];\nrz(x41) q[2];\nh q[0];\nrz(x47) q[0];\nh q[0];\nh q[1];\nrz(x47) q[1];\nh q[1];\nh q[2];\nrz(x47) q[2];\nh q[2];\nh q[3];\nrz(x47) q[3];\nh q[3];\nh q[4];\nrz(x47) q[4];\nh q[4];\nh q[5];\nrz(x47) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["e4f5057259aaeddd1dd7f4f1ea49da8b","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 6, \"target\": 4}]}","{\"states\": [0, 1], \"expectation_value\": -12.813451799785607, \"params\": [0.0031000000000000003, 0.2921, 0.3138, 0.056, 0.0038, 0.2922, 0.0037, 0.3047, 0.0036000000000000003, -0.24450000000000002, 0.0036000000000000003, 0.2933, 0.0025, 0.317, 0.4083, 0.005, 0.0019, 0.2942, 0.31820000000000004, 0.0886, -0.0006000000000000001, 0.31770000000000004, 0.0029000000000000002, 0.3106, 0.0001, -0.2427, 0.0001, 0.2795, 0.0036000000000000003, 0.3115, 0.4026, 0.0079, 0.005200000000000001, 0.30060000000000003, 0.3113, 0.139, 0.005, 0.3155, 0.0025, 0.3113, 0.006900000000000001, -0.20450000000000002, 0.0038, 0.2911, 0.004, 0.31070000000000003, 0.4047, 0.005200000000000001, 0.0021000000000000003, 0.008700000000000001, 0.31420000000000003, 0.004, 0.0017000000000000001, 0.0081, 0.0036000000000000003, 0.0021000000000000003, 0.0013000000000000002, 0.0088, 0.0023, 0.0012000000000000001, 0.0023, 0.0018000000000000002, 0.4002, 0.009000000000000001, 0.201, -0.28200000000000003, -0.2944, 0.2544, -0.2857, -0.3037, 0.0013000000000000002, 0.23340000000000002, -0.3054, -0.2949, 0.2538, -0.2712, -0.2979, 0.006900000000000001, 0.2461, -0.29910000000000003, -0.303, 0.21300000000000002, -0.2842, -0.29660000000000003, 0.0016, 0.0033, 0.001, 0.0048000000000000004, 0.0082, 0.003, 0.0015, 0.0033], \"bitstrings\": [\"11111111\", \"11111110\"], \"total_optimization_steps\": 40, \"probabilities\": [0.31243338175844704, 0.341840556981152], \"optimization_time\": 35.37939190864563}","-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25 * Z(6) + 0.75 * Z(1) + -0.5 * Z(2) + 3.5 * Z(7)",3,8,4,"{\"smallest_eigenvalues\": [-19.5, -19.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -17.5, \"smallest_bitstrings\": [\"11111110\", \"10111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0031) q[0];\nrz(0.2921) q[0];\nrx(0.3138) q[1];\nrz(0.056) q[1];\nrx(0.0038) q[2];\nrz(0.2922) q[2];\nrx(0.0037) q[3];\nrz(0.3047) q[3];\nrx(0.0036) q[4];\nrz(-0.2445) q[4];\nrx(0.0036) q[5];\nrz(0.2933) q[5];\nrx(0.0025) q[6];\nrz(0.317) q[6];\nrx(0.4083) q[7];\nrz(0.005) q[7];\ncrz(0.0013) q[7], q[6];\ncrz(-0.3037) q[6], q[5];\ncrz(-0.2857) q[5], q[4];\ncrz(0.2544) q[4], q[3];\ncrz(-0.2944) q[3], q[2];\ncrz(-0.282) q[2], q[1];\ncrz(0.201) q[1], q[0];\nrx(0.0019) q[0];\nrz(0.2942) q[0];\nrx(0.3182) q[1];\nrz(0.0886) q[1];\nrx(-0.0006) q[2];\nrz(0.3177) q[2];\nrx(0.0029) q[3];\nrz(0.3106) q[3];\nrx(0.0001) q[4];\nrz(-0.2427) q[4];\nrx(0.0001) q[5];\nrz(0.2795) q[5];\nrx(0.0036) q[6];\nrz(0.3115) q[6];\nrx(0.4026) q[7];\nrz(0.0079) q[7];\ncrz(0.0069) q[7], q[6];\ncrz(-0.2979) q[6], q[5];\ncrz(-0.2712) q[5], q[4];\ncrz(0.2538) q[4], q[3];\ncrz(-0.2949) q[3], q[2];\ncrz(-0.3054) q[2], q[1];\ncrz(0.2334) q[1], q[0];\nrx(0.0052) q[0];\nrz(0.3006) q[0];\nrx(0.3113) q[1];\nrz(0.139) q[1];\nrx(0.005) q[2];\nrz(0.3155) q[2];\nrx(0.0025) q[3];\nrz(0.3113) q[3];\nrx(0.0069) q[4];\nrz(-0.2045) q[4];\nrx(0.0038) q[5];\nrz(0.2911) q[5];\nrx(0.004) q[6];\nrz(0.3107) q[6];\nrx(0.4047) q[7];\nrz(0.0052) q[7];\ncrz(0.0016) q[7], q[6];\ncrz(-0.2966) q[6], q[5];\ncrz(-0.2842) q[5], q[4];\ncrz(0.213) q[4], q[3];\ncrz(-0.303) q[3], q[2];\ncrz(-0.2991) q[2], q[1];\ncrz(0.2461) q[1], q[0];\nrx(0.0021) q[0];\nrz(0.0087) q[0];\nrx(0.3142) q[1];\nrz(0.004) q[1];\nrx(0.0017) q[2];\nrz(0.0081) q[2];\nrx(0.0036) q[3];\nrz(0.0021) q[3];\nrx(0.0013) q[4];\nrz(0.0088) q[4];\nrx(0.0023) q[5];\nrz(0.0012) q[5];\nrx(0.0023) q[6];\nrz(0.0018) q[6];\nrx(0.4002) q[7];\nrz(0.009) q[7];\ncrz(0.0033) q[7], q[6];\ncrz(0.0015) q[6], q[5];\ncrz(0.003) q[5], q[4];\ncrz(0.0082) q[4], q[3];\ncrz(0.0048) q[3], q[2];\ncrz(0.001) q[2], q[1];\ncrz(0.0033) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x8) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\ncrz(x15) q[7], q[6];\ncrz(x16) q[6], q[5];\ncrz(x17) q[5], q[4];\ncrz(x18) q[4], q[3];\ncrz(x19) q[3], q[2];\ncrz(x20) q[2], q[1];\ncrz(x21) q[1], q[0];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x30) q[5];\nrz(x32) q[5];\nrx(x8) q[6];\nrz(x33) q[6];\nrx(x34) q[7];\nrz(x35) q[7];\ncrz(x36) q[7], q[6];\ncrz(x37) q[6], q[5];\ncrz(x38) q[5], q[4];\ncrz(x39) q[4], q[3];\ncrz(x40) q[3], q[2];\ncrz(x41) q[2], q[1];\ncrz(x42) q[1], q[0];\nrx(x43) q[0];\nrz(x44) q[0];\nrx(x45) q[1];\nrz(x46) q[1];\nrx(x14) q[2];\nrz(x47) q[2];\nrx(x11) q[3];\nrz(x45) q[3];\nrx(x36) q[4];\nrz(x48) q[4];\nrx(x4) q[5];\nrz(x49) q[5];\nrx(x50) q[6];\nrz(x51) q[6];\nrx(x52) q[7];\nrz(x43) q[7];\ncrz(x53) q[7], q[6];\ncrz(x54) q[6], q[5];\ncrz(x55) q[5], q[4];\ncrz(x56) q[4], q[3];\ncrz(x57) q[3], q[2];\ncrz(x58) q[2], q[1];\ncrz(x59) q[1], q[0];\nrx(x60) q[0];\nrz(x61) q[0];\nrx(x62) q[1];\nrz(x50) q[1];\nrx(x63) q[2];\nrz(x64) q[2];\nrx(x8) q[3];\nrz(x60) q[3];\nrx(x15) q[4];\nrz(x65) q[4];\nrx(x66) q[5];\nrz(x67) q[5];\nrx(x66) q[6];\nrz(x68) q[6];\nrx(x69) q[7];\nrz(x70) q[7];\ncrz(x71) q[7], q[6];\ncrz(x72) q[6], q[5];\ncrz(x73) q[5], q[4];\ncrz(x74) q[4], q[3];\ncrz(x75) q[3], q[2];\ncrz(x76) q[2], q[1];\ncrz(x71) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["1dcb3c744ddd55658248ce3c7196418c","graph_isomorphism","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}]}","{\"states\": [32190, 31710], \"expectation_value\": -10.100470559564618, \"params\": [[-0.08070000000000001, -0.0781, -0.081], [0.0775, 0.0727, 0.0728]], \"bitstrings\": [\"1000001001000001\", \"1000010000100001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00020669105634378581, 0.00020669152496125706], \"optimization_time\": 36.45533037185669}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.25 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(5)) + 0.25 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(0)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(0)) + 0.5 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(5)) + 0.5 * (Z(14) @ Z(6)) + 0.25 * (Z(14) @ Z(9)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.25 * (Z(15) @ Z(1)) + 0.25 * (Z(15) @ Z(2)) + 0.5 * (Z(15) @ Z(3)) + 0.25 * (Z(15) @ Z(4)) + 0.5 * (Z(15) @ Z(7)) + 0.25 * (Z(15) @ Z(8)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(12)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(15) @ Z(14)) + 2.75 * Z(1) + 3.0 * Z(0) + 2.25 * Z(2) + 2.0 * Z(3) + 2.75 * Z(4) + 2.5 * Z(5) + 2.5 * Z(6) + 2.25 * Z(7) + 2.25 * Z(8) + 2.5 * Z(9) + 2.5 * Z(10) + 2.75 * Z(11) + 2.0 * Z(12) + 2.25 * Z(13) + 2.75 * Z(14) + 3.0 * Z(15)",1,16,3,"{\"smallest_eigenvalues\": [-19.99999999999997], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.999999999999932, \"smallest_bitstrings\": [\"1000010000100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(-0.0807) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0807) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0807) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0807) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0807) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0807) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.0807) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0807) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0807) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.0404) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.0807) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0807) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0807) q[6];\ncx q[5], q[6];\ncx q[0], q[7];\nrz(-0.0404) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(-0.0807) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0807) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.0807) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0807) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(-0.0807) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(-0.0807) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(-0.0807) q[9];\ncx q[1], q[9];\ncx q[4], q[9];\nrz(-0.0404) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(-0.0807) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(-0.0807) q[9];\ncx q[8], q[9];\ncx q[1], q[10];\nrz(-0.0404) q[10];\ncx q[1], q[10];\ncx q[2], q[10];\nrz(-0.0807) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(-0.0404) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(-0.0807) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(-0.0807) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(-0.0807) q[10];\ncx q[9], q[10];\ncx q[0], q[11];\nrz(-0.0404) q[11];\ncx q[0], q[11];\ncx q[3], q[11];\nrz(-0.0807) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(-0.0404) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(-0.0404) q[11];\ncx q[6], q[11];\ncx q[7], q[11];\nrz(-0.0807) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(-0.0807) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(-0.0807) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.0807) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(-0.0807) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(-0.0807) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(-0.0807) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(-0.0807) q[13];\ncx q[1], q[13];\ncx q[0], q[13];\nrz(-0.0404) q[13];\ncx q[0], q[13];\ncx q[5], q[13];\nrz(-0.0807) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(-0.0807) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(-0.0807) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(-0.0404) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(-0.0807) q[14];\ncx q[2], q[14];\ncx q[5], q[14];\nrz(-0.0404) q[14];\ncx q[5], q[14];\ncx q[6], q[14];\nrz(-0.0807) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(-0.0404) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(-0.0807) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(-0.0807) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(-0.0807) q[14];\ncx q[13], q[14];\ncx q[1], q[15];\nrz(-0.0404) q[15];\ncx q[1], q[15];\ncx q[2], q[15];\nrz(-0.0404) q[15];\ncx q[2], q[15];\ncx q[3], q[15];\nrz(-0.0807) q[15];\ncx q[3], q[15];\ncx q[4], q[15];\nrz(-0.0404) q[15];\ncx q[4], q[15];\ncx q[7], q[15];\nrz(-0.0807) q[15];\ncx q[7], q[15];\ncx q[8], q[15];\nrz(-0.0404) q[15];\ncx q[8], q[15];\ncx q[11], q[15];\nrz(-0.0807) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(-0.0807) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(-0.0807) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(-0.0807) q[15];\ncx q[14], q[15];\nrz(-0.4439) q[1];\nrz(-0.4842) q[0];\nrz(-0.3632) q[2];\nrz(-0.3228) q[3];\nrz(-0.4439) q[4];\nrz(-0.4035) q[5];\nrz(-0.4035) q[6];\nrz(-0.3632) q[7];\nrz(-0.3632) q[8];\nrz(-0.4035) q[9];\nrz(-0.4035) q[10];\nrz(-0.4439) q[11];\nrz(-0.3228) q[12];\nrz(-0.3632) q[13];\nrz(-0.4439) q[14];\nrz(-0.4842) q[15];\nh q[0];\nrz(0.155) q[0];\nh q[0];\nh q[1];\nrz(0.155) q[1];\nh q[1];\nh q[2];\nrz(0.155) q[2];\nh q[2];\nh q[3];\nrz(0.155) q[3];\nh q[3];\nh q[4];\nrz(0.155) q[4];\nh q[4];\nh q[5];\nrz(0.155) q[5];\nh q[5];\nh q[6];\nrz(0.155) q[6];\nh q[6];\nh q[7];\nrz(0.155) q[7];\nh q[7];\nh q[8];\nrz(0.155) q[8];\nh q[8];\nh q[9];\nrz(0.155) q[9];\nh q[9];\nh q[10];\nrz(0.155) q[10];\nh q[10];\nh q[11];\nrz(0.155) q[11];\nh q[11];\nh q[12];\nrz(0.155) q[12];\nh q[12];\nh q[13];\nrz(0.155) q[13];\nh q[13];\nh q[14];\nrz(0.155) q[14];\nh q[14];\nh q[15];\nrz(0.155) q[15];\nh q[15];\ncx q[1], q[0];\nrz(-0.0781) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0781) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0781) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0781) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0781) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0781) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.0781) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0781) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0781) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.0391) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.0781) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0781) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0781) q[6];\ncx q[5], q[6];\ncx q[0], q[7];\nrz(-0.0391) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(-0.0781) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0781) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.0781) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0781) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(-0.0781) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(-0.0781) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(-0.0781) q[9];\ncx q[1], q[9];\ncx q[4], q[9];\nrz(-0.0391) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(-0.0781) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(-0.0781) q[9];\ncx q[8], q[9];\ncx q[1], q[10];\nrz(-0.0391) q[10];\ncx q[1], q[10];\ncx q[2], q[10];\nrz(-0.0781) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(-0.0391) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(-0.0781) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(-0.0781) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(-0.0781) q[10];\ncx q[9], q[10];\ncx q[0], q[11];\nrz(-0.0391) q[11];\ncx q[0], q[11];\ncx q[3], q[11];\nrz(-0.0781) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(-0.0391) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(-0.0391) q[11];\ncx q[6], q[11];\ncx q[7], q[11];\nrz(-0.0781) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(-0.0781) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(-0.0781) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.0781) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(-0.0781) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(-0.0781) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(-0.0781) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(-0.0781) q[13];\ncx q[1], q[13];\ncx q[0], q[13];\nrz(-0.0391) q[13];\ncx q[0], q[13];\ncx q[5], q[13];\nrz(-0.0781) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(-0.0781) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(-0.0781) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(-0.0391) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(-0.0781) q[14];\ncx q[2], q[14];\ncx q[5], q[14];\nrz(-0.0391) q[14];\ncx q[5], q[14];\ncx q[6], q[14];\nrz(-0.0781) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(-0.0391) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(-0.0781) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(-0.0781) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(-0.0781) q[14];\ncx q[13], q[14];\ncx q[1], q[15];\nrz(-0.0391) q[15];\ncx q[1], q[15];\ncx q[2], q[15];\nrz(-0.0391) q[15];\ncx q[2], q[15];\ncx q[3], q[15];\nrz(-0.0781) q[15];\ncx q[3], q[15];\ncx q[4], q[15];\nrz(-0.0391) q[15];\ncx q[4], q[15];\ncx q[7], q[15];\nrz(-0.0781) q[15];\ncx q[7], q[15];\ncx q[8], q[15];\nrz(-0.0391) q[15];\ncx q[8], q[15];\ncx q[11], q[15];\nrz(-0.0781) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(-0.0781) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(-0.0781) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(-0.0781) q[15];\ncx q[14], q[15];\nrz(-0.4295) q[1];\nrz(-0.4686) q[0];\nrz(-0.3515) q[2];\nrz(-0.3124) q[3];\nrz(-0.4295) q[4];\nrz(-0.3905) q[5];\nrz(-0.3905) q[6];\nrz(-0.3515) q[7];\nrz(-0.3515) q[8];\nrz(-0.3905) q[9];\nrz(-0.3905) q[10];\nrz(-0.4295) q[11];\nrz(-0.3124) q[12];\nrz(-0.3515) q[13];\nrz(-0.4295) q[14];\nrz(-0.4686) q[15];\nh q[0];\nrz(0.1454) q[0];\nh q[0];\nh q[1];\nrz(0.1454) q[1];\nh q[1];\nh q[2];\nrz(0.1454) q[2];\nh q[2];\nh q[3];\nrz(0.1454) q[3];\nh q[3];\nh q[4];\nrz(0.1454) q[4];\nh q[4];\nh q[5];\nrz(0.1454) q[5];\nh q[5];\nh q[6];\nrz(0.1454) q[6];\nh q[6];\nh q[7];\nrz(0.1454) q[7];\nh q[7];\nh q[8];\nrz(0.1454) q[8];\nh q[8];\nh q[9];\nrz(0.1454) q[9];\nh q[9];\nh q[10];\nrz(0.1454) q[10];\nh q[10];\nh q[11];\nrz(0.1454) q[11];\nh q[11];\nh q[12];\nrz(0.1454) q[12];\nh q[12];\nh q[13];\nrz(0.1454) q[13];\nh q[13];\nh q[14];\nrz(0.1454) q[14];\nh q[14];\nh q[15];\nrz(0.1454) q[15];\nh q[15];\ncx q[1], q[0];\nrz(-0.081) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.081) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.081) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.081) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.081) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.081) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.081) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.081) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.081) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(-0.0405) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.081) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.081) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.081) q[6];\ncx q[5], q[6];\ncx q[0], q[7];\nrz(-0.0405) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(-0.081) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.081) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.081) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.081) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(-0.081) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(-0.081) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(-0.081) q[9];\ncx q[1], q[9];\ncx q[4], q[9];\nrz(-0.0405) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(-0.081) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(-0.081) q[9];\ncx q[8], q[9];\ncx q[1], q[10];\nrz(-0.0405) q[10];\ncx q[1], q[10];\ncx q[2], q[10];\nrz(-0.081) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(-0.0405) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(-0.081) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(-0.081) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(-0.081) q[10];\ncx q[9], q[10];\ncx q[0], q[11];\nrz(-0.0405) q[11];\ncx q[0], q[11];\ncx q[3], q[11];\nrz(-0.081) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(-0.0405) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(-0.0405) q[11];\ncx q[6], q[11];\ncx q[7], q[11];\nrz(-0.081) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(-0.081) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(-0.081) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.081) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(-0.081) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(-0.081) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(-0.081) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(-0.081) q[13];\ncx q[1], q[13];\ncx q[0], q[13];\nrz(-0.0405) q[13];\ncx q[0], q[13];\ncx q[5], q[13];\nrz(-0.081) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(-0.081) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(-0.081) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(-0.0405) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(-0.081) q[14];\ncx q[2], q[14];\ncx q[5], q[14];\nrz(-0.0405) q[14];\ncx q[5], q[14];\ncx q[6], q[14];\nrz(-0.081) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(-0.0405) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(-0.081) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(-0.081) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(-0.081) q[14];\ncx q[13], q[14];\ncx q[1], q[15];\nrz(-0.0405) q[15];\ncx q[1], q[15];\ncx q[2], q[15];\nrz(-0.0405) q[15];\ncx q[2], q[15];\ncx q[3], q[15];\nrz(-0.081) q[15];\ncx q[3], q[15];\ncx q[4], q[15];\nrz(-0.0405) q[15];\ncx q[4], q[15];\ncx q[7], q[15];\nrz(-0.081) q[15];\ncx q[7], q[15];\ncx q[8], q[15];\nrz(-0.0405) q[15];\ncx q[8], q[15];\ncx q[11], q[15];\nrz(-0.081) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(-0.081) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(-0.081) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(-0.081) q[15];\ncx q[14], q[15];\nrz(-0.4455) q[1];\nrz(-0.486) q[0];\nrz(-0.3645) q[2];\nrz(-0.324) q[3];\nrz(-0.4455) q[4];\nrz(-0.405) q[5];\nrz(-0.405) q[6];\nrz(-0.3645) q[7];\nrz(-0.3645) q[8];\nrz(-0.405) q[9];\nrz(-0.405) q[10];\nrz(-0.4455) q[11];\nrz(-0.324) q[12];\nrz(-0.3645) q[13];\nrz(-0.4455) q[14];\nrz(-0.486) q[15];\nh q[0];\nrz(0.1456) q[0];\nh q[0];\nh q[1];\nrz(0.1456) q[1];\nh q[1];\nh q[2];\nrz(0.1456) q[2];\nh q[2];\nh q[3];\nrz(0.1456) q[3];\nh q[3];\nh q[4];\nrz(0.1456) q[4];\nh q[4];\nh q[5];\nrz(0.1456) q[5];\nh q[5];\nh q[6];\nrz(0.1456) q[6];\nh q[6];\nh q[7];\nrz(0.1456) q[7];\nh q[7];\nh q[8];\nrz(0.1456) q[8];\nh q[8];\nh q[9];\nrz(0.1456) q[9];\nh q[9];\nh q[10];\nrz(0.1456) q[10];\nh q[10];\nh q[11];\nrz(0.1456) q[11];\nh q[11];\nh q[12];\nrz(0.1456) q[12];\nh q[12];\nh q[13];\nrz(0.1456) q[13];\nh q[13];\nh q[14];\nrz(0.1456) q[14];\nh q[14];\nh q[15];\nrz(0.1456) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x0) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(x0) q[9];\ncx q[1], q[9];\ncx q[4], q[9];\nrz(x1) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(x0) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(x0) q[9];\ncx q[8], q[9];\ncx q[1], q[10];\nrz(x1) q[10];\ncx q[1], q[10];\ncx q[2], q[10];\nrz(x0) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x1) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x0) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x0) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x0) q[10];\ncx q[9], q[10];\ncx q[0], q[11];\nrz(x1) q[11];\ncx q[0], q[11];\ncx q[3], q[11];\nrz(x0) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(x1) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(x1) q[11];\ncx q[6], q[11];\ncx q[7], q[11];\nrz(x0) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x0) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x0) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x0) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x0) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(x0) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(x0) q[13];\ncx q[1], q[13];\ncx q[0], q[13];\nrz(x1) q[13];\ncx q[0], q[13];\ncx q[5], q[13];\nrz(x0) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x0) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(x1) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(x0) q[14];\ncx q[2], q[14];\ncx q[5], q[14];\nrz(x1) q[14];\ncx q[5], q[14];\ncx q[6], q[14];\nrz(x0) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(x1) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x0) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x0) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x0) q[14];\ncx q[13], q[14];\ncx q[1], q[15];\nrz(x1) q[15];\ncx q[1], q[15];\ncx q[2], q[15];\nrz(x1) q[15];\ncx q[2], q[15];\ncx q[3], q[15];\nrz(x0) q[15];\ncx q[3], q[15];\ncx q[4], q[15];\nrz(x1) q[15];\ncx q[4], q[15];\ncx q[7], q[15];\nrz(x0) q[15];\ncx q[7], q[15];\ncx q[8], q[15];\nrz(x1) q[15];\ncx q[8], q[15];\ncx q[11], q[15];\nrz(x0) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(x0) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(x0) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x0) q[15];\ncx q[14], q[15];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x4) q[2];\nrz(x5) q[3];\nrz(x2) q[4];\nrz(x6) q[5];\nrz(x6) q[6];\nrz(x4) q[7];\nrz(x4) q[8];\nrz(x6) q[9];\nrz(x6) q[10];\nrz(x2) q[11];\nrz(x5) q[12];\nrz(x4) q[13];\nrz(x2) q[14];\nrz(x3) q[15];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nh q[8];\nrz(x7) q[8];\nh q[8];\nh q[9];\nrz(x7) q[9];\nh q[9];\nh q[10];\nrz(x7) q[10];\nh q[10];\nh q[11];\nrz(x7) q[11];\nh q[11];\nh q[12];\nrz(x7) q[12];\nh q[12];\nh q[13];\nrz(x7) q[13];\nh q[13];\nh q[14];\nrz(x7) q[14];\nh q[14];\nh q[15];\nrz(x7) q[15];\nh q[15];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x8) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x8) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x8) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x8) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x9) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x8) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x8) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x8) q[6];\ncx q[5], q[6];\ncx q[0], q[7];\nrz(x9) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(x8) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x8) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x8) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x8) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x8) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x8) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(x8) q[9];\ncx q[1], q[9];\ncx q[4], q[9];\nrz(x9) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(x8) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(x8) q[9];\ncx q[8], q[9];\ncx q[1], q[10];\nrz(x9) q[10];\ncx q[1], q[10];\ncx q[2], q[10];\nrz(x8) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x9) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x8) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x8) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x8) q[10];\ncx q[9], q[10];\ncx q[0], q[11];\nrz(x9) q[11];\ncx q[0], q[11];\ncx q[3], q[11];\nrz(x8) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(x9) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(x9) q[11];\ncx q[6], q[11];\ncx q[7], q[11];\nrz(x8) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x8) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x8) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x8) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x8) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x8) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(x8) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(x8) q[13];\ncx q[1], q[13];\ncx q[0], q[13];\nrz(x9) q[13];\ncx q[0], q[13];\ncx q[5], q[13];\nrz(x8) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x8) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(x8) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(x9) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(x8) q[14];\ncx q[2], q[14];\ncx q[5], q[14];\nrz(x9) q[14];\ncx q[5], q[14];\ncx q[6], q[14];\nrz(x8) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(x9) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x8) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x8) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x8) q[14];\ncx q[13], q[14];\ncx q[1], q[15];\nrz(x9) q[15];\ncx q[1], q[15];\ncx q[2], q[15];\nrz(x9) q[15];\ncx q[2], q[15];\ncx q[3], q[15];\nrz(x8) q[15];\ncx q[3], q[15];\ncx q[4], q[15];\nrz(x9) q[15];\ncx q[4], q[15];\ncx q[7], q[15];\nrz(x8) q[15];\ncx q[7], q[15];\ncx q[8], q[15];\nrz(x9) q[15];\ncx q[8], q[15];\ncx q[11], q[15];\nrz(x8) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(x8) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(x8) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x8) q[15];\ncx q[14], q[15];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[3];\nrz(x10) q[4];\nrz(x14) q[5];\nrz(x14) q[6];\nrz(x12) q[7];\nrz(x12) q[8];\nrz(x14) q[9];\nrz(x14) q[10];\nrz(x10) q[11];\nrz(x13) q[12];\nrz(x12) q[13];\nrz(x10) q[14];\nrz(x11) q[15];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\nh q[8];\nrz(x15) q[8];\nh q[8];\nh q[9];\nrz(x15) q[9];\nh q[9];\nh q[10];\nrz(x15) q[10];\nh q[10];\nh q[11];\nrz(x15) q[11];\nh q[11];\nh q[12];\nrz(x15) q[12];\nh q[12];\nh q[13];\nrz(x15) q[13];\nh q[13];\nh q[14];\nrz(x15) q[14];\nh q[14];\nh q[15];\nrz(x15) q[15];\nh q[15];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x16) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x16) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x16) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x16) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x16) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x16) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x16) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x17) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x16) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x16) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x16) q[6];\ncx q[5], q[6];\ncx q[0], q[7];\nrz(x17) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(x16) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x16) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x16) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x16) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x16) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x16) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(x16) q[9];\ncx q[1], q[9];\ncx q[4], q[9];\nrz(x17) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(x16) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(x16) q[9];\ncx q[8], q[9];\ncx q[1], q[10];\nrz(x17) q[10];\ncx q[1], q[10];\ncx q[2], q[10];\nrz(x16) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x17) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x16) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x16) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x16) q[10];\ncx q[9], q[10];\ncx q[0], q[11];\nrz(x17) q[11];\ncx q[0], q[11];\ncx q[3], q[11];\nrz(x16) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(x17) q[11];\ncx q[5], q[11];\ncx q[6], q[11];\nrz(x17) q[11];\ncx q[6], q[11];\ncx q[7], q[11];\nrz(x16) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x16) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x16) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x16) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x16) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x16) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(x16) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(x16) q[13];\ncx q[1], q[13];\ncx q[0], q[13];\nrz(x17) q[13];\ncx q[0], q[13];\ncx q[5], q[13];\nrz(x16) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x16) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(x16) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(x17) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(x16) q[14];\ncx q[2], q[14];\ncx q[5], q[14];\nrz(x17) q[14];\ncx q[5], q[14];\ncx q[6], q[14];\nrz(x16) q[14];\ncx q[6], q[14];\ncx q[9], q[14];\nrz(x17) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x16) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x16) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x16) q[14];\ncx q[13], q[14];\ncx q[1], q[15];\nrz(x17) q[15];\ncx q[1], q[15];\ncx q[2], q[15];\nrz(x17) q[15];\ncx q[2], q[15];\ncx q[3], q[15];\nrz(x16) q[15];\ncx q[3], q[15];\ncx q[4], q[15];\nrz(x17) q[15];\ncx q[4], q[15];\ncx q[7], q[15];\nrz(x16) q[15];\ncx q[7], q[15];\ncx q[8], q[15];\nrz(x17) q[15];\ncx q[8], q[15];\ncx q[11], q[15];\nrz(x16) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(x16) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(x16) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x16) q[15];\ncx q[14], q[15];\nrz(x18) q[1];\nrz(x19) q[0];\nrz(x20) q[2];\nrz(x21) q[3];\nrz(x18) q[4];\nrz(x22) q[5];\nrz(x22) q[6];\nrz(x20) q[7];\nrz(x20) q[8];\nrz(x22) q[9];\nrz(x22) q[10];\nrz(x18) q[11];\nrz(x21) q[12];\nrz(x20) q[13];\nrz(x18) q[14];\nrz(x19) q[15];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nh q[8];\nrz(x23) q[8];\nh q[8];\nh q[9];\nrz(x23) q[9];\nh q[9];\nh q[10];\nrz(x23) q[10];\nh q[10];\nh q[11];\nrz(x23) q[11];\nh q[11];\nh q[12];\nrz(x23) q[12];\nh q[12];\nh q[13];\nrz(x23) q[13];\nh q[13];\nh q[14];\nrz(x23) q[14];\nh q[14];\nh q[15];\nrz(x23) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}]}}","{\"circuits\": [], \"gradients\": []}"]
["ad2c8808e4e24f79d1ce4f9a8d64bbe1","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 6, \"target\": 1}]}","{\"states\": [128, 61], \"expectation_value\": -2.930107770108198, \"params\": [[-0.1612, -0.1632], [0.17070000000000002, 0.1711]], \"bitstrings\": [\"01111111\", \"11000010\"], \"total_optimization_steps\": 20, \"probabilities\": [0.02809897590473408, 0.03524142023847891], \"optimization_time\": 4.135708332061768}","-0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + 0.25 * Z(5) + -0.75 * Z(6) + -0.25 * Z(2) + 1.25 * Z(3) + 1.0 * Z(4)",1,8,2,"{\"smallest_eigenvalues\": [-8.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.0, \"smallest_bitstrings\": [\"11000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.1612) q[0];\ncx q[1], q[0];\ncx q[0], q[7];\nrz(-0.2418) q[7];\ncx q[0], q[7];\ncx q[1], q[5];\nrz(0.0806) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(0.1612) q[5];\ncx q[7], q[5];\ncx q[1], q[6];\nrz(0.1612) q[6];\ncx q[1], q[6];\ncx q[1], q[2];\nrz(0.1612) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(0.2418) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(0.0806) q[3];\ncx q[1], q[3];\ncx q[7], q[3];\nrz(0.0806) q[3];\ncx q[7], q[3];\ncx q[5], q[3];\nrz(0.0806) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(0.1612) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(0.1612) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(0.0806) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(0.1612) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(0.0806) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(0.1612) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.1612) q[4];\ncx q[3], q[4];\nrz(0.3224) q[1];\nrz(0.0806) q[0];\nrz(0.0806) q[7];\nrz(-0.0806) q[5];\nrz(0.2418) q[6];\nrz(0.0806) q[2];\nrz(-0.403) q[3];\nrz(-0.3224) q[4];\nh q[0];\nrz(0.3414) q[0];\nh q[0];\nh q[1];\nrz(0.3414) q[1];\nh q[1];\nh q[2];\nrz(0.3414) q[2];\nh q[2];\nh q[3];\nrz(0.3414) q[3];\nh q[3];\nh q[4];\nrz(0.3414) q[4];\nh q[4];\nh q[5];\nrz(0.3414) q[5];\nh q[5];\nh q[6];\nrz(0.3414) q[6];\nh q[6];\nh q[7];\nrz(0.3414) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1632) q[0];\ncx q[1], q[0];\ncx q[0], q[7];\nrz(-0.2448) q[7];\ncx q[0], q[7];\ncx q[1], q[5];\nrz(0.0816) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(0.1632) q[5];\ncx q[7], q[5];\ncx q[1], q[6];\nrz(0.1632) q[6];\ncx q[1], q[6];\ncx q[1], q[2];\nrz(0.1632) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(0.2448) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(0.0816) q[3];\ncx q[1], q[3];\ncx q[7], q[3];\nrz(0.0816) q[3];\ncx q[7], q[3];\ncx q[5], q[3];\nrz(0.0816) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(0.1632) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(0.1632) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(0.0816) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(0.1632) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(0.0816) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(0.1632) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.1632) q[4];\ncx q[3], q[4];\nrz(0.3264) q[1];\nrz(0.0816) q[0];\nrz(0.0816) q[7];\nrz(-0.0816) q[5];\nrz(0.2448) q[6];\nrz(0.0816) q[2];\nrz(-0.408) q[3];\nrz(-0.3264) q[4];\nh q[0];\nrz(0.3422) q[0];\nh q[0];\nh q[1];\nrz(0.3422) q[1];\nh q[1];\nh q[2];\nrz(0.3422) q[2];\nh q[2];\nh q[3];\nrz(0.3422) q[3];\nh q[3];\nh q[4];\nrz(0.3422) q[4];\nh q[4];\nh q[5];\nrz(0.3422) q[5];\nh q[5];\nh q[6];\nrz(0.3422) q[6];\nh q[6];\nh q[7];\nrz(0.3422) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x3) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[7], q[3];\nrz(x2) q[3];\ncx q[7], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(x2) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x2) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x4) q[1];\nrz(x2) q[0];\nrz(x2) q[7];\nrz(x5) q[5];\nrz(x3) q[6];\nrz(x2) q[2];\nrz(x6) q[3];\nrz(x7) q[4];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[0], q[7];\nrz(x10) q[7];\ncx q[0], q[7];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x9) q[5];\ncx q[7], q[5];\ncx q[1], q[6];\nrz(x9) q[6];\ncx q[1], q[6];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x12) q[2];\ncx q[5], q[2];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[7], q[3];\nrz(x11) q[3];\ncx q[7], q[3];\ncx q[5], q[3];\nrz(x11) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x9) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[7], q[4];\nrz(x11) q[4];\ncx q[7], q[4];\ncx q[5], q[4];\nrz(x9) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x11) q[4];\ncx q[6], q[4];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\nrz(x13) q[1];\nrz(x11) q[0];\nrz(x11) q[7];\nrz(x14) q[5];\nrz(x12) q[6];\nrz(x11) q[2];\nrz(x15) q[3];\nrz(x16) q[4];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["7bc4dde9a09d0b94c5097b219891d81a","graph_coloring","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 1}, {\"id\": 2}, {\"id\": 0}, {\"id\": 3}], \"edges\": [{\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 0, \"target\": 3}]}","{\"states\": [1774, 3499], \"expectation_value\": -0.8938534248406429, \"params\": [[-0.0507, -0.0731], [0.0596, 0.07400000000000001]], \"bitstrings\": [\"100100010001\", \"001001010100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0003872387672468483, 0.00038723876724684834], \"optimization_time\": 6.892200231552124}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(4)) + 0.25 * (Z(10) @ Z(7)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(5)) + 0.25 * (Z(11) @ Z(8)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 1.0 * Z(4) + 1.0 * Z(3) + 1.0 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8) + 0.75 * Z(1) + 0.75 * Z(0) + 0.75 * Z(2) + 1.25 * Z(9) + 1.25 * Z(10) + 1.25 * Z(11)",1,12,2,"{\"smallest_eigenvalues\": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], \"number_of_smallest_eigenvalues\": 12, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"010010100001\", \"010001010100\", \"010010001100\", \"001100001010\", \"010100010001\", \"001001100010\", \"001010001100\", \"100001100010\", \"100010100001\", \"100100010001\", \"100100001010\", \"001001010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[4], q[3];\nrz(-0.0507) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(-0.0507) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.0507) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(-0.0254) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(-0.0254) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0507) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(-0.0254) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(-0.0507) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.0507) q[8];\ncx q[7], q[8];\ncx q[1], q[0];\nrz(-0.0507) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0507) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0507) q[2];\ncx q[0], q[2];\ncx q[3], q[9];\nrz(-0.0254) q[9];\ncx q[3], q[9];\ncx q[6], q[9];\nrz(-0.0254) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(-0.0254) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(-0.0254) q[10];\ncx q[4], q[10];\ncx q[7], q[10];\nrz(-0.0254) q[10];\ncx q[7], q[10];\ncx q[1], q[10];\nrz(-0.0254) q[10];\ncx q[1], q[10];\ncx q[9], q[10];\nrz(-0.0507) q[10];\ncx q[9], q[10];\ncx q[5], q[11];\nrz(-0.0254) q[11];\ncx q[5], q[11];\ncx q[8], q[11];\nrz(-0.0254) q[11];\ncx q[8], q[11];\ncx q[2], q[11];\nrz(-0.0254) q[11];\ncx q[2], q[11];\ncx q[9], q[11];\nrz(-0.0507) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.0507) q[11];\ncx q[10], q[11];\nrz(-0.1014) q[4];\nrz(-0.1014) q[3];\nrz(-0.1014) q[5];\nrz(-0.1014) q[6];\nrz(-0.1014) q[7];\nrz(-0.1014) q[8];\nrz(-0.0761) q[1];\nrz(-0.0761) q[0];\nrz(-0.0761) q[2];\nrz(-0.1268) q[9];\nrz(-0.1268) q[10];\nrz(-0.1268) q[11];\nh q[0];\nrz(0.1192) q[0];\nh q[0];\nh q[1];\nrz(0.1192) q[1];\nh q[1];\nh q[2];\nrz(0.1192) q[2];\nh q[2];\nh q[3];\nrz(0.1192) q[3];\nh q[3];\nh q[4];\nrz(0.1192) q[4];\nh q[4];\nh q[5];\nrz(0.1192) q[5];\nh q[5];\nh q[6];\nrz(0.1192) q[6];\nh q[6];\nh q[7];\nrz(0.1192) q[7];\nh q[7];\nh q[8];\nrz(0.1192) q[8];\nh q[8];\nh q[9];\nrz(0.1192) q[9];\nh q[9];\nh q[10];\nrz(0.1192) q[10];\nh q[10];\nh q[11];\nrz(0.1192) q[11];\nh q[11];\ncx q[4], q[3];\nrz(-0.0731) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(-0.0731) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.0731) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(-0.0365) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(-0.0365) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0731) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(-0.0365) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(-0.0731) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.0731) q[8];\ncx q[7], q[8];\ncx q[1], q[0];\nrz(-0.0731) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0731) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0731) q[2];\ncx q[0], q[2];\ncx q[3], q[9];\nrz(-0.0365) q[9];\ncx q[3], q[9];\ncx q[6], q[9];\nrz(-0.0365) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(-0.0365) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(-0.0365) q[10];\ncx q[4], q[10];\ncx q[7], q[10];\nrz(-0.0365) q[10];\ncx q[7], q[10];\ncx q[1], q[10];\nrz(-0.0365) q[10];\ncx q[1], q[10];\ncx q[9], q[10];\nrz(-0.0731) q[10];\ncx q[9], q[10];\ncx q[5], q[11];\nrz(-0.0365) q[11];\ncx q[5], q[11];\ncx q[8], q[11];\nrz(-0.0365) q[11];\ncx q[8], q[11];\ncx q[2], q[11];\nrz(-0.0365) q[11];\ncx q[2], q[11];\ncx q[9], q[11];\nrz(-0.0731) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.0731) q[11];\ncx q[10], q[11];\nrz(-0.1462) q[4];\nrz(-0.1462) q[3];\nrz(-0.1462) q[5];\nrz(-0.1462) q[6];\nrz(-0.1462) q[7];\nrz(-0.1462) q[8];\nrz(-0.1096) q[1];\nrz(-0.1096) q[0];\nrz(-0.1096) q[2];\nrz(-0.1827) q[9];\nrz(-0.1827) q[10];\nrz(-0.1827) q[11];\nh q[0];\nrz(0.148) q[0];\nh q[0];\nh q[1];\nrz(0.148) q[1];\nh q[1];\nh q[2];\nrz(0.148) q[2];\nh q[2];\nh q[3];\nrz(0.148) q[3];\nh q[3];\nh q[4];\nrz(0.148) q[4];\nh q[4];\nh q[5];\nrz(0.148) q[5];\nh q[5];\nh q[6];\nrz(0.148) q[6];\nh q[6];\nh q[7];\nrz(0.148) q[7];\nh q[7];\nh q[8];\nrz(0.148) q[8];\nh q[8];\nh q[9];\nrz(0.148) q[9];\nh q[9];\nh q[10];\nrz(0.148) q[10];\nh q[10];\nh q[11];\nrz(0.148) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(x1) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[9];\nrz(x1) q[9];\ncx q[3], q[9];\ncx q[6], q[9];\nrz(x1) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(x1) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(x1) q[10];\ncx q[4], q[10];\ncx q[7], q[10];\nrz(x1) q[10];\ncx q[7], q[10];\ncx q[1], q[10];\nrz(x1) q[10];\ncx q[1], q[10];\ncx q[9], q[10];\nrz(x0) q[10];\ncx q[9], q[10];\ncx q[5], q[11];\nrz(x1) q[11];\ncx q[5], q[11];\ncx q[8], q[11];\nrz(x1) q[11];\ncx q[8], q[11];\ncx q[2], q[11];\nrz(x1) q[11];\ncx q[2], q[11];\ncx q[9], q[11];\nrz(x0) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\nrz(x2) q[4];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x2) q[8];\nrz(x3) q[1];\nrz(x3) q[0];\nrz(x3) q[2];\nrz(x4) q[9];\nrz(x4) q[10];\nrz(x4) q[11];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nh q[9];\nrz(x5) q[9];\nh q[9];\nh q[10];\nrz(x5) q[10];\nh q[10];\nh q[11];\nrz(x5) q[11];\nh q[11];\ncx q[4], q[3];\nrz(x6) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x6) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x7) q[6];\ncx q[3], q[6];\ncx q[4], q[7];\nrz(x7) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x6) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(x7) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x6) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x6) q[8];\ncx q[7], q[8];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[3], q[9];\nrz(x7) q[9];\ncx q[3], q[9];\ncx q[6], q[9];\nrz(x7) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(x7) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(x7) q[10];\ncx q[4], q[10];\ncx q[7], q[10];\nrz(x7) q[10];\ncx q[7], q[10];\ncx q[1], q[10];\nrz(x7) q[10];\ncx q[1], q[10];\ncx q[9], q[10];\nrz(x6) q[10];\ncx q[9], q[10];\ncx q[5], q[11];\nrz(x7) q[11];\ncx q[5], q[11];\ncx q[8], q[11];\nrz(x7) q[11];\ncx q[8], q[11];\ncx q[2], q[11];\nrz(x7) q[11];\ncx q[2], q[11];\ncx q[9], q[11];\nrz(x6) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x6) q[11];\ncx q[10], q[11];\nrz(x8) q[4];\nrz(x8) q[3];\nrz(x8) q[5];\nrz(x8) q[6];\nrz(x8) q[7];\nrz(x8) q[8];\nrz(x9) q[1];\nrz(x9) q[0];\nrz(x9) q[2];\nrz(x10) q[9];\nrz(x10) q[10];\nrz(x10) q[11];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\nh q[9];\nrz(x11) q[9];\nh q[9];\nh q[10];\nrz(x11) q[10];\nh q[10];\nh q[11];\nrz(x11) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"number_of_colors\": 3}","{\"circuits\": [], \"gradients\": []}"]
["4002e7c825d905d476562dd2a4250026","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [40, 85], \"expectation_value\": -0.2673161947442811, \"params\": [[-0.0349, -0.0375], [0.044500000000000005, 0.0483]], \"bitstrings\": [\"1010111\", \"0101010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008865503656651473, 0.009183393650952231], \"optimization_time\": 3.116802215576172}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2)",1,7,2,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(-0.0349) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(-0.0349) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(-0.0349) q[5];\ncx q[0], q[5];\ncx q[5], q[1];\nrz(-0.0349) q[1];\ncx q[5], q[1];\ncx q[3], q[4];\nrz(-0.0349) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(-0.0349) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(-0.0349) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.0349) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(-0.0349) q[6];\ncx q[1], q[6];\ncx q[3], q[2];\nrz(-0.0349) q[2];\ncx q[3], q[2];\nrz(0.1396) q[3];\nrz(0.0349) q[0];\nrz(0.1047) q[5];\nrz(0.0698) q[1];\nrz(0.0349) q[4];\nrz(0.0698) q[6];\nrz(0) q[2];\nh q[0];\nrz(0.089) q[0];\nh q[0];\nh q[1];\nrz(0.089) q[1];\nh q[1];\nh q[2];\nrz(0.089) q[2];\nh q[2];\nh q[3];\nrz(0.089) q[3];\nh q[3];\nh q[4];\nrz(0.089) q[4];\nh q[4];\nh q[5];\nrz(0.089) q[5];\nh q[5];\nh q[6];\nrz(0.089) q[6];\nh q[6];\ncx q[3], q[0];\nrz(-0.0375) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(-0.0375) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(-0.0375) q[5];\ncx q[0], q[5];\ncx q[5], q[1];\nrz(-0.0375) q[1];\ncx q[5], q[1];\ncx q[3], q[4];\nrz(-0.0375) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(-0.0375) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(-0.0375) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.0375) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(-0.0375) q[6];\ncx q[1], q[6];\ncx q[3], q[2];\nrz(-0.0375) q[2];\ncx q[3], q[2];\nrz(0.15) q[3];\nrz(0.0375) q[0];\nrz(0.1125) q[5];\nrz(0.075) q[1];\nrz(0.0375) q[4];\nrz(0.075) q[6];\nrz(0) q[2];\nh q[0];\nrz(0.0966) q[0];\nh q[0];\nh q[1];\nrz(0.0966) q[1];\nh q[1];\nh q[2];\nrz(0.0966) q[2];\nh q[2];\nh q[3];\nrz(0.0966) q[3];\nh q[3];\nh q[4];\nrz(0.0966) q[4];\nh q[4];\nh q[5];\nrz(0.0966) q[5];\nh q[5];\nh q[6];\nrz(0.0966) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x3) q[5];\nrz(x4) q[1];\nrz(x2) q[4];\nrz(x4) q[6];\nrz(x5) q[2];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x7) q[0];\ncx q[3], q[0];\ncx q[3], q[5];\nrz(x7) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x7) q[5];\ncx q[0], q[5];\ncx q[5], q[1];\nrz(x7) q[1];\ncx q[5], q[1];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[3], q[6];\nrz(x7) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x7) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(x7) q[6];\ncx q[1], q[6];\ncx q[3], q[2];\nrz(x7) q[2];\ncx q[3], q[2];\nrz(x8) q[3];\nrz(x9) q[0];\nrz(x10) q[5];\nrz(x11) q[1];\nrz(x9) q[4];\nrz(x11) q[6];\nrz(x5) q[2];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["312149616102149104","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[8, 2], [2, 4], [0, 4], [8, 1], [3, 7], [4, 5], [5, 6]]}","{\"states\": [458, 488], \"expectation_value\": -0.07439994364511227, \"params\": [[0.0761], [-0.0711]], \"bitstrings\": [\"000110101\", \"000010111\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002258542011408586, 0.002258542011408586], \"optimization_time\": 0.551934003829956}","0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6)",1,9,1,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"111101000\", \"111001010\", \"000110101\", \"000010111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[8];\nrz(0.0761) q[8];\ncx q[2], q[8];\ncx q[2], q[4];\nrz(0.0761) q[4];\ncx q[2], q[4];\ncx q[4], q[0];\nrz(0.0761) q[0];\ncx q[4], q[0];\ncx q[8], q[1];\nrz(0.0761) q[1];\ncx q[8], q[1];\ncx q[7], q[3];\nrz(0.0761) q[3];\ncx q[7], q[3];\ncx q[4], q[5];\nrz(0.0761) q[5];\ncx q[4], q[5];\ncx q[5], q[6];\nrz(0.0761) q[6];\ncx q[5], q[6];\nrz(0) q[2];\nrz(0) q[8];\nrz(0) q[4];\nrz(0) q[0];\nrz(0) q[1];\nrz(0) q[7];\nrz(0) q[3];\nrz(0) q[5];\nrz(0) q[6];\nh q[0];\nrz(-0.1422) q[0];\nh q[0];\nh q[1];\nrz(-0.1422) q[1];\nh q[1];\nh q[2];\nrz(-0.1422) q[2];\nh q[2];\nh q[3];\nrz(-0.1422) q[3];\nh q[3];\nh q[4];\nrz(-0.1422) q[4];\nh q[4];\nh q[5];\nrz(-0.1422) q[5];\nh q[5];\nh q[6];\nrz(-0.1422) q[6];\nh q[6];\nh q[7];\nrz(-0.1422) q[7];\nh q[7];\nh q[8];\nrz(-0.1422) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[8], q[1];\nrz(x0) q[1];\ncx q[8], q[1];\ncx q[7], q[3];\nrz(x0) q[3];\ncx q[7], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\nrz(x1) q[2];\nrz(x1) q[8];\nrz(x1) q[4];\nrz(x1) q[0];\nrz(x1) q[1];\nrz(x1) q[7];\nrz(x1) q[3];\nrz(x1) q[5];\nrz(x1) q[6];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nh q[8];\nrz(x2) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["4d778fc08d555f5d794c80ebdd4cf032","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 8}, {\"capacity\": 3, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 3, \"source\": 6, \"target\": 7}, {\"capacity\": 3, \"source\": 6, \"target\": 8}, {\"capacity\": 3, \"source\": 7, \"target\": 2}, {\"capacity\": 3, \"source\": 7, \"target\": 5}]}","{\"states\": [0, 1], \"expectation_value\": -12.603900186886722, \"params\": [0.0032, 0.5028, 0.0027, 0.6035, 0.0029000000000000002, -0.597, 0.0025, 0.5956, 0.0023, -0.5943, 0.0023, 0.601, 0.006200000000000001, -0.0036000000000000003, -0.0028, 0.6046, 0.8097000000000001, 0.0086, 0.0033, 0.0076, 0.0027, 0.005, 0.0029000000000000002, 0.0036000000000000003, 0.0025, 0.005, 0.0023, 0.0028, 0.0023, 0.0012000000000000001, -0.0013000000000000002, 0.0005, -0.0028, 0.0, 0.8027000000000001, 0.0061, -0.5941000000000001, 0.6057, -0.5815, 0.6067, -0.5875, 0.0061, -0.5934, 0.007200000000000001, 0.005200000000000001, 0.0027, 0.0088, 0.0037, 0.0, 0.0025, 0.0032, 0.0086], \"bitstrings\": [\"111111111\", \"111111110\"], \"total_optimization_steps\": 80, \"probabilities\": [0.479141117765741, 0.5208104386715635], \"optimization_time\": 25.71345329284668}","-0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(8)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.5 * Z(6) + 0.25 * Z(7) + 1.25 * Z(8) + -0.5 * Z(3) + -1.0 * Z(5) + 0.5 * Z(2)",3,9,2,"{\"smallest_eigenvalues\": [-15.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.0, \"smallest_bitstrings\": [\"111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0032) q[0];\nrz(0.5028) q[0];\nrx(0.0027) q[1];\nrz(0.6035) q[1];\nrx(0.0029) q[2];\nrz(-0.597) q[2];\nrx(0.0025) q[3];\nrz(0.5956) q[3];\nrx(0.0023) q[4];\nrz(-0.5943) q[4];\nrx(0.0023) q[5];\nrz(0.601) q[5];\nrx(0.0062) q[6];\nrz(-0.0036) q[6];\nrx(-0.0028) q[7];\nrz(0.6046) q[7];\nrx(0.8097) q[8];\nrz(0.0086) q[8];\ncrz(0.0072) q[8], q[7];\ncrz(-0.5934) q[7], q[6];\ncrz(0.0061) q[6], q[5];\ncrz(-0.5875) q[5], q[4];\ncrz(0.6067) q[4], q[3];\ncrz(-0.5815) q[3], q[2];\ncrz(0.6057) q[2], q[1];\ncrz(-0.5941) q[1], q[0];\nrx(0.0033) q[0];\nrz(0.0076) q[0];\nrx(0.0027) q[1];\nrz(0.005) q[1];\nrx(0.0029) q[2];\nrz(0.0036) q[2];\nrx(0.0025) q[3];\nrz(0.005) q[3];\nrx(0.0023) q[4];\nrz(0.0028) q[4];\nrx(0.0023) q[5];\nrz(0.0012) q[5];\nrx(-0.0013) q[6];\nrz(0.0005) q[6];\nrx(-0.0028) q[7];\nrz(0) q[7];\nrx(0.8027) q[8];\nrz(0.0061) q[8];\ncrz(0.0086) q[8], q[7];\ncrz(0.0032) q[7], q[6];\ncrz(0.0025) q[6], q[5];\ncrz(0) q[5], q[4];\ncrz(0.0037) q[4], q[3];\ncrz(0.0088) q[3], q[2];\ncrz(0.0027) q[2], q[1];\ncrz(0.0052) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x8) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\ncrz(x17) q[8], q[7];\ncrz(x18) q[7], q[6];\ncrz(x19) q[6], q[5];\ncrz(x20) q[5], q[4];\ncrz(x21) q[4], q[3];\ncrz(x22) q[3], q[2];\ncrz(x23) q[2], q[1];\ncrz(x24) q[1], q[0];\nrx(x25) q[0];\nrz(x26) q[0];\nrx(x2) q[1];\nrz(x27) q[1];\nrx(x4) q[2];\nrz(x28) q[2];\nrx(x6) q[3];\nrz(x27) q[3];\nrx(x8) q[4];\nrz(x29) q[4];\nrx(x8) q[5];\nrz(x30) q[5];\nrx(x31) q[6];\nrz(x32) q[6];\nrx(x13) q[7];\nrz(x33) q[7];\nrx(x34) q[8];\nrz(x19) q[8];\ncrz(x16) q[8], q[7];\ncrz(x0) q[7], q[6];\ncrz(x6) q[6], q[5];\ncrz(x33) q[5], q[4];\ncrz(x35) q[4], q[3];\ncrz(x36) q[3], q[2];\ncrz(x2) q[2], q[1];\ncrz(x37) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["4cda5dee957682c08dbd329bc943c5ef","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [13818, 30202], \"expectation_value\": -3.8340725475269175, \"params\": [[[1.6163, -0.0345, 0.0034000000000000002, 0.0011], [0.2886, -0.028200000000000003, -0.2867, 0.0076], [1.5737, 0.0028, 1.5735000000000001, 0.0039000000000000003], [1.8102, -0.0027, 1.337, 0.0054], [1.5666, -0.0029000000000000002, 1.5751000000000002, 0.0008], [1.9855, -0.0028, 1.1599000000000002, 0.0024000000000000002], [1.5688, 0.003, 1.5669000000000002, 0.0077], [-0.0026000000000000003, 0.6127, -0.0026000000000000003, 0.0068000000000000005], [1.5682, 0.0028, 1.5682, 0.0039000000000000003], [0.0035, 0.29910000000000003, -0.0118, 0.0057], [1.5678, 0.0019, 1.5687, 0.004200000000000001], [1.5745, -0.0029000000000000002, 1.5718, 0.0047], [1.5683, -0.0024000000000000002, -0.1413, 0.0032], [1.558, -0.0024000000000000002, 1.5781, 0.0033], [-0.002, 0.0088, 0.0053, 0.006]]], \"bitstrings\": [\"100101000000101\", \"000101000000101\"], \"total_optimization_steps\": 240, \"probabilities\": [0.27269989356097246, 0.29759724375812246], \"optimization_time\": 46.57224988937378}","0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0625 * (Z(1) @ Z(3) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(4) @ Z(1) @ Z(3)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(8) @ Z(5)) + 0.0625 * (Z(6) @ Z(7)) + 0.0625 * (Z(8) @ Z(6)) + 0.0625 * (Z(8) @ Z(7)) + -0.0625 * (Z(0) @ Z(5) @ Z(6)) + -0.0625 * (Z(0) @ Z(5) @ Z(7)) + -0.0625 * (Z(0) @ Z(8) @ Z(5)) + -0.0625 * (Z(0) @ Z(6) @ Z(7)) + -0.0625 * (Z(0) @ Z(8) @ Z(6)) + -0.0625 * (Z(0) @ Z(8) @ Z(7)) + -0.0625 * (Z(5) @ Z(6) @ Z(7)) + -0.0625 * (Z(8) @ Z(5) @ Z(6)) + -0.0625 * (Z(8) @ Z(5) @ Z(7)) + -0.0625 * (Z(8) @ Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(5) @ Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(8) @ Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(8) @ Z(5) @ Z(7)) + 0.0625 * (Z(0) @ Z(8) @ Z(6) @ Z(7)) + 0.0625 * (Z(8) @ Z(5) @ Z(6) @ Z(7)) + -0.0625 * (Z(0) @ Z(5) @ Z(7) @ Z(8) @ Z(6)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(9) @ Z(1)) + 0.125 * (Z(1) @ Z(10)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(5) @ Z(10)) + 0.125 * (Z(9) @ Z(10)) + -0.125 * (Z(9) @ Z(1) @ Z(5)) + -0.125 * (Z(1) @ Z(5) @ Z(10)) + -0.125 * (Z(9) @ Z(1) @ Z(10)) + -0.125 * (Z(9) @ Z(5) @ Z(10)) + 0.125 * (Z(9) @ Z(1) @ Z(5) @ Z(10)) + 0.125 * (Z(9) @ Z(6)) + 0.125 * (Z(6) @ Z(11)) + 0.125 * (Z(6) @ Z(12)) + 0.125 * (Z(9) @ Z(11)) + 0.125 * (Z(9) @ Z(12)) + 0.125 * (Z(11) @ Z(12)) + -0.125 * (Z(9) @ Z(6) @ Z(11)) + -0.125 * (Z(9) @ Z(6) @ Z(12)) + -0.125 * (Z(6) @ Z(11) @ Z(12)) + -0.125 * (Z(9) @ Z(11) @ Z(12)) + 0.125 * (Z(9) @ Z(6) @ Z(11) @ Z(12)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(11)) + 0.0625 * (Z(13) @ Z(2)) + 0.0625 * (Z(14) @ Z(2)) + 0.0625 * (Z(11) @ Z(7)) + 0.0625 * (Z(13) @ Z(7)) + 0.0625 * (Z(14) @ Z(7)) + 0.0625 * (Z(13) @ Z(11)) + 0.0625 * (Z(14) @ Z(11)) + 0.0625 * (Z(13) @ Z(14)) + -0.0625 * (Z(2) @ Z(11) @ Z(7)) + -0.0625 * (Z(13) @ Z(2) @ Z(7)) + -0.0625 * (Z(14) @ Z(2) @ Z(7)) + -0.0625 * (Z(13) @ Z(2) @ Z(11)) + -0.0625 * (Z(14) @ Z(2) @ Z(11)) + -0.0625 * (Z(13) @ Z(14) @ Z(2)) + -0.0625 * (Z(13) @ Z(11) @ Z(7)) + -0.0625 * (Z(14) @ Z(11) @ Z(7)) + -0.0625 * (Z(13) @ Z(14) @ Z(7)) + -0.0625 * (Z(13) @ Z(14) @ Z(11)) + 0.0625 * (Z(13) @ Z(2) @ Z(11) @ Z(7)) + 0.0625 * (Z(14) @ Z(2) @ Z(11) @ Z(7)) + 0.0625 * (Z(13) @ Z(14) @ Z(2) @ Z(7)) + 0.0625 * (Z(13) @ Z(14) @ Z(2) @ Z(11)) + 0.0625 * (Z(13) @ Z(14) @ Z(11) @ Z(7)) + -0.0625 * (Z(2) @ Z(11) @ Z(14) @ Z(7) @ Z(13)) + 0.125 * (Z(10) @ Z(3)) + 0.125 * (Z(12) @ Z(3)) + 0.125 * (Z(13) @ Z(3)) + 0.125 * (Z(10) @ Z(12)) + 0.125 * (Z(13) @ Z(10)) + 0.125 * (Z(13) @ Z(12)) + -0.125 * (Z(10) @ Z(12) @ Z(3)) + -0.125 * (Z(13) @ Z(10) @ Z(3)) + -0.125 * (Z(13) @ Z(12) @ Z(3)) + -0.125 * (Z(13) @ Z(10) @ Z(12)) + 0.125 * (Z(13) @ Z(10) @ Z(12) @ Z(3)) + 0.25 * (Z(8) @ Z(4)) + 0.25 * (Z(14) @ Z(4)) + 0.25 * (Z(8) @ Z(14)) + -0.25 * (Z(8) @ Z(14) @ Z(4)) + 0.375 * Z(0) + 0.3125 * Z(1) + 0.375 * Z(2) + 0.3125 * Z(3) + 0.1875 * Z(4) + 0.3125 * Z(5) + 0.3125 * Z(6) + 0.375 * Z(7) + 0.1875 * Z(8) + 0.25 * Z(9) + 0.25 * Z(10) + 0.3125 * Z(11) + 0.25 * Z(12) + 0.3125 * Z(13) + 0.1875 * Z(14)",11,15,1,"{\"smallest_eigenvalues\": [-4.3125], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.312499999999994, \"smallest_bitstrings\": [\"000101000000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nry(1.6163) q[0];\nrz(-0.0345) q[0];\nry(0.2886) q[1];\nrz(-0.0282) q[1];\nry(1.5737) q[2];\nrz(0.0028) q[2];\nry(1.8102) q[3];\nrz(-0.0027) q[3];\nry(1.5666) q[4];\nrz(-0.0029) q[4];\nry(1.9855) q[5];\nrz(-0.0028) q[5];\nry(1.5688) q[6];\nrz(0.003) q[6];\nry(-0.0026) q[7];\nrz(0.6127) q[7];\nry(1.5682) q[8];\nrz(0.0028) q[8];\nry(0.0035) q[9];\nrz(0.2991) q[9];\nry(1.5678) q[10];\nrz(0.0019) q[10];\nry(1.5745) q[11];\nrz(-0.0029) q[11];\nry(1.5683) q[12];\nrz(-0.0024) q[12];\nry(1.558) q[13];\nrz(-0.0024) q[13];\nry(-0.002) q[14];\nrz(0.0088) q[14];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\ncx q[13], q[12];\nry(-0.2867) q[1];\nrz(0.0076) q[1];\nry(1.5735) q[2];\nrz(0.0039) q[2];\ncx q[2], q[1];\nry(1.337) q[3];\nrz(0.0054) q[3];\nry(1.5751) q[4];\nrz(0.0008) q[4];\ncx q[4], q[3];\nry(1.1599) q[5];\nrz(0.0024) q[5];\nry(1.5669) q[6];\nrz(0.0077) q[6];\ncx q[6], q[5];\nry(-0.0026) q[7];\nrz(0.0068) q[7];\nry(1.5682) q[8];\nrz(0.0039) q[8];\ncx q[8], q[7];\nry(-0.0118) q[9];\nrz(0.0057) q[9];\nry(1.5687) q[10];\nrz(0.0042) q[10];\ncx q[10], q[9];\nry(1.5718) q[11];\nrz(0.0047) q[11];\nry(-0.1413) q[12];\nrz(0.0032) q[12];\ncx q[12], q[11];\nry(1.5781) q[13];\nrz(0.0033) q[13];\ncx q[14], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[15] c;\nqubit[15] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x5) q[8];\nry(x17) q[9];\nrz(x18) q[9];\nry(x19) q[10];\nrz(x20) q[10];\nry(x21) q[11];\nrz(x9) q[11];\nry(x22) q[12];\nrz(x23) q[12];\nry(x24) q[13];\nrz(x23) q[13];\nry(x25) q[14];\nrz(x26) q[14];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\ncx q[13], q[12];\nry(x27) q[1];\nrz(x28) q[1];\nry(x29) q[2];\nrz(x30) q[2];\ncx q[2], q[1];\nry(x31) q[3];\nrz(x32) q[3];\nry(x33) q[4];\nrz(x34) q[4];\ncx q[4], q[3];\nry(x35) q[5];\nrz(x36) q[5];\nry(x37) q[6];\nrz(x38) q[6];\ncx q[6], q[5];\nry(x14) q[7];\nrz(x39) q[7];\nry(x16) q[8];\nrz(x30) q[8];\ncx q[8], q[7];\nry(x40) q[9];\nrz(x41) q[9];\nry(x42) q[10];\nrz(x43) q[10];\ncx q[10], q[9];\nry(x44) q[11];\nrz(x45) q[11];\nry(x46) q[12];\nrz(x47) q[12];\ncx q[12], q[11];\nry(x48) q[13];\nrz(x49) q[13];\ncx q[14], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];",null,"{\"circuits\": [], \"gradients\": []}"]
["7457472811842010813","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[0, 2, 7], [9, 10], [2, 3, 4], [1, 2, 6], [0, 4], [9, 4, 5], [8, 3], [10, 2], [9, 3], [1, 3, 5], [0, 10, 7], [9, 6, 7], [0, 1, 6], [1, 4], [0, 2, 3], [8, 9, 7], [1, 10, 6], [9, 2, 4], [9, 4, 7], [10, 5]]}","{\"states\": [1854, 1838], \"expectation_value\": -5.471349010695267, \"params\": [1.5788, 1.5779, 1.5757, 1.5778, 1.5821, 1.5851000000000002, 0.3169, 0.316, 0.3297, 0.32480000000000003, 1.5836000000000001, 1.5812000000000002, 0.6976, 0.6895, 1.5802, 1.5764, 0.9477000000000001, 0.9353, 1.5823, 1.5828, 0.1749, 0.17450000000000002, 0.6678000000000001, 0.0011, -0.0004, 0.0019, 0.023700000000000002, 0.0022, 0.0898, 0.0032, -0.6744, 0.0022, 0.6533, 0.009000000000000001, 0.0066, 0.0061, -0.3417, 0.001, 0.009600000000000001, 0.006500000000000001, 0.0027, 0.0036000000000000003, 0.0118, 0.0061], \"bitstrings\": [\"00011000001\", \"00011010001\"], \"total_optimization_steps\": 160, \"probabilities\": [0.20812595698885214, 0.3069331578212709], \"optimization_time\": 66.38292503356934}","0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(9)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(3)) + 0.833333333333333 * Z(2) + 0.666666666666667 * Z(0) + 0.8333333333333337 * Z(7) + 0.8333333333333326 * Z(9) + 0.3333333333333335 * Z(10) + 0.5 * Z(3) + 0.6666666666666667 * Z(4) + 0.6666666666666665 * Z(1) + 0.6666666666666666 * Z(6) + 0.33333333333333326 * Z(5) + 0.16666666666666663 * Z(8)",13,11,1,"{\"smallest_eigenvalues\": [-6.499999999999999], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.166666666666665, \"smallest_bitstrings\": [\"00011010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(1.5788) q[0];\nry(1.5757) q[1];\nry(1.5821) q[2];\nry(0.3169) q[3];\nry(0.3297) q[4];\nry(1.5836) q[5];\nry(0.6976) q[6];\nry(1.5802) q[7];\nry(0.9477) q[8];\nry(1.5823) q[9];\nry(0.1749) q[10];\ncrz(0.6678) q[10], q[0];\ncrz(0.0118) q[9], q[10];\ncrz(0.0027) q[8], q[9];\ncrz(0.0096) q[7], q[8];\ncrz(-0.3417) q[6], q[7];\ncrz(0.0066) q[5], q[6];\ncrz(0.6533) q[4], q[5];\ncrz(-0.6744) q[3], q[4];\ncrz(0.0898) q[2], q[3];\ncrz(0.0237) q[1], q[2];\ncrz(-0.0004) q[0], q[1];\nry(1.5779) q[0];\nry(1.5778) q[1];\nry(1.5851) q[2];\nry(0.316) q[3];\nry(0.3248) q[4];\nry(1.5812) q[5];\nry(0.6895) q[6];\nry(1.5764) q[7];\nry(0.9353) q[8];\nry(1.5828) q[9];\nry(0.1745) q[10];\ncrz(0.0011) q[10], q[9];\ncrz(0.0019) q[0], q[10];\ncrz(0.0022) q[0], q[1];\ncrz(0.0032) q[1], q[2];\ncrz(0.0022) q[2], q[3];\ncrz(0.009) q[3], q[4];\ncrz(0.0061) q[4], q[5];\ncrz(0.001) q[5], q[6];\ncrz(0.0065) q[6], q[7];\ncrz(0.0036) q[7], q[8];\ncrz(0.0061) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrz(x11) q[10], q[0];\ncrz(x12) q[9], q[10];\ncrz(x13) q[8], q[9];\ncrz(x14) q[7], q[8];\ncrz(x15) q[6], q[7];\ncrz(x16) q[5], q[6];\ncrz(x17) q[4], q[5];\ncrz(x18) q[3], q[4];\ncrz(x19) q[2], q[3];\ncrz(x20) q[1], q[2];\ncrz(x21) q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncrz(x33) q[10], q[9];\ncrz(x34) q[0], q[10];\ncrz(x35) q[0], q[1];\ncrz(x36) q[1], q[2];\ncrz(x35) q[2], q[3];\ncrz(x37) q[3], q[4];\ncrz(x38) q[4], q[5];\ncrz(x39) q[5], q[6];\ncrz(x40) q[6], q[7];\ncrz(x41) q[7], q[8];\ncrz(x38) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["5decfcbe56a68574ecc0d9697d428cd1","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 11}, {\"source\": 9, \"target\": 10}, {\"source\": 9, \"target\": 11}]}","{\"states\": [2047, 255], \"expectation_value\": -20.510311168742188, \"params\": [[[0.0028, 0.0081], [0.0024000000000000002, 0.0083], [1.5783, 0.0089], [0.0022, 0.0033], [0.0025, 0.0054], [0.0023, 0.0038], [-0.01, 0.0012000000000000001], [0.0022, 0.0029000000000000002], [0.0023, 0.0012000000000000001], [0.002, 0.0032], [3.1614, 0.0056]]], \"bitstrings\": [\"00000000000\", \"11100000000\"], \"total_optimization_steps\": 320, \"probabilities\": [0.4961665804534966, 0.5036992031902942], \"optimization_time\": 7.00881290435791}","-2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(6)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(7)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(10)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(6) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9)",2,11,1,"{\"smallest_eigenvalues\": [-22.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.0, \"smallest_bitstrings\": [\"11100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.0028) q[0];\nrz(0.0081) q[0];\nrx(0.0024) q[1];\nrz(0.0083) q[1];\nrx(1.5783) q[2];\nrz(0.0089) q[2];\nrx(0.0022) q[3];\nrz(0.0033) q[3];\nrx(0.0025) q[4];\nrz(0.0054) q[4];\nrx(0.0023) q[5];\nrz(0.0038) q[5];\nrx(-0.01) q[6];\nrz(0.0012) q[6];\nrx(0.0022) q[7];\nrz(0.0029) q[7];\nrx(0.0023) q[8];\nrz(0.0012) q[8];\nrx(0.002) q[9];\nrz(0.0032) q[9];\nrx(3.1614) q[10];\nrz(0.0056) q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x6) q[7];\nrz(x14) q[7];\nrx(x10) q[8];\nrz(x13) q[8];\nrx(x15) q[9];\nrz(x16) q[9];\nrx(x17) q[10];\nrz(x18) q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["69144809aea48cb46eae9c3950f24a15","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}]}","{\"states\": [0, 2], \"expectation_value\": -0.535924494693161, \"params\": [[-0.07100000000000001, -0.07490000000000001, -0.06910000000000001, -0.0424], [0.0714, 0.0757, 0.0746, 0.0632]], \"bitstrings\": [\"111\", \"101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.1426418083350869, 0.20581203088909888], \"optimization_time\": 1.4132649898529053}","0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2)",1,3,4,"{\"smallest_eigenvalues\": [-2.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[2], q[1];\nrz(-0.071) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.071) q[0];\ncx q[1], q[0];\nrz(0.142) q[0];\nrz(0.071) q[1];\nrz(0.142) q[2];\nh q[0];\nrz(0.1428) q[0];\nh q[0];\nh q[1];\nrz(0.1428) q[1];\nh q[1];\nh q[2];\nrz(0.1428) q[2];\nh q[2];\ncx q[2], q[1];\nrz(-0.0749) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0749) q[0];\ncx q[1], q[0];\nrz(0.1498) q[0];\nrz(0.0749) q[1];\nrz(0.1498) q[2];\nh q[0];\nrz(0.1514) q[0];\nh q[0];\nh q[1];\nrz(0.1514) q[1];\nh q[1];\nh q[2];\nrz(0.1514) q[2];\nh q[2];\ncx q[2], q[1];\nrz(-0.0691) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0691) q[0];\ncx q[1], q[0];\nrz(0.1382) q[0];\nrz(0.0691) q[1];\nrz(0.1382) q[2];\nh q[0];\nrz(0.1492) q[0];\nh q[0];\nh q[1];\nrz(0.1492) q[1];\nh q[1];\nh q[2];\nrz(0.1492) q[2];\nh q[2];\ncx q[2], q[1];\nrz(-0.0424) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0424) q[0];\ncx q[1], q[0];\nrz(0.0848) q[0];\nrz(0.0424) q[1];\nrz(0.0848) q[2];\nh q[0];\nrz(0.1264) q[0];\nh q[0];\nh q[1];\nrz(0.1264) q[1];\nh q[1];\nh q[2];\nrz(0.1264) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\nrz(x1) q[0];\nrz(x2) q[1];\nrz(x1) q[2];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\ncx q[2], q[1];\nrz(x4) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\nrz(x5) q[0];\nrz(x6) q[1];\nrz(x5) q[2];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\ncx q[2], q[1];\nrz(x8) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\nrz(x9) q[0];\nrz(x10) q[1];\nrz(x9) q[2];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\ncx q[2], q[1];\nrz(x12) q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\nrz(x13) q[0];\nrz(x14) q[1];\nrz(x13) q[2];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];",null,"{\"circuits\": [], \"gradients\": []}"]
["11e3db404ceab325d959c6faf4c54e2e","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [11, 7], \"expectation_value\": -1.6499218710346475, \"params\": [[-0.07640000000000001, -0.0762, -0.0771, -0.0857], [0.0757, 0.07490000000000001, 0.0729, 0.07780000000000001]], \"bitstrings\": [\"1110100\", \"1111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.020604922415866776, 0.021058286113286397], \"optimization_time\": 13.376477718353271}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3)",1,7,4,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1011010\", \"1010110\", \"1111000\", \"1001110\", \"1110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0764) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0764) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0764) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0764) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.0764) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(-0.0764) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0764) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(-0.0764) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.0764) q[3];\ncx q[2], q[3];\nrz(0.0764) q[1];\nrz(0.2292) q[0];\nrz(0.1528) q[4];\nrz(0.1528) q[5];\nrz(0) q[6];\nrz(0.1528) q[2];\nrz(0.0764) q[3];\nh q[0];\nrz(0.1514) q[0];\nh q[0];\nh q[1];\nrz(0.1514) q[1];\nh q[1];\nh q[2];\nrz(0.1514) q[2];\nh q[2];\nh q[3];\nrz(0.1514) q[3];\nh q[3];\nh q[4];\nrz(0.1514) q[4];\nh q[4];\nh q[5];\nrz(0.1514) q[5];\nh q[5];\nh q[6];\nrz(0.1514) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0762) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0762) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0762) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0762) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.0762) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(-0.0762) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0762) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(-0.0762) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.0762) q[3];\ncx q[2], q[3];\nrz(0.0762) q[1];\nrz(0.2286) q[0];\nrz(0.1524) q[4];\nrz(0.1524) q[5];\nrz(0) q[6];\nrz(0.1524) q[2];\nrz(0.0762) q[3];\nh q[0];\nrz(0.1498) q[0];\nh q[0];\nh q[1];\nrz(0.1498) q[1];\nh q[1];\nh q[2];\nrz(0.1498) q[2];\nh q[2];\nh q[3];\nrz(0.1498) q[3];\nh q[3];\nh q[4];\nrz(0.1498) q[4];\nh q[4];\nh q[5];\nrz(0.1498) q[5];\nh q[5];\nh q[6];\nrz(0.1498) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0771) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0771) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0771) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0771) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.0771) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(-0.0771) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0771) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(-0.0771) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.0771) q[3];\ncx q[2], q[3];\nrz(0.0771) q[1];\nrz(0.2313) q[0];\nrz(0.1542) q[4];\nrz(0.1542) q[5];\nrz(0) q[6];\nrz(0.1542) q[2];\nrz(0.0771) q[3];\nh q[0];\nrz(0.1458) q[0];\nh q[0];\nh q[1];\nrz(0.1458) q[1];\nh q[1];\nh q[2];\nrz(0.1458) q[2];\nh q[2];\nh q[3];\nrz(0.1458) q[3];\nh q[3];\nh q[4];\nrz(0.1458) q[4];\nh q[4];\nh q[5];\nrz(0.1458) q[5];\nh q[5];\nh q[6];\nrz(0.1458) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0857) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0857) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0857) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0857) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(-0.0857) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(-0.0857) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0857) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(-0.0857) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.0857) q[3];\ncx q[2], q[3];\nrz(0.0857) q[1];\nrz(0.2571) q[0];\nrz(0.1714) q[4];\nrz(0.1714) q[5];\nrz(0) q[6];\nrz(0.1714) q[2];\nrz(0.0857) q[3];\nh q[0];\nrz(0.1556) q[0];\nh q[0];\nh q[1];\nrz(0.1556) q[1];\nh q[1];\nh q[2];\nrz(0.1556) q[2];\nh q[2];\nh q[3];\nrz(0.1556) q[3];\nh q[3];\nh q[4];\nrz(0.1556) q[4];\nh q[4];\nh q[5];\nrz(0.1556) q[5];\nh q[5];\nh q[6];\nrz(0.1556) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[4];\nrz(x3) q[5];\nrz(x4) q[6];\nrz(x3) q[2];\nrz(x1) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x6) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x6) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(x6) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\nrz(x7) q[1];\nrz(x8) q[0];\nrz(x9) q[4];\nrz(x9) q[5];\nrz(x4) q[6];\nrz(x9) q[2];\nrz(x7) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x11) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x11) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(x11) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x11) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(x11) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x11) q[3];\ncx q[2], q[3];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[4];\nrz(x14) q[5];\nrz(x4) q[6];\nrz(x14) q[2];\nrz(x12) q[3];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x16) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x16) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x16) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(x16) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x16) q[2];\ncx q[5], q[2];\ncx q[4], q[3];\nrz(x16) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x16) q[3];\ncx q[2], q[3];\nrz(x17) q[1];\nrz(x18) q[0];\nrz(x19) q[4];\nrz(x19) q[5];\nrz(x4) q[6];\nrz(x19) q[2];\nrz(x17) q[3];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["43783f0d102db45430e0e9cc0abd5421","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 4, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 5, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 4, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 1, \"source\": 6, \"target\": 8}, {\"capacity\": 3, \"source\": 7, \"target\": 1}]}","{\"states\": [5, 1], \"expectation_value\": -0.5483487918143782, \"params\": [[-0.067], [0.0743]], \"bitstrings\": [\"111111010\", \"111111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0029620647270232445, 0.0029656667670999244], \"optimization_time\": 2.623067617416382}","-0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(7) + -1.0 * Z(3) + 0.0 * Z(5) + -0.25 * Z(4) + 0.0 * Z(6) + 2.0 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-13.75, -13.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -11.75, \"smallest_bitstrings\": [\"111111110\", \"111111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.0335) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0335) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1005) q[2];\ncx q[0], q[2];\ncx q[1], q[7];\nrz(0.1005) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.134) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.1005) q[7];\ncx q[2], q[7];\ncx q[1], q[3];\nrz(0.067) q[3];\ncx q[1], q[3];\ncx q[1], q[5];\nrz(0.0335) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.067) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0335) q[5];\ncx q[3], q[5];\ncx q[2], q[4];\nrz(0.1675) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.134) q[4];\ncx q[3], q[4];\ncx q[3], q[6];\nrz(0.0335) q[6];\ncx q[3], q[6];\ncx q[0], q[8];\nrz(-0.3015) q[8];\ncx q[0], q[8];\ncx q[6], q[8];\nrz(0.0335) q[8];\ncx q[6], q[8];\nrz(0) q[1];\nrz(0.0335) q[0];\nrz(-0.067) q[2];\nrz(0.134) q[7];\nrz(0.134) q[3];\nrz(0) q[5];\nrz(0.0335) q[4];\nrz(0) q[6];\nrz(-0.268) q[8];\nh q[0];\nrz(0.1486) q[0];\nh q[0];\nh q[1];\nrz(0.1486) q[1];\nh q[1];\nh q[2];\nrz(0.1486) q[2];\nh q[2];\nh q[3];\nrz(0.1486) q[3];\nh q[3];\nh q[4];\nrz(0.1486) q[4];\nh q[4];\nh q[5];\nrz(0.1486) q[5];\nh q[5];\nh q[6];\nrz(0.1486) q[6];\nh q[6];\nh q[7];\nrz(0.1486) q[7];\nh q[7];\nh q[8];\nrz(0.1486) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x2) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[2], q[4];\nrz(x4) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x2) q[4];\ncx q[3], q[4];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[0], q[8];\nrz(x5) q[8];\ncx q[0], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x6) q[1];\nrz(x0) q[0];\nrz(x7) q[2];\nrz(x2) q[7];\nrz(x2) q[3];\nrz(x6) q[5];\nrz(x0) q[4];\nrz(x6) q[6];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["0cfc31894cbb21dc81348893cd71afd2","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 8}, {\"source\": 4, \"target\": 9}, {\"source\": 4, \"target\": 10}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 8}, {\"source\": 6, \"target\": 10}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}]}","{\"states\": [383, 1023], \"expectation_value\": -1.5930485556805631, \"params\": [[0.0356], [-0.0368]], \"bitstrings\": [\"1010000000\", \"0000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.001399250511538278, 0.001399250511538278], \"optimization_time\": 3.4412288665771484}","-1.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(3)) + 1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(6)) + -4.0 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(7)) + -3.0 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 1.0 * (Z(1) @ Z(3)) + -3.0 * (Z(1) @ Z(6)) + -3.5 * (Z(1) @ Z(7)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(8)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(9) + 0.5 * Z(1)",5,10,1,"{\"smallest_eigenvalues\": [-42.0, -42.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -41.0, \"smallest_bitstrings\": [\"0000000000\", \"1010000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[2], q[0];\nrz(-0.1068) q[0];\ncx q[2], q[0];\ncx q[5], q[3];\nrz(-0.178) q[3];\ncx q[5], q[3];\ncx q[5], q[6];\nrz(0.0356) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(-0.2492) q[6];\ncx q[3], q[6];\ncx q[5], q[7];\nrz(-0.2136) q[7];\ncx q[5], q[7];\ncx q[3], q[7];\nrz(-0.2136) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(0.1068) q[7];\ncx q[6], q[7];\ncx q[5], q[4];\nrz(0.0356) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(0.0356) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.2136) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(0.0712) q[4];\ncx q[7], q[4];\ncx q[5], q[8];\nrz(0.0712) q[8];\ncx q[5], q[8];\ncx q[3], q[8];\nrz(0.0712) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(-0.2492) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.2848) q[8];\ncx q[7], q[8];\ncx q[4], q[8];\nrz(-0.2136) q[8];\ncx q[4], q[8];\ncx q[5], q[9];\nrz(-0.2136) q[9];\ncx q[5], q[9];\ncx q[3], q[9];\nrz(0.0356) q[9];\ncx q[3], q[9];\ncx q[6], q[9];\nrz(0.0712) q[9];\ncx q[6], q[9];\ncx q[7], q[9];\nrz(0.0712) q[9];\ncx q[7], q[9];\ncx q[4], q[9];\nrz(-0.2136) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(-0.2492) q[9];\ncx q[8], q[9];\ncx q[5], q[1];\nrz(0.0356) q[1];\ncx q[5], q[1];\ncx q[3], q[1];\nrz(0.0712) q[1];\ncx q[3], q[1];\ncx q[6], q[1];\nrz(-0.2136) q[1];\ncx q[6], q[1];\ncx q[7], q[1];\nrz(-0.2492) q[1];\ncx q[7], q[1];\ncx q[4], q[1];\nrz(-0.2136) q[1];\ncx q[4], q[1];\ncx q[8], q[1];\nrz(-0.2136) q[1];\ncx q[8], q[1];\ncx q[9], q[1];\nrz(0.0712) q[1];\ncx q[9], q[1];\nrz(0.0712) q[2];\nrz(-0.0712) q[0];\nrz(0.0356) q[5];\nrz(0.0356) q[3];\nrz(0.0356) q[6];\nrz(0.0356) q[7];\nrz(0.0356) q[4];\nrz(0.0356) q[8];\nrz(0.0356) q[9];\nrz(0.0356) q[1];\nh q[0];\nrz(-0.0736) q[0];\nh q[0];\nh q[1];\nrz(-0.0736) q[1];\nh q[1];\nh q[2];\nrz(-0.0736) q[2];\nh q[2];\nh q[3];\nrz(-0.0736) q[3];\nh q[3];\nh q[4];\nrz(-0.0736) q[4];\nh q[4];\nh q[5];\nrz(-0.0736) q[5];\nh q[5];\nh q[6];\nrz(-0.0736) q[6];\nh q[6];\nh q[7];\nrz(-0.0736) q[7];\nh q[7];\nh q[8];\nrz(-0.0736) q[8];\nh q[8];\nh q[9];\nrz(-0.0736) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[5], q[3];\nrz(x1) q[3];\ncx q[5], q[3];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[5], q[7];\nrz(x4) q[7];\ncx q[5], q[7];\ncx q[3], q[7];\nrz(x4) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(x5) q[7];\ncx q[6], q[7];\ncx q[5], q[4];\nrz(x2) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(x2) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x4) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(x6) q[4];\ncx q[7], q[4];\ncx q[5], q[8];\nrz(x6) q[8];\ncx q[5], q[8];\ncx q[3], q[8];\nrz(x6) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x3) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x7) q[8];\ncx q[7], q[8];\ncx q[4], q[8];\nrz(x4) q[8];\ncx q[4], q[8];\ncx q[5], q[9];\nrz(x4) q[9];\ncx q[5], q[9];\ncx q[3], q[9];\nrz(x2) q[9];\ncx q[3], q[9];\ncx q[6], q[9];\nrz(x6) q[9];\ncx q[6], q[9];\ncx q[7], q[9];\nrz(x6) q[9];\ncx q[7], q[9];\ncx q[4], q[9];\nrz(x4) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(x3) q[9];\ncx q[8], q[9];\ncx q[5], q[1];\nrz(x2) q[1];\ncx q[5], q[1];\ncx q[3], q[1];\nrz(x6) q[1];\ncx q[3], q[1];\ncx q[6], q[1];\nrz(x4) q[1];\ncx q[6], q[1];\ncx q[7], q[1];\nrz(x3) q[1];\ncx q[7], q[1];\ncx q[4], q[1];\nrz(x4) q[1];\ncx q[4], q[1];\ncx q[8], q[1];\nrz(x4) q[1];\ncx q[8], q[1];\ncx q[9], q[1];\nrz(x6) q[1];\ncx q[9], q[1];\nrz(x6) q[2];\nrz(x8) q[0];\nrz(x2) q[5];\nrz(x2) q[3];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x2) q[4];\nrz(x2) q[8];\nrz(x2) q[9];\nrz(x2) q[1];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nh q[9];\nrz(x9) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 1}","{\"circuits\": [], \"gradients\": []}"]
["9106470436006913530","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[1, 3], [2, 3], [0, 1], [1, 2], [0, 2], [0, 4], [1, 5], [4, 5], [2, 4]]}","{\"states\": [18, 22], \"expectation_value\": -2.1957919952703504, \"params\": null, \"bitstrings\": [\"101101\", \"101001\"], \"total_optimization_steps\": 38, \"probabilities\": [0.39745165547516664, 0.41973806078770864], \"optimization_time\": 36.96464276313782}","0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"101001\", \"100101\", \"010010\", \"101101\", \"010110\", \"011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[1], q[2];\ncry(-1.0342) q[4], q[5];\nry(1.0293) q[4];\ncry(1.0886) q[4], q[1];\ncry(-0.9157) q[4], q[2];\ncry(-0.8992) q[1], q[5];\ncry(-1.3336) q[4], q[0];\nry(0.3925) q[1];\ncry(0.2781) q[1], q[4];\ncry(-0.2098) q[1], q[0];\nry(-0.0747) q[5];\ncry(0.2724) q[5], q[0];\ncry(-0.1143) q[3], q[2];\ncry(0.2063) q[5], q[2];\ncry(-0.1968) q[0], q[1];\nry(0.0908) q[2];\ncry(-0.1904) q[5], q[1];\ncry(-0.057) q[3], q[1];\nry(0.0536) q[0];\ncry(-0.1227) q[5], q[4];\ncry(0.0525) q[3], q[5];\ncry(0.1) q[5], q[3];\ncry(0.0754) q[0], q[5];\ncry(-0.0698) q[2], q[4];\ncry(0.0784) q[2], q[5];\nry(0.072) q[3];\ncry(-0.0638) q[2], q[1];\ncry(0.0592) q[0], q[3];\ncry(0.0306) q[3], q[0];\ncry(-0.0482) q[2], q[3];\ncry(-0.0473) q[1], q[3];\ncry(-0.0379) q[0], q[4];\ncry(0.0336) q[2], q[0];\ncry(0.0252) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":27585,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nry(1.0293) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nry(1.0293) q[4];\\ncry(1.0886) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nry(1.0293) q[4];\\ncry(1.0886) q[4], q[1];\\ncry(-0.9157) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nry(1.0293) q[4];\\ncry(1.0886) q[4], q[1];\\ncry(-0.9157) q[4], q[2];\\ncry(-0.8992) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nry(1.0293) q[4];\\ncry(1.0886) q[4], q[1];\\ncry(-0.9157) q[4], q[2];\\ncry(-0.8992) q[1], q[5];\\ncry(-1.3336) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nry(1.0293) q[4];\\ncry(1.0886) q[4], q[1];\\ncry(-0.9157) q[4], q[2];\\ncry(-0.8992) q[1], q[5];\\ncry(-1.3336) q[4], q[0];\\nry(0.3925) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nry(1.0293) q[4];\\ncry(1.0886) q[4], q[1];\\ncry(-0.9157) q[4], q[2];\\ncry(-0.8992) q[1], q[5];\\ncry(-1.3336) q[4], q[0];\\nry(0.3925) q[1];\\ncry(0.2781) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nry(1.0293) q[4];\\ncry(1.0886) q[4], q[1];\\ncry(-0.9157) q[4], q[2];\\ncry(-0.8992) q[1], q[5];\\ncry(-1.3336) q[4], q[0];\\nry(0.3925) q[1];\\ncry(0.2781) q[1], q[4];\\ncry(-0.2098) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.0342) q[1], q[2];\\ncry(-1.0342) q[4], q[5];\\nry(1.0293) q[4];"}}]
["15a5f37f6b324be94a7fa874923284e5","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 7, \"target\": 5}]}","{\"states\": [21, 7], \"expectation_value\": -22.347927280266347, \"params\": null, \"bitstrings\": [\"11101010\", \"11111000\"], \"total_optimization_steps\": 93, \"probabilities\": [0.08328509149000893, 0.6008720326604672], \"optimization_time\": 209.53301453590393}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.75 * (Z(6) @ Z(4)) + 3.0 * (Z(7) @ Z(1)) + 3.0 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 2.75 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(6)) + 2.75 * (Z(5) @ Z(7)) + -7.0 * Z(1) + -7.25 * Z(0) + -7.0 * Z(2) + -7.25 * Z(3) + -7.25 * Z(4) + -6.5 * Z(6) + -6.5 * Z(7) + -6.25 * Z(5)",10,8,2,"{\"smallest_eigenvalues\": [-24.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -22.5, \"smallest_bitstrings\": [\"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nry(-0.2982) q[3];\nry(-0.7275) q[4];\ncry(-1.2688) q[6], q[3];\ncry(-0.8374) q[7], q[4];\ncry(-0.7943) q[5], q[0];\ncry(-1.5708) q[1], q[2];\nry(1.391) q[5];\ncry(-0.3522) q[7], q[0];\ncry(-0.9816) q[7], q[1];\nry(0.5492) q[7];\ncry(0.5394) q[5], q[4];\ncry(-0.8351) q[6], q[4];\ncry(0.6226) q[2], q[1];\nry(-0.5825) q[2];\ncry(-0.6655) q[6], q[1];\nry(0.4193) q[6];\ncry(-0.3288) q[5], q[3];\ncry(-0.5306) q[1], q[4];\ncry(0.356) q[5], q[6];\ncry(-0.2013) q[5], q[1];\ncry(-0.2607) q[7], q[2];\ncry(0.3989) q[5], q[7];\nry(-0.2437) q[1];\ncry(-0.0749) q[6], q[0];\ncry(0.3122) q[6], q[7];\ncry(-0.0239) q[7], q[3];\ncry(-0.1244) q[6], q[2];\ncry(-0.5303) q[3], q[4];\ncry(0.1432) q[7], q[5];\ncry(-1.1907) q[1], q[6];\ncry(-1.0764) q[2], q[6];\ncry(0.2857) q[7], q[6];\ncry(0.0357) q[5], q[2];\ncry(-0.3732) q[3], q[1];\ncry(0.9436) q[1], q[7];\ncry(-0.209) q[1], q[0];\ncry(1.0332) q[2], q[7];\ncry(-0.3036) q[4], q[2];\ncry(0.3652) q[3], q[7];\ncry(-0.2164) q[4], q[3];\ncry(-0.2364) q[3], q[2];\ncry(-0.1838) q[4], q[0];\ncry(-0.1419) q[3], q[0];\ncry(-0.3122) q[4], q[7];\ncry(0.2362) q[0], q[4];\ncry(0.1809) q[4], q[1];\ncry(0.1277) q[3], q[6];\ncry(-0.1142) q[1], q[3];\ncry(0.1257) q[1], q[5];\ncry(0.0936) q[2], q[4];\ncry(0.1635) q[0], q[7];\ncry(0.1278) q[0], q[6];\ncry(-0.1156) q[0], q[3];\ncry(0.113) q[4], q[5];\ncry(-0.1107) q[0], q[5];\ncry(0.075) q[4], q[6];\ncry(0.0633) q[3], q[5];\ncry(0.0095) q[6], q[5];\ncry(0.0677) q[2], q[5];\ncry(0.0411) q[0], q[1];\ncry(0.0193) q[2], q[3];\ncry(0.0278) q[0], q[2];\ncry(-0.0071) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"k\": 5}",{"$cut":{"chars":123050,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nry(-0.2982) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nry(-0.2982) q[3];\\nry(-0.7275) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nry(-0.2982) q[3];\\nry(-0.7275) q[4];\\ncry(-1.2688) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nry(-0.2982) q[3];\\nry(-0.7275) q[4];\\ncry(-1.2688) q[6], q[3];\\ncry(-0.8374) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nry(-0.2982) q[3];\\nry(-0.7275) q[4];\\ncry(-1.2688) q[6], q[3];\\ncry(-0.8374) q[7], q[4];\\ncry(-0.7943) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nry(-0.2982) q[3];\\nry(-0.7275) q[4];\\ncry(-1.2688) q[6], q[3];\\ncry(-0.8374) q[7], q[4];\\ncry(-0.7943) q[5], q[0];\\ncry(-1.5708) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nry(-0.2982) q[3];\\nry(-0.7275) q[4];\\ncry(-1.2688) q[6], q[3];\\ncry(-0.8374) q[7], q[4];\\ncry(-0.7943) q[5], q[0];\\ncry(-1.5708) q[1], q[2];\\nry(1.391) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nry(-0.2982) q[3];\\nry(-0.7275) q[4];\\ncry(-1.2688) q[6], q[3];\\ncry(-0.8374) q[7], q[4];\\ncry(-0.7943) q[5], q[0];\\ncry(-1.5708) q[1], q[2];\\nry(1.391) q[5];\\ncry(-0.3522) q[7], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[0];\\nry(-0.2982) q[3];\\nry(-0.7275) q[4];\\ncry(-1.2688) q[6], q[3];\\ncry(-0.8374) q"}}]
["d2e3f71e5c020057da0dd1812bdf6517","hamiltonian_path","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 1}, {\"weight\": 14, \"source\": 0, \"target\": 3}, {\"weight\": 20, \"source\": 0, \"target\": 2}, {\"weight\": 6, \"source\": 1, \"target\": 2}, {\"weight\": 15, \"source\": 1, \"target\": 3}, {\"weight\": 6, \"source\": 2, \"target\": 3}]}","{\"states\": [1, 9], \"expectation_value\": -0.9869666840725677, \"params\": [0.2932, 0.011300000000000001, 0.2909, 0.0244, 0.0974, 0.11370000000000001, 0.0969, 0.11230000000000001, 0.1068, 0.1174, 0.10890000000000001, 0.1154, 0.2904, 0.015700000000000002, 0.2869, 0.025400000000000002, 0.2866, 0.0472, 0.2903, 0.0429, 0.0994, 0.1188, 0.1013, 0.11510000000000001, 0.0993, 0.12100000000000001, 0.1051, 0.1179, 0.29510000000000003, 0.047400000000000005, 0.2891, 0.044700000000000004, 0.29200000000000004, 0.057800000000000004, 0.2917, 0.0523, 0.0988, 0.11710000000000001, 0.0998, 0.11620000000000001, 0.1047, 0.12100000000000001, 0.10880000000000001, 0.11950000000000001, 0.2876, 0.0585, 0.29200000000000004, 0.0529, 0.2897, 0.0723, 0.28700000000000003, 0.0011, 0.1032, 0.1297, 0.09870000000000001, 0.0037, 0.1071, 0.13, 0.128, 0.001, 0.2953, 0.0731, 0.2959, 0.006, -0.0937, 0.00030000000000000003, 0.0887, -0.0965, 0.07300000000000001, 0.1028, 0.111, 0.081, 0.0959, 0.11280000000000001, 0.1169, 0.1032, 0.1168, 0.11460000000000001, 0.1373, 0.127], \"bitstrings\": [\"1110\", \"0110\"], \"total_optimization_steps\": 30, \"probabilities\": [0.09457208182747727, 0.5218264873192786], \"optimization_time\": 10.095407485961914}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3)",5,4,4,"{\"smallest_eigenvalues\": [-2.0, -2.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": 0.0, \"smallest_bitstrings\": [\"1001\", \"0110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nrx(0.2932) q[0];\nrz(0.0113) q[0];\nrx(0.0974) q[1];\nrz(0.1137) q[1];\nrx(0.1068) q[2];\nrz(0.1174) q[2];\nrx(0.2904) q[3];\nrz(0.0157) q[3];\ncrz(0.0887) q[3], q[2];\ncrz(0.0003) q[3], q[1];\ncrz(-0.0937) q[3], q[0];\ncrz(-0.0965) q[2], q[3];\ncrz(0.0003) q[2], q[1];\ncrz(-0.0937) q[2], q[0];\ncrz(-0.0965) q[1], q[3];\ncrz(0.0887) q[1], q[2];\ncrz(-0.0937) q[1], q[0];\ncrz(-0.0965) q[0], q[3];\ncrz(0.0887) q[0], q[2];\ncrz(0.0003) q[0], q[1];\nrx(0.2909) q[0];\nrz(0.0244) q[0];\nrx(0.0969) q[1];\nrz(0.1123) q[1];\nrx(0.1089) q[2];\nrz(0.1154) q[2];\nrx(0.2869) q[3];\nrz(0.0254) q[3];\nrx(0.2866) q[0];\nrz(0.0472) q[0];\nrx(0.0994) q[1];\nrz(0.1188) q[1];\nrx(0.0993) q[2];\nrz(0.121) q[2];\nrx(0.2951) q[3];\nrz(0.0474) q[3];\ncrz(0.111) q[3], q[2];\ncrz(0.1028) q[3], q[1];\ncrz(0.073) q[3], q[0];\ncrz(0.081) q[2], q[3];\ncrz(0.1028) q[2], q[1];\ncrz(0.073) q[2], q[0];\ncrz(0.081) q[1], q[3];\ncrz(0.111) q[1], q[2];\ncrz(0.073) q[1], q[0];\ncrz(0.081) q[0], q[3];\ncrz(0.111) q[0], q[2];\ncrz(0.1028) q[0], q[1];\nrx(0.2903) q[0];\nrz(0.0429) q[0];\nrx(0.1013) q[1];\nrz(0.1151) q[1];\nrx(0.1051) q[2];\nrz(0.1179) q[2];\nrx(0.2891) q[3];\nrz(0.0447) q[3];\nrx(0.292) q[0];\nrz(0.0578) q[0];\nrx(0.0988) q[1];\nrz(0.1171) q[1];\nrx(0.1047) q[2];\nrz(0.121) q[2];\nrx(0.2876) q[3];\nrz(0.0585) q[3];\ncrz(0.1169) q[3], q[2];\ncrz(0.1128) q[3], q[1];\ncrz(0.0959) q[3], q[0];\ncrz(0.1032) q[2], q[3];\ncrz(0.1128) q[2], q[1];\ncrz(0.0959) q[2], q[0];\ncrz(0.1032) q[1], q[3];\ncrz(0.1169) q[1], q[2];\ncrz(0.0959) q[1], q[0];\ncrz(0.1032) q[0], q[3];\ncrz(0.1169) q[0], q[2];\ncrz(0.1128) q[0], q[1];\nrx(0.2917) q[0];\nrz(0.0523) q[0];\nrx(0.0998) q[1];\nrz(0.1162) q[1];\nrx(0.1088) q[2];\nrz(0.1195) q[2];\nrx(0.292) q[3];\nrz(0.0529) q[3];\nrx(0.2897) q[0];\nrz(0.0723) q[0];\nrx(0.1032) q[1];\nrz(0.1297) q[1];\nrx(0.1071) q[2];\nrz(0.13) q[2];\nrx(0.2953) q[3];\nrz(0.0731) q[3];\ncrz(0.1373) q[3], q[2];\ncrz(0.1146) q[3], q[1];\ncrz(0.1168) q[3], q[0];\ncrz(0.127) q[2], q[3];\ncrz(0.1146) q[2], q[1];\ncrz(0.1168) q[2], q[0];\ncrz(0.127) q[1], q[3];\ncrz(0.1373) q[1], q[2];\ncrz(0.1168) q[1], q[0];\ncrz(0.127) q[0], q[3];\ncrz(0.1373) q[0], q[2];\ncrz(0.1146) q[0], q[1];\nrx(0.287) q[0];\nrz(0.0011) q[0];\nrx(0.0987) q[1];\nrz(0.0037) q[1];\nrx(0.128) q[2];\nrz(0.001) q[2];\nrx(0.2959) q[3];\nrz(0.006) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x8;\ninput float[64] x9;\nbit[4] c;\nqubit[4] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\ncrz(x8) q[3], q[2];\ncrz(x9) q[3], q[1];\ncrz(x10) q[3], q[0];\ncrz(x11) q[2], q[3];\ncrz(x9) q[2], q[1];\ncrz(x10) q[2], q[0];\ncrz(x11) q[1], q[3];\ncrz(x8) q[1], q[2];\ncrz(x10) q[1], q[0];\ncrz(x11) q[0], q[3];\ncrz(x8) q[0], q[2];\ncrz(x9) q[0], q[1];\nrx(x12) q[0];\nrz(x13) q[0];\nrx(x14) q[1];\nrz(x15) q[1];\nrx(x16) q[2];\nrz(x17) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\ncrz(x28) q[3], q[2];\ncrz(x29) q[3], q[1];\ncrz(x30) q[3], q[0];\ncrz(x31) q[2], q[3];\ncrz(x29) q[2], q[1];\ncrz(x30) q[2], q[0];\ncrz(x31) q[1], q[3];\ncrz(x28) q[1], q[2];\ncrz(x30) q[1], q[0];\ncrz(x31) q[0], q[3];\ncrz(x28) q[0], q[2];\ncrz(x29) q[0], q[1];\nrx(x32) q[0];\nrz(x33) q[0];\nrx(x34) q[1];\nrz(x35) q[1];\nrx(x36) q[2];\nrz(x37) q[2];\nrx(x38) q[3];\nrz(x39) q[3];\nrx(x40) q[0];\nrz(x41) q[0];\nrx(x42) q[1];\nrz(x43) q[1];\nrx(x44) q[2];\nrz(x25) q[2];\nrx(x45) q[3];\nrz(x46) q[3];\ncrz(x47) q[3], q[2];\ncrz(x48) q[3], q[1];\ncrz(x49) q[3], q[0];\ncrz(x50) q[2], q[3];\ncrz(x48) q[2], q[1];\ncrz(x49) q[2], q[0];\ncrz(x50) q[1], q[3];\ncrz(x47) q[1], q[2];\ncrz(x49) q[1], q[0];\ncrz(x50) q[0], q[3];\ncrz(x47) q[0], q[2];\ncrz(x48) q[0], q[1];\nrx(x51) q[0];\nrz(x52) q[0];\nrx(x53) q[1];\nrz(x54) q[1];\nrx(x55) q[2];\nrz(x56) q[2];\nrx(x40) q[3];\nrz(x57) q[3];\nrx(x58) q[0];\nrz(x59) q[0];\nrx(x50) q[1];\nrz(x60) q[1];\nrx(x61) q[2];\nrz(x62) q[2];\nrx(x63) q[3];\nrz(x64) q[3];\ncrz(x65) q[3], q[2];\ncrz(x66) q[3], q[1];\ncrz(x67) q[3], q[0];\ncrz(x68) q[2], q[3];\ncrz(x66) q[2], q[1];\ncrz(x67) q[2], q[0];\ncrz(x68) q[1], q[3];\ncrz(x65) q[1], q[2];\ncrz(x67) q[1], q[0];\ncrz(x68) q[0], q[3];\ncrz(x65) q[0], q[2];\ncrz(x66) q[0], q[1];\nrx(x69) q[0];\nrz(x70) q[0];\nrx(x71) q[1];\nrz(x72) q[1];\nrx(x73) q[2];\nrz(x74) q[2];\nrx(x75) q[3];\nrz(x76) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","{\"start_node\": 0, \"end_node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["c94e25bb0c907afabc61bb8c8f6edffe","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 3}, {\"weight\": 8, \"source\": 1, \"target\": 4}, {\"weight\": 16, \"source\": 1, \"target\": 8}, {\"weight\": 14, \"source\": 1, \"target\": 7}, {\"weight\": 6, \"source\": 2, \"target\": 5}, {\"weight\": 16, \"source\": 2, \"target\": 7}, {\"weight\": 18, \"source\": 2, \"target\": 6}, {\"weight\": 12, \"source\": 2, \"target\": 4}]}","{\"states\": [123, 59], \"expectation_value\": -52.67790024815263, \"params\": [0.0027, 0.7515000000000001, 0.5372, 0.31320000000000003, 0.9913000000000001, 0.24280000000000002, 0.9903000000000001, 0.0055000000000000005, 0.9938, 0.13670000000000002, 0.46330000000000005, 0.30410000000000004, 0.993, -0.0046, 0.9936, 0.0051, 0.0026000000000000003, 0.752, 0.5381, 0.27340000000000003, 0.9891000000000001, 0.2167, 0.9916, -0.0324, 0.9886, 0.1552, 0.45790000000000003, 0.29860000000000003, 0.9870000000000001, 0.0287, 0.9880000000000001, 0.0079, 0.0027, 0.0043, 0.5371, 0.0058000000000000005, 0.9916, 0.0094, 0.9865, 0.006, 0.9958, 0.0078000000000000005, 0.4596, 0.0076, 0.9880000000000001, 0.009000000000000001, 0.9855, 0.0009000000000000001, 0.0055000000000000005, -0.7383000000000001, 0.3257, 0.0562, -0.006200000000000001, 0.262, -0.1457, 0.0055000000000000005, 0.0073, -0.7289, 0.271, 0.027, 0.0046, 0.2771, 0.27890000000000004, -0.0056, 0.0012000000000000001, 0.0086, 0.004, 0.0038, 0.0002, 0.0037, 0.0066, 0.0063], \"bitstrings\": [\"10000100\", \"11000100\"], \"total_optimization_steps\": 100, \"probabilities\": [0.27915611240630767, 0.3184902277354633], \"optimization_time\": 38.078598499298096}","5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 8.0 * Z(3) + 12.0 * Z(2) + 9.0 * Z(1) + 16.0 * Z(4) + 8.0 * Z(5) + 14.0 * Z(6) + 18.0 * Z(7) + -7.5 * Z(0)",18,8,3,"{\"smallest_eigenvalues\": [-63.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -57.5, \"smallest_bitstrings\": [\"11000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0027) q[0];\nrz(0.7515) q[0];\nrx(0.5372) q[1];\nrz(0.3132) q[1];\nrx(0.9913) q[2];\nrz(0.2428) q[2];\nrx(0.9903) q[3];\nrz(0.0055) q[3];\nrx(0.9938) q[4];\nrz(0.1367) q[4];\nrx(0.4633) q[5];\nrz(0.3041) q[5];\nrx(0.993) q[6];\nrz(-0.0046) q[6];\nrx(0.9936) q[7];\nrz(0.0051) q[7];\ncrz(0.0055) q[7], q[0];\ncrz(0.0055) q[6], q[7];\ncrz(-0.1457) q[5], q[6];\ncrz(0.262) q[4], q[5];\ncrz(-0.0062) q[3], q[4];\ncrz(0.0562) q[2], q[3];\ncrz(0.3257) q[1], q[2];\ncrz(-0.7383) q[0], q[1];\nrx(0.0026) q[0];\nrz(0.752) q[0];\nrx(0.5381) q[1];\nrz(0.2734) q[1];\nrx(0.9891) q[2];\nrz(0.2167) q[2];\nrx(0.9916) q[3];\nrz(-0.0324) q[3];\nrx(0.9886) q[4];\nrz(0.1552) q[4];\nrx(0.4579) q[5];\nrz(0.2986) q[5];\nrx(0.987) q[6];\nrz(0.0287) q[6];\nrx(0.988) q[7];\nrz(0.0079) q[7];\ncrz(0.0073) q[7], q[0];\ncrz(-0.0056) q[6], q[7];\ncrz(0.2789) q[5], q[6];\ncrz(0.2771) q[4], q[5];\ncrz(0.0046) q[3], q[4];\ncrz(0.027) q[2], q[3];\ncrz(0.271) q[1], q[2];\ncrz(-0.7289) q[0], q[1];\nrx(0.0027) q[0];\nrz(0.0043) q[0];\nrx(0.5371) q[1];\nrz(0.0058) q[1];\nrx(0.9916) q[2];\nrz(0.0094) q[2];\nrx(0.9865) q[3];\nrz(0.006) q[3];\nrx(0.9958) q[4];\nrz(0.0078) q[4];\nrx(0.4596) q[5];\nrz(0.0076) q[5];\nrx(0.988) q[6];\nrz(0.009) q[6];\nrx(0.9855) q[7];\nrz(0.0009) q[7];\ncrz(0.0012) q[7], q[0];\ncrz(0.0063) q[6], q[7];\ncrz(0.0066) q[5], q[6];\ncrz(0.0037) q[4], q[5];\ncrz(0.0002) q[3], q[4];\ncrz(0.0038) q[2], q[3];\ncrz(0.004) q[1], q[2];\ncrz(0.0086) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x7) q[7], q[0];\ncrz(x7) q[6], q[7];\ncrz(x16) q[5], q[6];\ncrz(x17) q[4], q[5];\ncrz(x18) q[3], q[4];\ncrz(x19) q[2], q[3];\ncrz(x20) q[1], q[2];\ncrz(x21) q[0], q[1];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nrx(x36) q[7];\nrz(x37) q[7];\ncrz(x38) q[7], q[0];\ncrz(x39) q[6], q[7];\ncrz(x40) q[5], q[6];\ncrz(x41) q[4], q[5];\ncrz(x42) q[3], q[4];\ncrz(x43) q[2], q[3];\ncrz(x44) q[1], q[2];\ncrz(x45) q[0], q[1];\nrx(x0) q[0];\nrz(x46) q[0];\nrx(x47) q[1];\nrz(x48) q[1];\nrx(x28) q[2];\nrz(x49) q[2];\nrx(x50) q[3];\nrz(x51) q[3];\nrx(x52) q[4];\nrz(x53) q[4];\nrx(x54) q[5];\nrz(x55) q[5];\nrx(x36) q[6];\nrz(x56) q[6];\nrx(x57) q[7];\nrz(x58) q[7];\ncrz(x59) q[7], q[0];\ncrz(x60) q[6], q[7];\ncrz(x61) q[5], q[6];\ncrz(x62) q[4], q[5];\ncrz(x63) q[3], q[4];\ncrz(x64) q[2], q[3];\ncrz(x65) q[1], q[2];\ncrz(x66) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7, 8]}\"}","{\"circuits\": [], \"gradients\": []}"]
["6cfd499277502d6e85a2cad6ec018ed8","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 4}, {\"weight\": 19, \"source\": 0, \"target\": 5}, {\"weight\": 12, \"source\": 0, \"target\": 6}, {\"weight\": 10, \"source\": 1, \"target\": 5}, {\"weight\": 18, \"source\": 1, \"target\": 8}, {\"weight\": 4, \"source\": 2, \"target\": 6}, {\"weight\": 18, \"source\": 2, \"target\": 8}, {\"weight\": 2, \"source\": 3, \"target\": 7}, {\"weight\": 20, \"source\": 3, \"target\": 8}]}","{\"states\": [245, 213], \"expectation_value\": -76.07300589590803, \"params\": [0.031400000000000004, -0.137, 0.0303, -0.1436, 0.39440000000000003, 0.0666, 0.3909, 0.031100000000000003, 0.39680000000000004, 0.0614, 0.3889, 0.0286, 0.1767, -0.1044, 0.17250000000000001, -0.11330000000000001, 0.3915, 0.0877, 0.3899, 0.0507, 0.09770000000000001, -0.1452, 0.0949, -0.1521, 0.3945, 0.092, 0.3864, 0.057100000000000005, 0.0006000000000000001, 0.2705, 0.0022, 0.2656, 0.3952, 0.0636, 0.39330000000000004, 0.0269, 0.033800000000000004, -0.138, 0.0297, -0.1486, 0.3972, 0.022500000000000003, 0.3925, 0.0149, 0.39780000000000004, 0.0194, 0.3935, 0.0162, 0.1768, -0.10740000000000001, 0.1789, -0.1114, 0.39540000000000003, 0.0487, 0.3941, 0.048, 0.10210000000000001, -0.1472, 0.09960000000000001, -0.15360000000000001, 0.38580000000000003, 0.0307, 0.3895, 0.0285, -0.0061, 0.2672, -0.0049, 0.26730000000000004, 0.39130000000000004, 0.0177, 0.38630000000000003, 0.0095, 0.0339, -0.1476, 0.033600000000000005, -0.1557, 0.39640000000000003, 0.0181, 0.3896, 0.0108, 0.3936, 0.0216, 0.3905, 0.0224, 0.17750000000000002, -0.112, 0.1705, -0.1155, 0.39430000000000004, 0.0533, 0.39390000000000003, 0.056, 0.0969, -0.1519, 0.09820000000000001, -0.1615, 0.3894, 0.039900000000000005, 0.3899, 0.0505, -0.0061, 0.2677, -0.0056, 0.2661, 0.39540000000000003, 0.009000000000000001, 0.39440000000000003, 0.0132, 0.0302, -0.15940000000000001, 0.0446, 0.0017000000000000001, 0.3924, 0.026000000000000002, 0.3914, 0.0043, 0.3915, 0.0466, 0.3885, 0.0059, 0.1719, -0.1168, 0.1812, 0.0001, 0.3849, 0.057100000000000005, 0.3914, 0.0009000000000000001, 0.1012, -0.16090000000000002, 0.111, 0.0018000000000000002, 0.385, 0.08310000000000001, 0.38920000000000005, 0.0001, -0.0054, 0.265, -0.0022, 0.0046, 0.3924, 0.028200000000000003, 0.38880000000000003, 0.002, 0.059800000000000006, 0.1008, 0.10600000000000001, 0.0461, 0.1008, -0.0218, 0.0935, 0.10740000000000001, 0.1095, -0.0012000000000000001, 0.0534, 0.0565, -0.0818, 0.0843, -0.1106, 0.0621, 0.11220000000000001, 0.060500000000000005, -0.11270000000000001, -0.0396, -0.0414, -0.1126, -0.10160000000000001, -0.1348, -0.0553, 0.1199, -0.0268, -0.1522, -0.0337, -0.0385, -0.155, -0.09380000000000001, -0.15660000000000002, -0.0884, 0.1345, -0.0263], \"bitstrings\": [\"100001010\", \"100101010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.2185853670784758, 0.6974598654489796], \"optimization_time\": 216.16043257713318}","5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 0.5 * Z(0) + 11.0 * Z(2) + 5.0 * Z(3) + 14.0 * Z(4) + 2.0 * Z(5) + 14.0 * Z(6) + 15.0 * Z(8) + -4.0 * Z(7)",5,9,4,"{\"smallest_eigenvalues\": [-80.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -72.0, \"smallest_bitstrings\": [\"100101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0314) q[0];\nrz(-0.137) q[0];\nrx(0.3944) q[1];\nrz(0.0666) q[1];\nrx(0.3968) q[2];\nrz(0.0614) q[2];\nrx(0.1767) q[3];\nrz(-0.1044) q[3];\nrx(0.3915) q[4];\nrz(0.0877) q[4];\nrx(0.0977) q[5];\nrz(-0.1452) q[5];\nrx(0.3945) q[6];\nrz(0.092) q[6];\nrx(0.0006) q[7];\nrz(0.2705) q[7];\nrx(0.3952) q[8];\nrz(0.0636) q[8];\ncrz(0.1074) q[8], q[7];\ncrz(0.0935) q[8], q[6];\ncrz(-0.0218) q[8], q[5];\ncrz(0.1008) q[8], q[4];\ncrz(0.0461) q[8], q[3];\ncrz(0.106) q[8], q[2];\ncrz(0.1008) q[8], q[1];\ncrz(0.0598) q[8], q[0];\ncrz(0.1095) q[7], q[8];\ncrz(0.0935) q[7], q[6];\ncrz(-0.0218) q[7], q[5];\ncrz(0.1008) q[7], q[4];\ncrz(0.0461) q[7], q[3];\ncrz(0.106) q[7], q[2];\ncrz(0.1008) q[7], q[1];\ncrz(0.0598) q[7], q[0];\ncrz(0.1095) q[6], q[8];\ncrz(0.1074) q[6], q[7];\ncrz(-0.0218) q[6], q[5];\ncrz(0.1008) q[6], q[4];\ncrz(0.0461) q[6], q[3];\ncrz(0.106) q[6], q[2];\ncrz(0.1008) q[6], q[1];\ncrz(0.0598) q[6], q[0];\ncrz(0.1095) q[5], q[8];\ncrz(0.1074) q[5], q[7];\ncrz(0.0935) q[5], q[6];\ncrz(0.1008) q[5], q[4];\ncrz(0.0461) q[5], q[3];\ncrz(0.106) q[5], q[2];\ncrz(0.1008) q[5], q[1];\ncrz(0.0598) q[5], q[0];\ncrz(0.1095) q[4], q[8];\ncrz(0.1074) q[4], q[7];\ncrz(0.0935) q[4], q[6];\ncrz(-0.0218) q[4], q[5];\ncrz(0.0461) q[4], q[3];\ncrz(0.106) q[4], q[2];\ncrz(0.1008) q[4], q[1];\ncrz(0.0598) q[4], q[0];\ncrz(0.1095) q[3], q[8];\ncrz(0.1074) q[3], q[7];\ncrz(0.0935) q[3], q[6];\ncrz(-0.0218) q[3], q[5];\ncrz(0.1008) q[3], q[4];\ncrz(0.106) q[3], q[2];\ncrz(0.1008) q[3], q[1];\ncrz(0.0598) q[3], q[0];\ncrz(0.1095) q[2], q[8];\ncrz(0.1074) q[2], q[7];\ncrz(0.0935) q[2], q[6];\ncrz(-0.0218) q[2], q[5];\ncrz(0.1008) q[2], q[4];\ncrz(0.0461) q[2], q[3];\ncrz(0.1008) q[2], q[1];\ncrz(0.0598) q[2], q[0];\ncrz(0.1095) q[1], q[8];\ncrz(0.1074) q[1], q[7];\ncrz(0.0935) q[1], q[6];\ncrz(-0.0218) q[1], q[5];\ncrz(0.1008) q[1], q[4];\ncrz(0.0461) q[1], q[3];\ncrz(0.106) q[1], q[2];\ncrz(0.0598) q[1], q[0];\ncrz(0.1095) q[0], q[8];\ncrz(0.1074) q[0], q[7];\ncrz(0.0935) q[0], q[6];\ncrz(-0.0218) q[0], q[5];\ncrz(0.1008) q[0], q[4];\ncrz(0.0461) q[0], q[3];\ncrz(0.106) q[0], q[2];\ncrz(0.1008) q[0], q[1];\nrx(0.0303) q[0];\nrz(-0.1436) q[0];\nrx(0.3909) q[1];\nrz(0.0311) q[1];\nrx(0.3889) q[2];\nrz(0.0286) q[2];\nrx(0.1725) q[3];\nrz(-0.1133) q[3];\nrx(0.3899) q[4];\nrz(0.0507) q[4];\nrx(0.0949) q[5];\nrz(-0.1521) q[5];\nrx(0.3864) q[6];\nrz(0.0571) q[6];\nrx(0.0022) q[7];\nrz(0.2656) q[7];\nrx(0.3933) q[8];\nrz(0.0269) q[8];\nrx(0.0338) q[0];\nrz(-0.138) q[0];\nrx(0.3972) q[1];\nrz(0.0225) q[1];\nrx(0.3978) q[2];\nrz(0.0194) q[2];\nrx(0.1768) q[3];\nrz(-0.1074) q[3];\nrx(0.3954) q[4];\nrz(0.0487) q[4];\nrx(0.1021) q[5];\nrz(-0.1472) q[5];\nrx(0.3858) q[6];\nrz(0.0307) q[6];\nrx(-0.0061) q[7];\nrz(0.2672) q[7];\nrx(0.3913) q[8];\nrz(0.0177) q[8];\ncrz(0.1122) q[8], q[7];\ncrz(0.0621) q[8], q[6];\ncrz(-0.1106) q[8], q[5];\ncrz(0.0843) q[8], q[4];\ncrz(-0.0818) q[8], q[3];\ncrz(0.0565) q[8], q[2];\ncrz(0.0534) q[8], q[1];\ncrz(-0.0012) q[8], q[0];\ncrz(0.0605) q[7], q[8];\ncrz(0.0621) q[7], q[6];\ncrz(-0.1106) q[7], q[5];\ncrz(0.0843) q[7], q[4];\ncrz(-0.0818) q[7], q[3];\ncrz(0.0565) q[7], q[2];\ncrz(0.0534) q[7], q[1];\ncrz(-0.0012) q[7], q[0];\ncrz(0.0605) q[6], q[8];\ncrz(0.1122) q[6], q[7];\ncrz(-0.1106) q[6], q[5];\ncrz(0.0843) q[6], q[4];\ncrz(-0.0818) q[6], q[3];\ncrz(0.0565) q[6], q[2];\ncrz(0.0534) q[6], q[1];\ncrz(-0.0012) q[6], q[0];\ncrz(0.0605) q[5], q[8];\ncrz(0.1122) q[5], q[7];\ncrz(0.0621) q[5], q[6];\ncrz(0.0843) q[5], q[4];\ncrz(-0.0818) q[5], q[3];\ncrz(0.0565) q[5], q[2];\ncrz(0.0534) q[5], q[1];\ncrz(-0.0012) q[5], q[0];\ncrz(0.0605) q[4], q[8];\ncrz(0.1122) q[4], q[7];\ncrz(0.0621) q[4], q[6];\ncrz(-0.1106) q[4], q[5];\ncrz(-0.0818) q[4], q[3];\ncrz(0.0565) q[4], q[2];\ncrz(0.0534) q[4], q[1];\ncrz(-0.0012) q[4], q[0];\ncrz(0.0605) q[3], q[8];\ncrz(0.1122) q[3], q[7];\ncrz(0.0621) q[3], q[6];\ncrz(-0.1106) q[3], q[5];\ncrz(0.0843) q[3], q[4];\ncrz(0.0565) q[3], q[2];\ncrz(0.0534) q[3], q[1];\ncrz(-0.0012) q[3], q[0];\ncrz(0.0605) q[2], q[8];\ncrz(0.1122) q[2], q[7];\ncrz(0.0621) q[2], q[6];\ncrz(-0.1106) q[2], q[5];\ncrz(0.0843) q[2], q[4];\ncrz(-0.0818) q[2], q[3];\ncrz(0.0534) q[2], q[1];\ncrz(-0.0012) q[2], q[0];\ncrz(0.0605) q[1], q[8];\ncrz(0.1122) q[1], q[7];\ncrz(0.0621) q[1], q[6];\ncrz(-0.1106) q[1], q[5];\ncrz(0.0843) q[1], q[4];\ncrz(-0.0818) q[1], q[3];\ncrz(0.0565) q[1], q[2];\ncrz(-0.0012) q[1], q[0];\ncrz(0.0605) q[0], q[8];\ncrz(0.1122) q[0], q[7];\ncrz(0.0621) q[0], q[6];\ncrz(-0.1106) q[0], q[5];\ncrz(0.0843) q[0], q[4];\ncrz(-0.0818) q[0], q[3];\ncrz(0.0565) q[0], q[2];\ncrz(0.0534) q[0], q[1];\nrx(0.0297) q[0];\nrz(-0.1486) q[0];\nrx(0.3925) q[1];\nrz(0.0149) q[1];\nrx(0.3935) q[2];\nrz(0.0162) q[2];\nrx(0.1789) q[3];\nrz(-0.1114) q[3];\nrx(0.3941) q[4];\nrz(0.048) q[4];\nrx(0.0996) q[5];\nrz(-0.1536) q[5];\nrx(0.3895) q[6];\nrz(0.0285) q[6];\nrx(-0.0049) q[7];\nrz(0.2673) q[7];\nrx(0.3863) q[8];\nrz(0.0095) q[8];\nrx(0.0339) q[0];\nrz(-0.1476) q[0];\nrx(0.3964) q[1];\nrz(0.0181) q[1];\nrx(0.3936) q[2];\nrz(0.0216) q[2];\nrx(0.1775) q[3];\nrz(-0.112) q[3];\nrx(0.3943) q[4];\nrz(0.0533) q[4];\nrx(0.0969) q[5];\nrz(-0.1519) q[5];\nrx(0.3894) q[6];\nrz(0.0399) q[6];\nrx(-0.0061) q[7];\nrz(0.2677) q[7];\nrx(0.3954) q[8];\nrz(0.009) q[8];\ncrz(0.1199) q[8], q[7];\ncrz(-0.0553) q[8], q[6];\ncrz(-0.1348) q[8], q[5];\ncrz(-0.1016) q[8], q[4];\ncrz(-0.1126) q[8], q[3];\ncrz(-0.0414) q[8], q[2];\ncrz(-0.0396) q[8], q[1];\ncrz(-0.1127) q[8], q[0];\ncrz(-0.0268) q[7], q[8];\ncrz(-0.0553) q[7], q[6];\ncrz(-0.1348) q[7], q[5];\ncrz(-0.1016) q[7], q[4];\ncrz(-0.1126) q[7], q[3];\ncrz(-0.0414) q[7], q[2];\ncrz(-0.0396) q[7], q[1];\ncrz(-0.1127) q[7], q[0];\ncrz(-0.0268) q[6], q[8];\ncrz(0.1199) q[6], q[7];\ncrz(-0.1348) q[6], q[5];\ncrz(-0.1016) q[6], q[4];\ncrz(-0.1126) q[6], q[3];\ncrz(-0.0414) q[6], q[2];\ncrz(-0.0396) q[6], q[1];\ncrz(-0.1127) q[6], q[0];\ncrz(-0.0268) q[5], q[8];\ncrz(0.1199) q[5], q[7];\ncrz(-0.0553) q[5], q[6];\ncrz(-0.1016) q[5], q[4];\ncrz(-0.1126) q[5], q[3];\ncrz(-0.0414) q[5], q[2];\ncrz(-0.0396) q[5], q[1];\ncrz(-0.1127) q[5], q[0];\ncrz(-0.0268) q[4], q[8];\ncrz(0.1199) q[4], q[7];\ncrz(-0.0553) q[4], q[6];\ncrz(-0.1348) q[4], q[5];\ncrz(-0.1126) q[4], q[3];\ncrz(-0.0414) q[4], q[2];\ncrz(-0.0396) q[4], q[1];\ncrz(-0.1127) q[4], q[0];\ncrz(-0.0268) q[3], q[8];\ncrz(0.1199) q[3], q[7];\ncrz(-0.0553) q[3], q[6];\ncrz(-0.1348) q[3], q[5];\ncrz(-0.1016) q[3], q[4];\ncrz(-0.0414) q[3], q[2];\ncrz(-0.0396) q[3], q[1];\ncrz(-0.1127) q[3], q[0];\ncrz(-0.0268) q[2], q[8];\ncrz(0.1199) q[2], q[7];\ncrz(-0.0553) q[2], q[6];\ncrz(-0.1348) q[2], q[5];\ncrz(-0.1016) q[2], q[4];\ncrz(-0.1126) q[2], q[3];\ncrz(-0.0396) q[2], q[1];\ncrz(-0.1127) q[2], q[0];\ncrz(-0.0268) q[1], q[8];\ncrz(0.1199) q[1], q[7];\ncrz(-0.0553) q[1], q[6];\ncrz(-0.1348) q[1], q[5];\ncrz(-0.1016) q[1], q[4];\ncrz(-0.1126) q[1], q[3];\ncrz(-0.0414) q[1], q[2];\ncrz(-0.1127) q[1], q[0];\ncrz(-0.0268) q[0], q[8];\ncrz(0.1199) q[0], q[7];\ncrz(-0.0553) q[0], q[6];\ncrz(-0.1348) q[0], q[5];\ncrz(-0.1016) q[0], q[4];\ncrz(-0.1126) q[0], q[3];\ncrz(-0.0414) q[0], q[2];\ncrz(-0.0396) q[0], q[1];\nrx(0.0336) q[0];\nrz(-0.1557) q[0];\nrx(0.3896) q[1];\nrz(0.0108) q[1];\nrx(0.3905) q[2];\nrz(0.0224) q[2];\nrx(0.1705) q[3];\nrz(-0.1155) q[3];\nrx(0.3939) q[4];\nrz(0.056) q[4];\nrx(0.0982) q[5];\nrz(-0.1615) q[5];\nrx(0.3899) q[6];\nrz(0.0505) q[6];\nrx(-0.0056) q[7];\nrz(0.2661) q[7];\nrx(0.3944) q[8];\nrz(0.0132) q[8];\nrx(0.0302) q[0];\nrz(-0.1594) q[0];\nrx(0.3924) q[1];\nrz(0.026) q[1];\nrx(0.3915) q[2];\nrz(0.0466) q[2];\nrx(0.1719) q[3];\nrz(-0.1168) q[3];\nrx(0.3849) q[4];\nrz(0.0571) q[4];\nrx(0.1012) q[5];\nrz(-0.1609) q[5];\nrx(0.385) q[6];\nrz(0.0831) q[6];\nrx(-0.0054) q[7];\nrz(0.265) q[7];\nrx(0.3924) q[8];\nrz(0.0282) q[8];\ncrz(0.1345) q[8], q[7];\ncrz(-0.0884) q[8], q[6];\ncrz(-0.1566) q[8], q[5];\ncrz(-0.0938) q[8], q[4];\ncrz(-0.155) q[8], q[3];\ncrz(-0.0385) q[8], q[2];\ncrz(-0.0337) q[8], q[1];\ncrz(-0.1522) q[8], q[0];\ncrz(-0.0263) q[7], q[8];\ncrz(-0.0884) q[7], q[6];\ncrz(-0.1566) q[7], q[5];\ncrz(-0.0938) q[7], q[4];\ncrz(-0.155) q[7], q[3];\ncrz(-0.0385) q[7], q[2];\ncrz(-0.0337) q[7], q[1];\ncrz(-0.1522) q[7], q[0];\ncrz(-0.0263) q[6], q[8];\ncrz(0.1345) q[6], q[7];\ncrz(-0.1566) q[6], q[5];\ncrz(-0.0938) q[6], q[4];\ncrz(-0.155) q[6], q[3];\ncrz(-0.0385) q[6], q[2];\ncrz(-0.0337) q[6], q[1];\ncrz(-0.1522) q[6], q[0];\ncrz(-0.0263) q[5], q[8];\ncrz(0.1345) q[5], q[7];\ncrz(-0.0884) q[5], q[6];\ncrz(-0.0938) q[5], q[4];\ncrz(-0.155) q[5], q[3];\ncrz(-0.0385) q[5], q[2];\ncrz(-0.0337) q[5], q[1];\ncrz(-0.1522) q[5], q[0];\ncrz(-0.0263) q[4], q[8];\ncrz(0.1345) q[4], q[7];\ncrz(-0.0884) q[4], q[6];\ncrz(-0.1566) q[4], q[5];\ncrz(-0.155) q[4], q[3];\ncrz(-0.0385) q[4], q[2];\ncrz(-0.0337) q[4], q[1];\ncrz(-0.1522) q[4], q[0];\ncrz(-0.0263) q[3], q[8];\ncrz(0.1345) q[3], q[7];\ncrz(-0.0884) q[3], q[6];\ncrz(-0.1566) q[3], q[5];\ncrz(-0.0938) q[3], q[4];\ncrz(-0.0385) q[3], q[2];\ncrz(-0.0337) q[3], q[1];\ncrz(-0.1522) q[3], q[0];\ncrz(-0.0263) q[2], q[8];\ncrz(0.1345) q[2], q[7];\ncrz(-0.0884) q[2], q[6];\ncrz(-0.1566) q[2], q[5];\ncrz(-0.0938) q[2], q[4];\ncrz(-0.155) q[2], q[3];\ncrz(-0.0337) q[2], q[1];\ncrz(-0.1522) q[2], q[0];\ncrz(-0.0263) q[1], q[8];\ncrz(0.1345) q[1], q[7];\ncrz(-0.0884) q[1], q[6];\ncrz(-0.1566) q[1], q[5];\ncrz(-0.0938) q[1], q[4];\ncrz(-0.155) q[1], q[3];\ncrz(-0.0385) q[1], q[2];\ncrz(-0.1522) q[1], q[0];\ncrz(-0.0263) q[0], q[8];\ncrz(0.1345) q[0], q[7];\ncrz(-0.0884) q[0], q[6];\ncrz(-0.1566) q[0], q[5];\ncrz(-0.0938) q[0], q[4];\ncrz(-0.155) q[0], q[3];\ncrz(-0.0385) q[0], q[2];\ncrz(-0.0337) q[0], q[1];\nrx(0.0446) q[0];\nrz(0.0017) q[0];\nrx(0.3914) q[1];\nrz(0.0043) q[1];\nrx(0.3885) q[2];\nrz(0.0059) q[2];\nrx(0.1812) q[3];\nrz(0.0001) q[3];\nrx(0.3914) q[4];\nrz(0.0009) q[4];\nrx(0.111) q[5];\nrz(0.0018) q[5];\nrx(0.3892) q[6];\nrz(0.0001) q[6];\nrx(-0.0022) q[7];\nrz(0.0046) q[7];\nrx(0.3888) q[8];\nrz(0.002) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[7];\ncrz(x19) q[8], q[6];\ncrz(x20) q[8], q[5];\ncrz(x21) q[8], q[4];\ncrz(x22) q[8], q[3];\ncrz(x23) q[8], q[2];\ncrz(x21) q[8], q[1];\ncrz(x24) q[8], q[0];\ncrz(x25) q[7], q[8];\ncrz(x19) q[7], q[6];\ncrz(x20) q[7], q[5];\ncrz(x21) q[7], q[4];\ncrz(x22) q[7], q[3];\ncrz(x23) q[7], q[2];\ncrz(x21) q[7], q[1];\ncrz(x24) q[7], q[0];\ncrz(x25) q[6], q[8];\ncrz(x18) q[6], q[7];\ncrz(x20) q[6], q[5];\ncrz(x21) q[6], q[4];\ncrz(x22) q[6], q[3];\ncrz(x23) q[6], q[2];\ncrz(x21) q[6], q[1];\ncrz(x24) q[6], q[0];\ncrz(x25) q[5], q[8];\ncrz(x18) q[5], q[7];\ncrz(x19) q[5], q[6];\ncrz(x21) q[5], q[4];\ncrz(x22) q[5], q[3];\ncrz(x23) q[5], q[2];\ncrz(x21) q[5], q[1];\ncrz(x24) q[5], q[0];\ncrz(x25) q[4], q[8];\ncrz(x18) q[4], q[7];\ncrz(x19) q[4], q[6];\ncrz(x20) q[4], q[5];\ncrz(x22) q[4], q[3];\ncrz(x23) q[4], q[2];\ncrz(x21) q[4], q[1];\ncrz(x24) q[4], q[0];\ncrz(x25) q[3], q[8];\ncrz(x18) q[3], q[7];\ncrz(x19) q[3], q[6];\ncrz(x20) q[3], q[5];\ncrz(x21) q[3], q[4];\ncrz(x23) q[3], q[2];\ncrz(x21) q[3], q[1];\ncrz(x24) q[3], q[0];\ncrz(x25) q[2], q[8];\ncrz(x18) q[2], q[7];\ncrz(x19) q[2], q[6];\ncrz(x20) q[2], q[5];\ncrz(x21) q[2], q[4];\ncrz(x22) q[2], q[3];\ncrz(x21) q[2], q[1];\ncrz(x24) q[2], q[0];\ncrz(x25) q[1], q[8];\ncrz(x18) q[1], q[7];\ncrz(x19) q[1], q[6];\ncrz(x20) q[1], q[5];\ncrz(x21) q[1], q[4];\ncrz(x22) q[1], q[3];\ncrz(x23) q[1], q[2];\ncrz(x24) q[1], q[0];\ncrz(x25) q[0], q[8];\ncrz(x18) q[0], q[7];\ncrz(x19) q[0], q[6];\ncrz(x20) q[0], q[5];\ncrz(x21) q[0], q[4];\ncrz(x22) q[0], q[3];\ncrz(x23) q[0], q[2];\ncrz(x21) q[0], q[1];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x36) q[5];\nrz(x37) q[5];\nrx(x38) q[6];\nrz(x39) q[6];\nrx(x40) q[7];\nrz(x41) q[7];\nrx(x42) q[8];\nrz(x43) q[8];\nrx(x44) q[0];\nrz(x45) q[0];\nrx(x46) q[1];\nrz(x47) q[1];\nrx(x48) q[2];\nrz(x49) q[2];\nrx(x50) q[3];\nrz(x51) q[3];\nrx(x52) q[4];\nrz(x53) q[4];\nrx(x54) q[5];\nrz(x55) q[5];\nrx(x56) q[6];\nrz(x57) q[6];\nrx(x58) q[7];\nrz(x59) q[7];\nrx(x60) q[8];\nrz(x61) q[8];\ncrz(x62) q[8], q[7];\ncrz(x63) q[8], q[6];\ncrz(x64) q[8], q[5];\ncrz(x65) q[8], q[4];\ncrz(x66) q[8], q[3];\ncrz(x67) q[8], q[2];\ncrz(x68) q[8], q[1];\ncrz(x69) q[8], q[0];\ncrz(x70) q[7], q[8];\ncrz(x63) q[7], q[6];\ncrz(x64) q[7], q[5];\ncrz(x65) q[7], q[4];\ncrz(x66) q[7], q[3];\ncrz(x67) q[7], q[2];\ncrz(x68) q[7], q[1];\ncrz(x69) q[7], q[0];\ncrz(x70) q[6], q[8];\ncrz(x62) q[6], q[7];\ncrz(x64) q[6], q[5];\ncrz(x65) q[6], q[4];\ncrz(x66) q[6], q[3];\ncrz(x67) q[6], q[2];\ncrz(x68) q[6], q[1];\ncrz(x69) q[6], q[0];\ncrz(x70) q[5], q[8];\ncrz(x62) q[5], q[7];\ncrz(x63) q[5], q[6];\ncrz(x65) q[5], q[4];\ncrz(x66) q[5], q[3];\ncrz(x67) q[5], q[2];\ncrz(x68) q[5], q[1];\ncrz(x69) q[5], q[0];\ncrz(x70) q[4], q[8];\ncrz(x62) q[4], q[7];\ncrz(x63) q[4], q[6];\ncrz(x64) q[4], q[5];\ncrz(x66) q[4], q[3];\ncrz(x67) q[4], q[2];\ncrz(x68) q[4], q[1];\ncrz(x69) q[4], q[0];\ncrz(x70) q[3], q[8];\ncrz(x62) q[3], q[7];\ncrz(x63) q[3], q[6];\ncrz(x64) q[3], q[5];\ncrz(x65) q[3], q[4];\ncrz(x67) q[3], q[2];\ncrz(x68) q[3], q[1];\ncrz(x69) q[3], q[0];\ncrz(x70) q[2], q[8];\ncrz(x62) q[2], q[7];\ncrz(x63) q[2], q[6];\ncrz(x64) q[2], q[5];\ncrz(x65) q[2], q[4];\ncrz(x66) q[2], q[3];\ncrz(x68) q[2], q[1];\ncrz(x69) q[2], q[0];\ncrz(x70) q[1], q[8];\ncrz(x62) q[1], q[7];\ncrz(x63) q[1], q[6];\ncrz(x64) q[1], q[5];\ncrz(x65) q[1], q[4];\ncrz(x66) q[1], q[3];\ncrz(x67) q[1], q[2];\ncrz(x69) q[1], q[0];\ncrz(x70) q[0], q[8];\ncrz(x62) q[0], q[7];\ncrz(x63) q[0], q[6];\ncrz(x64) q[0], q[5];\ncrz(x65) q[0], q[4];\ncrz(x66) q[0], q[3];\ncrz(x67) q[0], q[2];\ncrz(x68) q[0], q[1];\nrx(x71) q[0];\nrz(x72) q[0];\nrx(x73) q[1];\nrz(x74) q[1];\nrx(x75) q[2];\nrz(x76) q[2];\nrx(x77) q[3];\nrz(x78) q[3];\nrx(x79) q[4];\nrz(x80) q[4];\nrx(x81) q[5];\nrz(x82) q[5];\nrx(x83) q[6];\nrz(x84) q[6];\nrx(x85) q[7];\nrz(x86) q[7];\nrx(x87) q[8];\nrz(x88) q[8];\nrx(x89) q[0];\nrz(x90) q[0];\nrx(x91) q[1];\nrz(x92) q[1];\nrx(x93) q[2];\nrz(x94) q[2];\nrx(x95) q[3];\nrz(x96) q[3];\nrx(x97) q[4];\nrz(x98) q[4];\nrx(x99) q[5];\nrz(x100) q[5];\nrx(x101) q[6];\nrz(x102) q[6];\nrx(x58) q[7];\nrz(x103) q[7];\nrx(x52) q[8];\nrz(x104) q[8];\ncrz(x105) q[8], q[7];\ncrz(x106) q[8], q[6];\ncrz(x107) q[8], q[5];\ncrz(x108) q[8], q[4];\ncrz(x109) q[8], q[3];\ncrz(x110) q[8], q[2];\ncrz(x111) q[8], q[1];\ncrz(x112) q[8], q[0];\ncrz(x113) q[7], q[8];\ncrz(x106) q[7], q[6];\ncrz(x107) q[7], q[5];\ncrz(x108) q[7], q[4];\ncrz(x109) q[7], q[3];\ncrz(x110) q[7], q[2];\ncrz(x111) q[7], q[1];\ncrz(x112) q[7], q[0];\ncrz(x113) q[6], q[8];\ncrz(x105) q[6], q[7];\ncrz(x107) q[6], q[5];\ncrz(x108) q[6], q[4];\ncrz(x109) q[6], q[3];\ncrz(x110) q[6], q[2];\ncrz(x111) q[6], q[1];\ncrz(x112) q[6], q[0];\ncrz(x113) q[5], q[8];\ncrz(x105) q[5], q[7];\ncrz(x106) q[5], q[6];\ncrz(x108) q[5], q[4];\ncrz(x109) q[5], q[3];\ncrz(x110) q[5], q[2];\ncrz(x111) q[5], q[1];\ncrz(x112) q[5], q[0];\ncrz(x113) q[4], q[8];\ncrz(x105) q[4], q[7];\ncrz(x106) q[4], q[6];\ncrz(x107) q[4], q[5];\ncrz(x109) q[4], q[3];\ncrz(x110) q[4], q[2];\ncrz(x111) q[4], q[1];\ncrz(x112) q[4], q[0];\ncrz(x113) q[3], q[8];\ncrz(x105) q[3], q[7];\ncrz(x106) q[3], q[6];\ncrz(x107) q[3], q[5];\ncrz(x108) q[3], q[4];\ncrz(x110) q[3], q[2];\ncrz(x111) q[3], q[1];\ncrz(x112) q[3], q[0];\ncrz(x113) q[2], q[8];\ncrz(x105) q[2], q[7];\ncrz(x106) q[2], q[6];\ncrz(x107) q[2], q[5];\ncrz(x108) q[2], q[4];\ncrz(x109) q[2], q[3];\ncrz(x111) q[2], q[1];\ncrz(x112) q[2], q[0];\ncrz(x113) q[1], q[8];\ncrz(x105) q[1], q[7];\ncrz(x106) q[1], q[6];\ncrz(x107) q[1], q[5];\ncrz(x108) q[1], q[4];\ncrz(x109) q[1], q[3];\ncrz(x110) q[1], q[2];\ncrz(x112) q[1], q[0];\ncrz(x113) q[0], q[8];\ncrz(x105) q[0], q[7];\ncrz(x106) q[0], q[6];\ncrz(x107) q[0], q[5];\ncrz(x108) q[0], q[4];\ncrz(x109) q[0], q[3];\ncrz(x110) q[0], q[2];\ncrz(x111) q[0], q[1];\nrx(x114) q[0];\nrz(x115) q[0];\nrx(x116) q[1];\nrz(x117) q[1];\nrx(x118) q[2];\nrz(x119) q[2];\nrx(x120) q[3];\nrz(x121) q[3];\nrx(x122) q[4];\nrz(x123) q[4];\nrx(x124) q[5];\nrz(x125) q[5];\nrx(x34) q[6];\nrz(x126) q[6];\nrx(x127) q[7];\nrz(x128) q[7];\nrx(x2) q[8];\nrz(x129) q[8];\nrx(x130) q[0];\nrz(x131) q[0];\nrx(x132) q[1];\nrz(x133) q[1];\nrx(x8) q[2];\nrz(x134) q[2];\nrx(x135) q[3];\nrz(x136) q[3];\nrx(x137) q[4];\nrz(x39) q[4];\nrx(x138) q[5];\nrz(x139) q[5];\nrx(x140) q[6];\nrz(x141) q[6];\nrx(x142) q[7];\nrz(x143) q[7];\nrx(x132) q[8];\nrz(x144) q[8];\ncrz(x145) q[8], q[7];\ncrz(x146) q[8], q[6];\ncrz(x147) q[8], q[5];\ncrz(x148) q[8], q[4];\ncrz(x149) q[8], q[3];\ncrz(x150) q[8], q[2];\ncrz(x151) q[8], q[1];\ncrz(x152) q[8], q[0];\ncrz(x153) q[7], q[8];\ncrz(x146) q[7], q[6];\ncrz(x147) q[7], q[5];\ncrz(x148) q[7], q[4];\ncrz(x149) q[7], q[3];\ncrz(x150) q[7], q[2];\ncrz(x151) q[7], q[1];\ncrz(x152) q[7], q[0];\ncrz(x153) q[6], q[8];\ncrz(x145) q[6], q[7];\ncrz(x147) q[6], q[5];\ncrz(x148) q[6], q[4];\ncrz(x149) q[6], q[3];\ncrz(x150) q[6], q[2];\ncrz(x151) q[6], q[1];\ncrz(x152) q[6], q[0];\ncrz(x153) q[5], q[8];\ncrz(x145) q[5], q[7];\ncrz(x146) q[5], q[6];\ncrz(x148) q[5], q[4];\ncrz(x149) q[5], q[3];\ncrz(x150) q[5], q[2];\ncrz(x151) q[5], q[1];\ncrz(x152) q[5], q[0];\ncrz(x153) q[4], q[8];\ncrz(x145) q[4], q[7];\ncrz(x146) q[4], q[6];\ncrz(x147) q[4], q[5];\ncrz(x149) q[4], q[3];\ncrz(x150) q[4], q[2];\ncrz(x151) q[4], q[1];\ncrz(x152) q[4], q[0];\ncrz(x153) q[3], q[8];\ncrz(x145) q[3], q[7];\ncrz(x146) q[3], q[6];\ncrz(x147) q[3], q[5];\ncrz(x148) q[3], q[4];\ncrz(x150) q[3], q[2];\ncrz(x151) q[3], q[1];\ncrz(x152) q[3], q[0];\ncrz(x153) q[2], q[8];\ncrz(x145) q[2], q[7];\ncrz(x146) q[2], q[6];\ncrz(x147) q[2], q[5];\ncrz(x148) q[2], q[4];\ncrz(x149) q[2], q[3];\ncrz(x151) q[2], q[1];\ncrz(x152) q[2], q[0];\ncrz(x153) q[1], q[8];\ncrz(x145) q[1], q[7];\ncrz(x146) q[1], q[6];\ncrz(x147) q[1], q[5];\ncrz(x148) q[1], q[4];\ncrz(x149) q[1], q[3];\ncrz(x150) q[1], q[2];\ncrz(x152) q[1], q[0];\ncrz(x153) q[0], q[8];\ncrz(x145) q[0], q[7];\ncrz(x146) q[0], q[6];\ncrz(x147) q[0], q[5];\ncrz(x148) q[0], q[4];\ncrz(x149) q[0], q[3];\ncrz(x150) q[0], q[2];\ncrz(x151) q[0], q[1];\nrx(x154) q[0];\nrz(x155) q[0];\nrx(x156) q[1];\nrz(x157) q[1];\nrx(x158) q[2];\nrz(x159) q[2];\nrx(x160) q[3];\nrz(x161) q[3];\nrx(x156) q[4];\nrz(x162) q[4];\nrx(x163) q[5];\nrz(x164) q[5];\nrx(x165) q[6];\nrz(x161) q[6];\nrx(x166) q[7];\nrz(x167) q[7];\nrx(x168) q[8];\nrz(x169) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8]}\"}","{\"circuits\": [], \"gradients\": []}"]
["72a8e59921ddbedcfbeaac73650c2f92","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [208, 209], \"expectation_value\": -5.0783519608744365, \"params\": [[[0.4068, -0.0023], [0.4051, -0.0019], [-0.006500000000000001, 0.196], [0.3982, -0.0007], [-0.0151, -0.2], [-0.0078000000000000005, -0.19390000000000002], [-0.0123, 0.1993], [0.3961, 0.0024000000000000002]], [[0.4002, -0.0022], [0.4102, -0.0019], [-0.0006000000000000001, 0.1967], [0.402, -0.0007], [-0.0067, -0.199], [-0.0001, -0.194], [-0.0151, 0.19920000000000002], [0.40130000000000005, 0.0024000000000000002]], [[0.4016, -0.0021000000000000003], [0.40750000000000003, -0.0019], [-0.0061, 0.1968], [0.40090000000000003, -0.0008], [-0.006900000000000001, -0.1981], [0.0006000000000000001, -0.1922], [-0.010100000000000001, 0.1998], [0.3996, 0.0024000000000000002]], [[0.4051, 0.005], [0.40840000000000004, 0.007500000000000001], [-0.0007, 0.003], [0.40440000000000004, 0.0055000000000000005], [-0.011600000000000001, 0.0068000000000000005], [-0.0077, 0.001], [-0.0159, 0.0098], [0.3967, 0.0033]]], \"bitstrings\": [\"00101111\", \"00101110\"], \"total_optimization_steps\": 40, \"probabilities\": [0.06979548456580238, 0.07305718053523597], \"optimization_time\": 22.253334760665894}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -2.0 * Z(6) + 0.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-7.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"00101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.4068) q[0];\nrz(-0.0023) q[0];\nrx(0.4051) q[1];\nrz(-0.0019) q[1];\nrx(-0.0065) q[2];\nrz(0.196) q[2];\nrx(0.3982) q[3];\nrz(-0.0007) q[3];\nrx(-0.0151) q[4];\nrz(-0.2) q[4];\nrx(-0.0078) q[5];\nrz(-0.1939) q[5];\nrx(-0.0123) q[6];\nrz(0.1993) q[6];\nrx(0.3961) q[7];\nrz(0.0024) q[7];\nrx(0.4002) q[0];\nrz(-0.0022) q[0];\nrx(0.4102) q[1];\nrz(-0.0019) q[1];\nrx(-0.0006) q[2];\nrz(0.1967) q[2];\nrx(0.402) q[3];\nrz(-0.0007) q[3];\nrx(-0.0067) q[4];\nrz(-0.199) q[4];\nrx(-0.0001) q[5];\nrz(-0.194) q[5];\nrx(-0.0151) q[6];\nrz(0.1992) q[6];\nrx(0.4013) q[7];\nrz(0.0024) q[7];\nrx(0.4016) q[0];\nrz(-0.0021) q[0];\nrx(0.4075) q[1];\nrz(-0.0019) q[1];\nrx(-0.0061) q[2];\nrz(0.1968) q[2];\nrx(0.4009) q[3];\nrz(-0.0008) q[3];\nrx(-0.0069) q[4];\nrz(-0.1981) q[4];\nrx(0.0006) q[5];\nrz(-0.1922) q[5];\nrx(-0.0101) q[6];\nrz(0.1998) q[6];\nrx(0.3996) q[7];\nrz(0.0024) q[7];\nrx(0.4051) q[0];\nrz(0.005) q[0];\nrx(0.4084) q[1];\nrz(0.0075) q[1];\nrx(-0.0007) q[2];\nrz(0.003) q[2];\nrx(0.4044) q[3];\nrz(0.0055) q[3];\nrx(-0.0116) q[4];\nrz(0.0068) q[4];\nrx(-0.0077) q[5];\nrz(0.001) q[5];\nrx(-0.0159) q[6];\nrz(0.0098) q[6];\nrx(0.3967) q[7];\nrz(0.0033) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[0];\nrz(x17) q[0];\nrx(x18) q[1];\nrz(x3) q[1];\nrx(x19) q[2];\nrz(x20) q[2];\nrx(x21) q[3];\nrz(x7) q[3];\nrx(x22) q[4];\nrz(x23) q[4];\nrx(x24) q[5];\nrz(x25) q[5];\nrx(x8) q[6];\nrz(x26) q[6];\nrx(x27) q[7];\nrz(x15) q[7];\nrx(x28) q[0];\nrz(x29) q[0];\nrx(x30) q[1];\nrz(x3) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x15) q[7];\nrx(x2) q[0];\nrz(x42) q[0];\nrx(x43) q[1];\nrz(x44) q[1];\nrx(x7) q[2];\nrz(x45) q[2];\nrx(x46) q[3];\nrz(x47) q[3];\nrx(x48) q[4];\nrz(x49) q[4];\nrx(x50) q[5];\nrz(x51) q[5];\nrx(x52) q[6];\nrz(x53) q[6];\nrx(x54) q[7];\nrz(x55) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["3a47978bfb976fd6248810daacdb4903","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 1}]}","{\"states\": [596, 594], \"expectation_value\": -2.35835935084949, \"params\": [[0.0656, 0.057800000000000004, 0.054200000000000005, 0.054400000000000004], [-0.0758, -0.06380000000000001, -0.054200000000000005, -0.0465]], \"bitstrings\": [\"0110101011\", \"0110101101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0025965130512605994, 0.0025965130512606003], \"optimization_time\": 11.689962148666382}","-0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + -0.16666666666666666 * (Z(1) @ Z(2)) + 1.0 * Z(3) + -2.0 * Z(9) + 1.0 * Z(4) + 2.0 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + 0.8333333333333334 * Z(0) + -0.3333333333333333 * Z(2) + -0.3333333333333333 * Z(1)",1,10,4,"{\"smallest_eigenvalues\": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"0111001101\", \"0111001011\", \"0110101101\", \"0110101011\", \"0110010001\", \"0110000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[9];\nrz(-0.0656) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(0.1312) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(-0.0656) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(0.0656) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(-0.1312) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(0.0656) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(-0.0656) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0656) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(-0.0656) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(0.0656) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(-0.0656) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(-0.0656) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(-0.0656) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(0.1312) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(-0.0656) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(-0.0656) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(0.0656) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.0656) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(-0.0219) q[1];\ncx q[2], q[1];\nrz(0.1312) q[3];\nrz(-0.2624) q[9];\nrz(0.1312) q[4];\nrz(0.2624) q[5];\nrz(0.0656) q[7];\nrz(0.0656) q[6];\nrz(0.0656) q[8];\nrz(0.1093) q[0];\nrz(-0.0437) q[2];\nrz(-0.0437) q[1];\nh q[0];\nrz(-0.1516) q[0];\nh q[0];\nh q[1];\nrz(-0.1516) q[1];\nh q[1];\nh q[2];\nrz(-0.1516) q[2];\nh q[2];\nh q[3];\nrz(-0.1516) q[3];\nh q[3];\nh q[4];\nrz(-0.1516) q[4];\nh q[4];\nh q[5];\nrz(-0.1516) q[5];\nh q[5];\nh q[6];\nrz(-0.1516) q[6];\nh q[6];\nh q[7];\nrz(-0.1516) q[7];\nh q[7];\nh q[8];\nrz(-0.1516) q[8];\nh q[8];\nh q[9];\nrz(-0.1516) q[9];\nh q[9];\ncx q[3], q[9];\nrz(-0.0578) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(0.1156) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(-0.0578) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(0.0578) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(-0.1156) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(0.0578) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(-0.0578) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0578) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(-0.0578) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(0.0578) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(-0.0578) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(-0.0578) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(-0.0578) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(0.1156) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(-0.0578) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(-0.0578) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(0.0578) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.0578) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(-0.0193) q[1];\ncx q[2], q[1];\nrz(0.1156) q[3];\nrz(-0.2312) q[9];\nrz(0.1156) q[4];\nrz(0.2312) q[5];\nrz(0.0578) q[7];\nrz(0.0578) q[6];\nrz(0.0578) q[8];\nrz(0.0963) q[0];\nrz(-0.0385) q[2];\nrz(-0.0385) q[1];\nh q[0];\nrz(-0.1276) q[0];\nh q[0];\nh q[1];\nrz(-0.1276) q[1];\nh q[1];\nh q[2];\nrz(-0.1276) q[2];\nh q[2];\nh q[3];\nrz(-0.1276) q[3];\nh q[3];\nh q[4];\nrz(-0.1276) q[4];\nh q[4];\nh q[5];\nrz(-0.1276) q[5];\nh q[5];\nh q[6];\nrz(-0.1276) q[6];\nh q[6];\nh q[7];\nrz(-0.1276) q[7];\nh q[7];\nh q[8];\nrz(-0.1276) q[8];\nh q[8];\nh q[9];\nrz(-0.1276) q[9];\nh q[9];\ncx q[3], q[9];\nrz(-0.0542) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(0.1084) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(-0.0542) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(0.0542) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(-0.1084) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(0.0542) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(-0.0542) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0542) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(-0.0542) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(0.0542) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(-0.0542) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(-0.0542) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(-0.0542) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(0.1084) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(-0.0542) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(-0.0542) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(0.0542) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.0542) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(-0.0181) q[1];\ncx q[2], q[1];\nrz(0.1084) q[3];\nrz(-0.2168) q[9];\nrz(0.1084) q[4];\nrz(0.2168) q[5];\nrz(0.0542) q[7];\nrz(0.0542) q[6];\nrz(0.0542) q[8];\nrz(0.0903) q[0];\nrz(-0.0361) q[2];\nrz(-0.0361) q[1];\nh q[0];\nrz(-0.1084) q[0];\nh q[0];\nh q[1];\nrz(-0.1084) q[1];\nh q[1];\nh q[2];\nrz(-0.1084) q[2];\nh q[2];\nh q[3];\nrz(-0.1084) q[3];\nh q[3];\nh q[4];\nrz(-0.1084) q[4];\nh q[4];\nh q[5];\nrz(-0.1084) q[5];\nh q[5];\nh q[6];\nrz(-0.1084) q[6];\nh q[6];\nh q[7];\nrz(-0.1084) q[7];\nh q[7];\nh q[8];\nrz(-0.1084) q[8];\nh q[8];\nh q[9];\nrz(-0.1084) q[9];\nh q[9];\ncx q[3], q[9];\nrz(-0.0544) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(0.1088) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(-0.0544) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(0.0544) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(-0.1088) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(0.0544) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(-0.0544) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0544) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(-0.0544) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(0.0544) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(-0.0544) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(-0.0544) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(-0.0544) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(0.1088) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(-0.0544) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(-0.0544) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(0.0544) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.0544) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(-0.0181) q[1];\ncx q[2], q[1];\nrz(0.1088) q[3];\nrz(-0.2176) q[9];\nrz(0.1088) q[4];\nrz(0.2176) q[5];\nrz(0.0544) q[7];\nrz(0.0544) q[6];\nrz(0.0544) q[8];\nrz(0.0907) q[0];\nrz(-0.0363) q[2];\nrz(-0.0363) q[1];\nh q[0];\nrz(-0.093) q[0];\nh q[0];\nh q[1];\nrz(-0.093) q[1];\nh q[1];\nh q[2];\nrz(-0.093) q[2];\nh q[2];\nh q[3];\nrz(-0.093) q[3];\nh q[3];\nh q[4];\nrz(-0.093) q[4];\nh q[4];\nh q[5];\nrz(-0.093) q[5];\nh q[5];\nh q[6];\nrz(-0.093) q[6];\nh q[6];\nh q[7];\nrz(-0.093) q[7];\nh q[7];\nh q[8];\nrz(-0.093) q[8];\nh q[8];\nh q[9];\nrz(-0.093) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[9];\nrz(x0) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(x0) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(x3) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(x0) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x1) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(x0) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(x4) q[1];\ncx q[2], q[1];\nrz(x1) q[3];\nrz(x5) q[9];\nrz(x1) q[4];\nrz(x6) q[5];\nrz(x2) q[7];\nrz(x2) q[6];\nrz(x2) q[8];\nrz(x7) q[0];\nrz(x8) q[2];\nrz(x8) q[1];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nh q[9];\nrz(x9) q[9];\nh q[9];\ncx q[3], q[9];\nrz(x10) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(x10) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(x12) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(x13) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(x12) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(x10) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(x10) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(x12) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x10) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(x10) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(x10) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x11) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x10) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(x10) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(x12) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x12) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(x14) q[1];\ncx q[2], q[1];\nrz(x11) q[3];\nrz(x15) q[9];\nrz(x11) q[4];\nrz(x16) q[5];\nrz(x12) q[7];\nrz(x12) q[6];\nrz(x12) q[8];\nrz(x17) q[0];\nrz(x18) q[2];\nrz(x18) q[1];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nh q[8];\nrz(x19) q[8];\nh q[8];\nh q[9];\nrz(x19) q[9];\nh q[9];\ncx q[3], q[9];\nrz(x20) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(x21) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(x20) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(x22) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(x23) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(x22) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(x20) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x20) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(x20) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(x22) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x20) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(x20) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(x20) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x21) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x20) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(x20) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(x22) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x22) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(x24) q[1];\ncx q[2], q[1];\nrz(x21) q[3];\nrz(x25) q[9];\nrz(x21) q[4];\nrz(x26) q[5];\nrz(x22) q[7];\nrz(x22) q[6];\nrz(x22) q[8];\nrz(x27) q[0];\nrz(x28) q[2];\nrz(x28) q[1];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nh q[8];\nrz(x23) q[8];\nh q[8];\nh q[9];\nrz(x23) q[9];\nh q[9];\ncx q[3], q[9];\nrz(x29) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(x30) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(x29) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(x31) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(x32) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(x31) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(x29) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x29) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(x29) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(x31) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x29) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(x29) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(x29) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x30) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x29) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(x29) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(x31) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x31) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(x24) q[1];\ncx q[2], q[1];\nrz(x30) q[3];\nrz(x33) q[9];\nrz(x30) q[4];\nrz(x34) q[5];\nrz(x31) q[7];\nrz(x31) q[6];\nrz(x31) q[8];\nrz(x35) q[0];\nrz(x36) q[2];\nrz(x36) q[1];\nh q[0];\nrz(x37) q[0];\nh q[0];\nh q[1];\nrz(x37) q[1];\nh q[1];\nh q[2];\nrz(x37) q[2];\nh q[2];\nh q[3];\nrz(x37) q[3];\nh q[3];\nh q[4];\nrz(x37) q[4];\nh q[4];\nh q[5];\nrz(x37) q[5];\nh q[5];\nh q[6];\nrz(x37) q[6];\nh q[6];\nh q[7];\nrz(x37) q[7];\nh q[7];\nh q[8];\nrz(x37) q[8];\nh q[8];\nh q[9];\nrz(x37) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["959f05abd479552f0696314b40ef5b74","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 8}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 8}]}","{\"states\": [148, 180], \"expectation_value\": -6.513741306796811, \"params\": [[-0.0223, 1.0535, 0.002, -0.7115, 1.3928, -0.033, 1.2152, 0.0018000000000000002, -0.018500000000000003], [0.0279, 1.0489, 0.0023, 0.7641, 1.0821, -0.008700000000000001, 0.8292, 0.0026000000000000003, 0.0334], [0.0281, 1.0483, 0.0019, -0.8061, 0.9536, 1.3591, 1.1066, 0.0024000000000000002, -0.0213]], \"bitstrings\": [\"101101011\", \"101001011\"], \"total_optimization_steps\": 140, \"probabilities\": [0.2663666741066372, 0.3447213670576543], \"optimization_time\": 15.76970887184143}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(6) + -1.5 * Z(8) + -1.5 * Z(7) + -2.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5)",10,9,2,"{\"smallest_eigenvalues\": [-7.0, -7.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"101100011\", \"101001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(-0.0223) q[0];\nry(1.0535) q[1];\nry(0.002) q[2];\nry(-0.7115) q[3];\nry(1.3928) q[4];\nry(-0.033) q[5];\nry(1.2152) q[6];\nry(0.0018) q[7];\nry(-0.0185) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(0.0279) q[0];\nry(1.0489) q[1];\nry(0.0023) q[2];\nry(0.7641) q[3];\nry(1.0821) q[4];\nry(-0.0087) q[5];\nry(0.8292) q[6];\nry(0.0026) q[7];\nry(0.0334) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(0.0281) q[0];\nry(1.0483) q[1];\nry(0.0019) q[2];\nry(-0.8061) q[3];\nry(0.9536) q[4];\nry(1.3591) q[5];\nry(1.1066) q[6];\nry(0.0024) q[7];\nry(-0.0213) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["501477738601b9a56009fb34d8274268","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 5, \"source\": 1, \"target\": 2}, {\"capacity\": 4, \"source\": 1, \"target\": 3}, {\"capacity\": 5, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 5}]}","{\"states\": [27, 31], \"expectation_value\": -4.891461038695923, \"params\": null, \"bitstrings\": [\"100100\", \"100000\"], \"total_optimization_steps\": 35, \"probabilities\": [0.3657088066685248, 0.36574086973498815], \"optimization_time\": 21.307427883148193}","-0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5)",1,6,3,"{\"smallest_eigenvalues\": [-5.25, -5.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.25, \"smallest_bitstrings\": [\"100000\", \"100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[1];\ncry(1.5708) q[1], q[2];\ncry(1.4449) q[5], q[4];\ncry(1.0462) q[4], q[5];\ncry(-1.2965) q[5], q[0];\ncry(-0.2312) q[4], q[0];\nry(0.2588) q[0];\nry(0.0977) q[5];\nry(0.1418) q[4];\ncry(0.0503) q[1], q[5];\ncry(-0.0882) q[0], q[5];\ncry(0.0152) q[2], q[5];\ncry(0.022) q[1], q[4];\ncry(0.0202) q[0], q[4];\ncry(0.0083) q[3], q[5];\ncry(0.0077) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":18218,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.4449) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.4449) q[5], q[4];\\ncry(1.0462) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.4449) q[5], q[4];\\ncry(1.0462) q[4], q[5];\\ncry(-1.2965) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.4449) q[5], q[4];\\ncry(1.0462) q[4], q[5];\\ncry(-1.2965) q[5], q[0];\\ncry(-0.2312) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.4449) q[5], q[4];\\ncry(1.0462) q[4], q[5];\\ncry(-1.2965) q[5], q[0];\\ncry(-0.2312) q[4], q[0];\\nry(0.2588) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.4449) q[5], q[4];\\ncry(1.0462) q[4], q[5];\\ncry(-1.2965) q[5], q[0];\\ncry(-0.2312) q[4], q[0];\\nry(0.2588) q[0];\\nry(0.0977) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.4449) q[5], q[4];\\ncry(1.0462) q[4], q[5];\\ncry(-1.2965) q[5], q[0];\\ncry(-0.2312) q[4], q[0];\\nry(0.2588) q[0];\\nry(0.0977) q[5];\\nry(0.1418) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.4449) q[5], q[4];\\ncry(1.0462) q[4], q[5];\\ncry(-1.2965) q[5], q[0];\\ncry(-0.2312) q[4], q[0];\\nry(0.2588) q[0];\\nry(0.0977) q[5];\\nry(0.1418) q[4];\\ncry(0.0503) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.5708) q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.4449) q[5], q[4];\\ncry(1.0462) q[4], q[5];\\ncry(-1.2965) q[5], q[0];\\ncry(-0.2312) q[4], q[0];\\nry("}}]
["eedfffae46889ceabb09be93decddfde","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [117, 116], \"expectation_value\": -2.923597125300558, \"params\": [0.0001, 0.6259, 0.7163, 0.2745, 0.9921000000000001, -0.0001, 0.9987, 0.0032, 0.0032, -0.6583, 0.9113, -0.0054, 0.0044, 0.6416000000000001, 0.4665, 0.5345, 0.0034000000000000002, 0.6345000000000001, 0.7113, 0.37, 0.9939, 0.0013000000000000002, 1.0031, 0.003, 0.0018000000000000002, -0.6970000000000001, 0.9173, -0.0006000000000000001, 0.0032, 0.6493, 0.4549, 0.6783, 0.0008, 0.009000000000000001, 0.7093, 0.008700000000000001, 0.9945, 0.0089, 0.9949, 0.0037, 0.0033, 0.0061, 0.917, 0.0023, 0.0014, 0.0024000000000000002, 0.45330000000000004, 0.006200000000000001, 0.5198, 0.0094, 0.0041, 0.0155, -0.0012000000000000001, 0.0001, 0.0, 0.6615, 0.0017000000000000001, 0.006500000000000001, 0.0056, -0.6222, 0.3098, 0.0011, 0.0088, 0.007200000000000001, 0.5823, 0.0076, 0.0039000000000000003, -0.0746, 0.0004, 0.0061, 0.0007, 0.6807000000000001, -0.0082, 0.0014, 0.0005, -0.4707, 0.3925, 0.008400000000000001, 0.0061, 0.0048000000000000004, 0.009600000000000001, 0.009600000000000001, 0.0051, 0.0015, 0.0053, 0.0038, 0.0073, 0.0041, 0.0002, 0.0081, 0.0079, 0.0064, 0.0082, 0.0004, 0.0076, 0.0045000000000000005], \"bitstrings\": [\"10001010\", \"10001011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.25810780994544313, 0.47127679507029224], \"optimization_time\": 8.70043134689331}","0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(7) @ Z(1)) + -0.5 * Z(0) + -0.25 * Z(1) + -0.125 * Z(2) + -0.125 * Z(3) + -0.625 * Z(4) + 0.125 * Z(5) + -0.5 * Z(6) + -0.25 * Z(7)",16,8,3,"{\"smallest_eigenvalues\": [-3.375, -3.375, -3.375, -3.375, -3.375], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -2.375, \"smallest_bitstrings\": [\"11001010\", \"01101010\", \"10011001\", \"10001110\", \"10001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0001) q[0];\nrz(0.6259) q[0];\nrx(0.7163) q[1];\nrz(0.2745) q[1];\nrx(0.9921) q[2];\nrz(-0.0001) q[2];\nrx(0.9987) q[3];\nrz(0.0032) q[3];\nrx(0.0032) q[4];\nrz(-0.6583) q[4];\nrx(0.9113) q[5];\nrz(-0.0054) q[5];\nrx(0.0044) q[6];\nrz(0.6416) q[6];\nrx(0.4665) q[7];\nrz(0.5345) q[7];\ncrz(0.5198) q[1], q[0];\ncrz(-0.0012) q[3], q[2];\ncrz(0.0017) q[5], q[4];\ncrz(0.3098) q[7], q[6];\ncrz(0.0155) q[2], q[1];\ncrz(0.6615) q[4], q[3];\ncrz(-0.6222) q[6], q[5];\nrx(0.0034) q[0];\nrz(0.6345) q[0];\nrx(0.7113) q[1];\nrz(0.37) q[1];\nrx(0.9939) q[2];\nrz(0.0013) q[2];\nrx(1.0031) q[3];\nrz(0.003) q[3];\nrx(0.0018) q[4];\nrz(-0.697) q[4];\nrx(0.9173) q[5];\nrz(-0.0006) q[5];\nrx(0.0032) q[6];\nrz(0.6493) q[6];\nrx(0.4549) q[7];\nrz(0.6783) q[7];\ncrz(0.5823) q[1], q[0];\ncrz(0.0004) q[3], q[2];\ncrz(-0.0082) q[5], q[4];\ncrz(0.3925) q[7], q[6];\ncrz(-0.0746) q[2], q[1];\ncrz(0.6807) q[4], q[3];\ncrz(-0.4707) q[6], q[5];\nrx(0.0008) q[0];\nrz(0.009) q[0];\nrx(0.7093) q[1];\nrz(0.0087) q[1];\nrx(0.9945) q[2];\nrz(0.0089) q[2];\nrx(0.9949) q[3];\nrz(0.0037) q[3];\nrx(0.0033) q[4];\nrz(0.0061) q[4];\nrx(0.917) q[5];\nrz(0.0023) q[5];\nrx(0.0014) q[6];\nrz(0.0024) q[6];\nrx(0.4533) q[7];\nrz(0.0062) q[7];\ncrz(0.0096) q[1], q[0];\ncrz(0.0053) q[3], q[2];\ncrz(0.0002) q[5], q[4];\ncrz(0.0082) q[7], q[6];\ncrz(0.0015) q[2], q[1];\ncrz(0.0041) q[4], q[3];\ncrz(0.0064) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\ncrz(x15) q[1], q[0];\ncrz(x16) q[3], q[2];\ncrz(x17) q[5], q[4];\ncrz(x18) q[7], q[6];\ncrz(x19) q[2], q[1];\ncrz(x20) q[4], q[3];\ncrz(x21) q[6], q[5];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nrx(x7) q[6];\nrz(x34) q[6];\nrx(x35) q[7];\nrz(x36) q[7];\ncrz(x37) q[1], q[0];\ncrz(x38) q[3], q[2];\ncrz(x39) q[5], q[4];\ncrz(x40) q[7], q[6];\ncrz(x41) q[2], q[1];\ncrz(x42) q[4], q[3];\ncrz(x43) q[6], q[5];\nrx(x44) q[0];\nrz(x45) q[0];\nrx(x46) q[1];\nrz(x47) q[1];\nrx(x48) q[2];\nrz(x49) q[2];\nrx(x50) q[3];\nrz(x51) q[3];\nrx(x52) q[4];\nrz(x53) q[4];\nrx(x54) q[5];\nrz(x55) q[5];\nrx(x56) q[6];\nrz(x57) q[6];\nrx(x58) q[7];\nrz(x59) q[7];\ncrz(x60) q[1], q[0];\ncrz(x61) q[3], q[2];\ncrz(x62) q[5], q[4];\ncrz(x63) q[7], q[6];\ncrz(x64) q[2], q[1];\ncrz(x65) q[4], q[3];\ncrz(x66) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["840e9b519c64e36f0d06f3fa0fe64361","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 1, \"target\": 2}, {\"weight\": 17, \"source\": 1, \"target\": 4}, {\"weight\": 14, \"source\": 1, \"target\": 3}, {\"weight\": 12, \"source\": 1, \"target\": 5}, {\"weight\": 7, \"source\": 2, \"target\": 3}, {\"weight\": 13, \"source\": 2, \"target\": 7}, {\"weight\": 10, \"source\": 4, \"target\": 5}, {\"weight\": 7, \"source\": 6, \"target\": 7}]}","{\"states\": [500, 244], \"expectation_value\": -38.88016221735804, \"params\": [1.5467, 0.0066, 2.5039000000000002, 0.0046, 1.6836, 0.0091, 2.4934000000000003, 0.0026000000000000003, 2.5057, 0.0037, 0.8792000000000001, 0.0034000000000000002, 2.4958, 0.0031000000000000003, -0.0028, 0.0022, -0.0025, 0.0007, 0.0055000000000000005, 0.0058000000000000005, 0.0032, 0.0004, 0.0051, 0.0006000000000000001, 0.0085, 0.0095], \"bitstrings\": [\"000001011\", \"100001011\"], \"total_optimization_steps\": 250, \"probabilities\": [0.1461530542697345, 0.15336893572913757], \"optimization_time\": 5.128528833389282}","5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(8) @ Z(6)) + 13.5 * Z(1) + 8.5 * Z(0) + 9.0 * Z(4) + 6.5 * Z(3) + 8.0 * Z(2) + 1.5 * Z(5) + -1.5 * Z(6) + -5.0 * Z(7) + -8.5 * Z(8)",3,9,1,"{\"smallest_eigenvalues\": [-54.0, -54.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -51.0, \"smallest_bitstrings\": [\"100001011\", \"101000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(1.5467) q[0];\nrz(0.0066) q[0];\nrx(2.5039) q[1];\nrz(0.0046) q[1];\nrx(1.6836) q[2];\nrz(0.0091) q[2];\nrx(2.4934) q[3];\nrz(0.0026) q[3];\nrx(2.5057) q[4];\nrz(0.0037) q[4];\nrx(0.8792) q[5];\nrz(0.0034) q[5];\nrx(2.4958) q[6];\nrz(0.0031) q[6];\nrx(-0.0028) q[7];\nrz(0.0022) q[7];\nrx(-0.0025) q[8];\nrz(0.0007) q[8];\ncrz(0.0095) q[8], q[7];\ncrz(0.0085) q[7], q[6];\ncrz(0.0006) q[6], q[5];\ncrz(0.0051) q[5], q[4];\ncrz(0.0004) q[4], q[3];\ncrz(0.0032) q[3], q[2];\ncrz(0.0058) q[2], q[1];\ncrz(0.0055) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[7];\ncrz(x19) q[7], q[6];\ncrz(x20) q[6], q[5];\ncrz(x21) q[5], q[4];\ncrz(x22) q[4], q[3];\ncrz(x23) q[3], q[2];\ncrz(x24) q[2], q[1];\ncrz(x25) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 9}\"}","{\"circuits\": [], \"gradients\": []}"]
["-7340072773834545871","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[5, 6], [0, 8], [1, 3], [0, 3, 6], [4, 5], [0, 2, 5], [1, 5], [8, 5], [8, 2, 6], [4, 7]]}","{\"states\": [107, 362], \"expectation_value\": -3.4845965644794137, \"params\": null, \"bitstrings\": [\"110010100\", \"010010101\"], \"total_optimization_steps\": 69, \"probabilities\": [0.1046803232053917, 0.7953587606971263], \"optimization_time\": 132.13181352615356}","0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.33333333333333326 * Z(6) + 0.16666666666666607 * Z(5) + 0.33333333333333326 * Z(0) + 0.16666666666666652 * Z(8) + 0.0 * Z(1) + 0.16666666666666663 * Z(3) + 0.0 * Z(4) + 0.3333333333333333 * Z(2) + 0.0 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-3.8333333333333326], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5000000000000004, \"smallest_bitstrings\": [\"010010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.2292) q[2];\ncry(-1.0342) q[5], q[1];\nry(1.3116) q[3];\ncry(-0.5034) q[3], q[1];\nry(1.1541) q[5];\ncry(-1.3974) q[5], q[4];\ncry(-1.3922) q[0], q[8];\ncry(1.3901) q[5], q[7];\nry(-0.4359) q[1];\ncry(-1.2797) q[5], q[6];\nry(0.8455) q[0];\ncry(-0.5314) q[5], q[8];\ncry(0.1551) q[3], q[5];\ncry(0.4389) q[3], q[0];\ncry(-0.1837) q[7], q[4];\ncry(0.2413) q[5], q[3];\ncry(-0.2166) q[3], q[8];\ncry(0.2886) q[3], q[2];\ncry(-0.2348) q[7], q[6];\ncry(0.193) q[5], q[0];\nry(0.1728) q[7];\ncry(-0.0842) q[7], q[8];\nry(0.0437) q[4];\ncry(0.1642) q[1], q[6];\ncry(0.0614) q[7], q[0];\ncry(-0.0271) q[2], q[1];\ncry(0.0214) q[2], q[5];\ncry(0.1364) q[1], q[4];\ncry(-0.133) q[4], q[7];\ncry(0.1249) q[4], q[6];\ncry(0.1257) q[6], q[4];\ncry(-0.0299) q[2], q[8];\ncry(0.0448) q[7], q[2];\nry(0.0244) q[6];\ncry(-0.0485) q[1], q[3];\ncry(0.018) q[2], q[0];\nry(-0.0088) q[8];\ncry(-0.0021) q[7], q[5];\ncry(-0.0096) q[0], q[3];\ncry(-0.0361) q[6], q[3];\ncry(-0.0301) q[6], q[7];\ncry(-0.0262) q[1], q[5];\ncry(-0.0281) q[1], q[7];\ncry(-0.0244) q[8], q[0];\ncry(-0.0272) q[4], q[3];\ncry(-0.0072) q[2], q[7];\ncry(0.0089) q[7], q[3];\ncry(-0.0068) q[2], q[3];\ncry(-0.0172) q[6], q[0];\ncry(0.0146) q[8], q[4];\ncry(-0.0157) q[6], q[8];\ncry(0.0094) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":75740,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.2292) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.2292) q[2];\\ncry(-1.0342) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.2292) q[2];\\ncry(-1.0342) q[5], q[1];\\nry(1.3116) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.2292) q[2];\\ncry(-1.0342) q[5], q[1];\\nry(1.3116) q[3];\\ncry(-0.5034) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.2292) q[2];\\ncry(-1.0342) q[5], q[1];\\nry(1.3116) q[3];\\ncry(-0.5034) q[3], q[1];\\nry(1.1541) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.2292) q[2];\\ncry(-1.0342) q[5], q[1];\\nry(1.3116) q[3];\\ncry(-0.5034) q[3], q[1];\\nry(1.1541) q[5];\\ncry(-1.3974) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.2292) q[2];\\ncry(-1.0342) q[5], q[1];\\nry(1.3116) q[3];\\ncry(-0.5034) q[3], q[1];\\nry(1.1541) q[5];\\ncry(-1.3974) q[5], q[4];\\ncry(-1.3922) q[0], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.2292) q[2];\\ncry(-1.0342) q[5], q[1];\\nry(1.3116) q[3];\\ncry(-0.5034) q[3], q[1];\\nry(1.1541) q[5];\\ncry(-1.3974) q[5], q[4];\\ncry(-1.3922) q[0], q[8];\\ncry(1.3901) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.2292) q[2];\\ncry(-1.0342) q[5], q[1];\\nry(1.3116) q[3];\\ncry(-0.5034) q[3], q[1];\\nry(1.1541) q[5];\\ncry(-1.3974) q[5], q[4];\\ncry(-1.3922) q[0], q[8];\\ncry(1.3901) q[5], q[7];\\nry(-0.4359) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q["}}]
["5c8d577142051cc6578aa40532e6b2ab","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 8}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 8}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 3, \"source\": 6, \"target\": 4}, {\"capacity\": 1, \"source\": 6, \"target\": 8}, {\"capacity\": 3, \"source\": 7, \"target\": 8}]}","{\"states\": [416, 163], \"expectation_value\": -8.298144705025315, \"params\": null, \"bitstrings\": [\"001011111\", \"101011100\"], \"total_optimization_steps\": 66, \"probabilities\": [0.09194771836542422, 0.7579632659312541], \"optimization_time\": 94.93957710266113}","-0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(5) + 0.0 * Z(7) + 0.5 * Z(1) + -0.25 * Z(8) + -0.75 * Z(2) + 0.75 * Z(3) + 0.75 * Z(6)",1,9,3,"{\"smallest_eigenvalues\": [-8.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.75, \"smallest_bitstrings\": [\"101011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\ncry(-1.5681) q[8], q[0];\nry(0.8443) q[8];\nry(1.5185) q[1];\nry(-0.4061) q[0];\ncry(0.4511) q[1], q[8];\ncry(-0.243) q[1], q[0];\nry(1.3648) q[3];\ncry(1.3645) q[8], q[7];\ncry(1.2122) q[6], q[5];\ncry(-0.9235) q[8], q[5];\nry(-0.7571) q[6];\nry(-0.8073) q[5];\ncry(-0.5608) q[1], q[6];\ncry(-0.3466) q[1], q[5];\ncry(0.128) q[3], q[8];\ncry(-0.2048) q[8], q[6];\ncry(-0.6862) q[0], q[7];\ncry(0.1861) q[8], q[3];\ncry(-0.0387) q[7], q[0];\ncry(-0.0917) q[3], q[5];\ncry(0.0489) q[3], q[1];\ncry(-0.1049) q[0], q[8];\ncry(0.0203) q[3], q[0];\ncry(-0.0386) q[7], q[6];\ncry(0.0187) q[7], q[8];\nry(-0.0496) q[7];\ncry(-0.087) q[5], q[7];\ncry(0.0543) q[5], q[0];\ncry(0.039) q[0], q[6];\ncry(-0.0091) q[7], q[5];\ncry(0.0175) q[1], q[3];\ncry(0.0095) q[3], q[7];\ncry(-0.0117) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"source\": 0, \"sink\": 8}",{"$cut":{"chars":61172,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\ncry(-1.5681) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\ncry(-1.5681) q[8], q[0];\\nry(0.8443) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\ncry(-1.5681) q[8], q[0];\\nry(0.8443) q[8];\\nry(1.5185) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\ncry(-1.5681) q[8], q[0];\\nry(0.8443) q[8];\\nry(1.5185) q[1];\\nry(-0.4061) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\ncry(-1.5681) q[8], q[0];\\nry(0.8443) q[8];\\nry(1.5185) q[1];\\nry(-0.4061) q[0];\\ncry(0.4511) q[1], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\ncry(-1.5681) q[8], q[0];\\nry(0.8443) q[8];\\nry(1.5185) q[1];\\nry(-0.4061) q[0];\\ncry(0.4511) q[1], q[8];\\ncry(-0.243) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\ncry(-1.5681) q[8], q[0];\\nry(0.8443) q[8];\\nry(1.5185) q[1];\\nry(-0.4061) q[0];\\ncry(0.4511) q[1], q[8];\\ncry(-0.243) q[1], q[0];\\nry(1.3648) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninc"}}]
["fc2a0aab6aa71710f421b73642e2514f","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [12, 50], \"expectation_value\": -0.1151308287214994, \"params\": [[0.055], [-0.044500000000000005]], \"bitstrings\": [\"110011\", \"001101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01655371237273363, 0.016706844635856852], \"optimization_time\": 1.2141635417938232}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4)",1,6,1,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.055) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.055) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(0.055) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.055) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.055) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(0.055) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(0.055) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.055) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.055) q[4];\ncx q[5], q[4];\nrz(-0.11) q[2];\nrz(-0.11) q[0];\nrz(-0.165) q[3];\nrz(-0.165) q[5];\nrz(0) q[1];\nrz(-0.11) q[4];\nh q[0];\nrz(-0.089) q[0];\nh q[0];\nh q[1];\nrz(-0.089) q[1];\nh q[1];\nh q[2];\nrz(-0.089) q[2];\nh q[2];\nh q[3];\nrz(-0.089) q[3];\nh q[3];\nh q[4];\nrz(-0.089) q[4];\nh q[4];\nh q[5];\nrz(-0.089) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x3) q[1];\nrz(x1) q[4];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["d0cf443e701d6863baf077a7ace5620a","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 1}, {\"weight\": 9, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 3, \"target\": 8}, {\"weight\": 11, \"source\": 3, \"target\": 4}, {\"weight\": 19, \"source\": 3, \"target\": 5}, {\"weight\": 5, \"source\": 4, \"target\": 5}, {\"weight\": 16, \"source\": 5, \"target\": 6}, {\"weight\": 4, \"source\": 6, \"target\": 7}, {\"weight\": 20, \"source\": 7, \"target\": 9}, {\"weight\": 1, \"source\": 8, \"target\": 9}]}","{\"states\": [490, 234], \"expectation_value\": -91.49611097966526, \"params\": [0.0016, 0.3074, 0.0012000000000000001, 0.3078, 0.18330000000000002, 0.09670000000000001, 0.18860000000000002, 0.0941, 0.39530000000000004, 0.0181, 0.3937, 0.0263, 0.39230000000000004, 0.003, 0.38820000000000005, 0.0001, 0.3957, 0.0002, 0.3895, 0.0071, 0.1705, 0.1432, 0.1676, 0.1434, 0.39430000000000004, 0.0167, 0.3924, 0.038200000000000005, 0.0901, 0.1761, 0.0886, 0.1927, 0.3985, 0.0196, 0.39580000000000004, 0.055, 0.0323, 0.1958, 0.0262, 0.19490000000000002, 0.0019, 0.3074, 0.0029000000000000002, 0.30920000000000003, 0.1809, 0.0941, 0.18380000000000002, 0.09280000000000001, 0.39230000000000004, 0.0207, 0.38770000000000004, 0.021400000000000002, 0.38870000000000005, 0.0016, 0.394, -0.0008, 0.39080000000000004, 0.0024000000000000002, 0.3896, 0.003, 0.1686, 0.1428, 0.168, 0.14200000000000002, 0.3942, 0.0297, 0.3902, 0.0368, 0.08510000000000001, 0.1975, 0.08360000000000001, 0.19340000000000002, 0.39130000000000004, 0.0363, 0.39330000000000004, 0.058600000000000006, 0.0247, 0.198, 0.0309, 0.1965, 0.0073, 0.31170000000000003, 0.0059, 0.3124, 0.1841, 0.098, 0.1839, 0.095, 0.3901, 0.0211, 0.39430000000000004, 0.027, 0.38530000000000003, -0.0005, 0.38570000000000004, -0.0001, 0.39530000000000004, -0.001, 0.39180000000000004, -0.0038, 0.1691, 0.1421, 0.16790000000000002, 0.1383, 0.3956, 0.027800000000000002, 0.39680000000000004, 0.0279, 0.0887, 0.1753, 0.0838, 0.17350000000000002, 0.39830000000000004, 0.0358, 0.3946, 0.0551, 0.029900000000000003, 0.19890000000000002, 0.024, 0.195, -0.0001, 0.304, -0.00030000000000000003, 0.0057, 0.1904, 0.0999, 0.1837, 0.004200000000000001, 0.3871, 0.013000000000000001, 0.3916, 0.0047, 0.38880000000000003, -0.0039000000000000003, 0.387, 0.0032, 0.3861, -0.0098, 0.39590000000000003, 0.0033, 0.1723, 0.1381, 0.17300000000000001, 0.006, 0.39030000000000004, 0.0184, 0.3919, 0.0076, 0.08940000000000001, 0.1766, 0.08600000000000001, 0.008400000000000001, 0.3919, 0.020300000000000002, 0.3926, 0.0043, 0.0308, 0.1962, 0.0328, 0.0056, -0.08660000000000001, 0.0942, 0.004200000000000001, 0.0034000000000000002, -0.1315, 0.139, -0.14600000000000002, 0.1774, -0.137, 0.0056, -0.0901, 0.0892, 0.0014, -0.0035, -0.1221, 0.1487, -0.0077, 0.20170000000000002, -0.0076, 0.0007, -0.0843, 0.10890000000000001, -0.0041, -0.0079, 0.0402, 0.136, 0.1842, 0.20270000000000002, 0.2003, 0.01, -0.08370000000000001, 0.0009000000000000001, 0.0166, 0.005200000000000001, 0.1033, 0.008700000000000001, 0.1643, 0.002, 0.1957, 0.0067], \"bitstrings\": [\"1000010101\", \"1100010101\"], \"total_optimization_steps\": 40, \"probabilities\": [0.2491712932217342, 0.3665818280996406], \"optimization_time\": 53.34403038024902}","5.5 * (Z(1) @ Z(4)) + 5.5 * (Z(2) @ Z(4)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 17.0 * Z(4) + 10.0 * Z(1) + 16.5 * Z(2) + 26.0 * Z(3) + 8.0 * Z(5) + 13.5 * Z(6) + 2.0 * Z(7) + 10.0 * Z(8) + 0.5 * Z(9) + -8.5 * Z(0)",7,10,4,"{\"smallest_eigenvalues\": [-104.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -91.0, \"smallest_bitstrings\": [\"1100010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.0016) q[0];\nrz(0.3074) q[0];\nrx(0.1833) q[1];\nrz(0.0967) q[1];\nrx(0.3953) q[2];\nrz(0.0181) q[2];\nrx(0.3923) q[3];\nrz(0.003) q[3];\nrx(0.3957) q[4];\nrz(0.0002) q[4];\nrx(0.1705) q[5];\nrz(0.1432) q[5];\nrx(0.3943) q[6];\nrz(0.0167) q[6];\nrx(0.0901) q[7];\nrz(0.1761) q[7];\nrx(0.3985) q[8];\nrz(0.0196) q[8];\nrx(0.0323) q[9];\nrz(0.1958) q[9];\ncrz(-0.0866) q[1], q[0];\ncrz(0.0042) q[3], q[2];\ncrz(-0.1315) q[5], q[4];\ncrz(-0.146) q[7], q[6];\ncrz(-0.137) q[9], q[8];\nrx(0.0012) q[0];\nrz(0.3078) q[0];\nrx(0.1886) q[1];\nrz(0.0941) q[1];\nrx(0.3937) q[2];\nrz(0.0263) q[2];\nrx(0.3882) q[3];\nrz(0.0001) q[3];\nrx(0.3895) q[4];\nrz(0.0071) q[4];\nrx(0.1676) q[5];\nrz(0.1434) q[5];\nrx(0.3924) q[6];\nrz(0.0382) q[6];\nrx(0.0886) q[7];\nrz(0.1927) q[7];\nrx(0.3958) q[8];\nrz(0.055) q[8];\nrx(0.0262) q[9];\nrz(0.1949) q[9];\ncrz(0.0942) q[2], q[1];\ncrz(0.0034) q[4], q[3];\ncrz(0.139) q[6], q[5];\ncrz(0.1774) q[8], q[7];\nrx(0.0019) q[0];\nrz(0.3074) q[0];\nrx(0.1809) q[1];\nrz(0.0941) q[1];\nrx(0.3923) q[2];\nrz(0.0207) q[2];\nrx(0.3887) q[3];\nrz(0.0016) q[3];\nrx(0.3908) q[4];\nrz(0.0024) q[4];\nrx(0.1686) q[5];\nrz(0.1428) q[5];\nrx(0.3942) q[6];\nrz(0.0297) q[6];\nrx(0.0851) q[7];\nrz(0.1975) q[7];\nrx(0.3913) q[8];\nrz(0.0363) q[8];\nrx(0.0247) q[9];\nrz(0.198) q[9];\ncrz(-0.0901) q[1], q[0];\ncrz(0.0014) q[3], q[2];\ncrz(-0.1221) q[5], q[4];\ncrz(-0.0077) q[7], q[6];\ncrz(-0.0076) q[9], q[8];\nrx(0.0029) q[0];\nrz(0.3092) q[0];\nrx(0.1838) q[1];\nrz(0.0928) q[1];\nrx(0.3877) q[2];\nrz(0.0214) q[2];\nrx(0.394) q[3];\nrz(-0.0008) q[3];\nrx(0.3896) q[4];\nrz(0.003) q[4];\nrx(0.168) q[5];\nrz(0.142) q[5];\nrx(0.3902) q[6];\nrz(0.0368) q[6];\nrx(0.0836) q[7];\nrz(0.1934) q[7];\nrx(0.3933) q[8];\nrz(0.0586) q[8];\nrx(0.0309) q[9];\nrz(0.1965) q[9];\ncrz(0.0892) q[2], q[1];\ncrz(-0.0035) q[4], q[3];\ncrz(0.1487) q[6], q[5];\ncrz(0.2017) q[8], q[7];\nrx(0.0073) q[0];\nrz(0.3117) q[0];\nrx(0.1841) q[1];\nrz(0.098) q[1];\nrx(0.3901) q[2];\nrz(0.0211) q[2];\nrx(0.3853) q[3];\nrz(-0.0005) q[3];\nrx(0.3953) q[4];\nrz(-0.001) q[4];\nrx(0.1691) q[5];\nrz(0.1421) q[5];\nrx(0.3956) q[6];\nrz(0.0278) q[6];\nrx(0.0887) q[7];\nrz(0.1753) q[7];\nrx(0.3983) q[8];\nrz(0.0358) q[8];\nrx(0.0299) q[9];\nrz(0.1989) q[9];\ncrz(-0.0843) q[1], q[0];\ncrz(-0.0041) q[3], q[2];\ncrz(0.0402) q[5], q[4];\ncrz(0.1842) q[7], q[6];\ncrz(0.2003) q[9], q[8];\nrx(0.0059) q[0];\nrz(0.3124) q[0];\nrx(0.1839) q[1];\nrz(0.095) q[1];\nrx(0.3943) q[2];\nrz(0.027) q[2];\nrx(0.3857) q[3];\nrz(-0.0001) q[3];\nrx(0.3918) q[4];\nrz(-0.0038) q[4];\nrx(0.1679) q[5];\nrz(0.1383) q[5];\nrx(0.3968) q[6];\nrz(0.0279) q[6];\nrx(0.0838) q[7];\nrz(0.1735) q[7];\nrx(0.3946) q[8];\nrz(0.0551) q[8];\nrx(0.024) q[9];\nrz(0.195) q[9];\ncrz(0.1089) q[2], q[1];\ncrz(-0.0079) q[4], q[3];\ncrz(0.136) q[6], q[5];\ncrz(0.2027) q[8], q[7];\nrx(-0.0001) q[0];\nrz(0.304) q[0];\nrx(0.1904) q[1];\nrz(0.0999) q[1];\nrx(0.3871) q[2];\nrz(0.013) q[2];\nrx(0.3888) q[3];\nrz(-0.0039) q[3];\nrx(0.3861) q[4];\nrz(-0.0098) q[4];\nrx(0.1723) q[5];\nrz(0.1381) q[5];\nrx(0.3903) q[6];\nrz(0.0184) q[6];\nrx(0.0894) q[7];\nrz(0.1766) q[7];\nrx(0.3919) q[8];\nrz(0.0203) q[8];\nrx(0.0308) q[9];\nrz(0.1962) q[9];\ncrz(-0.0837) q[1], q[0];\ncrz(0.0166) q[3], q[2];\ncrz(0.1033) q[5], q[4];\ncrz(0.1643) q[7], q[6];\ncrz(0.1957) q[9], q[8];\nrx(-0.0003) q[0];\nrz(0.0057) q[0];\nrx(0.1837) q[1];\nrz(0.0042) q[1];\nrx(0.3916) q[2];\nrz(0.0047) q[2];\nrx(0.387) q[3];\nrz(0.0032) q[3];\nrx(0.3959) q[4];\nrz(0.0033) q[4];\nrx(0.173) q[5];\nrz(0.006) q[5];\nrx(0.3919) q[6];\nrz(0.0076) q[6];\nrx(0.086) q[7];\nrz(0.0084) q[7];\nrx(0.3926) q[8];\nrz(0.0043) q[8];\nrx(0.0328) q[9];\nrz(0.0056) q[9];\ncrz(0.0009) q[2], q[1];\ncrz(0.0052) q[4], q[3];\ncrz(0.0087) q[6], q[5];\ncrz(0.002) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x179;\ninput float[64] x18;\ninput float[64] x180;\ninput float[64] x181;\ninput float[64] x182;\ninput float[64] x183;\ninput float[64] x184;\ninput float[64] x185;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[1], q[0];\ncrz(x21) q[3], q[2];\ncrz(x22) q[5], q[4];\ncrz(x23) q[7], q[6];\ncrz(x24) q[9], q[8];\nrx(x25) q[0];\nrz(x26) q[0];\nrx(x27) q[1];\nrz(x28) q[1];\nrx(x29) q[2];\nrz(x30) q[2];\nrx(x31) q[3];\nrz(x32) q[3];\nrx(x33) q[4];\nrz(x34) q[4];\nrx(x35) q[5];\nrz(x36) q[5];\nrx(x37) q[6];\nrz(x38) q[6];\nrx(x39) q[7];\nrz(x40) q[7];\nrx(x41) q[8];\nrz(x42) q[8];\nrx(x43) q[9];\nrz(x44) q[9];\ncrz(x45) q[2], q[1];\ncrz(x46) q[4], q[3];\ncrz(x47) q[6], q[5];\ncrz(x48) q[8], q[7];\nrx(x49) q[0];\nrz(x1) q[0];\nrx(x50) q[1];\nrz(x28) q[1];\nrx(x6) q[2];\nrz(x51) q[2];\nrx(x52) q[3];\nrz(x0) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x59) q[7];\nrz(x60) q[7];\nrx(x61) q[8];\nrz(x62) q[8];\nrx(x63) q[9];\nrz(x64) q[9];\ncrz(x65) q[1], q[0];\ncrz(x66) q[3], q[2];\ncrz(x67) q[5], q[4];\ncrz(x68) q[7], q[6];\ncrz(x69) q[9], q[8];\nrx(x70) q[0];\nrz(x71) q[0];\nrx(x72) q[1];\nrz(x73) q[1];\nrx(x74) q[2];\nrz(x75) q[2];\nrx(x76) q[3];\nrz(x77) q[3];\nrx(x78) q[4];\nrz(x7) q[4];\nrx(x79) q[5];\nrz(x80) q[5];\nrx(x81) q[6];\nrz(x82) q[6];\nrx(x83) q[7];\nrz(x84) q[7];\nrx(x85) q[8];\nrz(x86) q[8];\nrx(x87) q[9];\nrz(x88) q[9];\ncrz(x89) q[2], q[1];\ncrz(x90) q[4], q[3];\ncrz(x91) q[6], q[5];\ncrz(x92) q[8], q[7];\nrx(x93) q[0];\nrz(x94) q[0];\nrx(x95) q[1];\nrz(x96) q[1];\nrx(x97) q[2];\nrz(x98) q[2];\nrx(x99) q[3];\nrz(x100) q[3];\nrx(x4) q[4];\nrz(x101) q[4];\nrx(x102) q[5];\nrz(x103) q[5];\nrx(x104) q[6];\nrz(x105) q[6];\nrx(x106) q[7];\nrz(x107) q[7];\nrx(x108) q[8];\nrz(x109) q[8];\nrx(x110) q[9];\nrz(x111) q[9];\ncrz(x112) q[1], q[0];\ncrz(x113) q[3], q[2];\ncrz(x114) q[5], q[4];\ncrz(x115) q[7], q[6];\ncrz(x116) q[9], q[8];\nrx(x117) q[0];\nrz(x118) q[0];\nrx(x119) q[1];\nrz(x120) q[1];\nrx(x12) q[2];\nrz(x121) q[2];\nrx(x122) q[3];\nrz(x123) q[3];\nrx(x124) q[4];\nrz(x125) q[4];\nrx(x126) q[5];\nrz(x127) q[5];\nrx(x128) q[6];\nrz(x129) q[6];\nrx(x130) q[7];\nrz(x131) q[7];\nrx(x132) q[8];\nrz(x133) q[8];\nrx(x134) q[9];\nrz(x135) q[9];\ncrz(x136) q[2], q[1];\ncrz(x137) q[4], q[3];\ncrz(x138) q[6], q[5];\ncrz(x139) q[8], q[7];\nrx(x123) q[0];\nrz(x140) q[0];\nrx(x141) q[1];\nrz(x142) q[1];\nrx(x143) q[2];\nrz(x144) q[2];\nrx(x145) q[3];\nrz(x146) q[3];\nrx(x147) q[4];\nrz(x148) q[4];\nrx(x149) q[5];\nrz(x150) q[5];\nrx(x151) q[6];\nrz(x152) q[6];\nrx(x153) q[7];\nrz(x154) q[7];\nrx(x155) q[8];\nrz(x156) q[8];\nrx(x157) q[9];\nrz(x158) q[9];\ncrz(x159) q[1], q[0];\ncrz(x160) q[3], q[2];\ncrz(x161) q[5], q[4];\ncrz(x162) q[7], q[6];\ncrz(x163) q[9], q[8];\nrx(x164) q[0];\nrz(x165) q[0];\nrx(x166) q[1];\nrz(x21) q[1];\nrx(x167) q[2];\nrz(x168) q[2];\nrx(x169) q[3];\nrz(x170) q[3];\nrx(x171) q[4];\nrz(x172) q[4];\nrx(x173) q[5];\nrz(x174) q[5];\nrx(x155) q[6];\nrz(x175) q[6];\nrx(x176) q[7];\nrz(x177) q[7];\nrx(x178) q[8];\nrz(x179) q[8];\nrx(x180) q[9];\nrz(x181) q[9];\ncrz(x182) q[2], q[1];\ncrz(x183) q[4], q[3];\ncrz(x184) q[6], q[5];\ncrz(x185) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 10}\"}","{\"circuits\": [], \"gradients\": []}"]
["dab40a2f654e93a72357d226e03c7017","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [17, 48], \"expectation_value\": -3.9741052551015095, \"params\": null, \"bitstrings\": [\"101110\", \"001111\"], \"total_optimization_steps\": 15, \"probabilities\": [0.07397911536985187, 0.9005728489954137], \"optimization_time\": 10.518112897872925}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3)",1,6,4,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"001111\", \"101110\", \"101101\", \"011011\", \"110110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nry(-1.5681) q[4];\nry(-1.4449) q[3];\nry(1.4417) q[1];\ncry(-1.0398) q[0], q[5];\nry(0.7022) q[0];\nry(-0.4578) q[5];\ncry(0.4969) q[1], q[0];\ncry(-0.3761) q[1], q[5];\ncry(-0.1216) q[1], q[3];\ncry(0.1097) q[0], q[1];\ncry(-0.0705) q[5], q[0];\ncry(0.029) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nry(-0.4578) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nry(-0.4578) q[5];\\ncry(0.4969) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nry(-0.4578) q[5];\\ncry(0.4969) q[1], q[0];\\ncry(-0.3761) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nry(-0.4578) q[5];\\ncry(0.4969) q[1], q[0];\\ncry(-0.3761) q[1], q[5];\\ncry(-0.1216) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nry(-0.4578) q[5];\\ncry(0.4969) q[1], q[0];\\ncry(-0.3761) q[1], q[5];\\ncry(-0.1216) q[1], q[3];\\ncry(0.1097) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nry(-0.4578) q[5];\\ncry(0.4969) q[1], q[0];\\ncry(-0.3761) q[1], q[5];\\ncry(-0.1216) q[1], q[3];\\ncry(0.1097) q[0], q[1];\\ncry(-0.0705) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nry(-0.4578) q[5];\\ncry(0.4969) q[1], q[0];\\ncry(-0.3761) q[1], q[5];\\ncry(-0.1216) q[1], q[3];\\ncry(0.1097) q[0], q[1];\\ncry(-0.0705) q[5], q[0];\\ncry(0.029) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nry(-0.4578) q[5];\\ncry(0.4969) q[1], q[0];\\ncry(-0.3761) q[1], q[5];\\ncry(-0.1216) q[1], q[3];\\ncry(0.1097) q[0], q[1];\\ncry(-0.0705) q[5], q[0];\\ncry(0.029) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4417) q[1];\\ncry(-1.0398) q[0], q[5];\\nry(0.7022) q[0];\\nry(-0.4578) q[5];\\ncry(0.4969) q[1], q[0];\\ncry(-0.3761) q[1], q[5];\\ncry(-0.1216) q[1], q[3];\\ncry(0.1097) q[0], q[1];\\ncry(-0.0705) q[5], q[0];\\ncry(0.029) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.5097, 1.0057, 0.5028, 0.4959, 0.2527, 0.247, 0.1905, 0.2251, 0.1875, 0.0732, 0.0532, 0.0153, 0.0063, 0.0042, 0.0028]}"]
["a296bf4a8467a546a89302f84310fa30","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 1}, {\"weight\": 16, \"source\": 0, \"target\": 7}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 20, \"source\": 3, \"target\": 4}, {\"weight\": 12, \"source\": 3, \"target\": 5}, {\"weight\": 14, \"source\": 3, \"target\": 6}, {\"weight\": 9, \"source\": 4, \"target\": 5}, {\"weight\": 15, \"source\": 4, \"target\": 6}, {\"weight\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [442, 186], \"expectation_value\": -23.50503991683748, \"params\": [[-0.023700000000000002, 0.032, 0.0142, 0.010100000000000001], [0.0534, -0.037000000000000005, -0.047, -0.0466]], \"bitstrings\": [\"001000101\", \"101000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005826676493124364, 0.007793120261558576], \"optimization_time\": 8.664152145385742}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.0 * Z(1) + -2.0 * Z(0) + 23.5 * Z(3) + 6.5 * Z(2) + 15.0 * Z(4) + 20.5 * Z(5) + 9.0 * Z(6) + 16.5 * Z(7) + 5.0 * Z(8)",1,9,4,"{\"smallest_eigenvalues\": [-87.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -78.5, \"smallest_bitstrings\": [\"101000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.2133) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.2133) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(-0.2133) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(-0.2133) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(-0.2133) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(-0.2133) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.2133) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.2133) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.2133) q[6];\ncx q[4], q[6];\ncx q[3], q[7];\nrz(-0.2133) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.2133) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.2133) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(-0.2133) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(-0.2133) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(-0.2133) q[8];\ncx q[7], q[8];\nrz(-0.3792) q[1];\nrz(0.0948) q[0];\nrz(-1.1139) q[3];\nrz(-0.3081) q[2];\nrz(-0.711) q[4];\nrz(-0.9717) q[5];\nrz(-0.4266) q[6];\nrz(-0.7821) q[7];\nrz(-0.237) q[8];\nh q[0];\nrz(0.1068) q[0];\nh q[0];\nh q[1];\nrz(0.1068) q[1];\nh q[1];\nh q[2];\nrz(0.1068) q[2];\nh q[2];\nh q[3];\nrz(0.1068) q[3];\nh q[3];\nh q[4];\nrz(0.1068) q[4];\nh q[4];\nh q[5];\nrz(0.1068) q[5];\nh q[5];\nh q[6];\nrz(0.1068) q[6];\nh q[6];\nh q[7];\nrz(0.1068) q[7];\nh q[7];\nh q[8];\nrz(0.1068) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.288) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(0.288) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(0.288) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(0.288) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(0.288) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(0.288) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.288) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.288) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.288) q[6];\ncx q[4], q[6];\ncx q[3], q[7];\nrz(0.288) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.288) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.288) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(0.288) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(0.288) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(0.288) q[8];\ncx q[7], q[8];\nrz(0.512) q[1];\nrz(-0.128) q[0];\nrz(1.504) q[3];\nrz(0.416) q[2];\nrz(0.96) q[4];\nrz(1.312) q[5];\nrz(0.576) q[6];\nrz(1.056) q[7];\nrz(0.32) q[8];\nh q[0];\nrz(-0.074) q[0];\nh q[0];\nh q[1];\nrz(-0.074) q[1];\nh q[1];\nh q[2];\nrz(-0.074) q[2];\nh q[2];\nh q[3];\nrz(-0.074) q[3];\nh q[3];\nh q[4];\nrz(-0.074) q[4];\nh q[4];\nh q[5];\nrz(-0.074) q[5];\nh q[5];\nh q[6];\nrz(-0.074) q[6];\nh q[6];\nh q[7];\nrz(-0.074) q[7];\nh q[7];\nh q[8];\nrz(-0.074) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.1278) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(0.1278) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(0.1278) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(0.1278) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(0.1278) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(0.1278) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.1278) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.1278) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.1278) q[6];\ncx q[4], q[6];\ncx q[3], q[7];\nrz(0.1278) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.1278) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.1278) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(0.1278) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(0.1278) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(0.1278) q[8];\ncx q[7], q[8];\nrz(0.2272) q[1];\nrz(-0.0568) q[0];\nrz(0.6674) q[3];\nrz(0.1846) q[2];\nrz(0.426) q[4];\nrz(0.5822) q[5];\nrz(0.2556) q[6];\nrz(0.4686) q[7];\nrz(0.142) q[8];\nh q[0];\nrz(-0.094) q[0];\nh q[0];\nh q[1];\nrz(-0.094) q[1];\nh q[1];\nh q[2];\nrz(-0.094) q[2];\nh q[2];\nh q[3];\nrz(-0.094) q[3];\nh q[3];\nh q[4];\nrz(-0.094) q[4];\nh q[4];\nh q[5];\nrz(-0.094) q[5];\nh q[5];\nh q[6];\nrz(-0.094) q[6];\nh q[6];\nh q[7];\nrz(-0.094) q[7];\nh q[7];\nh q[8];\nrz(-0.094) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0909) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(0.0909) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(0.0909) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(0.0909) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(0.0909) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(0.0909) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.0909) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.0909) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0909) q[6];\ncx q[4], q[6];\ncx q[3], q[7];\nrz(0.0909) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.0909) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0909) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(0.0909) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(0.0909) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(0.0909) q[8];\ncx q[7], q[8];\nrz(0.1616) q[1];\nrz(-0.0404) q[0];\nrz(0.4747) q[3];\nrz(0.1313) q[2];\nrz(0.303) q[4];\nrz(0.4141) q[5];\nrz(0.1818) q[6];\nrz(0.3333) q[7];\nrz(0.101) q[8];\nh q[0];\nrz(-0.0932) q[0];\nh q[0];\nh q[1];\nrz(-0.0932) q[1];\nh q[1];\nh q[2];\nrz(-0.0932) q[2];\nh q[2];\nh q[3];\nrz(-0.0932) q[3];\nh q[3];\nh q[4];\nrz(-0.0932) q[4];\nh q[4];\nh q[5];\nrz(-0.0932) q[5];\nh q[5];\nh q[6];\nrz(-0.0932) q[6];\nh q[6];\nh q[7];\nrz(-0.0932) q[7];\nh q[7];\nh q[8];\nrz(-0.0932) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x11) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x11) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x11) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x11) q[6];\ncx q[4], q[6];\ncx q[3], q[7];\nrz(x11) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x11) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x11) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(x11) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x11) q[8];\ncx q[7], q[8];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[3];\nrz(x15) q[2];\nrz(x16) q[4];\nrz(x17) q[5];\nrz(x18) q[6];\nrz(x19) q[7];\nrz(x20) q[8];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x22) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x22) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x22) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x22) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x22) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x22) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x22) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x22) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x22) q[6];\ncx q[4], q[6];\ncx q[3], q[7];\nrz(x22) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x22) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x22) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x22) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(x22) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x22) q[8];\ncx q[7], q[8];\nrz(x23) q[1];\nrz(x24) q[0];\nrz(x25) q[3];\nrz(x26) q[2];\nrz(x27) q[4];\nrz(x28) q[5];\nrz(x29) q[6];\nrz(x30) q[7];\nrz(x31) q[8];\nh q[0];\nrz(x32) q[0];\nh q[0];\nh q[1];\nrz(x32) q[1];\nh q[1];\nh q[2];\nrz(x32) q[2];\nh q[2];\nh q[3];\nrz(x32) q[3];\nh q[3];\nh q[4];\nrz(x32) q[4];\nh q[4];\nh q[5];\nrz(x32) q[5];\nh q[5];\nh q[6];\nrz(x32) q[6];\nh q[6];\nh q[7];\nrz(x32) q[7];\nh q[7];\nh q[8];\nrz(x32) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x33) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x33) q[2];\ncx q[3], q[2];\ncx q[3], q[4];\nrz(x33) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x33) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x33) q[5];\ncx q[3], q[5];\ncx q[2], q[5];\nrz(x33) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x33) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x33) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x33) q[6];\ncx q[4], q[6];\ncx q[3], q[7];\nrz(x33) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x33) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x33) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x33) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(x33) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x33) q[8];\ncx q[7], q[8];\nrz(x34) q[1];\nrz(x35) q[0];\nrz(x36) q[3];\nrz(x37) q[2];\nrz(x38) q[4];\nrz(x39) q[5];\nrz(x40) q[6];\nrz(x41) q[7];\nrz(x42) q[8];\nh q[0];\nrz(x43) q[0];\nh q[0];\nh q[1];\nrz(x43) q[1];\nh q[1];\nh q[2];\nrz(x43) q[2];\nh q[2];\nh q[3];\nrz(x43) q[3];\nh q[3];\nh q[4];\nrz(x43) q[4];\nh q[4];\nh q[5];\nrz(x43) q[5];\nh q[5];\nh q[6];\nrz(x43) q[6];\nh q[6];\nh q[7];\nrz(x43) q[7];\nh q[7];\nh q[8];\nrz(x43) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["c5211bad50b928e7b2cd71a45947d261","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 6}, {\"weight\": 20, \"source\": 1, \"target\": 6}, {\"weight\": 6, \"source\": 2, \"target\": 3}, {\"weight\": 18, \"source\": 3, \"target\": 6}, {\"weight\": 20, \"source\": 3, \"target\": 7}, {\"weight\": 17, \"source\": 3, \"target\": 4}, {\"weight\": 5, \"source\": 4, \"target\": 5}, {\"weight\": 2, \"source\": 6, \"target\": 7}]}","{\"states\": [222, 220], \"expectation_value\": -29.12008861565803, \"params\": [[0.0219, 0.0022, -0.0012000000000000001, 0.015300000000000001], [-0.0523, -0.047900000000000005, -0.0373, -0.0341]], \"bitstrings\": [\"100100001\", \"100100011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006398977960499332, 0.008414110399637471], \"optimization_time\": 8.449948072433472}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 15.5 * Z(1) + 4.0 * Z(0) + 19.0 * Z(2) + 19.0 * Z(6) + 7.5 * Z(3) + 17.5 * Z(4) + 27.0 * Z(5) + -2.0 * Z(7) + 10.0 * Z(8)",1,9,4,"{\"smallest_eigenvalues\": [-96.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -86.5, \"smallest_bitstrings\": [\"100100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.1971) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1971) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1971) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(0.1971) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(0.1971) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.1971) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.1971) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.1971) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(0.1971) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(0.1971) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.1971) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(0.1971) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(0.1971) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(0.1971) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.1971) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(0.1971) q[8];\ncx q[5], q[8];\nrz(0.6789) q[1];\nrz(0.1752) q[0];\nrz(0.8322) q[2];\nrz(0.8322) q[6];\nrz(0.3285) q[3];\nrz(0.7665) q[4];\nrz(1.1826) q[5];\nrz(-0.0876) q[7];\nrz(0.438) q[8];\nh q[0];\nrz(-0.1046) q[0];\nh q[0];\nh q[1];\nrz(-0.1046) q[1];\nh q[1];\nh q[2];\nrz(-0.1046) q[2];\nh q[2];\nh q[3];\nrz(-0.1046) q[3];\nh q[3];\nh q[4];\nrz(-0.1046) q[4];\nh q[4];\nh q[5];\nrz(-0.1046) q[5];\nh q[5];\nh q[6];\nrz(-0.1046) q[6];\nh q[6];\nh q[7];\nrz(-0.1046) q[7];\nh q[7];\nh q[8];\nrz(-0.1046) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0198) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0198) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0198) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(0.0198) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(0.0198) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.0198) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0198) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0198) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(0.0198) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(0.0198) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0198) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(0.0198) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(0.0198) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(0.0198) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.0198) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(0.0198) q[8];\ncx q[5], q[8];\nrz(0.0682) q[1];\nrz(0.0176) q[0];\nrz(0.0836) q[2];\nrz(0.0836) q[6];\nrz(0.033) q[3];\nrz(0.077) q[4];\nrz(0.1188) q[5];\nrz(-0.0088) q[7];\nrz(0.044) q[8];\nh q[0];\nrz(-0.0958) q[0];\nh q[0];\nh q[1];\nrz(-0.0958) q[1];\nh q[1];\nh q[2];\nrz(-0.0958) q[2];\nh q[2];\nh q[3];\nrz(-0.0958) q[3];\nh q[3];\nh q[4];\nrz(-0.0958) q[4];\nh q[4];\nh q[5];\nrz(-0.0958) q[5];\nh q[5];\nh q[6];\nrz(-0.0958) q[6];\nh q[6];\nh q[7];\nrz(-0.0958) q[7];\nh q[7];\nh q[8];\nrz(-0.0958) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.0108) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0108) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0108) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(-0.0108) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(-0.0108) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(-0.0108) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0108) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0108) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(-0.0108) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(-0.0108) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0108) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(-0.0108) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(-0.0108) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(-0.0108) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(-0.0108) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(-0.0108) q[8];\ncx q[5], q[8];\nrz(-0.0372) q[1];\nrz(-0.0096) q[0];\nrz(-0.0456) q[2];\nrz(-0.0456) q[6];\nrz(-0.018) q[3];\nrz(-0.042) q[4];\nrz(-0.0648) q[5];\nrz(0.0048) q[7];\nrz(-0.024) q[8];\nh q[0];\nrz(-0.0746) q[0];\nh q[0];\nh q[1];\nrz(-0.0746) q[1];\nh q[1];\nh q[2];\nrz(-0.0746) q[2];\nh q[2];\nh q[3];\nrz(-0.0746) q[3];\nh q[3];\nh q[4];\nrz(-0.0746) q[4];\nh q[4];\nh q[5];\nrz(-0.0746) q[5];\nh q[5];\nh q[6];\nrz(-0.0746) q[6];\nh q[6];\nh q[7];\nrz(-0.0746) q[7];\nh q[7];\nh q[8];\nrz(-0.0746) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.1377) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1377) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1377) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(0.1377) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(0.1377) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.1377) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.1377) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.1377) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(0.1377) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(0.1377) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.1377) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(0.1377) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(0.1377) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(0.1377) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.1377) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(0.1377) q[8];\ncx q[5], q[8];\nrz(0.4743) q[1];\nrz(0.1224) q[0];\nrz(0.5814) q[2];\nrz(0.5814) q[6];\nrz(0.2295) q[3];\nrz(0.5355) q[4];\nrz(0.8262) q[5];\nrz(-0.0612) q[7];\nrz(0.306) q[8];\nh q[0];\nrz(-0.0682) q[0];\nh q[0];\nh q[1];\nrz(-0.0682) q[1];\nh q[1];\nh q[2];\nrz(-0.0682) q[2];\nh q[2];\nh q[3];\nrz(-0.0682) q[3];\nh q[3];\nh q[4];\nrz(-0.0682) q[4];\nh q[4];\nh q[5];\nrz(-0.0682) q[5];\nh q[5];\nh q[6];\nrz(-0.0682) q[6];\nh q[6];\nh q[7];\nrz(-0.0682) q[7];\nh q[7];\nh q[8];\nrz(-0.0682) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x3) q[6];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(x10) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x10) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(x10) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(x10) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x10) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(x10) q[8];\ncx q[5], q[8];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x13) q[6];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[7];\nrz(x18) q[8];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nh q[8];\nrz(x19) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x20) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(x20) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x20) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x20) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x20) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x20) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(x20) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(x20) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(x20) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x20) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(x20) q[8];\ncx q[5], q[8];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x23) q[6];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[7];\nrz(x28) q[8];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nh q[8];\nrz(x29) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x30) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x30) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x30) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(x30) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x30) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x30) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x30) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x30) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x30) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x30) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x30) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(x30) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(x30) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(x30) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x30) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(x30) q[8];\ncx q[5], q[8];\nrz(x31) q[1];\nrz(x32) q[0];\nrz(x33) q[2];\nrz(x33) q[6];\nrz(x34) q[3];\nrz(x35) q[4];\nrz(x36) q[5];\nrz(x37) q[7];\nrz(x38) q[8];\nh q[0];\nrz(x39) q[0];\nh q[0];\nh q[1];\nrz(x39) q[1];\nh q[1];\nh q[2];\nrz(x39) q[2];\nh q[2];\nh q[3];\nrz(x39) q[3];\nh q[3];\nh q[4];\nrz(x39) q[4];\nh q[4];\nh q[5];\nrz(x39) q[5];\nh q[5];\nh q[6];\nrz(x39) q[6];\nh q[6];\nh q[7];\nrz(x39) q[7];\nh q[7];\nh q[8];\nrz(x39) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["1c2304a67a30db02b0aacaef8f54cc49","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 2}, {\"weight\": 20, \"source\": 0, \"target\": 5}, {\"weight\": 12, \"source\": 0, \"target\": 4}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 15, \"source\": 2, \"target\": 5}, {\"weight\": 16, \"source\": 3, \"target\": 4}, {\"weight\": 9, \"source\": 4, \"target\": 5}]}","{\"states\": [121, 118], \"expectation_value\": -22.764905615640316, \"params\": [[0.0361, -0.0017000000000000001], [-0.0852, -0.0477]], \"bitstrings\": [\"10000110\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01051264476431237, 0.012025724197416435], \"optimization_time\": 3.523221254348755}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 7.5 * Z(0) + 18.0 * Z(2) + 22.0 * Z(3) + 9.0 * Z(4) + 15.5 * Z(5) + 12.0 * Z(6) + 12.5 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-72.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -66.5, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.2888) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2888) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2888) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.2888) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.2888) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2888) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.2888) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(0.2888) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.2888) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.2888) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.2888) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.2888) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(0.2888) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.2888) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.2888) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.2888) q[7];\ncx q[6], q[7];\nrz(1.2996) q[1];\nrz(0.5415) q[0];\nrz(1.2996) q[2];\nrz(1.5884) q[3];\nrz(0.6498) q[4];\nrz(1.1191) q[5];\nrz(0.8664) q[6];\nrz(0.9025) q[7];\nh q[0];\nrz(-0.1704) q[0];\nh q[0];\nh q[1];\nrz(-0.1704) q[1];\nh q[1];\nh q[2];\nrz(-0.1704) q[2];\nh q[2];\nh q[3];\nrz(-0.1704) q[3];\nh q[3];\nh q[4];\nrz(-0.1704) q[4];\nh q[4];\nh q[5];\nrz(-0.1704) q[5];\nh q[5];\nh q[6];\nrz(-0.1704) q[6];\nh q[6];\nh q[7];\nrz(-0.1704) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0136) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0136) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0136) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0136) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0136) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0136) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0136) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(-0.0136) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(-0.0136) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.0136) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.0136) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0136) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(-0.0136) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.0136) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.0136) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0136) q[7];\ncx q[6], q[7];\nrz(-0.0612) q[1];\nrz(-0.0255) q[0];\nrz(-0.0612) q[2];\nrz(-0.0748) q[3];\nrz(-0.0306) q[4];\nrz(-0.0527) q[5];\nrz(-0.0408) q[6];\nrz(-0.0425) q[7];\nh q[0];\nrz(-0.0954) q[0];\nh q[0];\nh q[1];\nrz(-0.0954) q[1];\nh q[1];\nh q[2];\nrz(-0.0954) q[2];\nh q[2];\nh q[3];\nrz(-0.0954) q[3];\nh q[3];\nh q[4];\nrz(-0.0954) q[4];\nh q[4];\nh q[5];\nrz(-0.0954) q[5];\nh q[5];\nh q[6];\nrz(-0.0954) q[6];\nh q[6];\nh q[7];\nrz(-0.0954) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x1) q[2];\nrz(x3) q[3];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x7) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x9) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x9) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x9) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x9) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x9) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x10) q[2];\nrz(x12) q[3];\nrz(x13) q[4];\nrz(x14) q[5];\nrz(x15) q[6];\nrz(x16) q[7];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["d0689a6dbeb7a066dbec17f8f325db83","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 1}]}","{\"states\": [5, 1], \"expectation_value\": -1.9041470400648512, \"params\": [[0.0659, 0.0664, 0.0699, 0.0748], [-0.0539, -0.053200000000000004, -0.052500000000000005, -0.0579]], \"bitstrings\": [\"1111010\", \"1111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.021888828670993017, 0.02393822349094163], \"optimization_time\": 4.206947326660156}","-0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5)",1,7,4,"{\"smallest_eigenvalues\": [-7.75, -7.75, -7.75, -7.75], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -6.75, \"smallest_bitstrings\": [\"1111000\", \"1111110\", \"1111010\", \"1111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(-0.0659) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.0988) q[3];\ncx q[0], q[3];\ncx q[0], q[6];\nrz(0.1977) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(-0.033) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(-0.1318) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.0988) q[5];\ncx q[1], q[5];\nrz(-0.1648) q[2];\nrz(-0.033) q[0];\nrz(-0.0988) q[3];\nrz(0.1977) q[6];\nrz(-0.1318) q[1];\nrz(0.1318) q[4];\nrz(0.0988) q[5];\nh q[0];\nrz(-0.1078) q[0];\nh q[0];\nh q[1];\nrz(-0.1078) q[1];\nh q[1];\nh q[2];\nrz(-0.1078) q[2];\nh q[2];\nh q[3];\nrz(-0.1078) q[3];\nh q[3];\nh q[4];\nrz(-0.1078) q[4];\nh q[4];\nh q[5];\nrz(-0.1078) q[5];\nh q[5];\nh q[6];\nrz(-0.1078) q[6];\nh q[6];\ncx q[2], q[0];\nrz(-0.0664) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.0996) q[3];\ncx q[0], q[3];\ncx q[0], q[6];\nrz(0.1992) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(-0.0332) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(-0.1328) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.0996) q[5];\ncx q[1], q[5];\nrz(-0.166) q[2];\nrz(-0.0332) q[0];\nrz(-0.0996) q[3];\nrz(0.1992) q[6];\nrz(-0.1328) q[1];\nrz(0.1328) q[4];\nrz(0.0996) q[5];\nh q[0];\nrz(-0.1064) q[0];\nh q[0];\nh q[1];\nrz(-0.1064) q[1];\nh q[1];\nh q[2];\nrz(-0.1064) q[2];\nh q[2];\nh q[3];\nrz(-0.1064) q[3];\nh q[3];\nh q[4];\nrz(-0.1064) q[4];\nh q[4];\nh q[5];\nrz(-0.1064) q[5];\nh q[5];\nh q[6];\nrz(-0.1064) q[6];\nh q[6];\ncx q[2], q[0];\nrz(-0.0699) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.1048) q[3];\ncx q[0], q[3];\ncx q[0], q[6];\nrz(0.2097) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(-0.035) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(-0.1398) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.1048) q[5];\ncx q[1], q[5];\nrz(-0.1748) q[2];\nrz(-0.035) q[0];\nrz(-0.1048) q[3];\nrz(0.2097) q[6];\nrz(-0.1398) q[1];\nrz(0.1398) q[4];\nrz(0.1048) q[5];\nh q[0];\nrz(-0.105) q[0];\nh q[0];\nh q[1];\nrz(-0.105) q[1];\nh q[1];\nh q[2];\nrz(-0.105) q[2];\nh q[2];\nh q[3];\nrz(-0.105) q[3];\nh q[3];\nh q[4];\nrz(-0.105) q[4];\nh q[4];\nh q[5];\nrz(-0.105) q[5];\nh q[5];\nh q[6];\nrz(-0.105) q[6];\nh q[6];\ncx q[2], q[0];\nrz(-0.0748) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(-0.1122) q[3];\ncx q[0], q[3];\ncx q[0], q[6];\nrz(0.2244) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(-0.0374) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(-0.1496) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(-0.1122) q[5];\ncx q[1], q[5];\nrz(-0.187) q[2];\nrz(-0.0374) q[0];\nrz(-0.1122) q[3];\nrz(0.2244) q[6];\nrz(-0.1496) q[1];\nrz(0.1496) q[4];\nrz(0.1122) q[5];\nh q[0];\nrz(-0.1158) q[0];\nh q[0];\nh q[1];\nrz(-0.1158) q[1];\nh q[1];\nh q[2];\nrz(-0.1158) q[2];\nh q[2];\nh q[3];\nrz(-0.1158) q[3];\nh q[3];\nh q[4];\nrz(-0.1158) q[4];\nh q[4];\nh q[5];\nrz(-0.1158) q[5];\nh q[5];\nh q[6];\nrz(-0.1158) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(x3) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(x4) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\nrz(x5) q[2];\nrz(x3) q[0];\nrz(x1) q[3];\nrz(x2) q[6];\nrz(x4) q[1];\nrz(x6) q[4];\nrz(x7) q[5];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[0], q[6];\nrz(x11) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(x12) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(x13) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\nrz(x14) q[2];\nrz(x12) q[0];\nrz(x10) q[3];\nrz(x11) q[6];\nrz(x13) q[1];\nrz(x15) q[4];\nrz(x16) q[5];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x18) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x19) q[3];\ncx q[0], q[3];\ncx q[0], q[6];\nrz(x20) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(x21) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(x22) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x19) q[5];\ncx q[1], q[5];\nrz(x23) q[2];\nrz(x21) q[0];\nrz(x19) q[3];\nrz(x20) q[6];\nrz(x22) q[1];\nrz(x24) q[4];\nrz(x25) q[5];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x27) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x28) q[3];\ncx q[0], q[3];\ncx q[0], q[6];\nrz(x29) q[6];\ncx q[0], q[6];\ncx q[2], q[1];\nrz(x30) q[1];\ncx q[2], q[1];\ncx q[2], q[4];\nrz(x31) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x28) q[5];\ncx q[1], q[5];\nrz(x32) q[2];\nrz(x30) q[0];\nrz(x28) q[3];\nrz(x29) q[6];\nrz(x31) q[1];\nrz(x33) q[4];\nrz(x34) q[5];\nh q[0];\nrz(x35) q[0];\nh q[0];\nh q[1];\nrz(x35) q[1];\nh q[1];\nh q[2];\nrz(x35) q[2];\nh q[2];\nh q[3];\nrz(x35) q[3];\nh q[3];\nh q[4];\nrz(x35) q[4];\nh q[4];\nh q[5];\nrz(x35) q[5];\nh q[5];\nh q[6];\nrz(x35) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["-2226639762491799027","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 2], [2, 3], [0, 5], [0, 2], [5, 6], [1, 3], [2, 6], [1, 5], [3, 4], [0, 1], [1, 6]]}","{\"states\": [54, 73], \"expectation_value\": -0.06664767156710173, \"params\": [[-0.0533], [0.0579]], \"bitstrings\": [\"1001001\", \"0110110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008495594244634787, 0.008495594244634787], \"optimization_time\": 0.562880277633667}","0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"0110110\", \"1001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[1];\nrz(-0.0533) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(-0.0533) q[3];\ncx q[2], q[3];\ncx q[1], q[3];\nrz(-0.0533) q[3];\ncx q[1], q[3];\ncx q[2], q[0];\nrz(-0.0533) q[0];\ncx q[2], q[0];\ncx q[1], q[0];\nrz(-0.0533) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(-0.0533) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0533) q[5];\ncx q[0], q[5];\ncx q[2], q[6];\nrz(-0.0533) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(-0.0533) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.0533) q[6];\ncx q[5], q[6];\ncx q[3], q[4];\nrz(-0.0533) q[4];\ncx q[3], q[4];\nrz(0) q[2];\nrz(0) q[1];\nrz(0) q[3];\nrz(0) q[0];\nrz(0) q[5];\nrz(0) q[6];\nrz(0) q[4];\nh q[0];\nrz(0.1158) q[0];\nh q[0];\nh q[1];\nrz(0.1158) q[1];\nh q[1];\nh q[2];\nrz(0.1158) q[2];\nh q[2];\nh q[3];\nrz(0.1158) q[3];\nh q[3];\nh q[4];\nrz(0.1158) q[4];\nh q[4];\nh q[5];\nrz(0.1158) q[5];\nh q[5];\nh q[6];\nrz(0.1158) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x1) q[2];\nrz(x1) q[1];\nrz(x1) q[3];\nrz(x1) q[0];\nrz(x1) q[5];\nrz(x1) q[6];\nrz(x1) q[4];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["69144809aea48cb46eae9c3950f24a15","graph_coloring","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 1}, {\"id\": 2}, {\"id\": 0}, {\"id\": 3}], \"edges\": [{\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 0, \"target\": 3}]}","{\"states\": [3443, 3445], \"expectation_value\": -6.245388836691124, \"params\": null, \"bitstrings\": [\"001010001100\", \"001010001010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.0570046881067329, 0.8149526781416564], \"optimization_time\": 322.5241892337799}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(7)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(8)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.75 * Z(4) + 0.75 * Z(3) + 0.75 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8) + 0.75 * Z(1) + 0.75 * Z(0) + 0.75 * Z(2) + 1.0 * Z(9) + 1.0 * Z(10) + 1.0 * Z(11)",1,12,1,"{\"smallest_eigenvalues\": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], \"number_of_smallest_eigenvalues\": 24, \"first_excited_energy\": -5.25, \"smallest_bitstrings\": [\"100001100010\", \"100100001010\", \"100100010001\", \"001100010100\", \"001010100010\", \"010100010100\", \"001010001100\", \"001010001010\", \"010100010001\", \"100010100010\", \"100010100001\", \"010100001100\", \"001100001010\", \"100010001010\", \"001001010100\", \"001001100010\", \"010001010100\", \"010001100001\", \"100001010001\", \"010010001100\", \"010001010001\", \"010010100001\", \"001100001100\", \"100001100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\nry(1.5681) q[7];\nry(1.5486) q[5];\nry(1.5486) q[1];\nry(1.4449) q[6];\ncry(-1.4432) q[6], q[8];\ncry(-1.0342) q[9], q[10];\nry(1.069) q[9];\ncry(-0.724) q[11], q[10];\ncry(0.3812) q[1], q[9];\ncry(-1.0341) q[3], q[4];\ncry(-1.0341) q[0], q[2];\nry(0.7655) q[0];\ncry(0.7044) q[7], q[3];\ncry(-0.5098) q[1], q[2];\ncry(0.4961) q[7], q[0];\nry(-0.4584) q[4];\ncry(0.4971) q[11], q[3];\ncry(-0.3786) q[1], q[4];\ncry(-0.3623) q[11], q[2];\ncry(-0.2543) q[7], q[10];\nry(0.2457) q[3];\ncry(0.2129) q[1], q[0];\ncry(-0.1465) q[11], q[4];\ncry(-0.1263) q[7], q[2];\ncry(-0.1165) q[11], q[8];\ncry(0.0904) q[1], q[6];\ncry(0.0839) q[1], q[3];\ncry(0.0814) q[5], q[9];\ncry(0.0671) q[5], q[0];\ncry(-0.053) q[1], q[10];\ncry(-0.0478) q[7], q[4];\ncry(-0.0386) q[5], q[2];\ncry(0.0222) q[1], q[5];\ncry(0.0209) q[5], q[1];\ncry(0.027) q[5], q[3];\ncry(0.0274) q[7], q[9];\ncry(-0.0157) q[5], q[10];\ncry(-0.0138) q[7], q[8];\ncry(-0.0153) q[5], q[4];\ncry(0.0203) q[6], q[0];\ncry(-0.0118) q[6], q[2];\ncry(0.0024) q[7], q[11];\ncry(0.0025) q[11], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"number_of_colors\": 3}",{"$cut":{"chars":127271,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nry(1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nry(1.4449) q[6];\\ncry(-1.4432) q[6], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nry(1.4449) q[6];\\ncry(-1.4432) q[6], q[8];\\ncry(-1.0342) q[9], q[10];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(1.5681) q[11];\\nry(1.5681) q[7];\\nry(1.5486) q[5];\\nry(1.5486) q[1];\\nry(1.4449) q[6];\\ncry(-1.4432) q[6], q[8];\\ncry(-1.0342) q[9], q[10];\\nry(1.069) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measu"}}]
["1949b28e1aa10ea2a276346fd4c09def","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 9}, {\"capacity\": 3, \"source\": 0, \"target\": 10}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 8}, {\"capacity\": 2, \"source\": 1, \"target\": 9}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 2, \"target\": 11}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 8}, {\"capacity\": 3, \"source\": 3, \"target\": 11}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 8}, {\"capacity\": 3, \"source\": 5, \"target\": 1}, {\"capacity\": 3, \"source\": 5, \"target\": 10}, {\"capacity\": 1, \"source\": 5, \"target\": 11}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 3, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 8}, {\"capacity\": 1, \"source\": 6, \"target\": 11}, {\"capacity\": 1, \"source\": 7, \"target\": 5}, {\"capacity\": 1, \"source\": 7, \"target\": 8}, {\"capacity\": 3, \"source\": 8, \"target\": 2}, {\"capacity\": 1, \"source\": 8, \"target\": 4}, {\"capacity\": 2, \"source\": 8, \"target\": 5}, {\"capacity\": 1, \"source\": 8, \"target\": 7}, {\"capacity\": 2, \"source\": 8, \"target\": 9}, {\"capacity\": 2, \"source\": 8, \"target\": 10}, {\"capacity\": 3, \"source\": 8, \"target\": 11}, {\"capacity\": 1, \"source\": 9, \"target\": 11}]}","{\"states\": [2046, 1534], \"expectation_value\": -18.7989364467633, \"params\": [[[0.007200000000000001, 1.9697], [0.00030000000000000003, -0.009300000000000001], [1.55, -0.0019], [0.0027, 0.0022], [0.0029000000000000002, 0.0022], [0.003, 0.0022], [0.0041, 0.0021000000000000003], [0.0032, 0.0021000000000000003], [0.0027, 0.0021000000000000003], [0.0035, 0.0019], [-0.003, 0.004], [0.002, 0.0024000000000000002]], [[-0.0026000000000000003, -0.0027], [-0.004, 1.1055000000000001], [-0.23520000000000002, 0.0019], [0.0025, 0.0027], [0.0025, 0.0024000000000000002], [0.0022, 0.0022], [0.0019, 0.0021000000000000003], [0.0024000000000000002, 0.0021000000000000003], [0.0025, 0.0021000000000000003], [0.0019, 0.002], [0.0025, 0.0021000000000000003], [-0.003, 0.0151]]], \"bitstrings\": [\"100000000001\", \"101000000001\"], \"total_optimization_steps\": 240, \"probabilities\": [0.45519895603203975, 0.5323089418023462], \"optimization_time\": 17.089293718338013}","-0.75 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(11) @ Z(0)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(11)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(11)) + -0.5 * (Z(10) @ Z(2)) + -0.25 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(6)) + -0.5 * (Z(10) @ Z(8)) + -0.25 * (Z(9) @ Z(4)) + -0.5 * (Z(9) @ Z(10)) + -0.5 * (Z(3) @ Z(4)) + 2.5 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(11)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(3) @ Z(10)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(9)) + -0.25 * (Z(7) @ Z(3)) + -1.5 * Z(4) + -0.25 * Z(0) + 1.25 * Z(5) + -1.25 * Z(11) + -2.0 * Z(2) + 0.75 * Z(1) + 0.25 * Z(6) + 2.0 * Z(8) + 1.5 * Z(10) + 0.0 * Z(9) + -0.25 * Z(3) + -0.5 * Z(7)",15,12,2,"{\"smallest_eigenvalues\": [-20.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.25, \"smallest_bitstrings\": [\"101000000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.0072) q[0];\nry(0.0003) q[1];\nry(1.55) q[2];\nry(0.0027) q[3];\nry(0.0029) q[4];\nry(0.003) q[5];\nry(0.0041) q[6];\nry(0.0032) q[7];\nry(0.0027) q[8];\nry(0.0035) q[9];\nry(-0.003) q[10];\nry(0.002) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.9697) q[0];\nry(-0.0093) q[1];\nry(-0.0019) q[2];\nry(0.0022) q[3];\nry(0.0022) q[4];\nry(0.0022) q[5];\nry(0.0021) q[6];\nry(0.0021) q[7];\nry(0.0021) q[8];\nry(0.0019) q[9];\nry(0.004) q[10];\nry(0.0024) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.0026) q[0];\nry(-0.004) q[1];\nry(-0.2352) q[2];\nry(0.0025) q[3];\nry(0.0025) q[4];\nry(0.0022) q[5];\nry(0.0019) q[6];\nry(0.0024) q[7];\nry(0.0025) q[8];\nry(0.0019) q[9];\nry(0.0025) q[10];\nry(-0.003) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0027) q[0];\nry(1.1055) q[1];\nry(0.0019) q[2];\nry(0.0027) q[3];\nry(0.0024) q[4];\nry(0.0022) q[5];\nry(0.0021) q[6];\nry(0.0021) q[7];\nry(0.0021) q[8];\nry(0.002) q[9];\nry(0.0021) q[10];\nry(0.0151) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x3) q[8];\nry(x8) q[9];\nry(x9) q[10];\nry(x10) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x14) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x15) q[7];\nry(x15) q[8];\nry(x16) q[9];\nry(x17) q[10];\nry(x18) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x19) q[0];\nry(x20) q[1];\nry(x21) q[2];\nry(x22) q[3];\nry(x22) q[4];\nry(x14) q[5];\nry(x16) q[6];\nry(x18) q[7];\nry(x22) q[8];\nry(x16) q[9];\nry(x22) q[10];\nry(x9) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x23) q[0];\nry(x24) q[1];\nry(x16) q[2];\nry(x3) q[3];\nry(x18) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x15) q[7];\nry(x15) q[8];\nry(x10) q[9];\nry(x15) q[10];\nry(x25) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["3257eb74c5059c972aa1cf1f57c7841b","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [857, 1881], \"expectation_value\": -2.0526036855542285, \"params\": [0.4988, 0.4307, 0.5945, 0.5995, 0.5927, 0.5934, 0.33080000000000004, 0.2891, 0.5994, 0.6041000000000001, 0.34890000000000004, 0.3306, 0.6056, 0.6001000000000001, 0.5975, 0.5961000000000001, 0.1585, 0.1578, -0.0, -0.0005, 0.6028, 0.6033000000000001, 0.3471, 0.3271, 0.5946, 0.5965, 0.5906, 0.5956, 0.2503, 0.2051, 0.598, 0.6026, 0.31980000000000003, 0.2878, 0.605, 0.5997, 0.5922000000000001, 0.5952000000000001, 0.1497, 0.1428, 0.0006000000000000001, 0.0048000000000000004, 0.597, 0.5985, 0.5928, -0.0064, 0.5871000000000001, 0.5874, 0.0015, 0.5880000000000001, -0.21480000000000002, 0.3735, 0.5778, -0.0627, -0.09620000000000001, 0.5738, 0.5932000000000001, 0.0198, 0.1646, 0.5881000000000001, -0.2003, 0.3778, 0.0033, -0.0466, 0.18130000000000002, 0.0064, 0.3055, -0.0051, 0.5583, 0.5784, 0.47890000000000005, 0.5617, -0.0118, 0.34400000000000003, 0.5135000000000001, -0.0049, 0.111, 0.4046, 0.5428000000000001, 0.14, 0.5851000000000001, 0.5601, -0.0046, 0.3679, 0.0049, 0.054, 0.2472, -0.0053], \"bitstrings\": [\"10010100110\", \"00010100110\"], \"total_optimization_steps\": 60, \"probabilities\": [0.08263965390743015, 0.0960694464672487], \"optimization_time\": 20.094489336013794}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(4) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(1) @ Z(7) @ Z(6)) + -0.125 * (Z(1) @ Z(8) @ Z(6)) + -0.125 * (Z(1) @ Z(7) @ Z(8)) + -0.125 * (Z(6) @ Z(7) @ Z(8)) + 0.125 * (Z(1) @ Z(7) @ Z(8) @ Z(6)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(9) @ Z(4)) + 0.125 * (Z(10) @ Z(4)) + 0.125 * (Z(6) @ Z(9)) + 0.125 * (Z(10) @ Z(6)) + 0.125 * (Z(10) @ Z(9)) + -0.125 * (Z(6) @ Z(9) @ Z(4)) + -0.125 * (Z(10) @ Z(6) @ Z(4)) + -0.125 * (Z(10) @ Z(9) @ Z(4)) + -0.125 * (Z(10) @ Z(6) @ Z(9)) + 0.125 * (Z(9) @ Z(10) @ Z(6) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(10) @ Z(2)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(10) @ Z(7)) + -0.125 * (Z(7) @ Z(2) @ Z(5)) + -0.125 * (Z(10) @ Z(2) @ Z(5)) + -0.125 * (Z(10) @ Z(7) @ Z(2)) + -0.125 * (Z(10) @ Z(7) @ Z(5)) + 0.125 * (Z(10) @ Z(7) @ Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.125 * Z(0) + 0.25 * Z(1) + 0.25 * Z(2) + -0.125 * Z(3) + 0.125 * Z(4) + 0.125 * Z(5) + 0.25 * Z(6) + 0.25 * Z(7) + -0.125 * Z(8) + -0.625 * Z(9) + 0.25 * Z(10)",14,11,2,"{\"smallest_eigenvalues\": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], \"number_of_smallest_eigenvalues\": 13, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"00011001010\", \"00010110010\", \"01010100010\", \"01000100110\", \"00100100110\", \"00101000110\", \"10000100110\", \"10000001110\", \"10000000111\", \"10010001010\", \"00010101010\", \"00010100110\", \"10100000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.4988) q[0];\nry(0.5945) q[1];\nry(0.5927) q[2];\nry(0.3308) q[3];\nry(0.5994) q[4];\nry(0.3489) q[5];\nry(0.6056) q[6];\nry(0.5975) q[7];\nry(0.1585) q[8];\nry(0) q[9];\nry(0.6028) q[10];\ncrx(0.5928) q[10], q[0];\ncrx(0.1813) q[9], q[10];\ncrx(0.0033) q[8], q[9];\ncrx(-0.2003) q[7], q[8];\ncrx(0.1646) q[6], q[7];\ncrx(0.5932) q[5], q[6];\ncrx(-0.0962) q[4], q[5];\ncrx(0.5778) q[3], q[4];\ncrx(-0.2148) q[2], q[3];\ncrx(0.0015) q[1], q[2];\ncrx(0.5871) q[0], q[1];\nry(0.4307) q[0];\nry(0.5995) q[1];\nry(0.5934) q[2];\nry(0.2891) q[3];\nry(0.6041) q[4];\nry(0.3306) q[5];\nry(0.6001) q[6];\nry(0.5961) q[7];\nry(0.1578) q[8];\nry(-0.0005) q[9];\nry(0.6033) q[10];\ncrx(-0.0064) q[10], q[9];\ncrx(0.5874) q[0], q[10];\ncrx(0.588) q[0], q[1];\ncrx(0.3735) q[1], q[2];\ncrx(-0.0627) q[2], q[3];\ncrx(0.5738) q[3], q[4];\ncrx(0.0198) q[4], q[5];\ncrx(0.5881) q[5], q[6];\ncrx(0.3778) q[6], q[7];\ncrx(-0.0466) q[7], q[8];\ncrx(0.0064) q[8], q[9];\nry(0.3471) q[0];\nry(0.5946) q[1];\nry(0.5906) q[2];\nry(0.2503) q[3];\nry(0.598) q[4];\nry(0.3198) q[5];\nry(0.605) q[6];\nry(0.5922) q[7];\nry(0.1497) q[8];\nry(0.0006) q[9];\nry(0.597) q[10];\ncrx(0.3055) q[10], q[0];\ncrx(0.2472) q[9], q[10];\ncrx(0.0049) q[8], q[9];\ncrx(-0.0046) q[7], q[8];\ncrx(0.5851) q[6], q[7];\ncrx(0.5428) q[5], q[6];\ncrx(0.111) q[4], q[5];\ncrx(0.5135) q[3], q[4];\ncrx(-0.0118) q[2], q[3];\ncrx(0.4789) q[1], q[2];\ncrx(0.5583) q[0], q[1];\nry(0.3271) q[0];\nry(0.5965) q[1];\nry(0.5956) q[2];\nry(0.2051) q[3];\nry(0.6026) q[4];\nry(0.2878) q[5];\nry(0.5997) q[6];\nry(0.5952) q[7];\nry(0.1428) q[8];\nry(0.0048) q[9];\nry(0.5985) q[10];\ncrx(-0.0051) q[10], q[9];\ncrx(0.5784) q[0], q[10];\ncrx(0.5617) q[0], q[1];\ncrx(0.344) q[1], q[2];\ncrx(-0.0049) q[2], q[3];\ncrx(0.4046) q[3], q[4];\ncrx(0.14) q[4], q[5];\ncrx(0.5601) q[5], q[6];\ncrx(0.3679) q[6], q[7];\ncrx(0.054) q[7], q[8];\ncrx(-0.0053) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrx(x11) q[10], q[0];\ncrx(x12) q[9], q[10];\ncrx(x13) q[8], q[9];\ncrx(x14) q[7], q[8];\ncrx(x15) q[6], q[7];\ncrx(x16) q[5], q[6];\ncrx(x17) q[4], q[5];\ncrx(x18) q[3], q[4];\ncrx(x19) q[2], q[3];\ncrx(x20) q[1], q[2];\ncrx(x21) q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncrx(x33) q[10], q[9];\ncrx(x34) q[0], q[10];\ncrx(x35) q[0], q[1];\ncrx(x36) q[1], q[2];\ncrx(x37) q[2], q[3];\ncrx(x38) q[3], q[4];\ncrx(x39) q[4], q[5];\ncrx(x40) q[5], q[6];\ncrx(x41) q[6], q[7];\ncrx(x42) q[7], q[8];\ncrx(x43) q[8], q[9];\nry(x44) q[0];\nry(x45) q[1];\nry(x46) q[2];\nry(x47) q[3];\nry(x48) q[4];\nry(x49) q[5];\nry(x50) q[6];\nry(x51) q[7];\nry(x52) q[8];\nry(x53) q[9];\nry(x54) q[10];\ncrx(x55) q[10], q[0];\ncrx(x56) q[9], q[10];\ncrx(x57) q[8], q[9];\ncrx(x58) q[7], q[8];\ncrx(x59) q[6], q[7];\ncrx(x60) q[5], q[6];\ncrx(x61) q[4], q[5];\ncrx(x62) q[3], q[4];\ncrx(x63) q[2], q[3];\ncrx(x64) q[1], q[2];\ncrx(x65) q[0], q[1];\nry(x66) q[0];\nry(x67) q[1];\nry(x68) q[2];\nry(x69) q[3];\nry(x70) q[4];\nry(x71) q[5];\nry(x72) q[6];\nry(x73) q[7];\nry(x74) q[8];\nry(x75) q[9];\nry(x76) q[10];\ncrx(x77) q[10], q[9];\ncrx(x78) q[0], q[10];\ncrx(x79) q[0], q[1];\ncrx(x80) q[1], q[2];\ncrx(x81) q[2], q[3];\ncrx(x82) q[3], q[4];\ncrx(x83) q[4], q[5];\ncrx(x84) q[5], q[6];\ncrx(x85) q[6], q[7];\ncrx(x86) q[7], q[8];\ncrx(x87) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["44bf747c04df002d53e645dfd7a3d1de","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [57, 51], \"expectation_value\": -3.9998627048047277, \"params\": null, \"bitstrings\": [\"1000110\", \"1001100\"], \"total_optimization_steps\": 32, \"probabilities\": [1.717947575678403e-05, 0.99991183969953], \"optimization_time\": 25.851770401000977}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(5) + -0.5 * Z(4)",1,7,3,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[0];\nry(-1.4449) q[3];\nry(-1.4449) q[4];\nry(1.4449) q[1];\nry(1.4417) q[2];\nry(1.4417) q[6];\nry(1.4384) q[5];\ncry(-0.1259) q[6], q[4];\ncry(-0.1259) q[5], q[3];\ncry(0.1246) q[1], q[5];\ncry(0.1218) q[5], q[2];\ncry(0.1216) q[2], q[6];\ncry(0.1186) q[2], q[1];\ncry(-0.0027) q[6], q[0];\ncry(-0.0005) q[6], q[3];\ncry(-0.0005) q[5], q[4];\ncry(0.0076) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":17821,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4417) q[2];\\nry(1.4417) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4417) q[2];\\nry(1.4417) q[6];\\nry(1.4384) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4417) q[2];\\nry(1.4417) q[6];\\nry(1.4384) q[5];\\ncry(-0.1259) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4417) q[2];\\nry(1.4417) q[6];\\nry(1.4384) q[5];\\ncry(-0.1259) q[6], q[4];\\ncry(-0.1259) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\nry(-1.4449) q[3];\\nry(-1.4449) q[4];\\nry(1.4449) q[1];\\nry(1.4417) q[2];\\nry(1.4417) q[6];\\nry(1.4384) q[5];\\ncry(-0.1259) q[6], q[4];\\ncry(-0.1259) q[5], q[3];\\ncry(0.1246) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[0];\\"}}]
["0df4df25c74ca38eb293288a64f6d090","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 2}, {\"weight\": 2, \"source\": 2, \"target\": 3}, {\"weight\": 16, \"source\": 2, \"target\": 6}, {\"weight\": 19, \"source\": 3, \"target\": 6}, {\"weight\": 14, \"source\": 3, \"target\": 4}, {\"weight\": 9, \"source\": 4, \"target\": 5}, {\"weight\": 20, \"source\": 5, \"target\": 6}]}","{\"states\": [125, 93], \"expectation_value\": -45.00140435206537, \"params\": null, \"bitstrings\": [\"10000010\", \"10100010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.15666428943704894, 0.3398361120055857], \"optimization_time\": 144.75936651229858}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 11.0 * Z(4) + 17.5 * Z(5) + 4.5 * Z(6) + 14.0 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-66.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -59.0, \"smallest_bitstrings\": [\"10100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) q[5];\nry(-5.0831) q[3];\nry(0.2364) q[4];\ncry(0.3246) q[5], q[4];\nry(0.0001) q[7];\ncry(0.0011) q[5], q[7];\nry(0.0002) q[1];\ncry(0.001) q[5], q[1];\ncry(0.1278) q[3], q[7];\ncry(0.1327) q[3], q[1];\ncry(-0.1709) q[3], q[4];\ncry(0.7317) q[4], q[7];\ncry(0.3729) q[7], q[1];\ncry(-0.4826) q[1], q[0];\ncry(-0.3473) q[7], q[4];\ncry(0.3599) q[1], q[4];\ncry(-0.3196) q[4], q[1];\ncry(1.1484) q[6], q[1];\nry(0.1376) q[0];\ncry(-0.0044) q[5], q[0];\ncry(-0.0646) q[3], q[0];\ncry(-0.5544) q[7], q[0];\ncry(-1.5589) q[4], q[2];\ncry(-9.2121) q[5], q[3];\ncry(-7.742) q[1], q[7];\nry(0.4488) q[6];\ncry(0.8262) q[6], q[7];\nry(2.1736) q[2];\ncry(1.9121) q[2], q[7];\ncry(-1.0971) q[2], q[1];\ncry(0.0478) q[2], q[0];\ncry(-0.6422) q[6], q[0];\ncry(-0.3084) q[4], q[0];\ncry(1.2483) q[2], q[4];\ncry(-2.057) q[7], q[6];\ncry(0.2463) q[1], q[6];\ncry(-3.008) q[4], q[3];\ncry(-3.6037) q[7], q[2];\ncry(-0.2202) q[3], q[2];\ncry(0.0645) q[5], q[2];\ncry(0.0019) q[1], q[2];\ncry(1.5707) q[6], q[2];\ncry(-0.2133) q[4], q[6];\ncry(-0.7231) q[0], q[1];\ncry(0.7968) q[0], q[6];\ncry(-1.5585) q[3], q[5];\ncry(4.0575) q[4], q[5];\ncry(-3.8711) q[1], q[5];\ncry(0.8797) q[7], q[5];\ncry(2.305) q[6], q[5];\ncry(-1.5172) q[7], q[3];\ncry(0.5684) q[1], q[3];\ncry(0.9699) q[0], q[5];\ncry(0.6621) q[0], q[3];\ncry(0.5612) q[2], q[5];\ncry(0.1409) q[6], q[3];\ncry(0.0354) q[5], q[6];\ncry(0.0837) q[6], q[4];\ncry(-0.0229) q[3], q[6];\ncry(-0.0564) q[2], q[6];\ncry(0.0598) q[0], q[7];\ncry(-0.0565) q[0], q[4];\ncry(-0.0542) q[0], q[2];\ncry(-0.0207) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}",{"$cut":{"chars":136747,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nry(-5.0831) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nry(-5.0831) q[3];\\nry(0.2364) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nry(-5.0831) q[3];\\nry(0.2364) q[4];\\ncry(0.3246) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nry(-5.0831) q[3];\\nry(0.2364) q[4];\\ncry(0.3246) q[5], q[4];\\nry(0.0001) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nry(-5.0831) q[3];\\nry(0.2364) q[4];\\ncry(0.3246) q[5], q[4];\\nry(0.0001) q[7];\\ncry(0.0011) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nry(-5.0831) q[3];\\nry(0.2364) q[4];\\ncry(0.3246) q[5], q[4];\\nry(0.0001) q[7];\\ncry(0.0011) q[5], q[7];\\nry(0.0002) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nry(-5.0831) q[3];\\nry(0.2364) q[4];\\ncry(0.3246) q[5], q[4];\\nry(0.0001) q[7];\\ncry(0.0011) q[5], q[7];\\nry(0.0002) q[1];\\ncry(0.001) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nry(-5.0831) q[3];\\nry(0.2364) q[4];\\ncry(0.3246) q[5], q[4];\\nry(0.0001) q[7];\\ncry(0.0011) q[5], q[7];\\nry(0.0002) q[1];\\ncry(0.001) q[5], q[1];\\ncry(0.1278) q[3], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(7.7632) q[5];\\nry(-5.0831) q[3];\\nry(0.2364) q[4];\\ncry(0.3246) q[5], q[4];\\nry(0.0001) q[7];\\ncry(0.0011) q[5], q[7];\\nry(0.0002) q[1];\\ncry(0.001) q[5], q[1];\\ncry(0.127"}}]
["50ae2479d5601754158b9fc59193bb01","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}]}","{\"states\": [236, 204], \"expectation_value\": -2.4451991501703714, \"params\": [[[0.1552, 0.0038], [0.6979000000000001, -0.0023], [0.4909, -0.0166], [-0.025500000000000002, -0.013000000000000001], [0.6971, 0.3105], [0.6991, 0.46330000000000005], [0.7005, 0.6829000000000001], [0.48610000000000003, 0.6325000000000001]], [[0.1325, -0.0077], [0.6981, 0.0126], [0.4868, 0.0391], [0.2655, 0.0077], [0.7006, -0.0528], [0.7085, 0.3451], [0.024800000000000003, 0.15940000000000001], [0.6982, 0.42760000000000004]], [[0.5916, 0.0032], [0.7035, 0.0049], [0.4888, -0.006200000000000001], [-0.23170000000000002, 0.0051], [0.7003, -0.11130000000000001], [0.7003, -0.0228], [0.547, 0.1686], [-0.5262, 0.2544]]], \"bitstrings\": [\"00010011\", \"00110011\"], \"total_optimization_steps\": 70, \"probabilities\": [0.1109577460741073, 0.13763362486874103], \"optimization_time\": 10.221765279769897}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(7) @ Z(2)) + 0.125 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + -0.125 * Z(4) + 0.125 * Z(5) + -0.625 * Z(3) + -1.0 * Z(6) + -0.25 * Z(7)",15,8,3,"{\"smallest_eigenvalues\": [-3.625, -3.625, -3.625, -3.625], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.625, \"smallest_bitstrings\": [\"00110011\", \"10010011\", \"01010011\", \"00111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(0.1552) q[0];\nry(0.6979) q[1];\nry(0.4909) q[2];\nry(-0.0255) q[3];\nry(0.6971) q[4];\nry(0.6991) q[5];\nry(0.7005) q[6];\nry(0.4861) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0038) q[0];\nry(-0.0023) q[1];\nry(-0.0166) q[2];\nry(-0.013) q[3];\nry(0.3105) q[4];\nry(0.4633) q[5];\nry(0.6829) q[6];\nry(0.6325) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(0.1325) q[0];\nry(0.6981) q[1];\nry(0.4868) q[2];\nry(0.2655) q[3];\nry(0.7006) q[4];\nry(0.7085) q[5];\nry(0.0248) q[6];\nry(0.6982) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0077) q[0];\nry(0.0126) q[1];\nry(0.0391) q[2];\nry(0.0077) q[3];\nry(-0.0528) q[4];\nry(0.3451) q[5];\nry(0.1594) q[6];\nry(0.4276) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(0.5916) q[0];\nry(0.7035) q[1];\nry(0.4888) q[2];\nry(-0.2317) q[3];\nry(0.7003) q[4];\nry(0.7003) q[5];\nry(0.547) q[6];\nry(-0.5262) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0032) q[0];\nry(0.0049) q[1];\nry(-0.0062) q[2];\nry(0.0051) q[3];\nry(-0.1113) q[4];\nry(-0.0228) q[5];\nry(0.1686) q[6];\nry(0.2544) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x9) q[1];\nry(x10) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(x16) q[0];\nry(x17) q[1];\nry(x18) q[2];\nry(x19) q[3];\nry(x20) q[4];\nry(x21) q[5];\nry(x22) q[6];\nry(x23) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nry(x32) q[0];\nry(x33) q[1];\nry(x34) q[2];\nry(x35) q[3];\nry(x36) q[4];\nry(x36) q[5];\nry(x37) q[6];\nry(x38) q[7];\ncx q[7], q[0];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x39) q[0];\nry(x40) q[1];\nry(x41) q[2];\nry(x42) q[3];\nry(x43) q[4];\nry(x44) q[5];\nry(x45) q[6];\nry(x46) q[7];\ncx q[7], q[6];\ncx q[0], q[7];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["15981867526b451292338ffade4ee93e","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}]}","{\"states\": [21, 42], \"expectation_value\": -1.0902561303190461, \"params\": [[-0.07300000000000001, -0.07690000000000001, -0.07540000000000001, -0.0844], [0.0699, 0.0732, 0.07060000000000001, 0.07490000000000001]], \"bitstrings\": [\"101010\", \"010101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.04018811369186938, 0.0401881136918694], \"optimization_time\": 6.110621690750122}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4)",1,6,4,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"010101\", \"101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.073) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.073) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(-0.073) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(-0.073) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(-0.073) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.073) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(-0.073) q[4];\ncx q[5], q[4];\nrz(0.146) q[1];\nrz(0.146) q[0];\nrz(0.073) q[3];\nrz(0.073) q[5];\nrz(0.073) q[2];\nrz(0.073) q[4];\nh q[0];\nrz(0.1398) q[0];\nh q[0];\nh q[1];\nrz(0.1398) q[1];\nh q[1];\nh q[2];\nrz(0.1398) q[2];\nh q[2];\nh q[3];\nrz(0.1398) q[3];\nh q[3];\nh q[4];\nrz(0.1398) q[4];\nh q[4];\nh q[5];\nrz(0.1398) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0769) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.0769) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(-0.0769) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(-0.0769) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(-0.0769) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.0769) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(-0.0769) q[4];\ncx q[5], q[4];\nrz(0.1538) q[1];\nrz(0.1538) q[0];\nrz(0.0769) q[3];\nrz(0.0769) q[5];\nrz(0.0769) q[2];\nrz(0.0769) q[4];\nh q[0];\nrz(0.1464) q[0];\nh q[0];\nh q[1];\nrz(0.1464) q[1];\nh q[1];\nh q[2];\nrz(0.1464) q[2];\nh q[2];\nh q[3];\nrz(0.1464) q[3];\nh q[3];\nh q[4];\nrz(0.1464) q[4];\nh q[4];\nh q[5];\nrz(0.1464) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0754) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.0754) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(-0.0754) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(-0.0754) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(-0.0754) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.0754) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(-0.0754) q[4];\ncx q[5], q[4];\nrz(0.1508) q[1];\nrz(0.1508) q[0];\nrz(0.0754) q[3];\nrz(0.0754) q[5];\nrz(0.0754) q[2];\nrz(0.0754) q[4];\nh q[0];\nrz(0.1412) q[0];\nh q[0];\nh q[1];\nrz(0.1412) q[1];\nh q[1];\nh q[2];\nrz(0.1412) q[2];\nh q[2];\nh q[3];\nrz(0.1412) q[3];\nh q[3];\nh q[4];\nrz(0.1412) q[4];\nh q[4];\nh q[5];\nrz(0.1412) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0844) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.0844) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(-0.0844) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(-0.0844) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(-0.0844) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.0844) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(-0.0844) q[4];\ncx q[5], q[4];\nrz(0.1688) q[1];\nrz(0.1688) q[0];\nrz(0.0844) q[3];\nrz(0.0844) q[5];\nrz(0.0844) q[2];\nrz(0.0844) q[4];\nh q[0];\nrz(0.1498) q[0];\nh q[0];\nh q[1];\nrz(0.1498) q[1];\nh q[1];\nh q[2];\nrz(0.1498) q[2];\nh q[2];\nh q[3];\nrz(0.1498) q[3];\nh q[3];\nh q[4];\nrz(0.1498) q[4];\nh q[4];\nh q[5];\nrz(0.1498) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[2];\nrz(x2) q[4];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x4) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(x4) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x4) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x4) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x4) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x4) q[4];\ncx q[5], q[4];\nrz(x5) q[1];\nrz(x5) q[0];\nrz(x6) q[3];\nrz(x6) q[5];\nrz(x6) q[2];\nrz(x6) q[4];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x8) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(x8) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x8) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x8) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x8) q[4];\ncx q[5], q[4];\nrz(x9) q[1];\nrz(x9) q[0];\nrz(x10) q[3];\nrz(x10) q[5];\nrz(x10) q[2];\nrz(x10) q[4];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x12) q[3];\ncx q[0], q[3];\ncx q[0], q[5];\nrz(x12) q[5];\ncx q[0], q[5];\ncx q[1], q[2];\nrz(x12) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x12) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x12) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x12) q[4];\ncx q[5], q[4];\nrz(x13) q[1];\nrz(x13) q[0];\nrz(x14) q[3];\nrz(x14) q[5];\nrz(x14) q[2];\nrz(x14) q[4];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["4d70328aecc8c1ea3157fc10838636c1","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 4}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [38, 7], \"expectation_value\": -2.0865227319060557, \"params\": [[-0.0267, -0.038], [0.0095, 0.0333]], \"bitstrings\": [\"1011001\", \"1111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00938433255462504, 0.009616788803351952], \"optimization_time\": 5.257248878479004}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.5 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.25 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.25 * (Z(6) @ Z(4)) + -3.5 * Z(1) + -3.25 * Z(0) + -3.25 * Z(2) + -3.5 * Z(3) + -3.0 * Z(5) + -3.0 * Z(4) + -3.0 * Z(6)",16,7,2,"{\"smallest_eigenvalues\": [-13.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.1202) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1202) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1202) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1202) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1202) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1202) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(-0.1202) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.1335) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.1335) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.1335) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(-0.1335) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1335) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1335) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.1335) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(-0.1202) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(-0.1335) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.1335) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.1335) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.1202) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.1335) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(-0.1202) q[6];\ncx q[4], q[6];\nrz(0.1869) q[1];\nrz(0.1736) q[0];\nrz(0.1736) q[2];\nrz(0.1869) q[3];\nrz(0.1602) q[5];\nrz(0.1602) q[4];\nrz(0.1602) q[6];\nh q[0];\nrz(0.019) q[0];\nh q[0];\nh q[1];\nrz(0.019) q[1];\nh q[1];\nh q[2];\nrz(0.019) q[2];\nh q[2];\nh q[3];\nrz(0.019) q[3];\nh q[3];\nh q[4];\nrz(0.019) q[4];\nh q[4];\nh q[5];\nrz(0.019) q[5];\nh q[5];\nh q[6];\nrz(0.019) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.171) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.171) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.171) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.171) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.171) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.171) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(-0.171) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.19) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.19) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.19) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(-0.19) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.19) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.19) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.19) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(-0.171) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(-0.19) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.19) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.19) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.171) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.19) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(-0.171) q[6];\ncx q[4], q[6];\nrz(0.266) q[1];\nrz(0.247) q[0];\nrz(0.247) q[2];\nrz(0.266) q[3];\nrz(0.228) q[5];\nrz(0.228) q[4];\nrz(0.228) q[6];\nh q[0];\nrz(0.0666) q[0];\nh q[0];\nh q[1];\nrz(0.0666) q[1];\nh q[1];\nh q[2];\nrz(0.0666) q[2];\nh q[2];\nh q[3];\nrz(0.0666) q[3];\nh q[3];\nh q[4];\nrz(0.0666) q[4];\nh q[4];\nh q[5];\nrz(0.0666) q[5];\nh q[5];\nh q[6];\nrz(0.0666) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x3) q[2];\nrz(x2) q[3];\nrz(x4) q[5];\nrz(x4) q[4];\nrz(x4) q[6];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x7) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x7) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x7) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x7) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x7) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\ncx q[1], q[6];\nrz(x7) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x7) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x7) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x6) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x7) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x6) q[6];\ncx q[4], q[6];\nrz(x8) q[1];\nrz(x9) q[0];\nrz(x9) q[2];\nrz(x8) q[3];\nrz(x10) q[5];\nrz(x10) q[4];\nrz(x10) q[6];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["ae05ce72b7df15983d820553f894fc63","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 7, \"target\": 8}]}","{\"states\": [255, 223], \"expectation_value\": -0.2426201838714545, \"params\": [[0.062400000000000004], [-0.0644]], \"bitstrings\": [\"00000000\", \"00100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004688248061015739, 0.0047639248282284625], \"optimization_time\": 1.994722843170166}","-1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(2)",5,8,1,"{\"smallest_eigenvalues\": [-8.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.5, \"smallest_bitstrings\": [\"00100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.1248) q[0];\ncx q[1], q[0];\ncx q[4], q[3];\nrz(-0.1872) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(0.0624) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.1872) q[5];\ncx q[3], q[5];\ncx q[7], q[6];\nrz(-0.1248) q[6];\ncx q[7], q[6];\nrz(0.0624) q[1];\nrz(0.0624) q[0];\nrz(0.0624) q[4];\nrz(0.0624) q[3];\nrz(0.0624) q[5];\nrz(0.0624) q[7];\nrz(0.0624) q[6];\nrz(-0.0624) q[2];\nh q[0];\nrz(-0.1288) q[0];\nh q[0];\nh q[1];\nrz(-0.1288) q[1];\nh q[1];\nh q[2];\nrz(-0.1288) q[2];\nh q[2];\nh q[3];\nrz(-0.1288) q[3];\nh q[3];\nh q[4];\nrz(-0.1288) q[4];\nh q[4];\nh q[5];\nrz(-0.1288) q[5];\nh q[5];\nh q[6];\nrz(-0.1288) q[6];\nh q[6];\nh q[7];\nrz(-0.1288) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[4];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[7];\nrz(x2) q[6];\nrz(x3) q[2];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["ee3d1657115ac7fe63817a76eff6e74f","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 16, \"source\": 0, \"target\": 4}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 3, \"target\": 5}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 16, \"source\": 4, \"target\": 6}, {\"weight\": 12, \"source\": 5, \"target\": 7}, {\"weight\": 20, \"source\": 5, \"target\": 6}, {\"weight\": 10, \"source\": 6, \"target\": 7}]}","{\"states\": [181, 174], \"expectation_value\": -20.34507536770521, \"params\": [[-0.034800000000000005, -0.0078000000000000005], [0.0695, 0.0548]], \"bitstrings\": [\"101001010\", \"101010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006369534357321195, 0.007352382000497457], \"optimization_time\": 3.4656355381011963}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 12.5 * Z(1) + -3.0 * Z(0) + 15.0 * Z(3) + -2.5 * Z(2) + 15.5 * Z(4) + 17.0 * Z(5) + 23.5 * Z(6) + 15.0 * Z(7) + 9.5 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-86.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -78.0, \"smallest_bitstrings\": [\"101010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.3132) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.3132) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.3132) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.3132) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.3132) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.3132) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.3132) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.3132) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.3132) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.3132) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.3132) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.3132) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(-0.3132) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(-0.3132) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.3132) q[8];\ncx q[7], q[8];\nrz(-0.87) q[1];\nrz(0.2088) q[0];\nrz(-1.044) q[3];\nrz(0.174) q[2];\nrz(-1.0788) q[4];\nrz(-1.1832) q[5];\nrz(-1.6356) q[6];\nrz(-1.044) q[7];\nrz(-0.6612) q[8];\nh q[0];\nrz(0.139) q[0];\nh q[0];\nh q[1];\nrz(0.139) q[1];\nh q[1];\nh q[2];\nrz(0.139) q[2];\nh q[2];\nh q[3];\nrz(0.139) q[3];\nh q[3];\nh q[4];\nrz(0.139) q[4];\nh q[4];\nh q[5];\nrz(0.139) q[5];\nh q[5];\nh q[6];\nrz(0.139) q[6];\nh q[6];\nh q[7];\nrz(0.139) q[7];\nh q[7];\nh q[8];\nrz(0.139) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.0702) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0702) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.0702) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.0702) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0702) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0702) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.0702) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0702) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0702) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.0702) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0702) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0702) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(-0.0702) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(-0.0702) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.0702) q[8];\ncx q[7], q[8];\nrz(-0.195) q[1];\nrz(0.0468) q[0];\nrz(-0.234) q[3];\nrz(0.039) q[2];\nrz(-0.2418) q[4];\nrz(-0.2652) q[5];\nrz(-0.3666) q[6];\nrz(-0.234) q[7];\nrz(-0.1482) q[8];\nh q[0];\nrz(0.1096) q[0];\nh q[0];\nh q[1];\nrz(0.1096) q[1];\nh q[1];\nh q[2];\nrz(0.1096) q[2];\nh q[2];\nh q[3];\nrz(0.1096) q[3];\nh q[3];\nh q[4];\nrz(0.1096) q[4];\nh q[4];\nh q[5];\nrz(0.1096) q[5];\nh q[5];\nh q[6];\nrz(0.1096) q[6];\nh q[6];\nh q[7];\nrz(0.1096) q[7];\nh q[7];\nh q[8];\nrz(0.1096) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x3) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x10) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(x10) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x10) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x10) q[8];\ncx q[7], q[8];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[3];\nrz(x14) q[2];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x13) q[7];\nrz(x18) q[8];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nh q[8];\nrz(x19) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["9ac96037cdc1ad997cf71b68bb905d0e","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 7}, {\"weight\": 9, \"source\": 1, \"target\": 8}, {\"weight\": 15, \"source\": 1, \"target\": 11}, {\"weight\": 16, \"source\": 1, \"target\": 9}, {\"weight\": 7, \"source\": 2, \"target\": 9}, {\"weight\": 3, \"source\": 3, \"target\": 10}, {\"weight\": 11, \"source\": 3, \"target\": 12}, {\"weight\": 14, \"source\": 3, \"target\": 8}, {\"weight\": 2, \"source\": 4, \"target\": 11}, {\"weight\": 14, \"source\": 4, \"target\": 9}, {\"weight\": 3, \"source\": 5, \"target\": 12}, {\"weight\": 3, \"source\": 6, \"target\": 13}]}","{\"states\": [1844, 1332], \"expectation_value\": -126.42846704994972, \"params\": [0.0025, 0.9284, 1.4005, -0.1693, 0.7714000000000001, -0.3667, 1.3909, -0.2369, 0.4363, -0.443, 0.326, 0.6263000000000001, 1.4051, 0.0014, 1.3975, 0.267, 0.26880000000000004, 0.6677000000000001, 1.3983, -0.0008, 0.0032, -0.8714000000000001, 0.0027, 1.0279, 0.0026000000000000003, 0.0045000000000000005, 1.3986, 0.0024000000000000002, 0.7718, 0.0068000000000000005, 1.3925, 0.0074, 0.4319, 0.0008, 0.32380000000000003, 0.0079, 1.3968, 0.005, 1.3949, 0.009300000000000001, 0.27390000000000003, 0.0017000000000000001, 1.4005, 0.009600000000000001, 0.0032, 0.0034000000000000002, 0.0027, 0.006900000000000001, -1.0127000000000002, -0.8919, -0.3322, -0.3637, -0.44930000000000003, 0.5849, 0.6235, -0.0007, 0.5588000000000001, 0.6575000000000001, -0.0021000000000000003, 0.8794000000000001, 0.00030000000000000003, 0.007, 0.0086, 0.009000000000000001, 0.0006000000000000001, 0.0035, 0.0044, 0.009300000000000001, 0.0029000000000000002, 0.006900000000000001, 0.0022, 0.0061], \"bitstrings\": [\"100011001011\", \"101011001011\"], \"total_optimization_steps\": 140, \"probabilities\": [0.27955918053412965, 0.3523302842146676], \"optimization_time\": 21.428144454956055}","7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(6)) + 12.0 * Z(2) + 15.0 * Z(1) + 23.0 * Z(3) + 3.5 * Z(4) + 14.5 * Z(7) + 13.0 * Z(6) + 1.5 * Z(5) + 14.5 * Z(9) + 1.0 * Z(8) + -6.0 * Z(10) + -14.0 * Z(0) + -13.5 * Z(11)",18,12,2,"{\"smallest_eigenvalues\": [-148.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -127.0, \"smallest_bitstrings\": [\"101011001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.0025) q[0];\nrz(0.9284) q[0];\nrx(1.4005) q[1];\nrz(-0.1693) q[1];\nrx(0.7714) q[2];\nrz(-0.3667) q[2];\nrx(1.3909) q[3];\nrz(-0.2369) q[3];\nrx(0.4363) q[4];\nrz(-0.443) q[4];\nrx(0.326) q[5];\nrz(0.6263) q[5];\nrx(1.4051) q[6];\nrz(0.0014) q[6];\nrx(1.3975) q[7];\nrz(0.267) q[7];\nrx(0.2688) q[8];\nrz(0.6677) q[8];\nrx(1.3983) q[9];\nrz(-0.0008) q[9];\nrx(0.0032) q[10];\nrz(-0.8714) q[10];\nrx(0.0027) q[11];\nrz(1.0279) q[11];\ncrz(-1.0127) q[11], q[0];\ncrz(0.8794) q[10], q[11];\ncrz(-0.0021) q[9], q[10];\ncrz(0.6575) q[8], q[9];\ncrz(0.5588) q[7], q[8];\ncrz(-0.0007) q[6], q[7];\ncrz(0.6235) q[5], q[6];\ncrz(0.5849) q[4], q[5];\ncrz(-0.4493) q[3], q[4];\ncrz(-0.3637) q[2], q[3];\ncrz(-0.3322) q[1], q[2];\ncrz(-0.8919) q[0], q[1];\nrx(0.0026) q[0];\nrz(0.0045) q[0];\nrx(1.3986) q[1];\nrz(0.0024) q[1];\nrx(0.7718) q[2];\nrz(0.0068) q[2];\nrx(1.3925) q[3];\nrz(0.0074) q[3];\nrx(0.4319) q[4];\nrz(0.0008) q[4];\nrx(0.3238) q[5];\nrz(0.0079) q[5];\nrx(1.3968) q[6];\nrz(0.005) q[6];\nrx(1.3949) q[7];\nrz(0.0093) q[7];\nrx(0.2739) q[8];\nrz(0.0017) q[8];\nrx(1.4005) q[9];\nrz(0.0096) q[9];\nrx(0.0032) q[10];\nrz(0.0034) q[10];\nrx(0.0027) q[11];\nrz(0.0069) q[11];\ncrz(0.0003) q[11], q[0];\ncrz(0.0061) q[10], q[11];\ncrz(0.0022) q[9], q[10];\ncrz(0.0069) q[8], q[9];\ncrz(0.0029) q[7], q[8];\ncrz(0.0093) q[6], q[7];\ncrz(0.0044) q[5], q[6];\ncrz(0.0035) q[4], q[5];\ncrz(0.0006) q[3], q[4];\ncrz(0.009) q[2], q[3];\ncrz(0.0086) q[1], q[2];\ncrz(0.007) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[11], q[0];\ncrz(x25) q[10], q[11];\ncrz(x26) q[9], q[10];\ncrz(x27) q[8], q[9];\ncrz(x28) q[7], q[8];\ncrz(x29) q[6], q[7];\ncrz(x30) q[5], q[6];\ncrz(x31) q[4], q[5];\ncrz(x32) q[3], q[4];\ncrz(x33) q[2], q[3];\ncrz(x34) q[1], q[2];\ncrz(x35) q[0], q[1];\nrx(x36) q[0];\nrz(x37) q[0];\nrx(x38) q[1];\nrz(x39) q[1];\nrx(x40) q[2];\nrz(x41) q[2];\nrx(x42) q[3];\nrz(x43) q[3];\nrx(x44) q[4];\nrz(x45) q[4];\nrx(x46) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\nrx(x50) q[7];\nrz(x51) q[7];\nrx(x52) q[8];\nrz(x53) q[8];\nrx(x2) q[9];\nrz(x54) q[9];\nrx(x20) q[10];\nrz(x55) q[10];\nrx(x22) q[11];\nrz(x56) q[11];\ncrz(x57) q[11], q[0];\ncrz(x58) q[10], q[11];\ncrz(x59) q[9], q[10];\ncrz(x56) q[8], q[9];\ncrz(x60) q[7], q[8];\ncrz(x51) q[6], q[7];\ncrz(x61) q[5], q[6];\ncrz(x62) q[4], q[5];\ncrz(x63) q[3], q[4];\ncrz(x64) q[2], q[3];\ncrz(x65) q[1], q[2];\ncrz(x66) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"perfect_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10, 11, 12, 13]}\"}","{\"circuits\": [], \"gradients\": []}"]
["-5806664385067794631","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 1, 5], [1, 3], [1, 2], [4, 6]]}","{\"states\": [33, 35], \"expectation_value\": -1.6230628524505784, \"params\": null, \"bitstrings\": [\"1011110\", \"1011100\"], \"total_optimization_steps\": 45, \"probabilities\": [0.11461247365601185, 0.50624209710057], \"optimization_time\": 47.84106516838074}","0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -1.5000000000000002, \"smallest_bitstrings\": [\"1011100\", \"0100100\", \"0011110\", \"0011011\", \"1011001\", \"0100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[1], q[3];\nry(0.971) q[1];\ncry(-1.3758) q[1], q[2];\nry(-0.6611) q[3];\ncry(-1.0342) q[6], q[4];\nry(0.7003) q[6];\ncry(0.3516) q[6], q[1];\nry(-0.4549) q[4];\ncry(0.471) q[1], q[6];\ncry(-0.3589) q[1], q[4];\ncry(-0.2086) q[6], q[3];\ncry(-0.1573) q[6], q[2];\ncry(0.2127) q[5], q[6];\ncry(-0.3222) q[5], q[0];\nry(0.2874) q[5];\ncry(0.098) q[5], q[1];\ncry(-0.2751) q[0], q[5];\ncry(0.1366) q[0], q[6];\ncry(-0.1242) q[5], q[4];\ncry(0.1782) q[6], q[5];\ncry(-0.1876) q[1], q[0];\ncry(0.1727) q[3], q[2];\ncry(0.1533) q[1], q[5];\ncry(-0.1346) q[6], q[0];\ncry(0.1478) q[2], q[3];\ncry(0.1144) q[4], q[1];\ncry(0.1236) q[3], q[5];\ncry(0.1) q[2], q[5];\nry(-0.0823) q[0];\ncry(0.0914) q[3], q[0];\ncry(-0.0791) q[4], q[6];\ncry(-0.0392) q[5], q[3];\ncry(0.0727) q[3], q[6];\ncry(0.0773) q[2], q[0];\ncry(0.0572) q[2], q[6];\ncry(-0.0468) q[0], q[4];\ncry(-0.0509) q[3], q[1];\ncry(0.0364) q[0], q[1];\ncry(-0.0263) q[5], q[2];\ncry(-0.0451) q[2], q[1];\ncry(0.0395) q[4], q[5];\ncry(0.0184) q[0], q[2];\ncry(-0.0162) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":37958,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nry(0.971) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nry(0.971) q[1];\\ncry(-1.3758) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nry(0.971) q[1];\\ncry(-1.3758) q[1], q[2];\\nry(-0.6611) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nry(0.971) q[1];\\ncry(-1.3758) q[1], q[2];\\nry(-0.6611) q[3];\\ncry(-1.0342) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nry(0.971) q[1];\\ncry(-1.3758) q[1], q[2];\\nry(-0.6611) q[3];\\ncry(-1.0342) q[6], q[4];\\nry(0.7003) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nry(0.971) q[1];\\ncry(-1.3758) q[1], q[2];\\nry(-0.6611) q[3];\\ncry(-1.0342) q[6], q[4];\\nry(0.7003) q[6];\\ncry(0.3516) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nry(0.971) q[1];\\ncry(-1.3758) q[1], q[2];\\nry(-0.6611) q[3];\\ncry(-1.0342) q[6], q[4];\\nry(0.7003) q[6];\\ncry(0.3516) q[6], q[1];\\nry(-0.4549) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nry(0.971) q[1];\\ncry(-1.3758) q[1], q[2];\\nry(-0.6611) q[3];\\ncry(-1.0342) q[6], q[4];\\nry(0.7003) q[6];\\ncry(0.3516) q[6], q[1];\\nry(-0.4549) q[4];\\ncry(0.471) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[1], q[3];\\nry(0.971) q[1];\\ncry(-1.3758) q[1], q[2];\\nry(-0.6611) q[3];\\ncry(-1.0342) q[6], q[4];\\nry(0.7003) q[6];\\ncry(0.3516) q[6], q[1];\\nry(-0.4549) q[4];\\ncry(0.471) q[1], q[6];\\ncry(-0.3589) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] ="}}]
["1d5830a984622eead42a5eae40078f2f","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}]}","{\"states\": [15, 78], \"expectation_value\": -3.9991050119628366, \"params\": null, \"bitstrings\": [\"1110000\", \"0110001\"], \"total_optimization_steps\": 34, \"probabilities\": [0.0655285222703876, 0.9338466720009756], \"optimization_time\": 26.515655279159546}","0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1110000\", \"0110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nry(-1.4449) q[1];\nry(1.4449) q[4];\nry(1.4417) q[5];\nry(1.4417) q[3];\ncry(-1.0342) q[0], q[6];\nry(0.7003) q[0];\ncry(-0.1259) q[5], q[1];\nry(-0.4549) q[6];\ncry(0.4963) q[4], q[0];\ncry(-0.3789) q[4], q[6];\ncry(0.2489) q[5], q[0];\ncry(-0.1488) q[5], q[6];\ncry(0.1217) q[4], q[3];\ncry(0.1209) q[3], q[5];\ncry(0.1157) q[5], q[4];\ncry(0.0867) q[3], q[0];\ncry(-0.0495) q[3], q[6];\ncry(-0.0005) q[4], q[1];\ncry(0.0074) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":20501,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[4];\\nry(1.4417) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[4];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[4];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-1.0342) q[0], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[4];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-1.0342) q[0], q[6];\\nry(0.7003) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[4];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-1.0342) q[0], q[6];\\nry(0.7003) q[0];\\ncry(-0.1259) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[4];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-1.0342) q[0], q[6];\\nry(0.7003) q[0];\\ncry(-0.1259) q[5], q[1];\\nry(-0.4549) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[2];\\nry(-1.4449) q[1];\\nry(1.4449) q[4];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-1.0342) q[0], q[6];\\nry(0.7003) q[0];\\ncry(-0.1259) q[5], q[1];\\nry(-0.4549) q[6];\\ncry(0.4963) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\n"}}]
["7bc4dde9a09d0b94c5097b219891d81a","community_detection","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 1, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 1, \"target\": 3}, {\"weight\": 1, \"source\": 2, \"target\": 3}]}","{\"states\": [89, 85], \"expectation_value\": -0.15207755407063128, \"params\": [0.2442, -0.1014, 0.2338, -0.109, 0.3106, -0.0734, 0.3149, -0.08990000000000001, 0.266, -0.12240000000000001, 0.24600000000000002, -0.1325, 0.324, -0.0805, 0.3211, -0.0995, 0.2773, -0.1022, 0.2725, -0.11030000000000001, 0.30670000000000003, -0.0945, 0.30360000000000004, -0.1073, 0.3395, 0.1433, 0.32020000000000004, 0.1444, 0.3556, 0.0791, 0.34550000000000003, 0.0819, 0.2386, -0.1015, 0.22660000000000002, -0.111, 0.3143, -0.0886, 0.3064, -0.0985, 0.24150000000000002, -0.126, 0.2147, -0.1371, 0.3211, -0.1024, 0.3118, -0.1119, 0.27090000000000003, -0.1019, 0.25830000000000003, -0.1131, 0.29860000000000003, -0.1046, 0.2898, -0.1109, 0.3129, 0.15560000000000002, 0.2403, 0.1506, 0.3472, 0.10110000000000001, 0.32730000000000004, 0.09720000000000001, 0.2214, -0.1115, 0.2403, 0.0056, 0.29960000000000003, -0.09670000000000001, 0.3124, 0.007, 0.21580000000000002, -0.13670000000000002, 0.2666, 0.0079, 0.3116, -0.1159, 0.3214, 0.0088, 0.2595, -0.11410000000000001, 0.2788, 0.0071, 0.2939, -0.1073, 0.2975, 0.0077, 0.2529, 0.16340000000000002, 0.3607, 0.0098, 0.335, 0.116, 0.3788, 0.0041, 0.0263, 0.0521, -0.1173, -0.07880000000000001, 0.006, 0.0341, 0.1342, 0.1283, -0.12610000000000002, -0.1223, -0.1408, -0.1338, -0.13190000000000002, -0.128, 0.1663, 0.17850000000000002, -0.13820000000000002, -0.13770000000000002, -0.15330000000000002, -0.14980000000000002, -0.1391, -0.1408, 0.19490000000000002, 0.1937], \"bitstrings\": [\"10100110\", \"10101010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.015264751405063014, 0.020593653132204064], \"optimization_time\": 34.459166049957275}","0.25 * (Z(0) @ Z(1)) + -0.001953125 * (Z(2) @ Z(0)) + -0.001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00078125 * (Z(6) @ Z(0)) + -0.00078125 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z(4)) + 0.00078125 * (Z(7) @ Z(1)) + -0.00078125 * (Z(7) @ Z(3)) + -0.0015625 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + -0.0003906249999999778 * Z(1) + -0.0003906249999999778 * Z(0) + -0.003515625000000022 * Z(2) + -0.003515625000000022 * Z(3) + -0.0015624999999999944 * Z(4) + -0.0015624999999999944 * Z(5) + -0.0015624999999999944 * Z(6) + -0.0015624999999999944 * Z(7)",5,8,3,"{\"smallest_eigenvalues\": [-1.0070312500000003, -1.0070312500000003], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.0070312499999998, \"smallest_bitstrings\": [\"10101010\", \"10100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.2442) q[0];\nrz(-0.1014) q[0];\nrx(0.3106) q[1];\nrz(-0.0734) q[1];\nrx(0.266) q[2];\nrz(-0.1224) q[2];\nrx(0.324) q[3];\nrz(-0.0805) q[3];\nrx(0.2773) q[4];\nrz(-0.1022) q[4];\nrx(0.3067) q[5];\nrz(-0.0945) q[5];\nrx(0.3395) q[6];\nrz(0.1433) q[6];\nrx(0.3556) q[7];\nrz(0.0791) q[7];\ncrz(0.1342) q[7], q[6];\ncrz(0.0341) q[7], q[5];\ncrz(0.006) q[7], q[4];\ncrz(-0.0788) q[7], q[3];\ncrz(-0.1173) q[7], q[2];\ncrz(0.0521) q[7], q[1];\ncrz(0.0263) q[7], q[0];\ncrz(0.1283) q[6], q[7];\ncrz(0.0341) q[6], q[5];\ncrz(0.006) q[6], q[4];\ncrz(-0.0788) q[6], q[3];\ncrz(-0.1173) q[6], q[2];\ncrz(0.0521) q[6], q[1];\ncrz(0.0263) q[6], q[0];\ncrz(0.1283) q[5], q[7];\ncrz(0.1342) q[5], q[6];\ncrz(0.006) q[5], q[4];\ncrz(-0.0788) q[5], q[3];\ncrz(-0.1173) q[5], q[2];\ncrz(0.0521) q[5], q[1];\ncrz(0.0263) q[5], q[0];\ncrz(0.1283) q[4], q[7];\ncrz(0.1342) q[4], q[6];\ncrz(0.0341) q[4], q[5];\ncrz(-0.0788) q[4], q[3];\ncrz(-0.1173) q[4], q[2];\ncrz(0.0521) q[4], q[1];\ncrz(0.0263) q[4], q[0];\ncrz(0.1283) q[3], q[7];\ncrz(0.1342) q[3], q[6];\ncrz(0.0341) q[3], q[5];\ncrz(0.006) q[3], q[4];\ncrz(-0.1173) q[3], q[2];\ncrz(0.0521) q[3], q[1];\ncrz(0.0263) q[3], q[0];\ncrz(0.1283) q[2], q[7];\ncrz(0.1342) q[2], q[6];\ncrz(0.0341) q[2], q[5];\ncrz(0.006) q[2], q[4];\ncrz(-0.0788) q[2], q[3];\ncrz(0.0521) q[2], q[1];\ncrz(0.0263) q[2], q[0];\ncrz(0.1283) q[1], q[7];\ncrz(0.1342) q[1], q[6];\ncrz(0.0341) q[1], q[5];\ncrz(0.006) q[1], q[4];\ncrz(-0.0788) q[1], q[3];\ncrz(-0.1173) q[1], q[2];\ncrz(0.0263) q[1], q[0];\ncrz(0.1283) q[0], q[7];\ncrz(0.1342) q[0], q[6];\ncrz(0.0341) q[0], q[5];\ncrz(0.006) q[0], q[4];\ncrz(-0.0788) q[0], q[3];\ncrz(-0.1173) q[0], q[2];\ncrz(0.0521) q[0], q[1];\nrx(0.2338) q[0];\nrz(-0.109) q[0];\nrx(0.3149) q[1];\nrz(-0.0899) q[1];\nrx(0.246) q[2];\nrz(-0.1325) q[2];\nrx(0.3211) q[3];\nrz(-0.0995) q[3];\nrx(0.2725) q[4];\nrz(-0.1103) q[4];\nrx(0.3036) q[5];\nrz(-0.1073) q[5];\nrx(0.3202) q[6];\nrz(0.1444) q[6];\nrx(0.3455) q[7];\nrz(0.0819) q[7];\nrx(0.2386) q[0];\nrz(-0.1015) q[0];\nrx(0.3143) q[1];\nrz(-0.0886) q[1];\nrx(0.2415) q[2];\nrz(-0.126) q[2];\nrx(0.3211) q[3];\nrz(-0.1024) q[3];\nrx(0.2709) q[4];\nrz(-0.1019) q[4];\nrx(0.2986) q[5];\nrz(-0.1046) q[5];\nrx(0.3129) q[6];\nrz(0.1556) q[6];\nrx(0.3472) q[7];\nrz(0.1011) q[7];\ncrz(0.1663) q[7], q[6];\ncrz(-0.128) q[7], q[5];\ncrz(-0.1319) q[7], q[4];\ncrz(-0.1338) q[7], q[3];\ncrz(-0.1408) q[7], q[2];\ncrz(-0.1223) q[7], q[1];\ncrz(-0.1261) q[7], q[0];\ncrz(0.1785) q[6], q[7];\ncrz(-0.128) q[6], q[5];\ncrz(-0.1319) q[6], q[4];\ncrz(-0.1338) q[6], q[3];\ncrz(-0.1408) q[6], q[2];\ncrz(-0.1223) q[6], q[1];\ncrz(-0.1261) q[6], q[0];\ncrz(0.1785) q[5], q[7];\ncrz(0.1663) q[5], q[6];\ncrz(-0.1319) q[5], q[4];\ncrz(-0.1338) q[5], q[3];\ncrz(-0.1408) q[5], q[2];\ncrz(-0.1223) q[5], q[1];\ncrz(-0.1261) q[5], q[0];\ncrz(0.1785) q[4], q[7];\ncrz(0.1663) q[4], q[6];\ncrz(-0.128) q[4], q[5];\ncrz(-0.1338) q[4], q[3];\ncrz(-0.1408) q[4], q[2];\ncrz(-0.1223) q[4], q[1];\ncrz(-0.1261) q[4], q[0];\ncrz(0.1785) q[3], q[7];\ncrz(0.1663) q[3], q[6];\ncrz(-0.128) q[3], q[5];\ncrz(-0.1319) q[3], q[4];\ncrz(-0.1408) q[3], q[2];\ncrz(-0.1223) q[3], q[1];\ncrz(-0.1261) q[3], q[0];\ncrz(0.1785) q[2], q[7];\ncrz(0.1663) q[2], q[6];\ncrz(-0.128) q[2], q[5];\ncrz(-0.1319) q[2], q[4];\ncrz(-0.1338) q[2], q[3];\ncrz(-0.1223) q[2], q[1];\ncrz(-0.1261) q[2], q[0];\ncrz(0.1785) q[1], q[7];\ncrz(0.1663) q[1], q[6];\ncrz(-0.128) q[1], q[5];\ncrz(-0.1319) q[1], q[4];\ncrz(-0.1338) q[1], q[3];\ncrz(-0.1408) q[1], q[2];\ncrz(-0.1261) q[1], q[0];\ncrz(0.1785) q[0], q[7];\ncrz(0.1663) q[0], q[6];\ncrz(-0.128) q[0], q[5];\ncrz(-0.1319) q[0], q[4];\ncrz(-0.1338) q[0], q[3];\ncrz(-0.1408) q[0], q[2];\ncrz(-0.1223) q[0], q[1];\nrx(0.2266) q[0];\nrz(-0.111) q[0];\nrx(0.3064) q[1];\nrz(-0.0985) q[1];\nrx(0.2147) q[2];\nrz(-0.1371) q[2];\nrx(0.3118) q[3];\nrz(-0.1119) q[3];\nrx(0.2583) q[4];\nrz(-0.1131) q[4];\nrx(0.2898) q[5];\nrz(-0.1109) q[5];\nrx(0.2403) q[6];\nrz(0.1506) q[6];\nrx(0.3273) q[7];\nrz(0.0972) q[7];\nrx(0.2214) q[0];\nrz(-0.1115) q[0];\nrx(0.2996) q[1];\nrz(-0.0967) q[1];\nrx(0.2158) q[2];\nrz(-0.1367) q[2];\nrx(0.3116) q[3];\nrz(-0.1159) q[3];\nrx(0.2595) q[4];\nrz(-0.1141) q[4];\nrx(0.2939) q[5];\nrz(-0.1073) q[5];\nrx(0.2529) q[6];\nrz(0.1634) q[6];\nrx(0.335) q[7];\nrz(0.116) q[7];\ncrz(0.1949) q[7], q[6];\ncrz(-0.1408) q[7], q[5];\ncrz(-0.1391) q[7], q[4];\ncrz(-0.1498) q[7], q[3];\ncrz(-0.1533) q[7], q[2];\ncrz(-0.1377) q[7], q[1];\ncrz(-0.1382) q[7], q[0];\ncrz(0.1937) q[6], q[7];\ncrz(-0.1408) q[6], q[5];\ncrz(-0.1391) q[6], q[4];\ncrz(-0.1498) q[6], q[3];\ncrz(-0.1533) q[6], q[2];\ncrz(-0.1377) q[6], q[1];\ncrz(-0.1382) q[6], q[0];\ncrz(0.1937) q[5], q[7];\ncrz(0.1949) q[5], q[6];\ncrz(-0.1391) q[5], q[4];\ncrz(-0.1498) q[5], q[3];\ncrz(-0.1533) q[5], q[2];\ncrz(-0.1377) q[5], q[1];\ncrz(-0.1382) q[5], q[0];\ncrz(0.1937) q[4], q[7];\ncrz(0.1949) q[4], q[6];\ncrz(-0.1408) q[4], q[5];\ncrz(-0.1498) q[4], q[3];\ncrz(-0.1533) q[4], q[2];\ncrz(-0.1377) q[4], q[1];\ncrz(-0.1382) q[4], q[0];\ncrz(0.1937) q[3], q[7];\ncrz(0.1949) q[3], q[6];\ncrz(-0.1408) q[3], q[5];\ncrz(-0.1391) q[3], q[4];\ncrz(-0.1533) q[3], q[2];\ncrz(-0.1377) q[3], q[1];\ncrz(-0.1382) q[3], q[0];\ncrz(0.1937) q[2], q[7];\ncrz(0.1949) q[2], q[6];\ncrz(-0.1408) q[2], q[5];\ncrz(-0.1391) q[2], q[4];\ncrz(-0.1498) q[2], q[3];\ncrz(-0.1377) q[2], q[1];\ncrz(-0.1382) q[2], q[0];\ncrz(0.1937) q[1], q[7];\ncrz(0.1949) q[1], q[6];\ncrz(-0.1408) q[1], q[5];\ncrz(-0.1391) q[1], q[4];\ncrz(-0.1498) q[1], q[3];\ncrz(-0.1533) q[1], q[2];\ncrz(-0.1382) q[1], q[0];\ncrz(0.1937) q[0], q[7];\ncrz(0.1949) q[0], q[6];\ncrz(-0.1408) q[0], q[5];\ncrz(-0.1391) q[0], q[4];\ncrz(-0.1498) q[0], q[3];\ncrz(-0.1533) q[0], q[2];\ncrz(-0.1377) q[0], q[1];\nrx(0.2403) q[0];\nrz(0.0056) q[0];\nrx(0.3124) q[1];\nrz(0.007) q[1];\nrx(0.2666) q[2];\nrz(0.0079) q[2];\nrx(0.3214) q[3];\nrz(0.0088) q[3];\nrx(0.2788) q[4];\nrz(0.0071) q[4];\nrx(0.2975) q[5];\nrz(0.0077) q[5];\nrx(0.3607) q[6];\nrz(0.0098) q[6];\nrx(0.3788) q[7];\nrz(0.0041) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[7], q[5];\ncrz(x18) q[7], q[4];\ncrz(x19) q[7], q[3];\ncrz(x20) q[7], q[2];\ncrz(x21) q[7], q[1];\ncrz(x22) q[7], q[0];\ncrz(x23) q[6], q[7];\ncrz(x17) q[6], q[5];\ncrz(x18) q[6], q[4];\ncrz(x19) q[6], q[3];\ncrz(x20) q[6], q[2];\ncrz(x21) q[6], q[1];\ncrz(x22) q[6], q[0];\ncrz(x23) q[5], q[7];\ncrz(x16) q[5], q[6];\ncrz(x18) q[5], q[4];\ncrz(x19) q[5], q[3];\ncrz(x20) q[5], q[2];\ncrz(x21) q[5], q[1];\ncrz(x22) q[5], q[0];\ncrz(x23) q[4], q[7];\ncrz(x16) q[4], q[6];\ncrz(x17) q[4], q[5];\ncrz(x19) q[4], q[3];\ncrz(x20) q[4], q[2];\ncrz(x21) q[4], q[1];\ncrz(x22) q[4], q[0];\ncrz(x23) q[3], q[7];\ncrz(x16) q[3], q[6];\ncrz(x17) q[3], q[5];\ncrz(x18) q[3], q[4];\ncrz(x20) q[3], q[2];\ncrz(x21) q[3], q[1];\ncrz(x22) q[3], q[0];\ncrz(x23) q[2], q[7];\ncrz(x16) q[2], q[6];\ncrz(x17) q[2], q[5];\ncrz(x18) q[2], q[4];\ncrz(x19) q[2], q[3];\ncrz(x21) q[2], q[1];\ncrz(x22) q[2], q[0];\ncrz(x23) q[1], q[7];\ncrz(x16) q[1], q[6];\ncrz(x17) q[1], q[5];\ncrz(x18) q[1], q[4];\ncrz(x19) q[1], q[3];\ncrz(x20) q[1], q[2];\ncrz(x22) q[1], q[0];\ncrz(x23) q[0], q[7];\ncrz(x16) q[0], q[6];\ncrz(x17) q[0], q[5];\ncrz(x18) q[0], q[4];\ncrz(x19) q[0], q[3];\ncrz(x20) q[0], q[2];\ncrz(x21) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\nrx(x40) q[0];\nrz(x41) q[0];\nrx(x42) q[1];\nrz(x43) q[1];\nrx(x44) q[2];\nrz(x45) q[2];\nrx(x30) q[3];\nrz(x46) q[3];\nrx(x47) q[4];\nrz(x48) q[4];\nrx(x49) q[5];\nrz(x50) q[5];\nrx(x51) q[6];\nrz(x52) q[6];\nrx(x53) q[7];\nrz(x54) q[7];\ncrz(x55) q[7], q[6];\ncrz(x56) q[7], q[5];\ncrz(x57) q[7], q[4];\ncrz(x58) q[7], q[3];\ncrz(x59) q[7], q[2];\ncrz(x60) q[7], q[1];\ncrz(x61) q[7], q[0];\ncrz(x62) q[6], q[7];\ncrz(x56) q[6], q[5];\ncrz(x57) q[6], q[4];\ncrz(x58) q[6], q[3];\ncrz(x59) q[6], q[2];\ncrz(x60) q[6], q[1];\ncrz(x61) q[6], q[0];\ncrz(x62) q[5], q[7];\ncrz(x55) q[5], q[6];\ncrz(x57) q[5], q[4];\ncrz(x58) q[5], q[3];\ncrz(x59) q[5], q[2];\ncrz(x60) q[5], q[1];\ncrz(x61) q[5], q[0];\ncrz(x62) q[4], q[7];\ncrz(x55) q[4], q[6];\ncrz(x56) q[4], q[5];\ncrz(x58) q[4], q[3];\ncrz(x59) q[4], q[2];\ncrz(x60) q[4], q[1];\ncrz(x61) q[4], q[0];\ncrz(x62) q[3], q[7];\ncrz(x55) q[3], q[6];\ncrz(x56) q[3], q[5];\ncrz(x57) q[3], q[4];\ncrz(x59) q[3], q[2];\ncrz(x60) q[3], q[1];\ncrz(x61) q[3], q[0];\ncrz(x62) q[2], q[7];\ncrz(x55) q[2], q[6];\ncrz(x56) q[2], q[5];\ncrz(x57) q[2], q[4];\ncrz(x58) q[2], q[3];\ncrz(x60) q[2], q[1];\ncrz(x61) q[2], q[0];\ncrz(x62) q[1], q[7];\ncrz(x55) q[1], q[6];\ncrz(x56) q[1], q[5];\ncrz(x57) q[1], q[4];\ncrz(x58) q[1], q[3];\ncrz(x59) q[1], q[2];\ncrz(x61) q[1], q[0];\ncrz(x62) q[0], q[7];\ncrz(x55) q[0], q[6];\ncrz(x56) q[0], q[5];\ncrz(x57) q[0], q[4];\ncrz(x58) q[0], q[3];\ncrz(x59) q[0], q[2];\ncrz(x60) q[0], q[1];\nrx(x63) q[0];\nrz(x64) q[0];\nrx(x65) q[1];\nrz(x66) q[1];\nrx(x67) q[2];\nrz(x68) q[2];\nrx(x69) q[3];\nrz(x70) q[3];\nrx(x71) q[4];\nrz(x72) q[4];\nrx(x73) q[5];\nrz(x74) q[5];\nrx(x75) q[6];\nrz(x76) q[6];\nrx(x77) q[7];\nrz(x78) q[7];\nrx(x79) q[0];\nrz(x80) q[0];\nrx(x81) q[1];\nrz(x82) q[1];\nrx(x83) q[2];\nrz(x84) q[2];\nrx(x85) q[3];\nrz(x86) q[3];\nrx(x87) q[4];\nrz(x88) q[4];\nrx(x89) q[5];\nrz(x35) q[5];\nrx(x90) q[6];\nrz(x91) q[6];\nrx(x92) q[7];\nrz(x93) q[7];\ncrz(x94) q[7], q[6];\ncrz(x59) q[7], q[5];\ncrz(x95) q[7], q[4];\ncrz(x96) q[7], q[3];\ncrz(x97) q[7], q[2];\ncrz(x98) q[7], q[1];\ncrz(x99) q[7], q[0];\ncrz(x100) q[6], q[7];\ncrz(x59) q[6], q[5];\ncrz(x95) q[6], q[4];\ncrz(x96) q[6], q[3];\ncrz(x97) q[6], q[2];\ncrz(x98) q[6], q[1];\ncrz(x99) q[6], q[0];\ncrz(x100) q[5], q[7];\ncrz(x94) q[5], q[6];\ncrz(x95) q[5], q[4];\ncrz(x96) q[5], q[3];\ncrz(x97) q[5], q[2];\ncrz(x98) q[5], q[1];\ncrz(x99) q[5], q[0];\ncrz(x100) q[4], q[7];\ncrz(x94) q[4], q[6];\ncrz(x59) q[4], q[5];\ncrz(x96) q[4], q[3];\ncrz(x97) q[4], q[2];\ncrz(x98) q[4], q[1];\ncrz(x99) q[4], q[0];\ncrz(x100) q[3], q[7];\ncrz(x94) q[3], q[6];\ncrz(x59) q[3], q[5];\ncrz(x95) q[3], q[4];\ncrz(x97) q[3], q[2];\ncrz(x98) q[3], q[1];\ncrz(x99) q[3], q[0];\ncrz(x100) q[2], q[7];\ncrz(x94) q[2], q[6];\ncrz(x59) q[2], q[5];\ncrz(x95) q[2], q[4];\ncrz(x96) q[2], q[3];\ncrz(x98) q[2], q[1];\ncrz(x99) q[2], q[0];\ncrz(x100) q[1], q[7];\ncrz(x94) q[1], q[6];\ncrz(x59) q[1], q[5];\ncrz(x95) q[1], q[4];\ncrz(x96) q[1], q[3];\ncrz(x97) q[1], q[2];\ncrz(x99) q[1], q[0];\ncrz(x100) q[0], q[7];\ncrz(x94) q[0], q[6];\ncrz(x59) q[0], q[5];\ncrz(x95) q[0], q[4];\ncrz(x96) q[0], q[3];\ncrz(x97) q[0], q[2];\ncrz(x98) q[0], q[1];\nrx(x75) q[0];\nrz(x101) q[0];\nrx(x102) q[1];\nrz(x103) q[1];\nrx(x104) q[2];\nrz(x105) q[2];\nrx(x106) q[3];\nrz(x107) q[3];\nrx(x108) q[4];\nrz(x109) q[4];\nrx(x110) q[5];\nrz(x111) q[5];\nrx(x112) q[6];\nrz(x113) q[6];\nrx(x114) q[7];\nrz(x115) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"communities_size\": 2, \"number_of_communities\": 2}","{\"circuits\": [], \"gradients\": []}"]
["74e5b8afd1f04f850c8f51ecde3fef19","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [24, 12], \"expectation_value\": -0.29060718563753324, \"params\": [[0.07540000000000001], [-0.06960000000000001]], \"bitstrings\": [\"100111\", \"110011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.017322811025107597, 0.017322811025107604], \"optimization_time\": 1.302016258239746}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"111100\", \"101101\", \"111001\", \"110011\", \"100111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(0.0754) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0754) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0754) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0754) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(0.0754) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0754) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.0754) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0754) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.0754) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0754) q[5];\ncx q[3], q[5];\nrz(-0.1508) q[1];\nrz(-0.3016) q[0];\nrz(-0.1508) q[2];\nrz(-0.1508) q[3];\nrz(-0.0754) q[4];\nrz(-0.2262) q[5];\nh q[0];\nrz(-0.1392) q[0];\nh q[0];\nh q[1];\nrz(-0.1392) q[1];\nh q[1];\nh q[2];\nrz(-0.1392) q[2];\nh q[2];\nh q[3];\nrz(-0.1392) q[3];\nh q[3];\nh q[4];\nrz(-0.1392) q[4];\nh q[4];\nh q[5];\nrz(-0.1392) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x1) q[2];\nrz(x1) q[3];\nrz(x3) q[4];\nrz(x4) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["24ad81747c6bd1903cd58d045c41656e","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 7}, {\"weight\": 15, \"source\": 0, \"target\": 6}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 2, \"target\": 7}, {\"weight\": 13, \"source\": 3, \"target\": 4}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 20, \"source\": 5, \"target\": 6}, {\"weight\": 10, \"source\": 6, \"target\": 7}]}","{\"states\": [219, 218], \"expectation_value\": -55.729587633774756, \"params\": [[-0.0164, -0.0347, -0.0772, -0.08410000000000001], [0.4852, 0.4395, 0.3311, 0.24500000000000002]], \"bitstrings\": [\"100100100\", \"100100101\"], \"total_optimization_steps\": 60, \"probabilities\": [0.18491338236576477, 0.1907489308495785], \"optimization_time\": 9.624612092971802}","4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * Z(1) + 10.0 * Z(4) + 2.0 * Z(3) + 6.5 * Z(5) + 2.0 * Z(6) + 14.5 * Z(7) + 14.0 * Z(8)",1,9,4,"{\"smallest_eigenvalues\": [-72.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -64.5, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(-0.1476) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.1476) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.1476) q[1];\ncx q[0], q[1];\ncx q[2], q[4];\nrz(-0.1476) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(-0.1476) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(-0.1476) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(-0.1476) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.1476) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.1476) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(-0.1476) q[8];\ncx q[2], q[8];\ncx q[1], q[8];\nrz(-0.1476) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(-0.1476) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(-0.1476) q[8];\ncx q[7], q[8];\nrz(-0.5412) q[2];\nrz(-0.164) q[0];\nrz(-0.5412) q[1];\nrz(-0.328) q[4];\nrz(-0.0656) q[3];\nrz(-0.2132) q[5];\nrz(-0.0656) q[6];\nrz(-0.4756) q[7];\nrz(-0.4592) q[8];\nh q[0];\nrz(0.9704) q[0];\nh q[0];\nh q[1];\nrz(0.9704) q[1];\nh q[1];\nh q[2];\nrz(0.9704) q[2];\nh q[2];\nh q[3];\nrz(0.9704) q[3];\nh q[3];\nh q[4];\nrz(0.9704) q[4];\nh q[4];\nh q[5];\nrz(0.9704) q[5];\nh q[5];\nh q[6];\nrz(0.9704) q[6];\nh q[6];\nh q[7];\nrz(0.9704) q[7];\nh q[7];\nh q[8];\nrz(0.9704) q[8];\nh q[8];\ncx q[2], q[0];\nrz(-0.3123) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.3123) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.3123) q[1];\ncx q[0], q[1];\ncx q[2], q[4];\nrz(-0.3123) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(-0.3123) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(-0.3123) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(-0.3123) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.3123) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.3123) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(-0.3123) q[8];\ncx q[2], q[8];\ncx q[1], q[8];\nrz(-0.3123) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(-0.3123) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(-0.3123) q[8];\ncx q[7], q[8];\nrz(-1.1451) q[2];\nrz(-0.347) q[0];\nrz(-1.1451) q[1];\nrz(-0.694) q[4];\nrz(-0.1388) q[3];\nrz(-0.4511) q[5];\nrz(-0.1388) q[6];\nrz(-1.0063) q[7];\nrz(-0.9716) q[8];\nh q[0];\nrz(0.879) q[0];\nh q[0];\nh q[1];\nrz(0.879) q[1];\nh q[1];\nh q[2];\nrz(0.879) q[2];\nh q[2];\nh q[3];\nrz(0.879) q[3];\nh q[3];\nh q[4];\nrz(0.879) q[4];\nh q[4];\nh q[5];\nrz(0.879) q[5];\nh q[5];\nh q[6];\nrz(0.879) q[6];\nh q[6];\nh q[7];\nrz(0.879) q[7];\nh q[7];\nh q[8];\nrz(0.879) q[8];\nh q[8];\ncx q[2], q[0];\nrz(-0.6948) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.6948) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.6948) q[1];\ncx q[0], q[1];\ncx q[2], q[4];\nrz(-0.6948) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(-0.6948) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(-0.6948) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(-0.6948) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.6948) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.6948) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(-0.6948) q[8];\ncx q[2], q[8];\ncx q[1], q[8];\nrz(-0.6948) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(-0.6948) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(-0.6948) q[8];\ncx q[7], q[8];\nrz(-2.5476) q[2];\nrz(-0.772) q[0];\nrz(-2.5476) q[1];\nrz(-1.544) q[4];\nrz(-0.3088) q[3];\nrz(-1.0036) q[5];\nrz(-0.3088) q[6];\nrz(-2.2388) q[7];\nrz(-2.1616) q[8];\nh q[0];\nrz(0.6622) q[0];\nh q[0];\nh q[1];\nrz(0.6622) q[1];\nh q[1];\nh q[2];\nrz(0.6622) q[2];\nh q[2];\nh q[3];\nrz(0.6622) q[3];\nh q[3];\nh q[4];\nrz(0.6622) q[4];\nh q[4];\nh q[5];\nrz(0.6622) q[5];\nh q[5];\nh q[6];\nrz(0.6622) q[6];\nh q[6];\nh q[7];\nrz(0.6622) q[7];\nh q[7];\nh q[8];\nrz(0.6622) q[8];\nh q[8];\ncx q[2], q[0];\nrz(-0.7569) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.7569) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.7569) q[1];\ncx q[0], q[1];\ncx q[2], q[4];\nrz(-0.7569) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(-0.7569) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(-0.7569) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(-0.7569) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.7569) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.7569) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(-0.7569) q[8];\ncx q[2], q[8];\ncx q[1], q[8];\nrz(-0.7569) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(-0.7569) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(-0.7569) q[8];\ncx q[7], q[8];\nrz(-2.7753) q[2];\nrz(-0.841) q[0];\nrz(-2.7753) q[1];\nrz(-1.682) q[4];\nrz(-0.3364) q[3];\nrz(-1.0933) q[5];\nrz(-0.3364) q[6];\nrz(-2.4389) q[7];\nrz(-2.3548) q[8];\nh q[0];\nrz(0.49) q[0];\nh q[0];\nh q[1];\nrz(0.49) q[1];\nh q[1];\nh q[2];\nrz(0.49) q[2];\nh q[2];\nh q[3];\nrz(0.49) q[3];\nh q[3];\nh q[4];\nrz(0.49) q[4];\nh q[4];\nh q[5];\nrz(0.49) q[5];\nh q[5];\nh q[6];\nrz(0.49) q[6];\nh q[6];\nh q[7];\nrz(0.49) q[7];\nh q[7];\nh q[8];\nrz(0.49) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x1) q[1];\nrz(x3) q[4];\nrz(x4) q[3];\nrz(x5) q[5];\nrz(x4) q[6];\nrz(x6) q[7];\nrz(x7) q[8];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x9) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x9) q[1];\ncx q[0], q[1];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(x9) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(x9) q[8];\ncx q[2], q[8];\ncx q[1], q[8];\nrz(x9) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x9) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x9) q[8];\ncx q[7], q[8];\nrz(x10) q[2];\nrz(x11) q[0];\nrz(x10) q[1];\nrz(x12) q[4];\nrz(x13) q[3];\nrz(x14) q[5];\nrz(x13) q[6];\nrz(x15) q[7];\nrz(x16) q[8];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nh q[8];\nrz(x17) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x18) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x18) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x18) q[1];\ncx q[0], q[1];\ncx q[2], q[4];\nrz(x18) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(x18) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x18) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x18) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(x18) q[8];\ncx q[2], q[8];\ncx q[1], q[8];\nrz(x18) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x18) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x18) q[8];\ncx q[7], q[8];\nrz(x19) q[2];\nrz(x20) q[0];\nrz(x19) q[1];\nrz(x21) q[4];\nrz(x22) q[3];\nrz(x23) q[5];\nrz(x22) q[6];\nrz(x24) q[7];\nrz(x25) q[8];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nh q[8];\nrz(x26) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x27) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x27) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x27) q[1];\ncx q[0], q[1];\ncx q[2], q[4];\nrz(x27) q[4];\ncx q[2], q[4];\ncx q[4], q[3];\nrz(x27) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x27) q[5];\ncx q[3], q[5];\ncx q[5], q[6];\nrz(x27) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x27) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x27) q[7];\ncx q[6], q[7];\ncx q[2], q[8];\nrz(x27) q[8];\ncx q[2], q[8];\ncx q[1], q[8];\nrz(x27) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x27) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x27) q[8];\ncx q[7], q[8];\nrz(x28) q[2];\nrz(x29) q[0];\nrz(x28) q[1];\nrz(x30) q[4];\nrz(x31) q[3];\nrz(x32) q[5];\nrz(x31) q[6];\nrz(x33) q[7];\nrz(x34) q[8];\nh q[0];\nrz(x35) q[0];\nh q[0];\nh q[1];\nrz(x35) q[1];\nh q[1];\nh q[2];\nrz(x35) q[2];\nh q[2];\nh q[3];\nrz(x35) q[3];\nh q[3];\nh q[4];\nrz(x35) q[4];\nh q[4];\nh q[5];\nrz(x35) q[5];\nh q[5];\nh q[6];\nrz(x35) q[6];\nh q[6];\nh q[7];\nrz(x35) q[7];\nh q[7];\nh q[8];\nrz(x35) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["1e2e363d3026b2b0adfe60243d0e67d7","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 8}, {\"weight\": 12, \"source\": 0, \"target\": 13}, {\"weight\": 6, \"source\": 1, \"target\": 9}, {\"weight\": 20, \"source\": 1, \"target\": 12}, {\"weight\": 5, \"source\": 2, \"target\": 10}, {\"weight\": 14, \"source\": 2, \"target\": 9}, {\"weight\": 1, \"source\": 3, \"target\": 11}, {\"weight\": 14, \"source\": 3, \"target\": 13}, {\"weight\": 3, \"source\": 4, \"target\": 12}, {\"weight\": 4, \"source\": 5, \"target\": 13}, {\"weight\": 7, \"source\": 6, \"target\": 14}, {\"weight\": 18, \"source\": 7, \"target\": 11}]}","{\"states\": [2897, 2641], \"expectation_value\": -74.85486200642728, \"params\": [0.7026, -0.0012000000000000001, 0.23220000000000002, 0.31020000000000003, 0.7036, -0.0179, 0.48210000000000003, -0.0704, 0.3463, -0.0022, 0.6961, -0.001, 0.5205000000000001, 0.1247, 0.6995, -0.0112, 0.28500000000000003, 0.29500000000000004, 0.28650000000000003, -0.21100000000000002, -0.0012000000000000001, 0.5144000000000001, 0.6987, -0.0024000000000000002, 0.7040000000000001, -0.0061, 0.23220000000000002, 0.3042, 0.6971, 0.0262, 0.47850000000000004, -0.0685, 0.4399, 0.008, 0.6959000000000001, 0.0067, 0.5284, 0.1022, 0.6956, -0.031, 0.2745, 0.313, 0.2876, -0.20400000000000001, -0.005, 0.5285000000000001, 0.6997, -0.0024000000000000002, 0.7010000000000001, -0.0229, 0.08310000000000001, 0.3262, 0.6990000000000001, -0.012400000000000001, 0.47400000000000003, 0.0839, 0.3972, -0.018500000000000003, 0.6998000000000001, -0.0645, 0.48410000000000003, 0.1529, 0.6998000000000001, -0.1588, 0.09530000000000001, 0.1617, 0.2891, -0.2519, -0.0011, 0.4278, 0.7027, 0.0044, -0.1348, -0.25730000000000003, -0.6796, 0.2602, -0.448, 0.1847, -0.4716, 0.2778, -0.5630000000000001, 0.5106, -0.0023, 0.268, 0.0766, 0.034300000000000004, 0.4253, -0.502, 0.4722, -0.6297, 0.4773, -0.1522, 0.5095000000000001, -0.0024000000000000002, 0.6824, 0.0752, 0.6961, 0.6782, -0.6722, 0.6518, -0.1325, 0.4727, -0.097, 0.2174, -0.0025], \"bitstrings\": [\"010010101110\", \"010110101110\"], \"total_optimization_steps\": 70, \"probabilities\": [0.06407408837900633, 0.0744816388657887], \"optimization_time\": 27.365455150604248}","8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(2)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(11) @ Z(6)) + -5.0 * Z(1) + 14.0 * Z(0) + 3.0 * Z(3) + 10.0 * Z(2) + 7.0 * Z(5) + -5.5 * Z(4) + 15.0 * Z(7) + 0.5 * Z(6) + -6.5 * Z(8) + 2.0 * Z(9) + 1.0 * Z(11) + -12.5 * Z(10)",4,12,3,"{\"smallest_eigenvalues\": [-135.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -118.0, \"smallest_bitstrings\": [\"010110101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.7026) q[0];\nrz(-0.0012) q[0];\nrx(0.2322) q[1];\nrz(0.3102) q[1];\nrx(0.7036) q[2];\nrz(-0.0179) q[2];\nrx(0.4821) q[3];\nrz(-0.0704) q[3];\nrx(0.3463) q[4];\nrz(-0.0022) q[4];\nrx(0.6961) q[5];\nrz(-0.001) q[5];\nrx(0.5205) q[6];\nrz(0.1247) q[6];\nrx(0.6995) q[7];\nrz(-0.0112) q[7];\nrx(0.285) q[8];\nrz(0.295) q[8];\nrx(0.2865) q[9];\nrz(-0.211) q[9];\nrx(-0.0012) q[10];\nrz(0.5144) q[10];\nrx(0.6987) q[11];\nrz(-0.0024) q[11];\ncrx(-0.0023) q[11], q[10];\ncrx(0.5106) q[10], q[9];\ncrx(-0.563) q[9], q[8];\ncrx(0.2778) q[8], q[7];\ncrx(-0.4716) q[7], q[6];\ncrx(0.1847) q[6], q[5];\ncrx(-0.448) q[5], q[4];\ncrx(0.2602) q[4], q[3];\ncrx(-0.6796) q[3], q[2];\ncrx(-0.2573) q[2], q[1];\ncrx(-0.1348) q[1], q[0];\nrx(0.704) q[0];\nrz(-0.0061) q[0];\nrx(0.2322) q[1];\nrz(0.3042) q[1];\nrx(0.6971) q[2];\nrz(0.0262) q[2];\nrx(0.4785) q[3];\nrz(-0.0685) q[3];\nrx(0.4399) q[4];\nrz(0.008) q[4];\nrx(0.6959) q[5];\nrz(0.0067) q[5];\nrx(0.5284) q[6];\nrz(0.1022) q[6];\nrx(0.6956) q[7];\nrz(-0.031) q[7];\nrx(0.2745) q[8];\nrz(0.313) q[8];\nrx(0.2876) q[9];\nrz(-0.204) q[9];\nrx(-0.005) q[10];\nrz(0.5285) q[10];\nrx(0.6997) q[11];\nrz(-0.0024) q[11];\ncrx(-0.0024) q[11], q[10];\ncrx(0.5095) q[10], q[9];\ncrx(-0.1522) q[9], q[8];\ncrx(0.4773) q[8], q[7];\ncrx(-0.6297) q[7], q[6];\ncrx(0.4722) q[6], q[5];\ncrx(-0.502) q[5], q[4];\ncrx(0.4253) q[4], q[3];\ncrx(0.0343) q[3], q[2];\ncrx(0.0766) q[2], q[1];\ncrx(0.268) q[1], q[0];\nrx(0.701) q[0];\nrz(-0.0229) q[0];\nrx(0.0831) q[1];\nrz(0.3262) q[1];\nrx(0.699) q[2];\nrz(-0.0124) q[2];\nrx(0.474) q[3];\nrz(0.0839) q[3];\nrx(0.3972) q[4];\nrz(-0.0185) q[4];\nrx(0.6998) q[5];\nrz(-0.0645) q[5];\nrx(0.4841) q[6];\nrz(0.1529) q[6];\nrx(0.6998) q[7];\nrz(-0.1588) q[7];\nrx(0.0953) q[8];\nrz(0.1617) q[8];\nrx(0.2891) q[9];\nrz(-0.2519) q[9];\nrx(-0.0011) q[10];\nrz(0.4278) q[10];\nrx(0.7027) q[11];\nrz(0.0044) q[11];\ncrx(-0.0025) q[11], q[10];\ncrx(0.2174) q[10], q[9];\ncrx(-0.097) q[9], q[8];\ncrx(0.4727) q[8], q[7];\ncrx(-0.1325) q[7], q[6];\ncrx(0.6518) q[6], q[5];\ncrx(-0.6722) q[5], q[4];\ncrx(0.6782) q[4], q[3];\ncrx(0.6961) q[3], q[2];\ncrx(0.0752) q[2], q[1];\ncrx(0.6824) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x1) q[10];\nrz(x20) q[10];\nrx(x21) q[11];\nrz(x22) q[11];\ncrx(x23) q[11], q[10];\ncrx(x24) q[10], q[9];\ncrx(x25) q[9], q[8];\ncrx(x26) q[8], q[7];\ncrx(x27) q[7], q[6];\ncrx(x28) q[6], q[5];\ncrx(x29) q[5], q[4];\ncrx(x30) q[4], q[3];\ncrx(x31) q[3], q[2];\ncrx(x32) q[2], q[1];\ncrx(x33) q[1], q[0];\nrx(x34) q[0];\nrz(x35) q[0];\nrx(x2) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x39) q[3];\nrz(x40) q[3];\nrx(x41) q[4];\nrz(x42) q[4];\nrx(x43) q[5];\nrz(x44) q[5];\nrx(x45) q[6];\nrz(x46) q[6];\nrx(x47) q[7];\nrz(x48) q[7];\nrx(x49) q[8];\nrz(x50) q[8];\nrx(x51) q[9];\nrz(x52) q[9];\nrx(x53) q[10];\nrz(x54) q[10];\nrx(x55) q[11];\nrz(x22) q[11];\ncrx(x22) q[11], q[10];\ncrx(x56) q[10], q[9];\ncrx(x57) q[9], q[8];\ncrx(x58) q[8], q[7];\ncrx(x59) q[7], q[6];\ncrx(x60) q[6], q[5];\ncrx(x61) q[5], q[4];\ncrx(x62) q[4], q[3];\ncrx(x63) q[3], q[2];\ncrx(x64) q[2], q[1];\ncrx(x65) q[1], q[0];\nrx(x66) q[0];\nrz(x67) q[0];\nrx(x68) q[1];\nrz(x69) q[1];\nrx(x70) q[2];\nrz(x71) q[2];\nrx(x72) q[3];\nrz(x73) q[3];\nrx(x74) q[4];\nrz(x75) q[4];\nrx(x76) q[5];\nrz(x77) q[5];\nrx(x78) q[6];\nrz(x79) q[6];\nrx(x76) q[7];\nrz(x80) q[7];\nrx(x81) q[8];\nrz(x82) q[8];\nrx(x83) q[9];\nrz(x84) q[9];\nrx(x85) q[10];\nrz(x86) q[10];\nrx(x87) q[11];\nrz(x88) q[11];\ncrx(x89) q[11], q[10];\ncrx(x90) q[10], q[9];\ncrx(x91) q[9], q[8];\ncrx(x92) q[8], q[7];\ncrx(x93) q[7], q[6];\ncrx(x94) q[6], q[5];\ncrx(x95) q[5], q[4];\ncrx(x96) q[4], q[3];\ncrx(x10) q[3], q[2];\ncrx(x97) q[2], q[1];\ncrx(x98) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7], \\\"right_nodes\\\": [8, 9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["b870bf177a3da6a6ab4722ca2196f1d4","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [104, 42], \"expectation_value\": -0.08471560169810297, \"params\": [[0.0378], [-0.025500000000000002]], \"bitstrings\": [\"0010111\", \"1010101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00804030776433247, 0.008070367920226359], \"optimization_time\": 1.7379331588745117}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(3)",1,7,1,"{\"smallest_eigenvalues\": [-6.0, -6.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"1010101\", \"0010111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(0.0378) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(0.0378) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(0.0378) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(0.0378) q[1];\ncx q[4], q[1];\ncx q[4], q[2];\nrz(0.0378) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(0.0378) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(0.0378) q[2];\ncx q[1], q[2];\ncx q[4], q[6];\nrz(0.0378) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(0.0378) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0378) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(0.0378) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(0.0378) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(0.0378) q[3];\ncx q[6], q[3];\nrz(-0.189) q[4];\nrz(-0.0378) q[0];\nrz(-0.0756) q[5];\nrz(-0.0756) q[1];\nrz(-0.1512) q[2];\nrz(-0.1134) q[6];\nrz(-0.0756) q[3];\nh q[0];\nrz(-0.051) q[0];\nh q[0];\nh q[1];\nrz(-0.051) q[1];\nh q[1];\nh q[2];\nrz(-0.051) q[2];\nh q[2];\nh q[3];\nrz(-0.051) q[3];\nh q[3];\nh q[4];\nrz(-0.051) q[4];\nh q[4];\nh q[5];\nrz(-0.051) q[5];\nh q[5];\nh q[6];\nrz(-0.051) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\nrz(x1) q[4];\nrz(x2) q[0];\nrz(x3) q[5];\nrz(x3) q[1];\nrz(x4) q[2];\nrz(x5) q[6];\nrz(x3) q[3];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["f3708375ba6fa9c71edbcd23f9c9eca4","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 3}]}","{\"states\": [8, 7], \"expectation_value\": -0.31612427899929346, \"params\": [[-0.044700000000000004, -0.0374, -0.058100000000000006, -0.046700000000000005], [0.056100000000000004, 0.0341, 0.062400000000000004, 0.060200000000000004]], \"bitstrings\": [\"0111\", \"1000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.07875076647818688, 0.08752776166614859], \"optimization_time\": 2.4454896450042725}","-0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3)",1,4,4,"{\"smallest_eigenvalues\": [-2.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.25, \"smallest_bitstrings\": [\"1000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[2], q[0];\nrz(0.0447) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0447) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(0.0447) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.067) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(0.0447) q[3];\ncx q[1], q[3];\nrz(-0.0447) q[2];\nrz(0.0224) q[0];\nrz(0) q[1];\nrz(0.0224) q[3];\nh q[0];\nrz(0.1122) q[0];\nh q[0];\nh q[1];\nrz(0.1122) q[1];\nh q[1];\nh q[2];\nrz(0.1122) q[2];\nh q[2];\nh q[3];\nrz(0.1122) q[3];\nh q[3];\ncx q[2], q[0];\nrz(0.0374) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0374) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(0.0374) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0561) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(0.0374) q[3];\ncx q[1], q[3];\nrz(-0.0374) q[2];\nrz(0.0187) q[0];\nrz(0) q[1];\nrz(0.0187) q[3];\nh q[0];\nrz(0.0682) q[0];\nh q[0];\nh q[1];\nrz(0.0682) q[1];\nh q[1];\nh q[2];\nrz(0.0682) q[2];\nh q[2];\nh q[3];\nrz(0.0682) q[3];\nh q[3];\ncx q[2], q[0];\nrz(0.0581) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0581) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(0.0581) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0872) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(0.0581) q[3];\ncx q[1], q[3];\nrz(-0.0581) q[2];\nrz(0.0291) q[0];\nrz(0) q[1];\nrz(0.0291) q[3];\nh q[0];\nrz(0.1248) q[0];\nh q[0];\nh q[1];\nrz(0.1248) q[1];\nh q[1];\nh q[2];\nrz(0.1248) q[2];\nh q[2];\nh q[3];\nrz(0.1248) q[3];\nh q[3];\ncx q[2], q[0];\nrz(0.0467) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0467) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(0.0467) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0701) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(0.0467) q[3];\ncx q[1], q[3];\nrz(-0.0467) q[2];\nrz(0.0234) q[0];\nrz(0) q[1];\nrz(0.0234) q[3];\nh q[0];\nrz(0.1204) q[0];\nh q[0];\nh q[1];\nrz(0.1204) q[1];\nh q[1];\nh q[2];\nrz(0.1204) q[2];\nh q[2];\nh q[3];\nrz(0.1204) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\nrz(x2) q[2];\nrz(x3) q[0];\nrz(x4) q[1];\nrz(x3) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\ncx q[2], q[0];\nrz(x6) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x6) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\nrz(x8) q[2];\nrz(x9) q[0];\nrz(x4) q[1];\nrz(x9) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\ncx q[2], q[0];\nrz(x11) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x11) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(x11) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x12) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\nrz(x13) q[2];\nrz(x14) q[0];\nrz(x4) q[1];\nrz(x14) q[3];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\ncx q[2], q[0];\nrz(x16) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x16) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(x16) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x17) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x16) q[3];\ncx q[1], q[3];\nrz(x18) q[2];\nrz(x19) q[0];\nrz(x4) q[1];\nrz(x19) q[3];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","{\"source\": 0, \"sink\": 3}","{\"circuits\": [], \"gradients\": []}"]
["6440352897ae715b0d3a7f54566e1380","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 1}, {\"weight\": 16, \"source\": 0, \"target\": 5}, {\"weight\": 18, \"source\": 0, \"target\": 2}, {\"weight\": 7, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 2, \"target\": 4}, {\"weight\": 15, \"source\": 3, \"target\": 6}, {\"weight\": 15, \"source\": 3, \"target\": 5}, {\"weight\": 4, \"source\": 4, \"target\": 5}]}","{\"states\": [115, 110], \"expectation_value\": -9.940938289635072, \"params\": [[-0.046], [0.0738]], \"bitstrings\": [\"10001100\", \"10010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00761585562069291, 0.008597335858610604], \"optimization_time\": 1.811805248260498}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * Z(2) + 11.5 * Z(3) + 10.0 * Z(4) + 15.5 * Z(5) + 7.5 * Z(6) + 6.0 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-67.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -59.5, \"smallest_bitstrings\": [\"10010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.368) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.368) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.368) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.368) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(-0.368) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.368) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.368) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.368) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(-0.368) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.368) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.368) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(-0.368) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.368) q[7];\ncx q[5], q[7];\nrz(-1.564) q[1];\nrz(-0.092) q[0];\nrz(-1.472) q[2];\nrz(-1.058) q[3];\nrz(-0.92) q[4];\nrz(-1.426) q[5];\nrz(-0.69) q[6];\nrz(-0.552) q[7];\nh q[0];\nrz(0.1476) q[0];\nh q[0];\nh q[1];\nrz(0.1476) q[1];\nh q[1];\nh q[2];\nrz(0.1476) q[2];\nh q[2];\nh q[3];\nrz(0.1476) q[3];\nh q[3];\nh q[4];\nrz(0.1476) q[4];\nh q[4];\nh q[5];\nrz(0.1476) q[5];\nh q[5];\nh q[6];\nrz(0.1476) q[6];\nh q[6];\nh q[7];\nrz(0.1476) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["89d5c825b6a0ab169a92c6e188014bcd","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [92, 124], \"expectation_value\": -3.5791466698045458, \"params\": [-0.0162, -0.3861, 0.8059000000000001, -0.0448, 0.8055, -0.0014, 0.81, -0.0015, 0.8101, 0.0025, 0.81, -0.0029000000000000002, -0.0171, 0.46130000000000004, 0.1699, -0.263, -0.0158, 0.0024000000000000002, 0.8082, 0.0039000000000000003, 0.8001, 0.0044, 0.8099000000000001, 0.007500000000000001, 0.811, 0.0047, 0.8034, 0.009300000000000001, -0.0172, 0.0007, 0.169, 0.0078000000000000005, -0.0848, 0.003, 0.0011, -0.0023, 0.003, 0.4702, 0.4153, 0.0036000000000000003, 0.007200000000000001, 0.0051, 0.006500000000000001, 0.0023, 0.0055000000000000005, 0.0076], \"bitstrings\": [\"10100011\", \"10000011\"], \"total_optimization_steps\": 80, \"probabilities\": [0.03515559528139259, 0.037688450863231186], \"optimization_time\": 4.680882215499878}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(7) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(3)",3,8,2,"{\"smallest_eigenvalues\": [-6.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"10000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-0.0162) q[0];\nrz(-0.3861) q[0];\nrx(0.8059) q[1];\nrz(-0.0448) q[1];\nrx(0.8055) q[2];\nrz(-0.0014) q[2];\nrx(0.81) q[3];\nrz(-0.0015) q[3];\nrx(0.8101) q[4];\nrz(0.0025) q[4];\nrx(0.81) q[5];\nrz(-0.0029) q[5];\nrx(-0.0171) q[6];\nrz(0.4613) q[6];\nrx(0.1699) q[7];\nrz(-0.263) q[7];\ncrz(0.4153) q[7], q[6];\ncrz(0.4702) q[6], q[5];\ncrz(0.003) q[5], q[4];\ncrz(-0.0023) q[4], q[3];\ncrz(0.0011) q[3], q[2];\ncrz(0.003) q[2], q[1];\ncrz(-0.0848) q[1], q[0];\nrx(-0.0158) q[0];\nrz(0.0024) q[0];\nrx(0.8082) q[1];\nrz(0.0039) q[1];\nrx(0.8001) q[2];\nrz(0.0044) q[2];\nrx(0.8099) q[3];\nrz(0.0075) q[3];\nrx(0.811) q[4];\nrz(0.0047) q[4];\nrx(0.8034) q[5];\nrz(0.0093) q[5];\nrx(-0.0172) q[6];\nrz(0.0007) q[6];\nrx(0.169) q[7];\nrz(0.0078) q[7];\ncrz(0.0076) q[7], q[6];\ncrz(0.0055) q[6], q[5];\ncrz(0.0023) q[5], q[4];\ncrz(0.0065) q[4], q[3];\ncrz(0.0051) q[3], q[2];\ncrz(0.0072) q[2], q[1];\ncrz(0.0036) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x6) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\ncrz(x15) q[7], q[6];\ncrz(x16) q[6], q[5];\ncrz(x17) q[5], q[4];\ncrz(x18) q[4], q[3];\ncrz(x19) q[3], q[2];\ncrz(x17) q[2], q[1];\ncrz(x20) q[1], q[0];\nrx(x21) q[0];\nrz(x22) q[0];\nrx(x23) q[1];\nrz(x24) q[1];\nrx(x25) q[2];\nrz(x26) q[2];\nrx(x27) q[3];\nrz(x28) q[3];\nrx(x29) q[4];\nrz(x30) q[4];\nrx(x31) q[5];\nrz(x32) q[5];\nrx(x33) q[6];\nrz(x34) q[6];\nrx(x35) q[7];\nrz(x36) q[7];\ncrz(x37) q[7], q[6];\ncrz(x38) q[6], q[5];\ncrz(x39) q[5], q[4];\ncrz(x40) q[4], q[3];\ncrz(x41) q[3], q[2];\ncrz(x42) q[2], q[1];\ncrz(x43) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["199bc20adfdca6d6b6a06391ec8e4ac2","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [99, 75], \"expectation_value\": -3.7906260986707565, \"params\": null, \"bitstrings\": [\"0011100\", \"0110100\"], \"total_optimization_steps\": 48, \"probabilities\": [0.047690833434271065, 0.8614512857581781], \"optimization_time\": 45.532243728637695}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4)",1,7,2,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"0110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[2];\nry(-1.4449) q[6];\nry(1.4449) q[0];\ncry(-1.0398) q[5], q[4];\ncry(-1.0398) q[3], q[1];\nry(0.7022) q[5];\nry(0.7022) q[3];\nry(-0.4578) q[1];\ncry(0.497) q[0], q[3];\nry(-0.4578) q[4];\ncry(0.497) q[0], q[5];\ncry(-0.3761) q[0], q[1];\ncry(-0.3761) q[0], q[4];\ncry(0.2418) q[3], q[5];\ncry(0.2403) q[5], q[3];\ncry(-0.142) q[5], q[1];\ncry(-0.1416) q[3], q[4];\ncry(0.1078) q[3], q[0];\ncry(0.6327) q[3], q[6];\ncry(1.7583) q[5], q[6];\ncry(0.4531) q[0], q[6];\ncry(-0.0508) q[6], q[1];\ncry(-0.0481) q[6], q[4];\ncry(0.1009) q[6], q[3];\ncry(-0.1576) q[4], q[6];\ncry(0.0668) q[6], q[5];\ncry(-0.1295) q[1], q[6];\ncry(-0.0027) q[0], q[2];\ncry(0.0354) q[4], q[3];\ncry(0.0144) q[5], q[0];\ncry(0.02) q[1], q[0];\ncry(0.0196) q[1], q[5];\ncry(-0.0129) q[1], q[4];\ncry(-0.0132) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":37644,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[5], q[4];\\ncry(-1.0398) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[5], q[4];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[5], q[4];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[5], q[4];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nry(-0.4578) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[5], q[4];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[2];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[5], q[4];\\ncry(-1.0398) q[3], q[1];\\nry(0.7022) q[5];\\nry(0.7022) q[3];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[3];\\nry(-0.4578) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];"}}]
["504aff5065c6904e02914f6b44da8a9c","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 6, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 4, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 3, \"source\": 4, \"target\": 5}]}","{\"states\": [3, 15], \"expectation_value\": -2.6091337349671164, \"params\": [[0.0656, 0.061500000000000006, 0.0337, 0.009000000000000001], [-0.06910000000000001, -0.06280000000000001, -0.0427, -0.0297]], \"bitstrings\": [\"111100\", \"110000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.03865611426081318, 0.04016931476229917], \"optimization_time\": 5.113174676895142}","-1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3)",1,6,4,"{\"smallest_eigenvalues\": [-8.0, -8.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -7.0, \"smallest_bitstrings\": [\"111100\", \"110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.164) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0656) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.1312) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.2624) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0984) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(-0.0656) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(-0.0984) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(-0.0984) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.328) q[3];\ncx q[2], q[3];\nrz(-0.1312) q[1];\nrz(-0.0328) q[0];\nrz(0.1968) q[4];\nrz(0.0328) q[5];\nrz(0) q[2];\nrz(-0.0656) q[3];\nh q[0];\nrz(-0.1382) q[0];\nh q[0];\nh q[1];\nrz(-0.1382) q[1];\nh q[1];\nh q[2];\nrz(-0.1382) q[2];\nh q[2];\nh q[3];\nrz(-0.1382) q[3];\nh q[3];\nh q[4];\nrz(-0.1382) q[4];\nh q[4];\nh q[5];\nrz(-0.1382) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.1538) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0615) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.123) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.246) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0923) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(-0.0615) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(-0.0923) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(-0.0923) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.3075) q[3];\ncx q[2], q[3];\nrz(-0.123) q[1];\nrz(-0.0308) q[0];\nrz(0.1845) q[4];\nrz(0.0308) q[5];\nrz(0) q[2];\nrz(-0.0615) q[3];\nh q[0];\nrz(-0.1256) q[0];\nh q[0];\nh q[1];\nrz(-0.1256) q[1];\nh q[1];\nh q[2];\nrz(-0.1256) q[2];\nh q[2];\nh q[3];\nrz(-0.1256) q[3];\nh q[3];\nh q[4];\nrz(-0.1256) q[4];\nh q[4];\nh q[5];\nrz(-0.1256) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0843) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0337) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0674) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.1348) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0505) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(-0.0337) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(-0.0505) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(-0.0505) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.1685) q[3];\ncx q[2], q[3];\nrz(-0.0674) q[1];\nrz(-0.0169) q[0];\nrz(0.1011) q[4];\nrz(0.0169) q[5];\nrz(0) q[2];\nrz(-0.0337) q[3];\nh q[0];\nrz(-0.0854) q[0];\nh q[0];\nh q[1];\nrz(-0.0854) q[1];\nh q[1];\nh q[2];\nrz(-0.0854) q[2];\nh q[2];\nh q[3];\nrz(-0.0854) q[3];\nh q[3];\nh q[4];\nrz(-0.0854) q[4];\nh q[4];\nh q[5];\nrz(-0.0854) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0225) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.009) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.018) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.036) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0135) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(-0.009) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(-0.0135) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(-0.0135) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.045) q[3];\ncx q[2], q[3];\nrz(-0.018) q[1];\nrz(-0.0045) q[0];\nrz(0.027) q[4];\nrz(0.0045) q[5];\nrz(0) q[2];\nrz(-0.009) q[3];\nh q[0];\nrz(-0.0594) q[0];\nh q[0];\nh q[1];\nrz(-0.0594) q[1];\nh q[1];\nh q[2];\nrz(-0.0594) q[2];\nh q[2];\nh q[3];\nrz(-0.0594) q[3];\nh q[3];\nh q[4];\nrz(-0.0594) q[4];\nh q[4];\nh q[5];\nrz(-0.0594) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(x4) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x4) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\nrz(x2) q[1];\nrz(x6) q[0];\nrz(x7) q[4];\nrz(x8) q[5];\nrz(x9) q[2];\nrz(x1) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x12) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x13) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x14) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x15) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(x12) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(x15) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x15) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x16) q[3];\ncx q[2], q[3];\nrz(x13) q[1];\nrz(x17) q[0];\nrz(x18) q[4];\nrz(x19) q[5];\nrz(x9) q[2];\nrz(x12) q[3];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x21) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x22) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x23) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x24) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x25) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(x22) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(x25) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x25) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x26) q[3];\ncx q[2], q[3];\nrz(x23) q[1];\nrz(x27) q[0];\nrz(x28) q[4];\nrz(x29) q[5];\nrz(x9) q[2];\nrz(x22) q[3];\nh q[0];\nrz(x30) q[0];\nh q[0];\nh q[1];\nrz(x30) q[1];\nh q[1];\nh q[2];\nrz(x30) q[2];\nh q[2];\nh q[3];\nrz(x30) q[3];\nh q[3];\nh q[4];\nrz(x30) q[4];\nh q[4];\nh q[5];\nrz(x30) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x31) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x32) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x33) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x34) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x35) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(x32) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(x35) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x35) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x36) q[3];\ncx q[2], q[3];\nrz(x33) q[1];\nrz(x37) q[0];\nrz(x38) q[4];\nrz(x39) q[5];\nrz(x9) q[2];\nrz(x32) q[3];\nh q[0];\nrz(x40) q[0];\nh q[0];\nh q[1];\nrz(x40) q[1];\nh q[1];\nh q[2];\nrz(x40) q[2];\nh q[2];\nh q[3];\nrz(x40) q[3];\nh q[3];\nh q[4];\nrz(x40) q[4];\nh q[4];\nh q[5];\nrz(x40) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["221348728401429854","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 3, 6, 7], [1, 2, 4], [0, 2, 3, 4, 7], [2, 3, 6, 7], [5, 7], [1, 5], [0, 1, 6], [0, 4, 5], [2, 3, 4, 5], [1, 3, 4]]}","{\"states\": [182, 241], \"expectation_value\": -0.04026345993851027, \"params\": [[0.051000000000000004], [-0.041100000000000005]], \"bitstrings\": [\"01001001\", \"00001110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00405381397191504, 0.004058552010931331], \"optimization_time\": 2.2162721157073975}","0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(2) @ Z(7)) + 0.3 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(7)) + 0.3 * (Z(4) @ Z(2)) + 0.05 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(0) @ Z(2)) + 0.21666666666666667 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.6416666666666666 * Z(3) + 0.625 * Z(1) + 0.41666666666666663 * Z(6) + 0.3500000000000002 * Z(7) + 0.5166666666666666 * Z(2) + 0.7250000000000002 * Z(4) + 0.43333333333333324 * Z(0) + 0.29166666666666674 * Z(5)",1,8,1,"{\"smallest_eigenvalues\": [-2.8666666666666663], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.783333333333333, \"smallest_bitstrings\": [\"00001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[1];\nrz(0.0255) q[1];\ncx q[3], q[1];\ncx q[3], q[6];\nrz(0.017) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(0.0255) q[6];\ncx q[1], q[6];\ncx q[3], q[7];\nrz(0.0221) q[7];\ncx q[3], q[7];\ncx q[1], q[7];\nrz(0.0085) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(0.017) q[7];\ncx q[6], q[7];\ncx q[3], q[2];\nrz(0.0221) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(0.017) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(0.0085) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(0.0136) q[2];\ncx q[7], q[2];\ncx q[3], q[4];\nrz(0.0306) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(0.034) q[4];\ncx q[1], q[4];\ncx q[7], q[4];\nrz(0.0051) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(0.0306) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(0.0051) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(0.017) q[0];\ncx q[1], q[0];\ncx q[6], q[0];\nrz(0.017) q[0];\ncx q[6], q[0];\ncx q[7], q[0];\nrz(0.0051) q[0];\ncx q[7], q[0];\ncx q[2], q[0];\nrz(0.0051) q[0];\ncx q[2], q[0];\ncx q[4], q[0];\nrz(0.0221) q[0];\ncx q[4], q[0];\ncx q[3], q[5];\nrz(0.0085) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(0.051) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(0.051) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(0.0085) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.0255) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(0.017) q[5];\ncx q[0], q[5];\nrz(0.0654) q[3];\nrz(0.0638) q[1];\nrz(0.0425) q[6];\nrz(0.0357) q[7];\nrz(0.0527) q[2];\nrz(0.074) q[4];\nrz(0.0442) q[0];\nrz(0.0298) q[5];\nh q[0];\nrz(-0.0822) q[0];\nh q[0];\nh q[1];\nrz(-0.0822) q[1];\nh q[1];\nh q[2];\nrz(-0.0822) q[2];\nh q[2];\nh q[3];\nrz(-0.0822) q[3];\nh q[3];\nh q[4];\nrz(-0.0822) q[4];\nh q[4];\nh q[5];\nrz(-0.0822) q[5];\nh q[5];\nh q[6];\nrz(-0.0822) q[6];\nh q[6];\nh q[7];\nrz(-0.0822) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[7];\nrz(x2) q[7];\ncx q[3], q[7];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[3], q[2];\nrz(x2) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(x3) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x4) q[2];\ncx q[7], q[2];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[7], q[4];\nrz(x7) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[3], q[0];\nrz(x7) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[6], q[0];\nrz(x1) q[0];\ncx q[6], q[0];\ncx q[7], q[0];\nrz(x7) q[0];\ncx q[7], q[0];\ncx q[2], q[0];\nrz(x7) q[0];\ncx q[2], q[0];\ncx q[4], q[0];\nrz(x2) q[0];\ncx q[4], q[0];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x8) q[5];\ncx q[7], q[5];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\nrz(x9) q[3];\nrz(x10) q[1];\nrz(x11) q[6];\nrz(x12) q[7];\nrz(x13) q[2];\nrz(x14) q[4];\nrz(x15) q[0];\nrz(x16) q[5];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["3fb3735639c46bff7d77a855f00e5a0c","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}]}","{\"states\": [1, 5], \"expectation_value\": -1.425522765933976, \"params\": [[-0.0687, -0.0609, -0.0651], [0.0779, 0.0712, 0.0698]], \"bitstrings\": [\"1111110\", \"1111010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.021222103863904666, 0.022430092555670654], \"optimization_time\": 3.9148874282836914}","-0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -1.25 * Z(5) + -0.5 * Z(1) + 0.0 * Z(3) + 1.0 * Z(4) + 0.5 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-8.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.25, \"smallest_bitstrings\": [\"1111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(0.0687) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(0.1031) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0687) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0687) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(0.0687) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(0.0687) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(0.1374) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0687) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.0687) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0687) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(0.0343) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(-0.1717) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(0.0687) q[6];\ncx q[4], q[6];\nrz(-0.0687) q[2];\nrz(0.0343) q[0];\nrz(0.1717) q[5];\nrz(0.0687) q[1];\nrz(0) q[3];\nrz(-0.1374) q[4];\nrz(-0.0687) q[6];\nh q[0];\nrz(0.1558) q[0];\nh q[0];\nh q[1];\nrz(0.1558) q[1];\nh q[1];\nh q[2];\nrz(0.1558) q[2];\nh q[2];\nh q[3];\nrz(0.1558) q[3];\nh q[3];\nh q[4];\nrz(0.1558) q[4];\nh q[4];\nh q[5];\nrz(0.1558) q[5];\nh q[5];\nh q[6];\nrz(0.1558) q[6];\nh q[6];\ncx q[2], q[0];\nrz(0.0609) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(0.0914) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0609) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0609) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(0.0609) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(0.0609) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(0.1218) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0609) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.0609) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0609) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(0.0305) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(-0.1522) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(0.0609) q[6];\ncx q[4], q[6];\nrz(-0.0609) q[2];\nrz(0.0305) q[0];\nrz(0.1522) q[5];\nrz(0.0609) q[1];\nrz(0) q[3];\nrz(-0.1218) q[4];\nrz(-0.0609) q[6];\nh q[0];\nrz(0.1424) q[0];\nh q[0];\nh q[1];\nrz(0.1424) q[1];\nh q[1];\nh q[2];\nrz(0.1424) q[2];\nh q[2];\nh q[3];\nrz(0.1424) q[3];\nh q[3];\nh q[4];\nrz(0.1424) q[4];\nh q[4];\nh q[5];\nrz(0.1424) q[5];\nh q[5];\nh q[6];\nrz(0.1424) q[6];\nh q[6];\ncx q[2], q[0];\nrz(0.0651) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(0.0977) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0651) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0651) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(0.0651) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(0.0651) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(0.1302) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0651) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(0.0651) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0651) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(0.0326) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(-0.1628) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(0.0651) q[6];\ncx q[4], q[6];\nrz(-0.0651) q[2];\nrz(0.0326) q[0];\nrz(0.1628) q[5];\nrz(0.0651) q[1];\nrz(0) q[3];\nrz(-0.1302) q[4];\nrz(-0.0651) q[6];\nh q[0];\nrz(0.1396) q[0];\nh q[0];\nh q[1];\nrz(0.1396) q[1];\nh q[1];\nh q[2];\nrz(0.1396) q[2];\nh q[2];\nh q[3];\nrz(0.1396) q[3];\nh q[3];\nh q[4];\nrz(0.1396) q[4];\nh q[4];\nh q[5];\nrz(0.1396) q[5];\nh q[5];\nh q[6];\nrz(0.1396) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(x3) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x4) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\nrz(x5) q[2];\nrz(x3) q[0];\nrz(x6) q[5];\nrz(x0) q[1];\nrz(x7) q[3];\nrz(x8) q[4];\nrz(x5) q[6];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x10) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x10) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x10) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x10) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x12) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(x13) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x14) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\nrz(x15) q[2];\nrz(x13) q[0];\nrz(x16) q[5];\nrz(x10) q[1];\nrz(x7) q[3];\nrz(x17) q[4];\nrz(x15) q[6];\nh q[0];\nrz(x18) q[0];\nh q[0];\nh q[1];\nrz(x18) q[1];\nh q[1];\nh q[2];\nrz(x18) q[2];\nh q[2];\nh q[3];\nrz(x18) q[3];\nh q[3];\nh q[4];\nrz(x18) q[4];\nh q[4];\nh q[5];\nrz(x18) q[5];\nh q[5];\nh q[6];\nrz(x18) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x19) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x19) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x19) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x19) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(x19) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x21) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x19) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x19) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x19) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(x22) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x23) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x19) q[6];\ncx q[4], q[6];\nrz(x24) q[2];\nrz(x22) q[0];\nrz(x25) q[5];\nrz(x19) q[1];\nrz(x7) q[3];\nrz(x26) q[4];\nrz(x24) q[6];\nh q[0];\nrz(x27) q[0];\nh q[0];\nh q[1];\nrz(x27) q[1];\nh q[1];\nh q[2];\nrz(x27) q[2];\nh q[2];\nh q[3];\nrz(x27) q[3];\nh q[3];\nh q[4];\nrz(x27) q[4];\nh q[4];\nh q[5];\nrz(x27) q[5];\nh q[5];\nh q[6];\nrz(x27) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["dd2cbc0832de721030b1d6a15eb211d5","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 8}, {\"capacity\": 3, \"source\": 0, \"target\": 10}, {\"capacity\": 4, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 7, \"source\": 1, \"target\": 4}, {\"capacity\": 7, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 10}, {\"capacity\": 6, \"source\": 2, \"target\": 3}, {\"capacity\": 7, \"source\": 2, \"target\": 5}, {\"capacity\": 5, \"source\": 2, \"target\": 7}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 7, \"source\": 3, \"target\": 8}, {\"capacity\": 4, \"source\": 3, \"target\": 10}, {\"capacity\": 6, \"source\": 4, \"target\": 9}, {\"capacity\": 6, \"source\": 4, \"target\": 10}, {\"capacity\": 4, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 5, \"source\": 5, \"target\": 6}, {\"capacity\": 4, \"source\": 6, \"target\": 5}, {\"capacity\": 4, \"source\": 6, \"target\": 10}, {\"capacity\": 7, \"source\": 6, \"target\": 11}, {\"capacity\": 7, \"source\": 7, \"target\": 2}, {\"capacity\": 7, \"source\": 8, \"target\": 1}, {\"capacity\": 7, \"source\": 8, \"target\": 3}, {\"capacity\": 4, \"source\": 8, \"target\": 5}, {\"capacity\": 7, \"source\": 8, \"target\": 6}, {\"capacity\": 6, \"source\": 8, \"target\": 11}, {\"capacity\": 1, \"source\": 9, \"target\": 2}, {\"capacity\": 2, \"source\": 9, \"target\": 3}, {\"capacity\": 7, \"source\": 9, \"target\": 5}, {\"capacity\": 3, \"source\": 9, \"target\": 7}, {\"capacity\": 6, \"source\": 9, \"target\": 8}, {\"capacity\": 1, \"source\": 10, \"target\": 3}]}","{\"states\": [2047, 1535], \"expectation_value\": -40.127111689441534, \"params\": [[[0.0083, -0.0024000000000000002], [0.0014, 0.0022], [0.8664000000000001, 0.0044], [0.016, -0.0033], [0.0032, 0.0022], [0.0092, 0.0024000000000000002], [0.0123, 0.0021000000000000003], [0.0086, 0.0022], [0.0001, 0.0022], [-0.0027, -0.0019], [-0.0044, -0.1268], [3.1447000000000003, 0.0021000000000000003]], [[-0.0036000000000000003, 3.1391], [0.0034000000000000002, -0.0025], [0.8347, 0.0018000000000000002], [-0.011600000000000001, -0.0021000000000000003], [-0.0092, 0.0029000000000000002], [-0.005, 0.0023], [-0.0063, 0.0025], [-0.0031000000000000003, -0.0032], [0.004200000000000001, 0.0025], [0.008700000000000001, 0.0021000000000000003], [-0.13290000000000002, 0.0029000000000000002], [-0.0008, 0.0126]]], \"bitstrings\": [\"100000000000\", \"101000000000\"], \"total_optimization_steps\": 340, \"probabilities\": [0.4349470308717518, 0.5649251804796256], \"optimization_time\": 32.31257486343384}","-0.75 * (Z(0) @ Z(10)) + -0.75 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(10)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(10)) + -2.75 * (Z(7) @ Z(1)) + -2.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(9) @ Z(1)) + -3.0 * (Z(9) @ Z(4)) + -1.5 * (Z(11) @ Z(10)) + -0.25 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(5)) + -1.5 * (Z(11) @ Z(6)) + -1.75 * (Z(11) @ Z(7)) + -0.75 * (Z(11) @ Z(9)) + -1.75 * (Z(8) @ Z(10)) + -1.0 * (Z(8) @ Z(2)) + -2.25 * (Z(8) @ Z(7)) + -1.5 * (Z(3) @ Z(10)) + 1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(3) @ Z(8)) + 3.75 * Z(10) + -0.25 * Z(0) + -4.5 * Z(2) + 2.25 * Z(1) + 1.0 * Z(4) + -1.25 * Z(5) + 1.25 * Z(6) + -4.0 * Z(7) + -0.75 * Z(9) + 3.25 * Z(11) + 0.75 * Z(8) + -1.5 * Z(3)",15,12,2,"{\"smallest_eigenvalues\": [-41.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -39.0, \"smallest_bitstrings\": [\"101000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.0083) q[0];\nry(0.0014) q[1];\nry(0.8664) q[2];\nry(0.016) q[3];\nry(0.0032) q[4];\nry(0.0092) q[5];\nry(0.0123) q[6];\nry(0.0086) q[7];\nry(0.0001) q[8];\nry(-0.0027) q[9];\nry(-0.0044) q[10];\nry(3.1447) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0024) q[0];\nry(0.0022) q[1];\nry(0.0044) q[2];\nry(-0.0033) q[3];\nry(0.0022) q[4];\nry(0.0024) q[5];\nry(0.0021) q[6];\nry(0.0022) q[7];\nry(0.0022) q[8];\nry(-0.0019) q[9];\nry(-0.1268) q[10];\nry(0.0021) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.0036) q[0];\nry(0.0034) q[1];\nry(0.8347) q[2];\nry(-0.0116) q[3];\nry(-0.0092) q[4];\nry(-0.005) q[5];\nry(-0.0063) q[6];\nry(-0.0031) q[7];\nry(0.0042) q[8];\nry(0.0087) q[9];\nry(-0.1329) q[10];\nry(-0.0008) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(3.1391) q[0];\nry(-0.0025) q[1];\nry(0.0018) q[2];\nry(-0.0021) q[3];\nry(0.0029) q[4];\nry(0.0023) q[5];\nry(0.0025) q[6];\nry(-0.0032) q[7];\nry(0.0025) q[8];\nry(0.0021) q[9];\nry(0.0029) q[10];\nry(0.0126) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x12) q[0];\nry(x13) q[1];\nry(x14) q[2];\nry(x15) q[3];\nry(x13) q[4];\nry(x16) q[5];\nry(x17) q[6];\nry(x13) q[7];\nry(x13) q[8];\nry(x18) q[9];\nry(x19) q[10];\nry(x17) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\nry(x30) q[10];\nry(x31) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x32) q[0];\nry(x33) q[1];\nry(x34) q[2];\nry(x35) q[3];\nry(x36) q[4];\nry(x37) q[5];\nry(x38) q[6];\nry(x39) q[7];\nry(x38) q[8];\nry(x17) q[9];\nry(x36) q[10];\nry(x40) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["2398b0b8852b758caa629303970b584b","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [32, 49], \"expectation_value\": -4.999971821732332, \"params\": null, \"bitstrings\": [\"011111\", \"001110\"], \"total_optimization_steps\": 26, \"probabilities\": [1.3834854838931248e-05, 0.9999858813341915], \"optimization_time\": 16.93510103225708}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nry(-1.5681) q[2];\nry(-1.5681) q[3];\nry(1.4449) q[5];\nry(1.4449) q[1];\nry(1.4449) q[0];\ncry(0.1187) q[1], q[5];\ncry(0.1188) q[5], q[0];\ncry(0.1186) q[0], q[1];\ncry(-0.0027) q[5], q[2];\ncry(-0.0027) q[5], q[3];\ncry(0.0072) q[0], q[5];\ncry(0.0067) q[1], q[0];\ncry(0.0067) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\ncry(0.0072) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\ncry(0.0072) q[0], q[5];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\ncry(0.0072) q[0], q[5];\\ncry(0.0067) q[1], q[0];\\ncry(0.0067) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.5681) q[3];\\nry(1.4449) q[5];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\ncry(0.1187) q[1], q[5];\\ncry(0.1188) q[5], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[3];\\ncry(0.0072) q[0], q[5];\\ncry(0.0067) q[1], q[0];\\ncry(0.0067) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.5097, 1.0057, 1.0038, 0.5005, 0.5002, 0.5, 0.0616, 0.0618, 0.0617, 0.0143, 0.0143, 0.01, 0.01, 0.0075, 0.0075, 0.006, 0.005, 0.005, 0.005, 0.005, 0.0045, 0.0045, 0.0033, 0.003, 0.003, 0.003]}"]
["901818354894385254","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 4], [2, 6], [0, 5], [1, 2], [3, 6]]}","{\"states\": [88, 30], \"expectation_value\": -2.219138854975561, \"params\": null, \"bitstrings\": [\"0100111\", \"1100001\"], \"total_optimization_steps\": 51, \"probabilities\": [0.05206360526272468, 0.7254807705063921], \"optimization_time\": 40.461742639541626}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3)",1,7,1,"{\"smallest_eigenvalues\": [-2.5, -2.5, -2.5, -2.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"0011110\", \"0100111\", \"1011000\", \"1100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], q[6];\ncry(-1.0342) q[5], q[0];\ncry(-1.0342) q[2], q[1];\nry(1.0293) q[2];\nry(-0.6992) q[1];\nry(0.7003) q[3];\ncry(-0.795) q[2], q[6];\ncry(0.668) q[2], q[3];\ncry(0.3724) q[3], q[2];\nry(0.7003) q[5];\ncry(-0.7092) q[4], q[0];\ncry(1.1516) q[5], q[4];\ncry(0.4386) q[4], q[5];\nry(-0.3186) q[0];\nry(-0.1994) q[6];\ncry(-0.2465) q[3], q[1];\nry(0.2661) q[4];\ncry(0.1525) q[4], q[3];\ncry(0.1438) q[3], q[5];\ncry(-0.108) q[3], q[0];\ncry(0.0795) q[4], q[2];\ncry(-0.2226) q[0], q[4];\ncry(-0.2088) q[0], q[5];\ncry(0.0867) q[2], q[0];\ncry(-0.0538) q[4], q[6];\ncry(0.0509) q[3], q[4];\ncry(-0.0411) q[4], q[1];\ncry(0.0466) q[2], q[5];\ncry(0.0423) q[5], q[3];\ncry(-0.0732) q[6], q[3];\ncry(0.019) q[5], q[2];\ncry(0.0591) q[1], q[6];\ncry(-0.0362) q[1], q[2];\ncry(-0.0335) q[6], q[2];\ncry(0.034) q[6], q[1];\ncry(0.0292) q[0], q[3];\ncry(0.0204) q[0], q[2];\ncry(0.0226) q[1], q[3];\ncry(0.0188) q[1], q[0];\ncry(0.0063) q[5], q[6];\ncry(0.0162) q[6], q[5];\ncry(-0.0128) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":44782,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[5], q[0];\\ncry(-1.0342) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[5], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(1.0293) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[5], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(1.0293) q[2];\\nry(-0.6992) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[5], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(1.0293) q[2];\\nry(-0.6992) q[1];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[5], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(1.0293) q[2];\\nry(-0.6992) q[1];\\nry(0.7003) q[3];\\ncry(-0.795) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[5], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(1.0293) q[2];\\nry(-0.6992) q[1];\\nry(0.7003) q[3];\\ncry(-0.795) q[2], q[6];\\ncry(0.668) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[5], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(1.0293) q[2];\\nry(-0.6992) q[1];\\nry(0.7003) q[3];\\ncry(-0.795) q[2], q[6];\\ncry(0.668) q[2], q[3];\\ncry(0.3724) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[5], q[0];\\ncry(-1.0342) q[2], q[1];\\nry(1.0293) q[2];\\nry(-0.6992) q[1];\\nry(0.7003) q[3];\\ncry(-0.795) q[2], q[6];\\ncry(0.668) q[2], q[3];\\ncry(0.3724) q[3], q[2];\\nry(0.7003) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = me"}}]
["109dd65f843c7effe1b685156edca6d7","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 7, \"target\": 5}]}","{\"states\": [131, 7], \"expectation_value\": -22.144854728520976, \"params\": null, \"bitstrings\": [\"01111100\", \"11111000\"], \"total_optimization_steps\": 91, \"probabilities\": [0.061083088251108565, 0.5844873633809463], \"optimization_time\": 213.39971947669983}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 3.0 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(6)) + 2.75 * (Z(5) @ Z(7)) + -7.0 * Z(1) + -7.5 * Z(0) + -7.25 * Z(2) + -7.0 * Z(3) + -7.0 * Z(4) + -6.5 * Z(6) + -6.5 * Z(7) + -6.25 * Z(5)",10,8,2,"{\"smallest_eigenvalues\": [-24.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -22.5, \"smallest_bitstrings\": [\"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) q[0];\nry(-0.3559) q[2];\nry(-0.2317) q[1];\nry(-0.5045) q[3];\ncry(-1.2391) q[5], q[0];\ncry(-1.2069) q[7], q[2];\ncry(-1.066) q[6], q[3];\ncry(-1.3391) q[4], q[1];\nry(1.0455) q[5];\ncry(-0.6049) q[6], q[0];\ncry(-1.0992) q[7], q[4];\nry(0.6015) q[7];\ncry(-0.3839) q[5], q[2];\ncry(0.7172) q[1], q[4];\ncry(-0.6461) q[6], q[1];\ncry(-0.6905) q[6], q[4];\nry(0.619) q[6];\ncry(-0.3517) q[5], q[3];\ncry(-0.286) q[7], q[1];\ncry(0.3942) q[5], q[7];\nry(-0.3355) q[4];\ncry(0.3925) q[5], q[6];\ncry(-0.2) q[7], q[0];\ncry(0.4067) q[6], q[5];\ncry(-0.1293) q[5], q[1];\ncry(-0.1249) q[5], q[4];\ncry(0.3019) q[6], q[7];\ncry(-0.1582) q[6], q[2];\ncry(0.2318) q[7], q[6];\ncry(-0.0554) q[7], q[3];\ncry(-0.2636) q[4], q[0];\ncry(-0.2471) q[4], q[2];\ncry(-0.3118) q[0], q[3];\ncry(0.0887) q[7], q[5];\ncry(-0.303) q[2], q[1];\ncry(-0.2031) q[2], q[0];\ncry(-0.4928) q[1], q[6];\ncry(-0.268) q[3], q[1];\ncry(-0.4282) q[4], q[6];\ncry(0.2884) q[0], q[7];\ncry(-0.1995) q[0], q[2];\ncry(-0.2648) q[3], q[4];\ncry(0.4736) q[4], q[7];\ncry(0.5992) q[1], q[7];\ncry(0.2638) q[3], q[7];\ncry(0.2419) q[4], q[5];\ncry(-0.1265) q[0], q[4];\ncry(0.1885) q[0], q[6];\ncry(-0.22) q[0], q[5];\ncry(0.2041) q[3], q[5];\ncry(-0.0948) q[1], q[2];\ncry(-0.0989) q[0], q[1];\ncry(0.1669) q[2], q[5];\ncry(-0.1036) q[3], q[2];\ncry(0.2173) q[1], q[5];\ncry(0.1133) q[2], q[4];\ncry(-0.0994) q[3], q[6];\ncry(0.0856) q[2], q[6];\ncry(-0.0254) q[4], q[3];\ncry(-0.0373) q[1], q[0];\ncry(-0.0444) q[2], q[7];\ncry(-0.0226) q[3], q[0];\ncry(-0.0053) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"k\": 5}",{"$cut":{"chars":119568,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nry(-0.3559) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nry(-0.3559) q[2];\\nry(-0.2317) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nry(-0.3559) q[2];\\nry(-0.2317) q[1];\\nry(-0.5045) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nry(-0.3559) q[2];\\nry(-0.2317) q[1];\\nry(-0.5045) q[3];\\ncry(-1.2391) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nry(-0.3559) q[2];\\nry(-0.2317) q[1];\\nry(-0.5045) q[3];\\ncry(-1.2391) q[5], q[0];\\ncry(-1.2069) q[7], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nry(-0.3559) q[2];\\nry(-0.2317) q[1];\\nry(-0.5045) q[3];\\ncry(-1.2391) q[5], q[0];\\ncry(-1.2069) q[7], q[2];\\ncry(-1.066) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nry(-0.3559) q[2];\\nry(-0.2317) q[1];\\nry(-0.5045) q[3];\\ncry(-1.2391) q[5], q[0];\\ncry(-1.2069) q[7], q[2];\\ncry(-1.066) q[6], q[3];\\ncry(-1.3391) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nry(-0.3559) q[2];\\nry(-0.2317) q[1];\\nry(-0.5045) q[3];\\ncry(-1.2391) q[5], q[0];\\ncry(-1.2069) q[7], q[2];\\ncry(-1.066) q[6], q[3];\\ncry(-1.3391) q[4], q[1];\\nry(1.0455) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.197) q[0];\\nry(-0.3559) q[2];\\nry(-0.2317) q[1];\\nry(-0.5045) q[3];\\ncry(-1.2391) q[5], q[0];\\ncry(-1.2069) q[7], q[2];\\ncry(-1.066) q["}}]
["-6486720588982531779","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[3, 4], [0, 7], [1, 3], [2, 4], [2, 5], [2, 6]]}","{\"states\": [0, 176], \"expectation_value\": -0.03083631051388764, \"params\": [0.6024, -0.0022, 0.6002000000000001, 0.0095, 0.6026, 0.0118, 0.5948, 0.0023, 0.6061000000000001, 0.0012000000000000001, 0.6065, 0.0047, 0.6003000000000001, 0.0011, 0.6011000000000001, 0.0039000000000000003, 0.6013000000000001, -0.006200000000000001, 0.6036, 0.004200000000000001, 0.6057, -0.005200000000000001, 0.6004, 0.009000000000000001, 0.6002000000000001, -0.0068000000000000005, 0.599, 0.0026000000000000003, 0.606, -0.004, 0.5967, 0.0033, 0.5745, -0.1704, 0.5947, 0.5055000000000001, -0.20120000000000002, -0.3735, -0.3803, -0.3905], \"bitstrings\": [\"11111111\", \"01001111\"], \"total_optimization_steps\": 60, \"probabilities\": [0.05846052463035627, 0.08815909983121654], \"optimization_time\": 12.780230283737183}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6)",6,8,1,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"10110000\", \"11001110\", \"01001111\", \"00110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.6024) q[0];\nrz(-0.0022) q[0];\nrx(0.6026) q[1];\nrz(0.0118) q[1];\nrx(0.6061) q[2];\nrz(0.0012) q[2];\nrx(0.6003) q[3];\nrz(0.0011) q[3];\nrx(0.6013) q[4];\nrz(-0.0062) q[4];\nrx(0.6057) q[5];\nrz(-0.0052) q[5];\nrx(0.6002) q[6];\nrz(-0.0068) q[6];\nrx(0.606) q[7];\nrz(-0.004) q[7];\ncrx(-0.3803) q[7], q[6];\ncrx(-0.3735) q[7], q[5];\ncrx(-0.2012) q[7], q[4];\ncrx(0.5055) q[7], q[3];\ncrx(0.5947) q[7], q[2];\ncrx(-0.1704) q[7], q[1];\ncrx(0.5745) q[7], q[0];\ncrx(-0.3905) q[6], q[7];\ncrx(-0.3735) q[6], q[5];\ncrx(-0.2012) q[6], q[4];\ncrx(0.5055) q[6], q[3];\ncrx(0.5947) q[6], q[2];\ncrx(-0.1704) q[6], q[1];\ncrx(0.5745) q[6], q[0];\ncrx(-0.3905) q[5], q[7];\ncrx(-0.3803) q[5], q[6];\ncrx(-0.2012) q[5], q[4];\ncrx(0.5055) q[5], q[3];\ncrx(0.5947) q[5], q[2];\ncrx(-0.1704) q[5], q[1];\ncrx(0.5745) q[5], q[0];\ncrx(-0.3905) q[4], q[7];\ncrx(-0.3803) q[4], q[6];\ncrx(-0.3735) q[4], q[5];\ncrx(0.5055) q[4], q[3];\ncrx(0.5947) q[4], q[2];\ncrx(-0.1704) q[4], q[1];\ncrx(0.5745) q[4], q[0];\ncrx(-0.3905) q[3], q[7];\ncrx(-0.3803) q[3], q[6];\ncrx(-0.3735) q[3], q[5];\ncrx(-0.2012) q[3], q[4];\ncrx(0.5947) q[3], q[2];\ncrx(-0.1704) q[3], q[1];\ncrx(0.5745) q[3], q[0];\ncrx(-0.3905) q[2], q[7];\ncrx(-0.3803) q[2], q[6];\ncrx(-0.3735) q[2], q[5];\ncrx(-0.2012) q[2], q[4];\ncrx(0.5055) q[2], q[3];\ncrx(-0.1704) q[2], q[1];\ncrx(0.5745) q[2], q[0];\ncrx(-0.3905) q[1], q[7];\ncrx(-0.3803) q[1], q[6];\ncrx(-0.3735) q[1], q[5];\ncrx(-0.2012) q[1], q[4];\ncrx(0.5055) q[1], q[3];\ncrx(0.5947) q[1], q[2];\ncrx(0.5745) q[1], q[0];\ncrx(-0.3905) q[0], q[7];\ncrx(-0.3803) q[0], q[6];\ncrx(-0.3735) q[0], q[5];\ncrx(-0.2012) q[0], q[4];\ncrx(0.5055) q[0], q[3];\ncrx(0.5947) q[0], q[2];\ncrx(-0.1704) q[0], q[1];\nrx(0.6002) q[0];\nrz(0.0095) q[0];\nrx(0.5948) q[1];\nrz(0.0023) q[1];\nrx(0.6065) q[2];\nrz(0.0047) q[2];\nrx(0.6011) q[3];\nrz(0.0039) q[3];\nrx(0.6036) q[4];\nrz(0.0042) q[4];\nrx(0.6004) q[5];\nrz(0.009) q[5];\nrx(0.599) q[6];\nrz(0.0026) q[6];\nrx(0.5967) q[7];\nrz(0.0033) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[7], q[5];\ncrx(x18) q[7], q[4];\ncrx(x19) q[7], q[3];\ncrx(x20) q[7], q[2];\ncrx(x21) q[7], q[1];\ncrx(x22) q[7], q[0];\ncrx(x23) q[6], q[7];\ncrx(x17) q[6], q[5];\ncrx(x18) q[6], q[4];\ncrx(x19) q[6], q[3];\ncrx(x20) q[6], q[2];\ncrx(x21) q[6], q[1];\ncrx(x22) q[6], q[0];\ncrx(x23) q[5], q[7];\ncrx(x16) q[5], q[6];\ncrx(x18) q[5], q[4];\ncrx(x19) q[5], q[3];\ncrx(x20) q[5], q[2];\ncrx(x21) q[5], q[1];\ncrx(x22) q[5], q[0];\ncrx(x23) q[4], q[7];\ncrx(x16) q[4], q[6];\ncrx(x17) q[4], q[5];\ncrx(x19) q[4], q[3];\ncrx(x20) q[4], q[2];\ncrx(x21) q[4], q[1];\ncrx(x22) q[4], q[0];\ncrx(x23) q[3], q[7];\ncrx(x16) q[3], q[6];\ncrx(x17) q[3], q[5];\ncrx(x18) q[3], q[4];\ncrx(x20) q[3], q[2];\ncrx(x21) q[3], q[1];\ncrx(x22) q[3], q[0];\ncrx(x23) q[2], q[7];\ncrx(x16) q[2], q[6];\ncrx(x17) q[2], q[5];\ncrx(x18) q[2], q[4];\ncrx(x19) q[2], q[3];\ncrx(x21) q[2], q[1];\ncrx(x22) q[2], q[0];\ncrx(x23) q[1], q[7];\ncrx(x16) q[1], q[6];\ncrx(x17) q[1], q[5];\ncrx(x18) q[1], q[4];\ncrx(x19) q[1], q[3];\ncrx(x20) q[1], q[2];\ncrx(x22) q[1], q[0];\ncrx(x23) q[0], q[7];\ncrx(x16) q[0], q[6];\ncrx(x17) q[0], q[5];\ncrx(x18) q[0], q[4];\ncrx(x19) q[0], q[3];\ncrx(x20) q[0], q[2];\ncrx(x21) q[0], q[1];\nrx(x12) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["cb943fcd43d9f749780630b91be79506","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 8}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 6, \"target\": 1}, {\"capacity\": 1, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 7}, {\"capacity\": 1, \"source\": 7, \"target\": 1}, {\"capacity\": 2, \"source\": 7, \"target\": 5}, {\"capacity\": 1, \"source\": 7, \"target\": 8}]}","{\"states\": [199, 223], \"expectation_value\": -7.371789026401859, \"params\": null, \"bitstrings\": [\"100111000\", \"100100000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.12621701500811097, 0.5246779241019593], \"optimization_time\": 186.68361830711365}","-0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(3) + 0.75 * Z(2) + 0.25 * Z(6) + -0.25 * Z(8) + 1.0 * Z(4) + -0.25 * Z(5) + 0.25 * Z(7)",1,9,2,"{\"smallest_eigenvalues\": [-9.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.5, \"smallest_bitstrings\": [\"100100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[3];\ncry(1.5626) q[5], q[4];\ncry(-1.5626) q[8], q[0];\nry(0.9494) q[8];\nry(-0.4938) q[0];\ncry(1.5016) q[8], q[2];\ncry(1.4921) q[5], q[7];\ncry(0.9259) q[4], q[5];\ncry(1.557) q[7], q[6];\ncry(1.5471) q[6], q[1];\ncry(0.3687) q[1], q[7];\ncry(0.3475) q[2], q[8];\ncry(-0.1354) q[2], q[0];\nry(-0.1712) q[1];\ncry(0.1922) q[7], q[1];\ncry(0.1011) q[7], q[5];\ncry(-0.1696) q[2], q[1];\ncry(0.093) q[8], q[4];\ncry(0.0654) q[1], q[6];\ncry(0.1304) q[5], q[1];\ncry(-0.1083) q[8], q[1];\ncry(0.0511) q[1], q[8];\nry(-0.0323) q[6];\ncry(-0.0412) q[4], q[7];\ncry(0.077) q[1], q[2];\ncry(0.0439) q[6], q[7];\ncry(0.0347) q[6], q[5];\ncry(0.0371) q[4], q[1];\nry(-0.0152) q[5];\ncry(-0.0131) q[7], q[4];\ncry(0.0195) q[1], q[4];\ncry(-0.0796) q[0], q[1];\nry(-0.0099) q[4];\ncry(0.0155) q[5], q[6];\ncry(-0.0171) q[2], q[6];\ncry(0.0156) q[1], q[0];\ncry(-0.0279) q[0], q[8];\ncry(-0.0304) q[0], q[4];\ncry(-0.0361) q[0], q[5];\ncry(0.0112) q[1], q[5];\ncry(0.0104) q[6], q[4];\ncry(-0.0322) q[0], q[7];\nry(-0.0049) q[2];\ncry(-0.0316) q[0], q[2];\ncry(-0.0019) q[4], q[6];\ncry(-0.0026) q[2], q[5];\ncry(0.008) q[4], q[8];\ncry(-0.0026) q[6], q[8];\ncry(-0.0019) q[2], q[4];\ncry(0.0057) q[8], q[7];\nry(-0.0037) q[7];\ncry(0.007) q[6], q[0];\ncry(-0.0019) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"source\": 0, \"sink\": 8}",{"$cut":{"chars":118156,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[3];\\ncry(1.5626) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[3];\\ncry(1.5626) q[5], q[4];\\ncry(-1.5626) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[3];\\ncry(1.5626) q[5], q[4];\\ncry(-1.5626) q[8], q[0];\\nry(0.9494) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[3];\\ncry(1.5626) q[5], q[4];\\ncry(-1.5626) q[8], q[0];\\nry(0.9494) q[8];\\nry(-0.4938) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[3];\\ncry(1.5626) q[5], q[4];\\ncry(-1.5626) q[8], q[0];\\nry(0.9494) q[8];\\nry(-0.4938) q[0];\\ncry(1.5016) q[8], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[3];\\ncry(1.5626) q[5], q[4];\\ncry(-1.5626) q[8], q[0];\\nry(0.9494) q[8];\\nry(-0.4938) q[0];\\ncry(1.5016) q[8], q[2];\\ncry(1.4921) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[3];\\ncry(1.5626) q[5], q[4];\\ncry(-1.5626) q[8], q[0];\\nry(0.9494) q[8];\\nry(-0.4938) q[0];\\ncry(1.5016) q[8], q[2];\\ncry(1.4921) q[5], q[7];\\ncry(0.9259) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[3];\\ncry(1.5626) q[5], q[4];\\ncry(-1.5626) q[8], q[0];\\nry(0.9494) q[8];\\nry(-0.4938) q[0];\\ncry(1.5016) q[8], q[2];\\ncry(1.4921) q[5], q[7];\\ncry(0.9259) q[4], q[5];\\ncry(1.557) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] "}}]
["980678711041075930","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[8, 7], [8, 9, 5], [0, 7], [1, 6], [2, 7], [0, 3], [2, 4]]}","{\"states\": [730, 666], \"expectation_value\": -2.631214585717914, \"params\": [1.3005, -0.0529, 1.2956, 0.0024000000000000002, 0.42010000000000003, 0.0444, 0.0795, 0.0002, 1.3045, -0.056100000000000004, 1.3013000000000001, 0.0026000000000000003, 0.8889, 0.373, 0.4474, 0.0089, 0.6749, 0.0199, 0.0442, 0.0098, 1.2987, -0.039400000000000004, 1.2944, 0.0047, 1.3048, -0.062, 1.2979, 0.0025, 0.3708, -0.023200000000000002, 0.13820000000000002, 0.0077, 1.3035, -0.0592, 1.3034000000000001, 0.0088, 1.0185, 0.1831, 0.737, 0.009300000000000001, 0.0722, -0.1305, 0.1819, 0.002, -0.1902, 0.0729, 0.15360000000000001, -0.1484, 0.1462, -0.45180000000000003], \"bitstrings\": [\"0100100101\", \"0101100101\"], \"total_optimization_steps\": 130, \"probabilities\": [0.2985319025240081, 0.44440591852021294], \"optimization_time\": 80.5235583782196}","0.5 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(7) + 0.16666666666666663 * Z(8) + 0.16666666666666666 * Z(9) + 0.16666666666666666 * Z(5) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4)",6,10,1,"{\"smallest_eigenvalues\": [-3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1110000010\", \"0101110100\", \"0001101101\", \"0101100101\", \"0001111100\", \"1010001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(1.3005) q[0];\nrz(-0.0529) q[0];\nrx(0.4201) q[1];\nrz(0.0444) q[1];\nrx(1.3045) q[2];\nrz(-0.0561) q[2];\nrx(0.8889) q[3];\nrz(0.373) q[3];\nrx(0.6749) q[4];\nrz(0.0199) q[4];\nrx(1.2987) q[5];\nrz(-0.0394) q[5];\nrx(1.3048) q[6];\nrz(-0.062) q[6];\nrx(0.3708) q[7];\nrz(-0.0232) q[7];\nrx(1.3035) q[8];\nrz(-0.0592) q[8];\nrx(1.0185) q[9];\nrz(0.1831) q[9];\ncrx(0.1462) q[9], q[8];\ncrx(-0.1484) q[9], q[7];\ncrx(0.1536) q[9], q[6];\ncrx(0.0729) q[9], q[5];\ncrx(-0.1902) q[9], q[4];\ncrx(0.002) q[9], q[3];\ncrx(0.1819) q[9], q[2];\ncrx(-0.1305) q[9], q[1];\ncrx(0.0722) q[9], q[0];\ncrx(-0.4518) q[8], q[9];\ncrx(-0.1484) q[8], q[7];\ncrx(0.1536) q[8], q[6];\ncrx(0.0729) q[8], q[5];\ncrx(-0.1902) q[8], q[4];\ncrx(0.002) q[8], q[3];\ncrx(0.1819) q[8], q[2];\ncrx(-0.1305) q[8], q[1];\ncrx(0.0722) q[8], q[0];\ncrx(-0.4518) q[7], q[9];\ncrx(0.1462) q[7], q[8];\ncrx(0.1536) q[7], q[6];\ncrx(0.0729) q[7], q[5];\ncrx(-0.1902) q[7], q[4];\ncrx(0.002) q[7], q[3];\ncrx(0.1819) q[7], q[2];\ncrx(-0.1305) q[7], q[1];\ncrx(0.0722) q[7], q[0];\ncrx(-0.4518) q[6], q[9];\ncrx(0.1462) q[6], q[8];\ncrx(-0.1484) q[6], q[7];\ncrx(0.0729) q[6], q[5];\ncrx(-0.1902) q[6], q[4];\ncrx(0.002) q[6], q[3];\ncrx(0.1819) q[6], q[2];\ncrx(-0.1305) q[6], q[1];\ncrx(0.0722) q[6], q[0];\ncrx(-0.4518) q[5], q[9];\ncrx(0.1462) q[5], q[8];\ncrx(-0.1484) q[5], q[7];\ncrx(0.1536) q[5], q[6];\ncrx(-0.1902) q[5], q[4];\ncrx(0.002) q[5], q[3];\ncrx(0.1819) q[5], q[2];\ncrx(-0.1305) q[5], q[1];\ncrx(0.0722) q[5], q[0];\ncrx(-0.4518) q[4], q[9];\ncrx(0.1462) q[4], q[8];\ncrx(-0.1484) q[4], q[7];\ncrx(0.1536) q[4], q[6];\ncrx(0.0729) q[4], q[5];\ncrx(0.002) q[4], q[3];\ncrx(0.1819) q[4], q[2];\ncrx(-0.1305) q[4], q[1];\ncrx(0.0722) q[4], q[0];\ncrx(-0.4518) q[3], q[9];\ncrx(0.1462) q[3], q[8];\ncrx(-0.1484) q[3], q[7];\ncrx(0.1536) q[3], q[6];\ncrx(0.0729) q[3], q[5];\ncrx(-0.1902) q[3], q[4];\ncrx(0.1819) q[3], q[2];\ncrx(-0.1305) q[3], q[1];\ncrx(0.0722) q[3], q[0];\ncrx(-0.4518) q[2], q[9];\ncrx(0.1462) q[2], q[8];\ncrx(-0.1484) q[2], q[7];\ncrx(0.1536) q[2], q[6];\ncrx(0.0729) q[2], q[5];\ncrx(-0.1902) q[2], q[4];\ncrx(0.002) q[2], q[3];\ncrx(-0.1305) q[2], q[1];\ncrx(0.0722) q[2], q[0];\ncrx(-0.4518) q[1], q[9];\ncrx(0.1462) q[1], q[8];\ncrx(-0.1484) q[1], q[7];\ncrx(0.1536) q[1], q[6];\ncrx(0.0729) q[1], q[5];\ncrx(-0.1902) q[1], q[4];\ncrx(0.002) q[1], q[3];\ncrx(0.1819) q[1], q[2];\ncrx(0.0722) q[1], q[0];\ncrx(-0.4518) q[0], q[9];\ncrx(0.1462) q[0], q[8];\ncrx(-0.1484) q[0], q[7];\ncrx(0.1536) q[0], q[6];\ncrx(0.0729) q[0], q[5];\ncrx(-0.1902) q[0], q[4];\ncrx(0.002) q[0], q[3];\ncrx(0.1819) q[0], q[2];\ncrx(-0.1305) q[0], q[1];\nrx(1.2956) q[0];\nrz(0.0024) q[0];\nrx(0.0795) q[1];\nrz(0.0002) q[1];\nrx(1.3013) q[2];\nrz(0.0026) q[2];\nrx(0.4474) q[3];\nrz(0.0089) q[3];\nrx(0.0442) q[4];\nrz(0.0098) q[4];\nrx(1.2944) q[5];\nrz(0.0047) q[5];\nrx(1.2979) q[6];\nrz(0.0025) q[6];\nrx(0.1382) q[7];\nrz(0.0077) q[7];\nrx(1.3034) q[8];\nrz(0.0088) q[8];\nrx(0.737) q[9];\nrz(0.0093) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nrx(x46) q[8];\nrz(x47) q[8];\nrx(x48) q[9];\nrz(x49) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["ab0784fbffbb4b626ba9d99841d2b14f","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 7}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [1484, 1485], \"expectation_value\": -4.130549385162148, \"params\": [[[1.5763, -0.002], [-0.0024000000000000002, 1.4051], [1.5746, -0.0027], [1.5822, 0.0014], [1.5704, 0.0019], [0.0025, -1.0503], [0.2001, -0.8518], [1.5769, -0.0027], [1.574, 0.0019], [0.0028, 1.1225], [0.8619, 0.0036000000000000003]], [[1.5699, 0.008], [-0.0024000000000000002, 0.0067], [1.5739, 0.007], [1.5833000000000002, 0.0019], [1.576, 0.0085], [0.0025, 0.0076], [0.2008, 0.0095], [1.5715000000000001, 0.0015], [1.5716, 0.0026000000000000003], [0.0028, 0.0073], [0.8626, 0.0022]]], \"bitstrings\": [\"01000110011\", \"01000110010\"], \"total_optimization_steps\": 190, \"probabilities\": [0.40943536142462295, 0.5574887607647382], \"optimization_time\": 10.053741693496704}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(2) @ Z(3) @ Z(6)) + -0.125 * (Z(2) @ Z(3) @ Z(7)) + -0.125 * (Z(2) @ Z(6) @ Z(7)) + -0.125 * (Z(3) @ Z(6) @ Z(7)) + 0.125 * (Z(2) @ Z(3) @ Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(10) @ Z(4)) + 0.125 * (Z(8) @ Z(6)) + 0.125 * (Z(10) @ Z(6)) + 0.125 * (Z(8) @ Z(10)) + -0.125 * (Z(8) @ Z(6) @ Z(4)) + -0.125 * (Z(10) @ Z(6) @ Z(4)) + -0.125 * (Z(8) @ Z(10) @ Z(4)) + -0.125 * (Z(8) @ Z(10) @ Z(6)) + 0.125 * (Z(8) @ Z(10) @ Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(5) @ Z(10)) + 0.125 * Z(0) + -0.75 * Z(1) + 0.125 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) + -0.125 * Z(5) + 0.25 * Z(6) + -0.125 * Z(7) + -0.125 * Z(8) + -0.5 * Z(9) + -0.125 * Z(10)",1,11,2,"{\"smallest_eigenvalues\": [-4.625, -4.625, -4.625], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -3.625, \"smallest_bitstrings\": [\"01000110010\", \"01000101100\", \"01010000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(1.5763) q[0];\nrz(-0.002) q[0];\nrx(-0.0024) q[1];\nrz(1.4051) q[1];\nrx(1.5746) q[2];\nrz(-0.0027) q[2];\nrx(1.5822) q[3];\nrz(0.0014) q[3];\nrx(1.5704) q[4];\nrz(0.0019) q[4];\nrx(0.0025) q[5];\nrz(-1.0503) q[5];\nrx(0.2001) q[6];\nrz(-0.8518) q[6];\nrx(1.5769) q[7];\nrz(-0.0027) q[7];\nrx(1.574) q[8];\nrz(0.0019) q[8];\nrx(0.0028) q[9];\nrz(1.1225) q[9];\nrx(0.8619) q[10];\nrz(0.0036) q[10];\nrx(1.5699) q[0];\nrz(0.008) q[0];\nrx(-0.0024) q[1];\nrz(0.0067) q[1];\nrx(1.5739) q[2];\nrz(0.007) q[2];\nrx(1.5833) q[3];\nrz(0.0019) q[3];\nrx(1.576) q[4];\nrz(0.0085) q[4];\nrx(0.0025) q[5];\nrz(0.0076) q[5];\nrx(0.2008) q[6];\nrz(0.0095) q[6];\nrx(1.5715) q[7];\nrz(0.0015) q[7];\nrx(1.5716) q[8];\nrz(0.0026) q[8];\nrx(0.0028) q[9];\nrz(0.0073) q[9];\nrx(0.8626) q[10];\nrz(0.0022) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x5) q[7];\nrx(x15) q[8];\nrz(x9) q[8];\nrx(x16) q[9];\nrz(x17) q[9];\nrx(x18) q[10];\nrz(x19) q[10];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x2) q[1];\nrz(x22) q[1];\nrx(x23) q[2];\nrz(x24) q[2];\nrx(x25) q[3];\nrz(x9) q[3];\nrx(x26) q[4];\nrz(x27) q[4];\nrx(x10) q[5];\nrz(x28) q[5];\nrx(x29) q[6];\nrz(x30) q[6];\nrx(x31) q[7];\nrz(x32) q[7];\nrx(x33) q[8];\nrz(x34) q[8];\nrx(x16) q[9];\nrz(x35) q[9];\nrx(x36) q[10];\nrz(x37) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["d78f7556e7639886d17f02ad3944a31a","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}]}","{\"states\": [448, 451], \"expectation_value\": -1.595934453242942, \"params\": [[0.0766], [-0.0845]], \"bitstrings\": [\"000111111\", \"000111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0032081268649617385, 0.0033673285586248744], \"optimization_time\": 1.5645623207092285}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)",5,9,1,"{\"smallest_eigenvalues\": [-18.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"000111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.2298) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2298) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0766) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(-0.383) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(-0.383) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.1532) q[4];\ncx q[3], q[4];\ncx q[6], q[5];\nrz(-0.383) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(0.1532) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.1532) q[5];\ncx q[4], q[5];\ncx q[8], q[7];\nrz(-0.1532) q[7];\ncx q[8], q[7];\nrz(0.0766) q[1];\nrz(0.0766) q[0];\nrz(0.0766) q[2];\nrz(-0.3064) q[6];\nrz(-0.3064) q[3];\nrz(-0.3064) q[4];\nrz(-0.3064) q[5];\nrz(0.0766) q[8];\nrz(0.0766) q[7];\nh q[0];\nrz(-0.169) q[0];\nh q[0];\nh q[1];\nrz(-0.169) q[1];\nh q[1];\nh q[2];\nrz(-0.169) q[2];\nh q[2];\nh q[3];\nrz(-0.169) q[3];\nh q[3];\nh q[4];\nrz(-0.169) q[4];\nh q[4];\nh q[5];\nrz(-0.169) q[5];\nh q[5];\nh q[6];\nrz(-0.169) q[6];\nh q[6];\nh q[7];\nrz(-0.169) q[7];\nh q[7];\nh q[8];\nrz(-0.169) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x2) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x3) q[4];\ncx q[3], q[4];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x3) q[5];\ncx q[4], q[5];\ncx q[8], q[7];\nrz(x4) q[7];\ncx q[8], q[7];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x5) q[6];\nrz(x5) q[3];\nrz(x5) q[4];\nrz(x5) q[5];\nrz(x1) q[8];\nrz(x1) q[7];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["a95dd18a873671a30a757f426a8fa77a","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 1, \"target\": 8}, {\"weight\": 17, \"source\": 1, \"target\": 5}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 2, \"target\": 4}, {\"weight\": 19, \"source\": 3, \"target\": 6}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 17, \"source\": 5, \"target\": 7}, {\"weight\": 6, \"source\": 6, \"target\": 7}]}","{\"states\": [410, 218], \"expectation_value\": -8.158605853566325, \"params\": [[-0.053200000000000004], [0.07300000000000001]], \"bitstrings\": [\"001100101\", \"100100101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0044241739579024405, 0.005069065046977485], \"optimization_time\": 1.812147617340088}","5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 7.5 * Z(2) + 1.5 * Z(0) + 18.5 * Z(1) + 5.5 * Z(4) + 2.0 * Z(3) + 9.5 * Z(5) + 5.5 * Z(6) + 13.5 * Z(7) + 3.0 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-77.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -65.5, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(-0.532) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.532) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.532) q[1];\ncx q[0], q[1];\ncx q[4], q[3];\nrz(-0.532) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(-0.532) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.532) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(-0.532) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.532) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.532) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(-0.532) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(-0.532) q[8];\ncx q[7], q[8];\nrz(-0.798) q[2];\nrz(-0.1596) q[0];\nrz(-1.9684) q[1];\nrz(-0.5852) q[4];\nrz(-0.2128) q[3];\nrz(-1.0108) q[5];\nrz(-0.5852) q[6];\nrz(-1.4364) q[7];\nrz(-0.3192) q[8];\nh q[0];\nrz(0.146) q[0];\nh q[0];\nh q[1];\nrz(0.146) q[1];\nh q[1];\nh q[2];\nrz(0.146) q[2];\nh q[2];\nh q[3];\nrz(0.146) q[3];\nh q[3];\nh q[4];\nrz(0.146) q[4];\nh q[4];\nh q[5];\nrz(0.146) q[5];\nh q[5];\nh q[6];\nrz(0.146) q[6];\nh q[6];\nh q[7];\nrz(0.146) q[7];\nh q[7];\nh q[8];\nrz(0.146) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x4) q[4];\nrz(x5) q[3];\nrz(x6) q[5];\nrz(x4) q[6];\nrz(x7) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 9}\"}","{\"circuits\": [], \"gradients\": []}"]
["a3571c19d72a014065614d323aff3379","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [14, 30], \"expectation_value\": -2.0596938160692195, \"params\": [-0.011300000000000001, 0.4375, -0.016, 0.0041, 0.8049000000000001, 0.23340000000000002, 0.8046000000000001, 0.0012000000000000001, 0.8119000000000001, 0.17880000000000001, 0.8077000000000001, 0.0034000000000000002, 0.8093, 0.2338, 0.805, 0.004, 0.8044, 0.2131, 0.8106, 0.0033, 0.1819, 0.4237, 0.1763, 0.003, 0.039900000000000005, -0.035500000000000004, 0.042100000000000005, -0.0356, 0.0061, 0.39130000000000004], \"bitstrings\": [\"110001\", \"100001\"], \"total_optimization_steps\": 80, \"probabilities\": [0.06695910753647086, 0.0724919161971888], \"optimization_time\": 16.00279474258423}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2)",5,6,1,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(-0.0113) q[0];\nrz(0.4375) q[0];\nrx(0.8049) q[1];\nrz(0.2334) q[1];\nrx(0.8119) q[2];\nrz(0.1788) q[2];\nrx(0.8093) q[3];\nrz(0.2338) q[3];\nrx(0.8044) q[4];\nrz(0.2131) q[4];\nrx(0.1819) q[5];\nrz(0.4237) q[5];\ncrz(0.0061) q[5], q[4];\ncrz(-0.0356) q[5], q[3];\ncrz(0.0421) q[5], q[2];\ncrz(-0.0355) q[5], q[1];\ncrz(0.0399) q[5], q[0];\ncrz(0.3913) q[4], q[5];\ncrz(-0.0356) q[4], q[3];\ncrz(0.0421) q[4], q[2];\ncrz(-0.0355) q[4], q[1];\ncrz(0.0399) q[4], q[0];\ncrz(0.3913) q[3], q[5];\ncrz(0.0061) q[3], q[4];\ncrz(0.0421) q[3], q[2];\ncrz(-0.0355) q[3], q[1];\ncrz(0.0399) q[3], q[0];\ncrz(0.3913) q[2], q[5];\ncrz(0.0061) q[2], q[4];\ncrz(-0.0356) q[2], q[3];\ncrz(-0.0355) q[2], q[1];\ncrz(0.0399) q[2], q[0];\ncrz(0.3913) q[1], q[5];\ncrz(0.0061) q[1], q[4];\ncrz(-0.0356) q[1], q[3];\ncrz(0.0421) q[1], q[2];\ncrz(0.0399) q[1], q[0];\ncrz(0.3913) q[0], q[5];\ncrz(0.0061) q[0], q[4];\ncrz(-0.0356) q[0], q[3];\ncrz(0.0421) q[0], q[2];\ncrz(-0.0355) q[0], q[1];\nrx(-0.016) q[0];\nrz(0.0041) q[0];\nrx(0.8046) q[1];\nrz(0.0012) q[1];\nrx(0.8077) q[2];\nrz(0.0034) q[2];\nrx(0.805) q[3];\nrz(0.004) q[3];\nrx(0.8106) q[4];\nrz(0.0033) q[4];\nrx(0.1763) q[5];\nrz(0.003) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\ncrz(x12) q[5], q[4];\ncrz(x13) q[5], q[3];\ncrz(x14) q[5], q[2];\ncrz(x15) q[5], q[1];\ncrz(x16) q[5], q[0];\ncrz(x17) q[4], q[5];\ncrz(x13) q[4], q[3];\ncrz(x14) q[4], q[2];\ncrz(x15) q[4], q[1];\ncrz(x16) q[4], q[0];\ncrz(x17) q[3], q[5];\ncrz(x12) q[3], q[4];\ncrz(x14) q[3], q[2];\ncrz(x15) q[3], q[1];\ncrz(x16) q[3], q[0];\ncrz(x17) q[2], q[5];\ncrz(x12) q[2], q[4];\ncrz(x13) q[2], q[3];\ncrz(x15) q[2], q[1];\ncrz(x16) q[2], q[0];\ncrz(x17) q[1], q[5];\ncrz(x12) q[1], q[4];\ncrz(x13) q[1], q[3];\ncrz(x14) q[1], q[2];\ncrz(x16) q[1], q[0];\ncrz(x17) q[0], q[5];\ncrz(x12) q[0], q[4];\ncrz(x13) q[0], q[3];\ncrz(x14) q[0], q[2];\ncrz(x15) q[0], q[1];\nrx(x18) q[0];\nrz(x19) q[0];\nrx(x20) q[1];\nrz(x21) q[1];\nrx(x22) q[2];\nrz(x23) q[2];\nrx(x24) q[3];\nrz(x25) q[3];\nrx(x26) q[4];\nrz(x27) q[4];\nrx(x28) q[5];\nrz(x29) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["ea6f28b1d52734982303edc3e4a649bb","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 1, \"target\": 6}, {\"weight\": 11, \"source\": 1, \"target\": 5}, {\"weight\": 8, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 2, \"target\": 5}, {\"weight\": 15, \"source\": 3, \"target\": 4}, {\"weight\": 17, \"source\": 3, \"target\": 5}, {\"weight\": 7, \"source\": 4, \"target\": 5}]}","{\"states\": [206, 110], \"expectation_value\": -24.185413123433555, \"params\": [[-0.0342, 0.0002, 0.008700000000000001], [0.0751, 0.0616, 0.0531]], \"bitstrings\": [\"00110001\", \"10010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01282775526791171, 0.014347647987465389], \"optimization_time\": 7.178169250488281}","4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) + 3.5 * Z(0) + 17.5 * Z(1) + 13.5 * Z(4) + 8.0 * Z(3) + 11.5 * Z(5) + 20.5 * Z(6) + 11.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-62.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -56.5, \"smallest_bitstrings\": [\"10010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(-0.2736) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.2736) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.2736) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(-0.2736) q[4];\ncx q[1], q[4];\ncx q[4], q[3];\nrz(-0.2736) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(-0.2736) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.2736) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(-0.2736) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(-0.2736) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.2736) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.2736) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(-0.2736) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.2736) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.2736) q[7];\ncx q[6], q[7];\nrz(-0.4446) q[2];\nrz(-0.2394) q[0];\nrz(-1.197) q[1];\nrz(-0.9234) q[4];\nrz(-0.5472) q[3];\nrz(-0.7866) q[5];\nrz(-1.4022) q[6];\nrz(-0.7866) q[7];\nh q[0];\nrz(0.1502) q[0];\nh q[0];\nh q[1];\nrz(0.1502) q[1];\nh q[1];\nh q[2];\nrz(0.1502) q[2];\nh q[2];\nh q[3];\nrz(0.1502) q[3];\nh q[3];\nh q[4];\nrz(0.1502) q[4];\nh q[4];\nh q[5];\nrz(0.1502) q[5];\nh q[5];\nh q[6];\nrz(0.1502) q[6];\nh q[6];\nh q[7];\nrz(0.1502) q[7];\nh q[7];\ncx q[2], q[0];\nrz(0.0016) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0016) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(0.0016) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(0.0016) q[4];\ncx q[1], q[4];\ncx q[4], q[3];\nrz(0.0016) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(0.0016) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(0.0016) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(0.0016) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(0.0016) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0016) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.0016) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.0016) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0016) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0016) q[7];\ncx q[6], q[7];\nrz(0.0026) q[2];\nrz(0.0014) q[0];\nrz(0.007) q[1];\nrz(0.0054) q[4];\nrz(0.0032) q[3];\nrz(0.0046) q[5];\nrz(0.0082) q[6];\nrz(0.0046) q[7];\nh q[0];\nrz(0.1232) q[0];\nh q[0];\nh q[1];\nrz(0.1232) q[1];\nh q[1];\nh q[2];\nrz(0.1232) q[2];\nh q[2];\nh q[3];\nrz(0.1232) q[3];\nh q[3];\nh q[4];\nrz(0.1232) q[4];\nh q[4];\nh q[5];\nrz(0.1232) q[5];\nh q[5];\nh q[6];\nrz(0.1232) q[6];\nh q[6];\nh q[7];\nrz(0.1232) q[7];\nh q[7];\ncx q[2], q[0];\nrz(0.0696) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0696) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(0.0696) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(0.0696) q[4];\ncx q[1], q[4];\ncx q[4], q[3];\nrz(0.0696) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(0.0696) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(0.0696) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(0.0696) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(0.0696) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0696) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(0.0696) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(0.0696) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.0696) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0696) q[7];\ncx q[6], q[7];\nrz(0.1131) q[2];\nrz(0.0609) q[0];\nrz(0.3045) q[1];\nrz(0.2349) q[4];\nrz(0.1392) q[3];\nrz(0.2001) q[5];\nrz(0.3567) q[6];\nrz(0.2001) q[7];\nh q[0];\nrz(0.1062) q[0];\nh q[0];\nh q[1];\nrz(0.1062) q[1];\nh q[1];\nh q[2];\nrz(0.1062) q[2];\nh q[2];\nh q[3];\nrz(0.1062) q[3];\nh q[3];\nh q[4];\nrz(0.1062) q[4];\nh q[4];\nh q[5];\nrz(0.1062) q[5];\nh q[5];\nh q[6];\nrz(0.1062) q[6];\nh q[6];\nh q[7];\nrz(0.1062) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x3) q[1];\nrz(x4) q[4];\nrz(x5) q[3];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x6) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x9) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x9) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[4], q[3];\nrz(x9) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x9) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x9) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\nrz(x10) q[2];\nrz(x11) q[0];\nrz(x12) q[1];\nrz(x13) q[4];\nrz(x14) q[3];\nrz(x15) q[5];\nrz(x16) q[6];\nrz(x15) q[7];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\ncx q[2], q[0];\nrz(x18) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x18) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x18) q[1];\ncx q[0], q[1];\ncx q[1], q[4];\nrz(x18) q[4];\ncx q[1], q[4];\ncx q[4], q[3];\nrz(x18) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x18) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x18) q[6];\ncx q[4], q[6];\ncx q[3], q[6];\nrz(x18) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x18) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x18) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x18) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x18) q[7];\ncx q[6], q[7];\nrz(x19) q[2];\nrz(x20) q[0];\nrz(x21) q[1];\nrz(x22) q[4];\nrz(x23) q[3];\nrz(x24) q[5];\nrz(x25) q[6];\nrz(x24) q[7];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["9a44f437194a4879d426f5b6a5686299","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}]}","{\"states\": [38, 7], \"expectation_value\": -23.13645609781897, \"params\": null, \"bitstrings\": [\"11011001\", \"11111000\"], \"total_optimization_steps\": 85, \"probabilities\": [0.10998425517769823, 0.6193304682934831], \"optimization_time\": 199.7149772644043}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 2.75 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 2.75 * (Z(6) @ Z(5)) + 3.0 * (Z(7) @ Z(1)) + 3.0 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 3.0 * (Z(7) @ Z(3)) + 2.75 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(5)) + 3.0 * (Z(7) @ Z(6)) + -7.25 * Z(1) + -7.0 * Z(0) + -7.0 * Z(2) + -7.0 * Z(3) + -7.25 * Z(4) + -6.25 * Z(5) + -6.5 * Z(6) + -6.25 * Z(7)",6,8,1,"{\"smallest_eigenvalues\": [-24.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.75, \"smallest_bitstrings\": [\"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[1];\nry(-0.2982) q[4];\nry(-0.9561) q[0];\ncry(-1.2721) q[6], q[4];\ncry(-0.7941) q[7], q[1];\ncry(-1.5708) q[5], q[3];\nry(1.0487) q[5];\ncry(-1.5708) q[7], q[2];\nry(0.8819) q[7];\ncry(-0.6143) q[5], q[0];\nry(-0.4464) q[3];\nry(0.9965) q[6];\nry(-0.3215) q[2];\ncry(-0.3932) q[5], q[4];\ncry(-0.2677) q[6], q[1];\ncry(0.3973) q[5], q[6];\ncry(-0.2041) q[7], q[4];\ncry(0.2519) q[6], q[5];\ncry(-0.1857) q[6], q[3];\ncry(-0.1386) q[6], q[2];\ncry(0.346) q[6], q[7];\ncry(-0.175) q[5], q[2];\ncry(0.1133) q[6], q[0];\ncry(-0.1368) q[7], q[0];\ncry(-0.0662) q[5], q[1];\ncry(0.1967) q[5], q[7];\ncry(-0.5882) q[3], q[0];\ncry(0.1479) q[7], q[5];\ncry(-0.0838) q[7], q[3];\ncry(0.1408) q[7], q[6];\ncry(-0.3543) q[2], q[1];\ncry(-0.2615) q[3], q[4];\ncry(-0.237) q[2], q[7];\ncry(-0.1504) q[2], q[4];\ncry(0.2641) q[3], q[6];\ncry(-0.1867) q[4], q[1];\ncry(0.2285) q[4], q[7];\ncry(-0.0987) q[2], q[0];\ncry(-0.1746) q[4], q[6];\ncry(0.1434) q[2], q[5];\ncry(-0.0845) q[2], q[3];\ncry(0.1423) q[2], q[6];\ncry(0.1546) q[4], q[5];\ncry(-0.1097) q[4], q[3];\ncry(0.0981) q[4], q[0];\ncry(-0.0654) q[3], q[2];\ncry(0.1341) q[3], q[7];\ncry(-0.0711) q[3], q[1];\ncry(-0.0716) q[4], q[2];\ncry(-0.0542) q[3], q[5];\ncry(0.0778) q[1], q[5];\ncry(0.0614) q[1], q[6];\ncry(-0.0377) q[1], q[0];\ncry(-0.0334) q[1], q[4];\ncry(0.0381) q[1], q[2];\ncry(-0.0216) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"k\": 5}",{"$cut":{"chars":103373,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nry(-0.2982) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[6], q[4];\\ncry(-0.7941) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[6], q[4];\\ncry(-0.7941) q[7], q[1];\\ncry(-1.5708) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[6], q[4];\\ncry(-0.7941) q[7], q[1];\\ncry(-1.5708) q[5], q[3];\\nry(1.0487) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[6], q[4];\\ncry(-0.7941) q[7], q[1];\\ncry(-1.5708) q[5], q[3];\\nry(1.0487) q[5];\\ncry(-1.5708) q[7], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[6], q[4];\\ncry(-0.7941) q[7], q[1];\\ncry(-1.5708) q[5], q[3];\\nry(1.0487) q[5];\\ncry(-1.5708) q[7], q[2];\\nry(0.8819) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-0.7752) q[1];\\nry(-0.2982) q[4];\\nry(-0.9561) q[0];\\ncry(-1.2721) q[6], q[4];\\ncry(-0.7941) q[7], q[1];\\ncr"}}]
["5144181ac27497fdfa9bdb5b8b799630","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}]}","{\"states\": [2, 0], \"expectation_value\": -0.0465287059136857, \"params\": [[0.0516, 0.020300000000000002], [-0.0541, -0.0269]], \"bitstrings\": [\"01\", \"11\"], \"total_optimization_steps\": 10, \"probabilities\": [0.2545269430879782, 0.254841761846454], \"optimization_time\": 0.6690340042114258}","0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -1.0 * Z(1)",1,2,2,"{\"smallest_eigenvalues\": [-1.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.5, \"smallest_bitstrings\": [\"11\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\ncx q[1], q[0];\nrz(0.0516) q[0];\ncx q[1], q[0];\nrz(-0.1032) q[0];\nrz(-0.1032) q[1];\nh q[0];\nrz(-0.1082) q[0];\nh q[0];\nh q[1];\nrz(-0.1082) q[1];\nh q[1];\ncx q[1], q[0];\nrz(0.0203) q[0];\ncx q[1], q[0];\nrz(-0.0406) q[0];\nrz(-0.0406) q[1];\nh q[0];\nrz(-0.0538) q[0];\nh q[0];\nh q[1];\nrz(-0.0538) q[1];\nh q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[2] c;\nqubit[2] q;\nh q[0];\nh q[1];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\nrz(x1) q[0];\nrz(x1) q[1];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\ncx q[1], q[0];\nrz(x3) q[0];\ncx q[1], q[0];\nrz(x4) q[0];\nrz(x4) q[1];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];",null,"{\"circuits\": [], \"gradients\": []}"]
["434247303927267147","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"hyperedges\": [[8, 2], [9, 10], [0, 5], [1, 5, 7], [0, 3, 4], [9, 11], [9, 2, 7], [8, 5], [1, 10], [8, 10, 12], [0, 11], [0, 9, 1], [8, 4], [0, 6], [8, 1], [2, 3], [0, 2], [1, 11, 6], [3, 12], [10, 3], [10, 11, 5], [0, 3, 7], [1, 3, 6], [0, 12], [9, 3, 7], [8, 9]]}","{\"states\": [3529, 3561], \"expectation_value\": -6.932256662659357, \"params\": [-0.0022, -0.0022, 1.5716, 1.566, 1.5733000000000001, 1.5745, 0.4995, 0.5021, 1.5649000000000002, 1.5719, 1.5690000000000002, 1.5684, 1.6026, 1.5338, 0.8306, 0.8219000000000001, -0.0022, -0.0022, 1.5719, 1.5743, -0.0029000000000000002, -0.0029000000000000002, 0.3557, 0.28850000000000003, 1.5727, 1.5750000000000002, 0.0041, 0.0074, 1.1393, 0.003, 0.0031000000000000003, 0.0053, -0.0012000000000000001, 0.0013000000000000002, 0.0035, 0.0002, 0.0018000000000000002, 0.0005, 0.0135, 0.0059, 0.08800000000000001, 0.0029000000000000002, 0.7142000000000001, 0.0056, 1.1627, 0.0016, 0.0025, 0.0017000000000000001, -1.1829, 0.0045000000000000005, 0.0023, 0.0051], \"bitstrings\": [\"1001000110110\", \"1001000010110\"], \"total_optimization_steps\": 220, \"probabilities\": [0.3268112690882635, 0.3652017355851147], \"optimization_time\": 17.00418257713318}","0.5 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.5 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(9)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(10)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(11) @ Z(9)) + 0.16666666666666666 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(0)) + 0.16666666666666666 * (Z(11) @ Z(5)) + 0.16666666666666666 * (Z(11) @ Z(1)) + 0.16666666666666666 * (Z(12) @ Z(8)) + 0.16666666666666666 * (Z(12) @ Z(10)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(11)) + 0.16666666666666674 * Z(2) + 0.16666666666666652 * Z(8) + 0.5 * Z(9) + 0.33333333333333304 * Z(10) + 0.5000000000000004 * Z(0) + 0.3333333333333335 * Z(5) + 0.6666666666666667 * Z(1) + 0.6666666666666666 * Z(7) + 0.6666666666666665 * Z(3) + 0.16666666666666663 * Z(4) + 0.33333333333333326 * Z(11) + 0.16666666666666674 * Z(12) + 0.33333333333333326 * Z(6)",13,13,1,"{\"smallest_eigenvalues\": [-7.3333333333333375], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.333333333333336, \"smallest_bitstrings\": [\"1001000010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(-0.0022) q[0];\nry(1.5716) q[1];\nry(1.5733) q[2];\nry(0.4995) q[3];\nry(1.5649) q[4];\nry(1.569) q[5];\nry(1.6026) q[6];\nry(0.8306) q[7];\nry(-0.0022) q[8];\nry(1.5719) q[9];\nry(-0.0029) q[10];\nry(0.3557) q[11];\nry(1.5727) q[12];\ncrz(0.0041) q[12], q[0];\ncrz(0.0023) q[11], q[12];\ncrz(-1.1829) q[10], q[11];\ncrz(0.0025) q[9], q[10];\ncrz(1.1627) q[8], q[9];\ncrz(0.7142) q[7], q[8];\ncrz(0.088) q[6], q[7];\ncrz(0.0135) q[5], q[6];\ncrz(0.0018) q[4], q[5];\ncrz(0.0035) q[3], q[4];\ncrz(-0.0012) q[2], q[3];\ncrz(0.0031) q[1], q[2];\ncrz(1.1393) q[0], q[1];\nry(-0.0022) q[0];\nry(1.566) q[1];\nry(1.5745) q[2];\nry(0.5021) q[3];\nry(1.5719) q[4];\nry(1.5684) q[5];\nry(1.5338) q[6];\nry(0.8219) q[7];\nry(-0.0022) q[8];\nry(1.5743) q[9];\nry(-0.0029) q[10];\nry(0.2885) q[11];\nry(1.575) q[12];\ncrz(0.0074) q[12], q[11];\ncrz(0.003) q[0], q[12];\ncrz(0.0053) q[0], q[1];\ncrz(0.0013) q[1], q[2];\ncrz(0.0002) q[2], q[3];\ncrz(0.0005) q[3], q[4];\ncrz(0.0059) q[4], q[5];\ncrz(0.0029) q[5], q[6];\ncrz(0.0056) q[6], q[7];\ncrz(0.0016) q[7], q[8];\ncrz(0.0017) q[8], q[9];\ncrz(0.0045) q[9], q[10];\ncrz(0.0051) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x0) q[8];\nry(x8) q[9];\nry(x9) q[10];\nry(x10) q[11];\nry(x11) q[12];\ncrz(x12) q[12], q[0];\ncrz(x13) q[11], q[12];\ncrz(x14) q[10], q[11];\ncrz(x15) q[9], q[10];\ncrz(x16) q[8], q[9];\ncrz(x17) q[7], q[8];\ncrz(x18) q[6], q[7];\ncrz(x19) q[5], q[6];\ncrz(x20) q[4], q[5];\ncrz(x21) q[3], q[4];\ncrz(x22) q[2], q[3];\ncrz(x23) q[1], q[2];\ncrz(x24) q[0], q[1];\nry(x0) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x8) q[4];\nry(x28) q[5];\nry(x29) q[6];\nry(x30) q[7];\nry(x0) q[8];\nry(x31) q[9];\nry(x9) q[10];\nry(x32) q[11];\nry(x33) q[12];\ncrz(x34) q[12], q[11];\ncrz(x35) q[0], q[12];\ncrz(x36) q[0], q[1];\ncrz(x37) q[1], q[2];\ncrz(x38) q[2], q[3];\ncrz(x39) q[3], q[4];\ncrz(x40) q[4], q[5];\ncrz(x41) q[5], q[6];\ncrz(x42) q[6], q[7];\ncrz(x43) q[7], q[8];\ncrz(x44) q[8], q[9];\ncrz(x45) q[9], q[10];\ncrz(x46) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"circuits\": [], \"gradients\": []}"]
["-5090129538137167010","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3], \"hyperedges\": [[0, 2, 3], [0, 1, 2], [1, 2, 3]]}","{\"states\": [10, 13], \"expectation_value\": -0.028966445214748813, \"params\": [[0.0729], [-0.0714]], \"bitstrings\": [\"0101\", \"0010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.06400834748944542, 0.06445252293053862], \"optimization_time\": 0.3845038414001465}","0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.3333333333333333 * Z(0) + 0.3333333333333333 * Z(3) + 0.3333333333333333 * Z(1)",1,4,1,"{\"smallest_eigenvalues\": [-1.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.6666666666666667, \"smallest_bitstrings\": [\"0010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[2], q[0];\nrz(0.0486) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(0.0486) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(0.0243) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(0.0486) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(0.0243) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(0.0243) q[1];\ncx q[3], q[1];\nrz(0.0729) q[2];\nrz(0.0486) q[0];\nrz(0.0486) q[3];\nrz(0.0486) q[1];\nh q[0];\nrz(-0.1428) q[0];\nh q[0];\nh q[1];\nrz(-0.1428) q[1];\nh q[1];\nh q[2];\nrz(-0.1428) q[2];\nh q[2];\nh q[3];\nrz(-0.1428) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\nrz(x2) q[2];\nrz(x0) q[0];\nrz(x0) q[3];\nrz(x0) q[1];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];",null,"{\"circuits\": [], \"gradients\": []}"]
["5977c975ee74442620a2f317f357b942","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 6, \"target\": 7}]}","{\"states\": [181, 149], \"expectation_value\": -3.6606252840470157, \"params\": [[[0.503, -0.0036000000000000003], [-0.015000000000000001, 0.2561], [0.34840000000000004, -0.0329], [0.5044000000000001, 0.0039000000000000003], [-0.0205, -0.2576], [0.4505, 0.0055000000000000005], [0.0046, -0.27080000000000004], [0.5061, -0.0035]], [[0.5041, -0.0036000000000000003], [-0.0219, 0.25630000000000003], [0.3416, -0.0329], [0.4968, 0.0039000000000000003], [-0.020300000000000002, -0.2577], [0.4526, 0.0054], [0.0008, -0.2732], [0.5085000000000001, -0.0036000000000000003]], [[0.5029, -0.0036000000000000003], [-0.0188, 0.25620000000000004], [0.3436, -0.0332], [0.5026, 0.0039000000000000003], [-0.0199, -0.2582], [0.4535, 0.0055000000000000005], [0.0044, -0.27040000000000003], [0.5047, -0.0035]], [[0.5008, 0.0016], [-0.0206, 0.0079], [0.34840000000000004, 0.0098], [0.4993, 0.0089], [-0.016, 0.0036000000000000003], [0.4511, 0.0034000000000000002], [0.0031000000000000003, 0.004], [0.5099, 0.0082]]], \"bitstrings\": [\"01001010\", \"01101010\"], \"total_optimization_steps\": 50, \"probabilities\": [0.09107066238713608, 0.13350464478142918], \"optimization_time\": 24.89920401573181}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(7) + -0.5 * Z(5) + -0.5 * Z(2) + -1.5 * Z(6)",1,8,4,"{\"smallest_eigenvalues\": [-5.0, -5.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"01101010\", \"01001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.503) q[0];\nrz(-0.0036) q[0];\nrx(-0.015) q[1];\nrz(0.2561) q[1];\nrx(0.3484) q[2];\nrz(-0.0329) q[2];\nrx(0.5044) q[3];\nrz(0.0039) q[3];\nrx(-0.0205) q[4];\nrz(-0.2576) q[4];\nrx(0.4505) q[5];\nrz(0.0055) q[5];\nrx(0.0046) q[6];\nrz(-0.2708) q[6];\nrx(0.5061) q[7];\nrz(-0.0035) q[7];\nrx(0.5041) q[0];\nrz(-0.0036) q[0];\nrx(-0.0219) q[1];\nrz(0.2563) q[1];\nrx(0.3416) q[2];\nrz(-0.0329) q[2];\nrx(0.4968) q[3];\nrz(0.0039) q[3];\nrx(-0.0203) q[4];\nrz(-0.2577) q[4];\nrx(0.4526) q[5];\nrz(0.0054) q[5];\nrx(0.0008) q[6];\nrz(-0.2732) q[6];\nrx(0.5085) q[7];\nrz(-0.0036) q[7];\nrx(0.5029) q[0];\nrz(-0.0036) q[0];\nrx(-0.0188) q[1];\nrz(0.2562) q[1];\nrx(0.3436) q[2];\nrz(-0.0332) q[2];\nrx(0.5026) q[3];\nrz(0.0039) q[3];\nrx(-0.0199) q[4];\nrz(-0.2582) q[4];\nrx(0.4535) q[5];\nrz(0.0055) q[5];\nrx(0.0044) q[6];\nrz(-0.2704) q[6];\nrx(0.5047) q[7];\nrz(-0.0035) q[7];\nrx(0.5008) q[0];\nrz(0.0016) q[0];\nrx(-0.0206) q[1];\nrz(0.0079) q[1];\nrx(0.3484) q[2];\nrz(0.0098) q[2];\nrx(0.4993) q[3];\nrz(0.0089) q[3];\nrx(-0.016) q[4];\nrz(0.0036) q[4];\nrx(0.4511) q[5];\nrz(0.0034) q[5];\nrx(0.0031) q[6];\nrz(0.004) q[6];\nrx(0.5099) q[7];\nrz(0.0082) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[0];\nrz(x1) q[0];\nrx(x17) q[1];\nrz(x18) q[1];\nrx(x19) q[2];\nrz(x5) q[2];\nrx(x20) q[3];\nrz(x7) q[3];\nrx(x21) q[4];\nrz(x22) q[4];\nrx(x23) q[5];\nrz(x24) q[5];\nrx(x25) q[6];\nrz(x26) q[6];\nrx(x27) q[7];\nrz(x1) q[7];\nrx(x28) q[0];\nrz(x1) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x7) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x36) q[5];\nrz(x11) q[5];\nrx(x37) q[6];\nrz(x38) q[6];\nrx(x39) q[7];\nrz(x15) q[7];\nrx(x40) q[0];\nrz(x41) q[0];\nrx(x42) q[1];\nrz(x43) q[1];\nrx(x4) q[2];\nrz(x44) q[2];\nrx(x45) q[3];\nrz(x46) q[3];\nrx(x47) q[4];\nrz(x48) q[4];\nrx(x49) q[5];\nrz(x50) q[5];\nrx(x51) q[6];\nrz(x52) q[6];\nrx(x53) q[7];\nrz(x54) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["6e104488336dc4e2d5aa766674769faa","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [113, 116], \"expectation_value\": -5.49988376277548, \"params\": null, \"bitstrings\": [\"0001110\", \"0001011\"], \"total_optimization_steps\": 31, \"probabilities\": [1.6414156695510915e-05, 0.9999151816609215], \"optimization_time\": 25.76160717010498}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nry(-1.5681) q[5];\nry(-1.4449) q[6];\nry(1.4449) q[1];\nry(1.4449) q[0];\nry(1.4417) q[2];\nry(1.4417) q[4];\ncry(-0.1259) q[4], q[6];\ncry(0.1217) q[1], q[2];\ncry(0.1216) q[2], q[4];\ncry(0.1188) q[2], q[0];\ncry(0.1186) q[0], q[1];\ncry(-0.0027) q[4], q[5];\ncry(-0.0005) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\ncry(-0.0005) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\ncry(-0.0005) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\ncry(-0.0005) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\ncry(-0.0005) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\ncry(-0.0005) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\ncry(-0.0005) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\ncry(-0.0005) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\ncry(-0.0005) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[6];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[4];\\ncry(-0.1259) q[4], q[6];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[4];\\ncry(0.1188) q[2], q[0];\\ncry(0.1186) q[0], q[1];\\ncry(-0.0027) q[4], q[5];\\ncry(-0.0005) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [2.0122, 1.0057, 0.5025, 0.5007, 0.5005, 0.4961, 0.4958, 0.1931, 0.0627, 0.0628, 0.0613, 0.0612, 0.0125, 0.0101, 0.01, 0.01, 0.0075, 0.0075, 0.0075, 0.0075, 0.006, 0.006, 0.0053, 0.005, 0.005, 0.0045, 0.0045, 0.0045, 0.003, 0.003, 0.003]}"]
["b4844a241e7c75ea7eb690acd3c4c004","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}]}","{\"states\": [443, 427], \"expectation_value\": -3.046307812051569, \"params\": [2.6756, 0.006200000000000001, 2.6095, 0.003, 1.5068000000000001, 0.0027, 2.3423000000000003, 0.0081, 1.5334, 0.0039000000000000003, 2.6677, 0.0034000000000000002, 1.5171000000000001, 0.0037, 2.6447000000000003, 0.0014, 2.6341, 0.0047, 0.008, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0.0058000000000000005, 0.0054, 0.0076, 0.0011, 0.0047], \"bitstrings\": [\"001000100\", \"001010100\"], \"total_optimization_steps\": 270, \"probabilities\": [0.08390913674725402, 0.09042870748561585], \"optimization_time\": 17.76504921913147}","0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 1.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(1) + 1.0 * Z(5) + 1.0 * Z(3) + 1.0 * Z(4) + 1.0 * Z(8) + 1.0 * Z(6) + 1.0 * Z(7)",18,9,1,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001010100\", \"001100010\", \"010001100\", \"010100001\", \"100010001\", \"100001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(2.6756) q[0];\nrz(0.0062) q[0];\nrx(2.6095) q[1];\nrz(0.003) q[1];\nrx(1.5068) q[2];\nrz(0.0027) q[2];\nrx(2.3423) q[3];\nrz(0.0081) q[3];\nrx(1.5334) q[4];\nrz(0.0039) q[4];\nrx(2.6677) q[5];\nrz(0.0034) q[5];\nrx(1.5171) q[6];\nrz(0.0037) q[6];\nrx(2.6447) q[7];\nrz(0.0014) q[7];\nrx(2.6341) q[8];\nrz(0.0047) q[8];\ncrz(0.008) q[8], q[0];\ncrz(0.0047) q[7], q[8];\ncrz(0.0011) q[6], q[7];\ncrz(0.0076) q[5], q[6];\ncrz(0.0054) q[4], q[5];\ncrz(0.0058) q[3], q[4];\ncrz(0.0072) q[2], q[3];\ncrz(0.0068) q[1], q[2];\ncrz(0.0052) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x17) q[7], q[8];\ncrz(x19) q[6], q[7];\ncrz(x20) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x22) q[3], q[4];\ncrz(x23) q[2], q[3];\ncrz(x24) q[1], q[2];\ncrz(x25) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 2}, {\"id\": 0}, {\"id\": 1}], \"edges\": [{\"source\": 2, \"target\": 0}, {\"source\": 2, \"target\": 1}, {\"source\": 0, \"target\": 1}]}}","{\"circuits\": [], \"gradients\": []}"]
["0b5f0e96c66f1fe8afca6f37edd06ab2","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [73, 22], \"expectation_value\": -0.5474677338024472, \"params\": [[-0.0328, -0.0247, -0.06430000000000001], [0.0357, 0.0066, 0.053000000000000005]], \"bitstrings\": [\"0110110\", \"1101001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009419447297402355, 0.00982859183577268], \"optimization_time\": 8.543688297271729}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(2)",1,7,3,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"1101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0328) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(-0.0328) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0328) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0328) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0328) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0328) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0328) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0328) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(-0.0328) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.0328) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.0328) q[6];\ncx q[5], q[6];\ncx q[6], q[2];\nrz(-0.0328) q[2];\ncx q[6], q[2];\nrz(0.1312) q[1];\nrz(0.0984) q[0];\nrz(0.0984) q[3];\nrz(0.0656) q[4];\nrz(0.0984) q[5];\nrz(0.0656) q[6];\nrz(0) q[2];\nh q[0];\nrz(0.0714) q[0];\nh q[0];\nh q[1];\nrz(0.0714) q[1];\nh q[1];\nh q[2];\nrz(0.0714) q[2];\nh q[2];\nh q[3];\nrz(0.0714) q[3];\nh q[3];\nh q[4];\nrz(0.0714) q[4];\nh q[4];\nh q[5];\nrz(0.0714) q[5];\nh q[5];\nh q[6];\nrz(0.0714) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0247) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(-0.0247) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0247) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0247) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0247) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0247) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0247) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0247) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(-0.0247) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.0247) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.0247) q[6];\ncx q[5], q[6];\ncx q[6], q[2];\nrz(-0.0247) q[2];\ncx q[6], q[2];\nrz(0.0988) q[1];\nrz(0.0741) q[0];\nrz(0.0741) q[3];\nrz(0.0494) q[4];\nrz(0.0741) q[5];\nrz(0.0494) q[6];\nrz(0) q[2];\nh q[0];\nrz(0.0132) q[0];\nh q[0];\nh q[1];\nrz(0.0132) q[1];\nh q[1];\nh q[2];\nrz(0.0132) q[2];\nh q[2];\nh q[3];\nrz(0.0132) q[3];\nh q[3];\nh q[4];\nrz(0.0132) q[4];\nh q[4];\nh q[5];\nrz(0.0132) q[5];\nh q[5];\nh q[6];\nrz(0.0132) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0643) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(-0.0643) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0643) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0643) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0643) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0643) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0643) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0643) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(-0.0643) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.0643) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(-0.0643) q[6];\ncx q[5], q[6];\ncx q[6], q[2];\nrz(-0.0643) q[2];\ncx q[6], q[2];\nrz(0.2572) q[1];\nrz(0.1929) q[0];\nrz(0.1929) q[3];\nrz(0.1286) q[4];\nrz(0.1929) q[5];\nrz(0.1286) q[6];\nrz(0) q[2];\nh q[0];\nrz(0.106) q[0];\nh q[0];\nh q[1];\nrz(0.106) q[1];\nh q[1];\nh q[2];\nrz(0.106) q[2];\nh q[2];\nh q[3];\nrz(0.106) q[3];\nh q[3];\nh q[4];\nrz(0.106) q[4];\nh q[4];\nh q[5];\nrz(0.106) q[5];\nh q[5];\nh q[6];\nrz(0.106) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x2) q[3];\nrz(x3) q[4];\nrz(x2) q[5];\nrz(x3) q[6];\nrz(x4) q[2];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x6) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x6) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\ncx q[6], q[2];\nrz(x6) q[2];\ncx q[6], q[2];\nrz(x7) q[1];\nrz(x8) q[0];\nrz(x8) q[3];\nrz(x9) q[4];\nrz(x8) q[5];\nrz(x9) q[6];\nrz(x4) q[2];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x11) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x11) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x11) q[6];\ncx q[5], q[6];\ncx q[6], q[2];\nrz(x11) q[2];\ncx q[6], q[2];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x13) q[3];\nrz(x14) q[4];\nrz(x13) q[5];\nrz(x14) q[6];\nrz(x4) q[2];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["fd959b015d7c5b50b2cd05831ed95a60","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [42, 44], \"expectation_value\": -3.9998997805961802, \"params\": null, \"bitstrings\": [\"010101\", \"010011\"], \"total_optimization_steps\": 28, \"probabilities\": [1.7124002311537545e-05, 0.9999499582800139], \"optimization_time\": 23.663185596466064}","0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4)",1,6,3,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"001101\", \"010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.4449) q[1];\nry(-1.4449) q[4];\nry(1.4449) q[0];\nry(1.4384) q[3];\nry(1.4384) q[2];\ncry(-0.1259) q[3], q[4];\ncry(-0.1259) q[3], q[1];\ncry(0.1248) q[0], q[2];\ncry(0.1244) q[2], q[3];\ncry(0.1186) q[3], q[0];\ncry(-0.0005) q[2], q[1];\ncry(-0.0005) q[2], q[4];\ncry(0.0076) q[3], q[2];\ncry(0.007) q[0], q[3];\ncry(0.0067) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\ncry(-0.0005) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\ncry(-0.0005) q[2], q[1];\\ncry(-0.0005) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\ncry(-0.0005) q[2], q[1];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\ncry(-0.0005) q[2], q[1];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[3], q[2];\\ncry(0.007) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\ncry(-0.0005) q[2], q[1];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[3], q[2];\\ncry(0.007) q[0], q[3];\\ncry(0.0067) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\ncry(-0.0005) q[2], q[1];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[3], q[2];\\ncry(0.007) q[0], q[3];\\ncry(0.0067) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\ncry(-0.0005) q[2], q[1];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[3], q[2];\\ncry(0.007) q[0], q[3];\\ncry(0.0067) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4384) q[3];\\nry(1.4384) q[2];\\ncry(-0.1259) q[3], q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(0.1248) q[0], q[2];\\ncry(0.1244) q[2], q[3];\\ncry(0.1186) q[3], q[0];\\ncry(-0.0005) q[2], q[1];\\ncry(-0.0005) q[2], q[4];\\ncry(0.0076) q[3], q[2];\\ncry(0.007) q[0], q[3];\\ncry(0.0067) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.5087, 0.5035, 0.5023, 0.5004, 0.492, 0.4917, 0.1915, 0.1915, 0.0648, 0.0647, 0.0617, 0.01, 0.0075, 0.0075, 0.006, 0.006, 0.005, 0.005, 0.0045, 0.0045, 0.0038, 0.0038, 0.0035, 0.0032, 0.003, 0.003, 0.003, 0.0025]}"]
["473775bc8d8b4cca680d00f7b64c1aa1","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}]}","{\"states\": [2, 3], \"expectation_value\": -10.822881527209319, \"params\": [[[0.46030000000000004, -0.1758], [0.1875, -0.2952], [0.1985, -0.29300000000000004], [0.4796, -0.17], [0.8002, -0.0016], [0.7966000000000001, 0.0015]], [[0.4652, 0.007], [0.1903, 0.0043], [0.1995, 0.004], [0.4859, 0.0064], [0.8036000000000001, 0.0068000000000000005], [0.7974, 0.0098]]], \"bitstrings\": [\"111101\", \"111100\"], \"total_optimization_steps\": 80, \"probabilities\": [0.14770788083219683, 0.15473975024200454], \"optimization_time\": 2.687408685684204}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + -6.25 * Z(1) + -5.75 * Z(0) + -6.25 * Z(2) + -5.75 * Z(3) + -5.5 * Z(4) + -5.5 * Z(5)",1,6,2,"{\"smallest_eigenvalues\": [-16.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.0, \"smallest_bitstrings\": [\"111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.4603) q[0];\nrz(-0.1758) q[0];\nrx(0.1875) q[1];\nrz(-0.2952) q[1];\nrx(0.1985) q[2];\nrz(-0.293) q[2];\nrx(0.4796) q[3];\nrz(-0.17) q[3];\nrx(0.8002) q[4];\nrz(-0.0016) q[4];\nrx(0.7966) q[5];\nrz(0.0015) q[5];\nrx(0.4652) q[0];\nrz(0.007) q[0];\nrx(0.1903) q[1];\nrz(0.0043) q[1];\nrx(0.1995) q[2];\nrz(0.004) q[2];\nrx(0.4859) q[3];\nrz(0.0064) q[3];\nrx(0.8036) q[4];\nrz(0.0068) q[4];\nrx(0.7974) q[5];\nrz(0.0098) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[0];\nrz(x13) q[0];\nrx(x14) q[1];\nrz(x15) q[1];\nrx(x16) q[2];\nrz(x17) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\nrx(x20) q[4];\nrz(x21) q[4];\nrx(x22) q[5];\nrz(x23) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["f5ca3fa53513e718dd1ab752cce53528","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [60, 58], \"expectation_value\": -4.9998837605244075, \"params\": null, \"bitstrings\": [\"1000011\", \"1000101\"], \"total_optimization_steps\": 31, \"probabilities\": [1.6414553871044653e-05, 0.9999151801987981], \"optimization_time\": 22.95253610610962}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nry(-1.5681) q[6];\nry(-1.4449) q[4];\nry(1.4449) q[2];\nry(1.4449) q[1];\nry(1.4417) q[5];\nry(1.4417) q[3];\ncry(-0.1259) q[5], q[4];\ncry(0.1217) q[2], q[3];\ncry(0.1216) q[3], q[5];\ncry(0.1188) q[3], q[1];\ncry(0.1186) q[1], q[2];\ncry(-0.0027) q[5], q[6];\ncry(-0.0005) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.5681) q[6];\\nry(-1.4449) q[4];\\nry(1.4449) q[2];\\nry(1.4449) q[1];\\nry(1.4417) q[5];\\nry(1.4417) q[3];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[2], q[3];\\ncry(0.1216) q[3], q[5];\\ncry(0.1188) q[3], q[1];\\ncry(0.1186) q[1], q[2];\\ncry(-0.0027) q[5], q[6];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.51, 1.0057, 0.5025, 0.5007, 0.5005, 0.4961, 0.4958, 0.1931, 0.0627, 0.0628, 0.0613, 0.0612, 0.0168, 0.0125, 0.01, 0.0075, 0.0075, 0.0075, 0.0075, 0.006, 0.006, 0.006, 0.0053, 0.005, 0.005, 0.0045, 0.0045, 0.0045, 0.003, 0.003, 0.003]}"]
["2653443677327490875","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[0, 1, 2, 3, 4, 5, 6, 8, 9, 11], [1, 2, 4, 6, 7, 8, 9, 10, 11], [1, 2, 3, 4, 6, 7, 8, 11], [0, 1, 4, 5, 6, 8, 9, 10, 11], [1, 2, 3, 7, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [2, 4, 5, 6, 7, 8, 9, 11], [1, 4, 5, 6, 7, 11], [1, 3, 4, 6, 7, 8, 9, 11], [0, 1, 3, 4, 6, 7, 8, 10], [3, 5, 7, 9, 11], [1, 2, 3, 5, 6, 9, 10, 11], [0, 2, 4, 5, 10, 11], [0, 1, 3, 4, 5, 8, 9, 10, 11], [2, 3, 6, 7, 8, 9, 10, 11], [0, 1, 2, 6, 7, 8], [1, 2, 3, 5, 7]]}","{\"states\": [1518, 2030], \"expectation_value\": -2.7613464098137555, \"params\": [[[0.5754, 0.0078000000000000005], [3.1386000000000003, 0.0078000000000000005], [1.6698000000000002, 0.0001], [3.1396, 0.004200000000000001], [3.1386000000000003, 0.0033], [3.1445000000000003, 0.0081], [2.0214000000000003, 0.0059], [0.6123000000000001, 0.0004], [3.1437, 0.0037], [3.1386000000000003, 0.0082], [3.1438, 0.0063], [0.5704, 0.0041]]], \"bitstrings\": [\"101000010001\", \"100000010001\"], \"total_optimization_steps\": 370, \"probabilities\": [0.2489362345775261, 0.30357343440864815], \"optimization_time\": 10.692823886871338}","0.09007936507936508 * (Z(0) @ Z(1)) + 0.19404761904761902 * (Z(2) @ Z(1)) + 0.08888888888888888 * (Z(2) @ Z(0)) + 0.1964285714285714 * (Z(3) @ Z(1)) + 0.053968253968253964 * (Z(3) @ Z(0)) + 0.17579365079365078 * (Z(3) @ Z(2)) + 0.13968253968253969 * (Z(4) @ Z(1)) + 0.10119047619047619 * (Z(4) @ Z(0)) + 0.10515873015873015 * (Z(4) @ Z(2)) + 0.0896825396825397 * (Z(4) @ Z(3)) + 0.14007936507936508 * (Z(5) @ Z(1)) + 0.08333333333333334 * (Z(5) @ Z(0)) + 0.14126984126984127 * (Z(5) @ Z(2)) + 0.15396825396825398 * (Z(5) @ Z(3)) + 0.13452380952380952 * (Z(5) @ Z(4)) + 0.17698412698412697 * (Z(6) @ Z(1)) + 0.0873015873015873 * (Z(6) @ Z(0)) + 0.14087301587301584 * (Z(6) @ Z(2)) + 0.1115079365079365 * (Z(6) @ Z(3)) + 0.15476190476190474 * (Z(6) @ Z(4)) + 0.10515873015873015 * (Z(6) @ Z(5)) + 0.13968253968253969 * (Z(8) @ Z(1)) + 0.10119047619047619 * (Z(8) @ Z(0)) + 0.123015873015873 * (Z(8) @ Z(2)) + 0.10753968253968255 * (Z(8) @ Z(3)) + 0.1353174603174603 * (Z(8) @ Z(4)) + 0.06785714285714287 * (Z(8) @ Z(5)) + 0.1726190476190476 * (Z(8) @ Z(6)) + 0.08849206349206348 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(0)) + 0.08968253968253967 * (Z(9) @ Z(2)) + 0.13968253968253969 * (Z(9) @ Z(3)) + 0.09960317460317461 * (Z(9) @ Z(4)) + 0.13571428571428573 * (Z(9) @ Z(5)) + 0.12142857142857141 * (Z(9) @ Z(6)) + 0.11746031746031746 * (Z(9) @ Z(8)) + 0.13968253968253969 * (Z(11) @ Z(1)) + 0.07222222222222222 * (Z(11) @ Z(0)) + 0.12976190476190474 * (Z(11) @ Z(2)) + 0.14642857142857144 * (Z(11) @ Z(3)) + 0.173015873015873 * (Z(11) @ Z(4)) + 0.19126984126984126 * (Z(11) @ Z(5)) + 0.1615079365079365 * (Z(11) @ Z(6)) + 0.12420634920634921 * (Z(11) @ Z(8)) + 0.1742063492063492 * (Z(11) @ Z(9)) + 0.23412698412698413 * (Z(7) @ Z(1)) + 0.0623015873015873 * (Z(7) @ Z(0)) + 0.21190476190476187 * (Z(7) @ Z(2)) + 0.23253968253968255 * (Z(7) @ Z(3)) + 0.12976190476190474 * (Z(7) @ Z(4)) + 0.1623015873015873 * (Z(7) @ Z(5)) + 0.18095238095238092 * (Z(7) @ Z(6)) + 0.1476190476190476 * (Z(7) @ Z(8)) + 0.12857142857142856 * (Z(7) @ Z(9)) + 0.16865079365079366 * (Z(7) @ Z(11)) + 0.12738095238095237 * (Z(10) @ Z(1)) + 0.09007936507936509 * (Z(10) @ Z(0)) + 0.14404761904761904 * (Z(10) @ Z(2)) + 0.12857142857142856 * (Z(10) @ Z(3)) + 0.10396825396825396 * (Z(10) @ Z(4)) + 0.09007936507936509 * (Z(10) @ Z(5)) + 0.09246031746031746 * (Z(10) @ Z(6)) + 0.08849206349206348 * (Z(10) @ Z(8)) + 0.08849206349206348 * (Z(10) @ Z(9)) + 0.11071428571428571 * (Z(10) @ Z(11)) + 0.11071428571428571 * (Z(10) @ Z(7)) + 0.8333333333333331 * Z(1) + 0.4402777777777778 * Z(0) + 0.7722222222222218 * Z(2) + 0.7680555555555554 * Z(3) + 0.6833333333333332 * Z(4) + 0.7027777777777776 * Z(5) + 0.7527777777777772 * Z(6) + 0.6624999999999996 * Z(8) + 0.6166666666666667 * Z(9) + 0.7958333333333334 * Z(11) + 0.8847222222222224 * Z(7) + 0.5875 * Z(10)",1,12,1,"{\"smallest_eigenvalues\": [-3.02896825396825], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0067460317460313, \"smallest_bitstrings\": [\"100000010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.5754) q[0];\nrz(0.0078) q[0];\nrx(3.1386) q[1];\nrz(0.0078) q[1];\nrx(1.6698) q[2];\nrz(0.0001) q[2];\nrx(3.1396) q[3];\nrz(0.0042) q[3];\nrx(3.1386) q[4];\nrz(0.0033) q[4];\nrx(3.1445) q[5];\nrz(0.0081) q[5];\nrx(2.0214) q[6];\nrz(0.0059) q[6];\nrx(0.6123) q[7];\nrz(0.0004) q[7];\nrx(3.1437) q[8];\nrz(0.0037) q[8];\nrx(3.1386) q[9];\nrz(0.0082) q[9];\nrx(3.1438) q[10];\nrz(0.0063) q[10];\nrx(0.5704) q[11];\nrz(0.0041) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x1) q[1];\nrx(x3) q[2];\nrz(x4) q[2];\nrx(x5) q[3];\nrz(x6) q[3];\nrx(x2) q[4];\nrz(x7) q[4];\nrx(x8) q[5];\nrz(x9) q[5];\nrx(x10) q[6];\nrz(x11) q[6];\nrx(x12) q[7];\nrz(x13) q[7];\nrx(x14) q[8];\nrz(x15) q[8];\nrx(x2) q[9];\nrz(x16) q[9];\nrx(x17) q[10];\nrz(x18) q[10];\nrx(x19) q[11];\nrz(x20) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["4c5a23f8c8a34bc9c0e926b6ce68cf56","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 6, \"target\": 7}]}","{\"states\": [0, 7], \"expectation_value\": -13.941964185781622, \"params\": [-0.0022, -2.0588, 0.0022, 0.0006000000000000001, -0.0022, 1.4033, -0.002, 0.006200000000000001, -0.0019, 2.391, 0.002, 0.0048000000000000004, -0.0018000000000000002, 2.4097, 0.0019, 0.0047, 1.3187, 3.1403000000000003, 0.8923000000000001, 0.0023, -1.2302, 0.0014, 0.9119, 0.0032, -1.1840000000000002, -0.001, 0.5071, 0.0043, 0.0023, -0.0021000000000000003, 0.002, 0.0019, 2.6273, 1.3501, 1.3066], \"bitstrings\": [\"1111111\", \"1111000\"], \"total_optimization_steps\": 490, \"probabilities\": [0.37900905468409596, 0.5156135715397451], \"optimization_time\": 20.70321297645569}","-2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 2.0 * Z(1) + -2.0 * Z(0) + -2.0 * Z(2) + -2.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6)",6,7,1,"{\"smallest_eigenvalues\": [-15.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.5, \"smallest_bitstrings\": [\"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(-0.0022) q[0];\nrz(-2.0588) q[0];\nrx(-0.0022) q[1];\nrz(1.4033) q[1];\nrx(-0.0019) q[2];\nrz(2.391) q[2];\nrx(-0.0018) q[3];\nrz(2.4097) q[3];\nrx(1.3187) q[4];\nrz(3.1403) q[4];\nrx(-1.2302) q[5];\nrz(0.0014) q[5];\nrx(-1.184) q[6];\nrz(-0.001) q[6];\ncrx(1.3501) q[6], q[5];\ncrx(2.6273) q[6], q[4];\ncrx(0.0019) q[6], q[3];\ncrx(0.002) q[6], q[2];\ncrx(-0.0021) q[6], q[1];\ncrx(0.0023) q[6], q[0];\ncrx(1.3066) q[5], q[6];\ncrx(2.6273) q[5], q[4];\ncrx(0.0019) q[5], q[3];\ncrx(0.002) q[5], q[2];\ncrx(-0.0021) q[5], q[1];\ncrx(0.0023) q[5], q[0];\ncrx(1.3066) q[4], q[6];\ncrx(1.3501) q[4], q[5];\ncrx(0.0019) q[4], q[3];\ncrx(0.002) q[4], q[2];\ncrx(-0.0021) q[4], q[1];\ncrx(0.0023) q[4], q[0];\ncrx(1.3066) q[3], q[6];\ncrx(1.3501) q[3], q[5];\ncrx(2.6273) q[3], q[4];\ncrx(0.002) q[3], q[2];\ncrx(-0.0021) q[3], q[1];\ncrx(0.0023) q[3], q[0];\ncrx(1.3066) q[2], q[6];\ncrx(1.3501) q[2], q[5];\ncrx(2.6273) q[2], q[4];\ncrx(0.0019) q[2], q[3];\ncrx(-0.0021) q[2], q[1];\ncrx(0.0023) q[2], q[0];\ncrx(1.3066) q[1], q[6];\ncrx(1.3501) q[1], q[5];\ncrx(2.6273) q[1], q[4];\ncrx(0.0019) q[1], q[3];\ncrx(0.002) q[1], q[2];\ncrx(0.0023) q[1], q[0];\ncrx(1.3066) q[0], q[6];\ncrx(1.3501) q[0], q[5];\ncrx(2.6273) q[0], q[4];\ncrx(0.0019) q[0], q[3];\ncrx(0.002) q[0], q[2];\ncrx(-0.0021) q[0], q[1];\nrx(0.0022) q[0];\nrz(0.0006) q[0];\nrx(-0.002) q[1];\nrz(0.0062) q[1];\nrx(0.002) q[2];\nrz(0.0048) q[2];\nrx(0.0019) q[3];\nrz(0.0047) q[3];\nrx(0.8923) q[4];\nrz(0.0023) q[4];\nrx(0.9119) q[5];\nrz(0.0032) q[5];\nrx(0.5071) q[6];\nrz(0.0043) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x0) q[1];\nrz(x2) q[1];\nrx(x3) q[2];\nrz(x4) q[2];\nrx(x5) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\ncrx(x13) q[6], q[5];\ncrx(x14) q[6], q[4];\ncrx(x15) q[6], q[3];\ncrx(x16) q[6], q[2];\ncrx(x17) q[6], q[1];\ncrx(x18) q[6], q[0];\ncrx(x19) q[5], q[6];\ncrx(x14) q[5], q[4];\ncrx(x15) q[5], q[3];\ncrx(x16) q[5], q[2];\ncrx(x17) q[5], q[1];\ncrx(x18) q[5], q[0];\ncrx(x19) q[4], q[6];\ncrx(x13) q[4], q[5];\ncrx(x15) q[4], q[3];\ncrx(x16) q[4], q[2];\ncrx(x17) q[4], q[1];\ncrx(x18) q[4], q[0];\ncrx(x19) q[3], q[6];\ncrx(x13) q[3], q[5];\ncrx(x14) q[3], q[4];\ncrx(x16) q[3], q[2];\ncrx(x17) q[3], q[1];\ncrx(x18) q[3], q[0];\ncrx(x19) q[2], q[6];\ncrx(x13) q[2], q[5];\ncrx(x14) q[2], q[4];\ncrx(x15) q[2], q[3];\ncrx(x17) q[2], q[1];\ncrx(x18) q[2], q[0];\ncrx(x19) q[1], q[6];\ncrx(x13) q[1], q[5];\ncrx(x14) q[1], q[4];\ncrx(x15) q[1], q[3];\ncrx(x16) q[1], q[2];\ncrx(x18) q[1], q[0];\ncrx(x19) q[0], q[6];\ncrx(x13) q[0], q[5];\ncrx(x14) q[0], q[4];\ncrx(x15) q[0], q[3];\ncrx(x16) q[0], q[2];\ncrx(x17) q[0], q[1];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x16) q[2];\nrz(x24) q[2];\nrx(x15) q[3];\nrz(x25) q[3];\nrx(x26) q[4];\nrz(x18) q[4];\nrx(x27) q[5];\nrz(x28) q[5];\nrx(x29) q[6];\nrz(x30) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["2c89eaac5bcf6376fd12aee452ccfaa3","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 6, \"source\": 0, \"target\": 11}, {\"capacity\": 4, \"source\": 1, \"target\": 2}, {\"capacity\": 6, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 8}, {\"capacity\": 5, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 3, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 10}, {\"capacity\": 6, \"source\": 6, \"target\": 11}, {\"capacity\": 3, \"source\": 7, \"target\": 8}, {\"capacity\": 1, \"source\": 7, \"target\": 9}, {\"capacity\": 3, \"source\": 7, \"target\": 11}, {\"capacity\": 6, \"source\": 8, \"target\": 10}, {\"capacity\": 5, \"source\": 9, \"target\": 5}, {\"capacity\": 1, \"source\": 9, \"target\": 7}, {\"capacity\": 6, \"source\": 10, \"target\": 3}, {\"capacity\": 2, \"source\": 10, \"target\": 11}]}","{\"states\": [2048, 2047], \"expectation_value\": -17.23596321683213, \"params\": [[[-0.0008, 0.008400000000000001], [0.0056, -0.0066], [0.0037, -0.0022], [0.0041, 0.0026000000000000003], [0.007, 0.0025], [0.0004, 0.0025], [0.0055000000000000005, -0.0028], [0.0027, -0.0025], [0.0047, 0.0025], [0.0053, 0.0029000000000000002], [-1.3451, -0.006], [-0.3786, 0.006500000000000001]], [[0.0018000000000000002, -0.5036], [-0.0023, -0.0056], [0.002, -0.0028], [0.0017000000000000001, 0.0024000000000000002], [-0.0027, 0.002], [0.005, 0.0021000000000000003], [-0.0022, -0.0031000000000000003], [0.0025, 0.003], [0.0007, 0.0025], [-0.0016, 0.0035], [-0.0051, 0.3675], [-1.3458, -0.0054]], [[-0.5304, 1.5459], [0.0057, 0.43420000000000003], [0.0031000000000000003, 0.004200000000000001], [0.0009000000000000001, -0.0026000000000000003], [0.002, -0.0026000000000000003], [0.003, -0.0026000000000000003], [0.0016, 0.0027], [0.0027, 0.0025], [0.0024000000000000002, -0.0025], [0.0018000000000000002, -0.0029000000000000002], [0.5850000000000001, 0.0006000000000000001], [0.0074, 0.0088]]], \"bitstrings\": [\"011111111111\", \"100000000000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.4794975140834743, 0.48781228161660617], \"optimization_time\": 20.02859354019165}","-0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(4)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(10) @ Z(5)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(3)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(10)) + -0.5 * (Z(2) @ Z(8)) + -0.75 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(10)) + -1.25 * (Z(11) @ Z(7)) + -0.5 * (Z(11) @ Z(9)) + -0.5 * Z(4) + -0.25 * Z(0) + -2.75 * Z(7) + -1.5 * Z(3) + 2.75 * Z(1) + -2.75 * Z(5) + 1.0 * Z(6) + 0.5 * Z(10) + 0.75 * Z(8) + 0.0 * Z(2) + 1.5 * Z(9) + 1.25 * Z(11)",15,12,3,"{\"smallest_eigenvalues\": [-17.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.75, \"smallest_bitstrings\": [\"100000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.0008) q[0];\nry(0.0056) q[1];\nry(0.0037) q[2];\nry(0.0041) q[3];\nry(0.007) q[4];\nry(0.0004) q[5];\nry(0.0055) q[6];\nry(0.0027) q[7];\nry(0.0047) q[8];\nry(0.0053) q[9];\nry(-1.3451) q[10];\nry(-0.3786) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0084) q[0];\nry(-0.0066) q[1];\nry(-0.0022) q[2];\nry(0.0026) q[3];\nry(0.0025) q[4];\nry(0.0025) q[5];\nry(-0.0028) q[6];\nry(-0.0025) q[7];\nry(0.0025) q[8];\nry(0.0029) q[9];\nry(-0.006) q[10];\nry(0.0065) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(0.0018) q[0];\nry(-0.0023) q[1];\nry(0.002) q[2];\nry(0.0017) q[3];\nry(-0.0027) q[4];\nry(0.005) q[5];\nry(-0.0022) q[6];\nry(0.0025) q[7];\nry(0.0007) q[8];\nry(-0.0016) q[9];\nry(-0.0051) q[10];\nry(-1.3458) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.5036) q[0];\nry(-0.0056) q[1];\nry(-0.0028) q[2];\nry(0.0024) q[3];\nry(0.002) q[4];\nry(0.0021) q[5];\nry(-0.0031) q[6];\nry(0.003) q[7];\nry(0.0025) q[8];\nry(0.0035) q[9];\nry(0.3675) q[10];\nry(-0.0054) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.5304) q[0];\nry(0.0057) q[1];\nry(0.0031) q[2];\nry(0.0009) q[3];\nry(0.002) q[4];\nry(0.003) q[5];\nry(0.0016) q[6];\nry(0.0027) q[7];\nry(0.0024) q[8];\nry(0.0018) q[9];\nry(0.585) q[10];\nry(0.0074) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.5459) q[0];\nry(0.4342) q[1];\nry(0.0042) q[2];\nry(-0.0026) q[3];\nry(-0.0026) q[4];\nry(-0.0026) q[5];\nry(0.0027) q[6];\nry(0.0025) q[7];\nry(-0.0025) q[8];\nry(-0.0029) q[9];\nry(0.0006) q[10];\nry(0.0088) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x12) q[0];\nry(x13) q[1];\nry(x14) q[2];\nry(x15) q[3];\nry(x16) q[4];\nry(x16) q[5];\nry(x17) q[6];\nry(x18) q[7];\nry(x16) q[8];\nry(x19) q[9];\nry(x20) q[10];\nry(x21) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x14) q[6];\nry(x16) q[7];\nry(x28) q[8];\nry(x29) q[9];\nry(x30) q[10];\nry(x31) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x32) q[0];\nry(x33) q[1];\nry(x17) q[2];\nry(x34) q[3];\nry(x24) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x16) q[8];\nry(x38) q[9];\nry(x39) q[10];\nry(x40) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x41) q[0];\nry(x42) q[1];\nry(x43) q[2];\nry(x44) q[3];\nry(x24) q[4];\nry(x37) q[5];\nry(x45) q[6];\nry(x7) q[7];\nry(x34) q[8];\nry(x22) q[9];\nry(x46) q[10];\nry(x47) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x48) q[0];\nry(x49) q[1];\nry(x50) q[2];\nry(x51) q[3];\nry(x51) q[4];\nry(x51) q[5];\nry(x7) q[6];\nry(x16) q[7];\nry(x18) q[8];\nry(x52) q[9];\nry(x53) q[10];\nry(x54) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["867451604821958348","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4], \"hyperedges\": [[0, 3, 4], [0, 2, 4], [1, 2, 3, 4], [0, 1, 2, 3]]}","{\"states\": [7, 22], \"expectation_value\": -0.6165819878514237, \"params\": [[0.4234], [-0.42210000000000003]], \"bitstrings\": [\"11000\", \"01001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.060650569392663015, 0.06065056939266302], \"optimization_time\": 1.2180964946746826}","0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.41666666666666663 * Z(3) + 0.4583333333333333 * Z(0) + 0.4583333333333333 * Z(4) + 0.41666666666666663 * Z(2) + 0.25 * Z(1)",1,5,1,"{\"smallest_eigenvalues\": [-1.0833333333333335], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.083333333333333, \"smallest_bitstrings\": [\"01001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[3], q[0];\nrz(0.2117) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.2117) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.2823) q[4];\ncx q[0], q[4];\ncx q[3], q[2];\nrz(0.1411) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.2117) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(0.2117) q[2];\ncx q[4], q[2];\ncx q[3], q[1];\nrz(0.1411) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.0706) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(0.0706) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(0.1411) q[1];\ncx q[2], q[1];\nrz(0.3528) q[3];\nrz(0.3881) q[0];\nrz(0.3881) q[4];\nrz(0.3528) q[2];\nrz(0.2117) q[1];\nh q[0];\nrz(-0.8442) q[0];\nh q[0];\nh q[1];\nrz(-0.8442) q[1];\nh q[1];\nh q[2];\nrz(-0.8442) q[2];\nh q[2];\nh q[3];\nrz(-0.8442) q[3];\nh q[3];\nh q[4];\nrz(-0.8442) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[3], q[2];\nrz(x2) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[3], q[1];\nrz(x2) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x3) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(x3) q[1];\ncx q[4], q[1];\ncx q[2], q[1];\nrz(x2) q[1];\ncx q[2], q[1];\nrz(x4) q[3];\nrz(x5) q[0];\nrz(x5) q[4];\nrz(x4) q[2];\nrz(x0) q[1];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["f619afa25c1921f996d128a1dfefef72","community_detection","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 1, \"source\": 0, \"target\": 2}, {\"weight\": 1, \"source\": 0, \"target\": 5}, {\"weight\": 1, \"source\": 3, \"target\": 4}, {\"weight\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [2773, 2709], \"expectation_value\": -0.12880403846072958, \"params\": [0.39530000000000004, 0.0047, 0.3975, 0.0032, 0.3795, -0.013300000000000001, 0.3739, -0.020900000000000002, 0.3972, 0.0004, 0.3971, 0.0008, 0.3201, 0.0267, 0.31170000000000003, 0.0158, 0.40080000000000005, 0.0044, 0.39280000000000004, 0.0022, 0.3956, -0.0009000000000000001, 0.3936, -0.0029000000000000002, 0.399, 0.0053, 0.38930000000000003, 0.0028, 0.39640000000000003, -0.0018000000000000002, 0.3986, -0.0024000000000000002, 0.3991, 0.0029000000000000002, 0.39440000000000003, 0.0017000000000000001, 0.396, 0.0014, 0.3967, 0.001, 0.36960000000000004, -0.0194, 0.3629, -0.0281, 0.3922, 0.0037, 0.3915, 0.0076, 0.3985, 0.0026000000000000003, 0.4022, 0.007200000000000001, 0.38280000000000003, -0.0279, 0.37320000000000003, 0.0055000000000000005, 0.4037, 0.0018000000000000002, 0.39840000000000003, 0.0088, 0.3138, -0.0131, 0.307, 0.0032, 0.39990000000000003, 0.003, 0.39640000000000003, 0.0034000000000000002, 0.399, -0.013000000000000001, 0.4002, 0.0038, 0.3987, 0.0043, 0.3957, 0.0024000000000000002, 0.39390000000000003, -0.0028, 0.40140000000000003, 0.0029000000000000002, 0.39390000000000003, 0.0022, 0.39690000000000003, 0.008400000000000001, 0.3931, 0.0017000000000000001, 0.4005, 0.0082, 0.3628, -0.0385, 0.36210000000000003, 0.0008, 0.3957, 0.008700000000000001, 0.39780000000000004, 0.0025, -0.06760000000000001, -0.2018, -0.0476, -0.2404, -0.1423, -0.1963, -0.1844, -0.2019, -0.2127, -0.2182, -0.226, -0.1971, 0.09620000000000001, -0.0048000000000000004, 0.1975, -0.0128, 0.030500000000000003, -0.0035, -0.0064, 0.0426, -0.011000000000000001, 0.0405, -0.01, 0.1213], \"bitstrings\": [\"010100101010\", \"010101101010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.002500743169536257, 0.0025977130278622145], \"optimization_time\": 200.11188006401062}","0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0017499999999999998 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0017499999999999998 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00075 * (Z(6) @ Z(0)) + 0.00025000000000000006 * (Z(6) @ Z(2)) + 0.00025000000000000006 * (Z(6) @ Z(4)) + 0.00075 * (Z(7) @ Z(1)) + 0.00025000000000000006 * (Z(7) @ Z(3)) + 0.00025000000000000006 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.0015 * (Z(8) @ Z(0)) + 0.0005000000000000001 * (Z(8) @ Z(2)) + 0.0005000000000000001 * (Z(8) @ Z(4)) + -0.0020000000000000005 * (Z(8) @ Z(6)) + 0.0015 * (Z(9) @ Z(1)) + 0.0005000000000000001 * (Z(9) @ Z(3)) + 0.0005000000000000001 * (Z(9) @ Z(5)) + -0.0020000000000000005 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + -0.0010000000000000002 * (Z(10) @ Z(0)) + 0.0005000000000000001 * (Z(10) @ Z(2)) + 0.0005000000000000001 * (Z(10) @ Z(4)) + 0.0005000000000000001 * (Z(10) @ Z(6)) + -0.0015 * (Z(10) @ Z(8)) + -0.0010000000000000002 * (Z(11) @ Z(1)) + 0.0005000000000000001 * (Z(11) @ Z(3)) + 0.0005000000000000001 * (Z(11) @ Z(5)) + 0.0005000000000000001 * (Z(11) @ Z(7)) + -0.0015 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + -0.002250000000000002 * Z(1) + -0.002250000000000002 * Z(0) + -0.0002500000000000002 * Z(2) + -0.0002500000000000002 * Z(3) + -0.0002500000000000002 * Z(4) + -0.0002500000000000002 * Z(5) + -0.000250000000000028 * Z(6) + -0.000250000000000028 * Z(7) + -0.0010000000000000009 * Z(8) + -0.0010000000000000009 * Z(9) + -0.0010000000000000009 * Z(10) + -0.0010000000000000009 * Z(11)",6,12,2,"{\"smallest_eigenvalues\": [-1.52, -1.52], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.5159999999999996, \"smallest_bitstrings\": [\"010101101010\", \"101010010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.3953) q[0];\nrz(0.0047) q[0];\nrx(0.3795) q[1];\nrz(-0.0133) q[1];\nrx(0.3972) q[2];\nrz(0.0004) q[2];\nrx(0.3201) q[3];\nrz(0.0267) q[3];\nrx(0.4008) q[4];\nrz(0.0044) q[4];\nrx(0.3956) q[5];\nrz(-0.0009) q[5];\nrx(0.399) q[6];\nrz(0.0053) q[6];\nrx(0.3964) q[7];\nrz(-0.0018) q[7];\nrx(0.3991) q[8];\nrz(0.0029) q[8];\nrx(0.396) q[9];\nrz(0.0014) q[9];\nrx(0.3696) q[10];\nrz(-0.0194) q[10];\nrx(0.3922) q[11];\nrz(0.0037) q[11];\ncrx(-0.226) q[11], q[10];\ncrx(-0.2182) q[11], q[9];\ncrx(-0.2127) q[11], q[8];\ncrx(-0.2019) q[11], q[7];\ncrx(-0.1844) q[11], q[6];\ncrx(-0.1963) q[11], q[5];\ncrx(-0.1423) q[11], q[4];\ncrx(-0.2404) q[11], q[3];\ncrx(-0.0476) q[11], q[2];\ncrx(-0.2018) q[11], q[1];\ncrx(-0.0676) q[11], q[0];\ncrx(-0.1971) q[10], q[11];\ncrx(-0.2182) q[10], q[9];\ncrx(-0.2127) q[10], q[8];\ncrx(-0.2019) q[10], q[7];\ncrx(-0.1844) q[10], q[6];\ncrx(-0.1963) q[10], q[5];\ncrx(-0.1423) q[10], q[4];\ncrx(-0.2404) q[10], q[3];\ncrx(-0.0476) q[10], q[2];\ncrx(-0.2018) q[10], q[1];\ncrx(-0.0676) q[10], q[0];\ncrx(-0.1971) q[9], q[11];\ncrx(-0.226) q[9], q[10];\ncrx(-0.2127) q[9], q[8];\ncrx(-0.2019) q[9], q[7];\ncrx(-0.1844) q[9], q[6];\ncrx(-0.1963) q[9], q[5];\ncrx(-0.1423) q[9], q[4];\ncrx(-0.2404) q[9], q[3];\ncrx(-0.0476) q[9], q[2];\ncrx(-0.2018) q[9], q[1];\ncrx(-0.0676) q[9], q[0];\ncrx(-0.1971) q[8], q[11];\ncrx(-0.226) q[8], q[10];\ncrx(-0.2182) q[8], q[9];\ncrx(-0.2019) q[8], q[7];\ncrx(-0.1844) q[8], q[6];\ncrx(-0.1963) q[8], q[5];\ncrx(-0.1423) q[8], q[4];\ncrx(-0.2404) q[8], q[3];\ncrx(-0.0476) q[8], q[2];\ncrx(-0.2018) q[8], q[1];\ncrx(-0.0676) q[8], q[0];\ncrx(-0.1971) q[7], q[11];\ncrx(-0.226) q[7], q[10];\ncrx(-0.2182) q[7], q[9];\ncrx(-0.2127) q[7], q[8];\ncrx(-0.1844) q[7], q[6];\ncrx(-0.1963) q[7], q[5];\ncrx(-0.1423) q[7], q[4];\ncrx(-0.2404) q[7], q[3];\ncrx(-0.0476) q[7], q[2];\ncrx(-0.2018) q[7], q[1];\ncrx(-0.0676) q[7], q[0];\ncrx(-0.1971) q[6], q[11];\ncrx(-0.226) q[6], q[10];\ncrx(-0.2182) q[6], q[9];\ncrx(-0.2127) q[6], q[8];\ncrx(-0.2019) q[6], q[7];\ncrx(-0.1963) q[6], q[5];\ncrx(-0.1423) q[6], q[4];\ncrx(-0.2404) q[6], q[3];\ncrx(-0.0476) q[6], q[2];\ncrx(-0.2018) q[6], q[1];\ncrx(-0.0676) q[6], q[0];\ncrx(-0.1971) q[5], q[11];\ncrx(-0.226) q[5], q[10];\ncrx(-0.2182) q[5], q[9];\ncrx(-0.2127) q[5], q[8];\ncrx(-0.2019) q[5], q[7];\ncrx(-0.1844) q[5], q[6];\ncrx(-0.1423) q[5], q[4];\ncrx(-0.2404) q[5], q[3];\ncrx(-0.0476) q[5], q[2];\ncrx(-0.2018) q[5], q[1];\ncrx(-0.0676) q[5], q[0];\ncrx(-0.1971) q[4], q[11];\ncrx(-0.226) q[4], q[10];\ncrx(-0.2182) q[4], q[9];\ncrx(-0.2127) q[4], q[8];\ncrx(-0.2019) q[4], q[7];\ncrx(-0.1844) q[4], q[6];\ncrx(-0.1963) q[4], q[5];\ncrx(-0.2404) q[4], q[3];\ncrx(-0.0476) q[4], q[2];\ncrx(-0.2018) q[4], q[1];\ncrx(-0.0676) q[4], q[0];\ncrx(-0.1971) q[3], q[11];\ncrx(-0.226) q[3], q[10];\ncrx(-0.2182) q[3], q[9];\ncrx(-0.2127) q[3], q[8];\ncrx(-0.2019) q[3], q[7];\ncrx(-0.1844) q[3], q[6];\ncrx(-0.1963) q[3], q[5];\ncrx(-0.1423) q[3], q[4];\ncrx(-0.0476) q[3], q[2];\ncrx(-0.2018) q[3], q[1];\ncrx(-0.0676) q[3], q[0];\ncrx(-0.1971) q[2], q[11];\ncrx(-0.226) q[2], q[10];\ncrx(-0.2182) q[2], q[9];\ncrx(-0.2127) q[2], q[8];\ncrx(-0.2019) q[2], q[7];\ncrx(-0.1844) q[2], q[6];\ncrx(-0.1963) q[2], q[5];\ncrx(-0.1423) q[2], q[4];\ncrx(-0.2404) q[2], q[3];\ncrx(-0.2018) q[2], q[1];\ncrx(-0.0676) q[2], q[0];\ncrx(-0.1971) q[1], q[11];\ncrx(-0.226) q[1], q[10];\ncrx(-0.2182) q[1], q[9];\ncrx(-0.2127) q[1], q[8];\ncrx(-0.2019) q[1], q[7];\ncrx(-0.1844) q[1], q[6];\ncrx(-0.1963) q[1], q[5];\ncrx(-0.1423) q[1], q[4];\ncrx(-0.2404) q[1], q[3];\ncrx(-0.0476) q[1], q[2];\ncrx(-0.0676) q[1], q[0];\ncrx(-0.1971) q[0], q[11];\ncrx(-0.226) q[0], q[10];\ncrx(-0.2182) q[0], q[9];\ncrx(-0.2127) q[0], q[8];\ncrx(-0.2019) q[0], q[7];\ncrx(-0.1844) q[0], q[6];\ncrx(-0.1963) q[0], q[5];\ncrx(-0.1423) q[0], q[4];\ncrx(-0.2404) q[0], q[3];\ncrx(-0.0476) q[0], q[2];\ncrx(-0.2018) q[0], q[1];\nrx(0.3975) q[0];\nrz(0.0032) q[0];\nrx(0.3739) q[1];\nrz(-0.0209) q[1];\nrx(0.3971) q[2];\nrz(0.0008) q[2];\nrx(0.3117) q[3];\nrz(0.0158) q[3];\nrx(0.3928) q[4];\nrz(0.0022) q[4];\nrx(0.3936) q[5];\nrz(-0.0029) q[5];\nrx(0.3893) q[6];\nrz(0.0028) q[6];\nrx(0.3986) q[7];\nrz(-0.0024) q[7];\nrx(0.3944) q[8];\nrz(0.0017) q[8];\nrx(0.3967) q[9];\nrz(0.001) q[9];\nrx(0.3629) q[10];\nrz(-0.0281) q[10];\nrx(0.3915) q[11];\nrz(0.0076) q[11];\nrx(0.3985) q[0];\nrz(0.0026) q[0];\nrx(0.3828) q[1];\nrz(-0.0279) q[1];\nrx(0.4037) q[2];\nrz(0.0018) q[2];\nrx(0.3138) q[3];\nrz(-0.0131) q[3];\nrx(0.3999) q[4];\nrz(0.003) q[4];\nrx(0.399) q[5];\nrz(-0.013) q[5];\nrx(0.3987) q[6];\nrz(0.0043) q[6];\nrx(0.3939) q[7];\nrz(-0.0028) q[7];\nrx(0.3939) q[8];\nrz(0.0022) q[8];\nrx(0.3931) q[9];\nrz(0.0017) q[9];\nrx(0.3628) q[10];\nrz(-0.0385) q[10];\nrx(0.3957) q[11];\nrz(0.0087) q[11];\ncrx(-0.01) q[11], q[10];\ncrx(0.0405) q[11], q[9];\ncrx(-0.011) q[11], q[8];\ncrx(0.0426) q[11], q[7];\ncrx(-0.0064) q[11], q[6];\ncrx(-0.0035) q[11], q[5];\ncrx(0.0305) q[11], q[4];\ncrx(-0.0128) q[11], q[3];\ncrx(0.1975) q[11], q[2];\ncrx(-0.0048) q[11], q[1];\ncrx(0.0962) q[11], q[0];\ncrx(0.1213) q[10], q[11];\ncrx(0.0405) q[10], q[9];\ncrx(-0.011) q[10], q[8];\ncrx(0.0426) q[10], q[7];\ncrx(-0.0064) q[10], q[6];\ncrx(-0.0035) q[10], q[5];\ncrx(0.0305) q[10], q[4];\ncrx(-0.0128) q[10], q[3];\ncrx(0.1975) q[10], q[2];\ncrx(-0.0048) q[10], q[1];\ncrx(0.0962) q[10], q[0];\ncrx(0.1213) q[9], q[11];\ncrx(-0.01) q[9], q[10];\ncrx(-0.011) q[9], q[8];\ncrx(0.0426) q[9], q[7];\ncrx(-0.0064) q[9], q[6];\ncrx(-0.0035) q[9], q[5];\ncrx(0.0305) q[9], q[4];\ncrx(-0.0128) q[9], q[3];\ncrx(0.1975) q[9], q[2];\ncrx(-0.0048) q[9], q[1];\ncrx(0.0962) q[9], q[0];\ncrx(0.1213) q[8], q[11];\ncrx(-0.01) q[8], q[10];\ncrx(0.0405) q[8], q[9];\ncrx(0.0426) q[8], q[7];\ncrx(-0.0064) q[8], q[6];\ncrx(-0.0035) q[8], q[5];\ncrx(0.0305) q[8], q[4];\ncrx(-0.0128) q[8], q[3];\ncrx(0.1975) q[8], q[2];\ncrx(-0.0048) q[8], q[1];\ncrx(0.0962) q[8], q[0];\ncrx(0.1213) q[7], q[11];\ncrx(-0.01) q[7], q[10];\ncrx(0.0405) q[7], q[9];\ncrx(-0.011) q[7], q[8];\ncrx(-0.0064) q[7], q[6];\ncrx(-0.0035) q[7], q[5];\ncrx(0.0305) q[7], q[4];\ncrx(-0.0128) q[7], q[3];\ncrx(0.1975) q[7], q[2];\ncrx(-0.0048) q[7], q[1];\ncrx(0.0962) q[7], q[0];\ncrx(0.1213) q[6], q[11];\ncrx(-0.01) q[6], q[10];\ncrx(0.0405) q[6], q[9];\ncrx(-0.011) q[6], q[8];\ncrx(0.0426) q[6], q[7];\ncrx(-0.0035) q[6], q[5];\ncrx(0.0305) q[6], q[4];\ncrx(-0.0128) q[6], q[3];\ncrx(0.1975) q[6], q[2];\ncrx(-0.0048) q[6], q[1];\ncrx(0.0962) q[6], q[0];\ncrx(0.1213) q[5], q[11];\ncrx(-0.01) q[5], q[10];\ncrx(0.0405) q[5], q[9];\ncrx(-0.011) q[5], q[8];\ncrx(0.0426) q[5], q[7];\ncrx(-0.0064) q[5], q[6];\ncrx(0.0305) q[5], q[4];\ncrx(-0.0128) q[5], q[3];\ncrx(0.1975) q[5], q[2];\ncrx(-0.0048) q[5], q[1];\ncrx(0.0962) q[5], q[0];\ncrx(0.1213) q[4], q[11];\ncrx(-0.01) q[4], q[10];\ncrx(0.0405) q[4], q[9];\ncrx(-0.011) q[4], q[8];\ncrx(0.0426) q[4], q[7];\ncrx(-0.0064) q[4], q[6];\ncrx(-0.0035) q[4], q[5];\ncrx(-0.0128) q[4], q[3];\ncrx(0.1975) q[4], q[2];\ncrx(-0.0048) q[4], q[1];\ncrx(0.0962) q[4], q[0];\ncrx(0.1213) q[3], q[11];\ncrx(-0.01) q[3], q[10];\ncrx(0.0405) q[3], q[9];\ncrx(-0.011) q[3], q[8];\ncrx(0.0426) q[3], q[7];\ncrx(-0.0064) q[3], q[6];\ncrx(-0.0035) q[3], q[5];\ncrx(0.0305) q[3], q[4];\ncrx(0.1975) q[3], q[2];\ncrx(-0.0048) q[3], q[1];\ncrx(0.0962) q[3], q[0];\ncrx(0.1213) q[2], q[11];\ncrx(-0.01) q[2], q[10];\ncrx(0.0405) q[2], q[9];\ncrx(-0.011) q[2], q[8];\ncrx(0.0426) q[2], q[7];\ncrx(-0.0064) q[2], q[6];\ncrx(-0.0035) q[2], q[5];\ncrx(0.0305) q[2], q[4];\ncrx(-0.0128) q[2], q[3];\ncrx(-0.0048) q[2], q[1];\ncrx(0.0962) q[2], q[0];\ncrx(0.1213) q[1], q[11];\ncrx(-0.01) q[1], q[10];\ncrx(0.0405) q[1], q[9];\ncrx(-0.011) q[1], q[8];\ncrx(0.0426) q[1], q[7];\ncrx(-0.0064) q[1], q[6];\ncrx(-0.0035) q[1], q[5];\ncrx(0.0305) q[1], q[4];\ncrx(-0.0128) q[1], q[3];\ncrx(0.1975) q[1], q[2];\ncrx(0.0962) q[1], q[0];\ncrx(0.1213) q[0], q[11];\ncrx(-0.01) q[0], q[10];\ncrx(0.0405) q[0], q[9];\ncrx(-0.011) q[0], q[8];\ncrx(0.0426) q[0], q[7];\ncrx(-0.0064) q[0], q[6];\ncrx(-0.0035) q[0], q[5];\ncrx(0.0305) q[0], q[4];\ncrx(-0.0128) q[0], q[3];\ncrx(0.1975) q[0], q[2];\ncrx(-0.0048) q[0], q[1];\nrx(0.4022) q[0];\nrz(0.0072) q[0];\nrx(0.3732) q[1];\nrz(0.0055) q[1];\nrx(0.3984) q[2];\nrz(0.0088) q[2];\nrx(0.307) q[3];\nrz(0.0032) q[3];\nrx(0.3964) q[4];\nrz(0.0034) q[4];\nrx(0.4002) q[5];\nrz(0.0038) q[5];\nrx(0.3957) q[6];\nrz(0.0024) q[6];\nrx(0.4014) q[7];\nrz(0.0029) q[7];\nrx(0.3969) q[8];\nrz(0.0084) q[8];\nrx(0.4005) q[9];\nrz(0.0082) q[9];\nrx(0.3621) q[10];\nrz(0.0008) q[10];\nrx(0.3978) q[11];\nrz(0.0025) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrx(x24) q[11], q[10];\ncrx(x25) q[11], q[9];\ncrx(x26) q[11], q[8];\ncrx(x27) q[11], q[7];\ncrx(x28) q[11], q[6];\ncrx(x29) q[11], q[5];\ncrx(x30) q[11], q[4];\ncrx(x31) q[11], q[3];\ncrx(x32) q[11], q[2];\ncrx(x33) q[11], q[1];\ncrx(x34) q[11], q[0];\ncrx(x35) q[10], q[11];\ncrx(x25) q[10], q[9];\ncrx(x26) q[10], q[8];\ncrx(x27) q[10], q[7];\ncrx(x28) q[10], q[6];\ncrx(x29) q[10], q[5];\ncrx(x30) q[10], q[4];\ncrx(x31) q[10], q[3];\ncrx(x32) q[10], q[2];\ncrx(x33) q[10], q[1];\ncrx(x34) q[10], q[0];\ncrx(x35) q[9], q[11];\ncrx(x24) q[9], q[10];\ncrx(x26) q[9], q[8];\ncrx(x27) q[9], q[7];\ncrx(x28) q[9], q[6];\ncrx(x29) q[9], q[5];\ncrx(x30) q[9], q[4];\ncrx(x31) q[9], q[3];\ncrx(x32) q[9], q[2];\ncrx(x33) q[9], q[1];\ncrx(x34) q[9], q[0];\ncrx(x35) q[8], q[11];\ncrx(x24) q[8], q[10];\ncrx(x25) q[8], q[9];\ncrx(x27) q[8], q[7];\ncrx(x28) q[8], q[6];\ncrx(x29) q[8], q[5];\ncrx(x30) q[8], q[4];\ncrx(x31) q[8], q[3];\ncrx(x32) q[8], q[2];\ncrx(x33) q[8], q[1];\ncrx(x34) q[8], q[0];\ncrx(x35) q[7], q[11];\ncrx(x24) q[7], q[10];\ncrx(x25) q[7], q[9];\ncrx(x26) q[7], q[8];\ncrx(x28) q[7], q[6];\ncrx(x29) q[7], q[5];\ncrx(x30) q[7], q[4];\ncrx(x31) q[7], q[3];\ncrx(x32) q[7], q[2];\ncrx(x33) q[7], q[1];\ncrx(x34) q[7], q[0];\ncrx(x35) q[6], q[11];\ncrx(x24) q[6], q[10];\ncrx(x25) q[6], q[9];\ncrx(x26) q[6], q[8];\ncrx(x27) q[6], q[7];\ncrx(x29) q[6], q[5];\ncrx(x30) q[6], q[4];\ncrx(x31) q[6], q[3];\ncrx(x32) q[6], q[2];\ncrx(x33) q[6], q[1];\ncrx(x34) q[6], q[0];\ncrx(x35) q[5], q[11];\ncrx(x24) q[5], q[10];\ncrx(x25) q[5], q[9];\ncrx(x26) q[5], q[8];\ncrx(x27) q[5], q[7];\ncrx(x28) q[5], q[6];\ncrx(x30) q[5], q[4];\ncrx(x31) q[5], q[3];\ncrx(x32) q[5], q[2];\ncrx(x33) q[5], q[1];\ncrx(x34) q[5], q[0];\ncrx(x35) q[4], q[11];\ncrx(x24) q[4], q[10];\ncrx(x25) q[4], q[9];\ncrx(x26) q[4], q[8];\ncrx(x27) q[4], q[7];\ncrx(x28) q[4], q[6];\ncrx(x29) q[4], q[5];\ncrx(x31) q[4], q[3];\ncrx(x32) q[4], q[2];\ncrx(x33) q[4], q[1];\ncrx(x34) q[4], q[0];\ncrx(x35) q[3], q[11];\ncrx(x24) q[3], q[10];\ncrx(x25) q[3], q[9];\ncrx(x26) q[3], q[8];\ncrx(x27) q[3], q[7];\ncrx(x28) q[3], q[6];\ncrx(x29) q[3], q[5];\ncrx(x30) q[3], q[4];\ncrx(x32) q[3], q[2];\ncrx(x33) q[3], q[1];\ncrx(x34) q[3], q[0];\ncrx(x35) q[2], q[11];\ncrx(x24) q[2], q[10];\ncrx(x25) q[2], q[9];\ncrx(x26) q[2], q[8];\ncrx(x27) q[2], q[7];\ncrx(x28) q[2], q[6];\ncrx(x29) q[2], q[5];\ncrx(x30) q[2], q[4];\ncrx(x31) q[2], q[3];\ncrx(x33) q[2], q[1];\ncrx(x34) q[2], q[0];\ncrx(x35) q[1], q[11];\ncrx(x24) q[1], q[10];\ncrx(x25) q[1], q[9];\ncrx(x26) q[1], q[8];\ncrx(x27) q[1], q[7];\ncrx(x28) q[1], q[6];\ncrx(x29) q[1], q[5];\ncrx(x30) q[1], q[4];\ncrx(x31) q[1], q[3];\ncrx(x32) q[1], q[2];\ncrx(x34) q[1], q[0];\ncrx(x35) q[0], q[11];\ncrx(x24) q[0], q[10];\ncrx(x25) q[0], q[9];\ncrx(x26) q[0], q[8];\ncrx(x27) q[0], q[7];\ncrx(x28) q[0], q[6];\ncrx(x29) q[0], q[5];\ncrx(x30) q[0], q[4];\ncrx(x31) q[0], q[3];\ncrx(x32) q[0], q[2];\ncrx(x33) q[0], q[1];\nrx(x36) q[0];\nrz(x37) q[0];\nrx(x38) q[1];\nrz(x39) q[1];\nrx(x40) q[2];\nrz(x41) q[2];\nrx(x42) q[3];\nrz(x43) q[3];\nrx(x44) q[4];\nrz(x45) q[4];\nrx(x46) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\nrx(x50) q[7];\nrz(x51) q[7];\nrx(x52) q[8];\nrz(x53) q[8];\nrx(x54) q[9];\nrz(x55) q[9];\nrx(x56) q[10];\nrz(x57) q[10];\nrx(x58) q[11];\nrz(x59) q[11];\nrx(x60) q[0];\nrz(x61) q[0];\nrx(x62) q[1];\nrz(x63) q[1];\nrx(x64) q[2];\nrz(x65) q[2];\nrx(x66) q[3];\nrz(x67) q[3];\nrx(x68) q[4];\nrz(x69) q[4];\nrx(x12) q[5];\nrz(x70) q[5];\nrx(x71) q[6];\nrz(x72) q[6];\nrx(x73) q[7];\nrz(x74) q[7];\nrx(x73) q[8];\nrz(x45) q[8];\nrx(x75) q[9];\nrz(x53) q[9];\nrx(x76) q[10];\nrz(x77) q[10];\nrx(x78) q[11];\nrz(x79) q[11];\ncrx(x80) q[11], q[10];\ncrx(x81) q[11], q[9];\ncrx(x82) q[11], q[8];\ncrx(x83) q[11], q[7];\ncrx(x84) q[11], q[6];\ncrx(x85) q[11], q[5];\ncrx(x86) q[11], q[4];\ncrx(x87) q[11], q[3];\ncrx(x88) q[11], q[2];\ncrx(x89) q[11], q[1];\ncrx(x90) q[11], q[0];\ncrx(x91) q[10], q[11];\ncrx(x81) q[10], q[9];\ncrx(x82) q[10], q[8];\ncrx(x83) q[10], q[7];\ncrx(x84) q[10], q[6];\ncrx(x85) q[10], q[5];\ncrx(x86) q[10], q[4];\ncrx(x87) q[10], q[3];\ncrx(x88) q[10], q[2];\ncrx(x89) q[10], q[1];\ncrx(x90) q[10], q[0];\ncrx(x91) q[9], q[11];\ncrx(x80) q[9], q[10];\ncrx(x82) q[9], q[8];\ncrx(x83) q[9], q[7];\ncrx(x84) q[9], q[6];\ncrx(x85) q[9], q[5];\ncrx(x86) q[9], q[4];\ncrx(x87) q[9], q[3];\ncrx(x88) q[9], q[2];\ncrx(x89) q[9], q[1];\ncrx(x90) q[9], q[0];\ncrx(x91) q[8], q[11];\ncrx(x80) q[8], q[10];\ncrx(x81) q[8], q[9];\ncrx(x83) q[8], q[7];\ncrx(x84) q[8], q[6];\ncrx(x85) q[8], q[5];\ncrx(x86) q[8], q[4];\ncrx(x87) q[8], q[3];\ncrx(x88) q[8], q[2];\ncrx(x89) q[8], q[1];\ncrx(x90) q[8], q[0];\ncrx(x91) q[7], q[11];\ncrx(x80) q[7], q[10];\ncrx(x81) q[7], q[9];\ncrx(x82) q[7], q[8];\ncrx(x84) q[7], q[6];\ncrx(x85) q[7], q[5];\ncrx(x86) q[7], q[4];\ncrx(x87) q[7], q[3];\ncrx(x88) q[7], q[2];\ncrx(x89) q[7], q[1];\ncrx(x90) q[7], q[0];\ncrx(x91) q[6], q[11];\ncrx(x80) q[6], q[10];\ncrx(x81) q[6], q[9];\ncrx(x82) q[6], q[8];\ncrx(x83) q[6], q[7];\ncrx(x85) q[6], q[5];\ncrx(x86) q[6], q[4];\ncrx(x87) q[6], q[3];\ncrx(x88) q[6], q[2];\ncrx(x89) q[6], q[1];\ncrx(x90) q[6], q[0];\ncrx(x91) q[5], q[11];\ncrx(x80) q[5], q[10];\ncrx(x81) q[5], q[9];\ncrx(x82) q[5], q[8];\ncrx(x83) q[5], q[7];\ncrx(x84) q[5], q[6];\ncrx(x86) q[5], q[4];\ncrx(x87) q[5], q[3];\ncrx(x88) q[5], q[2];\ncrx(x89) q[5], q[1];\ncrx(x90) q[5], q[0];\ncrx(x91) q[4], q[11];\ncrx(x80) q[4], q[10];\ncrx(x81) q[4], q[9];\ncrx(x82) q[4], q[8];\ncrx(x83) q[4], q[7];\ncrx(x84) q[4], q[6];\ncrx(x85) q[4], q[5];\ncrx(x87) q[4], q[3];\ncrx(x88) q[4], q[2];\ncrx(x89) q[4], q[1];\ncrx(x90) q[4], q[0];\ncrx(x91) q[3], q[11];\ncrx(x80) q[3], q[10];\ncrx(x81) q[3], q[9];\ncrx(x82) q[3], q[8];\ncrx(x83) q[3], q[7];\ncrx(x84) q[3], q[6];\ncrx(x85) q[3], q[5];\ncrx(x86) q[3], q[4];\ncrx(x88) q[3], q[2];\ncrx(x89) q[3], q[1];\ncrx(x90) q[3], q[0];\ncrx(x91) q[2], q[11];\ncrx(x80) q[2], q[10];\ncrx(x81) q[2], q[9];\ncrx(x82) q[2], q[8];\ncrx(x83) q[2], q[7];\ncrx(x84) q[2], q[6];\ncrx(x85) q[2], q[5];\ncrx(x86) q[2], q[4];\ncrx(x87) q[2], q[3];\ncrx(x89) q[2], q[1];\ncrx(x90) q[2], q[0];\ncrx(x91) q[1], q[11];\ncrx(x80) q[1], q[10];\ncrx(x81) q[1], q[9];\ncrx(x82) q[1], q[8];\ncrx(x83) q[1], q[7];\ncrx(x84) q[1], q[6];\ncrx(x85) q[1], q[5];\ncrx(x86) q[1], q[4];\ncrx(x87) q[1], q[3];\ncrx(x88) q[1], q[2];\ncrx(x90) q[1], q[0];\ncrx(x91) q[0], q[11];\ncrx(x80) q[0], q[10];\ncrx(x81) q[0], q[9];\ncrx(x82) q[0], q[8];\ncrx(x83) q[0], q[7];\ncrx(x84) q[0], q[6];\ncrx(x85) q[0], q[5];\ncrx(x86) q[0], q[4];\ncrx(x87) q[0], q[3];\ncrx(x88) q[0], q[2];\ncrx(x89) q[0], q[1];\nrx(x92) q[0];\nrz(x93) q[0];\nrx(x94) q[1];\nrz(x95) q[1];\nrx(x96) q[2];\nrz(x97) q[2];\nrx(x98) q[3];\nrz(x37) q[3];\nrx(x14) q[4];\nrz(x99) q[4];\nrx(x100) q[5];\nrz(x101) q[5];\nrx(x78) q[6];\nrz(x102) q[6];\nrx(x103) q[7];\nrz(x17) q[7];\nrx(x104) q[8];\nrz(x105) q[8];\nrx(x106) q[9];\nrz(x107) q[9];\nrx(x108) q[10];\nrz(x41) q[10];\nrx(x109) q[11];\nrz(x110) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"communities_size\": 3, \"number_of_communities\": 2}","{\"circuits\": [], \"gradients\": []}"]
["7bc4dde9a09d0b94c5097b219891d81a","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 2}]}","{\"states\": [10, 3], \"expectation_value\": -1.9737567129598177, \"params\": null, \"bitstrings\": [\"0101\", \"1100\"], \"total_optimization_steps\": 13, \"probabilities\": [0.07348052951458199, 0.9007122774707554], \"optimization_time\": 5.927211761474609}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2)",1,4,4,"{\"smallest_eigenvalues\": [-2.0, -2.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"1100\", \"0101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[1];\nry(1.4449) q[2];\ncry(-1.0343) q[3], q[0];\nry(0.7003) q[3];\nry(-0.4549) q[0];\ncry(0.4963) q[2], q[3];\ncry(-0.3789) q[2], q[0];\ncry(0.1072) q[3], q[2];\ncry(-0.0719) q[0], q[3];\ncry(-0.0027) q[2], q[1];\ncry(0.0284) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.1072) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.1072) q[3], q[2];\\ncry(-0.0719) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.1072) q[3], q[2];\\ncry(-0.0719) q[0], q[3];\\ncry(-0.0027) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.1072) q[3], q[2];\\ncry(-0.0719) q[0], q[3];\\ncry(-0.0027) q[2], q[1];\\ncry(0.0284) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.1072) q[3], q[2];\\ncry(-0.0719) q[0], q[3];\\ncry(-0.0027) q[2], q[1];\\ncry(0.0284) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[4] c;\\nqubit[4] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nry(-1.5681) q[1];\\nry(1.4449) q[2];\\ncry(-1.0343) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[2], q[3];\\ncry(-0.3789) q[2], q[0];\\ncry(0.1072) q[3], q[2];\\ncry(-0.0719) q[0], q[3];\\ncry(-0.0027) q[2], q[1];\\ncry(0.0284) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\n\"], \"gradients\": [1.0042, 0.5, 0.2506, 0.2458, 0.1879, 0.2244, 0.1875, 0.0519, 0.0156, 0.0069, 0.0061, 0.0044, 0.003]}"]
["df6b0a55435c2e6f48611bfeaa2a8959","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}]}","{\"states\": [55, 47], \"expectation_value\": -2.9084274554268976, \"params\": [[-0.078, -0.08360000000000001, -0.0874, -0.0813], [0.0743, 0.07690000000000001, 0.0806, 0.078]], \"bitstrings\": [\"11001000\", \"11010000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.014965786362920716, 0.01496578636292073], \"optimization_time\": 8.364776849746704}","0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 1.5 * Z(5) + -0.5 * Z(0) + 0.5 * Z(1) + 0.0 * Z(2) + 2.0 * Z(6) + 2.0 * Z(7) + -0.5 * Z(3) + -0.5 * Z(4)",1,8,4,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"10100000\", \"11001000\", \"11010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[5], q[0];\nrz(-0.078) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(0.078) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(0.078) q[1];\ncx q[0], q[1];\ncx q[5], q[2];\nrz(0.078) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(0.078) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(-0.078) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(-0.078) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(-0.078) q[6];\ncx q[1], q[6];\ncx q[5], q[7];\nrz(-0.078) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(-0.078) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.156) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(0.078) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(0.078) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(0.078) q[3];\ncx q[7], q[3];\ncx q[1], q[4];\nrz(0.078) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(0.078) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(0.078) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(-0.078) q[4];\ncx q[3], q[4];\nrz(-0.234) q[5];\nrz(0.078) q[0];\nrz(-0.078) q[1];\nrz(0) q[2];\nrz(-0.312) q[6];\nrz(-0.312) q[7];\nrz(0.078) q[3];\nrz(0.078) q[4];\nh q[0];\nrz(0.1486) q[0];\nh q[0];\nh q[1];\nrz(0.1486) q[1];\nh q[1];\nh q[2];\nrz(0.1486) q[2];\nh q[2];\nh q[3];\nrz(0.1486) q[3];\nh q[3];\nh q[4];\nrz(0.1486) q[4];\nh q[4];\nh q[5];\nrz(0.1486) q[5];\nh q[5];\nh q[6];\nrz(0.1486) q[6];\nh q[6];\nh q[7];\nrz(0.1486) q[7];\nh q[7];\ncx q[5], q[0];\nrz(-0.0836) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(0.0836) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(0.0836) q[1];\ncx q[0], q[1];\ncx q[5], q[2];\nrz(0.0836) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(0.0836) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(-0.0836) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(-0.0836) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(-0.0836) q[6];\ncx q[1], q[6];\ncx q[5], q[7];\nrz(-0.0836) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(-0.0836) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.1672) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(0.0836) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(0.0836) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(0.0836) q[3];\ncx q[7], q[3];\ncx q[1], q[4];\nrz(0.0836) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(0.0836) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(0.0836) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(-0.0836) q[4];\ncx q[3], q[4];\nrz(-0.2508) q[5];\nrz(0.0836) q[0];\nrz(-0.0836) q[1];\nrz(0) q[2];\nrz(-0.3344) q[6];\nrz(-0.3344) q[7];\nrz(0.0836) q[3];\nrz(0.0836) q[4];\nh q[0];\nrz(0.1538) q[0];\nh q[0];\nh q[1];\nrz(0.1538) q[1];\nh q[1];\nh q[2];\nrz(0.1538) q[2];\nh q[2];\nh q[3];\nrz(0.1538) q[3];\nh q[3];\nh q[4];\nrz(0.1538) q[4];\nh q[4];\nh q[5];\nrz(0.1538) q[5];\nh q[5];\nh q[6];\nrz(0.1538) q[6];\nh q[6];\nh q[7];\nrz(0.1538) q[7];\nh q[7];\ncx q[5], q[0];\nrz(-0.0874) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(0.0874) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(0.0874) q[1];\ncx q[0], q[1];\ncx q[5], q[2];\nrz(0.0874) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(0.0874) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(-0.0874) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(-0.0874) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(-0.0874) q[6];\ncx q[1], q[6];\ncx q[5], q[7];\nrz(-0.0874) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(-0.0874) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.1748) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(0.0874) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(0.0874) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(0.0874) q[3];\ncx q[7], q[3];\ncx q[1], q[4];\nrz(0.0874) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(0.0874) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(0.0874) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(-0.0874) q[4];\ncx q[3], q[4];\nrz(-0.2622) q[5];\nrz(0.0874) q[0];\nrz(-0.0874) q[1];\nrz(0) q[2];\nrz(-0.3496) q[6];\nrz(-0.3496) q[7];\nrz(0.0874) q[3];\nrz(0.0874) q[4];\nh q[0];\nrz(0.1612) q[0];\nh q[0];\nh q[1];\nrz(0.1612) q[1];\nh q[1];\nh q[2];\nrz(0.1612) q[2];\nh q[2];\nh q[3];\nrz(0.1612) q[3];\nh q[3];\nh q[4];\nrz(0.1612) q[4];\nh q[4];\nh q[5];\nrz(0.1612) q[5];\nh q[5];\nh q[6];\nrz(0.1612) q[6];\nh q[6];\nh q[7];\nrz(0.1612) q[7];\nh q[7];\ncx q[5], q[0];\nrz(-0.0813) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(0.0813) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(0.0813) q[1];\ncx q[0], q[1];\ncx q[5], q[2];\nrz(0.0813) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(0.0813) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(-0.0813) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(-0.0813) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(-0.0813) q[6];\ncx q[1], q[6];\ncx q[5], q[7];\nrz(-0.0813) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(-0.0813) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.1626) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(0.0813) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(0.0813) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(0.0813) q[3];\ncx q[7], q[3];\ncx q[1], q[4];\nrz(0.0813) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(0.0813) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(0.0813) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(-0.0813) q[4];\ncx q[3], q[4];\nrz(-0.2439) q[5];\nrz(0.0813) q[0];\nrz(-0.0813) q[1];\nrz(0) q[2];\nrz(-0.3252) q[6];\nrz(-0.3252) q[7];\nrz(0.0813) q[3];\nrz(0.0813) q[4];\nh q[0];\nrz(0.156) q[0];\nh q[0];\nh q[1];\nrz(0.156) q[1];\nh q[1];\nh q[2];\nrz(0.156) q[2];\nh q[2];\nh q[3];\nrz(0.156) q[3];\nh q[3];\nh q[4];\nrz(0.156) q[4];\nh q[4];\nh q[5];\nrz(0.156) q[5];\nh q[5];\nh q[6];\nrz(0.156) q[6];\nh q[6];\nh q[7];\nrz(0.156) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x1) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[5], q[2];\nrz(x1) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x2) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(x1) q[3];\ncx q[7], q[3];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(x1) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x3) q[5];\nrz(x1) q[0];\nrz(x0) q[1];\nrz(x4) q[2];\nrz(x5) q[6];\nrz(x5) q[7];\nrz(x1) q[3];\nrz(x1) q[4];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\ncx q[5], q[0];\nrz(x7) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x8) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(x8) q[1];\ncx q[0], q[1];\ncx q[5], q[2];\nrz(x8) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x7) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(x7) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(x7) q[6];\ncx q[1], q[6];\ncx q[5], q[7];\nrz(x7) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(x7) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(x8) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(x8) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(x8) q[3];\ncx q[7], q[3];\ncx q[1], q[4];\nrz(x8) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(x8) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(x8) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\nrz(x10) q[5];\nrz(x8) q[0];\nrz(x7) q[1];\nrz(x4) q[2];\nrz(x11) q[6];\nrz(x11) q[7];\nrz(x8) q[3];\nrz(x8) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\ncx q[5], q[0];\nrz(x13) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x14) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(x14) q[1];\ncx q[0], q[1];\ncx q[5], q[2];\nrz(x14) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(x14) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x13) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(x13) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(x13) q[6];\ncx q[1], q[6];\ncx q[5], q[7];\nrz(x13) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(x13) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x15) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(x14) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(x14) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(x14) q[3];\ncx q[7], q[3];\ncx q[1], q[4];\nrz(x14) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(x14) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(x14) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(x13) q[4];\ncx q[3], q[4];\nrz(x16) q[5];\nrz(x14) q[0];\nrz(x13) q[1];\nrz(x4) q[2];\nrz(x17) q[6];\nrz(x17) q[7];\nrz(x14) q[3];\nrz(x14) q[4];\nh q[0];\nrz(x18) q[0];\nh q[0];\nh q[1];\nrz(x18) q[1];\nh q[1];\nh q[2];\nrz(x18) q[2];\nh q[2];\nh q[3];\nrz(x18) q[3];\nh q[3];\nh q[4];\nrz(x18) q[4];\nh q[4];\nh q[5];\nrz(x18) q[5];\nh q[5];\nh q[6];\nrz(x18) q[6];\nh q[6];\nh q[7];\nrz(x18) q[7];\nh q[7];\ncx q[5], q[0];\nrz(x19) q[0];\ncx q[5], q[0];\ncx q[5], q[1];\nrz(x20) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(x20) q[1];\ncx q[0], q[1];\ncx q[5], q[2];\nrz(x20) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[1], q[2];\nrz(x19) q[2];\ncx q[1], q[2];\ncx q[5], q[6];\nrz(x19) q[6];\ncx q[5], q[6];\ncx q[1], q[6];\nrz(x19) q[6];\ncx q[1], q[6];\ncx q[5], q[7];\nrz(x19) q[7];\ncx q[5], q[7];\ncx q[1], q[7];\nrz(x19) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x21) q[7];\ncx q[6], q[7];\ncx q[1], q[3];\nrz(x20) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(x20) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(x20) q[3];\ncx q[7], q[3];\ncx q[1], q[4];\nrz(x20) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(x20) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(x20) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(x19) q[4];\ncx q[3], q[4];\nrz(x22) q[5];\nrz(x20) q[0];\nrz(x19) q[1];\nrz(x4) q[2];\nrz(x23) q[6];\nrz(x23) q[7];\nrz(x20) q[3];\nrz(x20) q[4];\nh q[0];\nrz(x24) q[0];\nh q[0];\nh q[1];\nrz(x24) q[1];\nh q[1];\nh q[2];\nrz(x24) q[2];\nh q[2];\nh q[3];\nrz(x24) q[3];\nh q[3];\nh q[4];\nrz(x24) q[4];\nh q[4];\nh q[5];\nrz(x24) q[5];\nh q[5];\nh q[6];\nrz(x24) q[6];\nh q[6];\nh q[7];\nrz(x24) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 4}","{\"circuits\": [], \"gradients\": []}"]
["6206337d7d1967e1d98c4b708b2f9aeb","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [9, 44], \"expectation_value\": -0.3427533657075198, \"params\": [[-0.0731], [0.0684]], \"bitstrings\": [\"110110\", \"010011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01725211995211135, 0.01819560940294744], \"optimization_time\": 1.9275853633880615}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0731) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(-0.0731) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0731) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0731) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0731) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0731) q[5];\ncx q[4], q[5];\ncx q[1], q[2];\nrz(-0.0731) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(-0.0731) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(-0.0731) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(-0.0731) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.0731) q[3];\ncx q[5], q[3];\nrz(0.2924) q[1];\nrz(0.1462) q[0];\nrz(0.2924) q[4];\nrz(0.2193) q[5];\nrz(0.0731) q[2];\nrz(0.1462) q[3];\nh q[0];\nrz(0.1368) q[0];\nh q[0];\nh q[1];\nrz(0.1368) q[1];\nh q[1];\nh q[2];\nrz(0.1368) q[2];\nh q[2];\nh q[3];\nrz(0.1368) q[3];\nh q[3];\nh q[4];\nrz(0.1368) q[4];\nh q[4];\nh q[5];\nrz(0.1368) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x1) q[4];\nrz(x3) q[5];\nrz(x4) q[2];\nrz(x2) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["7af7d775bcaae53afe2e6cd801577577","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 6}]}","{\"states\": [61, 63], \"expectation_value\": -0.09484813060555487, \"params\": [[0.049800000000000004], [-0.0393]], \"bitstrings\": [\"1000010\", \"1000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008335853869296864, 0.008396839484586771], \"optimization_time\": 2.6549837589263916}","-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1000000\", \"1000010\", \"1001000\", \"1001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(-0.0249) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(-0.0498) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.0498) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(-0.0747) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(-0.1245) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(-0.0498) q[4];\ncx q[1], q[4];\ncx q[0], q[6];\nrz(0.0996) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(-0.0498) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(-0.0747) q[6];\ncx q[4], q[6];\nrz(0.0498) q[2];\nrz(-0.0249) q[0];\nrz(-0.0498) q[5];\nrz(-0.0747) q[3];\nrz(0.1245) q[1];\nrz(0) q[4];\nrz(-0.0249) q[6];\nh q[0];\nrz(-0.0786) q[0];\nh q[0];\nh q[1];\nrz(-0.0786) q[1];\nh q[1];\nh q[2];\nrz(-0.0786) q[2];\nh q[2];\nh q[3];\nrz(-0.0786) q[3];\nh q[3];\nh q[4];\nrz(-0.0786) q[4];\nh q[4];\nh q[5];\nrz(-0.0786) q[5];\nh q[5];\nh q[6];\nrz(-0.0786) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[3], q[1];\nrz(x2) q[1];\ncx q[3], q[1];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[6];\nrz(x4) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\nrz(x5) q[2];\nrz(x0) q[0];\nrz(x1) q[5];\nrz(x2) q[3];\nrz(x6) q[1];\nrz(x7) q[4];\nrz(x0) q[6];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["-6086076243898743339","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 1, 3, 5], [3, 4], [0, 1, 2, 3], [1, 2, 5], [0, 4, 5]]}","{\"states\": [58, 45], \"expectation_value\": -0.674849913674056, \"params\": [[0.3791], [-0.37920000000000004]], \"bitstrings\": [\"000101\", \"010010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.03895484479744746, 0.039636287931299585], \"optimization_time\": 1.9498543739318848}","0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.25 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.41666666666666663 * Z(1) + 0.41666666666666663 * Z(0) + 0.25 * Z(3) + 0.45833333333333337 * Z(5) + 0.16666666666666663 * Z(4) + 0.29166666666666663 * Z(2)",1,6,1,"{\"smallest_eigenvalues\": [-1.6666666666666665], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.5833333333333326, \"smallest_bitstrings\": [\"010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(0.1264) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.1264) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.1264) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(0.1895) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.1895) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0632) q[5];\ncx q[3], q[5];\ncx q[0], q[4];\nrz(0.1264) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.3791) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(0.1264) q[4];\ncx q[5], q[4];\ncx q[1], q[2];\nrz(0.1895) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0632) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.0632) q[2];\ncx q[3], q[2];\ncx q[5], q[2];\nrz(0.1264) q[2];\ncx q[5], q[2];\nrz(0.3159) q[1];\nrz(0.3159) q[0];\nrz(0.1895) q[3];\nrz(0.3475) q[5];\nrz(0.1264) q[4];\nrz(0.2211) q[2];\nh q[0];\nrz(-0.7584) q[0];\nh q[0];\nh q[1];\nrz(-0.7584) q[1];\nh q[1];\nh q[2];\nrz(-0.7584) q[2];\nh q[2];\nh q[3];\nrz(-0.7584) q[3];\nh q[3];\nh q[4];\nrz(-0.7584) q[4];\nh q[4];\nh q[5];\nrz(-0.7584) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x3) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x2) q[2];\ncx q[3], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\nrz(x4) q[1];\nrz(x4) q[0];\nrz(x1) q[3];\nrz(x5) q[5];\nrz(x0) q[4];\nrz(x6) q[2];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["61fc58e7ea5c0b858181cef6a00713e4","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 1}, {\"weight\": 18, \"source\": 0, \"target\": 6}, {\"weight\": 6, \"source\": 2, \"target\": 3}, {\"weight\": 13, \"source\": 2, \"target\": 5}, {\"weight\": 19, \"source\": 2, \"target\": 7}, {\"weight\": 16, \"source\": 3, \"target\": 5}, {\"weight\": 12, \"source\": 3, \"target\": 7}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 3, \"source\": 6, \"target\": 7}]}","{\"states\": [249, 188], \"expectation_value\": -29.76401815418995, \"params\": null, \"bitstrings\": [\"100000110\", \"101000011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.10854950291818022, 0.1832553262641075], \"optimization_time\": 158.68650579452515}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) + -2.5 * Z(0) + 15.5 * Z(3) + 12.0 * Z(2) + 18.5 * Z(4) + 15.0 * Z(6) + 17.0 * Z(5) + 0.5 * Z(7) + 6.0 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-86.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -74.0, \"smallest_bitstrings\": [\"101000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1215) q[4];\nry(-23.4164) q[5];\ncry(0.1181) q[5], q[4];\nry(23.9349) q[3];\ncry(-2.7541) q[7], q[4];\nry(56.209) q[2];\nry(63.0362) q[6];\ncry(62.7821) q[5], q[6];\ncry(16.3845) q[5], q[2];\nry(-0.458) q[1];\nry(2.6603) q[8];\ncry(0.8648) q[8], q[2];\ncry(2.6713) q[8], q[6];\ncry(0.0626) q[5], q[1];\ncry(-22.1568) q[5], q[3];\ncry(0.0003) q[3], q[1];\ncry(1.9834) q[6], q[1];\ncry(-0.3384) q[1], q[0];\ncry(0.1463) q[5], q[8];\ncry(0.0237) q[3], q[8];\nry(-0.1986) q[0];\ncry(-0.0145) q[5], q[0];\ncry(-0.0307) q[3], q[0];\ncry(-0.2069) q[6], q[0];\ncry(1.0288) q[4], q[7];\ncry(-0.7662) q[3], q[4];\ncry(-0.1511) q[3], q[7];\ncry(-0.0015) q[5], q[7];\nry(-0.0147) q[7];\ncry(-0.9841) q[1], q[7];\ncry(3.9517) q[1], q[4];\ncry(-0.7824) q[6], q[4];\ncry(1.8277) q[4], q[8];\ncry(2.4279) q[1], q[6];\ncry(-17.7626) q[3], q[6];\ncry(3.5321) q[4], q[6];\ncry(-0.7176) q[4], q[0];\ncry(1.7732) q[4], q[1];\ncry(2.5382) q[8], q[4];\ncry(-21.377) q[4], q[3];\ncry(3.6469) q[6], q[3];\ncry(-2.4959) q[7], q[2];\ncry(-0.9153) q[1], q[3];\ncry(0.614) q[6], q[2];\ncry(-0.9139) q[4], q[2];\ncry(-1.5143) q[2], q[1];\ncry(-0.78) q[1], q[8];\ncry(0.77) q[3], q[2];\ncry(-0.448) q[1], q[2];\ncry(-0.5565) q[7], q[8];\ncry(0.3373) q[6], q[8];\ncry(-0.1188) q[2], q[4];\ncry(-0.3691) q[2], q[0];\ncry(1.6668) q[2], q[3];\ncry(-1.3004) q[8], q[7];\ncry(1.8187) q[7], q[1];\ncry(-0.5596) q[8], q[1];\ncry(-0.4252) q[8], q[0];\ncry(-0.3112) q[2], q[8];\ncry(0.1063) q[6], q[7];\ncry(0.4577) q[2], q[7];\ncry(0.5909) q[8], q[3];\ncry(0.9748) q[0], q[8];\ncry(21.6076) q[1], q[5];\ncry(-2.8146) q[4], q[5];\ncry(0.6146) q[6], q[5];\ncry(0.3746) q[8], q[5];\ncry(-0.3062) q[3], q[5];\ncry(1.8115) q[7], q[5];\ncry(-0.3098) q[2], q[5];\ncry(-2.5605) q[7], q[6];\ncry(0.7559) q[7], q[3];\ncry(-0.4922) q[0], q[6];\ncry(-0.5913) q[0], q[2];\ncry(-0.22) q[0], q[5];\ncry(0.1637) q[0], q[3];\ncry(0.0529) q[7], q[0];\ncry(0.15) q[0], q[4];\ncry(0.0989) q[0], q[7];\ncry(-0.0168) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}",{"$cut":{"chars":152580,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nry(56.209) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nry(56.209) q[2];\\nry(63.0362) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nry(56.209) q[2];\\nry(63.0362) q[6];\\ncry(62.7821) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nry(56.209) q[2];\\nry(63.0362) q[6];\\ncry(62.7821) q[5], q[6];\\ncry(16.3845) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8"}}]
["c24dd733315066f7c7da3d578f954d8c","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 2}]}","{\"states\": [4, 0], \"expectation_value\": -2.544911536768462, \"params\": null, \"bitstrings\": [\"11011\", \"11111\"], \"total_optimization_steps\": 6, \"probabilities\": [0.003905797211247971, 0.9825329383933348], \"optimization_time\": 8.377405881881714}","0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0625 * (Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(4) @ Z(3) @ Z(2)) + -0.5625 * Z(0) + -0.5625 * Z(2) + -0.5625 * Z(3) + -0.5625 * Z(4) + -0.5625 * Z(1)",1,5,2,"{\"smallest_eigenvalues\": [-2.5625], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.5625, \"smallest_bitstrings\": [\"11111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4868) q[0];\nry(-1.445) q[1];\nry(-1.4449) q[4];\nry(-1.4449) q[3];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4868) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4868) q[0];\\nry(-1.445) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4868) q[0];\\nry(-1.445) q[1];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4868) q[0];\\nry(-1.445) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4868) q[0];\\nry(-1.445) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4868) q[0];\\nry(-1.445) q[1];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(-1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.5647, 0.501, 0.5006, 0.5003, 0.5001, 0.0005]}"]
["834390fba4c480def6c6a26217d7a9af","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 2}]}","{\"states\": [35, 33], \"expectation_value\": -10.499999938947196, \"params\": null, \"bitstrings\": [\"1011100\", \"1011110\"], \"total_optimization_steps\": 26, \"probabilities\": [4.003266179411504e-08, 0.999999957628926], \"optimization_time\": 24.43151044845581}","-0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z(6) + 1.5 * Z(1)",1,7,1,"{\"smallest_eigenvalues\": [-10.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.5, \"smallest_bitstrings\": [\"1011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nry(1.5708) q[6];\nry(-1.5708) q[0];\ncry(-1.5708) q[1], q[4];\nry(-1.5486) q[2];\nry(-1.5708) q[3];\nry(-1.4449) q[5];\ncry(-0.1188) q[1], q[5];\ncry(-0.0222) q[1], q[2];\ncry(-0.0001) q[1], q[0];\ncry(-0.0067) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\ncry(-0.0001) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\ncry(-0.0001) q[1], q[0];\\ncry(-0.0067) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\ncry(-0.0001) q[1], q[0];\\ncry(-0.0067) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\ncry(-0.0001) q[1], q[0];\\ncry(-0.0067) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\ncry(-0.0001) q[1], q[0];\\ncry(-0.0067) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\ncry(-0.0001) q[1], q[0];\\ncry(-0.0067) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(1.5708) q[6];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[1], q[4];\\nry(-1.5486) q[2];\\nry(-1.5708) q[3];\\nry(-1.4449) q[5];\\ncry(-0.1188) q[1], q[5];\\ncry(-0.0222) q[1], q[2];\\ncry(-0.0001) q[1], q[0];\\ncry(-0.0067) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.5072, 2.239, 2.4907, 1.501, 0.7477, 1.5, 0.5, 0.0638, 0.0363, 0.0135, 0.009, 0.009, 0.009, 0.0045, 0.0045, 0.0045, 0.0045, 0.0045, 0.0045, 0.0045, 0.0041, 0.003, 0.003, 0.003, 0.003, 0.003]}"]
["1909115557766259076","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 2, 3, 6], [0, 3, 4, 5, 6], [0, 2, 5, 6], [1, 4], [0, 1]]}","{\"states\": [94, 93], \"expectation_value\": -0.7038777819557989, \"params\": [[-0.4873], [0.41450000000000004]], \"bitstrings\": [\"0100001\", \"0100010\"], \"total_optimization_steps\": 50, \"probabilities\": [0.02463028973156383, 0.02465511531669149], \"optimization_time\": 11.107454299926758}","0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(6)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(4)) + 0.24999999999999994 * Z(2) + 0.125 * Z(1) + 0.22499999999999995 * Z(3) + 0.35 * Z(6) + 0.2250000000000001 * Z(0) + 0.1000000000000002 * Z(4) + 0.225 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-1.6999999999999997], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.6166666666666667, \"smallest_bitstrings\": [\"0100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[1];\nrz(-0.0812) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(-0.0812) q[3];\ncx q[2], q[3];\ncx q[1], q[3];\nrz(-0.0812) q[3];\ncx q[1], q[3];\ncx q[2], q[6];\nrz(-0.1624) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(-0.0812) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(-0.1299) q[6];\ncx q[3], q[6];\ncx q[2], q[0];\nrz(-0.0812) q[0];\ncx q[2], q[0];\ncx q[1], q[0];\nrz(-0.4873) q[0];\ncx q[1], q[0];\ncx q[3], q[0];\nrz(-0.0487) q[0];\ncx q[3], q[0];\ncx q[6], q[0];\nrz(-0.1299) q[0];\ncx q[6], q[0];\ncx q[1], q[4];\nrz(-0.4873) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.0487) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.0487) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(-0.0487) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(-0.0812) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0487) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(-0.1299) q[5];\ncx q[6], q[5];\ncx q[0], q[5];\nrz(-0.1299) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0487) q[5];\ncx q[4], q[5];\nrz(-0.2436) q[2];\nrz(-0.1218) q[1];\nrz(-0.2193) q[3];\nrz(-0.3411) q[6];\nrz(-0.2193) q[0];\nrz(-0.0975) q[4];\nrz(-0.2193) q[5];\nh q[0];\nrz(0.829) q[0];\nh q[0];\nh q[1];\nrz(0.829) q[1];\nh q[1];\nh q[2];\nrz(0.829) q[2];\nh q[2];\nh q[3];\nrz(0.829) q[3];\nh q[3];\nh q[4];\nrz(0.829) q[4];\nh q[4];\nh q[5];\nrz(0.829) q[5];\nh q[5];\nh q[6];\nrz(0.829) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x2) q[6];\ncx q[3], q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[1], q[0];\nrz(x3) q[0];\ncx q[1], q[0];\ncx q[3], q[0];\nrz(x4) q[0];\ncx q[3], q[0];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[1], q[4];\nrz(x3) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x4) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x4) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(x4) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\nrz(x5) q[2];\nrz(x6) q[1];\nrz(x7) q[3];\nrz(x8) q[6];\nrz(x7) q[0];\nrz(x9) q[4];\nrz(x7) q[5];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["-2368963512029151782","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3], \"hyperedges\": [[2, 3], [0, 1], [0, 3], [1, 3]]}","{\"states\": [9, 10], \"expectation_value\": -0.011627276729379368, \"params\": [[-0.0383], [0.0381]], \"bitstrings\": [\"0110\", \"0101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.06322948868224504, 0.06322948868224504], \"optimization_time\": 0.3282616138458252}","0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1)",1,4,1,"{\"smallest_eigenvalues\": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": 0.0, \"smallest_bitstrings\": [\"1110\", \"1010\", \"1001\", \"0110\", \"0101\", \"0001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[3], q[2];\nrz(-0.0383) q[2];\ncx q[3], q[2];\ncx q[3], q[0];\nrz(-0.0383) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(-0.0383) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.0383) q[1];\ncx q[0], q[1];\nrz(0) q[3];\nrz(0) q[2];\nrz(0) q[0];\nrz(0) q[1];\nh q[0];\nrz(0.0762) q[0];\nh q[0];\nh q[1];\nrz(0.0762) q[1];\nh q[1];\nh q[2];\nrz(0.0762) q[2];\nh q[2];\nh q[3];\nrz(0.0762) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\nrz(x1) q[3];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[1];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];",null,"{\"circuits\": [], \"gradients\": []}"]
["00c47f772e828bc0d4453cbe4002ef93","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [5, 7], \"expectation_value\": -5.304559129426311, \"params\": [[[0.3017, -0.19390000000000002], [0.2634, 0.231], [0.30310000000000004, -0.1927], [0.3013, 0.1963], [0.65, 0.0001], [0.5924, 0.0004], [0.6018, 0.0031000000000000003]], [[0.3033, -0.19390000000000002], [0.2621, 0.23120000000000002], [0.3045, -0.1927], [0.3039, 0.1962], [0.6508, 0.0001], [0.6001000000000001, 0.0004], [0.5930000000000001, 0.0032]], [[0.3002, 0.0043], [0.2581, 0.004], [0.2972, 0.0098], [0.3002, 0.0057], [0.6456000000000001, 0.0079], [0.5943, 0.0036000000000000003], [0.597, 0.003]]], \"bitstrings\": [\"1111010\", \"1111000\"], \"total_optimization_steps\": 70, \"probabilities\": [0.07574047861492517, 0.1170672489294465], \"optimization_time\": 4.1347877979278564}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + 2.5 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(3)) + 2.25 * (Z(6) @ Z(4)) + 2.25 * (Z(6) @ Z(5)) + -3.5 * Z(1) + -3.25 * Z(0) + -3.25 * Z(2) + -3.25 * Z(3) + -2.75 * Z(4) + -3.0 * Z(5) + -3.0 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-13.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.75, \"smallest_bitstrings\": [\"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.3017) q[0];\nrz(-0.1939) q[0];\nrx(0.2634) q[1];\nrz(0.231) q[1];\nrx(0.3031) q[2];\nrz(-0.1927) q[2];\nrx(0.3013) q[3];\nrz(0.1963) q[3];\nrx(0.65) q[4];\nrz(0.0001) q[4];\nrx(0.5924) q[5];\nrz(0.0004) q[5];\nrx(0.6018) q[6];\nrz(0.0031) q[6];\nrx(0.3033) q[0];\nrz(-0.1939) q[0];\nrx(0.2621) q[1];\nrz(0.2312) q[1];\nrx(0.3045) q[2];\nrz(-0.1927) q[2];\nrx(0.3039) q[3];\nrz(0.1962) q[3];\nrx(0.6508) q[4];\nrz(0.0001) q[4];\nrx(0.6001) q[5];\nrz(0.0004) q[5];\nrx(0.593) q[6];\nrz(0.0032) q[6];\nrx(0.3002) q[0];\nrz(0.0043) q[0];\nrx(0.2581) q[1];\nrz(0.004) q[1];\nrx(0.2972) q[2];\nrz(0.0098) q[2];\nrx(0.3002) q[3];\nrz(0.0057) q[3];\nrx(0.6456) q[4];\nrz(0.0079) q[4];\nrx(0.5943) q[5];\nrz(0.0036) q[5];\nrx(0.597) q[6];\nrz(0.003) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[0];\nrz(x1) q[0];\nrx(x15) q[1];\nrz(x16) q[1];\nrx(x17) q[2];\nrz(x5) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\nrx(x20) q[4];\nrz(x9) q[4];\nrx(x21) q[5];\nrz(x11) q[5];\nrx(x22) q[6];\nrz(x23) q[6];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x24) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["4286d838a0864c608421aefd7c0a8694","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 3}, {\"capacity\": 3, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 2}]}","{\"states\": [3, 1], \"expectation_value\": -2.605324780112483, \"params\": [[0.0626, 0.0582], [-0.060200000000000004, -0.0572]], \"bitstrings\": [\"11111100\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00946830514769875, 0.009849924320260063], \"optimization_time\": 3.234785556793213}","-1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -2.25 * Z(3) + -1.0 * Z(4) + 4.25 * Z(7) + 0.75 * Z(5) + 1.25 * Z(6)",1,8,2,"{\"smallest_eigenvalues\": [-22.25, -22.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -21.25, \"smallest_bitstrings\": [\"11111110\", \"11111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.1252) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1565) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1252) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0939) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1252) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0626) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1252) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0626) q[4];\ncx q[3], q[4];\ncx q[0], q[7];\nrz(0.5321) q[7];\ncx q[0], q[7];\ncx q[2], q[5];\nrz(-0.0313) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.1252) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.0939) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.0626) q[6];\ncx q[2], q[6];\nrz(-0.2817) q[1];\nrz(-0.0313) q[0];\nrz(-0.0626) q[2];\nrz(-0.2817) q[3];\nrz(-0.1252) q[4];\nrz(0.5321) q[7];\nrz(0.0939) q[5];\nrz(0.1565) q[6];\nh q[0];\nrz(-0.1204) q[0];\nh q[0];\nh q[1];\nrz(-0.1204) q[1];\nh q[1];\nh q[2];\nrz(-0.1204) q[2];\nh q[2];\nh q[3];\nrz(-0.1204) q[3];\nh q[3];\nh q[4];\nrz(-0.1204) q[4];\nh q[4];\nh q[5];\nrz(-0.1204) q[5];\nh q[5];\nh q[6];\nrz(-0.1204) q[6];\nh q[6];\nh q[7];\nrz(-0.1204) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.1164) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1455) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1164) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0873) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1164) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(-0.0582) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1164) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0582) q[4];\ncx q[3], q[4];\ncx q[0], q[7];\nrz(0.4947) q[7];\ncx q[0], q[7];\ncx q[2], q[5];\nrz(-0.0291) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.1164) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.0873) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.0582) q[6];\ncx q[2], q[6];\nrz(-0.2619) q[1];\nrz(-0.0291) q[0];\nrz(-0.0582) q[2];\nrz(-0.2619) q[3];\nrz(-0.1164) q[4];\nrz(0.4947) q[7];\nrz(0.0873) q[5];\nrz(0.1455) q[6];\nh q[0];\nrz(-0.1144) q[0];\nh q[0];\nh q[1];\nrz(-0.1144) q[1];\nh q[1];\nh q[2];\nrz(-0.1144) q[2];\nh q[2];\nh q[3];\nrz(-0.1144) q[3];\nh q[3];\nh q[4];\nrz(-0.1144) q[4];\nh q[4];\nh q[5];\nrz(-0.1144) q[5];\nh q[5];\nh q[6];\nrz(-0.1144) q[6];\nh q[6];\nh q[7];\nrz(-0.1144) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x3) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x3) q[4];\ncx q[3], q[4];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[2], q[5];\nrz(x5) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x3) q[6];\ncx q[2], q[6];\nrz(x6) q[1];\nrz(x5) q[0];\nrz(x3) q[2];\nrz(x6) q[3];\nrz(x0) q[4];\nrz(x4) q[7];\nrz(x7) q[5];\nrz(x8) q[6];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x12) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x13) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x13) q[4];\ncx q[3], q[4];\ncx q[0], q[7];\nrz(x14) q[7];\ncx q[0], q[7];\ncx q[2], q[5];\nrz(x15) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x12) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x13) q[6];\ncx q[2], q[6];\nrz(x16) q[1];\nrz(x15) q[0];\nrz(x13) q[2];\nrz(x16) q[3];\nrz(x10) q[4];\nrz(x14) q[7];\nrz(x17) q[5];\nrz(x18) q[6];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["9eb990d2817d4507a1e9a1f31f8f79ce","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [104, 56], \"expectation_value\": -6.999937480746295, \"params\": null, \"bitstrings\": [\"0010111\", \"1000111\"], \"total_optimization_steps\": 32, \"probabilities\": [1.63569187056525e-05, 0.9999687410148392], \"optimization_time\": 41.52206230163574}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(5) + -2.5 * Z(6) + -2.0 * Z(4) + -1.0 * Z(3)",1,7,2,"{\"smallest_eigenvalues\": [-7.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"1000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nry(-1.5708) q[5];\nry(-1.5681) q[4];\nry(-1.4449) q[0];\nry(1.4449) q[3];\nry(1.4417) q[1];\nry(1.4417) q[2];\ncry(-0.1259) q[2], q[0];\ncry(0.1217) q[3], q[1];\ncry(0.1216) q[1], q[2];\ncry(0.1186) q[2], q[3];\ncry(-0.0027) q[3], q[4];\ncry(-0.0005) q[3], q[0];\ncry(0.0074) q[2], q[1];\ncry(0.0069) q[3], q[2];\ncry(0.0067) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":16609,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[3];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[3];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[3];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[3];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1217) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[3];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[0];\\ncry(0.1217) q[3], q[1];\\ncry(0.1216) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q"}}]
["9ee98ef8a7f7cf3d252e75cdff7e85b3","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [14, 77], \"expectation_value\": -2.879885350711258, \"params\": null, \"bitstrings\": [\"1110001\", \"0110010\"], \"total_optimization_steps\": 37, \"probabilities\": [0.06141251598943395, 0.8446750997103469], \"optimization_time\": 43.87950110435486}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(0) @ Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + -0.125 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.125 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -0.5 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-3.125, -3.125], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.125, \"smallest_bitstrings\": [\"1010001\", \"0110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4449) q[1];\nry(-1.4449) q[2];\nry(1.2953) q[4];\ncry(-1.2979) q[6], q[5];\nry(1.2918) q[3];\nry(0.7766) q[6];\nry(-0.6306) q[5];\ncry(1.319) q[6], q[0];\ncry(0.4655) q[4], q[6];\ncry(-0.1259) q[4], q[2];\ncry(-0.1389) q[0], q[5];\ncry(-0.1259) q[0], q[1];\ncry(0.255) q[4], q[3];\ncry(0.2436) q[3], q[4];\nry(0.2197) q[0];\ncry(-0.2736) q[5], q[0];\ncry(0.1144) q[0], q[6];\ncry(-0.0687) q[5], q[6];\ncry(0.0322) q[3], q[5];\ncry(0.0219) q[6], q[3];\ncry(0.0198) q[0], q[4];\ncry(-0.0031) q[6], q[1];\ncry(-0.0022) q[3], q[2];\ncry(-0.0068) q[4], q[0];\ncry(0.0187) q[5], q[1];\ncry(0.005) q[4], q[1];\ncry(-0.0042) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":24840,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nry(-1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nry(-1.4449) q[2];\\nry(1.2953) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nry(-1.4449) q[2];\\nry(1.2953) q[4];\\ncry(-1.2979) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nry(-1.4449) q[2];\\nry(1.2953) q[4];\\ncry(-1.2979) q[6], q[5];\\nry(1.2918) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nry(-1.4449) q[2];\\nry(1.2953) q[4];\\ncry(-1.2979) q[6], q[5];\\nry(1.2918) q[3];\\nry(0.7766) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nry(-1.4449) q[2];\\nry(1.2953) q[4];\\ncry(-1.2979) q[6], q[5];\\nry(1.2918) q[3];\\nry(0.7766) q[6];\\nry(-0.6306) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nry(-1.4449) q[2];\\nry(1.2953) q[4];\\ncry(-1.2979) q[6], q[5];\\nry(1.2918) q[3];\\nry(0.7766) q[6];\\nry(-0.6306) q[5];\\ncry(1.319) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nry(-1.4449) q[2];\\nry(1.2953) q[4];\\ncry(-1.2979) q[6], q[5];\\nry(1.2918) q[3];\\nry(0.7766) q[6];\\nry(-0.6306) q[5];\\ncry(1.319) q[6], q[0];\\ncry(0.4655) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.4449) q[1];\\nry(-1.4449) q[2];\\nry(1.2953) q[4];\\ncry(-1.2979) q[6], q[5];\\nry(1.2918) q[3];\\nry(0.7766) q[6];\\nry(-0.6306) q[5];\\ncry(1.319) q[6], q[0];\\ncry(0.4655) q[4], q[6];\\ncry(-0.1259) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\n"}}]
["c1a7889649f2eea9d14476ba3ced04aa","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 5}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 5, \"source\": 1, \"target\": 6}, {\"weight\": 10, \"source\": 2, \"target\": 7}, {\"weight\": 19, \"source\": 2, \"target\": 9}, {\"weight\": 5, \"source\": 3, \"target\": 8}, {\"weight\": 17, \"source\": 3, \"target\": 12}, {\"weight\": 2, \"source\": 4, \"target\": 9}, {\"weight\": 14, \"source\": 4, \"target\": 5}, {\"weight\": 18, \"source\": 4, \"target\": 11}]}","{\"states\": [374, 310], \"expectation_value\": -76.60289071939442, \"params\": [[[0.8938, 0.0039000000000000003], [0.6921, -0.0043], [-0.0755, 0.0094], [0.4016, -0.13090000000000002], [0.5226000000000001, 0.7077], [0.3241, 0.6873], [0.0835, 0.4451], [-0.23140000000000002, 0.8976000000000001], [0.2414, 0.6216], [0.7619, -0.13920000000000002]], [[0.6076, -0.0049], [0.8093, 0.0004], [0.0562, -0.0], [0.3443, 0.0726], [0.3916, 0.0261], [0.8821, 0.2639], [-0.044700000000000004, 0.3002], [-0.1698, 0.3572], [0.0499, 0.8867], [0.5013000000000001, 0.8799]], [[0.33580000000000004, 0.006900000000000001], [0.8152, -0.005200000000000001], [0.10250000000000001, -0.0001], [0.29560000000000003, -0.08710000000000001], [0.7583000000000001, 0.013300000000000001], [0.87, 0.08600000000000001], [-0.0167, 0.24830000000000002], [0.8168000000000001, 0.6418], [0.7888000000000001, -0.1376], [0.2995, 0.06570000000000001]], [[0.8896000000000001, -0.003], [0.8187000000000001, 0.0004], [-0.0877, -0.0035], [0.28300000000000003, 0.0341], [0.8974000000000001, -0.0071], [0.8741, 0.0291], [-0.40950000000000003, 0.0482], [0.8741, 0.0432], [0.2146, 0.48810000000000003], [0.897, 0.0646]]], \"bitstrings\": [\"1010001001\", \"1011001001\"], \"total_optimization_steps\": 90, \"probabilities\": [0.24795316564298714, 0.5681744819644556], \"optimization_time\": 60.86065697669983}","7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(7) @ Z(8)) + 2.5 * Z(0) + 5.5 * Z(1) + 5.0 * Z(3) + 9.5 * Z(4) + -4.5 * Z(6) + 1.5 * Z(5) + 8.0 * Z(9) + 14.0 * Z(8) + 9.0 * Z(7) + -11.5 * Z(2)",15,10,4,"{\"smallest_eigenvalues\": [-89.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -77.0, \"smallest_bitstrings\": [\"1011001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.8938) q[0];\nry(0.6921) q[1];\nry(-0.0755) q[2];\nry(0.4016) q[3];\nry(0.5226) q[4];\nry(0.3241) q[5];\nry(0.0835) q[6];\nry(-0.2314) q[7];\nry(0.2414) q[8];\nry(0.7619) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0039) q[0];\nry(-0.0043) q[1];\nry(0.0094) q[2];\nry(-0.1309) q[3];\nry(0.7077) q[4];\nry(0.6873) q[5];\nry(0.4451) q[6];\nry(0.8976) q[7];\nry(0.6216) q[8];\nry(-0.1392) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.6076) q[0];\nry(0.8093) q[1];\nry(0.0562) q[2];\nry(0.3443) q[3];\nry(0.3916) q[4];\nry(0.8821) q[5];\nry(-0.0447) q[6];\nry(-0.1698) q[7];\nry(0.0499) q[8];\nry(0.5013) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0049) q[0];\nry(0.0004) q[1];\nry(0) q[2];\nry(0.0726) q[3];\nry(0.0261) q[4];\nry(0.2639) q[5];\nry(0.3002) q[6];\nry(0.3572) q[7];\nry(0.8867) q[8];\nry(0.8799) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.3358) q[0];\nry(0.8152) q[1];\nry(0.1025) q[2];\nry(0.2956) q[3];\nry(0.7583) q[4];\nry(0.87) q[5];\nry(-0.0167) q[6];\nry(0.8168) q[7];\nry(0.7888) q[8];\nry(0.2995) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0069) q[0];\nry(-0.0052) q[1];\nry(-0.0001) q[2];\nry(-0.0871) q[3];\nry(0.0133) q[4];\nry(0.086) q[5];\nry(0.2483) q[6];\nry(0.6418) q[7];\nry(-0.1376) q[8];\nry(0.0657) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.8896) q[0];\nry(0.8187) q[1];\nry(-0.0877) q[2];\nry(0.283) q[3];\nry(0.8974) q[4];\nry(0.8741) q[5];\nry(-0.4095) q[6];\nry(0.8741) q[7];\nry(0.2146) q[8];\nry(0.897) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.003) q[0];\nry(0.0004) q[1];\nry(-0.0035) q[2];\nry(0.0341) q[3];\nry(-0.0071) q[4];\nry(0.0291) q[5];\nry(0.0482) q[6];\nry(0.0432) q[7];\nry(0.4881) q[8];\nry(0.0646) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x17) q[7];\nry(x18) q[8];\nry(x19) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x30) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x38) q[8];\nry(x39) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x40) q[0];\nry(x41) q[1];\nry(x42) q[2];\nry(x43) q[3];\nry(x44) q[4];\nry(x45) q[5];\nry(x46) q[6];\nry(x47) q[7];\nry(x48) q[8];\nry(x49) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x50) q[0];\nry(x51) q[1];\nry(x52) q[2];\nry(x53) q[3];\nry(x54) q[4];\nry(x55) q[5];\nry(x56) q[6];\nry(x57) q[7];\nry(x58) q[8];\nry(x59) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x60) q[0];\nry(x61) q[1];\nry(x62) q[2];\nry(x63) q[3];\nry(x64) q[4];\nry(x65) q[5];\nry(x66) q[6];\nry(x65) q[7];\nry(x67) q[8];\nry(x68) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x69) q[0];\nry(x31) q[1];\nry(x70) q[2];\nry(x71) q[3];\nry(x72) q[4];\nry(x73) q[5];\nry(x74) q[6];\nry(x75) q[7];\nry(x76) q[8];\nry(x77) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4], \\\"right_nodes\\\": [5, 6, 7, 8, 9, 10, 11, 12]}\"}","{\"circuits\": [], \"gradients\": []}"]
["6843859788980291204","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[8, 1, 4, 6], [1, 10, 5, 7], [9, 5], [3, 4, 5], [8, 1, 9], [9, 4], [1, 10, 6, 9], [0, 10, 5], [8, 0], [0, 10, 6], [10, 2, 5, 6], [8, 10, 4, 5], [0, 9, 2, 3], [8, 2, 3, 5], [1, 3, 5], [3, 6], [8, 1, 5, 7], [0, 7], [9, 3, 7], [1, 2, 5], [2, 7]]}","{\"states\": [1989, 1987], \"expectation_value\": -4.956517414669538, \"params\": [1.5752000000000002, 1.5745, 1.5297, 1.6161, 1.5215, 1.6249, 1.5732000000000002, 1.5725, 2.5294000000000003, 0.6201, 2.38, 0.7732, 0.0091, -0.0149, -0.0023, -0.0023, 2.3977, 2.4461, 2.3431, 1.1919, 1.5775000000000001, 1.7508000000000001, -0.6092000000000001, 0.8264, 0.0033, -0.2495, 0.0081, 0.0019, 0.3956, 0.1932, -0.006, -0.0035, 0.1124, 0.0184, -0.0022, 3.0612000000000004, -0.0118, 0.10640000000000001, 2.6734, -0.0126, -0.8481000000000001, 0.5144000000000001, 0.8190000000000001, 2.8546], \"bitstrings\": [\"00000111010\", \"00000111100\"], \"total_optimization_steps\": 320, \"probabilities\": [0.4081684865216184, 0.5831788962351271], \"optimization_time\": 57.4084210395813}","0.3333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.08333333333333333 * (Z(10) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(4)) + 0.3333333333333333 * (Z(10) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.41666666666666663 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.25 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(6)) + 0.08333333333333333 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.41666666666666663 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(9)) + 0.5 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(10)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 1.0 * Z(1) + 0.6666666666666667 * Z(8) + 0.41666666666666663 * Z(4) + 0.541666666666667 * Z(6) + 0.833333333333333 * Z(10) + 1.2916666666666667 * Z(5) + 0.41666666666666674 * Z(7) + 0.5833333333333337 * Z(9) + 0.75 * Z(3) + 0.45833333333333326 * Z(0) + 0.5416666666666667 * Z(2)",14,11,1,"{\"smallest_eigenvalues\": [-5.166666666666666], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.083333333333331, \"smallest_bitstrings\": [\"00000111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(1.5752) q[0];\nry(1.5297) q[1];\nry(1.5215) q[2];\nry(1.5732) q[3];\nry(2.5294) q[4];\nry(2.38) q[5];\nry(0.0091) q[6];\nry(-0.0023) q[7];\nry(2.3977) q[8];\nry(2.3431) q[9];\nry(1.5775) q[10];\ncrx(-0.6092) q[10], q[0];\ncrx(0.819) q[9], q[10];\ncrx(-0.8481) q[8], q[9];\ncrx(2.6734) q[7], q[8];\ncrx(-0.0118) q[6], q[7];\ncrx(-0.0022) q[5], q[6];\ncrx(0.1124) q[4], q[5];\ncrx(-0.006) q[3], q[4];\ncrx(0.3956) q[2], q[3];\ncrx(0.0081) q[1], q[2];\ncrx(0.0033) q[0], q[1];\nry(1.5745) q[0];\nry(1.6161) q[1];\nry(1.6249) q[2];\nry(1.5725) q[3];\nry(0.6201) q[4];\nry(0.7732) q[5];\nry(-0.0149) q[6];\nry(-0.0023) q[7];\nry(2.4461) q[8];\nry(1.1919) q[9];\nry(1.7508) q[10];\ncrx(0.8264) q[10], q[9];\ncrx(-0.2495) q[0], q[10];\ncrx(0.0019) q[0], q[1];\ncrx(0.1932) q[1], q[2];\ncrx(-0.0035) q[2], q[3];\ncrx(0.0184) q[3], q[4];\ncrx(3.0612) q[4], q[5];\ncrx(0.1064) q[5], q[6];\ncrx(-0.0126) q[6], q[7];\ncrx(0.5144) q[7], q[8];\ncrx(2.8546) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrx(x11) q[10], q[0];\ncrx(x12) q[9], q[10];\ncrx(x13) q[8], q[9];\ncrx(x14) q[7], q[8];\ncrx(x15) q[6], q[7];\ncrx(x16) q[5], q[6];\ncrx(x17) q[4], q[5];\ncrx(x18) q[3], q[4];\ncrx(x19) q[2], q[3];\ncrx(x20) q[1], q[2];\ncrx(x21) q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x7) q[7];\nry(x29) q[8];\nry(x30) q[9];\nry(x31) q[10];\ncrx(x32) q[10], q[9];\ncrx(x33) q[0], q[10];\ncrx(x34) q[0], q[1];\ncrx(x35) q[1], q[2];\ncrx(x36) q[2], q[3];\ncrx(x37) q[3], q[4];\ncrx(x38) q[4], q[5];\ncrx(x39) q[5], q[6];\ncrx(x40) q[6], q[7];\ncrx(x41) q[7], q[8];\ncrx(x42) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["-5630324896410027397","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 1, 4], [2, 4, 5], [3, 4], [1, 2, 4]]}","{\"states\": [3, 19], \"expectation_value\": -1.274475019176333, \"params\": null, \"bitstrings\": [\"111100\", \"101100\"], \"total_optimization_steps\": 29, \"probabilities\": [0.07325995462494178, 0.5480476587441592], \"optimization_time\": 27.13864278793335}","0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * Z(1) + 0.16666666666666666 * Z(0) + 0.5000000000000001 * Z(4) + 0.3333333333333333 * Z(2) + 0.16666666666666666 * Z(5) + 0.0 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-1.5, -1.5, -1.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.166666666666667, \"smallest_bitstrings\": [\"000010\", \"101100\", \"010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.4449) q[4];\ncry(-1.4433) q[4], q[3];\ncry(-0.4036) q[2], q[5];\ncry(-0.4036) q[1], q[0];\ncry(-0.304) q[5], q[2];\nry(-0.1165) q[3];\ncry(-0.2713) q[0], q[1];\nry(0.2678) q[1];\ncry(-0.2901) q[1], q[2];\ncry(0.2588) q[4], q[1];\nry(0.2616) q[5];\ncry(-0.2388) q[4], q[0];\ncry(0.2749) q[5], q[1];\ncry(-0.2395) q[4], q[2];\ncry(0.3454) q[4], q[5];\nry(-0.2975) q[2];\ncry(0.3323) q[1], q[5];\ncry(0.0821) q[5], q[4];\ncry(-0.2611) q[5], q[0];\nry(-0.1589) q[0];\ncry(0.0615) q[0], q[5];\ncry(0.0427) q[0], q[4];\ncry(-0.0517) q[2], q[1];\ncry(0.0402) q[2], q[4];\ncry(0.0363) q[0], q[2];\ncry(0.0113) q[1], q[4];\ncry(-0.0136) q[5], q[3];\ncry(0.015) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":17931,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\ncry(-0.4036) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\ncry(-0.4036) q[2], q[5];\\ncry(-0.4036) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\ncry(-0.4036) q[2], q[5];\\ncry(-0.4036) q[1], q[0];\\ncry(-0.304) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\ncry(-0.4036) q[2], q[5];\\ncry(-0.4036) q[1], q[0];\\ncry(-0.304) q[5], q[2];\\nry(-0.1165) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\ncry(-0.4036) q[2], q[5];\\ncry(-0.4036) q[1], q[0];\\ncry(-0.304) q[5], q[2];\\nry(-0.1165) q[3];\\ncry(-0.2713) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\ncry(-0.4036) q[2], q[5];\\ncry(-0.4036) q[1], q[0];\\ncry(-0.304) q[5], q[2];\\nry(-0.1165) q[3];\\ncry(-0.2713) q[0], q[1];\\nry(0.2678) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\ncry(-0.4036) q[2], q[5];\\ncry(-0.4036) q[1], q[0];\\ncry(-0.304) q[5], q[2];\\nry(-0.1165) q[3];\\ncry(-0.2713) q[0], q[1];\\nry(0.2678) q[1];\\ncry(-0.2901) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\ncry(-0.4036) q[2], q[5];\\ncry(-0.4036) q[1], q[0];\\ncry(-0.304) q[5], q[2];\\nry(-0.1165) q[3];\\ncry(-0.2713) q[0], q[1];\\nry(0.2678) q[1];\\ncry(-0.2901) q[1], q[2];\\ncry(0.2588) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.4449) q[4];\\ncry(-1.4433) q[4], q[3];\\ncry(-0.4036) q[2], q[5];\\ncry(-0.4036) q[1], q[0];\\ncry(-0.304) q[5], q[2"}}]
["92e0d9744e7b0376f2c61fec7a621b77","community_detection","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 1, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 1, \"target\": 5}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 1, \"source\": 3, \"target\": 4}, {\"weight\": 1, \"source\": 3, \"target\": 5}, {\"weight\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [1642, 1386], \"expectation_value\": -1.2839907637525263, \"params\": null, \"bitstrings\": [\"100110010101\", \"101010010101\"], \"total_optimization_steps\": 100, \"probabilities\": [0.03787457367909165, 0.490642503860998], \"optimization_time\": 352.784793138504}","0.25 * (Z(0) @ Z(1)) + -0.0014030612244897958 * (Z(2) @ Z(0)) + -0.0014030612244897958 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002551020408163265 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.0002551020408163265 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0003826530612244898 * (Z(6) @ Z(0)) + 0.0011479591836734695 * (Z(6) @ Z(2)) + -0.001020408163265306 * (Z(6) @ Z(4)) + 0.0003826530612244898 * (Z(7) @ Z(1)) + 0.0011479591836734695 * (Z(7) @ Z(3)) + -0.001020408163265306 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.0002551020408163265 * (Z(8) @ Z(0)) + 0.0007653061224489796 * (Z(8) @ Z(2)) + 0.000510204081632653 * (Z(8) @ Z(4)) + -0.001020408163265306 * (Z(8) @ Z(6)) + 0.0002551020408163265 * (Z(9) @ Z(1)) + 0.0007653061224489796 * (Z(9) @ Z(3)) + 0.000510204081632653 * (Z(9) @ Z(5)) + -0.001020408163265306 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + 0.0003826530612244898 * (Z(10) @ Z(0)) + -0.0006377551020408162 * (Z(10) @ Z(2)) + 0.0007653061224489796 * (Z(10) @ Z(4)) + -0.0006377551020408162 * (Z(10) @ Z(6)) + -0.001020408163265306 * (Z(10) @ Z(8)) + 0.0003826530612244898 * (Z(11) @ Z(1)) + -0.0006377551020408162 * (Z(11) @ Z(3)) + 0.0007653061224489796 * (Z(11) @ Z(5)) + -0.0006377551020408162 * (Z(11) @ Z(7)) + -0.001020408163265306 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + -0.00012755102040817867 * Z(1) + -0.00012755102040817867 * Z(0) + -0.0011479591836734693 * Z(2) + -0.0011479591836734693 * Z(3) + -0.0005102040816326592 * Z(4) + -0.0005102040816326592 * Z(5) + -0.0011479591836734693 * Z(6) + -0.0011479591836734693 * Z(7) + -0.0005102040816326592 * Z(8) + -0.0005102040816326592 * Z(9) + -0.0011479591836734693 * Z(10) + -0.0011479591836734693 * Z(11)",1,12,1,"{\"smallest_eigenvalues\": [-1.5147959183673474, -1.5147959183673474], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.5107142857142857, \"smallest_bitstrings\": [\"010101101010\", \"101010010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-0.595) q[6], q[7];\ncry(-0.5954) q[10], q[11];\ncry(-0.595) q[3], q[2];\ncry(-0.5949) q[8], q[9];\ncry(-0.5943) q[5], q[4];\ncry(-0.5936) q[1], q[0];\ncry(-0.3762) q[7], q[6];\nry(0.3589) q[6];\ncry(-0.3759) q[11], q[10];\nry(0.3595) q[10];\ncry(-0.376) q[2], q[3];\nry(0.3596) q[3];\ncry(-0.3755) q[4], q[5];\nry(0.3611) q[5];\ncry(-0.375) q[0], q[1];\nry(0.3628) q[1];\ncry(-0.3745) q[9], q[8];\nry(0.3631) q[8];\ncry(0.1333) q[1], q[3];\nry(-0.1525) q[2];\ncry(0.1939) q[5], q[3];\ncry(-0.1592) q[5], q[2];\ncry(0.2007) q[8], q[3];\ncry(-0.1832) q[8], q[2];\ncry(0.2056) q[6], q[3];\ncry(-0.1921) q[6], q[2];\ncry(0.2021) q[10], q[3];\ncry(-0.1856) q[10], q[2];\ncry(0.1678) q[3], q[1];\ncry(-0.2116) q[3], q[0];\ncry(0.1838) q[8], q[1];\nry(-0.1961) q[0];\ncry(0.2404) q[10], q[1];\ncry(-0.1733) q[10], q[0];\ncry(0.2242) q[6], q[1];\ncry(-0.1773) q[6], q[0];\ncry(0.2048) q[5], q[1];\ncry(-0.1678) q[5], q[0];\ncry(-0.152) q[1], q[2];\ncry(0.169) q[1], q[8];\ncry(-0.222) q[1], q[9];\ncry(0.2316) q[3], q[8];\ncry(-0.2612) q[3], q[9];\ncry(0.2153) q[10], q[8];\nry(-0.1991) q[9];\ncry(0.2403) q[6], q[8];\ncry(0.1718) q[5], q[8];\ncry(-0.1801) q[6], q[9];\ncry(0.171) q[8], q[6];\ncry(-0.2292) q[8], q[7];\ncry(0.2393) q[1], q[6];\ncry(-0.2658) q[1], q[7];\ncry(0.259) q[3], q[6];\nry(-0.2368) q[7];\ncry(0.2112) q[10], q[6];\ncry(-0.1655) q[3], q[7];\ncry(0.1935) q[5], q[6];\ncry(0.1712) q[6], q[10];\ncry(-0.227) q[6], q[11];\ncry(0.2412) q[8], q[10];\ncry(-0.2694) q[8], q[11];\ncry(0.2629) q[1], q[10];\ncry(-0.2548) q[1], q[11];\ncry(0.2271) q[3], q[10];\nry(-0.1861) q[11];\ncry(-0.1473) q[10], q[9];\ncry(0.165) q[5], q[10];\ncry(0.1722) q[10], q[5];\ncry(-0.2238) q[10], q[4];\ncry(0.2424) q[6], q[5];\ncry(-0.2718) q[6], q[4];\ncry(0.2691) q[8], q[5];\nry(-0.2493) q[4];\ncry(0.2458) q[1], q[5];\ncry(-0.1953) q[8], q[4];\ncry(0.1736) q[3], q[5];\ncry(-0.1351) q[1], q[4];\ncry(-0.1371) q[8], q[0];\ncry(-0.1213) q[5], q[7];\ncry(-0.1137) q[5], q[11];\ncry(-0.0609) q[5], q[9];\ncry(-0.0551) q[3], q[4];\ncry(-0.0493) q[10], q[7];\ncry(0.0726) q[2], q[6];\ncry(0.0719) q[2], q[10];\ncry(-0.0504) q[3], q[11];\ncry(0.0698) q[2], q[8];\ncry(0.0635) q[2], q[5];\ncry(0.0587) q[2], q[1];\ncry(0.0578) q[0], q[5];\ncry(0.0576) q[0], q[6];\ncry(0.0563) q[0], q[10];\ncry(0.0539) q[0], q[3];\ncry(0.0521) q[0], q[8];\ncry(0.05) q[9], q[3];\ncry(0.0485) q[9], q[1];\ncry(0.0471) q[9], q[6];\ncry(0.0471) q[7], q[8];\ncry(0.0465) q[11], q[1];\ncry(0.0456) q[11], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"communities_size\": 3, \"number_of_communities\": 2}",{"$cut":{"chars":169590,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-0.595) q[6], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-0.595) q[6], q[7];\\ncry(-0.5954) q[10], q[11];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-0.595) q[6], q[7];\\ncry(-0.5954) q[10], q[11];\\ncry(-0.595) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-0.595) q[6], q[7];\\ncry(-0.5954) q[10], q[11];\\ncry(-0.595) q[3], q[2];\\ncry(-0.5949) q[8], q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-0.595) q[6], q[7];\\ncry(-0.5954) q[10], q[11];\\ncry(-0.595) q[3], q[2];\\ncry(-0.5949) q[8], q[9];\\ncry(-0.5943) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-0.595) q[6], q[7];\\ncry(-0.5954) q[10], q[11];\\ncry(-0.595) q[3], q[2];\\ncry(-0.5949) q[8], q[9];\\ncry(-0.5943) q[5], q[4];\\ncry(-0.5936) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-0.595) q[6], q[7];\\ncry(-0.5954) q[10], q[11];\\ncry(-0.595) q[3], q[2];\\ncry(-0.5949) q[8], q[9];\\ncry(-0.5943) q[5], q[4];\\ncry(-0.5936) q[1], q[0];\\ncry(-0.3762) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\ncry(-0.595) q[6], q[7];\\n"}}]
["2709643479563405023","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 2, 3, 4, 5, 6], [0, 1, 2, 3, 4, 5], [0, 1, 2, 3, 4, 6]]}","{\"states\": [103, 92], \"expectation_value\": -0.011025836001654507, \"params\": [[0.0712], [-0.06910000000000001]], \"bitstrings\": [\"0011000\", \"0100011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.007920559864780578, 0.007920592928857911], \"optimization_time\": 0.9515824317932129}","0.1 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(2)) + 0.06666666666666667 * (Z(5) @ Z(0)) + 0.06666666666666667 * (Z(5) @ Z(3)) + 0.06666666666666667 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(6) @ Z(2)) + 0.06666666666666667 * (Z(6) @ Z(0)) + 0.06666666666666667 * (Z(6) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.06666666666666667 * (Z(1) @ Z(2)) + 0.06666666666666667 * (Z(1) @ Z(0)) + 0.06666666666666667 * (Z(1) @ Z(3)) + 0.06666666666666667 * (Z(1) @ Z(4)) + 0.03333333333333333 * (Z(1) @ Z(5)) + 0.03333333333333333 * (Z(1) @ Z(6)) + 0.25 * Z(2) + 0.25 * Z(0) + 0.25 * Z(3) + 0.25 * Z(4) + 0.16666666666666666 * Z(5) + 0.16666666666666666 * Z(6) + 0.16666666666666666 * Z(1)",1,7,1,"{\"smallest_eigenvalues\": [-0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6], \"number_of_smallest_eigenvalues\": 7, \"first_excited_energy\": -0.5666666666666667, \"smallest_bitstrings\": [\"1001000\", \"0010100\", \"1000100\", \"0011000\", \"0100011\", \"1010000\", \"0001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(0.0142) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(0.0142) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(0.0142) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.0142) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.0142) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0142) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.0095) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.0095) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0095) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0095) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.0095) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0095) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0095) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0095) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0047) q[6];\ncx q[5], q[6];\ncx q[2], q[1];\nrz(0.0095) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(0.0095) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(0.0095) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0095) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(0.0047) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(0.0047) q[1];\ncx q[6], q[1];\nrz(0.0356) q[2];\nrz(0.0356) q[0];\nrz(0.0356) q[3];\nrz(0.0356) q[4];\nrz(0.0237) q[5];\nrz(0.0237) q[6];\nrz(0.0237) q[1];\nh q[0];\nrz(-0.1382) q[0];\nh q[0];\nh q[1];\nrz(-0.1382) q[1];\nh q[1];\nh q[2];\nrz(-0.1382) q[2];\nh q[2];\nh q[3];\nrz(-0.1382) q[3];\nh q[3];\nh q[4];\nrz(-0.1382) q[4];\nh q[4];\nh q[5];\nrz(-0.1382) q[5];\nh q[5];\nh q[6];\nrz(-0.1382) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x1) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x1) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x2) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x2) q[1];\ncx q[6], q[1];\nrz(x3) q[2];\nrz(x3) q[0];\nrz(x3) q[3];\nrz(x3) q[4];\nrz(x4) q[5];\nrz(x4) q[6];\nrz(x4) q[1];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["ec558389e30bd7bb5460c94de21a4e69","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 7}]}","{\"states\": [3877, 3885], \"expectation_value\": -3.036171749525633, \"params\": [[[1.2974, 0.0017000000000000001], [1.2989000000000002, -0.0009000000000000001], [1.2982, -0.0013000000000000002], [1.2961, 0.001], [0.6732, 0.3052], [-0.0019, 0.8308000000000001], [1.3032000000000001, -0.0017000000000000001], [0.2936, 0.49510000000000004], [0.7898000000000001, 0.14930000000000002], [1.3042, -0.0009000000000000001], [0.060500000000000005, 0.6265000000000001], [1.3042, -0.0016]], [[1.304, 0.0034000000000000002], [1.304, 0.0099], [1.2959, 0.0057], [1.3010000000000002, 0.0005], [0.6802, 0.00030000000000000003], [-0.0019, 0.001], [1.2972000000000001, 0.0029000000000000002], [0.2883, 0.0051], [0.7875000000000001, 0.0039000000000000003], [1.3082, 0.0048000000000000004], [0.0631, 0.0095], [1.2975, 0.0081]]], \"bitstrings\": [\"000011011010\", \"000011010010\"], \"total_optimization_steps\": 130, \"probabilities\": [0.16896518326668133, 0.16928108762984068], \"optimization_time\": 10.805342197418213}","0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(1)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(2)) + -0.0625 * (Z(0) @ Z(4) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(4) @ Z(1) @ Z(2)) + -0.0625 * (Z(4) @ Z(1) @ Z(3)) + -0.0625 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(4) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(4) @ Z(1) @ Z(3)) + 0.0625 * (Z(0) @ Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(4) @ Z(3) @ Z(2) @ Z(1)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(1) @ Z(7) @ Z(8)) + 0.25 * (Z(2) @ Z(9)) + 0.25 * (Z(2) @ Z(10)) + 0.25 * (Z(9) @ Z(10)) + -0.25 * (Z(2) @ Z(9) @ Z(10)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(7) @ Z(9)) + -0.25 * (Z(7) @ Z(3) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(4) @ Z(11)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(6) @ Z(11)) + 0.125 * (Z(11) @ Z(8)) + -0.125 * (Z(4) @ Z(6) @ Z(8)) + -0.125 * (Z(4) @ Z(6) @ Z(11)) + -0.125 * (Z(4) @ Z(11) @ Z(8)) + -0.125 * (Z(6) @ Z(11) @ Z(8)) + 0.125 * (Z(4) @ Z(6) @ Z(11) @ Z(8)) + 0.1875 * Z(0) + 0.1875 * Z(1) + 0.1875 * Z(2) + 0.1875 * Z(3) + 0.3125 * Z(4) + -0.75 * Z(5) + 0.125 * Z(6) + 0.0 * Z(7) + 0.125 * Z(8) + 0.0 * Z(9) + -0.25 * Z(10) + -0.125 * Z(11)",1,12,2,"{\"smallest_eigenvalues\": [-4.6875, -4.6875, -4.6875, -4.6875], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.6875, \"smallest_bitstrings\": [\"010001000101\", \"000011010010\", \"001001010001\", \"000101001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(1.2974) q[0];\nrz(0.0017) q[0];\nrx(1.2989) q[1];\nrz(-0.0009) q[1];\nrx(1.2982) q[2];\nrz(-0.0013) q[2];\nrx(1.2961) q[3];\nrz(0.001) q[3];\nrx(0.6732) q[4];\nrz(0.3052) q[4];\nrx(-0.0019) q[5];\nrz(0.8308) q[5];\nrx(1.3032) q[6];\nrz(-0.0017) q[6];\nrx(0.2936) q[7];\nrz(0.4951) q[7];\nrx(0.7898) q[8];\nrz(0.1493) q[8];\nrx(1.3042) q[9];\nrz(-0.0009) q[9];\nrx(0.0605) q[10];\nrz(0.6265) q[10];\nrx(1.3042) q[11];\nrz(-0.0016) q[11];\nrx(1.304) q[0];\nrz(0.0034) q[0];\nrx(1.304) q[1];\nrz(0.0099) q[1];\nrx(1.2959) q[2];\nrz(0.0057) q[2];\nrx(1.301) q[3];\nrz(0.0005) q[3];\nrx(0.6802) q[4];\nrz(0.0003) q[4];\nrx(-0.0019) q[5];\nrz(0.001) q[5];\nrx(1.2972) q[6];\nrz(0.0029) q[6];\nrx(0.2883) q[7];\nrz(0.0051) q[7];\nrx(0.7875) q[8];\nrz(0.0039) q[8];\nrx(1.3082) q[9];\nrz(0.0048) q[9];\nrx(0.0631) q[10];\nrz(0.0095) q[10];\nrx(1.2975) q[11];\nrz(0.0081) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x3) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\nrx(x18) q[11];\nrz(x21) q[11];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x22) q[1];\nrz(x24) q[1];\nrx(x25) q[2];\nrz(x26) q[2];\nrx(x27) q[3];\nrz(x28) q[3];\nrx(x29) q[4];\nrz(x30) q[4];\nrx(x10) q[5];\nrz(x7) q[5];\nrx(x31) q[6];\nrz(x32) q[6];\nrx(x33) q[7];\nrz(x34) q[7];\nrx(x35) q[8];\nrz(x36) q[8];\nrx(x37) q[9];\nrz(x38) q[9];\nrx(x39) q[10];\nrz(x40) q[10];\nrx(x41) q[11];\nrz(x42) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["74a9039e61abdfc370e0e9ccbda58085","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 4, \"target\": 5}]}","{\"states\": [33, 34], \"expectation_value\": -2.5990800713440496, \"params\": null, \"bitstrings\": [\"011110\", \"011101\"], \"total_optimization_steps\": 17, \"probabilities\": [0.07397724748225105, 0.9005658146173622], \"optimization_time\": 16.373762369155884}","0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.125 * Z(0) + -0.5 * Z(1) + -0.625 * Z(3) + -0.125 * Z(4) + -0.625 * Z(2) + -0.5 * Z(5)",1,6,2,"{\"smallest_eigenvalues\": [-2.625, -2.625, -2.625], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.625, \"smallest_bitstrings\": [\"011110\", \"101101\", \"011101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5158) q[3];\nry(-1.4449) q[1];\nry(-1.445) q[2];\nry(1.4417) q[0];\ncry(-1.0398) q[4], q[5];\nry(0.7022) q[4];\nry(-0.4577) q[5];\ncry(0.4969) q[0], q[4];\ncry(-0.3761) q[0], q[5];\ncry(-0.1216) q[0], q[1];\ncry(-0.1186) q[0], q[2];\ncry(0.1095) q[4], q[0];\ncry(-0.0519) q[0], q[3];\ncry(-0.0705) q[5], q[4];\ncry(0.029) q[5], q[0];\ncry(-0.007) q[4], q[2];\ncry(-0.0043) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\ncry(-0.3761) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\ncry(-0.3761) q[0], q[5];\\ncry(-0.1216) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\ncry(-0.3761) q[0], q[5];\\ncry(-0.1216) q[0], q[1];\\ncry(-0.1186) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\ncry(-0.3761) q[0], q[5];\\ncry(-0.1216) q[0], q[1];\\ncry(-0.1186) q[0], q[2];\\ncry(0.1095) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\ncry(-0.3761) q[0], q[5];\\ncry(-0.1216) q[0], q[1];\\ncry(-0.1186) q[0], q[2];\\ncry(0.1095) q[4], q[0];\\ncry(-0.0519) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\ncry(-0.3761) q[0], q[5];\\ncry(-0.1216) q[0], q[1];\\ncry(-0.1186) q[0], q[2];\\ncry(0.1095) q[4], q[0];\\ncry(-0.0519) q[0], q[3];\\ncry(-0.0705) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\ncry(-0.3761) q[0], q[5];\\ncry(-0.1216) q[0], q[1];\\ncry(-0.1186) q[0], q[2];\\ncry(0.1095) q[4], q[0];\\ncry(-0.0519) q[0], q[3];\\ncry(-0.0705) q[5], q[4];\\ncry(0.029) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\ncry(-0.3761) q[0], q[5];\\ncry(-0.1216) q[0], q[1];\\ncry(-0.1186) q[0], q[2];\\ncry(0.1095) q[4], q[0];\\ncry(-0.0519) q[0], q[3];\\ncry(-0.0705) q[5], q[4];\\ncry(0.029) q[5], q[0];\\ncry(-0.007) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[3];\\nry(-1.4449) q[1];\\nry(-1.445) q[2];\\nry(1.4417) q[0];\\ncry(-1.0398) q[4], q[5];\\nry(0.7022) q[4];\\nry(-0.4577) q[5];\\ncry(0.4969) q[0], q[4];\\ncry(-0.3761) q[0], q[5];\\ncry(-0.1216) q[0], q[1];\\ncry(-0.1186) q[0], q[2];\\ncry(0.1095) q[4], q[0];\\ncry(-0.0519) q[0], q[3];\\ncry(-0.0705) q[5], q[4];\\ncry(0.029) q[5], q[0];\\ncry(-0.007) q[4], q[2];\\ncry(-0.0043) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [0.6276, 0.5035, 0.5, 0.4959, 0.2527, 0.2469, 0.1905, 0.2251, 0.1875, 0.0732, 0.0635, 0.0531, 0.0284, 0.0153, 0.0063, 0.0039, 0.0026]}"]
["23529db270bae4def52806aeae1d449e","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 9, \"target\": 10}]}","{\"states\": [187, 1019], \"expectation_value\": -12.167323842533756, \"params\": null, \"bitstrings\": [\"1101000100\", \"0000000100\"], \"total_optimization_steps\": 100, \"probabilities\": [0.09907615160858281, 0.4990373322593751], \"optimization_time\": 145.89254021644592}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) + -0.5 * Z(7)",5,10,1,"{\"smallest_eigenvalues\": [-14.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.5, \"smallest_bitstrings\": [\"0000000100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5681) q[8], q[9];\nry(1.0829) q[8];\ncry(1.5701) q[9], q[2];\nry(0.3995) q[9];\ncry(1.5681) q[5], q[6];\nry(1.0829) q[5];\ncry(1.5701) q[6], q[4];\ncry(0.4303) q[4], q[6];\ncry(1.5681) q[1], q[3];\ncry(1.5708) q[3], q[0];\ncry(1.2536) q[0], q[1];\ncry(0.4771) q[0], q[3];\nry(-0.1694) q[0];\nry(-1.4449) q[7];\ncry(0.1694) q[1], q[0];\ncry(-0.1561) q[4], q[0];\ncry(0.129) q[3], q[1];\ncry(0.2641) q[4], q[5];\ncry(0.2867) q[9], q[8];\nry(0.0671) q[6];\ncry(0.0932) q[8], q[2];\nry(-0.0689) q[2];\nry(-0.0534) q[4];\ncry(0.0666) q[5], q[4];\ncry(-0.0659) q[2], q[4];\ncry(-0.0534) q[4], q[8];\ncry(-0.02) q[4], q[9];\ncry(0.0269) q[2], q[9];\ncry(-0.0255) q[0], q[9];\ncry(-0.0184) q[2], q[0];\ncry(-0.1151) q[2], q[7];\ncry(0.043) q[6], q[5];\ncry(-0.0416) q[2], q[5];\ncry(-0.0211) q[2], q[6];\nry(-0.0083) q[3];\ncry(0.017) q[6], q[0];\ncry(-0.0143) q[8], q[0];\ncry(-0.0177) q[0], q[8];\ncry(0.0351) q[2], q[8];\ncry(-0.034) q[3], q[8];\nry(-0.0023) q[1];\ncry(-0.0167) q[0], q[5];\ncry(-0.006) q[5], q[9];\ncry(-0.0143) q[0], q[4];\ncry(-0.0066) q[0], q[6];\ncry(-0.0112) q[4], q[2];\ncry(-0.0236) q[4], q[7];\ncry(-0.0005) q[4], q[3];\ncry(-0.0002) q[4], q[1];\ncry(0.0066) q[5], q[0];\ncry(-0.005) q[9], q[0];\ncry(-0.0001) q[2], q[3];\ncry(-0.0062) q[5], q[8];\ncry(-0.0031) q[3], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"node\": 7}",{"$cut":{"chars":123895,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5681) q[8], q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5681) q[8], q[9];\\nry(1.0829) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5681) q[8], q[9];\\nry(1.0829) q[8];\\ncry(1.5701) q[9], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5681) q[8], q[9];\\nry(1.0829) q[8];\\ncry(1.5701) q[9], q[2];\\nry(0.3995) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5681) q[8], q[9];\\nry(1.0829) q[8];\\ncry(1.5701) q[9], q[2];\\nry(0.3995) q[9];\\ncry(1.5681) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5681) q[8], q[9];\\nry(1.0829) q[8];\\ncry(1.5701) q[9], q[2];\\nry(0.3995) q[9];\\ncry(1.5681) q[5], q[6];\\nry(1.0829) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5681) q[8], q[9];\\nry(1.0829) q[8];\\ncry(1.5701) q[9], q[2];\\nry(0.3995) q[9];\\ncry(1.5681) q[5], q[6];\\nry(1.0829) q[5];\\ncry(1.5701) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5681) q[8], q[9];\\nry(1.0829) q[8];\\ncry(1.5701) q[9], q[2];\\nry(0.3995) q[9];\\ncry(1.5681) q[5], q[6];\\nry(1.0829) q[5];\\ncry(1.5701) q[6], q[4];\\ncry(0.4303) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(1.5681) q[8], q[9];\\nry(1.0829) q[8];\\ncry(1.5701) q[9], q[2];\\nry(0"}}]
["0736b1161a5a600a3b5b1b2ae725bcb7","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 3, \"source\": 1, \"target\": 8}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 7}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 2, \"source\": 7, \"target\": 4}, {\"capacity\": 1, \"source\": 7, \"target\": 5}]}","{\"states\": [1, 193], \"expectation_value\": -12.001085284107736, \"params\": null, \"bitstrings\": [\"111111110\", \"100111110\"], \"total_optimization_steps\": 48, \"probabilities\": [0.24863352149728243, 0.7512270183743586], \"optimization_time\": 68.36865425109863}","-0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(7)) + -2.25 * Z(6) + -0.25 * Z(0) + 1.25 * Z(1) + -0.25 * Z(3) + -0.5 * Z(7) + 0.0 * Z(8) + 1.25 * Z(2) + -0.25 * Z(5) + 1.0 * Z(4)",1,9,2,"{\"smallest_eigenvalues\": [-12.25, -12.25, -12.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -11.25, \"smallest_bitstrings\": [\"100000000\", \"100000100\", \"100111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[6];\nry(-1.5708) q[5];\nry(-1.5708) q[3];\nry(-1.5708) q[7];\nry(-1.5708) q[4];\nry(-1.5681) q[0];\nry(1.5681) q[8];\ncry(1.4449) q[2], q[1];\ncry(1.218) q[1], q[2];\ncry(0.0842) q[8], q[1];\ncry(0.0496) q[8], q[2];\nry(0.0369) q[1];\nry(0.0274) q[2];\ncry(-0.0027) q[8], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"source\": 0, \"sink\": 8}",{"$cut":{"chars":29127,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5708) q[3];\\nry(-1.5708) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5708) q[3];\\nry(-1.5708) q[7];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5708) q[3];\\nry(-1.5708) q[7];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5708) q[3];\\nry(-1.5708) q[7];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5681) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5708) q[3];\\nry(-1.5708) q[7];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5681) q[8];\\ncry(1.4449) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[6];\\nry(-1.5708) q[5];\\nry(-1.5708) q[3];\\nry(-1.5708) q[7];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5681) q[8];\\ncry(1.4449) q[2], q[1];\\ncry(1.218) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0"}}]
["-886647577428346885","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[8, 1, 6], [1, 3], [8, 2], [2, 11], [8, 0, 6], [0, 10, 4], [1, 5], [8, 11, 7], [11, 3], [5, 7], [9, 1], [1, 2], [0, 10, 7]]}","{\"states\": [3878, 3366], \"expectation_value\": -4.858596203861613, \"params\": [[0.0731, 0.8868, 0.0159, 1.8025, 0.0016, 0.0023, 2.0622000000000003, 0.0014, -0.2983, 0.23420000000000002, 0.8268000000000001, -0.0019], [2.3012, 2.2532, 1.478, 1.3443, 0.0025, 0.0024000000000000002, 1.0896000000000001, 0.0032, 0.32780000000000004, 2.3029, 2.2867, -0.0019]], \"bitstrings\": [\"000011011001\", \"001011011001\"], \"total_optimization_steps\": 230, \"probabilities\": [0.33763629318670185, 0.4084583625510124], \"optimization_time\": 9.358178615570068}","0.16666666666666666 * (Z(10) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(8) @ Z(10)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(10)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(11) @ Z(1)) + 0.16666666666666652 * Z(1) + 0.5000000000000003 * Z(10) + 0.3333333333333333 * Z(8) + 0.0 * Z(5) + 0.0 * Z(4) + 0.16666666666666674 * Z(3) + 0.4999999999999999 * Z(0) + 0.3333333333333333 * Z(2) + 0.16666666666666666 * Z(6) + 0.0 * Z(7) + 0.33333333333333326 * Z(9) + 0.0 * Z(11)",10,12,1,"{\"smallest_eigenvalues\": [-5.333333333333335], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.000000000000001, \"smallest_bitstrings\": [\"001011011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.0731) q[0];\nry(0.8868) q[1];\nry(0.0159) q[2];\nry(1.8025) q[3];\nry(0.0016) q[4];\nry(0.0023) q[5];\nry(2.0622) q[6];\nry(0.0014) q[7];\nry(-0.2983) q[8];\nry(0.2342) q[9];\nry(0.8268) q[10];\nry(-0.0019) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(2.3012) q[0];\nry(2.2532) q[1];\nry(1.478) q[2];\nry(1.3443) q[3];\nry(0.0025) q[4];\nry(0.0024) q[5];\nry(1.0896) q[6];\nry(0.0032) q[7];\nry(0.3278) q[8];\nry(2.3029) q[9];\nry(2.2867) q[10];\nry(-0.0019) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(x12) q[0];\nry(x13) q[1];\nry(x14) q[2];\nry(x15) q[3];\nry(x16) q[4];\nry(x17) q[5];\nry(x18) q[6];\nry(x19) q[7];\nry(x20) q[8];\nry(x21) q[9];\nry(x22) q[10];\nry(x11) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["422319ba04d136ad73513dac1d0065c7","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [1653, 1767], \"expectation_value\": -11.820373282054835, \"params\": [[-0.10200000000000001, -0.2364, -0.4132, -0.5961000000000001], [0.6437, 0.35900000000000004, 0.1888, 0.1358]], \"bitstrings\": [\"100110001010\", \"100100011000\"], \"total_optimization_steps\": 80, \"probabilities\": [0.051199833110038895, 0.05625508504806338], \"optimization_time\": 19.396726369857788}","-1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(9)) + 0.375 * (Z(2) @ Z(1)) + 1.0 * Z(4) + -1.0 * Z(8) + 4.0 * Z(5) + 4.0 * Z(6) + 1.5 * Z(7) + -0.625 * Z(0) + 3.0 * Z(9) + 0.5 * Z(10) + 2.25 * Z(1) + 2.25 * Z(2) + 0.5 * Z(11) + -0.125 * Z(3)",1,12,4,"{\"smallest_eigenvalues\": [-12.875, -12.875, -12.875], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -12.625, \"smallest_bitstrings\": [\"100110001010\", \"100100011000\", \"100100000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[4], q[8];\nrz(0.204) q[8];\ncx q[4], q[8];\ncx q[4], q[5];\nrz(-0.102) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(0.102) q[5];\ncx q[8], q[5];\ncx q[4], q[6];\nrz(-0.102) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(0.102) q[6];\ncx q[8], q[6];\ncx q[5], q[6];\nrz(-0.204) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.102) q[7];\ncx q[4], q[7];\ncx q[8], q[7];\nrz(0.102) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(-0.102) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.102) q[7];\ncx q[6], q[7];\ncx q[4], q[0];\nrz(-0.102) q[0];\ncx q[4], q[0];\ncx q[8], q[0];\nrz(0.102) q[0];\ncx q[8], q[0];\ncx q[4], q[9];\nrz(0.102) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(-0.102) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(-0.102) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(-0.102) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(0.102) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(0.102) q[10];\ncx q[4], q[10];\ncx q[8], q[10];\nrz(-0.102) q[10];\ncx q[8], q[10];\ncx q[0], q[10];\nrz(0.102) q[10];\ncx q[0], q[10];\ncx q[9], q[10];\nrz(-0.102) q[10];\ncx q[9], q[10];\ncx q[5], q[1];\nrz(-0.102) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(-0.102) q[1];\ncx q[6], q[1];\ncx q[9], q[1];\nrz(-0.102) q[1];\ncx q[9], q[1];\ncx q[5], q[2];\nrz(-0.102) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(-0.102) q[2];\ncx q[6], q[2];\ncx q[9], q[2];\nrz(-0.102) q[2];\ncx q[9], q[2];\ncx q[1], q[2];\nrz(-0.0765) q[2];\ncx q[1], q[2];\nrz(-0.204) q[4];\nrz(0.204) q[8];\nrz(-0.816) q[5];\nrz(-0.816) q[6];\nrz(-0.306) q[7];\nrz(0.1275) q[0];\nrz(-0.612) q[9];\nrz(-0.102) q[10];\nrz(-0.459) q[1];\nrz(-0.459) q[2];\nrz(-0.102) q[11];\nrz(0.0255) q[3];\nh q[0];\nrz(1.2874) q[0];\nh q[0];\nh q[1];\nrz(1.2874) q[1];\nh q[1];\nh q[2];\nrz(1.2874) q[2];\nh q[2];\nh q[3];\nrz(1.2874) q[3];\nh q[3];\nh q[4];\nrz(1.2874) q[4];\nh q[4];\nh q[5];\nrz(1.2874) q[5];\nh q[5];\nh q[6];\nrz(1.2874) q[6];\nh q[6];\nh q[7];\nrz(1.2874) q[7];\nh q[7];\nh q[8];\nrz(1.2874) q[8];\nh q[8];\nh q[9];\nrz(1.2874) q[9];\nh q[9];\nh q[10];\nrz(1.2874) q[10];\nh q[10];\nh q[11];\nrz(1.2874) q[11];\nh q[11];\ncx q[4], q[8];\nrz(0.4728) q[8];\ncx q[4], q[8];\ncx q[4], q[5];\nrz(-0.2364) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(0.2364) q[5];\ncx q[8], q[5];\ncx q[4], q[6];\nrz(-0.2364) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(0.2364) q[6];\ncx q[8], q[6];\ncx q[5], q[6];\nrz(-0.4728) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.2364) q[7];\ncx q[4], q[7];\ncx q[8], q[7];\nrz(0.2364) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(-0.2364) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.2364) q[7];\ncx q[6], q[7];\ncx q[4], q[0];\nrz(-0.2364) q[0];\ncx q[4], q[0];\ncx q[8], q[0];\nrz(0.2364) q[0];\ncx q[8], q[0];\ncx q[4], q[9];\nrz(0.2364) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(-0.2364) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(-0.2364) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(-0.2364) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(0.2364) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(0.2364) q[10];\ncx q[4], q[10];\ncx q[8], q[10];\nrz(-0.2364) q[10];\ncx q[8], q[10];\ncx q[0], q[10];\nrz(0.2364) q[10];\ncx q[0], q[10];\ncx q[9], q[10];\nrz(-0.2364) q[10];\ncx q[9], q[10];\ncx q[5], q[1];\nrz(-0.2364) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(-0.2364) q[1];\ncx q[6], q[1];\ncx q[9], q[1];\nrz(-0.2364) q[1];\ncx q[9], q[1];\ncx q[5], q[2];\nrz(-0.2364) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(-0.2364) q[2];\ncx q[6], q[2];\ncx q[9], q[2];\nrz(-0.2364) q[2];\ncx q[9], q[2];\ncx q[1], q[2];\nrz(-0.1773) q[2];\ncx q[1], q[2];\nrz(-0.4728) q[4];\nrz(0.4728) q[8];\nrz(-1.8912) q[5];\nrz(-1.8912) q[6];\nrz(-0.7092) q[7];\nrz(0.2955) q[0];\nrz(-1.4184) q[9];\nrz(-0.2364) q[10];\nrz(-1.0638) q[1];\nrz(-1.0638) q[2];\nrz(-0.2364) q[11];\nrz(0.0591) q[3];\nh q[0];\nrz(0.718) q[0];\nh q[0];\nh q[1];\nrz(0.718) q[1];\nh q[1];\nh q[2];\nrz(0.718) q[2];\nh q[2];\nh q[3];\nrz(0.718) q[3];\nh q[3];\nh q[4];\nrz(0.718) q[4];\nh q[4];\nh q[5];\nrz(0.718) q[5];\nh q[5];\nh q[6];\nrz(0.718) q[6];\nh q[6];\nh q[7];\nrz(0.718) q[7];\nh q[7];\nh q[8];\nrz(0.718) q[8];\nh q[8];\nh q[9];\nrz(0.718) q[9];\nh q[9];\nh q[10];\nrz(0.718) q[10];\nh q[10];\nh q[11];\nrz(0.718) q[11];\nh q[11];\ncx q[4], q[8];\nrz(0.8264) q[8];\ncx q[4], q[8];\ncx q[4], q[5];\nrz(-0.4132) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(0.4132) q[5];\ncx q[8], q[5];\ncx q[4], q[6];\nrz(-0.4132) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(0.4132) q[6];\ncx q[8], q[6];\ncx q[5], q[6];\nrz(-0.8264) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.4132) q[7];\ncx q[4], q[7];\ncx q[8], q[7];\nrz(0.4132) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(-0.4132) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.4132) q[7];\ncx q[6], q[7];\ncx q[4], q[0];\nrz(-0.4132) q[0];\ncx q[4], q[0];\ncx q[8], q[0];\nrz(0.4132) q[0];\ncx q[8], q[0];\ncx q[4], q[9];\nrz(0.4132) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(-0.4132) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(-0.4132) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(-0.4132) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(0.4132) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(0.4132) q[10];\ncx q[4], q[10];\ncx q[8], q[10];\nrz(-0.4132) q[10];\ncx q[8], q[10];\ncx q[0], q[10];\nrz(0.4132) q[10];\ncx q[0], q[10];\ncx q[9], q[10];\nrz(-0.4132) q[10];\ncx q[9], q[10];\ncx q[5], q[1];\nrz(-0.4132) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(-0.4132) q[1];\ncx q[6], q[1];\ncx q[9], q[1];\nrz(-0.4132) q[1];\ncx q[9], q[1];\ncx q[5], q[2];\nrz(-0.4132) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(-0.4132) q[2];\ncx q[6], q[2];\ncx q[9], q[2];\nrz(-0.4132) q[2];\ncx q[9], q[2];\ncx q[1], q[2];\nrz(-0.3099) q[2];\ncx q[1], q[2];\nrz(-0.8264) q[4];\nrz(0.8264) q[8];\nrz(-3.3056) q[5];\nrz(-3.3056) q[6];\nrz(-1.2396) q[7];\nrz(0.5165) q[0];\nrz(-2.4792) q[9];\nrz(-0.4132) q[10];\nrz(-1.8594) q[1];\nrz(-1.8594) q[2];\nrz(-0.4132) q[11];\nrz(0.1033) q[3];\nh q[0];\nrz(0.3776) q[0];\nh q[0];\nh q[1];\nrz(0.3776) q[1];\nh q[1];\nh q[2];\nrz(0.3776) q[2];\nh q[2];\nh q[3];\nrz(0.3776) q[3];\nh q[3];\nh q[4];\nrz(0.3776) q[4];\nh q[4];\nh q[5];\nrz(0.3776) q[5];\nh q[5];\nh q[6];\nrz(0.3776) q[6];\nh q[6];\nh q[7];\nrz(0.3776) q[7];\nh q[7];\nh q[8];\nrz(0.3776) q[8];\nh q[8];\nh q[9];\nrz(0.3776) q[9];\nh q[9];\nh q[10];\nrz(0.3776) q[10];\nh q[10];\nh q[11];\nrz(0.3776) q[11];\nh q[11];\ncx q[4], q[8];\nrz(1.1922) q[8];\ncx q[4], q[8];\ncx q[4], q[5];\nrz(-0.5961) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(0.5961) q[5];\ncx q[8], q[5];\ncx q[4], q[6];\nrz(-0.5961) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(0.5961) q[6];\ncx q[8], q[6];\ncx q[5], q[6];\nrz(-1.1922) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.5961) q[7];\ncx q[4], q[7];\ncx q[8], q[7];\nrz(0.5961) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(-0.5961) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.5961) q[7];\ncx q[6], q[7];\ncx q[4], q[0];\nrz(-0.5961) q[0];\ncx q[4], q[0];\ncx q[8], q[0];\nrz(0.5961) q[0];\ncx q[8], q[0];\ncx q[4], q[9];\nrz(0.5961) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(-0.5961) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(-0.5961) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(-0.5961) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(0.5961) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(0.5961) q[10];\ncx q[4], q[10];\ncx q[8], q[10];\nrz(-0.5961) q[10];\ncx q[8], q[10];\ncx q[0], q[10];\nrz(0.5961) q[10];\ncx q[0], q[10];\ncx q[9], q[10];\nrz(-0.5961) q[10];\ncx q[9], q[10];\ncx q[5], q[1];\nrz(-0.5961) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(-0.5961) q[1];\ncx q[6], q[1];\ncx q[9], q[1];\nrz(-0.5961) q[1];\ncx q[9], q[1];\ncx q[5], q[2];\nrz(-0.5961) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(-0.5961) q[2];\ncx q[6], q[2];\ncx q[9], q[2];\nrz(-0.5961) q[2];\ncx q[9], q[2];\ncx q[1], q[2];\nrz(-0.4471) q[2];\ncx q[1], q[2];\nrz(-1.1922) q[4];\nrz(1.1922) q[8];\nrz(-4.7688) q[5];\nrz(-4.7688) q[6];\nrz(-1.7883) q[7];\nrz(0.7451) q[0];\nrz(-3.5766) q[9];\nrz(-0.5961) q[10];\nrz(-2.6825) q[1];\nrz(-2.6825) q[2];\nrz(-0.5961) q[11];\nrz(0.149) q[3];\nh q[0];\nrz(0.2716) q[0];\nh q[0];\nh q[1];\nrz(0.2716) q[1];\nh q[1];\nh q[2];\nrz(0.2716) q[2];\nh q[2];\nh q[3];\nrz(0.2716) q[3];\nh q[3];\nh q[4];\nrz(0.2716) q[4];\nh q[4];\nh q[5];\nrz(0.2716) q[5];\nh q[5];\nh q[6];\nrz(0.2716) q[6];\nh q[6];\nh q[7];\nrz(0.2716) q[7];\nh q[7];\nh q[8];\nrz(0.2716) q[8];\nh q[8];\nh q[9];\nrz(0.2716) q[9];\nh q[9];\nh q[10];\nrz(0.2716) q[10];\nh q[10];\nh q[11];\nrz(0.2716) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(x2) q[5];\ncx q[8], q[5];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(x2) q[6];\ncx q[8], q[6];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[8], q[7];\nrz(x2) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(x1) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[4], q[0];\nrz(x1) q[0];\ncx q[4], q[0];\ncx q[8], q[0];\nrz(x2) q[0];\ncx q[8], q[0];\ncx q[4], q[9];\nrz(x2) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(x1) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(x1) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(x1) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(x2) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(x2) q[10];\ncx q[4], q[10];\ncx q[8], q[10];\nrz(x1) q[10];\ncx q[8], q[10];\ncx q[0], q[10];\nrz(x2) q[10];\ncx q[0], q[10];\ncx q[9], q[10];\nrz(x1) q[10];\ncx q[9], q[10];\ncx q[5], q[1];\nrz(x1) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x1) q[1];\ncx q[6], q[1];\ncx q[9], q[1];\nrz(x1) q[1];\ncx q[9], q[1];\ncx q[5], q[2];\nrz(x1) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[9], q[2];\nrz(x1) q[2];\ncx q[9], q[2];\ncx q[1], q[2];\nrz(x4) q[2];\ncx q[1], q[2];\nrz(x3) q[4];\nrz(x0) q[8];\nrz(x5) q[5];\nrz(x5) q[6];\nrz(x6) q[7];\nrz(x7) q[0];\nrz(x8) q[9];\nrz(x1) q[10];\nrz(x9) q[1];\nrz(x9) q[2];\nrz(x1) q[11];\nrz(x10) q[3];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\nh q[9];\nrz(x11) q[9];\nh q[9];\nh q[10];\nrz(x11) q[10];\nh q[10];\nh q[11];\nrz(x11) q[11];\nh q[11];\ncx q[4], q[8];\nrz(x12) q[8];\ncx q[4], q[8];\ncx q[4], q[5];\nrz(x13) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(x14) q[5];\ncx q[8], q[5];\ncx q[4], q[6];\nrz(x13) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(x14) q[6];\ncx q[8], q[6];\ncx q[5], q[6];\nrz(x15) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x13) q[7];\ncx q[4], q[7];\ncx q[8], q[7];\nrz(x14) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(x13) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x13) q[7];\ncx q[6], q[7];\ncx q[4], q[0];\nrz(x13) q[0];\ncx q[4], q[0];\ncx q[8], q[0];\nrz(x14) q[0];\ncx q[8], q[0];\ncx q[4], q[9];\nrz(x14) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(x13) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(x13) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(x13) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(x14) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(x14) q[10];\ncx q[4], q[10];\ncx q[8], q[10];\nrz(x13) q[10];\ncx q[8], q[10];\ncx q[0], q[10];\nrz(x14) q[10];\ncx q[0], q[10];\ncx q[9], q[10];\nrz(x13) q[10];\ncx q[9], q[10];\ncx q[5], q[1];\nrz(x13) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x13) q[1];\ncx q[6], q[1];\ncx q[9], q[1];\nrz(x13) q[1];\ncx q[9], q[1];\ncx q[5], q[2];\nrz(x13) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(x13) q[2];\ncx q[6], q[2];\ncx q[9], q[2];\nrz(x13) q[2];\ncx q[9], q[2];\ncx q[1], q[2];\nrz(x16) q[2];\ncx q[1], q[2];\nrz(x15) q[4];\nrz(x12) q[8];\nrz(x17) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nrz(x19) q[0];\nrz(x20) q[9];\nrz(x13) q[10];\nrz(x21) q[1];\nrz(x21) q[2];\nrz(x13) q[11];\nrz(x22) q[3];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nh q[8];\nrz(x23) q[8];\nh q[8];\nh q[9];\nrz(x23) q[9];\nh q[9];\nh q[10];\nrz(x23) q[10];\nh q[10];\nh q[11];\nrz(x23) q[11];\nh q[11];\ncx q[4], q[8];\nrz(x24) q[8];\ncx q[4], q[8];\ncx q[4], q[5];\nrz(x25) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(x26) q[5];\ncx q[8], q[5];\ncx q[4], q[6];\nrz(x25) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(x26) q[6];\ncx q[8], q[6];\ncx q[5], q[6];\nrz(x27) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x25) q[7];\ncx q[4], q[7];\ncx q[8], q[7];\nrz(x26) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(x25) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x25) q[7];\ncx q[6], q[7];\ncx q[4], q[0];\nrz(x25) q[0];\ncx q[4], q[0];\ncx q[8], q[0];\nrz(x26) q[0];\ncx q[8], q[0];\ncx q[4], q[9];\nrz(x26) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(x25) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(x25) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(x25) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(x26) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(x26) q[10];\ncx q[4], q[10];\ncx q[8], q[10];\nrz(x25) q[10];\ncx q[8], q[10];\ncx q[0], q[10];\nrz(x26) q[10];\ncx q[0], q[10];\ncx q[9], q[10];\nrz(x25) q[10];\ncx q[9], q[10];\ncx q[5], q[1];\nrz(x25) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x25) q[1];\ncx q[6], q[1];\ncx q[9], q[1];\nrz(x25) q[1];\ncx q[9], q[1];\ncx q[5], q[2];\nrz(x25) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(x25) q[2];\ncx q[6], q[2];\ncx q[9], q[2];\nrz(x25) q[2];\ncx q[9], q[2];\ncx q[1], q[2];\nrz(x28) q[2];\ncx q[1], q[2];\nrz(x27) q[4];\nrz(x24) q[8];\nrz(x29) q[5];\nrz(x29) q[6];\nrz(x30) q[7];\nrz(x31) q[0];\nrz(x32) q[9];\nrz(x25) q[10];\nrz(x33) q[1];\nrz(x33) q[2];\nrz(x25) q[11];\nrz(x34) q[3];\nh q[0];\nrz(x35) q[0];\nh q[0];\nh q[1];\nrz(x35) q[1];\nh q[1];\nh q[2];\nrz(x35) q[2];\nh q[2];\nh q[3];\nrz(x35) q[3];\nh q[3];\nh q[4];\nrz(x35) q[4];\nh q[4];\nh q[5];\nrz(x35) q[5];\nh q[5];\nh q[6];\nrz(x35) q[6];\nh q[6];\nh q[7];\nrz(x35) q[7];\nh q[7];\nh q[8];\nrz(x35) q[8];\nh q[8];\nh q[9];\nrz(x35) q[9];\nh q[9];\nh q[10];\nrz(x35) q[10];\nh q[10];\nh q[11];\nrz(x35) q[11];\nh q[11];\ncx q[4], q[8];\nrz(x36) q[8];\ncx q[4], q[8];\ncx q[4], q[5];\nrz(x37) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(x38) q[5];\ncx q[8], q[5];\ncx q[4], q[6];\nrz(x37) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(x38) q[6];\ncx q[8], q[6];\ncx q[5], q[6];\nrz(x39) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x37) q[7];\ncx q[4], q[7];\ncx q[8], q[7];\nrz(x38) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(x37) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x37) q[7];\ncx q[6], q[7];\ncx q[4], q[0];\nrz(x37) q[0];\ncx q[4], q[0];\ncx q[8], q[0];\nrz(x38) q[0];\ncx q[8], q[0];\ncx q[4], q[9];\nrz(x38) q[9];\ncx q[4], q[9];\ncx q[8], q[9];\nrz(x37) q[9];\ncx q[8], q[9];\ncx q[5], q[9];\nrz(x37) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(x37) q[9];\ncx q[6], q[9];\ncx q[0], q[9];\nrz(x38) q[9];\ncx q[0], q[9];\ncx q[4], q[10];\nrz(x38) q[10];\ncx q[4], q[10];\ncx q[8], q[10];\nrz(x37) q[10];\ncx q[8], q[10];\ncx q[0], q[10];\nrz(x38) q[10];\ncx q[0], q[10];\ncx q[9], q[10];\nrz(x37) q[10];\ncx q[9], q[10];\ncx q[5], q[1];\nrz(x37) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x37) q[1];\ncx q[6], q[1];\ncx q[9], q[1];\nrz(x37) q[1];\ncx q[9], q[1];\ncx q[5], q[2];\nrz(x37) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(x37) q[2];\ncx q[6], q[2];\ncx q[9], q[2];\nrz(x37) q[2];\ncx q[9], q[2];\ncx q[1], q[2];\nrz(x40) q[2];\ncx q[1], q[2];\nrz(x39) q[4];\nrz(x36) q[8];\nrz(x41) q[5];\nrz(x41) q[6];\nrz(x42) q[7];\nrz(x43) q[0];\nrz(x44) q[9];\nrz(x37) q[10];\nrz(x45) q[1];\nrz(x45) q[2];\nrz(x37) q[11];\nrz(x46) q[3];\nh q[0];\nrz(x47) q[0];\nh q[0];\nh q[1];\nrz(x47) q[1];\nh q[1];\nh q[2];\nrz(x47) q[2];\nh q[2];\nh q[3];\nrz(x47) q[3];\nh q[3];\nh q[4];\nrz(x47) q[4];\nh q[4];\nh q[5];\nrz(x47) q[5];\nh q[5];\nh q[6];\nrz(x47) q[6];\nh q[6];\nh q[7];\nrz(x47) q[7];\nh q[7];\nh q[8];\nrz(x47) q[8];\nh q[8];\nh q[9];\nrz(x47) q[9];\nh q[9];\nh q[10];\nrz(x47) q[10];\nh q[10];\nh q[11];\nrz(x47) q[11];\nh q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["461a504b9826e7d1bfc1c6f1845a3d83","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [22, 84], \"expectation_value\": -4.49639797747896, \"params\": null, \"bitstrings\": [\"1101001\", \"0101011\"], \"total_optimization_steps\": 26, \"probabilities\": [0.0663522959322684, 0.9303266259711162], \"optimization_time\": 17.42507243156433}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"1101001\", \"1101010\", \"0101011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nry(-1.5681) q[6];\nry(-1.4449) q[1];\nry(1.4417) q[4];\nry(1.4417) q[2];\ncry(-1.0343) q[0], q[5];\nry(0.7003) q[0];\ncry(-0.1259) q[4], q[1];\nry(-0.4549) q[5];\ncry(0.4962) q[4], q[0];\ncry(-0.3788) q[4], q[5];\ncry(0.2489) q[2], q[0];\ncry(-0.1488) q[2], q[5];\ncry(0.121) q[4], q[2];\ncry(0.1183) q[2], q[4];\ncry(-0.0227) q[5], q[0];\ncry(-0.0005) q[2], q[1];\ncry(-0.0025) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\ncry(-0.0227) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\ncry(-0.0227) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\ncry(-0.0227) q[5], q[0];\\ncry(-0.0005) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\ncry(-0.0227) q[5], q[0];\\ncry(-0.0005) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[6];\\nry(-1.4449) q[1];\\nry(1.4417) q[4];\\nry(1.4417) q[2];\\ncry(-1.0343) q[0], q[5];\\nry(0.7003) q[0];\\ncry(-0.1259) q[4], q[1];\\nry(-0.4549) q[5];\\ncry(0.4962) q[4], q[0];\\ncry(-0.3788) q[4], q[5];\\ncry(0.2489) q[2], q[0];\\ncry(-0.1488) q[2], q[5];\\ncry(0.121) q[4], q[2];\\ncry(0.1183) q[2], q[4];\\ncry(-0.0227) q[5], q[0];\\ncry(-0.0005) q[2], q[1];\\ncry(-0.0025) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.5105, 1.0062, 0.503, 0.4961, 0.4958, 0.2509, 0.2451, 0.1917, 0.1886, 0.2236, 0.1882, 0.1273, 0.0785, 0.0628, 0.0615, 0.01, 0.0075, 0.0075, 0.006, 0.005, 0.005, 0.0049, 0.0045, 0.0037, 0.003, 0.0028]}"]
["2977216891913013939","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[1, 5], [0, 2], [1, 10], [11, 7], [2, 3], [2, 10], [8, 10], [11, 5], [8, 0], [8, 1], [5, 7], [9, 4], [9, 3], [3, 5], [11, 3], [2, 6], [10, 11], [9, 10], [5, 6]]}","{\"states\": [717, 589], \"expectation_value\": -3.3278793255670083, \"params\": [[[1.5271000000000001, 0.0012000000000000001], [-0.7034, 1.2359], [2.0086, 1.3747], [-0.0085, 1.1316000000000002], [-1.566, 1.5744], [0.6757000000000001, 1.576], [2.1071, 0.1144], [2.1079, -0.0952], [0.0765, 0.0284], [0.1008, 0.1826], [-0.3064, 0.31120000000000003], [1.4574, 1.6815]]], \"bitstrings\": [\"110100110010\", \"110110110010\"], \"total_optimization_steps\": 210, \"probabilities\": [0.056950922381140336, 0.06537671233137468], \"optimization_time\": 10.221105337142944}","0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(10) + 0.0 * Z(11) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(8) + 0.0 * Z(9) + 0.0 * Z(4) + 0.0 * Z(6)",15,12,1,"{\"smallest_eigenvalues\": [-7.5, -7.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"110110110010\", \"001001001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(1.5271) q[0];\nry(-0.7034) q[1];\nry(2.0086) q[2];\nry(-0.0085) q[3];\nry(-1.566) q[4];\nry(0.6757) q[5];\nry(2.1071) q[6];\nry(2.1079) q[7];\nry(0.0765) q[8];\nry(0.1008) q[9];\nry(-0.3064) q[10];\nry(1.4574) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0012) q[0];\nry(1.2359) q[1];\nry(1.3747) q[2];\nry(1.1316) q[3];\nry(1.5744) q[4];\nry(1.576) q[5];\nry(0.1144) q[6];\nry(-0.0952) q[7];\nry(0.0284) q[8];\nry(0.1826) q[9];\nry(0.3112) q[10];\nry(1.6815) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x12) q[0];\nry(x13) q[1];\nry(x14) q[2];\nry(x15) q[3];\nry(x16) q[4];\nry(x17) q[5];\nry(x18) q[6];\nry(x19) q[7];\nry(x20) q[8];\nry(x21) q[9];\nry(x22) q[10];\nry(x23) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["600d50af407f0acc5a9b9d46f1136ef3","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}, {\"id\": 13}, {\"id\": 14}, {\"id\": 15}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}, {\"source\": 11, \"target\": 12}, {\"source\": 13, \"target\": 14}, {\"source\": 13, \"target\": 15}]}","{\"states\": [26622, 26623], \"expectation_value\": -21.40851055537424, \"params\": [0.0021000000000000003, -0.4138, 2.7346, 0.006900000000000001, 0.0024000000000000002, 0.0091, 0.0018000000000000002, 0.8270000000000001, 0.0018000000000000002, -0.3008, 0.0033, 0.24760000000000001, -1.4456, 0.0015, 0.0032, 0.2639, -0.0005, -0.1008, -1.4024, 0.0031000000000000003, 0.0898, 0.0031000000000000003, 2.7384, 0.003, -0.0024000000000000002, 0.319, -1.7971000000000001, 0.0015, -1.3898000000000001, 0.0038, 3.1434, 0.6662, 3.1557, 0.0019, 3.1434, 3.1442, -1.4107, 3.144, 3.1362, -1.3960000000000001, 3.0559000000000003, 0.4373, 3.1391, -1.3933], \"bitstrings\": [\"001100000000001\", \"001100000000000\"], \"total_optimization_steps\": 440, \"probabilities\": [0.32943289817936017, 0.3737106078450524], \"optimization_time\": 28.8896803855896}","-1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * (Z(10) @ Z(11)) + -1.5 * (Z(12) @ Z(13)) + 0.5 * (Z(14) @ Z(13)) + -1.5 * (Z(14) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(11) + 0.5 * Z(10) + 0.5 * Z(13) + 0.5 * Z(12) + 0.5 * Z(14)",4,15,1,"{\"smallest_eigenvalues\": [-23.49999999999996], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.499999999999947, \"smallest_bitstrings\": [\"001100000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nrx(0.0021) q[0];\nrz(-0.4138) q[0];\nrx(2.7346) q[1];\nrz(0.0069) q[1];\nrx(0.0024) q[2];\nrz(0.0091) q[2];\nrx(0.0018) q[3];\nrz(0.827) q[3];\nrx(0.0018) q[4];\nrz(-0.3008) q[4];\nrx(0.0033) q[5];\nrz(0.2476) q[5];\nrx(-1.4456) q[6];\nrz(0.0015) q[6];\nrx(0.0032) q[7];\nrz(0.2639) q[7];\nrx(-0.0005) q[8];\nrz(-0.1008) q[8];\nrx(-1.4024) q[9];\nrz(0.0031) q[9];\nrx(0.0898) q[10];\nrz(0.0031) q[10];\nrx(2.7384) q[11];\nrz(0.003) q[11];\nrx(-0.0024) q[12];\nrz(0.319) q[12];\nrx(-1.7971) q[13];\nrz(0.0015) q[13];\nrx(-1.3898) q[14];\nrz(0.0038) q[14];\ncrx(-1.3933) q[14], q[13];\ncrx(3.1391) q[13], q[12];\ncrx(0.4373) q[12], q[11];\ncrx(3.0559) q[11], q[10];\ncrx(-1.396) q[10], q[9];\ncrx(3.1362) q[9], q[8];\ncrx(3.144) q[8], q[7];\ncrx(-1.4107) q[7], q[6];\ncrx(3.1442) q[6], q[5];\ncrx(3.1434) q[5], q[4];\ncrx(0.0019) q[4], q[3];\ncrx(3.1557) q[3], q[2];\ncrx(0.6662) q[2], q[1];\ncrx(3.1434) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[15] c;\nqubit[15] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x6) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x18) q[10];\nrx(x20) q[11];\nrz(x21) q[11];\nrx(x22) q[12];\nrz(x23) q[12];\nrx(x24) q[13];\nrz(x12) q[13];\nrx(x25) q[14];\nrz(x26) q[14];\ncrx(x27) q[14], q[13];\ncrx(x28) q[13], q[12];\ncrx(x29) q[12], q[11];\ncrx(x30) q[11], q[10];\ncrx(x31) q[10], q[9];\ncrx(x32) q[9], q[8];\ncrx(x33) q[8], q[7];\ncrx(x34) q[7], q[6];\ncrx(x35) q[6], q[5];\ncrx(x36) q[5], q[4];\ncrx(x37) q[4], q[3];\ncrx(x38) q[3], q[2];\ncrx(x39) q[2], q[1];\ncrx(x36) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["ced6c703f6fc42ad993c62457521a8a6","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 6, \"target\": 3}]}","{\"states\": [9, 1], \"expectation_value\": -0.40017078010547613, \"params\": [[-0.0813], [0.0784]], \"bitstrings\": [\"11110110\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005391172998293352, 0.005606485752714632], \"optimization_time\": 4.542090177536011}","-0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(2) + -0.25 * Z(5) + 0.0 * Z(6) + 0.0 * Z(3) + -0.25 * Z(4) + 1.75 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-9.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.75, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.0813) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.122) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0813) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(0.0813) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0813) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(0.0406) q[6];\ncx q[0], q[6];\ncx q[1], q[3];\nrz(0.0813) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(0.0406) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(0.0406) q[3];\ncx q[6], q[3];\ncx q[5], q[4];\nrz(0.0813) q[4];\ncx q[5], q[4];\ncx q[0], q[7];\nrz(-0.3252) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(0.0406) q[7];\ncx q[4], q[7];\nrz(0.122) q[1];\nrz(0.0406) q[0];\nrz(0.0406) q[2];\nrz(0.0406) q[5];\nrz(0) q[6];\nrz(0) q[3];\nrz(0.0406) q[4];\nrz(-0.2845) q[7];\nh q[0];\nrz(0.1568) q[0];\nh q[0];\nh q[1];\nrz(0.1568) q[1];\nh q[1];\nh q[2];\nrz(0.1568) q[2];\nh q[2];\nh q[3];\nrz(0.1568) q[3];\nh q[3];\nh q[4];\nrz(0.1568) q[4];\nh q[4];\nh q[5];\nrz(0.1568) q[5];\nh q[5];\nh q[6];\nrz(0.1568) q[6];\nh q[6];\nh q[7];\nrz(0.1568) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[0], q[7];\nrz(x3) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(x2) q[7];\ncx q[4], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[5];\nrz(x4) q[6];\nrz(x4) q[3];\nrz(x2) q[4];\nrz(x5) q[7];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["60093ea65732b343d8ac63be7dcb7e35","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 5, \"source\": 0, \"target\": 6}, {\"capacity\": 5, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 5}, {\"capacity\": 4, \"source\": 2, \"target\": 1}, {\"capacity\": 4, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 5, \"source\": 5, \"target\": 4}, {\"capacity\": 3, \"source\": 5, \"target\": 6}]}","{\"states\": [98, 63], \"expectation_value\": -5.249370902164646, \"params\": [[-0.003, -0.0031000000000000003, 0.7805000000000001, 0.0068000000000000005, 0.7815000000000001, 0.0031000000000000003, -0.003], [-1.5884, 0.7855000000000001, 1.5709000000000002, 0.0023, 1.5772000000000002, 0.7852, -1.5862], [-1.5843, 1.5686, 1.5717, 0.002, 1.5772000000000002, 1.5718, 1.5857]], \"bitstrings\": [\"0011101\", \"1000000\"], \"total_optimization_steps\": 170, \"probabilities\": [0.1249963757215973, 0.12499641050471542], \"optimization_time\": 4.055131912231445}","-0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0.25 * Z(0) + 1.0 * Z(5) + -1.0 * Z(6) + 1.5 * Z(1) + 0.5 * Z(2) + -2.5 * Z(4)",9,7,3,"{\"smallest_eigenvalues\": [-12.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"1000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.003) q[0];\nrx(-0.0031) q[1];\nrx(0.7805) q[2];\nrx(0.0068) q[3];\nrx(0.7815) q[4];\nrx(0.0031) q[5];\nrx(-0.003) q[6];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-1.5884) q[0];\nrx(0.7855) q[1];\nrx(1.5709) q[2];\nrx(0.0023) q[3];\nrx(1.5772) q[4];\nrx(0.7852) q[5];\nrx(-1.5862) q[6];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-1.5843) q[0];\nrx(1.5686) q[1];\nrx(1.5717) q[2];\nrx(0.002) q[3];\nrx(1.5772) q[4];\nrx(1.5718) q[5];\nrx(1.5857) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nrx(x0) q[6];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x6) q[0];\nrx(x7) q[1];\nrx(x8) q[2];\nrx(x9) q[3];\nrx(x10) q[4];\nrx(x11) q[5];\nrx(x12) q[6];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x13) q[0];\nrx(x14) q[1];\nrx(x15) q[2];\nrx(x16) q[3];\nrx(x10) q[4];\nrx(x17) q[5];\nrx(x18) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["605742faa50c2e92c07356e058fd303f","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [253, 245], \"expectation_value\": -1.4055147018013405, \"params\": [0.3926, 0.006, 2.2073, 0.005, 2.1950000000000003, 0.007, 2.2099, 0.0027, 2.2057, 0.0086, 1.5163, 0.009600000000000001, 2.204, 0.0021000000000000003, 0.3871, 0.0022, 2.2043, 0.0045000000000000005, 0.0097, 0.0068000000000000005, 0.0009000000000000001, 0.0006000000000000001, 0.0049, 0.0088, 0.0098, 0.006200000000000001, 0.0054], \"bitstrings\": [\"100000010\", \"100001010\"], \"total_optimization_steps\": 220, \"probabilities\": [0.11140859285593789, 0.124256853449836], \"optimization_time\": 9.055555582046509}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(6)) + -0.125 * (Z(1) @ Z(6) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(1) @ Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(8) @ Z(2)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(8) @ Z(5)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(8) @ Z(2) @ Z(3)) + -0.125 * (Z(8) @ Z(2) @ Z(5)) + -0.125 * (Z(8) @ Z(5) @ Z(3)) + 0.125 * (Z(8) @ Z(2) @ Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(7)) + 0.25 * (Z(8) @ Z(6)) + 0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(6) @ Z(7)) + -0.25 * Z(0) + 0.125 * Z(1) + 0.125 * Z(2) + -0.125 * Z(3) + -0.125 * Z(4) + 0.25 * Z(5) + 0.125 * Z(6) + -0.25 * Z(7) + 0.125 * Z(8)",18,9,1,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"100001010\", \"010100010\", \"100010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.3926) q[0];\nrz(0.006) q[0];\nrx(2.2073) q[1];\nrz(0.005) q[1];\nrx(2.195) q[2];\nrz(0.007) q[2];\nrx(2.2099) q[3];\nrz(0.0027) q[3];\nrx(2.2057) q[4];\nrz(0.0086) q[4];\nrx(1.5163) q[5];\nrz(0.0096) q[5];\nrx(2.204) q[6];\nrz(0.0021) q[6];\nrx(0.3871) q[7];\nrz(0.0022) q[7];\nrx(2.2043) q[8];\nrz(0.0045) q[8];\ncrz(0.0097) q[8], q[0];\ncrz(0.0054) q[7], q[8];\ncrz(0.0062) q[6], q[7];\ncrz(0.0098) q[5], q[6];\ncrz(0.0088) q[4], q[5];\ncrz(0.0049) q[3], q[4];\ncrz(0.0006) q[2], q[3];\ncrz(0.0009) q[1], q[2];\ncrz(0.0068) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["d9325feb8a7df3daf05f172adf67b14e","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 0, \"target\": 7}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 8}, {\"capacity\": 5, \"source\": 1, \"target\": 9}, {\"capacity\": 4, \"source\": 2, \"target\": 7}, {\"capacity\": 3, \"source\": 2, \"target\": 10}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 9}, {\"capacity\": 5, \"source\": 3, \"target\": 10}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 5, \"source\": 4, \"target\": 3}, {\"capacity\": 5, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 8}, {\"capacity\": 3, \"source\": 6, \"target\": 1}, {\"capacity\": 5, \"source\": 6, \"target\": 2}, {\"capacity\": 5, \"source\": 6, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 1}, {\"capacity\": 3, \"source\": 7, \"target\": 3}, {\"capacity\": 2, \"source\": 7, \"target\": 8}, {\"capacity\": 2, \"source\": 7, \"target\": 9}, {\"capacity\": 5, \"source\": 8, \"target\": 3}, {\"capacity\": 2, \"source\": 8, \"target\": 6}, {\"capacity\": 1, \"source\": 9, \"target\": 1}, {\"capacity\": 1, \"source\": 9, \"target\": 3}, {\"capacity\": 2, \"source\": 9, \"target\": 8}]}","{\"states\": [0, 256], \"expectation_value\": -25.545293652846773, \"params\": [-0.2398, 0.0032, -0.2288, 0.007500000000000001, 0.0039000000000000003, 0.112, 0.0009000000000000001, 0.1237, 0.2973, -0.0005, 0.30160000000000003, -0.00030000000000000003, -0.0041, 0.1686, 0.0026000000000000003, 0.2412, -0.0039000000000000003, 0.16390000000000002, -0.0043, 0.1273, -0.0055000000000000005, 0.1943, -0.0014, 0.2354, -0.0004, 0.23450000000000001, -0.0076, 0.2308, 0.0064, 0.158, -0.0019, 0.189, 0.0012000000000000001, 0.2381, -0.0035, 0.2388, 0.005, 0.18080000000000002, -0.006200000000000001, 0.2419, -0.0037, 0.2321, 0.0005, 0.1932, -0.2283, 0.0067, 0.1452, -0.003, 0.0025, 0.10010000000000001, -0.010100000000000001, 0.1837, 0.2997, -0.0006000000000000001, 0.2979, -0.0, -0.0064, 0.2182, -0.006, 0.1618, -0.0019, 0.1797, -0.0043, 0.1331, 0.0007, 0.2416, -0.0002, 0.24430000000000002, -0.0036000000000000003, 0.23720000000000002, 0.0018000000000000002, 0.2398, -0.0059, 0.2341, -0.0077, 0.2389, -0.0064, 0.2396, -0.0031000000000000003, 0.2336, 0.0025, 0.2265, -0.0058000000000000005, 0.23850000000000002, -0.0043, 0.2247, -0.0024000000000000002, 0.22440000000000002, 0.1489, -0.0118, 0.26680000000000004, 0.009600000000000001, -0.0053, 0.1883, -0.0036000000000000003, 0.0077, 0.29760000000000003, -0.0004, 0.2975, 0.00030000000000000003, -0.0007, 0.1633, 0.001, 0.0012000000000000001, -0.0011, 0.1223, 0.0019, 0.0048000000000000004, -0.004200000000000001, 0.24300000000000002, -0.0028, 0.006900000000000001, 0.0024000000000000002, 0.23270000000000002, -0.0059, 0.0036000000000000003, -0.0023, 0.2467, -0.0011, 0.009300000000000001, -0.0019, 0.2386, -0.0011, 0.0054, -0.0053, 0.24650000000000002, -0.0009000000000000001, 0.0028, -0.0007, 0.16110000000000002, -0.0055000000000000005, 0.0046, 0.028200000000000003, 0.0002, 0.30010000000000003, 0.004, 0.0051, 0.0033, -0.0047, -0.0027, -0.0047, -0.0005, 0.0013000000000000002, 0.049600000000000005, -0.0036000000000000003, 0.2918, -0.004200000000000001, -0.004200000000000001, -0.0014, -0.0006000000000000001, -0.005, -0.0043, -0.0051, -0.0018000000000000002, 0.23020000000000002, -0.0068000000000000005, 0.30160000000000003, 0.0015, 0.0028, -0.0039000000000000003, -0.0054, 0.0004, -0.0026000000000000003, 0.0007, -0.0041], \"bitstrings\": [\"11111111111\", \"11011111111\"], \"total_optimization_steps\": 30, \"probabilities\": [0.36962454872900935, 0.6296330498934088], \"optimization_time\": 76.32841467857361}","-0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.5 * (Z(9) @ Z(1)) + -1.25 * (Z(9) @ Z(4)) + -0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(9)) + 4.5 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(9)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) + 0.0 * Z(8) + 0.0 * Z(9) + -1.5 * Z(10) + 2.5 * Z(2) + 1.5 * Z(7) + -0.25 * Z(6)",6,11,3,"{\"smallest_eigenvalues\": [-29.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -24.25, \"smallest_bitstrings\": [\"11011111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.2398) q[0];\nrz(0.0032) q[0];\nrx(0.0039) q[1];\nrz(0.112) q[1];\nrx(0.2973) q[2];\nrz(-0.0005) q[2];\nrx(-0.0041) q[3];\nrz(0.1686) q[3];\nrx(-0.0039) q[4];\nrz(0.1639) q[4];\nrx(-0.0055) q[5];\nrz(0.1943) q[5];\nrx(-0.0004) q[6];\nrz(0.2345) q[6];\nrx(0.0064) q[7];\nrz(0.158) q[7];\nrx(0.0012) q[8];\nrz(0.2381) q[8];\nrx(0.005) q[9];\nrz(0.1808) q[9];\nrx(-0.0037) q[10];\nrz(0.2321) q[10];\ncrx(-0.0005) q[10], q[9];\ncrx(-0.0047) q[10], q[8];\ncrx(-0.0027) q[10], q[7];\ncrx(-0.0047) q[10], q[6];\ncrx(0.0033) q[10], q[5];\ncrx(0.0051) q[10], q[4];\ncrx(0.004) q[10], q[3];\ncrx(0.3001) q[10], q[2];\ncrx(0.0002) q[10], q[1];\ncrx(0.0282) q[10], q[0];\ncrx(0.0013) q[9], q[10];\ncrx(-0.0047) q[9], q[8];\ncrx(-0.0027) q[9], q[7];\ncrx(-0.0047) q[9], q[6];\ncrx(0.0033) q[9], q[5];\ncrx(0.0051) q[9], q[4];\ncrx(0.004) q[9], q[3];\ncrx(0.3001) q[9], q[2];\ncrx(0.0002) q[9], q[1];\ncrx(0.0282) q[9], q[0];\ncrx(0.0013) q[8], q[10];\ncrx(-0.0005) q[8], q[9];\ncrx(-0.0027) q[8], q[7];\ncrx(-0.0047) q[8], q[6];\ncrx(0.0033) q[8], q[5];\ncrx(0.0051) q[8], q[4];\ncrx(0.004) q[8], q[3];\ncrx(0.3001) q[8], q[2];\ncrx(0.0002) q[8], q[1];\ncrx(0.0282) q[8], q[0];\ncrx(0.0013) q[7], q[10];\ncrx(-0.0005) q[7], q[9];\ncrx(-0.0047) q[7], q[8];\ncrx(-0.0047) q[7], q[6];\ncrx(0.0033) q[7], q[5];\ncrx(0.0051) q[7], q[4];\ncrx(0.004) q[7], q[3];\ncrx(0.3001) q[7], q[2];\ncrx(0.0002) q[7], q[1];\ncrx(0.0282) q[7], q[0];\ncrx(0.0013) q[6], q[10];\ncrx(-0.0005) q[6], q[9];\ncrx(-0.0047) q[6], q[8];\ncrx(-0.0027) q[6], q[7];\ncrx(0.0033) q[6], q[5];\ncrx(0.0051) q[6], q[4];\ncrx(0.004) q[6], q[3];\ncrx(0.3001) q[6], q[2];\ncrx(0.0002) q[6], q[1];\ncrx(0.0282) q[6], q[0];\ncrx(0.0013) q[5], q[10];\ncrx(-0.0005) q[5], q[9];\ncrx(-0.0047) q[5], q[8];\ncrx(-0.0027) q[5], q[7];\ncrx(-0.0047) q[5], q[6];\ncrx(0.0051) q[5], q[4];\ncrx(0.004) q[5], q[3];\ncrx(0.3001) q[5], q[2];\ncrx(0.0002) q[5], q[1];\ncrx(0.0282) q[5], q[0];\ncrx(0.0013) q[4], q[10];\ncrx(-0.0005) q[4], q[9];\ncrx(-0.0047) q[4], q[8];\ncrx(-0.0027) q[4], q[7];\ncrx(-0.0047) q[4], q[6];\ncrx(0.0033) q[4], q[5];\ncrx(0.004) q[4], q[3];\ncrx(0.3001) q[4], q[2];\ncrx(0.0002) q[4], q[1];\ncrx(0.0282) q[4], q[0];\ncrx(0.0013) q[3], q[10];\ncrx(-0.0005) q[3], q[9];\ncrx(-0.0047) q[3], q[8];\ncrx(-0.0027) q[3], q[7];\ncrx(-0.0047) q[3], q[6];\ncrx(0.0033) q[3], q[5];\ncrx(0.0051) q[3], q[4];\ncrx(0.3001) q[3], q[2];\ncrx(0.0002) q[3], q[1];\ncrx(0.0282) q[3], q[0];\ncrx(0.0013) q[2], q[10];\ncrx(-0.0005) q[2], q[9];\ncrx(-0.0047) q[2], q[8];\ncrx(-0.0027) q[2], q[7];\ncrx(-0.0047) q[2], q[6];\ncrx(0.0033) q[2], q[5];\ncrx(0.0051) q[2], q[4];\ncrx(0.004) q[2], q[3];\ncrx(0.0002) q[2], q[1];\ncrx(0.0282) q[2], q[0];\ncrx(0.0013) q[1], q[10];\ncrx(-0.0005) q[1], q[9];\ncrx(-0.0047) q[1], q[8];\ncrx(-0.0027) q[1], q[7];\ncrx(-0.0047) q[1], q[6];\ncrx(0.0033) q[1], q[5];\ncrx(0.0051) q[1], q[4];\ncrx(0.004) q[1], q[3];\ncrx(0.3001) q[1], q[2];\ncrx(0.0282) q[1], q[0];\ncrx(0.0013) q[0], q[10];\ncrx(-0.0005) q[0], q[9];\ncrx(-0.0047) q[0], q[8];\ncrx(-0.0027) q[0], q[7];\ncrx(-0.0047) q[0], q[6];\ncrx(0.0033) q[0], q[5];\ncrx(0.0051) q[0], q[4];\ncrx(0.004) q[0], q[3];\ncrx(0.3001) q[0], q[2];\ncrx(0.0002) q[0], q[1];\nrx(-0.2288) q[0];\nrz(0.0075) q[0];\nrx(0.0009) q[1];\nrz(0.1237) q[1];\nrx(0.3016) q[2];\nrz(-0.0003) q[2];\nrx(0.0026) q[3];\nrz(0.2412) q[3];\nrx(-0.0043) q[4];\nrz(0.1273) q[4];\nrx(-0.0014) q[5];\nrz(0.2354) q[5];\nrx(-0.0076) q[6];\nrz(0.2308) q[6];\nrx(-0.0019) q[7];\nrz(0.189) q[7];\nrx(-0.0035) q[8];\nrz(0.2388) q[8];\nrx(-0.0062) q[9];\nrz(0.2419) q[9];\nrx(0.0005) q[10];\nrz(0.1932) q[10];\nrx(-0.2283) q[0];\nrz(0.0067) q[0];\nrx(0.0025) q[1];\nrz(0.1001) q[1];\nrx(0.2997) q[2];\nrz(-0.0006) q[2];\nrx(-0.0064) q[3];\nrz(0.2182) q[3];\nrx(-0.0019) q[4];\nrz(0.1797) q[4];\nrx(0.0007) q[5];\nrz(0.2416) q[5];\nrx(-0.0036) q[6];\nrz(0.2372) q[6];\nrx(-0.0059) q[7];\nrz(0.2341) q[7];\nrx(-0.0064) q[8];\nrz(0.2396) q[8];\nrx(0.0025) q[9];\nrz(0.2265) q[9];\nrx(-0.0043) q[10];\nrz(0.2247) q[10];\ncrx(-0.0051) q[10], q[9];\ncrx(-0.0043) q[10], q[8];\ncrx(-0.005) q[10], q[7];\ncrx(-0.0006) q[10], q[6];\ncrx(-0.0014) q[10], q[5];\ncrx(-0.0042) q[10], q[4];\ncrx(-0.0042) q[10], q[3];\ncrx(0.2918) q[10], q[2];\ncrx(-0.0036) q[10], q[1];\ncrx(0.0496) q[10], q[0];\ncrx(-0.0018) q[9], q[10];\ncrx(-0.0043) q[9], q[8];\ncrx(-0.005) q[9], q[7];\ncrx(-0.0006) q[9], q[6];\ncrx(-0.0014) q[9], q[5];\ncrx(-0.0042) q[9], q[4];\ncrx(-0.0042) q[9], q[3];\ncrx(0.2918) q[9], q[2];\ncrx(-0.0036) q[9], q[1];\ncrx(0.0496) q[9], q[0];\ncrx(-0.0018) q[8], q[10];\ncrx(-0.0051) q[8], q[9];\ncrx(-0.005) q[8], q[7];\ncrx(-0.0006) q[8], q[6];\ncrx(-0.0014) q[8], q[5];\ncrx(-0.0042) q[8], q[4];\ncrx(-0.0042) q[8], q[3];\ncrx(0.2918) q[8], q[2];\ncrx(-0.0036) q[8], q[1];\ncrx(0.0496) q[8], q[0];\ncrx(-0.0018) q[7], q[10];\ncrx(-0.0051) q[7], q[9];\ncrx(-0.0043) q[7], q[8];\ncrx(-0.0006) q[7], q[6];\ncrx(-0.0014) q[7], q[5];\ncrx(-0.0042) q[7], q[4];\ncrx(-0.0042) q[7], q[3];\ncrx(0.2918) q[7], q[2];\ncrx(-0.0036) q[7], q[1];\ncrx(0.0496) q[7], q[0];\ncrx(-0.0018) q[6], q[10];\ncrx(-0.0051) q[6], q[9];\ncrx(-0.0043) q[6], q[8];\ncrx(-0.005) q[6], q[7];\ncrx(-0.0014) q[6], q[5];\ncrx(-0.0042) q[6], q[4];\ncrx(-0.0042) q[6], q[3];\ncrx(0.2918) q[6], q[2];\ncrx(-0.0036) q[6], q[1];\ncrx(0.0496) q[6], q[0];\ncrx(-0.0018) q[5], q[10];\ncrx(-0.0051) q[5], q[9];\ncrx(-0.0043) q[5], q[8];\ncrx(-0.005) q[5], q[7];\ncrx(-0.0006) q[5], q[6];\ncrx(-0.0042) q[5], q[4];\ncrx(-0.0042) q[5], q[3];\ncrx(0.2918) q[5], q[2];\ncrx(-0.0036) q[5], q[1];\ncrx(0.0496) q[5], q[0];\ncrx(-0.0018) q[4], q[10];\ncrx(-0.0051) q[4], q[9];\ncrx(-0.0043) q[4], q[8];\ncrx(-0.005) q[4], q[7];\ncrx(-0.0006) q[4], q[6];\ncrx(-0.0014) q[4], q[5];\ncrx(-0.0042) q[4], q[3];\ncrx(0.2918) q[4], q[2];\ncrx(-0.0036) q[4], q[1];\ncrx(0.0496) q[4], q[0];\ncrx(-0.0018) q[3], q[10];\ncrx(-0.0051) q[3], q[9];\ncrx(-0.0043) q[3], q[8];\ncrx(-0.005) q[3], q[7];\ncrx(-0.0006) q[3], q[6];\ncrx(-0.0014) q[3], q[5];\ncrx(-0.0042) q[3], q[4];\ncrx(0.2918) q[3], q[2];\ncrx(-0.0036) q[3], q[1];\ncrx(0.0496) q[3], q[0];\ncrx(-0.0018) q[2], q[10];\ncrx(-0.0051) q[2], q[9];\ncrx(-0.0043) q[2], q[8];\ncrx(-0.005) q[2], q[7];\ncrx(-0.0006) q[2], q[6];\ncrx(-0.0014) q[2], q[5];\ncrx(-0.0042) q[2], q[4];\ncrx(-0.0042) q[2], q[3];\ncrx(-0.0036) q[2], q[1];\ncrx(0.0496) q[2], q[0];\ncrx(-0.0018) q[1], q[10];\ncrx(-0.0051) q[1], q[9];\ncrx(-0.0043) q[1], q[8];\ncrx(-0.005) q[1], q[7];\ncrx(-0.0006) q[1], q[6];\ncrx(-0.0014) q[1], q[5];\ncrx(-0.0042) q[1], q[4];\ncrx(-0.0042) q[1], q[3];\ncrx(0.2918) q[1], q[2];\ncrx(0.0496) q[1], q[0];\ncrx(-0.0018) q[0], q[10];\ncrx(-0.0051) q[0], q[9];\ncrx(-0.0043) q[0], q[8];\ncrx(-0.005) q[0], q[7];\ncrx(-0.0006) q[0], q[6];\ncrx(-0.0014) q[0], q[5];\ncrx(-0.0042) q[0], q[4];\ncrx(-0.0042) q[0], q[3];\ncrx(0.2918) q[0], q[2];\ncrx(-0.0036) q[0], q[1];\nrx(0.1452) q[0];\nrz(-0.003) q[0];\nrx(-0.0101) q[1];\nrz(0.1837) q[1];\nrx(0.2979) q[2];\nrz(0) q[2];\nrx(-0.006) q[3];\nrz(0.1618) q[3];\nrx(-0.0043) q[4];\nrz(0.1331) q[4];\nrx(-0.0002) q[5];\nrz(0.2443) q[5];\nrx(0.0018) q[6];\nrz(0.2398) q[6];\nrx(-0.0077) q[7];\nrz(0.2389) q[7];\nrx(-0.0031) q[8];\nrz(0.2336) q[8];\nrx(-0.0058) q[9];\nrz(0.2385) q[9];\nrx(-0.0024) q[10];\nrz(0.2244) q[10];\nrx(0.1489) q[0];\nrz(-0.0118) q[0];\nrx(-0.0053) q[1];\nrz(0.1883) q[1];\nrx(0.2976) q[2];\nrz(-0.0004) q[2];\nrx(-0.0007) q[3];\nrz(0.1633) q[3];\nrx(-0.0011) q[4];\nrz(0.1223) q[4];\nrx(-0.0042) q[5];\nrz(0.243) q[5];\nrx(0.0024) q[6];\nrz(0.2327) q[6];\nrx(-0.0023) q[7];\nrz(0.2467) q[7];\nrx(-0.0019) q[8];\nrz(0.2386) q[8];\nrx(-0.0053) q[9];\nrz(0.2465) q[9];\nrx(-0.0007) q[10];\nrz(0.1611) q[10];\ncrx(0.0007) q[10], q[9];\ncrx(-0.0026) q[10], q[8];\ncrx(0.0004) q[10], q[7];\ncrx(-0.0054) q[10], q[6];\ncrx(-0.0039) q[10], q[5];\ncrx(0.0028) q[10], q[4];\ncrx(0.0015) q[10], q[3];\ncrx(0.3016) q[10], q[2];\ncrx(-0.0068) q[10], q[1];\ncrx(0.2302) q[10], q[0];\ncrx(-0.0041) q[9], q[10];\ncrx(-0.0026) q[9], q[8];\ncrx(0.0004) q[9], q[7];\ncrx(-0.0054) q[9], q[6];\ncrx(-0.0039) q[9], q[5];\ncrx(0.0028) q[9], q[4];\ncrx(0.0015) q[9], q[3];\ncrx(0.3016) q[9], q[2];\ncrx(-0.0068) q[9], q[1];\ncrx(0.2302) q[9], q[0];\ncrx(-0.0041) q[8], q[10];\ncrx(0.0007) q[8], q[9];\ncrx(0.0004) q[8], q[7];\ncrx(-0.0054) q[8], q[6];\ncrx(-0.0039) q[8], q[5];\ncrx(0.0028) q[8], q[4];\ncrx(0.0015) q[8], q[3];\ncrx(0.3016) q[8], q[2];\ncrx(-0.0068) q[8], q[1];\ncrx(0.2302) q[8], q[0];\ncrx(-0.0041) q[7], q[10];\ncrx(0.0007) q[7], q[9];\ncrx(-0.0026) q[7], q[8];\ncrx(-0.0054) q[7], q[6];\ncrx(-0.0039) q[7], q[5];\ncrx(0.0028) q[7], q[4];\ncrx(0.0015) q[7], q[3];\ncrx(0.3016) q[7], q[2];\ncrx(-0.0068) q[7], q[1];\ncrx(0.2302) q[7], q[0];\ncrx(-0.0041) q[6], q[10];\ncrx(0.0007) q[6], q[9];\ncrx(-0.0026) q[6], q[8];\ncrx(0.0004) q[6], q[7];\ncrx(-0.0039) q[6], q[5];\ncrx(0.0028) q[6], q[4];\ncrx(0.0015) q[6], q[3];\ncrx(0.3016) q[6], q[2];\ncrx(-0.0068) q[6], q[1];\ncrx(0.2302) q[6], q[0];\ncrx(-0.0041) q[5], q[10];\ncrx(0.0007) q[5], q[9];\ncrx(-0.0026) q[5], q[8];\ncrx(0.0004) q[5], q[7];\ncrx(-0.0054) q[5], q[6];\ncrx(0.0028) q[5], q[4];\ncrx(0.0015) q[5], q[3];\ncrx(0.3016) q[5], q[2];\ncrx(-0.0068) q[5], q[1];\ncrx(0.2302) q[5], q[0];\ncrx(-0.0041) q[4], q[10];\ncrx(0.0007) q[4], q[9];\ncrx(-0.0026) q[4], q[8];\ncrx(0.0004) q[4], q[7];\ncrx(-0.0054) q[4], q[6];\ncrx(-0.0039) q[4], q[5];\ncrx(0.0015) q[4], q[3];\ncrx(0.3016) q[4], q[2];\ncrx(-0.0068) q[4], q[1];\ncrx(0.2302) q[4], q[0];\ncrx(-0.0041) q[3], q[10];\ncrx(0.0007) q[3], q[9];\ncrx(-0.0026) q[3], q[8];\ncrx(0.0004) q[3], q[7];\ncrx(-0.0054) q[3], q[6];\ncrx(-0.0039) q[3], q[5];\ncrx(0.0028) q[3], q[4];\ncrx(0.3016) q[3], q[2];\ncrx(-0.0068) q[3], q[1];\ncrx(0.2302) q[3], q[0];\ncrx(-0.0041) q[2], q[10];\ncrx(0.0007) q[2], q[9];\ncrx(-0.0026) q[2], q[8];\ncrx(0.0004) q[2], q[7];\ncrx(-0.0054) q[2], q[6];\ncrx(-0.0039) q[2], q[5];\ncrx(0.0028) q[2], q[4];\ncrx(0.0015) q[2], q[3];\ncrx(-0.0068) q[2], q[1];\ncrx(0.2302) q[2], q[0];\ncrx(-0.0041) q[1], q[10];\ncrx(0.0007) q[1], q[9];\ncrx(-0.0026) q[1], q[8];\ncrx(0.0004) q[1], q[7];\ncrx(-0.0054) q[1], q[6];\ncrx(-0.0039) q[1], q[5];\ncrx(0.0028) q[1], q[4];\ncrx(0.0015) q[1], q[3];\ncrx(0.3016) q[1], q[2];\ncrx(0.2302) q[1], q[0];\ncrx(-0.0041) q[0], q[10];\ncrx(0.0007) q[0], q[9];\ncrx(-0.0026) q[0], q[8];\ncrx(0.0004) q[0], q[7];\ncrx(-0.0054) q[0], q[6];\ncrx(-0.0039) q[0], q[5];\ncrx(0.0028) q[0], q[4];\ncrx(0.0015) q[0], q[3];\ncrx(0.3016) q[0], q[2];\ncrx(-0.0068) q[0], q[1];\nrx(0.2668) q[0];\nrz(0.0096) q[0];\nrx(-0.0036) q[1];\nrz(0.0077) q[1];\nrx(0.2975) q[2];\nrz(0.0003) q[2];\nrx(0.001) q[3];\nrz(0.0012) q[3];\nrx(0.0019) q[4];\nrz(0.0048) q[4];\nrx(-0.0028) q[5];\nrz(0.0069) q[5];\nrx(-0.0059) q[6];\nrz(0.0036) q[6];\nrx(-0.0011) q[7];\nrz(0.0093) q[7];\nrx(-0.0011) q[8];\nrz(0.0054) q[8];\nrx(-0.0009) q[9];\nrz(0.0028) q[9];\nrx(-0.0055) q[10];\nrz(0.0046) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrx(x5) q[10], q[9];\ncrx(x22) q[10], q[8];\ncrx(x23) q[10], q[7];\ncrx(x22) q[10], q[6];\ncrx(x24) q[10], q[5];\ncrx(x25) q[10], q[4];\ncrx(x26) q[10], q[3];\ncrx(x27) q[10], q[2];\ncrx(x28) q[10], q[1];\ncrx(x29) q[10], q[0];\ncrx(x30) q[9], q[10];\ncrx(x22) q[9], q[8];\ncrx(x23) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x24) q[9], q[5];\ncrx(x25) q[9], q[4];\ncrx(x26) q[9], q[3];\ncrx(x27) q[9], q[2];\ncrx(x28) q[9], q[1];\ncrx(x29) q[9], q[0];\ncrx(x30) q[8], q[10];\ncrx(x5) q[8], q[9];\ncrx(x23) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x24) q[8], q[5];\ncrx(x25) q[8], q[4];\ncrx(x26) q[8], q[3];\ncrx(x27) q[8], q[2];\ncrx(x28) q[8], q[1];\ncrx(x29) q[8], q[0];\ncrx(x30) q[7], q[10];\ncrx(x5) q[7], q[9];\ncrx(x22) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x24) q[7], q[5];\ncrx(x25) q[7], q[4];\ncrx(x26) q[7], q[3];\ncrx(x27) q[7], q[2];\ncrx(x28) q[7], q[1];\ncrx(x29) q[7], q[0];\ncrx(x30) q[6], q[10];\ncrx(x5) q[6], q[9];\ncrx(x22) q[6], q[8];\ncrx(x23) q[6], q[7];\ncrx(x24) q[6], q[5];\ncrx(x25) q[6], q[4];\ncrx(x26) q[6], q[3];\ncrx(x27) q[6], q[2];\ncrx(x28) q[6], q[1];\ncrx(x29) q[6], q[0];\ncrx(x30) q[5], q[10];\ncrx(x5) q[5], q[9];\ncrx(x22) q[5], q[8];\ncrx(x23) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x25) q[5], q[4];\ncrx(x26) q[5], q[3];\ncrx(x27) q[5], q[2];\ncrx(x28) q[5], q[1];\ncrx(x29) q[5], q[0];\ncrx(x30) q[4], q[10];\ncrx(x5) q[4], q[9];\ncrx(x22) q[4], q[8];\ncrx(x23) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x24) q[4], q[5];\ncrx(x26) q[4], q[3];\ncrx(x27) q[4], q[2];\ncrx(x28) q[4], q[1];\ncrx(x29) q[4], q[0];\ncrx(x30) q[3], q[10];\ncrx(x5) q[3], q[9];\ncrx(x22) q[3], q[8];\ncrx(x23) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x24) q[3], q[5];\ncrx(x25) q[3], q[4];\ncrx(x27) q[3], q[2];\ncrx(x28) q[3], q[1];\ncrx(x29) q[3], q[0];\ncrx(x30) q[2], q[10];\ncrx(x5) q[2], q[9];\ncrx(x22) q[2], q[8];\ncrx(x23) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x24) q[2], q[5];\ncrx(x25) q[2], q[4];\ncrx(x26) q[2], q[3];\ncrx(x28) q[2], q[1];\ncrx(x29) q[2], q[0];\ncrx(x30) q[1], q[10];\ncrx(x5) q[1], q[9];\ncrx(x22) q[1], q[8];\ncrx(x23) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x24) q[1], q[5];\ncrx(x25) q[1], q[4];\ncrx(x26) q[1], q[3];\ncrx(x27) q[1], q[2];\ncrx(x29) q[1], q[0];\ncrx(x30) q[0], q[10];\ncrx(x5) q[0], q[9];\ncrx(x22) q[0], q[8];\ncrx(x23) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x24) q[0], q[5];\ncrx(x25) q[0], q[4];\ncrx(x26) q[0], q[3];\ncrx(x27) q[0], q[2];\ncrx(x28) q[0], q[1];\nrx(x31) q[0];\nrz(x32) q[0];\nrx(x33) q[1];\nrz(x34) q[1];\nrx(x35) q[2];\nrz(x36) q[2];\nrx(x37) q[3];\nrz(x38) q[3];\nrx(x39) q[4];\nrz(x40) q[4];\nrx(x41) q[5];\nrz(x42) q[5];\nrx(x43) q[6];\nrz(x44) q[6];\nrx(x45) q[7];\nrz(x46) q[7];\nrx(x47) q[8];\nrz(x48) q[8];\nrx(x49) q[9];\nrz(x50) q[9];\nrx(x51) q[10];\nrz(x52) q[10];\nrx(x53) q[0];\nrz(x54) q[0];\nrx(x55) q[1];\nrz(x56) q[1];\nrx(x57) q[2];\nrz(x58) q[2];\nrx(x59) q[3];\nrz(x60) q[3];\nrx(x45) q[4];\nrz(x61) q[4];\nrx(x62) q[5];\nrz(x63) q[5];\nrx(x64) q[6];\nrz(x65) q[6];\nrx(x66) q[7];\nrz(x67) q[7];\nrx(x59) q[8];\nrz(x68) q[8];\nrx(x55) q[9];\nrz(x69) q[9];\nrx(x39) q[10];\nrz(x70) q[10];\ncrx(x71) q[10], q[9];\ncrx(x39) q[10], q[8];\ncrx(x72) q[10], q[7];\ncrx(x58) q[10], q[6];\ncrx(x41) q[10], q[5];\ncrx(x73) q[10], q[4];\ncrx(x73) q[10], q[3];\ncrx(x74) q[10], q[2];\ncrx(x64) q[10], q[1];\ncrx(x75) q[10], q[0];\ncrx(x76) q[9], q[10];\ncrx(x39) q[9], q[8];\ncrx(x72) q[9], q[7];\ncrx(x58) q[9], q[6];\ncrx(x41) q[9], q[5];\ncrx(x73) q[9], q[4];\ncrx(x73) q[9], q[3];\ncrx(x74) q[9], q[2];\ncrx(x64) q[9], q[1];\ncrx(x75) q[9], q[0];\ncrx(x76) q[8], q[10];\ncrx(x71) q[8], q[9];\ncrx(x72) q[8], q[7];\ncrx(x58) q[8], q[6];\ncrx(x41) q[8], q[5];\ncrx(x73) q[8], q[4];\ncrx(x73) q[8], q[3];\ncrx(x74) q[8], q[2];\ncrx(x64) q[8], q[1];\ncrx(x75) q[8], q[0];\ncrx(x76) q[7], q[10];\ncrx(x71) q[7], q[9];\ncrx(x39) q[7], q[8];\ncrx(x58) q[7], q[6];\ncrx(x41) q[7], q[5];\ncrx(x73) q[7], q[4];\ncrx(x73) q[7], q[3];\ncrx(x74) q[7], q[2];\ncrx(x64) q[7], q[1];\ncrx(x75) q[7], q[0];\ncrx(x76) q[6], q[10];\ncrx(x71) q[6], q[9];\ncrx(x39) q[6], q[8];\ncrx(x72) q[6], q[7];\ncrx(x41) q[6], q[5];\ncrx(x73) q[6], q[4];\ncrx(x73) q[6], q[3];\ncrx(x74) q[6], q[2];\ncrx(x64) q[6], q[1];\ncrx(x75) q[6], q[0];\ncrx(x76) q[5], q[10];\ncrx(x71) q[5], q[9];\ncrx(x39) q[5], q[8];\ncrx(x72) q[5], q[7];\ncrx(x58) q[5], q[6];\ncrx(x73) q[5], q[4];\ncrx(x73) q[5], q[3];\ncrx(x74) q[5], q[2];\ncrx(x64) q[5], q[1];\ncrx(x75) q[5], q[0];\ncrx(x76) q[4], q[10];\ncrx(x71) q[4], q[9];\ncrx(x39) q[4], q[8];\ncrx(x72) q[4], q[7];\ncrx(x58) q[4], q[6];\ncrx(x41) q[4], q[5];\ncrx(x73) q[4], q[3];\ncrx(x74) q[4], q[2];\ncrx(x64) q[4], q[1];\ncrx(x75) q[4], q[0];\ncrx(x76) q[3], q[10];\ncrx(x71) q[3], q[9];\ncrx(x39) q[3], q[8];\ncrx(x72) q[3], q[7];\ncrx(x58) q[3], q[6];\ncrx(x41) q[3], q[5];\ncrx(x73) q[3], q[4];\ncrx(x74) q[3], q[2];\ncrx(x64) q[3], q[1];\ncrx(x75) q[3], q[0];\ncrx(x76) q[2], q[10];\ncrx(x71) q[2], q[9];\ncrx(x39) q[2], q[8];\ncrx(x72) q[2], q[7];\ncrx(x58) q[2], q[6];\ncrx(x41) q[2], q[5];\ncrx(x73) q[2], q[4];\ncrx(x73) q[2], q[3];\ncrx(x64) q[2], q[1];\ncrx(x75) q[2], q[0];\ncrx(x76) q[1], q[10];\ncrx(x71) q[1], q[9];\ncrx(x39) q[1], q[8];\ncrx(x72) q[1], q[7];\ncrx(x58) q[1], q[6];\ncrx(x41) q[1], q[5];\ncrx(x73) q[1], q[4];\ncrx(x73) q[1], q[3];\ncrx(x74) q[1], q[2];\ncrx(x75) q[1], q[0];\ncrx(x76) q[0], q[10];\ncrx(x71) q[0], q[9];\ncrx(x39) q[0], q[8];\ncrx(x72) q[0], q[7];\ncrx(x58) q[0], q[6];\ncrx(x41) q[0], q[5];\ncrx(x73) q[0], q[4];\ncrx(x73) q[0], q[3];\ncrx(x74) q[0], q[2];\ncrx(x64) q[0], q[1];\nrx(x77) q[0];\nrz(x78) q[0];\nrx(x79) q[1];\nrz(x80) q[1];\nrx(x81) q[2];\nrz(x82) q[2];\nrx(x83) q[3];\nrz(x84) q[3];\nrx(x39) q[4];\nrz(x85) q[4];\nrx(x86) q[5];\nrz(x87) q[5];\nrx(x88) q[6];\nrz(x89) q[6];\nrx(x90) q[7];\nrz(x91) q[7];\nrx(x92) q[8];\nrz(x93) q[8];\nrx(x94) q[9];\nrz(x95) q[9];\nrx(x96) q[10];\nrz(x97) q[10];\nrx(x98) q[0];\nrz(x99) q[0];\nrx(x100) q[1];\nrz(x101) q[1];\nrx(x102) q[2];\nrz(x12) q[2];\nrx(x103) q[3];\nrz(x104) q[3];\nrx(x105) q[4];\nrz(x106) q[4];\nrx(x73) q[5];\nrz(x107) q[5];\nrx(x108) q[6];\nrz(x109) q[6];\nrx(x110) q[7];\nrz(x111) q[7];\nrx(x45) q[8];\nrz(x112) q[8];\nrx(x100) q[9];\nrz(x113) q[9];\nrx(x103) q[10];\nrz(x114) q[10];\ncrx(x62) q[10], q[9];\ncrx(x115) q[10], q[8];\ncrx(x116) q[10], q[7];\ncrx(x117) q[10], q[6];\ncrx(x8) q[10], q[5];\ncrx(x118) q[10], q[4];\ncrx(x119) q[10], q[3];\ncrx(x35) q[10], q[2];\ncrx(x120) q[10], q[1];\ncrx(x121) q[10], q[0];\ncrx(x6) q[9], q[10];\ncrx(x115) q[9], q[8];\ncrx(x116) q[9], q[7];\ncrx(x117) q[9], q[6];\ncrx(x8) q[9], q[5];\ncrx(x118) q[9], q[4];\ncrx(x119) q[9], q[3];\ncrx(x35) q[9], q[2];\ncrx(x120) q[9], q[1];\ncrx(x121) q[9], q[0];\ncrx(x6) q[8], q[10];\ncrx(x62) q[8], q[9];\ncrx(x116) q[8], q[7];\ncrx(x117) q[8], q[6];\ncrx(x8) q[8], q[5];\ncrx(x118) q[8], q[4];\ncrx(x119) q[8], q[3];\ncrx(x35) q[8], q[2];\ncrx(x120) q[8], q[1];\ncrx(x121) q[8], q[0];\ncrx(x6) q[7], q[10];\ncrx(x62) q[7], q[9];\ncrx(x115) q[7], q[8];\ncrx(x117) q[7], q[6];\ncrx(x8) q[7], q[5];\ncrx(x118) q[7], q[4];\ncrx(x119) q[7], q[3];\ncrx(x35) q[7], q[2];\ncrx(x120) q[7], q[1];\ncrx(x121) q[7], q[0];\ncrx(x6) q[6], q[10];\ncrx(x62) q[6], q[9];\ncrx(x115) q[6], q[8];\ncrx(x116) q[6], q[7];\ncrx(x8) q[6], q[5];\ncrx(x118) q[6], q[4];\ncrx(x119) q[6], q[3];\ncrx(x35) q[6], q[2];\ncrx(x120) q[6], q[1];\ncrx(x121) q[6], q[0];\ncrx(x6) q[5], q[10];\ncrx(x62) q[5], q[9];\ncrx(x115) q[5], q[8];\ncrx(x116) q[5], q[7];\ncrx(x117) q[5], q[6];\ncrx(x118) q[5], q[4];\ncrx(x119) q[5], q[3];\ncrx(x35) q[5], q[2];\ncrx(x120) q[5], q[1];\ncrx(x121) q[5], q[0];\ncrx(x6) q[4], q[10];\ncrx(x62) q[4], q[9];\ncrx(x115) q[4], q[8];\ncrx(x116) q[4], q[7];\ncrx(x117) q[4], q[6];\ncrx(x8) q[4], q[5];\ncrx(x119) q[4], q[3];\ncrx(x35) q[4], q[2];\ncrx(x120) q[4], q[1];\ncrx(x121) q[4], q[0];\ncrx(x6) q[3], q[10];\ncrx(x62) q[3], q[9];\ncrx(x115) q[3], q[8];\ncrx(x116) q[3], q[7];\ncrx(x117) q[3], q[6];\ncrx(x8) q[3], q[5];\ncrx(x118) q[3], q[4];\ncrx(x35) q[3], q[2];\ncrx(x120) q[3], q[1];\ncrx(x121) q[3], q[0];\ncrx(x6) q[2], q[10];\ncrx(x62) q[2], q[9];\ncrx(x115) q[2], q[8];\ncrx(x116) q[2], q[7];\ncrx(x117) q[2], q[6];\ncrx(x8) q[2], q[5];\ncrx(x118) q[2], q[4];\ncrx(x119) q[2], q[3];\ncrx(x120) q[2], q[1];\ncrx(x121) q[2], q[0];\ncrx(x6) q[1], q[10];\ncrx(x62) q[1], q[9];\ncrx(x115) q[1], q[8];\ncrx(x116) q[1], q[7];\ncrx(x117) q[1], q[6];\ncrx(x8) q[1], q[5];\ncrx(x118) q[1], q[4];\ncrx(x119) q[1], q[3];\ncrx(x35) q[1], q[2];\ncrx(x121) q[1], q[0];\ncrx(x6) q[0], q[10];\ncrx(x62) q[0], q[9];\ncrx(x115) q[0], q[8];\ncrx(x116) q[0], q[7];\ncrx(x117) q[0], q[6];\ncrx(x8) q[0], q[5];\ncrx(x118) q[0], q[4];\ncrx(x119) q[0], q[3];\ncrx(x35) q[0], q[2];\ncrx(x120) q[0], q[1];\nrx(x122) q[0];\nrz(x123) q[0];\nrx(x64) q[1];\nrz(x124) q[1];\nrx(x125) q[2];\nrz(x126) q[2];\nrx(x127) q[3];\nrz(x16) q[3];\nrx(x128) q[4];\nrz(x129) q[4];\nrx(x130) q[5];\nrz(x131) q[5];\nrx(x66) q[6];\nrz(x132) q[6];\nrx(x105) q[7];\nrz(x133) q[7];\nrx(x105) q[8];\nrz(x134) q[8];\nrx(x135) q[9];\nrz(x118) q[9];\nrx(x10) q[10];\nrz(x136) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["31bcee1b066a63f64c6901bb1e1b69cb","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [5, 28], \"expectation_value\": -3.002348121085071, \"params\": null, \"bitstrings\": [\"111010\", \"100011\"], \"total_optimization_steps\": 30, \"probabilities\": [0.05888063726826326, 0.8445431773055133], \"optimization_time\": 21.57483220100403}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-3.25, -3.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"100011\", \"011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nry(-1.4449) q[0];\ncry(-1.3016) q[1], q[5];\nry(1.2945) q[3];\nry(0.7777) q[1];\nry(-0.6314) q[5];\ncry(1.319) q[1], q[2];\ncry(0.4657) q[3], q[1];\ncry(-0.1364) q[2], q[5];\ncry(-0.1259) q[2], q[0];\ncry(0.2389) q[1], q[3];\nry(0.2235) q[2];\ncry(-0.2645) q[5], q[2];\ncry(0.107) q[2], q[1];\ncry(0.0147) q[3], q[5];\ncry(-0.0732) q[5], q[1];\ncry(-0.0027) q[3], q[4];\ncry(-0.0031) q[1], q[0];\ncry(0.0136) q[2], q[3];\ncry(0.0047) q[3], q[0];\ncry(0.0182) q[5], q[0];\ncry(-0.0063) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":17333,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\ncry(0.4657) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\ncry(0.4657) q[3], q[1];\\ncry(-0.1364) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\ncry(0.4657) q[3], q[1];\\ncry(-0.1364) q[2], q[5];\\ncry(-0.1259) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\ncry(0.4657) q[3], q[1];\\ncry(-0.1364) q[2], q[5];\\ncry(-0.1259) q[2], q[0];\\ncry(0.2389) q[1], q[3];\\nc[0] = me"}}]
["b2a86e79e509d0d76748a475959a4d60","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [42, 46], \"expectation_value\": -1.6248820152843804, \"params\": [-0.0027, 0.0061, 0.992, 0.003, 1.6133000000000002, 0.0027, 1.0269000000000001, 0.0098, 1.6097000000000001, 0.005200000000000001, 1.5977000000000001, 0.0047, 1.6067, 0.002, 0.0026000000000000003, 0.0036000000000000003, 0.0016, 0.0044, 0.0026000000000000003, 0.005200000000000001, 0.0004, 0.0091, 0.0082, 0.0055000000000000005], \"bitstrings\": [\"11010101\", \"11010001\"], \"total_optimization_steps\": 160, \"probabilities\": [0.040051609198270256, 0.042266074013133606], \"optimization_time\": 4.1915364265441895}","0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(2) @ Z(5) @ Z(6)) + 0.125 * (Z(0) @ Z(2) @ Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(4) @ Z(6)) + -0.625 * Z(0) + -0.25 * Z(1) + 0.125 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.125 * Z(5) + 0.125 * Z(6) + -0.75 * Z(7)",18,8,1,"{\"smallest_eigenvalues\": [-3.625, -3.625, -3.625], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.625, \"smallest_bitstrings\": [\"11000101\", \"10011001\", \"11010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-0.0027) q[0];\nrz(0.0061) q[0];\nrx(0.992) q[1];\nrz(0.003) q[1];\nrx(1.6133) q[2];\nrz(0.0027) q[2];\nrx(1.0269) q[3];\nrz(0.0098) q[3];\nrx(1.6097) q[4];\nrz(0.0052) q[4];\nrx(1.5977) q[5];\nrz(0.0047) q[5];\nrx(1.6067) q[6];\nrz(0.002) q[6];\nrx(0.0026) q[7];\nrz(0.0036) q[7];\ncrz(0.0016) q[7], q[0];\ncrz(0.0055) q[6], q[7];\ncrz(0.0082) q[5], q[6];\ncrz(0.0091) q[4], q[5];\ncrz(0.0004) q[3], q[4];\ncrz(0.0052) q[2], q[3];\ncrz(0.0026) q[1], q[2];\ncrz(0.0044) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[0];\ncrz(x17) q[6], q[7];\ncrz(x18) q[5], q[6];\ncrz(x19) q[4], q[5];\ncrz(x20) q[3], q[4];\ncrz(x9) q[2], q[3];\ncrz(x14) q[1], q[2];\ncrz(x21) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["a5f43532e1723f6087760e0dbad85b40","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 6}]}","{\"states\": [56, 184], \"expectation_value\": -2.821208321170676, \"params\": [0.8052, -0.0045000000000000005, 0.0146, -0.219, 0.8061, -0.0034000000000000002, 0.7965, 0.006, 0.796, 0.0609, 0.5843, 0.0881, 0.7854, 0.0263, -0.0142, 0.396, 0.8068000000000001, 0.0386, 0.0258, -0.2364, 0.8098000000000001, -0.003, 0.7963, -0.0149, 0.7936000000000001, -0.32080000000000003, 0.5865, 0.1183, 0.7886000000000001, -0.059800000000000006, -0.023700000000000002, 0.0053, -0.7422000000000001, -0.005200000000000001, 0.7151000000000001, 0.6667000000000001, -0.23120000000000002, 0.1993, 0.7401, -0.7612, -0.0716, 0.7917000000000001, 0.5750000000000001, -0.08170000000000001, 0.5661, 0.7348], \"bitstrings\": [\"11000111\", \"01000111\"], \"total_optimization_steps\": 80, \"probabilities\": [0.0723343269710344, 0.07852819988733309], \"optimization_time\": 17.06595468521118}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.5 * Z(7) + 0.0 * Z(2) + -0.5 * Z(4) + 0.0 * Z(6)",4,8,2,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"01011001\", \"01010011\", \"01000111\", \"01111000\", \"01001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.8052) q[0];\nrz(-0.0045) q[0];\nrx(0.0146) q[1];\nrz(-0.219) q[1];\nrx(0.8061) q[2];\nrz(-0.0034) q[2];\nrx(0.7965) q[3];\nrz(0.006) q[3];\nrx(0.796) q[4];\nrz(0.0609) q[4];\nrx(0.5843) q[5];\nrz(0.0881) q[5];\nrx(0.7854) q[6];\nrz(0.0263) q[6];\nrx(-0.0142) q[7];\nrz(0.396) q[7];\ncrx(0.7401) q[7], q[6];\ncrx(0.1993) q[6], q[5];\ncrx(-0.2312) q[5], q[4];\ncrx(0.6667) q[4], q[3];\ncrx(0.7151) q[3], q[2];\ncrx(-0.0052) q[2], q[1];\ncrx(-0.7422) q[1], q[0];\nrx(0.8068) q[0];\nrz(0.0386) q[0];\nrx(0.0258) q[1];\nrz(-0.2364) q[1];\nrx(0.8098) q[2];\nrz(-0.003) q[2];\nrx(0.7963) q[3];\nrz(-0.0149) q[3];\nrx(0.7936) q[4];\nrz(-0.3208) q[4];\nrx(0.5865) q[5];\nrz(0.1183) q[5];\nrx(0.7886) q[6];\nrz(-0.0598) q[6];\nrx(-0.0237) q[7];\nrz(0.0053) q[7];\ncrx(0.7348) q[7], q[6];\ncrx(0.5661) q[6], q[5];\ncrx(-0.0817) q[5], q[4];\ncrx(0.575) q[4], q[3];\ncrx(0.7917) q[3], q[2];\ncrx(-0.0716) q[2], q[1];\ncrx(-0.7612) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[6], q[5];\ncrx(x18) q[5], q[4];\ncrx(x19) q[4], q[3];\ncrx(x20) q[3], q[2];\ncrx(x21) q[2], q[1];\ncrx(x22) q[1], q[0];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\ncrx(x39) q[7], q[6];\ncrx(x40) q[6], q[5];\ncrx(x41) q[5], q[4];\ncrx(x42) q[4], q[3];\ncrx(x43) q[3], q[2];\ncrx(x44) q[2], q[1];\ncrx(x45) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["13b5396df6ad27aea05f400e3a29be63","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 7}, {\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}]}","{\"states\": [176, 177], \"expectation_value\": -5.686306546056345, \"params\": [-0.007, -0.0126, 0.39730000000000004, 0.3985, 0.3582, 0.3492, 0.40690000000000004, 0.4016, 0.4038, 0.4027, -0.016900000000000002, -0.0109, -0.0006000000000000001, 0.0004, 0.0099, 0.0071, 0.39940000000000003, 0.39690000000000003, -0.013300000000000001, -0.0098, 0.4042, 0.396, 0.3418, 0.32380000000000003, 0.3996, 0.4055, 0.4055, 0.40140000000000003, -0.014, -0.016900000000000002, -0.0079, -0.0031000000000000003, 0.007, 0.0006000000000000001, 0.4015, 0.406, -0.1265, 0.053700000000000005, -0.221, -0.2513, 0.2805, -0.2275, 0.37870000000000004, 0.29510000000000003, 0.23720000000000002, 0.3911, -0.0315, 0.3284, 0.36360000000000003, 0.0791, 0.08660000000000001, 0.17120000000000002, 0.183, 0.2164, 0.0329, 0.0671, 0.2018, -0.2792, -0.2874, 0.15410000000000001, 0.386, -0.23240000000000002, 0.3926, 0.3934, -0.1076, 0.3941, 0.0886, 0.049, -0.26430000000000003, 0.0015, 0.37820000000000004, -0.0068000000000000005], \"bitstrings\": [\"101001111\", \"101001110\"], \"total_optimization_steps\": 40, \"probabilities\": [0.05494180976750466, 0.05843689965603494], \"optimization_time\": 8.101181983947754}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -2.0 * Z(5) + -1.5 * Z(7) + -1.0 * Z(8) + -1.5 * Z(6) + 0.0 * Z(3) + -1.0 * Z(4)",14,9,2,"{\"smallest_eigenvalues\": [-7.5, -7.5, -7.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"101011100\", \"110001110\", \"101001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(-0.007) q[0];\nry(0.3973) q[1];\nry(0.3582) q[2];\nry(0.4069) q[3];\nry(0.4038) q[4];\nry(-0.0169) q[5];\nry(-0.0006) q[6];\nry(0.0099) q[7];\nry(0.3994) q[8];\ncrx(-0.1265) q[8], q[0];\ncrx(0.183) q[7], q[8];\ncrx(0.0866) q[6], q[7];\ncrx(0.3636) q[5], q[6];\ncrx(-0.0315) q[4], q[5];\ncrx(0.2372) q[3], q[4];\ncrx(0.3787) q[2], q[3];\ncrx(0.2805) q[1], q[2];\ncrx(-0.221) q[0], q[1];\nry(-0.0126) q[0];\nry(0.3985) q[1];\nry(0.3492) q[2];\nry(0.4016) q[3];\nry(0.4027) q[4];\nry(-0.0109) q[5];\nry(0.0004) q[6];\nry(0.0071) q[7];\nry(0.3969) q[8];\ncrx(0.0537) q[8], q[7];\ncrx(-0.2513) q[0], q[8];\ncrx(-0.2275) q[0], q[1];\ncrx(0.2951) q[1], q[2];\ncrx(0.3911) q[2], q[3];\ncrx(0.3284) q[3], q[4];\ncrx(0.0791) q[4], q[5];\ncrx(0.1712) q[5], q[6];\ncrx(0.2164) q[6], q[7];\nry(-0.0133) q[0];\nry(0.4042) q[1];\nry(0.3418) q[2];\nry(0.3996) q[3];\nry(0.4055) q[4];\nry(-0.014) q[5];\nry(-0.0079) q[6];\nry(0.007) q[7];\nry(0.4015) q[8];\ncrx(0.0329) q[8], q[0];\ncrx(0.3782) q[7], q[8];\ncrx(-0.2643) q[6], q[7];\ncrx(0.0886) q[5], q[6];\ncrx(-0.1076) q[4], q[5];\ncrx(0.3926) q[3], q[4];\ncrx(0.386) q[2], q[3];\ncrx(-0.2874) q[1], q[2];\ncrx(0.2018) q[0], q[1];\nry(-0.0098) q[0];\nry(0.396) q[1];\nry(0.3238) q[2];\nry(0.4055) q[3];\nry(0.4014) q[4];\nry(-0.0169) q[5];\nry(-0.0031) q[6];\nry(0.0006) q[7];\nry(0.406) q[8];\ncrx(0.0671) q[8], q[7];\ncrx(-0.2792) q[0], q[8];\ncrx(0.1541) q[0], q[1];\ncrx(-0.2324) q[1], q[2];\ncrx(0.3934) q[2], q[3];\ncrx(0.3941) q[3], q[4];\ncrx(0.049) q[4], q[5];\ncrx(0.0015) q[5], q[6];\ncrx(-0.0068) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x31) q[2], q[3];\ncrx(x32) q[3], q[4];\ncrx(x33) q[4], q[5];\ncrx(x34) q[5], q[6];\ncrx(x35) q[6], q[7];\nry(x36) q[0];\nry(x37) q[1];\nry(x38) q[2];\nry(x39) q[3];\nry(x40) q[4];\nry(x41) q[5];\nry(x42) q[6];\nry(x43) q[7];\nry(x44) q[8];\ncrx(x45) q[8], q[0];\ncrx(x46) q[7], q[8];\ncrx(x47) q[6], q[7];\ncrx(x48) q[5], q[6];\ncrx(x49) q[4], q[5];\ncrx(x50) q[3], q[4];\ncrx(x51) q[2], q[3];\ncrx(x52) q[1], q[2];\ncrx(x53) q[0], q[1];\nry(x54) q[0];\nry(x55) q[1];\nry(x56) q[2];\nry(x40) q[3];\nry(x57) q[4];\nry(x5) q[5];\nry(x58) q[6];\nry(x59) q[7];\nry(x60) q[8];\ncrx(x61) q[8], q[7];\ncrx(x62) q[0], q[8];\ncrx(x63) q[0], q[1];\ncrx(x64) q[1], q[2];\ncrx(x65) q[2], q[3];\ncrx(x66) q[3], q[4];\ncrx(x67) q[4], q[5];\ncrx(x68) q[5], q[6];\ncrx(x69) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["18312d59afcaa473ce6d4f831ea41fc6","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 8, \"target\": 11}, {\"source\": 9, \"target\": 11}, {\"source\": 10, \"target\": 11}]}","{\"states\": [127, 2047], \"expectation_value\": -18.293829736146144, \"params\": [[[-0.0027, 0.00030000000000000003], [-0.0023, 0.0008], [-0.0021000000000000003, 0.0054], [1.5088000000000001, 0.0076], [0.0021000000000000003, 0.0046], [0.002, 0.0092], [1.4774, 0.0073], [-0.0024000000000000002, 0.009000000000000001], [-0.0029000000000000002, 0.0013000000000000002], [-0.0029000000000000002, 0.0027], [1.7082000000000002, 0.0008]]], \"bitstrings\": [\"11110000000\", \"00000000000\"], \"total_optimization_steps\": 170, \"probabilities\": [0.1457498898954641, 0.1650004707327431], \"optimization_time\": 3.6832964420318604}","-2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + 1.0 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + -1.0 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(10)",2,11,1,"{\"smallest_eigenvalues\": [-22.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.5, \"smallest_bitstrings\": [\"00000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.0027) q[0];\nrz(0.0003) q[0];\nrx(-0.0023) q[1];\nrz(0.0008) q[1];\nrx(-0.0021) q[2];\nrz(0.0054) q[2];\nrx(1.5088) q[3];\nrz(0.0076) q[3];\nrx(0.0021) q[4];\nrz(0.0046) q[4];\nrx(0.002) q[5];\nrz(0.0092) q[5];\nrx(1.4774) q[6];\nrz(0.0073) q[6];\nrx(-0.0024) q[7];\nrz(0.009) q[7];\nrx(-0.0029) q[8];\nrz(0.0013) q[8];\nrx(-0.0029) q[9];\nrz(0.0027) q[9];\nrx(1.7082) q[10];\nrz(0.0008) q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x16) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x3) q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["bbe36c72142a04c8b1698fed3f77c25c","hamiltonian_path","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 1}, {\"weight\": 20, \"source\": 0, \"target\": 3}, {\"weight\": 7, \"source\": 1, \"target\": 2}, {\"weight\": 17, \"source\": 1, \"target\": 3}, {\"weight\": 24, \"source\": 1, \"target\": 4}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 5, \"source\": 3, \"target\": 4}]}","{\"states\": [171, 427], \"expectation_value\": -4.918969252088818, \"params\": [[[0.6577000000000001, -0.12300000000000001, 0.0038, 0.0079], [0.8582000000000001, -0.27040000000000003, 0.17370000000000002, 0.0007], [-0.079, -0.0984, 0.0083, -0.091], [0.5879, 0.1022, 0.6982, 0.0046], [0.0026000000000000003, -0.327, 0.0064, -0.3294], [0.48700000000000004, -0.015700000000000002, 0.48210000000000003, 0.0026000000000000003], [0.0195, 0.0159, 0.0057, 0.0115], [0.9488000000000001, 0.0073, 0.9851000000000001, 0.0094], [1.2687000000000002, 0.0028, 0.0044, 0.007]], [[0.0877, 0.2019, 0.0067, 0.0021000000000000003], [0.027600000000000003, 0.18530000000000002, 0.6788000000000001, 0.0057], [0.26430000000000003, -0.3214, 0.001, -0.3294], [0.6920000000000001, -0.0732, 0.1227, 0.0047], [-0.0015, -0.1013, 0.0011, -0.09620000000000001], [0.3906, -0.0068000000000000005, 0.3934, 0.0082], [0.029500000000000002, 0.2916, 0.001, 0.29300000000000004], [0.4751, 0.0222, -0.1587, 0.0074], [-0.6497, 0.0013000000000000002, 0.0012000000000000001, 0.003]], [[1.1565, 0.0032, 0.0041, 0.0006000000000000001], [0.552, 0.050300000000000004, -0.161, 0.005200000000000001], [0.6486000000000001, 0.0058000000000000005, 0.009300000000000001, 0.0032], [0.1269, -0.3225, 0.0821, 0.0029000000000000002], [0.002, 0.0059, 0.0002, 0.0083], [0.17800000000000002, 0.0398, 0.17880000000000001, 0.0074], [0.6701, 0.0025, 0.0058000000000000005, 0.0059], [0.39480000000000004, 0.08650000000000001, -0.0766, 0.0045000000000000005], [1.2827, 0.007, 0.003, 0.0081]]], \"bitstrings\": [\"101010100\", \"001010100\"], \"total_optimization_steps\": 130, \"probabilities\": [0.28717133812810774, 0.47181691938454917], \"optimization_time\": 32.61416029930115}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.0 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(3) + 1.0 * Z(4) + 1.0 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8)",12,9,3,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001010100\", \"001100010\", \"010001100\", \"010100001\", \"100010001\", \"100001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.6577) q[0];\nrz(-0.123) q[0];\nry(0.8582) q[1];\nrz(-0.2704) q[1];\nry(-0.079) q[2];\nrz(-0.0984) q[2];\nry(0.5879) q[3];\nrz(0.1022) q[3];\nry(0.0026) q[4];\nrz(-0.327) q[4];\nry(0.487) q[5];\nrz(-0.0157) q[5];\nry(0.0195) q[6];\nrz(0.0159) q[6];\nry(0.9488) q[7];\nrz(0.0073) q[7];\nry(1.2687) q[8];\nrz(0.0028) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(0.1737) q[1];\nry(0.1737) q[1];\nrz(-0.091) q[2];\nrz(-0.091) q[2];\ncz q[2], q[1];\nry(0.6982) q[3];\nry(0.6982) q[3];\nrz(-0.3294) q[4];\nrz(-0.3294) q[4];\ncz q[4], q[3];\nry(0.4821) q[5];\nry(0.4821) q[5];\nrz(0.0115) q[6];\nrz(0.0115) q[6];\ncz q[6], q[5];\nry(0.9851) q[7];\nry(0.9851) q[7];\ncz q[8], q[7];\nry(0.0877) q[0];\nrz(0.2019) q[0];\nry(0.0276) q[1];\nrz(0.1853) q[1];\nry(0.2643) q[2];\nrz(-0.3214) q[2];\nry(0.692) q[3];\nrz(-0.0732) q[3];\nry(-0.0015) q[4];\nrz(-0.1013) q[4];\nry(0.3906) q[5];\nrz(-0.0068) q[5];\nry(0.0295) q[6];\nrz(0.2916) q[6];\nry(0.4751) q[7];\nrz(0.0222) q[7];\nry(-0.6497) q[8];\nrz(0.0013) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(0.6788) q[1];\nry(0.6788) q[1];\nrz(-0.3294) q[2];\nrz(-0.3294) q[2];\ncz q[2], q[1];\nry(0.1227) q[3];\nry(0.1227) q[3];\nrz(-0.0962) q[4];\nrz(-0.0962) q[4];\ncz q[4], q[3];\nry(0.3934) q[5];\nry(0.3934) q[5];\nrz(0.293) q[6];\nrz(0.293) q[6];\ncz q[6], q[5];\nry(-0.1587) q[7];\nry(-0.1587) q[7];\ncz q[8], q[7];\nry(1.1565) q[0];\nrz(0.0032) q[0];\nry(0.552) q[1];\nrz(0.0503) q[1];\nry(0.6486) q[2];\nrz(0.0058) q[2];\nry(0.1269) q[3];\nrz(-0.3225) q[3];\nry(0.002) q[4];\nrz(0.0059) q[4];\nry(0.178) q[5];\nrz(0.0398) q[5];\nry(0.6701) q[6];\nrz(0.0025) q[6];\nry(0.3948) q[7];\nrz(0.0865) q[7];\nry(1.2827) q[8];\nrz(0.007) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(-0.161) q[1];\nry(-0.161) q[1];\nrz(0.0032) q[2];\nrz(0.0032) q[2];\ncz q[2], q[1];\nry(0.0821) q[3];\nry(0.0821) q[3];\nrz(0.0083) q[4];\nrz(0.0083) q[4];\ncz q[4], q[3];\nry(0.1788) q[5];\nry(0.1788) q[5];\nrz(0.0059) q[6];\nrz(0.0059) q[6];\ncz q[6], q[5];\nry(-0.0766) q[7];\nry(-0.0766) q[7];\ncz q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(x18) q[1];\nry(x18) q[1];\nrz(x19) q[2];\nrz(x19) q[2];\ncz q[2], q[1];\nry(x20) q[3];\nry(x20) q[3];\nrz(x21) q[4];\nrz(x21) q[4];\ncz q[4], q[3];\nry(x22) q[5];\nry(x22) q[5];\nrz(x23) q[6];\nrz(x23) q[6];\ncz q[6], q[5];\nry(x24) q[7];\nry(x24) q[7];\ncz q[8], q[7];\nry(x25) q[0];\nrz(x26) q[0];\nry(x27) q[1];\nrz(x28) q[1];\nry(x29) q[2];\nrz(x30) q[2];\nry(x31) q[3];\nrz(x32) q[3];\nry(x33) q[4];\nrz(x34) q[4];\nry(x35) q[5];\nrz(x36) q[5];\nry(x37) q[6];\nrz(x38) q[6];\nry(x39) q[7];\nrz(x40) q[7];\nry(x41) q[8];\nrz(x42) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(x43) q[1];\nry(x43) q[1];\nrz(x21) q[2];\nrz(x21) q[2];\ncz q[2], q[1];\nry(x44) q[3];\nry(x44) q[3];\nrz(x45) q[4];\nrz(x45) q[4];\ncz q[4], q[3];\nry(x46) q[5];\nry(x46) q[5];\nrz(x47) q[6];\nrz(x47) q[6];\ncz q[6], q[5];\nry(x48) q[7];\nry(x48) q[7];\ncz q[8], q[7];\nry(x49) q[0];\nrz(x50) q[0];\nry(x51) q[1];\nrz(x52) q[1];\nry(x53) q[2];\nrz(x54) q[2];\nry(x55) q[3];\nrz(x56) q[3];\nry(x57) q[4];\nrz(x58) q[4];\nry(x59) q[5];\nrz(x60) q[5];\nry(x61) q[6];\nrz(x62) q[6];\nry(x63) q[7];\nrz(x64) q[7];\nry(x65) q[8];\nrz(x66) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(x67) q[1];\nry(x67) q[1];\nrz(x50) q[2];\nrz(x50) q[2];\ncz q[2], q[1];\nry(x68) q[3];\nry(x68) q[3];\nrz(x69) q[4];\nrz(x69) q[4];\ncz q[4], q[3];\nry(x70) q[5];\nry(x70) q[5];\nrz(x58) q[6];\nrz(x58) q[6];\ncz q[6], q[5];\nry(x71) q[7];\nry(x71) q[7];\ncz q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"start_node\": 0, \"end_node\": 4}","{\"circuits\": [], \"gradients\": []}"]
["ffaba4815bf0e67a2be83da1ce70c0be","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 19, \"source\": 0, \"target\": 5}, {\"weight\": 14, \"source\": 1, \"target\": 3}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 15, \"source\": 2, \"target\": 5}, {\"weight\": 19, \"source\": 3, \"target\": 4}, {\"weight\": 19, \"source\": 3, \"target\": 5}, {\"weight\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [238, 110], \"expectation_value\": -13.575146151843198, \"params\": [[-0.0281], [0.0767]], \"bitstrings\": [\"00010001\", \"10010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006945080863537039, 0.007882976330895686], \"optimization_time\": 2.0151994228363037}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 5.0 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 15.5 * Z(4) + 17.5 * Z(5) + 25.5 * Z(6) + 8.5 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-85.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -79.0, \"smallest_bitstrings\": [\"10010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2248) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.2248) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(-0.2248) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.2248) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.2248) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.2248) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.2248) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.2248) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.2248) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.2248) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.2248) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.2248) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(-0.2248) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(-0.2248) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.2248) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.2248) q[7];\ncx q[6], q[7];\nrz(-0.9835) q[1];\nrz(-0.281) q[0];\nrz(-0.843) q[2];\nrz(-0.4777) q[3];\nrz(-0.8711) q[4];\nrz(-0.9835) q[5];\nrz(-1.4331) q[6];\nrz(-0.4777) q[7];\nh q[0];\nrz(0.1534) q[0];\nh q[0];\nh q[1];\nrz(0.1534) q[1];\nh q[1];\nh q[2];\nrz(0.1534) q[2];\nh q[2];\nh q[3];\nrz(0.1534) q[3];\nh q[3];\nh q[4];\nrz(0.1534) q[4];\nh q[4];\nh q[5];\nrz(0.1534) q[5];\nh q[5];\nh q[6];\nrz(0.1534) q[6];\nh q[6];\nh q[7];\nrz(0.1534) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x1) q[5];\nrz(x6) q[6];\nrz(x4) q[7];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["9654c545357abbe9e95dba48af827af6","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 3}, {\"weight\": 19, \"source\": 0, \"target\": 4}, {\"weight\": 13, \"source\": 0, \"target\": 6}, {\"weight\": 6, \"source\": 1, \"target\": 4}, {\"weight\": 19, \"source\": 1, \"target\": 6}, {\"weight\": 20, \"source\": 1, \"target\": 3}, {\"weight\": 7, \"source\": 2, \"target\": 5}, {\"weight\": 13, \"source\": 2, \"target\": 4}]}","{\"states\": [214, 118], \"expectation_value\": -9.398559295315435, \"params\": [[0.054200000000000005], [-0.07540000000000001]], \"bitstrings\": [\"00101001\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00787219871475043, 0.008342303601752437], \"optimization_time\": 1.6480014324188232}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.0 * Z(0) + 10.5 * Z(2) + 13.5 * Z(5) + 14.0 * Z(3) + 11.0 * Z(4) + 10.5 * Z(6) + -0.5 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-63.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -58.5, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.4336) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.4336) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.4336) q[2];\ncx q[0], q[2];\ncx q[2], q[5];\nrz(0.4336) q[5];\ncx q[2], q[5];\ncx q[0], q[3];\nrz(0.4336) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(0.4336) q[3];\ncx q[5], q[3];\ncx q[1], q[4];\nrz(0.4336) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(0.4336) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(0.4336) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(0.4336) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(0.4336) q[6];\ncx q[4], q[6];\ncx q[6], q[7];\nrz(0.4336) q[7];\ncx q[6], q[7];\nrz(1.897) q[1];\nrz(0.8672) q[0];\nrz(1.1382) q[2];\nrz(1.4634) q[5];\nrz(1.5176) q[3];\nrz(1.1924) q[4];\nrz(1.1382) q[6];\nrz(-0.0542) q[7];\nh q[0];\nrz(-0.1508) q[0];\nh q[0];\nh q[1];\nrz(-0.1508) q[1];\nh q[1];\nh q[2];\nrz(-0.1508) q[2];\nh q[2];\nh q[3];\nrz(-0.1508) q[3];\nh q[3];\nh q[4];\nrz(-0.1508) q[4];\nh q[4];\nh q[5];\nrz(-0.1508) q[5];\nh q[5];\nh q[6];\nrz(-0.1508) q[6];\nh q[6];\nh q[7];\nrz(-0.1508) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[5];\nrz(x5) q[3];\nrz(x6) q[4];\nrz(x3) q[6];\nrz(x7) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6]}\"}","{\"circuits\": [], \"gradients\": []}"]
["-6567492544936906166","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[8, 0, 4, 7], [1, 2, 4], [8, 3, 4], [8, 5, 6, 7], [0, 1, 2, 6, 7, 8], [1, 5, 7], [0, 1, 4, 7], [3, 4, 6, 7], [1, 3], [8, 2, 5, 6], [0, 8, 4, 6], [2, 3, 7]]}","{\"states\": [382, 215], \"expectation_value\": -1.6698072345446542, \"params\": [[-0.3477], [0.3604]], \"bitstrings\": [\"010000001\", \"100101000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.007888493323724079, 0.008196077992105593], \"optimization_time\": 5.621938467025757}","0.2 * (Z(8) @ Z(0)) + 0.25 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(8)) + 0.2 * (Z(7) @ Z(0)) + 0.19999999999999998 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(4)) + 0.2833333333333333 * (Z(1) @ Z(7)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.11666666666666667 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.19999999999999998 * (Z(2) @ Z(7)) + 0.19999999999999998 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(6) @ Z(0)) + 0.2833333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.2 * (Z(6) @ Z(7)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.4583333333333334 * Z(0) + 0.75 * Z(8) + 0.8333333333333335 * Z(4) + 0.9166666666666666 * Z(7) + 0.541666666666667 * Z(1) + 0.5416666666666666 * Z(2) + 0.45833333333333326 * Z(3) + 0.41666666666666663 * Z(5) + 0.5833333333333335 * Z(6)",1,9,1,"{\"smallest_eigenvalues\": [-3.166666666666668], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.116666666666668, \"smallest_bitstrings\": [\"100101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[0], q[8];\nrz(-0.1391) q[8];\ncx q[0], q[8];\ncx q[0], q[4];\nrz(-0.1739) q[4];\ncx q[0], q[4];\ncx q[8], q[4];\nrz(-0.2318) q[4];\ncx q[8], q[4];\ncx q[0], q[7];\nrz(-0.1391) q[7];\ncx q[0], q[7];\ncx q[8], q[7];\nrz(-0.1391) q[7];\ncx q[8], q[7];\ncx q[4], q[7];\nrz(-0.1739) q[7];\ncx q[4], q[7];\ncx q[0], q[1];\nrz(-0.0811) q[1];\ncx q[0], q[1];\ncx q[8], q[1];\nrz(-0.0232) q[1];\ncx q[8], q[1];\ncx q[4], q[1];\nrz(-0.1739) q[1];\ncx q[4], q[1];\ncx q[7], q[1];\nrz(-0.197) q[1];\ncx q[7], q[1];\ncx q[0], q[2];\nrz(-0.0232) q[2];\ncx q[0], q[2];\ncx q[8], q[2];\nrz(-0.0811) q[2];\ncx q[8], q[2];\ncx q[4], q[2];\nrz(-0.1159) q[2];\ncx q[4], q[2];\ncx q[7], q[2];\nrz(-0.1391) q[2];\ncx q[7], q[2];\ncx q[1], q[2];\nrz(-0.1391) q[2];\ncx q[1], q[2];\ncx q[8], q[3];\nrz(-0.1159) q[3];\ncx q[8], q[3];\ncx q[4], q[3];\nrz(-0.1739) q[3];\ncx q[4], q[3];\ncx q[7], q[3];\nrz(-0.1739) q[3];\ncx q[7], q[3];\ncx q[1], q[3];\nrz(-0.3477) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.1159) q[3];\ncx q[2], q[3];\ncx q[8], q[5];\nrz(-0.1159) q[5];\ncx q[8], q[5];\ncx q[7], q[5];\nrz(-0.1739) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(-0.1159) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.058) q[5];\ncx q[2], q[5];\ncx q[0], q[6];\nrz(-0.0811) q[6];\ncx q[0], q[6];\ncx q[8], q[6];\nrz(-0.197) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(-0.1159) q[6];\ncx q[4], q[6];\ncx q[7], q[6];\nrz(-0.1391) q[6];\ncx q[7], q[6];\ncx q[1], q[6];\nrz(-0.0232) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.0811) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.058) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.1159) q[6];\ncx q[5], q[6];\nrz(-0.3187) q[0];\nrz(-0.5215) q[8];\nrz(-0.5795) q[4];\nrz(-0.6374) q[7];\nrz(-0.3767) q[1];\nrz(-0.3767) q[2];\nrz(-0.3187) q[3];\nrz(-0.2898) q[5];\nrz(-0.4057) q[6];\nh q[0];\nrz(0.7208) q[0];\nh q[0];\nh q[1];\nrz(0.7208) q[1];\nh q[1];\nh q[2];\nrz(0.7208) q[2];\nh q[2];\nh q[3];\nrz(0.7208) q[3];\nh q[3];\nh q[4];\nrz(0.7208) q[4];\nh q[4];\nh q[5];\nrz(0.7208) q[5];\nh q[5];\nh q[6];\nrz(0.7208) q[6];\nh q[6];\nh q[7];\nrz(0.7208) q[7];\nh q[7];\nh q[8];\nrz(0.7208) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[0], q[8];\nrz(x0) q[8];\ncx q[0], q[8];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[8], q[4];\nrz(x2) q[4];\ncx q[8], q[4];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[0], q[1];\nrz(x3) q[1];\ncx q[0], q[1];\ncx q[8], q[1];\nrz(x4) q[1];\ncx q[8], q[1];\ncx q[4], q[1];\nrz(x1) q[1];\ncx q[4], q[1];\ncx q[7], q[1];\nrz(x5) q[1];\ncx q[7], q[1];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[8], q[2];\nrz(x3) q[2];\ncx q[8], q[2];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\ncx q[7], q[2];\nrz(x0) q[2];\ncx q[7], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[8], q[3];\nrz(x6) q[3];\ncx q[8], q[3];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[7], q[3];\nrz(x1) q[3];\ncx q[7], q[3];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[8], q[5];\nrz(x6) q[5];\ncx q[8], q[5];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[8], q[6];\nrz(x5) q[6];\ncx q[8], q[6];\ncx q[4], q[6];\nrz(x6) q[6];\ncx q[4], q[6];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[1], q[6];\nrz(x4) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x3) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x8) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\nrz(x9) q[0];\nrz(x10) q[8];\nrz(x11) q[4];\nrz(x12) q[7];\nrz(x13) q[1];\nrz(x13) q[2];\nrz(x9) q[3];\nrz(x14) q[5];\nrz(x15) q[6];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nh q[6];\nrz(x16) q[6];\nh q[6];\nh q[7];\nrz(x16) q[7];\nh q[7];\nh q[8];\nrz(x16) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["8bd549bac35fc0555b3d70370196edc2","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [98, 226], \"expectation_value\": -3.9861700750806777, \"params\": [0.8014, -0.001, 0.8072, 0.0036000000000000003, 0.7989, 0.0033, -0.009600000000000001, 0.3986, -0.0161, 0.45470000000000005, -0.0083, 0.4893, 0.8105, 0.22410000000000002, 0.30060000000000003, 0.2303, 0.8036000000000001, 0.0055000000000000005, 0.807, 0.0001, 0.8079000000000001, 0.0021000000000000003, -0.018000000000000002, 0.0063, -0.0122, 0.0013000000000000002, -0.0059, 0.0039000000000000003, 0.804, 0.001, 0.30060000000000003, 0.0016, -0.0033, 0.0026000000000000003, -0.39840000000000003, -0.4474, 0.0711, 0.445, -0.2185, 0.0098, 0.0024000000000000002, 0.0036000000000000003, 0.0021000000000000003, 0.0054, 0.0092, 0.0048000000000000004], \"bitstrings\": [\"10011101\", \"00011101\"], \"total_optimization_steps\": 80, \"probabilities\": [0.06219494856945335, 0.0666001785623469], \"optimization_time\": 8.43858289718628}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(7) + -0.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6)",3,8,2,"{\"smallest_eigenvalues\": [-6.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"00011101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.8014) q[0];\nrz(-0.001) q[0];\nrx(0.8072) q[1];\nrz(0.0036) q[1];\nrx(0.7989) q[2];\nrz(0.0033) q[2];\nrx(-0.0096) q[3];\nrz(0.3986) q[3];\nrx(-0.0161) q[4];\nrz(0.4547) q[4];\nrx(-0.0083) q[5];\nrz(0.4893) q[5];\nrx(0.8105) q[6];\nrz(0.2241) q[6];\nrx(0.3006) q[7];\nrz(0.2303) q[7];\ncrz(-0.2185) q[7], q[6];\ncrz(0.445) q[6], q[5];\ncrz(0.0711) q[5], q[4];\ncrz(-0.4474) q[4], q[3];\ncrz(-0.3984) q[3], q[2];\ncrz(0.0026) q[2], q[1];\ncrz(-0.0033) q[1], q[0];\nrx(0.8036) q[0];\nrz(0.0055) q[0];\nrx(0.807) q[1];\nrz(0.0001) q[1];\nrx(0.8079) q[2];\nrz(0.0021) q[2];\nrx(-0.018) q[3];\nrz(0.0063) q[3];\nrx(-0.0122) q[4];\nrz(0.0013) q[4];\nrx(-0.0059) q[5];\nrz(0.0039) q[5];\nrx(0.804) q[6];\nrz(0.001) q[6];\nrx(0.3006) q[7];\nrz(0.0016) q[7];\ncrz(0.0048) q[7], q[6];\ncrz(0.0092) q[6], q[5];\ncrz(0.0054) q[5], q[4];\ncrz(0.0021) q[4], q[3];\ncrz(0.0036) q[3], q[2];\ncrz(0.0024) q[2], q[1];\ncrz(0.0098) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[6], q[5];\ncrz(x18) q[5], q[4];\ncrz(x19) q[4], q[3];\ncrz(x20) q[3], q[2];\ncrz(x21) q[2], q[1];\ncrz(x22) q[1], q[0];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x14) q[7];\nrz(x37) q[7];\ncrz(x38) q[7], q[6];\ncrz(x39) q[6], q[5];\ncrz(x40) q[5], q[4];\ncrz(x28) q[4], q[3];\ncrz(x3) q[3], q[2];\ncrz(x41) q[2], q[1];\ncrz(x42) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["8f9556ded5862d313741f5f580f26f44","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 3}, {\"weight\": 11, \"source\": 1, \"target\": 6}, {\"weight\": 13, \"source\": 1, \"target\": 4}, {\"weight\": 2, \"source\": 2, \"target\": 3}, {\"weight\": 16, \"source\": 2, \"target\": 7}, {\"weight\": 20, \"source\": 2, \"target\": 5}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 3, \"source\": 6, \"target\": 7}]}","{\"states\": [345, 236], \"expectation_value\": -18.463910948219542, \"params\": [[0.0099, -0.029400000000000003, -0.024900000000000002, -0.0011], [-0.0216, 0.0446, 0.062400000000000004, 0.0582]], \"bitstrings\": [\"010100110\", \"100010011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.007297965962128545, 0.011490316000045705], \"optimization_time\": 7.014007806777954}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 6.0 * Z(1) + 5.5 * Z(0) + 10.0 * Z(3) + 11.0 * Z(2) + 5.5 * Z(4) + 14.5 * Z(5) + 12.5 * Z(6) + 0.5 * Z(7) + 1.5 * Z(8)",1,9,4,"{\"smallest_eigenvalues\": [-77.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -62.0, \"smallest_bitstrings\": [\"100010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.0891) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.0891) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(0.0891) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.0891) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(0.0891) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(0.0891) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(0.0891) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0891) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.0891) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.0891) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(0.0891) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(0.0891) q[8];\ncx q[6], q[8];\nrz(0.1188) q[1];\nrz(0.1089) q[0];\nrz(0.198) q[3];\nrz(0.2178) q[2];\nrz(0.1089) q[4];\nrz(0.2871) q[5];\nrz(0.2475) q[6];\nrz(0.0099) q[7];\nrz(0.0297) q[8];\nh q[0];\nrz(-0.0432) q[0];\nh q[0];\nh q[1];\nrz(-0.0432) q[1];\nh q[1];\nh q[2];\nrz(-0.0432) q[2];\nh q[2];\nh q[3];\nrz(-0.0432) q[3];\nh q[3];\nh q[4];\nrz(-0.0432) q[4];\nh q[4];\nh q[5];\nrz(-0.0432) q[5];\nh q[5];\nh q[6];\nrz(-0.0432) q[6];\nh q[6];\nh q[7];\nrz(-0.0432) q[7];\nh q[7];\nh q[8];\nrz(-0.0432) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.2646) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.2646) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(-0.2646) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.2646) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.2646) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(-0.2646) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(-0.2646) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.2646) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.2646) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.2646) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(-0.2646) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(-0.2646) q[8];\ncx q[6], q[8];\nrz(-0.3528) q[1];\nrz(-0.3234) q[0];\nrz(-0.588) q[3];\nrz(-0.6468) q[2];\nrz(-0.3234) q[4];\nrz(-0.8526) q[5];\nrz(-0.735) q[6];\nrz(-0.0294) q[7];\nrz(-0.0882) q[8];\nh q[0];\nrz(0.0892) q[0];\nh q[0];\nh q[1];\nrz(0.0892) q[1];\nh q[1];\nh q[2];\nrz(0.0892) q[2];\nh q[2];\nh q[3];\nrz(0.0892) q[3];\nh q[3];\nh q[4];\nrz(0.0892) q[4];\nh q[4];\nh q[5];\nrz(0.0892) q[5];\nh q[5];\nh q[6];\nrz(0.0892) q[6];\nh q[6];\nh q[7];\nrz(0.0892) q[7];\nh q[7];\nh q[8];\nrz(0.0892) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.2241) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.2241) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(-0.2241) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.2241) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.2241) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(-0.2241) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(-0.2241) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.2241) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.2241) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.2241) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(-0.2241) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(-0.2241) q[8];\ncx q[6], q[8];\nrz(-0.2988) q[1];\nrz(-0.2739) q[0];\nrz(-0.498) q[3];\nrz(-0.5478) q[2];\nrz(-0.2739) q[4];\nrz(-0.7221) q[5];\nrz(-0.6225) q[6];\nrz(-0.0249) q[7];\nrz(-0.0747) q[8];\nh q[0];\nrz(0.1248) q[0];\nh q[0];\nh q[1];\nrz(0.1248) q[1];\nh q[1];\nh q[2];\nrz(0.1248) q[2];\nh q[2];\nh q[3];\nrz(0.1248) q[3];\nh q[3];\nh q[4];\nrz(0.1248) q[4];\nh q[4];\nh q[5];\nrz(0.1248) q[5];\nh q[5];\nh q[6];\nrz(0.1248) q[6];\nh q[6];\nh q[7];\nrz(0.1248) q[7];\nh q[7];\nh q[8];\nrz(0.1248) q[8];\nh q[8];\ncx q[1], q[0];\nrz(-0.0099) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.0099) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(-0.0099) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.0099) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(-0.0099) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(-0.0099) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(-0.0099) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0099) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.0099) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.0099) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(-0.0099) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(-0.0099) q[8];\ncx q[6], q[8];\nrz(-0.0132) q[1];\nrz(-0.0121) q[0];\nrz(-0.022) q[3];\nrz(-0.0242) q[2];\nrz(-0.0121) q[4];\nrz(-0.0319) q[5];\nrz(-0.0275) q[6];\nrz(-0.0011) q[7];\nrz(-0.0033) q[8];\nh q[0];\nrz(0.1164) q[0];\nh q[0];\nh q[1];\nrz(0.1164) q[1];\nh q[1];\nh q[2];\nrz(0.1164) q[2];\nh q[2];\nh q[3];\nrz(0.1164) q[3];\nh q[3];\nh q[4];\nrz(0.1164) q[4];\nh q[4];\nh q[5];\nrz(0.1164) q[5];\nh q[5];\nh q[6];\nrz(0.1164) q[6];\nh q[6];\nh q[7];\nrz(0.1164) q[7];\nh q[7];\nh q[8];\nrz(0.1164) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x4) q[2];\nrz(x2) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x7) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(x10) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x10) q[8];\ncx q[6], q[8];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[3];\nrz(x14) q[2];\nrz(x12) q[4];\nrz(x15) q[5];\nrz(x16) q[6];\nrz(x17) q[7];\nrz(x18) q[8];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nh q[8];\nrz(x19) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x20) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x20) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x20) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x20) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(x20) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x20) q[8];\ncx q[6], q[8];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[3];\nrz(x24) q[2];\nrz(x22) q[4];\nrz(x25) q[5];\nrz(x26) q[6];\nrz(x27) q[7];\nrz(x28) q[8];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nh q[8];\nrz(x29) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x30) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x30) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x30) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x30) q[2];\ncx q[3], q[2];\ncx q[1], q[4];\nrz(x30) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(x30) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x30) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x30) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x30) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x30) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(x30) q[8];\ncx q[3], q[8];\ncx q[6], q[8];\nrz(x30) q[8];\ncx q[6], q[8];\nrz(x31) q[1];\nrz(x32) q[0];\nrz(x33) q[3];\nrz(x34) q[2];\nrz(x32) q[4];\nrz(x35) q[5];\nrz(x36) q[6];\nrz(x37) q[7];\nrz(x38) q[8];\nh q[0];\nrz(x39) q[0];\nh q[0];\nh q[1];\nrz(x39) q[1];\nh q[1];\nh q[2];\nrz(x39) q[2];\nh q[2];\nh q[3];\nrz(x39) q[3];\nh q[3];\nh q[4];\nrz(x39) q[4];\nh q[4];\nh q[5];\nrz(x39) q[5];\nh q[5];\nh q[6];\nrz(x39) q[6];\nh q[6];\nh q[7];\nrz(x39) q[7];\nh q[7];\nh q[8];\nrz(x39) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["5773346088093114269","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[0, 2], [5, 6], [1, 3], [1, 2], [2, 4], [1, 6]]}","{\"states\": [25, 102], \"expectation_value\": -0.07765215247653455, \"params\": [[-0.0829], [0.07980000000000001]], \"bitstrings\": [\"1100110\", \"0011001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009076447884378745, 0.009076447884378745], \"optimization_time\": 0.4826698303222656}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-3.0, -3.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"1100110\", \"0011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(-0.0829) q[0];\ncx q[2], q[0];\ncx q[6], q[5];\nrz(-0.0829) q[5];\ncx q[6], q[5];\ncx q[2], q[1];\nrz(-0.0829) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(-0.0829) q[1];\ncx q[6], q[1];\ncx q[1], q[3];\nrz(-0.0829) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(-0.0829) q[4];\ncx q[2], q[4];\nrz(0) q[2];\nrz(0) q[0];\nrz(0) q[6];\nrz(0) q[5];\nrz(0) q[1];\nrz(0) q[3];\nrz(0) q[4];\nh q[0];\nrz(0.1596) q[0];\nh q[0];\nh q[1];\nrz(0.1596) q[1];\nh q[1];\nh q[2];\nrz(0.1596) q[2];\nh q[2];\nh q[3];\nrz(0.1596) q[3];\nh q[3];\nh q[4];\nrz(0.1596) q[4];\nh q[4];\nh q[5];\nrz(0.1596) q[5];\nh q[5];\nh q[6];\nrz(0.1596) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(x0) q[1];\ncx q[6], q[1];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[6];\nrz(x1) q[5];\nrz(x1) q[1];\nrz(x1) q[3];\nrz(x1) q[4];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["b4764399bb7694871d7cf0cc7a871143","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 5, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}]}","{\"states\": [9, 13], \"expectation_value\": -8.421297177726396, \"params\": [[[0.0023, 1.1741000000000001], [1.5685, -0.002], [-0.8715, 0.0006000000000000001], [-0.0027, 1.116], [-1.5658, -0.0026000000000000003]], [[0.0023, 0.0068000000000000005], [1.5694000000000001, 0.0044], [-0.8715, 0.0006000000000000001], [-0.0027, 0.0067], [-1.5698, 0.0013000000000000002]]], \"bitstrings\": [\"10110\", \"10010\"], \"total_optimization_steps\": 190, \"probabilities\": [0.41428200313459695, 0.5856943261088327], \"optimization_time\": 3.5186879634857178}","-1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2)",1,5,2,"{\"smallest_eigenvalues\": [-9.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.25, \"smallest_bitstrings\": [\"10010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nrx(0.0023) q[0];\nrz(1.1741) q[0];\nrx(1.5685) q[1];\nrz(-0.002) q[1];\nrx(-0.8715) q[2];\nrz(0.0006) q[2];\nrx(-0.0027) q[3];\nrz(1.116) q[3];\nrx(-1.5658) q[4];\nrz(-0.0026) q[4];\nrx(0.0023) q[0];\nrz(0.0068) q[0];\nrx(1.5694) q[1];\nrz(0.0044) q[1];\nrx(-0.8715) q[2];\nrz(0.0006) q[2];\nrx(-0.0027) q[3];\nrz(0.0067) q[3];\nrx(-1.5698) q[4];\nrz(0.0013) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x0) q[0];\nrz(x10) q[0];\nrx(x11) q[1];\nrz(x12) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x13) q[3];\nrx(x14) q[4];\nrz(x15) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","{\"source\": 0, \"sink\": 4}","{\"circuits\": [], \"gradients\": []}"]
["460c923df83f30f22def2c9af8610a90","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [98, 67], \"expectation_value\": -4.4965155484111925, \"params\": null, \"bitstrings\": [\"0011101\", \"0111100\"], \"total_optimization_steps\": 26, \"probabilities\": [0.06700896400155715, 0.9297460623239685], \"optimization_time\": 20.052170753479004}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + -1.5 * Z(2) + -1.0 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"0110110\", \"0111100\", \"0011101\", \"0001111\", \"1110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nry(-1.5681) q[2];\nry(-1.4449) q[3];\nry(1.4449) q[0];\nry(1.4417) q[5];\ncry(-1.0398) q[6], q[1];\nry(0.7022) q[6];\nry(-0.4578) q[1];\ncry(0.497) q[0], q[6];\ncry(-0.3761) q[0], q[1];\ncry(0.2474) q[5], q[6];\ncry(-0.1469) q[5], q[1];\ncry(-0.1214) q[5], q[3];\ncry(0.1208) q[0], q[5];\ncry(0.1157) q[5], q[0];\ncry(-0.0027) q[5], q[2];\ncry(-0.0223) q[1], q[6];\ncry(-0.0048) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0223) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0223) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0223) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0223) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0223) q[1], q[6];\\ncry(-0.0048) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0223) q[1], q[6];\\ncry(-0.0048) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0223) q[1], q[6];\\ncry(-0.0048) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[2];\\nry(-1.4449) q[3];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\ncry(-1.0398) q[6], q[1];\\nry(0.7022) q[6];\\nry(-0.4578) q[1];\\ncry(0.497) q[0], q[6];\\ncry(-0.3761) q[0], q[1];\\ncry(0.2474) q[5], q[6];\\ncry(-0.1469) q[5], q[1];\\ncry(-0.1214) q[5], q[3];\\ncry(0.1208) q[0], q[5];\\ncry(0.1157) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0223) q[1], q[6];\\ncry(-0.0048) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.5105, 1.0062, 0.503, 0.5002, 0.4958, 0.253, 0.2463, 0.1912, 0.2244, 0.1882, 0.1266, 0.078, 0.0726, 0.0626, 0.0601, 0.0082, 0.0063, 0.0057, 0.0048, 0.0047, 0.0047, 0.0043, 0.004, 0.0031, 0.0031, 0.0029]}"]
["2ad6d55856f69d2786e314d4b42f7213","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 10, \"target\": 11}]}","{\"states\": [2040, 2046], \"expectation_value\": -13.393494363635448, \"params\": null, \"bitstrings\": [\"00000000111\", \"00000000001\"], \"total_optimization_steps\": 100, \"probabilities\": [0.12116968976818161, 0.4646413835045458], \"optimization_time\": 246.10930681228638}","-2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) + -0.5 * Z(10)",1,11,1,"{\"smallest_eigenvalues\": [-17.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"00000000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[7], q[4];\nry(1.056) q[7];\ncry(1.5708) q[4], q[6];\nry(0.3016) q[4];\ncry(1.5706) q[3], q[0];\ncry(1.5708) q[0], q[2];\ncry(1.2306) q[2], q[3];\ncry(0.4422) q[2], q[0];\ncry(1.5705) q[4], q[5];\ncry(1.5705) q[0], q[1];\ncry(1.5486) q[9], q[8];\ncry(1.2305) q[8], q[9];\nry(-0.2024) q[2];\ncry(0.2024) q[3], q[2];\ncry(-0.182) q[5], q[2];\nry(-1.4449) q[10];\ncry(-1.0504) q[6], q[4];\ncry(0.024) q[5], q[4];\ncry(0.1447) q[1], q[4];\ncry(0.2683) q[2], q[4];\ncry(0.5414) q[9], q[4];\ncry(0.0457) q[0], q[4];\ncry(0.0437) q[3], q[4];\ncry(0.0645) q[8], q[4];\ncry(0.1265) q[1], q[3];\ncry(0.334) q[4], q[7];\ncry(-0.1863) q[6], q[7];\ncry(0.1887) q[7], q[6];\ncry(-1.1898) q[1], q[0];\nry(-0.1529) q[0];\ncry(0.2538) q[5], q[0];\ncry(0.0449) q[6], q[0];\ncry(0.2423) q[7], q[0];\ncry(0.0808) q[4], q[0];\ncry(0.4568) q[9], q[0];\ncry(0.0899) q[8], q[0];\nry(-0.076) q[3];\nry(-0.1592) q[1];\ncry(0.0613) q[1], q[2];\ncry(0.1593) q[3], q[1];\ncry(-0.157) q[5], q[1];\ncry(-0.1223) q[6], q[5];\ncry(-0.0498) q[6], q[2];\nry(-0.1007) q[6];\ncry(0.1063) q[7], q[5];\nry(-0.0748) q[5];\ncry(0.1015) q[8], q[7];\ncry(-0.0872) q[5], q[7];\ncry(0.0874) q[2], q[1];\ncry(-0.0886) q[6], q[1];\ncry(0.082) q[9], q[7];\ncry(-0.1155) q[5], q[10];\ncry(0.0673) q[8], q[6];\ncry(-0.0324) q[1], q[7];\ncry(0.0212) q[8], q[3];\ncry(-0.0109) q[6], q[3];\ncry(-0.0265) q[1], q[6];\ncry(0.0338) q[8], q[5];\ncry(-0.0218) q[1], q[5];\ncry(-0.0066) q[9], q[2];\ncry(0.0189) q[4], q[2];\ncry(-0.016) q[8], q[2];\ncry(0.0276) q[0], q[6];\ncry(-0.0183) q[2], q[6];\ncry(0.0204) q[0], q[7];\nry(0.0162) q[8];\ncry(-0.0222) q[1], q[10];\ncry(0.0189) q[0], q[5];\ncry(-0.0143) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"node\": 11}",{"$cut":{"chars":144902,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[7], q[4];\\nry(1.056) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[7], q[4];\\nry(1.056) q[7];\\ncry(1.5708) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[7], q[4];\\nry(1.056) q[7];\\ncry(1.5708) q[4], q[6];\\nry(0.3016) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[7], q[4];\\nry(1.056) q[7];\\ncry(1.5708) q[4], q[6];\\nry(0.3016) q[4];\\ncry(1.5706) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[7], q[4];\\nry(1.056) q[7];\\ncry(1.5708) q[4], q[6];\\nry(0.3016) q[4];\\ncry(1.5706) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[7], q[4];\\nry(1.056) q[7];\\ncry(1.5708) q[4], q[6];\\nry(0.3016) q[4];\\ncry(1.5706) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\ncry(1.2306) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[7], q[4];\\nry(1.056) q[7];\\ncry(1.5708) q[4], q[6];\\nry(0.3016) q[4];\\ncry(1.5706) q[3], q[0];\\ncry(1.5708) q[0], q[2];\\ncry(1.2306) q[2], q[3];\\ncry(0.4422) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q"}}]
["4921841307151592341","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[8, 2, 5], [1, 6, 7], [2, 7], [2, 4, 5], [0, 6], [3, 6]]}","{\"states\": [213, 204], \"expectation_value\": -0.018126642183773335, \"params\": [[-0.038400000000000004], [0.048]], \"bitstrings\": [\"100101010\", \"100110011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002018315185430981, 0.0020183265482417176], \"optimization_time\": 1.8189618587493896}","0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.3333333333333335 * Z(2) + 0.16666666666666666 * Z(8) + 0.3333333333333333 * Z(5) + 0.16666666666666674 * Z(6) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(7) + 0.16666666666666666 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3)",1,9,1,"{\"smallest_eigenvalues\": [-2.5000000000000004], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.4999999999999996, \"smallest_bitstrings\": [\"100110011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[8];\nrz(-0.0128) q[8];\ncx q[2], q[8];\ncx q[2], q[5];\nrz(-0.0256) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(-0.0128) q[5];\ncx q[8], q[5];\ncx q[6], q[1];\nrz(-0.0128) q[1];\ncx q[6], q[1];\ncx q[2], q[7];\nrz(-0.0384) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(-0.0128) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(-0.0128) q[7];\ncx q[1], q[7];\ncx q[2], q[4];\nrz(-0.0128) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(-0.0128) q[4];\ncx q[5], q[4];\ncx q[6], q[0];\nrz(-0.0384) q[0];\ncx q[6], q[0];\ncx q[6], q[3];\nrz(-0.0384) q[3];\ncx q[6], q[3];\nrz(-0.0256) q[2];\nrz(-0.0128) q[8];\nrz(-0.0256) q[5];\nrz(-0.0128) q[6];\nrz(-0.0128) q[1];\nrz(-0.0128) q[7];\nrz(-0.0128) q[4];\nrz(0) q[0];\nrz(0) q[3];\nh q[0];\nrz(0.096) q[0];\nh q[0];\nh q[1];\nrz(0.096) q[1];\nh q[1];\nh q[2];\nrz(0.096) q[2];\nh q[2];\nh q[3];\nrz(0.096) q[3];\nh q[3];\nh q[4];\nrz(0.096) q[4];\nh q[4];\nh q[5];\nrz(0.096) q[5];\nh q[5];\nh q[6];\nrz(0.096) q[6];\nh q[6];\nh q[7];\nrz(0.096) q[7];\nh q[7];\nh q[8];\nrz(0.096) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[8], q[5];\nrz(x0) q[5];\ncx q[8], q[5];\ncx q[6], q[1];\nrz(x0) q[1];\ncx q[6], q[1];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\nrz(x1) q[2];\nrz(x0) q[8];\nrz(x1) q[5];\nrz(x0) q[6];\nrz(x0) q[1];\nrz(x0) q[7];\nrz(x0) q[4];\nrz(x3) q[0];\nrz(x3) q[3];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nh q[8];\nrz(x4) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["b8aaab24da0004c3e40ded7e0da30763","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 3}]}","{\"states\": [0, 1], \"expectation_value\": -5.63002705054771, \"params\": [[[0.0036000000000000003, 0.4631], [0.0025, 0.5849], [0.0024000000000000002, 0.6001000000000001], [0.0005, 0.2245], [0.0028, 0.5656], [0.0011, 0.29460000000000003], [0.8041, 0.0024000000000000002]], [[0.0035, 0.009000000000000001], [0.0025, 0.0097], [0.0024000000000000002, 0.0037], [0.0048000000000000004, 0.0047], [0.0028, 0.0083], [0.004200000000000001, 0.0051], [0.7993, 0.0014]]], \"bitstrings\": [\"1111111\", \"1111110\"], \"total_optimization_steps\": 80, \"probabilities\": [0.48370715178906076, 0.51624903280614], \"optimization_time\": 2.7857980728149414}","-0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-9.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.5, \"smallest_bitstrings\": [\"1111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0036) q[0];\nrz(0.4631) q[0];\nrx(0.0025) q[1];\nrz(0.5849) q[1];\nrx(0.0024) q[2];\nrz(0.6001) q[2];\nrx(0.0005) q[3];\nrz(0.2245) q[3];\nrx(0.0028) q[4];\nrz(0.5656) q[4];\nrx(0.0011) q[5];\nrz(0.2946) q[5];\nrx(0.8041) q[6];\nrz(0.0024) q[6];\nrx(0.0035) q[0];\nrz(0.009) q[0];\nrx(0.0025) q[1];\nrz(0.0097) q[1];\nrx(0.0024) q[2];\nrz(0.0037) q[2];\nrx(0.0048) q[3];\nrz(0.0047) q[3];\nrx(0.0028) q[4];\nrz(0.0083) q[4];\nrx(0.0042) q[5];\nrz(0.0051) q[5];\nrx(0.7993) q[6];\nrz(0.0014) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x4) q[6];\nrx(x13) q[0];\nrz(x14) q[0];\nrx(x2) q[1];\nrz(x15) q[1];\nrx(x4) q[2];\nrz(x16) q[2];\nrx(x17) q[3];\nrz(x18) q[3];\nrx(x8) q[4];\nrz(x19) q[4];\nrx(x20) q[5];\nrz(x21) q[5];\nrx(x22) q[6];\nrz(x23) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["9c42d64a7466ccf874275fc8844c2c25","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}]}","{\"states\": [183, 151], \"expectation_value\": -1.5728888465667576, \"params\": [[[0.40340000000000004, -0.0245], [0.39840000000000003, -0.024300000000000002], [0.1852, 0.2983], [0.38830000000000003, 0.2777], [0.3995, 0.2967], [0.20070000000000002, 0.31970000000000004], [0.403, 0.17930000000000001], [0.2414, 0.33390000000000003], [0.3957, 0.4007]], [[0.4033, 0.1066], [0.40440000000000004, 0.0753], [0.1967, 0.10300000000000001], [0.3569, 0.0137], [0.40340000000000004, 0.1216], [0.1456, 0.1231], [0.40090000000000003, 0.3879], [0.2134, 0.3899], [0.3937, 0.4001]], [[0.39840000000000003, 0.2911], [0.402, 0.23570000000000002], [0.1877, 0.4001], [0.35600000000000004, 0.0719], [0.4012, 0.2427], [0.12000000000000001, 0.3037], [0.4005, 0.3947], [-0.2822, 0.3482], [-0.2117, -0.0342]], [[0.3719, -0.10690000000000001], [0.40540000000000004, 0.1247], [0.1922, 0.3649], [0.39830000000000004, -0.0176], [0.4026, 0.16840000000000002], [-0.2164, 0.1331], [0.39890000000000003, 0.40180000000000005], [0.40840000000000004, 0.18660000000000002], [0.39280000000000004, 0.3962]]], \"bitstrings\": [\"101001000\", \"101101000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.033458295879284936, 0.04859985207188578], \"optimization_time\": 10.935576438903809}","0.5 * (Z(2) @ Z(1)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(4) @ Z(1)) + -0.0625 * (Z(3) @ Z(1) @ Z(5)) + -0.0625 * (Z(3) @ Z(1) @ Z(6)) + -0.0625 * (Z(4) @ Z(1) @ Z(5)) + -0.0625 * (Z(4) @ Z(1) @ Z(6)) + -0.0625 * (Z(1) @ Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(4) @ Z(6)) + -0.0625 * (Z(3) @ Z(5) @ Z(6)) + -0.0625 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(3) @ Z(4) @ Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4) @ Z(1) @ Z(6)) + 0.0625 * (Z(3) @ Z(1) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(1) @ Z(5) @ Z(6)) + 0.0625 * (Z(3) @ Z(4) @ Z(5) @ Z(6)) + -0.0625 * (Z(4) @ Z(1) @ Z(3) @ Z(6) @ Z(5)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(3) @ Z(7) @ Z(8)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(0) @ Z(7)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(8)) + -0.25 * (Z(2) @ Z(6) @ Z(8)) + -0.75 * Z(0) + -0.0625 * Z(1) + -0.25 * Z(2) + 0.1875 * Z(3) + 0.1875 * Z(4) + -0.5625 * Z(5) + 0.1875 * Z(6) + 0.0 * Z(7) + 0.0 * Z(8)",15,9,4,"{\"smallest_eigenvalues\": [-3.8125, -3.8125, -3.8125, -3.8125], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.8125, \"smallest_bitstrings\": [\"110001001\", \"101101000\", \"101001010\", \"101001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.4034) q[0];\nry(0.3984) q[1];\nry(0.1852) q[2];\nry(0.3883) q[3];\nry(0.3995) q[4];\nry(0.2007) q[5];\nry(0.403) q[6];\nry(0.2414) q[7];\nry(0.3957) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0245) q[0];\nry(-0.0243) q[1];\nry(0.2983) q[2];\nry(0.2777) q[3];\nry(0.2967) q[4];\nry(0.3197) q[5];\nry(0.1793) q[6];\nry(0.3339) q[7];\nry(0.4007) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.4033) q[0];\nry(0.4044) q[1];\nry(0.1967) q[2];\nry(0.3569) q[3];\nry(0.4034) q[4];\nry(0.1456) q[5];\nry(0.4009) q[6];\nry(0.2134) q[7];\nry(0.3937) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.1066) q[0];\nry(0.0753) q[1];\nry(0.103) q[2];\nry(0.0137) q[3];\nry(0.1216) q[4];\nry(0.1231) q[5];\nry(0.3879) q[6];\nry(0.3899) q[7];\nry(0.4001) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.3984) q[0];\nry(0.402) q[1];\nry(0.1877) q[2];\nry(0.356) q[3];\nry(0.4012) q[4];\nry(0.12) q[5];\nry(0.4005) q[6];\nry(-0.2822) q[7];\nry(-0.2117) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.2911) q[0];\nry(0.2357) q[1];\nry(0.4001) q[2];\nry(0.0719) q[3];\nry(0.2427) q[4];\nry(0.3037) q[5];\nry(0.3947) q[6];\nry(0.3482) q[7];\nry(-0.0342) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.3719) q[0];\nry(0.4054) q[1];\nry(0.1922) q[2];\nry(0.3983) q[3];\nry(0.4026) q[4];\nry(-0.2164) q[5];\nry(0.3989) q[6];\nry(0.4084) q[7];\nry(0.3928) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.1069) q[0];\nry(0.1247) q[1];\nry(0.3649) q[2];\nry(-0.0176) q[3];\nry(0.1684) q[4];\nry(0.1331) q[5];\nry(0.4018) q[6];\nry(0.1866) q[7];\nry(0.3962) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x0) q[4];\nry(x22) q[5];\nry(x23) q[6];\nry(x24) q[7];\nry(x25) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x26) q[0];\nry(x27) q[1];\nry(x28) q[2];\nry(x29) q[3];\nry(x30) q[4];\nry(x31) q[5];\nry(x32) q[6];\nry(x33) q[7];\nry(x34) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x1) q[0];\nry(x35) q[1];\nry(x36) q[2];\nry(x37) q[3];\nry(x38) q[4];\nry(x39) q[5];\nry(x40) q[6];\nry(x41) q[7];\nry(x42) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x43) q[0];\nry(x44) q[1];\nry(x34) q[2];\nry(x45) q[3];\nry(x46) q[4];\nry(x47) q[5];\nry(x48) q[6];\nry(x49) q[7];\nry(x50) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x51) q[0];\nry(x52) q[1];\nry(x53) q[2];\nry(x54) q[3];\nry(x55) q[4];\nry(x56) q[5];\nry(x57) q[6];\nry(x58) q[7];\nry(x59) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x60) q[0];\nry(x61) q[1];\nry(x62) q[2];\nry(x63) q[3];\nry(x64) q[4];\nry(x65) q[5];\nry(x66) q[6];\nry(x67) q[7];\nry(x68) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["27549c23db77d5619ad8eab38ad9f3b4","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}, {\"bipartite\": 1, \"id\": 15}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 7}, {\"weight\": 2, \"source\": 1, \"target\": 8}, {\"weight\": 16, \"source\": 1, \"target\": 14}, {\"weight\": 14, \"source\": 1, \"target\": 9}, {\"weight\": 10, \"source\": 2, \"target\": 9}, {\"weight\": 6, \"source\": 3, \"target\": 10}, {\"weight\": 14, \"source\": 3, \"target\": 15}, {\"weight\": 8, \"source\": 4, \"target\": 11}, {\"weight\": 9, \"source\": 5, \"target\": 12}, {\"weight\": 14, \"source\": 5, \"target\": 15}, {\"weight\": 19, \"source\": 5, \"target\": 10}, {\"weight\": 3, \"source\": 6, \"target\": 13}]}","{\"states\": [1326, 1322], \"expectation_value\": -89.35960248760898, \"params\": [-0.0027, 0.7926000000000001, 1.0999, 0.083, 0.5940000000000001, 0.6429, 1.1048, 0.2733, 0.0859, 0.7779, 0.6795, 0.47700000000000004, 1.1058000000000001, 0.39780000000000004, -0.0024000000000000002, -0.7504000000000001, 1.1024, 0.0092, 0.7797000000000001, 0.32020000000000004, 1.0972, 0.24480000000000002, -0.0024000000000000002, 0.8242, -0.0027, 0.0033, 1.1052, 0.008400000000000001, 0.6006, 0.0053, 1.104, 0.0094, 0.0902, 0.009600000000000001, 0.6783, 0.0044, 1.1039, 0.0063, -0.0024000000000000002, 0.0089, 1.1023, 0.004, 0.7876000000000001, 0.001, 1.0979, 0.0057, -0.0024000000000000002, 0.0078000000000000005, -0.06570000000000001, 0.6997, 0.5618000000000001, 0.7923, -0.061000000000000006, 0.4572, 0.7537, 0.008700000000000001, 0.3196, 0.3034, -0.8066, 0.003, 0.0085, 0.0046, 0.0023, 0.0, 0.001, 0.0036000000000000003, 0.0088, 0.0037, 0.0014, 0.0094], \"bitstrings\": [\"101011010001\", \"101011010101\"], \"total_optimization_steps\": 110, \"probabilities\": [0.07168224626544036, 0.08396500646705148], \"optimization_time\": 9.784181833267212}","8.5 * (Z(2) @ Z(1)) + 8.5 * (Z(3) @ Z(1)) + 8.5 * (Z(3) @ Z(2)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(6) @ Z(5)) + 8.5 * (Z(10) @ Z(6)) + 8.5 * (Z(8) @ Z(5)) + 8.5 * (Z(8) @ Z(10)) + 8.5 * (Z(9) @ Z(10)) + 8.5 * (Z(9) @ Z(8)) + 8.0 * Z(1) + 1.0 * Z(2) + 15.5 * Z(3) + -3.5 * Z(4) + 3.0 * Z(5) + 7.0 * Z(6) + 15.5 * Z(10) + 18.0 * Z(8) + 4.5 * Z(9) + -15.5 * Z(0) + -13.0 * Z(7) + -15.5 * Z(11)",3,12,2,"{\"smallest_eigenvalues\": [-137.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -132.0, \"smallest_bitstrings\": [\"101011010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(-0.0027) q[0];\nrz(0.7926) q[0];\nrx(1.0999) q[1];\nrz(0.083) q[1];\nrx(0.594) q[2];\nrz(0.6429) q[2];\nrx(1.1048) q[3];\nrz(0.2733) q[3];\nrx(0.0859) q[4];\nrz(0.7779) q[4];\nrx(0.6795) q[5];\nrz(0.477) q[5];\nrx(1.1058) q[6];\nrz(0.3978) q[6];\nrx(-0.0024) q[7];\nrz(-0.7504) q[7];\nrx(1.1024) q[8];\nrz(0.0092) q[8];\nrx(0.7797) q[9];\nrz(0.3202) q[9];\nrx(1.0972) q[10];\nrz(0.2448) q[10];\nrx(-0.0024) q[11];\nrz(0.8242) q[11];\ncrz(-0.8066) q[11], q[10];\ncrz(0.3034) q[10], q[9];\ncrz(0.3196) q[9], q[8];\ncrz(0.0087) q[8], q[7];\ncrz(0.7537) q[7], q[6];\ncrz(0.4572) q[6], q[5];\ncrz(-0.061) q[5], q[4];\ncrz(0.7923) q[4], q[3];\ncrz(0.5618) q[3], q[2];\ncrz(0.6997) q[2], q[1];\ncrz(-0.0657) q[1], q[0];\nrx(-0.0027) q[0];\nrz(0.0033) q[0];\nrx(1.1052) q[1];\nrz(0.0084) q[1];\nrx(0.6006) q[2];\nrz(0.0053) q[2];\nrx(1.104) q[3];\nrz(0.0094) q[3];\nrx(0.0902) q[4];\nrz(0.0096) q[4];\nrx(0.6783) q[5];\nrz(0.0044) q[5];\nrx(1.1039) q[6];\nrz(0.0063) q[6];\nrx(-0.0024) q[7];\nrz(0.0089) q[7];\nrx(1.1023) q[8];\nrz(0.004) q[8];\nrx(0.7876) q[9];\nrz(0.001) q[9];\nrx(1.0979) q[10];\nrz(0.0057) q[10];\nrx(-0.0024) q[11];\nrz(0.0078) q[11];\ncrz(0.0094) q[11], q[10];\ncrz(0.0014) q[10], q[9];\ncrz(0.0037) q[9], q[8];\ncrz(0.0088) q[8], q[7];\ncrz(0.0036) q[7], q[6];\ncrz(0.001) q[6], q[5];\ncrz(0) q[5], q[4];\ncrz(0.0023) q[4], q[3];\ncrz(0.0046) q[3], q[2];\ncrz(0.0085) q[2], q[1];\ncrz(0.003) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x14) q[11];\nrz(x22) q[11];\ncrz(x23) q[11], q[10];\ncrz(x24) q[10], q[9];\ncrz(x25) q[9], q[8];\ncrz(x26) q[8], q[7];\ncrz(x27) q[7], q[6];\ncrz(x28) q[6], q[5];\ncrz(x29) q[5], q[4];\ncrz(x30) q[4], q[3];\ncrz(x31) q[3], q[2];\ncrz(x32) q[2], q[1];\ncrz(x33) q[1], q[0];\nrx(x0) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x39) q[3];\nrz(x40) q[3];\nrx(x41) q[4];\nrz(x42) q[4];\nrx(x43) q[5];\nrz(x44) q[5];\nrx(x45) q[6];\nrz(x46) q[6];\nrx(x14) q[7];\nrz(x47) q[7];\nrx(x48) q[8];\nrz(x49) q[8];\nrx(x50) q[9];\nrz(x51) q[9];\nrx(x52) q[10];\nrz(x53) q[10];\nrx(x14) q[11];\nrz(x54) q[11];\ncrz(x40) q[11], q[10];\ncrz(x55) q[10], q[9];\ncrz(x56) q[9], q[8];\ncrz(x57) q[8], q[7];\ncrz(x58) q[7], q[6];\ncrz(x51) q[6], q[5];\ncrz(x59) q[5], q[4];\ncrz(x60) q[4], q[3];\ncrz(x61) q[3], q[2];\ncrz(x62) q[2], q[1];\ncrz(x63) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}\"}","{\"circuits\": [], \"gradients\": []}"]
["74a9039e61abdfc370e0e9ccbda58085","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 4, \"target\": 5}]}","{\"states\": [46, 45], \"expectation_value\": -3.999899063456072, \"params\": null, \"bitstrings\": [\"010001\", \"010010\"], \"total_optimization_steps\": 27, \"probabilities\": [1.641445749207698e-05, 0.9999303761353509], \"optimization_time\": 16.830711126327515}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2)",1,6,1,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nry(-1.4449) q[4];\nry(1.4449) q[3];\nry(1.4449) q[2];\nry(1.4417) q[0];\nry(1.4417) q[5];\ncry(-0.1259) q[5], q[4];\ncry(0.1217) q[3], q[0];\ncry(0.1216) q[0], q[5];\ncry(0.1188) q[0], q[2];\ncry(0.1186) q[2], q[3];\ncry(-0.0005) q[3], q[4];\ncry(0.0074) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\ncry(-0.0005) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.4449) q[4];\\nry(1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[0];\\nry(1.4417) q[5];\\ncry(-0.1259) q[5], q[4];\\ncry(0.1217) q[3], q[0];\\ncry(0.1216) q[0], q[5];\\ncry(0.1188) q[0], q[2];\\ncry(0.1186) q[2], q[3];\\ncry(-0.0005) q[3], q[4];\\ncry(0.0074) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.5077, 0.5025, 0.5007, 0.5005, 0.4961, 0.4958, 0.1931, 0.0627, 0.0628, 0.0613, 0.0612, 0.0176, 0.014, 0.014, 0.0105, 0.0105, 0.0075, 0.007, 0.007, 0.006, 0.0053, 0.0045, 0.0035, 0.0035, 0.003, 0.003, 0.0029]}"]
["f975feb577a84d57f4556f4e8a37e959","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 10}, {\"source\": 8, \"target\": 11}, {\"source\": 9, \"target\": 10}, {\"source\": 9, \"target\": 11}, {\"source\": 9, \"target\": 12}, {\"source\": 10, \"target\": 12}]}","{\"states\": [3968, 4064], \"expectation_value\": -21.394065665377795, \"params\": null, \"bitstrings\": [\"000001111111\", \"000000011111\"], \"total_optimization_steps\": 100, \"probabilities\": [0.1343158389078288, 0.4049625450159731], \"optimization_time\": 338.61518239974976}","-2.0 * (Z(0) @ Z(2)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -3.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(7)) + -2.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 1.5 * Z(8) + 1.0 * Z(7) + -2.5 * Z(9) + -2.0 * Z(10) + -1.5 * Z(11)",1,12,1,"{\"smallest_eigenvalues\": [-29.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -27.0, \"smallest_bitstrings\": [\"000000011111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(-1.5708) q[9];\nry(-1.2796) q[11];\ncry(1.5708) q[3], q[4];\ncry(1.5708) q[4], q[2];\ncry(1.5357) q[2], q[0];\ncry(1.1916) q[2], q[3];\ncry(-1.0432) q[2], q[4];\ncry(-0.0222) q[0], q[4];\nry(-0.0641) q[4];\ncry(1.3483) q[1], q[4];\ncry(0.629) q[10], q[4];\ncry(-0.223) q[0], q[11];\nry(-1.5682) q[7];\nry(-1.5709) q[8];\nry(-1.5708) q[10];\ncry(1.2556) q[4], q[1];\ncry(1.5486) q[6], q[5];\ncry(1.2305) q[5], q[6];\nry(-0.1711) q[1];\ncry(0.2518) q[3], q[1];\ncry(-0.1888) q[0], q[1];\ncry(0.5243) q[6], q[4];\ncry(0.2871) q[5], q[4];\ncry(0.8526) q[6], q[1];\ncry(0.2175) q[1], q[3];\ncry(-0.0821) q[6], q[11];\ncry(-0.0787) q[3], q[2];\ncry(0.0648) q[1], q[2];\ncry(0.067) q[4], q[0];\nry(-0.1102) q[0];\ncry(0.0717) q[3], q[0];\ncry(-0.0634) q[1], q[10];\ncry(-0.0663) q[6], q[0];\ncry(0.0463) q[0], q[10];\ncry(0.0421) q[1], q[0];\nry(-0.0279) q[3];\ncry(0.0605) q[5], q[3];\ncry(-0.0428) q[0], q[3];\ncry(0.0559) q[2], q[1];\ncry(-0.0909) q[5], q[1];\ncry(0.0421) q[6], q[3];\ncry(-0.042) q[5], q[0];\ncry(-0.0083) q[0], q[2];\ncry(-0.2423) q[0], q[9];\ncry(2.9657) q[2], q[9];\ncry(-3.959) q[3], q[9];\ncry(-0.2129) q[1], q[9];\ncry(-0.003) q[4], q[9];\ncry(-0.0018) q[6], q[9];\ncry(0.0002) q[5], q[9];\ncry(-0.5077) q[9], q[4];\ncry(-0.5879) q[9], q[1];\ncry(0.2309) q[9], q[3];\ncry(0.7869) q[10], q[9];\ncry(0.1093) q[9], q[2];\nry(0.3196) q[2];\ncry(-0.3537) q[6], q[2];\ncry(-0.0415) q[4], q[10];\ncry(0.0331) q[3], q[10];\ncry(0.0609) q[9], q[0];\ncry(-0.1865) q[10], q[1];\ncry(0.0155) q[2], q[10];\ncry(-0.0129) q[9], q[10];\ncry(-0.0584) q[1], q[11];\ncry(-1.7496) q[9], q[11];\ncry(-0.5876) q[2], q[11];\ncry(2.5652) q[11], q[9];\ncry(1.467) q[3], q[11];\ncry(0.11) q[4], q[11];\ncry(-0.1216) q[5], q[11];\ncry(-0.5036) q[11], q[1];\ncry(-0.4828) q[11], q[4];\ncry(0.0457) q[4], q[3];\ncry(0.3087) q[11], q[3];\ncry(-0.1781) q[10], q[11];\ncry(-0.0023) q[0], q[8];\ncry(0.0549) q[11], q[0];\ncry(-0.0046) q[5], q[2];\ncry(0.0113) q[5], q[10];\nry(0.016) q[5];\ncry(-0.0026) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"node\": 9}",{"$cut":{"chars":156427,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(-1.5708) q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(-1.5708) q[9];\\nry(-1.2796) q[11];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(-1.5708) q[9];\\nry(-1.2796) q[11];\\ncry(1.5708) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(-1.5708) q[9];\\nry(-1.2796) q[11];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(-1.5708) q[9];\\nry(-1.2796) q[11];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[2];\\ncry(1.5357) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(-1.5708) q[9];\\nry(-1.2796) q[11];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[2];\\ncry(1.5357) q[2], q[0];\\ncry(1.1916) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(-1.5708) q[9];\\nry(-1.2796) q[11];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[2];\\ncry(1.5357) q[2], q[0];\\ncry(1.1916) q[2], q[3];\\ncry(-1.0432) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\nc[11] = measure q[11];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[12] c;\\nqubit[12] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nh q[11];\\nry(-1.5708) q[9];\\nry(-1.2796) q[11];\\ncry(1.5708) q[3], q[4];\\ncry(1.5708) q[4], q[2];\\ncry(1.5357) q[2], q[0];\\ncry(1.1916"}}]
["-7215287267589527026","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[9, 6], [9, 7], [0, 9], [1, 4], [2, 4], [8, 3], [0, 5], [0, 10], [1, 11]]}","{\"states\": [1479, 455], \"expectation_value\": -0.13543883797785797, \"params\": [0.6877, -0.09190000000000001, 0.6844, 0.0027, 0.7332000000000001, 0.0204, 0.7332000000000001, 0.0039000000000000003, 0.7309, -0.048600000000000004, 0.729, 0.0037, 0.8663000000000001, -0.007500000000000001, 0.8654000000000001, 0.0047, 0.8459, 0.0016, 0.8447, 0.007200000000000001, 0.8861, -0.0012000000000000001, 0.8879, 0.0011, 0.6888000000000001, 0.0903, 0.6914, 0.0022, 0.6823, -0.0908, 0.6825, 0.0022, 0.6958000000000001, -0.0862, 0.6964, 0.0061, 0.8888, -0.0126, 0.8895000000000001, 0.006500000000000001, 0.881, 0.0029000000000000002, 0.8868, 0.0061, 0.8479, 0.0004, 0.8510000000000001, 0.009600000000000001, -0.0898, 0.0064, -0.0184, 0.0058000000000000005, 0.0006000000000000001, 0.0047, 0.0913, 0.0034000000000000002, -0.0328, 0.0032, 0.0022, 0.0095], \"bitstrings\": [\"101000111000\", \"111000111000\"], \"total_optimization_steps\": 90, \"probabilities\": [0.001257217561069326, 0.0015495585655036883], \"optimization_time\": 58.82732844352722}","0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(11) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(9) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(8) + 0.0 * Z(5) + 0.0 * Z(10) + 0.0 * Z(11)",7,12,1,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"000011001111\", \"011001001110\", \"000111000111\", \"111000111000\", \"100110110001\", \"111100110000\", \"100010111001\", \"011101000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.6877) q[0];\nrz(-0.0919) q[0];\nrx(0.7332) q[1];\nrz(0.0204) q[1];\nrx(0.7309) q[2];\nrz(-0.0486) q[2];\nrx(0.8663) q[3];\nrz(-0.0075) q[3];\nrx(0.8459) q[4];\nrz(0.0016) q[4];\nrx(0.8861) q[5];\nrz(-0.0012) q[5];\nrx(0.6888) q[6];\nrz(0.0903) q[6];\nrx(0.6823) q[7];\nrz(-0.0908) q[7];\nrx(0.6958) q[8];\nrz(-0.0862) q[8];\nrx(0.8888) q[9];\nrz(-0.0126) q[9];\nrx(0.881) q[10];\nrz(0.0029) q[10];\nrx(0.8479) q[11];\nrz(0.0004) q[11];\ncrz(-0.0898) q[1], q[0];\ncrz(-0.0184) q[3], q[2];\ncrz(0.0006) q[5], q[4];\ncrz(0.0913) q[7], q[6];\ncrz(-0.0328) q[9], q[8];\ncrz(0.0022) q[11], q[10];\nrx(0.6844) q[0];\nrz(0.0027) q[0];\nrx(0.7332) q[1];\nrz(0.0039) q[1];\nrx(0.729) q[2];\nrz(0.0037) q[2];\nrx(0.8654) q[3];\nrz(0.0047) q[3];\nrx(0.8447) q[4];\nrz(0.0072) q[4];\nrx(0.8879) q[5];\nrz(0.0011) q[5];\nrx(0.6914) q[6];\nrz(0.0022) q[6];\nrx(0.6825) q[7];\nrz(0.0022) q[7];\nrx(0.6964) q[8];\nrz(0.0061) q[8];\nrx(0.8895) q[9];\nrz(0.0065) q[9];\nrx(0.8868) q[10];\nrz(0.0061) q[10];\nrx(0.851) q[11];\nrz(0.0096) q[11];\ncrz(0.0064) q[2], q[1];\ncrz(0.0058) q[4], q[3];\ncrz(0.0047) q[6], q[5];\ncrz(0.0034) q[8], q[7];\ncrz(0.0032) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[1], q[0];\ncrz(x25) q[3], q[2];\ncrz(x26) q[5], q[4];\ncrz(x27) q[7], q[6];\ncrz(x28) q[9], q[8];\ncrz(x29) q[11], q[10];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x2) q[1];\nrz(x32) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x29) q[6];\nrx(x42) q[7];\nrz(x29) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x45) q[9];\nrz(x46) q[9];\nrx(x47) q[10];\nrz(x44) q[10];\nrx(x48) q[11];\nrz(x49) q[11];\ncrz(x50) q[2], q[1];\ncrz(x51) q[4], q[3];\ncrz(x36) q[6], q[5];\ncrz(x52) q[8], q[7];\ncrz(x53) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["a8c99ad184c02bf7f13319ba9d22eb58","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [0, 15], \"expectation_value\": -15.394012951783466, \"params\": [0.0014, 0.8773000000000001, -0.002, 0.6352, 0.004, 0.9464, 0.0038, 0.859, -0.010100000000000001, 1.0875000000000001, 0.0022, 1.0769, -0.0068000000000000005, 0.304, 0.0001, 0.7441, 0.6468, 1.202, -0.042100000000000005, 1.0391000000000001, -0.5375, -0.1527, -0.2615, 0.1549, 0.3864, 1.4208, -0.545, 0.6285000000000001, -0.3654, -0.22740000000000002, -0.5109, 0.6687000000000001, -0.0051, 0.42000000000000004, -0.019, 0.9131, 0.0051, 0.33380000000000004, -0.0002, 0.32530000000000003, 0.0059, 0.8512000000000001, -0.0005, 0.8779, 0.0071, 0.0582, -0.06420000000000001, 0.6475000000000001, -0.2253, 1.2944, 0.1766, 1.3743, 0.0864, 0.0931, 0.1097, 0.32630000000000003, -0.5504, 0.4138, 0.3655, 0.388, -0.5809000000000001, 0.8826, -0.1292, 0.6958000000000001, 0.012100000000000001, 1.1285, -0.0164, 1.1778, 0.004200000000000001, 0.5677, -0.0095, 0.3514, -0.0012000000000000001, 0.7572, -0.0041, 0.6288, 0.0434, 0.5634, 0.0426, 0.24200000000000002, -0.5191, 0.8647, 0.1897, 0.6561, 0.1945, 0.3042, -0.4127, 0.8095, 0.157, 0.5668000000000001, -0.2499, 0.5611, -0.269, 0.4214, -0.0188, 0.21830000000000002, 0.0008, 0.9295, -0.0047, 0.0055000000000000005, 0.0081, 0.3024, 0.0005, 0.002, -0.0011, 0.3643, -0.0019, 0.0041, -0.0315, 0.2082, -0.0244, 0.0098, -0.1988, 0.7957000000000001, 0.34800000000000003, 0.0074, -0.1208, 0.46890000000000004, 0.2258, 0.0056, -0.12150000000000001, 0.562, -0.11040000000000001, 0.0098, -0.0241, 0.18480000000000002, -0.15430000000000002, 0.007200000000000001, 0.0082, -0.0037, -0.0051, 0.0327, 0.6559, 1.1562000000000001, 1.1903000000000001, 2.0038, -0.0004, 0.0046, -0.0044, -0.0033, 1.2812000000000001, 1.7614, 1.2485000000000002, 0.7378, -0.0, -0.0006000000000000001, -0.0046, 0.0025, -0.1379, 0.7865000000000001, -0.0796, -0.6006, -0.0008, -0.001, 0.0017000000000000001, -0.008, -0.34440000000000004, -1.3442, 0.6561, 0.3618], \"bitstrings\": [\"11111111\", \"11110000\"], \"total_optimization_steps\": 330, \"probabilities\": [0.36789702213369657, 0.6127205128925433], \"optimization_time\": 239.81017017364502}","1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 1.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(5)",6,8,4,"{\"smallest_eigenvalues\": [-17.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.0, \"smallest_bitstrings\": [\"11110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0014) q[0];\nrz(0.8773) q[0];\nrx(0.004) q[1];\nrz(0.9464) q[1];\nrx(-0.0101) q[2];\nrz(1.0875) q[2];\nrx(-0.0068) q[3];\nrz(0.304) q[3];\nrx(0.6468) q[4];\nrz(1.202) q[4];\nrx(-0.5375) q[5];\nrz(-0.1527) q[5];\nrx(0.3864) q[6];\nrz(1.4208) q[6];\nrx(-0.3654) q[7];\nrz(-0.2274) q[7];\ncrx(1.1903) q[7], q[6];\ncrx(1.1562) q[7], q[5];\ncrx(0.6559) q[7], q[4];\ncrx(0.0327) q[7], q[3];\ncrx(-0.0051) q[7], q[2];\ncrx(-0.0037) q[7], q[1];\ncrx(0.0082) q[7], q[0];\ncrx(2.0038) q[6], q[7];\ncrx(1.1562) q[6], q[5];\ncrx(0.6559) q[6], q[4];\ncrx(0.0327) q[6], q[3];\ncrx(-0.0051) q[6], q[2];\ncrx(-0.0037) q[6], q[1];\ncrx(0.0082) q[6], q[0];\ncrx(2.0038) q[5], q[7];\ncrx(1.1903) q[5], q[6];\ncrx(0.6559) q[5], q[4];\ncrx(0.0327) q[5], q[3];\ncrx(-0.0051) q[5], q[2];\ncrx(-0.0037) q[5], q[1];\ncrx(0.0082) q[5], q[0];\ncrx(2.0038) q[4], q[7];\ncrx(1.1903) q[4], q[6];\ncrx(1.1562) q[4], q[5];\ncrx(0.0327) q[4], q[3];\ncrx(-0.0051) q[4], q[2];\ncrx(-0.0037) q[4], q[1];\ncrx(0.0082) q[4], q[0];\ncrx(2.0038) q[3], q[7];\ncrx(1.1903) q[3], q[6];\ncrx(1.1562) q[3], q[5];\ncrx(0.6559) q[3], q[4];\ncrx(-0.0051) q[3], q[2];\ncrx(-0.0037) q[3], q[1];\ncrx(0.0082) q[3], q[0];\ncrx(2.0038) q[2], q[7];\ncrx(1.1903) q[2], q[6];\ncrx(1.1562) q[2], q[5];\ncrx(0.6559) q[2], q[4];\ncrx(0.0327) q[2], q[3];\ncrx(-0.0037) q[2], q[1];\ncrx(0.0082) q[2], q[0];\ncrx(2.0038) q[1], q[7];\ncrx(1.1903) q[1], q[6];\ncrx(1.1562) q[1], q[5];\ncrx(0.6559) q[1], q[4];\ncrx(0.0327) q[1], q[3];\ncrx(-0.0051) q[1], q[2];\ncrx(0.0082) q[1], q[0];\ncrx(2.0038) q[0], q[7];\ncrx(1.1903) q[0], q[6];\ncrx(1.1562) q[0], q[5];\ncrx(0.6559) q[0], q[4];\ncrx(0.0327) q[0], q[3];\ncrx(-0.0051) q[0], q[2];\ncrx(-0.0037) q[0], q[1];\nrx(-0.002) q[0];\nrz(0.6352) q[0];\nrx(0.0038) q[1];\nrz(0.859) q[1];\nrx(0.0022) q[2];\nrz(1.0769) q[2];\nrx(0.0001) q[3];\nrz(0.7441) q[3];\nrx(-0.0421) q[4];\nrz(1.0391) q[4];\nrx(-0.2615) q[5];\nrz(0.1549) q[5];\nrx(-0.545) q[6];\nrz(0.6285) q[6];\nrx(-0.5109) q[7];\nrz(0.6687) q[7];\nrx(-0.0051) q[0];\nrz(0.42) q[0];\nrx(0.0051) q[1];\nrz(0.3338) q[1];\nrx(0.0059) q[2];\nrz(0.8512) q[2];\nrx(0.0071) q[3];\nrz(0.0582) q[3];\nrx(-0.2253) q[4];\nrz(1.2944) q[4];\nrx(0.0864) q[5];\nrz(0.0931) q[5];\nrx(-0.5504) q[6];\nrz(0.4138) q[6];\nrx(-0.5809) q[7];\nrz(0.8826) q[7];\ncrx(1.2485) q[7], q[6];\ncrx(1.7614) q[7], q[5];\ncrx(1.2812) q[7], q[4];\ncrx(-0.0033) q[7], q[3];\ncrx(-0.0044) q[7], q[2];\ncrx(0.0046) q[7], q[1];\ncrx(-0.0004) q[7], q[0];\ncrx(0.7378) q[6], q[7];\ncrx(1.7614) q[6], q[5];\ncrx(1.2812) q[6], q[4];\ncrx(-0.0033) q[6], q[3];\ncrx(-0.0044) q[6], q[2];\ncrx(0.0046) q[6], q[1];\ncrx(-0.0004) q[6], q[0];\ncrx(0.7378) q[5], q[7];\ncrx(1.2485) q[5], q[6];\ncrx(1.2812) q[5], q[4];\ncrx(-0.0033) q[5], q[3];\ncrx(-0.0044) q[5], q[2];\ncrx(0.0046) q[5], q[1];\ncrx(-0.0004) q[5], q[0];\ncrx(0.7378) q[4], q[7];\ncrx(1.2485) q[4], q[6];\ncrx(1.7614) q[4], q[5];\ncrx(-0.0033) q[4], q[3];\ncrx(-0.0044) q[4], q[2];\ncrx(0.0046) q[4], q[1];\ncrx(-0.0004) q[4], q[0];\ncrx(0.7378) q[3], q[7];\ncrx(1.2485) q[3], q[6];\ncrx(1.7614) q[3], q[5];\ncrx(1.2812) q[3], q[4];\ncrx(-0.0044) q[3], q[2];\ncrx(0.0046) q[3], q[1];\ncrx(-0.0004) q[3], q[0];\ncrx(0.7378) q[2], q[7];\ncrx(1.2485) q[2], q[6];\ncrx(1.7614) q[2], q[5];\ncrx(1.2812) q[2], q[4];\ncrx(-0.0033) q[2], q[3];\ncrx(0.0046) q[2], q[1];\ncrx(-0.0004) q[2], q[0];\ncrx(0.7378) q[1], q[7];\ncrx(1.2485) q[1], q[6];\ncrx(1.7614) q[1], q[5];\ncrx(1.2812) q[1], q[4];\ncrx(-0.0033) q[1], q[3];\ncrx(-0.0044) q[1], q[2];\ncrx(-0.0004) q[1], q[0];\ncrx(0.7378) q[0], q[7];\ncrx(1.2485) q[0], q[6];\ncrx(1.7614) q[0], q[5];\ncrx(1.2812) q[0], q[4];\ncrx(-0.0033) q[0], q[3];\ncrx(-0.0044) q[0], q[2];\ncrx(0.0046) q[0], q[1];\nrx(-0.019) q[0];\nrz(0.9131) q[0];\nrx(-0.0002) q[1];\nrz(0.3253) q[1];\nrx(-0.0005) q[2];\nrz(0.8779) q[2];\nrx(-0.0642) q[3];\nrz(0.6475) q[3];\nrx(0.1766) q[4];\nrz(1.3743) q[4];\nrx(0.1097) q[5];\nrz(0.3263) q[5];\nrx(0.3655) q[6];\nrz(0.388) q[6];\nrx(-0.1292) q[7];\nrz(0.6958) q[7];\nrx(0.0121) q[0];\nrz(1.1285) q[0];\nrx(0.0042) q[1];\nrz(0.5677) q[1];\nrx(-0.0012) q[2];\nrz(0.7572) q[2];\nrx(0.0434) q[3];\nrz(0.5634) q[3];\nrx(-0.5191) q[4];\nrz(0.8647) q[4];\nrx(0.1945) q[5];\nrz(0.3042) q[5];\nrx(0.157) q[6];\nrz(0.5668) q[6];\nrx(-0.269) q[7];\nrz(0.4214) q[7];\ncrx(-0.0796) q[7], q[6];\ncrx(0.7865) q[7], q[5];\ncrx(-0.1379) q[7], q[4];\ncrx(0.0025) q[7], q[3];\ncrx(-0.0046) q[7], q[2];\ncrx(-0.0006) q[7], q[1];\ncrx(0) q[7], q[0];\ncrx(-0.6006) q[6], q[7];\ncrx(0.7865) q[6], q[5];\ncrx(-0.1379) q[6], q[4];\ncrx(0.0025) q[6], q[3];\ncrx(-0.0046) q[6], q[2];\ncrx(-0.0006) q[6], q[1];\ncrx(0) q[6], q[0];\ncrx(-0.6006) q[5], q[7];\ncrx(-0.0796) q[5], q[6];\ncrx(-0.1379) q[5], q[4];\ncrx(0.0025) q[5], q[3];\ncrx(-0.0046) q[5], q[2];\ncrx(-0.0006) q[5], q[1];\ncrx(0) q[5], q[0];\ncrx(-0.6006) q[4], q[7];\ncrx(-0.0796) q[4], q[6];\ncrx(0.7865) q[4], q[5];\ncrx(0.0025) q[4], q[3];\ncrx(-0.0046) q[4], q[2];\ncrx(-0.0006) q[4], q[1];\ncrx(0) q[4], q[0];\ncrx(-0.6006) q[3], q[7];\ncrx(-0.0796) q[3], q[6];\ncrx(0.7865) q[3], q[5];\ncrx(-0.1379) q[3], q[4];\ncrx(-0.0046) q[3], q[2];\ncrx(-0.0006) q[3], q[1];\ncrx(0) q[3], q[0];\ncrx(-0.6006) q[2], q[7];\ncrx(-0.0796) q[2], q[6];\ncrx(0.7865) q[2], q[5];\ncrx(-0.1379) q[2], q[4];\ncrx(0.0025) q[2], q[3];\ncrx(-0.0006) q[2], q[1];\ncrx(0) q[2], q[0];\ncrx(-0.6006) q[1], q[7];\ncrx(-0.0796) q[1], q[6];\ncrx(0.7865) q[1], q[5];\ncrx(-0.1379) q[1], q[4];\ncrx(0.0025) q[1], q[3];\ncrx(-0.0046) q[1], q[2];\ncrx(0) q[1], q[0];\ncrx(-0.6006) q[0], q[7];\ncrx(-0.0796) q[0], q[6];\ncrx(0.7865) q[0], q[5];\ncrx(-0.1379) q[0], q[4];\ncrx(0.0025) q[0], q[3];\ncrx(-0.0046) q[0], q[2];\ncrx(-0.0006) q[0], q[1];\nrx(-0.0164) q[0];\nrz(1.1778) q[0];\nrx(-0.0095) q[1];\nrz(0.3514) q[1];\nrx(-0.0041) q[2];\nrz(0.6288) q[2];\nrx(0.0426) q[3];\nrz(0.242) q[3];\nrx(0.1897) q[4];\nrz(0.6561) q[4];\nrx(-0.4127) q[5];\nrz(0.8095) q[5];\nrx(-0.2499) q[6];\nrz(0.5611) q[6];\nrx(-0.0188) q[7];\nrz(0.2183) q[7];\nrx(0.0008) q[0];\nrz(0.9295) q[0];\nrx(0.0081) q[1];\nrz(0.3024) q[1];\nrx(-0.0011) q[2];\nrz(0.3643) q[2];\nrx(-0.0315) q[3];\nrz(0.2082) q[3];\nrx(-0.1988) q[4];\nrz(0.7957) q[4];\nrx(-0.1208) q[5];\nrz(0.4689) q[5];\nrx(-0.1215) q[6];\nrz(0.562) q[6];\nrx(-0.0241) q[7];\nrz(0.1848) q[7];\ncrx(0.6561) q[7], q[6];\ncrx(-1.3442) q[7], q[5];\ncrx(-0.3444) q[7], q[4];\ncrx(-0.008) q[7], q[3];\ncrx(0.0017) q[7], q[2];\ncrx(-0.001) q[7], q[1];\ncrx(-0.0008) q[7], q[0];\ncrx(0.3618) q[6], q[7];\ncrx(-1.3442) q[6], q[5];\ncrx(-0.3444) q[6], q[4];\ncrx(-0.008) q[6], q[3];\ncrx(0.0017) q[6], q[2];\ncrx(-0.001) q[6], q[1];\ncrx(-0.0008) q[6], q[0];\ncrx(0.3618) q[5], q[7];\ncrx(0.6561) q[5], q[6];\ncrx(-0.3444) q[5], q[4];\ncrx(-0.008) q[5], q[3];\ncrx(0.0017) q[5], q[2];\ncrx(-0.001) q[5], q[1];\ncrx(-0.0008) q[5], q[0];\ncrx(0.3618) q[4], q[7];\ncrx(0.6561) q[4], q[6];\ncrx(-1.3442) q[4], q[5];\ncrx(-0.008) q[4], q[3];\ncrx(0.0017) q[4], q[2];\ncrx(-0.001) q[4], q[1];\ncrx(-0.0008) q[4], q[0];\ncrx(0.3618) q[3], q[7];\ncrx(0.6561) q[3], q[6];\ncrx(-1.3442) q[3], q[5];\ncrx(-0.3444) q[3], q[4];\ncrx(0.0017) q[3], q[2];\ncrx(-0.001) q[3], q[1];\ncrx(-0.0008) q[3], q[0];\ncrx(0.3618) q[2], q[7];\ncrx(0.6561) q[2], q[6];\ncrx(-1.3442) q[2], q[5];\ncrx(-0.3444) q[2], q[4];\ncrx(-0.008) q[2], q[3];\ncrx(-0.001) q[2], q[1];\ncrx(-0.0008) q[2], q[0];\ncrx(0.3618) q[1], q[7];\ncrx(0.6561) q[1], q[6];\ncrx(-1.3442) q[1], q[5];\ncrx(-0.3444) q[1], q[4];\ncrx(-0.008) q[1], q[3];\ncrx(0.0017) q[1], q[2];\ncrx(-0.0008) q[1], q[0];\ncrx(0.3618) q[0], q[7];\ncrx(0.6561) q[0], q[6];\ncrx(-1.3442) q[0], q[5];\ncrx(-0.3444) q[0], q[4];\ncrx(-0.008) q[0], q[3];\ncrx(0.0017) q[0], q[2];\ncrx(-0.001) q[0], q[1];\nrx(-0.0047) q[0];\nrz(0.0055) q[0];\nrx(0.0005) q[1];\nrz(0.002) q[1];\nrx(-0.0019) q[2];\nrz(0.0041) q[2];\nrx(-0.0244) q[3];\nrz(0.0098) q[3];\nrx(0.348) q[4];\nrz(0.0074) q[4];\nrx(0.2258) q[5];\nrz(0.0056) q[5];\nrx(-0.1104) q[6];\nrz(0.0098) q[6];\nrx(-0.1543) q[7];\nrz(0.0072) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[7], q[5];\ncrx(x18) q[7], q[4];\ncrx(x19) q[7], q[3];\ncrx(x20) q[7], q[2];\ncrx(x21) q[7], q[1];\ncrx(x22) q[7], q[0];\ncrx(x23) q[6], q[7];\ncrx(x17) q[6], q[5];\ncrx(x18) q[6], q[4];\ncrx(x19) q[6], q[3];\ncrx(x20) q[6], q[2];\ncrx(x21) q[6], q[1];\ncrx(x22) q[6], q[0];\ncrx(x23) q[5], q[7];\ncrx(x16) q[5], q[6];\ncrx(x18) q[5], q[4];\ncrx(x19) q[5], q[3];\ncrx(x20) q[5], q[2];\ncrx(x21) q[5], q[1];\ncrx(x22) q[5], q[0];\ncrx(x23) q[4], q[7];\ncrx(x16) q[4], q[6];\ncrx(x17) q[4], q[5];\ncrx(x19) q[4], q[3];\ncrx(x20) q[4], q[2];\ncrx(x21) q[4], q[1];\ncrx(x22) q[4], q[0];\ncrx(x23) q[3], q[7];\ncrx(x16) q[3], q[6];\ncrx(x17) q[3], q[5];\ncrx(x18) q[3], q[4];\ncrx(x20) q[3], q[2];\ncrx(x21) q[3], q[1];\ncrx(x22) q[3], q[0];\ncrx(x23) q[2], q[7];\ncrx(x16) q[2], q[6];\ncrx(x17) q[2], q[5];\ncrx(x18) q[2], q[4];\ncrx(x19) q[2], q[3];\ncrx(x21) q[2], q[1];\ncrx(x22) q[2], q[0];\ncrx(x23) q[1], q[7];\ncrx(x16) q[1], q[6];\ncrx(x17) q[1], q[5];\ncrx(x18) q[1], q[4];\ncrx(x19) q[1], q[3];\ncrx(x20) q[1], q[2];\ncrx(x22) q[1], q[0];\ncrx(x23) q[0], q[7];\ncrx(x16) q[0], q[6];\ncrx(x17) q[0], q[5];\ncrx(x18) q[0], q[4];\ncrx(x19) q[0], q[3];\ncrx(x20) q[0], q[2];\ncrx(x21) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\nrx(x20) q[0];\nrz(x40) q[0];\nrx(x41) q[1];\nrz(x42) q[1];\nrx(x43) q[2];\nrz(x44) q[2];\nrx(x45) q[3];\nrz(x46) q[3];\nrx(x47) q[4];\nrz(x48) q[4];\nrx(x49) q[5];\nrz(x50) q[5];\nrx(x51) q[6];\nrz(x52) q[6];\nrx(x53) q[7];\nrz(x54) q[7];\ncrx(x55) q[7], q[6];\ncrx(x56) q[7], q[5];\ncrx(x57) q[7], q[4];\ncrx(x58) q[7], q[3];\ncrx(x59) q[7], q[2];\ncrx(x60) q[7], q[1];\ncrx(x61) q[7], q[0];\ncrx(x62) q[6], q[7];\ncrx(x56) q[6], q[5];\ncrx(x57) q[6], q[4];\ncrx(x58) q[6], q[3];\ncrx(x59) q[6], q[2];\ncrx(x60) q[6], q[1];\ncrx(x61) q[6], q[0];\ncrx(x62) q[5], q[7];\ncrx(x55) q[5], q[6];\ncrx(x57) q[5], q[4];\ncrx(x58) q[5], q[3];\ncrx(x59) q[5], q[2];\ncrx(x60) q[5], q[1];\ncrx(x61) q[5], q[0];\ncrx(x62) q[4], q[7];\ncrx(x55) q[4], q[6];\ncrx(x56) q[4], q[5];\ncrx(x58) q[4], q[3];\ncrx(x59) q[4], q[2];\ncrx(x60) q[4], q[1];\ncrx(x61) q[4], q[0];\ncrx(x62) q[3], q[7];\ncrx(x55) q[3], q[6];\ncrx(x56) q[3], q[5];\ncrx(x57) q[3], q[4];\ncrx(x59) q[3], q[2];\ncrx(x60) q[3], q[1];\ncrx(x61) q[3], q[0];\ncrx(x62) q[2], q[7];\ncrx(x55) q[2], q[6];\ncrx(x56) q[2], q[5];\ncrx(x57) q[2], q[4];\ncrx(x58) q[2], q[3];\ncrx(x60) q[2], q[1];\ncrx(x61) q[2], q[0];\ncrx(x62) q[1], q[7];\ncrx(x55) q[1], q[6];\ncrx(x56) q[1], q[5];\ncrx(x57) q[1], q[4];\ncrx(x58) q[1], q[3];\ncrx(x59) q[1], q[2];\ncrx(x61) q[1], q[0];\ncrx(x62) q[0], q[7];\ncrx(x55) q[0], q[6];\ncrx(x56) q[0], q[5];\ncrx(x57) q[0], q[4];\ncrx(x58) q[0], q[3];\ncrx(x59) q[0], q[2];\ncrx(x60) q[0], q[1];\nrx(x63) q[0];\nrz(x64) q[0];\nrx(x65) q[1];\nrz(x66) q[1];\nrx(x67) q[2];\nrz(x68) q[2];\nrx(x69) q[3];\nrz(x70) q[3];\nrx(x71) q[4];\nrz(x72) q[4];\nrx(x73) q[5];\nrz(x74) q[5];\nrx(x75) q[6];\nrz(x76) q[6];\nrx(x77) q[7];\nrz(x78) q[7];\nrx(x79) q[0];\nrz(x80) q[0];\nrx(x81) q[1];\nrz(x82) q[1];\nrx(x83) q[2];\nrz(x84) q[2];\nrx(x85) q[3];\nrz(x86) q[3];\nrx(x87) q[4];\nrz(x88) q[4];\nrx(x89) q[5];\nrz(x90) q[5];\nrx(x91) q[6];\nrz(x92) q[6];\nrx(x93) q[7];\nrz(x94) q[7];\ncrx(x95) q[7], q[6];\ncrx(x96) q[7], q[5];\ncrx(x97) q[7], q[4];\ncrx(x98) q[7], q[3];\ncrx(x99) q[7], q[2];\ncrx(x100) q[7], q[1];\ncrx(x101) q[7], q[0];\ncrx(x102) q[6], q[7];\ncrx(x96) q[6], q[5];\ncrx(x97) q[6], q[4];\ncrx(x98) q[6], q[3];\ncrx(x99) q[6], q[2];\ncrx(x100) q[6], q[1];\ncrx(x101) q[6], q[0];\ncrx(x102) q[5], q[7];\ncrx(x95) q[5], q[6];\ncrx(x97) q[5], q[4];\ncrx(x98) q[5], q[3];\ncrx(x99) q[5], q[2];\ncrx(x100) q[5], q[1];\ncrx(x101) q[5], q[0];\ncrx(x102) q[4], q[7];\ncrx(x95) q[4], q[6];\ncrx(x96) q[4], q[5];\ncrx(x98) q[4], q[3];\ncrx(x99) q[4], q[2];\ncrx(x100) q[4], q[1];\ncrx(x101) q[4], q[0];\ncrx(x102) q[3], q[7];\ncrx(x95) q[3], q[6];\ncrx(x96) q[3], q[5];\ncrx(x97) q[3], q[4];\ncrx(x99) q[3], q[2];\ncrx(x100) q[3], q[1];\ncrx(x101) q[3], q[0];\ncrx(x102) q[2], q[7];\ncrx(x95) q[2], q[6];\ncrx(x96) q[2], q[5];\ncrx(x97) q[2], q[4];\ncrx(x98) q[2], q[3];\ncrx(x100) q[2], q[1];\ncrx(x101) q[2], q[0];\ncrx(x102) q[1], q[7];\ncrx(x95) q[1], q[6];\ncrx(x96) q[1], q[5];\ncrx(x97) q[1], q[4];\ncrx(x98) q[1], q[3];\ncrx(x99) q[1], q[2];\ncrx(x101) q[1], q[0];\ncrx(x102) q[0], q[7];\ncrx(x95) q[0], q[6];\ncrx(x96) q[0], q[5];\ncrx(x97) q[0], q[4];\ncrx(x98) q[0], q[3];\ncrx(x99) q[0], q[2];\ncrx(x100) q[0], q[1];\nrx(x103) q[0];\nrz(x104) q[0];\nrx(x105) q[1];\nrz(x106) q[1];\nrx(x107) q[2];\nrz(x108) q[2];\nrx(x109) q[3];\nrz(x110) q[3];\nrx(x111) q[4];\nrz(x112) q[4];\nrx(x113) q[5];\nrz(x114) q[5];\nrx(x115) q[6];\nrz(x116) q[6];\nrx(x117) q[7];\nrz(x118) q[7];\nrx(x119) q[0];\nrz(x120) q[0];\nrx(x121) q[1];\nrz(x122) q[1];\nrx(x123) q[2];\nrz(x124) q[2];\nrx(x125) q[3];\nrz(x126) q[3];\nrx(x127) q[4];\nrz(x128) q[4];\nrx(x129) q[5];\nrz(x130) q[5];\nrx(x131) q[6];\nrz(x132) q[6];\nrx(x133) q[7];\nrz(x134) q[7];\ncrx(x112) q[7], q[6];\ncrx(x135) q[7], q[5];\ncrx(x136) q[7], q[4];\ncrx(x137) q[7], q[3];\ncrx(x138) q[7], q[2];\ncrx(x139) q[7], q[1];\ncrx(x140) q[7], q[0];\ncrx(x141) q[6], q[7];\ncrx(x135) q[6], q[5];\ncrx(x136) q[6], q[4];\ncrx(x137) q[6], q[3];\ncrx(x138) q[6], q[2];\ncrx(x139) q[6], q[1];\ncrx(x140) q[6], q[0];\ncrx(x141) q[5], q[7];\ncrx(x112) q[5], q[6];\ncrx(x136) q[5], q[4];\ncrx(x137) q[5], q[3];\ncrx(x138) q[5], q[2];\ncrx(x139) q[5], q[1];\ncrx(x140) q[5], q[0];\ncrx(x141) q[4], q[7];\ncrx(x112) q[4], q[6];\ncrx(x135) q[4], q[5];\ncrx(x137) q[4], q[3];\ncrx(x138) q[4], q[2];\ncrx(x139) q[4], q[1];\ncrx(x140) q[4], q[0];\ncrx(x141) q[3], q[7];\ncrx(x112) q[3], q[6];\ncrx(x135) q[3], q[5];\ncrx(x136) q[3], q[4];\ncrx(x138) q[3], q[2];\ncrx(x139) q[3], q[1];\ncrx(x140) q[3], q[0];\ncrx(x141) q[2], q[7];\ncrx(x112) q[2], q[6];\ncrx(x135) q[2], q[5];\ncrx(x136) q[2], q[4];\ncrx(x137) q[2], q[3];\ncrx(x139) q[2], q[1];\ncrx(x140) q[2], q[0];\ncrx(x141) q[1], q[7];\ncrx(x112) q[1], q[6];\ncrx(x135) q[1], q[5];\ncrx(x136) q[1], q[4];\ncrx(x137) q[1], q[3];\ncrx(x138) q[1], q[2];\ncrx(x140) q[1], q[0];\ncrx(x141) q[0], q[7];\ncrx(x112) q[0], q[6];\ncrx(x135) q[0], q[5];\ncrx(x136) q[0], q[4];\ncrx(x137) q[0], q[3];\ncrx(x138) q[0], q[2];\ncrx(x139) q[0], q[1];\nrx(x142) q[0];\nrz(x143) q[0];\nrx(x144) q[1];\nrz(x145) q[1];\nrx(x146) q[2];\nrz(x147) q[2];\nrx(x148) q[3];\nrz(x149) q[3];\nrx(x150) q[4];\nrz(x151) q[4];\nrx(x152) q[5];\nrz(x153) q[5];\nrx(x154) q[6];\nrz(x149) q[6];\nrx(x155) q[7];\nrz(x156) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"node\": 0}","{\"circuits\": [], \"gradients\": []}"]
["305cc5dd5b277c9d8e7c7144880cc230","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 0, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 9}, {\"weight\": 19, \"source\": 0, \"target\": 14}, {\"weight\": 6, \"source\": 1, \"target\": 10}, {\"weight\": 16, \"source\": 1, \"target\": 12}, {\"weight\": 6, \"source\": 2, \"target\": 11}, {\"weight\": 7, \"source\": 3, \"target\": 12}, {\"weight\": 9, \"source\": 4, \"target\": 13}, {\"weight\": 18, \"source\": 4, \"target\": 11}, {\"weight\": 13, \"source\": 4, \"target\": 9}, {\"weight\": 1, \"source\": 5, \"target\": 14}, {\"weight\": 16, \"source\": 5, \"target\": 13}]}","{\"states\": [151, 1174], \"expectation_value\": -98.95168167638431, \"params\": [[[1.5727, 0.25370000000000004], [0.11220000000000001, 0.2543], [0.0727, -0.0756], [1.5766, 1.5779], [-1.5427000000000002, 1.5773000000000001], [-1.5299, 1.5749], [1.5768, 1.5751000000000002], [1.5773000000000001, 1.5752000000000002], [1.5779, 1.5772000000000002], [1.5762, 1.0682], [1.58, 1.5770000000000002]]], \"bitstrings\": [\"11101101000\", \"01101101001\"], \"total_optimization_steps\": 170, \"probabilities\": [0.4662746976615666, 0.4682200848421555], \"optimization_time\": 13.300461292266846}","8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + 4.5 * Z(1) + 9.5 * Z(0) + -5.0 * Z(2) + 8.0 * Z(3) + -4.5 * Z(5) + 14.5 * Z(8) + 17.0 * Z(6) + -5.0 * Z(4) + 12.5 * Z(7) + 0.5 * Z(10) + 8.0 * Z(9)",15,11,1,"{\"smallest_eigenvalues\": [-126.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -103.0, \"smallest_bitstrings\": [\"01101101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(1.5727) q[0];\nry(0.1122) q[1];\nry(0.0727) q[2];\nry(1.5766) q[3];\nry(-1.5427) q[4];\nry(-1.5299) q[5];\nry(1.5768) q[6];\nry(1.5773) q[7];\nry(1.5779) q[8];\nry(1.5762) q[9];\nry(1.58) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.2537) q[0];\nry(0.2543) q[1];\nry(-0.0756) q[2];\nry(1.5779) q[3];\nry(1.5773) q[4];\nry(1.5749) q[5];\nry(1.5751) q[6];\nry(1.5752) q[7];\nry(1.5772) q[8];\nry(1.0682) q[9];\nry(1.577) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x8) q[3];\nry(x7) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\nry(x18) q[9];\nry(x19) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \\\"right_nodes\\\": [9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["d30c0386d8d3b385abfc19e03f7b5ca3","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [9, 13], \"expectation_value\": -3.0742236105042116, \"params\": [0.0019, 0.1996, -0.0118, 0.21250000000000002, 0.4, 0.0857, 0.4042, 0.0103, 0.39280000000000004, 0.135, 0.404, 0.216, -0.006200000000000001, 0.20220000000000002, -0.016300000000000002, 0.2169, 0.40280000000000005, 0.1066, 0.403, 0.012700000000000001, 0.39680000000000004, 0.16290000000000002, 0.39990000000000003, 0.2177, 0.0031000000000000003, 0.20500000000000002, -0.0178, 0.219, 0.401, 0.1106, 0.3996, 0.010100000000000001, 0.39630000000000004, 0.18380000000000002, 0.3951, 0.21880000000000002, -0.0014, 0.0051, -0.0172, 0.0064, 0.40190000000000003, 0.0048000000000000004, 0.4033, 0.007, 0.39730000000000004, 0.0037, 0.39590000000000003, 0.00030000000000000003, -0.1956, 0.1595, -0.0026000000000000003, -0.1095, 0.22, -0.17020000000000002, 0.2038, -0.0047, -0.0965, 0.2325, -0.07830000000000001, 0.2252, -0.0005, -0.0241, 0.23800000000000002, 0.0038, 0.0086, 0.0063, 0.0091, 0.0037], \"bitstrings\": [\"110110\", \"110010\"], \"total_optimization_steps\": 40, \"probabilities\": [0.0714194941726122, 0.07507237011866795], \"optimization_time\": 6.268827438354492}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4)",3,6,4,"{\"smallest_eigenvalues\": [-4.5, -4.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"110001\", \"110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.0019) q[0];\nrz(0.1996) q[0];\nrx(-0.0118) q[1];\nrz(0.2125) q[1];\nrx(0.4) q[2];\nrz(0.0857) q[2];\nrx(0.4042) q[3];\nrz(0.0103) q[3];\nrx(0.3928) q[4];\nrz(0.135) q[4];\nrx(0.404) q[5];\nrz(0.216) q[5];\ncrz(0.22) q[5], q[4];\ncrz(-0.1095) q[4], q[3];\ncrz(-0.0026) q[3], q[2];\ncrz(0.1595) q[2], q[1];\ncrz(-0.1956) q[1], q[0];\nrx(-0.0062) q[0];\nrz(0.2022) q[0];\nrx(-0.0163) q[1];\nrz(0.2169) q[1];\nrx(0.4028) q[2];\nrz(0.1066) q[2];\nrx(0.403) q[3];\nrz(0.0127) q[3];\nrx(0.3968) q[4];\nrz(0.1629) q[4];\nrx(0.3999) q[5];\nrz(0.2177) q[5];\ncrz(0.2325) q[5], q[4];\ncrz(-0.0965) q[4], q[3];\ncrz(-0.0047) q[3], q[2];\ncrz(0.2038) q[2], q[1];\ncrz(-0.1702) q[1], q[0];\nrx(0.0031) q[0];\nrz(0.205) q[0];\nrx(-0.0178) q[1];\nrz(0.219) q[1];\nrx(0.401) q[2];\nrz(0.1106) q[2];\nrx(0.3996) q[3];\nrz(0.0101) q[3];\nrx(0.3963) q[4];\nrz(0.1838) q[4];\nrx(0.3951) q[5];\nrz(0.2188) q[5];\ncrz(0.238) q[5], q[4];\ncrz(-0.0241) q[4], q[3];\ncrz(-0.0005) q[3], q[2];\ncrz(0.2252) q[2], q[1];\ncrz(-0.0783) q[1], q[0];\nrx(-0.0014) q[0];\nrz(0.0051) q[0];\nrx(-0.0172) q[1];\nrz(0.0064) q[1];\nrx(0.4019) q[2];\nrz(0.0048) q[2];\nrx(0.4033) q[3];\nrz(0.007) q[3];\nrx(0.3973) q[4];\nrz(0.0037) q[4];\nrx(0.3959) q[5];\nrz(0.0003) q[5];\ncrz(0.0037) q[5], q[4];\ncrz(0.0091) q[4], q[3];\ncrz(0.0063) q[3], q[2];\ncrz(0.0086) q[2], q[1];\ncrz(0.0038) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\ncrz(x12) q[5], q[4];\ncrz(x13) q[4], q[3];\ncrz(x14) q[3], q[2];\ncrz(x15) q[2], q[1];\ncrz(x16) q[1], q[0];\nrx(x17) q[0];\nrz(x18) q[0];\nrx(x19) q[1];\nrz(x20) q[1];\nrx(x21) q[2];\nrz(x22) q[2];\nrx(x23) q[3];\nrz(x24) q[3];\nrx(x25) q[4];\nrz(x26) q[4];\nrx(x27) q[5];\nrz(x28) q[5];\ncrz(x29) q[5], q[4];\ncrz(x30) q[4], q[3];\ncrz(x31) q[3], q[2];\ncrz(x32) q[2], q[1];\ncrz(x33) q[1], q[0];\nrx(x34) q[0];\nrz(x35) q[0];\nrx(x36) q[1];\nrz(x37) q[1];\nrx(x38) q[2];\nrz(x39) q[2];\nrx(x40) q[3];\nrz(x41) q[3];\nrx(x42) q[4];\nrz(x43) q[4];\nrx(x44) q[5];\nrz(x45) q[5];\ncrz(x46) q[5], q[4];\ncrz(x47) q[4], q[3];\ncrz(x48) q[3], q[2];\ncrz(x49) q[2], q[1];\ncrz(x50) q[1], q[0];\nrx(x51) q[0];\nrz(x52) q[0];\nrx(x53) q[1];\nrz(x54) q[1];\nrx(x55) q[2];\nrz(x56) q[2];\nrx(x57) q[3];\nrz(x58) q[3];\nrx(x59) q[4];\nrz(x60) q[4];\nrx(x61) q[5];\nrz(x62) q[5];\ncrz(x60) q[5], q[4];\ncrz(x63) q[4], q[3];\ncrz(x64) q[3], q[2];\ncrz(x65) q[2], q[1];\ncrz(x66) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["4455f86d6bbe6ba7a95bec45f96460b4","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 8}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [292, 300], \"expectation_value\": -4.55023473274114, \"params\": [[1.0401, 0.2624, 0.0241, 1.0491000000000001, 0.0064, 0.5351, 1.1978, -0.0162, -0.0849], [0.9782000000000001, 0.3688, 0.0862, 1.0421, -0.0021000000000000003, -0.4032, 0.8699, 0.3342, 0.08360000000000001], [1.0738, 0.0219, 0.0115, 1.0644, -0.0011, 1.2048, 1.171, 0.1363, -0.1288]], \"bitstrings\": [\"011011011\", \"011010011\"], \"total_optimization_steps\": 120, \"probabilities\": [0.37596860364113294, 0.5176614939806341], \"optimization_time\": 9.917059183120728}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(2) + -0.5 * Z(3) + -1.5 * Z(8) + -0.5 * Z(5) + -1.0 * Z(7) + 0.0 * Z(6)",10,9,2,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 7, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"010110011\", \"011011010\", \"011010011\", \"101100011\", \"110100011\", \"101011010\", \"101010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(1.0401) q[0];\nry(0.2624) q[1];\nry(0.0241) q[2];\nry(1.0491) q[3];\nry(0.0064) q[4];\nry(0.5351) q[5];\nry(1.1978) q[6];\nry(-0.0162) q[7];\nry(-0.0849) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(0.9782) q[0];\nry(0.3688) q[1];\nry(0.0862) q[2];\nry(1.0421) q[3];\nry(-0.0021) q[4];\nry(-0.4032) q[5];\nry(0.8699) q[6];\nry(0.3342) q[7];\nry(0.0836) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(1.0738) q[0];\nry(0.0219) q[1];\nry(0.0115) q[2];\nry(1.0644) q[3];\nry(-0.0011) q[4];\nry(1.2048) q[5];\nry(1.171) q[6];\nry(0.1363) q[7];\nry(-0.1288) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["c29746f1f9b101fcb66cc7ae69070de4","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 6, \"target\": 7}]}","{\"states\": [32, 38], \"expectation_value\": -5.835447582708712, \"params\": [0.0385, 0.125, 0.3472, -0.0059, 0.4067, 0.0022, 0.0035, 0.1951, 0.0641, -0.15080000000000002, 0.4061, -0.0022, 0.3961, 0.003, 0.1452, 0.14850000000000002, 0.0386, 0.1072, 0.3388, -0.0078000000000000005, 0.401, 0.0019, -0.003, 0.19490000000000002, 0.06470000000000001, -0.1579, 0.401, 0.0038, 0.40290000000000004, 0.0014, 0.0626, -0.1331, 0.0339, -0.099, 0.3201, -0.001, 0.4082, 0.0038, -0.0017000000000000001, 0.1948, 0.0675, 0.05, 0.4041, 0.003, 0.39390000000000003, 0.0033, 0.0068000000000000005, -0.1666, 0.0397, -0.115, 0.31370000000000003, 0.006, 0.4073, -0.0852, -0.0002, 0.033100000000000004, 0.059800000000000006, 0.1648, 0.4015, 0.0019, 0.3985, -0.0083, -0.0049, 0.0082, -0.1432, -0.37620000000000003, 0.3758, -0.07, -0.09090000000000001, 0.1613, -0.37060000000000004, -0.1487, -0.3795, 0.3674, -0.0149, -0.10210000000000001, 0.34640000000000004, -0.37310000000000004, -0.1553, -0.382, 0.3683, -0.0024000000000000002, -0.1277, 0.3891, -0.368, -0.1567, -0.371, 0.3665, 0.1804, -0.1547, 0.3917, -0.3675], \"bitstrings\": [\"11011111\", \"11011001\"], \"total_optimization_steps\": 40, \"probabilities\": [0.1313368122405868, 0.2126248664194361], \"optimization_time\": 32.619394302368164}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(5) + -1.5 * Z(6) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(7)",4,8,4,"{\"smallest_eigenvalues\": [-7.0, -7.0, -7.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"11011001\", \"01001111\", \"10111001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.0385) q[0];\nrz(0.125) q[0];\nrx(0.3472) q[1];\nrz(-0.0059) q[1];\nrx(0.4067) q[2];\nrz(0.0022) q[2];\nrx(0.0035) q[3];\nrz(0.1951) q[3];\nrx(0.0641) q[4];\nrz(-0.1508) q[4];\nrx(0.4061) q[5];\nrz(-0.0022) q[5];\nrx(0.3961) q[6];\nrz(0.003) q[6];\nrx(0.1452) q[7];\nrz(0.1485) q[7];\ncrx(-0.3706) q[7], q[6];\ncrx(0.1613) q[6], q[5];\ncrx(-0.0909) q[5], q[4];\ncrx(-0.07) q[4], q[3];\ncrx(0.3758) q[3], q[2];\ncrx(-0.3762) q[2], q[1];\ncrx(-0.1432) q[1], q[0];\nrx(0.0386) q[0];\nrz(0.1072) q[0];\nrx(0.3388) q[1];\nrz(-0.0078) q[1];\nrx(0.401) q[2];\nrz(0.0019) q[2];\nrx(-0.003) q[3];\nrz(0.1949) q[3];\nrx(0.0647) q[4];\nrz(-0.1579) q[4];\nrx(0.401) q[5];\nrz(0.0038) q[5];\nrx(0.4029) q[6];\nrz(0.0014) q[6];\nrx(0.0626) q[7];\nrz(-0.1331) q[7];\ncrx(-0.3731) q[7], q[6];\ncrx(0.3464) q[6], q[5];\ncrx(-0.1021) q[5], q[4];\ncrx(-0.0149) q[4], q[3];\ncrx(0.3674) q[3], q[2];\ncrx(-0.3795) q[2], q[1];\ncrx(-0.1487) q[1], q[0];\nrx(0.0339) q[0];\nrz(-0.099) q[0];\nrx(0.3201) q[1];\nrz(-0.001) q[1];\nrx(0.4082) q[2];\nrz(0.0038) q[2];\nrx(-0.0017) q[3];\nrz(0.1948) q[3];\nrx(0.0675) q[4];\nrz(0.05) q[4];\nrx(0.4041) q[5];\nrz(0.003) q[5];\nrx(0.3939) q[6];\nrz(0.0033) q[6];\nrx(0.0068) q[7];\nrz(-0.1666) q[7];\ncrx(-0.368) q[7], q[6];\ncrx(0.3891) q[6], q[5];\ncrx(-0.1277) q[5], q[4];\ncrx(-0.0024) q[4], q[3];\ncrx(0.3683) q[3], q[2];\ncrx(-0.382) q[2], q[1];\ncrx(-0.1553) q[1], q[0];\nrx(0.0397) q[0];\nrz(-0.115) q[0];\nrx(0.3137) q[1];\nrz(0.006) q[1];\nrx(0.4073) q[2];\nrz(-0.0852) q[2];\nrx(-0.0002) q[3];\nrz(0.0331) q[3];\nrx(0.0598) q[4];\nrz(0.1648) q[4];\nrx(0.4015) q[5];\nrz(0.0019) q[5];\nrx(0.3985) q[6];\nrz(-0.0083) q[6];\nrx(-0.0049) q[7];\nrz(0.0082) q[7];\ncrx(-0.3675) q[7], q[6];\ncrx(0.3917) q[6], q[5];\ncrx(-0.1547) q[5], q[4];\ncrx(0.1804) q[4], q[3];\ncrx(0.3665) q[3], q[2];\ncrx(-0.371) q[2], q[1];\ncrx(-0.1567) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[6], q[5];\ncrx(x18) q[5], q[4];\ncrx(x19) q[4], q[3];\ncrx(x20) q[3], q[2];\ncrx(x21) q[2], q[1];\ncrx(x22) q[1], q[0];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x27) q[5];\nrz(x33) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nrx(x36) q[7];\nrz(x37) q[7];\ncrx(x38) q[7], q[6];\ncrx(x39) q[6], q[5];\ncrx(x40) q[5], q[4];\ncrx(x41) q[4], q[3];\ncrx(x42) q[3], q[2];\ncrx(x43) q[2], q[1];\ncrx(x44) q[1], q[0];\nrx(x45) q[0];\nrz(x46) q[0];\nrx(x47) q[1];\nrz(x48) q[1];\nrx(x49) q[2];\nrz(x33) q[2];\nrx(x50) q[3];\nrz(x51) q[3];\nrx(x52) q[4];\nrz(x53) q[4];\nrx(x54) q[5];\nrz(x13) q[5];\nrx(x55) q[6];\nrz(x56) q[6];\nrx(x57) q[7];\nrz(x58) q[7];\ncrx(x59) q[7], q[6];\ncrx(x60) q[6], q[5];\ncrx(x61) q[5], q[4];\ncrx(x62) q[4], q[3];\ncrx(x63) q[3], q[2];\ncrx(x64) q[2], q[1];\ncrx(x65) q[1], q[0];\nrx(x66) q[0];\nrz(x67) q[0];\nrx(x68) q[1];\nrz(x69) q[1];\nrx(x70) q[2];\nrz(x71) q[2];\nrx(x72) q[3];\nrz(x73) q[3];\nrx(x74) q[4];\nrz(x75) q[4];\nrx(x76) q[5];\nrz(x28) q[5];\nrx(x77) q[6];\nrz(x78) q[6];\nrx(x79) q[7];\nrz(x80) q[7];\ncrx(x81) q[7], q[6];\ncrx(x82) q[6], q[5];\ncrx(x83) q[5], q[4];\ncrx(x84) q[4], q[3];\ncrx(x85) q[3], q[2];\ncrx(x86) q[2], q[1];\ncrx(x87) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["f8645113517905e1df1749520352d679","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 6}, {\"weight\": 15, \"source\": 1, \"target\": 4}, {\"weight\": 7, \"source\": 2, \"target\": 3}, {\"weight\": 16, \"source\": 2, \"target\": 7}, {\"weight\": 17, \"source\": 3, \"target\": 4}, {\"weight\": 15, \"source\": 3, \"target\": 5}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 2, \"source\": 6, \"target\": 7}]}","{\"states\": [351, 220], \"expectation_value\": -33.770427835155814, \"params\": null, \"bitstrings\": [\"010100000\", \"100100011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.0903789040445417, 0.3121445371268592], \"optimization_time\": 186.9710168838501}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0 * Z(3) + 17.5 * Z(5) + 12.0 * Z(6) + 6.5 * Z(7) + 1.0 * Z(8)",1,9,4,"{\"smallest_eigenvalues\": [-71.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -63.0, \"smallest_bitstrings\": [\"100100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(7.7632) q[5];\nry(-0.0267) q[4];\ncry(0.4218) q[5], q[4];\nry(0.383) q[6];\nry(0.383) q[2];\ncry(-1.118) q[5], q[6];\ncry(-1.118) q[5], q[2];\nry(4.0096) q[7];\nry(2.1271) q[0];\ncry(-4.0386) q[0], q[6];\ncry(-0.8512) q[6], q[4];\ncry(-0.0017) q[0], q[4];\ncry(3.9231) q[6], q[2];\ncry(-0.1401) q[0], q[2];\ncry(2.2496) q[2], q[4];\ncry(-1.5699) q[4], q[3];\ncry(-0.8992) q[4], q[2];\ncry(-0.0371) q[2], q[7];\ncry(0.5533) q[4], q[7];\ncry(-1.5708) q[1], q[8];\nry(-0.1083) q[1];\ncry(0.0045) q[5], q[1];\ncry(0.3171) q[6], q[1];\ncry(0.0871) q[0], q[1];\ncry(0.8627) q[4], q[1];\ncry(0.2067) q[4], q[8];\ncry(-0.2906) q[2], q[8];\nry(0.3687) q[3];\ncry(-0.3427) q[2], q[3];\ncry(0.1371) q[5], q[3];\ncry(15.3542) q[6], q[5];\ncry(19.3949) q[0], q[5];\ncry(1.552) q[6], q[3];\ncry(-3.3836) q[6], q[7];\ncry(0.0653) q[0], q[7];\ncry(0.7319) q[3], q[7];\ncry(0.3937) q[3], q[1];\nry(0.2813) q[8];\ncry(-0.235) q[6], q[8];\ncry(-0.0834) q[0], q[8];\ncry(-0.1198) q[7], q[8];\ncry(0.2478) q[1], q[3];\ncry(-0.2473) q[3], q[8];\ncry(-0.7341) q[7], q[1];\ncry(0.6504) q[2], q[1];\ncry(0.2519) q[7], q[2];\ncry(-0.209) q[1], q[2];\ncry(0.4682) q[3], q[2];\ncry(-0.477) q[3], q[4];\ncry(-0.7543) q[1], q[4];\ncry(0.8789) q[7], q[4];\ncry(-0.3202) q[3], q[0];\ncry(3.5244) q[7], q[5];\ncry(-1.6199) q[0], q[3];\ncry(1.5126) q[1], q[5];\ncry(-0.6898) q[4], q[5];\ncry(-0.5031) q[2], q[5];\ncry(-1.2402) q[3], q[5];\ncry(0.3627) q[8], q[5];\ncry(0.1661) q[5], q[8];\ncry(-0.6287) q[8], q[4];\ncry(0.3005) q[7], q[0];\ncry(2.7462) q[1], q[0];\ncry(-0.1087) q[6], q[0];\ncry(-0.2267) q[8], q[0];\ncry(0.3982) q[8], q[3];\ncry(-0.0973) q[7], q[3];\ncry(0.0783) q[2], q[0];\ncry(-0.0485) q[5], q[0];\ncry(-3.0803) q[1], q[7];\ncry(-0.0686) q[5], q[7];\ncry(0.0387) q[4], q[0];\ncry(-0.3232) q[8], q[2];\ncry(-2.9653) q[1], q[6];\ncry(2.7351) q[2], q[6];\ncry(-0.6942) q[4], q[6];\ncry(-1.364) q[7], q[6];\ncry(-0.4397) q[8], q[6];\ncry(2.7497) q[3], q[6];\ncry(-0.1807) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}",{"$cut":{"chars":152650,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(7.7632) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(7.7632) q[5];\\nry(-0.0267) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(7.7632) q[5];\\nry(-0.0267) q[4];\\ncry(0.4218) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(7.7632) q[5];\\nry(-0.0267) q[4];\\ncry(0.4218) q[5], q[4];\\nry(0.383) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(7.7632) q[5];\\nry(-0.0267) q[4];\\ncry(0.4218) q[5], q[4];\\nry(0.383) q[6];\\nry(0.383) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(7.7632) q[5];\\nry(-0.0267) q[4];\\ncry(0.4218) q[5], q[4];\\nry(0.383) q[6];\\nry(0.383) q[2];\\ncry(-1.118) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(7.7632) q[5];\\nry(-0.0267) q[4];\\ncry(0.4218) q[5], q[4];\\nry(0.383) q[6];\\nry(0.383) q[2];\\ncry(-1.118) q[5], q[6];\\ncry(-1.118) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(7.7632) q[5];\\nry(-0.0267) q[4];\\ncry(0.4218) q[5], q[4];\\nry(0.383) q[6];\\nry(0.383) q[2];\\ncry(-1.118) q[5], q[6];\\ncry(-1.118) q[5], q[2];\\nry(4.0096) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(7.7632) q[5];\\nry(-0.0267) q[4];\\ncry(0.4218) q[5], q[4];\\nry(0.383) q[6];\\nry(0.383) q[2];\\ncry(-1.118) q[5], q[6];\\ncry(-1.118) q[5], q[2];\\nry(4.0096) q[7];\\nry(2.1271) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.i"}}]
["1c71ea734fc46f5185b7f04bf57e3d21","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 7, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 0, \"target\": 5}, {\"capacity\": 4, \"source\": 0, \"target\": 8}, {\"capacity\": 5, \"source\": 1, \"target\": 7}, {\"capacity\": 5, \"source\": 2, \"target\": 5}, {\"capacity\": 5, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 8}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 7}, {\"capacity\": 6, \"source\": 4, \"target\": 9}, {\"capacity\": 3, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 5, \"source\": 5, \"target\": 8}, {\"capacity\": 5, \"source\": 5, \"target\": 9}, {\"capacity\": 7, \"source\": 6, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 7}, {\"capacity\": 6, \"source\": 6, \"target\": 8}, {\"capacity\": 5, \"source\": 7, \"target\": 2}, {\"capacity\": 3, \"source\": 7, \"target\": 10}, {\"capacity\": 4, \"source\": 8, \"target\": 1}, {\"capacity\": 7, \"source\": 8, \"target\": 2}, {\"capacity\": 3, \"source\": 9, \"target\": 4}]}","{\"states\": [0, 256], \"expectation_value\": -29.29500037366231, \"params\": [-0.15130000000000002, 0.0585, -0.063, -0.0103, -0.0707, 0.2119, 0.0253, 0.2584, 0.40040000000000003, 0.0018000000000000002, 0.4052, 0.0014, 0.0034000000000000002, 0.3004, -0.0011, 0.3095, 0.006900000000000001, 0.2422, 0.0009000000000000001, 0.2528, -0.024, 0.0683, 0.013600000000000001, 0.2477, 0.007500000000000001, 0.2131, -0.0016, 0.2997, -0.37620000000000003, -0.0024000000000000002, -0.3588, -0.0026000000000000003, 0.0037, 0.3022, 0.006200000000000001, 0.2682, 0.006500000000000001, 0.1955, -0.0028, 0.313, -0.0037, 0.3136, 0.0053, 0.3196, -0.061900000000000004, -0.0334, 0.23670000000000002, 0.0046, 0.015000000000000001, 0.2634, 0.012, 0.0092, 0.40750000000000003, 0.0004, 0.4007, 0.009600000000000001, 0.0036000000000000003, 0.3164, 0.0011, 0.0054, -0.0021000000000000003, 0.3062, 0.0057, 0.0038, 0.0073, 0.2856, 0.0057, 0.0053, 0.0045000000000000005, 0.2844, 0.0011, 0.0092, -0.3599, 0.0061, -0.1864, 0.0023, 0.0063, 0.2508, -0.0041, 0.0023, 0.0047, 0.24700000000000003, -0.0004, 0.0017000000000000001, 0.0092, 0.2795, -0.0031000000000000003, 0.0079, -0.0145, -0.0032, 0.3945, -0.0002, -0.0016, 0.015000000000000001, -0.0024000000000000002, 0.16540000000000002, 0.0027, -0.0033, 0.0036000000000000003, 0.040100000000000004, 0.0092, 0.3972, 0.0024000000000000002, 0.0041, 0.0017000000000000001, 0.0037, 0.3521, -0.0001, 0.0026000000000000003, 0.0008], \"bitstrings\": [\"11111111111\", \"11011111111\"], \"total_optimization_steps\": 40, \"probabilities\": [0.3046289856216986, 0.4136391095225722], \"optimization_time\": 44.65554332733154}","-1.75 * (Z(0) @ Z(4)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(6)) + -1.0 * (Z(1) @ Z(9)) + -1.25 * (Z(8) @ Z(1)) + -1.25 * (Z(3) @ Z(6)) + -1.75 * (Z(3) @ Z(9)) + -1.25 * (Z(3) @ Z(8)) + -1.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(10) @ Z(6)) + -2.25 * (Z(10) @ Z(5)) + -1.75 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(9)) + -0.25 * (Z(7) @ Z(8)) + 4.5 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(8)) + -1.75 * Z(4) + -0.25 * Z(0) + 0.0 * Z(6) + -1.75 * Z(9) + 0.25 * Z(1) + -0.25 * Z(8) + -2.0 * Z(3) + 0.5 * Z(5) + -2.0 * Z(10) + 3.5 * Z(7) + 3.75 * Z(2)",6,11,2,"{\"smallest_eigenvalues\": [-35.5, -35.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -31.5, \"smallest_bitstrings\": [\"11011110111\", \"11011111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.1513) q[0];\nrz(0.0585) q[0];\nrx(-0.0707) q[1];\nrz(0.2119) q[1];\nrx(0.4004) q[2];\nrz(0.0018) q[2];\nrx(0.0034) q[3];\nrz(0.3004) q[3];\nrx(0.0069) q[4];\nrz(0.2422) q[4];\nrx(-0.024) q[5];\nrz(0.0683) q[5];\nrx(0.0075) q[6];\nrz(0.2131) q[6];\nrx(-0.3762) q[7];\nrz(-0.0024) q[7];\nrx(0.0037) q[8];\nrz(0.3022) q[8];\nrx(0.0065) q[9];\nrz(0.1955) q[9];\nrx(-0.0037) q[10];\nrz(0.3136) q[10];\ncrx(-0.0033) q[10], q[9];\ncrx(0.0027) q[10], q[8];\ncrx(0.1654) q[10], q[7];\ncrx(-0.0024) q[10], q[6];\ncrx(0.015) q[10], q[5];\ncrx(-0.0016) q[10], q[4];\ncrx(-0.0002) q[10], q[3];\ncrx(0.3945) q[10], q[2];\ncrx(-0.0032) q[10], q[1];\ncrx(-0.0145) q[10], q[0];\ncrx(0.0036) q[9], q[10];\ncrx(0.0027) q[9], q[8];\ncrx(0.1654) q[9], q[7];\ncrx(-0.0024) q[9], q[6];\ncrx(0.015) q[9], q[5];\ncrx(-0.0016) q[9], q[4];\ncrx(-0.0002) q[9], q[3];\ncrx(0.3945) q[9], q[2];\ncrx(-0.0032) q[9], q[1];\ncrx(-0.0145) q[9], q[0];\ncrx(0.0036) q[8], q[10];\ncrx(-0.0033) q[8], q[9];\ncrx(0.1654) q[8], q[7];\ncrx(-0.0024) q[8], q[6];\ncrx(0.015) q[8], q[5];\ncrx(-0.0016) q[8], q[4];\ncrx(-0.0002) q[8], q[3];\ncrx(0.3945) q[8], q[2];\ncrx(-0.0032) q[8], q[1];\ncrx(-0.0145) q[8], q[0];\ncrx(0.0036) q[7], q[10];\ncrx(-0.0033) q[7], q[9];\ncrx(0.0027) q[7], q[8];\ncrx(-0.0024) q[7], q[6];\ncrx(0.015) q[7], q[5];\ncrx(-0.0016) q[7], q[4];\ncrx(-0.0002) q[7], q[3];\ncrx(0.3945) q[7], q[2];\ncrx(-0.0032) q[7], q[1];\ncrx(-0.0145) q[7], q[0];\ncrx(0.0036) q[6], q[10];\ncrx(-0.0033) q[6], q[9];\ncrx(0.0027) q[6], q[8];\ncrx(0.1654) q[6], q[7];\ncrx(0.015) q[6], q[5];\ncrx(-0.0016) q[6], q[4];\ncrx(-0.0002) q[6], q[3];\ncrx(0.3945) q[6], q[2];\ncrx(-0.0032) q[6], q[1];\ncrx(-0.0145) q[6], q[0];\ncrx(0.0036) q[5], q[10];\ncrx(-0.0033) q[5], q[9];\ncrx(0.0027) q[5], q[8];\ncrx(0.1654) q[5], q[7];\ncrx(-0.0024) q[5], q[6];\ncrx(-0.0016) q[5], q[4];\ncrx(-0.0002) q[5], q[3];\ncrx(0.3945) q[5], q[2];\ncrx(-0.0032) q[5], q[1];\ncrx(-0.0145) q[5], q[0];\ncrx(0.0036) q[4], q[10];\ncrx(-0.0033) q[4], q[9];\ncrx(0.0027) q[4], q[8];\ncrx(0.1654) q[4], q[7];\ncrx(-0.0024) q[4], q[6];\ncrx(0.015) q[4], q[5];\ncrx(-0.0002) q[4], q[3];\ncrx(0.3945) q[4], q[2];\ncrx(-0.0032) q[4], q[1];\ncrx(-0.0145) q[4], q[0];\ncrx(0.0036) q[3], q[10];\ncrx(-0.0033) q[3], q[9];\ncrx(0.0027) q[3], q[8];\ncrx(0.1654) q[3], q[7];\ncrx(-0.0024) q[3], q[6];\ncrx(0.015) q[3], q[5];\ncrx(-0.0016) q[3], q[4];\ncrx(0.3945) q[3], q[2];\ncrx(-0.0032) q[3], q[1];\ncrx(-0.0145) q[3], q[0];\ncrx(0.0036) q[2], q[10];\ncrx(-0.0033) q[2], q[9];\ncrx(0.0027) q[2], q[8];\ncrx(0.1654) q[2], q[7];\ncrx(-0.0024) q[2], q[6];\ncrx(0.015) q[2], q[5];\ncrx(-0.0016) q[2], q[4];\ncrx(-0.0002) q[2], q[3];\ncrx(-0.0032) q[2], q[1];\ncrx(-0.0145) q[2], q[0];\ncrx(0.0036) q[1], q[10];\ncrx(-0.0033) q[1], q[9];\ncrx(0.0027) q[1], q[8];\ncrx(0.1654) q[1], q[7];\ncrx(-0.0024) q[1], q[6];\ncrx(0.015) q[1], q[5];\ncrx(-0.0016) q[1], q[4];\ncrx(-0.0002) q[1], q[3];\ncrx(0.3945) q[1], q[2];\ncrx(-0.0145) q[1], q[0];\ncrx(0.0036) q[0], q[10];\ncrx(-0.0033) q[0], q[9];\ncrx(0.0027) q[0], q[8];\ncrx(0.1654) q[0], q[7];\ncrx(-0.0024) q[0], q[6];\ncrx(0.015) q[0], q[5];\ncrx(-0.0016) q[0], q[4];\ncrx(-0.0002) q[0], q[3];\ncrx(0.3945) q[0], q[2];\ncrx(-0.0032) q[0], q[1];\nrx(-0.063) q[0];\nrz(-0.0103) q[0];\nrx(0.0253) q[1];\nrz(0.2584) q[1];\nrx(0.4052) q[2];\nrz(0.0014) q[2];\nrx(-0.0011) q[3];\nrz(0.3095) q[3];\nrx(0.0009) q[4];\nrz(0.2528) q[4];\nrx(0.0136) q[5];\nrz(0.2477) q[5];\nrx(-0.0016) q[6];\nrz(0.2997) q[6];\nrx(-0.3588) q[7];\nrz(-0.0026) q[7];\nrx(0.0062) q[8];\nrz(0.2682) q[8];\nrx(-0.0028) q[9];\nrz(0.313) q[9];\nrx(0.0053) q[10];\nrz(0.3196) q[10];\nrx(-0.0619) q[0];\nrz(-0.0334) q[0];\nrx(0.015) q[1];\nrz(0.2634) q[1];\nrx(0.4075) q[2];\nrz(0.0004) q[2];\nrx(0.0036) q[3];\nrz(0.3164) q[3];\nrx(-0.0021) q[4];\nrz(0.3062) q[4];\nrx(0.0073) q[5];\nrz(0.2856) q[5];\nrx(0.0045) q[6];\nrz(0.2844) q[6];\nrx(-0.3599) q[7];\nrz(0.0061) q[7];\nrx(0.0063) q[8];\nrz(0.2508) q[8];\nrx(0.0047) q[9];\nrz(0.247) q[9];\nrx(0.0092) q[10];\nrz(0.2795) q[10];\ncrx(0.0026) q[10], q[9];\ncrx(-0.0001) q[10], q[8];\ncrx(0.3521) q[10], q[7];\ncrx(0.0037) q[10], q[6];\ncrx(0.0017) q[10], q[5];\ncrx(0.0041) q[10], q[4];\ncrx(0.0024) q[10], q[3];\ncrx(0.3972) q[10], q[2];\ncrx(0.0092) q[10], q[1];\ncrx(0.0401) q[10], q[0];\ncrx(0.0008) q[9], q[10];\ncrx(-0.0001) q[9], q[8];\ncrx(0.3521) q[9], q[7];\ncrx(0.0037) q[9], q[6];\ncrx(0.0017) q[9], q[5];\ncrx(0.0041) q[9], q[4];\ncrx(0.0024) q[9], q[3];\ncrx(0.3972) q[9], q[2];\ncrx(0.0092) q[9], q[1];\ncrx(0.0401) q[9], q[0];\ncrx(0.0008) q[8], q[10];\ncrx(0.0026) q[8], q[9];\ncrx(0.3521) q[8], q[7];\ncrx(0.0037) q[8], q[6];\ncrx(0.0017) q[8], q[5];\ncrx(0.0041) q[8], q[4];\ncrx(0.0024) q[8], q[3];\ncrx(0.3972) q[8], q[2];\ncrx(0.0092) q[8], q[1];\ncrx(0.0401) q[8], q[0];\ncrx(0.0008) q[7], q[10];\ncrx(0.0026) q[7], q[9];\ncrx(-0.0001) q[7], q[8];\ncrx(0.0037) q[7], q[6];\ncrx(0.0017) q[7], q[5];\ncrx(0.0041) q[7], q[4];\ncrx(0.0024) q[7], q[3];\ncrx(0.3972) q[7], q[2];\ncrx(0.0092) q[7], q[1];\ncrx(0.0401) q[7], q[0];\ncrx(0.0008) q[6], q[10];\ncrx(0.0026) q[6], q[9];\ncrx(-0.0001) q[6], q[8];\ncrx(0.3521) q[6], q[7];\ncrx(0.0017) q[6], q[5];\ncrx(0.0041) q[6], q[4];\ncrx(0.0024) q[6], q[3];\ncrx(0.3972) q[6], q[2];\ncrx(0.0092) q[6], q[1];\ncrx(0.0401) q[6], q[0];\ncrx(0.0008) q[5], q[10];\ncrx(0.0026) q[5], q[9];\ncrx(-0.0001) q[5], q[8];\ncrx(0.3521) q[5], q[7];\ncrx(0.0037) q[5], q[6];\ncrx(0.0041) q[5], q[4];\ncrx(0.0024) q[5], q[3];\ncrx(0.3972) q[5], q[2];\ncrx(0.0092) q[5], q[1];\ncrx(0.0401) q[5], q[0];\ncrx(0.0008) q[4], q[10];\ncrx(0.0026) q[4], q[9];\ncrx(-0.0001) q[4], q[8];\ncrx(0.3521) q[4], q[7];\ncrx(0.0037) q[4], q[6];\ncrx(0.0017) q[4], q[5];\ncrx(0.0024) q[4], q[3];\ncrx(0.3972) q[4], q[2];\ncrx(0.0092) q[4], q[1];\ncrx(0.0401) q[4], q[0];\ncrx(0.0008) q[3], q[10];\ncrx(0.0026) q[3], q[9];\ncrx(-0.0001) q[3], q[8];\ncrx(0.3521) q[3], q[7];\ncrx(0.0037) q[3], q[6];\ncrx(0.0017) q[3], q[5];\ncrx(0.0041) q[3], q[4];\ncrx(0.3972) q[3], q[2];\ncrx(0.0092) q[3], q[1];\ncrx(0.0401) q[3], q[0];\ncrx(0.0008) q[2], q[10];\ncrx(0.0026) q[2], q[9];\ncrx(-0.0001) q[2], q[8];\ncrx(0.3521) q[2], q[7];\ncrx(0.0037) q[2], q[6];\ncrx(0.0017) q[2], q[5];\ncrx(0.0041) q[2], q[4];\ncrx(0.0024) q[2], q[3];\ncrx(0.0092) q[2], q[1];\ncrx(0.0401) q[2], q[0];\ncrx(0.0008) q[1], q[10];\ncrx(0.0026) q[1], q[9];\ncrx(-0.0001) q[1], q[8];\ncrx(0.3521) q[1], q[7];\ncrx(0.0037) q[1], q[6];\ncrx(0.0017) q[1], q[5];\ncrx(0.0041) q[1], q[4];\ncrx(0.0024) q[1], q[3];\ncrx(0.3972) q[1], q[2];\ncrx(0.0401) q[1], q[0];\ncrx(0.0008) q[0], q[10];\ncrx(0.0026) q[0], q[9];\ncrx(-0.0001) q[0], q[8];\ncrx(0.3521) q[0], q[7];\ncrx(0.0037) q[0], q[6];\ncrx(0.0017) q[0], q[5];\ncrx(0.0041) q[0], q[4];\ncrx(0.0024) q[0], q[3];\ncrx(0.3972) q[0], q[2];\ncrx(0.0092) q[0], q[1];\nrx(0.2367) q[0];\nrz(0.0046) q[0];\nrx(0.012) q[1];\nrz(0.0092) q[1];\nrx(0.4007) q[2];\nrz(0.0096) q[2];\nrx(0.0011) q[3];\nrz(0.0054) q[3];\nrx(0.0057) q[4];\nrz(0.0038) q[4];\nrx(0.0057) q[5];\nrz(0.0053) q[5];\nrx(0.0011) q[6];\nrz(0.0092) q[6];\nrx(-0.1864) q[7];\nrz(0.0023) q[7];\nrx(-0.0041) q[8];\nrz(0.0023) q[8];\nrx(-0.0004) q[9];\nrz(0.0017) q[9];\nrx(-0.0031) q[10];\nrz(0.0079) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrx(x22) q[10], q[9];\ncrx(x23) q[10], q[8];\ncrx(x24) q[10], q[7];\ncrx(x15) q[10], q[6];\ncrx(x25) q[10], q[5];\ncrx(x26) q[10], q[4];\ncrx(x27) q[10], q[3];\ncrx(x28) q[10], q[2];\ncrx(x29) q[10], q[1];\ncrx(x30) q[10], q[0];\ncrx(x31) q[9], q[10];\ncrx(x23) q[9], q[8];\ncrx(x24) q[9], q[7];\ncrx(x15) q[9], q[6];\ncrx(x25) q[9], q[5];\ncrx(x26) q[9], q[4];\ncrx(x27) q[9], q[3];\ncrx(x28) q[9], q[2];\ncrx(x29) q[9], q[1];\ncrx(x30) q[9], q[0];\ncrx(x31) q[8], q[10];\ncrx(x22) q[8], q[9];\ncrx(x24) q[8], q[7];\ncrx(x15) q[8], q[6];\ncrx(x25) q[8], q[5];\ncrx(x26) q[8], q[4];\ncrx(x27) q[8], q[3];\ncrx(x28) q[8], q[2];\ncrx(x29) q[8], q[1];\ncrx(x30) q[8], q[0];\ncrx(x31) q[7], q[10];\ncrx(x22) q[7], q[9];\ncrx(x23) q[7], q[8];\ncrx(x15) q[7], q[6];\ncrx(x25) q[7], q[5];\ncrx(x26) q[7], q[4];\ncrx(x27) q[7], q[3];\ncrx(x28) q[7], q[2];\ncrx(x29) q[7], q[1];\ncrx(x30) q[7], q[0];\ncrx(x31) q[6], q[10];\ncrx(x22) q[6], q[9];\ncrx(x23) q[6], q[8];\ncrx(x24) q[6], q[7];\ncrx(x25) q[6], q[5];\ncrx(x26) q[6], q[4];\ncrx(x27) q[6], q[3];\ncrx(x28) q[6], q[2];\ncrx(x29) q[6], q[1];\ncrx(x30) q[6], q[0];\ncrx(x31) q[5], q[10];\ncrx(x22) q[5], q[9];\ncrx(x23) q[5], q[8];\ncrx(x24) q[5], q[7];\ncrx(x15) q[5], q[6];\ncrx(x26) q[5], q[4];\ncrx(x27) q[5], q[3];\ncrx(x28) q[5], q[2];\ncrx(x29) q[5], q[1];\ncrx(x30) q[5], q[0];\ncrx(x31) q[4], q[10];\ncrx(x22) q[4], q[9];\ncrx(x23) q[4], q[8];\ncrx(x24) q[4], q[7];\ncrx(x15) q[4], q[6];\ncrx(x25) q[4], q[5];\ncrx(x27) q[4], q[3];\ncrx(x28) q[4], q[2];\ncrx(x29) q[4], q[1];\ncrx(x30) q[4], q[0];\ncrx(x31) q[3], q[10];\ncrx(x22) q[3], q[9];\ncrx(x23) q[3], q[8];\ncrx(x24) q[3], q[7];\ncrx(x15) q[3], q[6];\ncrx(x25) q[3], q[5];\ncrx(x26) q[3], q[4];\ncrx(x28) q[3], q[2];\ncrx(x29) q[3], q[1];\ncrx(x30) q[3], q[0];\ncrx(x31) q[2], q[10];\ncrx(x22) q[2], q[9];\ncrx(x23) q[2], q[8];\ncrx(x24) q[2], q[7];\ncrx(x15) q[2], q[6];\ncrx(x25) q[2], q[5];\ncrx(x26) q[2], q[4];\ncrx(x27) q[2], q[3];\ncrx(x29) q[2], q[1];\ncrx(x30) q[2], q[0];\ncrx(x31) q[1], q[10];\ncrx(x22) q[1], q[9];\ncrx(x23) q[1], q[8];\ncrx(x24) q[1], q[7];\ncrx(x15) q[1], q[6];\ncrx(x25) q[1], q[5];\ncrx(x26) q[1], q[4];\ncrx(x27) q[1], q[3];\ncrx(x28) q[1], q[2];\ncrx(x30) q[1], q[0];\ncrx(x31) q[0], q[10];\ncrx(x22) q[0], q[9];\ncrx(x23) q[0], q[8];\ncrx(x24) q[0], q[7];\ncrx(x15) q[0], q[6];\ncrx(x25) q[0], q[5];\ncrx(x26) q[0], q[4];\ncrx(x27) q[0], q[3];\ncrx(x28) q[0], q[2];\ncrx(x29) q[0], q[1];\nrx(x32) q[0];\nrz(x33) q[0];\nrx(x34) q[1];\nrz(x35) q[1];\nrx(x36) q[2];\nrz(x37) q[2];\nrx(x38) q[3];\nrz(x39) q[3];\nrx(x40) q[4];\nrz(x41) q[4];\nrx(x42) q[5];\nrz(x43) q[5];\nrx(x26) q[6];\nrz(x44) q[6];\nrx(x45) q[7];\nrz(x46) q[7];\nrx(x47) q[8];\nrz(x48) q[8];\nrx(x49) q[9];\nrz(x50) q[9];\nrx(x51) q[10];\nrz(x52) q[10];\nrx(x53) q[0];\nrz(x54) q[0];\nrx(x25) q[1];\nrz(x55) q[1];\nrx(x56) q[2];\nrz(x57) q[2];\nrx(x31) q[3];\nrz(x58) q[3];\nrx(x59) q[4];\nrz(x60) q[4];\nrx(x61) q[5];\nrz(x62) q[5];\nrx(x63) q[6];\nrz(x64) q[6];\nrx(x65) q[7];\nrz(x66) q[7];\nrx(x67) q[8];\nrz(x68) q[8];\nrx(x69) q[9];\nrz(x70) q[9];\nrx(x71) q[10];\nrz(x72) q[10];\ncrx(x73) q[10], q[9];\ncrx(x74) q[10], q[8];\ncrx(x75) q[10], q[7];\ncrx(x16) q[10], q[6];\ncrx(x76) q[10], q[5];\ncrx(x77) q[10], q[4];\ncrx(x78) q[10], q[3];\ncrx(x79) q[10], q[2];\ncrx(x71) q[10], q[1];\ncrx(x80) q[10], q[0];\ncrx(x81) q[9], q[10];\ncrx(x74) q[9], q[8];\ncrx(x75) q[9], q[7];\ncrx(x16) q[9], q[6];\ncrx(x76) q[9], q[5];\ncrx(x77) q[9], q[4];\ncrx(x78) q[9], q[3];\ncrx(x79) q[9], q[2];\ncrx(x71) q[9], q[1];\ncrx(x80) q[9], q[0];\ncrx(x81) q[8], q[10];\ncrx(x73) q[8], q[9];\ncrx(x75) q[8], q[7];\ncrx(x16) q[8], q[6];\ncrx(x76) q[8], q[5];\ncrx(x77) q[8], q[4];\ncrx(x78) q[8], q[3];\ncrx(x79) q[8], q[2];\ncrx(x71) q[8], q[1];\ncrx(x80) q[8], q[0];\ncrx(x81) q[7], q[10];\ncrx(x73) q[7], q[9];\ncrx(x74) q[7], q[8];\ncrx(x16) q[7], q[6];\ncrx(x76) q[7], q[5];\ncrx(x77) q[7], q[4];\ncrx(x78) q[7], q[3];\ncrx(x79) q[7], q[2];\ncrx(x71) q[7], q[1];\ncrx(x80) q[7], q[0];\ncrx(x81) q[6], q[10];\ncrx(x73) q[6], q[9];\ncrx(x74) q[6], q[8];\ncrx(x75) q[6], q[7];\ncrx(x76) q[6], q[5];\ncrx(x77) q[6], q[4];\ncrx(x78) q[6], q[3];\ncrx(x79) q[6], q[2];\ncrx(x71) q[6], q[1];\ncrx(x80) q[6], q[0];\ncrx(x81) q[5], q[10];\ncrx(x73) q[5], q[9];\ncrx(x74) q[5], q[8];\ncrx(x75) q[5], q[7];\ncrx(x16) q[5], q[6];\ncrx(x77) q[5], q[4];\ncrx(x78) q[5], q[3];\ncrx(x79) q[5], q[2];\ncrx(x71) q[5], q[1];\ncrx(x80) q[5], q[0];\ncrx(x81) q[4], q[10];\ncrx(x73) q[4], q[9];\ncrx(x74) q[4], q[8];\ncrx(x75) q[4], q[7];\ncrx(x16) q[4], q[6];\ncrx(x76) q[4], q[5];\ncrx(x78) q[4], q[3];\ncrx(x79) q[4], q[2];\ncrx(x71) q[4], q[1];\ncrx(x80) q[4], q[0];\ncrx(x81) q[3], q[10];\ncrx(x73) q[3], q[9];\ncrx(x74) q[3], q[8];\ncrx(x75) q[3], q[7];\ncrx(x16) q[3], q[6];\ncrx(x76) q[3], q[5];\ncrx(x77) q[3], q[4];\ncrx(x79) q[3], q[2];\ncrx(x71) q[3], q[1];\ncrx(x80) q[3], q[0];\ncrx(x81) q[2], q[10];\ncrx(x73) q[2], q[9];\ncrx(x74) q[2], q[8];\ncrx(x75) q[2], q[7];\ncrx(x16) q[2], q[6];\ncrx(x76) q[2], q[5];\ncrx(x77) q[2], q[4];\ncrx(x78) q[2], q[3];\ncrx(x71) q[2], q[1];\ncrx(x80) q[2], q[0];\ncrx(x81) q[1], q[10];\ncrx(x73) q[1], q[9];\ncrx(x74) q[1], q[8];\ncrx(x75) q[1], q[7];\ncrx(x16) q[1], q[6];\ncrx(x76) q[1], q[5];\ncrx(x77) q[1], q[4];\ncrx(x78) q[1], q[3];\ncrx(x79) q[1], q[2];\ncrx(x80) q[1], q[0];\ncrx(x81) q[0], q[10];\ncrx(x73) q[0], q[9];\ncrx(x74) q[0], q[8];\ncrx(x75) q[0], q[7];\ncrx(x16) q[0], q[6];\ncrx(x76) q[0], q[5];\ncrx(x77) q[0], q[4];\ncrx(x78) q[0], q[3];\ncrx(x79) q[0], q[2];\ncrx(x71) q[0], q[1];\nrx(x82) q[0];\nrz(x83) q[0];\nrx(x84) q[1];\nrz(x71) q[1];\nrx(x85) q[2];\nrz(x86) q[2];\nrx(x87) q[3];\nrz(x88) q[3];\nrx(x89) q[4];\nrz(x90) q[4];\nrx(x89) q[5];\nrz(x51) q[5];\nrx(x87) q[6];\nrz(x71) q[6];\nrx(x91) q[7];\nrz(x92) q[7];\nrx(x93) q[8];\nrz(x92) q[8];\nrx(x94) q[9];\nrz(x76) q[9];\nrx(x95) q[10];\nrz(x96) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["e24c28a1225e0371d997320aeb87abff","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [3310, 2798], \"expectation_value\": -1.516076969497083, \"params\": [[[0.2736, -0.0845, 0.0097, 0.005], [0.4889, 0.10740000000000001, 0.396, 0.1227], [0.1522, 0.2482, 0.027100000000000003, -0.2561], [0.0941, -0.311, 0.4882, -0.2629], [0.2906, 0.035, 0.28400000000000003, 0.27690000000000003], [0.4897, 0.3793, 0.44260000000000005, 0.1071], [0.49260000000000004, -0.201, 0.4878, 0.2702], [0.5065000000000001, 0.2775, 0.5042, -0.020900000000000002], [0.46880000000000005, -0.27340000000000003, 0.3819, 0.0829], [0.4338, 0.3514, 0.48950000000000005, -0.15510000000000002], [0.5042, 0.0071, 0.5078, 0.035300000000000005], [-0.23340000000000002, 0.0533, 0.007200000000000001, 0.001]], [[0.3039, 0.0092, 0.0022, 0.0055000000000000005], [0.0711, -0.18030000000000002, 0.4849, -0.0162], [0.5015000000000001, -0.0162, 0.4475, -0.0506], [0.2594, 0.19640000000000002, 0.4969, 0.021], [0.49560000000000004, 0.0855, 0.501, 0.0562], [0.42060000000000003, 0.3497, 0.2902, 0.33490000000000003], [0.4933, -0.0017000000000000001, 0.21280000000000002, -0.33430000000000004], [0.07970000000000001, 0.4696, 0.5001, 0.3412], [0.5013000000000001, 0.0504, 0.48510000000000003, -0.09720000000000001], [0.5026, -0.3511, 0.496, -0.30920000000000003], [0.5067, 0.2331, 0.5009, 0.33380000000000004], [0.48360000000000003, 0.0044, 0.0037, 0.0083]], [[-0.10070000000000001, -0.2821, 0.0038, 0.0024000000000000002], [0.4919, -0.2872, 0.4038, 0.0073], [0.35350000000000004, -0.027200000000000002, 0.4973, 0.006500000000000001], [0.5036, 0.1516, 0.5069, 0.0061], [0.48800000000000004, -0.1757, 0.4978, 0.008], [0.20040000000000002, 0.4088, 0.2738, 0.0019], [0.2509, -0.3294, 0.4999, 0.0067], [0.5016, -0.1761, 0.5092, 0.0011], [0.43560000000000004, 0.24710000000000001, 0.4899, 0.0016], [0.2151, 0.3326, 0.2959, 0.0086], [0.5022, 0.31, 0.49610000000000004, 0.008], [0.0728, 0.0058000000000000005, 0.0044, 0.007500000000000001]]], \"bitstrings\": [\"001100010001\", \"010100010001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.02211237902678846, 0.03730978415663255], \"optimization_time\": 32.557488441467285}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(0) @ Z(9)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(8)) + 0.0625 * (Z(3) @ Z(9)) + 0.0625 * (Z(6) @ Z(8)) + 0.0625 * (Z(6) @ Z(9)) + 0.0625 * (Z(8) @ Z(9)) + -0.0625 * (Z(6) @ Z(0) @ Z(3)) + -0.0625 * (Z(0) @ Z(3) @ Z(8)) + -0.0625 * (Z(0) @ Z(3) @ Z(9)) + -0.0625 * (Z(6) @ Z(0) @ Z(8)) + -0.0625 * (Z(6) @ Z(0) @ Z(9)) + -0.0625 * (Z(0) @ Z(8) @ Z(9)) + -0.0625 * (Z(6) @ Z(3) @ Z(8)) + -0.0625 * (Z(6) @ Z(3) @ Z(9)) + -0.0625 * (Z(3) @ Z(8) @ Z(9)) + -0.0625 * (Z(6) @ Z(8) @ Z(9)) + 0.0625 * (Z(6) @ Z(0) @ Z(3) @ Z(8)) + 0.0625 * (Z(6) @ Z(0) @ Z(3) @ Z(9)) + 0.0625 * (Z(0) @ Z(3) @ Z(8) @ Z(9)) + 0.0625 * (Z(6) @ Z(0) @ Z(8) @ Z(9)) + 0.0625 * (Z(6) @ Z(3) @ Z(8) @ Z(9)) + -0.0625 * (Z(0) @ Z(6) @ Z(9) @ Z(3) @ Z(8)) + 0.5 * (Z(10) @ Z(11)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(10) @ Z(1)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(8) @ Z(4)) + 0.0625 * (Z(10) @ Z(4)) + 0.0625 * (Z(7) @ Z(8)) + 0.0625 * (Z(10) @ Z(7)) + 0.0625 * (Z(10) @ Z(8)) + -0.0625 * (Z(7) @ Z(1) @ Z(4)) + -0.0625 * (Z(1) @ Z(8) @ Z(4)) + -0.0625 * (Z(10) @ Z(1) @ Z(4)) + -0.0625 * (Z(7) @ Z(8) @ Z(1)) + -0.0625 * (Z(10) @ Z(7) @ Z(1)) + -0.0625 * (Z(10) @ Z(8) @ Z(1)) + -0.0625 * (Z(7) @ Z(8) @ Z(4)) + -0.0625 * (Z(10) @ Z(7) @ Z(4)) + -0.0625 * (Z(10) @ Z(8) @ Z(4)) + -0.0625 * (Z(10) @ Z(7) @ Z(8)) + 0.0625 * (Z(7) @ Z(1) @ Z(8) @ Z(4)) + 0.0625 * (Z(10) @ Z(7) @ Z(1) @ Z(4)) + 0.0625 * (Z(10) @ Z(1) @ Z(8) @ Z(4)) + 0.0625 * (Z(10) @ Z(7) @ Z(8) @ Z(1)) + 0.0625 * (Z(10) @ Z(7) @ Z(8) @ Z(4)) + -0.0625 * (Z(4) @ Z(10) @ Z(1) @ Z(7) @ Z(8)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(11) @ Z(2)) + 0.125 * (Z(5) @ Z(9)) + 0.125 * (Z(5) @ Z(11)) + 0.125 * (Z(11) @ Z(9)) + -0.125 * (Z(5) @ Z(9) @ Z(2)) + -0.125 * (Z(5) @ Z(11) @ Z(2)) + -0.125 * (Z(11) @ Z(9) @ Z(2)) + -0.125 * (Z(5) @ Z(11) @ Z(9)) + 0.125 * (Z(5) @ Z(11) @ Z(9) @ Z(2)) + 0.1875 * Z(0) + 0.1875 * Z(1) + 0.125 * Z(2) + 0.1875 * Z(3) + 0.1875 * Z(4) + 0.125 * Z(5) + -0.0625 * Z(6) + -0.0625 * Z(7) + 0.375 * Z(8) + 0.3125 * Z(9) + -0.0625 * Z(10) + -0.125 * Z(11)",11,12,3,"{\"smallest_eigenvalues\": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], \"number_of_smallest_eigenvalues\": 17, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"010010100001\", \"001100100010\", \"010001100001\", \"010100010001\", \"010001100010\", \"001100010010\", \"001100010001\", \"010100100001\", \"100100010001\", \"001010100010\", \"001010100001\", \"100001010010\", \"100001010001\", \"100010010001\", \"100001100010\", \"001001100010\", \"100010100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.2736) q[0];\nrz(-0.0845) q[0];\nry(0.4889) q[1];\nrz(0.1074) q[1];\nry(0.1522) q[2];\nrz(0.2482) q[2];\nry(0.0941) q[3];\nrz(-0.311) q[3];\nry(0.2906) q[4];\nrz(0.035) q[4];\nry(0.4897) q[5];\nrz(0.3793) q[5];\nry(0.4926) q[6];\nrz(-0.201) q[6];\nry(0.5065) q[7];\nrz(0.2775) q[7];\nry(0.4688) q[8];\nrz(-0.2734) q[8];\nry(0.4338) q[9];\nrz(0.3514) q[9];\nry(0.5042) q[10];\nrz(0.0071) q[10];\nry(-0.2334) q[11];\nrz(0.0533) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(0.396) q[1];\nrz(0.1227) q[1];\nry(0.0271) q[2];\nrz(-0.2561) q[2];\ncx q[2], q[1];\nry(0.4882) q[3];\nrz(-0.2629) q[3];\nry(0.284) q[4];\nrz(0.2769) q[4];\ncx q[4], q[3];\nry(0.4426) q[5];\nrz(0.1071) q[5];\nry(0.4878) q[6];\nrz(0.2702) q[6];\ncx q[6], q[5];\nry(0.5042) q[7];\nrz(-0.0209) q[7];\nry(0.3819) q[8];\nrz(0.0829) q[8];\ncx q[8], q[7];\nry(0.4895) q[9];\nrz(-0.1551) q[9];\nry(0.5078) q[10];\nrz(0.0353) q[10];\ncx q[10], q[9];\nry(0.3039) q[0];\nrz(0.0092) q[0];\nry(0.0711) q[1];\nrz(-0.1803) q[1];\nry(0.5015) q[2];\nrz(-0.0162) q[2];\nry(0.2594) q[3];\nrz(0.1964) q[3];\nry(0.4956) q[4];\nrz(0.0855) q[4];\nry(0.4206) q[5];\nrz(0.3497) q[5];\nry(0.4933) q[6];\nrz(-0.0017) q[6];\nry(0.0797) q[7];\nrz(0.4696) q[7];\nry(0.5013) q[8];\nrz(0.0504) q[8];\nry(0.5026) q[9];\nrz(-0.3511) q[9];\nry(0.5067) q[10];\nrz(0.2331) q[10];\nry(0.4836) q[11];\nrz(0.0044) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(0.4849) q[1];\nrz(-0.0162) q[1];\nry(0.4475) q[2];\nrz(-0.0506) q[2];\ncx q[2], q[1];\nry(0.4969) q[3];\nrz(0.021) q[3];\nry(0.501) q[4];\nrz(0.0562) q[4];\ncx q[4], q[3];\nry(0.2902) q[5];\nrz(0.3349) q[5];\nry(0.2128) q[6];\nrz(-0.3343) q[6];\ncx q[6], q[5];\nry(0.5001) q[7];\nrz(0.3412) q[7];\nry(0.4851) q[8];\nrz(-0.0972) q[8];\ncx q[8], q[7];\nry(0.496) q[9];\nrz(-0.3092) q[9];\nry(0.5009) q[10];\nrz(0.3338) q[10];\ncx q[10], q[9];\nry(-0.1007) q[0];\nrz(-0.2821) q[0];\nry(0.4919) q[1];\nrz(-0.2872) q[1];\nry(0.3535) q[2];\nrz(-0.0272) q[2];\nry(0.5036) q[3];\nrz(0.1516) q[3];\nry(0.488) q[4];\nrz(-0.1757) q[4];\nry(0.2004) q[5];\nrz(0.4088) q[5];\nry(0.2509) q[6];\nrz(-0.3294) q[6];\nry(0.5016) q[7];\nrz(-0.1761) q[7];\nry(0.4356) q[8];\nrz(0.2471) q[8];\nry(0.2151) q[9];\nrz(0.3326) q[9];\nry(0.5022) q[10];\nrz(0.31) q[10];\nry(0.0728) q[11];\nrz(0.0058) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(0.4038) q[1];\nrz(0.0073) q[1];\nry(0.4973) q[2];\nrz(0.0065) q[2];\ncx q[2], q[1];\nry(0.5069) q[3];\nrz(0.0061) q[3];\nry(0.4978) q[4];\nrz(0.008) q[4];\ncx q[4], q[3];\nry(0.2738) q[5];\nrz(0.0019) q[5];\nry(0.4999) q[6];\nrz(0.0067) q[6];\ncx q[6], q[5];\nry(0.5092) q[7];\nrz(0.0011) q[7];\nry(0.4899) q[8];\nrz(0.0016) q[8];\ncx q[8], q[7];\nry(0.2959) q[9];\nrz(0.0086) q[9];\nry(0.4961) q[10];\nrz(0.008) q[10];\ncx q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x18) q[9];\nrz(x19) q[9];\nry(x20) q[10];\nrz(x21) q[10];\nry(x22) q[11];\nrz(x23) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x24) q[1];\nrz(x25) q[1];\nry(x26) q[2];\nrz(x27) q[2];\ncx q[2], q[1];\nry(x28) q[3];\nrz(x29) q[3];\nry(x30) q[4];\nrz(x31) q[4];\ncx q[4], q[3];\nry(x32) q[5];\nrz(x33) q[5];\nry(x34) q[6];\nrz(x35) q[6];\ncx q[6], q[5];\nry(x20) q[7];\nrz(x36) q[7];\nry(x37) q[8];\nrz(x38) q[8];\ncx q[8], q[7];\nry(x39) q[9];\nrz(x40) q[9];\nry(x41) q[10];\nrz(x42) q[10];\ncx q[10], q[9];\nry(x43) q[0];\nrz(x44) q[0];\nry(x45) q[1];\nrz(x46) q[1];\nry(x47) q[2];\nrz(x48) q[2];\nry(x49) q[3];\nrz(x50) q[3];\nry(x51) q[4];\nrz(x52) q[4];\nry(x53) q[5];\nrz(x54) q[5];\nry(x55) q[6];\nrz(x56) q[6];\nry(x57) q[7];\nrz(x58) q[7];\nry(x59) q[8];\nrz(x60) q[8];\nry(x61) q[9];\nrz(x62) q[9];\nry(x63) q[10];\nrz(x64) q[10];\nry(x65) q[11];\nrz(x66) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x67) q[1];\nrz(x48) q[1];\nry(x68) q[2];\nrz(x69) q[2];\ncx q[2], q[1];\nry(x70) q[3];\nrz(x71) q[3];\nry(x72) q[4];\nrz(x73) q[4];\ncx q[4], q[3];\nry(x74) q[5];\nrz(x75) q[5];\nry(x76) q[6];\nrz(x77) q[6];\ncx q[6], q[5];\nry(x78) q[7];\nrz(x79) q[7];\nry(x80) q[8];\nrz(x81) q[8];\ncx q[8], q[7];\nry(x82) q[9];\nrz(x83) q[9];\nry(x84) q[10];\nrz(x85) q[10];\ncx q[10], q[9];\nry(x86) q[0];\nrz(x87) q[0];\nry(x88) q[1];\nrz(x89) q[1];\nry(x90) q[2];\nrz(x91) q[2];\nry(x92) q[3];\nrz(x93) q[3];\nry(x94) q[4];\nrz(x95) q[4];\nry(x96) q[5];\nrz(x97) q[5];\nry(x98) q[6];\nrz(x99) q[6];\nry(x100) q[7];\nrz(x101) q[7];\nry(x102) q[8];\nrz(x103) q[8];\nry(x104) q[9];\nrz(x105) q[9];\nry(x106) q[10];\nrz(x107) q[10];\nry(x108) q[11];\nrz(x109) q[11];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\ncx q[11], q[10];\nry(x110) q[1];\nrz(x111) q[1];\nry(x112) q[2];\nrz(x113) q[2];\ncx q[2], q[1];\nry(x114) q[3];\nrz(x115) q[3];\nry(x116) q[4];\nrz(x117) q[4];\ncx q[4], q[3];\nry(x118) q[5];\nrz(x119) q[5];\nry(x120) q[6];\nrz(x121) q[6];\ncx q[6], q[5];\nry(x122) q[7];\nrz(x123) q[7];\nry(x124) q[8];\nrz(x125) q[8];\ncx q[8], q[7];\nry(x126) q[9];\nrz(x127) q[9];\nry(x128) q[10];\nrz(x117) q[10];\ncx q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["b0feb3aae3343307d568064fd81cd991","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [696, 697], \"expectation_value\": -2.683634222120501, \"params\": [[[0.5468000000000001, -0.1504, 0.0097, 0.0049], [0.111, 0.36160000000000003, 1.1006, -0.1293], [0.1439, 0.1062, -0.0086, 0.0511], [0.184, -0.07740000000000001, 0.1436, 0.11030000000000001], [0.0028, -0.0522, -0.001, -0.1247], [0.004200000000000001, -0.19210000000000002, -0.24400000000000002, 0.1233], [-0.19340000000000002, 0.1351, 0.2528, -0.0888], [-0.1165, -0.4748, 1.0165, 0.0027], [0.0198, -0.29350000000000004, 0.0219, -0.09240000000000001], [1.0114, -0.1033, 0.0034000000000000002, 0.009300000000000001]], [[0.262, 0.0729, 0.0045000000000000005, 0.0089], [0.49200000000000005, -0.0106, 0.5492, 0.038200000000000005], [0.806, -0.0252, -0.8946000000000001, -0.23140000000000002], [0.07100000000000001, 0.0342, 1.2581, -0.0229], [1.2442, -0.0035, -0.8587, 0.0386], [-0.5464, 0.056600000000000004, 0.44370000000000004, -0.2215], [0.5946, 0.6448, 1.1478000000000002, -0.5301], [1.3571, -0.0005, -0.2716, 0.001], [0.006500000000000001, 0.133, -0.0176, 0.3962], [0.0176, 0.0704, 0.0017000000000000001, 0.0044]], [[0.15560000000000002, 0.0472, 0.0098, 0.006200000000000001], [-0.4591, 0.27140000000000003, -0.20040000000000002, -0.2376], [1.2433, -0.057, 0.1967, 0.2152], [-0.5454, -0.2369, 0.6506000000000001, 0.19890000000000002], [1.133, -0.031400000000000004, 1.3083, 0.3326], [1.254, -0.0179, 0.1539, 0.0164], [1.0708, 0.0648, -0.3748, 0.21730000000000002], [0.3382, 0.2828, 1.0607, -0.0609], [-0.0054, 0.37070000000000003, 0.0001, 0.2982], [0.7828, 0.5925, 0.0041, 0.0011]], [[-0.7935, 0.6187, 0.0, 0.0078000000000000005], [1.3682, 0.7557, -0.042100000000000005, 0.0088], [-0.158, -0.1869, 0.6211, 0.007200000000000001], [0.6235, -0.005200000000000001, 0.9971000000000001, 0.0086], [0.07060000000000001, -0.7417, -0.027100000000000003, 0.0083], [0.7871, 0.0468, 0.0211, 0.0036000000000000003], [0.684, -0.1562, 1.198, 0.0048000000000000004], [1.0090000000000001, -0.3094, 0.1393, 0.0015], [-0.0073, 0.0656, -0.0033, 0.0041], [-0.0091, 0.0081, 0.0079, 0.0064]]], \"bitstrings\": [\"0101000111\", \"0101000110\"], \"total_optimization_steps\": 150, \"probabilities\": [0.37001749381791016, 0.5043230680983003], \"optimization_time\": 34.059948205947876}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(1) @ Z(6)) + -0.125 * (Z(5) @ Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(1) @ Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.25 * (Z(4) @ Z(8)) + 0.25 * (Z(4) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(4) @ Z(8) @ Z(9)) + 0.0 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + 0.125 * Z(3) + 0.0 * Z(4) + 0.125 * Z(5) + -0.125 * Z(6) + -0.25 * Z(7) + -0.25 * Z(8) + -0.25 * Z(9)",11,10,4,"{\"smallest_eigenvalues\": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], \"number_of_smallest_eigenvalues\": 17, \"first_excited_energy\": -2.125, \"smallest_bitstrings\": [\"0010101100\", \"0010101001\", \"0101000110\", \"0100101100\", \"0100100110\", \"1100000110\", \"0011000011\", \"1000010011\", \"1000001110\", \"1000001101\", \"0011001001\", \"0011000110\", \"1000011001\", \"1000010110\", \"1000101100\", \"1010001001\", \"1001000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.5468) q[0];\nrz(-0.1504) q[0];\nry(0.111) q[1];\nrz(0.3616) q[1];\nry(0.1439) q[2];\nrz(0.1062) q[2];\nry(0.184) q[3];\nrz(-0.0774) q[3];\nry(0.0028) q[4];\nrz(-0.0522) q[4];\nry(0.0042) q[5];\nrz(-0.1921) q[5];\nry(-0.1934) q[6];\nrz(0.1351) q[6];\nry(-0.1165) q[7];\nrz(-0.4748) q[7];\nry(0.0198) q[8];\nrz(-0.2935) q[8];\nry(1.0114) q[9];\nrz(-0.1033) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(1.1006) q[1];\nrz(-0.1293) q[1];\nry(-0.0086) q[2];\nrz(0.0511) q[2];\ncx q[2], q[1];\nry(0.1436) q[3];\nrz(0.1103) q[3];\nry(-0.001) q[4];\nrz(-0.1247) q[4];\ncx q[4], q[3];\nry(-0.244) q[5];\nrz(0.1233) q[5];\nry(0.2528) q[6];\nrz(-0.0888) q[6];\ncx q[6], q[5];\nry(1.0165) q[7];\nrz(0.0027) q[7];\nry(0.0219) q[8];\nrz(-0.0924) q[8];\ncx q[8], q[7];\nry(0.262) q[0];\nrz(0.0729) q[0];\nry(0.492) q[1];\nrz(-0.0106) q[1];\nry(0.806) q[2];\nrz(-0.0252) q[2];\nry(0.071) q[3];\nrz(0.0342) q[3];\nry(1.2442) q[4];\nrz(-0.0035) q[4];\nry(-0.5464) q[5];\nrz(0.0566) q[5];\nry(0.5946) q[6];\nrz(0.6448) q[6];\nry(1.3571) q[7];\nrz(-0.0005) q[7];\nry(0.0065) q[8];\nrz(0.133) q[8];\nry(0.0176) q[9];\nrz(0.0704) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(0.5492) q[1];\nrz(0.0382) q[1];\nry(-0.8946) q[2];\nrz(-0.2314) q[2];\ncx q[2], q[1];\nry(1.2581) q[3];\nrz(-0.0229) q[3];\nry(-0.8587) q[4];\nrz(0.0386) q[4];\ncx q[4], q[3];\nry(0.4437) q[5];\nrz(-0.2215) q[5];\nry(1.1478) q[6];\nrz(-0.5301) q[6];\ncx q[6], q[5];\nry(-0.2716) q[7];\nrz(0.001) q[7];\nry(-0.0176) q[8];\nrz(0.3962) q[8];\ncx q[8], q[7];\nry(0.1556) q[0];\nrz(0.0472) q[0];\nry(-0.4591) q[1];\nrz(0.2714) q[1];\nry(1.2433) q[2];\nrz(-0.057) q[2];\nry(-0.5454) q[3];\nrz(-0.2369) q[3];\nry(1.133) q[4];\nrz(-0.0314) q[4];\nry(1.254) q[5];\nrz(-0.0179) q[5];\nry(1.0708) q[6];\nrz(0.0648) q[6];\nry(0.3382) q[7];\nrz(0.2828) q[7];\nry(-0.0054) q[8];\nrz(0.3707) q[8];\nry(0.7828) q[9];\nrz(0.5925) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(-0.2004) q[1];\nrz(-0.2376) q[1];\nry(0.1967) q[2];\nrz(0.2152) q[2];\ncx q[2], q[1];\nry(0.6506) q[3];\nrz(0.1989) q[3];\nry(1.3083) q[4];\nrz(0.3326) q[4];\ncx q[4], q[3];\nry(0.1539) q[5];\nrz(0.0164) q[5];\nry(-0.3748) q[6];\nrz(0.2173) q[6];\ncx q[6], q[5];\nry(1.0607) q[7];\nrz(-0.0609) q[7];\nry(0.0001) q[8];\nrz(0.2982) q[8];\ncx q[8], q[7];\nry(-0.7935) q[0];\nrz(0.6187) q[0];\nry(1.3682) q[1];\nrz(0.7557) q[1];\nry(-0.158) q[2];\nrz(-0.1869) q[2];\nry(0.6235) q[3];\nrz(-0.0052) q[3];\nry(0.0706) q[4];\nrz(-0.7417) q[4];\nry(0.7871) q[5];\nrz(0.0468) q[5];\nry(0.684) q[6];\nrz(-0.1562) q[6];\nry(1.009) q[7];\nrz(-0.3094) q[7];\nry(-0.0073) q[8];\nrz(0.0656) q[8];\nry(-0.0091) q[9];\nrz(0.0081) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(-0.0421) q[1];\nrz(0.0088) q[1];\nry(0.6211) q[2];\nrz(0.0072) q[2];\ncx q[2], q[1];\nry(0.9971) q[3];\nrz(0.0086) q[3];\nry(-0.0271) q[4];\nrz(0.0083) q[4];\ncx q[4], q[3];\nry(0.0211) q[5];\nrz(0.0036) q[5];\nry(1.198) q[6];\nrz(0.0048) q[6];\ncx q[6], q[5];\nry(0.1393) q[7];\nrz(0.0015) q[7];\nry(-0.0033) q[8];\nrz(0.0041) q[8];\ncx q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x18) q[9];\nrz(x19) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(x20) q[1];\nrz(x21) q[1];\nry(x22) q[2];\nrz(x23) q[2];\ncx q[2], q[1];\nry(x24) q[3];\nrz(x25) q[3];\nry(x26) q[4];\nrz(x27) q[4];\ncx q[4], q[3];\nry(x28) q[5];\nrz(x29) q[5];\nry(x30) q[6];\nrz(x31) q[6];\ncx q[6], q[5];\nry(x32) q[7];\nrz(x33) q[7];\nry(x34) q[8];\nrz(x35) q[8];\ncx q[8], q[7];\nry(x36) q[0];\nrz(x37) q[0];\nry(x38) q[1];\nrz(x39) q[1];\nry(x40) q[2];\nrz(x41) q[2];\nry(x42) q[3];\nrz(x43) q[3];\nry(x44) q[4];\nrz(x45) q[4];\nry(x46) q[5];\nrz(x47) q[5];\nry(x48) q[6];\nrz(x49) q[6];\nry(x50) q[7];\nrz(x51) q[7];\nry(x52) q[8];\nrz(x53) q[8];\nry(x54) q[9];\nrz(x55) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(x56) q[1];\nrz(x57) q[1];\nry(x58) q[2];\nrz(x59) q[2];\ncx q[2], q[1];\nry(x60) q[3];\nrz(x61) q[3];\nry(x62) q[4];\nrz(x63) q[4];\ncx q[4], q[3];\nry(x64) q[5];\nrz(x65) q[5];\nry(x66) q[6];\nrz(x67) q[6];\ncx q[6], q[5];\nry(x68) q[7];\nrz(x69) q[7];\nry(x70) q[8];\nrz(x71) q[8];\ncx q[8], q[7];\nry(x72) q[0];\nrz(x73) q[0];\nry(x74) q[1];\nrz(x75) q[1];\nry(x76) q[2];\nrz(x77) q[2];\nry(x78) q[3];\nrz(x79) q[3];\nry(x80) q[4];\nrz(x81) q[4];\nry(x82) q[5];\nrz(x83) q[5];\nry(x84) q[6];\nrz(x85) q[6];\nry(x86) q[7];\nrz(x87) q[7];\nry(x88) q[8];\nrz(x89) q[8];\nry(x90) q[9];\nrz(x91) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(x92) q[1];\nrz(x93) q[1];\nry(x94) q[2];\nrz(x95) q[2];\ncx q[2], q[1];\nry(x96) q[3];\nrz(x97) q[3];\nry(x98) q[4];\nrz(x99) q[4];\ncx q[4], q[3];\nry(x100) q[5];\nrz(x101) q[5];\nry(x102) q[6];\nrz(x103) q[6];\ncx q[6], q[5];\nry(x104) q[7];\nrz(x105) q[7];\nry(x106) q[8];\nrz(x107) q[8];\ncx q[8], q[7];\nry(x108) q[0];\nrz(x109) q[0];\nry(x110) q[1];\nrz(x111) q[1];\nry(x112) q[2];\nrz(x113) q[2];\nry(x114) q[3];\nrz(x115) q[3];\nry(x116) q[4];\nrz(x117) q[4];\nry(x118) q[5];\nrz(x119) q[5];\nry(x120) q[6];\nrz(x121) q[6];\nry(x122) q[7];\nrz(x123) q[7];\nry(x124) q[8];\nrz(x125) q[8];\nry(x126) q[9];\nrz(x127) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(x128) q[1];\nrz(x129) q[1];\nry(x130) q[2];\nrz(x131) q[2];\ncx q[2], q[1];\nry(x132) q[3];\nrz(x133) q[3];\nry(x134) q[4];\nrz(x135) q[4];\ncx q[4], q[3];\nry(x136) q[5];\nrz(x137) q[5];\nry(x138) q[6];\nrz(x139) q[6];\ncx q[6], q[5];\nry(x140) q[7];\nrz(x141) q[7];\nry(x142) q[8];\nrz(x143) q[8];\ncx q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["d2e3f71e5c020057da0dd1812bdf6517","graph_coloring","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}]}","{\"states\": [48765, 56190], \"expectation_value\": -6.0010542464481285, \"params\": [[-0.1776], [0.17950000000000002]], \"bitstrings\": [\"0100000110000010\", \"0010010010000001\"], \"total_optimization_steps\": 20, \"probabilities\": [8.65523827710716e-05, 8.65523827710716e-05], \"optimization_time\": 20.629294633865356}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(8) @ Z(4)) + 0.25 * (Z(9) @ Z(1)) + 0.25 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.25 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(4)) + 0.25 * (Z(12) @ Z(8)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(5)) + 0.25 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(6)) + 0.25 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 0.25 * (Z(15) @ Z(3)) + 0.25 * (Z(15) @ Z(7)) + 0.25 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(12)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(15) @ Z(14)) + 1.75 * Z(1) + 1.75 * Z(0) + 1.75 * Z(2) + 1.75 * Z(3) + 1.75 * Z(4) + 1.75 * Z(5) + 1.75 * Z(6) + 1.75 * Z(7) + 1.75 * Z(8) + 1.75 * Z(9) + 1.75 * Z(10) + 1.75 * Z(11) + 1.75 * Z(12) + 1.75 * Z(13) + 1.75 * Z(14) + 1.75 * Z(15)",1,16,1,"{\"smallest_eigenvalues\": [-13.999999999999956], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.999999999999917, \"smallest_bitstrings\": [\"0010010010000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(-0.1776) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1776) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1776) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1776) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1776) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1776) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.0888) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0888) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.1776) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.0888) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.1776) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.1776) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.0888) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.1776) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.1776) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.1776) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(-0.0888) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(-0.0888) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(-0.0888) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(-0.0888) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(-0.1776) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(-0.0888) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(-0.0888) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(-0.1776) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(-0.1776) q[10];\ncx q[9], q[10];\ncx q[3], q[11];\nrz(-0.0888) q[11];\ncx q[3], q[11];\ncx q[7], q[11];\nrz(-0.0888) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(-0.1776) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(-0.1776) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(-0.1776) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(-0.0888) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(-0.0888) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(-0.0888) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(-0.0888) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(-0.0888) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(-0.0888) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(-0.1776) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(-0.0888) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(-0.0888) q[14];\ncx q[6], q[14];\ncx q[10], q[14];\nrz(-0.0888) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(-0.1776) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(-0.1776) q[14];\ncx q[13], q[14];\ncx q[3], q[15];\nrz(-0.0888) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(-0.0888) q[15];\ncx q[7], q[15];\ncx q[11], q[15];\nrz(-0.0888) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(-0.1776) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(-0.1776) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(-0.1776) q[15];\ncx q[14], q[15];\nrz(-0.6216) q[1];\nrz(-0.6216) q[0];\nrz(-0.6216) q[2];\nrz(-0.6216) q[3];\nrz(-0.6216) q[4];\nrz(-0.6216) q[5];\nrz(-0.6216) q[6];\nrz(-0.6216) q[7];\nrz(-0.6216) q[8];\nrz(-0.6216) q[9];\nrz(-0.6216) q[10];\nrz(-0.6216) q[11];\nrz(-0.6216) q[12];\nrz(-0.6216) q[13];\nrz(-0.6216) q[14];\nrz(-0.6216) q[15];\nh q[0];\nrz(0.359) q[0];\nh q[0];\nh q[1];\nrz(0.359) q[1];\nh q[1];\nh q[2];\nrz(0.359) q[2];\nh q[2];\nh q[3];\nrz(0.359) q[3];\nh q[3];\nh q[4];\nrz(0.359) q[4];\nh q[4];\nh q[5];\nrz(0.359) q[5];\nh q[5];\nh q[6];\nrz(0.359) q[6];\nh q[6];\nh q[7];\nrz(0.359) q[7];\nh q[7];\nh q[8];\nrz(0.359) q[8];\nh q[8];\nh q[9];\nrz(0.359) q[9];\nh q[9];\nh q[10];\nrz(0.359) q[10];\nh q[10];\nh q[11];\nrz(0.359) q[11];\nh q[11];\nh q[12];\nrz(0.359) q[12];\nh q[12];\nh q[13];\nrz(0.359) q[13];\nh q[13];\nh q[14];\nrz(0.359) q[14];\nh q[14];\nh q[15];\nrz(0.359) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x1) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x1) q[8];\ncx q[4], q[8];\ncx q[1], q[9];\nrz(x1) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(x1) q[9];\ncx q[5], q[9];\ncx q[8], q[9];\nrz(x0) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(x1) q[10];\ncx q[2], q[10];\ncx q[6], q[10];\nrz(x1) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x0) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x0) q[10];\ncx q[9], q[10];\ncx q[3], q[11];\nrz(x1) q[11];\ncx q[3], q[11];\ncx q[7], q[11];\nrz(x1) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x0) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x0) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x1) q[12];\ncx q[0], q[12];\ncx q[4], q[12];\nrz(x1) q[12];\ncx q[4], q[12];\ncx q[8], q[12];\nrz(x1) q[12];\ncx q[8], q[12];\ncx q[1], q[13];\nrz(x1) q[13];\ncx q[1], q[13];\ncx q[5], q[13];\nrz(x1) q[13];\ncx q[5], q[13];\ncx q[9], q[13];\nrz(x1) q[13];\ncx q[9], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[2], q[14];\nrz(x1) q[14];\ncx q[2], q[14];\ncx q[6], q[14];\nrz(x1) q[14];\ncx q[6], q[14];\ncx q[10], q[14];\nrz(x1) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x0) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x0) q[14];\ncx q[13], q[14];\ncx q[3], q[15];\nrz(x1) q[15];\ncx q[3], q[15];\ncx q[7], q[15];\nrz(x1) q[15];\ncx q[7], q[15];\ncx q[11], q[15];\nrz(x1) q[15];\ncx q[11], q[15];\ncx q[12], q[15];\nrz(x0) q[15];\ncx q[12], q[15];\ncx q[13], q[15];\nrz(x0) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x0) q[15];\ncx q[14], q[15];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x2) q[4];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x2) q[8];\nrz(x2) q[9];\nrz(x2) q[10];\nrz(x2) q[11];\nrz(x2) q[12];\nrz(x2) q[13];\nrz(x2) q[14];\nrz(x2) q[15];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nh q[7];\nrz(x3) q[7];\nh q[7];\nh q[8];\nrz(x3) q[8];\nh q[8];\nh q[9];\nrz(x3) q[9];\nh q[9];\nh q[10];\nrz(x3) q[10];\nh q[10];\nh q[11];\nrz(x3) q[11];\nh q[11];\nh q[12];\nrz(x3) q[12];\nh q[12];\nh q[13];\nrz(x3) q[13];\nh q[13];\nh q[14];\nrz(x3) q[14];\nh q[14];\nh q[15];\nrz(x3) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"number_of_colors\": 4}","{\"circuits\": [], \"gradients\": []}"]
["c5d57071b024d109c38c43678d62eaf1","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}]}","{\"states\": [0, 1], \"expectation_value\": -5.7499999999705125, \"params\": null, \"bitstrings\": [\"111\", \"110\"], \"total_optimization_steps\": 7, \"probabilities\": [4.65539676913598e-12, 0.9999999999950338], \"optimization_time\": 1.8497231006622314}","-1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2)",1,3,2,"{\"smallest_eigenvalues\": [-5.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -0.75, \"smallest_bitstrings\": [\"110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nry(-1.5708) q[0];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];",null,"{\"source\": 0, \"sink\": 2}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[3] c;\\nqubit[3] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nry(1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[3] c;\\nqubit[3] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nry(1.5708) q[2];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[3] c;\\nqubit[3] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nry(1.5708) q[2];\\nry(-1.5708) q[0];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[3] c;\\nqubit[3] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nry(1.5708) q[2];\\nry(-1.5708) q[0];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[3] c;\\nqubit[3] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nry(1.5708) q[2];\\nry(-1.5708) q[0];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[3] c;\\nqubit[3] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nry(1.5708) q[2];\\nry(-1.5708) q[0];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[3] c;\\nqubit[3] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nry(1.5708) q[2];\\nry(-1.5708) q[0];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\n\"], \"gradients\": [1.4963, 1.7475, 2.5, 0.006, 0.005, 0.003, 0.003]}"]
["8197999484372226377","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 3, 7], [1, 4, 6], [0, 2, 4], [4, 5]]}","{\"states\": [246, 231], \"expectation_value\": -0.5105022212148851, \"params\": [[0.38170000000000004], [-0.38520000000000004]], \"bitstrings\": [\"00001001\", \"00011000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.009740022690359569, 0.009740022690359574], \"optimization_time\": 2.085573196411133}","0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * Z(3) + 0.3333333333333333 * Z(0) + 0.16666666666666666 * Z(7) + 0.33333333333333326 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(6) + 0.16666666666666666 * Z(2) + 0.0 * Z(5)",1,8,1,"{\"smallest_eigenvalues\": [-1.5000000000000004], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.5000000000000002, \"smallest_bitstrings\": [\"00011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(0.1272) q[0];\ncx q[3], q[0];\ncx q[3], q[7];\nrz(0.1272) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(0.1272) q[7];\ncx q[0], q[7];\ncx q[0], q[4];\nrz(0.1272) q[4];\ncx q[0], q[4];\ncx q[4], q[1];\nrz(0.1272) q[1];\ncx q[4], q[1];\ncx q[4], q[6];\nrz(0.1272) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(0.1272) q[6];\ncx q[1], q[6];\ncx q[0], q[2];\nrz(0.1272) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(0.1272) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(0.3817) q[5];\ncx q[4], q[5];\nrz(0.1272) q[3];\nrz(0.2545) q[0];\nrz(0.1272) q[7];\nrz(0.2545) q[4];\nrz(0.1272) q[1];\nrz(0.1272) q[6];\nrz(0.1272) q[2];\nrz(0) q[5];\nh q[0];\nrz(-0.7704) q[0];\nh q[0];\nh q[1];\nrz(-0.7704) q[1];\nh q[1];\nh q[2];\nrz(-0.7704) q[2];\nh q[2];\nh q[3];\nrz(-0.7704) q[3];\nh q[3];\nh q[4];\nrz(-0.7704) q[4];\nh q[4];\nh q[5];\nrz(-0.7704) q[5];\nh q[5];\nh q[6];\nrz(-0.7704) q[6];\nh q[6];\nh q[7];\nrz(-0.7704) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(x0) q[7];\ncx q[0], q[7];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\nrz(x0) q[3];\nrz(x2) q[0];\nrz(x0) q[7];\nrz(x2) q[4];\nrz(x0) q[1];\nrz(x0) q[6];\nrz(x0) q[2];\nrz(x3) q[5];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["aa017fe03799a772a3aff0770f4d70b4","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 4, \"source\": 5, \"target\": 6}]}","{\"states\": [1, 9], \"expectation_value\": -2.7538598154628326, \"params\": [[[0.0017000000000000001, 0.4309], [0.0025, 0.5555], [0.0023, 0.6021000000000001], [0.7866000000000001, -0.0017000000000000001], [0.0022, 0.5928], [0.0028, 0.5821000000000001], [0.7943, 0.0018000000000000002]], [[0.0012000000000000001, 0.0094], [0.0025, 0.0019], [0.0023, 0.0011], [0.7892, 0.0098], [0.0022, 0.005200000000000001], [0.0028, 0.0077], [0.7871, 0.0097]]], \"bitstrings\": [\"1111110\", \"1110110\"], \"total_optimization_steps\": 80, \"probabilities\": [0.2514057011624256, 0.25390371451045596], \"optimization_time\": 2.559239149093628}","-1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4)",1,7,2,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 9, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"1000100\", \"1000000\", \"1010100\", \"1010000\", \"1100100\", \"1100000\", \"1110110\", \"1110100\", \"1110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0017) q[0];\nrz(0.4309) q[0];\nrx(0.0025) q[1];\nrz(0.5555) q[1];\nrx(0.0023) q[2];\nrz(0.6021) q[2];\nrx(0.7866) q[3];\nrz(-0.0017) q[3];\nrx(0.0022) q[4];\nrz(0.5928) q[4];\nrx(0.0028) q[5];\nrz(0.5821) q[5];\nrx(0.7943) q[6];\nrz(0.0018) q[6];\nrx(0.0012) q[0];\nrz(0.0094) q[0];\nrx(0.0025) q[1];\nrz(0.0019) q[1];\nrx(0.0023) q[2];\nrz(0.0011) q[2];\nrx(0.7892) q[3];\nrz(0.0098) q[3];\nrx(0.0022) q[4];\nrz(0.0052) q[4];\nrx(0.0028) q[5];\nrz(0.0077) q[5];\nrx(0.7871) q[6];\nrz(0.0097) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[0];\nrz(x15) q[0];\nrx(x2) q[1];\nrz(x16) q[1];\nrx(x4) q[2];\nrz(x17) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\nrx(x8) q[4];\nrz(x20) q[4];\nrx(x10) q[5];\nrz(x21) q[5];\nrx(x22) q[6];\nrz(x23) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["1488d8cf8514de14dc21aa1b6b5c22ab","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 3, \"source\": 0, \"target\": 10}, {\"capacity\": 2, \"source\": 1, \"target\": 10}, {\"capacity\": 3, \"source\": 1, \"target\": 11}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 8}, {\"capacity\": 1, \"source\": 4, \"target\": 11}, {\"capacity\": 3, \"source\": 5, \"target\": 4}, {\"capacity\": 3, \"source\": 6, \"target\": 10}, {\"capacity\": 3, \"source\": 7, \"target\": 6}, {\"capacity\": 2, \"source\": 7, \"target\": 10}, {\"capacity\": 3, \"source\": 7, \"target\": 11}, {\"capacity\": 1, \"source\": 8, \"target\": 7}, {\"capacity\": 2, \"source\": 8, \"target\": 10}, {\"capacity\": 2, \"source\": 9, \"target\": 2}, {\"capacity\": 2, \"source\": 9, \"target\": 5}, {\"capacity\": 3, \"source\": 10, \"target\": 2}, {\"capacity\": 3, \"source\": 10, \"target\": 4}, {\"capacity\": 2, \"source\": 10, \"target\": 6}, {\"capacity\": 2, \"source\": 10, \"target\": 9}]}","{\"states\": [1280, 1284], \"expectation_value\": -12.60820691555069, \"params\": [-0.0015, 0.0014, 0.17, 0.2094, 0.0016, 0.0039000000000000003, 0.3921, 0.3876, -0.0022, 0.006900000000000001, -0.0001, 0.006500000000000001, 0.004, -0.0002, 0.0055000000000000005, -0.0033, 0.0015, -0.0007, -0.2306, -0.23120000000000002, 0.0097, 0.0027, 0.0022, 0.0036000000000000003, -0.006200000000000001, -0.0103, 0.3108, 0.39590000000000003, 0.0006000000000000001, 0.0071, 0.3879, 0.3886, -0.0013000000000000002, 0.0059, -0.002, 0.0064, 0.0023, 0.0031000000000000003, 0.0044, 0.0045000000000000005, 0.0053, -0.0006000000000000001, -0.22890000000000002, -0.227, 0.0043, 0.0035, 0.001, 0.0036000000000000003, -0.0081, -0.0077, 0.46080000000000004, 0.5175000000000001, 0.005200000000000001, -0.0009000000000000001, 0.394, 0.399, 0.0039000000000000003, 0.0004, -0.0031000000000000003, 0.0046, 0.0005, 0.0077, 0.003, -0.0004, -0.0015, 0.007500000000000001, -0.22990000000000002, -0.22990000000000002, 0.0028, 0.0048000000000000004, -0.0005, 0.00030000000000000003, 0.007200000000000001, 0.002, 0.5257000000000001, 0.5242, -0.00030000000000000003, 0.007, 0.3997, 0.3962, 0.0046, -0.0002, 0.0012000000000000001, 0.0033, 0.0023, 0.0014, 0.0033, 0.0008, 0.003, 0.0017000000000000001, -0.2305, -0.2295, 0.0071, 0.0049, 0.006500000000000001, 0.0029000000000000002, 0.3558, 0.7299, 0.24530000000000002, 0.0589, 0.0119, 0.2924, 0.731, 0.0017000000000000001, 0.005200000000000001, 0.7446, 0.5656, -0.0095, 0.27090000000000003, 0.7419, 0.5920000000000001, 0.1893, -0.4839, 0.7130000000000001, 0.6241, -0.6086, 0.35910000000000003, 0.7431, 0.5616, 0.1557, 0.2666, 0.5046, 0.35960000000000003, -0.0611, 0.0008, 0.337, 0.746, 0.0007, -0.0015, 0.7384000000000001, 0.7366, 0.0, -0.09770000000000001, 0.7561, 0.7389, -0.025, -0.5650000000000001, 0.743, 0.7371000000000001, -0.2622, 0.19920000000000002, 0.7474000000000001, 0.7702, 0.0896, 0.0658, 0.2747, 0.2641, -0.0424, 0.0068000000000000005, 0.0543, 0.7029000000000001, 0.0022, 0.0016, 0.7443000000000001, 0.7537, -0.0077, 0.0257, 0.7409, 0.7484000000000001, -0.0171, 0.2291, 0.7443000000000001, 0.7521, 0.4466, 0.07100000000000001, 0.7618, 0.4183, 0.0838, -0.057, -0.6139, 0.1015, 0.1869, 0.0021000000000000003, 0.1282, 0.5104000000000001, 0.0011, -0.0038, -0.3219, 0.76, 0.0008, 0.031200000000000002, -0.3402, 0.7439, 0.0119, -0.2505, 0.7183, 0.7038, -0.1638, 0.0009000000000000001, 0.6004, -0.3471, 0.5781000000000001], \"bitstrings\": [\"101011111111\", \"101011111011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.3789164768858516, 0.5072587264027817], \"optimization_time\": 35.299851179122925}","-0.25 * (Z(0) @ Z(9)) + -0.5 * (Z(2) @ Z(9)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(9)) + -1.25 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(2)) + -0.25 * (Z(10) @ Z(6)) + -0.5 * (Z(11) @ Z(2)) + -0.5 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(7)) + 1.5 * Z(9) + -0.25 * Z(0) + -0.5 * Z(2) + 1.25 * Z(1) + -0.5 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 0.25 * Z(6) + -0.25 * Z(7) + -1.25 * Z(8) + 0.5 * Z(10) + 0.5 * Z(11)",14,12,4,"{\"smallest_eigenvalues\": [-13.0, -13.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -12.0, \"smallest_bitstrings\": [\"101011111011\", \"101011111001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.0015) q[0];\nry(0.17) q[1];\nry(0.0016) q[2];\nry(0.3921) q[3];\nry(-0.0022) q[4];\nry(-0.0001) q[5];\nry(0.004) q[6];\nry(0.0055) q[7];\nry(0.0015) q[8];\nry(-0.2306) q[9];\nry(0.0097) q[10];\nry(0.0022) q[11];\ncrx(0.3558) q[11], q[0];\ncrx(0.5616) q[10], q[11];\ncrx(0.3591) q[9], q[10];\ncrx(0.6241) q[8], q[9];\ncrx(-0.4839) q[7], q[8];\ncrx(0.592) q[6], q[7];\ncrx(0.2709) q[5], q[6];\ncrx(0.5656) q[4], q[5];\ncrx(0.0052) q[3], q[4];\ncrx(0.731) q[2], q[3];\ncrx(0.0119) q[1], q[2];\ncrx(0.2453) q[0], q[1];\nry(0.0014) q[0];\nry(0.2094) q[1];\nry(0.0039) q[2];\nry(0.3876) q[3];\nry(0.0069) q[4];\nry(0.0065) q[5];\nry(-0.0002) q[6];\nry(-0.0033) q[7];\nry(-0.0007) q[8];\nry(-0.2312) q[9];\nry(0.0027) q[10];\nry(0.0036) q[11];\ncrx(0.7299) q[11], q[10];\ncrx(0.0589) q[0], q[11];\ncrx(0.2924) q[0], q[1];\ncrx(0.0017) q[1], q[2];\ncrx(0.7446) q[2], q[3];\ncrx(-0.0095) q[3], q[4];\ncrx(0.7419) q[4], q[5];\ncrx(0.1893) q[5], q[6];\ncrx(0.713) q[6], q[7];\ncrx(-0.6086) q[7], q[8];\ncrx(0.7431) q[8], q[9];\ncrx(0.1557) q[9], q[10];\nry(-0.0062) q[0];\nry(0.3108) q[1];\nry(0.0006) q[2];\nry(0.3879) q[3];\nry(-0.0013) q[4];\nry(-0.002) q[5];\nry(0.0023) q[6];\nry(0.0044) q[7];\nry(0.0053) q[8];\nry(-0.2289) q[9];\nry(0.0043) q[10];\nry(0.001) q[11];\ncrx(0.2666) q[11], q[0];\ncrx(0.7702) q[10], q[11];\ncrx(0.1992) q[9], q[10];\ncrx(0.7371) q[8], q[9];\ncrx(-0.565) q[7], q[8];\ncrx(0.7389) q[6], q[7];\ncrx(-0.0977) q[5], q[6];\ncrx(0.7366) q[4], q[5];\ncrx(-0.0015) q[3], q[4];\ncrx(0.746) q[2], q[3];\ncrx(0.0008) q[1], q[2];\ncrx(0.3596) q[0], q[1];\nry(-0.0103) q[0];\nry(0.3959) q[1];\nry(0.0071) q[2];\nry(0.3886) q[3];\nry(0.0059) q[4];\nry(0.0064) q[5];\nry(0.0031) q[6];\nry(0.0045) q[7];\nry(-0.0006) q[8];\nry(-0.227) q[9];\nry(0.0035) q[10];\nry(0.0036) q[11];\ncrx(0.5046) q[11], q[10];\ncrx(-0.0611) q[0], q[11];\ncrx(0.337) q[0], q[1];\ncrx(0.0007) q[1], q[2];\ncrx(0.7384) q[2], q[3];\ncrx(0) q[3], q[4];\ncrx(0.7561) q[4], q[5];\ncrx(-0.025) q[5], q[6];\ncrx(0.743) q[6], q[7];\ncrx(-0.2622) q[7], q[8];\ncrx(0.7474) q[8], q[9];\ncrx(0.0896) q[9], q[10];\nry(-0.0081) q[0];\nry(0.4608) q[1];\nry(0.0052) q[2];\nry(0.394) q[3];\nry(0.0039) q[4];\nry(-0.0031) q[5];\nry(0.0005) q[6];\nry(0.003) q[7];\nry(-0.0015) q[8];\nry(-0.2299) q[9];\nry(0.0028) q[10];\nry(-0.0005) q[11];\ncrx(0.0658) q[11], q[0];\ncrx(0.4183) q[10], q[11];\ncrx(0.071) q[9], q[10];\ncrx(0.7521) q[8], q[9];\ncrx(0.2291) q[7], q[8];\ncrx(0.7484) q[6], q[7];\ncrx(0.0257) q[5], q[6];\ncrx(0.7537) q[4], q[5];\ncrx(0.0016) q[3], q[4];\ncrx(0.7029) q[2], q[3];\ncrx(0.0068) q[1], q[2];\ncrx(0.2641) q[0], q[1];\nry(-0.0077) q[0];\nry(0.5175) q[1];\nry(-0.0009) q[2];\nry(0.399) q[3];\nry(0.0004) q[4];\nry(0.0046) q[5];\nry(0.0077) q[6];\nry(-0.0004) q[7];\nry(0.0075) q[8];\nry(-0.2299) q[9];\nry(0.0048) q[10];\nry(0.0003) q[11];\ncrx(0.2747) q[11], q[10];\ncrx(-0.0424) q[0], q[11];\ncrx(0.0543) q[0], q[1];\ncrx(0.0022) q[1], q[2];\ncrx(0.7443) q[2], q[3];\ncrx(-0.0077) q[3], q[4];\ncrx(0.7409) q[4], q[5];\ncrx(-0.0171) q[5], q[6];\ncrx(0.7443) q[6], q[7];\ncrx(0.4466) q[7], q[8];\ncrx(0.7618) q[8], q[9];\ncrx(0.0838) q[9], q[10];\nry(0.0072) q[0];\nry(0.5257) q[1];\nry(-0.0003) q[2];\nry(0.3997) q[3];\nry(0.0046) q[4];\nry(0.0012) q[5];\nry(0.0023) q[6];\nry(0.0033) q[7];\nry(0.003) q[8];\nry(-0.2305) q[9];\nry(0.0071) q[10];\nry(0.0065) q[11];\ncrx(-0.057) q[11], q[0];\ncrx(-0.3471) q[10], q[11];\ncrx(0.0009) q[9], q[10];\ncrx(0.7038) q[8], q[9];\ncrx(-0.2505) q[7], q[8];\ncrx(0.7439) q[6], q[7];\ncrx(0.0312) q[5], q[6];\ncrx(0.76) q[4], q[5];\ncrx(-0.0038) q[3], q[4];\ncrx(0.5104) q[2], q[3];\ncrx(0.0021) q[1], q[2];\ncrx(0.1015) q[0], q[1];\nry(0.002) q[0];\nry(0.5242) q[1];\nry(0.007) q[2];\nry(0.3962) q[3];\nry(-0.0002) q[4];\nry(0.0033) q[5];\nry(0.0014) q[6];\nry(0.0008) q[7];\nry(0.0017) q[8];\nry(-0.2295) q[9];\nry(0.0049) q[10];\nry(0.0029) q[11];\ncrx(-0.6139) q[11], q[10];\ncrx(0.1869) q[0], q[11];\ncrx(0.1282) q[0], q[1];\ncrx(0.0011) q[1], q[2];\ncrx(-0.3219) q[2], q[3];\ncrx(0.0008) q[3], q[4];\ncrx(-0.3402) q[4], q[5];\ncrx(0.0119) q[5], q[6];\ncrx(0.7183) q[6], q[7];\ncrx(-0.1638) q[7], q[8];\ncrx(0.6004) q[8], q[9];\ncrx(0.5781) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncrx(x12) q[11], q[0];\ncrx(x13) q[10], q[11];\ncrx(x14) q[9], q[10];\ncrx(x15) q[8], q[9];\ncrx(x16) q[7], q[8];\ncrx(x17) q[6], q[7];\ncrx(x18) q[5], q[6];\ncrx(x19) q[4], q[5];\ncrx(x20) q[3], q[4];\ncrx(x21) q[2], q[3];\ncrx(x22) q[1], q[2];\ncrx(x23) q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x32) q[8];\nry(x33) q[9];\nry(x34) q[10];\nry(x35) q[11];\ncrx(x36) q[11], q[10];\ncrx(x37) q[0], q[11];\ncrx(x38) q[0], q[1];\ncrx(x39) q[1], q[2];\ncrx(x40) q[2], q[3];\ncrx(x41) q[3], q[4];\ncrx(x42) q[4], q[5];\ncrx(x43) q[5], q[6];\ncrx(x44) q[6], q[7];\ncrx(x45) q[7], q[8];\ncrx(x46) q[8], q[9];\ncrx(x47) q[9], q[10];\nry(x48) q[0];\nry(x49) q[1];\nry(x50) q[2];\nry(x51) q[3];\nry(x52) q[4];\nry(x53) q[5];\nry(x54) q[6];\nry(x55) q[7];\nry(x56) q[8];\nry(x57) q[9];\nry(x58) q[10];\nry(x59) q[11];\ncrx(x60) q[11], q[0];\ncrx(x61) q[10], q[11];\ncrx(x62) q[9], q[10];\ncrx(x63) q[8], q[9];\ncrx(x64) q[7], q[8];\ncrx(x65) q[6], q[7];\ncrx(x66) q[5], q[6];\ncrx(x67) q[4], q[5];\ncrx(x0) q[3], q[4];\ncrx(x68) q[2], q[3];\ncrx(x69) q[1], q[2];\ncrx(x70) q[0], q[1];\nry(x71) q[0];\nry(x72) q[1];\nry(x73) q[2];\nry(x74) q[3];\nry(x75) q[4];\nry(x76) q[5];\nry(x77) q[6];\nry(x78) q[7];\nry(x79) q[8];\nry(x80) q[9];\nry(x81) q[10];\nry(x35) q[11];\ncrx(x82) q[11], q[10];\ncrx(x83) q[0], q[11];\ncrx(x84) q[0], q[1];\ncrx(x85) q[1], q[2];\ncrx(x86) q[2], q[3];\ncrx(x87) q[3], q[4];\ncrx(x88) q[4], q[5];\ncrx(x89) q[5], q[6];\ncrx(x90) q[6], q[7];\ncrx(x91) q[7], q[8];\ncrx(x92) q[8], q[9];\ncrx(x93) q[9], q[10];\nry(x94) q[0];\nry(x95) q[1];\nry(x20) q[2];\nry(x96) q[3];\nry(x26) q[4];\nry(x97) q[5];\nry(x98) q[6];\nry(x99) q[7];\nry(x0) q[8];\nry(x100) q[9];\nry(x101) q[10];\nry(x102) q[11];\ncrx(x103) q[11], q[0];\ncrx(x104) q[10], q[11];\ncrx(x105) q[9], q[10];\ncrx(x106) q[8], q[9];\ncrx(x107) q[7], q[8];\ncrx(x108) q[6], q[7];\ncrx(x109) q[5], q[6];\ncrx(x110) q[4], q[5];\ncrx(x2) q[3], q[4];\ncrx(x111) q[2], q[3];\ncrx(x112) q[1], q[2];\ncrx(x113) q[0], q[1];\nry(x114) q[0];\nry(x115) q[1];\nry(x116) q[2];\nry(x117) q[3];\nry(x118) q[4];\nry(x119) q[5];\nry(x120) q[6];\nry(x121) q[7];\nry(x122) q[8];\nry(x100) q[9];\nry(x123) q[10];\nry(x124) q[11];\ncrx(x125) q[11], q[10];\ncrx(x126) q[0], q[11];\ncrx(x127) q[0], q[1];\ncrx(x11) q[1], q[2];\ncrx(x128) q[2], q[3];\ncrx(x114) q[3], q[4];\ncrx(x129) q[4], q[5];\ncrx(x130) q[5], q[6];\ncrx(x128) q[6], q[7];\ncrx(x131) q[7], q[8];\ncrx(x132) q[8], q[9];\ncrx(x133) q[9], q[10];\nry(x134) q[0];\nry(x135) q[1];\nry(x136) q[2];\nry(x137) q[3];\nry(x119) q[4];\nry(x138) q[5];\nry(x54) q[6];\nry(x139) q[7];\nry(x99) q[8];\nry(x140) q[9];\nry(x73) q[10];\nry(x29) q[11];\ncrx(x141) q[11], q[0];\ncrx(x142) q[10], q[11];\ncrx(x143) q[9], q[10];\ncrx(x144) q[8], q[9];\ncrx(x145) q[7], q[8];\ncrx(x146) q[6], q[7];\ncrx(x147) q[5], q[6];\ncrx(x148) q[4], q[5];\ncrx(x149) q[3], q[4];\ncrx(x150) q[2], q[3];\ncrx(x151) q[1], q[2];\ncrx(x152) q[0], q[1];\nry(x153) q[0];\nry(x154) q[1];\nry(x155) q[2];\nry(x156) q[3];\nry(x30) q[4];\nry(x139) q[5];\nry(x24) q[6];\nry(x69) q[7];\nry(x39) q[8];\nry(x157) q[9];\nry(x158) q[10];\nry(x159) q[11];\ncrx(x160) q[11], q[10];\ncrx(x161) q[0], q[11];\ncrx(x162) q[0], q[1];\ncrx(x163) q[1], q[2];\ncrx(x164) q[2], q[3];\ncrx(x69) q[3], q[4];\ncrx(x165) q[4], q[5];\ncrx(x22) q[5], q[6];\ncrx(x166) q[6], q[7];\ncrx(x167) q[7], q[8];\ncrx(x168) q[8], q[9];\ncrx(x169) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["4788755b9046cb997ec5043a21f8c9e6","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 13, \"source\": 0, \"target\": 4}, {\"weight\": 17, \"source\": 1, \"target\": 4}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 19, \"source\": 2, \"target\": 4}, {\"weight\": 14, \"source\": 3, \"target\": 4}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [366, 236], \"expectation_value\": -37.89171134271568, \"params\": null, \"bitstrings\": [\"010010001\", \"100010011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.06937887547688923, 0.21790465421583316], \"optimization_time\": 183.27876377105713}","4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 10.0 * Z(2) + 5.0 * Z(0) + 24.5 * Z(1) + 22.0 * Z(3) + 23.0 * Z(5) + 5.0 * Z(4) + 20.5 * Z(6) + 9.5 * Z(7) + -4.0 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-98.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -90.0, \"smallest_bitstrings\": [\"100010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-9.1684) q[1];\nry(12.5337) q[5];\nry(34.5353) q[3];\nry(-6.435) q[6];\ncry(37.3365) q[8], q[5];\ncry(-63.431) q[8], q[1];\ncry(-24.685) q[4], q[1];\ncry(-62.9289) q[4], q[3];\ncry(-35.6433) q[2], q[3];\nry(62.5998) q[7];\ncry(48.8087) q[2], q[5];\ncry(19.8336) q[2], q[6];\ncry(-6.9081) q[6], q[1];\ncry(-9.164) q[2], q[1];\ncry(-3.75) q[8], q[6];\ncry(-7.5019) q[2], q[7];\nry(0.9865) q[4];\ncry(-36.9125) q[4], q[5];\ncry(4.7838) q[0], q[5];\ncry(0.0078) q[3], q[1];\ncry(0.2429) q[4], q[7];\ncry(-0.1982) q[7], q[1];\nry(-0.46) q[0];\ncry(5.1101) q[0], q[7];\ncry(-1.3616) q[0], q[3];\ncry(-0.5636) q[8], q[3];\ncry(3.9699) q[3], q[5];\ncry(-3.3091) q[4], q[6];\ncry(1.1794) q[0], q[6];\ncry(-2.9427) q[6], q[5];\ncry(1.2865) q[5], q[3];\ncry(-1.2766) q[5], q[1];\ncry(1.0442) q[6], q[3];\ncry(-1.6082) q[1], q[3];\ncry(2.0383) q[6], q[8];\ncry(0.514) q[3], q[6];\ncry(1.6734) q[1], q[6];\ncry(-0.4455) q[5], q[6];\ncry(-0.6218) q[0], q[8];\ncry(1.4876) q[4], q[0];\ncry(1.0316) q[7], q[3];\ncry(-2.5985) q[1], q[2];\ncry(1.4634) q[0], q[1];\ncry(2.092) q[6], q[0];\ncry(1.4267) q[5], q[2];\nry(-0.0836) q[2];\ncry(-0.0953) q[4], q[2];\ncry(-0.2132) q[3], q[2];\ncry(-0.9043) q[6], q[2];\ncry(-0.4007) q[4], q[8];\ncry(-1.3644) q[0], q[2];\ncry(0.7838) q[6], q[7];\ncry(-1.8919) q[1], q[7];\ncry(1.6753) q[3], q[7];\ncry(1.4528) q[7], q[6];\ncry(-0.4291) q[7], q[2];\ncry(-1.2006) q[7], q[0];\ncry(0.5065) q[3], q[0];\ncry(1.8785) q[7], q[5];\ncry(-0.297) q[2], q[0];\ncry(-0.4483) q[7], q[4];\ncry(-0.2905) q[7], q[8];\ncry(0.1596) q[5], q[8];\ncry(-0.1104) q[3], q[8];\ncry(0.6598) q[8], q[2];\ncry(-0.2559) q[1], q[5];\ncry(-0.1464) q[5], q[7];\ncry(-1.0236) q[8], q[0];\ncry(-0.2427) q[1], q[8];\ncry(2.889) q[5], q[4];\ncry(-0.7135) q[8], q[4];\ncry(0.2057) q[6], q[4];\ncry(-0.2358) q[1], q[4];\ncry(0.1238) q[3], q[4];\ncry(0.0629) q[2], q[8];\ncry(0.0142) q[2], q[4];\ncry(-0.0173) q[0], q[4];\ncry(-0.0153) q[5], q[0];\nry(-0.0086) q[8];\ncry(0.0099) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}",{"$cut":{"chars":153825,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-9.1684) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-9.1684) q[1];\\nry(12.5337) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-9.1684) q[1];\\nry(12.5337) q[5];\\nry(34.5353) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-9.1684) q[1];\\nry(12.5337) q[5];\\nry(34.5353) q[3];\\nry(-6.435) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-9.1684) q[1];\\nry(12.5337) q[5];\\nry(34.5353) q[3];\\nry(-6.435) q[6];\\ncry(37.3365) q[8], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-9.1684) q[1];\\nry(12.5337) q[5];\\nry(34.5353) q[3];\\nry(-6.435) q[6];\\ncry(37.3365) q[8], q[5];\\ncry(-63.431) q[8], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-9.1684) q[1];\\nry(12.5337) q[5];\\nry(34.5353) q[3];\\nry(-6.435) q[6];\\ncry(37.3365) q[8], q[5];\\ncry(-63.431) q[8], q[1];\\ncry(-24.685) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-9.1684) q[1];\\nry(12.5337) q[5];\\nry(34.5353) q[3];\\nry(-6.435) q[6];\\ncry(37.3365) q[8], q[5];\\ncry(-63.431) q[8], q[1];\\ncry(-24.685) q[4], q[1];\\ncry(-62.9289) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-9.1684) q[1];\\nry(12.5337) q[5];\\nry(34.5353) q[3];\\nry(-6.435) q[6];\\ncry(37.3365) q[8], q[5];\\ncry(-63.431) q[8], q[1];\\ncry(-24.685) q[4], q[1];\\ncry(-62.9289) q[4], q[3];\\ncry(-35.6433) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = me"}}]
["d5d46267e12bf6022b5986d45d7bae96","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 6, \"target\": 8}, {\"source\": 6, \"target\": 9}, {\"source\": 6, \"target\": 10}, {\"source\": 6, \"target\": 12}, {\"source\": 7, \"target\": 9}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 8, \"target\": 11}, {\"source\": 8, \"target\": 12}, {\"source\": 9, \"target\": 12}, {\"source\": 10, \"target\": 11}, {\"source\": 11, \"target\": 12}]}","{\"states\": [0, 4032], \"expectation_value\": -44.61657186782684, \"params\": [[[0.0024000000000000002, 0.0029000000000000002], [0.0026000000000000003, 0.006200000000000001], [0.0025, 0.0035], [0.0022, 0.0098], [0.0026000000000000003, 0.005], [1.6098000000000001, 0.0037], [0.0021000000000000003, 0.0082], [0.0022, 0.0051], [0.0023, 0.001], [0.0025, 0.0097], [-0.0028, 0.0091], [0.0033, 0.0033]]], \"bitstrings\": [\"111111111111\", \"000000111111\"], \"total_optimization_steps\": 160, \"probabilities\": [0.48051407832461335, 0.5194684925495195], \"optimization_time\": 5.857654094696045}","-2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(8)) + -3.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(6)) + -3.5 * (Z(10) @ Z(8)) + -3.5 * (Z(10) @ Z(6)) + 1.5 * (Z(10) @ Z(9)) + -3.0 * (Z(11) @ Z(8)) + -3.0 * (Z(11) @ Z(6)) + -3.0 * (Z(11) @ Z(9)) + 1.5 * (Z(11) @ Z(10)) + 1.0 * (Z(7) @ Z(8)) + 1.0 * (Z(7) @ Z(6)) + -3.0 * (Z(7) @ Z(9)) + -3.0 * (Z(7) @ Z(10)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(3) + -2.5 * Z(8) + 2.0 * Z(6) + 1.5 * Z(9) + -2.5 * Z(10) + -2.5 * Z(11) + 1.0 * Z(7)",2,12,1,"{\"smallest_eigenvalues\": [-47.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -42.5, \"smallest_bitstrings\": [\"000000111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.0024) q[0];\nrz(0.0029) q[0];\nrx(0.0026) q[1];\nrz(0.0062) q[1];\nrx(0.0025) q[2];\nrz(0.0035) q[2];\nrx(0.0022) q[3];\nrz(0.0098) q[3];\nrx(0.0026) q[4];\nrz(0.005) q[4];\nrx(1.6098) q[5];\nrz(0.0037) q[5];\nrx(0.0021) q[6];\nrz(0.0082) q[6];\nrx(0.0022) q[7];\nrz(0.0051) q[7];\nrx(0.0023) q[8];\nrz(0.001) q[8];\nrx(0.0025) q[9];\nrz(0.0097) q[9];\nrx(-0.0028) q[10];\nrz(0.0091) q[10];\nrx(0.0033) q[11];\nrz(0.0033) q[11];\ncx q[11], q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x2) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x6) q[7];\nrz(x13) q[7];\nrx(x14) q[8];\nrz(x15) q[8];\nrx(x4) q[9];\nrz(x16) q[9];\nrx(x17) q[10];\nrz(x18) q[10];\nrx(x19) q[11];\nrz(x19) q[11];\ncx q[11], q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"node\": 11}","{\"circuits\": [], \"gradients\": []}"]
["4d778fc08d555f5d794c80ebdd4cf032","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 8}, {\"capacity\": 3, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 3, \"source\": 6, \"target\": 7}, {\"capacity\": 3, \"source\": 6, \"target\": 8}, {\"capacity\": 3, \"source\": 7, \"target\": 2}, {\"capacity\": 3, \"source\": 7, \"target\": 5}]}","{\"states\": [256, 1], \"expectation_value\": -14.073440113427013, \"params\": null, \"bitstrings\": [\"011111111\", \"111111110\"], \"total_optimization_steps\": 25, \"probabilities\": [0.16348483599197114, 0.8147018804492054], \"optimization_time\": 34.77807402610779}","-0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(8)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.5 * Z(6) + 0.25 * Z(7) + 1.25 * Z(8) + -0.5 * Z(3) + -1.0 * Z(5) + 0.5 * Z(2)",1,9,1,"{\"smallest_eigenvalues\": [-15.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.0, \"smallest_bitstrings\": [\"111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.5708) q[8], q[0];\nry(1.1165) q[8];\nry(-0.4736) q[0];\nry(-1.5706) q[1];\nry(-1.5706) q[5];\nry(-1.5708) q[4];\nry(-1.5708) q[3];\nry(-1.5615) q[6];\nry(-1.5708) q[7];\nry(-1.5707) q[2];\ncry(-0.2546) q[0], q[8];\ncry(-0.0093) q[8], q[6];\ncry(-0.0077) q[0], q[6];\ncry(-0.0002) q[8], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"source\": 0, \"sink\": 8}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\ncry(-0.0077) q[0], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\ncry(-0.0077) q[0], q[6];\\ncry(-0.0002) q[8], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\ncry(-0.0077) q[0], q[6];\\ncry(-0.0002) q[8], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.5708) q[8], q[0];\\nry(1.1165) q[8];\\nry(-0.4736) q[0];\\nry(-1.5706) q[1];\\nry(-1.5706) q[5];\\nry(-1.5708) q[4];\\nry(-1.5708) q[3];\\nry(-1.5615) q[6];\\nry(-1.5708) q[7];\\nry(-1.5707) q[2];\\ncry(-0.2546) q[0], q[8];\\ncry(-0.0093) q[8], q[6];\\ncry(-0.0077) q[0], q[6];\\ncry(-0.0002) q[8], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\"], \"gradients\": [1.4999, 2.8165, 1.2803, 1.2439, 1.2424, 1.9915, 2.2498, 0.8576, 1.5846, 1.2733, 0.1318, 0.013, 0.0126, 0.0104, 0.0076, 0.0064, 0.0059, 0.0049, 0.0046, 0.0045, 0.0045, 0.0034, 0.0033, 0.0032, 0.003]}"]
["8b31acb00860fd38d33d25290c3ee609","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 6, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 5, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 4, \"source\": 1, \"target\": 7}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 6, \"source\": 2, \"target\": 8}, {\"capacity\": 5, \"source\": 3, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 9}, {\"capacity\": 1, \"source\": 3, \"target\": 10}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 6, \"source\": 4, \"target\": 10}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 8}, {\"capacity\": 3, \"source\": 6, \"target\": 1}, {\"capacity\": 1, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 8}, {\"capacity\": 5, \"source\": 6, \"target\": 9}, {\"capacity\": 3, \"source\": 7, \"target\": 4}, {\"capacity\": 6, \"source\": 7, \"target\": 8}, {\"capacity\": 6, \"source\": 7, \"target\": 10}, {\"capacity\": 6, \"source\": 8, \"target\": 1}, {\"capacity\": 6, \"source\": 8, \"target\": 3}, {\"capacity\": 4, \"source\": 8, \"target\": 6}, {\"capacity\": 2, \"source\": 9, \"target\": 1}, {\"capacity\": 4, \"source\": 9, \"target\": 2}, {\"capacity\": 4, \"source\": 9, \"target\": 3}, {\"capacity\": 6, \"source\": 9, \"target\": 5}, {\"capacity\": 5, \"source\": 9, \"target\": 6}]}","{\"states\": [0, 256], \"expectation_value\": -27.037839111046644, \"params\": [0.0038, -0.2896, 0.0027, 0.0034000000000000002, 0.0024000000000000002, -0.5212, 0.0024000000000000002, 0.0024000000000000002, 0.8074, 0.1288, 0.8018000000000001, 0.0076, -0.0023, -0.5723, -0.0023, 0.0071, 0.0026000000000000003, -0.5951000000000001, 0.0026000000000000003, 0.0073, 0.0025, -0.5815, 0.0025, 0.0047, 0.0025, -0.338, 0.0025, 0.0046, 0.0025, -0.5765, 0.0025, 0.0061, 0.0024000000000000002, -0.5966, 0.0024000000000000002, 0.009600000000000001, 0.0022, -0.5977, 0.0022, 0.0082, 0.0023, -0.5767, 0.0023, 0.0029000000000000002, 0.0359, 0.0327, 0.6067, 0.029500000000000002, 0.024800000000000003, 0.0158, 0.0332, 0.0274, 0.0268, 0.0206, 0.0224], \"bitstrings\": [\"11111111111\", \"11011111111\"], \"total_optimization_steps\": 80, \"probabilities\": [0.4807811975611432, 0.5191665137348255], \"optimization_time\": 63.1106915473938}","-0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(7)) + -1.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -1.5 * (Z(9) @ Z(3)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(6)) + -1.25 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(9)) + -1.0 * (Z(10) @ Z(3)) + -2.5 * (Z(10) @ Z(7)) + -0.5 * (Z(10) @ Z(1)) + -1.5 * (Z(10) @ Z(6)) + -1.25 * (Z(10) @ Z(4)) + 3.75 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(8)) + -0.25 * (Z(2) @ Z(4)) + 0.75 * Z(3) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(7) + 1.0 * Z(8) + -2.25 * Z(1) + -3.75 * Z(6) + 0.25 * Z(9) + 0.75 * Z(4) + 3.75 * Z(10) + 0.5 * Z(2)",5,11,1,"{\"smallest_eigenvalues\": [-28.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -27.0, \"smallest_bitstrings\": [\"11011111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.0038) q[0];\nrz(-0.2896) q[0];\nrx(0.0024) q[1];\nrz(-0.5212) q[1];\nrx(0.8074) q[2];\nrz(0.1288) q[2];\nrx(-0.0023) q[3];\nrz(-0.5723) q[3];\nrx(0.0026) q[4];\nrz(-0.5951) q[4];\nrx(0.0025) q[5];\nrz(-0.5815) q[5];\nrx(0.0025) q[6];\nrz(-0.338) q[6];\nrx(0.0025) q[7];\nrz(-0.5765) q[7];\nrx(0.0024) q[8];\nrz(-0.5966) q[8];\nrx(0.0022) q[9];\nrz(-0.5977) q[9];\nrx(0.0023) q[10];\nrz(-0.5767) q[10];\ncrz(0.0206) q[10], q[9];\ncrz(0.0268) q[10], q[8];\ncrz(0.0274) q[10], q[7];\ncrz(0.0332) q[10], q[6];\ncrz(0.0158) q[10], q[5];\ncrz(0.0248) q[10], q[4];\ncrz(0.0295) q[10], q[3];\ncrz(0.6067) q[10], q[2];\ncrz(0.0327) q[10], q[1];\ncrz(0.0359) q[10], q[0];\ncrz(0.0224) q[9], q[10];\ncrz(0.0268) q[9], q[8];\ncrz(0.0274) q[9], q[7];\ncrz(0.0332) q[9], q[6];\ncrz(0.0158) q[9], q[5];\ncrz(0.0248) q[9], q[4];\ncrz(0.0295) q[9], q[3];\ncrz(0.6067) q[9], q[2];\ncrz(0.0327) q[9], q[1];\ncrz(0.0359) q[9], q[0];\ncrz(0.0224) q[8], q[10];\ncrz(0.0206) q[8], q[9];\ncrz(0.0274) q[8], q[7];\ncrz(0.0332) q[8], q[6];\ncrz(0.0158) q[8], q[5];\ncrz(0.0248) q[8], q[4];\ncrz(0.0295) q[8], q[3];\ncrz(0.6067) q[8], q[2];\ncrz(0.0327) q[8], q[1];\ncrz(0.0359) q[8], q[0];\ncrz(0.0224) q[7], q[10];\ncrz(0.0206) q[7], q[9];\ncrz(0.0268) q[7], q[8];\ncrz(0.0332) q[7], q[6];\ncrz(0.0158) q[7], q[5];\ncrz(0.0248) q[7], q[4];\ncrz(0.0295) q[7], q[3];\ncrz(0.6067) q[7], q[2];\ncrz(0.0327) q[7], q[1];\ncrz(0.0359) q[7], q[0];\ncrz(0.0224) q[6], q[10];\ncrz(0.0206) q[6], q[9];\ncrz(0.0268) q[6], q[8];\ncrz(0.0274) q[6], q[7];\ncrz(0.0158) q[6], q[5];\ncrz(0.0248) q[6], q[4];\ncrz(0.0295) q[6], q[3];\ncrz(0.6067) q[6], q[2];\ncrz(0.0327) q[6], q[1];\ncrz(0.0359) q[6], q[0];\ncrz(0.0224) q[5], q[10];\ncrz(0.0206) q[5], q[9];\ncrz(0.0268) q[5], q[8];\ncrz(0.0274) q[5], q[7];\ncrz(0.0332) q[5], q[6];\ncrz(0.0248) q[5], q[4];\ncrz(0.0295) q[5], q[3];\ncrz(0.6067) q[5], q[2];\ncrz(0.0327) q[5], q[1];\ncrz(0.0359) q[5], q[0];\ncrz(0.0224) q[4], q[10];\ncrz(0.0206) q[4], q[9];\ncrz(0.0268) q[4], q[8];\ncrz(0.0274) q[4], q[7];\ncrz(0.0332) q[4], q[6];\ncrz(0.0158) q[4], q[5];\ncrz(0.0295) q[4], q[3];\ncrz(0.6067) q[4], q[2];\ncrz(0.0327) q[4], q[1];\ncrz(0.0359) q[4], q[0];\ncrz(0.0224) q[3], q[10];\ncrz(0.0206) q[3], q[9];\ncrz(0.0268) q[3], q[8];\ncrz(0.0274) q[3], q[7];\ncrz(0.0332) q[3], q[6];\ncrz(0.0158) q[3], q[5];\ncrz(0.0248) q[3], q[4];\ncrz(0.6067) q[3], q[2];\ncrz(0.0327) q[3], q[1];\ncrz(0.0359) q[3], q[0];\ncrz(0.0224) q[2], q[10];\ncrz(0.0206) q[2], q[9];\ncrz(0.0268) q[2], q[8];\ncrz(0.0274) q[2], q[7];\ncrz(0.0332) q[2], q[6];\ncrz(0.0158) q[2], q[5];\ncrz(0.0248) q[2], q[4];\ncrz(0.0295) q[2], q[3];\ncrz(0.0327) q[2], q[1];\ncrz(0.0359) q[2], q[0];\ncrz(0.0224) q[1], q[10];\ncrz(0.0206) q[1], q[9];\ncrz(0.0268) q[1], q[8];\ncrz(0.0274) q[1], q[7];\ncrz(0.0332) q[1], q[6];\ncrz(0.0158) q[1], q[5];\ncrz(0.0248) q[1], q[4];\ncrz(0.0295) q[1], q[3];\ncrz(0.6067) q[1], q[2];\ncrz(0.0359) q[1], q[0];\ncrz(0.0224) q[0], q[10];\ncrz(0.0206) q[0], q[9];\ncrz(0.0268) q[0], q[8];\ncrz(0.0274) q[0], q[7];\ncrz(0.0332) q[0], q[6];\ncrz(0.0158) q[0], q[5];\ncrz(0.0248) q[0], q[4];\ncrz(0.0295) q[0], q[3];\ncrz(0.6067) q[0], q[2];\ncrz(0.0327) q[0], q[1];\nrx(0.0027) q[0];\nrz(0.0034) q[0];\nrx(0.0024) q[1];\nrz(0.0024) q[1];\nrx(0.8018) q[2];\nrz(0.0076) q[2];\nrx(-0.0023) q[3];\nrz(0.0071) q[3];\nrx(0.0026) q[4];\nrz(0.0073) q[4];\nrx(0.0025) q[5];\nrz(0.0047) q[5];\nrx(0.0025) q[6];\nrz(0.0046) q[6];\nrx(0.0025) q[7];\nrz(0.0061) q[7];\nrx(0.0024) q[8];\nrz(0.0096) q[8];\nrx(0.0022) q[9];\nrz(0.0082) q[9];\nrx(0.0023) q[10];\nrz(0.0029) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x10) q[6];\nrz(x12) q[6];\nrx(x10) q[7];\nrz(x13) q[7];\nrx(x2) q[8];\nrz(x14) q[8];\nrx(x15) q[9];\nrz(x16) q[9];\nrx(x17) q[10];\nrz(x18) q[10];\ncrz(x19) q[10], q[9];\ncrz(x20) q[10], q[8];\ncrz(x21) q[10], q[7];\ncrz(x22) q[10], q[6];\ncrz(x23) q[10], q[5];\ncrz(x24) q[10], q[4];\ncrz(x25) q[10], q[3];\ncrz(x26) q[10], q[2];\ncrz(x27) q[10], q[1];\ncrz(x28) q[10], q[0];\ncrz(x29) q[9], q[10];\ncrz(x20) q[9], q[8];\ncrz(x21) q[9], q[7];\ncrz(x22) q[9], q[6];\ncrz(x23) q[9], q[5];\ncrz(x24) q[9], q[4];\ncrz(x25) q[9], q[3];\ncrz(x26) q[9], q[2];\ncrz(x27) q[9], q[1];\ncrz(x28) q[9], q[0];\ncrz(x29) q[8], q[10];\ncrz(x19) q[8], q[9];\ncrz(x21) q[8], q[7];\ncrz(x22) q[8], q[6];\ncrz(x23) q[8], q[5];\ncrz(x24) q[8], q[4];\ncrz(x25) q[8], q[3];\ncrz(x26) q[8], q[2];\ncrz(x27) q[8], q[1];\ncrz(x28) q[8], q[0];\ncrz(x29) q[7], q[10];\ncrz(x19) q[7], q[9];\ncrz(x20) q[7], q[8];\ncrz(x22) q[7], q[6];\ncrz(x23) q[7], q[5];\ncrz(x24) q[7], q[4];\ncrz(x25) q[7], q[3];\ncrz(x26) q[7], q[2];\ncrz(x27) q[7], q[1];\ncrz(x28) q[7], q[0];\ncrz(x29) q[6], q[10];\ncrz(x19) q[6], q[9];\ncrz(x20) q[6], q[8];\ncrz(x21) q[6], q[7];\ncrz(x23) q[6], q[5];\ncrz(x24) q[6], q[4];\ncrz(x25) q[6], q[3];\ncrz(x26) q[6], q[2];\ncrz(x27) q[6], q[1];\ncrz(x28) q[6], q[0];\ncrz(x29) q[5], q[10];\ncrz(x19) q[5], q[9];\ncrz(x20) q[5], q[8];\ncrz(x21) q[5], q[7];\ncrz(x22) q[5], q[6];\ncrz(x24) q[5], q[4];\ncrz(x25) q[5], q[3];\ncrz(x26) q[5], q[2];\ncrz(x27) q[5], q[1];\ncrz(x28) q[5], q[0];\ncrz(x29) q[4], q[10];\ncrz(x19) q[4], q[9];\ncrz(x20) q[4], q[8];\ncrz(x21) q[4], q[7];\ncrz(x22) q[4], q[6];\ncrz(x23) q[4], q[5];\ncrz(x25) q[4], q[3];\ncrz(x26) q[4], q[2];\ncrz(x27) q[4], q[1];\ncrz(x28) q[4], q[0];\ncrz(x29) q[3], q[10];\ncrz(x19) q[3], q[9];\ncrz(x20) q[3], q[8];\ncrz(x21) q[3], q[7];\ncrz(x22) q[3], q[6];\ncrz(x23) q[3], q[5];\ncrz(x24) q[3], q[4];\ncrz(x26) q[3], q[2];\ncrz(x27) q[3], q[1];\ncrz(x28) q[3], q[0];\ncrz(x29) q[2], q[10];\ncrz(x19) q[2], q[9];\ncrz(x20) q[2], q[8];\ncrz(x21) q[2], q[7];\ncrz(x22) q[2], q[6];\ncrz(x23) q[2], q[5];\ncrz(x24) q[2], q[4];\ncrz(x25) q[2], q[3];\ncrz(x27) q[2], q[1];\ncrz(x28) q[2], q[0];\ncrz(x29) q[1], q[10];\ncrz(x19) q[1], q[9];\ncrz(x20) q[1], q[8];\ncrz(x21) q[1], q[7];\ncrz(x22) q[1], q[6];\ncrz(x23) q[1], q[5];\ncrz(x24) q[1], q[4];\ncrz(x25) q[1], q[3];\ncrz(x26) q[1], q[2];\ncrz(x28) q[1], q[0];\ncrz(x29) q[0], q[10];\ncrz(x19) q[0], q[9];\ncrz(x20) q[0], q[8];\ncrz(x21) q[0], q[7];\ncrz(x22) q[0], q[6];\ncrz(x23) q[0], q[5];\ncrz(x24) q[0], q[4];\ncrz(x25) q[0], q[3];\ncrz(x26) q[0], q[2];\ncrz(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x2) q[1];\nrz(x2) q[1];\nrx(x32) q[2];\nrz(x33) q[2];\nrx(x6) q[3];\nrz(x34) q[3];\nrx(x8) q[4];\nrz(x35) q[4];\nrx(x10) q[5];\nrz(x36) q[5];\nrx(x10) q[6];\nrz(x37) q[6];\nrx(x10) q[7];\nrz(x38) q[7];\nrx(x2) q[8];\nrz(x39) q[8];\nrx(x15) q[9];\nrz(x40) q[9];\nrx(x17) q[10];\nrz(x41) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["37dd861ffe467d8187ee76bb8660b740","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 10}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 5, \"target\": 11}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}, {\"source\": 9, \"target\": 11}, {\"source\": 10, \"target\": 11}]}","{\"states\": [2047, 1023], \"expectation_value\": -45.77577291544803, \"params\": [[[1.6416000000000002, 0.0028], [0.0023, 0.0077], [-0.0026000000000000003, 0.0], [0.0023, 0.0067], [-0.0025, 0.0002], [-0.0024000000000000002, 0.009300000000000001], [-0.0025, 0.007], [-0.0026000000000000003, 0.0054], [-0.0023, 0.006], [-0.0026000000000000003, 0.0037], [2.7083, 0.0046]]], \"bitstrings\": [\"00000000000\", \"10000000000\"], \"total_optimization_steps\": 270, \"probabilities\": [0.44313909305712, 0.5106378112464152], \"optimization_time\": 9.904494762420654}","0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(7) @ Z(6)) + -3.0 * (Z(7) @ Z(5)) + 1.5 * (Z(1) @ Z(6)) + -3.5 * (Z(1) @ Z(5)) + 1.0 * (Z(1) @ Z(7)) + -3.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(1)) + -4.0 * (Z(9) @ Z(6)) + 1.5 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(7)) + -4.0 * (Z(9) @ Z(1)) + -3.0 * (Z(9) @ Z(8)) + -4.0 * (Z(2) @ Z(6)) + 1.0 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + -3.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(8)) + 1.5 * (Z(2) @ Z(9)) + 1.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(5)) + 1.0 * (Z(10) @ Z(7)) + -3.0 * (Z(10) @ Z(1)) + -3.5 * (Z(10) @ Z(8)) + -3.5 * (Z(10) @ Z(9)) + -3.0 * (Z(10) @ Z(2)) + -1.5 * Z(4) + -1.0 * Z(0) + 1.0 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(9) + 0.5 * Z(2) + 0.5 * Z(10)",2,11,1,"{\"smallest_eigenvalues\": [-47.5, -47.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -46.5, \"smallest_bitstrings\": [\"10000000000\", \"10011000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(1.6416) q[0];\nrz(0.0028) q[0];\nrx(0.0023) q[1];\nrz(0.0077) q[1];\nrx(-0.0026) q[2];\nrz(0) q[2];\nrx(0.0023) q[3];\nrz(0.0067) q[3];\nrx(-0.0025) q[4];\nrz(0.0002) q[4];\nrx(-0.0024) q[5];\nrz(0.0093) q[5];\nrx(-0.0025) q[6];\nrz(0.007) q[6];\nrx(-0.0026) q[7];\nrz(0.0054) q[7];\nrx(-0.0023) q[8];\nrz(0.006) q[8];\nrx(-0.0026) q[9];\nrz(0.0037) q[9];\nrx(2.7083) q[10];\nrz(0.0046) q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x2) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x7) q[6];\nrz(x11) q[6];\nrx(x4) q[7];\nrz(x12) q[7];\nrx(x13) q[8];\nrz(x14) q[8];\nrx(x4) q[9];\nrz(x15) q[9];\nrx(x16) q[10];\nrz(x17) q[10];\ncx q[10], q[9];\ncx q[9], q[8];\ncx q[8], q[7];\ncx q[7], q[6];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[2];\ncx q[2], q[1];\ncx q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 1}","{\"circuits\": [], \"gradients\": []}"]
["44db6493095286b918fb0c5bac33de1d","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 3}, {\"weight\": 15, \"source\": 0, \"target\": 7}, {\"weight\": 19, \"source\": 0, \"target\": 4}, {\"weight\": 9, \"source\": 1, \"target\": 4}, {\"weight\": 6, \"source\": 2, \"target\": 5}, {\"weight\": 13, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 2, \"target\": 7}, {\"weight\": 14, \"source\": 2, \"target\": 6}]}","{\"states\": [203, 107], \"expectation_value\": -37.254546661429075, \"params\": null, \"bitstrings\": [\"00110100\", \"10010100\"], \"total_optimization_steps\": 100, \"probabilities\": [0.057206048320369615, 0.39438522917744046], \"optimization_time\": 171.56388092041016}","4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15.5 * Z(4) + 7.5 * Z(5) + 11.5 * Z(6) + 15.0 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-63.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -57.5, \"smallest_bitstrings\": [\"10010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[4];\nry(22.4081) q[1];\nry(63.2613) q[2];\nry(10.617) q[7];\nry(63.0833) q[6];\ncry(62.605) q[4], q[2];\ncry(23.8282) q[6], q[2];\ncry(-11.7947) q[4], q[1];\nry(-0.0629) q[0];\nry(0.3559) q[5];\ncry(-0.3163) q[5], q[2];\ncry(-0.4988) q[5], q[4];\ncry(0.7679) q[4], q[0];\ncry(16.152) q[0], q[2];\ncry(-0.0369) q[4], q[6];\ncry(-0.0834) q[0], q[6];\ncry(-0.0601) q[0], q[5];\ncry(-0.1793) q[4], q[5];\ncry(6.8819) q[0], q[4];\ncry(-0.0697) q[3], q[4];\ncry(0.1208) q[2], q[4];\ncry(0.103) q[6], q[4];\ncry(-0.2605) q[2], q[6];\ncry(0.1174) q[3], q[6];\ncry(0.3719) q[2], q[5];\ncry(0.163) q[5], q[6];\ncry(0.7536) q[3], q[5];\ncry(-4.0062) q[5], q[1];\ncry(0.2704) q[1], q[4];\ncry(1.0318) q[1], q[6];\ncry(1.0503) q[6], q[1];\ncry(-1.7269) q[1], q[3];\ncry(-4.2397) q[0], q[7];\ncry(1.9852) q[5], q[7];\ncry(-0.9721) q[7], q[1];\ncry(1.1012) q[0], q[1];\ncry(1.336) q[4], q[7];\ncry(-0.8465) q[7], q[4];\ncry(2.0552) q[1], q[5];\ncry(-0.6129) q[1], q[7];\ncry(0.5072) q[2], q[1];\ncry(0.6115) q[7], q[5];\ncry(0.3229) q[7], q[6];\ncry(-2.8023) q[6], q[0];\ncry(-0.1013) q[1], q[2];\ncry(-0.9353) q[7], q[2];\ncry(-0.444) q[1], q[0];\ncry(-0.0484) q[2], q[7];\nry(0.3317) q[3];\ncry(-1.6001) q[3], q[2];\ncry(-0.2183) q[6], q[3];\ncry(0.8804) q[0], q[3];\ncry(2.2537) q[3], q[1];\ncry(-0.4709) q[4], q[3];\ncry(-0.0794) q[7], q[0];\ncry(-1.2194) q[5], q[3];\ncry(0.0429) q[6], q[7];\ncry(-0.0554) q[7], q[3];\ncry(0.1046) q[2], q[3];\ncry(-0.5827) q[5], q[0];\ncry(0.0687) q[6], q[5];\ncry(-0.0529) q[2], q[0];\ncry(0.1145) q[3], q[7];\ncry(-0.3472) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}",{"$cut":{"chars":139265,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nry(22.4081) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nry(22.4081) q[1];\\nry(63.2613) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nry(22.4081) q[1];\\nry(63.2613) q[2];\\nry(10.617) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nry(22.4081) q[1];\\nry(63.2613) q[2];\\nry(10.617) q[7];\\nry(63.0833) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nry(22.4081) q[1];\\nry(63.2613) q[2];\\nry(10.617) q[7];\\nry(63.0833) q[6];\\ncry(62.605) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nry(22.4081) q[1];\\nry(63.2613) q[2];\\nry(10.617) q[7];\\nry(63.0833) q[6];\\ncry(62.605) q[4], q[2];\\ncry(23.8282) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nry(22.4081) q[1];\\nry(63.2613) q[2];\\nry(10.617) q[7];\\nry(63.0833) q[6];\\ncry(62.605) q[4], q[2];\\ncry(23.8282) q[6], q[2];\\ncry(-11.7947) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nry(22.4081) q[1];\\nry(63.2613) q[2];\\nry(10.617) q[7];\\nry(63.0833) q[6];\\ncry(62.605) q[4], q[2];\\ncry(23.8282) q[6], q[2];\\ncry(-11.7947) q[4], q[1];\\nry(-0.0629) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(8.8595) q[4];\\nry(22.4081) q[1];\\nry(63.2613) q[2];\\nry(10.617) q[7];\\nry(63.0833) q[6];\\ncry(62.605) q[4], q[2];\\ncry(23.8282) q[6], q[2];\\ncry(-11.7947) q[4], q[1];\\nry(-0.062"}}]
["bfcc016c6d32554855d911056b5152b6","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 6, \"source\": 0, \"target\": 2}, {\"capacity\": 4, \"source\": 0, \"target\": 5}, {\"capacity\": 4, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 5}, {\"capacity\": 4, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 7}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 6, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 4}]}","{\"states\": [9, 1], \"expectation_value\": -4.142108360843188, \"params\": [[-0.0724, -0.0776], [0.06910000000000001, 0.0729]], \"bitstrings\": [\"11110110\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.011046135623686077, 0.011260846632083056], \"optimization_time\": 3.7415049076080322}","-0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -1.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(3)) + 1.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) + -1.5 * Z(5) + -5.0 * Z(6) + -0.25 * Z(3) + 3.25 * Z(7) + 2.0 * Z(4)",1,8,2,"{\"smallest_eigenvalues\": [-22.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.25, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.0724) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1086) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2172) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(0.1448) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.1448) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.0724) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(0.1448) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.1448) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0362) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(0.0724) q[6];\ncx q[5], q[6];\ncx q[2], q[3];\nrz(0.0724) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(0.2172) q[3];\ncx q[6], q[3];\ncx q[0], q[7];\nrz(-0.6154) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.1448) q[7];\ncx q[2], q[7];\ncx q[6], q[4];\nrz(0.2534) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.1086) q[4];\ncx q[3], q[4];\nrz(-0.2534) q[1];\nrz(0.0362) q[0];\nrz(0) q[2];\nrz(0.2172) q[5];\nrz(0.724) q[6];\nrz(0.0362) q[3];\nrz(-0.4706) q[7];\nrz(-0.2896) q[4];\nh q[0];\nrz(0.1382) q[0];\nh q[0];\nh q[1];\nrz(0.1382) q[1];\nh q[1];\nh q[2];\nrz(0.1382) q[2];\nh q[2];\nh q[3];\nrz(0.1382) q[3];\nh q[3];\nh q[4];\nrz(0.1382) q[4];\nh q[4];\nh q[5];\nrz(0.1382) q[5];\nh q[5];\nh q[6];\nrz(0.1382) q[6];\nh q[6];\nh q[7];\nrz(0.1382) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0776) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1164) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2328) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(0.1552) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.1552) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.0776) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(0.1552) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.1552) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0388) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(0.0776) q[6];\ncx q[5], q[6];\ncx q[2], q[3];\nrz(0.0776) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(0.2328) q[3];\ncx q[6], q[3];\ncx q[0], q[7];\nrz(-0.6596) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.1552) q[7];\ncx q[2], q[7];\ncx q[6], q[4];\nrz(0.2716) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.1164) q[4];\ncx q[3], q[4];\nrz(-0.2716) q[1];\nrz(0.0388) q[0];\nrz(0) q[2];\nrz(0.2328) q[5];\nrz(0.776) q[6];\nrz(0.0388) q[3];\nrz(-0.5044) q[7];\nrz(-0.3104) q[4];\nh q[0];\nrz(0.1458) q[0];\nh q[0];\nh q[1];\nrz(0.1458) q[1];\nh q[1];\nh q[2];\nrz(0.1458) q[2];\nh q[2];\nh q[3];\nrz(0.1458) q[3];\nh q[3];\nh q[4];\nrz(0.1458) q[4];\nh q[4];\nh q[5];\nrz(0.1458) q[5];\nh q[5];\nh q[6];\nrz(0.1458) q[6];\nh q[6];\nh q[7];\nrz(0.1458) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x3) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x4) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[0], q[7];\nrz(x5) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x3) q[7];\ncx q[2], q[7];\ncx q[6], q[4];\nrz(x6) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\nrz(x7) q[1];\nrz(x4) q[0];\nrz(x8) q[2];\nrz(x2) q[5];\nrz(x9) q[6];\nrz(x4) q[3];\nrz(x10) q[7];\nrz(x11) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x13) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x14) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x15) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x16) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x13) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x16) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x16) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x17) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x13) q[6];\ncx q[5], q[6];\ncx q[2], q[3];\nrz(x13) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x15) q[3];\ncx q[6], q[3];\ncx q[0], q[7];\nrz(x18) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x16) q[7];\ncx q[2], q[7];\ncx q[6], q[4];\nrz(x19) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x14) q[4];\ncx q[3], q[4];\nrz(x20) q[1];\nrz(x17) q[0];\nrz(x8) q[2];\nrz(x15) q[5];\nrz(x21) q[6];\nrz(x17) q[3];\nrz(x22) q[7];\nrz(x23) q[4];\nh q[0];\nrz(x24) q[0];\nh q[0];\nh q[1];\nrz(x24) q[1];\nh q[1];\nh q[2];\nrz(x24) q[2];\nh q[2];\nh q[3];\nrz(x24) q[3];\nh q[3];\nh q[4];\nrz(x24) q[4];\nh q[4];\nh q[5];\nrz(x24) q[5];\nh q[5];\nh q[6];\nrz(x24) q[6];\nh q[6];\nh q[7];\nrz(x24) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["b03062475f1287ad31bf0aaec748b841","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [1023, 963], \"expectation_value\": -0.863041690378769, \"params\": [[-0.0437], [0.0526]], \"bitstrings\": [\"0000000000\", \"0000111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0013904368624017072, 0.0014092206378056855], \"optimization_time\": 1.906139612197876}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 * Z(5) + 1.5 * Z(4) + -1.5 * Z(6) + 1.0 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2)",5,10,1,"{\"smallest_eigenvalues\": [-24.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -22.0, \"smallest_bitstrings\": [\"0000111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(0.1311) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.1311) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.1311) q[3];\ncx q[0], q[3];\ncx q[5], q[4];\nrz(0.2185) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(0.2185) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.2185) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(0.2185) q[7];\ncx q[5], q[7];\ncx q[4], q[7];\nrz(0.1748) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0874) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(0.1311) q[8];\ncx q[9], q[8];\ncx q[9], q[2];\nrz(0.1311) q[2];\ncx q[9], q[2];\ncx q[8], q[2];\nrz(0.1311) q[2];\ncx q[8], q[2];\nrz(-0.0437) q[1];\nrz(-0.0437) q[0];\nrz(-0.0437) q[3];\nrz(0.1748) q[5];\nrz(-0.1311) q[4];\nrz(0.1311) q[6];\nrz(-0.0874) q[7];\nrz(-0.0437) q[9];\nrz(-0.0437) q[8];\nrz(-0.0437) q[2];\nh q[0];\nrz(0.1052) q[0];\nh q[0];\nh q[1];\nrz(0.1052) q[1];\nh q[1];\nh q[2];\nrz(0.1052) q[2];\nh q[2];\nh q[3];\nrz(0.1052) q[3];\nh q[3];\nh q[4];\nrz(0.1052) q[4];\nh q[4];\nh q[5];\nrz(0.1052) q[5];\nh q[5];\nh q[6];\nrz(0.1052) q[6];\nh q[6];\nh q[7];\nrz(0.1052) q[7];\nh q[7];\nh q[8];\nrz(0.1052) q[8];\nh q[8];\nh q[9];\nrz(0.1052) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[7];\nrz(x1) q[7];\ncx q[5], q[7];\ncx q[4], q[7];\nrz(x2) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x3) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(x0) q[8];\ncx q[9], q[8];\ncx q[9], q[2];\nrz(x0) q[2];\ncx q[9], q[2];\ncx q[8], q[2];\nrz(x0) q[2];\ncx q[8], q[2];\nrz(x4) q[1];\nrz(x4) q[0];\nrz(x4) q[3];\nrz(x2) q[5];\nrz(x5) q[4];\nrz(x0) q[6];\nrz(x3) q[7];\nrz(x4) q[9];\nrz(x4) q[8];\nrz(x4) q[2];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\nh q[9];\nrz(x6) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 7}","{\"circuits\": [], \"gradients\": []}"]
["d56c975033dd057e743f83adc19a7c34","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [37, 75], \"expectation_value\": -0.858238373917541, \"params\": [[-0.065, -0.045700000000000005, -0.0375, -0.019200000000000002], [0.078, 0.0651, 0.057800000000000004, 0.0497]], \"bitstrings\": [\"1011010\", \"0110100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.014247210807955504, 0.015269223968595324], \"optimization_time\": 6.247194766998291}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3)",1,7,4,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"0110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.065) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.065) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.065) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.065) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(-0.065) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.065) q[2];\ncx q[5], q[2];\ncx q[2], q[6];\nrz(-0.065) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(-0.065) q[3];\ncx q[4], q[3];\nrz(0.065) q[1];\nrz(0.065) q[0];\nrz(0.195) q[4];\nrz(0.13) q[5];\nrz(0.13) q[2];\nrz(0) q[6];\nrz(0) q[3];\nh q[0];\nrz(0.156) q[0];\nh q[0];\nh q[1];\nrz(0.156) q[1];\nh q[1];\nh q[2];\nrz(0.156) q[2];\nh q[2];\nh q[3];\nrz(0.156) q[3];\nh q[3];\nh q[4];\nrz(0.156) q[4];\nh q[4];\nh q[5];\nrz(0.156) q[5];\nh q[5];\nh q[6];\nrz(0.156) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0457) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0457) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0457) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0457) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(-0.0457) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0457) q[2];\ncx q[5], q[2];\ncx q[2], q[6];\nrz(-0.0457) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(-0.0457) q[3];\ncx q[4], q[3];\nrz(0.0457) q[1];\nrz(0.0457) q[0];\nrz(0.1371) q[4];\nrz(0.0914) q[5];\nrz(0.0914) q[2];\nrz(0) q[6];\nrz(0) q[3];\nh q[0];\nrz(0.1302) q[0];\nh q[0];\nh q[1];\nrz(0.1302) q[1];\nh q[1];\nh q[2];\nrz(0.1302) q[2];\nh q[2];\nh q[3];\nrz(0.1302) q[3];\nh q[3];\nh q[4];\nrz(0.1302) q[4];\nh q[4];\nh q[5];\nrz(0.1302) q[5];\nh q[5];\nh q[6];\nrz(0.1302) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0375) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0375) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0375) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0375) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(-0.0375) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0375) q[2];\ncx q[5], q[2];\ncx q[2], q[6];\nrz(-0.0375) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(-0.0375) q[3];\ncx q[4], q[3];\nrz(0.0375) q[1];\nrz(0.0375) q[0];\nrz(0.1125) q[4];\nrz(0.075) q[5];\nrz(0.075) q[2];\nrz(0) q[6];\nrz(0) q[3];\nh q[0];\nrz(0.1156) q[0];\nh q[0];\nh q[1];\nrz(0.1156) q[1];\nh q[1];\nh q[2];\nrz(0.1156) q[2];\nh q[2];\nh q[3];\nrz(0.1156) q[3];\nh q[3];\nh q[4];\nrz(0.1156) q[4];\nh q[4];\nh q[5];\nrz(0.1156) q[5];\nh q[5];\nh q[6];\nrz(0.1156) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0192) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(-0.0192) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(-0.0192) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0192) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(-0.0192) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0192) q[2];\ncx q[5], q[2];\ncx q[2], q[6];\nrz(-0.0192) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(-0.0192) q[3];\ncx q[4], q[3];\nrz(0.0192) q[1];\nrz(0.0192) q[0];\nrz(0.0576) q[4];\nrz(0.0384) q[5];\nrz(0.0384) q[2];\nrz(0) q[6];\nrz(0) q[3];\nh q[0];\nrz(0.0994) q[0];\nh q[0];\nh q[1];\nrz(0.0994) q[1];\nh q[1];\nh q[2];\nrz(0.0994) q[2];\nh q[2];\nh q[3];\nrz(0.0994) q[3];\nh q[3];\nh q[4];\nrz(0.0994) q[4];\nh q[4];\nh q[5];\nrz(0.0994) q[5];\nh q[5];\nh q[6];\nrz(0.0994) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x2) q[4];\nrz(x3) q[5];\nrz(x3) q[2];\nrz(x4) q[6];\nrz(x4) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x6) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x6) q[2];\ncx q[5], q[2];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(x6) q[3];\ncx q[4], q[3];\nrz(x7) q[1];\nrz(x7) q[0];\nrz(x8) q[4];\nrz(x9) q[5];\nrz(x9) q[2];\nrz(x4) q[6];\nrz(x4) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x11) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(x11) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x11) q[2];\ncx q[5], q[2];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(x11) q[3];\ncx q[4], q[3];\nrz(x12) q[1];\nrz(x12) q[0];\nrz(x13) q[4];\nrz(x14) q[5];\nrz(x14) q[2];\nrz(x4) q[6];\nrz(x4) q[3];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[0], q[4];\nrz(x16) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x16) q[5];\ncx q[4], q[5];\ncx q[4], q[2];\nrz(x16) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x16) q[2];\ncx q[5], q[2];\ncx q[2], q[6];\nrz(x16) q[6];\ncx q[2], q[6];\ncx q[4], q[3];\nrz(x16) q[3];\ncx q[4], q[3];\nrz(x17) q[1];\nrz(x17) q[0];\nrz(x18) q[4];\nrz(x19) q[5];\nrz(x19) q[2];\nrz(x4) q[6];\nrz(x4) q[3];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["a238ea382c7dc73ed8f6a6edbed535c4","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 0, \"target\": 9}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 8}, {\"capacity\": 1, \"source\": 5, \"target\": 10}, {\"capacity\": 2, \"source\": 6, \"target\": 10}, {\"capacity\": 1, \"source\": 7, \"target\": 1}, {\"capacity\": 1, \"source\": 8, \"target\": 7}, {\"capacity\": 1, \"source\": 9, \"target\": 2}, {\"capacity\": 2, \"source\": 9, \"target\": 5}, {\"capacity\": 1, \"source\": 9, \"target\": 10}]}","{\"states\": [0, 256], \"expectation_value\": -7.244037652133843, \"params\": [-0.0345, -0.0267, -0.0235, -0.0109, -0.007200000000000001, 0.19790000000000002, -0.0002, 0.2323, 0.3017, 0.0004, 0.3005, 0.0005, -0.0025, 0.23650000000000002, -0.0031000000000000003, 0.2361, -0.0017000000000000001, 0.2074, -0.0031000000000000003, 0.2358, -0.0025, 0.1769, -0.0018000000000000002, 0.21080000000000002, 0.0006000000000000001, 0.23390000000000002, -0.0066, 0.226, -0.0009000000000000001, 0.2421, -0.006500000000000001, 0.2335, -0.0008, 0.23500000000000001, -0.006, 0.23820000000000002, -0.0039000000000000003, 0.23820000000000002, -0.0037, 0.2379, 0.0239, 0.186, 0.029, 0.2199, -0.019200000000000002, -0.0067, 0.006900000000000001, 0.0109, -0.0004, 0.2366, -0.0044, 0.2374, 0.3079, 0.0002, 0.3022, 0.0008, -0.0061, 0.23070000000000002, 0.0008, 0.2368, 0.0002, 0.2296, -0.0027, 0.23, -0.0031000000000000003, 0.19990000000000002, -0.0049, 0.1612, -0.0041, 0.22160000000000002, -0.0007, 0.2281, -0.0063, 0.22940000000000002, -0.0016, 0.2368, -0.0038, 0.24130000000000001, 0.0021000000000000003, 0.23800000000000002, -0.0026000000000000003, 0.23750000000000002, -0.0004, 0.2374, 0.0323, 0.22190000000000001, -0.0032, 0.2147, 0.012700000000000001, 0.0216, 0.0482, 0.0058000000000000005, -0.0, 0.2019, -0.0054, 0.0074, 0.3015, 0.0002, 0.3043, 0.0067, -0.0031000000000000003, 0.24230000000000002, -0.003, 0.0009000000000000001, -0.0027, 0.23520000000000002, -0.0008, 0.005, -0.0006000000000000001, 0.15510000000000002, 0.0018000000000000002, 0.0014, -0.0013000000000000002, 0.2335, -0.003, 0.0001, -0.0082, 0.1867, 0.0017000000000000001, 0.0079, -0.002, 0.2456, -0.0035, 0.0061, -0.0002, 0.2092, -0.006, 0.0017000000000000001, -0.006500000000000001, 0.2223, -0.0132, 0.008400000000000001, 0.0033, -0.0016, 0.139, -0.0038, -0.0005, 0.0017000000000000001, -0.004200000000000001, 0.0047, -0.0047, -0.0009000000000000001, 0.0109, 0.0011, -0.0012000000000000001, 0.2441, -0.0025, -0.0008, -0.0004, -0.0011, 0.0058000000000000005, -0.0021000000000000003, -0.0034000000000000002, 0.0026000000000000003, 0.0361, -0.006, 0.2313, -0.0053, -0.0034000000000000002, -0.0022, -0.0046, 0.0064, -0.0047, -0.0055000000000000005, -0.0056], \"bitstrings\": [\"11111111111\", \"11011111111\"], \"total_optimization_steps\": 30, \"probabilities\": [0.3768231077580652, 0.6214486670781753], \"optimization_time\": 76.45184135437012}","-0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(10)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(9) @ Z(6)) + -0.25 * (Z(9) @ Z(8)) + 1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(10)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(6) + 0.75 * Z(10) + -0.5 * Z(3) + 0.5 * Z(4) + 0.0 * Z(7) + 0.25 * Z(5) + -0.25 * Z(8) + -0.25 * Z(9) + 0.5 * Z(2)",6,11,3,"{\"smallest_eigenvalues\": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], \"number_of_smallest_eigenvalues\": 7, \"first_excited_energy\": -7.0, \"smallest_bitstrings\": [\"11010010110\", \"11011111111\", \"11010010111\", \"11000010110\", \"11011110110\", \"11011110111\", \"11011111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.0345) q[0];\nrz(-0.0267) q[0];\nrx(-0.0072) q[1];\nrz(0.1979) q[1];\nrx(0.3017) q[2];\nrz(0.0004) q[2];\nrx(-0.0025) q[3];\nrz(0.2365) q[3];\nrx(-0.0017) q[4];\nrz(0.2074) q[4];\nrx(-0.0025) q[5];\nrz(0.1769) q[5];\nrx(0.0006) q[6];\nrz(0.2339) q[6];\nrx(-0.0009) q[7];\nrz(0.2421) q[7];\nrx(-0.0008) q[8];\nrz(0.235) q[8];\nrx(-0.0039) q[9];\nrz(0.2382) q[9];\nrx(0.0239) q[10];\nrz(0.186) q[10];\ncrx(-0.0009) q[10], q[9];\ncrx(-0.0047) q[10], q[8];\ncrx(0.0047) q[10], q[7];\ncrx(-0.0042) q[10], q[6];\ncrx(0.0017) q[10], q[5];\ncrx(-0.0005) q[10], q[4];\ncrx(-0.0038) q[10], q[3];\ncrx(0.139) q[10], q[2];\ncrx(-0.0016) q[10], q[1];\ncrx(0.0033) q[10], q[0];\ncrx(0.0109) q[9], q[10];\ncrx(-0.0047) q[9], q[8];\ncrx(0.0047) q[9], q[7];\ncrx(-0.0042) q[9], q[6];\ncrx(0.0017) q[9], q[5];\ncrx(-0.0005) q[9], q[4];\ncrx(-0.0038) q[9], q[3];\ncrx(0.139) q[9], q[2];\ncrx(-0.0016) q[9], q[1];\ncrx(0.0033) q[9], q[0];\ncrx(0.0109) q[8], q[10];\ncrx(-0.0009) q[8], q[9];\ncrx(0.0047) q[8], q[7];\ncrx(-0.0042) q[8], q[6];\ncrx(0.0017) q[8], q[5];\ncrx(-0.0005) q[8], q[4];\ncrx(-0.0038) q[8], q[3];\ncrx(0.139) q[8], q[2];\ncrx(-0.0016) q[8], q[1];\ncrx(0.0033) q[8], q[0];\ncrx(0.0109) q[7], q[10];\ncrx(-0.0009) q[7], q[9];\ncrx(-0.0047) q[7], q[8];\ncrx(-0.0042) q[7], q[6];\ncrx(0.0017) q[7], q[5];\ncrx(-0.0005) q[7], q[4];\ncrx(-0.0038) q[7], q[3];\ncrx(0.139) q[7], q[2];\ncrx(-0.0016) q[7], q[1];\ncrx(0.0033) q[7], q[0];\ncrx(0.0109) q[6], q[10];\ncrx(-0.0009) q[6], q[9];\ncrx(-0.0047) q[6], q[8];\ncrx(0.0047) q[6], q[7];\ncrx(0.0017) q[6], q[5];\ncrx(-0.0005) q[6], q[4];\ncrx(-0.0038) q[6], q[3];\ncrx(0.139) q[6], q[2];\ncrx(-0.0016) q[6], q[1];\ncrx(0.0033) q[6], q[0];\ncrx(0.0109) q[5], q[10];\ncrx(-0.0009) q[5], q[9];\ncrx(-0.0047) q[5], q[8];\ncrx(0.0047) q[5], q[7];\ncrx(-0.0042) q[5], q[6];\ncrx(-0.0005) q[5], q[4];\ncrx(-0.0038) q[5], q[3];\ncrx(0.139) q[5], q[2];\ncrx(-0.0016) q[5], q[1];\ncrx(0.0033) q[5], q[0];\ncrx(0.0109) q[4], q[10];\ncrx(-0.0009) q[4], q[9];\ncrx(-0.0047) q[4], q[8];\ncrx(0.0047) q[4], q[7];\ncrx(-0.0042) q[4], q[6];\ncrx(0.0017) q[4], q[5];\ncrx(-0.0038) q[4], q[3];\ncrx(0.139) q[4], q[2];\ncrx(-0.0016) q[4], q[1];\ncrx(0.0033) q[4], q[0];\ncrx(0.0109) q[3], q[10];\ncrx(-0.0009) q[3], q[9];\ncrx(-0.0047) q[3], q[8];\ncrx(0.0047) q[3], q[7];\ncrx(-0.0042) q[3], q[6];\ncrx(0.0017) q[3], q[5];\ncrx(-0.0005) q[3], q[4];\ncrx(0.139) q[3], q[2];\ncrx(-0.0016) q[3], q[1];\ncrx(0.0033) q[3], q[0];\ncrx(0.0109) q[2], q[10];\ncrx(-0.0009) q[2], q[9];\ncrx(-0.0047) q[2], q[8];\ncrx(0.0047) q[2], q[7];\ncrx(-0.0042) q[2], q[6];\ncrx(0.0017) q[2], q[5];\ncrx(-0.0005) q[2], q[4];\ncrx(-0.0038) q[2], q[3];\ncrx(-0.0016) q[2], q[1];\ncrx(0.0033) q[2], q[0];\ncrx(0.0109) q[1], q[10];\ncrx(-0.0009) q[1], q[9];\ncrx(-0.0047) q[1], q[8];\ncrx(0.0047) q[1], q[7];\ncrx(-0.0042) q[1], q[6];\ncrx(0.0017) q[1], q[5];\ncrx(-0.0005) q[1], q[4];\ncrx(-0.0038) q[1], q[3];\ncrx(0.139) q[1], q[2];\ncrx(0.0033) q[1], q[0];\ncrx(0.0109) q[0], q[10];\ncrx(-0.0009) q[0], q[9];\ncrx(-0.0047) q[0], q[8];\ncrx(0.0047) q[0], q[7];\ncrx(-0.0042) q[0], q[6];\ncrx(0.0017) q[0], q[5];\ncrx(-0.0005) q[0], q[4];\ncrx(-0.0038) q[0], q[3];\ncrx(0.139) q[0], q[2];\ncrx(-0.0016) q[0], q[1];\nrx(-0.0235) q[0];\nrz(-0.0109) q[0];\nrx(-0.0002) q[1];\nrz(0.2323) q[1];\nrx(0.3005) q[2];\nrz(0.0005) q[2];\nrx(-0.0031) q[3];\nrz(0.2361) q[3];\nrx(-0.0031) q[4];\nrz(0.2358) q[4];\nrx(-0.0018) q[5];\nrz(0.2108) q[5];\nrx(-0.0066) q[6];\nrz(0.226) q[6];\nrx(-0.0065) q[7];\nrz(0.2335) q[7];\nrx(-0.006) q[8];\nrz(0.2382) q[8];\nrx(-0.0037) q[9];\nrz(0.2379) q[9];\nrx(0.029) q[10];\nrz(0.2199) q[10];\nrx(-0.0192) q[0];\nrz(-0.0067) q[0];\nrx(-0.0004) q[1];\nrz(0.2366) q[1];\nrx(0.3079) q[2];\nrz(0.0002) q[2];\nrx(-0.0061) q[3];\nrz(0.2307) q[3];\nrx(0.0002) q[4];\nrz(0.2296) q[4];\nrx(-0.0031) q[5];\nrz(0.1999) q[5];\nrx(-0.0041) q[6];\nrz(0.2216) q[6];\nrx(-0.0063) q[7];\nrz(0.2294) q[7];\nrx(-0.0038) q[8];\nrz(0.2413) q[8];\nrx(-0.0026) q[9];\nrz(0.2375) q[9];\nrx(0.0323) q[10];\nrz(0.2219) q[10];\ncrx(-0.0034) q[10], q[9];\ncrx(-0.0021) q[10], q[8];\ncrx(0.0058) q[10], q[7];\ncrx(-0.0011) q[10], q[6];\ncrx(-0.0004) q[10], q[5];\ncrx(-0.0008) q[10], q[4];\ncrx(-0.0025) q[10], q[3];\ncrx(0.2441) q[10], q[2];\ncrx(-0.0012) q[10], q[1];\ncrx(0.0011) q[10], q[0];\ncrx(0.0026) q[9], q[10];\ncrx(-0.0021) q[9], q[8];\ncrx(0.0058) q[9], q[7];\ncrx(-0.0011) q[9], q[6];\ncrx(-0.0004) q[9], q[5];\ncrx(-0.0008) q[9], q[4];\ncrx(-0.0025) q[9], q[3];\ncrx(0.2441) q[9], q[2];\ncrx(-0.0012) q[9], q[1];\ncrx(0.0011) q[9], q[0];\ncrx(0.0026) q[8], q[10];\ncrx(-0.0034) q[8], q[9];\ncrx(0.0058) q[8], q[7];\ncrx(-0.0011) q[8], q[6];\ncrx(-0.0004) q[8], q[5];\ncrx(-0.0008) q[8], q[4];\ncrx(-0.0025) q[8], q[3];\ncrx(0.2441) q[8], q[2];\ncrx(-0.0012) q[8], q[1];\ncrx(0.0011) q[8], q[0];\ncrx(0.0026) q[7], q[10];\ncrx(-0.0034) q[7], q[9];\ncrx(-0.0021) q[7], q[8];\ncrx(-0.0011) q[7], q[6];\ncrx(-0.0004) q[7], q[5];\ncrx(-0.0008) q[7], q[4];\ncrx(-0.0025) q[7], q[3];\ncrx(0.2441) q[7], q[2];\ncrx(-0.0012) q[7], q[1];\ncrx(0.0011) q[7], q[0];\ncrx(0.0026) q[6], q[10];\ncrx(-0.0034) q[6], q[9];\ncrx(-0.0021) q[6], q[8];\ncrx(0.0058) q[6], q[7];\ncrx(-0.0004) q[6], q[5];\ncrx(-0.0008) q[6], q[4];\ncrx(-0.0025) q[6], q[3];\ncrx(0.2441) q[6], q[2];\ncrx(-0.0012) q[6], q[1];\ncrx(0.0011) q[6], q[0];\ncrx(0.0026) q[5], q[10];\ncrx(-0.0034) q[5], q[9];\ncrx(-0.0021) q[5], q[8];\ncrx(0.0058) q[5], q[7];\ncrx(-0.0011) q[5], q[6];\ncrx(-0.0008) q[5], q[4];\ncrx(-0.0025) q[5], q[3];\ncrx(0.2441) q[5], q[2];\ncrx(-0.0012) q[5], q[1];\ncrx(0.0011) q[5], q[0];\ncrx(0.0026) q[4], q[10];\ncrx(-0.0034) q[4], q[9];\ncrx(-0.0021) q[4], q[8];\ncrx(0.0058) q[4], q[7];\ncrx(-0.0011) q[4], q[6];\ncrx(-0.0004) q[4], q[5];\ncrx(-0.0025) q[4], q[3];\ncrx(0.2441) q[4], q[2];\ncrx(-0.0012) q[4], q[1];\ncrx(0.0011) q[4], q[0];\ncrx(0.0026) q[3], q[10];\ncrx(-0.0034) q[3], q[9];\ncrx(-0.0021) q[3], q[8];\ncrx(0.0058) q[3], q[7];\ncrx(-0.0011) q[3], q[6];\ncrx(-0.0004) q[3], q[5];\ncrx(-0.0008) q[3], q[4];\ncrx(0.2441) q[3], q[2];\ncrx(-0.0012) q[3], q[1];\ncrx(0.0011) q[3], q[0];\ncrx(0.0026) q[2], q[10];\ncrx(-0.0034) q[2], q[9];\ncrx(-0.0021) q[2], q[8];\ncrx(0.0058) q[2], q[7];\ncrx(-0.0011) q[2], q[6];\ncrx(-0.0004) q[2], q[5];\ncrx(-0.0008) q[2], q[4];\ncrx(-0.0025) q[2], q[3];\ncrx(-0.0012) q[2], q[1];\ncrx(0.0011) q[2], q[0];\ncrx(0.0026) q[1], q[10];\ncrx(-0.0034) q[1], q[9];\ncrx(-0.0021) q[1], q[8];\ncrx(0.0058) q[1], q[7];\ncrx(-0.0011) q[1], q[6];\ncrx(-0.0004) q[1], q[5];\ncrx(-0.0008) q[1], q[4];\ncrx(-0.0025) q[1], q[3];\ncrx(0.2441) q[1], q[2];\ncrx(0.0011) q[1], q[0];\ncrx(0.0026) q[0], q[10];\ncrx(-0.0034) q[0], q[9];\ncrx(-0.0021) q[0], q[8];\ncrx(0.0058) q[0], q[7];\ncrx(-0.0011) q[0], q[6];\ncrx(-0.0004) q[0], q[5];\ncrx(-0.0008) q[0], q[4];\ncrx(-0.0025) q[0], q[3];\ncrx(0.2441) q[0], q[2];\ncrx(-0.0012) q[0], q[1];\nrx(0.0069) q[0];\nrz(0.0109) q[0];\nrx(-0.0044) q[1];\nrz(0.2374) q[1];\nrx(0.3022) q[2];\nrz(0.0008) q[2];\nrx(0.0008) q[3];\nrz(0.2368) q[3];\nrx(-0.0027) q[4];\nrz(0.23) q[4];\nrx(-0.0049) q[5];\nrz(0.1612) q[5];\nrx(-0.0007) q[6];\nrz(0.2281) q[6];\nrx(-0.0016) q[7];\nrz(0.2368) q[7];\nrx(0.0021) q[8];\nrz(0.238) q[8];\nrx(-0.0004) q[9];\nrz(0.2374) q[9];\nrx(-0.0032) q[10];\nrz(0.2147) q[10];\nrx(0.0127) q[0];\nrz(0.0216) q[0];\nrx(0) q[1];\nrz(0.2019) q[1];\nrx(0.3015) q[2];\nrz(0.0002) q[2];\nrx(-0.0031) q[3];\nrz(0.2423) q[3];\nrx(-0.0027) q[4];\nrz(0.2352) q[4];\nrx(-0.0006) q[5];\nrz(0.1551) q[5];\nrx(-0.0013) q[6];\nrz(0.2335) q[6];\nrx(-0.0082) q[7];\nrz(0.1867) q[7];\nrx(-0.002) q[8];\nrz(0.2456) q[8];\nrx(-0.0002) q[9];\nrz(0.2092) q[9];\nrx(-0.0065) q[10];\nrz(0.2223) q[10];\ncrx(-0.0055) q[10], q[9];\ncrx(-0.0047) q[10], q[8];\ncrx(0.0064) q[10], q[7];\ncrx(-0.0046) q[10], q[6];\ncrx(-0.0022) q[10], q[5];\ncrx(-0.0034) q[10], q[4];\ncrx(-0.0053) q[10], q[3];\ncrx(0.2313) q[10], q[2];\ncrx(-0.006) q[10], q[1];\ncrx(0.0361) q[10], q[0];\ncrx(-0.0056) q[9], q[10];\ncrx(-0.0047) q[9], q[8];\ncrx(0.0064) q[9], q[7];\ncrx(-0.0046) q[9], q[6];\ncrx(-0.0022) q[9], q[5];\ncrx(-0.0034) q[9], q[4];\ncrx(-0.0053) q[9], q[3];\ncrx(0.2313) q[9], q[2];\ncrx(-0.006) q[9], q[1];\ncrx(0.0361) q[9], q[0];\ncrx(-0.0056) q[8], q[10];\ncrx(-0.0055) q[8], q[9];\ncrx(0.0064) q[8], q[7];\ncrx(-0.0046) q[8], q[6];\ncrx(-0.0022) q[8], q[5];\ncrx(-0.0034) q[8], q[4];\ncrx(-0.0053) q[8], q[3];\ncrx(0.2313) q[8], q[2];\ncrx(-0.006) q[8], q[1];\ncrx(0.0361) q[8], q[0];\ncrx(-0.0056) q[7], q[10];\ncrx(-0.0055) q[7], q[9];\ncrx(-0.0047) q[7], q[8];\ncrx(-0.0046) q[7], q[6];\ncrx(-0.0022) q[7], q[5];\ncrx(-0.0034) q[7], q[4];\ncrx(-0.0053) q[7], q[3];\ncrx(0.2313) q[7], q[2];\ncrx(-0.006) q[7], q[1];\ncrx(0.0361) q[7], q[0];\ncrx(-0.0056) q[6], q[10];\ncrx(-0.0055) q[6], q[9];\ncrx(-0.0047) q[6], q[8];\ncrx(0.0064) q[6], q[7];\ncrx(-0.0022) q[6], q[5];\ncrx(-0.0034) q[6], q[4];\ncrx(-0.0053) q[6], q[3];\ncrx(0.2313) q[6], q[2];\ncrx(-0.006) q[6], q[1];\ncrx(0.0361) q[6], q[0];\ncrx(-0.0056) q[5], q[10];\ncrx(-0.0055) q[5], q[9];\ncrx(-0.0047) q[5], q[8];\ncrx(0.0064) q[5], q[7];\ncrx(-0.0046) q[5], q[6];\ncrx(-0.0034) q[5], q[4];\ncrx(-0.0053) q[5], q[3];\ncrx(0.2313) q[5], q[2];\ncrx(-0.006) q[5], q[1];\ncrx(0.0361) q[5], q[0];\ncrx(-0.0056) q[4], q[10];\ncrx(-0.0055) q[4], q[9];\ncrx(-0.0047) q[4], q[8];\ncrx(0.0064) q[4], q[7];\ncrx(-0.0046) q[4], q[6];\ncrx(-0.0022) q[4], q[5];\ncrx(-0.0053) q[4], q[3];\ncrx(0.2313) q[4], q[2];\ncrx(-0.006) q[4], q[1];\ncrx(0.0361) q[4], q[0];\ncrx(-0.0056) q[3], q[10];\ncrx(-0.0055) q[3], q[9];\ncrx(-0.0047) q[3], q[8];\ncrx(0.0064) q[3], q[7];\ncrx(-0.0046) q[3], q[6];\ncrx(-0.0022) q[3], q[5];\ncrx(-0.0034) q[3], q[4];\ncrx(0.2313) q[3], q[2];\ncrx(-0.006) q[3], q[1];\ncrx(0.0361) q[3], q[0];\ncrx(-0.0056) q[2], q[10];\ncrx(-0.0055) q[2], q[9];\ncrx(-0.0047) q[2], q[8];\ncrx(0.0064) q[2], q[7];\ncrx(-0.0046) q[2], q[6];\ncrx(-0.0022) q[2], q[5];\ncrx(-0.0034) q[2], q[4];\ncrx(-0.0053) q[2], q[3];\ncrx(-0.006) q[2], q[1];\ncrx(0.0361) q[2], q[0];\ncrx(-0.0056) q[1], q[10];\ncrx(-0.0055) q[1], q[9];\ncrx(-0.0047) q[1], q[8];\ncrx(0.0064) q[1], q[7];\ncrx(-0.0046) q[1], q[6];\ncrx(-0.0022) q[1], q[5];\ncrx(-0.0034) q[1], q[4];\ncrx(-0.0053) q[1], q[3];\ncrx(0.2313) q[1], q[2];\ncrx(0.0361) q[1], q[0];\ncrx(-0.0056) q[0], q[10];\ncrx(-0.0055) q[0], q[9];\ncrx(-0.0047) q[0], q[8];\ncrx(0.0064) q[0], q[7];\ncrx(-0.0046) q[0], q[6];\ncrx(-0.0022) q[0], q[5];\ncrx(-0.0034) q[0], q[4];\ncrx(-0.0053) q[0], q[3];\ncrx(0.2313) q[0], q[2];\ncrx(-0.006) q[0], q[1];\nrx(0.0482) q[0];\nrz(0.0058) q[0];\nrx(-0.0054) q[1];\nrz(0.0074) q[1];\nrx(0.3043) q[2];\nrz(0.0067) q[2];\nrx(-0.003) q[3];\nrz(0.0009) q[3];\nrx(-0.0008) q[4];\nrz(0.005) q[4];\nrx(0.0018) q[5];\nrz(0.0014) q[5];\nrx(-0.003) q[6];\nrz(0.0001) q[6];\nrx(0.0017) q[7];\nrz(0.0079) q[7];\nrx(-0.0035) q[8];\nrz(0.0061) q[8];\nrx(-0.006) q[9];\nrz(0.0017) q[9];\nrx(-0.0132) q[10];\nrz(0.0084) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x6) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\ncrx(x13) q[10], q[9];\ncrx(x21) q[10], q[8];\ncrx(x22) q[10], q[7];\ncrx(x23) q[10], q[6];\ncrx(x24) q[10], q[5];\ncrx(x25) q[10], q[4];\ncrx(x26) q[10], q[3];\ncrx(x27) q[10], q[2];\ncrx(x28) q[10], q[1];\ncrx(x29) q[10], q[0];\ncrx(x30) q[9], q[10];\ncrx(x21) q[9], q[8];\ncrx(x22) q[9], q[7];\ncrx(x23) q[9], q[6];\ncrx(x24) q[9], q[5];\ncrx(x25) q[9], q[4];\ncrx(x26) q[9], q[3];\ncrx(x27) q[9], q[2];\ncrx(x28) q[9], q[1];\ncrx(x29) q[9], q[0];\ncrx(x30) q[8], q[10];\ncrx(x13) q[8], q[9];\ncrx(x22) q[8], q[7];\ncrx(x23) q[8], q[6];\ncrx(x24) q[8], q[5];\ncrx(x25) q[8], q[4];\ncrx(x26) q[8], q[3];\ncrx(x27) q[8], q[2];\ncrx(x28) q[8], q[1];\ncrx(x29) q[8], q[0];\ncrx(x30) q[7], q[10];\ncrx(x13) q[7], q[9];\ncrx(x21) q[7], q[8];\ncrx(x23) q[7], q[6];\ncrx(x24) q[7], q[5];\ncrx(x25) q[7], q[4];\ncrx(x26) q[7], q[3];\ncrx(x27) q[7], q[2];\ncrx(x28) q[7], q[1];\ncrx(x29) q[7], q[0];\ncrx(x30) q[6], q[10];\ncrx(x13) q[6], q[9];\ncrx(x21) q[6], q[8];\ncrx(x22) q[6], q[7];\ncrx(x24) q[6], q[5];\ncrx(x25) q[6], q[4];\ncrx(x26) q[6], q[3];\ncrx(x27) q[6], q[2];\ncrx(x28) q[6], q[1];\ncrx(x29) q[6], q[0];\ncrx(x30) q[5], q[10];\ncrx(x13) q[5], q[9];\ncrx(x21) q[5], q[8];\ncrx(x22) q[5], q[7];\ncrx(x23) q[5], q[6];\ncrx(x25) q[5], q[4];\ncrx(x26) q[5], q[3];\ncrx(x27) q[5], q[2];\ncrx(x28) q[5], q[1];\ncrx(x29) q[5], q[0];\ncrx(x30) q[4], q[10];\ncrx(x13) q[4], q[9];\ncrx(x21) q[4], q[8];\ncrx(x22) q[4], q[7];\ncrx(x23) q[4], q[6];\ncrx(x24) q[4], q[5];\ncrx(x26) q[4], q[3];\ncrx(x27) q[4], q[2];\ncrx(x28) q[4], q[1];\ncrx(x29) q[4], q[0];\ncrx(x30) q[3], q[10];\ncrx(x13) q[3], q[9];\ncrx(x21) q[3], q[8];\ncrx(x22) q[3], q[7];\ncrx(x23) q[3], q[6];\ncrx(x24) q[3], q[5];\ncrx(x25) q[3], q[4];\ncrx(x27) q[3], q[2];\ncrx(x28) q[3], q[1];\ncrx(x29) q[3], q[0];\ncrx(x30) q[2], q[10];\ncrx(x13) q[2], q[9];\ncrx(x21) q[2], q[8];\ncrx(x22) q[2], q[7];\ncrx(x23) q[2], q[6];\ncrx(x24) q[2], q[5];\ncrx(x25) q[2], q[4];\ncrx(x26) q[2], q[3];\ncrx(x28) q[2], q[1];\ncrx(x29) q[2], q[0];\ncrx(x30) q[1], q[10];\ncrx(x13) q[1], q[9];\ncrx(x21) q[1], q[8];\ncrx(x22) q[1], q[7];\ncrx(x23) q[1], q[6];\ncrx(x24) q[1], q[5];\ncrx(x25) q[1], q[4];\ncrx(x26) q[1], q[3];\ncrx(x27) q[1], q[2];\ncrx(x29) q[1], q[0];\ncrx(x30) q[0], q[10];\ncrx(x13) q[0], q[9];\ncrx(x21) q[0], q[8];\ncrx(x22) q[0], q[7];\ncrx(x23) q[0], q[6];\ncrx(x24) q[0], q[5];\ncrx(x25) q[0], q[4];\ncrx(x26) q[0], q[3];\ncrx(x27) q[0], q[2];\ncrx(x28) q[0], q[1];\nrx(x31) q[0];\nrz(x32) q[0];\nrx(x33) q[1];\nrz(x34) q[1];\nrx(x35) q[2];\nrz(x36) q[2];\nrx(x37) q[3];\nrz(x38) q[3];\nrx(x37) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nrx(x46) q[8];\nrz(x18) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nrx(x49) q[10];\nrz(x50) q[10];\nrx(x51) q[0];\nrz(x52) q[0];\nrx(x53) q[1];\nrz(x54) q[1];\nrx(x55) q[2];\nrz(x56) q[2];\nrx(x57) q[3];\nrz(x58) q[3];\nrx(x56) q[4];\nrz(x59) q[4];\nrx(x37) q[5];\nrz(x60) q[5];\nrx(x61) q[6];\nrz(x62) q[6];\nrx(x63) q[7];\nrz(x64) q[7];\nrx(x26) q[8];\nrz(x65) q[8];\nrx(x66) q[9];\nrz(x67) q[9];\nrx(x68) q[10];\nrz(x69) q[10];\ncrx(x70) q[10], q[9];\ncrx(x71) q[10], q[8];\ncrx(x72) q[10], q[7];\ncrx(x73) q[10], q[6];\ncrx(x53) q[10], q[5];\ncrx(x15) q[10], q[4];\ncrx(x6) q[10], q[3];\ncrx(x74) q[10], q[2];\ncrx(x75) q[10], q[1];\ncrx(x76) q[10], q[0];\ncrx(x77) q[9], q[10];\ncrx(x71) q[9], q[8];\ncrx(x72) q[9], q[7];\ncrx(x73) q[9], q[6];\ncrx(x53) q[9], q[5];\ncrx(x15) q[9], q[4];\ncrx(x6) q[9], q[3];\ncrx(x74) q[9], q[2];\ncrx(x75) q[9], q[1];\ncrx(x76) q[9], q[0];\ncrx(x77) q[8], q[10];\ncrx(x70) q[8], q[9];\ncrx(x72) q[8], q[7];\ncrx(x73) q[8], q[6];\ncrx(x53) q[8], q[5];\ncrx(x15) q[8], q[4];\ncrx(x6) q[8], q[3];\ncrx(x74) q[8], q[2];\ncrx(x75) q[8], q[1];\ncrx(x76) q[8], q[0];\ncrx(x77) q[7], q[10];\ncrx(x70) q[7], q[9];\ncrx(x71) q[7], q[8];\ncrx(x73) q[7], q[6];\ncrx(x53) q[7], q[5];\ncrx(x15) q[7], q[4];\ncrx(x6) q[7], q[3];\ncrx(x74) q[7], q[2];\ncrx(x75) q[7], q[1];\ncrx(x76) q[7], q[0];\ncrx(x77) q[6], q[10];\ncrx(x70) q[6], q[9];\ncrx(x71) q[6], q[8];\ncrx(x72) q[6], q[7];\ncrx(x53) q[6], q[5];\ncrx(x15) q[6], q[4];\ncrx(x6) q[6], q[3];\ncrx(x74) q[6], q[2];\ncrx(x75) q[6], q[1];\ncrx(x76) q[6], q[0];\ncrx(x77) q[5], q[10];\ncrx(x70) q[5], q[9];\ncrx(x71) q[5], q[8];\ncrx(x72) q[5], q[7];\ncrx(x73) q[5], q[6];\ncrx(x15) q[5], q[4];\ncrx(x6) q[5], q[3];\ncrx(x74) q[5], q[2];\ncrx(x75) q[5], q[1];\ncrx(x76) q[5], q[0];\ncrx(x77) q[4], q[10];\ncrx(x70) q[4], q[9];\ncrx(x71) q[4], q[8];\ncrx(x72) q[4], q[7];\ncrx(x73) q[4], q[6];\ncrx(x53) q[4], q[5];\ncrx(x6) q[4], q[3];\ncrx(x74) q[4], q[2];\ncrx(x75) q[4], q[1];\ncrx(x76) q[4], q[0];\ncrx(x77) q[3], q[10];\ncrx(x70) q[3], q[9];\ncrx(x71) q[3], q[8];\ncrx(x72) q[3], q[7];\ncrx(x73) q[3], q[6];\ncrx(x53) q[3], q[5];\ncrx(x15) q[3], q[4];\ncrx(x74) q[3], q[2];\ncrx(x75) q[3], q[1];\ncrx(x76) q[3], q[0];\ncrx(x77) q[2], q[10];\ncrx(x70) q[2], q[9];\ncrx(x71) q[2], q[8];\ncrx(x72) q[2], q[7];\ncrx(x73) q[2], q[6];\ncrx(x53) q[2], q[5];\ncrx(x15) q[2], q[4];\ncrx(x6) q[2], q[3];\ncrx(x75) q[2], q[1];\ncrx(x76) q[2], q[0];\ncrx(x77) q[1], q[10];\ncrx(x70) q[1], q[9];\ncrx(x71) q[1], q[8];\ncrx(x72) q[1], q[7];\ncrx(x73) q[1], q[6];\ncrx(x53) q[1], q[5];\ncrx(x15) q[1], q[4];\ncrx(x6) q[1], q[3];\ncrx(x74) q[1], q[2];\ncrx(x76) q[1], q[0];\ncrx(x77) q[0], q[10];\ncrx(x70) q[0], q[9];\ncrx(x71) q[0], q[8];\ncrx(x72) q[0], q[7];\ncrx(x73) q[0], q[6];\ncrx(x53) q[0], q[5];\ncrx(x15) q[0], q[4];\ncrx(x6) q[0], q[3];\ncrx(x74) q[0], q[2];\ncrx(x75) q[0], q[1];\nrx(x78) q[0];\nrz(x30) q[0];\nrx(x79) q[1];\nrz(x80) q[1];\nrx(x81) q[2];\nrz(x82) q[2];\nrx(x82) q[3];\nrz(x83) q[3];\nrx(x84) q[4];\nrz(x85) q[4];\nrx(x86) q[5];\nrz(x87) q[5];\nrx(x88) q[6];\nrz(x89) q[6];\nrx(x28) q[7];\nrz(x83) q[7];\nrx(x90) q[8];\nrz(x91) q[8];\nrx(x53) q[9];\nrz(x80) q[9];\nrx(x92) q[10];\nrz(x93) q[10];\nrx(x94) q[0];\nrz(x95) q[0];\nrx(x96) q[1];\nrz(x97) q[1];\nrx(x98) q[2];\nrz(x56) q[2];\nrx(x37) q[3];\nrz(x99) q[3];\nrx(x84) q[4];\nrz(x100) q[4];\nrx(x101) q[5];\nrz(x102) q[5];\nrx(x103) q[6];\nrz(x45) q[6];\nrx(x104) q[7];\nrz(x105) q[7];\nrx(x106) q[8];\nrz(x107) q[8];\nrx(x33) q[9];\nrz(x108) q[9];\nrx(x44) q[10];\nrz(x109) q[10];\ncrx(x110) q[10], q[9];\ncrx(x21) q[10], q[8];\ncrx(x111) q[10], q[7];\ncrx(x112) q[10], q[6];\ncrx(x113) q[10], q[5];\ncrx(x70) q[10], q[4];\ncrx(x114) q[10], q[3];\ncrx(x115) q[10], q[2];\ncrx(x46) q[10], q[1];\ncrx(x116) q[10], q[0];\ncrx(x117) q[9], q[10];\ncrx(x21) q[9], q[8];\ncrx(x111) q[9], q[7];\ncrx(x112) q[9], q[6];\ncrx(x113) q[9], q[5];\ncrx(x70) q[9], q[4];\ncrx(x114) q[9], q[3];\ncrx(x115) q[9], q[2];\ncrx(x46) q[9], q[1];\ncrx(x116) q[9], q[0];\ncrx(x117) q[8], q[10];\ncrx(x110) q[8], q[9];\ncrx(x111) q[8], q[7];\ncrx(x112) q[8], q[6];\ncrx(x113) q[8], q[5];\ncrx(x70) q[8], q[4];\ncrx(x114) q[8], q[3];\ncrx(x115) q[8], q[2];\ncrx(x46) q[8], q[1];\ncrx(x116) q[8], q[0];\ncrx(x117) q[7], q[10];\ncrx(x110) q[7], q[9];\ncrx(x21) q[7], q[8];\ncrx(x112) q[7], q[6];\ncrx(x113) q[7], q[5];\ncrx(x70) q[7], q[4];\ncrx(x114) q[7], q[3];\ncrx(x115) q[7], q[2];\ncrx(x46) q[7], q[1];\ncrx(x116) q[7], q[0];\ncrx(x117) q[6], q[10];\ncrx(x110) q[6], q[9];\ncrx(x21) q[6], q[8];\ncrx(x111) q[6], q[7];\ncrx(x113) q[6], q[5];\ncrx(x70) q[6], q[4];\ncrx(x114) q[6], q[3];\ncrx(x115) q[6], q[2];\ncrx(x46) q[6], q[1];\ncrx(x116) q[6], q[0];\ncrx(x117) q[5], q[10];\ncrx(x110) q[5], q[9];\ncrx(x21) q[5], q[8];\ncrx(x111) q[5], q[7];\ncrx(x112) q[5], q[6];\ncrx(x70) q[5], q[4];\ncrx(x114) q[5], q[3];\ncrx(x115) q[5], q[2];\ncrx(x46) q[5], q[1];\ncrx(x116) q[5], q[0];\ncrx(x117) q[4], q[10];\ncrx(x110) q[4], q[9];\ncrx(x21) q[4], q[8];\ncrx(x111) q[4], q[7];\ncrx(x112) q[4], q[6];\ncrx(x113) q[4], q[5];\ncrx(x114) q[4], q[3];\ncrx(x115) q[4], q[2];\ncrx(x46) q[4], q[1];\ncrx(x116) q[4], q[0];\ncrx(x117) q[3], q[10];\ncrx(x110) q[3], q[9];\ncrx(x21) q[3], q[8];\ncrx(x111) q[3], q[7];\ncrx(x112) q[3], q[6];\ncrx(x113) q[3], q[5];\ncrx(x70) q[3], q[4];\ncrx(x115) q[3], q[2];\ncrx(x46) q[3], q[1];\ncrx(x116) q[3], q[0];\ncrx(x117) q[2], q[10];\ncrx(x110) q[2], q[9];\ncrx(x21) q[2], q[8];\ncrx(x111) q[2], q[7];\ncrx(x112) q[2], q[6];\ncrx(x113) q[2], q[5];\ncrx(x70) q[2], q[4];\ncrx(x114) q[2], q[3];\ncrx(x46) q[2], q[1];\ncrx(x116) q[2], q[0];\ncrx(x117) q[1], q[10];\ncrx(x110) q[1], q[9];\ncrx(x21) q[1], q[8];\ncrx(x111) q[1], q[7];\ncrx(x112) q[1], q[6];\ncrx(x113) q[1], q[5];\ncrx(x70) q[1], q[4];\ncrx(x114) q[1], q[3];\ncrx(x115) q[1], q[2];\ncrx(x116) q[1], q[0];\ncrx(x117) q[0], q[10];\ncrx(x110) q[0], q[9];\ncrx(x21) q[0], q[8];\ncrx(x111) q[0], q[7];\ncrx(x112) q[0], q[6];\ncrx(x113) q[0], q[5];\ncrx(x70) q[0], q[4];\ncrx(x114) q[0], q[3];\ncrx(x115) q[0], q[2];\ncrx(x46) q[0], q[1];\nrx(x118) q[0];\nrz(x72) q[0];\nrx(x119) q[1];\nrz(x120) q[1];\nrx(x121) q[2];\nrz(x122) q[2];\nrx(x123) q[3];\nrz(x124) q[3];\nrx(x15) q[4];\nrz(x125) q[4];\nrx(x126) q[5];\nrz(x127) q[5];\nrx(x123) q[6];\nrz(x128) q[6];\nrx(x24) q[7];\nrz(x129) q[7];\nrx(x130) q[8];\nrz(x131) q[8];\nrx(x46) q[9];\nrz(x24) q[9];\nrx(x132) q[10];\nrz(x133) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["-8691921237965836926","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 4], [8, 2, 4], [2, 4, 5, 6], [8, 2, 3, 6], [1, 2], [1, 4], [3, 4, 5], [0, 6], [0, 5], [0, 8, 2, 3], [1, 6, 7], [8, 1, 3, 7]]}","{\"states\": [127, 126], \"expectation_value\": -2.9517659742172997, \"params\": [0.3956, 0.5137, 0.3914, 0.0045000000000000005, 0.48950000000000005, -0.441, 0.4842, 0.0078000000000000005, 1.2950000000000002, 0.0786, 1.2983, 0.006900000000000001, 1.2945, -0.1841, 1.2746, 0.0029000000000000002, 1.2932000000000001, -0.0945, 1.2925, 0.0086, 1.3035, -0.1469, 1.2978, 0.0046, 1.3046, -0.1363, 1.2962, 0.0009000000000000001, 1.2950000000000002, -0.0733, 1.2969000000000002, 0.0025, 1.2968, -0.2025, 1.1209, 0.0048000000000000004, 0.5143, -0.46240000000000003, -0.0603, -0.0426, 0.030500000000000003, 0.062, 0.051000000000000004, 0.009300000000000001, -0.3881], \"bitstrings\": [\"110000000\", \"110000001\"], \"total_optimization_steps\": 130, \"probabilities\": [0.26385387677430305, 0.2697949689719461], \"optimization_time\": 15.811438083648682}","0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.25 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.45833333333333326 * Z(4) + 0.125 * Z(0) + 0.5416666666666666 * Z(8) + 0.5416666666666667 * Z(2) + 0.29166666666666685 * Z(5) + 0.41666666666666685 * Z(6) + 0.5416666666666666 * Z(3) + 0.29166666666666674 * Z(1) + 0.29166666666666663 * Z(7)",5,9,1,"{\"smallest_eigenvalues\": [-3.7500000000000004], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.7499999999999996, \"smallest_bitstrings\": [\"110000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.3956) q[0];\nrz(0.5137) q[0];\nrx(0.4895) q[1];\nrz(-0.441) q[1];\nrx(1.295) q[2];\nrz(0.0786) q[2];\nrx(1.2945) q[3];\nrz(-0.1841) q[3];\nrx(1.2932) q[4];\nrz(-0.0945) q[4];\nrx(1.3035) q[5];\nrz(-0.1469) q[5];\nrx(1.3046) q[6];\nrz(-0.1363) q[6];\nrx(1.295) q[7];\nrz(-0.0733) q[7];\nrx(1.2968) q[8];\nrz(-0.2025) q[8];\ncrz(0.0093) q[8], q[7];\ncrz(0.051) q[8], q[6];\ncrz(0.062) q[8], q[5];\ncrz(0.0305) q[8], q[4];\ncrz(-0.0426) q[8], q[3];\ncrz(-0.0603) q[8], q[2];\ncrz(-0.4624) q[8], q[1];\ncrz(0.5143) q[8], q[0];\ncrz(-0.3881) q[7], q[8];\ncrz(0.051) q[7], q[6];\ncrz(0.062) q[7], q[5];\ncrz(0.0305) q[7], q[4];\ncrz(-0.0426) q[7], q[3];\ncrz(-0.0603) q[7], q[2];\ncrz(-0.4624) q[7], q[1];\ncrz(0.5143) q[7], q[0];\ncrz(-0.3881) q[6], q[8];\ncrz(0.0093) q[6], q[7];\ncrz(0.062) q[6], q[5];\ncrz(0.0305) q[6], q[4];\ncrz(-0.0426) q[6], q[3];\ncrz(-0.0603) q[6], q[2];\ncrz(-0.4624) q[6], q[1];\ncrz(0.5143) q[6], q[0];\ncrz(-0.3881) q[5], q[8];\ncrz(0.0093) q[5], q[7];\ncrz(0.051) q[5], q[6];\ncrz(0.0305) q[5], q[4];\ncrz(-0.0426) q[5], q[3];\ncrz(-0.0603) q[5], q[2];\ncrz(-0.4624) q[5], q[1];\ncrz(0.5143) q[5], q[0];\ncrz(-0.3881) q[4], q[8];\ncrz(0.0093) q[4], q[7];\ncrz(0.051) q[4], q[6];\ncrz(0.062) q[4], q[5];\ncrz(-0.0426) q[4], q[3];\ncrz(-0.0603) q[4], q[2];\ncrz(-0.4624) q[4], q[1];\ncrz(0.5143) q[4], q[0];\ncrz(-0.3881) q[3], q[8];\ncrz(0.0093) q[3], q[7];\ncrz(0.051) q[3], q[6];\ncrz(0.062) q[3], q[5];\ncrz(0.0305) q[3], q[4];\ncrz(-0.0603) q[3], q[2];\ncrz(-0.4624) q[3], q[1];\ncrz(0.5143) q[3], q[0];\ncrz(-0.3881) q[2], q[8];\ncrz(0.0093) q[2], q[7];\ncrz(0.051) q[2], q[6];\ncrz(0.062) q[2], q[5];\ncrz(0.0305) q[2], q[4];\ncrz(-0.0426) q[2], q[3];\ncrz(-0.4624) q[2], q[1];\ncrz(0.5143) q[2], q[0];\ncrz(-0.3881) q[1], q[8];\ncrz(0.0093) q[1], q[7];\ncrz(0.051) q[1], q[6];\ncrz(0.062) q[1], q[5];\ncrz(0.0305) q[1], q[4];\ncrz(-0.0426) q[1], q[3];\ncrz(-0.0603) q[1], q[2];\ncrz(0.5143) q[1], q[0];\ncrz(-0.3881) q[0], q[8];\ncrz(0.0093) q[0], q[7];\ncrz(0.051) q[0], q[6];\ncrz(0.062) q[0], q[5];\ncrz(0.0305) q[0], q[4];\ncrz(-0.0426) q[0], q[3];\ncrz(-0.0603) q[0], q[2];\ncrz(-0.4624) q[0], q[1];\nrx(0.3914) q[0];\nrz(0.0045) q[0];\nrx(0.4842) q[1];\nrz(0.0078) q[1];\nrx(1.2983) q[2];\nrz(0.0069) q[2];\nrx(1.2746) q[3];\nrz(0.0029) q[3];\nrx(1.2925) q[4];\nrz(0.0086) q[4];\nrx(1.2978) q[5];\nrz(0.0046) q[5];\nrx(1.2962) q[6];\nrz(0.0009) q[6];\nrx(1.2969) q[7];\nrz(0.0025) q[7];\nrx(1.1209) q[8];\nrz(0.0048) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x4) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\ncrz(x17) q[8], q[7];\ncrz(x18) q[8], q[6];\ncrz(x19) q[8], q[5];\ncrz(x20) q[8], q[4];\ncrz(x21) q[8], q[3];\ncrz(x22) q[8], q[2];\ncrz(x23) q[8], q[1];\ncrz(x24) q[8], q[0];\ncrz(x25) q[7], q[8];\ncrz(x18) q[7], q[6];\ncrz(x19) q[7], q[5];\ncrz(x20) q[7], q[4];\ncrz(x21) q[7], q[3];\ncrz(x22) q[7], q[2];\ncrz(x23) q[7], q[1];\ncrz(x24) q[7], q[0];\ncrz(x25) q[6], q[8];\ncrz(x17) q[6], q[7];\ncrz(x19) q[6], q[5];\ncrz(x20) q[6], q[4];\ncrz(x21) q[6], q[3];\ncrz(x22) q[6], q[2];\ncrz(x23) q[6], q[1];\ncrz(x24) q[6], q[0];\ncrz(x25) q[5], q[8];\ncrz(x17) q[5], q[7];\ncrz(x18) q[5], q[6];\ncrz(x20) q[5], q[4];\ncrz(x21) q[5], q[3];\ncrz(x22) q[5], q[2];\ncrz(x23) q[5], q[1];\ncrz(x24) q[5], q[0];\ncrz(x25) q[4], q[8];\ncrz(x17) q[4], q[7];\ncrz(x18) q[4], q[6];\ncrz(x19) q[4], q[5];\ncrz(x21) q[4], q[3];\ncrz(x22) q[4], q[2];\ncrz(x23) q[4], q[1];\ncrz(x24) q[4], q[0];\ncrz(x25) q[3], q[8];\ncrz(x17) q[3], q[7];\ncrz(x18) q[3], q[6];\ncrz(x19) q[3], q[5];\ncrz(x20) q[3], q[4];\ncrz(x22) q[3], q[2];\ncrz(x23) q[3], q[1];\ncrz(x24) q[3], q[0];\ncrz(x25) q[2], q[8];\ncrz(x17) q[2], q[7];\ncrz(x18) q[2], q[6];\ncrz(x19) q[2], q[5];\ncrz(x20) q[2], q[4];\ncrz(x21) q[2], q[3];\ncrz(x23) q[2], q[1];\ncrz(x24) q[2], q[0];\ncrz(x25) q[1], q[8];\ncrz(x17) q[1], q[7];\ncrz(x18) q[1], q[6];\ncrz(x19) q[1], q[5];\ncrz(x20) q[1], q[4];\ncrz(x21) q[1], q[3];\ncrz(x22) q[1], q[2];\ncrz(x24) q[1], q[0];\ncrz(x25) q[0], q[8];\ncrz(x17) q[0], q[7];\ncrz(x18) q[0], q[6];\ncrz(x19) q[0], q[5];\ncrz(x20) q[0], q[4];\ncrz(x21) q[0], q[3];\ncrz(x22) q[0], q[2];\ncrz(x23) q[0], q[1];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x36) q[5];\nrz(x37) q[5];\nrx(x38) q[6];\nrz(x39) q[6];\nrx(x40) q[7];\nrz(x41) q[7];\nrx(x42) q[8];\nrz(x43) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["570854331bf757be794b813c390e4e40","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [120, 113], \"expectation_value\": -5.49989906066681, \"params\": null, \"bitstrings\": [\"0000111\", \"0001110\"], \"total_optimization_steps\": 33, \"probabilities\": [1.6414805265533778e-05, 0.9999303742109635], \"optimization_time\": 33.539820194244385}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(4) + -0.5 * Z(0) + -2.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nry(-1.5681) q[4];\nry(-1.4449) q[3];\nry(1.4449) q[1];\nry(1.4449) q[0];\nry(1.4417) q[2];\nry(1.4417) q[6];\ncry(-0.1259) q[6], q[3];\ncry(0.1217) q[1], q[2];\ncry(0.1216) q[2], q[6];\ncry(0.1188) q[2], q[0];\ncry(0.1186) q[0], q[1];\ncry(-0.0027) q[6], q[4];\ncry(-0.0005) q[2], q[3];\ncry(0.0074) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":17458,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[6];\\ncry(-0.1259) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[6];\\ncry(-0.1259) q[6], q[3];\\ncry(0.1217) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[3];\\nry(1.4449) q[1];\\nry(1.4449) q[0];\\nry(1.4417) q[2];\\nry(1.4417) q[6];\\ncry(-0.1259) q[6], q[3];\\ncry(0.1217) q[1], q[2];\\ncry(0.1216) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nr"}}]
["944d1e10c1efdd3cf89f3eb5fd93918c","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}]}","{\"states\": [3, 27], \"expectation_value\": -0.14650106279280356, \"params\": [[0.0631], [-0.0506]], \"bitstrings\": [\"11100\", \"00100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.03387409723806623, 0.03428281231841307], \"optimization_time\": 1.117746114730835}","-1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3)",5,5,1,"{\"smallest_eigenvalues\": [-4.5, -4.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"00100\", \"11100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(-0.1893) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0631) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(-0.1262) q[3];\ncx q[4], q[3];\nrz(-0.1893) q[1];\nrz(0.1262) q[0];\nrz(-0.1262) q[2];\nrz(0.0631) q[4];\nrz(0.0631) q[3];\nh q[0];\nrz(-0.1012) q[0];\nh q[0];\nh q[1];\nrz(-0.1012) q[1];\nh q[1];\nh q[2];\nrz(-0.1012) q[2];\nh q[2];\nh q[3];\nrz(-0.1012) q[3];\nh q[3];\nh q[4];\nrz(-0.1012) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\nrz(x0) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x1) q[4];\nrz(x1) q[3];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","{\"node\": 2}","{\"circuits\": [], \"gradients\": []}"]
["fcbb218df226fcf3e63ace465c64eb26","community_detection","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 1, \"source\": 0, \"target\": 3}, {\"weight\": 1, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 1, \"source\": 3, \"target\": 4}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 1, \"source\": 4, \"target\": 6}, {\"weight\": 1, \"source\": 4, \"target\": 7}, {\"weight\": 1, \"source\": 5, \"target\": 6}, {\"weight\": 1, \"source\": 5, \"target\": 7}, {\"weight\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [43605, 21930], \"expectation_value\": -0.2002343913578013, \"params\": [[0.24430000000000002], [-0.24100000000000002]], \"bitstrings\": [\"0101010110101010\", \"1010101001010101\"], \"total_optimization_steps\": 30, \"probabilities\": [3.299946304205637e-05, 3.2999463042056385e-05], \"optimization_time\": 17.37796425819397}","0.25 * (Z(0) @ Z(1)) + -0.0009297520661157026 * (Z(2) @ Z(0)) + -0.0009297520661157026 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0009297520661157026 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0009297520661157026 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008264462809917356 * (Z(6) @ Z(0)) + 0.0003099173553719008 * (Z(6) @ Z(2)) + -0.0008264462809917356 * (Z(6) @ Z(4)) + -0.0008264462809917356 * (Z(7) @ Z(1)) + 0.0003099173553719008 * (Z(7) @ Z(3)) + -0.0008264462809917356 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.0004132231404958678 * (Z(8) @ Z(0)) + 0.0004132231404958678 * (Z(8) @ Z(2)) + 0.0004132231404958678 * (Z(8) @ Z(4)) + -0.0005165289256198348 * (Z(8) @ Z(6)) + 0.0004132231404958678 * (Z(9) @ Z(1)) + 0.0004132231404958678 * (Z(9) @ Z(3)) + 0.0004132231404958678 * (Z(9) @ Z(5)) + -0.0005165289256198348 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + 0.0003099173553719008 * (Z(10) @ Z(0)) + 0.0003099173553719008 * (Z(10) @ Z(2)) + 0.0003099173553719008 * (Z(10) @ Z(4)) + 0.0004648760330578513 * (Z(10) @ Z(6)) + -0.0005165289256198348 * (Z(10) @ Z(8)) + 0.0003099173553719008 * (Z(11) @ Z(1)) + 0.0003099173553719008 * (Z(11) @ Z(3)) + 0.0003099173553719008 * (Z(11) @ Z(5)) + 0.0004648760330578513 * (Z(11) @ Z(7)) + -0.0005165289256198348 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + 0.0003099173553719008 * (Z(12) @ Z(0)) + 0.0003099173553719008 * (Z(12) @ Z(2)) + 0.0003099173553719008 * (Z(12) @ Z(4)) + 0.0004648760330578513 * (Z(12) @ Z(6)) + -0.0005165289256198348 * (Z(12) @ Z(8)) + -0.0006714876033057851 * (Z(12) @ Z(10)) + 0.0003099173553719008 * (Z(13) @ Z(1)) + 0.0003099173553719008 * (Z(13) @ Z(3)) + 0.0003099173553719008 * (Z(13) @ Z(5)) + 0.0004648760330578513 * (Z(13) @ Z(7)) + -0.0005165289256198348 * (Z(13) @ Z(9)) + -0.0006714876033057851 * (Z(13) @ Z(11)) + 0.25 * (Z(13) @ Z(12)) + 0.0003099173553719008 * (Z(14) @ Z(0)) + 0.0003099173553719008 * (Z(14) @ Z(2)) + 0.0003099173553719008 * (Z(14) @ Z(4)) + 0.0004648760330578513 * (Z(14) @ Z(6)) + -0.0005165289256198348 * (Z(14) @ Z(8)) + -0.0006714876033057851 * (Z(14) @ Z(10)) + -0.0006714876033057851 * (Z(14) @ Z(12)) + 0.0003099173553719008 * (Z(15) @ Z(1)) + 0.0003099173553719008 * (Z(15) @ Z(3)) + 0.0003099173553719008 * (Z(15) @ Z(5)) + 0.0004648760330578513 * (Z(15) @ Z(7)) + -0.0005165289256198348 * (Z(15) @ Z(9)) + -0.0006714876033057851 * (Z(15) @ Z(11)) + -0.0006714876033057851 * (Z(15) @ Z(13)) + 0.25 * (Z(15) @ Z(14)) + -0.00020661157024798316 * Z(1) + -0.00020661157024798316 * Z(0) + -0.00020661157024798316 * Z(2) + -0.00020661157024798316 * Z(3) + -0.00020661157024798316 * Z(4) + -0.00020661157024798316 * Z(5) + -0.00046487603305780945 * Z(6) + -0.00046487603305780945 * Z(7) + -0.0008264462809917661 * Z(8) + -0.0008264462809917661 * Z(9) + -0.00046487603305786496 * Z(10) + -0.00046487603305786496 * Z(11) + -0.00046487603305786496 * Z(12) + -0.00046487603305786496 * Z(13) + -0.00046487603305786496 * Z(14) + -0.00046487603305786496 * Z(15)",1,16,1,"{\"smallest_eigenvalues\": [-2.022933884297506], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.022933884297475, \"smallest_bitstrings\": [\"1010101001010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(0.1222) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.0005) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0005) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.1222) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.0001) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0005) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.0001) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(-0.0005) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.1222) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(-0.0004) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0002) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0004) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.0004) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(0.0002) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.0004) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.1222) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(0.0002) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(0.0002) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(0.0002) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(-0.0003) q[8];\ncx q[6], q[8];\ncx q[1], q[9];\nrz(0.0002) q[9];\ncx q[1], q[9];\ncx q[3], q[9];\nrz(0.0002) q[9];\ncx q[3], q[9];\ncx q[5], q[9];\nrz(0.0002) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(-0.0003) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(0.1222) q[9];\ncx q[8], q[9];\ncx q[0], q[10];\nrz(0.0002) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(0.0002) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(0.0002) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(0.0002) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(-0.0003) q[10];\ncx q[8], q[10];\ncx q[1], q[11];\nrz(0.0002) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(0.0002) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(0.0002) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(0.0002) q[11];\ncx q[7], q[11];\ncx q[9], q[11];\nrz(-0.0003) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(0.1222) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(0.0002) q[12];\ncx q[0], q[12];\ncx q[2], q[12];\nrz(0.0002) q[12];\ncx q[2], q[12];\ncx q[4], q[12];\nrz(0.0002) q[12];\ncx q[4], q[12];\ncx q[6], q[12];\nrz(0.0002) q[12];\ncx q[6], q[12];\ncx q[8], q[12];\nrz(-0.0003) q[12];\ncx q[8], q[12];\ncx q[10], q[12];\nrz(-0.0003) q[12];\ncx q[10], q[12];\ncx q[1], q[13];\nrz(0.0002) q[13];\ncx q[1], q[13];\ncx q[3], q[13];\nrz(0.0002) q[13];\ncx q[3], q[13];\ncx q[5], q[13];\nrz(0.0002) q[13];\ncx q[5], q[13];\ncx q[7], q[13];\nrz(0.0002) q[13];\ncx q[7], q[13];\ncx q[9], q[13];\nrz(-0.0003) q[13];\ncx q[9], q[13];\ncx q[11], q[13];\nrz(-0.0003) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(0.1222) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(0.0002) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(0.0002) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(0.0002) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(0.0002) q[14];\ncx q[6], q[14];\ncx q[8], q[14];\nrz(-0.0003) q[14];\ncx q[8], q[14];\ncx q[10], q[14];\nrz(-0.0003) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(-0.0003) q[14];\ncx q[12], q[14];\ncx q[1], q[15];\nrz(0.0002) q[15];\ncx q[1], q[15];\ncx q[3], q[15];\nrz(0.0002) q[15];\ncx q[3], q[15];\ncx q[5], q[15];\nrz(0.0002) q[15];\ncx q[5], q[15];\ncx q[7], q[15];\nrz(0.0002) q[15];\ncx q[7], q[15];\ncx q[9], q[15];\nrz(-0.0003) q[15];\ncx q[9], q[15];\ncx q[11], q[15];\nrz(-0.0003) q[15];\ncx q[11], q[15];\ncx q[13], q[15];\nrz(-0.0003) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(0.1222) q[15];\ncx q[14], q[15];\nrz(-0.0001) q[1];\nrz(-0.0001) q[0];\nrz(-0.0001) q[2];\nrz(-0.0001) q[3];\nrz(-0.0001) q[4];\nrz(-0.0001) q[5];\nrz(-0.0002) q[6];\nrz(-0.0002) q[7];\nrz(-0.0004) q[8];\nrz(-0.0004) q[9];\nrz(-0.0002) q[10];\nrz(-0.0002) q[11];\nrz(-0.0002) q[12];\nrz(-0.0002) q[13];\nrz(-0.0002) q[14];\nrz(-0.0002) q[15];\nh q[0];\nrz(-0.482) q[0];\nh q[0];\nh q[1];\nrz(-0.482) q[1];\nh q[1];\nh q[2];\nrz(-0.482) q[2];\nh q[2];\nh q[3];\nrz(-0.482) q[3];\nh q[3];\nh q[4];\nrz(-0.482) q[4];\nh q[4];\nh q[5];\nrz(-0.482) q[5];\nh q[5];\nh q[6];\nrz(-0.482) q[6];\nh q[6];\nh q[7];\nrz(-0.482) q[7];\nh q[7];\nh q[8];\nrz(-0.482) q[8];\nh q[8];\nh q[9];\nrz(-0.482) q[9];\nh q[9];\nh q[10];\nrz(-0.482) q[10];\nh q[10];\nh q[11];\nrz(-0.482) q[11];\nh q[11];\nh q[12];\nrz(-0.482) q[12];\nh q[12];\nh q[13];\nrz(-0.482) q[13];\nh q[13];\nh q[14];\nrz(-0.482) q[14];\nh q[14];\nh q[15];\nrz(-0.482) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x4) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x3) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[3], q[7];\nrz(x4) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x3) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[0], q[8];\nrz(x4) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(x4) q[8];\ncx q[2], q[8];\ncx q[4], q[8];\nrz(x4) q[8];\ncx q[4], q[8];\ncx q[6], q[8];\nrz(x5) q[8];\ncx q[6], q[8];\ncx q[1], q[9];\nrz(x4) q[9];\ncx q[1], q[9];\ncx q[3], q[9];\nrz(x4) q[9];\ncx q[3], q[9];\ncx q[5], q[9];\nrz(x4) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(x5) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(x0) q[9];\ncx q[8], q[9];\ncx q[0], q[10];\nrz(x4) q[10];\ncx q[0], q[10];\ncx q[2], q[10];\nrz(x4) q[10];\ncx q[2], q[10];\ncx q[4], q[10];\nrz(x4) q[10];\ncx q[4], q[10];\ncx q[6], q[10];\nrz(x4) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x5) q[10];\ncx q[8], q[10];\ncx q[1], q[11];\nrz(x4) q[11];\ncx q[1], q[11];\ncx q[3], q[11];\nrz(x4) q[11];\ncx q[3], q[11];\ncx q[5], q[11];\nrz(x4) q[11];\ncx q[5], q[11];\ncx q[7], q[11];\nrz(x4) q[11];\ncx q[7], q[11];\ncx q[9], q[11];\nrz(x5) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[0], q[12];\nrz(x4) q[12];\ncx q[0], q[12];\ncx q[2], q[12];\nrz(x4) q[12];\ncx q[2], q[12];\ncx q[4], q[12];\nrz(x4) q[12];\ncx q[4], q[12];\ncx q[6], q[12];\nrz(x4) q[12];\ncx q[6], q[12];\ncx q[8], q[12];\nrz(x5) q[12];\ncx q[8], q[12];\ncx q[10], q[12];\nrz(x5) q[12];\ncx q[10], q[12];\ncx q[1], q[13];\nrz(x4) q[13];\ncx q[1], q[13];\ncx q[3], q[13];\nrz(x4) q[13];\ncx q[3], q[13];\ncx q[5], q[13];\nrz(x4) q[13];\ncx q[5], q[13];\ncx q[7], q[13];\nrz(x4) q[13];\ncx q[7], q[13];\ncx q[9], q[13];\nrz(x5) q[13];\ncx q[9], q[13];\ncx q[11], q[13];\nrz(x5) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[0], q[14];\nrz(x4) q[14];\ncx q[0], q[14];\ncx q[2], q[14];\nrz(x4) q[14];\ncx q[2], q[14];\ncx q[4], q[14];\nrz(x4) q[14];\ncx q[4], q[14];\ncx q[6], q[14];\nrz(x4) q[14];\ncx q[6], q[14];\ncx q[8], q[14];\nrz(x5) q[14];\ncx q[8], q[14];\ncx q[10], q[14];\nrz(x5) q[14];\ncx q[10], q[14];\ncx q[12], q[14];\nrz(x5) q[14];\ncx q[12], q[14];\ncx q[1], q[15];\nrz(x4) q[15];\ncx q[1], q[15];\ncx q[3], q[15];\nrz(x4) q[15];\ncx q[3], q[15];\ncx q[5], q[15];\nrz(x4) q[15];\ncx q[5], q[15];\ncx q[7], q[15];\nrz(x4) q[15];\ncx q[7], q[15];\ncx q[9], q[15];\nrz(x5) q[15];\ncx q[9], q[15];\ncx q[11], q[15];\nrz(x5) q[15];\ncx q[11], q[15];\ncx q[13], q[15];\nrz(x5) q[15];\ncx q[13], q[15];\ncx q[14], q[15];\nrz(x0) q[15];\ncx q[14], q[15];\nrz(x6) q[1];\nrz(x6) q[0];\nrz(x6) q[2];\nrz(x6) q[3];\nrz(x6) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x7) q[7];\nrz(x3) q[8];\nrz(x3) q[9];\nrz(x7) q[10];\nrz(x7) q[11];\nrz(x7) q[12];\nrz(x7) q[13];\nrz(x7) q[14];\nrz(x7) q[15];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\nh q[9];\nrz(x8) q[9];\nh q[9];\nh q[10];\nrz(x8) q[10];\nh q[10];\nh q[11];\nrz(x8) q[11];\nh q[11];\nh q[12];\nrz(x8) q[12];\nh q[12];\nh q[13];\nrz(x8) q[13];\nh q[13];\nh q[14];\nrz(x8) q[14];\nh q[14];\nh q[15];\nrz(x8) q[15];\nh q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"communities_size\": 4, \"number_of_communities\": 2}","{\"circuits\": [], \"gradients\": []}"]
["ae38f088eb7d13f4a1aaeed7b82ca76a","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 4, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 4, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 5, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 4, \"source\": 5, \"target\": 4}]}","{\"states\": [19, 1], \"expectation_value\": -15.28160671909044, \"params\": null, \"bitstrings\": [\"1101100\", \"1111110\"], \"total_optimization_steps\": 28, \"probabilities\": [0.1492731531067702, 0.8377857041610112], \"optimization_time\": 27.532500982284546}","-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + 1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 1.5 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-16.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.75, \"smallest_bitstrings\": [\"1111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[5], q[2];\nry(1.5708) q[6];\ncry(-1.5708) q[6], q[0];\ncry(-1.5708) q[6], q[4];\nry(-1.5708) q[3];\nry(-1.5708) q[1];\nry(-1.4056) q[2];\nry(-1.2553) q[5];\ncry(-0.801) q[6], q[2];\ncry(-0.017) q[6], q[5];\ncry(-0.1134) q[2], q[5];\nry(-0.0002) q[0];\nry(0.0038) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nry(0.0038) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nry(0.0038) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nry(0.0038) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nry(0.0038) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nry(0.0038) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nry(0.0038) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nry(0.0038) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nry(0.0038) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(1.5708) q[5], q[2];\\nry(1.5708) q[6];\\ncry(-1.5708) q[6], q[0];\\ncry(-1.5708) q[6], q[4];\\nry(-1.5708) q[3];\\nry(-1.5708) q[1];\\nry(-1.4056) q[2];\\nry(-1.2553) q[5];\\ncry(-0.801) q[6], q[2];\\ncry(-0.017) q[6], q[5];\\ncry(-0.1134) q[2], q[5];\\nry(-0.0002) q[0];\\nry(0.0038) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.5131, 1.6179, 2.6156, 1.3607, 1.4921, 2.1244, 1.4986, 3.3154, 1.8495, 1.0783, 0.0132, 0.0117, 0.0108, 0.0106, 0.0092, 0.0077, 0.0076, 0.0059, 0.0058, 0.0057, 0.0055, 0.0051, 0.005, 0.005, 0.0042, 0.0041, 0.0041, 0.0021]}"]
["3591265042354790787","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[2, 5, 6], [0, 1, 6], [1, 2, 4, 5], [0, 2, 4, 6], [0, 3, 5], [1, 3, 5], [0, 3, 4, 6], [0, 4, 5], [1, 3, 6], [2, 3, 4, 5]]}","{\"states\": [15, 124], \"expectation_value\": -1.1278084676152202, \"params\": [[0.25170000000000003], [-0.24480000000000002]], \"bitstrings\": [\"1110000\", \"0000011\"], \"total_optimization_steps\": 30, \"probabilities\": [0.016239855754882675, 0.016935943942424293], \"optimization_time\": 2.7825777530670166}","0.3333333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.25 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.41666666666666663 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.9166666666666665 * Z(5) + 0.5416666666666666 * Z(2) + 0.7500000000000001 * Z(6) + 0.7500000000000001 * Z(0) + 0.6250000000000001 * Z(1) + 0.6666666666666666 * Z(4) + 0.75 * Z(3)",1,7,1,"{\"smallest_eigenvalues\": [-2.666666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.499999999999999, \"smallest_bitstrings\": [\"0000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[5], q[2];\nrz(0.1678) q[2];\ncx q[5], q[2];\ncx q[5], q[6];\nrz(0.0839) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(0.1259) q[6];\ncx q[2], q[6];\ncx q[5], q[0];\nrz(0.1678) q[0];\ncx q[5], q[0];\ncx q[2], q[0];\nrz(0.042) q[0];\ncx q[2], q[0];\ncx q[6], q[0];\nrz(0.1678) q[0];\ncx q[6], q[0];\ncx q[5], q[1];\nrz(0.1259) q[1];\ncx q[5], q[1];\ncx q[2], q[1];\nrz(0.042) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(0.1678) q[1];\ncx q[6], q[1];\ncx q[0], q[1];\nrz(0.0839) q[1];\ncx q[0], q[1];\ncx q[5], q[4];\nrz(0.1678) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(0.1259) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(0.0839) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(0.1678) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(0.042) q[4];\ncx q[1], q[4];\ncx q[5], q[3];\nrz(0.2098) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(0.042) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(0.1259) q[3];\ncx q[6], q[3];\ncx q[0], q[3];\nrz(0.1259) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(0.1678) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(0.0839) q[3];\ncx q[4], q[3];\nrz(0.4614) q[5];\nrz(0.2727) q[2];\nrz(0.3776) q[6];\nrz(0.3776) q[0];\nrz(0.3146) q[1];\nrz(0.3356) q[4];\nrz(0.3776) q[3];\nh q[0];\nrz(-0.4896) q[0];\nh q[0];\nh q[1];\nrz(-0.4896) q[1];\nh q[1];\nh q[2];\nrz(-0.4896) q[2];\nh q[2];\nh q[3];\nrz(-0.4896) q[3];\nh q[3];\nh q[4];\nrz(-0.4896) q[4];\nh q[4];\nh q[5];\nrz(-0.4896) q[5];\nh q[5];\nh q[6];\nrz(-0.4896) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x2) q[6];\ncx q[2], q[6];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[2], q[0];\nrz(x3) q[0];\ncx q[2], q[0];\ncx q[6], q[0];\nrz(x0) q[0];\ncx q[6], q[0];\ncx q[5], q[1];\nrz(x2) q[1];\ncx q[5], q[1];\ncx q[2], q[1];\nrz(x3) q[1];\ncx q[2], q[1];\ncx q[6], q[1];\nrz(x0) q[1];\ncx q[6], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[4];\nrz(x3) q[4];\ncx q[1], q[4];\ncx q[5], q[3];\nrz(x4) q[3];\ncx q[5], q[3];\ncx q[2], q[3];\nrz(x3) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\nrz(x5) q[5];\nrz(x6) q[2];\nrz(x7) q[6];\nrz(x7) q[0];\nrz(x8) q[1];\nrz(x9) q[4];\nrz(x7) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["a09fd8263c85c42edd74a3289977a8b3","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [72, 74], \"expectation_value\": -2.9500049596108946, \"params\": [1.4971, -0.0106, 0.6624, -0.2697, -0.0046, -0.4253, 1.4938, 0.0028, -0.0025, 1.1147, 0.7977000000000001, -0.0095, 0.0922, -0.5341, 1.4903000000000002, -0.055200000000000006, 0.21910000000000002, 0.3196, -0.0006000000000000001, -0.9213, 1.4915, -0.5385, -0.0031000000000000003, 0.9554, 0.8048000000000001, -0.1593, 0.0893, 0.0092, -1.4809, 0.1608, -0.0029000000000000002, 0.5022, -0.0031000000000000003, -1.0222, -1.4791, -0.0969, -0.0038, 0.4806, -0.0034000000000000002, -0.8146], \"bitstrings\": [\"0110111\", \"0110101\"], \"total_optimization_steps\": 150, \"probabilities\": [0.3982050820978501, 0.42575213401905665], \"optimization_time\": 39.19301152229309}","0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -0.125 * Z(0) + -0.5 * Z(1) + -0.125 * Z(3) + -0.625 * Z(4) + -0.625 * Z(2) + -0.5 * Z(5) + -0.5 * Z(6)",4,7,2,"{\"smallest_eigenvalues\": [-3.625], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.625, \"smallest_bitstrings\": [\"0110101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(1.4971) q[0];\nrz(-0.0106) q[0];\nrx(0.6624) q[1];\nrz(-0.2697) q[1];\nrx(-0.0046) q[2];\nrz(-0.4253) q[2];\nrx(1.4938) q[3];\nrz(0.0028) q[3];\nrx(-0.0025) q[4];\nrz(1.1147) q[4];\nrx(0.7977) q[5];\nrz(-0.0095) q[5];\nrx(0.0922) q[6];\nrz(-0.5341) q[6];\ncrx(-1.0222) q[6], q[5];\ncrx(-0.0031) q[5], q[4];\ncrx(0.5022) q[4], q[3];\ncrx(-0.0029) q[3], q[2];\ncrx(0.1608) q[2], q[1];\ncrx(-1.4809) q[1], q[0];\nrx(1.4903) q[0];\nrz(-0.0552) q[0];\nrx(0.2191) q[1];\nrz(0.3196) q[1];\nrx(-0.0006) q[2];\nrz(-0.9213) q[2];\nrx(1.4915) q[3];\nrz(-0.5385) q[3];\nrx(-0.0031) q[4];\nrz(0.9554) q[4];\nrx(0.8048) q[5];\nrz(-0.1593) q[5];\nrx(0.0893) q[6];\nrz(0.0092) q[6];\ncrx(-0.8146) q[6], q[5];\ncrx(-0.0034) q[5], q[4];\ncrx(0.4806) q[4], q[3];\ncrx(-0.0038) q[3], q[2];\ncrx(-0.0969) q[2], q[1];\ncrx(-1.4791) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrx(x14) q[6], q[5];\ncrx(x15) q[5], q[4];\ncrx(x16) q[4], q[3];\ncrx(x17) q[3], q[2];\ncrx(x18) q[2], q[1];\ncrx(x19) q[1], q[0];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x15) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x30) q[5];\nrx(x31) q[6];\nrz(x32) q[6];\ncrx(x33) q[6], q[5];\ncrx(x34) q[5], q[4];\ncrx(x35) q[4], q[3];\ncrx(x36) q[3], q[2];\ncrx(x37) q[2], q[1];\ncrx(x38) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["401c13a1ccbde8a868c526c64a107baa","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 14, \"source\": 2, \"target\": 4}, {\"weight\": 6, \"source\": 4, \"target\": 5}, {\"weight\": 18, \"source\": 4, \"target\": 9}, {\"weight\": 12, \"source\": 5, \"target\": 7}, {\"weight\": 16, \"source\": 5, \"target\": 6}, {\"weight\": 6, \"source\": 6, \"target\": 7}, {\"weight\": 13, \"source\": 6, \"target\": 8}, {\"weight\": 4, \"source\": 8, \"target\": 9}]}","{\"states\": [250, 186], \"expectation_value\": -80.37842730109618, \"params\": [-0.9651000000000001, 0.0347, 0.6957, 0.0046, 1.1569, 0.0158, -0.48160000000000003, 0.001, 1.1972, 0.057800000000000004, 1.1961000000000002, 0.004, 0.9267000000000001, -0.3315, 0.7565000000000001, 0.0064, 1.2045000000000001, 0.062400000000000004, 1.2039, 0.0076, 1.2009, 0.0689, 1.194, 0.0006000000000000001, 1.1961000000000002, 0.07350000000000001, 1.1962000000000002, 0.0077, 0.8533000000000001, 0.011300000000000001, 0.5831000000000001, 0.0059, 1.2038, 0.0737, 1.2044000000000001, 0.0098, 1.1683000000000001, -0.0212, 0.5774, 0.0068000000000000005, 0.0762, -0.1522, 0.26480000000000004, -0.228, 0.188, 0.19490000000000002, 0.2066, -0.38280000000000003, 0.1962, -0.45780000000000004], \"bitstrings\": [\"1100000101\", \"1101000101\"], \"total_optimization_steps\": 120, \"probabilities\": [0.17021625402668653, 0.5234636307754671], \"optimization_time\": 71.51246070861816}","5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 12.5 * Z(2) + -3.5 * Z(1) + 14.5 * Z(4) + 14.0 * Z(3) + 19.0 * Z(5) + 11.5 * Z(6) + 8.5 * Z(7) + 12.0 * Z(8) + 2.0 * Z(9) + -10.5 * Z(0)",6,10,1,"{\"smallest_eigenvalues\": [-97.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -81.5, \"smallest_bitstrings\": [\"1101000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.9651) q[0];\nrz(0.0347) q[0];\nrx(1.1569) q[1];\nrz(0.0158) q[1];\nrx(1.1972) q[2];\nrz(0.0578) q[2];\nrx(0.9267) q[3];\nrz(-0.3315) q[3];\nrx(1.2045) q[4];\nrz(0.0624) q[4];\nrx(1.2009) q[5];\nrz(0.0689) q[5];\nrx(1.1961) q[6];\nrz(0.0735) q[6];\nrx(0.8533) q[7];\nrz(0.0113) q[7];\nrx(1.2038) q[8];\nrz(0.0737) q[8];\nrx(1.1683) q[9];\nrz(-0.0212) q[9];\ncrx(0.1962) q[9], q[8];\ncrx(-0.3828) q[9], q[7];\ncrx(0.2066) q[9], q[6];\ncrx(0.1949) q[9], q[5];\ncrx(0.188) q[9], q[4];\ncrx(-0.228) q[9], q[3];\ncrx(0.2648) q[9], q[2];\ncrx(-0.1522) q[9], q[1];\ncrx(0.0762) q[9], q[0];\ncrx(-0.4578) q[8], q[9];\ncrx(-0.3828) q[8], q[7];\ncrx(0.2066) q[8], q[6];\ncrx(0.1949) q[8], q[5];\ncrx(0.188) q[8], q[4];\ncrx(-0.228) q[8], q[3];\ncrx(0.2648) q[8], q[2];\ncrx(-0.1522) q[8], q[1];\ncrx(0.0762) q[8], q[0];\ncrx(-0.4578) q[7], q[9];\ncrx(0.1962) q[7], q[8];\ncrx(0.2066) q[7], q[6];\ncrx(0.1949) q[7], q[5];\ncrx(0.188) q[7], q[4];\ncrx(-0.228) q[7], q[3];\ncrx(0.2648) q[7], q[2];\ncrx(-0.1522) q[7], q[1];\ncrx(0.0762) q[7], q[0];\ncrx(-0.4578) q[6], q[9];\ncrx(0.1962) q[6], q[8];\ncrx(-0.3828) q[6], q[7];\ncrx(0.1949) q[6], q[5];\ncrx(0.188) q[6], q[4];\ncrx(-0.228) q[6], q[3];\ncrx(0.2648) q[6], q[2];\ncrx(-0.1522) q[6], q[1];\ncrx(0.0762) q[6], q[0];\ncrx(-0.4578) q[5], q[9];\ncrx(0.1962) q[5], q[8];\ncrx(-0.3828) q[5], q[7];\ncrx(0.2066) q[5], q[6];\ncrx(0.188) q[5], q[4];\ncrx(-0.228) q[5], q[3];\ncrx(0.2648) q[5], q[2];\ncrx(-0.1522) q[5], q[1];\ncrx(0.0762) q[5], q[0];\ncrx(-0.4578) q[4], q[9];\ncrx(0.1962) q[4], q[8];\ncrx(-0.3828) q[4], q[7];\ncrx(0.2066) q[4], q[6];\ncrx(0.1949) q[4], q[5];\ncrx(-0.228) q[4], q[3];\ncrx(0.2648) q[4], q[2];\ncrx(-0.1522) q[4], q[1];\ncrx(0.0762) q[4], q[0];\ncrx(-0.4578) q[3], q[9];\ncrx(0.1962) q[3], q[8];\ncrx(-0.3828) q[3], q[7];\ncrx(0.2066) q[3], q[6];\ncrx(0.1949) q[3], q[5];\ncrx(0.188) q[3], q[4];\ncrx(0.2648) q[3], q[2];\ncrx(-0.1522) q[3], q[1];\ncrx(0.0762) q[3], q[0];\ncrx(-0.4578) q[2], q[9];\ncrx(0.1962) q[2], q[8];\ncrx(-0.3828) q[2], q[7];\ncrx(0.2066) q[2], q[6];\ncrx(0.1949) q[2], q[5];\ncrx(0.188) q[2], q[4];\ncrx(-0.228) q[2], q[3];\ncrx(-0.1522) q[2], q[1];\ncrx(0.0762) q[2], q[0];\ncrx(-0.4578) q[1], q[9];\ncrx(0.1962) q[1], q[8];\ncrx(-0.3828) q[1], q[7];\ncrx(0.2066) q[1], q[6];\ncrx(0.1949) q[1], q[5];\ncrx(0.188) q[1], q[4];\ncrx(-0.228) q[1], q[3];\ncrx(0.2648) q[1], q[2];\ncrx(0.0762) q[1], q[0];\ncrx(-0.4578) q[0], q[9];\ncrx(0.1962) q[0], q[8];\ncrx(-0.3828) q[0], q[7];\ncrx(0.2066) q[0], q[6];\ncrx(0.1949) q[0], q[5];\ncrx(0.188) q[0], q[4];\ncrx(-0.228) q[0], q[3];\ncrx(0.2648) q[0], q[2];\ncrx(-0.1522) q[0], q[1];\nrx(0.6957) q[0];\nrz(0.0046) q[0];\nrx(-0.4816) q[1];\nrz(0.001) q[1];\nrx(1.1961) q[2];\nrz(0.004) q[2];\nrx(0.7565) q[3];\nrz(0.0064) q[3];\nrx(1.2039) q[4];\nrz(0.0076) q[4];\nrx(1.194) q[5];\nrz(0.0006) q[5];\nrx(1.1962) q[6];\nrz(0.0077) q[6];\nrx(0.5831) q[7];\nrz(0.0059) q[7];\nrx(1.2044) q[8];\nrz(0.0098) q[8];\nrx(0.5774) q[9];\nrz(0.0068) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x12) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 10}\"}","{\"circuits\": [], \"gradients\": []}"]
["cf37919d6a949ddf46d1ba52baad11a7","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 7}]}","{\"states\": [2, 3], \"expectation_value\": -23.638488140766903, \"params\": [[[0.1786, -0.3241], [0.2856, 0.1932], [0.5052, -0.0405], [0.17800000000000002, -0.3244], [0.1731, -0.3252], [0.7986000000000001, 0.0036000000000000003], [0.7975, 0.004]], [[0.1746, 0.0057], [0.28650000000000003, 0.0057], [0.5053, 0.006500000000000001], [0.1762, 0.009000000000000001], [0.17370000000000002, 0.0044], [0.8046000000000001, 0.0081], [0.8002, 0.001]]], \"bitstrings\": [\"1111101\", \"1111100\"], \"total_optimization_steps\": 80, \"probabilities\": [0.16183311940360995, 0.17077087902411253], \"optimization_time\": 4.405518531799316}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.75 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + -10.0 * Z(1) + -10.25 * Z(0) + -10.0 * Z(2) + -10.25 * Z(3) + -10.25 * Z(4) + -9.25 * Z(5) + -9.5 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-30.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -28.75, \"smallest_bitstrings\": [\"1111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.1786) q[0];\nrz(-0.3241) q[0];\nrx(0.2856) q[1];\nrz(0.1932) q[1];\nrx(0.5052) q[2];\nrz(-0.0405) q[2];\nrx(0.178) q[3];\nrz(-0.3244) q[3];\nrx(0.1731) q[4];\nrz(-0.3252) q[4];\nrx(0.7986) q[5];\nrz(0.0036) q[5];\nrx(0.7975) q[6];\nrz(0.004) q[6];\nrx(0.1746) q[0];\nrz(0.0057) q[0];\nrx(0.2865) q[1];\nrz(0.0057) q[1];\nrx(0.5053) q[2];\nrz(0.0065) q[2];\nrx(0.1762) q[3];\nrz(0.009) q[3];\nrx(0.1737) q[4];\nrz(0.0044) q[4];\nrx(0.8046) q[5];\nrz(0.0081) q[5];\nrx(0.8002) q[6];\nrz(0.001) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[0];\nrz(x15) q[0];\nrx(x16) q[1];\nrz(x15) q[1];\nrx(x17) q[2];\nrz(x18) q[2];\nrx(x19) q[3];\nrz(x20) q[3];\nrx(x21) q[4];\nrz(x22) q[4];\nrx(x23) q[5];\nrz(x24) q[5];\nrx(x25) q[6];\nrz(x26) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["93141c357d164fcf2a36ba666f8f01e3","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}]}","{\"states\": [47102, 47070], \"expectation_value\": -10.098819971084307, \"params\": [0.7928000000000001, 0.0378, 0.7268, 0.0073, 0.8048000000000001, 0.023700000000000002, 0.7984, 0.0037, 0.8021, 0.0334, 0.787, 0.0045000000000000005, 0.7952, 0.0932, 0.5872, 0.005, 0.8067000000000001, 0.020900000000000002, 0.8017000000000001, 0.0094, 0.8046000000000001, 0.0419, 0.8045, 0.0099, 0.7994, 0.0476, 0.7961, 0.0015, 0.7999, 0.048400000000000006, 0.7993, 0.0038, 0.8056000000000001, 0.056400000000000006, 0.8004, 0.0027, 0.8015, 0.0511, 0.7979, 0.0055000000000000005, 0.7966000000000001, -0.0325, 0.7928000000000001, 0.0025, 0.8002, 0.059300000000000005, 0.7973, 0.005200000000000001, 0.8043, 0.0592, 0.8031, 0.0086, 0.7939, 0.0589, 0.7958000000000001, 0.001, 0.7989, 0.0648, 0.7998000000000001, 0.006200000000000001, 0.8034, 0.0636, 0.7988000000000001, 0.0068000000000000005, 0.381, 0.7819, 0.3793, 0.3569, 0.7659, 0.2117, 0.20320000000000002, 0.17420000000000002, 0.19640000000000002, 0.22460000000000002, 0.0068000000000000005, 0.19540000000000002, 0.1905, 0.2179, 0.17880000000000001, 0.5815], \"bitstrings\": [\"0100100000000001\", \"0100100000100001\"], \"total_optimization_steps\": 80, \"probabilities\": [0.07932423193391983, 0.0803783490336641], \"optimization_time\": 517.8060619831085}","0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(8) @ Z(0)) + 0.25 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(6)) + 0.25 * (Z(11) @ Z(5)) + 0.25 * (Z(11) @ Z(4)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(6)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(0)) + 0.5 * (Z(13) @ Z(5)) + 0.25 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(9)) + 0.25 * (Z(13) @ Z(8)) + 0.5 * (Z(13) @ Z(14)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(14)) + 0.5 * (Z(12) @ Z(13)) + 0.5 * (Z(15) @ Z(3)) + 0.5 * (Z(15) @ Z(7)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(14)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(15) @ Z(12)) + 2.0 * Z(1) + 2.0 * Z(2) + 2.75 * Z(0) + 2.0 * Z(3) + 2.75 * Z(6) + 2.5 * Z(5) + 2.5 * Z(4) + 2.0 * Z(7) + 2.0 * Z(10) + 2.5 * Z(9) + 2.5 * Z(8) + 2.75 * Z(11) + 2.0 * Z(14) + 2.75 * Z(13) + 2.0 * Z(12) + 2.0 * Z(15)",6,16,1,"{\"smallest_eigenvalues\": [-18.499999999999897], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -18.49999999999988, \"smallest_bitstrings\": [\"0100100000100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nrx(0.7928) q[0];\nrz(0.0378) q[0];\nrx(0.8048) q[1];\nrz(0.0237) q[1];\nrx(0.8021) q[2];\nrz(0.0334) q[2];\nrx(0.7952) q[3];\nrz(0.0932) q[3];\nrx(0.8067) q[4];\nrz(0.0209) q[4];\nrx(0.8046) q[5];\nrz(0.0419) q[5];\nrx(0.7994) q[6];\nrz(0.0476) q[6];\nrx(0.7999) q[7];\nrz(0.0484) q[7];\nrx(0.8056) q[8];\nrz(0.0564) q[8];\nrx(0.8015) q[9];\nrz(0.0511) q[9];\nrx(0.7966) q[10];\nrz(-0.0325) q[10];\nrx(0.8002) q[11];\nrz(0.0593) q[11];\nrx(0.8043) q[12];\nrz(0.0592) q[12];\nrx(0.7939) q[13];\nrz(0.0589) q[13];\nrx(0.7989) q[14];\nrz(0.0648) q[14];\nrx(0.8034) q[15];\nrz(0.0636) q[15];\ncrx(0.1788) q[15], q[14];\ncrx(0.2179) q[15], q[13];\ncrx(0.1905) q[15], q[12];\ncrx(0.1954) q[15], q[11];\ncrx(0.0068) q[15], q[10];\ncrx(0.2246) q[15], q[9];\ncrx(0.1964) q[15], q[8];\ncrx(0.1742) q[15], q[7];\ncrx(0.2032) q[15], q[6];\ncrx(0.2117) q[15], q[5];\ncrx(0.7659) q[15], q[4];\ncrx(0.3569) q[15], q[3];\ncrx(0.3793) q[15], q[2];\ncrx(0.7819) q[15], q[1];\ncrx(0.381) q[15], q[0];\ncrx(0.5815) q[14], q[15];\ncrx(0.2179) q[14], q[13];\ncrx(0.1905) q[14], q[12];\ncrx(0.1954) q[14], q[11];\ncrx(0.0068) q[14], q[10];\ncrx(0.2246) q[14], q[9];\ncrx(0.1964) q[14], q[8];\ncrx(0.1742) q[14], q[7];\ncrx(0.2032) q[14], q[6];\ncrx(0.2117) q[14], q[5];\ncrx(0.7659) q[14], q[4];\ncrx(0.3569) q[14], q[3];\ncrx(0.3793) q[14], q[2];\ncrx(0.7819) q[14], q[1];\ncrx(0.381) q[14], q[0];\ncrx(0.5815) q[13], q[15];\ncrx(0.1788) q[13], q[14];\ncrx(0.1905) q[13], q[12];\ncrx(0.1954) q[13], q[11];\ncrx(0.0068) q[13], q[10];\ncrx(0.2246) q[13], q[9];\ncrx(0.1964) q[13], q[8];\ncrx(0.1742) q[13], q[7];\ncrx(0.2032) q[13], q[6];\ncrx(0.2117) q[13], q[5];\ncrx(0.7659) q[13], q[4];\ncrx(0.3569) q[13], q[3];\ncrx(0.3793) q[13], q[2];\ncrx(0.7819) q[13], q[1];\ncrx(0.381) q[13], q[0];\ncrx(0.5815) q[12], q[15];\ncrx(0.1788) q[12], q[14];\ncrx(0.2179) q[12], q[13];\ncrx(0.1954) q[12], q[11];\ncrx(0.0068) q[12], q[10];\ncrx(0.2246) q[12], q[9];\ncrx(0.1964) q[12], q[8];\ncrx(0.1742) q[12], q[7];\ncrx(0.2032) q[12], q[6];\ncrx(0.2117) q[12], q[5];\ncrx(0.7659) q[12], q[4];\ncrx(0.3569) q[12], q[3];\ncrx(0.3793) q[12], q[2];\ncrx(0.7819) q[12], q[1];\ncrx(0.381) q[12], q[0];\ncrx(0.5815) q[11], q[15];\ncrx(0.1788) q[11], q[14];\ncrx(0.2179) q[11], q[13];\ncrx(0.1905) q[11], q[12];\ncrx(0.0068) q[11], q[10];\ncrx(0.2246) q[11], q[9];\ncrx(0.1964) q[11], q[8];\ncrx(0.1742) q[11], q[7];\ncrx(0.2032) q[11], q[6];\ncrx(0.2117) q[11], q[5];\ncrx(0.7659) q[11], q[4];\ncrx(0.3569) q[11], q[3];\ncrx(0.3793) q[11], q[2];\ncrx(0.7819) q[11], q[1];\ncrx(0.381) q[11], q[0];\ncrx(0.5815) q[10], q[15];\ncrx(0.1788) q[10], q[14];\ncrx(0.2179) q[10], q[13];\ncrx(0.1905) q[10], q[12];\ncrx(0.1954) q[10], q[11];\ncrx(0.2246) q[10], q[9];\ncrx(0.1964) q[10], q[8];\ncrx(0.1742) q[10], q[7];\ncrx(0.2032) q[10], q[6];\ncrx(0.2117) q[10], q[5];\ncrx(0.7659) q[10], q[4];\ncrx(0.3569) q[10], q[3];\ncrx(0.3793) q[10], q[2];\ncrx(0.7819) q[10], q[1];\ncrx(0.381) q[10], q[0];\ncrx(0.5815) q[9], q[15];\ncrx(0.1788) q[9], q[14];\ncrx(0.2179) q[9], q[13];\ncrx(0.1905) q[9], q[12];\ncrx(0.1954) q[9], q[11];\ncrx(0.0068) q[9], q[10];\ncrx(0.1964) q[9], q[8];\ncrx(0.1742) q[9], q[7];\ncrx(0.2032) q[9], q[6];\ncrx(0.2117) q[9], q[5];\ncrx(0.7659) q[9], q[4];\ncrx(0.3569) q[9], q[3];\ncrx(0.3793) q[9], q[2];\ncrx(0.7819) q[9], q[1];\ncrx(0.381) q[9], q[0];\ncrx(0.5815) q[8], q[15];\ncrx(0.1788) q[8], q[14];\ncrx(0.2179) q[8], q[13];\ncrx(0.1905) q[8], q[12];\ncrx(0.1954) q[8], q[11];\ncrx(0.0068) q[8], q[10];\ncrx(0.2246) q[8], q[9];\ncrx(0.1742) q[8], q[7];\ncrx(0.2032) q[8], q[6];\ncrx(0.2117) q[8], q[5];\ncrx(0.7659) q[8], q[4];\ncrx(0.3569) q[8], q[3];\ncrx(0.3793) q[8], q[2];\ncrx(0.7819) q[8], q[1];\ncrx(0.381) q[8], q[0];\ncrx(0.5815) q[7], q[15];\ncrx(0.1788) q[7], q[14];\ncrx(0.2179) q[7], q[13];\ncrx(0.1905) q[7], q[12];\ncrx(0.1954) q[7], q[11];\ncrx(0.0068) q[7], q[10];\ncrx(0.2246) q[7], q[9];\ncrx(0.1964) q[7], q[8];\ncrx(0.2032) q[7], q[6];\ncrx(0.2117) q[7], q[5];\ncrx(0.7659) q[7], q[4];\ncrx(0.3569) q[7], q[3];\ncrx(0.3793) q[7], q[2];\ncrx(0.7819) q[7], q[1];\ncrx(0.381) q[7], q[0];\ncrx(0.5815) q[6], q[15];\ncrx(0.1788) q[6], q[14];\ncrx(0.2179) q[6], q[13];\ncrx(0.1905) q[6], q[12];\ncrx(0.1954) q[6], q[11];\ncrx(0.0068) q[6], q[10];\ncrx(0.2246) q[6], q[9];\ncrx(0.1964) q[6], q[8];\ncrx(0.1742) q[6], q[7];\ncrx(0.2117) q[6], q[5];\ncrx(0.7659) q[6], q[4];\ncrx(0.3569) q[6], q[3];\ncrx(0.3793) q[6], q[2];\ncrx(0.7819) q[6], q[1];\ncrx(0.381) q[6], q[0];\ncrx(0.5815) q[5], q[15];\ncrx(0.1788) q[5], q[14];\ncrx(0.2179) q[5], q[13];\ncrx(0.1905) q[5], q[12];\ncrx(0.1954) q[5], q[11];\ncrx(0.0068) q[5], q[10];\ncrx(0.2246) q[5], q[9];\ncrx(0.1964) q[5], q[8];\ncrx(0.1742) q[5], q[7];\ncrx(0.2032) q[5], q[6];\ncrx(0.7659) q[5], q[4];\ncrx(0.3569) q[5], q[3];\ncrx(0.3793) q[5], q[2];\ncrx(0.7819) q[5], q[1];\ncrx(0.381) q[5], q[0];\ncrx(0.5815) q[4], q[15];\ncrx(0.1788) q[4], q[14];\ncrx(0.2179) q[4], q[13];\ncrx(0.1905) q[4], q[12];\ncrx(0.1954) q[4], q[11];\ncrx(0.0068) q[4], q[10];\ncrx(0.2246) q[4], q[9];\ncrx(0.1964) q[4], q[8];\ncrx(0.1742) q[4], q[7];\ncrx(0.2032) q[4], q[6];\ncrx(0.2117) q[4], q[5];\ncrx(0.3569) q[4], q[3];\ncrx(0.3793) q[4], q[2];\ncrx(0.7819) q[4], q[1];\ncrx(0.381) q[4], q[0];\ncrx(0.5815) q[3], q[15];\ncrx(0.1788) q[3], q[14];\ncrx(0.2179) q[3], q[13];\ncrx(0.1905) q[3], q[12];\ncrx(0.1954) q[3], q[11];\ncrx(0.0068) q[3], q[10];\ncrx(0.2246) q[3], q[9];\ncrx(0.1964) q[3], q[8];\ncrx(0.1742) q[3], q[7];\ncrx(0.2032) q[3], q[6];\ncrx(0.2117) q[3], q[5];\ncrx(0.7659) q[3], q[4];\ncrx(0.3793) q[3], q[2];\ncrx(0.7819) q[3], q[1];\ncrx(0.381) q[3], q[0];\ncrx(0.5815) q[2], q[15];\ncrx(0.1788) q[2], q[14];\ncrx(0.2179) q[2], q[13];\ncrx(0.1905) q[2], q[12];\ncrx(0.1954) q[2], q[11];\ncrx(0.0068) q[2], q[10];\ncrx(0.2246) q[2], q[9];\ncrx(0.1964) q[2], q[8];\ncrx(0.1742) q[2], q[7];\ncrx(0.2032) q[2], q[6];\ncrx(0.2117) q[2], q[5];\ncrx(0.7659) q[2], q[4];\ncrx(0.3569) q[2], q[3];\ncrx(0.7819) q[2], q[1];\ncrx(0.381) q[2], q[0];\ncrx(0.5815) q[1], q[15];\ncrx(0.1788) q[1], q[14];\ncrx(0.2179) q[1], q[13];\ncrx(0.1905) q[1], q[12];\ncrx(0.1954) q[1], q[11];\ncrx(0.0068) q[1], q[10];\ncrx(0.2246) q[1], q[9];\ncrx(0.1964) q[1], q[8];\ncrx(0.1742) q[1], q[7];\ncrx(0.2032) q[1], q[6];\ncrx(0.2117) q[1], q[5];\ncrx(0.7659) q[1], q[4];\ncrx(0.3569) q[1], q[3];\ncrx(0.3793) q[1], q[2];\ncrx(0.381) q[1], q[0];\ncrx(0.5815) q[0], q[15];\ncrx(0.1788) q[0], q[14];\ncrx(0.2179) q[0], q[13];\ncrx(0.1905) q[0], q[12];\ncrx(0.1954) q[0], q[11];\ncrx(0.0068) q[0], q[10];\ncrx(0.2246) q[0], q[9];\ncrx(0.1964) q[0], q[8];\ncrx(0.1742) q[0], q[7];\ncrx(0.2032) q[0], q[6];\ncrx(0.2117) q[0], q[5];\ncrx(0.7659) q[0], q[4];\ncrx(0.3569) q[0], q[3];\ncrx(0.3793) q[0], q[2];\ncrx(0.7819) q[0], q[1];\nrx(0.7268) q[0];\nrz(0.0073) q[0];\nrx(0.7984) q[1];\nrz(0.0037) q[1];\nrx(0.787) q[2];\nrz(0.0045) q[2];\nrx(0.5872) q[3];\nrz(0.005) q[3];\nrx(0.8017) q[4];\nrz(0.0094) q[4];\nrx(0.8045) q[5];\nrz(0.0099) q[5];\nrx(0.7961) q[6];\nrz(0.0015) q[6];\nrx(0.7993) q[7];\nrz(0.0038) q[7];\nrx(0.8004) q[8];\nrz(0.0027) q[8];\nrx(0.7979) q[9];\nrz(0.0055) q[9];\nrx(0.7928) q[10];\nrz(0.0025) q[10];\nrx(0.7973) q[11];\nrz(0.0052) q[11];\nrx(0.8031) q[12];\nrz(0.0086) q[12];\nrx(0.7958) q[13];\nrz(0.001) q[13];\nrx(0.7998) q[14];\nrz(0.0062) q[14];\nrx(0.7988) q[15];\nrz(0.0068) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x8;\ninput float[64] x9;\nbit[16] c;\nqubit[16] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\nrx(x24) q[12];\nrz(x25) q[12];\nrx(x26) q[13];\nrz(x27) q[13];\nrx(x28) q[14];\nrz(x29) q[14];\nrx(x30) q[15];\nrz(x31) q[15];\ncrx(x32) q[15], q[14];\ncrx(x33) q[15], q[13];\ncrx(x34) q[15], q[12];\ncrx(x35) q[15], q[11];\ncrx(x36) q[15], q[10];\ncrx(x37) q[15], q[9];\ncrx(x38) q[15], q[8];\ncrx(x39) q[15], q[7];\ncrx(x40) q[15], q[6];\ncrx(x41) q[15], q[5];\ncrx(x42) q[15], q[4];\ncrx(x43) q[15], q[3];\ncrx(x44) q[15], q[2];\ncrx(x45) q[15], q[1];\ncrx(x46) q[15], q[0];\ncrx(x47) q[14], q[15];\ncrx(x33) q[14], q[13];\ncrx(x34) q[14], q[12];\ncrx(x35) q[14], q[11];\ncrx(x36) q[14], q[10];\ncrx(x37) q[14], q[9];\ncrx(x38) q[14], q[8];\ncrx(x39) q[14], q[7];\ncrx(x40) q[14], q[6];\ncrx(x41) q[14], q[5];\ncrx(x42) q[14], q[4];\ncrx(x43) q[14], q[3];\ncrx(x44) q[14], q[2];\ncrx(x45) q[14], q[1];\ncrx(x46) q[14], q[0];\ncrx(x47) q[13], q[15];\ncrx(x32) q[13], q[14];\ncrx(x34) q[13], q[12];\ncrx(x35) q[13], q[11];\ncrx(x36) q[13], q[10];\ncrx(x37) q[13], q[9];\ncrx(x38) q[13], q[8];\ncrx(x39) q[13], q[7];\ncrx(x40) q[13], q[6];\ncrx(x41) q[13], q[5];\ncrx(x42) q[13], q[4];\ncrx(x43) q[13], q[3];\ncrx(x44) q[13], q[2];\ncrx(x45) q[13], q[1];\ncrx(x46) q[13], q[0];\ncrx(x47) q[12], q[15];\ncrx(x32) q[12], q[14];\ncrx(x33) q[12], q[13];\ncrx(x35) q[12], q[11];\ncrx(x36) q[12], q[10];\ncrx(x37) q[12], q[9];\ncrx(x38) q[12], q[8];\ncrx(x39) q[12], q[7];\ncrx(x40) q[12], q[6];\ncrx(x41) q[12], q[5];\ncrx(x42) q[12], q[4];\ncrx(x43) q[12], q[3];\ncrx(x44) q[12], q[2];\ncrx(x45) q[12], q[1];\ncrx(x46) q[12], q[0];\ncrx(x47) q[11], q[15];\ncrx(x32) q[11], q[14];\ncrx(x33) q[11], q[13];\ncrx(x34) q[11], q[12];\ncrx(x36) q[11], q[10];\ncrx(x37) q[11], q[9];\ncrx(x38) q[11], q[8];\ncrx(x39) q[11], q[7];\ncrx(x40) q[11], q[6];\ncrx(x41) q[11], q[5];\ncrx(x42) q[11], q[4];\ncrx(x43) q[11], q[3];\ncrx(x44) q[11], q[2];\ncrx(x45) q[11], q[1];\ncrx(x46) q[11], q[0];\ncrx(x47) q[10], q[15];\ncrx(x32) q[10], q[14];\ncrx(x33) q[10], q[13];\ncrx(x34) q[10], q[12];\ncrx(x35) q[10], q[11];\ncrx(x37) q[10], q[9];\ncrx(x38) q[10], q[8];\ncrx(x39) q[10], q[7];\ncrx(x40) q[10], q[6];\ncrx(x41) q[10], q[5];\ncrx(x42) q[10], q[4];\ncrx(x43) q[10], q[3];\ncrx(x44) q[10], q[2];\ncrx(x45) q[10], q[1];\ncrx(x46) q[10], q[0];\ncrx(x47) q[9], q[15];\ncrx(x32) q[9], q[14];\ncrx(x33) q[9], q[13];\ncrx(x34) q[9], q[12];\ncrx(x35) q[9], q[11];\ncrx(x36) q[9], q[10];\ncrx(x38) q[9], q[8];\ncrx(x39) q[9], q[7];\ncrx(x40) q[9], q[6];\ncrx(x41) q[9], q[5];\ncrx(x42) q[9], q[4];\ncrx(x43) q[9], q[3];\ncrx(x44) q[9], q[2];\ncrx(x45) q[9], q[1];\ncrx(x46) q[9], q[0];\ncrx(x47) q[8], q[15];\ncrx(x32) q[8], q[14];\ncrx(x33) q[8], q[13];\ncrx(x34) q[8], q[12];\ncrx(x35) q[8], q[11];\ncrx(x36) q[8], q[10];\ncrx(x37) q[8], q[9];\ncrx(x39) q[8], q[7];\ncrx(x40) q[8], q[6];\ncrx(x41) q[8], q[5];\ncrx(x42) q[8], q[4];\ncrx(x43) q[8], q[3];\ncrx(x44) q[8], q[2];\ncrx(x45) q[8], q[1];\ncrx(x46) q[8], q[0];\ncrx(x47) q[7], q[15];\ncrx(x32) q[7], q[14];\ncrx(x33) q[7], q[13];\ncrx(x34) q[7], q[12];\ncrx(x35) q[7], q[11];\ncrx(x36) q[7], q[10];\ncrx(x37) q[7], q[9];\ncrx(x38) q[7], q[8];\ncrx(x40) q[7], q[6];\ncrx(x41) q[7], q[5];\ncrx(x42) q[7], q[4];\ncrx(x43) q[7], q[3];\ncrx(x44) q[7], q[2];\ncrx(x45) q[7], q[1];\ncrx(x46) q[7], q[0];\ncrx(x47) q[6], q[15];\ncrx(x32) q[6], q[14];\ncrx(x33) q[6], q[13];\ncrx(x34) q[6], q[12];\ncrx(x35) q[6], q[11];\ncrx(x36) q[6], q[10];\ncrx(x37) q[6], q[9];\ncrx(x38) q[6], q[8];\ncrx(x39) q[6], q[7];\ncrx(x41) q[6], q[5];\ncrx(x42) q[6], q[4];\ncrx(x43) q[6], q[3];\ncrx(x44) q[6], q[2];\ncrx(x45) q[6], q[1];\ncrx(x46) q[6], q[0];\ncrx(x47) q[5], q[15];\ncrx(x32) q[5], q[14];\ncrx(x33) q[5], q[13];\ncrx(x34) q[5], q[12];\ncrx(x35) q[5], q[11];\ncrx(x36) q[5], q[10];\ncrx(x37) q[5], q[9];\ncrx(x38) q[5], q[8];\ncrx(x39) q[5], q[7];\ncrx(x40) q[5], q[6];\ncrx(x42) q[5], q[4];\ncrx(x43) q[5], q[3];\ncrx(x44) q[5], q[2];\ncrx(x45) q[5], q[1];\ncrx(x46) q[5], q[0];\ncrx(x47) q[4], q[15];\ncrx(x32) q[4], q[14];\ncrx(x33) q[4], q[13];\ncrx(x34) q[4], q[12];\ncrx(x35) q[4], q[11];\ncrx(x36) q[4], q[10];\ncrx(x37) q[4], q[9];\ncrx(x38) q[4], q[8];\ncrx(x39) q[4], q[7];\ncrx(x40) q[4], q[6];\ncrx(x41) q[4], q[5];\ncrx(x43) q[4], q[3];\ncrx(x44) q[4], q[2];\ncrx(x45) q[4], q[1];\ncrx(x46) q[4], q[0];\ncrx(x47) q[3], q[15];\ncrx(x32) q[3], q[14];\ncrx(x33) q[3], q[13];\ncrx(x34) q[3], q[12];\ncrx(x35) q[3], q[11];\ncrx(x36) q[3], q[10];\ncrx(x37) q[3], q[9];\ncrx(x38) q[3], q[8];\ncrx(x39) q[3], q[7];\ncrx(x40) q[3], q[6];\ncrx(x41) q[3], q[5];\ncrx(x42) q[3], q[4];\ncrx(x44) q[3], q[2];\ncrx(x45) q[3], q[1];\ncrx(x46) q[3], q[0];\ncrx(x47) q[2], q[15];\ncrx(x32) q[2], q[14];\ncrx(x33) q[2], q[13];\ncrx(x34) q[2], q[12];\ncrx(x35) q[2], q[11];\ncrx(x36) q[2], q[10];\ncrx(x37) q[2], q[9];\ncrx(x38) q[2], q[8];\ncrx(x39) q[2], q[7];\ncrx(x40) q[2], q[6];\ncrx(x41) q[2], q[5];\ncrx(x42) q[2], q[4];\ncrx(x43) q[2], q[3];\ncrx(x45) q[2], q[1];\ncrx(x46) q[2], q[0];\ncrx(x47) q[1], q[15];\ncrx(x32) q[1], q[14];\ncrx(x33) q[1], q[13];\ncrx(x34) q[1], q[12];\ncrx(x35) q[1], q[11];\ncrx(x36) q[1], q[10];\ncrx(x37) q[1], q[9];\ncrx(x38) q[1], q[8];\ncrx(x39) q[1], q[7];\ncrx(x40) q[1], q[6];\ncrx(x41) q[1], q[5];\ncrx(x42) q[1], q[4];\ncrx(x43) q[1], q[3];\ncrx(x44) q[1], q[2];\ncrx(x46) q[1], q[0];\ncrx(x47) q[0], q[15];\ncrx(x32) q[0], q[14];\ncrx(x33) q[0], q[13];\ncrx(x34) q[0], q[12];\ncrx(x35) q[0], q[11];\ncrx(x36) q[0], q[10];\ncrx(x37) q[0], q[9];\ncrx(x38) q[0], q[8];\ncrx(x39) q[0], q[7];\ncrx(x40) q[0], q[6];\ncrx(x41) q[0], q[5];\ncrx(x42) q[0], q[4];\ncrx(x43) q[0], q[3];\ncrx(x44) q[0], q[2];\ncrx(x45) q[0], q[1];\nrx(x48) q[0];\nrz(x49) q[0];\nrx(x50) q[1];\nrz(x51) q[1];\nrx(x52) q[2];\nrz(x53) q[2];\nrx(x54) q[3];\nrz(x55) q[3];\nrx(x56) q[4];\nrz(x57) q[4];\nrx(x58) q[5];\nrz(x59) q[5];\nrx(x60) q[6];\nrz(x61) q[6];\nrx(x62) q[7];\nrz(x63) q[7];\nrx(x64) q[8];\nrz(x65) q[8];\nrx(x66) q[9];\nrz(x67) q[9];\nrx(x0) q[10];\nrz(x68) q[10];\nrx(x69) q[11];\nrz(x70) q[11];\nrx(x71) q[12];\nrz(x72) q[12];\nrx(x73) q[13];\nrz(x74) q[13];\nrx(x75) q[14];\nrz(x76) q[14];\nrx(x77) q[15];\nrz(x36) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 2}, {\"id\": 1}, {\"id\": 0}, {\"id\": 3}], \"edges\": [{\"source\": 2, \"target\": 1}, {\"source\": 2, \"target\": 0}, {\"source\": 2, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 0, \"target\": 3}]}}","{\"circuits\": [], \"gradients\": []}"]
["b305367bc2e2ddaa066fe8b84210618a","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 5}, {\"weight\": 15, \"source\": 0, \"target\": 2}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 18, \"source\": 2, \"target\": 6}, {\"weight\": 14, \"source\": 2, \"target\": 4}, {\"weight\": 12, \"source\": 3, \"target\": 5}, {\"weight\": 5, \"source\": 4, \"target\": 5}]}","{\"states\": [117, 110], \"expectation_value\": -18.803625805892416, \"params\": [[0.044000000000000004, -0.037000000000000005, -0.056], [-0.0714, -0.0063, 0.0609]], \"bitstrings\": [\"10001010\", \"10010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012692304425474867, 0.014670778117046064], \"optimization_time\": 7.519834995269775}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) + 1.5 * Z(0) + 15.5 * Z(2) + 13.0 * Z(3) + 15.0 * Z(4) + 13.0 * Z(5) + 10.0 * Z(6) + 6.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-68.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -62.0, \"smallest_bitstrings\": [\"10010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.352) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.352) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.352) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.352) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(0.352) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.352) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.352) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.352) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.352) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.352) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.352) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(0.352) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.352) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.352) q[7];\ncx q[6], q[7];\nrz(1.716) q[1];\nrz(0.132) q[0];\nrz(1.364) q[2];\nrz(1.144) q[3];\nrz(1.32) q[4];\nrz(1.144) q[5];\nrz(0.88) q[6];\nrz(0.572) q[7];\nh q[0];\nrz(-0.1428) q[0];\nh q[0];\nh q[1];\nrz(-0.1428) q[1];\nh q[1];\nh q[2];\nrz(-0.1428) q[2];\nh q[2];\nh q[3];\nrz(-0.1428) q[3];\nh q[3];\nh q[4];\nrz(-0.1428) q[4];\nh q[4];\nh q[5];\nrz(-0.1428) q[5];\nh q[5];\nh q[6];\nrz(-0.1428) q[6];\nh q[6];\nh q[7];\nrz(-0.1428) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.296) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.296) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.296) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.296) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(-0.296) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.296) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.296) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(-0.296) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.296) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.296) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.296) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(-0.296) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(-0.296) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.296) q[7];\ncx q[6], q[7];\nrz(-1.443) q[1];\nrz(-0.111) q[0];\nrz(-1.147) q[2];\nrz(-0.962) q[3];\nrz(-1.11) q[4];\nrz(-0.962) q[5];\nrz(-0.74) q[6];\nrz(-0.481) q[7];\nh q[0];\nrz(-0.0126) q[0];\nh q[0];\nh q[1];\nrz(-0.0126) q[1];\nh q[1];\nh q[2];\nrz(-0.0126) q[2];\nh q[2];\nh q[3];\nrz(-0.0126) q[3];\nh q[3];\nh q[4];\nrz(-0.0126) q[4];\nh q[4];\nh q[5];\nrz(-0.0126) q[5];\nh q[5];\nh q[6];\nrz(-0.0126) q[6];\nh q[6];\nh q[7];\nrz(-0.0126) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.448) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.448) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.448) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.448) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(-0.448) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.448) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.448) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(-0.448) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.448) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.448) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.448) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(-0.448) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(-0.448) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.448) q[7];\ncx q[6], q[7];\nrz(-2.184) q[1];\nrz(-0.168) q[0];\nrz(-1.736) q[2];\nrz(-1.456) q[3];\nrz(-1.68) q[4];\nrz(-1.456) q[5];\nrz(-1.12) q[6];\nrz(-0.728) q[7];\nh q[0];\nrz(0.1218) q[0];\nh q[0];\nh q[1];\nrz(0.1218) q[1];\nh q[1];\nh q[2];\nrz(0.1218) q[2];\nh q[2];\nh q[3];\nrz(0.1218) q[3];\nh q[3];\nh q[4];\nrz(0.1218) q[4];\nh q[4];\nh q[5];\nrz(0.1218) q[5];\nh q[5];\nh q[6];\nrz(0.1218) q[6];\nh q[6];\nh q[7];\nrz(0.1218) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x4) q[5];\nrz(x6) q[6];\nrz(x7) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x9) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x9) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x9) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[3];\nrz(x14) q[4];\nrz(x13) q[5];\nrz(x15) q[6];\nrz(x16) q[7];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x18) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x18) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x18) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x18) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x18) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x18) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x18) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x18) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x18) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x18) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x18) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x18) q[7];\ncx q[6], q[7];\nrz(x19) q[1];\nrz(x20) q[0];\nrz(x21) q[2];\nrz(x22) q[3];\nrz(x23) q[4];\nrz(x22) q[5];\nrz(x24) q[6];\nrz(x25) q[7];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["c5aa289d2d34be7b0922b4fb4be4f7b1","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 0, \"target\": 9}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 9}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 9}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 8}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 5}, {\"capacity\": 1, \"source\": 7, \"target\": 5}, {\"capacity\": 2, \"source\": 7, \"target\": 6}, {\"capacity\": 2, \"source\": 8, \"target\": 2}, {\"capacity\": 2, \"source\": 8, \"target\": 7}, {\"capacity\": 2, \"source\": 8, \"target\": 9}]}","{\"states\": [0, 3], \"expectation_value\": -11.189874573490627, \"params\": [0.0028, -0.0004, -0.0028, 0.45580000000000004, -0.0025, 0.4721, 0.0102, -0.0886, -0.0029000000000000002, 0.671, -0.0025, 0.6752, -0.0023, 0.6699, -0.0034000000000000002, 0.6423, 0.5132, -0.0017000000000000001, 0.9057000000000001, 0.0015, -0.005200000000000001, 0.0241, -0.0027, -0.199, -0.0027, -0.0337, 0.0236, 0.0048000000000000004, -0.0028, -0.3284, -0.0025, -0.322, -0.0023, -0.3064, -0.0034000000000000002, 0.4027, 0.5143, 0.0017000000000000001, 0.9075000000000001, 0.0095, 0.4041, -0.3269, -0.007, 0.6713, 0.5583, 0.6643, -0.41150000000000003, -0.0029000000000000002, 0.4057, -0.1359, 0.1621, 0.0178, 0.039900000000000005, -0.26280000000000003, -0.3054, 0.1621, -0.0031000000000000003, 0.81], \"bitstrings\": [\"1111111111\", \"1111111100\"], \"total_optimization_steps\": 90, \"probabilities\": [0.31270761356745996, 0.4454079835532541], \"optimization_time\": 10.356234788894653}","-0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(9)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 1.0 * Z(4) + 0.0 * Z(5) + -0.5 * Z(7) + 1.25 * Z(9) + -0.5 * Z(6) + 0.25 * Z(3) + 1.25 * Z(8)",4,10,2,"{\"smallest_eigenvalues\": [-13.75, -13.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -12.75, \"smallest_bitstrings\": [\"1111111100\", \"1110111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.0028) q[0];\nrz(-0.0004) q[0];\nrx(-0.0028) q[1];\nrz(0.4558) q[1];\nrx(-0.0025) q[2];\nrz(0.4721) q[2];\nrx(0.0102) q[3];\nrz(-0.0886) q[3];\nrx(-0.0029) q[4];\nrz(0.671) q[4];\nrx(-0.0025) q[5];\nrz(0.6752) q[5];\nrx(-0.0023) q[6];\nrz(0.6699) q[6];\nrx(-0.0034) q[7];\nrz(0.6423) q[7];\nrx(0.5132) q[8];\nrz(-0.0017) q[8];\nrx(0.9057) q[9];\nrz(0.0015) q[9];\ncrx(0.4057) q[9], q[8];\ncrx(-0.0029) q[8], q[7];\ncrx(-0.4115) q[7], q[6];\ncrx(0.6643) q[6], q[5];\ncrx(0.5583) q[5], q[4];\ncrx(0.6713) q[4], q[3];\ncrx(-0.007) q[3], q[2];\ncrx(-0.3269) q[2], q[1];\ncrx(0.4041) q[1], q[0];\nrx(-0.0052) q[0];\nrz(0.0241) q[0];\nrx(-0.0027) q[1];\nrz(-0.199) q[1];\nrx(-0.0027) q[2];\nrz(-0.0337) q[2];\nrx(0.0236) q[3];\nrz(0.0048) q[3];\nrx(-0.0028) q[4];\nrz(-0.3284) q[4];\nrx(-0.0025) q[5];\nrz(-0.322) q[5];\nrx(-0.0023) q[6];\nrz(-0.3064) q[6];\nrx(-0.0034) q[7];\nrz(0.4027) q[7];\nrx(0.5143) q[8];\nrz(0.0017) q[8];\nrx(0.9075) q[9];\nrz(0.0095) q[9];\ncrx(0.81) q[9], q[8];\ncrx(-0.0031) q[8], q[7];\ncrx(0.1621) q[7], q[6];\ncrx(-0.3054) q[6], q[5];\ncrx(-0.2628) q[5], q[4];\ncrx(0.0399) q[4], q[3];\ncrx(0.0178) q[3], q[2];\ncrx(0.1621) q[2], q[1];\ncrx(-0.1359) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x4) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrx(x19) q[9], q[8];\ncrx(x8) q[8], q[7];\ncrx(x20) q[7], q[6];\ncrx(x21) q[6], q[5];\ncrx(x22) q[5], q[4];\ncrx(x23) q[4], q[3];\ncrx(x24) q[3], q[2];\ncrx(x25) q[2], q[1];\ncrx(x26) q[1], q[0];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x29) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x2) q[4];\nrz(x34) q[4];\nrx(x4) q[5];\nrz(x35) q[5];\nrx(x11) q[6];\nrz(x36) q[6];\nrx(x13) q[7];\nrz(x37) q[7];\nrx(x38) q[8];\nrz(x39) q[8];\nrx(x40) q[9];\nrz(x41) q[9];\ncrx(x42) q[9], q[8];\ncrx(x43) q[8], q[7];\ncrx(x44) q[7], q[6];\ncrx(x45) q[6], q[5];\ncrx(x46) q[5], q[4];\ncrx(x47) q[4], q[3];\ncrx(x48) q[3], q[2];\ncrx(x44) q[2], q[1];\ncrx(x49) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["a6e15f3d5d0d57da2b41d67529c98500","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 9}]}","{\"states\": [508, 511], \"expectation_value\": -3.5757135120424053, \"params\": [[-0.0616], [0.0748]], \"bitstrings\": [\"000000011\", \"000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004202051072302151, 0.004202051072302153], \"optimization_time\": 2.5918726921081543}","-3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + -3.0 * (Z(1) @ Z(6)) + -2.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(5)) + 1.0 * (Z(3) @ Z(6)) + -3.0 * (Z(3) @ Z(1)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(8) + 1.0 * Z(7)",5,9,1,"{\"smallest_eigenvalues\": [-33.0, -33.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -32.0, \"smallest_bitstrings\": [\"000000000\", \"000000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(0.3696) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(-0.1232) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.4312) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(-0.0616) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.3696) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.3696) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(-0.0616) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.3696) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(0.3696) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.1848) q[6];\ncx q[5], q[6];\ncx q[2], q[1];\nrz(-0.0616) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.1848) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(0.3696) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(0.3696) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(0.3696) q[1];\ncx q[6], q[1];\ncx q[2], q[3];\nrz(0.308) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.1232) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(0.4312) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(-0.1232) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(-0.1232) q[3];\ncx q[6], q[3];\ncx q[1], q[3];\nrz(0.3696) q[3];\ncx q[1], q[3];\ncx q[8], q[7];\nrz(0.1848) q[7];\ncx q[8], q[7];\nrz(-0.0616) q[2];\nrz(-0.0616) q[0];\nrz(-0.0616) q[4];\nrz(-0.0616) q[5];\nrz(-0.0616) q[6];\nrz(-0.0616) q[1];\nrz(-0.0616) q[3];\nrz(0.1232) q[8];\nrz(-0.1232) q[7];\nh q[0];\nrz(0.1496) q[0];\nh q[0];\nh q[1];\nrz(0.1496) q[1];\nh q[1];\nh q[2];\nrz(0.1496) q[2];\nh q[2];\nh q[3];\nrz(0.1496) q[3];\nh q[3];\nh q[4];\nrz(0.1496) q[4];\nh q[4];\nh q[5];\nrz(0.1496) q[5];\nh q[5];\nh q[6];\nrz(0.1496) q[6];\nh q[6];\nh q[7];\nrz(0.1496) q[7];\nh q[7];\nh q[8];\nrz(0.1496) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x3) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x4) q[6];\ncx q[5], q[6];\ncx q[2], q[1];\nrz(x3) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x4) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x0) q[1];\ncx q[6], q[1];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x1) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[8], q[7];\nrz(x6) q[7];\ncx q[8], q[7];\nrz(x3) q[2];\nrz(x3) q[0];\nrz(x3) q[4];\nrz(x3) q[5];\nrz(x3) q[6];\nrz(x3) q[1];\nrz(x3) q[3];\nrz(x7) q[8];\nrz(x1) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 8}","{\"circuits\": [], \"gradients\": []}"]
["5aa41fa14f6a892e69fb2ef8bf1750a6","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [70, 102], \"expectation_value\": -5.16521056616809, \"params\": [[[0.0006000000000000001, -0.36150000000000004], [0.0036000000000000003, -0.40390000000000004], [0.7076, 0.0015], [0.6084, 0.0035], [0.4141, 0.1511], [-0.0051, 0.379], [0.6334000000000001, 0.0023], [0.7024, 0.0018000000000000002], [0.0891, 0.29650000000000004]], [[0.0054, -0.3574], [0.0023, -0.4032], [0.7105, 0.0015], [0.6058, 0.0035], [0.4128, 0.151], [-0.0068000000000000005, 0.3784], [0.6337, 0.0023], [0.7044, -0.0018000000000000002], [0.09530000000000001, -0.29660000000000003]], [[0.0004, 0.0099], [0.0037, 0.0039000000000000003], [0.7051000000000001, 0.0022], [0.6125, 0.004200000000000001], [0.41600000000000004, 0.0034000000000000002], [-0.0059, 0.009000000000000001], [0.6319, 0.0079], [0.7033, 0.0026000000000000003], [0.0952, 0.0024000000000000002]]], \"bitstrings\": [\"110111001\", \"110011001\"], \"total_optimization_steps\": 70, \"probabilities\": [0.09308151174765247, 0.15620543686561553], \"optimization_time\": 25.08211874961853}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(7) + -2.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-6.5, -6.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"110011001\", \"110001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0006) q[0];\nrz(-0.3615) q[0];\nrx(0.0036) q[1];\nrz(-0.4039) q[1];\nrx(0.7076) q[2];\nrz(0.0015) q[2];\nrx(0.6084) q[3];\nrz(0.0035) q[3];\nrx(0.4141) q[4];\nrz(0.1511) q[4];\nrx(-0.0051) q[5];\nrz(0.379) q[5];\nrx(0.6334) q[6];\nrz(0.0023) q[6];\nrx(0.7024) q[7];\nrz(0.0018) q[7];\nrx(0.0891) q[8];\nrz(0.2965) q[8];\nrx(0.0054) q[0];\nrz(-0.3574) q[0];\nrx(0.0023) q[1];\nrz(-0.4032) q[1];\nrx(0.7105) q[2];\nrz(0.0015) q[2];\nrx(0.6058) q[3];\nrz(0.0035) q[3];\nrx(0.4128) q[4];\nrz(0.151) q[4];\nrx(-0.0068) q[5];\nrz(0.3784) q[5];\nrx(0.6337) q[6];\nrz(0.0023) q[6];\nrx(0.7044) q[7];\nrz(-0.0018) q[7];\nrx(0.0953) q[8];\nrz(-0.2966) q[8];\nrx(0.0004) q[0];\nrz(0.0099) q[0];\nrx(0.0037) q[1];\nrz(0.0039) q[1];\nrx(0.7051) q[2];\nrz(0.0022) q[2];\nrx(0.6125) q[3];\nrz(0.0042) q[3];\nrx(0.416) q[4];\nrz(0.0034) q[4];\nrx(-0.0059) q[5];\nrz(0.009) q[5];\nrx(0.6319) q[6];\nrz(0.0079) q[6];\nrx(0.7033) q[7];\nrz(0.0026) q[7];\nrx(0.0952) q[8];\nrz(0.0024) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[0];\nrz(x19) q[0];\nrx(x13) q[1];\nrz(x20) q[1];\nrx(x21) q[2];\nrz(x5) q[2];\nrx(x22) q[3];\nrz(x7) q[3];\nrx(x23) q[4];\nrz(x24) q[4];\nrx(x25) q[5];\nrz(x26) q[5];\nrx(x27) q[6];\nrz(x13) q[6];\nrx(x28) q[7];\nrz(x29) q[7];\nrx(x30) q[8];\nrz(x31) q[8];\nrx(x32) q[0];\nrz(x33) q[0];\nrx(x34) q[1];\nrz(x35) q[1];\nrx(x36) q[2];\nrz(x37) q[2];\nrx(x38) q[3];\nrz(x39) q[3];\nrx(x40) q[4];\nrz(x41) q[4];\nrx(x42) q[5];\nrz(x43) q[5];\nrx(x44) q[6];\nrz(x45) q[6];\nrx(x46) q[7];\nrz(x47) q[7];\nrx(x48) q[8];\nrz(x49) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["-2321823589419833306","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[1, 7], [8, 6], [8, 3, 5], [0, 4], [8, 2], [9, 5]]}","{\"states\": [306, 54], \"expectation_value\": -2.680802251078318, \"params\": null, \"bitstrings\": [\"1011001101\", \"1111001001\"], \"total_optimization_steps\": 86, \"probabilities\": [0.04869971852070162, 0.7194326633307399], \"optimization_time\": 130.0235047340393}","0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6) + 0.16666666666666674 * Z(8) + 0.16666666666666666 * Z(3) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334, -2.833333333333334], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -2.833333333333333, \"smallest_bitstrings\": [\"0111101001\", \"1010011100\", \"0110111000\", \"1111001001\", \"0011101101\", \"1011001101\", \"1110011000\", \"0010111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(-1.0342) q[8], q[6];\nry(0.971) q[8];\ncry(-1.3758) q[8], q[2];\nry(-0.6611) q[6];\ncry(-1.0342) q[7], q[1];\ncry(-1.0342) q[4], q[0];\ncry(-1.0342) q[5], q[9];\nry(0.7884) q[5];\nry(0.7003) q[7];\ncry(0.3389) q[7], q[8];\nry(0.7003) q[4];\nry(-0.5281) q[9];\ncry(0.448) q[8], q[5];\nry(-0.4549) q[0];\ncry(0.4815) q[5], q[4];\nry(-0.4549) q[1];\ncry(0.475) q[5], q[7];\ncry(-0.3614) q[5], q[0];\ncry(-0.3553) q[5], q[1];\ncry(-0.3229) q[8], q[9];\ncry(0.2659) q[8], q[4];\ncry(0.2637) q[4], q[7];\ncry(0.2498) q[4], q[5];\ncry(-0.6036) q[8], q[3];\ncry(-0.402) q[5], q[3];\ncry(-0.1855) q[7], q[6];\ncry(0.1064) q[4], q[8];\ncry(-0.1673) q[4], q[1];\ncry(-0.1683) q[8], q[0];\nry(-0.1579) q[2];\ncry(-0.1551) q[4], q[9];\ncry(0.1109) q[7], q[4];\ncry(0.0895) q[7], q[5];\ncry(0.1079) q[8], q[7];\nry(-0.1818) q[3];\ncry(-0.0685) q[7], q[0];\ncry(-0.0686) q[8], q[1];\ncry(0.1669) q[6], q[2];\ncry(0.1416) q[2], q[6];\ncry(-0.1069) q[7], q[3];\ncry(-0.0509) q[4], q[6];\ncry(0.0305) q[5], q[8];\ncry(-0.0498) q[7], q[9];\ncry(0.0888) q[6], q[5];\ncry(-0.0655) q[4], q[3];\ncry(0.0662) q[1], q[8];\ncry(0.0631) q[2], q[5];\ncry(0.06) q[6], q[3];\ncry(-0.0216) q[7], q[2];\ncry(-0.0526) q[2], q[8];\ncry(0.0508) q[0], q[5];\ncry(0.0517) q[9], q[4];\ncry(0.0501) q[9], q[7];\ncry(0.0513) q[2], q[3];\ncry(0.0514) q[9], q[3];\ncry(0.0448) q[3], q[2];\ncry(-0.0425) q[6], q[8];\ncry(0.0386) q[6], q[4];\ncry(0.0344) q[0], q[8];\ncry(0.0362) q[0], q[7];\ncry(0.0375) q[3], q[6];\ncry(0.031) q[1], q[5];\ncry(0.0307) q[6], q[7];\ncry(0.0285) q[2], q[4];\ncry(-0.0248) q[1], q[7];\ncry(-0.0243) q[0], q[4];\ncry(-0.0097) q[5], q[6];\ncry(0.0214) q[9], q[8];\ncry(-0.023) q[6], q[9];\ncry(0.0234) q[3], q[5];\ncry(0.0225) q[1], q[4];\ncry(0.0191) q[2], q[7];\ncry(-0.0182) q[2], q[9];\ncry(0.0184) q[3], q[7];\ncry(0.0177) q[3], q[4];\ncry(-0.0165) q[9], q[1];\ncry(-0.0154) q[9], q[0];\ncry(0.016) q[3], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,null,{"$cut":{"chars":121709,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(-1.0342) q[8], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(-1.0342) q[8], q[6];\\nry(0.971) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(-1.0342) q[8], q[6];\\nry(0.971) q[8];\\ncry(-1.3758) q[8], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(-1.0342) q[8], q[6];\\nry(0.971) q[8];\\ncry(-1.3758) q[8], q[2];\\nry(-0.6611) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(-1.0342) q[8], q[6];\\nry(0.971) q[8];\\ncry(-1.3758) q[8], q[2];\\nry(-0.6611) q[6];\\ncry(-1.0342) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(-1.0342) q[8], q[6];\\nry(0.971) q[8];\\ncry(-1.3758) q[8], q[2];\\nry(-0.6611) q[6];\\ncry(-1.0342) q[7], q[1];\\ncry(-1.0342) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(-1.0342) q[8], q[6];\\nry(0.971) q[8];\\ncry(-1.3758) q[8], q[2];\\nry(-0.6611) q[6];\\ncry(-1.0342) q[7], q[1];\\ncry(-1.0342) q[4], q[0];\\ncry(-1.0342) q[5], q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(-1.0342) q[8], q[6];\\nry(0.971) q[8];\\ncry(-1.3758) q[8], q[2];\\nry(-0.6611) q[6];\\ncry(-1.0342) q[7], q[1];\\ncry(-1.0342) q[4], q[0];\\ncry(-1.0342) q[5], q[9];\\nry(0.7884) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\ncry(-1.0342) q[8], q[6];\\nry(0.971) q"}}]
["-2837685049463093068","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 7], [3, 6], [0, 4], [2, 7], [0, 2, 5], [4, 6, 7], [3, 4, 7], [0, 6, 7], [1, 3], [4, 5, 7], [1, 6]]}","{\"states\": [110, 149], \"expectation_value\": -0.07293236076093201, \"params\": [[-0.06380000000000001], [0.054200000000000005]], \"bitstrings\": [\"10010001\", \"01101010\"], \"total_optimization_steps\": 20, \"probabilities\": [0.004227385436496631, 0.00424427996909891], \"optimization_time\": 2.673107147216797}","0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.6666666666666665 * Z(7) + 0.0 * Z(1) + 0.16666666666666674 * Z(3) + 0.3333333333333335 * Z(6) + 0.33333333333333326 * Z(0) + 0.5000000000000001 * Z(4) + 0.16666666666666663 * Z(2) + 0.3333333333333333 * Z(5)",1,8,1,"{\"smallest_eigenvalues\": [-3.333333333333334, -3.333333333333334], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"01101010\", \"01101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[1];\nrz(-0.0638) q[1];\ncx q[7], q[1];\ncx q[7], q[3];\nrz(-0.0213) q[3];\ncx q[7], q[3];\ncx q[1], q[3];\nrz(-0.0638) q[3];\ncx q[1], q[3];\ncx q[7], q[6];\nrz(-0.0425) q[6];\ncx q[7], q[6];\ncx q[1], q[6];\nrz(-0.0638) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(-0.0638) q[6];\ncx q[3], q[6];\ncx q[7], q[0];\nrz(-0.0213) q[0];\ncx q[7], q[0];\ncx q[6], q[0];\nrz(-0.0213) q[0];\ncx q[6], q[0];\ncx q[7], q[4];\nrz(-0.0638) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(-0.0213) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.0213) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(-0.0638) q[4];\ncx q[0], q[4];\ncx q[7], q[2];\nrz(-0.0638) q[2];\ncx q[7], q[2];\ncx q[0], q[2];\nrz(-0.0213) q[2];\ncx q[0], q[2];\ncx q[7], q[5];\nrz(-0.0213) q[5];\ncx q[7], q[5];\ncx q[0], q[5];\nrz(-0.0213) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0213) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(-0.0213) q[5];\ncx q[2], q[5];\nrz(-0.0851) q[7];\nrz(0) q[1];\nrz(-0.0213) q[3];\nrz(-0.0425) q[6];\nrz(-0.0425) q[0];\nrz(-0.0638) q[4];\nrz(-0.0213) q[2];\nrz(-0.0425) q[5];\nh q[0];\nrz(0.1084) q[0];\nh q[0];\nh q[1];\nrz(0.1084) q[1];\nh q[1];\nh q[2];\nrz(0.1084) q[2];\nh q[2];\nh q[3];\nrz(0.1084) q[3];\nh q[3];\nh q[4];\nrz(0.1084) q[4];\nh q[4];\nh q[5];\nrz(0.1084) q[5];\nh q[5];\nh q[6];\nrz(0.1084) q[6];\nh q[6];\nh q[7];\nrz(0.1084) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[1];\nrz(x0) q[1];\ncx q[7], q[1];\ncx q[7], q[3];\nrz(x1) q[3];\ncx q[7], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[7], q[6];\nrz(x2) q[6];\ncx q[7], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[7], q[0];\nrz(x1) q[0];\ncx q[7], q[0];\ncx q[6], q[0];\nrz(x1) q[0];\ncx q[6], q[0];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[7], q[2];\nrz(x0) q[2];\ncx q[7], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\nrz(x3) q[7];\nrz(x4) q[1];\nrz(x1) q[3];\nrz(x2) q[6];\nrz(x2) q[0];\nrz(x0) q[4];\nrz(x1) q[2];\nrz(x2) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["5489b8f397d0daa293d98dbf1d4ada0d","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [163, 171], \"expectation_value\": -4.121263162480584, \"params\": [[[-0.006, 0.3851], [0.7063, 0.003], [0.002, -0.35960000000000003], [0.7016, 0.0031000000000000003], [-0.0063, -0.34790000000000004], [0.6077, -0.0011], [0.1004, -0.2936], [0.7035, -0.004], [0.7100000000000001, 0.0017000000000000001]], [[-0.0054, 0.38170000000000004], [0.7001000000000001, 0.003], [0.0086, -0.3398], [0.7048, 0.0031000000000000003], [-0.008700000000000001, -0.34550000000000003], [0.6083000000000001, -0.0011], [0.0937, -0.2938], [0.7047, -0.004], [0.7086, 0.0017000000000000001]], [[-0.0078000000000000005, 0.0085], [0.7025, 0.0098], [0.0017000000000000001, 0.009000000000000001], [0.7029000000000001, 0.0039000000000000003], [-0.002, 0.008400000000000001], [0.6075, 0.0048000000000000004], [0.0993, 0.007], [0.7024, 0.0009000000000000001], [0.7046, 0.0034000000000000002]]], \"bitstrings\": [\"101011100\", \"101010100\"], \"total_optimization_steps\": 70, \"probabilities\": [0.12128234010123218, 0.20215899178971133], \"optimization_time\": 24.014696836471558}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(6)",1,9,3,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"101101000\", \"101010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(-0.006) q[0];\nrz(0.3851) q[0];\nrx(0.7063) q[1];\nrz(0.003) q[1];\nrx(0.002) q[2];\nrz(-0.3596) q[2];\nrx(0.7016) q[3];\nrz(0.0031) q[3];\nrx(-0.0063) q[4];\nrz(-0.3479) q[4];\nrx(0.6077) q[5];\nrz(-0.0011) q[5];\nrx(0.1004) q[6];\nrz(-0.2936) q[6];\nrx(0.7035) q[7];\nrz(-0.004) q[7];\nrx(0.71) q[8];\nrz(0.0017) q[8];\nrx(-0.0054) q[0];\nrz(0.3817) q[0];\nrx(0.7001) q[1];\nrz(0.003) q[1];\nrx(0.0086) q[2];\nrz(-0.3398) q[2];\nrx(0.7048) q[3];\nrz(0.0031) q[3];\nrx(-0.0087) q[4];\nrz(-0.3455) q[4];\nrx(0.6083) q[5];\nrz(-0.0011) q[5];\nrx(0.0937) q[6];\nrz(-0.2938) q[6];\nrx(0.7047) q[7];\nrz(-0.004) q[7];\nrx(0.7086) q[8];\nrz(0.0017) q[8];\nrx(-0.0078) q[0];\nrz(0.0085) q[0];\nrx(0.7025) q[1];\nrz(0.0098) q[1];\nrx(0.0017) q[2];\nrz(0.009) q[2];\nrx(0.7029) q[3];\nrz(0.0039) q[3];\nrx(-0.002) q[4];\nrz(0.0084) q[4];\nrx(0.6075) q[5];\nrz(0.0048) q[5];\nrx(0.0993) q[6];\nrz(0.007) q[6];\nrx(0.7024) q[7];\nrz(0.0009) q[7];\nrx(0.7046) q[8];\nrz(0.0034) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[0];\nrz(x19) q[0];\nrx(x20) q[1];\nrz(x3) q[1];\nrx(x21) q[2];\nrz(x22) q[2];\nrx(x23) q[3];\nrz(x7) q[3];\nrx(x24) q[4];\nrz(x25) q[4];\nrx(x26) q[5];\nrz(x11) q[5];\nrx(x27) q[6];\nrz(x28) q[6];\nrx(x29) q[7];\nrz(x15) q[7];\nrx(x30) q[8];\nrz(x17) q[8];\nrx(x31) q[0];\nrz(x32) q[0];\nrx(x33) q[1];\nrz(x34) q[1];\nrx(x17) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nrx(x46) q[8];\nrz(x47) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["-8773947760197531849","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 3, 6], [0, 1, 2, 5, 7], [6, 7], [0, 3, 5, 6, 8], [2, 4, 5], [2, 6], [0, 3, 4, 5, 6], [0, 8, 6, 1], [2, 3, 7], [0, 3, 4, 6, 8], [2, 3, 4], [0, 1, 2, 4], [8, 0, 2, 3]]}","{\"states\": [490, 491], \"expectation_value\": -2.4952356150514525, \"params\": [1.4835, -0.054, 0.8932, 0.0097, 1.4853, -0.046900000000000004, 0.7666000000000001, 0.0008, 1.4839, -0.057, 0.686, 0.0051, 1.4889000000000001, -0.0704, 1.0902, 0.005200000000000001, 1.4926000000000001, -0.025, 1.4902, 0.0, 1.4923000000000002, -0.0772, 0.8831, 0.0046, 1.496, -0.06470000000000001, 1.4889000000000001, 0.0094, 1.0445, 0.07200000000000001, 0.87, 0.0079, 1.497, 0.4691, 0.5820000000000001, 0.0017000000000000001, 0.15660000000000002, 0.1691, 0.1705, 0.1046, 0.6296, 0.12480000000000001, 0.5436, -0.7268, -0.08950000000000001], \"bitstrings\": [\"000010101\", \"000010100\"], \"total_optimization_steps\": 150, \"probabilities\": [0.17832265642317519, 0.32587541622908706], \"optimization_time\": 76.16518688201904}","0.16666666666666666 * (Z(1) @ Z(3)) + 0.31666666666666665 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.23333333333333334 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(0) @ Z(6)) + 0.41666666666666663 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(6)) + 0.15000000000000002 * (Z(5) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.05 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(5)) + 0.18333333333333335 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.18333333333333335 * (Z(8) @ Z(6)) + 0.26666666666666666 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.05 * (Z(8) @ Z(5)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(6)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.41666666666666663 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(5)) + 0.05 * (Z(4) @ Z(8)) + 0.9250000000000002 * Z(3) + 0.5166666666666668 * Z(1) + 0.5916666666666668 * Z(6) + 0.775 * Z(0) + 0.8500000000000003 * Z(2) + 0.4666666666666668 * Z(5) + 0.26666666666666683 * Z(7) + 0.4500000000000001 * Z(8) + 0.6583333333333333 * Z(4)",6,9,1,"{\"smallest_eigenvalues\": [-3.1000000000000005], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0666666666666664, \"smallest_bitstrings\": [\"000010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(1.4835) q[0];\nrz(-0.054) q[0];\nrx(1.4853) q[1];\nrz(-0.0469) q[1];\nrx(1.4839) q[2];\nrz(-0.057) q[2];\nrx(1.4889) q[3];\nrz(-0.0704) q[3];\nrx(1.4926) q[4];\nrz(-0.025) q[4];\nrx(1.4923) q[5];\nrz(-0.0772) q[5];\nrx(1.496) q[6];\nrz(-0.0647) q[6];\nrx(1.0445) q[7];\nrz(0.072) q[7];\nrx(1.497) q[8];\nrz(0.4691) q[8];\ncrx(-0.7268) q[8], q[7];\ncrx(0.5436) q[8], q[6];\ncrx(0.1248) q[8], q[5];\ncrx(0.6296) q[8], q[4];\ncrx(0.1046) q[8], q[3];\ncrx(0.1705) q[8], q[2];\ncrx(0.1691) q[8], q[1];\ncrx(0.1566) q[8], q[0];\ncrx(-0.0895) q[7], q[8];\ncrx(0.5436) q[7], q[6];\ncrx(0.1248) q[7], q[5];\ncrx(0.6296) q[7], q[4];\ncrx(0.1046) q[7], q[3];\ncrx(0.1705) q[7], q[2];\ncrx(0.1691) q[7], q[1];\ncrx(0.1566) q[7], q[0];\ncrx(-0.0895) q[6], q[8];\ncrx(-0.7268) q[6], q[7];\ncrx(0.1248) q[6], q[5];\ncrx(0.6296) q[6], q[4];\ncrx(0.1046) q[6], q[3];\ncrx(0.1705) q[6], q[2];\ncrx(0.1691) q[6], q[1];\ncrx(0.1566) q[6], q[0];\ncrx(-0.0895) q[5], q[8];\ncrx(-0.7268) q[5], q[7];\ncrx(0.5436) q[5], q[6];\ncrx(0.6296) q[5], q[4];\ncrx(0.1046) q[5], q[3];\ncrx(0.1705) q[5], q[2];\ncrx(0.1691) q[5], q[1];\ncrx(0.1566) q[5], q[0];\ncrx(-0.0895) q[4], q[8];\ncrx(-0.7268) q[4], q[7];\ncrx(0.5436) q[4], q[6];\ncrx(0.1248) q[4], q[5];\ncrx(0.1046) q[4], q[3];\ncrx(0.1705) q[4], q[2];\ncrx(0.1691) q[4], q[1];\ncrx(0.1566) q[4], q[0];\ncrx(-0.0895) q[3], q[8];\ncrx(-0.7268) q[3], q[7];\ncrx(0.5436) q[3], q[6];\ncrx(0.1248) q[3], q[5];\ncrx(0.6296) q[3], q[4];\ncrx(0.1705) q[3], q[2];\ncrx(0.1691) q[3], q[1];\ncrx(0.1566) q[3], q[0];\ncrx(-0.0895) q[2], q[8];\ncrx(-0.7268) q[2], q[7];\ncrx(0.5436) q[2], q[6];\ncrx(0.1248) q[2], q[5];\ncrx(0.6296) q[2], q[4];\ncrx(0.1046) q[2], q[3];\ncrx(0.1691) q[2], q[1];\ncrx(0.1566) q[2], q[0];\ncrx(-0.0895) q[1], q[8];\ncrx(-0.7268) q[1], q[7];\ncrx(0.5436) q[1], q[6];\ncrx(0.1248) q[1], q[5];\ncrx(0.6296) q[1], q[4];\ncrx(0.1046) q[1], q[3];\ncrx(0.1705) q[1], q[2];\ncrx(0.1566) q[1], q[0];\ncrx(-0.0895) q[0], q[8];\ncrx(-0.7268) q[0], q[7];\ncrx(0.5436) q[0], q[6];\ncrx(0.1248) q[0], q[5];\ncrx(0.6296) q[0], q[4];\ncrx(0.1046) q[0], q[3];\ncrx(0.1705) q[0], q[2];\ncrx(0.1691) q[0], q[1];\nrx(0.8932) q[0];\nrz(0.0097) q[0];\nrx(0.7666) q[1];\nrz(0.0008) q[1];\nrx(0.686) q[2];\nrz(0.0051) q[2];\nrx(1.0902) q[3];\nrz(0.0052) q[3];\nrx(1.4902) q[4];\nrz(0) q[4];\nrx(0.8831) q[5];\nrz(0.0046) q[5];\nrx(1.4889) q[6];\nrz(0.0094) q[6];\nrx(0.87) q[7];\nrz(0.0079) q[7];\nrx(0.582) q[8];\nrz(0.0017) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrx(x18) q[8], q[7];\ncrx(x19) q[8], q[6];\ncrx(x20) q[8], q[5];\ncrx(x21) q[8], q[4];\ncrx(x22) q[8], q[3];\ncrx(x23) q[8], q[2];\ncrx(x24) q[8], q[1];\ncrx(x25) q[8], q[0];\ncrx(x26) q[7], q[8];\ncrx(x19) q[7], q[6];\ncrx(x20) q[7], q[5];\ncrx(x21) q[7], q[4];\ncrx(x22) q[7], q[3];\ncrx(x23) q[7], q[2];\ncrx(x24) q[7], q[1];\ncrx(x25) q[7], q[0];\ncrx(x26) q[6], q[8];\ncrx(x18) q[6], q[7];\ncrx(x20) q[6], q[5];\ncrx(x21) q[6], q[4];\ncrx(x22) q[6], q[3];\ncrx(x23) q[6], q[2];\ncrx(x24) q[6], q[1];\ncrx(x25) q[6], q[0];\ncrx(x26) q[5], q[8];\ncrx(x18) q[5], q[7];\ncrx(x19) q[5], q[6];\ncrx(x21) q[5], q[4];\ncrx(x22) q[5], q[3];\ncrx(x23) q[5], q[2];\ncrx(x24) q[5], q[1];\ncrx(x25) q[5], q[0];\ncrx(x26) q[4], q[8];\ncrx(x18) q[4], q[7];\ncrx(x19) q[4], q[6];\ncrx(x20) q[4], q[5];\ncrx(x22) q[4], q[3];\ncrx(x23) q[4], q[2];\ncrx(x24) q[4], q[1];\ncrx(x25) q[4], q[0];\ncrx(x26) q[3], q[8];\ncrx(x18) q[3], q[7];\ncrx(x19) q[3], q[6];\ncrx(x20) q[3], q[5];\ncrx(x21) q[3], q[4];\ncrx(x23) q[3], q[2];\ncrx(x24) q[3], q[1];\ncrx(x25) q[3], q[0];\ncrx(x26) q[2], q[8];\ncrx(x18) q[2], q[7];\ncrx(x19) q[2], q[6];\ncrx(x20) q[2], q[5];\ncrx(x21) q[2], q[4];\ncrx(x22) q[2], q[3];\ncrx(x24) q[2], q[1];\ncrx(x25) q[2], q[0];\ncrx(x26) q[1], q[8];\ncrx(x18) q[1], q[7];\ncrx(x19) q[1], q[6];\ncrx(x20) q[1], q[5];\ncrx(x21) q[1], q[4];\ncrx(x22) q[1], q[3];\ncrx(x23) q[1], q[2];\ncrx(x25) q[1], q[0];\ncrx(x26) q[0], q[8];\ncrx(x18) q[0], q[7];\ncrx(x19) q[0], q[6];\ncrx(x20) q[0], q[5];\ncrx(x21) q[0], q[4];\ncrx(x22) q[0], q[3];\ncrx(x23) q[0], q[2];\ncrx(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x6) q[6];\nrz(x39) q[6];\nrx(x40) q[7];\nrz(x41) q[7];\nrx(x42) q[8];\nrz(x43) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["57ee338fb11c54f5732d695ad617aa60","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 6, \"source\": 3, \"target\": 2}, {\"capacity\": 6, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 3, \"source\": 5, \"target\": 3}, {\"capacity\": 4, \"source\": 5, \"target\": 8}, {\"capacity\": 5, \"source\": 6, \"target\": 1}, {\"capacity\": 3, \"source\": 6, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 5}, {\"capacity\": 7, \"source\": 6, \"target\": 7}, {\"capacity\": 3, \"source\": 6, \"target\": 8}, {\"capacity\": 1, \"source\": 7, \"target\": 1}, {\"capacity\": 7, \"source\": 7, \"target\": 3}, {\"capacity\": 5, \"source\": 7, \"target\": 8}]}","{\"states\": [256, 255], \"expectation_value\": -0.7712226916491545, \"params\": [[-0.043300000000000005], [0.0504]], \"bitstrings\": [\"011111111\", \"100000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0025801168482642973, 0.002592103762957923], \"optimization_time\": 3.024535894393921}","-0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -3.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -0.25 * Z(0) + -2.0 * Z(8) + -2.75 * Z(2) + -0.75 * Z(3) + -0.25 * Z(7) + 2.25 * Z(4) + 0.5 * Z(5) + 4.25 * Z(6)",1,9,1,"{\"smallest_eigenvalues\": [-18.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -17.5, \"smallest_bitstrings\": [\"100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.065) q[0];\ncx q[1], q[0];\ncx q[0], q[8];\nrz(-0.0866) q[8];\ncx q[0], q[8];\ncx q[1], q[2];\nrz(0.065) q[2];\ncx q[1], q[2];\ncx q[1], q[3];\nrz(0.1083) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.1299) q[3];\ncx q[2], q[3];\ncx q[1], q[7];\nrz(0.0217) q[7];\ncx q[1], q[7];\ncx q[8], q[7];\nrz(0.1083) q[7];\ncx q[8], q[7];\ncx q[2], q[7];\nrz(0.0217) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.2815) q[7];\ncx q[3], q[7];\ncx q[1], q[4];\nrz(0.0433) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(0.0217) q[5];\ncx q[1], q[5];\ncx q[8], q[5];\nrz(0.0866) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(0.065) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0866) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.1083) q[6];\ncx q[1], q[6];\ncx q[8], q[6];\nrz(0.065) q[6];\ncx q[8], q[6];\ncx q[2], q[6];\nrz(0.065) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(0.1516) q[6];\ncx q[7], q[6];\ncx q[4], q[6];\nrz(0.065) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0433) q[6];\ncx q[5], q[6];\nrz(0.0866) q[1];\nrz(0.0217) q[0];\nrz(0.1732) q[8];\nrz(0.2382) q[2];\nrz(0.065) q[3];\nrz(0.0217) q[7];\nrz(-0.1949) q[4];\nrz(-0.0433) q[5];\nrz(-0.3681) q[6];\nh q[0];\nrz(0.1008) q[0];\nh q[0];\nh q[1];\nrz(0.1008) q[1];\nh q[1];\nh q[2];\nrz(0.1008) q[2];\nh q[2];\nh q[3];\nrz(0.1008) q[3];\nh q[3];\nh q[4];\nrz(0.1008) q[4];\nh q[4];\nh q[5];\nrz(0.1008) q[5];\nh q[5];\nh q[6];\nrz(0.1008) q[6];\nh q[6];\nh q[7];\nrz(0.1008) q[7];\nh q[7];\nh q[8];\nrz(0.1008) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[8];\nrz(x1) q[8];\ncx q[0], q[8];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x3) q[3];\ncx q[2], q[3];\ncx q[1], q[7];\nrz(x4) q[7];\ncx q[1], q[7];\ncx q[8], q[7];\nrz(x2) q[7];\ncx q[8], q[7];\ncx q[2], q[7];\nrz(x4) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x5) q[7];\ncx q[3], q[7];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[8], q[5];\nrz(x7) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x7) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[8], q[6];\nrz(x0) q[6];\ncx q[8], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[7], q[6];\nrz(x8) q[6];\ncx q[7], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\nrz(x7) q[1];\nrz(x4) q[0];\nrz(x9) q[8];\nrz(x10) q[2];\nrz(x0) q[3];\nrz(x4) q[7];\nrz(x11) q[4];\nrz(x12) q[5];\nrz(x13) q[6];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nh q[4];\nrz(x14) q[4];\nh q[4];\nh q[5];\nrz(x14) q[5];\nh q[5];\nh q[6];\nrz(x14) q[6];\nh q[6];\nh q[7];\nrz(x14) q[7];\nh q[7];\nh q[8];\nrz(x14) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["629504279f468411145abc8bbc01a7ac","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 9}]}","{\"states\": [24, 31], \"expectation_value\": -16.087376244452752, \"params\": [-0.0025, 0.0066, -0.0025, 0.006500000000000001, -0.0025, 0.0008, -0.0026000000000000003, 1.7444000000000002, -0.0018000000000000002, -0.29510000000000003, 2.8259000000000003, 0.0034000000000000002, -0.0018000000000000002, 0.2868, -0.0024000000000000002, 0.31270000000000003, 1.6448, 0.0017000000000000001, 0.0036000000000000003, -0.0007, 0.0034000000000000002, -0.0026000000000000003, 3.1375, 0.35700000000000004, 3.1392, 3.1389], \"bitstrings\": [\"111100111\", \"111100000\"], \"total_optimization_steps\": 450, \"probabilities\": [0.45160159248495113, 0.5367037169067688], \"optimization_time\": 12.506171703338623}","-2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8)",4,9,1,"{\"smallest_eigenvalues\": [-17.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"111100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(-0.0025) q[0];\nrz(0.0066) q[0];\nrx(-0.0025) q[1];\nrz(0.0065) q[1];\nrx(-0.0025) q[2];\nrz(0.0008) q[2];\nrx(-0.0026) q[3];\nrz(1.7444) q[3];\nrx(-0.0018) q[4];\nrz(-0.2951) q[4];\nrx(2.8259) q[5];\nrz(0.0034) q[5];\nrx(-0.0018) q[6];\nrz(0.2868) q[6];\nrx(-0.0024) q[7];\nrz(0.3127) q[7];\nrx(1.6448) q[8];\nrz(0.0017) q[8];\ncrx(3.1389) q[8], q[7];\ncrx(3.1392) q[7], q[6];\ncrx(0.357) q[6], q[5];\ncrx(3.1375) q[5], q[4];\ncrx(-0.0026) q[4], q[3];\ncrx(0.0034) q[3], q[2];\ncrx(-0.0007) q[2], q[1];\ncrx(0.0036) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x0) q[1];\nrz(x2) q[1];\nrx(x0) q[2];\nrz(x3) q[2];\nrx(x4) q[3];\nrz(x5) q[3];\nrx(x6) q[4];\nrz(x7) q[4];\nrx(x8) q[5];\nrz(x9) q[5];\nrx(x6) q[6];\nrz(x10) q[6];\nrx(x11) q[7];\nrz(x12) q[7];\nrx(x13) q[8];\nrz(x14) q[8];\ncrx(x15) q[8], q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[6], q[5];\ncrx(x18) q[5], q[4];\ncrx(x4) q[4], q[3];\ncrx(x9) q[3], q[2];\ncrx(x19) q[2], q[1];\ncrx(x20) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 0}","{\"circuits\": [], \"gradients\": []}"]
["5309148990881866697","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[5, 6], [2, 3], [0, 5], [3, 6], [4, 6], [1, 6], [0, 1], [1, 2]]}","{\"states\": [108, 46], \"expectation_value\": -3.2601982925040933, \"params\": null, \"bitstrings\": [\"0010011\", \"1010001\"], \"total_optimization_steps\": 57, \"probabilities\": [0.09974549729020596, 0.7384181773135707], \"optimization_time\": 54.59859323501587}","0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1)",1,7,1,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"0101110\", \"1010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], q[6];\ncry(-1.0342) q[3], q[2];\nry(1.0293) q[3];\ncry(1.4052) q[3], q[1];\ncry(-0.9035) q[1], q[2];\ncry(-0.7688) q[3], q[6];\ncry(-1.4141) q[5], q[0];\nry(1.0622) q[5];\ncry(-0.6505) q[1], q[0];\nry(1.3261) q[4];\ncry(-0.232) q[1], q[6];\ncry(0.3882) q[1], q[5];\ncry(0.3265) q[4], q[3];\ncry(0.176) q[5], q[1];\nry(-0.1587) q[0];\ncry(-0.0699) q[4], q[6];\ncry(0.2152) q[1], q[4];\ncry(0.0949) q[3], q[5];\ncry(-0.0427) q[4], q[2];\ncry(-0.0457) q[3], q[0];\nry(-0.014) q[6];\ncry(0.0296) q[1], q[3];\ncry(-0.0707) q[2], q[6];\ncry(0.0712) q[2], q[1];\ncry(-0.0158) q[5], q[2];\ncry(0.0309) q[5], q[4];\nry(0.0124) q[1];\ncry(-0.0391) q[6], q[1];\ncry(0.0113) q[4], q[5];\ncry(-0.0352) q[2], q[5];\ncry(0.0302) q[0], q[6];\ncry(-0.0341) q[6], q[3];\ncry(-0.0337) q[0], q[5];\ncry(0.0168) q[4], q[0];\ncry(-0.0366) q[6], q[5];\ncry(0.039) q[6], q[0];\ncry(-0.0312) q[2], q[3];\ncry(0.0274) q[6], q[2];\ncry(0.0236) q[2], q[0];\ncry(-0.0193) q[0], q[1];\nry(0.0059) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":52478,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\ncry(-1.0342) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\ncry(-1.0342) q[3], q[2];\\nry(1.0293) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\ncry(-1.0342) q[3], q[2];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\ncry(-1.0342) q[3], q[2];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\ncry(-1.0342) q[3], q[2];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[2];\\ncry(-0.7688) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\ncry(-1.0342) q[3], q[2];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[2];\\ncry(-0.7688) q[3], q[6];\\ncry(-1.4141) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\ncry(-1.0342) q[3], q[2];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[2];\\ncry(-0.7688) q[3], q[6];\\ncry(-1.4141) q[5], q[0];\\nry(1.0622) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\ncry(-1.0342) q[3], q[2];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[2];\\ncry(-0.7688) q[3], q[6];\\ncry(-1.4141) q[5], q[0];\\nry(1.0622) q[5];\\ncry(-0.6505) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[5], q[6];\\ncry(-1.0342) q[3], q[2];\\nry(1.0293) q[3];\\ncry(1.4052) q[3], q[1];\\ncry(-0.9035) q[1], q[2];\\ncry(-0.7688) q[3], q[6];\\ncry(-1.4141) q[5], q[0];\\nry(1.0622) q[5];\\ncry(-0.6505) q[1], q[0];\\nry(1.3261) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];"}}]
["f20b14ccaf46fd91ed39b9c05edbe906","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [53, 78], \"expectation_value\": -0.028544669564749204, \"params\": [[-0.0408, 0.043000000000000003], [0.0629, -0.022000000000000002]], \"bitstrings\": [\"1001010\", \"0110001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008183814824023302, 0.008183814824023321], \"optimization_time\": 5.374711275100708}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(6) @ Z(3)) + -0.125 * (Z(5) @ Z(1) @ Z(6)) + -0.125 * (Z(5) @ Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(1) @ Z(6) @ Z(3)) + -0.25 * Z(0) + -0.125 * Z(1) + -0.25 * Z(2) + -0.125 * Z(3) + 0.0 * Z(4) + 0.125 * Z(5) + 0.125 * Z(6)",1,7,2,"{\"smallest_eigenvalues\": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], \"number_of_smallest_eigenvalues\": 9, \"first_excited_energy\": -1.125, \"smallest_bitstrings\": [\"1010001\", \"1001010\", \"0110001\", \"1110000\", \"1011000\", \"0101100\", \"1010010\", \"0110100\", \"1001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0408) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(-0.0408) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(-0.0204) q[4];\ncx q[2], q[4];\ncx q[2], q[5];\nrz(-0.0204) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.0204) q[4];\ncx q[5], q[4];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(0.0204) q[4];\ncx q[5], q[4];\ncx q[2], q[5];\ncx q[0], q[4];\nrz(-0.0204) q[4];\ncx q[0], q[4];\ncx q[6], q[0];\nrz(-0.0204) q[0];\ncx q[6], q[0];\ncx q[6], q[4];\nrz(-0.0204) q[4];\ncx q[6], q[4];\ncx q[6], q[0];\ncx q[0], q[4];\nrz(0.0204) q[4];\ncx q[0], q[4];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(-0.0102) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.0102) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(-0.0102) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(-0.0102) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(-0.0102) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(-0.0102) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(0.0102) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[3], q[6];\ncx q[6], q[1];\nrz(0.0102) q[1];\ncx q[6], q[1];\ncx q[3], q[6];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(0.0102) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(0.0102) q[5];\ncx q[6], q[5];\ncx q[3], q[6];\ncx q[3], q[6];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(-0.0102) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[3], q[6];\nrz(0.0204) q[0];\nrz(0.0102) q[1];\nrz(0.0204) q[2];\nrz(0.0102) q[3];\nrz(0) q[4];\nrz(-0.0102) q[5];\nrz(-0.0102) q[6];\nh q[0];\nrz(0.1258) q[0];\nh q[0];\nh q[1];\nrz(0.1258) q[1];\nh q[1];\nh q[2];\nrz(0.1258) q[2];\nh q[2];\nh q[3];\nrz(0.1258) q[3];\nh q[3];\nh q[4];\nrz(0.1258) q[4];\nh q[4];\nh q[5];\nrz(0.1258) q[5];\nh q[5];\nh q[6];\nrz(0.1258) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.043) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(0.043) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(0.0215) q[4];\ncx q[2], q[4];\ncx q[2], q[5];\nrz(0.0215) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(0.0215) q[4];\ncx q[5], q[4];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.0215) q[4];\ncx q[5], q[4];\ncx q[2], q[5];\ncx q[0], q[4];\nrz(0.0215) q[4];\ncx q[0], q[4];\ncx q[6], q[0];\nrz(0.0215) q[0];\ncx q[6], q[0];\ncx q[6], q[4];\nrz(0.0215) q[4];\ncx q[6], q[4];\ncx q[6], q[0];\ncx q[0], q[4];\nrz(-0.0215) q[4];\ncx q[0], q[4];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(0.0108) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(0.0108) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(0.0108) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(0.0108) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(0.0108) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(0.0108) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.0108) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[3], q[6];\ncx q[6], q[1];\nrz(-0.0108) q[1];\ncx q[6], q[1];\ncx q[3], q[6];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(-0.0108) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(-0.0108) q[5];\ncx q[6], q[5];\ncx q[3], q[6];\ncx q[3], q[6];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(0.0108) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[3], q[6];\nrz(-0.0215) q[0];\nrz(-0.0108) q[1];\nrz(-0.0215) q[2];\nrz(-0.0108) q[3];\nrz(0) q[4];\nrz(0.0108) q[5];\nrz(0.0108) q[6];\nh q[0];\nrz(-0.044) q[0];\nh q[0];\nh q[1];\nrz(-0.044) q[1];\nh q[1];\nh q[2];\nrz(-0.044) q[2];\nh q[2];\nh q[3];\nrz(-0.044) q[3];\nh q[3];\nh q[4];\nrz(-0.044) q[4];\nh q[4];\nh q[5];\nrz(-0.044) q[5];\nh q[5];\nh q[6];\nrz(-0.044) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x2) q[4];\ncx q[5], q[4];\ncx q[2], q[5];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[6], q[0];\nrz(x1) q[0];\ncx q[6], q[0];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\ncx q[6], q[0];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(x3) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(x3) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x3) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x3) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[3], q[6];\ncx q[6], q[1];\nrz(x4) q[1];\ncx q[6], q[1];\ncx q[3], q[6];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x4) q[5];\ncx q[6], q[5];\ncx q[3], q[6];\ncx q[3], q[6];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[3], q[6];\nrz(x2) q[0];\nrz(x4) q[1];\nrz(x2) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x3) q[5];\nrz(x3) q[6];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[3], q[2];\nrz(x7) q[2];\ncx q[3], q[2];\ncx q[2], q[4];\nrz(x8) q[4];\ncx q[2], q[4];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x8) q[4];\ncx q[5], q[4];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x9) q[4];\ncx q[5], q[4];\ncx q[2], q[5];\ncx q[0], q[4];\nrz(x8) q[4];\ncx q[0], q[4];\ncx q[6], q[0];\nrz(x8) q[0];\ncx q[6], q[0];\ncx q[6], q[4];\nrz(x8) q[4];\ncx q[6], q[4];\ncx q[6], q[0];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[6], q[0];\ncx q[3], q[1];\nrz(x10) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(x10) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[3], q[6];\ncx q[6], q[1];\nrz(x11) q[1];\ncx q[6], q[1];\ncx q[3], q[6];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[3], q[6];\ncx q[6], q[5];\nrz(x11) q[5];\ncx q[6], q[5];\ncx q[3], q[6];\ncx q[3], q[6];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[3], q[6];\nrz(x9) q[0];\nrz(x11) q[1];\nrz(x9) q[2];\nrz(x11) q[3];\nrz(x5) q[4];\nrz(x10) q[5];\nrz(x10) q[6];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["1191675002883320459","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 8, 3, 6], [8, 1], [2, 3], [4, 6], [4, 5], [2, 7]]}","{\"states\": [303, 47], \"expectation_value\": -2.4596107345395644, \"params\": [0.7334, 0.6876, -0.0041, -0.0187, 0.06620000000000001, 0.062, 1.4958, 1.4953, 0.2209, 0.07540000000000001, 1.4149, 1.2963, 1.498, 1.4905000000000002, 1.4948000000000001, 1.4809, 1.4963, 1.4964000000000002, 0.4662, 0.544, -0.21530000000000002, 0.4811, -0.0126, 0.10830000000000001, -1.1461000000000001, 0.2637, 0.0796, -0.8996000000000001, -1.1400000000000001, 0.3991, 0.8314, -0.8245, 0.3452, 0.218, 1.2751000000000001, 0.0918], \"bitstrings\": [\"011010000\", \"111010000\"], \"total_optimization_steps\": 150, \"probabilities\": [0.37198885400883663, 0.481539778167228], \"optimization_time\": 158.52435755729675}","0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.125 * Z(8) + 0.125 * Z(0) + 0.125 * Z(3) + 0.125 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7)",14,9,1,"{\"smallest_eigenvalues\": [-2.75, -2.75, -2.75, -2.75], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.666666666666667, \"smallest_bitstrings\": [\"001010001\", \"011001100\", \"111010000\", \"010110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.7334) q[0];\nry(-0.0041) q[1];\nry(0.0662) q[2];\nry(1.4958) q[3];\nry(0.2209) q[4];\nry(1.4149) q[5];\nry(1.498) q[6];\nry(1.4948) q[7];\nry(1.4963) q[8];\ncrx(0.4662) q[8], q[0];\ncrx(1.2751) q[7], q[8];\ncrx(0.3452) q[6], q[7];\ncrx(0.8314) q[5], q[6];\ncrx(-1.14) q[4], q[5];\ncrx(0.0796) q[3], q[4];\ncrx(-1.1461) q[2], q[3];\ncrx(-0.0126) q[1], q[2];\ncrx(-0.2153) q[0], q[1];\nry(0.6876) q[0];\nry(-0.0187) q[1];\nry(0.062) q[2];\nry(1.4953) q[3];\nry(0.0754) q[4];\nry(1.2963) q[5];\nry(1.4905) q[6];\nry(1.4809) q[7];\nry(1.4964) q[8];\ncrx(0.544) q[8], q[7];\ncrx(0.4811) q[0], q[8];\ncrx(0.1083) q[0], q[1];\ncrx(0.2637) q[1], q[2];\ncrx(-0.8996) q[2], q[3];\ncrx(0.3991) q[3], q[4];\ncrx(-0.8245) q[4], q[5];\ncrx(0.218) q[5], q[6];\ncrx(0.0918) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x31) q[2], q[3];\ncrx(x32) q[3], q[4];\ncrx(x33) q[4], q[5];\ncrx(x34) q[5], q[6];\ncrx(x35) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["8ccb61531a0518dab46daa7987f55ae4","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 9}]}","{\"states\": [0, 455], \"expectation_value\": -16.0774253973796, \"params\": [0.3912, 0.22640000000000002, -0.0606, 0.7267, -0.8375, 1.6109, 0.44670000000000004, 0.6305000000000001, -0.8545, 1.0967, 0.1469, 0.38520000000000004, 0.0044, 1.1006, 0.0036000000000000003, 0.00030000000000000003, 0.0041, 2.1744, -0.0038, 0.9643, -0.0011, 1.7187000000000001, 0.0039000000000000003, 0.6095, -0.8876000000000001, 1.2013, 0.17, 0.2051, -0.865, 1.2875, -0.0196, 0.4086, -0.8329000000000001, 1.1005, -0.1592, 0.6115, 0.1231, 1.5624, 0.10200000000000001, 0.0094, -0.5306000000000001, 1.5247000000000002, -0.0375, 0.004, -0.056600000000000004, 0.07930000000000001, -0.0984, 0.004, 0.0032, 0.9681000000000001, 0.0008, 0.0086, 0.003, 1.5784, 0.0031000000000000003, 0.0098, -0.0029000000000000002, 1.1065, -0.0002, 0.0088, -0.0262, 0.1809, -0.24530000000000002, 0.008400000000000001, -0.10790000000000001, -0.299, -0.0307, 0.0081, -0.07150000000000001, 0.38620000000000004, -0.0263, 0.0025, 2.3036000000000003, 2.1407000000000003, 0.6448, 0.0074, -0.0004, 0.0014, 0.7476, 0.8473, 1.1579000000000002, 0.2695, 0.2659, 0.2873, -0.00030000000000000003, 0.0025, -0.0017000000000000001, 0.22540000000000002, 0.1573, 0.049100000000000005], \"bitstrings\": [\"111111111\", \"000111000\"], \"total_optimization_steps\": 400, \"probabilities\": [0.40304647489640244, 0.5132934992273451], \"optimization_time\": 139.86392259597778}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8)",6,9,2,"{\"smallest_eigenvalues\": [-19.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"000111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.3912) q[0];\nrz(0.2264) q[0];\nrx(-0.8375) q[1];\nrz(1.6109) q[1];\nrx(-0.8545) q[2];\nrz(1.0967) q[2];\nrx(0.0044) q[3];\nrz(1.1006) q[3];\nrx(0.0041) q[4];\nrz(2.1744) q[4];\nrx(-0.0011) q[5];\nrz(1.7187) q[5];\nrx(-0.8876) q[6];\nrz(1.2013) q[6];\nrx(-0.865) q[7];\nrz(1.2875) q[7];\nrx(-0.8329) q[8];\nrz(1.1005) q[8];\ncrx(0.8473) q[8], q[7];\ncrx(0.7476) q[8], q[6];\ncrx(0.0014) q[8], q[5];\ncrx(-0.0004) q[8], q[4];\ncrx(0.0074) q[8], q[3];\ncrx(0.6448) q[8], q[2];\ncrx(2.1407) q[8], q[1];\ncrx(2.3036) q[8], q[0];\ncrx(1.1579) q[7], q[8];\ncrx(0.7476) q[7], q[6];\ncrx(0.0014) q[7], q[5];\ncrx(-0.0004) q[7], q[4];\ncrx(0.0074) q[7], q[3];\ncrx(0.6448) q[7], q[2];\ncrx(2.1407) q[7], q[1];\ncrx(2.3036) q[7], q[0];\ncrx(1.1579) q[6], q[8];\ncrx(0.8473) q[6], q[7];\ncrx(0.0014) q[6], q[5];\ncrx(-0.0004) q[6], q[4];\ncrx(0.0074) q[6], q[3];\ncrx(0.6448) q[6], q[2];\ncrx(2.1407) q[6], q[1];\ncrx(2.3036) q[6], q[0];\ncrx(1.1579) q[5], q[8];\ncrx(0.8473) q[5], q[7];\ncrx(0.7476) q[5], q[6];\ncrx(-0.0004) q[5], q[4];\ncrx(0.0074) q[5], q[3];\ncrx(0.6448) q[5], q[2];\ncrx(2.1407) q[5], q[1];\ncrx(2.3036) q[5], q[0];\ncrx(1.1579) q[4], q[8];\ncrx(0.8473) q[4], q[7];\ncrx(0.7476) q[4], q[6];\ncrx(0.0014) q[4], q[5];\ncrx(0.0074) q[4], q[3];\ncrx(0.6448) q[4], q[2];\ncrx(2.1407) q[4], q[1];\ncrx(2.3036) q[4], q[0];\ncrx(1.1579) q[3], q[8];\ncrx(0.8473) q[3], q[7];\ncrx(0.7476) q[3], q[6];\ncrx(0.0014) q[3], q[5];\ncrx(-0.0004) q[3], q[4];\ncrx(0.6448) q[3], q[2];\ncrx(2.1407) q[3], q[1];\ncrx(2.3036) q[3], q[0];\ncrx(1.1579) q[2], q[8];\ncrx(0.8473) q[2], q[7];\ncrx(0.7476) q[2], q[6];\ncrx(0.0014) q[2], q[5];\ncrx(-0.0004) q[2], q[4];\ncrx(0.0074) q[2], q[3];\ncrx(2.1407) q[2], q[1];\ncrx(2.3036) q[2], q[0];\ncrx(1.1579) q[1], q[8];\ncrx(0.8473) q[1], q[7];\ncrx(0.7476) q[1], q[6];\ncrx(0.0014) q[1], q[5];\ncrx(-0.0004) q[1], q[4];\ncrx(0.0074) q[1], q[3];\ncrx(0.6448) q[1], q[2];\ncrx(2.3036) q[1], q[0];\ncrx(1.1579) q[0], q[8];\ncrx(0.8473) q[0], q[7];\ncrx(0.7476) q[0], q[6];\ncrx(0.0014) q[0], q[5];\ncrx(-0.0004) q[0], q[4];\ncrx(0.0074) q[0], q[3];\ncrx(0.6448) q[0], q[2];\ncrx(2.1407) q[0], q[1];\nrx(-0.0606) q[0];\nrz(0.7267) q[0];\nrx(0.4467) q[1];\nrz(0.6305) q[1];\nrx(0.1469) q[2];\nrz(0.3852) q[2];\nrx(0.0036) q[3];\nrz(0.0003) q[3];\nrx(-0.0038) q[4];\nrz(0.9643) q[4];\nrx(0.0039) q[5];\nrz(0.6095) q[5];\nrx(0.17) q[6];\nrz(0.2051) q[6];\nrx(-0.0196) q[7];\nrz(0.4086) q[7];\nrx(-0.1592) q[8];\nrz(0.6115) q[8];\nrx(0.1231) q[0];\nrz(1.5624) q[0];\nrx(-0.5306) q[1];\nrz(1.5247) q[1];\nrx(-0.0566) q[2];\nrz(0.0793) q[2];\nrx(0.0032) q[3];\nrz(0.9681) q[3];\nrx(0.003) q[4];\nrz(1.5784) q[4];\nrx(-0.0029) q[5];\nrz(1.1065) q[5];\nrx(-0.0262) q[6];\nrz(0.1809) q[6];\nrx(-0.1079) q[7];\nrz(-0.299) q[7];\nrx(-0.0715) q[8];\nrz(0.3862) q[8];\ncrx(0.1573) q[8], q[7];\ncrx(0.2254) q[8], q[6];\ncrx(-0.0017) q[8], q[5];\ncrx(0.0025) q[8], q[4];\ncrx(-0.0003) q[8], q[3];\ncrx(0.2873) q[8], q[2];\ncrx(0.2659) q[8], q[1];\ncrx(0.2695) q[8], q[0];\ncrx(0.0491) q[7], q[8];\ncrx(0.2254) q[7], q[6];\ncrx(-0.0017) q[7], q[5];\ncrx(0.0025) q[7], q[4];\ncrx(-0.0003) q[7], q[3];\ncrx(0.2873) q[7], q[2];\ncrx(0.2659) q[7], q[1];\ncrx(0.2695) q[7], q[0];\ncrx(0.0491) q[6], q[8];\ncrx(0.1573) q[6], q[7];\ncrx(-0.0017) q[6], q[5];\ncrx(0.0025) q[6], q[4];\ncrx(-0.0003) q[6], q[3];\ncrx(0.2873) q[6], q[2];\ncrx(0.2659) q[6], q[1];\ncrx(0.2695) q[6], q[0];\ncrx(0.0491) q[5], q[8];\ncrx(0.1573) q[5], q[7];\ncrx(0.2254) q[5], q[6];\ncrx(0.0025) q[5], q[4];\ncrx(-0.0003) q[5], q[3];\ncrx(0.2873) q[5], q[2];\ncrx(0.2659) q[5], q[1];\ncrx(0.2695) q[5], q[0];\ncrx(0.0491) q[4], q[8];\ncrx(0.1573) q[4], q[7];\ncrx(0.2254) q[4], q[6];\ncrx(-0.0017) q[4], q[5];\ncrx(-0.0003) q[4], q[3];\ncrx(0.2873) q[4], q[2];\ncrx(0.2659) q[4], q[1];\ncrx(0.2695) q[4], q[0];\ncrx(0.0491) q[3], q[8];\ncrx(0.1573) q[3], q[7];\ncrx(0.2254) q[3], q[6];\ncrx(-0.0017) q[3], q[5];\ncrx(0.0025) q[3], q[4];\ncrx(0.2873) q[3], q[2];\ncrx(0.2659) q[3], q[1];\ncrx(0.2695) q[3], q[0];\ncrx(0.0491) q[2], q[8];\ncrx(0.1573) q[2], q[7];\ncrx(0.2254) q[2], q[6];\ncrx(-0.0017) q[2], q[5];\ncrx(0.0025) q[2], q[4];\ncrx(-0.0003) q[2], q[3];\ncrx(0.2659) q[2], q[1];\ncrx(0.2695) q[2], q[0];\ncrx(0.0491) q[1], q[8];\ncrx(0.1573) q[1], q[7];\ncrx(0.2254) q[1], q[6];\ncrx(-0.0017) q[1], q[5];\ncrx(0.0025) q[1], q[4];\ncrx(-0.0003) q[1], q[3];\ncrx(0.2873) q[1], q[2];\ncrx(0.2695) q[1], q[0];\ncrx(0.0491) q[0], q[8];\ncrx(0.1573) q[0], q[7];\ncrx(0.2254) q[0], q[6];\ncrx(-0.0017) q[0], q[5];\ncrx(0.0025) q[0], q[4];\ncrx(-0.0003) q[0], q[3];\ncrx(0.2873) q[0], q[2];\ncrx(0.2659) q[0], q[1];\nrx(0.102) q[0];\nrz(0.0094) q[0];\nrx(-0.0375) q[1];\nrz(0.004) q[1];\nrx(-0.0984) q[2];\nrz(0.004) q[2];\nrx(0.0008) q[3];\nrz(0.0086) q[3];\nrx(0.0031) q[4];\nrz(0.0098) q[4];\nrx(-0.0002) q[5];\nrz(0.0088) q[5];\nrx(-0.2453) q[6];\nrz(0.0084) q[6];\nrx(-0.0307) q[7];\nrz(0.0081) q[7];\nrx(-0.0263) q[8];\nrz(0.0025) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrx(x18) q[8], q[7];\ncrx(x19) q[8], q[6];\ncrx(x20) q[8], q[5];\ncrx(x21) q[8], q[4];\ncrx(x22) q[8], q[3];\ncrx(x23) q[8], q[2];\ncrx(x24) q[8], q[1];\ncrx(x25) q[8], q[0];\ncrx(x26) q[7], q[8];\ncrx(x19) q[7], q[6];\ncrx(x20) q[7], q[5];\ncrx(x21) q[7], q[4];\ncrx(x22) q[7], q[3];\ncrx(x23) q[7], q[2];\ncrx(x24) q[7], q[1];\ncrx(x25) q[7], q[0];\ncrx(x26) q[6], q[8];\ncrx(x18) q[6], q[7];\ncrx(x20) q[6], q[5];\ncrx(x21) q[6], q[4];\ncrx(x22) q[6], q[3];\ncrx(x23) q[6], q[2];\ncrx(x24) q[6], q[1];\ncrx(x25) q[6], q[0];\ncrx(x26) q[5], q[8];\ncrx(x18) q[5], q[7];\ncrx(x19) q[5], q[6];\ncrx(x21) q[5], q[4];\ncrx(x22) q[5], q[3];\ncrx(x23) q[5], q[2];\ncrx(x24) q[5], q[1];\ncrx(x25) q[5], q[0];\ncrx(x26) q[4], q[8];\ncrx(x18) q[4], q[7];\ncrx(x19) q[4], q[6];\ncrx(x20) q[4], q[5];\ncrx(x22) q[4], q[3];\ncrx(x23) q[4], q[2];\ncrx(x24) q[4], q[1];\ncrx(x25) q[4], q[0];\ncrx(x26) q[3], q[8];\ncrx(x18) q[3], q[7];\ncrx(x19) q[3], q[6];\ncrx(x20) q[3], q[5];\ncrx(x21) q[3], q[4];\ncrx(x23) q[3], q[2];\ncrx(x24) q[3], q[1];\ncrx(x25) q[3], q[0];\ncrx(x26) q[2], q[8];\ncrx(x18) q[2], q[7];\ncrx(x19) q[2], q[6];\ncrx(x20) q[2], q[5];\ncrx(x21) q[2], q[4];\ncrx(x22) q[2], q[3];\ncrx(x24) q[2], q[1];\ncrx(x25) q[2], q[0];\ncrx(x26) q[1], q[8];\ncrx(x18) q[1], q[7];\ncrx(x19) q[1], q[6];\ncrx(x20) q[1], q[5];\ncrx(x21) q[1], q[4];\ncrx(x22) q[1], q[3];\ncrx(x23) q[1], q[2];\ncrx(x25) q[1], q[0];\ncrx(x26) q[0], q[8];\ncrx(x18) q[0], q[7];\ncrx(x19) q[0], q[6];\ncrx(x20) q[0], q[5];\ncrx(x21) q[0], q[4];\ncrx(x22) q[0], q[3];\ncrx(x23) q[0], q[2];\ncrx(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x45) q[0];\nrz(x46) q[0];\nrx(x47) q[1];\nrz(x48) q[1];\nrx(x49) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x59) q[7];\nrz(x60) q[7];\nrx(x61) q[8];\nrz(x62) q[8];\ncrx(x63) q[8], q[7];\ncrx(x64) q[8], q[6];\ncrx(x65) q[8], q[5];\ncrx(x66) q[8], q[4];\ncrx(x67) q[8], q[3];\ncrx(x68) q[8], q[2];\ncrx(x69) q[8], q[1];\ncrx(x70) q[8], q[0];\ncrx(x71) q[7], q[8];\ncrx(x64) q[7], q[6];\ncrx(x65) q[7], q[5];\ncrx(x66) q[7], q[4];\ncrx(x67) q[7], q[3];\ncrx(x68) q[7], q[2];\ncrx(x69) q[7], q[1];\ncrx(x70) q[7], q[0];\ncrx(x71) q[6], q[8];\ncrx(x63) q[6], q[7];\ncrx(x65) q[6], q[5];\ncrx(x66) q[6], q[4];\ncrx(x67) q[6], q[3];\ncrx(x68) q[6], q[2];\ncrx(x69) q[6], q[1];\ncrx(x70) q[6], q[0];\ncrx(x71) q[5], q[8];\ncrx(x63) q[5], q[7];\ncrx(x64) q[5], q[6];\ncrx(x66) q[5], q[4];\ncrx(x67) q[5], q[3];\ncrx(x68) q[5], q[2];\ncrx(x69) q[5], q[1];\ncrx(x70) q[5], q[0];\ncrx(x71) q[4], q[8];\ncrx(x63) q[4], q[7];\ncrx(x64) q[4], q[6];\ncrx(x65) q[4], q[5];\ncrx(x67) q[4], q[3];\ncrx(x68) q[4], q[2];\ncrx(x69) q[4], q[1];\ncrx(x70) q[4], q[0];\ncrx(x71) q[3], q[8];\ncrx(x63) q[3], q[7];\ncrx(x64) q[3], q[6];\ncrx(x65) q[3], q[5];\ncrx(x66) q[3], q[4];\ncrx(x68) q[3], q[2];\ncrx(x69) q[3], q[1];\ncrx(x70) q[3], q[0];\ncrx(x71) q[2], q[8];\ncrx(x63) q[2], q[7];\ncrx(x64) q[2], q[6];\ncrx(x65) q[2], q[5];\ncrx(x66) q[2], q[4];\ncrx(x67) q[2], q[3];\ncrx(x69) q[2], q[1];\ncrx(x70) q[2], q[0];\ncrx(x71) q[1], q[8];\ncrx(x63) q[1], q[7];\ncrx(x64) q[1], q[6];\ncrx(x65) q[1], q[5];\ncrx(x66) q[1], q[4];\ncrx(x67) q[1], q[3];\ncrx(x68) q[1], q[2];\ncrx(x70) q[1], q[0];\ncrx(x71) q[0], q[8];\ncrx(x63) q[0], q[7];\ncrx(x64) q[0], q[6];\ncrx(x65) q[0], q[5];\ncrx(x66) q[0], q[4];\ncrx(x67) q[0], q[3];\ncrx(x68) q[0], q[2];\ncrx(x69) q[0], q[1];\nrx(x72) q[0];\nrz(x73) q[0];\nrx(x74) q[1];\nrz(x75) q[1];\nrx(x76) q[2];\nrz(x75) q[2];\nrx(x77) q[3];\nrz(x78) q[3];\nrx(x79) q[4];\nrz(x80) q[4];\nrx(x81) q[5];\nrz(x82) q[5];\nrx(x83) q[6];\nrz(x84) q[6];\nrx(x85) q[7];\nrz(x86) q[7];\nrx(x87) q[8];\nrz(x66) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["6851761526785165321","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[10, 4], [8, 9, 5, 1], [8, 7], [0, 9], [0, 6], [8, 1, 3, 6], [8, 2, 5], [10, 5], [0, 7], [9, 3], [1, 4], [1, 7], [8, 1, 2], [9, 4], [8, 10, 6], [2, 5, 7], [4, 6, 7], [3, 4]]}","{\"states\": [955, 923], \"expectation_value\": -4.70508536116392, \"params\": [[[-0.0028, 0.0007, 0.0006000000000000001, 0.0081], [1.0432000000000001, 0.0026000000000000003, 1.0456, 0.0008], [2.3896, 0.0044, 0.0019, 0.008700000000000001], [0.0026000000000000003, 0.4441, 1.5682, 0.0089], [-0.0022, 0.0039000000000000003, 0.0024000000000000002, 0.0041], [1.6681000000000001, -0.45480000000000004, 1.6655, 0.0066], [2.9023000000000003, 0.0074, 0.009000000000000001, 0.0051], [0.0024000000000000002, -0.6252, 1.5684, 0.009000000000000001], [-0.0026000000000000003, 0.008700000000000001, 0.003, 0.0089], [0.5426, 0.0018000000000000002, 1.3035, 0.0061], [2.8970000000000002, 0.0023, 0.0099, 0.0024000000000000002]]], \"bitstrings\": [\"10001000100\", \"10001100100\"], \"total_optimization_steps\": 290, \"probabilities\": [0.30927745193869266, 0.5308178730126647], \"optimization_time\": 26.982969284057617}","0.5 * (Z(10) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(10)) + 0.5 * (Z(9) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.5 * (Z(5) @ Z(10)) + 0.25 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(10)) + 0.25 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(9)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.16666666666666652 * Z(4) + 0.16666666666666652 * Z(10) + 0.7499999999999998 * Z(8) + 0.125 * Z(9) + 0.4583333333333335 * Z(5) + 0.4166666666666665 * Z(1) + 0.33333333333333304 * Z(7) + 0.0 * Z(0) + 0.45833333333333326 * Z(6) + 0.125 * Z(3) + 0.4999999999999999 * Z(2)",12,11,1,"{\"smallest_eigenvalues\": [-5.249999999999997], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.166666666666663, \"smallest_bitstrings\": [\"10001100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(-0.0028) q[0];\nrz(0.0007) q[0];\nry(1.0432) q[1];\nrz(0.0026) q[1];\nry(2.3896) q[2];\nrz(0.0044) q[2];\nry(0.0026) q[3];\nrz(0.4441) q[3];\nry(-0.0022) q[4];\nrz(0.0039) q[4];\nry(1.6681) q[5];\nrz(-0.4548) q[5];\nry(2.9023) q[6];\nrz(0.0074) q[6];\nry(0.0024) q[7];\nrz(-0.6252) q[7];\nry(-0.0026) q[8];\nrz(0.0087) q[8];\nry(0.5426) q[9];\nrz(0.0018) q[9];\nry(2.897) q[10];\nrz(0.0023) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(1.0456) q[1];\nry(1.0456) q[1];\nrz(0.0087) q[2];\nrz(0.0087) q[2];\ncz q[2], q[1];\nry(1.5682) q[3];\nry(1.5682) q[3];\nrz(0.0041) q[4];\nrz(0.0041) q[4];\ncz q[4], q[3];\nry(1.6655) q[5];\nry(1.6655) q[5];\nrz(0.0051) q[6];\nrz(0.0051) q[6];\ncz q[6], q[5];\nry(1.5684) q[7];\nry(1.5684) q[7];\nrz(0.0089) q[8];\nrz(0.0089) q[8];\ncz q[8], q[7];\nry(1.3035) q[9];\nry(1.3035) q[9];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x3) q[3];\nrz(x6) q[3];\nry(x7) q[4];\nrz(x8) q[4];\nry(x9) q[5];\nrz(x10) q[5];\nry(x11) q[6];\nrz(x12) q[6];\nry(x13) q[7];\nrz(x14) q[7];\nry(x15) q[8];\nrz(x16) q[8];\nry(x17) q[9];\nrz(x18) q[9];\nry(x19) q[10];\nrz(x20) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x21) q[1];\nry(x21) q[1];\nrz(x16) q[2];\nrz(x16) q[2];\ncz q[2], q[1];\nry(x22) q[3];\nry(x22) q[3];\nrz(x23) q[4];\nrz(x23) q[4];\ncz q[4], q[3];\nry(x24) q[5];\nry(x24) q[5];\nrz(x25) q[6];\nrz(x25) q[6];\ncz q[6], q[5];\nry(x26) q[7];\nry(x26) q[7];\nrz(x27) q[8];\nrz(x27) q[8];\ncz q[8], q[7];\nry(x28) q[9];\nry(x28) q[9];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["c502b67eb6d91d909ba398fa39bec60c","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}]}","{\"states\": [8, 0], \"expectation_value\": -2.124971219237058, \"params\": [-0.0054, 0.0517, -0.0048000000000000004, -0.0118, -0.005, 0.0733, -0.0049, -0.0449, -0.0009000000000000001, 0.0034000000000000002, 0.0011, 0.0037, -0.0002, 0.0014, -0.001, 0.0047, 0.0506, -0.0375, 0.0179, -0.0548, 0.0058000000000000005, 0.0054, 0.0076, 0.0011], \"bitstrings\": [\"0111\", \"1111\"], \"total_optimization_steps\": 10, \"probabilities\": [9.856930843932887e-06, 0.999971219535446], \"optimization_time\": 7.729138612747192}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + -0.625 * Z(0) + -0.625 * Z(1) + -0.625 * Z(2) + -0.625 * Z(3)",18,4,2,"{\"smallest_eigenvalues\": [-2.125], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.125, \"smallest_bitstrings\": [\"1111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nrx(-0.0054) q[0];\nrz(0.0517) q[0];\nrx(-0.0048) q[1];\nrz(-0.0118) q[1];\nrx(-0.005) q[2];\nrz(0.0733) q[2];\nrx(-0.0049) q[3];\nrz(-0.0449) q[3];\ncrz(0.0506) q[3], q[0];\ncrz(-0.0548) q[2], q[3];\ncrz(0.0179) q[1], q[2];\ncrz(-0.0375) q[0], q[1];\nrx(-0.0009) q[0];\nrz(0.0034) q[0];\nrx(0.0011) q[1];\nrz(0.0037) q[1];\nrx(-0.0002) q[2];\nrz(0.0014) q[2];\nrx(-0.001) q[3];\nrz(0.0047) q[3];\ncrz(0.0058) q[3], q[0];\ncrz(0.0011) q[2], q[3];\ncrz(0.0076) q[1], q[2];\ncrz(0.0054) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[4] c;\nqubit[4] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\ncrz(x8) q[3], q[0];\ncrz(x9) q[2], q[3];\ncrz(x10) q[1], q[2];\ncrz(x11) q[0], q[1];\nrx(x12) q[0];\nrz(x13) q[0];\nrx(x14) q[1];\nrz(x15) q[1];\nrx(x16) q[2];\nrz(x17) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\ncrz(x20) q[3], q[0];\ncrz(x14) q[2], q[3];\ncrz(x21) q[1], q[2];\ncrz(x22) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];",null,"{\"circuits\": [], \"gradients\": []}"]
["0a6de38544738238968ffe8fd3eccf1a","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 7}, {\"weight\": 6, \"source\": 1, \"target\": 8}, {\"weight\": 18, \"source\": 1, \"target\": 13}, {\"weight\": 2, \"source\": 2, \"target\": 9}, {\"weight\": 2, \"source\": 3, \"target\": 10}, {\"weight\": 20, \"source\": 3, \"target\": 11}, {\"weight\": 10, \"source\": 4, \"target\": 11}, {\"weight\": 20, \"source\": 4, \"target\": 8}, {\"weight\": 8, \"source\": 5, \"target\": 12}, {\"weight\": 12, \"source\": 5, \"target\": 9}, {\"weight\": 4, \"source\": 6, \"target\": 13}, {\"weight\": 13, \"source\": 6, \"target\": 10}]}","{\"states\": [1142, 1110], \"expectation_value\": -81.7818435199468, \"params\": [0.0023, 0.8103, 1.2031, 0.2841, 0.5898, 0.4753, 0.0032, -0.7352000000000001, 0.4898, 0.6098, 1.2013, 0.30460000000000004, 0.7745000000000001, 0.5518000000000001, 1.2026000000000001, 0.2112, -0.0223, 0.8541000000000001, 1.2048, 0.0021000000000000003, 1.2004000000000001, 0.2988, 0.5617, 0.49760000000000004, 0.0023, 0.004200000000000001, 1.2075, 0.008, 0.5845, 0.008400000000000001, 0.0032, 0.0034000000000000002, 0.4829, 0.0006000000000000001, 1.2046000000000001, 0.0092, 0.7752, 0.008400000000000001, 1.2062000000000002, 0.0066, -0.0178, 0.008, 1.202, 0.0079, 1.2046000000000001, 0.004, 0.5581, 0.0021000000000000003, -0.4884, -0.7876000000000001, 0.5658000000000001, -0.4747, 0.7084, 0.6441, 0.5779000000000001, 0.5534, 0.40140000000000003, 0.8689, 0.0024000000000000002, 0.5891000000000001, 0.008700000000000001, 0.0035, 0.0018000000000000002, 0.0005, 0.006, 0.0083, 0.0027, 0.0092, 0.0076, 0.0006000000000000001, 0.0057, 0.0057], \"bitstrings\": [\"101110001001\", \"101110101001\"], \"total_optimization_steps\": 120, \"probabilities\": [0.09211889523809297, 0.1471449740076765], \"optimization_time\": 18.922057390213013}","7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(3) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(11) @ Z(1)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(11)) + 9.0 * Z(1) + 3.0 * Z(2) + 10.0 * Z(5) + 1.0 * Z(4) + 5.0 * Z(6) + 10.0 * Z(7) + 6.0 * Z(9) + -6.5 * Z(3) + -3.5 * Z(8) + 2.0 * Z(11) + 6.5 * Z(10) + -12.5 * Z(0)",18,12,2,"{\"smallest_eigenvalues\": [-128.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -108.0, \"smallest_bitstrings\": [\"101110101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.0023) q[0];\nrz(0.8103) q[0];\nrx(1.2031) q[1];\nrz(0.2841) q[1];\nrx(0.5898) q[2];\nrz(0.4753) q[2];\nrx(0.0032) q[3];\nrz(-0.7352) q[3];\nrx(0.4898) q[4];\nrz(0.6098) q[4];\nrx(1.2013) q[5];\nrz(0.3046) q[5];\nrx(0.7745) q[6];\nrz(0.5518) q[6];\nrx(1.2026) q[7];\nrz(0.2112) q[7];\nrx(-0.0223) q[8];\nrz(0.8541) q[8];\nrx(1.2048) q[9];\nrz(0.0021) q[9];\nrx(1.2004) q[10];\nrz(0.2988) q[10];\nrx(0.5617) q[11];\nrz(0.4976) q[11];\ncrz(-0.4884) q[11], q[0];\ncrz(0.5891) q[10], q[11];\ncrz(0.0024) q[9], q[10];\ncrz(0.8689) q[8], q[9];\ncrz(0.4014) q[7], q[8];\ncrz(0.5534) q[6], q[7];\ncrz(0.5779) q[5], q[6];\ncrz(0.6441) q[4], q[5];\ncrz(0.7084) q[3], q[4];\ncrz(-0.4747) q[2], q[3];\ncrz(0.5658) q[1], q[2];\ncrz(-0.7876) q[0], q[1];\nrx(0.0023) q[0];\nrz(0.0042) q[0];\nrx(1.2075) q[1];\nrz(0.008) q[1];\nrx(0.5845) q[2];\nrz(0.0084) q[2];\nrx(0.0032) q[3];\nrz(0.0034) q[3];\nrx(0.4829) q[4];\nrz(0.0006) q[4];\nrx(1.2046) q[5];\nrz(0.0092) q[5];\nrx(0.7752) q[6];\nrz(0.0084) q[6];\nrx(1.2062) q[7];\nrz(0.0066) q[7];\nrx(-0.0178) q[8];\nrz(0.008) q[8];\nrx(1.202) q[9];\nrz(0.0079) q[9];\nrx(1.2046) q[10];\nrz(0.004) q[10];\nrx(0.5581) q[11];\nrz(0.0021) q[11];\ncrz(0.0087) q[11], q[0];\ncrz(0.0057) q[10], q[11];\ncrz(0.0057) q[9], q[10];\ncrz(0.0006) q[8], q[9];\ncrz(0.0076) q[7], q[8];\ncrz(0.0092) q[6], q[7];\ncrz(0.0027) q[5], q[6];\ncrz(0.0083) q[4], q[5];\ncrz(0.006) q[3], q[4];\ncrz(0.0005) q[2], q[3];\ncrz(0.0018) q[1], q[2];\ncrz(0.0035) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[11], q[0];\ncrz(x25) q[10], q[11];\ncrz(x26) q[9], q[10];\ncrz(x27) q[8], q[9];\ncrz(x28) q[7], q[8];\ncrz(x29) q[6], q[7];\ncrz(x30) q[5], q[6];\ncrz(x31) q[4], q[5];\ncrz(x32) q[3], q[4];\ncrz(x33) q[2], q[3];\ncrz(x34) q[1], q[2];\ncrz(x35) q[0], q[1];\nrx(x0) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x6) q[3];\nrz(x41) q[3];\nrx(x42) q[4];\nrz(x43) q[4];\nrx(x44) q[5];\nrz(x45) q[5];\nrx(x46) q[6];\nrz(x40) q[6];\nrx(x47) q[7];\nrz(x48) q[7];\nrx(x49) q[8];\nrz(x38) q[8];\nrx(x50) q[9];\nrz(x51) q[9];\nrx(x44) q[10];\nrz(x52) q[10];\nrx(x53) q[11];\nrz(x19) q[11];\ncrz(x54) q[11], q[0];\ncrz(x55) q[10], q[11];\ncrz(x55) q[9], q[10];\ncrz(x43) q[8], q[9];\ncrz(x56) q[7], q[8];\ncrz(x45) q[6], q[7];\ncrz(x57) q[5], q[6];\ncrz(x58) q[4], q[5];\ncrz(x59) q[3], q[4];\ncrz(x60) q[2], q[3];\ncrz(x61) q[1], q[2];\ncrz(x62) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10, 11, 12, 13]}\"}","{\"circuits\": [], \"gradients\": []}"]
["eaf152c9366c1fc70b9994ec462b6b4c","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 5}, {\"weight\": 19, \"source\": 0, \"target\": 2}, {\"weight\": 12, \"source\": 0, \"target\": 3}, {\"weight\": 11, \"source\": 1, \"target\": 5}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 20, \"source\": 3, \"target\": 5}, {\"weight\": 8, \"source\": 4, \"target\": 5}]}","{\"states\": [123, 122], \"expectation_value\": -16.148741589341082, \"params\": [[-0.0381, -0.0081, -0.0219], [0.057100000000000005, 0.0287, 0.0357]], \"bitstrings\": [\"10000100\", \"10000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.010370238258413576, 0.012301626722701095], \"optimization_time\": 6.228045701980591}","3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 8.5 * Z(0) + 16.5 * Z(2) + 20.5 * Z(3) + 12.5 * Z(4) + 5.0 * Z(5) + 20.5 * Z(6) + 7.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-76.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -70.0, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2667) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2667) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2667) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2667) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2667) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2667) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.2667) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.2667) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2667) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.2667) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(-0.2667) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.2667) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.2667) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.2667) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.2667) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.2667) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.2667) q[7];\ncx q[6], q[7];\nrz(-1.2573) q[1];\nrz(-0.6477) q[0];\nrz(-1.2573) q[2];\nrz(-1.5621) q[3];\nrz(-0.9525) q[4];\nrz(-0.381) q[5];\nrz(-1.5621) q[6];\nrz(-0.5715) q[7];\nh q[0];\nrz(0.1142) q[0];\nh q[0];\nh q[1];\nrz(0.1142) q[1];\nh q[1];\nh q[2];\nrz(0.1142) q[2];\nh q[2];\nh q[3];\nrz(0.1142) q[3];\nh q[3];\nh q[4];\nrz(0.1142) q[4];\nh q[4];\nh q[5];\nrz(0.1142) q[5];\nh q[5];\nh q[6];\nrz(0.1142) q[6];\nh q[6];\nh q[7];\nrz(0.1142) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0567) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0567) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0567) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0567) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0567) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0567) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.0567) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0567) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0567) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0567) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(-0.0567) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.0567) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0567) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0567) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.0567) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.0567) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0567) q[7];\ncx q[6], q[7];\nrz(-0.2673) q[1];\nrz(-0.1377) q[0];\nrz(-0.2673) q[2];\nrz(-0.3321) q[3];\nrz(-0.2025) q[4];\nrz(-0.081) q[5];\nrz(-0.3321) q[6];\nrz(-0.1215) q[7];\nh q[0];\nrz(0.0574) q[0];\nh q[0];\nh q[1];\nrz(0.0574) q[1];\nh q[1];\nh q[2];\nrz(0.0574) q[2];\nh q[2];\nh q[3];\nrz(0.0574) q[3];\nh q[3];\nh q[4];\nrz(0.0574) q[4];\nh q[4];\nh q[5];\nrz(0.0574) q[5];\nh q[5];\nh q[6];\nrz(0.0574) q[6];\nh q[6];\nh q[7];\nrz(0.0574) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.1533) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1533) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1533) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1533) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1533) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1533) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.1533) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.1533) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.1533) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.1533) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(-0.1533) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.1533) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.1533) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.1533) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.1533) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.1533) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.1533) q[7];\ncx q[6], q[7];\nrz(-0.7227) q[1];\nrz(-0.3723) q[0];\nrz(-0.7227) q[2];\nrz(-0.8979) q[3];\nrz(-0.5475) q[4];\nrz(-0.219) q[5];\nrz(-0.8979) q[6];\nrz(-0.3285) q[7];\nh q[0];\nrz(0.0714) q[0];\nh q[0];\nh q[1];\nrz(0.0714) q[1];\nh q[1];\nh q[2];\nrz(0.0714) q[2];\nh q[2];\nh q[3];\nrz(0.0714) q[3];\nh q[3];\nh q[4];\nrz(0.0714) q[4];\nh q[4];\nh q[5];\nrz(0.0714) q[5];\nh q[5];\nh q[6];\nrz(0.0714) q[6];\nh q[6];\nh q[7];\nrz(0.0714) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x1) q[2];\nrz(x3) q[3];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x3) q[6];\nrz(x6) q[7];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x8) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x8) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x8) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x8) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(x8) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x8) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x8) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x8) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x8) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x8) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x8) q[7];\ncx q[6], q[7];\nrz(x9) q[1];\nrz(x10) q[0];\nrz(x9) q[2];\nrz(x11) q[3];\nrz(x12) q[4];\nrz(x13) q[5];\nrz(x11) q[6];\nrz(x14) q[7];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x16) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x16) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x16) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x16) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x16) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x16) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x16) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x16) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x16) q[5];\ncx q[2], q[5];\ncx q[2], q[6];\nrz(x16) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x16) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x16) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x16) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x16) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x16) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x16) q[7];\ncx q[6], q[7];\nrz(x17) q[1];\nrz(x18) q[0];\nrz(x17) q[2];\nrz(x19) q[3];\nrz(x20) q[4];\nrz(x21) q[5];\nrz(x19) q[6];\nrz(x22) q[7];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\nh q[6];\nrz(x23) q[6];\nh q[6];\nh q[7];\nrz(x23) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 6}\"}","{\"circuits\": [], \"gradients\": []}"]
["253d3995de007ce15800f0023018551d","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 4, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 3}]}","{\"states\": [0, 1], \"expectation_value\": -7.852828366604655, \"params\": [0.005200000000000001, 0.24580000000000002, 0.0044, 0.4495, 0.0024000000000000002, 0.34440000000000004, 0.0043, 0.455, 0.006900000000000001, 0.2972, 0.0038, 0.4505, 0.6067, 0.0013000000000000002, 0.0032, 0.2964, -0.00030000000000000003, 0.3678, 0.0035, 0.3114, 0.0, 0.3659, 0.0028, -0.3028, 0.0008, 0.44220000000000004, 0.6034, 0.0034000000000000002, 0.0037, 0.0037, 0.0048000000000000004, 0.0047, 0.0024000000000000002, 0.0083, 0.0046, 0.0051, -0.0017000000000000001, 0.0014, 0.0038, 0.0059, 0.607, 0.0036000000000000003, -0.439, -0.3327, -0.44, -0.28350000000000003, -0.4471, 0.006900000000000001, -0.3512, -0.29550000000000004, -0.3533, 0.3038, -0.431, 0.0112, 0.0059, 0.009000000000000001, 0.0092, 0.0037, 0.009300000000000001, 0.0055000000000000005], \"bitstrings\": [\"1111111\", \"1111110\"], \"total_optimization_steps\": 60, \"probabilities\": [0.37806605981295266, 0.6218313366040169], \"optimization_time\": 6.426868438720703}","-0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5)",3,7,3,"{\"smallest_eigenvalues\": [-10.5, -10.5, -10.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -9.5, \"smallest_bitstrings\": [\"1111110\", \"1110000\", \"1110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0052) q[0];\nrz(0.2458) q[0];\nrx(0.0044) q[1];\nrz(0.4495) q[1];\nrx(0.0024) q[2];\nrz(0.3444) q[2];\nrx(0.0043) q[3];\nrz(0.455) q[3];\nrx(0.0069) q[4];\nrz(0.2972) q[4];\nrx(0.0038) q[5];\nrz(0.4505) q[5];\nrx(0.6067) q[6];\nrz(0.0013) q[6];\ncrz(0.0069) q[6], q[5];\ncrz(-0.4471) q[5], q[4];\ncrz(-0.2835) q[4], q[3];\ncrz(-0.44) q[3], q[2];\ncrz(-0.3327) q[2], q[1];\ncrz(-0.439) q[1], q[0];\nrx(0.0032) q[0];\nrz(0.2964) q[0];\nrx(-0.0003) q[1];\nrz(0.3678) q[1];\nrx(0.0035) q[2];\nrz(0.3114) q[2];\nrx(0) q[3];\nrz(0.3659) q[3];\nrx(0.0028) q[4];\nrz(-0.3028) q[4];\nrx(0.0008) q[5];\nrz(0.4422) q[5];\nrx(0.6034) q[6];\nrz(0.0034) q[6];\ncrz(0.0112) q[6], q[5];\ncrz(-0.431) q[5], q[4];\ncrz(0.3038) q[4], q[3];\ncrz(-0.3533) q[3], q[2];\ncrz(-0.2955) q[2], q[1];\ncrz(-0.3512) q[1], q[0];\nrx(0.0037) q[0];\nrz(0.0037) q[0];\nrx(0.0048) q[1];\nrz(0.0047) q[1];\nrx(0.0024) q[2];\nrz(0.0083) q[2];\nrx(0.0046) q[3];\nrz(0.0051) q[3];\nrx(-0.0017) q[4];\nrz(0.0014) q[4];\nrx(0.0038) q[5];\nrz(0.0059) q[5];\nrx(0.607) q[6];\nrz(0.0036) q[6];\ncrz(0.0055) q[6], q[5];\ncrz(0.0093) q[5], q[4];\ncrz(0.0037) q[4], q[3];\ncrz(0.0092) q[3], q[2];\ncrz(0.009) q[2], q[1];\ncrz(0.0059) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x8) q[6], q[5];\ncrz(x14) q[5], q[4];\ncrz(x15) q[4], q[3];\ncrz(x16) q[3], q[2];\ncrz(x17) q[2], q[1];\ncrz(x18) q[1], q[0];\nrx(x19) q[0];\nrz(x20) q[0];\nrx(x21) q[1];\nrz(x22) q[1];\nrx(x23) q[2];\nrz(x24) q[2];\nrx(x25) q[3];\nrz(x26) q[3];\nrx(x27) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x30) q[5];\nrx(x31) q[6];\nrz(x32) q[6];\ncrz(x33) q[6], q[5];\ncrz(x34) q[5], q[4];\ncrz(x35) q[4], q[3];\ncrz(x36) q[3], q[2];\ncrz(x37) q[2], q[1];\ncrz(x38) q[1], q[0];\nrx(x39) q[0];\nrz(x39) q[0];\nrx(x40) q[1];\nrz(x41) q[1];\nrx(x4) q[2];\nrz(x42) q[2];\nrx(x43) q[3];\nrz(x44) q[3];\nrx(x45) q[4];\nrz(x46) q[4];\nrx(x10) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\ncrz(x50) q[6], q[5];\ncrz(x51) q[5], q[4];\ncrz(x39) q[4], q[3];\ncrz(x52) q[3], q[2];\ncrz(x53) q[2], q[1];\ncrz(x47) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["0e3132c92d00e6c55b78f95cbfc3c30b","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 0, \"target\": 9}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 4, \"source\": 1, \"target\": 10}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 4, \"source\": 3, \"target\": 6}, {\"capacity\": 5, \"source\": 3, \"target\": 9}, {\"capacity\": 3, \"source\": 3, \"target\": 10}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 3, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 8}, {\"capacity\": 5, \"source\": 5, \"target\": 4}, {\"capacity\": 3, \"source\": 6, \"target\": 3}, {\"capacity\": 3, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 3, \"source\": 7, \"target\": 8}, {\"capacity\": 5, \"source\": 8, \"target\": 2}, {\"capacity\": 1, \"source\": 8, \"target\": 3}, {\"capacity\": 2, \"source\": 8, \"target\": 6}, {\"capacity\": 2, \"source\": 8, \"target\": 7}, {\"capacity\": 3, \"source\": 8, \"target\": 10}, {\"capacity\": 1, \"source\": 9, \"target\": 2}, {\"capacity\": 5, \"source\": 9, \"target\": 4}, {\"capacity\": 2, \"source\": 9, \"target\": 5}, {\"capacity\": 1, \"source\": 9, \"target\": 6}]}","{\"states\": [0, 768], \"expectation_value\": -20.30236575771002, \"params\": [-0.0034000000000000002, 0.9033, 0.4345, -0.0037, 1.8012000000000001, -0.0, 0.0023, 0.009300000000000001, -0.0027, 0.0027, 0.0023, 0.003, 0.0024000000000000002, 0.0001, -0.0024000000000000002, 0.0092, 0.0026000000000000003, 0.0049, -0.0027, 0.0082, 0.0025, 0.0061, -0.0034000000000000002, 1.7827000000000002, 1.2968, 0.0013000000000000002, 0.0018000000000000002, -0.003, -0.0051, 0.0006000000000000001, 1.3205, 0.0007], \"bitstrings\": [\"11111111111\", \"10011111111\"], \"total_optimization_steps\": 180, \"probabilities\": [0.3678590467615029, 0.4920741509070208], \"optimization_time\": 24.260582447052002}","-0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(7)) + -1.0 * (Z(1) @ Z(6)) + 2.75 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(10)) + -0.75 * (Z(5) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(10)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + -1.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(4)) + -1.25 * (Z(9) @ Z(8)) + -2.25 * Z(3) + -0.25 * Z(0) + -1.75 * Z(6) + -2.75 * Z(7) + 0.25 * Z(10) + 1.25 * Z(1) + 0.25 * Z(2) + 0.25 * Z(5) + 2.0 * Z(4) + 1.0 * Z(8) + 2.0 * Z(9)",4,11,1,"{\"smallest_eigenvalues\": [-21.25, -21.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -20.25, \"smallest_bitstrings\": [\"10011111001\", \"10011111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.0034) q[0];\nrz(0.9033) q[0];\nrx(0.4345) q[1];\nrz(-0.0037) q[1];\nrx(1.8012) q[2];\nrz(0) q[2];\nrx(0.0023) q[3];\nrz(0.0093) q[3];\nrx(-0.0027) q[4];\nrz(0.0027) q[4];\nrx(0.0023) q[5];\nrz(0.003) q[5];\nrx(0.0024) q[6];\nrz(0.0001) q[6];\nrx(-0.0024) q[7];\nrz(0.0092) q[7];\nrx(0.0026) q[8];\nrz(0.0049) q[8];\nrx(-0.0027) q[9];\nrz(0.0082) q[9];\nrx(0.0025) q[10];\nrz(0.0061) q[10];\ncrx(0.0007) q[10], q[9];\ncrx(1.3205) q[9], q[8];\ncrx(0.0006) q[8], q[7];\ncrx(-0.0051) q[7], q[6];\ncrx(-0.003) q[6], q[5];\ncrx(0.0018) q[5], q[4];\ncrx(0.0013) q[4], q[3];\ncrx(1.2968) q[3], q[2];\ncrx(1.7827) q[2], q[1];\ncrx(-0.0034) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x6) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x8) q[9];\nrz(x17) q[9];\nrx(x18) q[10];\nrz(x19) q[10];\ncrx(x20) q[10], q[9];\ncrx(x21) q[9], q[8];\ncrx(x22) q[8], q[7];\ncrx(x23) q[7], q[6];\ncrx(x24) q[6], q[5];\ncrx(x25) q[5], q[4];\ncrx(x26) q[4], q[3];\ncrx(x27) q[3], q[2];\ncrx(x28) q[2], q[1];\ncrx(x0) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["4a01a984c253fac78cca60269d01efc1","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [97, 22], \"expectation_value\": -0.18153596661800656, \"params\": [[-0.0553], [0.06860000000000001]], \"bitstrings\": [\"0011110\", \"1101001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00871283572033589, 0.008843317418998303], \"optimization_time\": 1.4736433029174805}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.5 * Z(5) + -1.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"0101110\", \"0011110\", \"0110110\", \"1101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(-0.0553) q[0];\ncx q[4], q[0];\ncx q[0], q[5];\nrz(-0.0553) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(-0.0553) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.0553) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(-0.0553) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(-0.0553) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(-0.0553) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(-0.0553) q[3];\ncx q[2], q[3];\ncx q[4], q[6];\nrz(-0.0553) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0553) q[6];\ncx q[5], q[6];\nrz(0.1106) q[4];\nrz(0.0553) q[0];\nrz(0.1659) q[5];\nrz(0.1659) q[1];\nrz(0.0553) q[2];\nrz(0.1106) q[3];\nrz(0.0553) q[6];\nh q[0];\nrz(0.1372) q[0];\nh q[0];\nh q[1];\nrz(0.1372) q[1];\nh q[1];\nh q[2];\nrz(0.1372) q[2];\nh q[2];\nh q[3];\nrz(0.1372) q[3];\nh q[3];\nh q[4];\nrz(0.1372) q[4];\nh q[4];\nh q[5];\nrz(0.1372) q[5];\nh q[5];\nh q[6];\nrz(0.1372) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\nrz(x1) q[4];\nrz(x2) q[0];\nrz(x3) q[5];\nrz(x3) q[1];\nrz(x2) q[2];\nrz(x1) q[3];\nrz(x2) q[6];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["3d1dde02abe951da208ed22501079cfd","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}, {\"id\": 7}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 7, \"target\": 5}]}","{\"states\": [69, 7], \"expectation_value\": -5.404516850915025, \"params\": [[-0.0458], [0.0557]], \"bitstrings\": [\"10111010\", \"11111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005225815354262477, 0.005426970942956919], \"optimization_time\": 4.686155319213867}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.75 * (Z(6) @ Z(4)) + 3.0 * (Z(7) @ Z(1)) + 3.0 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 3.0 * (Z(7) @ Z(3)) + 2.75 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(6)) + 2.75 * (Z(5) @ Z(7)) + -7.0 * Z(1) + -7.0 * Z(0) + -7.0 * Z(2) + -7.0 * Z(3) + -7.5 * Z(4) + -6.25 * Z(6) + -6.5 * Z(7) + -6.25 * Z(5)",9,8,1,"{\"smallest_eigenvalues\": [-24.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.75, \"smallest_bitstrings\": [\"11111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2519) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2519) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2519) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2519) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2519) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2519) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.2519) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.2519) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2519) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2519) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(-0.2748) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.2748) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.2748) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.2748) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.2519) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.2748) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.2748) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.2748) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.2748) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.2519) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.2748) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(-0.2748) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.2748) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2748) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.2748) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.2748) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(-0.2748) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(-0.2519) q[5];\ncx q[7], q[5];\nrz(0.6412) q[1];\nrz(0.6412) q[0];\nrz(0.6412) q[2];\nrz(0.6412) q[3];\nrz(0.687) q[4];\nrz(0.5725) q[6];\nrz(0.5954) q[7];\nrz(0.5725) q[5];\nh q[0];\nrz(0.1114) q[0];\nh q[0];\nh q[1];\nrz(0.1114) q[1];\nh q[1];\nh q[2];\nrz(0.1114) q[2];\nh q[2];\nh q[3];\nrz(0.1114) q[3];\nh q[3];\nh q[4];\nrz(0.1114) q[4];\nh q[4];\nh q[5];\nrz(0.1114) q[5];\nh q[5];\nh q[6];\nrz(0.1114) q[6];\nh q[6];\nh q[7];\nrz(0.1114) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x3) q[4];\nrz(x4) q[6];\nrz(x5) q[7];\nrz(x4) q[5];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["-3967254658723438867","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[5, 6], [2, 5], [9, 6], [4, 7], [8, 5], [0, 9], [1, 9], [3, 7]]}","{\"states\": [911, 910], \"expectation_value\": -0.49570168315184543, \"params\": [0.9115000000000001, 0.8779, 0.9127000000000001, 0.9457000000000001, 0.9400000000000001, 0.9552, 0.5388000000000001, 0.5361, 0.5695, 0.5711, 0.5518000000000001, 0.5485, 0.9897, 0.9616, 0.9004000000000001, 0.8202, 0.9456, 0.9726, 0.6442, 0.6087, -0.5076, 0.4328, 0.4431, -0.0451, 0.9667, 0.9443, 0.5656, 0.907, 0.622, 0.5213, 0.5447000000000001, 0.8313, -0.5243, 0.7375, 0.9855, -0.5277000000000001, 0.7902, 0.7859, 0.7602, 0.7175], \"bitstrings\": [\"0001110000\", \"0001110001\"], \"total_optimization_steps\": 100, \"probabilities\": [0.015171820095623142, 0.024414311168843725], \"optimization_time\": 5.846368312835693}","0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(9) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3)",14,10,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"0000010101\", \"1110001110\", \"1111101010\", \"0001110001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.9115) q[0];\nry(0.9127) q[1];\nry(0.94) q[2];\nry(0.5388) q[3];\nry(0.5695) q[4];\nry(0.5518) q[5];\nry(0.9897) q[6];\nry(0.9004) q[7];\nry(0.9456) q[8];\nry(0.6442) q[9];\ncrx(-0.5076) q[9], q[0];\ncrx(0.7602) q[8], q[9];\ncrx(0.7902) q[7], q[8];\ncrx(0.9855) q[6], q[7];\ncrx(-0.5243) q[5], q[6];\ncrx(0.5447) q[4], q[5];\ncrx(0.622) q[3], q[4];\ncrx(0.5656) q[2], q[3];\ncrx(0.9667) q[1], q[2];\ncrx(0.4431) q[0], q[1];\nry(0.8779) q[0];\nry(0.9457) q[1];\nry(0.9552) q[2];\nry(0.5361) q[3];\nry(0.5711) q[4];\nry(0.5485) q[5];\nry(0.9616) q[6];\nry(0.8202) q[7];\nry(0.9726) q[8];\nry(0.6087) q[9];\ncrx(0.4328) q[9], q[8];\ncrx(-0.0451) q[0], q[9];\ncrx(0.9443) q[0], q[1];\ncrx(0.907) q[1], q[2];\ncrx(0.5213) q[2], q[3];\ncrx(0.8313) q[3], q[4];\ncrx(0.7375) q[4], q[5];\ncrx(-0.5277) q[5], q[6];\ncrx(0.7859) q[6], q[7];\ncrx(0.7175) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncrx(x10) q[9], q[0];\ncrx(x11) q[8], q[9];\ncrx(x12) q[7], q[8];\ncrx(x13) q[6], q[7];\ncrx(x14) q[5], q[6];\ncrx(x15) q[4], q[5];\ncrx(x16) q[3], q[4];\ncrx(x17) q[2], q[3];\ncrx(x18) q[1], q[2];\ncrx(x19) q[0], q[1];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncrx(x30) q[9], q[8];\ncrx(x31) q[0], q[9];\ncrx(x32) q[0], q[1];\ncrx(x33) q[1], q[2];\ncrx(x34) q[2], q[3];\ncrx(x35) q[3], q[4];\ncrx(x36) q[4], q[5];\ncrx(x37) q[5], q[6];\ncrx(x38) q[6], q[7];\ncrx(x39) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["ce412ec359df7cf1ad46bc0c2b9d3cdf","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 0, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}, {\"bipartite\": 1, \"id\": 15}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 9}, {\"weight\": 20, \"source\": 0, \"target\": 15}, {\"weight\": 1, \"source\": 1, \"target\": 10}, {\"weight\": 3, \"source\": 2, \"target\": 11}, {\"weight\": 9, \"source\": 3, \"target\": 12}, {\"weight\": 16, \"source\": 3, \"target\": 14}, {\"weight\": 5, \"source\": 4, \"target\": 13}, {\"weight\": 4, \"source\": 5, \"target\": 14}, {\"weight\": 8, \"source\": 6, \"target\": 15}, {\"weight\": 12, \"source\": 6, \"target\": 10}, {\"weight\": 19, \"source\": 6, \"target\": 9}, {\"weight\": 20, \"source\": 7, \"target\": 11}]}","{\"states\": [2122, 2123], \"expectation_value\": -137.21724361725268, \"params\": [[0.7895000000000001, -0.007500000000000001, 0.0053, -0.0055000000000000005, -0.06280000000000001, 0.6345000000000001, 0.0024000000000000002, -0.0038, 0.643, -0.019, 0.7225, -0.17200000000000001], [0.7895000000000001, -0.0021000000000000003, -0.0008, 0.0025, -0.043000000000000003, 0.6325000000000001, 0.0019, -0.0023, 0.6294000000000001, -0.031100000000000003, 0.739, -0.0221], [0.7911, -0.0027, 0.0031000000000000003, 0.005, -0.0001, 0.6356, 0.0019, -0.0018000000000000002, 0.6353, -0.0099, 0.7742, 0.661], [0.45780000000000004, 0.10640000000000001, 0.0055000000000000005, 0.0105, 0.1759, 0.6375000000000001, 0.0027, -0.0024000000000000002, 0.6177, -0.0228, 0.4702, 0.36510000000000004], [0.4459, 0.1453, 0.0033, 0.0029000000000000002, 0.1446, 0.6308, 0.0034000000000000002, -0.004200000000000001, 0.6113000000000001, 0.1143, 0.6053000000000001, 0.8058000000000001]], \"bitstrings\": [\"011110110101\", \"011110110100\"], \"total_optimization_steps\": 80, \"probabilities\": [0.47149870445243414, 0.5226040512989069], \"optimization_time\": 9.356292247772217}","8.5 * (Z(0) @ Z(1)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(7) @ Z(5)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(8) @ Z(9)) + 8.5 * (Z(2) @ Z(8)) + 8.5 * (Z(10) @ Z(1)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(10) @ Z(8)) + 8.5 * (Z(3) @ Z(11)) + 0.5 * Z(1) + 10.0 * Z(0) + 8.0 * Z(5) + -4.0 * Z(4) + -6.5 * Z(7) + 12.5 * Z(9) + 14.5 * Z(8) + -8.0 * Z(2) + 18.0 * Z(10) + 1.5 * Z(11) + -7.0 * Z(3) + -14.5 * Z(6)",10,12,4,"{\"smallest_eigenvalues\": [-147.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -130.0, \"smallest_bitstrings\": [\"011110110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.7895) q[0];\nry(-0.0075) q[1];\nry(0.0053) q[2];\nry(-0.0055) q[3];\nry(-0.0628) q[4];\nry(0.6345) q[5];\nry(0.0024) q[6];\nry(-0.0038) q[7];\nry(0.643) q[8];\nry(-0.019) q[9];\nry(0.7225) q[10];\nry(-0.172) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(0.7895) q[0];\nry(-0.0021) q[1];\nry(-0.0008) q[2];\nry(0.0025) q[3];\nry(-0.043) q[4];\nry(0.6325) q[5];\nry(0.0019) q[6];\nry(-0.0023) q[7];\nry(0.6294) q[8];\nry(-0.0311) q[9];\nry(0.739) q[10];\nry(-0.0221) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(0.7911) q[0];\nry(-0.0027) q[1];\nry(0.0031) q[2];\nry(0.005) q[3];\nry(-0.0001) q[4];\nry(0.6356) q[5];\nry(0.0019) q[6];\nry(-0.0018) q[7];\nry(0.6353) q[8];\nry(-0.0099) q[9];\nry(0.7742) q[10];\nry(0.661) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(0.4578) q[0];\nry(0.1064) q[1];\nry(0.0055) q[2];\nry(0.0105) q[3];\nry(0.1759) q[4];\nry(0.6375) q[5];\nry(0.0027) q[6];\nry(-0.0024) q[7];\nry(0.6177) q[8];\nry(-0.0228) q[9];\nry(0.4702) q[10];\nry(0.3651) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(0.4459) q[0];\nry(0.1453) q[1];\nry(0.0033) q[2];\nry(0.0029) q[3];\nry(0.1446) q[4];\nry(0.6308) q[5];\nry(0.0034) q[6];\nry(-0.0042) q[7];\nry(0.6113) q[8];\nry(0.1143) q[9];\nry(0.6053) q[10];\nry(0.8058) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(x0) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x15) q[4];\nry(x16) q[5];\nry(x17) q[6];\nry(x18) q[7];\nry(x19) q[8];\nry(x20) q[9];\nry(x21) q[10];\nry(x22) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(x23) q[0];\nry(x24) q[1];\nry(x25) q[2];\nry(x26) q[3];\nry(x27) q[4];\nry(x28) q[5];\nry(x17) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\nry(x33) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(x34) q[0];\nry(x35) q[1];\nry(x36) q[2];\nry(x37) q[3];\nry(x38) q[4];\nry(x39) q[5];\nry(x40) q[6];\nry(x41) q[7];\nry(x42) q[8];\nry(x43) q[9];\nry(x44) q[10];\nry(x45) q[11];\ncz q[11], q[10];\ncz q[10], q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[11];\nry(x46) q[0];\nry(x47) q[1];\nry(x48) q[2];\nry(x49) q[3];\nry(x50) q[4];\nry(x51) q[5];\nry(x52) q[6];\nry(x53) q[7];\nry(x54) q[8];\nry(x55) q[9];\nry(x56) q[10];\nry(x57) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \\\"right_nodes\\\": [9, 10, 11, 12, 13, 14, 15]}\"}","{\"circuits\": [], \"gradients\": []}"]
["03ff3a7533d396b93efc645d4aae3cbe","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 2}, {\"weight\": 15, \"source\": 0, \"target\": 5}, {\"weight\": 20, \"source\": 0, \"target\": 3}, {\"weight\": 11, \"source\": 1, \"target\": 4}, {\"weight\": 2, \"source\": 2, \"target\": 3}, {\"weight\": 19, \"source\": 2, \"target\": 7}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 10, \"source\": 6, \"target\": 7}]}","{\"states\": [245, 244], \"expectation_value\": -31.34868730123897, \"params\": null, \"bitstrings\": [\"100001010\", \"100001011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.039722945789679026, 0.10131011762480907], \"optimization_time\": 211.81718516349792}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) + 14.0 * Z(0) + 19.0 * Z(2) + 16.5 * Z(3) + 5.5 * Z(4) + 5.5 * Z(5) + 14.0 * Z(6) + 2.0 * Z(7) + 0.5 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-80.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -72.0, \"smallest_bitstrings\": [\"100001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-3.4097) q[1];\nry(8.4588) q[2];\ncry(-44.3803) q[2], q[1];\nry(11.2785) q[6];\nry(23.9836) q[3];\nry(28.6737) q[0];\ncry(-26.8794) q[8], q[1];\ncry(26.4986) q[1], q[2];\ncry(-7.7248) q[2], q[0];\nry(0.0357) q[7];\ncry(0.2805) q[2], q[7];\ncry(0.2121) q[1], q[0];\ncry(0.7269) q[7], q[0];\ncry(-0.3937) q[5], q[0];\ncry(0.325) q[1], q[7];\ncry(2.641) q[7], q[2];\nry(1.4471) q[5];\ncry(-0.1621) q[8], q[0];\ncry(-0.0501) q[5], q[2];\ncry(0.1848) q[4], q[0];\ncry(19.0662) q[5], q[3];\ncry(4.7988) q[7], q[3];\ncry(1.3186) q[1], q[8];\ncry(14.611) q[5], q[1];\ncry(-62.8811) q[7], q[1];\ncry(-8.3197) q[0], q[1];\ncry(0.2441) q[8], q[2];\ncry(-1.7472) q[8], q[3];\ncry(-1.8915) q[3], q[2];\ncry(-1.3934) q[4], q[3];\ncry(-1.5653) q[0], q[3];\ncry(-0.6605) q[0], q[2];\ncry(1.2149) q[3], q[4];\ncry(1.6412) q[5], q[7];\ncry(-0.7659) q[2], q[3];\ncry(1.6191) q[1], q[3];\ncry(-0.8467) q[4], q[2];\ncry(-0.3216) q[3], q[1];\nry(0.2318) q[4];\ncry(0.8352) q[3], q[7];\ncry(-0.1911) q[5], q[4];\ncry(0.2004) q[8], q[4];\ncry(2.13) q[5], q[6];\ncry(0.0584) q[6], q[2];\ncry(0.7499) q[4], q[6];\ncry(-0.827) q[6], q[3];\ncry(-1.2098) q[0], q[7];\ncry(-0.8593) q[6], q[0];\ncry(-0.9041) q[6], q[4];\ncry(0.6617) q[1], q[4];\ncry(0.5072) q[2], q[4];\ncry(-0.4123) q[6], q[1];\ncry(0.1937) q[7], q[6];\ncry(-1.1179) q[7], q[4];\ncry(0.3594) q[3], q[0];\ncry(-0.1754) q[4], q[1];\ncry(3.04) q[0], q[8];\ncry(-1.3188) q[2], q[6];\ncry(-0.427) q[0], q[6];\ncry(1.2323) q[3], q[6];\ncry(0.7639) q[1], q[6];\ncry(0.2774) q[8], q[7];\ncry(-0.1752) q[4], q[7];\ncry(2.5985) q[8], q[5];\ncry(-0.4201) q[8], q[6];\ncry(0.438) q[2], q[5];\ncry(0.3186) q[1], q[5];\ncry(-0.2951) q[4], q[5];\ncry(0.2283) q[6], q[5];\ncry(0.3207) q[0], q[5];\ncry(-0.1784) q[3], q[5];\ncry(-0.3238) q[7], q[5];\ncry(0.0437) q[6], q[7];\ncry(0.3655) q[4], q[8];\ncry(-0.2666) q[5], q[8];\ncry(0.9029) q[6], q[8];\ncry(-1.0777) q[7], q[8];\ncry(0.7661) q[3], q[8];\nry(-0.2689) q[8];\ncry(0.3243) q[2], q[8];\ncry(0.0172) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}",{"$cut":{"chars":154150,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-3.4097) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-3.4097) q[1];\\nry(8.4588) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-3.4097) q[1];\\nry(8.4588) q[2];\\ncry(-44.3803) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-3.4097) q[1];\\nry(8.4588) q[2];\\ncry(-44.3803) q[2], q[1];\\nry(11.2785) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-3.4097) q[1];\\nry(8.4588) q[2];\\ncry(-44.3803) q[2], q[1];\\nry(11.2785) q[6];\\nry(23.9836) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-3.4097) q[1];\\nry(8.4588) q[2];\\ncry(-44.3803) q[2], q[1];\\nry(11.2785) q[6];\\nry(23.9836) q[3];\\nry(28.6737) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-3.4097) q[1];\\nry(8.4588) q[2];\\ncry(-44.3803) q[2], q[1];\\nry(11.2785) q[6];\\nry(23.9836) q[3];\\nry(28.6737) q[0];\\ncry(-26.8794) q[8], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-3.4097) q[1];\\nry(8.4588) q[2];\\ncry(-44.3803) q[2], q[1];\\nry(11.2785) q[6];\\nry(23.9836) q[3];\\nry(28.6737) q[0];\\ncry(-26.8794) q[8], q[1];\\ncry(26.4986) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-3.4097) q[1];\\nry(8.4588) q[2];\\ncry(-44.3803) q[2], q[1];\\nry(11.2785) q[6];\\nry(23.9836) q[3];\\nry(28.6737) q[0];\\ncry(-26.8794) q[8], q[1];\\ncry(26.4986) q[1], q[2];\\ncry(-7.7248) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8"}}]
["89c7521d0f4383e77e73ec35feb14209","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 3}, {\"weight\": 13, \"source\": 0, \"target\": 7}, {\"weight\": 17, \"source\": 0, \"target\": 4}, {\"weight\": 4, \"source\": 1, \"target\": 4}, {\"weight\": 15, \"source\": 1, \"target\": 5}, {\"weight\": 6, \"source\": 2, \"target\": 5}, {\"weight\": 14, \"source\": 2, \"target\": 7}, {\"weight\": 16, \"source\": 2, \"target\": 3}]}","{\"states\": [100, 109], \"expectation_value\": -13.559284827424028, \"params\": null, \"bitstrings\": [\"10011011\", \"10010010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.06131949519475524, 0.07138055406590552], \"optimization_time\": 171.64807748794556}","4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5) + 7.5 * Z(6) + 11.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-60.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -55.0, \"smallest_bitstrings\": [\"10010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(63.0918) q[1];\nry(37.6583) q[5];\nry(-0.8066) q[7];\nry(63.1203) q[2];\nry(11.4534) q[6];\ncry(63.0215) q[2], q[5];\ncry(30.0723) q[1], q[5];\nry(10.6781) q[4];\nry(3.4165) q[0];\ncry(-5.2002) q[1], q[7];\ncry(-0.1252) q[2], q[7];\ncry(-0.4915) q[3], q[7];\ncry(0.0626) q[3], q[2];\ncry(1.0859) q[3], q[5];\ncry(0.176) q[5], q[2];\ncry(0.08) q[1], q[2];\ncry(7.9172) q[2], q[6];\ncry(0.2694) q[1], q[6];\ncry(0.1111) q[3], q[6];\ncry(0.6452) q[6], q[5];\ncry(0.2618) q[2], q[1];\ncry(1.5009) q[5], q[1];\ncry(0.2153) q[5], q[6];\ncry(1.4532) q[6], q[2];\ncry(-0.9176) q[1], q[0];\ncry(-1.6168) q[0], q[6];\ncry(9.8441) q[0], q[7];\ncry(-0.3422) q[0], q[5];\ncry(1.5461) q[7], q[5];\ncry(-0.0031) q[5], q[7];\ncry(-0.8801) q[1], q[4];\ncry(-2.7905) q[0], q[4];\ncry(1.2954) q[4], q[5];\ncry(-1.3531) q[4], q[3];\ncry(-2.0589) q[4], q[2];\ncry(-8.6362) q[2], q[4];\ncry(4.6661) q[5], q[4];\ncry(-2.487) q[7], q[4];\ncry(-0.8648) q[1], q[3];\ncry(0.2888) q[4], q[1];\ncry(-0.2874) q[4], q[7];\ncry(0.3906) q[7], q[3];\ncry(-0.2892) q[0], q[3];\ncry(0.296) q[0], q[2];\ncry(-2.7658) q[4], q[0];\ncry(1.0703) q[5], q[0];\ncry(-0.7718) q[7], q[0];\ncry(-1.3807) q[7], q[1];\ncry(0.6858) q[0], q[1];\ncry(0.9802) q[2], q[0];\nry(-1.3945) q[3];\ncry(0.6447) q[3], q[1];\ncry(-0.6513) q[3], q[0];\ncry(0.7213) q[2], q[3];\ncry(0.2153) q[7], q[2];\ncry(-1.0161) q[6], q[0];\ncry(0.6924) q[7], q[6];\ncry(0.2536) q[6], q[1];\ncry(-0.5329) q[4], q[6];\ncry(-1.336) q[6], q[4];\ncry(0.6321) q[6], q[3];\ncry(0.4455) q[6], q[7];\ncry(0.1304) q[5], q[3];\ncry(1.5308) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}",{"$cut":{"chars":139045,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nry(37.6583) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nry(37.6583) q[5];\\nry(-0.8066) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nry(37.6583) q[5];\\nry(-0.8066) q[7];\\nry(63.1203) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nry(37.6583) q[5];\\nry(-0.8066) q[7];\\nry(63.1203) q[2];\\nry(11.4534) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nry(37.6583) q[5];\\nry(-0.8066) q[7];\\nry(63.1203) q[2];\\nry(11.4534) q[6];\\ncry(63.0215) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nry(37.6583) q[5];\\nry(-0.8066) q[7];\\nry(63.1203) q[2];\\nry(11.4534) q[6];\\ncry(63.0215) q[2], q[5];\\ncry(30.0723) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nry(37.6583) q[5];\\nry(-0.8066) q[7];\\nry(63.1203) q[2];\\nry(11.4534) q[6];\\ncry(63.0215) q[2], q[5];\\ncry(30.0723) q[1], q[5];\\nry(10.6781) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nry(37.6583) q[5];\\nry(-0.8066) q[7];\\nry(63.1203) q[2];\\nry(11.4534) q[6];\\ncry(63.0215) q[2], q[5];\\ncry(30.0723) q[1], q[5];\\nry(10.6781) q[4];\\nry(3.4165) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(63.0918) q[1];\\nry(37.6583) q[5];\\nry(-0.8066) q[7];\\nry(63.1203) q[2];\\nry(11.4534) q[6];\\ncry(63.0215) q[2], q[5];\\ncry(30.0723) q[1], q[5];\\nry(10.6781) q[4];\\nry(3.4165) q"}}]
["c207a7b4cd3f0efb0fa44764eec6604a","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 6, \"source\": 2, \"target\": 1}, {\"capacity\": 5, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 2}]}","{\"states\": [6631, 6615], \"expectation_value\": -44.825794417193066, \"params\": [1.0435, -0.0356, 1.0443, 0.0002, -0.0021000000000000003, 0.9809, -0.0001, 1.3914, 1.0451000000000001, -0.0029000000000000002, 1.0456, 0.0037, 1.0532000000000001, -0.025400000000000002, 0.8738, 0.8113, 0.8985000000000001, 0.13440000000000002, 0.0033, 0.3075, 1.0935000000000001, -0.2336, -0.7455, 0.3397, -0.7032, 0.27840000000000004, 1.0557, 0.0317, 1.0542, -0.0007, 0.003, 1.0077, 0.0021000000000000003, 1.116, 1.0499, -0.0021000000000000003, 1.0546, 0.001, 1.066, -0.018600000000000002, 0.5654, 0.8593000000000001, 0.8163, 0.4017, 0.0027, 0.2721, 1.2877, 0.4077, -1.2412, -0.1177, -1.2634, -0.2094, 1.0533000000000001, 0.001, 1.0516, 0.001, 0.0033, 0.0047, 0.0021000000000000003, 0.006, 1.0555, 0.0004, 1.0502, 0.0012000000000000001, 1.0328, 0.0012000000000000001, 1.1214, 0.0041, 0.5063, 0.006900000000000001, -0.0038, 0.0027, 0.8182, 0.0009000000000000001, -1.204, 0.009300000000000001, -1.1927, 0.0067, -0.029300000000000003, -0.0066, 0.0112, -0.9701000000000001, -1.3664, 0.0023, -0.0011, -0.20520000000000002, 0.9262, 0.7273000000000001, 0.18230000000000002, 0.22160000000000002, -0.0031000000000000003, 0.0219, -0.0, 0.0083, -0.9986, 0.2429, 0.002, -0.0002, 0.23800000000000002, 1.2394, 0.6553, -0.2977, -0.1912, -0.0032, 0.0088, 0.006900000000000001, 0.0073, 0.005, 0.009600000000000001, 0.0064, 0.004200000000000001, 0.0061, 0.0002, 0.003, 0.0066, 0.0029000000000000002, 0.006200000000000001], \"bitstrings\": [\"0011000011000\", \"0011000101000\"], \"total_optimization_steps\": 200, \"probabilities\": [0.3089173213925242, 0.5098565501336471], \"optimization_time\": 28.218132495880127}","0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @ Z(5)) + -1.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(2)) + -1.0 * (Z(11) @ Z(4)) + -2.0 * (Z(11) @ Z(5)) + -3.0 * (Z(11) @ Z(6)) + 1.0 * (Z(11) @ Z(2)) + 2.0 * (Z(11) @ Z(10)) + -1.0 * (Z(12) @ Z(4)) + -2.0 * (Z(12) @ Z(5)) + -3.0 * (Z(12) @ Z(6)) + 1.0 * (Z(12) @ Z(2)) + 2.0 * (Z(12) @ Z(10)) + 4.0 * (Z(12) @ Z(11)) + -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(5)) + -3.0 * (Z(3) @ Z(6)) + 0.8333333333333334 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(10)) + 2.0 * (Z(3) @ Z(11)) + 2.0 * (Z(3) @ Z(12)) + 0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(10)) + -1.0 * (Z(7) @ Z(11)) + -1.0 * (Z(7) @ Z(12)) + -1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(8) @ Z(4)) + 2.0 * (Z(8) @ Z(5)) + 3.0 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(10)) + -2.0 * (Z(8) @ Z(11)) + -2.0 * (Z(8) @ Z(12)) + -2.0 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 1.0 * (Z(9) @ Z(4)) + 2.0 * (Z(9) @ Z(5)) + 3.0 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(2)) + -1.0 * (Z(9) @ Z(10)) + -2.0 * (Z(9) @ Z(11)) + -2.0 * (Z(9) @ Z(12)) + -2.0 * (Z(9) @ Z(3)) + 1.0 * (Z(9) @ Z(7)) + 2.0 * (Z(9) @ Z(8)) + 6.0 * Z(4) + 4.25 * Z(0) + 12.0 * Z(5) + 18.0 * Z(6) + 8.5 * Z(1) + -1.7499999999999998 * Z(2) + 1.0 * Z(10) + 2.0 * Z(11) + 2.0 * Z(12) + -3.5 * Z(3) + 1.5 * Z(7) + 3.0 * Z(8) + 3.0 * Z(9)",18,13,3,"{\"smallest_eigenvalues\": [-45.33333333333333, -45.33333333333333], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -44.5, \"smallest_bitstrings\": [\"0011000101000\", \"0011000110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nrx(1.0435) q[0];\nrz(-0.0356) q[0];\nrx(1.0443) q[1];\nrz(0.0002) q[1];\nrx(-0.0021) q[2];\nrz(0.9809) q[2];\nrx(-0.0001) q[3];\nrz(1.3914) q[3];\nrx(1.0451) q[4];\nrz(-0.0029) q[4];\nrx(1.0456) q[5];\nrz(0.0037) q[5];\nrx(1.0532) q[6];\nrz(-0.0254) q[6];\nrx(0.8738) q[7];\nrz(0.8113) q[7];\nrx(0.8985) q[8];\nrz(0.1344) q[8];\nrx(0.0033) q[9];\nrz(0.3075) q[9];\nrx(1.0935) q[10];\nrz(-0.2336) q[10];\nrx(-0.7455) q[11];\nrz(0.3397) q[11];\nrx(-0.7032) q[12];\nrz(0.2784) q[12];\ncrz(-0.0293) q[12], q[0];\ncrz(-0.0031) q[11], q[12];\ncrz(0.2216) q[10], q[11];\ncrz(0.1823) q[9], q[10];\ncrz(0.7273) q[8], q[9];\ncrz(0.9262) q[7], q[8];\ncrz(-0.2052) q[6], q[7];\ncrz(-0.0011) q[5], q[6];\ncrz(0.0023) q[4], q[5];\ncrz(-1.3664) q[3], q[4];\ncrz(-0.9701) q[2], q[3];\ncrz(0.0112) q[1], q[2];\ncrz(-0.0066) q[0], q[1];\nrx(1.0557) q[0];\nrz(0.0317) q[0];\nrx(1.0542) q[1];\nrz(-0.0007) q[1];\nrx(0.003) q[2];\nrz(1.0077) q[2];\nrx(0.0021) q[3];\nrz(1.116) q[3];\nrx(1.0499) q[4];\nrz(-0.0021) q[4];\nrx(1.0546) q[5];\nrz(0.001) q[5];\nrx(1.066) q[6];\nrz(-0.0186) q[6];\nrx(0.5654) q[7];\nrz(0.8593) q[7];\nrx(0.8163) q[8];\nrz(0.4017) q[8];\nrx(0.0027) q[9];\nrz(0.2721) q[9];\nrx(1.2877) q[10];\nrz(0.4077) q[10];\nrx(-1.2412) q[11];\nrz(-0.1177) q[11];\nrx(-1.2634) q[12];\nrz(-0.2094) q[12];\ncrz(0.0219) q[12], q[0];\ncrz(-0.0032) q[11], q[12];\ncrz(-0.1912) q[10], q[11];\ncrz(-0.2977) q[9], q[10];\ncrz(0.6553) q[8], q[9];\ncrz(1.2394) q[7], q[8];\ncrz(0.238) q[6], q[7];\ncrz(-0.0002) q[5], q[6];\ncrz(0.002) q[4], q[5];\ncrz(0.2429) q[3], q[4];\ncrz(-0.9986) q[2], q[3];\ncrz(0.0083) q[1], q[2];\ncrz(0) q[0], q[1];\nrx(1.0533) q[0];\nrz(0.001) q[0];\nrx(1.0516) q[1];\nrz(0.001) q[1];\nrx(0.0033) q[2];\nrz(0.0047) q[2];\nrx(0.0021) q[3];\nrz(0.006) q[3];\nrx(1.0555) q[4];\nrz(0.0004) q[4];\nrx(1.0502) q[5];\nrz(0.0012) q[5];\nrx(1.0328) q[6];\nrz(0.0012) q[6];\nrx(1.1214) q[7];\nrz(0.0041) q[7];\nrx(0.5063) q[8];\nrz(0.0069) q[8];\nrx(-0.0038) q[9];\nrz(0.0027) q[9];\nrx(0.8182) q[10];\nrz(0.0009) q[10];\nrx(-1.204) q[11];\nrz(0.0093) q[11];\nrx(-1.1927) q[12];\nrz(0.0067) q[12];\ncrz(0.0088) q[12], q[0];\ncrz(0.0062) q[11], q[12];\ncrz(0.0029) q[10], q[11];\ncrz(0.0066) q[9], q[10];\ncrz(0.003) q[8], q[9];\ncrz(0.0002) q[7], q[8];\ncrz(0.0061) q[6], q[7];\ncrz(0.0042) q[5], q[6];\ncrz(0.0064) q[4], q[5];\ncrz(0.0096) q[3], q[4];\ncrz(0.005) q[2], q[3];\ncrz(0.0073) q[1], q[2];\ncrz(0.0069) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[13] c;\nqubit[13] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\nrx(x24) q[12];\nrz(x25) q[12];\ncrz(x26) q[12], q[0];\ncrz(x27) q[11], q[12];\ncrz(x28) q[10], q[11];\ncrz(x29) q[9], q[10];\ncrz(x30) q[8], q[9];\ncrz(x31) q[7], q[8];\ncrz(x32) q[6], q[7];\ncrz(x33) q[5], q[6];\ncrz(x34) q[4], q[5];\ncrz(x35) q[3], q[4];\ncrz(x36) q[2], q[3];\ncrz(x37) q[1], q[2];\ncrz(x38) q[0], q[1];\nrx(x39) q[0];\nrz(x40) q[0];\nrx(x41) q[1];\nrz(x42) q[1];\nrx(x43) q[2];\nrz(x44) q[2];\nrx(x45) q[3];\nrz(x46) q[3];\nrx(x47) q[4];\nrz(x4) q[4];\nrx(x48) q[5];\nrz(x49) q[5];\nrx(x50) q[6];\nrz(x51) q[6];\nrx(x52) q[7];\nrz(x53) q[7];\nrx(x54) q[8];\nrz(x55) q[8];\nrx(x56) q[9];\nrz(x57) q[9];\nrx(x58) q[10];\nrz(x59) q[10];\nrx(x60) q[11];\nrz(x61) q[11];\nrx(x62) q[12];\nrz(x63) q[12];\ncrz(x64) q[12], q[0];\ncrz(x65) q[11], q[12];\ncrz(x66) q[10], q[11];\ncrz(x67) q[9], q[10];\ncrz(x68) q[8], q[9];\ncrz(x69) q[7], q[8];\ncrz(x70) q[6], q[7];\ncrz(x71) q[5], q[6];\ncrz(x72) q[4], q[5];\ncrz(x73) q[3], q[4];\ncrz(x74) q[2], q[3];\ncrz(x75) q[1], q[2];\ncrz(x76) q[0], q[1];\nrx(x77) q[0];\nrz(x49) q[0];\nrx(x78) q[1];\nrz(x49) q[1];\nrx(x18) q[2];\nrz(x79) q[2];\nrx(x45) q[3];\nrz(x80) q[3];\nrx(x81) q[4];\nrz(x82) q[4];\nrx(x83) q[5];\nrz(x84) q[5];\nrx(x85) q[6];\nrz(x84) q[6];\nrx(x86) q[7];\nrz(x87) q[7];\nrx(x88) q[8];\nrz(x89) q[8];\nrx(x90) q[9];\nrz(x56) q[9];\nrx(x91) q[10];\nrz(x92) q[10];\nrx(x93) q[11];\nrz(x94) q[11];\nrx(x95) q[12];\nrz(x96) q[12];\ncrz(x97) q[12], q[0];\ncrz(x98) q[11], q[12];\ncrz(x99) q[10], q[11];\ncrz(x100) q[9], q[10];\ncrz(x43) q[8], q[9];\ncrz(x3) q[7], q[8];\ncrz(x101) q[6], q[7];\ncrz(x102) q[5], q[6];\ncrz(x103) q[4], q[5];\ncrz(x104) q[3], q[4];\ncrz(x105) q[2], q[3];\ncrz(x106) q[1], q[2];\ncrz(x89) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","{\"source\": 0, \"sink\": 4}","{\"circuits\": [], \"gradients\": []}"]
["-2315846002195225025","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[9, 5], [1, 3], [2, 5], [8, 9], [8, 3], [3, 6], [0, 3], [4, 6], [0, 7]]}","{\"states\": [795, 794], \"expectation_value\": -0.8549229387070334, \"params\": [0.7001000000000001, -0.027600000000000003, 0.6999000000000001, 0.0048000000000000004, 0.7035, -0.0297, 0.7063, 0.0091, 0.7066, 0.1017, 0.5504, 0.0041, 0.5209, 0.10500000000000001, 0.5272, 0.0053, 0.7026, 0.08600000000000001, 0.47950000000000004, 0.0035, 0.7090000000000001, -0.046900000000000004, 0.7040000000000001, 0.0035, 0.7022, -0.046, 0.7055, 0.0063, 0.7104, -0.0252, 0.6126, 0.0047, 0.7050000000000001, -0.0534, 0.7030000000000001, 0.009300000000000001, 0.7012, 0.0274, 0.5698, 0.0098, 0.5903, 0.34190000000000004, -0.21280000000000002, -0.1553, -0.2998, 0.4892, 0.5051, -0.3322, 0.4451, -0.2029], \"bitstrings\": [\"0011100100\", \"0011100101\"], \"total_optimization_steps\": 70, \"probabilities\": [0.05566062403045246, 0.14819352929563148], \"optimization_time\": 22.205174207687378}","0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(9) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(7)",6,10,1,"{\"smallest_eigenvalues\": [-4.5, -4.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"1100011010\", \"0011100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.7001) q[0];\nrz(-0.0276) q[0];\nrx(0.7035) q[1];\nrz(-0.0297) q[1];\nrx(0.7066) q[2];\nrz(0.1017) q[2];\nrx(0.5209) q[3];\nrz(0.105) q[3];\nrx(0.7026) q[4];\nrz(0.086) q[4];\nrx(0.709) q[5];\nrz(-0.0469) q[5];\nrx(0.7022) q[6];\nrz(-0.046) q[6];\nrx(0.7104) q[7];\nrz(-0.0252) q[7];\nrx(0.705) q[8];\nrz(-0.0534) q[8];\nrx(0.7012) q[9];\nrz(0.0274) q[9];\ncrx(0.4451) q[9], q[8];\ncrx(-0.3322) q[9], q[7];\ncrx(0.5051) q[9], q[6];\ncrx(0.4892) q[9], q[5];\ncrx(-0.2998) q[9], q[4];\ncrx(-0.1553) q[9], q[3];\ncrx(-0.2128) q[9], q[2];\ncrx(0.3419) q[9], q[1];\ncrx(0.5903) q[9], q[0];\ncrx(-0.2029) q[8], q[9];\ncrx(-0.3322) q[8], q[7];\ncrx(0.5051) q[8], q[6];\ncrx(0.4892) q[8], q[5];\ncrx(-0.2998) q[8], q[4];\ncrx(-0.1553) q[8], q[3];\ncrx(-0.2128) q[8], q[2];\ncrx(0.3419) q[8], q[1];\ncrx(0.5903) q[8], q[0];\ncrx(-0.2029) q[7], q[9];\ncrx(0.4451) q[7], q[8];\ncrx(0.5051) q[7], q[6];\ncrx(0.4892) q[7], q[5];\ncrx(-0.2998) q[7], q[4];\ncrx(-0.1553) q[7], q[3];\ncrx(-0.2128) q[7], q[2];\ncrx(0.3419) q[7], q[1];\ncrx(0.5903) q[7], q[0];\ncrx(-0.2029) q[6], q[9];\ncrx(0.4451) q[6], q[8];\ncrx(-0.3322) q[6], q[7];\ncrx(0.4892) q[6], q[5];\ncrx(-0.2998) q[6], q[4];\ncrx(-0.1553) q[6], q[3];\ncrx(-0.2128) q[6], q[2];\ncrx(0.3419) q[6], q[1];\ncrx(0.5903) q[6], q[0];\ncrx(-0.2029) q[5], q[9];\ncrx(0.4451) q[5], q[8];\ncrx(-0.3322) q[5], q[7];\ncrx(0.5051) q[5], q[6];\ncrx(-0.2998) q[5], q[4];\ncrx(-0.1553) q[5], q[3];\ncrx(-0.2128) q[5], q[2];\ncrx(0.3419) q[5], q[1];\ncrx(0.5903) q[5], q[0];\ncrx(-0.2029) q[4], q[9];\ncrx(0.4451) q[4], q[8];\ncrx(-0.3322) q[4], q[7];\ncrx(0.5051) q[4], q[6];\ncrx(0.4892) q[4], q[5];\ncrx(-0.1553) q[4], q[3];\ncrx(-0.2128) q[4], q[2];\ncrx(0.3419) q[4], q[1];\ncrx(0.5903) q[4], q[0];\ncrx(-0.2029) q[3], q[9];\ncrx(0.4451) q[3], q[8];\ncrx(-0.3322) q[3], q[7];\ncrx(0.5051) q[3], q[6];\ncrx(0.4892) q[3], q[5];\ncrx(-0.2998) q[3], q[4];\ncrx(-0.2128) q[3], q[2];\ncrx(0.3419) q[3], q[1];\ncrx(0.5903) q[3], q[0];\ncrx(-0.2029) q[2], q[9];\ncrx(0.4451) q[2], q[8];\ncrx(-0.3322) q[2], q[7];\ncrx(0.5051) q[2], q[6];\ncrx(0.4892) q[2], q[5];\ncrx(-0.2998) q[2], q[4];\ncrx(-0.1553) q[2], q[3];\ncrx(0.3419) q[2], q[1];\ncrx(0.5903) q[2], q[0];\ncrx(-0.2029) q[1], q[9];\ncrx(0.4451) q[1], q[8];\ncrx(-0.3322) q[1], q[7];\ncrx(0.5051) q[1], q[6];\ncrx(0.4892) q[1], q[5];\ncrx(-0.2998) q[1], q[4];\ncrx(-0.1553) q[1], q[3];\ncrx(-0.2128) q[1], q[2];\ncrx(0.5903) q[1], q[0];\ncrx(-0.2029) q[0], q[9];\ncrx(0.4451) q[0], q[8];\ncrx(-0.3322) q[0], q[7];\ncrx(0.5051) q[0], q[6];\ncrx(0.4892) q[0], q[5];\ncrx(-0.2998) q[0], q[4];\ncrx(-0.1553) q[0], q[3];\ncrx(-0.2128) q[0], q[2];\ncrx(0.3419) q[0], q[1];\nrx(0.6999) q[0];\nrz(0.0048) q[0];\nrx(0.7063) q[1];\nrz(0.0091) q[1];\nrx(0.5504) q[2];\nrz(0.0041) q[2];\nrx(0.5272) q[3];\nrz(0.0053) q[3];\nrx(0.4795) q[4];\nrz(0.0035) q[4];\nrx(0.704) q[5];\nrz(0.0035) q[5];\nrx(0.7055) q[6];\nrz(0.0063) q[6];\nrx(0.6126) q[7];\nrz(0.0047) q[7];\nrx(0.703) q[8];\nrz(0.0093) q[8];\nrx(0.5698) q[9];\nrz(0.0098) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x39) q[5];\nrx(x41) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["-8192543257949941671","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[8, 1, 0], [0, 2, 3, 8, 10], [3, 5, 7, 8, 9, 10], [0, 2, 6, 7, 8, 9], [1, 2, 4, 5, 9], [1, 2, 3, 6, 9], [1, 3, 5, 7, 10], [0, 4], [0, 6, 7, 8, 9, 10], [1, 2, 3, 6, 10], [0, 2, 3, 5, 6, 10], [0, 2, 3, 6, 7, 9], [8, 10, 4], [8, 4, 5, 6], [1, 5, 6, 8, 10], [2, 3, 4], [0, 1, 5, 7, 9], [1, 2, 3, 5, 8], [4, 5, 7], [0, 9, 10, 5], [8, 10, 3, 6], [8, 1, 2, 6], [1, 2, 7]]}","{\"states\": [1470, 1468], \"expectation_value\": -4.881964917330982, \"params\": null, \"bitstrings\": [\"01001000001\", \"01001000011\"], \"total_optimization_steps\": 88, \"probabilities\": [0.12921335176113735, 0.7037504830188175], \"optimization_time\": 3482.6569259166718}","0.35 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(1)) + 0.2833333333333333 * (Z(0) @ Z(8)) + 0.44999999999999996 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(8)) + 0.15 * (Z(2) @ Z(0)) + 0.2 * (Z(3) @ Z(1)) + 0.21666666666666667 * (Z(3) @ Z(8)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.4333333333333333 * (Z(3) @ Z(2)) + 0.15000000000000002 * (Z(10) @ Z(1)) + 0.41666666666666663 * (Z(10) @ Z(8)) + 0.2 * (Z(10) @ Z(0)) + 0.13333333333333333 * (Z(10) @ Z(2)) + 0.3 * (Z(10) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(8)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.13333333333333336 * (Z(5) @ Z(2)) + 0.16666666666666669 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(10)) + 0.26666666666666666 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(8)) + 0.15000000000000002 * (Z(7) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(2)) + 0.11666666666666667 * (Z(7) @ Z(3)) + 0.11666666666666667 * (Z(7) @ Z(10)) + 0.30000000000000004 * (Z(7) @ Z(5)) + 0.15000000000000002 * (Z(9) @ Z(1)) + 0.1 * (Z(9) @ Z(8)) + 0.23333333333333334 * (Z(9) @ Z(0)) + 0.16666666666666669 * (Z(9) @ Z(2)) + 0.11666666666666667 * (Z(9) @ Z(3)) + 0.15 * (Z(9) @ Z(10)) + 0.21666666666666667 * (Z(9) @ Z(5)) + 0.18333333333333335 * (Z(9) @ Z(7)) + 0.23333333333333334 * (Z(6) @ Z(1)) + 0.36666666666666664 * (Z(6) @ Z(8)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.2833333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(10)) + 0.16666666666666669 * (Z(6) @ Z(5)) + 0.1 * (Z(6) @ Z(7)) + 0.15 * (Z(6) @ Z(9)) + 0.05 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(10)) + 0.3 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.05 * (Z(4) @ Z(9)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 1.1583333333333332 * Z(1) + 1.2583333333333337 * Z(8) + 0.8250000000000004 * Z(0) + 1.2083333333333337 * Z(2) + 1.041666666666667 * Z(3) + 1.0666666666666667 * Z(10) + 1.0833333333333337 * Z(5) + 0.866666666666667 * Z(7) + 0.7583333333333333 * Z(9) + 1.0083333333333333 * Z(6) + 0.7250000000000001 * Z(4)",9,11,1,"{\"smallest_eigenvalues\": [-5.0500000000000025], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.933333333333337, \"smallest_bitstrings\": [\"01001000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5706) q[8];\nry(1.5679) q[2];\nry(1.5456) q[5];\ncry(-1.0898) q[0], q[4];\nry(1.0419) q[0];\ncry(-0.7028) q[5], q[4];\nry(1.0981) q[3];\ncry(-0.9697) q[7], q[1];\nry(0.8763) q[7];\ncry(-0.7595) q[8], q[1];\ncry(0.3941) q[2], q[0];\ncry(0.5124) q[2], q[7];\ncry(-0.2739) q[8], q[4];\ncry(0.3951) q[2], q[3];\ncry(-0.6661) q[6], q[10];\ncry(-0.2487) q[5], q[1];\ncry(0.4389) q[7], q[6];\ncry(-0.4639) q[9], q[10];\nry(0.3973) q[6];\ncry(-0.4056) q[3], q[10];\ncry(0.3695) q[2], q[6];\ncry(-0.2633) q[5], q[10];\ncry(0.1148) q[5], q[0];\ncry(0.1944) q[5], q[6];\ncry(0.1374) q[5], q[7];\ncry(-0.2407) q[0], q[9];\ncry(-0.062) q[6], q[1];\ncry(-0.099) q[8], q[10];\ncry(-0.0413) q[2], q[4];\ncry(0.088) q[8], q[6];\ncry(0.0656) q[5], q[3];\ncry(-0.1232) q[7], q[9];\ncry(0.1105) q[4], q[9];\ncry(-0.0969) q[6], q[9];\ncry(-0.0824) q[5], q[9];\ncry(-0.0715) q[8], q[9];\ncry(0.0335) q[3], q[7];\ncry(0.0229) q[2], q[5];\ncry(-0.0627) q[2], q[9];\ncry(-0.0376) q[7], q[10];\ncry(0.0357) q[3], q[6];\ncry(-0.0552) q[3], q[9];\nry(-0.0477) q[9];\ncry(0.0168) q[3], q[0];\ncry(-0.0067) q[3], q[4];\ncry(-0.0107) q[3], q[1];\ncry(-0.0235) q[0], q[10];\ncry(0.0001) q[5], q[8];\ncry(0.0259) q[10], q[9];\ncry(0.0254) q[9], q[6];\ncry(-0.0127) q[2], q[10];\ncry(0.0131) q[0], q[6];\ncry(0.0002) q[8], q[5];\ncry(-0.0001) q[6], q[5];\ncry(-0.0001) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,null,{"$cut":{"chars":115247,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5706) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5706) q[8];\\nry(1.5679) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5706) q[8];\\nry(1.5679) q[2];\\nry(1.5456) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5706) q[8];\\nry(1.5679) q[2];\\nry(1.5456) q[5];\\ncry(-1.0898) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5706) q[8];\\nry(1.5679) q[2];\\nry(1.5456) q[5];\\ncry(-1.0898) q[0], q[4];\\nry(1.0419) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5706) q[8];\\nry(1.5679) q[2];\\nry(1.5456) q[5];\\ncry(-1.0898) q[0], q[4];\\nry(1.0419) q[0];\\ncry(-0.7028) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5706) q[8];\\nry(1.5679) q[2];\\nry(1.5456) q[5];\\ncry(-1.0898) q[0], q[4];\\nry(1.0419) q[0];\\ncry(-0.7028) q[5], q[4];\\nry(1.0981) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\nry(1.5706) q[8];\\nry(1.5679) q[2];\\nry(1.5456) q[5];\\ncry(-1.0898) q[0], q[4];\\nry(1.0419) q[0];\\ncry(-0.7028) q[5], q[4];\\nry(1.0981) q[3];\\ncry(-0.9697) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates"}}]
["6206337d7d1967e1d98c4b708b2f9aeb","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [1013, 1659], \"expectation_value\": -0.22066858120288763, \"params\": [[0.0732, 0.059500000000000004, 0.0193], [-0.07880000000000001, -0.057300000000000004, -0.0386]], \"bitstrings\": [\"10000001010\", \"00110000100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0008092657080702513, 0.0008092657080702524], \"optimization_time\": 35.82678270339966}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(5) @ Z(6)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(5)) + -0.0625 * (Z(0) @ Z(3) @ Z(6)) + -0.0625 * (Z(0) @ Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(4) @ Z(6)) + -0.0625 * (Z(0) @ Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(4) @ Z(6)) + -0.0625 * (Z(3) @ Z(5) @ Z(6)) + -0.0625 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(3) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(3) @ Z(4) @ Z(6)) + 0.0625 * (Z(0) @ Z(3) @ Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(3) @ Z(4) @ Z(5) @ Z(6)) + -0.0625 * (Z(0) @ Z(3) @ Z(6) @ Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(4) @ Z(8)) + 0.25 * (Z(4) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(4) @ Z(8) @ Z(9)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(1) @ Z(8)) + 0.0625 * (Z(10) @ Z(1)) + 0.0625 * (Z(7) @ Z(5)) + 0.0625 * (Z(8) @ Z(5)) + 0.0625 * (Z(10) @ Z(5)) + 0.0625 * (Z(7) @ Z(8)) + 0.0625 * (Z(10) @ Z(7)) + 0.0625 * (Z(10) @ Z(8)) + -0.0625 * (Z(7) @ Z(1) @ Z(5)) + -0.0625 * (Z(1) @ Z(8) @ Z(5)) + -0.0625 * (Z(10) @ Z(1) @ Z(5)) + -0.0625 * (Z(7) @ Z(1) @ Z(8)) + -0.0625 * (Z(10) @ Z(1) @ Z(7)) + -0.0625 * (Z(10) @ Z(1) @ Z(8)) + -0.0625 * (Z(7) @ Z(8) @ Z(5)) + -0.0625 * (Z(10) @ Z(7) @ Z(5)) + -0.0625 * (Z(10) @ Z(8) @ Z(5)) + -0.0625 * (Z(10) @ Z(7) @ Z(8)) + 0.0625 * (Z(7) @ Z(1) @ Z(8) @ Z(5)) + 0.0625 * (Z(10) @ Z(1) @ Z(7) @ Z(5)) + 0.0625 * (Z(10) @ Z(1) @ Z(8) @ Z(5)) + 0.0625 * (Z(10) @ Z(1) @ Z(7) @ Z(8)) + 0.0625 * (Z(8) @ Z(10) @ Z(7) @ Z(5)) + -0.0625 * (Z(7) @ Z(1) @ Z(8) @ Z(5) @ Z(10)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(10) @ Z(2)) + 0.125 * (Z(9) @ Z(6)) + 0.125 * (Z(10) @ Z(6)) + 0.125 * (Z(10) @ Z(9)) + -0.125 * (Z(2) @ Z(9) @ Z(6)) + -0.125 * (Z(10) @ Z(2) @ Z(6)) + -0.125 * (Z(10) @ Z(9) @ Z(2)) + -0.125 * (Z(10) @ Z(9) @ Z(6)) + 0.125 * (Z(10) @ Z(2) @ Z(9) @ Z(6)) + 0.1875 * Z(0) + 0.1875 * Z(1) + 0.125 * Z(2) + -0.0625 * Z(3) + 0.1875 * Z(4) + 0.375 * Z(5) + 0.3125 * Z(6) + -0.0625 * Z(7) + 0.1875 * Z(8) + 0.125 * Z(9) + 0.3125 * Z(10)",1,11,3,"{\"smallest_eigenvalues\": [-3.75, -3.75, -3.75, -3.75], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"10000001010\", \"00110000100\", \"00101001000\", \"01010000010\"]}",{"$cut":{"chars":17378,"head":"OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(0.0366) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(0.0366) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(0.0366) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(-0.0366) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx 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q[5], q[4];\ncx q[4], q[3];\nrz(-0.0092) q[3];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[6], q[4];\ncx q[4], q[3];\nrz(-0.0092) q[3];\ncx q[4], q[3];\ncx q[6], q[4];\ncx q[6], q[5];\ncx q[5], q[3];\nrz(-0.0092) q[3];\ncx q[5], q[3];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[4];\nrz(-0.0092) q[4];\ncx q[5], q[4];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0092) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[6], q[4];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0092) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[6], q[4];\ncx q[6], q[5];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(0.0092) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[0];\nrz(0.0092) q[0];\ncx q[4], q[0];\ncx q[5], q[4];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(0.0092) q[3];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[6], q[5];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(-0.0092) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(0.0732) q[7];\ncx q[3], q[7];\ncx q[8], q[4];\nrz(0.0366) q[4];\ncx q[8], q[4];\ncx q[9], q[4];\nrz(0.0366) q[4];\ncx q[9], q[4];\ncx q[9], q[8];\nrz(0.0366) q[8];\ncx q[9], q[8];\ncx q[9], q[8];\ncx q[8], q[4];\nrz(-0.0366) q[4];\ncx q[8], q[4];\ncx q[9], q[8];\ncx q[5], q[1];\nrz(0.0092) q[1];\ncx q[5], q[1];\ncx q[1], q[7];\nrz(0.0092) q[7];\ncx q[1], q[7];\ncx q[8], q[1];\nrz(0.0092) q[1];\ncx q[8], q[1];\ncx q[1], q[10];\nrz(0.0092) q[10];\ncx q[1], q[10];\ncx q[5], q[7];\nrz(0.0092) q[7];\ncx q[5], q[7];\ncx q[5], q[8];\nrz(0.0092) q[8];\ncx q[5], q[8];\ncx q[5], q[10];\nrz(0.0092) q[10];\ncx q[5], q[10];\ncx q[8], q[7];\nrz(0.0092) q[7];\ncx q[8], q[7];\ncx q[7], q[10];\nrz(0.0092) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(0.0092) q[10];\ncx q[8], q[10];\ncx q[5], q[1];\ncx q[1], q[7];\nrz(-0.0092) q[7];\ncx q[1], q[7];\ncx q[5], q[1];\ncx q[5], q[8];\ncx q[8], q[1];\nrz(-0.0092) q[1];\ncx q[8], q[1];\ncx q[5], q[8];\ncx q[5], q[1];\ncx q[1], q[10];\nrz(-0.0092) q[10];\ncx q[1], q[10];\ncx q[5], q[1];\ncx q[8], q[1];\ncx q[1], q[7];\nrz(-0.0092) q[7];\ncx q[1], q[7];\ncx q[8], q[1];\ncx q[7], q[1];\ncx q[1], q[10];\nrz(-0.0092) q[10];\ncx q[1], q[10];\ncx q[7], q[1];\ncx q[8], q[1];\ncx q[1], q[10];\nrz(-0.0092) q[10];\ncx q[1], q[10];\ncx q[8], q[1];\ncx q[5], q[8];\ncx q[8], q[7];\nrz(-0.0092) q[7];\ncx q[8], q[7];\ncx q[5], q[8];\ncx q[5], q[7];\ncx q[7], q[10];\nrz(-0.0092) q[10];\ncx q[7], q[10];\ncx q[5], q[7];\ncx q[5], q[8];\ncx q[8], q[10];\nrz(-0.0092) q[10];\ncx q[8], q[10];\ncx q[5], q[8];\ncx q[8], q[7];\ncx q[7], q[10];\nrz(-0.0092) q[10];\ncx q[7], q[10];\ncx q[8], q[7];\ncx q[5], q[8];\ncx q[8], q[1];\ncx q[1], q[7];\nrz(0.0092) q[7];\ncx q[1], q[7];\ncx q[8], q[1];\ncx q[5], q[8];\ncx q[5], q[7];\ncx q[7], q[1];\ncx q[1], q[10];\nrz(0.0092) q[10];\ncx q[1], q[10];\ncx q[7], q[1];\ncx q[5], q[7];\ncx q[5], q[8];\ncx q[8], q[1];\ncx q[1], q"}},{"$cut":{"chars":17009,"head":"OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x2) q[0];\ncx q[4], q[0];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[5], q[4];\nrz(x2) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x2) q[4];\ncx q[6], q[4];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[4];\ncx q[4], q[0];\nrz(x3) q[0];\ncx q[4], q[0];\ncx q[5], q[4];\ncx q[6], q[4];\ncx q[4], q[0];\nrz(x3) q[0];\ncx q[4], q[0];\ncx q[6], q[4];\ncx q[6], q[5];\ncx q[5], q[0];\nrz(x3) q[0];\ncx q[5], q[0];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(x3) q[3];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[6], q[4];\ncx q[4], q[3];\nrz(x3) q[3];\ncx q[4], q[3];\ncx q[6], q[4];\ncx q[6], q[5];\ncx q[5], q[3];\nrz(x3) q[3];\ncx q[5], q[3];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[4];\nrz(x3) q[4];\ncx q[5], q[4];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[6], q[4];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[6], q[4];\ncx q[6], q[5];\ncx q[5], q[3];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[5], q[3];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[0];\nrz(x2) q[0];\ncx q[4], q[0];\ncx q[5], q[4];\ncx q[6], q[5];\ncx q[6], q[5];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[5], q[4];\ncx q[6], q[5];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[3];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[6], q[3];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(x4) q[7];\ncx q[3], q[7];\ncx q[8], q[4];\nrz(x0) q[4];\ncx q[8], q[4];\ncx q[9], q[4];\nrz(x0) q[4];\ncx q[9], q[4];\ncx q[9], q[8];\nrz(x0) q[8];\ncx q[9], q[8];\ncx q[9], q[8];\ncx q[8], q[4];\nrz(x1) q[4];\ncx q[8], q[4];\ncx q[9], q[8];\ncx q[5], q[1];\nrz(x2) q[1];\ncx q[5], q[1];\ncx q[1], q[7];\nrz(x2) q[7];\ncx q[1], q[7];\ncx q[8], q[1];\nrz(x2) q[1];\ncx q[8], q[1];\ncx q[1], q[10];\nrz(x2) q[10];\ncx q[1], q[10];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[5], q[8];\nrz(x2) q[8];\ncx q[5], q[8];\ncx q[5], q[10];\nrz(x2) q[10];\ncx q[5], q[10];\ncx q[8], q[7];\nrz(x2) q[7];\ncx q[8], q[7];\ncx q[7], q[10];\nrz(x2) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(x2) q[10];\ncx q[8], q[10];\ncx q[5], q[1];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[5], q[1];\ncx q[5], q[8];\ncx q[8], q[1];\nrz(x3) q[1];\ncx q[8], q[1];\ncx q[5], q[8];\ncx q[5], q[1];\ncx q[1], q[10];\nrz(x3) q[10];\ncx q[1], q[10];\ncx q[5], q[1];\ncx q[8], q[1];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[8], q[1];\ncx q[7], q[1];\ncx q[1], q[10];\nrz(x3) q[10];\ncx q[1], q[10];\ncx q[7], q[1];\ncx q[8], q[1];\ncx q[1], q[10];\nrz(x3) q[10];\ncx q[1], q[10];\ncx q[8], q[1];\ncx q[5], q[8];\ncx q[8], q[7];\nrz(x3) q[7];\ncx q[8], q[7];\ncx q[5], q[8];\ncx q[5], q[7];\ncx q[7], q[10];\nrz(x3) q[10];\n"}},null,"{\"circuits\": [], \"gradients\": []}"]
["a5ab45828095e3b6ad01a6edd098559d","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}]}","{\"states\": [67, 101], \"expectation_value\": -0.6091971180836484, \"params\": [[-0.06770000000000001, -0.07350000000000001], [0.0714, 0.07350000000000001]], \"bitstrings\": [\"0111100\", \"0011010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.011077247905371936, 0.01167689516345759], \"optimization_time\": 2.927117109298706}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4)",1,7,2,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"0011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(-0.0677) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(-0.0677) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0677) q[3];\ncx q[0], q[3];\ncx q[3], q[1];\nrz(-0.0677) q[1];\ncx q[3], q[1];\ncx q[3], q[5];\nrz(-0.0677) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.0677) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(-0.0677) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.0677) q[6];\ncx q[3], q[6];\ncx q[5], q[4];\nrz(-0.0677) q[4];\ncx q[5], q[4];\nrz(0.1354) q[2];\nrz(0.0677) q[0];\nrz(0.2708) q[3];\nrz(0.0677) q[1];\nrz(0.1354) q[5];\nrz(0.0677) q[6];\nrz(0) q[4];\nh q[0];\nrz(0.1428) q[0];\nh q[0];\nh q[1];\nrz(0.1428) q[1];\nh q[1];\nh q[2];\nrz(0.1428) q[2];\nh q[2];\nh q[3];\nrz(0.1428) q[3];\nh q[3];\nh q[4];\nrz(0.1428) q[4];\nh q[4];\nh q[5];\nrz(0.1428) q[5];\nh q[5];\nh q[6];\nrz(0.1428) q[6];\nh q[6];\ncx q[2], q[0];\nrz(-0.0735) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(-0.0735) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0735) q[3];\ncx q[0], q[3];\ncx q[3], q[1];\nrz(-0.0735) q[1];\ncx q[3], q[1];\ncx q[3], q[5];\nrz(-0.0735) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.0735) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(-0.0735) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.0735) q[6];\ncx q[3], q[6];\ncx q[5], q[4];\nrz(-0.0735) q[4];\ncx q[5], q[4];\nrz(0.147) q[2];\nrz(0.0735) q[0];\nrz(0.294) q[3];\nrz(0.0735) q[1];\nrz(0.147) q[5];\nrz(0.0735) q[6];\nrz(0) q[4];\nh q[0];\nrz(0.147) q[0];\nh q[0];\nh q[1];\nrz(0.147) q[1];\nh q[1];\nh q[2];\nrz(0.147) q[2];\nh q[2];\nh q[3];\nrz(0.147) q[3];\nh q[3];\nh q[4];\nrz(0.147) q[4];\nh q[4];\nh q[5];\nrz(0.147) q[5];\nh q[5];\nh q[6];\nrz(0.147) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x2) q[1];\nrz(x1) q[5];\nrz(x2) q[6];\nrz(x4) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x6) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[3], q[1];\nrz(x6) q[1];\ncx q[3], q[1];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x6) q[6];\ncx q[3], q[6];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\nrz(x7) q[2];\nrz(x8) q[0];\nrz(x9) q[3];\nrz(x8) q[1];\nrz(x7) q[5];\nrz(x8) q[6];\nrz(x4) q[4];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["2948403567897148577","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[8, 3, 11], [8, 1, 11, 5], [1, 3, 6, 7, 11], [1, 4, 9, 7], [0, 1, 9, 10, 11], [10, 3, 5, 7], [11, 4], [2, 5, 6, 10, 11], [0, 1, 3, 5, 8]]}","{\"states\": [1429, 1493], \"expectation_value\": -1.7507418877072383, \"params\": [1.2955, 0.008700000000000001, 2.9003, 0.0053, 1.3173000000000001, 0.004200000000000001, 2.9001, 0.0031000000000000003, 2.7869, 0.0079, 1.6591, 0.0099, 0.6169, 0.0023, 2.7473, 0.004200000000000001, 1.3182, 0.0099, 2.8856, 0.0034000000000000002, 1.3092000000000001, 0.0025, 2.8968000000000003, 0.0007, 0.008700000000000001, 0.0067, 0.0018000000000000002, 0.0033, 0.006, 0.0028, 0.0037, 0.009300000000000001, 0.0077, 0.0053, 0.0002, 0.0022, 0.0027, 0.0014, 0.0021000000000000003, 0.008, 0.0081, 0.008400000000000001, 0.003, 0.0013000000000000002, 0.0018000000000000002, 0.0024000000000000002, 0.0053, 0.0074], \"bitstrings\": [\"101001101010\", \"101000101010\"], \"total_optimization_steps\": 290, \"probabilities\": [0.05676697193662715, 0.06774307113613912], \"optimization_time\": 9.169148921966553}","0.21666666666666667 * (Z(10) @ Z(5)) + 0.21666666666666667 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(10)) + 0.1 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(10)) + 0.18333333333333335 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(10)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(1)) + 0.05 * (Z(8) @ Z(5)) + 0.1 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(7)) + 0.13333333333333333 * (Z(9) @ Z(5)) + 0.05 * (Z(9) @ Z(3)) + 0.13333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(7)) + 0.05 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(9)) + 0.05 * (Z(11) @ Z(3)) + 0.13333333333333333 * (Z(11) @ Z(1)) + 0.08333333333333333 * (Z(11) @ Z(9)) + 0.08333333333333333 * (Z(11) @ Z(6)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(10)) + 0.05 * (Z(0) @ Z(3)) + 0.1 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(0) @ Z(11)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.1 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(7)) + 0.05 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.05 * (Z(2) @ Z(11)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(7)) + 0.05 * (Z(4) @ Z(8)) + 0.05 * (Z(4) @ Z(2)) + 0.4916666666666667 * Z(5) + 0.3916666666666667 * Z(10) + 0.591666666666667 * Z(3) + 0.5500000000000002 * Z(1) + 0.4500000000000002 * Z(7) + 0.19999999999999996 * Z(8) + 0.3500000000000001 * Z(9) + 0.1250000000000001 * Z(6) + 0.22499999999999995 * Z(11) + 0.19999999999999996 * Z(0) + 0.3250000000000001 * Z(2) + 0.1 * Z(4)",16,12,1,"{\"smallest_eigenvalues\": [-2.383333333333334, -2.383333333333334], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.3833333333333333, \"smallest_bitstrings\": [\"101000101010\", \"001000101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(1.2955) q[0];\nrz(0.0087) q[0];\nrx(2.9003) q[1];\nrz(0.0053) q[1];\nrx(1.3173) q[2];\nrz(0.0042) q[2];\nrx(2.9001) q[3];\nrz(0.0031) q[3];\nrx(2.7869) q[4];\nrz(0.0079) q[4];\nrx(1.6591) q[5];\nrz(0.0099) q[5];\nrx(0.6169) q[6];\nrz(0.0023) q[6];\nrx(2.7473) q[7];\nrz(0.0042) q[7];\nrx(1.3182) q[8];\nrz(0.0099) q[8];\nrx(2.8856) q[9];\nrz(0.0034) q[9];\nrx(1.3092) q[10];\nrz(0.0025) q[10];\nrx(2.8968) q[11];\nrz(0.0007) q[11];\ncrz(0.0087) q[1], q[0];\ncrz(0.006) q[3], q[2];\ncrz(0.0077) q[5], q[4];\ncrz(0.0027) q[7], q[6];\ncrz(0.0081) q[9], q[8];\ncrz(0.0018) q[11], q[10];\ncrz(0.0033) q[2], q[1];\ncrz(0.0093) q[4], q[3];\ncrz(0.0022) q[6], q[5];\ncrz(0.008) q[8], q[7];\ncrz(0.0013) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x5) q[7];\nrx(x15) q[8];\nrz(x11) q[8];\nrx(x16) q[9];\nrz(x17) q[9];\nrx(x18) q[10];\nrz(x19) q[10];\nrx(x20) q[11];\nrz(x21) q[11];\ncrz(x1) q[1], q[0];\ncrz(x22) q[3], q[2];\ncrz(x23) q[5], q[4];\ncrz(x24) q[7], q[6];\ncrz(x25) q[9], q[8];\ncrz(x26) q[11], q[10];\ncrz(x27) q[2], q[1];\ncrz(x28) q[4], q[3];\ncrz(x29) q[6], q[5];\ncrz(x30) q[8], q[7];\ncrz(x31) q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["-7075643403611625665","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"hyperedges\": [[8, 10, 11, 6], [0, 3, 5, 8, 10, 11, 12], [12, 4], [8, 3, 12, 6], [8, 2], [2, 3, 5, 6, 10, 11], [11, 12, 6, 7], [9, 12, 7], [0, 9, 3], [3, 4, 7], [2, 5, 6, 9, 11], [1, 4, 5, 7], [0, 1, 4, 8, 10, 11], [0, 1, 2, 4, 5, 6, 9, 10], [10, 11, 12, 6], [0, 1, 6, 9, 12], [3, 6, 7], [4, 5, 6, 7, 9, 11], [10, 2, 7], [2, 5, 9, 10, 11, 12], [0, 1, 2, 3, 5, 7, 11], [9, 2, 1, 7]]}","{\"states\": [2815, 2751], \"expectation_value\": -3.849455836700526, \"params\": [[[-0.0044, 0.0037, 0.0049, 0.0017000000000000001], [0.45230000000000004, 0.0023, 1.3381, 0.0007], [-0.0159, 0.0081, 0.0023, 0.0081], [0.3924, 0.0021000000000000003, 1.367, 0.008700000000000001], [0.1494, 0.0098, 0.008700000000000001, 0.0064], [0.3798, -0.0022, 1.3872, 0.008], [1.5416, 0.0011, 0.0025, 0.0013000000000000002], [0.22870000000000001, -0.0024000000000000002, 1.5147000000000002, 0.0021000000000000003], [1.8025, 0.004, 0.0004, 0.0041], [0.18460000000000001, -0.0012000000000000001, 1.594, 0.005], [1.806, 0.002, 0.0039000000000000003, 0.0057], [0.2283, -0.0035, 1.5370000000000001, 0.0057], [1.8059, 0.0028, 0.008400000000000001, 0.0032]]], \"bitstrings\": [\"1010100000000\", \"1010101000000\"], \"total_optimization_steps\": 180, \"probabilities\": [0.10662780226681831, 0.1160068384737838], \"optimization_time\": 16.785056352615356}","0.14047619047619048 * (Z(8) @ Z(10)) + 0.29047619047619044 * (Z(11) @ Z(10)) + 0.14047619047619048 * (Z(11) @ Z(8)) + 0.21785714285714286 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.36666666666666664 * (Z(6) @ Z(11)) + 0.075 * (Z(0) @ Z(10)) + 0.05714285714285714 * (Z(0) @ Z(8)) + 0.08095238095238094 * (Z(0) @ Z(11)) + 0.06785714285714287 * (Z(0) @ Z(6)) + 0.05714285714285714 * (Z(3) @ Z(10)) + 0.10714285714285714 * (Z(3) @ Z(8)) + 0.08095238095238094 * (Z(3) @ Z(11)) + 0.2833333333333333 * (Z(3) @ Z(6)) + 0.21428571428571427 * (Z(3) @ Z(0)) + 0.10833333333333334 * (Z(5) @ Z(10)) + 0.023809523809523808 * (Z(5) @ Z(8)) + 0.1976190476190476 * (Z(5) @ Z(11)) + 0.13452380952380952 * (Z(5) @ Z(6)) + 0.06547619047619047 * (Z(5) @ Z(0)) + 0.08095238095238094 * (Z(5) @ Z(3)) + 0.14047619047619048 * (Z(12) @ Z(10)) + 0.10714285714285714 * (Z(12) @ Z(8)) + 0.2238095238095238 * (Z(12) @ Z(11)) + 0.3 * (Z(12) @ Z(6)) + 0.07380952380952381 * (Z(12) @ Z(0)) + 0.10714285714285714 * (Z(12) @ Z(3)) + 0.05714285714285714 * (Z(12) @ Z(5)) + 0.05119047619047619 * (Z(4) @ Z(10)) + 0.03333333333333333 * (Z(4) @ Z(8)) + 0.06666666666666667 * (Z(4) @ Z(11)) + 0.05119047619047619 * (Z(4) @ Z(6)) + 0.05119047619047619 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.13452380952380952 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(12)) + 0.2511904761904762 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(8)) + 0.14047619047619048 * (Z(2) @ Z(11)) + 0.10119047619047619 * (Z(2) @ Z(6)) + 0.041666666666666664 * (Z(2) @ Z(0)) + 0.05714285714285714 * (Z(2) @ Z(3)) + 0.15833333333333333 * (Z(2) @ Z(5)) + 0.03333333333333333 * (Z(2) @ Z(12)) + 0.017857142857142856 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.14047619047619048 * (Z(7) @ Z(11)) + 0.2833333333333333 * (Z(7) @ Z(6)) + 0.023809523809523808 * (Z(7) @ Z(0)) + 0.3571428571428571 * (Z(7) @ Z(3)) + 0.14047619047619048 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(12)) + 0.2833333333333333 * (Z(7) @ Z(4)) + 0.2738095238095238 * (Z(7) @ Z(2)) + 0.05119047619047619 * (Z(9) @ Z(10)) + 0.11666666666666667 * (Z(9) @ Z(11)) + 0.1511904761904762 * (Z(9) @ Z(6)) + 0.23452380952380952 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.13452380952380952 * (Z(9) @ Z(5)) + 0.25 * (Z(9) @ Z(12)) + 0.05119047619047619 * (Z(9) @ Z(4)) + 0.18452380952380953 * (Z(9) @ Z(2)) + 0.2833333333333333 * (Z(9) @ Z(7)) + 0.05119047619047619 * (Z(1) @ Z(10)) + 0.03333333333333333 * (Z(1) @ Z(8)) + 0.05714285714285714 * (Z(1) @ Z(11)) + 0.06785714285714287 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(0)) + 0.023809523809523808 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(12)) + 0.13452380952380952 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.19047619047619047 * (Z(1) @ Z(7)) + 0.1511904761904762 * (Z(1) @ Z(9)) + 0.8005952380952381 * Z(10) + 0.40476190476190477 * Z(8) + 0.951190476190476 * Z(11) + 1.0958333333333337 * Z(6) + 0.555357142857143 * Z(0) + 0.8511904761904763 * Z(3) + 0.6803571428571429 * Z(5) + 0.796428571428571 * Z(12) + 0.520833333333333 * Z(4) + 0.6922619047619047 * Z(2) + 1.196428571428571 * Z(7) + 0.8874999999999998 * Z(9) + 0.5672619047619047 * Z(1)",12,13,1,"{\"smallest_eigenvalues\": [-5.404761904761903], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.2285714285714295, \"smallest_bitstrings\": [\"1010101000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(-0.0044) q[0];\nrz(0.0037) q[0];\nry(0.4523) q[1];\nrz(0.0023) q[1];\nry(-0.0159) q[2];\nrz(0.0081) q[2];\nry(0.3924) q[3];\nrz(0.0021) q[3];\nry(0.1494) q[4];\nrz(0.0098) q[4];\nry(0.3798) q[5];\nrz(-0.0022) q[5];\nry(1.5416) q[6];\nrz(0.0011) q[6];\nry(0.2287) q[7];\nrz(-0.0024) q[7];\nry(1.8025) q[8];\nrz(0.004) q[8];\nry(0.1846) q[9];\nrz(-0.0012) q[9];\nry(1.806) q[10];\nrz(0.002) q[10];\nry(0.2283) q[11];\nrz(-0.0035) q[11];\nry(1.8059) q[12];\nrz(0.0028) q[12];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\ncz q[11], q[10];\nry(1.3381) q[1];\nry(1.3381) q[1];\nrz(0.0081) q[2];\nrz(0.0081) q[2];\ncz q[2], q[1];\nry(1.367) q[3];\nry(1.367) q[3];\nrz(0.0064) q[4];\nrz(0.0064) q[4];\ncz q[4], q[3];\nry(1.3872) q[5];\nry(1.3872) q[5];\nrz(0.0013) q[6];\nrz(0.0013) q[6];\ncz q[6], q[5];\nry(1.5147) q[7];\nry(1.5147) q[7];\nrz(0.0041) q[8];\nrz(0.0041) q[8];\ncz q[8], q[7];\nry(1.594) q[9];\nry(1.594) q[9];\nrz(0.0057) q[10];\nrz(0.0057) q[10];\ncz q[10], q[9];\nry(1.537) q[11];\nry(1.537) q[11];\ncz q[12], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x18) q[9];\nrz(x19) q[9];\nry(x20) q[10];\nrz(x21) q[10];\nry(x22) q[11];\nrz(x23) q[11];\nry(x24) q[12];\nrz(x25) q[12];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\ncz q[11], q[10];\nry(x26) q[1];\nry(x26) q[1];\nrz(x5) q[2];\nrz(x5) q[2];\ncz q[2], q[1];\nry(x27) q[3];\nry(x27) q[3];\nrz(x28) q[4];\nrz(x28) q[4];\ncz q[4], q[3];\nry(x29) q[5];\nry(x29) q[5];\nrz(x30) q[6];\nrz(x30) q[6];\ncz q[6], q[5];\nry(x31) q[7];\nry(x31) q[7];\nrz(x32) q[8];\nrz(x32) q[8];\ncz q[8], q[7];\nry(x33) q[9];\nry(x33) q[9];\nrz(x34) q[10];\nrz(x34) q[10];\ncz q[10], q[9];\nry(x35) q[11];\nry(x35) q[11];\ncz q[12], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"circuits\": [], \"gradients\": []}"]
["e155e613d0da5ad0217dc455cb8fa9ba","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [163, 162], \"expectation_value\": -3.8235792445000865, \"params\": [0.46330000000000005, 0.0036000000000000003, 0.4626, 0.0029000000000000002, -0.0007, -0.277, 0.005, -0.28, 0.505, 0.0053, 0.502, -0.0029000000000000002, 0.0005, 0.2696, 0.0011, 0.2696, 0.2912, 0.0857, 0.29100000000000004, 0.1715, 0.0033, 0.2601, 0.0057, 0.2606, 0.4869, -0.0015, 0.49150000000000005, 0.07540000000000001, 0.3347, -0.0356, 0.33940000000000003, -0.0376, 0.46130000000000004, 0.0033, 0.4656, 0.0004, 0.005, -0.276, -0.0012000000000000001, 0.007, 0.5052, -0.0044, 0.5029, 0.0056, -0.0008, 0.2872, 0.0015, 0.006500000000000001, 0.29700000000000004, 0.09870000000000001, 0.2943, 0.003, 0.0078000000000000005, 0.26780000000000004, 0.0017000000000000001, 0.0006000000000000001, 0.4959, 0.0001, 0.4963, 0.007500000000000001, 0.32980000000000004, -0.0364, 0.3386, 0.0074, 0.2805, -0.017, -0.1206, 0.07060000000000001, -0.15230000000000002, 0.1437, 0.036000000000000004, 0.009300000000000001, 0.2756, 0.0025, 0.3139, 0.009000000000000001, 0.2695, 0.0064, 0.0058000000000000005, 0.0026000000000000003], \"bitstrings\": [\"01011100\", \"01011101\"], \"total_optimization_steps\": 50, \"probabilities\": [0.08554685886213154, 0.13604650220972647], \"optimization_time\": 35.608325242996216}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(5) + 0.0 * Z(7) + -1.5 * Z(1) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(2)",7,8,2,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 9, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"11100110\", \"01010111\", \"01011101\", \"10011110\", \"00011111\", \"11111000\", \"11101010\", \"11011100\", \"11010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.4633) q[0];\nrz(0.0036) q[0];\nrx(-0.0007) q[1];\nrz(-0.277) q[1];\nrx(0.505) q[2];\nrz(0.0053) q[2];\nrx(0.0005) q[3];\nrz(0.2696) q[3];\nrx(0.2912) q[4];\nrz(0.0857) q[4];\nrx(0.0033) q[5];\nrz(0.2601) q[5];\nrx(0.4869) q[6];\nrz(-0.0015) q[6];\nrx(0.3347) q[7];\nrz(-0.0356) q[7];\ncrz(0.2805) q[1], q[0];\ncrz(-0.1206) q[3], q[2];\ncrz(-0.1523) q[5], q[4];\ncrz(0.036) q[7], q[6];\nrx(0.4626) q[0];\nrz(0.0029) q[0];\nrx(0.005) q[1];\nrz(-0.28) q[1];\nrx(0.502) q[2];\nrz(-0.0029) q[2];\nrx(0.0011) q[3];\nrz(0.2696) q[3];\nrx(0.291) q[4];\nrz(0.1715) q[4];\nrx(0.0057) q[5];\nrz(0.2606) q[5];\nrx(0.4915) q[6];\nrz(0.0754) q[6];\nrx(0.3394) q[7];\nrz(-0.0376) q[7];\ncrz(-0.017) q[2], q[1];\ncrz(0.0706) q[4], q[3];\ncrz(0.1437) q[6], q[5];\nrx(0.4613) q[0];\nrz(0.0033) q[0];\nrx(0.005) q[1];\nrz(-0.276) q[1];\nrx(0.5052) q[2];\nrz(-0.0044) q[2];\nrx(-0.0008) q[3];\nrz(0.2872) q[3];\nrx(0.297) q[4];\nrz(0.0987) q[4];\nrx(0.0078) q[5];\nrz(0.2678) q[5];\nrx(0.4959) q[6];\nrz(0.0001) q[6];\nrx(0.3298) q[7];\nrz(-0.0364) q[7];\ncrz(0.2756) q[1], q[0];\ncrz(0.3139) q[3], q[2];\ncrz(0.2695) q[5], q[4];\ncrz(0.0058) q[7], q[6];\nrx(0.4656) q[0];\nrz(0.0004) q[0];\nrx(-0.0012) q[1];\nrz(0.007) q[1];\nrx(0.5029) q[2];\nrz(0.0056) q[2];\nrx(0.0015) q[3];\nrz(0.0065) q[3];\nrx(0.2943) q[4];\nrz(0.003) q[4];\nrx(0.0017) q[5];\nrz(0.0006) q[5];\nrx(0.4963) q[6];\nrz(0.0075) q[6];\nrx(0.3386) q[7];\nrz(0.0074) q[7];\ncrz(0.0025) q[2], q[1];\ncrz(0.009) q[4], q[3];\ncrz(0.0064) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[1], q[0];\ncrz(x17) q[3], q[2];\ncrz(x18) q[5], q[4];\ncrz(x19) q[7], q[6];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x7) q[3];\nrx(x27) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x30) q[5];\nrx(x31) q[6];\nrz(x32) q[6];\nrx(x33) q[7];\nrz(x34) q[7];\ncrz(x35) q[2], q[1];\ncrz(x36) q[4], q[3];\ncrz(x37) q[6], q[5];\nrx(x38) q[0];\nrz(x10) q[0];\nrx(x22) q[1];\nrz(x39) q[1];\nrx(x40) q[2];\nrz(x41) q[2];\nrx(x42) q[3];\nrz(x43) q[3];\nrx(x44) q[4];\nrz(x45) q[4];\nrx(x46) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\nrx(x50) q[7];\nrz(x51) q[7];\ncrz(x52) q[1], q[0];\ncrz(x53) q[3], q[2];\ncrz(x54) q[5], q[4];\ncrz(x55) q[7], q[6];\nrx(x56) q[0];\nrz(x57) q[0];\nrx(x58) q[1];\nrz(x59) q[1];\nrx(x60) q[2];\nrz(x61) q[2];\nrx(x62) q[3];\nrz(x63) q[3];\nrx(x64) q[4];\nrz(x65) q[4];\nrx(x66) q[5];\nrz(x67) q[5];\nrx(x68) q[6];\nrz(x69) q[6];\nrx(x70) q[7];\nrz(x71) q[7];\ncrz(x72) q[2], q[1];\ncrz(x73) q[4], q[3];\ncrz(x74) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["66b128262b8b8ee59605a98d8b63bbdd","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [0, 112], \"expectation_value\": -18.26283021742595, \"params\": [-0.006900000000000001, 0.4636, 0.4295, 0.054400000000000004, -0.15610000000000002, 0.8301000000000001, 0.3633, 0.1542, -0.5485, 0.0364, -0.45370000000000005, 0.7516, -0.005, 0.7219, -0.0028, 0.8623000000000001, -0.0019, 0.6151, -0.0002, 0.7724000000000001, 0.0008, 0.43670000000000003, -0.0167, 0.7663000000000001, 0.0041, 0.6826, -0.0045000000000000005, 0.8055, 0.4197, -0.2791, 0.2363, -0.0119, 0.38620000000000004, -0.1991, 0.2659, 0.0478, -0.3735, 1.0364, 0.42450000000000004, 1.0169000000000001, 0.002, 0.9440000000000001, 0.0068000000000000005, 0.8091, -0.004200000000000001, 0.7792, -0.0034000000000000002, 0.6983, 0.0001, 0.9842000000000001, 0.0028, 0.5133, 0.0001, 0.8809, 0.0008, 0.9053, 0.2549, 0.07390000000000001, -0.3568, 0.0067, 0.22190000000000001, 0.1282, -0.36970000000000003, 0.006, 0.3668, 0.47890000000000005, -0.10450000000000001, 0.007, -0.0015, 0.5572, -0.0013000000000000002, 0.0079, 0.002, 0.5516, -0.0015, 0.006900000000000001, -0.013000000000000001, 0.3587, 0.006900000000000001, 0.006200000000000001, 0.0074, 0.6254000000000001, -0.0016, 0.0098, 0.1957, 0.29150000000000004, 0.6051000000000001, 0.0057, -0.0083, 0.0035, 0.0148, 0.631, 0.6133000000000001, 0.3052, 0.0058000000000000005, -0.0041, -0.0037, -0.0047, 0.8006000000000001, 0.7763, 0.46880000000000005, -0.0009000000000000001, -0.001, 0.0015, -0.0017000000000000001], \"bitstrings\": [\"1111111\", \"0001111\"], \"total_optimization_steps\": 150, \"probabilities\": [0.3094682437897924, 0.6170728556433571], \"optimization_time\": 36.899487018585205}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + -1.5 * Z(4)",6,7,3,"{\"smallest_eigenvalues\": [-19.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"0001111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(-0.0069) q[0];\nrz(0.4636) q[0];\nrx(-0.1561) q[1];\nrz(0.8301) q[1];\nrx(-0.5485) q[2];\nrz(0.0364) q[2];\nrx(-0.005) q[3];\nrz(0.7219) q[3];\nrx(-0.0019) q[4];\nrz(0.6151) q[4];\nrx(0.0008) q[5];\nrz(0.4367) q[5];\nrx(0.0041) q[6];\nrz(0.6826) q[6];\ncrx(0.0035) q[6], q[5];\ncrx(-0.0083) q[6], q[4];\ncrx(0.0057) q[6], q[3];\ncrx(0.6051) q[6], q[2];\ncrx(0.2915) q[6], q[1];\ncrx(0.1957) q[6], q[0];\ncrx(0.0148) q[5], q[6];\ncrx(-0.0083) q[5], q[4];\ncrx(0.0057) q[5], q[3];\ncrx(0.6051) q[5], q[2];\ncrx(0.2915) q[5], q[1];\ncrx(0.1957) q[5], q[0];\ncrx(0.0148) q[4], q[6];\ncrx(0.0035) q[4], q[5];\ncrx(0.0057) q[4], q[3];\ncrx(0.6051) q[4], q[2];\ncrx(0.2915) q[4], q[1];\ncrx(0.1957) q[4], q[0];\ncrx(0.0148) q[3], q[6];\ncrx(0.0035) q[3], q[5];\ncrx(-0.0083) q[3], q[4];\ncrx(0.6051) q[3], q[2];\ncrx(0.2915) q[3], q[1];\ncrx(0.1957) q[3], q[0];\ncrx(0.0148) q[2], q[6];\ncrx(0.0035) q[2], q[5];\ncrx(-0.0083) q[2], q[4];\ncrx(0.0057) q[2], q[3];\ncrx(0.2915) q[2], q[1];\ncrx(0.1957) q[2], q[0];\ncrx(0.0148) q[1], q[6];\ncrx(0.0035) q[1], q[5];\ncrx(-0.0083) q[1], q[4];\ncrx(0.0057) q[1], q[3];\ncrx(0.6051) q[1], q[2];\ncrx(0.1957) q[1], q[0];\ncrx(0.0148) q[0], q[6];\ncrx(0.0035) q[0], q[5];\ncrx(-0.0083) q[0], q[4];\ncrx(0.0057) q[0], q[3];\ncrx(0.6051) q[0], q[2];\ncrx(0.2915) q[0], q[1];\nrx(0.4295) q[0];\nrz(0.0544) q[0];\nrx(0.3633) q[1];\nrz(0.1542) q[1];\nrx(-0.4537) q[2];\nrz(0.7516) q[2];\nrx(-0.0028) q[3];\nrz(0.8623) q[3];\nrx(-0.0002) q[4];\nrz(0.7724) q[4];\nrx(-0.0167) q[5];\nrz(0.7663) q[5];\nrx(-0.0045) q[6];\nrz(0.8055) q[6];\nrx(0.4197) q[0];\nrz(-0.2791) q[0];\nrx(0.3862) q[1];\nrz(-0.1991) q[1];\nrx(-0.3735) q[2];\nrz(1.0364) q[2];\nrx(0.002) q[3];\nrz(0.944) q[3];\nrx(-0.0042) q[4];\nrz(0.7792) q[4];\nrx(0.0001) q[5];\nrz(0.9842) q[5];\nrx(0.0001) q[6];\nrz(0.8809) q[6];\ncrx(-0.0037) q[6], q[5];\ncrx(-0.0041) q[6], q[4];\ncrx(0.0058) q[6], q[3];\ncrx(0.3052) q[6], q[2];\ncrx(0.6133) q[6], q[1];\ncrx(0.631) q[6], q[0];\ncrx(-0.0047) q[5], q[6];\ncrx(-0.0041) q[5], q[4];\ncrx(0.0058) q[5], q[3];\ncrx(0.3052) q[5], q[2];\ncrx(0.6133) q[5], q[1];\ncrx(0.631) q[5], q[0];\ncrx(-0.0047) q[4], q[6];\ncrx(-0.0037) q[4], q[5];\ncrx(0.0058) q[4], q[3];\ncrx(0.3052) q[4], q[2];\ncrx(0.6133) q[4], q[1];\ncrx(0.631) q[4], q[0];\ncrx(-0.0047) q[3], q[6];\ncrx(-0.0037) q[3], q[5];\ncrx(-0.0041) q[3], q[4];\ncrx(0.3052) q[3], q[2];\ncrx(0.6133) q[3], q[1];\ncrx(0.631) q[3], q[0];\ncrx(-0.0047) q[2], q[6];\ncrx(-0.0037) q[2], q[5];\ncrx(-0.0041) q[2], q[4];\ncrx(0.0058) q[2], q[3];\ncrx(0.6133) q[2], q[1];\ncrx(0.631) q[2], q[0];\ncrx(-0.0047) q[1], q[6];\ncrx(-0.0037) q[1], q[5];\ncrx(-0.0041) q[1], q[4];\ncrx(0.0058) q[1], q[3];\ncrx(0.3052) q[1], q[2];\ncrx(0.631) q[1], q[0];\ncrx(-0.0047) q[0], q[6];\ncrx(-0.0037) q[0], q[5];\ncrx(-0.0041) q[0], q[4];\ncrx(0.0058) q[0], q[3];\ncrx(0.3052) q[0], q[2];\ncrx(0.6133) q[0], q[1];\nrx(0.2363) q[0];\nrz(-0.0119) q[0];\nrx(0.2659) q[1];\nrz(0.0478) q[1];\nrx(0.4245) q[2];\nrz(1.0169) q[2];\nrx(0.0068) q[3];\nrz(0.8091) q[3];\nrx(-0.0034) q[4];\nrz(0.6983) q[4];\nrx(0.0028) q[5];\nrz(0.5133) q[5];\nrx(0.0008) q[6];\nrz(0.9053) q[6];\nrx(0.2549) q[0];\nrz(0.0739) q[0];\nrx(0.2219) q[1];\nrz(0.1282) q[1];\nrx(0.3668) q[2];\nrz(0.4789) q[2];\nrx(-0.0015) q[3];\nrz(0.5572) q[3];\nrx(0.002) q[4];\nrz(0.5516) q[4];\nrx(-0.013) q[5];\nrz(0.3587) q[5];\nrx(0.0074) q[6];\nrz(0.6254) q[6];\ncrx(0.0015) q[6], q[5];\ncrx(-0.001) q[6], q[4];\ncrx(-0.0009) q[6], q[3];\ncrx(0.4688) q[6], q[2];\ncrx(0.7763) q[6], q[1];\ncrx(0.8006) q[6], q[0];\ncrx(-0.0017) q[5], q[6];\ncrx(-0.001) q[5], q[4];\ncrx(-0.0009) q[5], q[3];\ncrx(0.4688) q[5], q[2];\ncrx(0.7763) q[5], q[1];\ncrx(0.8006) q[5], q[0];\ncrx(-0.0017) q[4], q[6];\ncrx(0.0015) q[4], q[5];\ncrx(-0.0009) q[4], q[3];\ncrx(0.4688) q[4], q[2];\ncrx(0.7763) q[4], q[1];\ncrx(0.8006) q[4], q[0];\ncrx(-0.0017) q[3], q[6];\ncrx(0.0015) q[3], q[5];\ncrx(-0.001) q[3], q[4];\ncrx(0.4688) q[3], q[2];\ncrx(0.7763) q[3], q[1];\ncrx(0.8006) q[3], q[0];\ncrx(-0.0017) q[2], q[6];\ncrx(0.0015) q[2], q[5];\ncrx(-0.001) q[2], q[4];\ncrx(-0.0009) q[2], q[3];\ncrx(0.7763) q[2], q[1];\ncrx(0.8006) q[2], q[0];\ncrx(-0.0017) q[1], q[6];\ncrx(0.0015) q[1], q[5];\ncrx(-0.001) q[1], q[4];\ncrx(-0.0009) q[1], q[3];\ncrx(0.4688) q[1], q[2];\ncrx(0.8006) q[1], q[0];\ncrx(-0.0017) q[0], q[6];\ncrx(0.0015) q[0], q[5];\ncrx(-0.001) q[0], q[4];\ncrx(-0.0009) q[0], q[3];\ncrx(0.4688) q[0], q[2];\ncrx(0.7763) q[0], q[1];\nrx(-0.3568) q[0];\nrz(0.0067) q[0];\nrx(-0.3697) q[1];\nrz(0.006) q[1];\nrx(-0.1045) q[2];\nrz(0.007) q[2];\nrx(-0.0013) q[3];\nrz(0.0079) q[3];\nrx(-0.0015) q[4];\nrz(0.0069) q[4];\nrx(0.0069) q[5];\nrz(0.0062) q[5];\nrx(-0.0016) q[6];\nrz(0.0098) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrx(x14) q[6], q[5];\ncrx(x15) q[6], q[4];\ncrx(x16) q[6], q[3];\ncrx(x17) q[6], q[2];\ncrx(x18) q[6], q[1];\ncrx(x19) q[6], q[0];\ncrx(x20) q[5], q[6];\ncrx(x15) q[5], q[4];\ncrx(x16) q[5], q[3];\ncrx(x17) q[5], q[2];\ncrx(x18) q[5], q[1];\ncrx(x19) q[5], q[0];\ncrx(x20) q[4], q[6];\ncrx(x14) q[4], q[5];\ncrx(x16) q[4], q[3];\ncrx(x17) q[4], q[2];\ncrx(x18) q[4], q[1];\ncrx(x19) q[4], q[0];\ncrx(x20) q[3], q[6];\ncrx(x14) q[3], q[5];\ncrx(x15) q[3], q[4];\ncrx(x17) q[3], q[2];\ncrx(x18) q[3], q[1];\ncrx(x19) q[3], q[0];\ncrx(x20) q[2], q[6];\ncrx(x14) q[2], q[5];\ncrx(x15) q[2], q[4];\ncrx(x16) q[2], q[3];\ncrx(x18) q[2], q[1];\ncrx(x19) q[2], q[0];\ncrx(x20) q[1], q[6];\ncrx(x14) q[1], q[5];\ncrx(x15) q[1], q[4];\ncrx(x16) q[1], q[3];\ncrx(x17) q[1], q[2];\ncrx(x19) q[1], q[0];\ncrx(x20) q[0], q[6];\ncrx(x14) q[0], q[5];\ncrx(x15) q[0], q[4];\ncrx(x16) q[0], q[3];\ncrx(x17) q[0], q[2];\ncrx(x18) q[0], q[1];\nrx(x21) q[0];\nrz(x22) q[0];\nrx(x23) q[1];\nrz(x24) q[1];\nrx(x25) q[2];\nrz(x26) q[2];\nrx(x27) q[3];\nrz(x28) q[3];\nrx(x29) q[4];\nrz(x30) q[4];\nrx(x31) q[5];\nrz(x32) q[5];\nrx(x33) q[6];\nrz(x34) q[6];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x41) q[3];\nrz(x42) q[3];\nrx(x43) q[4];\nrz(x44) q[4];\nrx(x45) q[5];\nrz(x46) q[5];\nrx(x45) q[6];\nrz(x47) q[6];\ncrx(x48) q[6], q[5];\ncrx(x49) q[6], q[4];\ncrx(x50) q[6], q[3];\ncrx(x51) q[6], q[2];\ncrx(x52) q[6], q[1];\ncrx(x53) q[6], q[0];\ncrx(x54) q[5], q[6];\ncrx(x49) q[5], q[4];\ncrx(x50) q[5], q[3];\ncrx(x51) q[5], q[2];\ncrx(x52) q[5], q[1];\ncrx(x53) q[5], q[0];\ncrx(x54) q[4], q[6];\ncrx(x48) q[4], q[5];\ncrx(x50) q[4], q[3];\ncrx(x51) q[4], q[2];\ncrx(x52) q[4], q[1];\ncrx(x53) q[4], q[0];\ncrx(x54) q[3], q[6];\ncrx(x48) q[3], q[5];\ncrx(x49) q[3], q[4];\ncrx(x51) q[3], q[2];\ncrx(x52) q[3], q[1];\ncrx(x53) q[3], q[0];\ncrx(x54) q[2], q[6];\ncrx(x48) q[2], q[5];\ncrx(x49) q[2], q[4];\ncrx(x50) q[2], q[3];\ncrx(x52) q[2], q[1];\ncrx(x53) q[2], q[0];\ncrx(x54) q[1], q[6];\ncrx(x48) q[1], q[5];\ncrx(x49) q[1], q[4];\ncrx(x50) q[1], q[3];\ncrx(x51) q[1], q[2];\ncrx(x53) q[1], q[0];\ncrx(x54) q[0], q[6];\ncrx(x48) q[0], q[5];\ncrx(x49) q[0], q[4];\ncrx(x50) q[0], q[3];\ncrx(x51) q[0], q[2];\ncrx(x52) q[0], q[1];\nrx(x55) q[0];\nrz(x56) q[0];\nrx(x57) q[1];\nrz(x58) q[1];\nrx(x59) q[2];\nrz(x60) q[2];\nrx(x61) q[3];\nrz(x62) q[3];\nrx(x63) q[4];\nrz(x64) q[4];\nrx(x65) q[5];\nrz(x66) q[5];\nrx(x10) q[6];\nrz(x67) q[6];\nrx(x68) q[0];\nrz(x69) q[0];\nrx(x70) q[1];\nrz(x71) q[1];\nrx(x72) q[2];\nrz(x73) q[2];\nrx(x74) q[3];\nrz(x75) q[3];\nrx(x41) q[4];\nrz(x76) q[4];\nrx(x77) q[5];\nrz(x78) q[5];\nrx(x79) q[6];\nrz(x80) q[6];\ncrx(x81) q[6], q[5];\ncrx(x82) q[6], q[4];\ncrx(x83) q[6], q[3];\ncrx(x84) q[6], q[2];\ncrx(x85) q[6], q[1];\ncrx(x86) q[6], q[0];\ncrx(x87) q[5], q[6];\ncrx(x82) q[5], q[4];\ncrx(x83) q[5], q[3];\ncrx(x84) q[5], q[2];\ncrx(x85) q[5], q[1];\ncrx(x86) q[5], q[0];\ncrx(x87) q[4], q[6];\ncrx(x81) q[4], q[5];\ncrx(x83) q[4], q[3];\ncrx(x84) q[4], q[2];\ncrx(x85) q[4], q[1];\ncrx(x86) q[4], q[0];\ncrx(x87) q[3], q[6];\ncrx(x81) q[3], q[5];\ncrx(x82) q[3], q[4];\ncrx(x84) q[3], q[2];\ncrx(x85) q[3], q[1];\ncrx(x86) q[3], q[0];\ncrx(x87) q[2], q[6];\ncrx(x81) q[2], q[5];\ncrx(x82) q[2], q[4];\ncrx(x83) q[2], q[3];\ncrx(x85) q[2], q[1];\ncrx(x86) q[2], q[0];\ncrx(x87) q[1], q[6];\ncrx(x81) q[1], q[5];\ncrx(x82) q[1], q[4];\ncrx(x83) q[1], q[3];\ncrx(x84) q[1], q[2];\ncrx(x86) q[1], q[0];\ncrx(x87) q[0], q[6];\ncrx(x81) q[0], q[5];\ncrx(x82) q[0], q[4];\ncrx(x83) q[0], q[3];\ncrx(x84) q[0], q[2];\ncrx(x85) q[0], q[1];\nrx(x88) q[0];\nrz(x89) q[0];\nrx(x90) q[1];\nrz(x91) q[1];\nrx(x92) q[2];\nrz(x93) q[2];\nrx(x94) q[3];\nrz(x95) q[3];\nrx(x74) q[4];\nrz(x96) q[4];\nrx(x96) q[5];\nrz(x97) q[5];\nrx(x98) q[6];\nrz(x99) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"node\": 7}","{\"circuits\": [], \"gradients\": []}"]
["7e23eef08dcdb4e5133f79c5680febb8","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 4}]}","{\"states\": [3325, 3327], \"expectation_value\": -27.111768015389718, \"params\": [-0.0016, -0.008400000000000001, -0.0017000000000000001, -0.0056, 0.6278, 0.6239, 0.4657, 0.4641, 0.0051, 0.033100000000000004, -0.0038, -0.0009000000000000001, 0.26080000000000003, 0.35850000000000004, 0.42050000000000004, 0.48000000000000004, 0.5586, 0.5477000000000001, 0.4345, 0.43920000000000003, 0.458, 0.4736, 0.5332, 0.6059, -0.1957, -0.2543, 0.4268, 0.43520000000000003, -0.0036000000000000003, -0.0002, -0.00030000000000000003, -0.0051, 0.49050000000000005, 0.4545, 0.4647, 0.4596, 0.0432, 0.018500000000000003, -0.0031000000000000003, -0.0033, 0.4672, 0.6399, 0.5745, 0.6219, 0.5015000000000001, 0.5021, 0.4354, 0.5229, 0.48610000000000003, 0.5516, 0.6852, 0.6766, -0.2589, -0.2602, 0.6203000000000001, 0.5309, -0.005, 0.0029000000000000002, -0.0016, -0.0035, 0.45680000000000004, 0.5404, 0.4637, 0.459, 0.0565, -0.1404, -0.0011, -0.0032, 0.6959000000000001, 0.7094, 0.6094, 0.42160000000000003, 0.5205000000000001, 0.47050000000000003, 0.6333000000000001, 0.6304000000000001, 0.5858, 0.552, 0.42850000000000005, 0.2722, -0.33, -0.41090000000000004, 0.49520000000000003, 0.5921000000000001, 0.0025, 0.1379, 0.1197, -0.17550000000000002, 0.6583, -0.020900000000000002, -0.2589, 0.6806, 0.0848, -0.21730000000000002, 0.0006000000000000001, 0.030600000000000002, 0.009600000000000001, 0.0238, 0.099, -0.432, -0.0756, 0.0897, -0.25170000000000003, 0.4259, -0.1341, 0.4307, 0.024800000000000003, 0.3647, 0.1202, 0.4525, -0.2306, -0.0683, -0.0122, 0.0675, -0.0123, 0.1637, 0.6812, -0.044500000000000005, -0.2026, 0.6715, -0.0381, -0.2139, 0.0029000000000000002, 0.0945, -0.5918, -0.0045000000000000005, -0.0339, -0.5216000000000001, 0.1563, -0.07640000000000001, 0.0241, 0.1022, -0.0443, 0.2494, 0.0119, 0.0635, -0.1676, 0.1935, -0.2621, -0.43510000000000004, -0.005, 0.10690000000000001, 0.013000000000000001, 0.12350000000000001, 0.6691, 0.001, -0.16820000000000002, 0.0437, -0.2599, -0.0379, 0.0105, 0.1734, -0.5481, -0.0143, 0.1673, -0.5791000000000001, 0.1786, 0.1582, 0.17800000000000002, 0.0915, 0.17, 0.0184, 0.034300000000000004, 0.1213, -0.6191, 0.0538, 0.02, -0.7196], \"bitstrings\": [\"11001100000010\", \"11001100000000\"], \"total_optimization_steps\": 90, \"probabilities\": [0.27994107367163995, 0.6476324467075545], \"optimization_time\": 66.5555248260498}","-0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(7)) + 1.0 * (Z(11) @ Z(10)) + 1.0 * (Z(8) @ Z(9)) + 2.0 * (Z(8) @ Z(7)) + 2.0 * (Z(8) @ Z(10)) + 1.0 * (Z(8) @ Z(11)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(2) @ Z(8)) + 1.0 * (Z(3) @ Z(7)) + 2.0 * (Z(3) @ Z(8)) + 0.8333333333333334 * (Z(3) @ Z(2)) + -0.5 * (Z(12) @ Z(7)) + -1.0 * (Z(12) @ Z(8)) + -0.5 * (Z(12) @ Z(2)) + -1.0 * (Z(12) @ Z(3)) + -1.0 * (Z(13) @ Z(7)) + -2.0 * (Z(13) @ Z(8)) + -1.0 * (Z(13) @ Z(2)) + -2.0 * (Z(13) @ Z(3)) + 2.0 * (Z(13) @ Z(12)) + 0.5 * Z(4) + -0.7499999999999998 * Z(0) + 1.0 * Z(5) + 0.5 * Z(6) + -1.4999999999999998 * Z(1) + 3.5 * Z(9) + 5.0 * Z(7) + 7.0 * Z(10) + 3.5 * Z(11) + 10.0 * Z(8) + 1.2500000000000002 * Z(2) + 2.5 * Z(3) + 0.0 * Z(12) + 0.0 * Z(13)",14,14,3,"{\"smallest_eigenvalues\": [-27.833333333333176], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -27.83333333333282, \"smallest_bitstrings\": [\"11001100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nry(-0.0016) q[0];\nry(-0.0017) q[1];\nry(0.6278) q[2];\nry(0.4657) q[3];\nry(0.0051) q[4];\nry(-0.0038) q[5];\nry(0.2608) q[6];\nry(0.4205) q[7];\nry(0.5586) q[8];\nry(0.4345) q[9];\nry(0.458) q[10];\nry(0.5332) q[11];\nry(-0.1957) q[12];\nry(0.4268) q[13];\ncrx(0.0025) q[13], q[0];\ncrx(-0.2306) q[12], q[13];\ncrx(0.1202) q[11], q[12];\ncrx(0.0248) q[10], q[11];\ncrx(-0.1341) q[9], q[10];\ncrx(-0.2517) q[8], q[9];\ncrx(-0.0756) q[7], q[8];\ncrx(0.099) q[6], q[7];\ncrx(0.0096) q[5], q[6];\ncrx(0.0006) q[4], q[5];\ncrx(0.0848) q[3], q[4];\ncrx(-0.2589) q[2], q[3];\ncrx(0.6583) q[1], q[2];\ncrx(0.1197) q[0], q[1];\nry(-0.0084) q[0];\nry(-0.0056) q[1];\nry(0.6239) q[2];\nry(0.4641) q[3];\nry(0.0331) q[4];\nry(-0.0009) q[5];\nry(0.3585) q[6];\nry(0.48) q[7];\nry(0.5477) q[8];\nry(0.4392) q[9];\nry(0.4736) q[10];\nry(0.6059) q[11];\nry(-0.2543) q[12];\nry(0.4352) q[13];\ncrx(0.1379) q[13], q[12];\ncrx(-0.1755) q[0], q[13];\ncrx(-0.0209) q[0], q[1];\ncrx(0.6806) q[1], q[2];\ncrx(-0.2173) q[2], q[3];\ncrx(0.0306) q[3], q[4];\ncrx(0.0238) q[4], q[5];\ncrx(-0.432) q[5], q[6];\ncrx(0.0897) q[6], q[7];\ncrx(0.4259) q[7], q[8];\ncrx(0.4307) q[8], q[9];\ncrx(0.3647) q[9], q[10];\ncrx(0.4525) q[10], q[11];\ncrx(-0.0683) q[11], q[12];\nry(-0.0036) q[0];\nry(-0.0003) q[1];\nry(0.4905) q[2];\nry(0.4647) q[3];\nry(0.0432) q[4];\nry(-0.0031) q[5];\nry(0.4672) q[6];\nry(0.5745) q[7];\nry(0.5015) q[8];\nry(0.4354) q[9];\nry(0.4861) q[10];\nry(0.6852) q[11];\nry(-0.2589) q[12];\nry(0.6203) q[13];\ncrx(-0.0122) q[13], q[0];\ncrx(-0.2621) q[12], q[13];\ncrx(-0.1676) q[11], q[12];\ncrx(0.0119) q[10], q[11];\ncrx(-0.0443) q[9], q[10];\ncrx(0.0241) q[8], q[9];\ncrx(0.1563) q[7], q[8];\ncrx(-0.0339) q[6], q[7];\ncrx(-0.5918) q[5], q[6];\ncrx(0.0029) q[4], q[5];\ncrx(-0.0381) q[3], q[4];\ncrx(-0.2026) q[2], q[3];\ncrx(0.6812) q[1], q[2];\ncrx(-0.0123) q[0], q[1];\nry(-0.0002) q[0];\nry(-0.0051) q[1];\nry(0.4545) q[2];\nry(0.4596) q[3];\nry(0.0185) q[4];\nry(-0.0033) q[5];\nry(0.6399) q[6];\nry(0.6219) q[7];\nry(0.5021) q[8];\nry(0.5229) q[9];\nry(0.5516) q[10];\nry(0.6766) q[11];\nry(-0.2602) q[12];\nry(0.5309) q[13];\ncrx(0.0675) q[13], q[12];\ncrx(0.1637) q[0], q[13];\ncrx(-0.0445) q[0], q[1];\ncrx(0.6715) q[1], q[2];\ncrx(-0.2139) q[2], q[3];\ncrx(0.0945) q[3], q[4];\ncrx(-0.0045) q[4], q[5];\ncrx(-0.5216) q[5], q[6];\ncrx(-0.0764) q[6], q[7];\ncrx(0.1022) q[7], q[8];\ncrx(0.2494) q[8], q[9];\ncrx(0.0635) q[9], q[10];\ncrx(0.1935) q[10], q[11];\ncrx(-0.4351) q[11], q[12];\nry(-0.005) q[0];\nry(-0.0016) q[1];\nry(0.4568) q[2];\nry(0.4637) q[3];\nry(0.0565) q[4];\nry(-0.0011) q[5];\nry(0.6959) q[6];\nry(0.6094) q[7];\nry(0.5205) q[8];\nry(0.6333) q[9];\nry(0.5858) q[10];\nry(0.4285) q[11];\nry(-0.33) q[12];\nry(0.4952) q[13];\ncrx(-0.005) q[13], q[0];\ncrx(0.02) q[12], q[13];\ncrx(-0.6191) q[11], q[12];\ncrx(0.0343) q[10], q[11];\ncrx(0.17) q[9], q[10];\ncrx(0.178) q[8], q[9];\ncrx(0.1786) q[7], q[8];\ncrx(0.1673) q[6], q[7];\ncrx(-0.5481) q[5], q[6];\ncrx(0.0105) q[4], q[5];\ncrx(-0.2599) q[3], q[4];\ncrx(-0.1682) q[2], q[3];\ncrx(0.6691) q[1], q[2];\ncrx(0.013) q[0], q[1];\nry(0.0029) q[0];\nry(-0.0035) q[1];\nry(0.5404) q[2];\nry(0.459) q[3];\nry(-0.1404) q[4];\nry(-0.0032) q[5];\nry(0.7094) q[6];\nry(0.4216) q[7];\nry(0.4705) q[8];\nry(0.6304) q[9];\nry(0.552) q[10];\nry(0.2722) q[11];\nry(-0.4109) q[12];\nry(0.5921) q[13];\ncrx(0.1069) q[13], q[12];\ncrx(0.1235) q[0], q[13];\ncrx(0.001) q[0], q[1];\ncrx(0.0437) q[1], q[2];\ncrx(-0.0379) q[2], q[3];\ncrx(0.1734) q[3], q[4];\ncrx(-0.0143) q[4], q[5];\ncrx(-0.5791) q[5], q[6];\ncrx(0.1582) q[6], q[7];\ncrx(0.0915) q[7], q[8];\ncrx(0.0184) q[8], q[9];\ncrx(0.1213) q[9], q[10];\ncrx(0.0538) q[10], q[11];\ncrx(-0.7196) q[11], q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[14] c;\nqubit[14] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\nry(x13) q[13];\ncrx(x14) q[13], q[0];\ncrx(x15) q[12], q[13];\ncrx(x16) q[11], q[12];\ncrx(x17) q[10], q[11];\ncrx(x18) q[9], q[10];\ncrx(x19) q[8], q[9];\ncrx(x20) q[7], q[8];\ncrx(x21) q[6], q[7];\ncrx(x22) q[5], q[6];\ncrx(x23) q[4], q[5];\ncrx(x24) q[3], q[4];\ncrx(x25) q[2], q[3];\ncrx(x26) q[1], q[2];\ncrx(x27) q[0], q[1];\nry(x28) q[0];\nry(x29) q[1];\nry(x30) q[2];\nry(x31) q[3];\nry(x32) q[4];\nry(x33) q[5];\nry(x34) q[6];\nry(x35) q[7];\nry(x36) q[8];\nry(x37) q[9];\nry(x38) q[10];\nry(x39) q[11];\nry(x40) q[12];\nry(x41) q[13];\ncrx(x42) q[13], q[12];\ncrx(x43) q[0], q[13];\ncrx(x44) q[0], q[1];\ncrx(x45) q[1], q[2];\ncrx(x46) q[2], q[3];\ncrx(x47) q[3], q[4];\ncrx(x48) q[4], q[5];\ncrx(x49) q[5], q[6];\ncrx(x50) q[6], q[7];\ncrx(x51) q[7], q[8];\ncrx(x52) q[8], q[9];\ncrx(x53) q[9], q[10];\ncrx(x54) q[10], q[11];\ncrx(x55) q[11], q[12];\nry(x56) q[0];\nry(x57) q[1];\nry(x58) q[2];\nry(x59) q[3];\nry(x60) q[4];\nry(x61) q[5];\nry(x62) q[6];\nry(x63) q[7];\nry(x64) q[8];\nry(x65) q[9];\nry(x66) q[10];\nry(x67) q[11];\nry(x25) q[12];\nry(x68) q[13];\ncrx(x69) q[13], q[0];\ncrx(x70) q[12], q[13];\ncrx(x71) q[11], q[12];\ncrx(x72) q[10], q[11];\ncrx(x73) q[9], q[10];\ncrx(x74) q[8], q[9];\ncrx(x75) q[7], q[8];\ncrx(x76) q[6], q[7];\ncrx(x77) q[5], q[6];\ncrx(x78) q[4], q[5];\ncrx(x79) q[3], q[4];\ncrx(x80) q[2], q[3];\ncrx(x81) q[1], q[2];\ncrx(x82) q[0], q[1];\nry(x83) q[0];\nry(x84) q[1];\nry(x85) q[2];\nry(x86) q[3];\nry(x87) q[4];\nry(x88) q[5];\nry(x89) q[6];\nry(x90) q[7];\nry(x91) q[8];\nry(x92) q[9];\nry(x93) q[10];\nry(x94) q[11];\nry(x95) q[12];\nry(x96) q[13];\ncrx(x97) q[13], q[12];\ncrx(x98) q[0], q[13];\ncrx(x99) q[0], q[1];\ncrx(x100) q[1], q[2];\ncrx(x101) q[2], q[3];\ncrx(x102) q[3], q[4];\ncrx(x103) q[4], q[5];\ncrx(x104) q[5], q[6];\ncrx(x105) q[6], q[7];\ncrx(x106) q[7], q[8];\ncrx(x107) q[8], q[9];\ncrx(x108) q[9], q[10];\ncrx(x109) q[10], q[11];\ncrx(x110) q[11], q[12];\nry(x111) q[0];\nry(x0) q[1];\nry(x112) q[2];\nry(x113) q[3];\nry(x114) q[4];\nry(x115) q[5];\nry(x116) q[6];\nry(x117) q[7];\nry(x118) q[8];\nry(x119) q[9];\nry(x120) q[10];\nry(x121) q[11];\nry(x122) q[12];\nry(x123) q[13];\ncrx(x111) q[13], q[0];\ncrx(x124) q[12], q[13];\ncrx(x125) q[11], q[12];\ncrx(x126) q[10], q[11];\ncrx(x127) q[9], q[10];\ncrx(x128) q[8], q[9];\ncrx(x129) q[7], q[8];\ncrx(x130) q[6], q[7];\ncrx(x131) q[5], q[6];\ncrx(x132) q[4], q[5];\ncrx(x133) q[3], q[4];\ncrx(x134) q[2], q[3];\ncrx(x135) q[1], q[2];\ncrx(x136) q[0], q[1];\nry(x78) q[0];\nry(x137) q[1];\nry(x138) q[2];\nry(x139) q[3];\nry(x140) q[4];\nry(x141) q[5];\nry(x142) q[6];\nry(x143) q[7];\nry(x144) q[8];\nry(x145) q[9];\nry(x146) q[10];\nry(x147) q[11];\nry(x148) q[12];\nry(x149) q[13];\ncrx(x150) q[13], q[12];\ncrx(x151) q[0], q[13];\ncrx(x152) q[0], q[1];\ncrx(x153) q[1], q[2];\ncrx(x154) q[2], q[3];\ncrx(x155) q[3], q[4];\ncrx(x156) q[4], q[5];\ncrx(x157) q[5], q[6];\ncrx(x158) q[6], q[7];\ncrx(x159) q[7], q[8];\ncrx(x160) q[8], q[9];\ncrx(x161) q[9], q[10];\ncrx(x162) q[10], q[11];\ncrx(x163) q[11], q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["339c7fe0000b9f3d24083d98998c20d8","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 3}, {\"capacity\": 7, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 5, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 6, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}]}","{\"states\": [1, 17], \"expectation_value\": -0.8758286650829095, \"params\": [[-0.051500000000000004], [0.0623]], \"bitstrings\": [\"111110\", \"101110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.021203527099275574, 0.021555577878287303], \"optimization_time\": 2.177826166152954}","-1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2)",1,6,1,"{\"smallest_eigenvalues\": [-19.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -17.25, \"smallest_bitstrings\": [\"101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[0];\nrz(0.1545) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.2318) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.1803) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.3605) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(0.1288) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(0.0515) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(0.0515) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.103) q[2];\ncx q[4], q[2];\nrz(0.1288) q[3];\nrz(0.0258) q[0];\nrz(0.2833) q[4];\nrz(-0.309) q[5];\nrz(-0.1803) q[1];\nrz(0.0515) q[2];\nh q[0];\nrz(0.1246) q[0];\nh q[0];\nh q[1];\nrz(0.1246) q[1];\nh q[1];\nh q[2];\nrz(0.1246) q[2];\nh q[2];\nh q[3];\nrz(0.1246) q[3];\nh q[3];\nh q[4];\nrz(0.1246) q[4];\nh q[4];\nh q[5];\nrz(0.1246) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[4], q[1];\nrz(x4) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x5) q[1];\ncx q[5], q[1];\ncx q[3], q[2];\nrz(x5) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\nrz(x4) q[3];\nrz(x7) q[0];\nrz(x8) q[4];\nrz(x9) q[5];\nrz(x10) q[1];\nrz(x5) q[2];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["159cd19d829ee4ab847c9545b38e61cb","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [491, 363], \"expectation_value\": -1.9545695312929268, \"params\": [0.9772000000000001, 0.0056, 2.2085, 0.0029000000000000002, 1.5276, 0.004, 2.2022, 0.0094, 1.741, 0.0086, 0.42110000000000003, 0.0034000000000000002, 2.205, 0.0082, 0.002, 0.008, 2.1982, 0.0082, 2.2092, 0.0005, 0.0063, 0.005, 0.0017000000000000001, 0.0015, 0.0077, 0.0057, 0.0098, 0.0098, 0.0099, 0.0012000000000000001, 0.0094, 0.0024000000000000002, 0.0046, 0.0076, 0.002, 0.0057, 0.0019, 0.001, 0.0012000000000000001, 0.0036000000000000003], \"bitstrings\": [\"1000010100\", \"1010010100\"], \"total_optimization_steps\": 220, \"probabilities\": [0.06670251155584309, 0.07271647523407655], \"optimization_time\": 9.925817728042603}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(9) @ Z(1)) + 0.125 * (Z(8) @ Z(7)) + 0.125 * (Z(9) @ Z(7)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(1) @ Z(7)) + -0.125 * (Z(9) @ Z(1) @ Z(7)) + -0.125 * (Z(8) @ Z(9) @ Z(1)) + -0.125 * (Z(8) @ Z(9) @ Z(7)) + 0.125 * (Z(8) @ Z(9) @ Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(9) @ Z(2)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(9)) + 0.125 * (Z(9) @ Z(6)) + -0.125 * (Z(4) @ Z(6) @ Z(2)) + -0.125 * (Z(4) @ Z(9) @ Z(2)) + -0.125 * (Z(9) @ Z(6) @ Z(2)) + -0.125 * (Z(4) @ Z(9) @ Z(6)) + 0.125 * (Z(4) @ Z(9) @ Z(6) @ Z(2)) + 0.0 * Z(0) + 0.125 * Z(1) + 0.125 * Z(2) + 0.0 * Z(3) + 0.125 * Z(4) + -0.25 * Z(5) + 0.125 * Z(6) + -0.625 * Z(7) + -0.125 * Z(8) + 0.25 * Z(9)",16,10,1,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 9, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"1010010100\", \"1000001110\", \"0011000110\", \"1000110100\", \"0011010100\", \"1000010101\", \"1000011100\", \"0010110100\", \"0100110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.9772) q[0];\nrz(0.0056) q[0];\nrx(2.2085) q[1];\nrz(0.0029) q[1];\nrx(1.5276) q[2];\nrz(0.004) q[2];\nrx(2.2022) q[3];\nrz(0.0094) q[3];\nrx(1.741) q[4];\nrz(0.0086) q[4];\nrx(0.4211) q[5];\nrz(0.0034) q[5];\nrx(2.205) q[6];\nrz(0.0082) q[6];\nrx(0.002) q[7];\nrz(0.008) q[7];\nrx(2.1982) q[8];\nrz(0.0082) q[8];\nrx(2.2092) q[9];\nrz(0.0005) q[9];\ncrz(0.0063) q[1], q[0];\ncrz(0.0077) q[3], q[2];\ncrz(0.0099) q[5], q[4];\ncrz(0.0046) q[7], q[6];\ncrz(0.0019) q[9], q[8];\ncrz(0.0015) q[2], q[1];\ncrz(0.0098) q[4], q[3];\ncrz(0.0024) q[6], q[5];\ncrz(0.0057) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x13) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrz(x19) q[1], q[0];\ncrz(x20) q[3], q[2];\ncrz(x21) q[5], q[4];\ncrz(x22) q[7], q[6];\ncrz(x23) q[9], q[8];\ncrz(x24) q[2], q[1];\ncrz(x25) q[4], q[3];\ncrz(x26) q[6], q[5];\ncrz(x27) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["e187371d430b945e0e1d69926f02e89f","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 5}, {\"capacity\": 4, \"source\": 2, \"target\": 5}, {\"capacity\": 4, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 6, \"source\": 4, \"target\": 5}]}","{\"states\": [7423, 6655], \"expectation_value\": -54.72023956083385, \"params\": [[0.0222, 0.049600000000000005, 0.1275, 0.1854], [-0.6976, -0.398, -0.1787, -0.1495]], \"bitstrings\": [\"110001100000000\", \"110011000000000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.015269050661567807, 0.015269050661567809], \"optimization_time\": 53.927624464035034}","-0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.6666666666666667 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 1.0 * (Z(11) @ Z(7)) + 2.0 * (Z(11) @ Z(8)) + 1.0 * (Z(11) @ Z(9)) + 2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(12) @ Z(7)) + 1.0 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (Z(12) @ Z(11)) + 1.0 * (Z(13) @ Z(7)) + 2.0 * (Z(13) @ Z(8)) + 1.0 * (Z(13) @ Z(9)) + 1.0 * (Z(13) @ Z(10)) + 2.0 * (Z(13) @ Z(11)) + 1.0 * (Z(13) @ Z(12)) + 1.5 * (Z(14) @ Z(7)) + 3.0 * (Z(14) @ Z(8)) + 1.5 * (Z(14) @ Z(9)) + 1.5 * (Z(14) @ Z(10)) + 3.0 * (Z(14) @ Z(11)) + 1.5 * (Z(14) @ Z(12)) + 3.0 * (Z(14) @ Z(13)) + -0.5 * Z(2) + 7.0 * Z(7) + -1.0 * Z(3) + 14.0 * Z(8) + 7.0 * Z(9) + 0.5 * Z(4) + -0.9999999999999999 * Z(0) + 1.0 * Z(5) + 0.5 * Z(6) + -1.9999999999999996 * Z(1) + 8.0 * Z(10) + 16.0 * Z(11) + 6.5 * Z(12) + 13.0 * Z(13) + 19.5 * Z(14)",1,15,4,"{\"smallest_eigenvalues\": [-59.83333333333255], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -59.833333333330536, \"smallest_bitstrings\": [\"110011000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\ncx q[2], q[7];\nrz(-0.0222) q[7];\ncx q[2], q[7];\ncx q[2], q[3];\nrz(0.0444) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(-0.0444) q[3];\ncx q[7], q[3];\ncx q[2], q[8];\nrz(-0.0444) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(0.0888) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(-0.0888) q[8];\ncx q[3], q[8];\ncx q[2], q[9];\nrz(-0.0222) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(0.0444) q[9];\ncx q[7], q[9];\ncx q[3], q[9];\nrz(-0.0444) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(0.0888) q[9];\ncx q[8], q[9];\ncx q[4], q[0];\nrz(-0.0222) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(0.0444) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(-0.0444) q[5];\ncx q[0], q[5];\ncx q[4], q[6];\nrz(0.0222) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(-0.0222) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(0.0444) q[6];\ncx q[5], q[6];\ncx q[4], q[1];\nrz(-0.0444) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(0.0296) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(-0.0888) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(-0.0444) q[1];\ncx q[6], q[1];\ncx q[7], q[10];\nrz(0.0222) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(0.0444) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(0.0222) q[10];\ncx q[9], q[10];\ncx q[7], q[11];\nrz(0.0444) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(0.0888) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(0.0444) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(0.0888) q[11];\ncx q[10], q[11];\ncx q[7], q[12];\nrz(0.0222) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(0.0444) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(0.0222) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(0.0222) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(0.0444) q[12];\ncx q[11], q[12];\ncx q[7], q[13];\nrz(0.0444) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(0.0888) q[13];\ncx q[8], q[13];\ncx q[9], q[13];\nrz(0.0444) q[13];\ncx q[9], q[13];\ncx q[10], q[13];\nrz(0.0444) q[13];\ncx q[10], q[13];\ncx q[11], q[13];\nrz(0.0888) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(0.0444) q[13];\ncx q[12], q[13];\ncx q[7], q[14];\nrz(0.0666) q[14];\ncx q[7], q[14];\ncx q[8], q[14];\nrz(0.1332) q[14];\ncx q[8], q[14];\ncx q[9], q[14];\nrz(0.0666) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(0.0666) q[14];\ncx q[10], q[14];\ncx q[11], q[14];\nrz(0.1332) q[14];\ncx q[11], q[14];\ncx q[12], q[14];\nrz(0.0666) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(0.1332) q[14];\ncx q[13], q[14];\nrz(-0.0222) q[2];\nrz(0.3108) q[7];\nrz(-0.0444) q[3];\nrz(0.6216) q[8];\nrz(0.3108) q[9];\nrz(0.0222) q[4];\nrz(-0.0444) q[0];\nrz(0.0444) q[5];\nrz(0.0222) q[6];\nrz(-0.0888) q[1];\nrz(0.3552) q[10];\nrz(0.7104) q[11];\nrz(0.2886) q[12];\nrz(0.5772) q[13];\nrz(0.8658) q[14];\nh q[0];\nrz(-1.3952) q[0];\nh q[0];\nh q[1];\nrz(-1.3952) q[1];\nh q[1];\nh q[2];\nrz(-1.3952) q[2];\nh q[2];\nh q[3];\nrz(-1.3952) q[3];\nh q[3];\nh q[4];\nrz(-1.3952) q[4];\nh q[4];\nh q[5];\nrz(-1.3952) q[5];\nh q[5];\nh q[6];\nrz(-1.3952) q[6];\nh q[6];\nh q[7];\nrz(-1.3952) q[7];\nh q[7];\nh q[8];\nrz(-1.3952) q[8];\nh q[8];\nh q[9];\nrz(-1.3952) q[9];\nh q[9];\nh q[10];\nrz(-1.3952) q[10];\nh q[10];\nh q[11];\nrz(-1.3952) q[11];\nh q[11];\nh q[12];\nrz(-1.3952) q[12];\nh q[12];\nh q[13];\nrz(-1.3952) q[13];\nh q[13];\nh q[14];\nrz(-1.3952) q[14];\nh q[14];\ncx q[2], q[7];\nrz(-0.0496) q[7];\ncx q[2], q[7];\ncx q[2], q[3];\nrz(0.0992) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(-0.0992) q[3];\ncx q[7], q[3];\ncx q[2], q[8];\nrz(-0.0992) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(0.1984) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(-0.1984) q[8];\ncx q[3], q[8];\ncx q[2], q[9];\nrz(-0.0496) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(0.0992) q[9];\ncx q[7], q[9];\ncx q[3], q[9];\nrz(-0.0992) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(0.1984) q[9];\ncx q[8], q[9];\ncx q[4], q[0];\nrz(-0.0496) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(0.0992) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(-0.0992) q[5];\ncx q[0], q[5];\ncx q[4], q[6];\nrz(0.0496) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(-0.0496) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(0.0992) q[6];\ncx q[5], q[6];\ncx q[4], q[1];\nrz(-0.0992) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(0.0661) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(-0.1984) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(-0.0992) q[1];\ncx q[6], q[1];\ncx q[7], q[10];\nrz(0.0496) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(0.0992) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(0.0496) q[10];\ncx q[9], q[10];\ncx q[7], q[11];\nrz(0.0992) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(0.1984) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(0.0992) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(0.1984) q[11];\ncx q[10], q[11];\ncx q[7], q[12];\nrz(0.0496) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(0.0992) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(0.0496) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(0.0496) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(0.0992) q[12];\ncx q[11], q[12];\ncx q[7], q[13];\nrz(0.0992) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(0.1984) q[13];\ncx q[8], q[13];\ncx q[9], q[13];\nrz(0.0992) q[13];\ncx q[9], q[13];\ncx q[10], q[13];\nrz(0.0992) q[13];\ncx q[10], q[13];\ncx q[11], q[13];\nrz(0.1984) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(0.0992) q[13];\ncx q[12], q[13];\ncx q[7], q[14];\nrz(0.1488) q[14];\ncx q[7], q[14];\ncx q[8], q[14];\nrz(0.2976) q[14];\ncx q[8], q[14];\ncx q[9], q[14];\nrz(0.1488) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(0.1488) q[14];\ncx q[10], q[14];\ncx q[11], q[14];\nrz(0.2976) q[14];\ncx q[11], q[14];\ncx q[12], q[14];\nrz(0.1488) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(0.2976) q[14];\ncx q[13], q[14];\nrz(-0.0496) q[2];\nrz(0.6944) q[7];\nrz(-0.0992) q[3];\nrz(1.3888) q[8];\nrz(0.6944) q[9];\nrz(0.0496) q[4];\nrz(-0.0992) q[0];\nrz(0.0992) q[5];\nrz(0.0496) q[6];\nrz(-0.1984) q[1];\nrz(0.7936) q[10];\nrz(1.5872) q[11];\nrz(0.6448) q[12];\nrz(1.2896) q[13];\nrz(1.9344) q[14];\nh q[0];\nrz(-0.796) q[0];\nh q[0];\nh q[1];\nrz(-0.796) q[1];\nh q[1];\nh q[2];\nrz(-0.796) q[2];\nh q[2];\nh q[3];\nrz(-0.796) q[3];\nh q[3];\nh q[4];\nrz(-0.796) q[4];\nh q[4];\nh q[5];\nrz(-0.796) q[5];\nh q[5];\nh q[6];\nrz(-0.796) q[6];\nh q[6];\nh q[7];\nrz(-0.796) q[7];\nh q[7];\nh q[8];\nrz(-0.796) q[8];\nh q[8];\nh q[9];\nrz(-0.796) q[9];\nh q[9];\nh q[10];\nrz(-0.796) q[10];\nh q[10];\nh q[11];\nrz(-0.796) q[11];\nh q[11];\nh q[12];\nrz(-0.796) q[12];\nh q[12];\nh q[13];\nrz(-0.796) q[13];\nh q[13];\nh q[14];\nrz(-0.796) q[14];\nh q[14];\ncx q[2], q[7];\nrz(-0.1275) q[7];\ncx q[2], q[7];\ncx q[2], q[3];\nrz(0.255) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(-0.255) q[3];\ncx q[7], q[3];\ncx q[2], q[8];\nrz(-0.255) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(0.51) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(-0.51) q[8];\ncx q[3], q[8];\ncx q[2], q[9];\nrz(-0.1275) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(0.255) q[9];\ncx q[7], q[9];\ncx q[3], q[9];\nrz(-0.255) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(0.51) q[9];\ncx q[8], q[9];\ncx q[4], q[0];\nrz(-0.1275) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(0.255) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(-0.255) q[5];\ncx q[0], q[5];\ncx q[4], q[6];\nrz(0.1275) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(-0.1275) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(0.255) q[6];\ncx q[5], q[6];\ncx q[4], q[1];\nrz(-0.255) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(0.17) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(-0.51) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(-0.255) q[1];\ncx q[6], q[1];\ncx q[7], q[10];\nrz(0.1275) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(0.255) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(0.1275) q[10];\ncx q[9], q[10];\ncx q[7], q[11];\nrz(0.255) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(0.51) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(0.255) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(0.51) q[11];\ncx q[10], q[11];\ncx q[7], q[12];\nrz(0.1275) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(0.255) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(0.1275) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(0.1275) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(0.255) q[12];\ncx q[11], q[12];\ncx q[7], q[13];\nrz(0.255) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(0.51) q[13];\ncx q[8], q[13];\ncx q[9], q[13];\nrz(0.255) q[13];\ncx q[9], q[13];\ncx q[10], q[13];\nrz(0.255) q[13];\ncx q[10], q[13];\ncx q[11], q[13];\nrz(0.51) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(0.255) q[13];\ncx q[12], q[13];\ncx q[7], q[14];\nrz(0.3825) q[14];\ncx q[7], q[14];\ncx q[8], q[14];\nrz(0.765) q[14];\ncx q[8], q[14];\ncx q[9], q[14];\nrz(0.3825) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(0.3825) q[14];\ncx q[10], q[14];\ncx q[11], q[14];\nrz(0.765) q[14];\ncx q[11], q[14];\ncx q[12], q[14];\nrz(0.3825) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(0.765) q[14];\ncx q[13], q[14];\nrz(-0.1275) q[2];\nrz(1.785) q[7];\nrz(-0.255) q[3];\nrz(3.57) q[8];\nrz(1.785) q[9];\nrz(0.1275) q[4];\nrz(-0.255) q[0];\nrz(0.255) q[5];\nrz(0.1275) q[6];\nrz(-0.51) q[1];\nrz(2.04) q[10];\nrz(4.08) q[11];\nrz(1.6575) q[12];\nrz(3.315) q[13];\nrz(4.9725) q[14];\nh q[0];\nrz(-0.3574) q[0];\nh q[0];\nh q[1];\nrz(-0.3574) q[1];\nh q[1];\nh q[2];\nrz(-0.3574) q[2];\nh q[2];\nh q[3];\nrz(-0.3574) q[3];\nh q[3];\nh q[4];\nrz(-0.3574) q[4];\nh q[4];\nh q[5];\nrz(-0.3574) q[5];\nh q[5];\nh q[6];\nrz(-0.3574) q[6];\nh q[6];\nh q[7];\nrz(-0.3574) q[7];\nh q[7];\nh q[8];\nrz(-0.3574) q[8];\nh q[8];\nh q[9];\nrz(-0.3574) q[9];\nh q[9];\nh q[10];\nrz(-0.3574) q[10];\nh q[10];\nh q[11];\nrz(-0.3574) q[11];\nh q[11];\nh q[12];\nrz(-0.3574) q[12];\nh q[12];\nh q[13];\nrz(-0.3574) q[13];\nh q[13];\nh q[14];\nrz(-0.3574) q[14];\nh q[14];\ncx q[2], q[7];\nrz(-0.1854) q[7];\ncx q[2], q[7];\ncx q[2], q[3];\nrz(0.3708) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(-0.3708) q[3];\ncx q[7], q[3];\ncx q[2], q[8];\nrz(-0.3708) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(0.7416) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(-0.7416) q[8];\ncx q[3], q[8];\ncx q[2], q[9];\nrz(-0.1854) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(0.3708) q[9];\ncx q[7], q[9];\ncx q[3], q[9];\nrz(-0.3708) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(0.7416) q[9];\ncx q[8], q[9];\ncx q[4], q[0];\nrz(-0.1854) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(0.3708) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(-0.3708) q[5];\ncx q[0], q[5];\ncx q[4], q[6];\nrz(0.1854) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(-0.1854) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(0.3708) q[6];\ncx q[5], q[6];\ncx q[4], q[1];\nrz(-0.3708) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(0.2472) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(-0.7416) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(-0.3708) q[1];\ncx q[6], q[1];\ncx q[7], q[10];\nrz(0.1854) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(0.3708) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(0.1854) q[10];\ncx q[9], q[10];\ncx q[7], q[11];\nrz(0.3708) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(0.7416) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(0.3708) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(0.7416) q[11];\ncx q[10], q[11];\ncx q[7], q[12];\nrz(0.1854) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(0.3708) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(0.1854) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(0.1854) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(0.3708) q[12];\ncx q[11], q[12];\ncx q[7], q[13];\nrz(0.3708) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(0.7416) q[13];\ncx q[8], q[13];\ncx q[9], q[13];\nrz(0.3708) q[13];\ncx q[9], q[13];\ncx q[10], q[13];\nrz(0.3708) q[13];\ncx q[10], q[13];\ncx q[11], q[13];\nrz(0.7416) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(0.3708) q[13];\ncx q[12], q[13];\ncx q[7], q[14];\nrz(0.5562) q[14];\ncx q[7], q[14];\ncx q[8], q[14];\nrz(1.1124) q[14];\ncx q[8], q[14];\ncx q[9], q[14];\nrz(0.5562) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(0.5562) q[14];\ncx q[10], q[14];\ncx q[11], q[14];\nrz(1.1124) q[14];\ncx q[11], q[14];\ncx q[12], q[14];\nrz(0.5562) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(1.1124) q[14];\ncx q[13], q[14];\nrz(-0.1854) q[2];\nrz(2.5956) q[7];\nrz(-0.3708) q[3];\nrz(5.1912) q[8];\nrz(2.5956) q[9];\nrz(0.1854) q[4];\nrz(-0.3708) q[0];\nrz(0.3708) q[5];\nrz(0.1854) q[6];\nrz(-0.7416) q[1];\nrz(2.9664) q[10];\nrz(5.9328) q[11];\nrz(2.4102) q[12];\nrz(4.8204) q[13];\nrz(7.2306) q[14];\nh q[0];\nrz(-0.299) q[0];\nh q[0];\nh q[1];\nrz(-0.299) q[1];\nh q[1];\nh q[2];\nrz(-0.299) q[2];\nh q[2];\nh q[3];\nrz(-0.299) q[3];\nh q[3];\nh q[4];\nrz(-0.299) q[4];\nh q[4];\nh q[5];\nrz(-0.299) q[5];\nh q[5];\nh q[6];\nrz(-0.299) q[6];\nh q[6];\nh q[7];\nrz(-0.299) q[7];\nh q[7];\nh q[8];\nrz(-0.299) q[8];\nh q[8];\nh q[9];\nrz(-0.299) q[9];\nh q[9];\nh q[10];\nrz(-0.299) q[10];\nh q[10];\nh q[11];\nrz(-0.299) q[11];\nh q[11];\nh q[12];\nrz(-0.299) q[12];\nh q[12];\nh q[13];\nrz(-0.299) q[13];\nh q[13];\nh q[14];\nrz(-0.299) q[14];\nh q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[15] c;\nqubit[15] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(x2) q[3];\ncx q[7], q[3];\ncx q[2], q[8];\nrz(x2) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(x3) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(x4) q[8];\ncx q[3], q[8];\ncx q[2], q[9];\nrz(x0) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(x1) q[9];\ncx q[7], q[9];\ncx q[3], q[9];\nrz(x2) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(x3) q[9];\ncx q[8], q[9];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[4], q[6];\nrz(x5) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[4], q[1];\nrz(x2) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(x6) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(x4) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x2) q[1];\ncx q[6], q[1];\ncx q[7], q[10];\nrz(x5) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(x1) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x5) q[10];\ncx q[9], q[10];\ncx q[7], q[11];\nrz(x1) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x3) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x1) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x3) q[11];\ncx q[10], q[11];\ncx q[7], q[12];\nrz(x5) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(x1) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(x5) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(x5) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(x1) q[12];\ncx q[11], q[12];\ncx q[7], q[13];\nrz(x1) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(x3) q[13];\ncx q[8], q[13];\ncx q[9], q[13];\nrz(x1) q[13];\ncx q[9], q[13];\ncx q[10], q[13];\nrz(x1) q[13];\ncx q[10], q[13];\ncx q[11], q[13];\nrz(x3) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(x1) q[13];\ncx q[12], q[13];\ncx q[7], q[14];\nrz(x7) q[14];\ncx q[7], q[14];\ncx q[8], q[14];\nrz(x8) q[14];\ncx q[8], q[14];\ncx q[9], q[14];\nrz(x7) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x7) q[14];\ncx q[10], q[14];\ncx q[11], q[14];\nrz(x8) q[14];\ncx q[11], q[14];\ncx q[12], q[14];\nrz(x7) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x8) q[14];\ncx q[13], q[14];\nrz(x0) q[2];\nrz(x9) q[7];\nrz(x2) q[3];\nrz(x10) q[8];\nrz(x9) q[9];\nrz(x5) q[4];\nrz(x2) q[0];\nrz(x1) q[5];\nrz(x5) q[6];\nrz(x4) q[1];\nrz(x11) q[10];\nrz(x12) q[11];\nrz(x13) q[12];\nrz(x14) q[13];\nrz(x15) q[14];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nh q[6];\nrz(x16) q[6];\nh q[6];\nh q[7];\nrz(x16) q[7];\nh q[7];\nh q[8];\nrz(x16) q[8];\nh q[8];\nh q[9];\nrz(x16) q[9];\nh q[9];\nh q[10];\nrz(x16) q[10];\nh q[10];\nh q[11];\nrz(x16) q[11];\nh q[11];\nh q[12];\nrz(x16) q[12];\nh q[12];\nh q[13];\nrz(x16) q[13];\nh q[13];\nh q[14];\nrz(x16) q[14];\nh q[14];\ncx q[2], q[7];\nrz(x17) q[7];\ncx q[2], q[7];\ncx q[2], q[3];\nrz(x18) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(x19) q[3];\ncx q[7], q[3];\ncx q[2], q[8];\nrz(x19) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(x20) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(x21) q[8];\ncx q[3], q[8];\ncx q[2], q[9];\nrz(x17) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(x18) q[9];\ncx q[7], q[9];\ncx q[3], q[9];\nrz(x19) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(x20) q[9];\ncx q[8], q[9];\ncx q[4], q[0];\nrz(x17) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(x18) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x19) q[5];\ncx q[0], q[5];\ncx q[4], q[6];\nrz(x22) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x17) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[4], q[1];\nrz(x19) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(x23) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(x21) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x19) q[1];\ncx q[6], q[1];\ncx q[7], q[10];\nrz(x22) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(x18) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x22) q[10];\ncx q[9], q[10];\ncx q[7], q[11];\nrz(x18) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x20) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x18) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x20) q[11];\ncx q[10], q[11];\ncx q[7], q[12];\nrz(x22) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(x18) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(x22) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(x22) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(x18) q[12];\ncx q[11], q[12];\ncx q[7], q[13];\nrz(x18) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(x20) q[13];\ncx q[8], q[13];\ncx q[9], q[13];\nrz(x18) q[13];\ncx q[9], q[13];\ncx q[10], q[13];\nrz(x18) q[13];\ncx q[10], q[13];\ncx q[11], q[13];\nrz(x20) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(x18) q[13];\ncx q[12], q[13];\ncx q[7], q[14];\nrz(x24) q[14];\ncx q[7], q[14];\ncx q[8], q[14];\nrz(x25) q[14];\ncx q[8], q[14];\ncx q[9], q[14];\nrz(x24) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x24) q[14];\ncx q[10], q[14];\ncx q[11], q[14];\nrz(x25) q[14];\ncx q[11], q[14];\ncx q[12], q[14];\nrz(x24) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x25) q[14];\ncx q[13], q[14];\nrz(x17) q[2];\nrz(x26) q[7];\nrz(x19) q[3];\nrz(x27) q[8];\nrz(x26) q[9];\nrz(x22) q[4];\nrz(x19) q[0];\nrz(x18) q[5];\nrz(x22) q[6];\nrz(x21) q[1];\nrz(x28) q[10];\nrz(x29) q[11];\nrz(x30) q[12];\nrz(x31) q[13];\nrz(x32) q[14];\nh q[0];\nrz(x33) q[0];\nh q[0];\nh q[1];\nrz(x33) q[1];\nh q[1];\nh q[2];\nrz(x33) q[2];\nh q[2];\nh q[3];\nrz(x33) q[3];\nh q[3];\nh q[4];\nrz(x33) q[4];\nh q[4];\nh q[5];\nrz(x33) q[5];\nh q[5];\nh q[6];\nrz(x33) q[6];\nh q[6];\nh q[7];\nrz(x33) q[7];\nh q[7];\nh q[8];\nrz(x33) q[8];\nh q[8];\nh q[9];\nrz(x33) q[9];\nh q[9];\nh q[10];\nrz(x33) q[10];\nh q[10];\nh q[11];\nrz(x33) q[11];\nh q[11];\nh q[12];\nrz(x33) q[12];\nh q[12];\nh q[13];\nrz(x33) q[13];\nh q[13];\nh q[14];\nrz(x33) q[14];\nh q[14];\ncx q[2], q[7];\nrz(x34) q[7];\ncx q[2], q[7];\ncx q[2], q[3];\nrz(x35) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(x36) q[3];\ncx q[7], q[3];\ncx q[2], q[8];\nrz(x36) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(x37) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(x38) q[8];\ncx q[3], q[8];\ncx q[2], q[9];\nrz(x34) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(x35) q[9];\ncx q[7], q[9];\ncx q[3], q[9];\nrz(x36) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(x37) q[9];\ncx q[8], q[9];\ncx q[4], q[0];\nrz(x34) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(x35) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x36) q[5];\ncx q[0], q[5];\ncx q[4], q[6];\nrz(x39) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x34) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x35) q[6];\ncx q[5], q[6];\ncx q[4], q[1];\nrz(x36) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(x40) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(x38) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x36) q[1];\ncx q[6], q[1];\ncx q[7], q[10];\nrz(x39) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(x35) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x39) q[10];\ncx q[9], q[10];\ncx q[7], q[11];\nrz(x35) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x37) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x35) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x37) q[11];\ncx q[10], q[11];\ncx q[7], q[12];\nrz(x39) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(x35) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(x39) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(x39) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(x35) q[12];\ncx q[11], q[12];\ncx q[7], q[13];\nrz(x35) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(x37) q[13];\ncx q[8], q[13];\ncx q[9], q[13];\nrz(x35) q[13];\ncx q[9], q[13];\ncx q[10], q[13];\nrz(x35) q[13];\ncx q[10], q[13];\ncx q[11], q[13];\nrz(x37) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(x35) q[13];\ncx q[12], q[13];\ncx q[7], q[14];\nrz(x41) q[14];\ncx q[7], q[14];\ncx q[8], q[14];\nrz(x42) q[14];\ncx q[8], q[14];\ncx q[9], q[14];\nrz(x41) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x41) q[14];\ncx q[10], q[14];\ncx q[11], q[14];\nrz(x42) q[14];\ncx q[11], q[14];\ncx q[12], q[14];\nrz(x41) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x42) q[14];\ncx q[13], q[14];\nrz(x34) q[2];\nrz(x43) q[7];\nrz(x36) q[3];\nrz(x44) q[8];\nrz(x43) q[9];\nrz(x39) q[4];\nrz(x36) q[0];\nrz(x35) q[5];\nrz(x39) q[6];\nrz(x38) q[1];\nrz(x45) q[10];\nrz(x46) q[11];\nrz(x47) q[12];\nrz(x48) q[13];\nrz(x49) q[14];\nh q[0];\nrz(x50) q[0];\nh q[0];\nh q[1];\nrz(x50) q[1];\nh q[1];\nh q[2];\nrz(x50) q[2];\nh q[2];\nh q[3];\nrz(x50) q[3];\nh q[3];\nh q[4];\nrz(x50) q[4];\nh q[4];\nh q[5];\nrz(x50) q[5];\nh q[5];\nh q[6];\nrz(x50) q[6];\nh q[6];\nh q[7];\nrz(x50) q[7];\nh q[7];\nh q[8];\nrz(x50) q[8];\nh q[8];\nh q[9];\nrz(x50) q[9];\nh q[9];\nh q[10];\nrz(x50) q[10];\nh q[10];\nh q[11];\nrz(x50) q[11];\nh q[11];\nh q[12];\nrz(x50) q[12];\nh q[12];\nh q[13];\nrz(x50) q[13];\nh q[13];\nh q[14];\nrz(x50) q[14];\nh q[14];\ncx q[2], q[7];\nrz(x51) q[7];\ncx q[2], q[7];\ncx q[2], q[3];\nrz(x52) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(x53) q[3];\ncx q[7], q[3];\ncx q[2], q[8];\nrz(x53) q[8];\ncx q[2], q[8];\ncx q[7], q[8];\nrz(x54) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(x55) q[8];\ncx q[3], q[8];\ncx q[2], q[9];\nrz(x51) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(x52) q[9];\ncx q[7], q[9];\ncx q[3], q[9];\nrz(x53) q[9];\ncx q[3], q[9];\ncx q[8], q[9];\nrz(x54) q[9];\ncx q[8], q[9];\ncx q[4], q[0];\nrz(x51) q[0];\ncx q[4], q[0];\ncx q[4], q[5];\nrz(x52) q[5];\ncx q[4], q[5];\ncx q[0], q[5];\nrz(x53) q[5];\ncx q[0], q[5];\ncx q[4], q[6];\nrz(x56) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x51) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x52) q[6];\ncx q[5], q[6];\ncx q[4], q[1];\nrz(x53) q[1];\ncx q[4], q[1];\ncx q[0], q[1];\nrz(x57) q[1];\ncx q[0], q[1];\ncx q[5], q[1];\nrz(x55) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x53) q[1];\ncx q[6], q[1];\ncx q[7], q[10];\nrz(x56) q[10];\ncx q[7], q[10];\ncx q[8], q[10];\nrz(x52) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x56) q[10];\ncx q[9], q[10];\ncx q[7], q[11];\nrz(x52) q[11];\ncx q[7], q[11];\ncx q[8], q[11];\nrz(x54) q[11];\ncx q[8], q[11];\ncx q[9], q[11];\nrz(x52) q[11];\ncx q[9], q[11];\ncx q[10], q[11];\nrz(x54) q[11];\ncx q[10], q[11];\ncx q[7], q[12];\nrz(x56) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(x52) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(x56) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(x56) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(x52) q[12];\ncx q[11], q[12];\ncx q[7], q[13];\nrz(x52) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(x54) q[13];\ncx q[8], q[13];\ncx q[9], q[13];\nrz(x52) q[13];\ncx q[9], q[13];\ncx q[10], q[13];\nrz(x52) q[13];\ncx q[10], q[13];\ncx q[11], q[13];\nrz(x54) q[13];\ncx q[11], q[13];\ncx q[12], q[13];\nrz(x52) q[13];\ncx q[12], q[13];\ncx q[7], q[14];\nrz(x58) q[14];\ncx q[7], q[14];\ncx q[8], q[14];\nrz(x59) q[14];\ncx q[8], q[14];\ncx q[9], q[14];\nrz(x58) q[14];\ncx q[9], q[14];\ncx q[10], q[14];\nrz(x58) q[14];\ncx q[10], q[14];\ncx q[11], q[14];\nrz(x59) q[14];\ncx q[11], q[14];\ncx q[12], q[14];\nrz(x58) q[14];\ncx q[12], q[14];\ncx q[13], q[14];\nrz(x59) q[14];\ncx q[13], q[14];\nrz(x51) q[2];\nrz(x60) q[7];\nrz(x53) q[3];\nrz(x61) q[8];\nrz(x60) q[9];\nrz(x56) q[4];\nrz(x53) q[0];\nrz(x52) q[5];\nrz(x56) q[6];\nrz(x55) q[1];\nrz(x62) q[10];\nrz(x63) q[11];\nrz(x64) q[12];\nrz(x65) q[13];\nrz(x66) q[14];\nh q[0];\nrz(x67) q[0];\nh q[0];\nh q[1];\nrz(x67) q[1];\nh q[1];\nh q[2];\nrz(x67) q[2];\nh q[2];\nh q[3];\nrz(x67) q[3];\nh q[3];\nh q[4];\nrz(x67) q[4];\nh q[4];\nh q[5];\nrz(x67) q[5];\nh q[5];\nh q[6];\nrz(x67) q[6];\nh q[6];\nh q[7];\nrz(x67) q[7];\nh q[7];\nh q[8];\nrz(x67) q[8];\nh q[8];\nh q[9];\nrz(x67) q[9];\nh q[9];\nh q[10];\nrz(x67) q[10];\nh q[10];\nh q[11];\nrz(x67) q[11];\nh q[11];\nh q[12];\nrz(x67) q[12];\nh q[12];\nh q[13];\nrz(x67) q[13];\nh q[13];\nh q[14];\nrz(x67) q[14];\nh q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["-2366032373491310907","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 1, 2, 5, 6, 7], [1, 2, 3, 4], [3, 4, 6], [4, 7], [3, 4, 5], [0, 3], [1, 4, 5], [1, 3, 5]]}","{\"states\": [110, 238], \"expectation_value\": -1.9064159834684373, \"params\": [[[1.598, -0.7695000000000001, 0.0095, 0.006900000000000001], [0.16790000000000002, -0.7696000000000001, 0.0322, 0.0041], [1.5799, -0.0036000000000000003, 1.578, 0.0036000000000000003], [1.5964, 0.0027, 1.4698, 0.0008], [1.5789, 0.0038, 1.5823, 0.0071], [0.4849, 0.7414000000000001, -0.0362, 0.0054], [1.5836000000000001, -0.0021000000000000003, 1.5790000000000002, 0.0079], [0.2536, 0.0058000000000000005, 0.0077, 0.0094]]], \"bitstrings\": [\"10010001\", \"00010001\"], \"total_optimization_steps\": 160, \"probabilities\": [0.4497906854050798, 0.47370297143883905], \"optimization_time\": 5.562925577163696}","0.03333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(7) @ Z(1)) + 0.03333333333333333 * (Z(7) @ Z(0)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.03333333333333333 * (Z(7) @ Z(5)) + 0.03333333333333333 * (Z(7) @ Z(6)) + 0.25 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.41666666666666663 * (Z(4) @ Z(3)) + 0.5416666666666666 * Z(1) + 0.08333333333333326 * Z(0) + 0.20833333333333331 * Z(2) + 0.5833333333333333 * Z(5) + 0.25 * Z(6) + 0.08333333333333326 * Z(7) + 0.625 * Z(3) + 0.625 * Z(4)",11,8,1,"{\"smallest_eigenvalues\": [-2.416666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.416666666666666, \"smallest_bitstrings\": [\"00010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(1.598) q[0];\nrz(-0.7695) q[0];\nry(0.1679) q[1];\nrz(-0.7696) q[1];\nry(1.5799) q[2];\nrz(-0.0036) q[2];\nry(1.5964) q[3];\nrz(0.0027) q[3];\nry(1.5789) q[4];\nrz(0.0038) q[4];\nry(0.4849) q[5];\nrz(0.7414) q[5];\nry(1.5836) q[6];\nrz(-0.0021) q[6];\nry(0.2536) q[7];\nrz(0.0058) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(0.0322) q[1];\nrz(0.0041) q[1];\nry(1.578) q[2];\nrz(0.0036) q[2];\ncx q[2], q[1];\nry(1.4698) q[3];\nrz(0.0008) q[3];\nry(1.5823) q[4];\nrz(0.0071) q[4];\ncx q[4], q[3];\nry(-0.0362) q[5];\nrz(0.0054) q[5];\nry(1.579) q[6];\nrz(0.0079) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x16) q[1];\nrz(x17) q[1];\nry(x18) q[2];\nrz(x19) q[2];\ncx q[2], q[1];\nry(x20) q[3];\nrz(x21) q[3];\nry(x22) q[4];\nrz(x23) q[4];\ncx q[4], q[3];\nry(x24) q[5];\nrz(x25) q[5];\nry(x26) q[6];\nrz(x27) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["-7739192368442748783","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 4, 6, 7, 8], [2, 5, 7], [2, 3, 4, 6, 7], [8, 0, 3, 6], [2, 3, 5, 6, 8], [1, 2, 4, 7, 8], [8, 4, 5], [0, 1], [2, 3, 6, 7, 8], [1, 2, 3, 4, 6, 8], [2, 3, 4, 5, 6], [0, 5, 7]]}","{\"states\": [303, 175], \"expectation_value\": -3.041340251238334, \"params\": null, \"bitstrings\": [\"011010000\", \"101010000\"], \"total_optimization_steps\": 49, \"probabilities\": [0.043513254580781174, 0.8766203568743314], \"optimization_time\": 122.11522030830383}","0.13333333333333333 * (Z(1) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(4)) + 0.08333333333333334 * (Z(6) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(6)) + 0.3 * (Z(8) @ Z(4)) + 0.13333333333333333 * (Z(8) @ Z(1)) + 0.26666666666666666 * (Z(8) @ Z(6)) + 0.15000000000000002 * (Z(8) @ Z(7)) + 0.18333333333333335 * (Z(2) @ Z(4)) + 0.08333333333333334 * (Z(2) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(6)) + 0.31666666666666665 * (Z(2) @ Z(7)) + 0.18333333333333335 * (Z(2) @ Z(8)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.1 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.21666666666666667 * (Z(5) @ Z(8)) + 0.26666666666666666 * (Z(5) @ Z(2)) + 0.13333333333333336 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.31666666666666665 * (Z(3) @ Z(6)) + 0.1 * (Z(3) @ Z(7)) + 0.21666666666666667 * (Z(3) @ Z(8)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.6499999999999998 * Z(4) + 0.2833333333333333 * Z(1) + 0.7083333333333334 * Z(6) + 0.7333333333333335 * Z(7) + 0.775 * Z(8) + 0.75 * Z(2) + 0.7000000000000002 * Z(5) + 0.6083333333333334 * Z(3) + 0.29166666666666663 * Z(0)",1,9,1,"{\"smallest_eigenvalues\": [-3.1500000000000004], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.1499999999999995, \"smallest_bitstrings\": [\"101010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5524) q[8];\nry(1.4977) q[7];\nry(1.1415) q[3];\ncry(-1.0796) q[1], q[0];\nry(0.7522) q[1];\ncry(-0.5056) q[7], q[0];\ncry(0.5) q[8], q[1];\ncry(-0.3476) q[8], q[0];\ncry(0.8968) q[1], q[5];\ncry(-1.0569) q[5], q[2];\nry(0.4465) q[5];\ncry(0.3878) q[8], q[3];\ncry(-0.4541) q[1], q[2];\ncry(-0.5995) q[6], q[4];\nry(0.6161) q[6];\ncry(-0.614) q[1], q[4];\ncry(0.5559) q[8], q[6];\ncry(-0.4125) q[5], q[4];\ncry(0.1892) q[3], q[1];\ncry(-0.1233) q[5], q[0];\ncry(0.2566) q[5], q[6];\ncry(0.1252) q[3], q[5];\ncry(-0.1485) q[7], q[2];\ncry(-0.1645) q[7], q[4];\ncry(0.0662) q[8], q[7];\ncry(0.0933) q[1], q[6];\ncry(0.0476) q[7], q[1];\ncry(-0.0584) q[8], q[4];\ncry(0.0369) q[7], q[5];\ncry(-0.0265) q[6], q[2];\ncry(0.0322) q[7], q[3];\ncry(0.0313) q[3], q[6];\ncry(-0.0103) q[6], q[0];\ncry(-0.021) q[3], q[4];\ncry(-0.0246) q[0], q[1];\ncry(-0.0253) q[2], q[5];\ncry(0.0148) q[7], q[8];\ncry(0.0105) q[7], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":44569,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5524) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5524) q[8];\\nry(1.4977) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5524) q[8];\\nry(1.4977) q[7];\\nry(1.1415) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5524) q[8];\\nry(1.4977) q[7];\\nry(1.1415) q[3];\\ncry(-1.0796) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5524) q[8];\\nry(1.4977) q[7];\\nry(1.1415) q[3];\\ncry(-1.0796) q[1], q[0];\\nry(0.7522) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5524) q[8];\\nry(1.4977) q[7];\\nry(1.1415) q[3];\\ncry(-1.0796) q[1], q[0];\\nry(0.7522) q[1];\\ncry(-0.5056) q[7], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5524) q[8];\\nry(1.4977) q[7];\\nry(1.1415) q[3];\\ncry(-1.0796) q[1], q[0];\\nry(0.7522) q[1];\\ncry(-0.5056) q[7], q[0];\\ncry(0.5) q[8], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5524) q[8];\\nry(1.4977) q[7];\\nry(1.1415) q[3];\\ncry(-1.0796) q[1], q[0];\\nry(0.7522) q[1];\\ncry(-0.5056) q[7], q[0];\\ncry(0.5) q[8], q[1];\\ncry(-0.3476) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5524) q[8];\\nry(1.4977) q[7];\\nry(1.1415) q[3];\\ncry(-1.0796) q[1], q[0];\\nry(0.7522) q[1];\\ncry(-0.5056) q[7], q[0];\\ncry(0.5) q[8], q[1];\\ncry(-0.3476) q[8], q[0];\\ncry(0.8968) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\n"}}]
["50b1c25b4f3602b10eee86e1dbea9d5c","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [82, 114], \"expectation_value\": -3.021768394853257, \"params\": [[[1.6059, 0.0098], [1.6022, 0.0033], [1.6078000000000001, 0.0006000000000000001], [0.0022, 0.0048000000000000004], [0.1376, 0.0024000000000000002], [1.6054000000000002, 0.0037], [0.3755, 0.0034000000000000002]]], \"bitstrings\": [\"0101101\", \"0001101\"], \"total_optimization_steps\": 160, \"probabilities\": [0.0645806683659626, 0.06876655809283154], \"optimization_time\": 2.421496868133545}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(6) + -1.0 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"0001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(1.6059) q[0];\nrz(0.0098) q[0];\nrx(1.6022) q[1];\nrz(0.0033) q[1];\nrx(1.6078) q[2];\nrz(0.0006) q[2];\nrx(0.0022) q[3];\nrz(0.0048) q[3];\nrx(0.1376) q[4];\nrz(0.0024) q[4];\nrx(1.6054) q[5];\nrz(0.0037) q[5];\nrx(0.3755) q[6];\nrz(0.0034) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["2fe717ea46813ceed4568f553b83653e","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 0, \"target\": 10}, {\"capacity\": 4, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 11}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 5, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 8}, {\"capacity\": 3, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 10}, {\"capacity\": 3, \"source\": 5, \"target\": 4}, {\"capacity\": 4, \"source\": 6, \"target\": 5}, {\"capacity\": 4, \"source\": 6, \"target\": 11}, {\"capacity\": 1, \"source\": 7, \"target\": 2}, {\"capacity\": 5, \"source\": 7, \"target\": 9}, {\"capacity\": 4, \"source\": 8, \"target\": 9}, {\"capacity\": 5, \"source\": 10, \"target\": 2}, {\"capacity\": 2, \"source\": 10, \"target\": 3}]}","{\"states\": [0, 1280], \"expectation_value\": -13.33165070044808, \"params\": [-0.0007, -0.0049, -0.6038, -0.548, -0.079, 0.022500000000000003, 0.1047, -0.0362, -0.0018000000000000002, -0.008, -0.0016, -0.0054, -0.007, -0.0044, 0.0005, -0.008700000000000001, -0.0028, -0.0057, -0.0216, -0.0063, -0.007200000000000001, -0.0028, 0.0024000000000000002, -0.0005, -0.0112, -0.012400000000000001, -0.48860000000000003, -0.4484, 0.059800000000000006, -0.0337, -0.048400000000000006, 0.038400000000000004, 0.0001, -0.004200000000000001, -0.0001, -0.0046, -0.0071, -0.0016, -0.0095, -0.0037, 0.0005, -0.0053, 0.0261, -0.0033, -0.0031000000000000003, -0.0009000000000000001, 0.0057, 0.0033, 0.0131, 0.0172, 0.062200000000000005, 0.0521, 0.014100000000000001, 0.0024000000000000002, 0.0702, 0.0015, -0.0021000000000000003, -0.0018000000000000002, -0.0016, -0.005200000000000001, -0.0014, -0.0025, 0.0035, 0.0015, -0.001, -0.0053, -0.011300000000000001, -0.027200000000000002, -0.005200000000000001, -0.0049, -0.0006000000000000001, 0.0007, 0.0132, 0.0131, 0.08460000000000001, -0.0585, -0.0408, 0.0189, -0.015300000000000001, 0.09480000000000001, -0.004200000000000001, -0.0026000000000000003, -0.0039000000000000003, 0.0004, 0.0007, 0.0002, -0.0023, -0.0013000000000000002, -0.004200000000000001, -0.0014, 0.004200000000000001, 0.0076, -0.005200000000000001, 0.0058000000000000005, 0.0039000000000000003, 0.0028, 1.3853, 1.2709000000000001, -0.21300000000000002, 0.1044, -0.6085, -0.1313, 1.0389000000000002, -0.7278, -0.0006000000000000001, 1.1679000000000002, 1.2556, -0.005200000000000001, 1.2957, 1.4033, 1.3900000000000001, 0.9547, 1.0392000000000001, 1.3569, 1.3046, 0.9829, 0.8717, 1.1657, 0.051500000000000004, 1.0705, 1.3291000000000002, 1.3469, 0.014, 0.0763, -0.7789, 0.1194, 1.2099, -1.2994, -0.0043, 1.0224, 1.3495000000000001, -0.0024000000000000002, 1.3884, 1.3598000000000001, 1.3976000000000002, 1.1473, 1.2631000000000001, 1.2886, 0.334, 1.3724, 1.0926, 0.26990000000000003, -0.10540000000000001, 1.1381000000000001, 1.2717, 1.2223000000000002, -0.0092, -0.0867, -0.9037000000000001, -0.13970000000000002, 1.0045, -0.8437, -0.0027, 1.0992, 1.343, -0.0029000000000000002, 0.7971, 1.1968, 0.3512, 0.9066000000000001, 1.247, 0.6773, -0.4466, 1.0287, 1.1473, -0.3709, -0.2119, 0.9773000000000001, 0.5637, 1.3760000000000001, 0.1187, 0.15410000000000001, -0.6970000000000001, 0.1457, 0.9065000000000001, -0.6934, -0.0011, 0.7147, 0.3558, -0.003, -0.5599000000000001, -1.3058, -1.1463, -1.2913000000000001, -0.6873, -0.6867000000000001, 0.21960000000000002, -1.093, 0.2937, 0.5686, -0.0216, -1.0771], \"bitstrings\": [\"111111111111\", \"101011111111\"], \"total_optimization_steps\": 190, \"probabilities\": [0.3284629942385871, 0.6461243350592742], \"optimization_time\": 48.79493546485901}","-0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(9) @ Z(4)) + -0.5 * (Z(10) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(9)) + -1.0 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(6)) + -1.25 * (Z(11) @ Z(9)) + -1.0 * (Z(11) @ Z(10)) + 1.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(8) + 1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(9) + 0.5 * Z(10) + 0.25 * Z(6) + -0.25 * Z(7) + -2.25 * Z(11)",14,12,4,"{\"smallest_eigenvalues\": [-13.75, -13.75, -13.75, -13.75], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -12.75, \"smallest_bitstrings\": [\"100000000000\", \"100000000011\", \"101011111111\", \"100000000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.0007) q[0];\nry(-0.6038) q[1];\nry(-0.079) q[2];\nry(0.1047) q[3];\nry(-0.0018) q[4];\nry(-0.0016) q[5];\nry(-0.007) q[6];\nry(0.0005) q[7];\nry(-0.0028) q[8];\nry(-0.0216) q[9];\nry(-0.0072) q[10];\nry(0.0024) q[11];\ncrx(1.3853) q[11], q[0];\ncrx(0.0515) q[10], q[11];\ncrx(0.8717) q[9], q[10];\ncrx(1.3046) q[8], q[9];\ncrx(1.0392) q[7], q[8];\ncrx(1.39) q[6], q[7];\ncrx(1.2957) q[5], q[6];\ncrx(1.2556) q[4], q[5];\ncrx(-0.0006) q[3], q[4];\ncrx(1.0389) q[2], q[3];\ncrx(-0.6085) q[1], q[2];\ncrx(-0.213) q[0], q[1];\nry(-0.0049) q[0];\nry(-0.548) q[1];\nry(0.0225) q[2];\nry(-0.0362) q[3];\nry(-0.008) q[4];\nry(-0.0054) q[5];\nry(-0.0044) q[6];\nry(-0.0087) q[7];\nry(-0.0057) q[8];\nry(-0.0063) q[9];\nry(-0.0028) q[10];\nry(-0.0005) q[11];\ncrx(1.2709) q[11], q[10];\ncrx(0.1044) q[0], q[11];\ncrx(-0.1313) q[0], q[1];\ncrx(-0.7278) q[1], q[2];\ncrx(1.1679) q[2], q[3];\ncrx(-0.0052) q[3], q[4];\ncrx(1.4033) q[4], q[5];\ncrx(0.9547) q[5], q[6];\ncrx(1.3569) q[6], q[7];\ncrx(0.9829) q[7], q[8];\ncrx(1.1657) q[8], q[9];\ncrx(1.0705) q[9], q[10];\nry(-0.0112) q[0];\nry(-0.4886) q[1];\nry(0.0598) q[2];\nry(-0.0484) q[3];\nry(0.0001) q[4];\nry(-0.0001) q[5];\nry(-0.0071) q[6];\nry(-0.0095) q[7];\nry(0.0005) q[8];\nry(0.0261) q[9];\nry(-0.0031) q[10];\nry(0.0057) q[11];\ncrx(1.3291) q[11], q[0];\ncrx(-0.1054) q[10], q[11];\ncrx(1.0926) q[9], q[10];\ncrx(0.334) q[8], q[9];\ncrx(1.2631) q[7], q[8];\ncrx(1.3976) q[6], q[7];\ncrx(1.3884) q[5], q[6];\ncrx(1.3495) q[4], q[5];\ncrx(-0.0043) q[3], q[4];\ncrx(1.2099) q[2], q[3];\ncrx(-0.7789) q[1], q[2];\ncrx(0.014) q[0], q[1];\nry(-0.0124) q[0];\nry(-0.4484) q[1];\nry(-0.0337) q[2];\nry(0.0384) q[3];\nry(-0.0042) q[4];\nry(-0.0046) q[5];\nry(-0.0016) q[6];\nry(-0.0037) q[7];\nry(-0.0053) q[8];\nry(-0.0033) q[9];\nry(-0.0009) q[10];\nry(0.0033) q[11];\ncrx(1.3469) q[11], q[10];\ncrx(0.0763) q[0], q[11];\ncrx(0.1194) q[0], q[1];\ncrx(-1.2994) q[1], q[2];\ncrx(1.0224) q[2], q[3];\ncrx(-0.0024) q[3], q[4];\ncrx(1.3598) q[4], q[5];\ncrx(1.1473) q[5], q[6];\ncrx(1.2886) q[6], q[7];\ncrx(1.3724) q[7], q[8];\ncrx(0.2699) q[8], q[9];\ncrx(1.1381) q[9], q[10];\nry(0.0131) q[0];\nry(0.0622) q[1];\nry(0.0141) q[2];\nry(0.0702) q[3];\nry(-0.0021) q[4];\nry(-0.0016) q[5];\nry(-0.0014) q[6];\nry(0.0035) q[7];\nry(-0.001) q[8];\nry(-0.0113) q[9];\nry(-0.0052) q[10];\nry(-0.0006) q[11];\ncrx(1.2717) q[11], q[0];\ncrx(-0.2119) q[10], q[11];\ncrx(1.1473) q[9], q[10];\ncrx(-0.4466) q[8], q[9];\ncrx(1.247) q[7], q[8];\ncrx(0.3512) q[6], q[7];\ncrx(0.7971) q[5], q[6];\ncrx(1.343) q[4], q[5];\ncrx(-0.0027) q[3], q[4];\ncrx(1.0045) q[2], q[3];\ncrx(-0.9037) q[1], q[2];\ncrx(-0.0092) q[0], q[1];\nry(0.0172) q[0];\nry(0.0521) q[1];\nry(0.0024) q[2];\nry(0.0015) q[3];\nry(-0.0018) q[4];\nry(-0.0052) q[5];\nry(-0.0025) q[6];\nry(0.0015) q[7];\nry(-0.0053) q[8];\nry(-0.0272) q[9];\nry(-0.0049) q[10];\nry(0.0007) q[11];\ncrx(1.2223) q[11], q[10];\ncrx(-0.0867) q[0], q[11];\ncrx(-0.1397) q[0], q[1];\ncrx(-0.8437) q[1], q[2];\ncrx(1.0992) q[2], q[3];\ncrx(-0.0029) q[3], q[4];\ncrx(1.1968) q[4], q[5];\ncrx(0.9066) q[5], q[6];\ncrx(0.6773) q[6], q[7];\ncrx(1.0287) q[7], q[8];\ncrx(-0.3709) q[8], q[9];\ncrx(0.9773) q[9], q[10];\nry(0.0132) q[0];\nry(0.0846) q[1];\nry(-0.0408) q[2];\nry(-0.0153) q[3];\nry(-0.0042) q[4];\nry(-0.0039) q[5];\nry(0.0007) q[6];\nry(-0.0023) q[7];\nry(-0.0042) q[8];\nry(0.0042) q[9];\nry(-0.0052) q[10];\nry(0.0039) q[11];\ncrx(0.5637) q[11], q[0];\ncrx(-0.0216) q[10], q[11];\ncrx(0.2937) q[9], q[10];\ncrx(0.2196) q[8], q[9];\ncrx(-0.6873) q[7], q[8];\ncrx(-1.1463) q[6], q[7];\ncrx(-0.5599) q[5], q[6];\ncrx(0.3558) q[4], q[5];\ncrx(-0.0011) q[3], q[4];\ncrx(0.9065) q[2], q[3];\ncrx(-0.697) q[1], q[2];\ncrx(0.1187) q[0], q[1];\nry(0.0131) q[0];\nry(-0.0585) q[1];\nry(0.0189) q[2];\nry(0.0948) q[3];\nry(-0.0026) q[4];\nry(0.0004) q[5];\nry(0.0002) q[6];\nry(-0.0013) q[7];\nry(-0.0014) q[8];\nry(0.0076) q[9];\nry(0.0058) q[10];\nry(0.0028) q[11];\ncrx(1.376) q[11], q[10];\ncrx(0.1541) q[0], q[11];\ncrx(0.1457) q[0], q[1];\ncrx(-0.6934) q[1], q[2];\ncrx(0.7147) q[2], q[3];\ncrx(-0.003) q[3], q[4];\ncrx(-1.3058) q[4], q[5];\ncrx(-1.2913) q[5], q[6];\ncrx(-0.6867) q[6], q[7];\ncrx(-1.093) q[7], q[8];\ncrx(0.5686) q[8], q[9];\ncrx(-1.0771) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncrx(x12) q[11], q[0];\ncrx(x13) q[10], q[11];\ncrx(x14) q[9], q[10];\ncrx(x15) q[8], q[9];\ncrx(x16) q[7], q[8];\ncrx(x17) q[6], q[7];\ncrx(x18) q[5], q[6];\ncrx(x19) q[4], q[5];\ncrx(x20) q[3], q[4];\ncrx(x21) q[2], q[3];\ncrx(x22) q[1], q[2];\ncrx(x23) q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x32) q[8];\nry(x33) q[9];\nry(x8) q[10];\nry(x34) q[11];\ncrx(x35) q[11], q[10];\ncrx(x36) q[0], q[11];\ncrx(x37) q[0], q[1];\ncrx(x38) q[1], q[2];\ncrx(x39) q[2], q[3];\ncrx(x40) q[3], q[4];\ncrx(x41) q[4], q[5];\ncrx(x42) q[5], q[6];\ncrx(x43) q[6], q[7];\ncrx(x44) q[7], q[8];\ncrx(x45) q[8], q[9];\ncrx(x46) q[9], q[10];\nry(x47) q[0];\nry(x48) q[1];\nry(x49) q[2];\nry(x50) q[3];\nry(x51) q[4];\nry(x52) q[5];\nry(x53) q[6];\nry(x54) q[7];\nry(x7) q[8];\nry(x55) q[9];\nry(x56) q[10];\nry(x57) q[11];\ncrx(x58) q[11], q[0];\ncrx(x59) q[10], q[11];\ncrx(x60) q[9], q[10];\ncrx(x61) q[8], q[9];\ncrx(x62) q[7], q[8];\ncrx(x63) q[6], q[7];\ncrx(x64) q[5], q[6];\ncrx(x65) q[4], q[5];\ncrx(x66) q[3], q[4];\ncrx(x67) q[2], q[3];\ncrx(x68) q[1], q[2];\ncrx(x69) q[0], q[1];\nry(x70) q[0];\nry(x71) q[1];\nry(x72) q[2];\nry(x73) q[3];\nry(x74) q[4];\nry(x75) q[5];\nry(x5) q[6];\nry(x76) q[7];\nry(x77) q[8];\nry(x78) q[9];\nry(x79) q[10];\nry(x80) q[11];\ncrx(x81) q[11], q[10];\ncrx(x82) q[0], q[11];\ncrx(x83) q[0], q[1];\ncrx(x84) q[1], q[2];\ncrx(x85) q[2], q[3];\ncrx(x86) q[3], q[4];\ncrx(x87) q[4], q[5];\ncrx(x88) q[5], q[6];\ncrx(x89) q[6], q[7];\ncrx(x90) q[7], q[8];\ncrx(x91) q[8], q[9];\ncrx(x92) q[9], q[10];\nry(x93) q[0];\nry(x94) q[1];\nry(x95) q[2];\nry(x96) q[3];\nry(x97) q[4];\nry(x5) q[5];\nry(x98) q[6];\nry(x99) q[7];\nry(x100) q[8];\nry(x101) q[9];\nry(x40) q[10];\nry(x20) q[11];\ncrx(x102) q[11], q[0];\ncrx(x103) q[10], q[11];\ncrx(x88) q[9], q[10];\ncrx(x104) q[8], q[9];\ncrx(x105) q[7], q[8];\ncrx(x106) q[6], q[7];\ncrx(x107) q[5], q[6];\ncrx(x108) q[4], q[5];\ncrx(x109) q[3], q[4];\ncrx(x110) q[2], q[3];\ncrx(x111) q[1], q[2];\ncrx(x112) q[0], q[1];\nry(x113) q[0];\nry(x114) q[1];\nry(x11) q[2];\nry(x115) q[3];\nry(x4) q[4];\nry(x40) q[5];\nry(x116) q[6];\nry(x115) q[7];\nry(x77) q[8];\nry(x117) q[9];\nry(x24) q[10];\nry(x118) q[11];\ncrx(x119) q[11], q[10];\ncrx(x120) q[0], q[11];\ncrx(x121) q[0], q[1];\ncrx(x122) q[1], q[2];\ncrx(x123) q[2], q[3];\ncrx(x124) q[3], q[4];\ncrx(x125) q[4], q[5];\ncrx(x126) q[5], q[6];\ncrx(x127) q[6], q[7];\ncrx(x128) q[7], q[8];\ncrx(x129) q[8], q[9];\ncrx(x130) q[9], q[10];\nry(x131) q[0];\nry(x132) q[1];\nry(x133) q[2];\nry(x134) q[3];\nry(x74) q[4];\nry(x135) q[5];\nry(x118) q[6];\nry(x136) q[7];\nry(x74) q[8];\nry(x137) q[9];\nry(x40) q[10];\nry(x138) q[11];\ncrx(x139) q[11], q[0];\ncrx(x9) q[10], q[11];\ncrx(x140) q[9], q[10];\ncrx(x141) q[8], q[9];\ncrx(x142) q[7], q[8];\ncrx(x143) q[6], q[7];\ncrx(x144) q[5], q[6];\ncrx(x145) q[4], q[5];\ncrx(x146) q[3], q[4];\ncrx(x147) q[2], q[3];\ncrx(x148) q[1], q[2];\ncrx(x149) q[0], q[1];\nry(x93) q[0];\nry(x150) q[1];\nry(x151) q[2];\nry(x152) q[3];\nry(x153) q[4];\nry(x154) q[5];\nry(x155) q[6];\nry(x156) q[7];\nry(x98) q[8];\nry(x157) q[9];\nry(x158) q[10];\nry(x159) q[11];\ncrx(x160) q[11], q[10];\ncrx(x161) q[0], q[11];\ncrx(x162) q[0], q[1];\ncrx(x163) q[1], q[2];\ncrx(x164) q[2], q[3];\ncrx(x165) q[3], q[4];\ncrx(x166) q[4], q[5];\ncrx(x167) q[5], q[6];\ncrx(x168) q[6], q[7];\ncrx(x169) q[7], q[8];\ncrx(x170) q[8], q[9];\ncrx(x171) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["06224520ded029e940b1fde3f5ab3e3b","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 3}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 4, \"target\": 3}, {\"source\": 3, \"target\": 5}]}","{\"states\": [56, 7], \"expectation_value\": -3.09503190403376, \"params\": [[-0.0568, -0.0636], [0.0736, 0.06570000000000001]], \"bitstrings\": [\"000111\", \"111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.027233601763651926, 0.028044672982968075], \"optimization_time\": 3.2850699424743652}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.75 * Z(0) + -0.5 * Z(2) + -0.25 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5)",16,6,2,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.1988) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1988) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1988) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.2272) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.2272) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2272) q[4];\ncx q[2], q[4];\ncx q[1], q[3];\nrz(-0.2272) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2272) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2272) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.1988) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(-0.2272) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.1988) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2272) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.2272) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.1988) q[5];\ncx q[3], q[5];\nrz(0.0568) q[1];\nrz(0.0852) q[0];\nrz(0.0568) q[2];\nrz(0.0284) q[4];\nrz(0.0568) q[3];\nrz(0.0568) q[5];\nh q[0];\nrz(0.1472) q[0];\nh q[0];\nh q[1];\nrz(0.1472) q[1];\nh q[1];\nh q[2];\nrz(0.1472) q[2];\nh q[2];\nh q[3];\nrz(0.1472) q[3];\nh q[3];\nh q[4];\nrz(0.1472) q[4];\nh q[4];\nh q[5];\nrz(0.1472) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.2226) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2226) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2226) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(-0.2544) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.2544) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2544) q[4];\ncx q[2], q[4];\ncx q[1], q[3];\nrz(-0.2544) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2544) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2544) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.2226) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(-0.2544) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.2226) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2544) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.2544) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(-0.2226) q[5];\ncx q[3], q[5];\nrz(0.0636) q[1];\nrz(0.0954) q[0];\nrz(0.0636) q[2];\nrz(0.0318) q[4];\nrz(0.0636) q[3];\nrz(0.0636) q[5];\nh q[0];\nrz(0.1314) q[0];\nh q[0];\nh q[1];\nrz(0.1314) q[1];\nh q[1];\nh q[2];\nrz(0.1314) q[2];\nh q[2];\nh q[3];\nrz(0.1314) q[3];\nh q[3];\nh q[4];\nrz(0.1314) q[4];\nh q[4];\nh q[5];\nrz(0.1314) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x4) q[4];\nrz(x2) q[3];\nrz(x2) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x7) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x7) q[4];\ncx q[2], q[4];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x7) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x6) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(x7) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x7) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x7) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\nrz(x8) q[1];\nrz(x9) q[0];\nrz(x8) q[2];\nrz(x10) q[4];\nrz(x8) q[3];\nrz(x8) q[5];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["a7fe9655fedac9f37abdc7d4a012da3d","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 4}, {\"weight\": 15, \"source\": 0, \"target\": 6}, {\"weight\": 11, \"source\": 0, \"target\": 8}, {\"weight\": 8, \"source\": 1, \"target\": 5}, {\"weight\": 19, \"source\": 1, \"target\": 8}, {\"weight\": 20, \"source\": 1, \"target\": 4}, {\"weight\": 1, \"source\": 2, \"target\": 6}, {\"weight\": 17, \"source\": 2, \"target\": 8}, {\"weight\": 3, \"source\": 3, \"target\": 7}]}","{\"states\": [426, 234], \"expectation_value\": -11.012211791163391, \"params\": [[-0.0244, -0.033], [0.0279, 0.0609]], \"bitstrings\": [\"001010101\", \"100010101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005048300662593405, 0.0050868544325872525], \"optimization_time\": 7.17612624168396}","5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 10.0 * Z(0) + 15.5 * Z(2) + 12.5 * Z(1) + 19.5 * Z(5) + 15.0 * Z(3) + 4.0 * Z(4) + 0.5 * Z(6) + 13.5 * Z(7) + -8.5 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-80.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -79.0, \"smallest_bitstrings\": [\"100010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[0], q[2];\nrz(-0.244) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(-0.244) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(-0.244) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(-0.244) q[5];\ncx q[2], q[5];\ncx q[0], q[3];\nrz(-0.244) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(-0.244) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(-0.244) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(-0.244) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(-0.244) q[6];\ncx q[1], q[6];\ncx q[2], q[7];\nrz(-0.244) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.244) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.244) q[7];\ncx q[6], q[7];\nrz(-0.488) q[0];\nrz(-0.7564) q[2];\nrz(-0.61) q[1];\nrz(-0.9516) q[5];\nrz(-0.732) q[3];\nrz(-0.1952) q[4];\nrz(-0.0244) q[6];\nrz(-0.6588) q[7];\nrz(0.4148) q[8];\nh q[0];\nrz(0.0558) q[0];\nh q[0];\nh q[1];\nrz(0.0558) q[1];\nh q[1];\nh q[2];\nrz(0.0558) q[2];\nh q[2];\nh q[3];\nrz(0.0558) q[3];\nh q[3];\nh q[4];\nrz(0.0558) q[4];\nh q[4];\nh q[5];\nrz(0.0558) q[5];\nh q[5];\nh q[6];\nrz(0.0558) q[6];\nh q[6];\nh q[7];\nrz(0.0558) q[7];\nh q[7];\nh q[8];\nrz(0.0558) q[8];\nh q[8];\ncx q[0], q[2];\nrz(-0.33) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(-0.33) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(-0.33) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(-0.33) q[5];\ncx q[2], q[5];\ncx q[0], q[3];\nrz(-0.33) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(-0.33) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(-0.33) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(-0.33) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(-0.33) q[6];\ncx q[1], q[6];\ncx q[2], q[7];\nrz(-0.33) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(-0.33) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.33) q[7];\ncx q[6], q[7];\nrz(-0.66) q[0];\nrz(-1.023) q[2];\nrz(-0.825) q[1];\nrz(-1.287) q[5];\nrz(-0.99) q[3];\nrz(-0.264) q[4];\nrz(-0.033) q[6];\nrz(-0.891) q[7];\nrz(0.561) q[8];\nh q[0];\nrz(0.1218) q[0];\nh q[0];\nh q[1];\nrz(0.1218) q[1];\nh q[1];\nh q[2];\nrz(0.1218) q[2];\nh q[2];\nh q[3];\nrz(0.1218) q[3];\nh q[3];\nh q[4];\nrz(0.1218) q[4];\nh q[4];\nh q[5];\nrz(0.1218) q[5];\nh q[5];\nh q[6];\nrz(0.1218) q[6];\nh q[6];\nh q[7];\nrz(0.1218) q[7];\nh q[7];\nh q[8];\nrz(0.1218) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[0];\nrz(x2) q[2];\nrz(x3) q[1];\nrz(x4) q[5];\nrz(x5) q[3];\nrz(x6) q[4];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x9) q[8];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\nh q[8];\nrz(x10) q[8];\nh q[8];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x11) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x11) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(x11) q[3];\ncx q[5], q[3];\ncx q[5], q[4];\nrz(x11) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[1], q[6];\nrz(x11) q[6];\ncx q[1], q[6];\ncx q[2], q[7];\nrz(x11) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x11) q[7];\ncx q[6], q[7];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[1];\nrz(x15) q[5];\nrz(x16) q[3];\nrz(x17) q[4];\nrz(x18) q[6];\nrz(x19) q[7];\nrz(x20) q[8];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\nh q[5];\nrz(x21) q[5];\nh q[5];\nh q[6];\nrz(x21) q[6];\nh q[6];\nh q[7];\nrz(x21) q[7];\nh q[7];\nh q[8];\nrz(x21) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8]}\"}","{\"circuits\": [], \"gradients\": []}"]
["1b85dbadf49d5e00f9e47be861e776c4","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [3577, 3545], \"expectation_value\": -3.3106663699908805, \"params\": [0.3715, 0.3593, 0.37770000000000004, 0.3748, 0.001, 0.0023, 0.3785, 0.3864, 0.3713, 0.37770000000000004, 0.364, 0.3582, 0.109, 0.10840000000000001, 0.374, 0.37120000000000003, 0.3766, 0.37820000000000004, 0.00030000000000000003, 0.0082, -0.0025, -0.0025, 0.3665, 0.368, 0.34290000000000004, 0.31170000000000003, 0.38180000000000003, 0.3834, -0.0016, -0.0008, 0.3798, 0.37820000000000004, 0.37470000000000003, 0.3789, 0.36200000000000004, 0.36920000000000003, 0.10550000000000001, 0.10300000000000001, 0.37270000000000003, 0.3665, 0.3819, 0.382, 0.0074, 0.0001, -0.006500000000000001, -0.007500000000000001, 0.36760000000000004, 0.3632, 0.2929, 0.2887, 0.3849, 0.3905, -0.002, -0.004200000000000001, 0.3851, 0.38, 0.37520000000000003, 0.37510000000000004, 0.3725, 0.3834, 0.10540000000000001, 0.1087, 0.36860000000000004, 0.37170000000000003, 0.38780000000000003, 0.38670000000000004, 0.0005, -0.0006000000000000001, -0.007500000000000001, -0.0079, 0.3622, 0.369, 0.28950000000000004, 0.2854, 0.38880000000000003, 0.3922, 0.0019, 0.0034000000000000002, 0.3775, 0.3718, 0.3831, 0.38270000000000004, 0.39390000000000003, 0.3861, 0.1028, 0.10590000000000001, 0.3668, 0.3669, 0.3922, 0.3911, 0.0056, 0.006500000000000001, -0.0114, -0.012100000000000001, 0.3699, 0.3715, 0.3252, -0.0881, 0.3226, 0.3089, -0.2049, 0.3214, 0.08460000000000001, -0.1738, 0.1938, 0.0713, 0.0703, 0.22690000000000002, -0.0927, 0.22160000000000002, -0.1257, -0.042300000000000004, 0.1792, -0.0717, -0.0005, 0.1777, 0.2765, 0.0041, -0.0863, 0.3005, 0.3785, -0.0487, 0.32170000000000004, 0.3075, -0.1139, 0.29400000000000004, 0.0543, -0.0721, 0.1562, 0.045700000000000005, 0.3467, 0.10210000000000001, -0.024800000000000003, 0.3663, -0.0511, -0.0151, 0.1753, -0.027100000000000003, 0.0094, 0.1768, 0.3004, 0.0057, -0.007, 0.2778, 0.1956, -0.029900000000000003, 0.24150000000000002, 0.3084, -0.038, 0.1869, 0.0346, -0.0179, 0.0641, 0.043000000000000003, 0.32480000000000003, 0.17750000000000002, -0.0102, 0.17220000000000002, -0.0172, -0.0068000000000000005, 0.1521, -0.015300000000000001, 0.0027, 0.1598, 0.2574, 0.0026000000000000003, 0.0162, 0.1965, 0.19840000000000002, -0.0064, 0.1749, 0.3155, -0.0021000000000000003, 0.1587, 0.045200000000000004, -0.0038, 0.29050000000000004, 0.0732, 0.1817, 0.3244, 0.024300000000000002, 0.16640000000000002, -0.0001, -0.0079, 0.1384, 0.023200000000000002, 0.0047, 0.1651, 0.13770000000000002, 0.0053, 0.025900000000000003, 0.0061], \"bitstrings\": [\"001000000110\", \"001000100110\"], \"total_optimization_steps\": 40, \"probabilities\": [0.11474062418890701, 0.571837217426383], \"optimization_time\": 42.59625291824341}","0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0625 * (Z(1) @ Z(3) @ Z(4)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (Z(0) @ Z(1) @ Z(2) @ Z(4)) + 0.0625 * (Z(0) @ Z(1) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(3) @ Z(2) @ Z(4) @ Z(1)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(7) @ Z(5)) + -0.125 * (Z(0) @ Z(7) @ Z(6)) + -0.125 * (Z(7) @ Z(5) @ Z(6)) + 0.125 * (Z(0) @ Z(7) @ Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(1) @ Z(9)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(5) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(1) @ Z(5) @ Z(8)) + -0.125 * (Z(1) @ Z(5) @ Z(9)) + -0.125 * (Z(1) @ Z(9) @ Z(8)) + -0.125 * (Z(8) @ Z(5) @ Z(9)) + 0.125 * (Z(1) @ Z(5) @ Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(10)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(11) @ Z(3)) + 0.125 * (Z(8) @ Z(6)) + 0.125 * (Z(11) @ Z(6)) + 0.125 * (Z(8) @ Z(11)) + -0.125 * (Z(8) @ Z(3) @ Z(6)) + -0.125 * (Z(11) @ Z(3) @ Z(6)) + -0.125 * (Z(8) @ Z(11) @ Z(3)) + -0.125 * (Z(8) @ Z(11) @ Z(6)) + 0.125 * (Z(8) @ Z(11) @ Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(10) @ Z(4)) + 0.125 * (Z(11) @ Z(4)) + 0.125 * (Z(7) @ Z(10)) + 0.125 * (Z(7) @ Z(11)) + 0.125 * (Z(11) @ Z(10)) + -0.125 * (Z(7) @ Z(10) @ Z(4)) + -0.125 * (Z(7) @ Z(11) @ Z(4)) + -0.125 * (Z(11) @ Z(10) @ Z(4)) + -0.125 * (Z(7) @ Z(11) @ Z(10)) + 0.125 * (Z(7) @ Z(11) @ Z(10) @ Z(4)) + 0.3125 * Z(0) + 0.3125 * Z(1) + -0.0625 * Z(2) + 0.3125 * Z(3) + 0.3125 * Z(4) + 0.25 * Z(5) + 0.25 * Z(6) + 0.25 * Z(7) + 0.25 * Z(8) + -0.625 * Z(9) + -0.125 * Z(10) + 0.25 * Z(11)",14,12,4,"{\"smallest_eigenvalues\": [-4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625], \"number_of_smallest_eigenvalues\": 18, \"first_excited_energy\": -3.0625, \"smallest_bitstrings\": [\"100000001110\", \"000100100110\", \"100000100110\", \"000101000110\", \"100000000111\", \"010000100110\", \"001000010101\", \"001000011100\", \"001000100101\", \"000100010110\", \"001000110100\", \"000010100110\", \"001001000101\", \"101000000101\", \"100100000110\", \"001000100110\", \"001010100100\", \"001100010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.3715) q[0];\nry(0.3777) q[1];\nry(0.001) q[2];\nry(0.3785) q[3];\nry(0.3713) q[4];\nry(0.364) q[5];\nry(0.109) q[6];\nry(0.374) q[7];\nry(0.3766) q[8];\nry(0.0003) q[9];\nry(-0.0025) q[10];\nry(0.3665) q[11];\ncrx(0.3252) q[11], q[0];\ncrx(-0.0863) q[10], q[11];\ncrx(0.2765) q[9], q[10];\ncrx(-0.0005) q[8], q[9];\ncrx(0.1792) q[7], q[8];\ncrx(-0.1257) q[6], q[7];\ncrx(-0.0927) q[5], q[6];\ncrx(0.0703) q[4], q[5];\ncrx(0.1938) q[3], q[4];\ncrx(0.0846) q[2], q[3];\ncrx(-0.2049) q[1], q[2];\ncrx(0.3226) q[0], q[1];\nry(0.3593) q[0];\nry(0.3748) q[1];\nry(0.0023) q[2];\nry(0.3864) q[3];\nry(0.3777) q[4];\nry(0.3582) q[5];\nry(0.1084) q[6];\nry(0.3712) q[7];\nry(0.3782) q[8];\nry(0.0082) q[9];\nry(-0.0025) q[10];\nry(0.368) q[11];\ncrx(-0.0881) q[11], q[10];\ncrx(0.3089) q[0], q[11];\ncrx(0.3214) q[0], q[1];\ncrx(-0.1738) q[1], q[2];\ncrx(0.0713) q[2], q[3];\ncrx(0.2269) q[3], q[4];\ncrx(0.2216) q[4], q[5];\ncrx(-0.0423) q[5], q[6];\ncrx(-0.0717) q[6], q[7];\ncrx(0.1777) q[7], q[8];\ncrx(0.0041) q[8], q[9];\ncrx(0.3005) q[9], q[10];\nry(0.3429) q[0];\nry(0.3818) q[1];\nry(-0.0016) q[2];\nry(0.3798) q[3];\nry(0.3747) q[4];\nry(0.362) q[5];\nry(0.1055) q[6];\nry(0.3727) q[7];\nry(0.3819) q[8];\nry(0.0074) q[9];\nry(-0.0065) q[10];\nry(0.3676) q[11];\ncrx(0.3785) q[11], q[0];\ncrx(-0.007) q[10], q[11];\ncrx(0.3004) q[9], q[10];\ncrx(0.0094) q[8], q[9];\ncrx(0.1753) q[7], q[8];\ncrx(-0.0511) q[6], q[7];\ncrx(-0.0248) q[5], q[6];\ncrx(0.3467) q[4], q[5];\ncrx(0.1562) q[3], q[4];\ncrx(0.0543) q[2], q[3];\ncrx(-0.1139) q[1], q[2];\ncrx(0.3217) q[0], q[1];\nry(0.3117) q[0];\nry(0.3834) q[1];\nry(-0.0008) q[2];\nry(0.3782) q[3];\nry(0.3789) q[4];\nry(0.3692) q[5];\nry(0.103) q[6];\nry(0.3665) q[7];\nry(0.382) q[8];\nry(0.0001) q[9];\nry(-0.0075) q[10];\nry(0.3632) q[11];\ncrx(-0.0487) q[11], q[10];\ncrx(0.3075) q[0], q[11];\ncrx(0.294) q[0], q[1];\ncrx(-0.0721) q[1], q[2];\ncrx(0.0457) q[2], q[3];\ncrx(0.1021) q[3], q[4];\ncrx(0.3663) q[4], q[5];\ncrx(-0.0151) q[5], q[6];\ncrx(-0.0271) q[6], q[7];\ncrx(0.1768) q[7], q[8];\ncrx(0.0057) q[8], q[9];\ncrx(0.2778) q[9], q[10];\nry(0.2929) q[0];\nry(0.3849) q[1];\nry(-0.002) q[2];\nry(0.3851) q[3];\nry(0.3752) q[4];\nry(0.3725) q[5];\nry(0.1054) q[6];\nry(0.3686) q[7];\nry(0.3878) q[8];\nry(0.0005) q[9];\nry(-0.0075) q[10];\nry(0.3622) q[11];\ncrx(0.1956) q[11], q[0];\ncrx(0.0162) q[10], q[11];\ncrx(0.2574) q[9], q[10];\ncrx(0.0027) q[8], q[9];\ncrx(0.1521) q[7], q[8];\ncrx(-0.0172) q[6], q[7];\ncrx(-0.0102) q[5], q[6];\ncrx(0.3248) q[4], q[5];\ncrx(0.0641) q[3], q[4];\ncrx(0.0346) q[2], q[3];\ncrx(-0.038) q[1], q[2];\ncrx(0.2415) q[0], q[1];\nry(0.2887) q[0];\nry(0.3905) q[1];\nry(-0.0042) q[2];\nry(0.38) q[3];\nry(0.3751) q[4];\nry(0.3834) q[5];\nry(0.1087) q[6];\nry(0.3717) q[7];\nry(0.3867) q[8];\nry(-0.0006) q[9];\nry(-0.0079) q[10];\nry(0.369) q[11];\ncrx(-0.0299) q[11], q[10];\ncrx(0.3084) q[0], q[11];\ncrx(0.1869) q[0], q[1];\ncrx(-0.0179) q[1], q[2];\ncrx(0.043) q[2], q[3];\ncrx(0.1775) q[3], q[4];\ncrx(0.1722) q[4], q[5];\ncrx(-0.0068) q[5], q[6];\ncrx(-0.0153) q[6], q[7];\ncrx(0.1598) q[7], q[8];\ncrx(0.0026) q[8], q[9];\ncrx(0.1965) q[9], q[10];\nry(0.2895) q[0];\nry(0.3888) q[1];\nry(0.0019) q[2];\nry(0.3775) q[3];\nry(0.3831) q[4];\nry(0.3939) q[5];\nry(0.1028) q[6];\nry(0.3668) q[7];\nry(0.3922) q[8];\nry(0.0056) q[9];\nry(-0.0114) q[10];\nry(0.3699) q[11];\ncrx(0.1984) q[11], q[0];\ncrx(0.0259) q[10], q[11];\ncrx(0.1377) q[9], q[10];\ncrx(0.0047) q[8], q[9];\ncrx(0.1384) q[7], q[8];\ncrx(-0.0001) q[6], q[7];\ncrx(0.0243) q[5], q[6];\ncrx(0.1817) q[4], q[5];\ncrx(0.2905) q[3], q[4];\ncrx(0.0452) q[2], q[3];\ncrx(-0.0021) q[1], q[2];\ncrx(0.1749) q[0], q[1];\nry(0.2854) q[0];\nry(0.3922) q[1];\nry(0.0034) q[2];\nry(0.3718) q[3];\nry(0.3827) q[4];\nry(0.3861) q[5];\nry(0.1059) q[6];\nry(0.3669) q[7];\nry(0.3911) q[8];\nry(0.0065) q[9];\nry(-0.0121) q[10];\nry(0.3715) q[11];\ncrx(-0.0064) q[11], q[10];\ncrx(0.3155) q[0], q[11];\ncrx(0.1587) q[0], q[1];\ncrx(-0.0038) q[1], q[2];\ncrx(0.0732) q[2], q[3];\ncrx(0.3244) q[3], q[4];\ncrx(0.1664) q[4], q[5];\ncrx(-0.0079) q[5], q[6];\ncrx(0.0232) q[6], q[7];\ncrx(0.1651) q[7], q[8];\ncrx(0.0053) q[8], q[9];\ncrx(0.0061) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x179;\ninput float[64] x18;\ninput float[64] x180;\ninput float[64] x181;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncrx(x12) q[11], q[0];\ncrx(x13) q[10], q[11];\ncrx(x14) q[9], q[10];\ncrx(x15) q[8], q[9];\ncrx(x16) q[7], q[8];\ncrx(x17) q[6], q[7];\ncrx(x18) q[5], q[6];\ncrx(x19) q[4], q[5];\ncrx(x20) q[3], q[4];\ncrx(x21) q[2], q[3];\ncrx(x22) q[1], q[2];\ncrx(x23) q[0], q[1];\nry(x24) q[0];\nry(x25) q[1];\nry(x26) q[2];\nry(x27) q[3];\nry(x1) q[4];\nry(x28) q[5];\nry(x29) q[6];\nry(x30) q[7];\nry(x31) q[8];\nry(x32) q[9];\nry(x10) q[10];\nry(x33) q[11];\ncrx(x34) q[11], q[10];\ncrx(x35) q[0], q[11];\ncrx(x36) q[0], q[1];\ncrx(x37) q[1], q[2];\ncrx(x38) q[2], q[3];\ncrx(x39) q[3], q[4];\ncrx(x40) q[4], q[5];\ncrx(x41) q[5], q[6];\ncrx(x42) q[6], q[7];\ncrx(x43) q[7], q[8];\ncrx(x44) q[8], q[9];\ncrx(x45) q[9], q[10];\nry(x46) q[0];\nry(x47) q[1];\nry(x48) q[2];\nry(x49) q[3];\nry(x50) q[4];\nry(x51) q[5];\nry(x52) q[6];\nry(x53) q[7];\nry(x54) q[8];\nry(x55) q[9];\nry(x56) q[10];\nry(x57) q[11];\ncrx(x3) q[11], q[0];\ncrx(x58) q[10], q[11];\ncrx(x59) q[9], q[10];\ncrx(x60) q[8], q[9];\ncrx(x61) q[7], q[8];\ncrx(x62) q[6], q[7];\ncrx(x63) q[5], q[6];\ncrx(x64) q[4], q[5];\ncrx(x65) q[3], q[4];\ncrx(x66) q[2], q[3];\ncrx(x67) q[1], q[2];\ncrx(x68) q[0], q[1];\nry(x69) q[0];\nry(x70) q[1];\nry(x71) q[2];\nry(x31) q[3];\nry(x72) q[4];\nry(x73) q[5];\nry(x74) q[6];\nry(x11) q[7];\nry(x75) q[8];\nry(x76) q[9];\nry(x77) q[10];\nry(x78) q[11];\ncrx(x79) q[11], q[10];\ncrx(x80) q[0], q[11];\ncrx(x81) q[0], q[1];\ncrx(x82) q[1], q[2];\ncrx(x83) q[2], q[3];\ncrx(x84) q[3], q[4];\ncrx(x85) q[4], q[5];\ncrx(x86) q[5], q[6];\ncrx(x87) q[6], q[7];\ncrx(x88) q[7], q[8];\ncrx(x89) q[8], q[9];\ncrx(x90) q[9], q[10];\nry(x91) q[0];\nry(x92) q[1];\nry(x93) q[2];\nry(x94) q[3];\nry(x95) q[4];\nry(x96) q[5];\nry(x97) q[6];\nry(x98) q[7];\nry(x99) q[8];\nry(x100) q[9];\nry(x77) q[10];\nry(x101) q[11];\ncrx(x102) q[11], q[0];\ncrx(x103) q[10], q[11];\ncrx(x104) q[9], q[10];\ncrx(x105) q[8], q[9];\ncrx(x106) q[7], q[8];\ncrx(x107) q[6], q[7];\ncrx(x108) q[5], q[6];\ncrx(x109) q[4], q[5];\ncrx(x110) q[3], q[4];\ncrx(x111) q[2], q[3];\ncrx(x112) q[1], q[2];\ncrx(x113) q[0], q[1];\nry(x114) q[0];\nry(x115) q[1];\nry(x116) q[2];\nry(x117) q[3];\nry(x118) q[4];\nry(x70) q[5];\nry(x119) q[6];\nry(x120) q[7];\nry(x121) q[8];\nry(x122) q[9];\nry(x123) q[10];\nry(x124) q[11];\ncrx(x125) q[11], q[10];\ncrx(x126) q[0], q[11];\ncrx(x127) q[0], q[1];\ncrx(x128) q[1], q[2];\ncrx(x129) q[2], q[3];\ncrx(x130) q[3], q[4];\ncrx(x131) q[4], q[5];\ncrx(x132) q[5], q[6];\ncrx(x133) q[6], q[7];\ncrx(x134) q[7], q[8];\ncrx(x135) q[8], q[9];\ncrx(x136) q[9], q[10];\nry(x137) q[0];\nry(x138) q[1];\nry(x139) q[2];\nry(x140) q[3];\nry(x141) q[4];\nry(x142) q[5];\nry(x143) q[6];\nry(x144) q[7];\nry(x145) q[8];\nry(x146) q[9];\nry(x147) q[10];\nry(x148) q[11];\ncrx(x149) q[11], q[0];\ncrx(x150) q[10], q[11];\ncrx(x151) q[9], q[10];\ncrx(x152) q[8], q[9];\ncrx(x153) q[7], q[8];\ncrx(x154) q[6], q[7];\ncrx(x155) q[5], q[6];\ncrx(x156) q[4], q[5];\ncrx(x157) q[3], q[4];\ncrx(x158) q[2], q[3];\ncrx(x159) q[1], q[2];\ncrx(x160) q[0], q[1];\nry(x161) q[0];\nry(x145) q[1];\nry(x162) q[2];\nry(x163) q[3];\nry(x164) q[4];\nry(x165) q[5];\nry(x166) q[6];\nry(x167) q[7];\nry(x168) q[8];\nry(x169) q[9];\nry(x170) q[10];\nry(x0) q[11];\ncrx(x171) q[11], q[10];\ncrx(x172) q[0], q[11];\ncrx(x173) q[0], q[1];\ncrx(x174) q[1], q[2];\ncrx(x175) q[2], q[3];\ncrx(x176) q[3], q[4];\ncrx(x177) q[4], q[5];\ncrx(x123) q[5], q[6];\ncrx(x178) q[6], q[7];\ncrx(x179) q[7], q[8];\ncrx(x180) q[8], q[9];\ncrx(x181) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["410072450c9e6dc16f647e463ce9b924","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 6}, {\"weight\": 4, \"source\": 1, \"target\": 7}, {\"weight\": 19, \"source\": 1, \"target\": 9}, {\"weight\": 3, \"source\": 2, \"target\": 8}, {\"weight\": 10, \"source\": 3, \"target\": 9}, {\"weight\": 11, \"source\": 3, \"target\": 10}, {\"weight\": 15, \"source\": 3, \"target\": 6}, {\"weight\": 15, \"source\": 3, \"target\": 8}, {\"weight\": 2, \"source\": 4, \"target\": 10}, {\"weight\": 18, \"source\": 4, \"target\": 7}]}","{\"states\": [189, 185], \"expectation_value\": -99.08266687524838, \"params\": [-0.0023, -0.611, 0.08990000000000001, 0.6174000000000001, 1.0689, 0.0, 0.0026000000000000003, 0.6885, 1.0657, 0.0011, 1.0682, 0.0061, 1.0672000000000001, -0.13190000000000002, 0.4869, -0.2306, 0.0611, 0.6269, 1.0692000000000002, -0.0269, -0.0037, -0.6004, 0.0901, 0.6255000000000001, 1.0669, 0.0094, 0.0016, 0.6858000000000001, 1.0657, 0.001, 1.07, 0.0061, 1.0675000000000001, -0.1221, 0.49010000000000004, -0.2112, 0.06520000000000001, 0.6191, 1.0695000000000001, -0.08370000000000001, -0.0035, 0.0058000000000000005, 0.09230000000000001, 0.0055000000000000005, 1.0637, 0.0059, 0.0027, 0.0068000000000000005, 1.069, 0.009300000000000001, 1.0635000000000001, 0.0098, 1.052, 0.0097, 0.4898, 0.0047, 0.0644, 0.0027, 1.0636, 0.0045000000000000005, -0.0665, 0.6057, 0.1841, 0.0119, -0.643, -0.0004, 0.025, -0.266, 0.4606, -0.1574, -0.1719, 0.5728, 0.6339, 0.0111, 0.1187, 0.0024000000000000002, -0.024300000000000002, -0.2997, 0.5479, 0.6175, 0.0001, 0.0016, 0.0038, 0.0051, 0.0061, 0.0014, 0.007, 0.0089, 0.0022, 0.0054], \"bitstrings\": [\"1101000010\", \"1101000110\"], \"total_optimization_steps\": 110, \"probabilities\": [0.3260931789864039, 0.6445276633460882], \"optimization_time\": 43.295655965805054}","6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(6)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(4) @ Z(7)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(0) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(8)) + 9.5 * Z(2) + 2.0 * Z(1) + 19.5 * Z(6) + -4.5 * Z(3) + 17.0 * Z(7) + 17.5 * Z(4) + 19.5 * Z(5) + -3.0 * Z(0) + 1.0 * Z(8) + 9.0 * Z(9)",18,10,3,"{\"smallest_eigenvalues\": [-104.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -90.5, \"smallest_bitstrings\": [\"1101000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.0023) q[0];\nrz(-0.611) q[0];\nrx(0.0899) q[1];\nrz(0.6174) q[1];\nrx(1.0689) q[2];\nrz(0) q[2];\nrx(0.0026) q[3];\nrz(0.6885) q[3];\nrx(1.0657) q[4];\nrz(0.0011) q[4];\nrx(1.0682) q[5];\nrz(0.0061) q[5];\nrx(1.0672) q[6];\nrz(-0.1319) q[6];\nrx(0.4869) q[7];\nrz(-0.2306) q[7];\nrx(0.0611) q[8];\nrz(0.6269) q[8];\nrx(1.0692) q[9];\nrz(-0.0269) q[9];\ncrz(-0.0665) q[9], q[0];\ncrz(-0.1574) q[8], q[9];\ncrz(0.4606) q[7], q[8];\ncrz(-0.266) q[6], q[7];\ncrz(0.025) q[5], q[6];\ncrz(-0.0004) q[4], q[5];\ncrz(-0.643) q[3], q[4];\ncrz(0.0119) q[2], q[3];\ncrz(0.1841) q[1], q[2];\ncrz(0.6057) q[0], q[1];\nrx(-0.0037) q[0];\nrz(-0.6004) q[0];\nrx(0.0901) q[1];\nrz(0.6255) q[1];\nrx(1.0669) q[2];\nrz(0.0094) q[2];\nrx(0.0016) q[3];\nrz(0.6858) q[3];\nrx(1.0657) q[4];\nrz(0.001) q[4];\nrx(1.07) q[5];\nrz(0.0061) q[5];\nrx(1.0675) q[6];\nrz(-0.1221) q[6];\nrx(0.4901) q[7];\nrz(-0.2112) q[7];\nrx(0.0652) q[8];\nrz(0.6191) q[8];\nrx(1.0695) q[9];\nrz(-0.0837) q[9];\ncrz(-0.1719) q[9], q[0];\ncrz(0.6175) q[8], q[9];\ncrz(0.5479) q[7], q[8];\ncrz(-0.2997) q[6], q[7];\ncrz(-0.0243) q[5], q[6];\ncrz(0.0024) q[4], q[5];\ncrz(0.1187) q[3], q[4];\ncrz(0.0111) q[2], q[3];\ncrz(0.6339) q[1], q[2];\ncrz(0.5728) q[0], q[1];\nrx(-0.0035) q[0];\nrz(0.0058) q[0];\nrx(0.0923) q[1];\nrz(0.0055) q[1];\nrx(1.0637) q[2];\nrz(0.0059) q[2];\nrx(0.0027) q[3];\nrz(0.0068) q[3];\nrx(1.069) q[4];\nrz(0.0093) q[4];\nrx(1.0635) q[5];\nrz(0.0098) q[5];\nrx(1.052) q[6];\nrz(0.0097) q[6];\nrx(0.4898) q[7];\nrz(0.0047) q[7];\nrx(0.0644) q[8];\nrz(0.0027) q[8];\nrx(1.0636) q[9];\nrz(0.0045) q[9];\ncrz(0.0001) q[9], q[0];\ncrz(0.0054) q[8], q[9];\ncrz(0.0022) q[7], q[8];\ncrz(0.0089) q[6], q[7];\ncrz(0.007) q[5], q[6];\ncrz(0.0014) q[4], q[5];\ncrz(0.0061) q[3], q[4];\ncrz(0.0051) q[2], q[3];\ncrz(0.0038) q[1], q[2];\ncrz(0.0016) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrz(x20) q[9], q[0];\ncrz(x21) q[8], q[9];\ncrz(x22) q[7], q[8];\ncrz(x23) q[6], q[7];\ncrz(x24) q[5], q[6];\ncrz(x25) q[4], q[5];\ncrz(x26) q[3], q[4];\ncrz(x27) q[2], q[3];\ncrz(x28) q[1], q[2];\ncrz(x29) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x8) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x11) q[5];\nrx(x40) q[6];\nrz(x41) q[6];\nrx(x42) q[7];\nrz(x43) q[7];\nrx(x44) q[8];\nrz(x45) q[8];\nrx(x46) q[9];\nrz(x47) q[9];\ncrz(x48) q[9], q[0];\ncrz(x49) q[8], q[9];\ncrz(x50) q[7], q[8];\ncrz(x51) q[6], q[7];\ncrz(x52) q[5], q[6];\ncrz(x53) q[4], q[5];\ncrz(x54) q[3], q[4];\ncrz(x55) q[2], q[3];\ncrz(x56) q[1], q[2];\ncrz(x57) q[0], q[1];\nrx(x58) q[0];\nrz(x59) q[0];\nrx(x60) q[1];\nrz(x61) q[1];\nrx(x62) q[2];\nrz(x63) q[2];\nrx(x64) q[3];\nrz(x65) q[3];\nrx(x66) q[4];\nrz(x67) q[4];\nrx(x68) q[5];\nrz(x69) q[5];\nrx(x70) q[6];\nrz(x71) q[6];\nrx(x72) q[7];\nrz(x73) q[7];\nrx(x74) q[8];\nrz(x64) q[8];\nrx(x75) q[9];\nrz(x76) q[9];\ncrz(x77) q[9], q[0];\ncrz(x78) q[8], q[9];\ncrz(x79) q[7], q[8];\ncrz(x80) q[6], q[7];\ncrz(x81) q[5], q[6];\ncrz(x82) q[4], q[5];\ncrz(x11) q[3], q[4];\ncrz(x83) q[2], q[3];\ncrz(x84) q[1], q[2];\ncrz(x36) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10]}\"}","{\"circuits\": [], \"gradients\": []}"]
["03fc078c7a20f2a5bd889c5ded444a79","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [1677, 1709], \"expectation_value\": -2.5630416763510175, \"params\": [0.389, 0.3904, 0.3536, 0.3629, 0.0891, 0.08220000000000001, 0.49970000000000003, 0.4988, 0.07640000000000001, 0.0845, 0.3507, 0.3568, -0.0031000000000000003, 0.0035, 0.4953, 0.49210000000000004, 0.4803, 0.4892, 0.1645, 0.1857, 0.48510000000000003, 0.48810000000000003, 0.3875, 0.39430000000000004, 0.3558, 0.35350000000000004, 0.0742, 0.0795, 0.49770000000000003, 0.49970000000000003, 0.08560000000000001, 0.07740000000000001, 0.3526, 0.3466, 0.011300000000000001, 0.009600000000000001, 0.49460000000000004, 0.4959, 0.49000000000000005, 0.4975, 0.1665, 0.16920000000000002, 0.48600000000000004, 0.48950000000000005, 0.3896, 0.387, 0.373, 0.40440000000000004, 0.0736, 0.075, 0.49710000000000004, 0.49560000000000004, 0.0854, 0.0779, 0.34750000000000003, 0.3421, 0.004200000000000001, -0.0078000000000000005, 0.49500000000000005, 0.5002, 0.49110000000000004, 0.49470000000000003, 0.0945, 0.0947, 0.48600000000000004, 0.496, 0.4753, 0.020300000000000002, -0.09240000000000001, 0.27290000000000003, -0.060500000000000005, -0.053000000000000005, 0.4833, 0.0412, -0.11850000000000001, 0.49210000000000004, -0.13140000000000002, -0.09730000000000001, -0.079, -0.0942, 0.33690000000000003, -0.022000000000000002, 0.13490000000000002, 0.34890000000000004, -0.1218, 0.20550000000000002, -0.0443, -0.10200000000000001, 0.393, 0.0621, 0.0641, 0.405, -0.095, 0.1236, 0.48350000000000004, -0.031100000000000003, -0.029900000000000003, 0.4797, -0.038700000000000005, 0.0053, 0.010100000000000001, 0.0071, -0.2209, -0.0007, 0.2051, -0.0669, 0.0373, 0.057100000000000005, 0.037200000000000004, 0.116, 0.3678, 0.08270000000000001, 0.081, 0.435, -0.1081, 0.17600000000000002, 0.35500000000000004, -0.0616, 0.0337, 0.2582, 0.0419, 0.026000000000000002, 0.0109, 0.1046, -0.2718, 0.0015, 0.2059, -0.375, 0.1408, 0.2233, 0.0826, 0.0149], \"bitstrings\": [\"00101110010\", \"00101010010\"], \"total_optimization_steps\": 50, \"probabilities\": [0.11610895775350955, 0.35000344396246397], \"optimization_time\": 30.00107431411743}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(9) @ Z(1)) + 0.0625 * (Z(10) @ Z(1)) + 0.0625 * (Z(7) @ Z(3)) + 0.0625 * (Z(9) @ Z(3)) + 0.0625 * (Z(10) @ Z(3)) + 0.0625 * (Z(9) @ Z(7)) + 0.0625 * (Z(7) @ Z(10)) + 0.0625 * (Z(9) @ Z(10)) + -0.0625 * (Z(7) @ Z(1) @ Z(3)) + -0.0625 * (Z(9) @ Z(1) @ Z(3)) + -0.0625 * (Z(10) @ Z(1) @ Z(3)) + -0.0625 * (Z(9) @ Z(1) @ Z(7)) + -0.0625 * (Z(7) @ Z(10) @ Z(1)) + -0.0625 * (Z(9) @ Z(10) @ Z(1)) + -0.0625 * (Z(9) @ Z(7) @ Z(3)) + -0.0625 * (Z(7) @ Z(10) @ Z(3)) + -0.0625 * (Z(9) @ Z(10) @ Z(3)) + -0.0625 * (Z(9) @ Z(10) @ Z(7)) + 0.0625 * (Z(9) @ Z(1) @ Z(7) @ Z(3)) + 0.0625 * (Z(7) @ Z(10) @ Z(1) @ Z(3)) + 0.0625 * (Z(9) @ Z(10) @ Z(1) @ Z(3)) + 0.0625 * (Z(9) @ Z(10) @ Z(1) @ Z(7)) + 0.0625 * (Z(9) @ Z(10) @ Z(7) @ Z(3)) + -0.0625 * (Z(7) @ Z(1) @ Z(10) @ Z(3) @ Z(9)) + 0.25 * (Z(8) @ Z(4)) + 0.25 * (Z(9) @ Z(4)) + 0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(8) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(10) @ Z(2)) + 0.25 * (Z(5) @ Z(10)) + -0.25 * (Z(5) @ Z(10) @ Z(2)) + 0.125 * Z(0) + 0.1875 * Z(1) + 0.0 * Z(2) + 0.3125 * Z(3) + 0.125 * Z(4) + 0.125 * Z(5) + -0.5 * Z(6) + -0.0625 * Z(7) + -0.25 * Z(8) + 0.1875 * Z(9) + 0.1875 * Z(10)",14,11,3,"{\"smallest_eigenvalues\": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], \"number_of_smallest_eigenvalues\": 24, \"first_excited_energy\": -2.4375, \"smallest_bitstrings\": [\"00100110010\", \"00100101100\", \"10100010010\", \"01000101100\", \"01001110000\", \"01000110100\", \"01000110010\", \"01001010001\", \"00101011000\", \"00111010000\", \"01101010000\", \"10000010101\", \"10000010011\", \"10000001101\", \"00110010100\", \"00110010010\", \"00110001100\", \"10000101100\", \"10000110010\", \"00101001100\", \"10001010001\", \"00101010010\", \"00101010001\", \"10100001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.389) q[0];\nry(0.3536) q[1];\nry(0.0891) q[2];\nry(0.4997) q[3];\nry(0.0764) q[4];\nry(0.3507) q[5];\nry(-0.0031) q[6];\nry(0.4953) q[7];\nry(0.4803) q[8];\nry(0.1645) q[9];\nry(0.4851) q[10];\ncrx(0.4753) q[10], q[0];\ncrx(-0.0443) q[9], q[10];\ncrx(-0.1218) q[8], q[9];\ncrx(0.1349) q[7], q[8];\ncrx(0.3369) q[6], q[7];\ncrx(-0.079) q[5], q[6];\ncrx(-0.1314) q[4], q[5];\ncrx(-0.1185) q[3], q[4];\ncrx(0.4833) q[2], q[3];\ncrx(-0.0605) q[1], q[2];\ncrx(-0.0924) q[0], q[1];\nry(0.3904) q[0];\nry(0.3629) q[1];\nry(0.0822) q[2];\nry(0.4988) q[3];\nry(0.0845) q[4];\nry(0.3568) q[5];\nry(0.0035) q[6];\nry(0.4921) q[7];\nry(0.4892) q[8];\nry(0.1857) q[9];\nry(0.4881) q[10];\ncrx(0.0203) q[10], q[9];\ncrx(0.2729) q[0], q[10];\ncrx(-0.053) q[0], q[1];\ncrx(0.0412) q[1], q[2];\ncrx(0.4921) q[2], q[3];\ncrx(-0.0973) q[3], q[4];\ncrx(-0.0942) q[4], q[5];\ncrx(-0.022) q[5], q[6];\ncrx(0.3489) q[6], q[7];\ncrx(0.2055) q[7], q[8];\ncrx(-0.102) q[8], q[9];\nry(0.3875) q[0];\nry(0.3558) q[1];\nry(0.0742) q[2];\nry(0.4977) q[3];\nry(0.0856) q[4];\nry(0.3526) q[5];\nry(0.0113) q[6];\nry(0.4946) q[7];\nry(0.49) q[8];\nry(0.1665) q[9];\nry(0.486) q[10];\ncrx(0.393) q[10], q[0];\ncrx(0.0372) q[9], q[10];\ncrx(0.0373) q[8], q[9];\ncrx(0.2051) q[7], q[8];\ncrx(-0.2209) q[6], q[7];\ncrx(0.0101) q[5], q[6];\ncrx(-0.0387) q[4], q[5];\ncrx(-0.0299) q[3], q[4];\ncrx(0.4835) q[2], q[3];\ncrx(-0.095) q[1], q[2];\ncrx(0.0641) q[0], q[1];\nry(0.3943) q[0];\nry(0.3535) q[1];\nry(0.0795) q[2];\nry(0.4997) q[3];\nry(0.0774) q[4];\nry(0.3466) q[5];\nry(0.0096) q[6];\nry(0.4959) q[7];\nry(0.4975) q[8];\nry(0.1692) q[9];\nry(0.4895) q[10];\ncrx(0.0621) q[10], q[9];\ncrx(0.405) q[0], q[10];\ncrx(0.1236) q[0], q[1];\ncrx(-0.0311) q[1], q[2];\ncrx(0.4797) q[2], q[3];\ncrx(0.0053) q[3], q[4];\ncrx(0.0071) q[4], q[5];\ncrx(-0.0007) q[5], q[6];\ncrx(-0.0669) q[6], q[7];\ncrx(0.0571) q[7], q[8];\ncrx(0.116) q[8], q[9];\nry(0.3896) q[0];\nry(0.373) q[1];\nry(0.0736) q[2];\nry(0.4971) q[3];\nry(0.0854) q[4];\nry(0.3475) q[5];\nry(0.0042) q[6];\nry(0.495) q[7];\nry(0.4911) q[8];\nry(0.0945) q[9];\nry(0.486) q[10];\ncrx(0.3678) q[10], q[0];\ncrx(0.0826) q[9], q[10];\ncrx(0.1408) q[8], q[9];\ncrx(0.2059) q[7], q[8];\ncrx(-0.2718) q[6], q[7];\ncrx(0.0109) q[5], q[6];\ncrx(0.0419) q[4], q[5];\ncrx(0.0337) q[3], q[4];\ncrx(0.355) q[2], q[3];\ncrx(-0.1081) q[1], q[2];\ncrx(0.081) q[0], q[1];\nry(0.387) q[0];\nry(0.4044) q[1];\nry(0.075) q[2];\nry(0.4956) q[3];\nry(0.0779) q[4];\nry(0.3421) q[5];\nry(-0.0078) q[6];\nry(0.5002) q[7];\nry(0.4947) q[8];\nry(0.0947) q[9];\nry(0.496) q[10];\ncrx(0.0827) q[10], q[9];\ncrx(0.435) q[0], q[10];\ncrx(0.176) q[0], q[1];\ncrx(-0.0616) q[1], q[2];\ncrx(0.2582) q[2], q[3];\ncrx(0.026) q[3], q[4];\ncrx(0.1046) q[4], q[5];\ncrx(0.0015) q[5], q[6];\ncrx(-0.375) q[6], q[7];\ncrx(0.2233) q[7], q[8];\ncrx(0.0149) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncrx(x11) q[10], q[0];\ncrx(x12) q[9], q[10];\ncrx(x13) q[8], q[9];\ncrx(x14) q[7], q[8];\ncrx(x15) q[6], q[7];\ncrx(x16) q[5], q[6];\ncrx(x17) q[4], q[5];\ncrx(x18) q[3], q[4];\ncrx(x19) q[2], q[3];\ncrx(x20) q[1], q[2];\ncrx(x21) q[0], q[1];\nry(x22) q[0];\nry(x23) q[1];\nry(x24) q[2];\nry(x25) q[3];\nry(x26) q[4];\nry(x27) q[5];\nry(x28) q[6];\nry(x29) q[7];\nry(x30) q[8];\nry(x31) q[9];\nry(x32) q[10];\ncrx(x33) q[10], q[9];\ncrx(x34) q[0], q[10];\ncrx(x35) q[0], q[1];\ncrx(x36) q[1], q[2];\ncrx(x29) q[2], q[3];\ncrx(x37) q[3], q[4];\ncrx(x38) q[4], q[5];\ncrx(x39) q[5], q[6];\ncrx(x40) q[6], q[7];\ncrx(x41) q[7], q[8];\ncrx(x42) q[8], q[9];\nry(x43) q[0];\nry(x44) q[1];\nry(x45) q[2];\nry(x46) q[3];\nry(x47) q[4];\nry(x48) q[5];\nry(x49) q[6];\nry(x50) q[7];\nry(x51) q[8];\nry(x52) q[9];\nry(x53) q[10];\ncrx(x54) q[10], q[0];\ncrx(x55) q[9], q[10];\ncrx(x56) q[8], q[9];\ncrx(x57) q[7], q[8];\ncrx(x58) q[6], q[7];\ncrx(x59) q[5], q[6];\ncrx(x60) q[4], q[5];\ncrx(x61) q[3], q[4];\ncrx(x62) q[2], q[3];\ncrx(x63) q[1], q[2];\ncrx(x64) q[0], q[1];\nry(x65) q[0];\nry(x66) q[1];\nry(x67) q[2];\nry(x3) q[3];\nry(x68) q[4];\nry(x69) q[5];\nry(x70) q[6];\nry(x71) q[7];\nry(x72) q[8];\nry(x73) q[9];\nry(x74) q[10];\ncrx(x75) q[10], q[9];\ncrx(x76) q[0], q[10];\ncrx(x77) q[0], q[1];\ncrx(x78) q[1], q[2];\ncrx(x79) q[2], q[3];\ncrx(x80) q[3], q[4];\ncrx(x81) q[4], q[5];\ncrx(x82) q[5], q[6];\ncrx(x83) q[6], q[7];\ncrx(x84) q[7], q[8];\ncrx(x85) q[8], q[9];\nry(x86) q[0];\nry(x87) q[1];\nry(x88) q[2];\nry(x89) q[3];\nry(x90) q[4];\nry(x91) q[5];\nry(x92) q[6];\nry(x93) q[7];\nry(x94) q[8];\nry(x95) q[9];\nry(x53) q[10];\ncrx(x96) q[10], q[0];\ncrx(x97) q[9], q[10];\ncrx(x98) q[8], q[9];\ncrx(x99) q[7], q[8];\ncrx(x100) q[6], q[7];\ncrx(x101) q[5], q[6];\ncrx(x102) q[4], q[5];\ncrx(x103) q[3], q[4];\ncrx(x104) q[2], q[3];\ncrx(x105) q[1], q[2];\ncrx(x106) q[0], q[1];\nry(x107) q[0];\nry(x108) q[1];\nry(x109) q[2];\nry(x110) q[3];\nry(x111) q[4];\nry(x112) q[5];\nry(x113) q[6];\nry(x114) q[7];\nry(x115) q[8];\nry(x116) q[9];\nry(x117) q[10];\ncrx(x118) q[10], q[9];\ncrx(x119) q[0], q[10];\ncrx(x120) q[0], q[1];\ncrx(x121) q[1], q[2];\ncrx(x122) q[2], q[3];\ncrx(x123) q[3], q[4];\ncrx(x124) q[4], q[5];\ncrx(x125) q[5], q[6];\ncrx(x126) q[6], q[7];\ncrx(x127) q[7], q[8];\ncrx(x128) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["4187cb356e6f58a0c6714f20153352eb","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 3, \"source\": 1, \"target\": 8}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 3, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 2, \"source\": 7, \"target\": 3}]}","{\"states\": [145, 147], \"expectation_value\": -10.999986261504706, \"params\": null, \"bitstrings\": [\"101101110\", \"101101100\"], \"total_optimization_steps\": 41, \"probabilities\": [0.49999845943863325, 0.49999997784832195], \"optimization_time\": 56.32380795478821}","-0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + -1.5 * Z(3) + 1.5 * Z(1) + 0.0 * Z(5) + -0.75 * Z(6) + 0.5 * Z(8) + 2.0 * Z(4) + 0.5 * Z(7)",1,9,3,"{\"smallest_eigenvalues\": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -10.0, \"smallest_bitstrings\": [\"101111110\", \"111111110\", \"111101100\", \"111111100\", \"111101110\", \"101101110\", \"101101100\", \"101111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[4];\ncry(1.5708) q[4], q[1];\ncry(-1.5708) q[4], q[2];\ncry(1.5706) q[1], q[8];\nry(-1.5708) q[0];\ncry(-1.5708) q[4], q[3];\ncry(-1.5486) q[8], q[5];\nry(-1.4447) q[6];\ncry(-0.119) q[4], q[6];\ncry(-0.0222) q[4], q[5];\ncry(0.0003) q[1], q[2];\nry(0.0031) q[2];\ncry(-0.0035) q[7], q[2];\ncry(0.0001) q[4], q[8];\ncry(-0.0067) q[8], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"source\": 0, \"sink\": 8}",{"$cut":{"chars":25376,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5708) q[4];\\ncry(1.5708) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5708) q[4];\\ncry(1.5708) q[4], q[1];\\ncry(-1.5708) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5708) q[4];\\ncry(1.5708) q[4], q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(1.5706) q[1], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5708) q[4];\\ncry(1.5708) q[4], q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(1.5706) q[1], q[8];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5708) q[4];\\ncry(1.5708) q[4], q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(1.5706) q[1], q[8];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5708) q[4];\\ncry(1.5708) q[4], q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(1.5706) q[1], q[8];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[4], q[3];\\ncry(-1.5486) q[8], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5708) q[4];\\ncry(1.5708) q[4], q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(1.5706) q[1], q[8];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[4], q[3];\\ncry(-1.5486) q[8], q[5];\\nry(-1.4447) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5708) q[4];\\ncry(1.5708) q[4], q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(1.5706) q[1], q[8];\\nry(-1.5708) q[0];\\ncry(-1.5708) q[4], q[3];\\ncry(-1.5486) q[8], q[5];\\nry(-1.4447) q[6];\\ncry(-0.119) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];"}}]
["ae89ed3cd3a3daf867ac1e5c76cb7bf2","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 5}, {\"weight\": 11, \"source\": 1, \"target\": 6}, {\"weight\": 19, \"source\": 1, \"target\": 4}, {\"weight\": 9, \"source\": 2, \"target\": 3}, {\"weight\": 15, \"source\": 2, \"target\": 6}, {\"weight\": 18, \"source\": 3, \"target\": 4}, {\"weight\": 8, \"source\": 4, \"target\": 5}]}","{\"states\": [122, 118], \"expectation_value\": -15.776241575039192, \"params\": [[-0.044000000000000004, -0.0048000000000000004, 0.0733], [0.0675, 0.056, -0.0361]], \"bitstrings\": [\"10000101\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012842919912996572, 0.01390338046965809], \"optimization_time\": 8.246975421905518}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(1) + 5.5 * Z(0) + 9.5 * Z(3) + 17.5 * Z(2) + 7.5 * Z(5) + 4.5 * Z(4) + 13.0 * Z(6) + 8.0 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-56.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -50.0, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.352) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.352) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(-0.352) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.352) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(-0.352) q[5];\ncx q[3], q[5];\ncx q[5], q[4];\nrz(-0.352) q[4];\ncx q[5], q[4];\ncx q[2], q[6];\nrz(-0.352) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.352) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.352) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(-0.352) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(-0.352) q[7];\ncx q[6], q[7];\nrz(-0.572) q[1];\nrz(-0.484) q[0];\nrz(-0.836) q[3];\nrz(-1.54) q[2];\nrz(-0.66) q[5];\nrz(-0.396) q[4];\nrz(-1.144) q[6];\nrz(-0.704) q[7];\nh q[0];\nrz(0.135) q[0];\nh q[0];\nh q[1];\nrz(0.135) q[1];\nh q[1];\nh q[2];\nrz(0.135) q[2];\nh q[2];\nh q[3];\nrz(0.135) q[3];\nh q[3];\nh q[4];\nrz(0.135) q[4];\nh q[4];\nh q[5];\nrz(0.135) q[5];\nh q[5];\nh q[6];\nrz(0.135) q[6];\nh q[6];\nh q[7];\nrz(0.135) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0384) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(-0.0384) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(-0.0384) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.0384) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(-0.0384) q[5];\ncx q[3], q[5];\ncx q[5], q[4];\nrz(-0.0384) q[4];\ncx q[5], q[4];\ncx q[2], q[6];\nrz(-0.0384) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0384) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.0384) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(-0.0384) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(-0.0384) q[7];\ncx q[6], q[7];\nrz(-0.0624) q[1];\nrz(-0.0528) q[0];\nrz(-0.0912) q[3];\nrz(-0.168) q[2];\nrz(-0.072) q[5];\nrz(-0.0432) q[4];\nrz(-0.1248) q[6];\nrz(-0.0768) q[7];\nh q[0];\nrz(0.112) q[0];\nh q[0];\nh q[1];\nrz(0.112) q[1];\nh q[1];\nh q[2];\nrz(0.112) q[2];\nh q[2];\nh q[3];\nrz(0.112) q[3];\nh q[3];\nh q[4];\nrz(0.112) q[4];\nh q[4];\nh q[5];\nrz(0.112) q[5];\nh q[5];\nh q[6];\nrz(0.112) q[6];\nh q[6];\nh q[7];\nrz(0.112) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.5864) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(0.5864) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(0.5864) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(0.5864) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(0.5864) q[5];\ncx q[3], q[5];\ncx q[5], q[4];\nrz(0.5864) q[4];\ncx q[5], q[4];\ncx q[2], q[6];\nrz(0.5864) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.5864) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(0.5864) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(0.5864) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(0.5864) q[7];\ncx q[6], q[7];\nrz(0.9529) q[1];\nrz(0.8063) q[0];\nrz(1.3927) q[3];\nrz(2.5655) q[2];\nrz(1.0995) q[5];\nrz(0.6597) q[4];\nrz(1.9058) q[6];\nrz(1.1728) q[7];\nh q[0];\nrz(-0.0722) q[0];\nh q[0];\nh q[1];\nrz(-0.0722) q[1];\nh q[1];\nh q[2];\nrz(-0.0722) q[2];\nh q[2];\nh q[3];\nrz(-0.0722) q[3];\nh q[3];\nh q[4];\nrz(-0.0722) q[4];\nh q[4];\nh q[5];\nrz(-0.0722) q[5];\nh q[5];\nh q[6];\nrz(-0.0722) q[6];\nh q[6];\nh q[7];\nrz(-0.0722) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[3];\nrz(x4) q[2];\nrz(x5) q[5];\nrz(x6) q[4];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[5], q[4];\nrz(x10) q[4];\ncx q[5], q[4];\ncx q[2], q[6];\nrz(x10) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x10) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[3];\nrz(x14) q[2];\nrz(x15) q[5];\nrz(x16) q[4];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x20) q[2];\ncx q[3], q[2];\ncx q[3], q[5];\nrz(x20) q[5];\ncx q[3], q[5];\ncx q[5], q[4];\nrz(x20) q[4];\ncx q[5], q[4];\ncx q[2], q[6];\nrz(x20) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x20) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x20) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x20) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[3];\nrz(x24) q[2];\nrz(x25) q[5];\nrz(x26) q[4];\nrz(x27) q[6];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["7203b0dd22c47919131561d597fd7a8a","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 7}, {\"capacity\": 4, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 3, \"source\": 7, \"target\": 2}]}","{\"states\": [17, 1], \"expectation_value\": -2.0890862870390112, \"params\": [[-0.051800000000000006, -0.0618, -0.0408], [0.046, 0.06470000000000001, 0.0637]], \"bitstrings\": [\"111101110\", \"111111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00569263528957234, 0.006376820939199405], \"optimization_time\": 5.108850479125977}","-1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + -1.0 * Z(6) + 2.25 * Z(8) + -0.5 * Z(1) + -1.0 * Z(5) + 0.25 * Z(7) + 1.5 * Z(4)",1,9,3,"{\"smallest_eigenvalues\": [-13.5, -13.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -12.5, \"smallest_bitstrings\": [\"111111110\", \"111101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(0.1036) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0259) q[3];\ncx q[0], q[3];\ncx q[2], q[6];\nrz(0.0259) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0777) q[6];\ncx q[0], q[6];\ncx q[0], q[8];\nrz(-0.2331) q[8];\ncx q[0], q[8];\ncx q[2], q[1];\nrz(0.0259) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(0.0777) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(0.0777) q[5];\ncx q[1], q[5];\ncx q[2], q[7];\nrz(0.1036) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.0259) q[7];\ncx q[3], q[7];\ncx q[2], q[4];\nrz(0.0518) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(0.1036) q[4];\ncx q[1], q[4];\nrz(0.1295) q[2];\nrz(0.0259) q[0];\nrz(0) q[3];\nrz(0.1036) q[6];\nrz(-0.2331) q[8];\nrz(0.0518) q[1];\nrz(0.1036) q[5];\nrz(-0.0259) q[7];\nrz(-0.1554) q[4];\nh q[0];\nrz(0.092) q[0];\nh q[0];\nh q[1];\nrz(0.092) q[1];\nh q[1];\nh q[2];\nrz(0.092) q[2];\nh q[2];\nh q[3];\nrz(0.092) q[3];\nh q[3];\nh q[4];\nrz(0.092) q[4];\nh q[4];\nh q[5];\nrz(0.092) q[5];\nh q[5];\nh q[6];\nrz(0.092) q[6];\nh q[6];\nh q[7];\nrz(0.092) q[7];\nh q[7];\nh q[8];\nrz(0.092) q[8];\nh q[8];\ncx q[2], q[0];\nrz(0.1236) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0309) q[3];\ncx q[0], q[3];\ncx q[2], q[6];\nrz(0.0309) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0927) q[6];\ncx q[0], q[6];\ncx q[0], q[8];\nrz(-0.2781) q[8];\ncx q[0], q[8];\ncx q[2], q[1];\nrz(0.0309) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(0.0927) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(0.0927) q[5];\ncx q[1], q[5];\ncx q[2], q[7];\nrz(0.1236) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.0309) q[7];\ncx q[3], q[7];\ncx q[2], q[4];\nrz(0.0618) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(0.1236) q[4];\ncx q[1], q[4];\nrz(0.1545) q[2];\nrz(0.0309) q[0];\nrz(0) q[3];\nrz(0.1236) q[6];\nrz(-0.2781) q[8];\nrz(0.0618) q[1];\nrz(0.1236) q[5];\nrz(-0.0309) q[7];\nrz(-0.1854) q[4];\nh q[0];\nrz(0.1294) q[0];\nh q[0];\nh q[1];\nrz(0.1294) q[1];\nh q[1];\nh q[2];\nrz(0.1294) q[2];\nh q[2];\nh q[3];\nrz(0.1294) q[3];\nh q[3];\nh q[4];\nrz(0.1294) q[4];\nh q[4];\nh q[5];\nrz(0.1294) q[5];\nh q[5];\nh q[6];\nrz(0.1294) q[6];\nh q[6];\nh q[7];\nrz(0.1294) q[7];\nh q[7];\nh q[8];\nrz(0.1294) q[8];\nh q[8];\ncx q[2], q[0];\nrz(0.0816) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0204) q[3];\ncx q[0], q[3];\ncx q[2], q[6];\nrz(0.0204) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0612) q[6];\ncx q[0], q[6];\ncx q[0], q[8];\nrz(-0.1836) q[8];\ncx q[0], q[8];\ncx q[2], q[1];\nrz(0.0204) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(0.0612) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(0.0612) q[5];\ncx q[1], q[5];\ncx q[2], q[7];\nrz(0.0816) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.0204) q[7];\ncx q[3], q[7];\ncx q[2], q[4];\nrz(0.0408) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(0.0816) q[4];\ncx q[1], q[4];\nrz(0.102) q[2];\nrz(0.0204) q[0];\nrz(0) q[3];\nrz(0.0816) q[6];\nrz(-0.1836) q[8];\nrz(0.0408) q[1];\nrz(0.0816) q[5];\nrz(-0.0204) q[7];\nrz(-0.1224) q[4];\nh q[0];\nrz(0.1274) q[0];\nh q[0];\nh q[1];\nrz(0.1274) q[1];\nh q[1];\nh q[2];\nrz(0.1274) q[2];\nh q[2];\nh q[3];\nrz(0.1274) q[3];\nh q[3];\nh q[4];\nrz(0.1274) q[4];\nh q[4];\nh q[5];\nrz(0.1274) q[5];\nh q[5];\nh q[6];\nrz(0.1274) q[6];\nh q[6];\nh q[7];\nrz(0.1274) q[7];\nh q[7];\nh q[8];\nrz(0.1274) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[0], q[8];\nrz(x3) q[8];\ncx q[0], q[8];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[2], q[4];\nrz(x4) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\nrz(x5) q[2];\nrz(x1) q[0];\nrz(x6) q[3];\nrz(x0) q[6];\nrz(x3) q[8];\nrz(x4) q[1];\nrz(x0) q[5];\nrz(x7) q[7];\nrz(x8) q[4];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x10) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x12) q[6];\ncx q[0], q[6];\ncx q[0], q[8];\nrz(x13) q[8];\ncx q[0], q[8];\ncx q[2], q[1];\nrz(x11) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(x12) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x12) q[5];\ncx q[1], q[5];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x11) q[7];\ncx q[3], q[7];\ncx q[2], q[4];\nrz(x14) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\nrz(x15) q[2];\nrz(x11) q[0];\nrz(x6) q[3];\nrz(x10) q[6];\nrz(x13) q[8];\nrz(x14) q[1];\nrz(x10) q[5];\nrz(x16) q[7];\nrz(x17) q[4];\nh q[0];\nrz(x18) q[0];\nh q[0];\nh q[1];\nrz(x18) q[1];\nh q[1];\nh q[2];\nrz(x18) q[2];\nh q[2];\nh q[3];\nrz(x18) q[3];\nh q[3];\nh q[4];\nrz(x18) q[4];\nh q[4];\nh q[5];\nrz(x18) q[5];\nh q[5];\nh q[6];\nrz(x18) q[6];\nh q[6];\nh q[7];\nrz(x18) q[7];\nh q[7];\nh q[8];\nrz(x18) q[8];\nh q[8];\ncx q[2], q[0];\nrz(x19) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[2], q[6];\nrz(x20) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x21) q[6];\ncx q[0], q[6];\ncx q[0], q[8];\nrz(x22) q[8];\ncx q[0], q[8];\ncx q[2], q[1];\nrz(x20) q[1];\ncx q[2], q[1];\ncx q[2], q[5];\nrz(x21) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x21) q[5];\ncx q[1], q[5];\ncx q[2], q[7];\nrz(x19) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x20) q[7];\ncx q[3], q[7];\ncx q[2], q[4];\nrz(x23) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x19) q[4];\ncx q[1], q[4];\nrz(x24) q[2];\nrz(x20) q[0];\nrz(x6) q[3];\nrz(x19) q[6];\nrz(x22) q[8];\nrz(x23) q[1];\nrz(x19) q[5];\nrz(x25) q[7];\nrz(x26) q[4];\nh q[0];\nrz(x27) q[0];\nh q[0];\nh q[1];\nrz(x27) q[1];\nh q[1];\nh q[2];\nrz(x27) q[2];\nh q[2];\nh q[3];\nrz(x27) q[3];\nh q[3];\nh q[4];\nrz(x27) q[4];\nh q[4];\nh q[5];\nrz(x27) q[5];\nh q[5];\nh q[6];\nrz(x27) q[6];\nh q[6];\nh q[7];\nrz(x27) q[7];\nh q[7];\nh q[8];\nrz(x27) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["cc7438f9c3f135fc425e5dafbb725117","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}]}","{\"states\": [23, 51], \"expectation_value\": -4.499105012037314, \"params\": null, \"bitstrings\": [\"1101000\", \"1001100\"], \"total_optimization_steps\": 36, \"probabilities\": [0.06552852227040738, 0.933846672002889], \"optimization_time\": 37.69747447967529}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -2.0 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3)",1,7,3,"{\"smallest_eigenvalues\": [-4.5, -4.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"1101000\", \"1001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nry(-1.4449) q[3];\nry(1.4449) q[2];\nry(1.4417) q[6];\nry(1.4417) q[5];\ncry(-1.0342) q[1], q[4];\nry(0.7003) q[1];\ncry(-0.1259) q[6], q[3];\nry(-0.4549) q[4];\ncry(0.4963) q[2], q[1];\ncry(-0.3789) q[2], q[4];\ncry(0.2489) q[6], q[1];\ncry(-0.1488) q[6], q[4];\ncry(0.1217) q[2], q[5];\ncry(0.1209) q[5], q[6];\ncry(0.1157) q[6], q[2];\ncry(0.0867) q[5], q[1];\ncry(-0.0495) q[5], q[4];\ncry(-0.0005) q[5], q[3];\ncry(0.0074) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":21907,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[6];\\nry(1.4417) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[6];\\nry(1.4417) q[5];\\ncry(-1.0342) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[6];\\nry(1.4417) q[5];\\ncry(-1.0342) q[1], q[4];\\nry(0.7003) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[6];\\nry(1.4417) q[5];\\ncry(-1.0342) q[1], q[4];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[6];\\nry(1.4417) q[5];\\ncry(-1.0342) q[1], q[4];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[3];\\nry(-0.4549) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[0];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\nry(1.4417) q[6];\\nry(1.4417) q[5];\\ncry(-1.0342) q[1], q[4];\\nry(0.7003) q[1];\\ncry(-0.1259) q[6], q[3];\\nry(-0.4549) q[4];\\ncry(0.4963) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\n"}}]
["1900434968305725660","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], \"hyperedges\": [[0, 5], [9, 10], [0, 11], [9, 7], [9, 11], [10, 5], [0, 10], [8, 12], [2, 5], [13, 5], [2, 11], [3, 7], [1, 6], [10, 11], [0, 6], [3, 13], [11, 4], [10, 12], [8, 9], [5, 7], [1, 11], [9, 3], [8, 1], [12, 7], [10, 13], [1, 3], [1, 4], [0, 4], [11, 6], [12, 13], [8, 7], [8, 5], [2, 13], [0, 3], [0, 2], [4, 6], [8, 6], [1, 5], [5, 6], [1, 12], [2, 4], [3, 11], [8, 13], [2, 7], [2, 3], [3, 12], [0, 12], [4, 5], [8, 10], [8, 4], [13, 7], [9, 13], [0, 13], [11, 12]]}","{\"states\": [3994, 12389], \"expectation_value\": -2.336879039638952, \"params\": [[0.169], [-0.1733]], \"bitstrings\": [\"11000001100101\", \"00111110011010\"], \"total_optimization_steps\": 20, \"probabilities\": [0.00028809737117252584, 0.00028809737117252584], \"optimization_time\": 88.92252278327942}","0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(10)) + 0.5 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(7)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(0)) + 0.5 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(7)) + 0.5 * (Z(13) @ Z(8)) + 0.5 * (Z(13) @ Z(12)) + 0.5 * (Z(13) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(12)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(13)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(10) + 0.0 * Z(9) + 0.0 * Z(11) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(12) + 0.0 * Z(2) + 0.0 * Z(13) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4)",1,14,1,"{\"smallest_eigenvalues\": [-8.999999999999929], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.999999999999915, \"smallest_bitstrings\": [\"00111110011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncx q[5], q[0];\nrz(0.169) q[0];\ncx q[5], q[0];\ncx q[5], q[10];\nrz(0.169) q[10];\ncx q[5], q[10];\ncx q[0], q[10];\nrz(0.169) q[10];\ncx q[0], q[10];\ncx q[10], q[9];\nrz(0.169) q[9];\ncx q[10], q[9];\ncx q[0], q[11];\nrz(0.169) q[11];\ncx q[0], q[11];\ncx q[10], q[11];\nrz(0.169) q[11];\ncx q[10], q[11];\ncx q[9], q[11];\nrz(0.169) q[11];\ncx q[9], q[11];\ncx q[5], q[7];\nrz(0.169) q[7];\ncx q[5], q[7];\ncx q[9], q[7];\nrz(0.169) q[7];\ncx q[9], q[7];\ncx q[5], q[8];\nrz(0.169) q[8];\ncx q[5], q[8];\ncx q[10], q[8];\nrz(0.169) q[8];\ncx q[10], q[8];\ncx q[9], q[8];\nrz(0.169) q[8];\ncx q[9], q[8];\ncx q[7], q[8];\nrz(0.169) q[8];\ncx q[7], q[8];\ncx q[0], q[12];\nrz(0.169) q[12];\ncx q[0], q[12];\ncx q[10], q[12];\nrz(0.169) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(0.169) q[12];\ncx q[11], q[12];\ncx q[7], q[12];\nrz(0.169) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(0.169) q[12];\ncx q[8], q[12];\ncx q[5], q[2];\nrz(0.169) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(0.169) q[2];\ncx q[0], q[2];\ncx q[11], q[2];\nrz(0.169) q[2];\ncx q[11], q[2];\ncx q[7], q[2];\nrz(0.169) q[2];\ncx q[7], q[2];\ncx q[5], q[13];\nrz(0.169) q[13];\ncx q[5], q[13];\ncx q[0], q[13];\nrz(0.169) q[13];\ncx q[0], q[13];\ncx q[10], q[13];\nrz(0.169) q[13];\ncx q[10], q[13];\ncx q[9], q[13];\nrz(0.169) q[13];\ncx q[9], q[13];\ncx q[7], q[13];\nrz(0.169) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(0.169) q[13];\ncx q[8], q[13];\ncx q[12], q[13];\nrz(0.169) q[13];\ncx q[12], q[13];\ncx q[2], q[13];\nrz(0.169) q[13];\ncx q[2], q[13];\ncx q[0], q[3];\nrz(0.169) q[3];\ncx q[0], q[3];\ncx q[9], q[3];\nrz(0.169) q[3];\ncx q[9], q[3];\ncx q[11], q[3];\nrz(0.169) q[3];\ncx q[11], q[3];\ncx q[7], q[3];\nrz(0.169) q[3];\ncx q[7], q[3];\ncx q[12], q[3];\nrz(0.169) q[3];\ncx q[12], q[3];\ncx q[2], q[3];\nrz(0.169) q[3];\ncx q[2], q[3];\ncx q[13], q[3];\nrz(0.169) q[3];\ncx q[13], q[3];\ncx q[5], q[1];\nrz(0.169) q[1];\ncx q[5], q[1];\ncx q[11], q[1];\nrz(0.169) q[1];\ncx q[11], q[1];\ncx q[8], q[1];\nrz(0.169) q[1];\ncx q[8], q[1];\ncx q[12], q[1];\nrz(0.169) q[1];\ncx q[12], q[1];\ncx q[3], q[1];\nrz(0.169) q[1];\ncx q[3], q[1];\ncx q[5], q[6];\nrz(0.169) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(0.169) q[6];\ncx q[0], q[6];\ncx q[11], q[6];\nrz(0.169) q[6];\ncx q[11], q[6];\ncx q[8], q[6];\nrz(0.169) q[6];\ncx q[8], q[6];\ncx q[1], q[6];\nrz(0.169) q[6];\ncx q[1], q[6];\ncx q[5], q[4];\nrz(0.169) q[4];\ncx q[5], q[4];\ncx q[0], q[4];\nrz(0.169) q[4];\ncx q[0], q[4];\ncx q[11], q[4];\nrz(0.169) q[4];\ncx q[11], q[4];\ncx q[8], q[4];\nrz(0.169) q[4];\ncx q[8], q[4];\ncx q[2], q[4];\nrz(0.169) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(0.169) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(0.169) q[4];\ncx q[6], q[4];\nrz(0) q[5];\nrz(0) q[0];\nrz(0) q[10];\nrz(0) q[9];\nrz(0) q[11];\nrz(0) q[7];\nrz(0) q[8];\nrz(0) q[12];\nrz(0) q[2];\nrz(0) q[13];\nrz(0) q[3];\nrz(0) q[1];\nrz(0) q[6];\nrz(0) q[4];\nh q[0];\nrz(-0.3466) q[0];\nh q[0];\nh q[1];\nrz(-0.3466) q[1];\nh q[1];\nh q[2];\nrz(-0.3466) q[2];\nh q[2];\nh q[3];\nrz(-0.3466) q[3];\nh q[3];\nh q[4];\nrz(-0.3466) q[4];\nh q[4];\nh q[5];\nrz(-0.3466) q[5];\nh q[5];\nh q[6];\nrz(-0.3466) q[6];\nh q[6];\nh q[7];\nrz(-0.3466) q[7];\nh q[7];\nh q[8];\nrz(-0.3466) q[8];\nh q[8];\nh q[9];\nrz(-0.3466) q[9];\nh q[9];\nh q[10];\nrz(-0.3466) q[10];\nh q[10];\nh q[11];\nrz(-0.3466) q[11];\nh q[11];\nh q[12];\nrz(-0.3466) q[12];\nh q[12];\nh q[13];\nrz(-0.3466) q[13];\nh q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[5], q[10];\nrz(x0) q[10];\ncx q[5], q[10];\ncx q[0], q[10];\nrz(x0) q[10];\ncx q[0], q[10];\ncx q[10], q[9];\nrz(x0) q[9];\ncx q[10], q[9];\ncx q[0], q[11];\nrz(x0) q[11];\ncx q[0], q[11];\ncx q[10], q[11];\nrz(x0) q[11];\ncx q[10], q[11];\ncx q[9], q[11];\nrz(x0) q[11];\ncx q[9], q[11];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[9], q[7];\nrz(x0) q[7];\ncx q[9], q[7];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[10], q[8];\nrz(x0) q[8];\ncx q[10], q[8];\ncx q[9], q[8];\nrz(x0) q[8];\ncx q[9], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\ncx q[0], q[12];\nrz(x0) q[12];\ncx q[0], q[12];\ncx q[10], q[12];\nrz(x0) q[12];\ncx q[10], q[12];\ncx q[11], q[12];\nrz(x0) q[12];\ncx q[11], q[12];\ncx q[7], q[12];\nrz(x0) q[12];\ncx q[7], q[12];\ncx q[8], q[12];\nrz(x0) q[12];\ncx q[8], q[12];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[11], q[2];\nrz(x0) q[2];\ncx q[11], q[2];\ncx q[7], q[2];\nrz(x0) q[2];\ncx q[7], q[2];\ncx q[5], q[13];\nrz(x0) q[13];\ncx q[5], q[13];\ncx q[0], q[13];\nrz(x0) q[13];\ncx q[0], q[13];\ncx q[10], q[13];\nrz(x0) q[13];\ncx q[10], q[13];\ncx q[9], q[13];\nrz(x0) q[13];\ncx q[9], q[13];\ncx q[7], q[13];\nrz(x0) q[13];\ncx q[7], q[13];\ncx q[8], q[13];\nrz(x0) q[13];\ncx q[8], q[13];\ncx q[12], q[13];\nrz(x0) q[13];\ncx q[12], q[13];\ncx q[2], q[13];\nrz(x0) q[13];\ncx q[2], q[13];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[9], q[3];\nrz(x0) q[3];\ncx q[9], q[3];\ncx q[11], q[3];\nrz(x0) q[3];\ncx q[11], q[3];\ncx q[7], q[3];\nrz(x0) q[3];\ncx q[7], q[3];\ncx q[12], q[3];\nrz(x0) q[3];\ncx q[12], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[13], q[3];\nrz(x0) q[3];\ncx q[13], q[3];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[11], q[1];\nrz(x0) q[1];\ncx q[11], q[1];\ncx q[8], q[1];\nrz(x0) q[1];\ncx q[8], q[1];\ncx q[12], q[1];\nrz(x0) q[1];\ncx q[12], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[11], q[6];\nrz(x0) q[6];\ncx q[11], q[6];\ncx q[8], q[6];\nrz(x0) q[6];\ncx q[8], q[6];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[11], q[4];\nrz(x0) q[4];\ncx q[11], q[4];\ncx q[8], q[4];\nrz(x0) q[4];\ncx q[8], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\nrz(x1) q[5];\nrz(x1) q[0];\nrz(x1) q[10];\nrz(x1) q[9];\nrz(x1) q[11];\nrz(x1) q[7];\nrz(x1) q[8];\nrz(x1) q[12];\nrz(x1) q[2];\nrz(x1) q[13];\nrz(x1) q[3];\nrz(x1) q[1];\nrz(x1) q[6];\nrz(x1) q[4];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nh q[8];\nrz(x2) q[8];\nh q[8];\nh q[9];\nrz(x2) q[9];\nh q[9];\nh q[10];\nrz(x2) q[10];\nh q[10];\nh q[11];\nrz(x2) q[11];\nh q[11];\nh q[12];\nrz(x2) q[12];\nh q[12];\nh q[13];\nrz(x2) q[13];\nh q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];",null,"{\"circuits\": [], \"gradients\": []}"]
["66f75df6a73731ca3dfcd77bd9b8f9a8","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}]}","{\"states\": [127, 111], \"expectation_value\": -6.016587044511369, \"params\": [[[0.0024000000000000002, 3.1619], [0.0021000000000000003, 0.0023], [-1.6054000000000002, 0.002], [0.0021000000000000003, 0.0021000000000000003], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.002], [0.0022, -0.0082]]], \"bitstrings\": [\"0000000\", \"0010000\"], \"total_optimization_steps\": 320, \"probabilities\": [0.48261976110306215, 0.5172454829018719], \"optimization_time\": 6.303895711898804}","-1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2)",15,7,1,"{\"smallest_eigenvalues\": [-6.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"0010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nry(0.0024) q[0];\nry(0.0021) q[1];\nry(-1.6054) q[2];\nry(0.0021) q[3];\nry(0.0021) q[4];\nry(0.0021) q[5];\nry(0.0022) q[6];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(3.1619) q[0];\nry(0.0023) q[1];\nry(0.002) q[2];\nry(0.0021) q[3];\nry(0.002) q[4];\nry(0.002) q[5];\nry(-0.0082) q[6];\ncx q[6], q[5];\ncx q[0], q[6];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[7] c;\nqubit[7] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x1) q[3];\nry(x1) q[4];\nry(x1) q[5];\nry(x3) q[6];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x4) q[0];\nry(x5) q[1];\nry(x6) q[2];\nry(x1) q[3];\nry(x6) q[4];\nry(x6) q[5];\nry(x7) q[6];\ncx q[6], q[5];\ncx q[0], q[6];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["ce16507f4df4b68459e3b5a73265e8de","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}]}","{\"states\": [510, 1023], \"expectation_value\": -9.174996504253672, \"params\": [[[-1.0121, 1.1102], [0.0027, 1.1031], [-0.0028, 0.0031000000000000003], [0.0019, -0.0016], [-0.0018000000000000002, -0.0015], [-0.0015, 0.0014], [-0.0029000000000000002, -0.0018000000000000002], [-0.0031000000000000003, -0.0022], [-0.0029000000000000002, -0.0029000000000000002], [-0.0017000000000000001, 0.0019]]], \"bitstrings\": [\"1000000001\", \"0000000000\"], \"total_optimization_steps\": 110, \"probabilities\": [0.36854558385035285, 0.3702319439774976], \"optimization_time\": 7.631924629211426}","-1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(2) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 1.0 * Z(8) + -1.0 * Z(2) + 0.5 * Z(9)",15,10,1,"{\"smallest_eigenvalues\": [-13.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.5, \"smallest_bitstrings\": [\"0000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(-1.0121) q[0];\nry(0.0027) q[1];\nry(-0.0028) q[2];\nry(0.0019) q[3];\nry(-0.0018) q[4];\nry(-0.0015) q[5];\nry(-0.0029) q[6];\nry(-0.0031) q[7];\nry(-0.0029) q[8];\nry(-0.0017) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.1102) q[0];\nry(1.1031) q[1];\nry(0.0031) q[2];\nry(-0.0016) q[3];\nry(-0.0015) q[4];\nry(0.0014) q[5];\nry(-0.0018) q[6];\nry(-0.0022) q[7];\nry(-0.0029) q[8];\nry(0.0019) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x6) q[8];\nry(x8) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x5) q[4];\nry(x13) q[5];\nry(x4) q[6];\nry(x14) q[7];\nry(x6) q[8];\nry(x3) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 7}","{\"circuits\": [], \"gradients\": []}"]
["27e77dc99416ada4c5d281f5cb59d253","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}]}","{\"states\": [64, 63], \"expectation_value\": -1.0847854971372195, \"params\": [[0.0722, 0.07100000000000001, 0.0732], [-0.069, -0.0714, -0.0732]], \"bitstrings\": [\"0111111\", \"1000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.018624269348222894, 0.019318197518573204], \"optimization_time\": 6.3234474658966064}","-0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.5 * Z(6) + 1.5 * Z(1) + -0.5 * Z(2) + 0.5 * Z(4) + 0.25 * Z(5)",1,7,3,"{\"smallest_eigenvalues\": [-5.75, -5.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.75, \"smallest_bitstrings\": [\"1000000\", \"1001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(-0.0361) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(0.0722) q[6];\ncx q[0], q[6];\ncx q[6], q[1];\nrz(-0.0722) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(-0.0361) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.0361) q[2];\ncx q[1], q[2];\ncx q[3], q[4];\nrz(-0.0722) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.0722) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(-0.0361) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.0722) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(-0.0722) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.0722) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0722) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.1083) q[5];\ncx q[4], q[5];\nrz(-0.1444) q[3];\nrz(-0.0361) q[0];\nrz(-0.0722) q[6];\nrz(0.2166) q[1];\nrz(-0.0722) q[2];\nrz(0.0722) q[4];\nrz(0.0361) q[5];\nh q[0];\nrz(-0.138) q[0];\nh q[0];\nh q[1];\nrz(-0.138) q[1];\nh q[1];\nh q[2];\nrz(-0.138) q[2];\nh q[2];\nh q[3];\nrz(-0.138) q[3];\nh q[3];\nh q[4];\nrz(-0.138) q[4];\nh q[4];\nh q[5];\nrz(-0.138) q[5];\nh q[5];\nh q[6];\nrz(-0.138) q[6];\nh q[6];\ncx q[3], q[0];\nrz(-0.0355) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(0.071) q[6];\ncx q[0], q[6];\ncx q[6], q[1];\nrz(-0.071) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(-0.0355) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.0355) q[2];\ncx q[1], q[2];\ncx q[3], q[4];\nrz(-0.071) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.071) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(-0.0355) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.071) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(-0.071) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.071) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.071) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.1065) q[5];\ncx q[4], q[5];\nrz(-0.142) q[3];\nrz(-0.0355) q[0];\nrz(-0.071) q[6];\nrz(0.213) q[1];\nrz(-0.071) q[2];\nrz(0.071) q[4];\nrz(0.0355) q[5];\nh q[0];\nrz(-0.1428) q[0];\nh q[0];\nh q[1];\nrz(-0.1428) q[1];\nh q[1];\nh q[2];\nrz(-0.1428) q[2];\nh q[2];\nh q[3];\nrz(-0.1428) q[3];\nh q[3];\nh q[4];\nrz(-0.1428) q[4];\nh q[4];\nh q[5];\nrz(-0.1428) q[5];\nh q[5];\nh q[6];\nrz(-0.1428) q[6];\nh q[6];\ncx q[3], q[0];\nrz(-0.0366) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(0.0732) q[6];\ncx q[0], q[6];\ncx q[6], q[1];\nrz(-0.0732) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(-0.0366) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.0366) q[2];\ncx q[1], q[2];\ncx q[3], q[4];\nrz(-0.0732) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(-0.0732) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(-0.0366) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.0732) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(-0.0732) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.0732) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0732) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.1098) q[5];\ncx q[4], q[5];\nrz(-0.1464) q[3];\nrz(-0.0366) q[0];\nrz(-0.0732) q[6];\nrz(0.2196) q[1];\nrz(-0.0732) q[2];\nrz(0.0732) q[4];\nrz(0.0366) q[5];\nh q[0];\nrz(-0.1464) q[0];\nh q[0];\nh q[1];\nrz(-0.1464) q[1];\nh q[1];\nh q[2];\nrz(-0.1464) q[2];\nh q[2];\nh q[3];\nrz(-0.1464) q[3];\nh q[3];\nh q[4];\nrz(-0.1464) q[4];\nh q[4];\nh q[5];\nrz(-0.1464) q[5];\nh q[5];\nh q[6];\nrz(-0.1464) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[6], q[1];\nrz(x2) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[3], q[4];\nrz(x2) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x2) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x3) q[5];\ncx q[4], q[5];\nrz(x4) q[3];\nrz(x0) q[0];\nrz(x2) q[6];\nrz(x5) q[1];\nrz(x2) q[2];\nrz(x1) q[4];\nrz(x6) q[5];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x8) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(x9) q[6];\ncx q[0], q[6];\ncx q[6], q[1];\nrz(x10) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x8) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x10) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(x8) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x11) q[5];\ncx q[4], q[5];\nrz(x12) q[3];\nrz(x8) q[0];\nrz(x10) q[6];\nrz(x13) q[1];\nrz(x10) q[2];\nrz(x9) q[4];\nrz(x14) q[5];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\ncx q[3], q[0];\nrz(x16) q[0];\ncx q[3], q[0];\ncx q[0], q[6];\nrz(x17) q[6];\ncx q[0], q[6];\ncx q[6], q[1];\nrz(x18) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x16) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x16) q[2];\ncx q[1], q[2];\ncx q[3], q[4];\nrz(x18) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x18) q[4];\ncx q[6], q[4];\ncx q[1], q[4];\nrz(x16) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x18) q[4];\ncx q[2], q[4];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x18) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x18) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x19) q[5];\ncx q[4], q[5];\nrz(x20) q[3];\nrz(x16) q[0];\nrz(x18) q[6];\nrz(x21) q[1];\nrz(x18) q[2];\nrz(x17) q[4];\nrz(x22) q[5];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["9915ff93784d747e82bcd9a73a2399e5","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}]}","{\"states\": [12, 3], \"expectation_value\": -2.690341494376489, \"params\": [[-0.0577, -0.0449], [0.0618, 0.063]], \"bitstrings\": [\"10011\", \"11100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.04663077794640261, 0.047946109030190726], \"optimization_time\": 2.323989152908325}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4)",16,5,2,"{\"smallest_eigenvalues\": [-7.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.75, \"smallest_bitstrings\": [\"11100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(-0.202) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.202) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.202) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2308) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.202) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2308) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.2308) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.202) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2308) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2308) q[4];\ncx q[3], q[4];\nrz(0.2885) q[1];\nrz(0.3462) q[0];\nrz(0.2885) q[2];\nrz(0.2596) q[3];\nrz(0.2596) q[4];\nh q[0];\nrz(0.1236) q[0];\nh q[0];\nh q[1];\nrz(0.1236) q[1];\nh q[1];\nh q[2];\nrz(0.1236) q[2];\nh q[2];\nh q[3];\nrz(0.1236) q[3];\nh q[3];\nh q[4];\nrz(0.1236) q[4];\nh q[4];\ncx q[1], q[0];\nrz(-0.1572) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1572) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.1572) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.1796) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.1572) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1796) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.1796) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.1572) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1796) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.1796) q[4];\ncx q[3], q[4];\nrz(0.2245) q[1];\nrz(0.2694) q[0];\nrz(0.2245) q[2];\nrz(0.2021) q[3];\nrz(0.2021) q[4];\nh q[0];\nrz(0.126) q[0];\nh q[0];\nh q[1];\nrz(0.126) q[1];\nh q[1];\nh q[2];\nrz(0.126) q[2];\nh q[2];\nh q[3];\nrz(0.126) q[3];\nh q[3];\nh q[4];\nrz(0.126) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x4) q[3];\nrz(x4) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x6) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x7) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x7) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\nrz(x8) q[1];\nrz(x9) q[0];\nrz(x8) q[2];\nrz(x10) q[3];\nrz(x10) q[4];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["bb8d6cb75ebb85af27b654dfabc43af9","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}]}","{\"states\": [141, 205], \"expectation_value\": -4.095370341701456, \"params\": [0.804, 0.0917, 0.8089000000000001, 0.0061, 0.8001, 0.08510000000000001, 0.8068000000000001, 0.0022, -0.011300000000000001, 0.3199, -0.0026000000000000003, 0.006900000000000001, 0.0026000000000000003, 0.4562, 0.0034000000000000002, 0.0046, 0.8056000000000001, 0.0868, 0.8033, 0.0067, 0.8047000000000001, 0.0942, 0.8025, 0.0008, -0.0132, -0.3996, -0.0128, 0.0073, 0.8074, 0.0897, 0.8023, 0.0006000000000000001, 0.0011, 0.0043, 0.2008, 0.38230000000000003, -0.0055000000000000005, 0.0017000000000000001, -0.40190000000000003, 0.0025], \"bitstrings\": [\"01110010\", \"00110010\"], \"total_optimization_steps\": 80, \"probabilities\": [0.0350691194466839, 0.03769884215657317], \"optimization_time\": 40.85936427116394}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + 0.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(7)",5,8,1,"{\"smallest_eigenvalues\": [-6.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"00110010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.804) q[0];\nrz(0.0917) q[0];\nrx(0.8001) q[1];\nrz(0.0851) q[1];\nrx(-0.0113) q[2];\nrz(0.3199) q[2];\nrx(0.0026) q[3];\nrz(0.4562) q[3];\nrx(0.8056) q[4];\nrz(0.0868) q[4];\nrx(0.8047) q[5];\nrz(0.0942) q[5];\nrx(-0.0132) q[6];\nrz(-0.3996) q[6];\nrx(0.8074) q[7];\nrz(0.0897) q[7];\ncrz(-0.4019) q[7], q[6];\ncrz(0.0017) q[7], q[5];\ncrz(-0.0055) q[7], q[4];\ncrz(0.3823) q[7], q[3];\ncrz(0.2008) q[7], q[2];\ncrz(0.0043) q[7], q[1];\ncrz(0.0011) q[7], q[0];\ncrz(0.0025) q[6], q[7];\ncrz(0.0017) q[6], q[5];\ncrz(-0.0055) q[6], q[4];\ncrz(0.3823) q[6], q[3];\ncrz(0.2008) q[6], q[2];\ncrz(0.0043) q[6], q[1];\ncrz(0.0011) q[6], q[0];\ncrz(0.0025) q[5], q[7];\ncrz(-0.4019) q[5], q[6];\ncrz(-0.0055) q[5], q[4];\ncrz(0.3823) q[5], q[3];\ncrz(0.2008) q[5], q[2];\ncrz(0.0043) q[5], q[1];\ncrz(0.0011) q[5], q[0];\ncrz(0.0025) q[4], q[7];\ncrz(-0.4019) q[4], q[6];\ncrz(0.0017) q[4], q[5];\ncrz(0.3823) q[4], q[3];\ncrz(0.2008) q[4], q[2];\ncrz(0.0043) q[4], q[1];\ncrz(0.0011) q[4], q[0];\ncrz(0.0025) q[3], q[7];\ncrz(-0.4019) q[3], q[6];\ncrz(0.0017) q[3], q[5];\ncrz(-0.0055) q[3], q[4];\ncrz(0.2008) q[3], q[2];\ncrz(0.0043) q[3], q[1];\ncrz(0.0011) q[3], q[0];\ncrz(0.0025) q[2], q[7];\ncrz(-0.4019) q[2], q[6];\ncrz(0.0017) q[2], q[5];\ncrz(-0.0055) q[2], q[4];\ncrz(0.3823) q[2], q[3];\ncrz(0.0043) q[2], q[1];\ncrz(0.0011) q[2], q[0];\ncrz(0.0025) q[1], q[7];\ncrz(-0.4019) q[1], q[6];\ncrz(0.0017) q[1], q[5];\ncrz(-0.0055) q[1], q[4];\ncrz(0.3823) q[1], q[3];\ncrz(0.2008) q[1], q[2];\ncrz(0.0011) q[1], q[0];\ncrz(0.0025) q[0], q[7];\ncrz(-0.4019) q[0], q[6];\ncrz(0.0017) q[0], q[5];\ncrz(-0.0055) q[0], q[4];\ncrz(0.3823) q[0], q[3];\ncrz(0.2008) q[0], q[2];\ncrz(0.0043) q[0], q[1];\nrx(0.8089) q[0];\nrz(0.0061) q[0];\nrx(0.8068) q[1];\nrz(0.0022) q[1];\nrx(-0.0026) q[2];\nrz(0.0069) q[2];\nrx(0.0034) q[3];\nrz(0.0046) q[3];\nrx(0.8033) q[4];\nrz(0.0067) q[4];\nrx(0.8025) q[5];\nrz(0.0008) q[5];\nrx(-0.0128) q[6];\nrz(0.0073) q[6];\nrx(0.8023) q[7];\nrz(0.0006) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[7], q[5];\ncrz(x18) q[7], q[4];\ncrz(x19) q[7], q[3];\ncrz(x20) q[7], q[2];\ncrz(x21) q[7], q[1];\ncrz(x22) q[7], q[0];\ncrz(x23) q[6], q[7];\ncrz(x17) q[6], q[5];\ncrz(x18) q[6], q[4];\ncrz(x19) q[6], q[3];\ncrz(x20) q[6], q[2];\ncrz(x21) q[6], q[1];\ncrz(x22) q[6], q[0];\ncrz(x23) q[5], q[7];\ncrz(x16) q[5], q[6];\ncrz(x18) q[5], q[4];\ncrz(x19) q[5], q[3];\ncrz(x20) q[5], q[2];\ncrz(x21) q[5], q[1];\ncrz(x22) q[5], q[0];\ncrz(x23) q[4], q[7];\ncrz(x16) q[4], q[6];\ncrz(x17) q[4], q[5];\ncrz(x19) q[4], q[3];\ncrz(x20) q[4], q[2];\ncrz(x21) q[4], q[1];\ncrz(x22) q[4], q[0];\ncrz(x23) q[3], q[7];\ncrz(x16) q[3], q[6];\ncrz(x17) q[3], q[5];\ncrz(x18) q[3], q[4];\ncrz(x20) q[3], q[2];\ncrz(x21) q[3], q[1];\ncrz(x22) q[3], q[0];\ncrz(x23) q[2], q[7];\ncrz(x16) q[2], q[6];\ncrz(x17) q[2], q[5];\ncrz(x18) q[2], q[4];\ncrz(x19) q[2], q[3];\ncrz(x21) q[2], q[1];\ncrz(x22) q[2], q[0];\ncrz(x23) q[1], q[7];\ncrz(x16) q[1], q[6];\ncrz(x17) q[1], q[5];\ncrz(x18) q[1], q[4];\ncrz(x19) q[1], q[3];\ncrz(x20) q[1], q[2];\ncrz(x22) q[1], q[0];\ncrz(x23) q[0], q[7];\ncrz(x16) q[0], q[6];\ncrz(x17) q[0], q[5];\ncrz(x18) q[0], q[4];\ncrz(x19) q[0], q[3];\ncrz(x20) q[0], q[2];\ncrz(x21) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["75e38f85452ebc08ee898a0ac8b18be5","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [252, 126], \"expectation_value\": -1.952027494355063, \"params\": null, \"bitstrings\": [\"100000011\", \"110000001\"], \"total_optimization_steps\": 78, \"probabilities\": [0.11524148036605318, 0.4593589650678186], \"optimization_time\": 235.66005611419678}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(0) @ Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(7) @ Z(2) @ Z(5)) + -0.125 * (Z(2) @ Z(5) @ Z(8)) + -0.125 * (Z(7) @ Z(2) @ Z(8)) + -0.125 * (Z(7) @ Z(5) @ Z(8)) + 0.125 * (Z(7) @ Z(2) @ Z(5) @ Z(8)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(8)) + 0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(8) @ Z(6)) + 0.25 * Z(0) + 0.125 * Z(1) + 0.25 * Z(2) + 0.125 * Z(3) + 0.125 * Z(4) + 0.25 * Z(5) + 0.125 * Z(6) + 0.125 * Z(7) + 0.125 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], \"number_of_smallest_eigenvalues\": 21, \"first_excited_energy\": -1.375, \"smallest_bitstrings\": [\"000100110\", \"100000110\", \"000110010\", \"000101010\", \"010001100\", \"010010001\", \"100010001\", \"001000110\", \"000111000\", \"011000100\", \"001110000\", \"000110001\", \"100000011\", \"001010100\", \"001010001\", \"100100010\", \"010000110\", \"010000101\", \"110000001\", \"010101000\", \"010001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.0342) q[5];\nry(0.6657) q[2];\ncry(-1.037) q[7], q[8];\ncry(0.7283) q[5], q[2];\ncry(0.4059) q[2], q[5];\ncry(-0.4638) q[8], q[7];\ncry(-0.5654) q[6], q[0];\nry(0.8039) q[3];\ncry(-0.8766) q[1], q[0];\ncry(0.6265) q[5], q[3];\nry(0.9033) q[4];\ncry(-0.856) q[7], q[1];\ncry(0.5739) q[3], q[4];\ncry(-0.4719) q[6], q[8];\ncry(0.6166) q[7], q[6];\ncry(-0.5491) q[8], q[6];\nry(0.2552) q[8];\ncry(-0.3815) q[1], q[7];\nry(0.3103) q[7];\ncry(-0.4205) q[0], q[6];\ncry(0.1691) q[4], q[2];\ncry(0.329) q[8], q[1];\nry(0.1831) q[6];\ncry(-0.1283) q[3], q[8];\ncry(-0.1267) q[5], q[0];\ncry(0.1983) q[4], q[6];\ncry(-0.0694) q[5], q[8];\ncry(0.1857) q[6], q[7];\ncry(-0.0922) q[2], q[0];\ncry(0.1252) q[4], q[3];\ncry(0.111) q[3], q[6];\ncry(-0.0656) q[4], q[8];\ncry(0.0854) q[3], q[5];\ncry(-0.098) q[6], q[1];\ncry(-0.0987) q[7], q[0];\ncry(0.0946) q[2], q[6];\ncry(0.0825) q[2], q[4];\ncry(-0.097) q[1], q[8];\ncry(0.0738) q[4], q[7];\ncry(-0.0298) q[2], q[8];\ncry(0.1199) q[0], q[7];\ncry(-0.0423) q[3], q[0];\ncry(0.0853) q[5], q[6];\ncry(-0.0325) q[4], q[0];\ncry(0.0826) q[1], q[6];\ncry(-0.0271) q[4], q[1];\ncry(0.0704) q[0], q[1];\nry(-0.0223) q[0];\ncry(0.0551) q[8], q[0];\ncry(-0.0225) q[3], q[1];\ncry(0.0374) q[3], q[7];\ncry(-0.0314) q[5], q[1];\ncry(0.044) q[0], q[8];\ncry(0.0176) q[2], q[7];\ncry(-0.0173) q[2], q[1];\ncry(0.0123) q[5], q[7];\nry(-0.0112) q[1];\ncry(0.0119) q[3], q[2];\ncry(0.0136) q[7], q[3];\ncry(0.0102) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":96400,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.0342) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.0342) q[5];\\nry(0.6657) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.0342) q[5];\\nry(0.6657) q[2];\\ncry(-1.037) q[7], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.0342) q[5];\\nry(0.6657) q[2];\\ncry(-1.037) q[7], q[8];\\ncry(0.7283) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.0342) q[5];\\nry(0.6657) q[2];\\ncry(-1.037) q[7], q[8];\\ncry(0.7283) q[5], q[2];\\ncry(0.4059) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.0342) q[5];\\nry(0.6657) q[2];\\ncry(-1.037) q[7], q[8];\\ncry(0.7283) q[5], q[2];\\ncry(0.4059) q[2], q[5];\\ncry(-0.4638) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.0342) q[5];\\nry(0.6657) q[2];\\ncry(-1.037) q[7], q[8];\\ncry(0.7283) q[5], q[2];\\ncry(0.4059) q[2], q[5];\\ncry(-0.4638) q[8], q[7];\\ncry(-0.5654) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.0342) q[5];\\nry(0.6657) q[2];\\ncry(-1.037) q[7], q[8];\\ncry(0.7283) q[5], q[2];\\ncry(0.4059) q[2], q[5];\\ncry(-0.4638) q[8], q[7];\\ncry(-0.5654) q[6], q[0];\\nry(0.8039) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.0342) q[5];\\nry(0.6657) q[2];\\ncry(-1.037) q[7], q[8];\\ncry(0.7283) q[5], q[2];\\ncry(0.4059) q[2], q[5];\\ncry(-0.4638) q[8], q[7];\\ncry(-0.5654) q[6], q[0];\\nry(0.8039) q[3];\\ncry(-0.8766) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = mea"}}]
["b993a5a7e57c18bd4205eb03339dcbdb","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}]}","{\"states\": [359, 355], \"expectation_value\": -6.089491235992701, \"params\": [-0.44830000000000003, -0.001, 0.3629, 0.0097, 0.49250000000000005, 0.0027, -0.4001, 0.0049, 0.6881, 0.0036000000000000003, -0.6814, 0.0054, 0.8086, -0.0019, 0.8043, 0.0068000000000000005, 0.4169, -0.006200000000000001, -0.2838, 0.0046, 0.8076, -0.0037, 0.7986000000000001, 0.0088, 0.8082, -0.0008, 0.8, 0.005200000000000001, 0.7959, 0.0063, 0.7949, 0.0089, 0.8051, -0.0031000000000000003, 0.7981, 0.0079, 0.7961, 0.0024000000000000002, 0.7914, 0.009600000000000001, 0.8005, 0.0017000000000000001, 0.7973, 0.0073, 0.8028000000000001, 0.002, 0.7983, 0.0081, 0.042300000000000004, -0.053500000000000006, 0.2212, 0.5692, -0.0599, 0.5219, 0.0504, -0.31720000000000004, -0.3629, -0.1308, 0.3809, 0.383], \"bitstrings\": [\"111010011000\", \"111010011100\"], \"total_optimization_steps\": 80, \"probabilities\": [0.08846931223105477, 0.12772445942192998], \"optimization_time\": 300.61879205703735}","0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(3)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + 0.33333333333333337 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 1.5 * Z(9) + 1.5 * Z(5) + 1.5 * Z(6) + 1.0 * Z(3) + -1.5 * Z(4) + 2.5 * Z(10) + 2.5 * Z(11) + -1.333333333333333 * Z(0) + -1.333333333333333 * Z(1) + 1.0 * Z(7) + 1.0 * Z(8) + -0.16666666666666666 * Z(2)",6,12,1,"{\"smallest_eigenvalues\": [-9.999999999999998, -9.999999999999998], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -9.666666666666666, \"smallest_bitstrings\": [\"111010011100\", \"111000011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(-0.4483) q[0];\nrz(-0.001) q[0];\nrx(0.4925) q[1];\nrz(0.0027) q[1];\nrx(0.6881) q[2];\nrz(0.0036) q[2];\nrx(0.8086) q[3];\nrz(-0.0019) q[3];\nrx(0.4169) q[4];\nrz(-0.0062) q[4];\nrx(0.8076) q[5];\nrz(-0.0037) q[5];\nrx(0.8082) q[6];\nrz(-0.0008) q[6];\nrx(0.7959) q[7];\nrz(0.0063) q[7];\nrx(0.8051) q[8];\nrz(-0.0031) q[8];\nrx(0.7961) q[9];\nrz(0.0024) q[9];\nrx(0.8005) q[10];\nrz(0.0017) q[10];\nrx(0.8028) q[11];\nrz(0.002) q[11];\ncrx(0.3809) q[11], q[10];\ncrx(-0.1308) q[11], q[9];\ncrx(-0.3629) q[11], q[8];\ncrx(-0.3172) q[11], q[7];\ncrx(0.0504) q[11], q[6];\ncrx(0.5219) q[11], q[5];\ncrx(-0.0599) q[11], q[4];\ncrx(0.5692) q[11], q[3];\ncrx(0.2212) q[11], q[2];\ncrx(-0.0535) q[11], q[1];\ncrx(0.0423) q[11], q[0];\ncrx(0.383) q[10], q[11];\ncrx(-0.1308) q[10], q[9];\ncrx(-0.3629) q[10], q[8];\ncrx(-0.3172) q[10], q[7];\ncrx(0.0504) q[10], q[6];\ncrx(0.5219) q[10], q[5];\ncrx(-0.0599) q[10], q[4];\ncrx(0.5692) q[10], q[3];\ncrx(0.2212) q[10], q[2];\ncrx(-0.0535) q[10], q[1];\ncrx(0.0423) q[10], q[0];\ncrx(0.383) q[9], q[11];\ncrx(0.3809) q[9], q[10];\ncrx(-0.3629) q[9], q[8];\ncrx(-0.3172) q[9], q[7];\ncrx(0.0504) q[9], q[6];\ncrx(0.5219) q[9], q[5];\ncrx(-0.0599) q[9], q[4];\ncrx(0.5692) q[9], q[3];\ncrx(0.2212) q[9], q[2];\ncrx(-0.0535) q[9], q[1];\ncrx(0.0423) q[9], q[0];\ncrx(0.383) q[8], q[11];\ncrx(0.3809) q[8], q[10];\ncrx(-0.1308) q[8], q[9];\ncrx(-0.3172) q[8], q[7];\ncrx(0.0504) q[8], q[6];\ncrx(0.5219) q[8], q[5];\ncrx(-0.0599) q[8], q[4];\ncrx(0.5692) q[8], q[3];\ncrx(0.2212) q[8], q[2];\ncrx(-0.0535) q[8], q[1];\ncrx(0.0423) q[8], q[0];\ncrx(0.383) q[7], q[11];\ncrx(0.3809) q[7], q[10];\ncrx(-0.1308) q[7], q[9];\ncrx(-0.3629) q[7], q[8];\ncrx(0.0504) q[7], q[6];\ncrx(0.5219) q[7], q[5];\ncrx(-0.0599) q[7], q[4];\ncrx(0.5692) q[7], q[3];\ncrx(0.2212) q[7], q[2];\ncrx(-0.0535) q[7], q[1];\ncrx(0.0423) q[7], q[0];\ncrx(0.383) q[6], q[11];\ncrx(0.3809) q[6], q[10];\ncrx(-0.1308) q[6], q[9];\ncrx(-0.3629) q[6], q[8];\ncrx(-0.3172) q[6], q[7];\ncrx(0.5219) q[6], q[5];\ncrx(-0.0599) q[6], q[4];\ncrx(0.5692) q[6], q[3];\ncrx(0.2212) q[6], q[2];\ncrx(-0.0535) q[6], q[1];\ncrx(0.0423) q[6], q[0];\ncrx(0.383) q[5], q[11];\ncrx(0.3809) q[5], q[10];\ncrx(-0.1308) q[5], q[9];\ncrx(-0.3629) q[5], q[8];\ncrx(-0.3172) q[5], q[7];\ncrx(0.0504) q[5], q[6];\ncrx(-0.0599) q[5], q[4];\ncrx(0.5692) q[5], q[3];\ncrx(0.2212) q[5], q[2];\ncrx(-0.0535) q[5], q[1];\ncrx(0.0423) q[5], q[0];\ncrx(0.383) q[4], q[11];\ncrx(0.3809) q[4], q[10];\ncrx(-0.1308) q[4], q[9];\ncrx(-0.3629) q[4], q[8];\ncrx(-0.3172) q[4], q[7];\ncrx(0.0504) q[4], q[6];\ncrx(0.5219) q[4], q[5];\ncrx(0.5692) q[4], q[3];\ncrx(0.2212) q[4], q[2];\ncrx(-0.0535) q[4], q[1];\ncrx(0.0423) q[4], q[0];\ncrx(0.383) q[3], q[11];\ncrx(0.3809) q[3], q[10];\ncrx(-0.1308) q[3], q[9];\ncrx(-0.3629) q[3], q[8];\ncrx(-0.3172) q[3], q[7];\ncrx(0.0504) q[3], q[6];\ncrx(0.5219) q[3], q[5];\ncrx(-0.0599) q[3], q[4];\ncrx(0.2212) q[3], q[2];\ncrx(-0.0535) q[3], q[1];\ncrx(0.0423) q[3], q[0];\ncrx(0.383) q[2], q[11];\ncrx(0.3809) q[2], q[10];\ncrx(-0.1308) q[2], q[9];\ncrx(-0.3629) q[2], q[8];\ncrx(-0.3172) q[2], q[7];\ncrx(0.0504) q[2], q[6];\ncrx(0.5219) q[2], q[5];\ncrx(-0.0599) q[2], q[4];\ncrx(0.5692) q[2], q[3];\ncrx(-0.0535) q[2], q[1];\ncrx(0.0423) q[2], q[0];\ncrx(0.383) q[1], q[11];\ncrx(0.3809) q[1], q[10];\ncrx(-0.1308) q[1], q[9];\ncrx(-0.3629) q[1], q[8];\ncrx(-0.3172) q[1], q[7];\ncrx(0.0504) q[1], q[6];\ncrx(0.5219) q[1], q[5];\ncrx(-0.0599) q[1], q[4];\ncrx(0.5692) q[1], q[3];\ncrx(0.2212) q[1], q[2];\ncrx(0.0423) q[1], q[0];\ncrx(0.383) q[0], q[11];\ncrx(0.3809) q[0], q[10];\ncrx(-0.1308) q[0], q[9];\ncrx(-0.3629) q[0], q[8];\ncrx(-0.3172) q[0], q[7];\ncrx(0.0504) q[0], q[6];\ncrx(0.5219) q[0], q[5];\ncrx(-0.0599) q[0], q[4];\ncrx(0.5692) q[0], q[3];\ncrx(0.2212) q[0], q[2];\ncrx(-0.0535) q[0], q[1];\nrx(0.3629) q[0];\nrz(0.0097) q[0];\nrx(-0.4001) q[1];\nrz(0.0049) q[1];\nrx(-0.6814) q[2];\nrz(0.0054) q[2];\nrx(0.8043) q[3];\nrz(0.0068) q[3];\nrx(-0.2838) q[4];\nrz(0.0046) q[4];\nrx(0.7986) q[5];\nrz(0.0088) q[5];\nrx(0.8) q[6];\nrz(0.0052) q[6];\nrx(0.7949) q[7];\nrz(0.0089) q[7];\nrx(0.7981) q[8];\nrz(0.0079) q[8];\nrx(0.7914) q[9];\nrz(0.0096) q[9];\nrx(0.7973) q[10];\nrz(0.0073) q[10];\nrx(0.7983) q[11];\nrz(0.0081) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrx(x24) q[11], q[10];\ncrx(x25) q[11], q[9];\ncrx(x26) q[11], q[8];\ncrx(x27) q[11], q[7];\ncrx(x28) q[11], q[6];\ncrx(x29) q[11], q[5];\ncrx(x30) q[11], q[4];\ncrx(x31) q[11], q[3];\ncrx(x32) q[11], q[2];\ncrx(x33) q[11], q[1];\ncrx(x34) q[11], q[0];\ncrx(x35) q[10], q[11];\ncrx(x25) q[10], q[9];\ncrx(x26) q[10], q[8];\ncrx(x27) q[10], q[7];\ncrx(x28) q[10], q[6];\ncrx(x29) q[10], q[5];\ncrx(x30) q[10], q[4];\ncrx(x31) q[10], q[3];\ncrx(x32) q[10], q[2];\ncrx(x33) q[10], q[1];\ncrx(x34) q[10], q[0];\ncrx(x35) q[9], q[11];\ncrx(x24) q[9], q[10];\ncrx(x26) q[9], q[8];\ncrx(x27) q[9], q[7];\ncrx(x28) q[9], q[6];\ncrx(x29) q[9], q[5];\ncrx(x30) q[9], q[4];\ncrx(x31) q[9], q[3];\ncrx(x32) q[9], q[2];\ncrx(x33) q[9], q[1];\ncrx(x34) q[9], q[0];\ncrx(x35) q[8], q[11];\ncrx(x24) q[8], q[10];\ncrx(x25) q[8], q[9];\ncrx(x27) q[8], q[7];\ncrx(x28) q[8], q[6];\ncrx(x29) q[8], q[5];\ncrx(x30) q[8], q[4];\ncrx(x31) q[8], q[3];\ncrx(x32) q[8], q[2];\ncrx(x33) q[8], q[1];\ncrx(x34) q[8], q[0];\ncrx(x35) q[7], q[11];\ncrx(x24) q[7], q[10];\ncrx(x25) q[7], q[9];\ncrx(x26) q[7], q[8];\ncrx(x28) q[7], q[6];\ncrx(x29) q[7], q[5];\ncrx(x30) q[7], q[4];\ncrx(x31) q[7], q[3];\ncrx(x32) q[7], q[2];\ncrx(x33) q[7], q[1];\ncrx(x34) q[7], q[0];\ncrx(x35) q[6], q[11];\ncrx(x24) q[6], q[10];\ncrx(x25) q[6], q[9];\ncrx(x26) q[6], q[8];\ncrx(x27) q[6], q[7];\ncrx(x29) q[6], q[5];\ncrx(x30) q[6], q[4];\ncrx(x31) q[6], q[3];\ncrx(x32) q[6], q[2];\ncrx(x33) q[6], q[1];\ncrx(x34) q[6], q[0];\ncrx(x35) q[5], q[11];\ncrx(x24) q[5], q[10];\ncrx(x25) q[5], q[9];\ncrx(x26) q[5], q[8];\ncrx(x27) q[5], q[7];\ncrx(x28) q[5], q[6];\ncrx(x30) q[5], q[4];\ncrx(x31) q[5], q[3];\ncrx(x32) q[5], q[2];\ncrx(x33) q[5], q[1];\ncrx(x34) q[5], q[0];\ncrx(x35) q[4], q[11];\ncrx(x24) q[4], q[10];\ncrx(x25) q[4], q[9];\ncrx(x26) q[4], q[8];\ncrx(x27) q[4], q[7];\ncrx(x28) q[4], q[6];\ncrx(x29) q[4], q[5];\ncrx(x31) q[4], q[3];\ncrx(x32) q[4], q[2];\ncrx(x33) q[4], q[1];\ncrx(x34) q[4], q[0];\ncrx(x35) q[3], q[11];\ncrx(x24) q[3], q[10];\ncrx(x25) q[3], q[9];\ncrx(x26) q[3], q[8];\ncrx(x27) q[3], q[7];\ncrx(x28) q[3], q[6];\ncrx(x29) q[3], q[5];\ncrx(x30) q[3], q[4];\ncrx(x32) q[3], q[2];\ncrx(x33) q[3], q[1];\ncrx(x34) q[3], q[0];\ncrx(x35) q[2], q[11];\ncrx(x24) q[2], q[10];\ncrx(x25) q[2], q[9];\ncrx(x26) q[2], q[8];\ncrx(x27) q[2], q[7];\ncrx(x28) q[2], q[6];\ncrx(x29) q[2], q[5];\ncrx(x30) q[2], q[4];\ncrx(x31) q[2], q[3];\ncrx(x33) q[2], q[1];\ncrx(x34) q[2], q[0];\ncrx(x35) q[1], q[11];\ncrx(x24) q[1], q[10];\ncrx(x25) q[1], q[9];\ncrx(x26) q[1], q[8];\ncrx(x27) q[1], q[7];\ncrx(x28) q[1], q[6];\ncrx(x29) q[1], q[5];\ncrx(x30) q[1], q[4];\ncrx(x31) q[1], q[3];\ncrx(x32) q[1], q[2];\ncrx(x34) q[1], q[0];\ncrx(x35) q[0], q[11];\ncrx(x24) q[0], q[10];\ncrx(x25) q[0], q[9];\ncrx(x26) q[0], q[8];\ncrx(x27) q[0], q[7];\ncrx(x28) q[0], q[6];\ncrx(x29) q[0], q[5];\ncrx(x30) q[0], q[4];\ncrx(x31) q[0], q[3];\ncrx(x32) q[0], q[2];\ncrx(x33) q[0], q[1];\nrx(x36) q[0];\nrz(x37) q[0];\nrx(x38) q[1];\nrz(x39) q[1];\nrx(x40) q[2];\nrz(x41) q[2];\nrx(x42) q[3];\nrz(x43) q[3];\nrx(x44) q[4];\nrz(x45) q[4];\nrx(x46) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\nrx(x50) q[7];\nrz(x51) q[7];\nrx(x52) q[8];\nrz(x53) q[8];\nrx(x54) q[9];\nrz(x55) q[9];\nrx(x56) q[10];\nrz(x57) q[10];\nrx(x58) q[11];\nrz(x59) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["-3186683080804824916","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[0, 4, 5, 6, 7, 8, 9], [1, 2, 3, 5, 6, 8], [0, 2, 3, 4, 6, 7, 8], [9, 2, 4, 7], [1, 2, 5, 8, 9], [1, 4, 5], [0, 1, 4, 7, 8, 9], [0, 1, 2, 3, 4, 6, 7], [3, 4, 5, 6, 9], [8, 9, 2, 7]]}","{\"states\": [1003, 939], \"expectation_value\": -2.0696943197120055, \"params\": [[[2.3842000000000003, 0.8108000000000001, 0.0026000000000000003, 0.0095], [-0.0025, -0.8099000000000001, -0.0025, 0.0023], [1.568, 0.0023, 1.5683, 0.0047], [1.473, -0.45020000000000004, 0.274, 0.0039000000000000003], [1.5682, 0.0023, 1.5735000000000001, 0.004200000000000001], [1.9432, -0.002, 1.1942000000000002, 0.009000000000000001], [1.5678, -0.0031000000000000003, 1.5735000000000001, 0.0026000000000000003], [1.9038000000000002, -0.0031000000000000003, 1.2316, 0.0033], [1.5730000000000002, -0.0026000000000000003, 1.5695000000000001, 0.0011], [2.3988, 0.0026000000000000003, 0.0023, 0.0071]]], \"bitstrings\": [\"0000010100\", \"0001010100\"], \"total_optimization_steps\": 240, \"probabilities\": [0.31914334098128216, 0.4304369924255643], \"optimization_time\": 35.170440912246704}","0.10476190476190475 * (Z(0) @ Z(4)) + 0.24047619047619045 * (Z(5) @ Z(4)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.12142857142857143 * (Z(6) @ Z(4)) + 0.07142857142857142 * (Z(6) @ Z(0)) + 0.10714285714285715 * (Z(6) @ Z(5)) + 0.18809523809523807 * (Z(7) @ Z(4)) + 0.10476190476190475 * (Z(7) @ Z(0)) + 0.023809523809523808 * (Z(7) @ Z(5)) + 0.07142857142857142 * (Z(7) @ Z(6)) + 0.08095238095238094 * (Z(8) @ Z(4)) + 0.08095238095238094 * (Z(8) @ Z(0)) + 0.10714285714285715 * (Z(8) @ Z(5)) + 0.08095238095238094 * (Z(8) @ Z(6)) + 0.16428571428571426 * (Z(8) @ Z(7)) + 0.19047619047619047 * (Z(9) @ Z(4)) + 0.05714285714285714 * (Z(9) @ Z(0)) + 0.12380952380952381 * (Z(9) @ Z(5)) + 0.07380952380952381 * (Z(9) @ Z(6)) + 0.2238095238095238 * (Z(9) @ Z(7)) + 0.19047619047619047 * (Z(9) @ Z(8)) + 0.2238095238095238 * (Z(1) @ Z(4)) + 0.05714285714285714 * (Z(1) @ Z(0)) + 0.25 * (Z(1) @ Z(5)) + 0.05714285714285714 * (Z(1) @ Z(6)) + 0.05714285714285714 * (Z(1) @ Z(7)) + 0.11666666666666667 * (Z(1) @ Z(8)) + 0.08333333333333334 * (Z(1) @ Z(9)) + 0.13095238095238093 * (Z(2) @ Z(4)) + 0.047619047619047616 * (Z(2) @ Z(0)) + 0.08333333333333334 * (Z(2) @ Z(5)) + 0.08095238095238094 * (Z(2) @ Z(6)) + 0.21428571428571425 * (Z(2) @ Z(7)) + 0.19047619047619047 * (Z(2) @ Z(8)) + 0.21666666666666667 * (Z(2) @ Z(9)) + 0.10714285714285715 * (Z(2) @ Z(1)) + 0.09761904761904762 * (Z(3) @ Z(4)) + 0.047619047619047616 * (Z(3) @ Z(0)) + 0.08333333333333334 * (Z(3) @ Z(5)) + 0.13095238095238093 * (Z(3) @ Z(6)) + 0.047619047619047616 * (Z(3) @ Z(7)) + 0.05714285714285714 * (Z(3) @ Z(8)) + 0.05 * (Z(3) @ Z(9)) + 0.05714285714285714 * (Z(3) @ Z(1)) + 0.08095238095238094 * (Z(3) @ Z(2)) + 0.6892857142857143 * Z(4) + 0.2976190476190478 * Z(0) + 0.5214285714285716 * Z(5) + 0.39761904761904765 * Z(6) + 0.5476190476190476 * Z(7) + 0.5345238095238095 * Z(8) + 0.604761904761905 * Z(9) + 0.504761904761905 * Z(1) + 0.5761904761904761 * Z(2) + 0.3261904761904761 * Z(3)",11,10,1,"{\"smallest_eigenvalues\": [-2.1714285714285717, -2.1714285714285717], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.157142857142858, \"smallest_bitstrings\": [\"0001010100\", \"1010010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(2.3842) q[0];\nrz(0.8108) q[0];\nry(-0.0025) q[1];\nrz(-0.8099) q[1];\nry(1.568) q[2];\nrz(0.0023) q[2];\nry(1.473) q[3];\nrz(-0.4502) q[3];\nry(1.5682) q[4];\nrz(0.0023) q[4];\nry(1.9432) q[5];\nrz(-0.002) q[5];\nry(1.5678) q[6];\nrz(-0.0031) q[6];\nry(1.9038) q[7];\nrz(-0.0031) q[7];\nry(1.573) q[8];\nrz(-0.0026) q[8];\nry(2.3988) q[9];\nrz(0.0026) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(-0.0025) q[1];\nrz(0.0023) q[1];\nry(1.5683) q[2];\nrz(0.0047) q[2];\ncx q[2], q[1];\nry(0.274) q[3];\nrz(0.0039) q[3];\nry(1.5735) q[4];\nrz(0.0042) q[4];\ncx q[4], q[3];\nry(1.1942) q[5];\nrz(0.009) q[5];\nry(1.5735) q[6];\nrz(0.0026) q[6];\ncx q[6], q[5];\nry(1.2316) q[7];\nrz(0.0033) q[7];\nry(1.5695) q[8];\nrz(0.0011) q[8];\ncx q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x5) q[4];\nry(x9) q[5];\nrz(x10) q[5];\nry(x11) q[6];\nrz(x12) q[6];\nry(x13) q[7];\nrz(x12) q[7];\nry(x14) q[8];\nrz(x15) q[8];\nry(x16) q[9];\nrz(x17) q[9];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\ncx q[9], q[8];\nry(x2) q[1];\nrz(x5) q[1];\nry(x18) q[2];\nrz(x19) q[2];\ncx q[2], q[1];\nry(x20) q[3];\nrz(x21) q[3];\nry(x22) q[4];\nrz(x23) q[4];\ncx q[4], q[3];\nry(x24) q[5];\nrz(x25) q[5];\nry(x22) q[6];\nrz(x17) q[6];\ncx q[6], q[5];\nry(x26) q[7];\nrz(x27) q[7];\nry(x28) q[8];\nrz(x29) q[8];\ncx q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["-5863800654377472865","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 7], [8, 0, 3], [8, 2, 7], [8, 5], [8, 3, 6], [1, 2], [3, 5, 6, 7], [3, 4, 6], [0, 6, 7], [0, 3, 6]]}","{\"states\": [371, 378], \"expectation_value\": -3.333565016431522, \"params\": null, \"bitstrings\": [\"010001100\", \"010000101\"], \"total_optimization_steps\": 68, \"probabilities\": [0.07367030076991843, 0.8643302938502379], \"optimization_time\": 106.61919832229614}","0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.5833333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.45833333333333326 * Z(7) + 0.0 * Z(1) + 0.5000000000000001 * Z(8) + 0.5 * Z(0) + 0.7916666666666666 * Z(3) + 0.16666666666666663 * Z(2) + 0.1250000000000001 * Z(5) + 0.7916666666666667 * Z(6) + 0.16666666666666666 * Z(4)",1,9,1,"{\"smallest_eigenvalues\": [-3.4166666666666656], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.1666666666666665, \"smallest_bitstrings\": [\"010000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5547) q[3];\nry(1.3016) q[7];\ncry(-1.4375) q[7], q[1];\nry(1.4389) q[2];\ncry(-1.2219) q[5], q[8];\nry(0.6938) q[5];\ncry(-0.4752) q[3], q[8];\ncry(0.5112) q[3], q[5];\nry(-0.3059) q[8];\ncry(0.7041) q[5], q[0];\ncry(-0.9714) q[0], q[6];\nry(0.5242) q[0];\ncry(-0.4803) q[7], q[6];\ncry(0.6913) q[0], q[4];\ncry(0.179) q[3], q[7];\ncry(-0.1486) q[3], q[1];\ncry(0.236) q[2], q[5];\nry(0.4382) q[4];\ncry(0.2004) q[3], q[0];\ncry(-0.2433) q[4], q[6];\ncry(0.128) q[3], q[2];\ncry(-0.1156) q[0], q[8];\ncry(0.2322) q[2], q[4];\ncry(0.0665) q[7], q[5];\ncry(0.0697) q[2], q[0];\ncry(0.1069) q[3], q[4];\ncry(-0.0414) q[3], q[6];\ncry(-0.0259) q[7], q[8];\ncry(0.0508) q[7], q[4];\ncry(0.0191) q[2], q[7];\ncry(0.0154) q[2], q[3];\ncry(0.018) q[0], q[5];\ncry(-0.0018) q[2], q[1];\ncry(-0.0079) q[4], q[8];\ncry(0.0159) q[7], q[0];\ncry(0.0298) q[8], q[0];\ncry(-0.01) q[2], q[6];\ncry(0.019) q[5], q[4];\ncry(-0.024) q[6], q[4];\ncry(-0.0192) q[8], q[6];\ncry(-0.0186) q[8], q[5];\ncry(-0.0003) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":70155,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5547) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5547) q[3];\\nry(1.3016) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5547) q[3];\\nry(1.3016) q[7];\\ncry(-1.4375) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5547) q[3];\\nry(1.3016) q[7];\\ncry(-1.4375) q[7], q[1];\\nry(1.4389) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5547) q[3];\\nry(1.3016) q[7];\\ncry(-1.4375) q[7], q[1];\\nry(1.4389) q[2];\\ncry(-1.2219) q[5], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5547) q[3];\\nry(1.3016) q[7];\\ncry(-1.4375) q[7], q[1];\\nry(1.4389) q[2];\\ncry(-1.2219) q[5], q[8];\\nry(0.6938) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5547) q[3];\\nry(1.3016) q[7];\\ncry(-1.4375) q[7], q[1];\\nry(1.4389) q[2];\\ncry(-1.2219) q[5], q[8];\\nry(0.6938) q[5];\\ncry(-0.4752) q[3], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5547) q[3];\\nry(1.3016) q[7];\\ncry(-1.4375) q[7], q[1];\\nry(1.4389) q[2];\\ncry(-1.2219) q[5], q[8];\\nry(0.6938) q[5];\\ncry(-0.4752) q[3], q[8];\\ncry(0.5112) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5547) q[3];\\nry(1.3016) q[7];\\ncry(-1.4375) q[7], q[1];\\nry(1.4389) q[2];\\ncry(-1.2219) q[5], q[8];\\nry(0.6938) q[5];\\ncry(-0.4752) q[3], q[8];\\ncry(0.5112) q[3], q[5];\\nry(-0.3059) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\"}}]
["5e1f1e75ba04327de43b1491321a7511","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 6, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 6, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 3, \"target\": 7}, {\"capacity\": 6, \"source\": 4, \"target\": 5}, {\"capacity\": 7, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 7}]}","{\"states\": [129, 1], \"expectation_value\": -11.430586736234044, \"params\": null, \"bitstrings\": [\"01111110\", \"11111110\"], \"total_optimization_steps\": 29, \"probabilities\": [0.34605958487624006, 0.38668553381417664], \"optimization_time\": 26.318050861358643}","-0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(2) + 0.75 * Z(4) + 2.5 * Z(7) + -2.25 * Z(3) + -0.5 * Z(6) + -0.5 * Z(5)",1,8,3,"{\"smallest_eigenvalues\": [-16.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.25, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nry(-1.5577) q[0];\nry(-1.5708) q[3];\nry(-1.5708) q[2];\nry(-1.5709) q[5];\nry(-1.5708) q[4];\ncry(1.4449) q[1], q[6];\nry(-0.7083) q[6];\nry(-0.4951) q[1];\ncry(-0.6921) q[7], q[6];\ncry(-0.6009) q[7], q[1];\ncry(0.5691) q[6], q[1];\ncry(1.5022) q[7], q[0];\ncry(-1.5153) q[6], q[0];\ncry(-0.011) q[1], q[0];\ncry(-0.0011) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 7}",{"$cut":{"chars":16749,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5577) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5577) q[0];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5577) q[0];\\nry(-1.5708) q[3];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5577) q[0];\\nry(-1.5708) q[3];\\nry(-1.5708) q[2];\\nry(-1.5709) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5577) q[0];\\nry(-1.5708) q[3];\\nry(-1.5708) q[2];\\nry(-1.5709) q[5];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5577) q[0];\\nry(-1.5708) q[3];\\nry(-1.5708) q[2];\\nry(-1.5709) q[5];\\nry(-1.5708) q[4];\\ncry(1.4449) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5577) q[0];\\nry(-1.5708) q[3];\\nry(-1.5708) q[2];\\nry(-1.5709) q[5];\\nry(-1.5708) q[4];\\ncry(1.4449) q[1], q[6];\\nry(-0.7083) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5577) q[0];\\nry(-1.5708) q[3];\\nry(-1.5708) q[2];\\nry(-1.5709) q[5];\\nry(-1.5708) q[4];\\ncry(1.4449) q[1], q[6];\\nry(-0.7083) q[6];\\nry(-0.4951) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5577) q[0];\\nry(-1.5708) q[3];\\nry(-1.5708) q[2];\\nry(-1.5709) q[5];\\nry(-1.5708) q[4];\\ncry(1.4449) q[1], q[6];\\nry(-0.7083) q[6];\\nry(-0.4951) q[1];\\ncry(-0.6921) q[7], q[6];\\nc[0] = measure "}}]
["9b6c90aee56ab84919f7c826e678a024","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [9, 28], \"expectation_value\": -1.0184924796813783, \"params\": [[0.07590000000000001, 0.0745, 0.0687, 0.0631], [-0.0833, -0.0814, -0.0722, -0.0639]], \"bitstrings\": [\"10110\", \"00011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.05574629770498392, 0.06557427372974345], \"optimization_time\": 3.807351589202881}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2)",1,5,4,"{\"smallest_eigenvalues\": [-3.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"00011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[3], q[0];\nrz(0.0759) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.0759) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0759) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(0.0759) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(0.0759) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0759) q[2];\ncx q[4], q[2];\nrz(-0.2277) q[3];\nrz(-0.0759) q[0];\nrz(-0.1518) q[4];\nrz(0) q[1];\nrz(-0.0759) q[2];\nh q[0];\nrz(-0.1666) q[0];\nh q[0];\nh q[1];\nrz(-0.1666) q[1];\nh q[1];\nh q[2];\nrz(-0.1666) q[2];\nh q[2];\nh q[3];\nrz(-0.1666) q[3];\nh q[3];\nh q[4];\nrz(-0.1666) q[4];\nh q[4];\ncx q[3], q[0];\nrz(0.0745) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.0745) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0745) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(0.0745) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(0.0745) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0745) q[2];\ncx q[4], q[2];\nrz(-0.2235) q[3];\nrz(-0.0745) q[0];\nrz(-0.149) q[4];\nrz(0) q[1];\nrz(-0.0745) q[2];\nh q[0];\nrz(-0.1628) q[0];\nh q[0];\nh q[1];\nrz(-0.1628) q[1];\nh q[1];\nh q[2];\nrz(-0.1628) q[2];\nh q[2];\nh q[3];\nrz(-0.1628) q[3];\nh q[3];\nh q[4];\nrz(-0.1628) q[4];\nh q[4];\ncx q[3], q[0];\nrz(0.0687) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.0687) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0687) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(0.0687) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(0.0687) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0687) q[2];\ncx q[4], q[2];\nrz(-0.2061) q[3];\nrz(-0.0687) q[0];\nrz(-0.1374) q[4];\nrz(0) q[1];\nrz(-0.0687) q[2];\nh q[0];\nrz(-0.1444) q[0];\nh q[0];\nh q[1];\nrz(-0.1444) q[1];\nh q[1];\nh q[2];\nrz(-0.1444) q[2];\nh q[2];\nh q[3];\nrz(-0.1444) q[3];\nh q[3];\nh q[4];\nrz(-0.1444) q[4];\nh q[4];\ncx q[3], q[0];\nrz(0.0631) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(0.0631) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(0.0631) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(0.0631) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(0.0631) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0631) q[2];\ncx q[4], q[2];\nrz(-0.1893) q[3];\nrz(-0.0631) q[0];\nrz(-0.1262) q[4];\nrz(0) q[1];\nrz(-0.0631) q[2];\nh q[0];\nrz(-0.1278) q[0];\nh q[0];\nh q[1];\nrz(-0.1278) q[1];\nh q[1];\nh q[2];\nrz(-0.1278) q[2];\nh q[2];\nh q[3];\nrz(-0.1278) q[3];\nh q[3];\nh q[4];\nrz(-0.1278) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x3) q[4];\nrz(x4) q[1];\nrz(x2) q[2];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\ncx q[3], q[0];\nrz(x6) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(x6) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x6) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\nrz(x7) q[3];\nrz(x8) q[0];\nrz(x9) q[4];\nrz(x4) q[1];\nrz(x8) q[2];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\ncx q[3], q[0];\nrz(x11) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(x11) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x11) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x11) q[2];\ncx q[4], q[2];\nrz(x12) q[3];\nrz(x13) q[0];\nrz(x14) q[4];\nrz(x4) q[1];\nrz(x13) q[2];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\ncx q[3], q[0];\nrz(x16) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x16) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x16) q[4];\ncx q[0], q[4];\ncx q[3], q[1];\nrz(x16) q[1];\ncx q[3], q[1];\ncx q[3], q[2];\nrz(x16) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x16) q[2];\ncx q[4], q[2];\nrz(x17) q[3];\nrz(x18) q[0];\nrz(x19) q[4];\nrz(x4) q[1];\nrz(x18) q[2];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["c9169fa251f09f6085bc3667dda1197c","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 4}, {\"weight\": 15, \"source\": 0, \"target\": 6}, {\"weight\": 12, \"source\": 0, \"target\": 8}, {\"weight\": 7, \"source\": 1, \"target\": 5}, {\"weight\": 10, \"source\": 2, \"target\": 6}, {\"weight\": 13, \"source\": 2, \"target\": 5}, {\"weight\": 7, \"source\": 3, \"target\": 7}, {\"weight\": 18, \"source\": 3, \"target\": 11}, {\"weight\": 17, \"source\": 3, \"target\": 9}]}","{\"states\": [215, 213], \"expectation_value\": -46.789906747021355, \"params\": [[[0.5804, 0.3995], [0.6023000000000001, 0.5178], [0.5841000000000001, 0.3972], [0.0712, 0.2497], [0.603, 0.3864], [0.1748, 0.4812], [0.547, 0.48810000000000003], [0.1839, 0.4384], [0.18680000000000002, 0.5930000000000001]], [[0.338, 0.1918], [0.6048, 0.162], [0.5984, 0.1892], [0.2016, 0.1373], [0.5987, 0.48250000000000004], [0.1832, 0.5023], [0.42150000000000004, 0.31770000000000004], [-0.0893, 0.3695], [0.1986, 0.4887]], [[0.6017, 0.0148], [0.6022000000000001, 0.0414], [0.6023000000000001, 0.0409], [-0.1521, 0.07780000000000001], [0.5974, 0.39330000000000004], [0.2676, 0.5910000000000001], [0.2833, 0.5198], [0.5945, 0.1632], [0.5932000000000001, 0.1446]], [[0.3257, -0.011300000000000001], [0.6071000000000001, -0.0166], [0.5940000000000001, -0.0119], [-0.20500000000000002, -0.0033], [0.5923, 0.3811], [0.1708, 0.51], [0.5949, 0.5732], [0.5505, 0.02], [0.31070000000000003, 0.5830000000000001]]], \"bitstrings\": [\"100101000\", \"100101010\"], \"total_optimization_steps\": 60, \"probabilities\": [0.10444379408712215, 0.26433300042549746], \"optimization_time\": 38.05472183227539}","6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(6) @ Z(7)) + 0.5 * Z(0) + 6.0 * Z(2) + 14.0 * Z(1) + 6.5 * Z(4) + -3.0 * Z(3) + 5.0 * Z(5) + 8.5 * Z(8) + 3.5 * Z(7) + 9.0 * Z(6)",15,9,4,"{\"smallest_eigenvalues\": [-70.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -60.5, \"smallest_bitstrings\": [\"100101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.5804) q[0];\nry(0.6023) q[1];\nry(0.5841) q[2];\nry(0.0712) q[3];\nry(0.603) q[4];\nry(0.1748) q[5];\nry(0.547) q[6];\nry(0.1839) q[7];\nry(0.1868) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.3995) q[0];\nry(0.5178) q[1];\nry(0.3972) q[2];\nry(0.2497) q[3];\nry(0.3864) q[4];\nry(0.4812) q[5];\nry(0.4881) q[6];\nry(0.4384) q[7];\nry(0.593) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.338) q[0];\nry(0.6048) q[1];\nry(0.5984) q[2];\nry(0.2016) q[3];\nry(0.5987) q[4];\nry(0.1832) q[5];\nry(0.4215) q[6];\nry(-0.0893) q[7];\nry(0.1986) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.1918) q[0];\nry(0.162) q[1];\nry(0.1892) q[2];\nry(0.1373) q[3];\nry(0.4825) q[4];\nry(0.5023) q[5];\nry(0.3177) q[6];\nry(0.3695) q[7];\nry(0.4887) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.6017) q[0];\nry(0.6022) q[1];\nry(0.6023) q[2];\nry(-0.1521) q[3];\nry(0.5974) q[4];\nry(0.2676) q[5];\nry(0.2833) q[6];\nry(0.5945) q[7];\nry(0.5932) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0148) q[0];\nry(0.0414) q[1];\nry(0.0409) q[2];\nry(0.0778) q[3];\nry(0.3933) q[4];\nry(0.591) q[5];\nry(0.5198) q[6];\nry(0.1632) q[7];\nry(0.1446) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.3257) q[0];\nry(0.6071) q[1];\nry(0.594) q[2];\nry(-0.205) q[3];\nry(0.5923) q[4];\nry(0.1708) q[5];\nry(0.5949) q[6];\nry(0.5505) q[7];\nry(0.3107) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0113) q[0];\nry(-0.0166) q[1];\nry(-0.0119) q[2];\nry(-0.0033) q[3];\nry(0.3811) q[4];\nry(0.51) q[5];\nry(0.5732) q[6];\nry(0.02) q[7];\nry(0.583) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x27) q[0];\nry(x28) q[1];\nry(x29) q[2];\nry(x30) q[3];\nry(x31) q[4];\nry(x32) q[5];\nry(x33) q[6];\nry(x34) q[7];\nry(x35) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x36) q[0];\nry(x37) q[1];\nry(x1) q[2];\nry(x38) q[3];\nry(x39) q[4];\nry(x40) q[5];\nry(x41) q[6];\nry(x42) q[7];\nry(x43) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x44) q[0];\nry(x45) q[1];\nry(x46) q[2];\nry(x47) q[3];\nry(x48) q[4];\nry(x49) q[5];\nry(x50) q[6];\nry(x51) q[7];\nry(x52) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x53) q[0];\nry(x54) q[1];\nry(x55) q[2];\nry(x56) q[3];\nry(x57) q[4];\nry(x58) q[5];\nry(x59) q[6];\nry(x60) q[7];\nry(x61) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x62) q[0];\nry(x63) q[1];\nry(x64) q[2];\nry(x65) q[3];\nry(x66) q[4];\nry(x67) q[5];\nry(x68) q[6];\nry(x69) q[7];\nry(x70) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8, 9, 10, 11]}\"}","{\"circuits\": [], \"gradients\": []}"]
["1986855345536807026","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 1], [4, 6, 7], [4, 5], [2, 3, 6]]}","{\"states\": [103, 167], \"expectation_value\": -0.5093441095295477, \"params\": [[0.3398], [-0.338]], \"bitstrings\": [\"10011000\", \"01011000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.009574290835007717, 0.009574290835007717], \"optimization_time\": 1.7693443298339844}","0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.3333333333333333 * Z(6) + 0.16666666666666663 * Z(4) + 0.16666666666666666 * Z(7) + 0.0 * Z(5) + 0.16666666666666666 * Z(2) + 0.16666666666666666 * Z(3)",1,8,1,"{\"smallest_eigenvalues\": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -1.6666666666666663, \"smallest_bitstrings\": [\"10011000\", \"01011000\", \"01101000\", \"10000110\", \"01000110\", \"10101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.3398) q[0];\ncx q[1], q[0];\ncx q[6], q[4];\nrz(0.1133) q[4];\ncx q[6], q[4];\ncx q[6], q[7];\nrz(0.1133) q[7];\ncx q[6], q[7];\ncx q[4], q[7];\nrz(0.1133) q[7];\ncx q[4], q[7];\ncx q[4], q[5];\nrz(0.3398) q[5];\ncx q[4], q[5];\ncx q[6], q[2];\nrz(0.1133) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(0.1133) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(0.1133) q[3];\ncx q[2], q[3];\nrz(0) q[1];\nrz(0) q[0];\nrz(0.2265) q[6];\nrz(0.1133) q[4];\nrz(0.1133) q[7];\nrz(0) q[5];\nrz(0.1133) q[2];\nrz(0.1133) q[3];\nh q[0];\nrz(-0.676) q[0];\nh q[0];\nh q[1];\nrz(-0.676) q[1];\nh q[1];\nh q[2];\nrz(-0.676) q[2];\nh q[2];\nh q[3];\nrz(-0.676) q[3];\nh q[3];\nh q[4];\nrz(-0.676) q[4];\nh q[4];\nh q[5];\nrz(-0.676) q[5];\nh q[5];\nh q[6];\nrz(-0.676) q[6];\nh q[6];\nh q[7];\nrz(-0.676) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[4], q[7];\nrz(x1) q[7];\ncx q[4], q[7];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[6], q[3];\nrz(x1) q[3];\ncx q[6], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x3) q[6];\nrz(x1) q[4];\nrz(x1) q[7];\nrz(x2) q[5];\nrz(x1) q[2];\nrz(x1) q[3];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\nh q[7];\nrz(x4) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["74e5b8afd1f04f850c8f51ecde3fef19","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [6, 18], \"expectation_value\": -3.911631293737013, \"params\": null, \"bitstrings\": [\"111001\", \"101101\"], \"total_optimization_steps\": 18, \"probabilities\": [0.06012645497830037, 0.7888190124886368], \"optimization_time\": 11.94543170928955}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"111100\", \"101101\", \"111001\", \"110011\", \"100111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nry(-1.5681) q[5];\ncry(-1.0343) q[1], q[3];\ncry(-1.0343) q[4], q[2];\nry(0.7003) q[4];\nry(0.7003) q[1];\nry(-0.4549) q[2];\nry(-0.4549) q[3];\ncry(0.4578) q[4], q[1];\ncry(0.4515) q[1], q[4];\ncry(-0.3537) q[1], q[2];\ncry(-0.3472) q[4], q[3];\ncry(0.1049) q[2], q[1];\ncry(0.1015) q[3], q[4];\ncry(-0.099) q[2], q[4];\ncry(-0.0945) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[2];\\ncry(-0.3472) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[2];\\ncry(-0.3472) q[4], q[3];\\ncry(0.1049) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[2];\\ncry(-0.3472) q[4], q[3];\\ncry(0.1049) q[2], q[1];\\ncry(0.1015) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[2];\\ncry(-0.3472) q[4], q[3];\\ncry(0.1049) q[2], q[1];\\ncry(0.1015) q[3], q[4];\\ncry(-0.099) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[2];\\ncry(-0.3472) q[4], q[3];\\ncry(0.1049) q[2], q[1];\\ncry(0.1015) q[3], q[4];\\ncry(-0.099) q[2], q[4];\\ncry(-0.0945) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[2];\\ncry(-0.3472) q[4], q[3];\\ncry(0.1049) q[2], q[1];\\ncry(0.1015) q[3], q[4];\\ncry(-0.099) q[2], q[4];\\ncry(-0.0945) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[0];\\nry(-1.5681) q[5];\\ncry(-1.0343) q[1], q[3];\\ncry(-1.0343) q[4], q[2];\\nry(0.7003) q[4];\\nry(0.7003) q[1];\\nry(-0.4549) q[2];\\nry(-0.4549) q[3];\\ncry(0.4578) q[4], q[1];\\ncry(0.4515) q[1], q[4];\\ncry(-0.3537) q[1], q[2];\\ncry(-0.3472) q[4], q[3];\\ncry(0.1049) q[2], q[1];\\ncry(0.1015) q[3], q[4];\\ncry(-0.099) q[2], q[4];\\ncry(-0.0945) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [2.0112, 1.0052, 0.2506, 0.2506, 0.2461, 0.2457, 0.188, 0.1878, 0.1757, 0.188, 0.1593, 0.1561, 0.0224, 0.0217, 0.0217, 0.0207, 0.0043, 0.0026]}"]
["26ae20390ea3947855f3112b6a50021e","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 8}, {\"source\": 2, \"target\": 9}, {\"source\": 2, \"target\": 10}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 9}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 9}, {\"source\": 4, \"target\": 10}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 8}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 6, \"target\": 9}, {\"source\": 7, \"target\": 9}, {\"source\": 9, \"target\": 10}]}","{\"states\": [1023, 511], \"expectation_value\": -3.8109081980392845, \"params\": [[-0.0449], [0.053200000000000004]], \"bitstrings\": [\"0000000000\", \"1000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00177424084435452, 0.001791234555063235], \"optimization_time\": 1.6754426956176758}","-3.5 * (Z(1) @ Z(3)) + 1.5 * (Z(5) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(5)) + -4.0 * (Z(8) @ Z(3)) + -4.5 * (Z(8) @ Z(1)) + -4.5 * (Z(8) @ Z(5)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(1)) + 1.0 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + -4.0 * (Z(9) @ Z(8)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(5)) + -4.0 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(9)) + -3.5 * (Z(6) @ Z(3)) + 1.5 * (Z(6) @ Z(1)) + -4.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -4.0 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(9)) + -2.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(7)) + -4.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(4) + -0.5 * Z(0)",1,10,1,"{\"smallest_eigenvalues\": [-54.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -53.5, \"smallest_bitstrings\": [\"1000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[1];\nrz(0.3143) q[1];\ncx q[3], q[1];\ncx q[3], q[5];\nrz(-0.1347) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(0.3592) q[5];\ncx q[1], q[5];\ncx q[3], q[7];\nrz(-0.0449) q[7];\ncx q[3], q[7];\ncx q[1], q[7];\nrz(0.3143) q[7];\ncx q[1], q[7];\ncx q[5], q[7];\nrz(0.2694) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(0.3592) q[8];\ncx q[3], q[8];\ncx q[1], q[8];\nrz(0.4041) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(0.4041) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(-0.1347) q[8];\ncx q[7], q[8];\ncx q[3], q[9];\nrz(0.2245) q[9];\ncx q[3], q[9];\ncx q[1], q[9];\nrz(0.2694) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(-0.0898) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(-0.0449) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(0.3592) q[9];\ncx q[8], q[9];\ncx q[3], q[2];\nrz(-0.0898) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.0449) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(-0.0898) q[2];\ncx q[5], q[2];\ncx q[8], q[2];\nrz(0.3592) q[2];\ncx q[8], q[2];\ncx q[9], q[2];\nrz(-0.0449) q[2];\ncx q[9], q[2];\ncx q[3], q[6];\nrz(0.3143) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(-0.1347) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(0.3592) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(-0.0449) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(0.3592) q[6];\ncx q[8], q[6];\ncx q[9], q[6];\nrz(-0.0898) q[6];\ncx q[9], q[6];\ncx q[2], q[6];\nrz(0.2245) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(-0.0449) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(-0.1347) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(0.2694) q[4];\ncx q[5], q[4];\ncx q[7], q[4];\nrz(0.2245) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(0.4041) q[4];\ncx q[8], q[4];\ncx q[9], q[4];\nrz(-0.0449) q[4];\ncx q[9], q[4];\ncx q[2], q[4];\nrz(-0.0449) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(-0.0898) q[4];\ncx q[6], q[4];\nrz(-0.0449) q[3];\nrz(-0.0449) q[1];\nrz(-0.0449) q[5];\nrz(-0.0449) q[7];\nrz(-0.0449) q[8];\nrz(-0.0449) q[9];\nrz(-0.0449) q[2];\nrz(-0.0449) q[6];\nrz(-0.0449) q[4];\nrz(0.0449) q[0];\nh q[0];\nrz(0.1064) q[0];\nh q[0];\nh q[1];\nrz(0.1064) q[1];\nh q[1];\nh q[2];\nrz(0.1064) q[2];\nh q[2];\nh q[3];\nrz(0.1064) q[3];\nh q[3];\nh q[4];\nrz(0.1064) q[4];\nh q[4];\nh q[5];\nrz(0.1064) q[5];\nh q[5];\nh q[6];\nrz(0.1064) q[6];\nh q[6];\nh q[7];\nrz(0.1064) q[7];\nh q[7];\nh q[8];\nrz(0.1064) q[8];\nh q[8];\nh q[9];\nrz(0.1064) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[3], q[7];\nrz(x3) q[7];\ncx q[3], q[7];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[5], q[7];\nrz(x4) q[7];\ncx q[5], q[7];\ncx q[3], q[8];\nrz(x2) q[8];\ncx q[3], q[8];\ncx q[1], q[8];\nrz(x5) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(x5) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x1) q[8];\ncx q[7], q[8];\ncx q[3], q[9];\nrz(x6) q[9];\ncx q[3], q[9];\ncx q[1], q[9];\nrz(x4) q[9];\ncx q[1], q[9];\ncx q[5], q[9];\nrz(x7) q[9];\ncx q[5], q[9];\ncx q[7], q[9];\nrz(x3) q[9];\ncx q[7], q[9];\ncx q[8], q[9];\nrz(x2) q[9];\ncx q[8], q[9];\ncx q[3], q[2];\nrz(x7) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x3) q[2];\ncx q[1], q[2];\ncx q[5], q[2];\nrz(x7) q[2];\ncx q[5], q[2];\ncx q[8], q[2];\nrz(x2) q[2];\ncx q[8], q[2];\ncx q[9], q[2];\nrz(x3) q[2];\ncx q[9], q[2];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x3) q[6];\ncx q[7], q[6];\ncx q[8], q[6];\nrz(x2) q[6];\ncx q[8], q[6];\ncx q[9], q[6];\nrz(x7) q[6];\ncx q[9], q[6];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(x3) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x4) q[4];\ncx q[5], q[4];\ncx q[7], q[4];\nrz(x6) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(x5) q[4];\ncx q[8], q[4];\ncx q[9], q[4];\nrz(x3) q[4];\ncx q[9], q[4];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(x7) q[4];\ncx q[6], q[4];\nrz(x3) q[3];\nrz(x3) q[1];\nrz(x3) q[5];\nrz(x3) q[7];\nrz(x3) q[8];\nrz(x3) q[9];\nrz(x3) q[2];\nrz(x3) q[6];\nrz(x3) q[4];\nrz(x8) q[0];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nh q[9];\nrz(x9) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 0}","{\"circuits\": [], \"gradients\": []}"]
["6bdd98fdc621eb3da82e1da2cf67eefb","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 1, \"source\": 0, \"target\": 9}, {\"capacity\": 4, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 4, \"source\": 1, \"target\": 9}, {\"capacity\": 2, \"source\": 2, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 2, \"target\": 9}, {\"capacity\": 3, \"source\": 2, \"target\": 10}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 5, \"source\": 3, \"target\": 9}, {\"capacity\": 5, \"source\": 4, \"target\": 3}, {\"capacity\": 3, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 9}, {\"capacity\": 2, \"source\": 5, \"target\": 8}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 4, \"source\": 6, \"target\": 3}, {\"capacity\": 4, \"source\": 7, \"target\": 1}, {\"capacity\": 4, \"source\": 7, \"target\": 4}, {\"capacity\": 5, \"source\": 7, \"target\": 6}, {\"capacity\": 3, \"source\": 8, \"target\": 1}, {\"capacity\": 3, \"source\": 8, \"target\": 3}, {\"capacity\": 3, \"source\": 8, \"target\": 4}, {\"capacity\": 2, \"source\": 8, \"target\": 5}, {\"capacity\": 4, \"source\": 8, \"target\": 10}, {\"capacity\": 3, \"source\": 9, \"target\": 1}, {\"capacity\": 4, \"source\": 9, \"target\": 5}, {\"capacity\": 4, \"source\": 9, \"target\": 6}, {\"capacity\": 4, \"source\": 9, \"target\": 8}, {\"capacity\": 2, \"source\": 9, \"target\": 10}]}","{\"states\": [1024, 1023], \"expectation_value\": -26.28422955613992, \"params\": [[[0.0415, -0.0159], [-0.0051, 0.0012000000000000001], [-0.0086, -0.0032], [-0.010400000000000001, 0.002], [-0.0031000000000000003, -0.0031000000000000003], [0.0006000000000000001, -0.003], [-0.0098, -0.0031000000000000003], [0.0001, 0.0024000000000000002], [-0.0064, 0.0088], [-0.0162, -1.0234], [-0.0318, 0.0082]], [[-0.0263, -0.004], [0.0028, 0.004200000000000001], [0.0017000000000000001, -0.0024000000000000002], [-0.004200000000000001, 0.0024000000000000002], [-0.0039000000000000003, -0.0021000000000000003], [-0.0017000000000000001, 0.003], [-0.0054, 0.003], [0.0038, -0.0027], [0.0002, -0.003], [-1.0571000000000002, 0.0057], [0.012100000000000001, 0.0083]], [[-0.0011, -0.0025], [-0.0027, 0.0022], [0.0028, -0.0033], [0.0038, -0.0031000000000000003], [0.0019, -0.0034000000000000002], [-0.0039000000000000003, -0.0034000000000000002], [0.0053, -0.0034000000000000002], [-0.005, -0.003], [-0.0006000000000000001, -0.0026000000000000003], [0.014100000000000001, -0.005], [-1.0648, 0.0224]], [[0.007200000000000001, 1.6501000000000001], [-0.0044, 0.0081], [-0.0064, 0.0026000000000000003], [0.0012000000000000001, -0.002], [-0.0038, 0.0018000000000000002], [-0.0068000000000000005, -0.0029000000000000002], [-0.0004, -0.0029000000000000002], [-0.009300000000000001, 0.0024000000000000002], [-0.0004, 0.003], [-0.0027, 0.0149], [0.026500000000000003, -0.0038]]], \"bitstrings\": [\"01111111111\", \"10000000000\"], \"total_optimization_steps\": 170, \"probabilities\": [0.460114878484117, 0.5394898705393854], \"optimization_time\": 20.931464433670044}","-0.5 * (Z(0) @ Z(8)) + -0.25 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -1.0 * (Z(10) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -0.75 * (Z(1) @ Z(9)) + -1.75 * (Z(1) @ Z(10)) + -1.0 * (Z(3) @ Z(8)) + -0.25 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(10)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(10)) + -0.75 * (Z(6) @ Z(1)) + -1.25 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(5)) + 1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(9)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(7)) + 0.5 * Z(8) + -0.25 * Z(0) + 2.0 * Z(9) + 1.25 * Z(10) + 1.25 * Z(1) + 0.5 * Z(3) + 0.5 * Z(5) + -2.5 * Z(6) + -2.25 * Z(7) + -1.0 * Z(2) + 0.0 * Z(4)",15,11,4,"{\"smallest_eigenvalues\": [-26.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -25.75, \"smallest_bitstrings\": [\"10000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.0415) q[0];\nry(-0.0051) q[1];\nry(-0.0086) q[2];\nry(-0.0104) q[3];\nry(-0.0031) q[4];\nry(0.0006) q[5];\nry(-0.0098) q[6];\nry(0.0001) q[7];\nry(-0.0064) q[8];\nry(-0.0162) q[9];\nry(-0.0318) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0159) q[0];\nry(0.0012) q[1];\nry(-0.0032) q[2];\nry(0.002) q[3];\nry(-0.0031) q[4];\nry(-0.003) q[5];\nry(-0.0031) q[6];\nry(0.0024) q[7];\nry(0.0088) q[8];\nry(-1.0234) q[9];\nry(0.0082) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(-0.0263) q[0];\nry(0.0028) q[1];\nry(0.0017) q[2];\nry(-0.0042) q[3];\nry(-0.0039) q[4];\nry(-0.0017) q[5];\nry(-0.0054) q[6];\nry(0.0038) q[7];\nry(0.0002) q[8];\nry(-1.0571) q[9];\nry(0.0121) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.004) q[0];\nry(0.0042) q[1];\nry(-0.0024) q[2];\nry(0.0024) q[3];\nry(-0.0021) q[4];\nry(0.003) q[5];\nry(0.003) q[6];\nry(-0.0027) q[7];\nry(-0.003) q[8];\nry(0.0057) q[9];\nry(0.0083) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(-0.0011) q[0];\nry(-0.0027) q[1];\nry(0.0028) q[2];\nry(0.0038) q[3];\nry(0.0019) q[4];\nry(-0.0039) q[5];\nry(0.0053) q[6];\nry(-0.005) q[7];\nry(-0.0006) q[8];\nry(0.0141) q[9];\nry(-1.0648) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0025) q[0];\nry(0.0022) q[1];\nry(-0.0033) q[2];\nry(-0.0031) q[3];\nry(-0.0034) q[4];\nry(-0.0034) q[5];\nry(-0.0034) q[6];\nry(-0.003) q[7];\nry(-0.0026) q[8];\nry(-0.005) q[9];\nry(0.0224) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(0.0072) q[0];\nry(-0.0044) q[1];\nry(-0.0064) q[2];\nry(0.0012) q[3];\nry(-0.0038) q[4];\nry(-0.0068) q[5];\nry(-0.0004) q[6];\nry(-0.0093) q[7];\nry(-0.0004) q[8];\nry(-0.0027) q[9];\nry(0.0265) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.6501) q[0];\nry(0.0081) q[1];\nry(0.0026) q[2];\nry(-0.002) q[3];\nry(0.0018) q[4];\nry(-0.0029) q[5];\nry(-0.0029) q[6];\nry(0.0024) q[7];\nry(0.003) q[8];\nry(0.0149) q[9];\nry(-0.0038) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x4) q[4];\nry(x15) q[5];\nry(x4) q[6];\nry(x16) q[7];\nry(x17) q[8];\nry(x18) q[9];\nry(x19) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\nry(x30) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x31) q[0];\nry(x32) q[1];\nry(x33) q[2];\nry(x16) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x35) q[6];\nry(x36) q[7];\nry(x15) q[8];\nry(x37) q[9];\nry(x38) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x39) q[0];\nry(x36) q[1];\nry(x21) q[2];\nry(x27) q[3];\nry(x40) q[4];\nry(x24) q[5];\nry(x41) q[6];\nry(x42) q[7];\nry(x43) q[8];\nry(x44) q[9];\nry(x45) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x46) q[0];\nry(x47) q[1];\nry(x48) q[2];\nry(x4) q[3];\nry(x49) q[4];\nry(x49) q[5];\nry(x49) q[6];\nry(x15) q[7];\nry(x50) q[8];\nry(x42) q[9];\nry(x51) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x52) q[0];\nry(x53) q[1];\nry(x8) q[2];\nry(x12) q[3];\nry(x54) q[4];\nry(x55) q[5];\nry(x56) q[6];\nry(x57) q[7];\nry(x56) q[8];\nry(x36) q[9];\nry(x58) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x59) q[0];\nry(x60) q[1];\nry(x61) q[2];\nry(x62) q[3];\nry(x63) q[4];\nry(x64) q[5];\nry(x64) q[6];\nry(x16) q[7];\nry(x35) q[8];\nry(x65) q[9];\nry(x54) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["540e4dc6cd5ba125f618f28f48205cbe","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 3}, {\"weight\": 18, \"source\": 0, \"target\": 4}, {\"weight\": 13, \"source\": 1, \"target\": 4}, {\"weight\": 15, \"source\": 1, \"target\": 7}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 19, \"source\": 2, \"target\": 4}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 10, \"source\": 6, \"target\": 7}]}","{\"states\": [245, 244], \"expectation_value\": -12.989796707418115, \"params\": [[0.0257, 0.010400000000000001, 0.0184], [-0.0317, -0.0317, -0.0256]], \"bitstrings\": [\"100001010\", \"100001011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004602222363391293, 0.005311548927256425], \"optimization_time\": 6.8845696449279785}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 11.0 * Z(1) + 10.0 * Z(0) + 22.5 * Z(2) + 12.0 * Z(4) + 20.0 * Z(3) + 0.5 * Z(5) + 18.5 * Z(6) + 5.0 * Z(7) + 0.5 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-90.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -82.5, \"smallest_bitstrings\": [\"100001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.2313) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2313) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2313) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(0.2313) q[4];\ncx q[0], q[4];\ncx q[0], q[3];\nrz(0.2313) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2313) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.2313) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(0.2313) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(0.2313) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.2313) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.2313) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.2313) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.2313) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(0.2313) q[7];\ncx q[6], q[7];\ncx q[4], q[8];\nrz(0.2313) q[8];\ncx q[4], q[8];\nrz(0.5654) q[1];\nrz(0.514) q[0];\nrz(1.1565) q[2];\nrz(0.6168) q[4];\nrz(1.028) q[3];\nrz(0.0257) q[5];\nrz(0.9509) q[6];\nrz(0.257) q[7];\nrz(0.0257) q[8];\nh q[0];\nrz(-0.0634) q[0];\nh q[0];\nh q[1];\nrz(-0.0634) q[1];\nh q[1];\nh q[2];\nrz(-0.0634) q[2];\nh q[2];\nh q[3];\nrz(-0.0634) q[3];\nh q[3];\nh q[4];\nrz(-0.0634) q[4];\nh q[4];\nh q[5];\nrz(-0.0634) q[5];\nh q[5];\nh q[6];\nrz(-0.0634) q[6];\nh q[6];\nh q[7];\nrz(-0.0634) q[7];\nh q[7];\nh q[8];\nrz(-0.0634) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0936) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0936) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0936) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(0.0936) q[4];\ncx q[0], q[4];\ncx q[0], q[3];\nrz(0.0936) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0936) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.0936) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(0.0936) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(0.0936) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0936) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0936) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.0936) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.0936) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(0.0936) q[7];\ncx q[6], q[7];\ncx q[4], q[8];\nrz(0.0936) q[8];\ncx q[4], q[8];\nrz(0.2288) q[1];\nrz(0.208) q[0];\nrz(0.468) q[2];\nrz(0.2496) q[4];\nrz(0.416) q[3];\nrz(0.0104) q[5];\nrz(0.3848) q[6];\nrz(0.104) q[7];\nrz(0.0104) q[8];\nh q[0];\nrz(-0.0634) q[0];\nh q[0];\nh q[1];\nrz(-0.0634) q[1];\nh q[1];\nh q[2];\nrz(-0.0634) q[2];\nh q[2];\nh q[3];\nrz(-0.0634) q[3];\nh q[3];\nh q[4];\nrz(-0.0634) q[4];\nh q[4];\nh q[5];\nrz(-0.0634) q[5];\nh q[5];\nh q[6];\nrz(-0.0634) q[6];\nh q[6];\nh q[7];\nrz(-0.0634) q[7];\nh q[7];\nh q[8];\nrz(-0.0634) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.1656) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1656) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1656) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(0.1656) q[4];\ncx q[0], q[4];\ncx q[0], q[3];\nrz(0.1656) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.1656) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.1656) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(0.1656) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(0.1656) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.1656) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.1656) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.1656) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.1656) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(0.1656) q[7];\ncx q[6], q[7];\ncx q[4], q[8];\nrz(0.1656) q[8];\ncx q[4], q[8];\nrz(0.4048) q[1];\nrz(0.368) q[0];\nrz(0.828) q[2];\nrz(0.4416) q[4];\nrz(0.736) q[3];\nrz(0.0184) q[5];\nrz(0.6808) q[6];\nrz(0.184) q[7];\nrz(0.0184) q[8];\nh q[0];\nrz(-0.0512) q[0];\nh q[0];\nh q[1];\nrz(-0.0512) q[1];\nh q[1];\nh q[2];\nrz(-0.0512) q[2];\nh q[2];\nh q[3];\nrz(-0.0512) q[3];\nh q[3];\nh q[4];\nrz(-0.0512) q[4];\nh q[4];\nh q[5];\nrz(-0.0512) q[5];\nh q[5];\nh q[6];\nrz(-0.0512) q[6];\nh q[6];\nh q[7];\nrz(-0.0512) q[7];\nh q[7];\nh q[8];\nrz(-0.0512) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[4];\nrz(x5) q[3];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nrz(x6) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x10) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x10) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x10) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\ncx q[4], q[8];\nrz(x10) q[8];\ncx q[4], q[8];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[4];\nrz(x15) q[3];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nrz(x16) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x19) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x19) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x19) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x19) q[4];\ncx q[0], q[4];\ncx q[0], q[3];\nrz(x19) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x19) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x19) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(x19) q[5];\ncx q[1], q[5];\ncx q[2], q[6];\nrz(x19) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x19) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x19) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x19) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x19) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(x19) q[7];\ncx q[6], q[7];\ncx q[4], q[8];\nrz(x19) q[8];\ncx q[4], q[8];\nrz(x20) q[1];\nrz(x21) q[0];\nrz(x22) q[2];\nrz(x23) q[4];\nrz(x24) q[3];\nrz(x25) q[5];\nrz(x26) q[6];\nrz(x27) q[7];\nrz(x25) q[8];\nh q[0];\nrz(x28) q[0];\nh q[0];\nh q[1];\nrz(x28) q[1];\nh q[1];\nh q[2];\nrz(x28) q[2];\nh q[2];\nh q[3];\nrz(x28) q[3];\nh q[3];\nh q[4];\nrz(x28) q[4];\nh q[4];\nh q[5];\nrz(x28) q[5];\nh q[5];\nh q[6];\nrz(x28) q[6];\nh q[6];\nh q[7];\nrz(x28) q[7];\nh q[7];\nh q[8];\nrz(x28) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["e9e1c3bad7671d416f508c960af260f6","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}]}","{\"states\": [33, 1], \"expectation_value\": -5.3454719079098085, \"params\": [-0.0051, -0.2346, 0.4575, 0.0329, 0.004, 0.3259, 0.0033, 0.4622, 0.0026000000000000003, 0.43420000000000003, 0.004200000000000001, 0.4242, 0.5997, 0.0081, -0.005200000000000001, 0.0393, 0.4587, 0.22010000000000002, 0.0011, 0.3936, 0.0025, 0.4592, 0.0028, 0.43460000000000004, 0.0008, 0.4585, 0.6035, 0.0077, 0.003, 0.0099, 0.4536, 0.0066, 0.0038, 0.006500000000000001, 0.0033, 0.0068000000000000005, 0.0026000000000000003, 0.0038, 0.0041, 0.0059, 0.6082000000000001, 0.009300000000000001, -0.14850000000000002, -0.31570000000000004, -0.45330000000000004, -0.4219, -0.41440000000000005, 0.006, -0.0713, -0.3835, -0.4451, -0.41490000000000005, -0.4419, 0.005200000000000001, 0.0078000000000000005, 0.0031000000000000003, 0.0088, 0.0004, 0.0, 0.0027], \"bitstrings\": [\"1011110\", \"1111110\"], \"total_optimization_steps\": 60, \"probabilities\": [0.2420391123890074, 0.377059219177156], \"optimization_time\": 7.029313087463379}","-0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6)",3,7,3,"{\"smallest_eigenvalues\": [-7.25, -7.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.25, \"smallest_bitstrings\": [\"1111110\", \"1011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(-0.0051) q[0];\nrz(-0.2346) q[0];\nrx(0.4575) q[1];\nrz(0.0329) q[1];\nrx(0.004) q[2];\nrz(0.3259) q[2];\nrx(0.0033) q[3];\nrz(0.4622) q[3];\nrx(0.0026) q[4];\nrz(0.4342) q[4];\nrx(0.0042) q[5];\nrz(0.4242) q[5];\nrx(0.5997) q[6];\nrz(0.0081) q[6];\ncrz(0.006) q[6], q[5];\ncrz(-0.4144) q[5], q[4];\ncrz(-0.4219) q[4], q[3];\ncrz(-0.4533) q[3], q[2];\ncrz(-0.3157) q[2], q[1];\ncrz(-0.1485) q[1], q[0];\nrx(-0.0052) q[0];\nrz(0.0393) q[0];\nrx(0.4587) q[1];\nrz(0.2201) q[1];\nrx(0.0011) q[2];\nrz(0.3936) q[2];\nrx(0.0025) q[3];\nrz(0.4592) q[3];\nrx(0.0028) q[4];\nrz(0.4346) q[4];\nrx(0.0008) q[5];\nrz(0.4585) q[5];\nrx(0.6035) q[6];\nrz(0.0077) q[6];\ncrz(0.0052) q[6], q[5];\ncrz(-0.4419) q[5], q[4];\ncrz(-0.4149) q[4], q[3];\ncrz(-0.4451) q[3], q[2];\ncrz(-0.3835) q[2], q[1];\ncrz(-0.0713) q[1], q[0];\nrx(0.003) q[0];\nrz(0.0099) q[0];\nrx(0.4536) q[1];\nrz(0.0066) q[1];\nrx(0.0038) q[2];\nrz(0.0065) q[2];\nrx(0.0033) q[3];\nrz(0.0068) q[3];\nrx(0.0026) q[4];\nrz(0.0038) q[4];\nrx(0.0041) q[5];\nrz(0.0059) q[5];\nrx(0.6082) q[6];\nrz(0.0093) q[6];\ncrz(0.0027) q[6], q[5];\ncrz(0) q[5], q[4];\ncrz(0.0004) q[4], q[3];\ncrz(0.0088) q[3], q[2];\ncrz(0.0031) q[2], q[1];\ncrz(0.0078) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[6], q[5];\ncrz(x15) q[5], q[4];\ncrz(x16) q[4], q[3];\ncrz(x17) q[3], q[2];\ncrz(x18) q[2], q[1];\ncrz(x19) q[1], q[0];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\ncrz(x34) q[6], q[5];\ncrz(x35) q[5], q[4];\ncrz(x36) q[4], q[3];\ncrz(x37) q[3], q[2];\ncrz(x38) q[2], q[1];\ncrz(x39) q[1], q[0];\nrx(x40) q[0];\nrz(x41) q[0];\nrx(x42) q[1];\nrz(x43) q[1];\nrx(x44) q[2];\nrz(x45) q[2];\nrx(x6) q[3];\nrz(x46) q[3];\nrx(x8) q[4];\nrz(x44) q[4];\nrx(x47) q[5];\nrz(x48) q[5];\nrx(x49) q[6];\nrz(x50) q[6];\ncrz(x51) q[6], q[5];\ncrz(x52) q[5], q[4];\ncrz(x53) q[4], q[3];\ncrz(x54) q[3], q[2];\ncrz(x55) q[2], q[1];\ncrz(x56) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["4d70328aecc8c1ea3157fc10838636c1","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 4}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [22, 7], \"expectation_value\": -12.41713742248698, \"params\": null, \"bitstrings\": [\"1101001\", \"1111000\"], \"total_optimization_steps\": 64, \"probabilities\": [0.10636678277270013, 0.6088615559824023], \"optimization_time\": 88.63292670249939}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.5 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.25 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.25 * (Z(6) @ Z(4)) + -3.5 * Z(1) + -3.25 * Z(0) + -3.25 * Z(2) + -3.5 * Z(3) + -3.0 * Z(5) + -3.0 * Z(4) + -3.0 * Z(6)",18,7,2,"{\"smallest_eigenvalues\": [-13.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[1];\ncry(-1.5708) q[5], q[3];\nry(0.7803) q[5];\ncry(-1.5708) q[6], q[2];\nry(0.8165) q[6];\ncry(-1.5708) q[4], q[0];\nry(0.8986) q[4];\nry(-0.4176) q[0];\nry(-0.3345) q[3];\nry(-0.3052) q[2];\ncry(0.4202) q[6], q[4];\ncry(0.4282) q[4], q[5];\ncry(-0.2619) q[4], q[3];\ncry(-0.2327) q[6], q[0];\ncry(0.3533) q[4], q[6];\ncry(-0.2701) q[4], q[2];\ncry(0.2094) q[5], q[4];\ncry(0.219) q[5], q[6];\ncry(0.2172) q[6], q[5];\ncry(-0.1145) q[6], q[3];\ncry(-0.114) q[5], q[2];\ncry(-0.0996) q[5], q[0];\ncry(0.2452) q[3], q[6];\ncry(0.2328) q[2], q[4];\ncry(0.2286) q[0], q[5];\ncry(0.1697) q[2], q[5];\ncry(-0.1387) q[0], q[3];\ncry(-0.1225) q[2], q[6];\ncry(0.1694) q[0], q[6];\ncry(-0.1096) q[2], q[0];\ncry(-0.0129) q[4], q[1];\ncry(-0.0993) q[0], q[2];\ncry(0.1294) q[3], q[4];\ncry(-0.0834) q[2], q[3];\ncry(-0.0839) q[0], q[4];\ncry(-0.068) q[3], q[2];\ncry(-0.053) q[3], q[5];\ncry(-0.0018) q[6], q[1];\ncry(-0.0248) q[3], q[0];\ncry(-0.0108) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"k\": 4}",{"$cut":{"chars":60607,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\ncry(-1.5708) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\ncry(-1.5708) q[5], q[3];\\nry(0.7803) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\ncry(-1.5708) q[5], q[3];\\nry(0.7803) q[5];\\ncry(-1.5708) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\ncry(-1.5708) q[5], q[3];\\nry(0.7803) q[5];\\ncry(-1.5708) q[6], q[2];\\nry(0.8165) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\ncry(-1.5708) q[5], q[3];\\nry(0.7803) q[5];\\ncry(-1.5708) q[6], q[2];\\nry(0.8165) q[6];\\ncry(-1.5708) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\ncry(-1.5708) q[5], q[3];\\nry(0.7803) q[5];\\ncry(-1.5708) q[6], q[2];\\nry(0.8165) q[6];\\ncry(-1.5708) q[4], q[0];\\nry(0.8986) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\ncry(-1.5708) q[5], q[3];\\nry(0.7803) q[5];\\ncry(-1.5708) q[6], q[2];\\nry(0.8165) q[6];\\ncry(-1.5708) q[4], q[0];\\nry(0.8986) q[4];\\nry(-0.4176) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\ncry(-1.5708) q[5], q[3];\\nry(0.7803) q[5];\\ncry(-1.5708) q[6], q[2];\\nry(0.8165) q[6];\\ncry(-1.5708) q[4], q[0];\\nry(0.8986) q[4];\\nry(-0.4176) q[0];\\nry(-0.3345) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[1];\\ncry(-1.5708) q[5], q[3];\\nry(0.7803) q[5];\\ncry(-1.5708) q[6], q[2];\\nry(0.8165) q[6];\\ncry(-1.5708) q[4], q[0];\\nry(0.8986) q[4];\\nry(-0.4176) q[0];\\nry(-0.3345) q[3];\\nry(-0.3052) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc"}}]
["-7385117203467436562","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 1, 5, 7], [1, 2, 3, 5, 6, 7], [0, 1, 2, 7], [0, 1, 3, 4, 6, 7], [0, 2, 3, 6, 7], [2, 4, 7]]}","{\"states\": [238, 252], \"expectation_value\": -0.5455771539188218, \"params\": [[0.281], [-0.2884]], \"bitstrings\": [\"00010001\", \"00000011\"], \"total_optimization_steps\": 30, \"probabilities\": [0.006522424105403603, 0.006522424105403606], \"optimization_time\": 2.6079037189483643}","0.19999999999999998 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(5)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(5)) + 0.33333333333333337 * (Z(2) @ Z(7)) + 0.06666666666666667 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(5)) + 0.11666666666666667 * (Z(3) @ Z(7)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0.06666666666666667 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.11666666666666667 * (Z(6) @ Z(7)) + 0.08333333333333334 * (Z(6) @ Z(2)) + 0.11666666666666667 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.19999999999999998 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(4) @ Z(6)) + 0.41666666666666674 * Z(1) + 0.43333333333333335 * Z(0) + 0.20833333333333331 * Z(5) + 0.6833333333333335 * Z(7) + 0.4750000000000001 * Z(2) + 0.2666666666666668 * Z(3) + 0.2666666666666668 * Z(6) + 0.25 * Z(4)",1,8,1,"{\"smallest_eigenvalues\": [-1.4333333333333336, -1.4333333333333336], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.366666666666667, \"smallest_bitstrings\": [\"00010001\", \"00000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.1124) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(0.0656) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0468) q[5];\ncx q[0], q[5];\ncx q[1], q[7];\nrz(0.1311) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(0.1405) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(0.0656) q[7];\ncx q[5], q[7];\ncx q[1], q[2];\nrz(0.0656) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0749) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(0.0187) q[2];\ncx q[5], q[2];\ncx q[7], q[2];\nrz(0.1873) q[2];\ncx q[7], q[2];\ncx q[1], q[3];\nrz(0.0375) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0468) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(0.0187) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(0.0656) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(0.0468) q[3];\ncx q[2], q[3];\ncx q[1], q[6];\nrz(0.0375) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.0468) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(0.0187) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(0.0656) q[6];\ncx q[7], q[6];\ncx q[2], q[6];\nrz(0.0468) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0656) q[6];\ncx q[3], q[6];\ncx q[1], q[4];\nrz(0.0187) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.0187) q[4];\ncx q[0], q[4];\ncx q[7], q[4];\nrz(0.1124) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(0.0937) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0187) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(0.0187) q[4];\ncx q[6], q[4];\nrz(0.2342) q[1];\nrz(0.2435) q[0];\nrz(0.1171) q[5];\nrz(0.384) q[7];\nrz(0.267) q[2];\nrz(0.1499) q[3];\nrz(0.1499) q[6];\nrz(0.1405) q[4];\nh q[0];\nrz(-0.5768) q[0];\nh q[0];\nh q[1];\nrz(-0.5768) q[1];\nh q[1];\nh q[2];\nrz(-0.5768) q[2];\nh q[2];\nh q[3];\nrz(-0.5768) q[3];\nh q[3];\nh q[4];\nrz(-0.5768) q[4];\nh q[4];\nh q[5];\nrz(-0.5768) q[5];\nh q[5];\nh q[6];\nrz(-0.5768) q[6];\nh q[6];\nh q[7];\nrz(-0.5768) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x1) q[7];\ncx q[5], q[7];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x5) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(x6) q[2];\ncx q[5], q[2];\ncx q[7], q[2];\nrz(x7) q[2];\ncx q[7], q[2];\ncx q[1], q[3];\nrz(x8) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[5], q[3];\nrz(x6) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(x1) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[1], q[6];\nrz(x8) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[5], q[6];\nrz(x6) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[2], q[6];\nrz(x2) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\ncx q[6], q[4];\nrz(x6) q[4];\ncx q[6], q[4];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[5];\nrz(x13) q[7];\nrz(x14) q[2];\nrz(x15) q[3];\nrz(x15) q[6];\nrz(x4) q[4];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nh q[6];\nrz(x16) q[6];\nh q[6];\nh q[7];\nrz(x16) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["4cd28f9bc761b26f6d6f15aeccbaedea","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [52, 44], \"expectation_value\": -3.4890916346507894, \"params\": null, \"bitstrings\": [\"1001011\", \"1010011\"], \"total_optimization_steps\": 32, \"probabilities\": [0.06071916604716631, 0.8639381839609779], \"optimization_time\": 33.15403485298157}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3)",1,7,3,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 7, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"0001111\", \"0010111\", \"0110110\", \"1110010\", \"1010011\", \"0101101\", \"1001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nry(-1.4449) q[6];\nry(1.4417) q[1];\ncry(-1.0398) q[3], q[2];\ncry(-1.0342) q[4], q[0];\nry(0.7022) q[3];\nry(0.7003) q[4];\nry(-0.4578) q[2];\ncry(0.4969) q[1], q[3];\nry(-0.4549) q[0];\ncry(0.4962) q[1], q[4];\ncry(-0.3761) q[1], q[2];\ncry(-0.3788) q[1], q[0];\ncry(0.2433) q[3], q[4];\ncry(0.2404) q[4], q[3];\ncry(-0.1216) q[1], q[6];\ncry(-0.1434) q[3], q[0];\ncry(-0.1415) q[4], q[2];\ncry(0.1103) q[3], q[1];\ncry(0.0423) q[2], q[4];\ncry(0.0411) q[0], q[3];\ncry(0.0149) q[4], q[1];\ncry(-0.028) q[2], q[3];\ncry(-0.0275) q[0], q[4];\ncry(0.0221) q[2], q[1];\ncry(-0.0045) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":20572,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.4449) q[6];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.4449) q[6];\\nry(1.4417) q[1];\\ncry(-1.0398) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.4449) q[6];\\nry(1.4417) q[1];\\ncry(-1.0398) q[3], q[2];\\ncry(-1.0342) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.4449) q[6];\\nry(1.4417) q[1];\\ncry(-1.0398) q[3], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7022) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.4449) q[6];\\nry(1.4417) q[1];\\ncry(-1.0398) q[3], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7022) q[3];\\nry(0.7003) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.4449) q[6];\\nry(1.4417) q[1];\\ncry(-1.0398) q[3], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7022) q[3];\\nry(0.7003) q[4];\\nry(-0.4578) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.4449) q[6];\\nry(1.4417) q[1];\\ncry(-1.0398) q[3], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7022) q[3];\\nry(0.7003) q[4];\\nry(-0.4578) q[2];\\ncry(0.4969) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[5];\\nry(-1.4449) q[6];\\nry(1.4417) q[1];\\ncry(-1.0398) q[3], q[2];\\ncry(-1.0342) q[4], q[0];\\nry(0.7022) q[3];\\nry(0.7003) q[4];\\nry(-0.4578) q[2];\\ncry(0.4969) q[1], q[3];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1"}}]
["3257eb74c5059c972aa1cf1f57c7841b","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [11, 56], \"expectation_value\": -0.9044899088356991, \"params\": [[0.0516, 0.0629, 0.0631], [-0.0256, -0.048100000000000004, -0.0563]], \"bitstrings\": [\"1110100\", \"1000111\"], \"total_optimization_steps\": 10, \"probabilities\": [0.011686068754307574, 0.012130156871273664], \"optimization_time\": 4.357720851898193}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(3)",1,7,3,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1110100\", \"1010110\", \"1000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.0516) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0516) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(0.0516) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0516) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.0516) q[5];\ncx q[2], q[5];\ncx q[0], q[6];\nrz(0.0516) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0516) q[6];\ncx q[2], q[6];\ncx q[1], q[4];\nrz(0.0516) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0516) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(0.0516) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(0.0516) q[3];\ncx q[4], q[3];\nrz(-0.1032) q[1];\nrz(-0.1548) q[0];\nrz(-0.1548) q[2];\nrz(-0.1548) q[5];\nrz(-0.0516) q[6];\nrz(-0.1548) q[4];\nrz(0) q[3];\nh q[0];\nrz(-0.0512) q[0];\nh q[0];\nh q[1];\nrz(-0.0512) q[1];\nh q[1];\nh q[2];\nrz(-0.0512) q[2];\nh q[2];\nh q[3];\nrz(-0.0512) q[3];\nh q[3];\nh q[4];\nrz(-0.0512) q[4];\nh q[4];\nh q[5];\nrz(-0.0512) q[5];\nh q[5];\nh q[6];\nrz(-0.0512) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.0629) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0629) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(0.0629) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0629) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.0629) q[5];\ncx q[2], q[5];\ncx q[0], q[6];\nrz(0.0629) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0629) q[6];\ncx q[2], q[6];\ncx q[1], q[4];\nrz(0.0629) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0629) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(0.0629) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(0.0629) q[3];\ncx q[4], q[3];\nrz(-0.1258) q[1];\nrz(-0.1887) q[0];\nrz(-0.1887) q[2];\nrz(-0.1887) q[5];\nrz(-0.0629) q[6];\nrz(-0.1887) q[4];\nrz(0) q[3];\nh q[0];\nrz(-0.0962) q[0];\nh q[0];\nh q[1];\nrz(-0.0962) q[1];\nh q[1];\nh q[2];\nrz(-0.0962) q[2];\nh q[2];\nh q[3];\nrz(-0.0962) q[3];\nh q[3];\nh q[4];\nrz(-0.0962) q[4];\nh q[4];\nh q[5];\nrz(-0.0962) q[5];\nh q[5];\nh q[6];\nrz(-0.0962) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.0631) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0631) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(0.0631) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.0631) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.0631) q[5];\ncx q[2], q[5];\ncx q[0], q[6];\nrz(0.0631) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0631) q[6];\ncx q[2], q[6];\ncx q[1], q[4];\nrz(0.0631) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0631) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(0.0631) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(0.0631) q[3];\ncx q[4], q[3];\nrz(-0.1262) q[1];\nrz(-0.1893) q[0];\nrz(-0.1893) q[2];\nrz(-0.1893) q[5];\nrz(-0.0631) q[6];\nrz(-0.1893) q[4];\nrz(0) q[3];\nh q[0];\nrz(-0.1126) q[0];\nh q[0];\nh q[1];\nrz(-0.1126) q[1];\nh q[1];\nh q[2];\nrz(-0.1126) q[2];\nh q[2];\nh q[3];\nrz(-0.1126) q[3];\nh q[3];\nh q[4];\nrz(-0.1126) q[4];\nh q[4];\nh q[5];\nrz(-0.1126) q[5];\nh q[5];\nh q[6];\nrz(-0.1126) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[5];\nrz(x3) q[6];\nrz(x2) q[4];\nrz(x4) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x6) q[5];\ncx q[2], q[5];\ncx q[0], q[6];\nrz(x6) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x6) q[6];\ncx q[2], q[6];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x6) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(x6) q[3];\ncx q[4], q[3];\nrz(x7) q[1];\nrz(x8) q[0];\nrz(x8) q[2];\nrz(x8) q[5];\nrz(x9) q[6];\nrz(x8) q[4];\nrz(x4) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[1], q[5];\nrz(x11) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x11) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[0], q[6];\nrz(x11) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x11) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x11) q[4];\ncx q[5], q[4];\ncx q[4], q[3];\nrz(x11) q[3];\ncx q[4], q[3];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x13) q[2];\nrz(x13) q[5];\nrz(x14) q[6];\nrz(x13) q[4];\nrz(x4) q[3];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["c5211bad50b928e7b2cd71a45947d261","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 6}, {\"weight\": 20, \"source\": 1, \"target\": 6}, {\"weight\": 6, \"source\": 2, \"target\": 3}, {\"weight\": 18, \"source\": 3, \"target\": 6}, {\"weight\": 20, \"source\": 3, \"target\": 7}, {\"weight\": 17, \"source\": 3, \"target\": 4}, {\"weight\": 5, \"source\": 4, \"target\": 5}, {\"weight\": 2, \"source\": 6, \"target\": 7}]}","{\"states\": [222, 220], \"expectation_value\": -24.044463629889343, \"params\": [[0.025900000000000003, 0.0009000000000000001], [-0.07730000000000001, -0.054200000000000005]], \"bitstrings\": [\"100100001\", \"100100011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005186983067450493, 0.006491239164045808], \"optimization_time\": 7.29141092300415}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 15.5 * Z(1) + 4.0 * Z(0) + 19.0 * Z(2) + 19.0 * Z(6) + 7.5 * Z(3) + 17.5 * Z(4) + 27.0 * Z(5) + -2.0 * Z(7) + 10.0 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-96.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -86.5, \"smallest_bitstrings\": [\"100100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.2331) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2331) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2331) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(0.2331) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(0.2331) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.2331) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.2331) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.2331) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(0.2331) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(0.2331) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.2331) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(0.2331) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(0.2331) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(0.2331) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.2331) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(0.2331) q[8];\ncx q[5], q[8];\nrz(0.8029) q[1];\nrz(0.2072) q[0];\nrz(0.9842) q[2];\nrz(0.9842) q[6];\nrz(0.3885) q[3];\nrz(0.9065) q[4];\nrz(1.3986) q[5];\nrz(-0.1036) q[7];\nrz(0.518) q[8];\nh q[0];\nrz(-0.1546) q[0];\nh q[0];\nh q[1];\nrz(-0.1546) q[1];\nh q[1];\nh q[2];\nrz(-0.1546) q[2];\nh q[2];\nh q[3];\nrz(-0.1546) q[3];\nh q[3];\nh q[4];\nrz(-0.1546) q[4];\nh q[4];\nh q[5];\nrz(-0.1546) q[5];\nh q[5];\nh q[6];\nrz(-0.1546) q[6];\nh q[6];\nh q[7];\nrz(-0.1546) q[7];\nh q[7];\nh q[8];\nrz(-0.1546) q[8];\nh q[8];\ncx q[1], q[0];\nrz(0.0081) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0081) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0081) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(0.0081) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(0.0081) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(0.0081) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0081) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0081) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(0.0081) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(0.0081) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0081) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(0.0081) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(0.0081) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(0.0081) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.0081) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(0.0081) q[8];\ncx q[5], q[8];\nrz(0.0279) q[1];\nrz(0.0072) q[0];\nrz(0.0342) q[2];\nrz(0.0342) q[6];\nrz(0.0135) q[3];\nrz(0.0315) q[4];\nrz(0.0486) q[5];\nrz(-0.0036) q[7];\nrz(0.018) q[8];\nh q[0];\nrz(-0.1084) q[0];\nh q[0];\nh q[1];\nrz(-0.1084) q[1];\nh q[1];\nh q[2];\nrz(-0.1084) q[2];\nh q[2];\nh q[3];\nrz(-0.1084) q[3];\nh q[3];\nh q[4];\nrz(-0.1084) q[4];\nh q[4];\nh q[5];\nrz(-0.1084) q[5];\nh q[5];\nh q[6];\nrz(-0.1084) q[6];\nh q[6];\nh q[7];\nrz(-0.1084) q[7];\nh q[7];\nh q[8];\nrz(-0.1084) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(x0) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x3) q[6];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[6], q[3];\nrz(x10) q[3];\ncx q[6], q[3];\ncx q[6], q[4];\nrz(x10) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(x10) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(x10) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x10) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(x10) q[8];\ncx q[5], q[8];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x13) q[6];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[7];\nrz(x18) q[8];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nh q[8];\nrz(x19) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["4cda5dee957682c08dbd329bc943c5ef","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [1, 3], \"expectation_value\": -5.270250913870376, \"params\": [-0.0026000000000000003, 0.2982, -0.0035, 0.2859, 0.3161, 0.31420000000000003, 0.048600000000000004, 0.33490000000000003, 0.0037, 0.301, 0.4591, 0.0951, 0.501, 0.0006000000000000001, -0.0085, 0.2998, -0.0006000000000000001, 0.2932, 0.29500000000000004, 0.3247, 0.0422, 0.3362, 0.0013000000000000002, 0.3044, 0.45690000000000003, 0.1071, 0.5036, -0.0008, -0.0083, 0.3035, -0.0047, 0.2954, 0.28090000000000004, 0.3391, 0.0417, 0.3458, 0.0051, 0.30310000000000004, 0.4506, 0.1062, 0.5071, 0.0025, -0.0028, 0.0037, -0.0015, 0.0064, 0.3124, 0.0051, 0.0437, 0.0018000000000000002, 0.0027, 0.0013000000000000002, 0.4576, 0.00030000000000000003, 0.5063, 0.0022, -0.1115, -0.16290000000000002, 0.31370000000000003, -0.15810000000000002, 0.1678, 0.0009000000000000001, -0.0274, -0.0782, 0.3432, 0.1345, 0.1983, -0.0043, -0.0154, -0.0597, 0.37470000000000003, 0.1598, 0.20700000000000002, -0.0027, 0.0077, 0.004, 0.0054, 0.004200000000000001, 0.0022, 0.0076], \"bitstrings\": [\"1111110\", \"1111100\"], \"total_optimization_steps\": 50, \"probabilities\": [0.19556824653053106, 0.3263899312279912], \"optimization_time\": 7.630573511123657}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -2.0 * Z(4) + -1.5 * Z(5) + -1.0 * Z(6) + -1.5 * Z(3)",3,7,4,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"1011101\", \"0110111\", \"1111100\", \"1101011\", \"1101110\", \"1110110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(-0.0026) q[0];\nrz(0.2982) q[0];\nrx(-0.0035) q[1];\nrz(0.2859) q[1];\nrx(0.3161) q[2];\nrz(0.3142) q[2];\nrx(0.0486) q[3];\nrz(0.3349) q[3];\nrx(0.0037) q[4];\nrz(0.301) q[4];\nrx(0.4591) q[5];\nrz(0.0951) q[5];\nrx(0.501) q[6];\nrz(0.0006) q[6];\ncrz(0.0009) q[6], q[5];\ncrz(0.1678) q[5], q[4];\ncrz(-0.1581) q[4], q[3];\ncrz(0.3137) q[3], q[2];\ncrz(-0.1629) q[2], q[1];\ncrz(-0.1115) q[1], q[0];\nrx(-0.0085) q[0];\nrz(0.2998) q[0];\nrx(-0.0006) q[1];\nrz(0.2932) q[1];\nrx(0.295) q[2];\nrz(0.3247) q[2];\nrx(0.0422) q[3];\nrz(0.3362) q[3];\nrx(0.0013) q[4];\nrz(0.3044) q[4];\nrx(0.4569) q[5];\nrz(0.1071) q[5];\nrx(0.5036) q[6];\nrz(-0.0008) q[6];\ncrz(-0.0043) q[6], q[5];\ncrz(0.1983) q[5], q[4];\ncrz(0.1345) q[4], q[3];\ncrz(0.3432) q[3], q[2];\ncrz(-0.0782) q[2], q[1];\ncrz(-0.0274) q[1], q[0];\nrx(-0.0083) q[0];\nrz(0.3035) q[0];\nrx(-0.0047) q[1];\nrz(0.2954) q[1];\nrx(0.2809) q[2];\nrz(0.3391) q[2];\nrx(0.0417) q[3];\nrz(0.3458) q[3];\nrx(0.0051) q[4];\nrz(0.3031) q[4];\nrx(0.4506) q[5];\nrz(0.1062) q[5];\nrx(0.5071) q[6];\nrz(0.0025) q[6];\ncrz(-0.0027) q[6], q[5];\ncrz(0.207) q[5], q[4];\ncrz(0.1598) q[4], q[3];\ncrz(0.3747) q[3], q[2];\ncrz(-0.0597) q[2], q[1];\ncrz(-0.0154) q[1], q[0];\nrx(-0.0028) q[0];\nrz(0.0037) q[0];\nrx(-0.0015) q[1];\nrz(0.0064) q[1];\nrx(0.3124) q[2];\nrz(0.0051) q[2];\nrx(0.0437) q[3];\nrz(0.0018) q[3];\nrx(0.0027) q[4];\nrz(0.0013) q[4];\nrx(0.4576) q[5];\nrz(0.0003) q[5];\nrx(0.5063) q[6];\nrz(0.0022) q[6];\ncrz(0.0076) q[6], q[5];\ncrz(0.0022) q[5], q[4];\ncrz(0.0042) q[4], q[3];\ncrz(0.0054) q[3], q[2];\ncrz(0.004) q[2], q[1];\ncrz(0.0077) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[6], q[5];\ncrz(x15) q[5], q[4];\ncrz(x16) q[4], q[3];\ncrz(x17) q[3], q[2];\ncrz(x18) q[2], q[1];\ncrz(x19) q[1], q[0];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\ncrz(x34) q[6], q[5];\ncrz(x35) q[5], q[4];\ncrz(x36) q[4], q[3];\ncrz(x37) q[3], q[2];\ncrz(x38) q[2], q[1];\ncrz(x39) q[1], q[0];\nrx(x40) q[0];\nrz(x41) q[0];\nrx(x42) q[1];\nrz(x43) q[1];\nrx(x44) q[2];\nrz(x45) q[2];\nrx(x46) q[3];\nrz(x47) q[3];\nrx(x48) q[4];\nrz(x49) q[4];\nrx(x50) q[5];\nrz(x51) q[5];\nrx(x52) q[6];\nrz(x53) q[6];\ncrz(x54) q[6], q[5];\ncrz(x55) q[5], q[4];\ncrz(x56) q[4], q[3];\ncrz(x57) q[3], q[2];\ncrz(x58) q[2], q[1];\ncrz(x59) q[1], q[0];\nrx(x60) q[0];\nrz(x8) q[0];\nrx(x61) q[1];\nrz(x62) q[1];\nrx(x63) q[2];\nrz(x48) q[2];\nrx(x64) q[3];\nrz(x65) q[3];\nrx(x66) q[4];\nrz(x28) q[4];\nrx(x67) q[5];\nrz(x68) q[5];\nrx(x69) q[6];\nrz(x70) q[6];\ncrz(x71) q[6], q[5];\ncrz(x70) q[5], q[4];\ncrz(x72) q[4], q[3];\ncrz(x73) q[3], q[2];\ncrz(x74) q[2], q[1];\ncrz(x75) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["ced6c703f6fc42ad993c62457521a8a6","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 6, \"target\": 3}]}","{\"states\": [3, 1], \"expectation_value\": -9.749974732289836, \"params\": null, \"bitstrings\": [\"11111100\", \"11111110\"], \"total_optimization_steps\": 21, \"probabilities\": [1.2643738898933471e-05, 0.9999747325766285], \"optimization_time\": 17.35269045829773}","-0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(2) + -0.25 * Z(5) + 0.0 * Z(6) + 0.0 * Z(3) + -0.25 * Z(4) + 1.75 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-9.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.75, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nry(-1.5708) q[0];\nry(-1.5706) q[1];\nry(-1.5708) q[2];\nry(-1.5706) q[5];\nry(-1.5486) q[3];\nry(-1.4449) q[4];\nry(-1.4448) q[6];\ncry(-0.1189) q[7], q[6];\ncry(-0.1188) q[7], q[4];\ncry(-0.0222) q[7], q[3];\ncry(-0.0002) q[7], q[1];\ncry(-0.0002) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 7}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\ncry(-0.0002) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\ncry(-0.0002) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\ncry(-0.0002) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\ncry(-0.0002) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[7];\\nry(-1.5708) q[0];\\nry(-1.5706) q[1];\\nry(-1.5708) q[2];\\nry(-1.5706) q[5];\\nry(-1.5486) q[3];\\nry(-1.4449) q[4];\\nry(-1.4448) q[6];\\ncry(-0.1189) q[7], q[6];\\ncry(-0.1188) q[7], q[4];\\ncry(-0.0222) q[7], q[3];\\ncry(-0.0002) q[7], q[1];\\ncry(-0.0002) q[7], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\"], \"gradients\": [1.7412, 2.2418, 1.243, 1.501, 1.2478, 0.7496, 0.5003, 0.5, 0.0633, 0.0633, 0.0232, 0.008, 0.006, 0.004, 0.004, 0.004, 0.0035, 0.0035, 0.003, 0.003, 0.0024]}"]
["fb6267fe9e00f958431b621d7db08da1","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 4}]}","{\"states\": [11, 1], \"expectation_value\": -4.752857727781846, \"params\": null, \"bitstrings\": [\"1110100\", \"1111110\"], \"total_optimization_steps\": 20, \"probabilities\": [0.06683590605431504, 0.9171841330013739], \"optimization_time\": 13.987538814544678}","-0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4)",1,7,3,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[1];\nry(1.4449) q[6];\ncry(-1.5481) q[6], q[0];\ncry(1.0357) q[3], q[5];\nry(-0.9388) q[5];\nry(-0.969) q[3];\ncry(-0.8995) q[6], q[5];\nry(-1.5606) q[4];\ncry(-0.5227) q[6], q[3];\nry(-1.4153) q[2];\ncry(-0.1444) q[6], q[2];\nry(-0.022) q[0];\ncry(0.0534) q[5], q[6];\ncry(-0.0101) q[6], q[4];\ncry(-0.0027) q[6], q[1];\ncry(0.021) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\ncry(0.021) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\ncry(0.021) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\ncry(0.021) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5681) q[1];\\nry(1.4449) q[6];\\ncry(-1.5481) q[6], q[0];\\ncry(1.0357) q[3], q[5];\\nry(-0.9388) q[5];\\nry(-0.969) q[3];\\ncry(-0.8995) q[6], q[5];\\nry(-1.5606) q[4];\\ncry(-0.5227) q[6], q[3];\\nry(-1.4153) q[2];\\ncry(-0.1444) q[6], q[2];\\nry(-0.022) q[0];\\ncry(0.0534) q[5], q[6];\\ncry(-0.0101) q[6], q[4];\\ncry(-0.0027) q[6], q[1];\\ncry(0.021) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [0.9935, 0.4977, 0.7461, 0.2526, 0.3693, 0.5223, 0.6723, 0.849, 0.5801, 0.4665, 0.0724, 0.0222, 0.0125, 0.0098, 0.009, 0.0049, 0.0048, 0.0039, 0.0035, 0.0025]}"]
["6929307530110604714","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"hyperedges\": [[0, 2, 5, 8, 11], [1, 11, 5], [1, 3, 7], [2, 4, 12], [0, 1, 2, 4, 5], [10, 2], [0, 2, 3, 6, 9], [2, 7], [3, 12, 6], [11, 12, 6], [1, 6, 8, 10, 12], [5, 7, 9, 10, 11], [12, 5], [5, 6], [0, 10], [0, 9, 2, 1], [2, 3, 4, 5, 11], [8, 9, 10], [0, 8, 4, 9], [1, 3, 4, 9, 10], [9, 11, 4, 7], [0, 3, 4, 9, 12], [8, 1, 6, 7]]}","{\"states\": [7707, 7771], \"expectation_value\": -5.187501734420028, \"params\": [1.5745, 1.5707, 1.5721, 1.5744, 1.3536000000000001, 1.3584, 1.7904, 1.3644, 0.7275, 0.7188, 0.09140000000000001, 0.0887, 0.8628, 0.8222, 0.1683, 0.1721, 1.6009, 1.5532000000000001, 1.7296, 1.4119000000000002, 0.054, 0.056600000000000004, 1.5387000000000002, 1.598, 1.5668, 1.5709000000000002, 0.0018000000000000002, 0.0013000000000000002, 0.003, 0.0026000000000000003, 0.006900000000000001, 0.0008, -0.065, 0.0049, -0.5862, 0.007200000000000001, 0.8153, 0.0016, 0.8388, 0.0019, -0.6193000000000001, 0.0074, 0.7409, 0.0036000000000000003, -0.0756, 0.0077, -0.31820000000000004, 0.004200000000000001, 0.7907000000000001, 0.0089, 0.003, 0.0015], \"bitstrings\": [\"0000111100100\", \"0000110100100\"], \"total_optimization_steps\": 180, \"probabilities\": [0.2559370336692083, 0.305253711960341], \"optimization_time\": 14.924248933792114}","0.23333333333333334 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.05 * (Z(8) @ Z(2)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.05 * (Z(8) @ Z(5)) + 0.1 * (Z(11) @ Z(2)) + 0.05 * (Z(11) @ Z(0)) + 0.31666666666666665 * (Z(11) @ Z(5)) + 0.05 * (Z(11) @ Z(8)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.13333333333333333 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(11)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(5)) + 0.05 * (Z(3) @ Z(11)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.13333333333333333 * (Z(7) @ Z(11)) + 0.25 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.13333333333333333 * (Z(4) @ Z(11)) + 0.1 * (Z(4) @ Z(1)) + 0.15000000000000002 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(12) @ Z(2)) + 0.05 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(5)) + 0.05 * (Z(12) @ Z(8)) + 0.16666666666666666 * (Z(12) @ Z(11)) + 0.05 * (Z(12) @ Z(1)) + 0.21666666666666667 * (Z(12) @ Z(3)) + 0.21666666666666667 * (Z(12) @ Z(4)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(0)) + 0.05 * (Z(10) @ Z(5)) + 0.21666666666666667 * (Z(10) @ Z(8)) + 0.05 * (Z(10) @ Z(11)) + 0.1 * (Z(10) @ Z(1)) + 0.05 * (Z(10) @ Z(3)) + 0.05 * (Z(10) @ Z(7)) + 0.05 * (Z(10) @ Z(4)) + 0.05 * (Z(10) @ Z(12)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.13333333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(11)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.3833333333333333 * (Z(6) @ Z(12)) + 0.05 * (Z(6) @ Z(10)) + 0.13333333333333333 * (Z(9) @ Z(2)) + 0.26666666666666666 * (Z(9) @ Z(0)) + 0.05 * (Z(9) @ Z(5)) + 0.25 * (Z(9) @ Z(8)) + 0.13333333333333333 * (Z(9) @ Z(11)) + 0.13333333333333333 * (Z(9) @ Z(1)) + 0.15000000000000002 * (Z(9) @ Z(3)) + 0.13333333333333333 * (Z(9) @ Z(7)) + 0.26666666666666666 * (Z(9) @ Z(4)) + 0.05 * (Z(9) @ Z(12)) + 0.26666666666666666 * (Z(9) @ Z(10)) + 0.05 * (Z(9) @ Z(6)) + 0.6916666666666664 * Z(2) + 0.6499999999999999 * Z(0) + 0.5666666666666664 * Z(5) + 0.6166666666666667 * Z(8) + 0.7583333333333335 * Z(11) + 0.8833333333333335 * Z(1) + 0.7333333333333331 * Z(3) + 0.5166666666666666 * Z(7) + 0.8166666666666664 * Z(4) + 0.7000000000000002 * Z(12) + 0.4666666666666668 * Z(10) + 0.6583333333333334 * Z(6) + 0.9416666666666667 * Z(9)",13,13,1,"{\"smallest_eigenvalues\": [-5.700000000000001], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.500000000000003, \"smallest_bitstrings\": [\"0000110100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(1.5745) q[0];\nry(1.5721) q[1];\nry(1.3536) q[2];\nry(1.7904) q[3];\nry(0.7275) q[4];\nry(0.0914) q[5];\nry(0.8628) q[6];\nry(0.1683) q[7];\nry(1.6009) q[8];\nry(1.7296) q[9];\nry(0.054) q[10];\nry(1.5387) q[11];\nry(1.5668) q[12];\ncrz(0.0018) q[12], q[0];\ncrz(0.003) q[11], q[12];\ncrz(0.7907) q[10], q[11];\ncrz(-0.3182) q[9], q[10];\ncrz(-0.0756) q[8], q[9];\ncrz(0.7409) q[7], q[8];\ncrz(-0.6193) q[6], q[7];\ncrz(0.8388) q[5], q[6];\ncrz(0.8153) q[4], q[5];\ncrz(-0.5862) q[3], q[4];\ncrz(-0.065) q[2], q[3];\ncrz(0.0069) q[1], q[2];\ncrz(0.003) q[0], q[1];\nry(1.5707) q[0];\nry(1.5744) q[1];\nry(1.3584) q[2];\nry(1.3644) q[3];\nry(0.7188) q[4];\nry(0.0887) q[5];\nry(0.8222) q[6];\nry(0.1721) q[7];\nry(1.5532) q[8];\nry(1.4119) q[9];\nry(0.0566) q[10];\nry(1.598) q[11];\nry(1.5709) q[12];\ncrz(0.0013) q[12], q[11];\ncrz(0.0026) q[0], q[12];\ncrz(0.0008) q[0], q[1];\ncrz(0.0049) q[1], q[2];\ncrz(0.0072) q[2], q[3];\ncrz(0.0016) q[3], q[4];\ncrz(0.0019) q[4], q[5];\ncrz(0.0074) q[5], q[6];\ncrz(0.0036) q[6], q[7];\ncrz(0.0077) q[7], q[8];\ncrz(0.0042) q[8], q[9];\ncrz(0.0089) q[9], q[10];\ncrz(0.0015) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\ncrz(x13) q[12], q[0];\ncrz(x14) q[11], q[12];\ncrz(x15) q[10], q[11];\ncrz(x16) q[9], q[10];\ncrz(x17) q[8], q[9];\ncrz(x18) q[7], q[8];\ncrz(x19) q[6], q[7];\ncrz(x20) q[5], q[6];\ncrz(x21) q[4], q[5];\ncrz(x22) q[3], q[4];\ncrz(x23) q[2], q[3];\ncrz(x24) q[1], q[2];\ncrz(x14) q[0], q[1];\nry(x25) q[0];\nry(x26) q[1];\nry(x27) q[2];\nry(x28) q[3];\nry(x29) q[4];\nry(x30) q[5];\nry(x31) q[6];\nry(x32) q[7];\nry(x33) q[8];\nry(x34) q[9];\nry(x35) q[10];\nry(x36) q[11];\nry(x37) q[12];\ncrz(x38) q[12], q[11];\ncrz(x39) q[0], q[12];\ncrz(x40) q[0], q[1];\ncrz(x41) q[1], q[2];\ncrz(x42) q[2], q[3];\ncrz(x43) q[3], q[4];\ncrz(x44) q[4], q[5];\ncrz(x45) q[5], q[6];\ncrz(x46) q[6], q[7];\ncrz(x47) q[7], q[8];\ncrz(x48) q[8], q[9];\ncrz(x49) q[9], q[10];\ncrz(x50) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"circuits\": [], \"gradients\": []}"]
["8c3f924f9cf6ec78fc60ffe093bcb548","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [192, 224], \"expectation_value\": -4.6204130265952825, \"params\": [0.49970000000000003, 0.0013000000000000002, 0.5013000000000001, 0.0026000000000000003, 0.5103, -0.006, 0.27790000000000004, -0.1433, 0.051800000000000006, -0.2155, 0.1506, -0.17300000000000001, 0.1044, -0.0639, 0.29450000000000004, -0.10840000000000001, 0.5045000000000001, -0.0, 0.4994, 0.0005, 0.5049, 0.001, 0.1134, -0.1192, 0.042800000000000005, -0.1953, 0.13040000000000002, -0.1579, 0.1034, -0.07400000000000001, 0.29450000000000004, -0.1044, 0.5014000000000001, -0.0025, 0.5046, 0.0058000000000000005, 0.5075000000000001, -0.0461, 0.09040000000000001, 0.0666, 0.0391, 0.20120000000000002, 0.1019, 0.14730000000000001, 0.1515, -0.0182, 0.3254, 0.0068000000000000005, 0.3784, 0.0751, -0.4783, -0.46380000000000005, -0.1568, -0.2733, -0.2587, 0.4874, 0.48800000000000004, -0.47690000000000005, -0.4466, -0.1825, -0.26940000000000003, -0.2654, 0.48560000000000003, 0.4888, -0.4802, -0.2666, -0.2116, -0.2677, -0.2596], \"bitstrings\": [\"00111111\", \"00011111\"], \"total_optimization_steps\": 50, \"probabilities\": [0.1331449380814762, 0.23560978020293635], \"optimization_time\": 25.49229621887207}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(7) + -0.5 * Z(2)",4,8,3,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"10011101\", \"10011011\", \"00011111\", \"01011110\", \"01101110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.4997) q[0];\nrz(0.0013) q[0];\nrx(0.5013) q[1];\nrz(0.0026) q[1];\nrx(0.5103) q[2];\nrz(-0.006) q[2];\nrx(0.2779) q[3];\nrz(-0.1433) q[3];\nrx(0.0518) q[4];\nrz(-0.2155) q[4];\nrx(0.1506) q[5];\nrz(-0.173) q[5];\nrx(0.1044) q[6];\nrz(-0.0639) q[6];\nrx(0.2945) q[7];\nrz(-0.1084) q[7];\ncrx(-0.2587) q[7], q[6];\ncrx(-0.2733) q[6], q[5];\ncrx(-0.1568) q[5], q[4];\ncrx(-0.4638) q[4], q[3];\ncrx(-0.4783) q[3], q[2];\ncrx(0.0751) q[2], q[1];\ncrx(0.3784) q[1], q[0];\nrx(0.5045) q[0];\nrz(0) q[0];\nrx(0.4994) q[1];\nrz(0.0005) q[1];\nrx(0.5049) q[2];\nrz(0.001) q[2];\nrx(0.1134) q[3];\nrz(-0.1192) q[3];\nrx(0.0428) q[4];\nrz(-0.1953) q[4];\nrx(0.1304) q[5];\nrz(-0.1579) q[5];\nrx(0.1034) q[6];\nrz(-0.074) q[6];\nrx(0.2945) q[7];\nrz(-0.1044) q[7];\ncrx(-0.2654) q[7], q[6];\ncrx(-0.2694) q[6], q[5];\ncrx(-0.1825) q[5], q[4];\ncrx(-0.4466) q[4], q[3];\ncrx(-0.4769) q[3], q[2];\ncrx(0.488) q[2], q[1];\ncrx(0.4874) q[1], q[0];\nrx(0.5014) q[0];\nrz(-0.0025) q[0];\nrx(0.5046) q[1];\nrz(0.0058) q[1];\nrx(0.5075) q[2];\nrz(-0.0461) q[2];\nrx(0.0904) q[3];\nrz(0.0666) q[3];\nrx(0.0391) q[4];\nrz(0.2012) q[4];\nrx(0.1019) q[5];\nrz(0.1473) q[5];\nrx(0.1515) q[6];\nrz(-0.0182) q[6];\nrx(0.3254) q[7];\nrz(0.0068) q[7];\ncrx(-0.2596) q[7], q[6];\ncrx(-0.2677) q[6], q[5];\ncrx(-0.2116) q[5], q[4];\ncrx(-0.2666) q[4], q[3];\ncrx(-0.4802) q[3], q[2];\ncrx(0.4888) q[2], q[1];\ncrx(0.4856) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[6], q[5];\ncrx(x18) q[5], q[4];\ncrx(x19) q[4], q[3];\ncrx(x20) q[3], q[2];\ncrx(x21) q[2], q[1];\ncrx(x22) q[1], q[0];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x14) q[7];\nrz(x37) q[7];\ncrx(x38) q[7], q[6];\ncrx(x39) q[6], q[5];\ncrx(x40) q[5], q[4];\ncrx(x41) q[4], q[3];\ncrx(x42) q[3], q[2];\ncrx(x43) q[2], q[1];\ncrx(x44) q[1], q[0];\nrx(x45) q[0];\nrz(x46) q[0];\nrx(x47) q[1];\nrz(x48) q[1];\nrx(x49) q[2];\nrz(x50) q[2];\nrx(x51) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x55) q[5];\nrz(x56) q[5];\nrx(x57) q[6];\nrz(x58) q[6];\nrx(x59) q[7];\nrz(x60) q[7];\ncrx(x61) q[7], q[6];\ncrx(x62) q[6], q[5];\ncrx(x63) q[5], q[4];\ncrx(x64) q[4], q[3];\ncrx(x65) q[3], q[2];\ncrx(x66) q[2], q[1];\ncrx(x67) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["01a8e5f0e4da72adfede252ce1ffa4f0","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 0, \"target\": 8}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 1, \"source\": 6, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 5}, {\"capacity\": 2, \"source\": 7, \"target\": 8}]}","{\"states\": [1, 5], \"expectation_value\": -8.749987375523228, \"params\": null, \"bitstrings\": [\"111111110\", \"111111010\"], \"total_optimization_steps\": 26, \"probabilities\": [0.24999684388415405, 0.2499968438841541], \"optimization_time\": 38.74461889266968}","-0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * Z(4) + -0.25 * Z(0) + -2.25 * Z(5) + 0.5 * Z(8) + -0.5 * Z(2) + 0.5 * Z(1) + 1.25 * Z(3) + 0.25 * Z(7) + 0.75 * Z(6)",1,9,1,"{\"smallest_eigenvalues\": [-8.75, -8.75, -8.75, -8.75, -8.75], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -7.75, \"smallest_bitstrings\": [\"100001000\", \"111111110\", \"101111110\", \"101111010\", \"111111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nry(-1.5681) q[2];\nry(-1.5708) q[4];\nry(-1.5681) q[0];\nry(1.5708) q[8];\nry(-1.5681) q[3];\nry(-1.4449) q[7];\ncry(-0.1188) q[8], q[7];\ncry(-0.0027) q[8], q[2];\ncry(-0.0027) q[8], q[0];\ncry(-0.0027) q[8], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"source\": 0, \"sink\": 8}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5708) q[5];\\nry(-1.5681) q[2];\\nry(-1.5708) q[4];\\nry(-1.5681) q[0];\\nry(1.5708) q[8];\\nry(-1.5681) q[3];\\nry(-1.4449) q[7];\\ncry(-0.1188) q[8], q[7];\\ncry(-0.0027) q[8], q[2];\\ncry(-0.0027) q[8], q[0];\\ncry(-0.0027) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\"], \"gradients\": [2.2376, 0.986, 1.4942, 1.004, 1.5007, 0.9982, 0.5, 0.0638, 0.0136, 0.0135, 0.0094, 0.009, 0.009, 0.0085, 0.0081, 0.007, 0.006, 0.0055, 0.0054, 0.0054, 0.0045, 0.004, 0.0034, 0.0034, 0.003, 0.0023]}"]
["5721bc29b750ff2e0c5d4fb6d5e7d30b","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 8}, {\"source\": 7, \"target\": 8}]}","{\"states\": [24, 31], \"expectation_value\": -13.859977774447913, \"params\": [-0.0077, 1.0208000000000002, 0.0047, 0.9836, -0.0063, 0.7513000000000001, 0.0044, 0.8912, 0.0002, 0.9795, -0.0006000000000000001, 0.9823000000000001, 0.1338, 0.09050000000000001, 0.6991, 0.046700000000000005, 0.47950000000000004, -0.2928, 0.5066, -0.1655, 0.42600000000000005, 0.0592, 0.32430000000000003, 0.11910000000000001, 0.7071000000000001, 1.4866000000000001, 0.7029000000000001, 1.4011, -0.7062, 1.0201, -0.49050000000000005, 1.5093, -0.002, 1.0082, 0.007500000000000001, 0.0088, -0.0007, 0.8387, 0.004200000000000001, 0.0071, 0.0017000000000000001, 1.0178, 0.0036000000000000003, 0.0092, 0.7017, -0.0879, 0.19240000000000002, 0.0034000000000000002, 0.5354, 0.1164, -0.3257, 0.0012000000000000001, 0.6034, -0.06960000000000001, 0.012, 0.0095, -0.6023000000000001, 0.6559, -0.1825, 0.0059, 0.6881, 0.7245, 0.24280000000000002, 0.0081, -0.006500000000000001, -0.0006000000000000001, -0.0098, -0.1791, 0.7566, 0.0396, 0.112, 0.5264, 0.0053, 0.0039000000000000003, 0.0008, 0.8303, 1.0903, -0.9144, 0.8636, -0.7023], \"bitstrings\": [\"11100111\", \"11100000\"], \"total_optimization_steps\": 190, \"probabilities\": [0.26413708612810854, 0.3098635830250323], \"optimization_time\": 78.21307063102722}","-2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6)",6,8,2,"{\"smallest_eigenvalues\": [-16.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -14.5, \"smallest_bitstrings\": [\"11100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(-0.0077) q[0];\nrz(1.0208) q[0];\nrx(-0.0063) q[1];\nrz(0.7513) q[1];\nrx(0.0002) q[2];\nrz(0.9795) q[2];\nrx(0.1338) q[3];\nrz(0.0905) q[3];\nrx(0.4795) q[4];\nrz(-0.2928) q[4];\nrx(0.426) q[5];\nrz(0.0592) q[5];\nrx(0.7071) q[6];\nrz(1.4866) q[6];\nrx(-0.7062) q[7];\nrz(1.0201) q[7];\ncrx(0.112) q[7], q[6];\ncrx(0.0396) q[7], q[5];\ncrx(0.7566) q[7], q[4];\ncrx(-0.1791) q[7], q[3];\ncrx(-0.0098) q[7], q[2];\ncrx(-0.0006) q[7], q[1];\ncrx(-0.0065) q[7], q[0];\ncrx(0.5264) q[6], q[7];\ncrx(0.0396) q[6], q[5];\ncrx(0.7566) q[6], q[4];\ncrx(-0.1791) q[6], q[3];\ncrx(-0.0098) q[6], q[2];\ncrx(-0.0006) q[6], q[1];\ncrx(-0.0065) q[6], q[0];\ncrx(0.5264) q[5], q[7];\ncrx(0.112) q[5], q[6];\ncrx(0.7566) q[5], q[4];\ncrx(-0.1791) q[5], q[3];\ncrx(-0.0098) q[5], q[2];\ncrx(-0.0006) q[5], q[1];\ncrx(-0.0065) q[5], q[0];\ncrx(0.5264) q[4], q[7];\ncrx(0.112) q[4], q[6];\ncrx(0.0396) q[4], q[5];\ncrx(-0.1791) q[4], q[3];\ncrx(-0.0098) q[4], q[2];\ncrx(-0.0006) q[4], q[1];\ncrx(-0.0065) q[4], q[0];\ncrx(0.5264) q[3], q[7];\ncrx(0.112) q[3], q[6];\ncrx(0.0396) q[3], q[5];\ncrx(0.7566) q[3], q[4];\ncrx(-0.0098) q[3], q[2];\ncrx(-0.0006) q[3], q[1];\ncrx(-0.0065) q[3], q[0];\ncrx(0.5264) q[2], q[7];\ncrx(0.112) q[2], q[6];\ncrx(0.0396) q[2], q[5];\ncrx(0.7566) q[2], q[4];\ncrx(-0.1791) q[2], q[3];\ncrx(-0.0006) q[2], q[1];\ncrx(-0.0065) q[2], q[0];\ncrx(0.5264) q[1], q[7];\ncrx(0.112) q[1], q[6];\ncrx(0.0396) q[1], q[5];\ncrx(0.7566) q[1], q[4];\ncrx(-0.1791) q[1], q[3];\ncrx(-0.0098) q[1], q[2];\ncrx(-0.0065) q[1], q[0];\ncrx(0.5264) q[0], q[7];\ncrx(0.112) q[0], q[6];\ncrx(0.0396) q[0], q[5];\ncrx(0.7566) q[0], q[4];\ncrx(-0.1791) q[0], q[3];\ncrx(-0.0098) q[0], q[2];\ncrx(-0.0006) q[0], q[1];\nrx(0.0047) q[0];\nrz(0.9836) q[0];\nrx(0.0044) q[1];\nrz(0.8912) q[1];\nrx(-0.0006) q[2];\nrz(0.9823) q[2];\nrx(0.6991) q[3];\nrz(0.0467) q[3];\nrx(0.5066) q[4];\nrz(-0.1655) q[4];\nrx(0.3243) q[5];\nrz(0.1191) q[5];\nrx(0.7029) q[6];\nrz(1.4011) q[6];\nrx(-0.4905) q[7];\nrz(1.5093) q[7];\nrx(-0.002) q[0];\nrz(1.0082) q[0];\nrx(-0.0007) q[1];\nrz(0.8387) q[1];\nrx(0.0017) q[2];\nrz(1.0178) q[2];\nrx(0.7017) q[3];\nrz(-0.0879) q[3];\nrx(0.5354) q[4];\nrz(0.1164) q[4];\nrx(0.6034) q[5];\nrz(-0.0696) q[5];\nrx(-0.6023) q[6];\nrz(0.6559) q[6];\nrx(0.6881) q[7];\nrz(0.7245) q[7];\ncrx(0.8636) q[7], q[6];\ncrx(-0.9144) q[7], q[5];\ncrx(1.0903) q[7], q[4];\ncrx(0.8303) q[7], q[3];\ncrx(0.0008) q[7], q[2];\ncrx(0.0039) q[7], q[1];\ncrx(0.0053) q[7], q[0];\ncrx(-0.7023) q[6], q[7];\ncrx(-0.9144) q[6], q[5];\ncrx(1.0903) q[6], q[4];\ncrx(0.8303) q[6], q[3];\ncrx(0.0008) q[6], q[2];\ncrx(0.0039) q[6], q[1];\ncrx(0.0053) q[6], q[0];\ncrx(-0.7023) q[5], q[7];\ncrx(0.8636) q[5], q[6];\ncrx(1.0903) q[5], q[4];\ncrx(0.8303) q[5], q[3];\ncrx(0.0008) q[5], q[2];\ncrx(0.0039) q[5], q[1];\ncrx(0.0053) q[5], q[0];\ncrx(-0.7023) q[4], q[7];\ncrx(0.8636) q[4], q[6];\ncrx(-0.9144) q[4], q[5];\ncrx(0.8303) q[4], q[3];\ncrx(0.0008) q[4], q[2];\ncrx(0.0039) q[4], q[1];\ncrx(0.0053) q[4], q[0];\ncrx(-0.7023) q[3], q[7];\ncrx(0.8636) q[3], q[6];\ncrx(-0.9144) q[3], q[5];\ncrx(1.0903) q[3], q[4];\ncrx(0.0008) q[3], q[2];\ncrx(0.0039) q[3], q[1];\ncrx(0.0053) q[3], q[0];\ncrx(-0.7023) q[2], q[7];\ncrx(0.8636) q[2], q[6];\ncrx(-0.9144) q[2], q[5];\ncrx(1.0903) q[2], q[4];\ncrx(0.8303) q[2], q[3];\ncrx(0.0039) q[2], q[1];\ncrx(0.0053) q[2], q[0];\ncrx(-0.7023) q[1], q[7];\ncrx(0.8636) q[1], q[6];\ncrx(-0.9144) q[1], q[5];\ncrx(1.0903) q[1], q[4];\ncrx(0.8303) q[1], q[3];\ncrx(0.0008) q[1], q[2];\ncrx(0.0053) q[1], q[0];\ncrx(-0.7023) q[0], q[7];\ncrx(0.8636) q[0], q[6];\ncrx(-0.9144) q[0], q[5];\ncrx(1.0903) q[0], q[4];\ncrx(0.8303) q[0], q[3];\ncrx(0.0008) q[0], q[2];\ncrx(0.0039) q[0], q[1];\nrx(0.0075) q[0];\nrz(0.0088) q[0];\nrx(0.0042) q[1];\nrz(0.0071) q[1];\nrx(0.0036) q[2];\nrz(0.0092) q[2];\nrx(0.1924) q[3];\nrz(0.0034) q[3];\nrx(-0.3257) q[4];\nrz(0.0012) q[4];\nrx(0.012) q[5];\nrz(0.0095) q[5];\nrx(-0.1825) q[6];\nrz(0.0059) q[6];\nrx(0.2428) q[7];\nrz(0.0081) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x16) q[7], q[6];\ncrx(x17) q[7], q[5];\ncrx(x18) q[7], q[4];\ncrx(x19) q[7], q[3];\ncrx(x20) q[7], q[2];\ncrx(x21) q[7], q[1];\ncrx(x22) q[7], q[0];\ncrx(x23) q[6], q[7];\ncrx(x17) q[6], q[5];\ncrx(x18) q[6], q[4];\ncrx(x19) q[6], q[3];\ncrx(x20) q[6], q[2];\ncrx(x21) q[6], q[1];\ncrx(x22) q[6], q[0];\ncrx(x23) q[5], q[7];\ncrx(x16) q[5], q[6];\ncrx(x18) q[5], q[4];\ncrx(x19) q[5], q[3];\ncrx(x20) q[5], q[2];\ncrx(x21) q[5], q[1];\ncrx(x22) q[5], q[0];\ncrx(x23) q[4], q[7];\ncrx(x16) q[4], q[6];\ncrx(x17) q[4], q[5];\ncrx(x19) q[4], q[3];\ncrx(x20) q[4], q[2];\ncrx(x21) q[4], q[1];\ncrx(x22) q[4], q[0];\ncrx(x23) q[3], q[7];\ncrx(x16) q[3], q[6];\ncrx(x17) q[3], q[5];\ncrx(x18) q[3], q[4];\ncrx(x20) q[3], q[2];\ncrx(x21) q[3], q[1];\ncrx(x22) q[3], q[0];\ncrx(x23) q[2], q[7];\ncrx(x16) q[2], q[6];\ncrx(x17) q[2], q[5];\ncrx(x18) q[2], q[4];\ncrx(x19) q[2], q[3];\ncrx(x21) q[2], q[1];\ncrx(x22) q[2], q[0];\ncrx(x23) q[1], q[7];\ncrx(x16) q[1], q[6];\ncrx(x17) q[1], q[5];\ncrx(x18) q[1], q[4];\ncrx(x19) q[1], q[3];\ncrx(x20) q[1], q[2];\ncrx(x22) q[1], q[0];\ncrx(x23) q[0], q[7];\ncrx(x16) q[0], q[6];\ncrx(x17) q[0], q[5];\ncrx(x18) q[0], q[4];\ncrx(x19) q[0], q[3];\ncrx(x20) q[0], q[2];\ncrx(x21) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x21) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\nrx(x39) q[0];\nrz(x40) q[0];\nrx(x41) q[1];\nrz(x42) q[1];\nrx(x43) q[2];\nrz(x44) q[2];\nrx(x45) q[3];\nrz(x46) q[3];\nrx(x47) q[4];\nrz(x48) q[4];\nrx(x49) q[5];\nrz(x50) q[5];\nrx(x51) q[6];\nrz(x52) q[6];\nrx(x53) q[7];\nrz(x54) q[7];\ncrx(x55) q[7], q[6];\ncrx(x56) q[7], q[5];\ncrx(x57) q[7], q[4];\ncrx(x58) q[7], q[3];\ncrx(x59) q[7], q[2];\ncrx(x60) q[7], q[1];\ncrx(x61) q[7], q[0];\ncrx(x62) q[6], q[7];\ncrx(x56) q[6], q[5];\ncrx(x57) q[6], q[4];\ncrx(x58) q[6], q[3];\ncrx(x59) q[6], q[2];\ncrx(x60) q[6], q[1];\ncrx(x61) q[6], q[0];\ncrx(x62) q[5], q[7];\ncrx(x55) q[5], q[6];\ncrx(x57) q[5], q[4];\ncrx(x58) q[5], q[3];\ncrx(x59) q[5], q[2];\ncrx(x60) q[5], q[1];\ncrx(x61) q[5], q[0];\ncrx(x62) q[4], q[7];\ncrx(x55) q[4], q[6];\ncrx(x56) q[4], q[5];\ncrx(x58) q[4], q[3];\ncrx(x59) q[4], q[2];\ncrx(x60) q[4], q[1];\ncrx(x61) q[4], q[0];\ncrx(x62) q[3], q[7];\ncrx(x55) q[3], q[6];\ncrx(x56) q[3], q[5];\ncrx(x57) q[3], q[4];\ncrx(x59) q[3], q[2];\ncrx(x60) q[3], q[1];\ncrx(x61) q[3], q[0];\ncrx(x62) q[2], q[7];\ncrx(x55) q[2], q[6];\ncrx(x56) q[2], q[5];\ncrx(x57) q[2], q[4];\ncrx(x58) q[2], q[3];\ncrx(x60) q[2], q[1];\ncrx(x61) q[2], q[0];\ncrx(x62) q[1], q[7];\ncrx(x55) q[1], q[6];\ncrx(x56) q[1], q[5];\ncrx(x57) q[1], q[4];\ncrx(x58) q[1], q[3];\ncrx(x59) q[1], q[2];\ncrx(x61) q[1], q[0];\ncrx(x62) q[0], q[7];\ncrx(x55) q[0], q[6];\ncrx(x56) q[0], q[5];\ncrx(x57) q[0], q[4];\ncrx(x58) q[0], q[3];\ncrx(x59) q[0], q[2];\ncrx(x60) q[0], q[1];\nrx(x63) q[0];\nrz(x64) q[0];\nrx(x65) q[1];\nrz(x66) q[1];\nrx(x67) q[2];\nrz(x68) q[2];\nrx(x69) q[3];\nrz(x70) q[3];\nrx(x71) q[4];\nrz(x72) q[4];\nrx(x73) q[5];\nrz(x74) q[5];\nrx(x75) q[6];\nrz(x76) q[6];\nrx(x77) q[7];\nrz(x78) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["90b952fb961a71c766735ab6825a9e54","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}]}","{\"states\": [127, 126], \"expectation_value\": -15.533366414500184, \"params\": [[[0.0027, 3.1618], [0.0022, 0.0026000000000000003], [0.0018000000000000002, 0.002], [0.002, 0.002], [0.0026000000000000003, 0.0023], [-1.6393, 0.003], [0.0027, 0.0029000000000000002]]], \"bitstrings\": [\"0000000\", \"0000001\"], \"total_optimization_steps\": 320, \"probabilities\": [0.46569596770677857, 0.534179989609612], \"optimization_time\": 9.165212392807007}","-2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(6)",15,7,1,"{\"smallest_eigenvalues\": [-16.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.0, \"smallest_bitstrings\": [\"0000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nry(0.0027) q[0];\nry(0.0022) q[1];\nry(0.0018) q[2];\nry(0.002) q[3];\nry(0.0026) q[4];\nry(-1.6393) q[5];\nry(0.0027) q[6];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(3.1618) q[0];\nry(0.0026) q[1];\nry(0.002) q[2];\nry(0.002) q[3];\nry(0.0023) q[4];\nry(0.003) q[5];\nry(0.0029) q[6];\ncx q[6], q[5];\ncx q[0], q[6];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x0) q[6];\ncx q[6], q[0];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x6) q[0];\nry(x4) q[1];\nry(x3) q[2];\nry(x3) q[3];\nry(x7) q[4];\nry(x8) q[5];\nry(x9) q[6];\ncx q[6], q[5];\ncx q[0], q[6];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"node\": 6}","{\"circuits\": [], \"gradients\": []}"]
["44bf747c04df002d53e645dfd7a3d1de","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [101, 52], \"expectation_value\": -0.749987205604683, \"params\": [[0.0008, 1.5734000000000001, 1.5685, 0.0023, 0.9164, -0.0026000000000000003, 1.5732000000000002], [0.0009000000000000001, 0.004200000000000001, -0.0023, 0.9188000000000001, -1.5683, 0.0064, 0.0037], [0.0016, 2.2208, 1.5733000000000001, 0.0026000000000000003, 1.5731000000000002, 0.01, -0.0023]], \"bitstrings\": [\"0011010\", \"1001011\"], \"total_optimization_steps\": 390, \"probabilities\": [0.031643722370693475, 0.03164376757754348], \"optimization_time\": 9.360095739364624}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -0.75 * Z(0) + 0.0 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6)",9,7,3,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"1001011\", \"1011010\", \"1001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0008) q[0];\nrx(1.5734) q[1];\nrx(1.5685) q[2];\nrx(0.0023) q[3];\nrx(0.9164) q[4];\nrx(-0.0026) q[5];\nrx(1.5732) q[6];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0009) q[0];\nrx(0.0042) q[1];\nrx(-0.0023) q[2];\nrx(0.9188) q[3];\nrx(-1.5683) q[4];\nrx(0.0064) q[5];\nrx(0.0037) q[6];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0016) q[0];\nrx(2.2208) q[1];\nrx(1.5733) q[2];\nrx(0.0026) q[3];\nrx(1.5731) q[4];\nrx(0.01) q[5];\nrx(-0.0023) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nrx(x6) q[6];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x7) q[0];\nrx(x8) q[1];\nrx(x9) q[2];\nrx(x10) q[3];\nrx(x11) q[4];\nrx(x12) q[5];\nrx(x13) q[6];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x14) q[0];\nrx(x15) q[1];\nrx(x16) q[2];\nrx(x17) q[3];\nrx(x18) q[4];\nrx(x19) q[5];\nrx(x9) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["a2b703670d19247f6071de624d813f7d","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [43, 41], \"expectation_value\": -0.2340038755515595, \"params\": [[-0.056], [0.0683]], \"bitstrings\": [\"1010100\", \"1010110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008698804042841674, 0.008731307016623644], \"optimization_time\": 2.6214253902435303}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3)",1,7,1,"{\"smallest_eigenvalues\": [-5.0, -5.0, -5.0, -5.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"0110101\", \"1010110\", \"0110011\", \"1010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.056) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.056) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.056) q[2];\ncx q[0], q[2];\ncx q[0], q[6];\nrz(-0.056) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.056) q[6];\ncx q[2], q[6];\ncx q[1], q[4];\nrz(-0.056) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(-0.056) q[4];\ncx q[6], q[4];\ncx q[2], q[5];\nrz(-0.056) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(-0.056) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(-0.056) q[5];\ncx q[4], q[5];\ncx q[2], q[3];\nrz(-0.056) q[3];\ncx q[2], q[3];\nrz(0.112) q[1];\nrz(0.112) q[0];\nrz(0.224) q[2];\nrz(0.168) q[6];\nrz(0.112) q[4];\nrz(0.112) q[5];\nrz(0) q[3];\nh q[0];\nrz(0.1366) q[0];\nh q[0];\nh q[1];\nrz(0.1366) q[1];\nh q[1];\nh q[2];\nrz(0.1366) q[2];\nh q[2];\nh q[3];\nrz(0.1366) q[3];\nh q[3];\nh q[4];\nrz(0.1366) q[4];\nh q[4];\nh q[5];\nrz(0.1366) q[5];\nh q[5];\nh q[6];\nrz(0.1366) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x2) q[2];\nrz(x3) q[6];\nrz(x1) q[4];\nrz(x1) q[5];\nrz(x4) q[3];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["-1937131280463688888","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[8, 6], [9, 5], [0, 1, 2, 3, 5, 8], [3, 4, 7, 10, 11], [0, 1, 4, 7, 8, 11], [10, 6], [9, 11], [8, 10, 3, 5], [0, 2, 3, 4, 6, 9], [0, 6, 7], [1, 10, 11, 5], [0, 3, 5, 7, 8, 11], [9, 7], [0, 1, 2, 3, 8, 9, 10], [0, 2, 5, 7, 8, 10, 11], [0, 1, 4, 7, 8, 10]]}","{\"states\": [4081, 2033], \"expectation_value\": -4.352280779823316, \"params\": [2.9765, -0.8142, 2.1365000000000003, -0.0024000000000000002, 2.1853000000000002, -0.0026000000000000003, 2.395, -0.0028, 2.5957000000000003, -0.003, 2.7435, 0.0021000000000000003, 2.9936000000000003, -0.003, 3.1444, -0.0035, -0.0028, 0.8102, 0.0029000000000000002, 1.028, -0.0028, 1.5143, 2.6931000000000003, 0.009600000000000001, 1.8012000000000001, 0.9997, 0.9515, 0.742, 0.5416000000000001, 0.4036, 0.1516, 0.010100000000000001, -0.0053, 0.002, -0.0027], \"bitstrings\": [\"000000001110\", \"100000001110\"], \"total_optimization_steps\": 350, \"probabilities\": [0.42038392659986207, 0.5301276990369552], \"optimization_time\": 50.12747240066528}","0.5 * (Z(8) @ Z(6)) + 0.03333333333333333 * (Z(9) @ Z(6)) + 0.023809523809523808 * (Z(9) @ Z(8)) + 0.1738095238095238 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.19999999999999998 * (Z(0) @ Z(6)) + 0.18095238095238095 * (Z(0) @ Z(8)) + 0.05714285714285714 * (Z(0) @ Z(9)) + 0.09047619047619047 * (Z(0) @ Z(5)) + 0.12380952380952381 * (Z(1) @ Z(8)) + 0.023809523809523808 * (Z(1) @ Z(9)) + 0.11666666666666667 * (Z(1) @ Z(5)) + 0.12380952380952381 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(6)) + 0.08095238095238094 * (Z(2) @ Z(8)) + 0.05714285714285714 * (Z(2) @ Z(9)) + 0.05714285714285714 * (Z(2) @ Z(5)) + 0.11428571428571428 * (Z(2) @ Z(0)) + 0.05714285714285714 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(6)) + 0.1738095238095238 * (Z(3) @ Z(8)) + 0.05714285714285714 * (Z(3) @ Z(9)) + 0.15 * (Z(3) @ Z(5)) + 0.12380952380952381 * (Z(3) @ Z(0)) + 0.05714285714285714 * (Z(3) @ Z(1)) + 0.09047619047619047 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(6)) + 0.06666666666666667 * (Z(4) @ Z(8)) + 0.03333333333333333 * (Z(4) @ Z(9)) + 0.1 * (Z(4) @ Z(0)) + 0.06666666666666667 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333334 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.12380952380952381 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(9)) + 0.05714285714285714 * (Z(7) @ Z(5)) + 0.29047619047619044 * (Z(7) @ Z(0)) + 0.06666666666666667 * (Z(7) @ Z(1)) + 0.023809523809523808 * (Z(7) @ Z(2)) + 0.08333333333333334 * (Z(7) @ Z(3)) + 0.11666666666666667 * (Z(7) @ Z(4)) + 0.5 * (Z(10) @ Z(6)) + 0.16428571428571426 * (Z(10) @ Z(8)) + 0.023809523809523808 * (Z(10) @ Z(9)) + 0.19047619047619047 * (Z(10) @ Z(5)) + 0.08095238095238094 * (Z(10) @ Z(0)) + 0.14047619047619048 * (Z(10) @ Z(1)) + 0.047619047619047616 * (Z(10) @ Z(2)) + 0.15714285714285714 * (Z(10) @ Z(3)) + 0.08333333333333334 * (Z(10) @ Z(4)) + 0.10714285714285715 * (Z(10) @ Z(7)) + 0.09047619047619047 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + 0.14047619047619048 * (Z(11) @ Z(5)) + 0.09047619047619047 * (Z(11) @ Z(0)) + 0.11666666666666667 * (Z(11) @ Z(1)) + 0.023809523809523808 * (Z(11) @ Z(2)) + 0.08333333333333334 * (Z(11) @ Z(3)) + 0.08333333333333334 * (Z(11) @ Z(4)) + 0.14047619047619048 * (Z(11) @ Z(7)) + 0.15714285714285714 * (Z(11) @ Z(10)) + 0.25 * Z(6) + 0.601190476190476 * Z(8) + 0.15476190476190488 * Z(9) + 0.48809523809523814 * Z(5) + 0.7261904761904759 * Z(0) + 0.44642857142857145 * Z(1) + 0.30952380952380965 * Z(2) + 0.5464285714285714 * Z(3) + 0.3500000000000001 * Z(4) + 0.588095238095238 * Z(7) + 0.5761904761904761 * Z(10) + 0.4630952380952379 * Z(11)",4,12,1,"{\"smallest_eigenvalues\": [-4.492857142857142], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.476190476190475, \"smallest_bitstrings\": [\"100000001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(2.9765) q[0];\nrz(-0.8142) q[0];\nrx(2.1365) q[1];\nrz(-0.0024) q[1];\nrx(2.1853) q[2];\nrz(-0.0026) q[2];\nrx(2.395) q[3];\nrz(-0.0028) q[3];\nrx(2.5957) q[4];\nrz(-0.003) q[4];\nrx(2.7435) q[5];\nrz(0.0021) q[5];\nrx(2.9936) q[6];\nrz(-0.003) q[6];\nrx(3.1444) q[7];\nrz(-0.0035) q[7];\nrx(-0.0028) q[8];\nrz(0.8102) q[8];\nrx(0.0029) q[9];\nrz(1.028) q[9];\nrx(-0.0028) q[10];\nrz(1.5143) q[10];\nrx(2.6931) q[11];\nrz(0.0096) q[11];\ncrx(-0.0027) q[11], q[10];\ncrx(0.002) q[10], q[9];\ncrx(-0.0053) q[9], q[8];\ncrx(0.0101) q[8], q[7];\ncrx(0.1516) q[7], q[6];\ncrx(0.4036) q[6], q[5];\ncrx(0.5416) q[5], q[4];\ncrx(0.742) q[4], q[3];\ncrx(0.9515) q[3], q[2];\ncrx(0.9997) q[2], q[1];\ncrx(1.8012) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x9) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x7) q[8];\nrz(x15) q[8];\nrx(x16) q[9];\nrz(x17) q[9];\nrx(x7) q[10];\nrz(x18) q[10];\nrx(x19) q[11];\nrz(x20) q[11];\ncrx(x21) q[11], q[10];\ncrx(x22) q[10], q[9];\ncrx(x23) q[9], q[8];\ncrx(x24) q[8], q[7];\ncrx(x25) q[7], q[6];\ncrx(x26) q[6], q[5];\ncrx(x27) q[5], q[4];\ncrx(x28) q[4], q[3];\ncrx(x29) q[3], q[2];\ncrx(x30) q[2], q[1];\ncrx(x31) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["-7725280652135298074","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 4], [0, 5], [2, 4], [1, 2, 5], [0, 2, 3], [0, 1], [0, 6], [2, 6, 7], [0, 4]]}","{\"states\": [95, 225], \"expectation_value\": -0.09015549617644747, \"params\": [[-0.0761], [0.0777]], \"bitstrings\": [\"10100000\", \"00011110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004388777236133345, 0.004424072874094103], \"optimization_time\": 2.5275216102600098}","0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.0 * Z(4) + 0.16666666666666696 * Z(1) + 0.16666666666666696 * Z(0) + 0.16666666666666663 * Z(5) + 0.5000000000000001 * Z(2) + 0.16666666666666666 * Z(3) + 0.16666666666666663 * Z(6) + 0.16666666666666666 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-3.0000000000000004], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.6666666666666674, \"smallest_bitstrings\": [\"00011110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[1];\nrz(-0.0761) q[1];\ncx q[4], q[1];\ncx q[4], q[0];\nrz(-0.0761) q[0];\ncx q[4], q[0];\ncx q[1], q[0];\nrz(-0.0761) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(-0.0254) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0761) q[5];\ncx q[0], q[5];\ncx q[4], q[2];\nrz(-0.0761) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(-0.0254) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0254) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(-0.0254) q[2];\ncx q[5], q[2];\ncx q[0], q[3];\nrz(-0.0254) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0254) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(-0.0761) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0254) q[6];\ncx q[2], q[6];\ncx q[2], q[7];\nrz(-0.0254) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(-0.0254) q[7];\ncx q[6], q[7];\nrz(0) q[4];\nrz(-0.0254) q[1];\nrz(-0.0254) q[0];\nrz(-0.0254) q[5];\nrz(-0.0761) q[2];\nrz(-0.0254) q[3];\nrz(-0.0254) q[6];\nrz(-0.0254) q[7];\nh q[0];\nrz(0.1554) q[0];\nh q[0];\nh q[1];\nrz(0.1554) q[1];\nh q[1];\nh q[2];\nrz(0.1554) q[2];\nh q[2];\nh q[3];\nrz(0.1554) q[3];\nh q[3];\nh q[4];\nrz(0.1554) q[4];\nh q[4];\nh q[5];\nrz(0.1554) q[5];\nh q[5];\nh q[6];\nrz(0.1554) q[6];\nh q[6];\nh q[7];\nrz(0.1554) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(x1) q[2];\ncx q[5], q[2];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\nrz(x2) q[4];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[5];\nrz(x0) q[2];\nrz(x1) q[3];\nrz(x1) q[6];\nrz(x1) q[7];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\nh q[6];\nrz(x3) q[6];\nh q[6];\nh q[7];\nrz(x3) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["21dda983a8fde827e386733ca5f6effd","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}, {\"id\": 13}, {\"id\": 14}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}, {\"source\": 8, \"target\": 10}, {\"source\": 8, \"target\": 12}, {\"source\": 8, \"target\": 14}, {\"source\": 9, \"target\": 10}, {\"source\": 9, \"target\": 11}, {\"source\": 9, \"target\": 13}, {\"source\": 9, \"target\": 14}, {\"source\": 10, \"target\": 11}, {\"source\": 10, \"target\": 12}, {\"source\": 10, \"target\": 13}, {\"source\": 10, \"target\": 14}, {\"source\": 11, \"target\": 12}, {\"source\": 11, \"target\": 13}, {\"source\": 12, \"target\": 13}]}","{\"states\": [0, 16383], \"expectation_value\": -67.63313208405647, \"params\": [[[-0.0025, 1.6043], [0.0021000000000000003, 0.0024000000000000002], [0.0024000000000000002, 0.0019], [0.0019, 0.002], [0.0019, 0.0019], [0.002, 0.0022], [-0.0032, 0.0021000000000000003], [0.0018000000000000002, 0.0025], [0.0021000000000000003, 0.0021000000000000003], [0.0019, 0.002], [0.0023, 0.002], [0.002, 0.0021000000000000003], [0.0022, 0.002], [0.0021000000000000003, 0.0022]]], \"bitstrings\": [\"11111111111111\", \"00000000000000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.4832110034293391, 0.5167576202378938], \"optimization_time\": 16.54487156867981}","-4.0 * (Z(0) @ Z(1)) + 1.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(0)) + -3.5 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(0)) + -3.5 * (Z(8) @ Z(7)) + 1.5 * (Z(9) @ Z(1)) + -3.5 * (Z(9) @ Z(0)) + 1.0 * (Z(9) @ Z(7)) + -3.0 * (Z(9) @ Z(8)) + 0.5 * (Z(11) @ Z(1)) + -3.0 * (Z(11) @ Z(0)) + -2.0 * (Z(11) @ Z(7)) + 1.0 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + -3.0 * (Z(10) @ Z(1)) + 1.5 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(7)) + -3.5 * (Z(10) @ Z(8)) + -3.0 * (Z(10) @ Z(9)) + -3.5 * (Z(12) @ Z(2)) + -3.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(12)) + -3.5 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(12)) + 1.0 * (Z(6) @ Z(4)) + -3.5 * (Z(13) @ Z(2)) + 1.0 * (Z(13) @ Z(12)) + 1.5 * (Z(13) @ Z(4)) + -3.0 * (Z(13) @ Z(6)) + -3.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(12)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(6)) + -3.0 * (Z(3) @ Z(13)) + -3.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(12)) + -3.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(13)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(7) + 1.5 * Z(8) + 1.0 * Z(9) + 0.5 * Z(11) + -2.0 * Z(10) + 0.5 * Z(2) + 0.5 * Z(12) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(13) + 0.5 * Z(3) + 0.5 * Z(5)",15,14,1,"{\"smallest_eigenvalues\": [-71.49999999999997], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -70.49999999999945, \"smallest_bitstrings\": [\"00000000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nry(-0.0025) q[0];\nry(0.0021) q[1];\nry(0.0024) q[2];\nry(0.0019) q[3];\nry(0.0019) q[4];\nry(0.002) q[5];\nry(-0.0032) q[6];\nry(0.0018) q[7];\nry(0.0021) q[8];\nry(0.0019) q[9];\nry(0.0023) q[10];\nry(0.002) q[11];\nry(0.0022) q[12];\nry(0.0021) q[13];\ncx q[13], q[0];\ncx q[12], q[13];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.6043) q[0];\nry(0.0024) q[1];\nry(0.0019) q[2];\nry(0.002) q[3];\nry(0.0019) q[4];\nry(0.0022) q[5];\nry(0.0021) q[6];\nry(0.0025) q[7];\nry(0.0021) q[8];\nry(0.002) q[9];\nry(0.002) q[10];\nry(0.0021) q[11];\nry(0.002) q[12];\nry(0.0022) q[13];\ncx q[13], q[12];\ncx q[0], q[13];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\ncx q[11], q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[14] c;\nqubit[14] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x3) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x6) q[7];\nry(x1) q[8];\nry(x3) q[9];\nry(x7) q[10];\nry(x4) q[11];\nry(x8) q[12];\nry(x1) q[13];\ncx q[13], q[0];\ncx q[12], q[13];\ncx q[11], q[12];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x2) q[1];\nry(x3) q[2];\nry(x4) q[3];\nry(x3) q[4];\nry(x8) q[5];\nry(x1) q[6];\nry(x10) q[7];\nry(x1) q[8];\nry(x4) q[9];\nry(x4) q[10];\nry(x1) q[11];\nry(x4) q[12];\nry(x8) q[13];\ncx q[13], q[12];\ncx q[0], q[13];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\ncx q[10], q[11];\ncx q[11], q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","{\"node\": 6}","{\"circuits\": [], \"gradients\": []}"]
["b6a304d520c14d5694a43ad2063dd94f","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 5, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 5, \"source\": 3, \"target\": 4}]}","{\"states\": [16, 15], \"expectation_value\": -2.640432316285178, \"params\": [[-0.066, -0.0688, -0.0776, -0.08360000000000001], [0.07060000000000001, 0.0665, 0.0699, 0.07390000000000001]], \"bitstrings\": [\"01111\", \"10000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.08911999905495926, 0.1006763650561535], \"optimization_time\": 4.944117784500122}","-0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3)",1,5,4,"{\"smallest_eigenvalues\": [-5.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.75, \"smallest_bitstrings\": [\"10000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(0.066) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.264) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.066) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.033) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.165) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(0.033) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.165) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.165) q[3];\ncx q[4], q[3];\nrz(0) q[1];\nrz(0.033) q[0];\nrz(-0.033) q[2];\nrz(0.033) q[4];\nrz(-0.033) q[3];\nh q[0];\nrz(0.1412) q[0];\nh q[0];\nh q[1];\nrz(0.1412) q[1];\nh q[1];\nh q[2];\nrz(0.1412) q[2];\nh q[2];\nh q[3];\nrz(0.1412) q[3];\nh q[3];\nh q[4];\nrz(0.1412) q[4];\nh q[4];\ncx q[1], q[0];\nrz(0.0688) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2752) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0688) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.0344) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.172) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(0.0344) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.172) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.172) q[3];\ncx q[4], q[3];\nrz(0) q[1];\nrz(0.0344) q[0];\nrz(-0.0344) q[2];\nrz(0.0344) q[4];\nrz(-0.0344) q[3];\nh q[0];\nrz(0.133) q[0];\nh q[0];\nh q[1];\nrz(0.133) q[1];\nh q[1];\nh q[2];\nrz(0.133) q[2];\nh q[2];\nh q[3];\nrz(0.133) q[3];\nh q[3];\nh q[4];\nrz(0.133) q[4];\nh q[4];\ncx q[1], q[0];\nrz(0.0776) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.3104) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0776) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.0388) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.194) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(0.0388) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.194) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.194) q[3];\ncx q[4], q[3];\nrz(0) q[1];\nrz(0.0388) q[0];\nrz(-0.0388) q[2];\nrz(0.0388) q[4];\nrz(-0.0388) q[3];\nh q[0];\nrz(0.1398) q[0];\nh q[0];\nh q[1];\nrz(0.1398) q[1];\nh q[1];\nh q[2];\nrz(0.1398) q[2];\nh q[2];\nh q[3];\nrz(0.1398) q[3];\nh q[3];\nh q[4];\nrz(0.1398) q[4];\nh q[4];\ncx q[1], q[0];\nrz(0.0836) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.3344) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0836) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.0418) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.209) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(0.0418) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.209) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.209) q[3];\ncx q[4], q[3];\nrz(0) q[1];\nrz(0.0418) q[0];\nrz(-0.0418) q[2];\nrz(0.0418) q[4];\nrz(-0.0418) q[3];\nh q[0];\nrz(0.1478) q[0];\nh q[0];\nh q[1];\nrz(0.1478) q[1];\nh q[1];\nh q[2];\nrz(0.1478) q[2];\nh q[2];\nh q[3];\nrz(0.1478) q[3];\nh q[3];\nh q[4];\nrz(0.1478) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x3) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x4) q[3];\ncx q[4], q[3];\nrz(x5) q[1];\nrz(x2) q[0];\nrz(x6) q[2];\nrz(x2) q[4];\nrz(x6) q[3];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x12) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x12) q[3];\ncx q[4], q[3];\nrz(x5) q[1];\nrz(x10) q[0];\nrz(x13) q[2];\nrz(x10) q[4];\nrz(x13) q[3];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nh q[4];\nrz(x14) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x15) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x16) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x15) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x17) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x18) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(x17) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x19) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x19) q[3];\ncx q[4], q[3];\nrz(x5) q[1];\nrz(x17) q[0];\nrz(x20) q[2];\nrz(x17) q[4];\nrz(x20) q[3];\nh q[0];\nrz(x21) q[0];\nh q[0];\nh q[1];\nrz(x21) q[1];\nh q[1];\nh q[2];\nrz(x21) q[2];\nh q[2];\nh q[3];\nrz(x21) q[3];\nh q[3];\nh q[4];\nrz(x21) q[4];\nh q[4];\ncx q[1], q[0];\nrz(x22) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x23) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x22) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x24) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x25) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(x24) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x26) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x26) q[3];\ncx q[4], q[3];\nrz(x5) q[1];\nrz(x24) q[0];\nrz(x27) q[2];\nrz(x24) q[4];\nrz(x27) q[3];\nh q[0];\nrz(x28) q[0];\nh q[0];\nh q[1];\nrz(x28) q[1];\nh q[1];\nh q[2];\nrz(x28) q[2];\nh q[2];\nh q[3];\nrz(x28) q[3];\nh q[3];\nh q[4];\nrz(x28) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","{\"source\": 0, \"sink\": 4}","{\"circuits\": [], \"gradients\": []}"]
["95b1142ae8d79cc944e68dc71d440182","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 7, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 6, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 5, \"source\": 4, \"target\": 3}]}","{\"states\": [0, 1], \"expectation_value\": -6.120010735508529, \"params\": [[[0.0024000000000000002, 0.34750000000000003], [0.0022, 0.45530000000000004], [0.003, 0.45080000000000003], [0.0007, 0.4451], [0.001, 0.4687], [0.6059, 0.0037]], [[0.0037, 0.3749], [0.0043, 0.446], [0.0026000000000000003, 0.4635], [0.0071, 0.442], [0.0048000000000000004, 0.42610000000000003], [0.6014, 0.0037]], [[0.0025, 0.003], [0.0022, 0.0089], [0.0029000000000000002, 0.0091], [0.0006000000000000001, 0.0066], [0.0008, 0.0008], [0.6066, 0.0025]]], \"bitstrings\": [\"111111\", \"111110\"], \"total_optimization_steps\": 60, \"probabilities\": [0.37960078134167763, 0.6203220435464617], \"optimization_time\": 2.963118553161621}","-0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4)",1,6,3,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"111110\", \"110000\", \"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.0024) q[0];\nrz(0.3475) q[0];\nrx(0.0022) q[1];\nrz(0.4553) q[1];\nrx(0.003) q[2];\nrz(0.4508) q[2];\nrx(0.0007) q[3];\nrz(0.4451) q[3];\nrx(0.001) q[4];\nrz(0.4687) q[4];\nrx(0.6059) q[5];\nrz(0.0037) q[5];\nrx(0.0037) q[0];\nrz(0.3749) q[0];\nrx(0.0043) q[1];\nrz(0.446) q[1];\nrx(0.0026) q[2];\nrz(0.4635) q[2];\nrx(0.0071) q[3];\nrz(0.442) q[3];\nrx(0.0048) q[4];\nrz(0.4261) q[4];\nrx(0.6014) q[5];\nrz(0.0037) q[5];\nrx(0.0025) q[0];\nrz(0.003) q[0];\nrx(0.0022) q[1];\nrz(0.0089) q[1];\nrx(0.0029) q[2];\nrz(0.0091) q[2];\nrx(0.0006) q[3];\nrz(0.0066) q[3];\nrx(0.0008) q[4];\nrz(0.0008) q[4];\nrx(0.6066) q[5];\nrz(0.0025) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x11) q[0];\nrz(x12) q[0];\nrx(x13) q[1];\nrz(x14) q[1];\nrx(x15) q[2];\nrz(x16) q[2];\nrx(x17) q[3];\nrz(x18) q[3];\nrx(x19) q[4];\nrz(x20) q[4];\nrx(x21) q[5];\nrz(x11) q[5];\nrx(x22) q[0];\nrz(x4) q[0];\nrx(x2) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x22) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["6895315839959659397","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 1, 2, 6, 7, 8], [1, 3, 5, 6, 7, 8], [2, 4, 6], [0, 2, 3, 4, 5, 8], [0, 3, 4, 6], [0, 3, 5, 6, 7, 8], [1, 4, 6, 7], [0, 1, 5], [8, 4, 5, 6], [8, 2, 4, 7], [1, 2, 3, 4]]}","{\"states\": [485, 237], \"expectation_value\": -1.0360807784619115, \"params\": [[-0.2456], [0.2555]], \"bitstrings\": [\"000011010\", \"100010010\"], \"total_optimization_steps\": 30, \"probabilities\": [0.0039669707034932535, 0.003973542477643866], \"optimization_time\": 2.070307970046997}","0.19999999999999998 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.15 * (Z(6) @ Z(1)) + 0.15 * (Z(6) @ Z(0)) + 0.19999999999999998 * (Z(6) @ Z(2)) + 0.15 * (Z(7) @ Z(1)) + 0.06666666666666667 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.06666666666666667 * (Z(8) @ Z(1)) + 0.1 * (Z(8) @ Z(0)) + 0.15 * (Z(8) @ Z(2)) + 0.18333333333333335 * (Z(8) @ Z(6)) + 0.18333333333333335 * (Z(8) @ Z(7)) + 0.11666666666666667 * (Z(3) @ Z(1)) + 0.15 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(3) @ Z(2)) + 0.15 * (Z(3) @ Z(6)) + 0.06666666666666667 * (Z(3) @ Z(7)) + 0.1 * (Z(3) @ Z(8)) + 0.19999999999999998 * (Z(5) @ Z(1)) + 0.23333333333333334 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.15 * (Z(5) @ Z(6)) + 0.06666666666666667 * (Z(5) @ Z(7)) + 0.18333333333333335 * (Z(5) @ Z(8)) + 0.1 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(0)) + 0.36666666666666664 * (Z(4) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.2 * (Z(4) @ Z(8)) + 0.2 * (Z(4) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(5)) + 0.5833333333333335 * Z(1) + 0.5416666666666666 * Z(0) + 0.5833333333333335 * Z(2) + 0.7916666666666664 * Z(6) + 0.5 * Z(7) + 0.5833333333333335 * Z(8) + 0.5 * Z(3) + 0.5416666666666666 * Z(5) + 0.8749999999999998 * Z(4)",1,9,1,"{\"smallest_eigenvalues\": [-2.4333333333333336, -2.4333333333333336], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.383333333333333, \"smallest_bitstrings\": [\"100010010\", \"000011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.0982) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0573) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0327) q[2];\ncx q[0], q[2];\ncx q[1], q[6];\nrz(-0.0737) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0737) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0982) q[6];\ncx q[2], q[6];\ncx q[1], q[7];\nrz(-0.0737) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(-0.0327) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(-0.0573) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(-0.0901) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(-0.0327) q[8];\ncx q[1], q[8];\ncx q[0], q[8];\nrz(-0.0491) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(-0.0737) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(-0.0901) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(-0.0901) q[8];\ncx q[7], q[8];\ncx q[1], q[3];\nrz(-0.0573) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0737) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0573) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(-0.0737) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(-0.0327) q[3];\ncx q[7], q[3];\ncx q[8], q[3];\nrz(-0.0491) q[3];\ncx q[8], q[3];\ncx q[1], q[5];\nrz(-0.0982) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.1146) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0164) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(-0.0737) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(-0.0327) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(-0.0901) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(-0.0491) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(-0.0819) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0573) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1801) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(-0.2047) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(-0.0819) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(-0.0982) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(-0.0982) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(-0.0573) q[4];\ncx q[5], q[4];\nrz(-0.2865) q[1];\nrz(-0.2661) q[0];\nrz(-0.2865) q[2];\nrz(-0.3889) q[6];\nrz(-0.2456) q[7];\nrz(-0.2865) q[8];\nrz(-0.2456) q[3];\nrz(-0.2661) q[5];\nrz(-0.4298) q[4];\nh q[0];\nrz(0.511) q[0];\nh q[0];\nh q[1];\nrz(0.511) q[1];\nh q[1];\nh q[2];\nrz(0.511) q[2];\nh q[2];\nh q[3];\nrz(0.511) q[3];\nh q[3];\nh q[4];\nrz(0.511) q[4];\nh q[4];\nh q[5];\nrz(0.511) q[5];\nh q[5];\nh q[6];\nrz(0.511) q[6];\nh q[6];\nh q[7];\nrz(0.511) q[7];\nh q[7];\nh q[8];\nrz(0.511) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[1], q[6];\nrz(x3) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[0], q[7];\nrz(x2) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(x4) q[7];\ncx q[6], q[7];\ncx q[1], q[8];\nrz(x2) q[8];\ncx q[1], q[8];\ncx q[0], q[8];\nrz(x5) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(x3) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x4) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x4) q[8];\ncx q[7], q[8];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x3) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[6], q[3];\nrz(x3) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(x2) q[3];\ncx q[7], q[3];\ncx q[8], q[3];\nrz(x5) q[3];\ncx q[8], q[3];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x7) q[5];\ncx q[2], q[5];\ncx q[6], q[5];\nrz(x3) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(x2) q[5];\ncx q[7], q[5];\ncx q[8], q[5];\nrz(x4) q[5];\ncx q[8], q[5];\ncx q[3], q[5];\nrz(x5) q[5];\ncx q[3], q[5];\ncx q[1], q[4];\nrz(x8) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\ncx q[6], q[4];\nrz(x10) q[4];\ncx q[6], q[4];\ncx q[7], q[4];\nrz(x8) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(x0) q[4];\ncx q[8], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[5], q[4];\nrz(x1) q[4];\ncx q[5], q[4];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x11) q[2];\nrz(x13) q[6];\nrz(x14) q[7];\nrz(x11) q[8];\nrz(x14) q[3];\nrz(x12) q[5];\nrz(x15) q[4];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nh q[6];\nrz(x16) q[6];\nh q[6];\nh q[7];\nrz(x16) q[7];\nh q[7];\nh q[8];\nrz(x16) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["f42f60bb0bb033a90edc3f33834ff9ec","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 8}, {\"weight\": 4, \"source\": 1, \"target\": 9}, {\"weight\": 16, \"source\": 1, \"target\": 14}, {\"weight\": 6, \"source\": 2, \"target\": 10}, {\"weight\": 19, \"source\": 2, \"target\": 12}, {\"weight\": 8, \"source\": 3, \"target\": 11}, {\"weight\": 9, \"source\": 4, \"target\": 12}, {\"weight\": 1, \"source\": 5, \"target\": 13}, {\"weight\": 12, \"source\": 5, \"target\": 10}, {\"weight\": 14, \"source\": 5, \"target\": 11}, {\"weight\": 3, \"source\": 6, \"target\": 14}, {\"weight\": 17, \"source\": 7, \"target\": 12}]}","{\"states\": [1161, 1177], \"expectation_value\": -49.6865683119268, \"params\": [[[-0.0045000000000000005, -0.0033], [1.5670000000000002, 1.5683], [-0.8602000000000001, 1.5686], [-1.0489, 1.5434], [1.4314, 1.6199000000000001], [-1.5844, 1.5681], [-0.38770000000000004, 1.5811000000000002], [1.8097, 0.0398], [1.7955, 0.3105], [1.1459000000000001, 0.3398], [1.7971000000000001, 0.5975], [-0.0029000000000000002, 1.0667]]], \"bitstrings\": [\"101101110110\", \"101101100110\"], \"total_optimization_steps\": 180, \"probabilities\": [0.05599550875508401, 0.0605462335133886], \"optimization_time\": 13.595026016235352}","8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(11) @ Z(4)) + 8.0 * (Z(11) @ Z(6)) + -6.0 * Z(2) + 8.0 * Z(1) + 17.5 * Z(4) + 3.0 * Z(3) + 4.5 * Z(6) + 14.0 * Z(7) + 15.0 * Z(8) + -4.0 * Z(5) + 0.5 * Z(9) + -6.5 * Z(10) + 8.5 * Z(11) + -15.5 * Z(0)",15,12,1,"{\"smallest_eigenvalues\": [-143.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -135.0, \"smallest_bitstrings\": [\"101101100110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.0045) q[0];\nry(1.567) q[1];\nry(-0.8602) q[2];\nry(-1.0489) q[3];\nry(1.4314) q[4];\nry(-1.5844) q[5];\nry(-0.3877) q[6];\nry(1.8097) q[7];\nry(1.7955) q[8];\nry(1.1459) q[9];\nry(1.7971) q[10];\nry(-0.0029) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0033) q[0];\nry(1.5683) q[1];\nry(1.5686) q[2];\nry(1.5434) q[3];\nry(1.6199) q[4];\nry(1.5681) q[5];\nry(1.5811) q[6];\nry(0.0398) q[7];\nry(0.3105) q[8];\nry(0.3398) q[9];\nry(0.5975) q[10];\nry(1.0667) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x12) q[0];\nry(x13) q[1];\nry(x14) q[2];\nry(x15) q[3];\nry(x16) q[4];\nry(x17) q[5];\nry(x18) q[6];\nry(x19) q[7];\nry(x20) q[8];\nry(x21) q[9];\nry(x22) q[10];\nry(x23) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7], \\\"right_nodes\\\": [8, 9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["d145df48f3d4b9dacf7afcdf50767dfd","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 5}, {\"weight\": 13, \"source\": 0, \"target\": 6}, {\"weight\": 1, \"source\": 1, \"target\": 6}, {\"weight\": 6, \"source\": 2, \"target\": 7}, {\"weight\": 19, \"source\": 2, \"target\": 12}, {\"weight\": 7, \"source\": 3, \"target\": 8}, {\"weight\": 11, \"source\": 3, \"target\": 10}, {\"weight\": 1, \"source\": 4, \"target\": 9}, {\"weight\": 11, \"source\": 4, \"target\": 12}, {\"weight\": 20, \"source\": 4, \"target\": 11}]}","{\"states\": [343, 342], \"expectation_value\": -25.820143698876965, \"params\": [0.2594, 0.0009000000000000001, 1.713, 0.0004, 0.0015, 0.0028, 1.7002000000000002, 0.007, 0.2762, 0.0004, 1.7053, 0.0056, 0.44630000000000003, 0.0063, 1.7042000000000002, 0.006500000000000001, 1.7058, 0.002, 1.52, 0.003, 0.0098, 0.0024000000000000002, 0.0023, 0.0006000000000000001, 0.0095, 0.0048000000000000004, 0.0099, 0.007500000000000001, 0.00030000000000000003, 0.008], \"bitstrings\": [\"1010101000\", \"1010101001\"], \"total_optimization_steps\": 170, \"probabilities\": [0.025570957497882733, 0.02830711547626322], \"optimization_time\": 24.696521997451782}","7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 6.5 * Z(1) + -4.0 * Z(0) + -6.5 * Z(2) + -4.0 * Z(4) + 9.5 * Z(3) + -1.5 * Z(5) + -3.5 * Z(6) + 10.0 * Z(7) + 0.5 * Z(9) + 12.5 * Z(8)",18,10,1,"{\"smallest_eigenvalues\": [-82.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -78.5, \"smallest_bitstrings\": [\"1010101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.2594) q[0];\nrz(0.0009) q[0];\nrx(1.713) q[1];\nrz(0.0004) q[1];\nrx(0.0015) q[2];\nrz(0.0028) q[2];\nrx(1.7002) q[3];\nrz(0.007) q[3];\nrx(0.2762) q[4];\nrz(0.0004) q[4];\nrx(1.7053) q[5];\nrz(0.0056) q[5];\nrx(0.4463) q[6];\nrz(0.0063) q[6];\nrx(1.7042) q[7];\nrz(0.0065) q[7];\nrx(1.7058) q[8];\nrz(0.002) q[8];\nrx(1.52) q[9];\nrz(0.003) q[9];\ncrz(0.0098) q[9], q[0];\ncrz(0.008) q[8], q[9];\ncrz(0.0003) q[7], q[8];\ncrz(0.0075) q[6], q[7];\ncrz(0.0099) q[5], q[6];\ncrz(0.0048) q[4], q[5];\ncrz(0.0095) q[3], q[4];\ncrz(0.0006) q[2], q[3];\ncrz(0.0023) q[1], q[2];\ncrz(0.0024) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x3) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrz(x19) q[9], q[0];\ncrz(x20) q[8], q[9];\ncrz(x21) q[7], q[8];\ncrz(x22) q[6], q[7];\ncrz(x23) q[5], q[6];\ncrz(x24) q[4], q[5];\ncrz(x25) q[3], q[4];\ncrz(x26) q[2], q[3];\ncrz(x27) q[1], q[2];\ncrz(x28) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4], \\\"right_nodes\\\": [5, 6, 7, 8, 9, 10, 11, 12]}\"}","{\"circuits\": [], \"gradients\": []}"]
["0f1d9308b8b1d06d30bfa4de6cbc9040","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [50, 56], \"expectation_value\": -4.999937482230923, \"params\": null, \"bitstrings\": [\"001101\", \"000111\"], \"total_optimization_steps\": 26, \"probabilities\": [1.6356491498964233e-05, 0.9999687417494828], \"optimization_time\": 35.2318594455719}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2)",1,6,1,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nry(-1.5681) q[5];\nry(-1.4449) q[4];\nry(1.4449) q[0];\nry(1.4417) q[1];\nry(1.4417) q[2];\ncry(-0.1259) q[2], q[4];\ncry(0.1217) q[0], q[1];\ncry(0.1216) q[1], q[2];\ncry(0.1186) q[2], q[0];\ncry(-0.0027) q[2], q[5];\ncry(-0.0005) q[1], q[4];\ncry(0.0074) q[2], q[1];\ncry(0.0069) q[0], q[2];\ncry(0.0067) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\ncry(-0.0005) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[3];\\nry(-1.5681) q[5];\\nry(-1.4449) q[4];\\nry(1.4449) q[0];\\nry(1.4417) q[1];\\nry(1.4417) q[2];\\ncry(-0.1259) q[2], q[4];\\ncry(0.1217) q[0], q[1];\\ncry(0.1216) q[1], q[2];\\ncry(0.1186) q[2], q[0];\\ncry(-0.0027) q[2], q[5];\\ncry(-0.0005) q[1], q[4];\\ncry(0.0074) q[2], q[1];\\ncry(0.0069) q[0], q[2];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [2.0112, 1.0052, 0.5023, 0.5004, 0.4961, 0.4958, 0.1916, 0.0631, 0.0633, 0.0617, 0.01, 0.0086, 0.0075, 0.0075, 0.006, 0.006, 0.005, 0.005, 0.0045, 0.0045, 0.0038, 0.0034, 0.0031, 0.003, 0.003, 0.003]}"]
["bd93bde5e767772200a1d39b0575c595","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 8}, {\"capacity\": 4, \"source\": 0, \"target\": 9}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 4, \"source\": 1, \"target\": 9}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 6, \"target\": 2}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 5, \"source\": 7, \"target\": 2}, {\"capacity\": 4, \"source\": 7, \"target\": 5}, {\"capacity\": 3, \"source\": 7, \"target\": 6}, {\"capacity\": 3, \"source\": 8, \"target\": 2}, {\"capacity\": 1, \"source\": 8, \"target\": 5}, {\"capacity\": 5, \"source\": 8, \"target\": 6}, {\"capacity\": 4, \"source\": 8, \"target\": 9}]}","{\"states\": [1022, 3], \"expectation_value\": -3.9196669427880133, \"params\": [[0.1564], [-0.1463]], \"bitstrings\": [\"0000000001\", \"1111111100\"], \"total_optimization_steps\": 20, \"probabilities\": [0.004197656253716651, 0.004894261587537794], \"optimization_time\": 3.984257459640503}","-0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(4) + 2.5 * Z(8) + 0.5 * Z(9) + -2.25 * Z(2) + 0.0 * Z(3) + -0.5 * Z(5) + -2.0 * Z(6) + 1.75 * Z(7)",1,10,1,"{\"smallest_eigenvalues\": [-16.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.25, \"smallest_bitstrings\": [\"1111111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(-0.2346) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(-0.1564) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.2346) q[4];\ncx q[0], q[4];\ncx q[0], q[8];\nrz(-0.2346) q[8];\ncx q[0], q[8];\ncx q[1], q[9];\nrz(-0.3128) q[9];\ncx q[1], q[9];\ncx q[0], q[9];\nrz(0.782) q[9];\ncx q[0], q[9];\ncx q[8], q[9];\nrz(-0.3128) q[9];\ncx q[8], q[9];\ncx q[1], q[2];\nrz(-0.0782) q[2];\ncx q[1], q[2];\ncx q[8], q[2];\nrz(-0.2346) q[2];\ncx q[8], q[2];\ncx q[1], q[3];\nrz(-0.1564) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(-0.0782) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.1564) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(-0.0782) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.0782) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(-0.0782) q[5];\ncx q[8], q[5];\ncx q[1], q[6];\nrz(-0.0782) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(-0.1564) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(-0.391) q[6];\ncx q[8], q[6];\ncx q[2], q[6];\nrz(-0.1564) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.0782) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.3128) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.391) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(-0.3128) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(-0.391) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.2346) q[7];\ncx q[6], q[7];\nrz(0.3128) q[1];\nrz(-0.0782) q[0];\nrz(-0.2346) q[4];\nrz(0.782) q[8];\nrz(0.1564) q[9];\nrz(-0.7038) q[2];\nrz(0) q[3];\nrz(-0.1564) q[5];\nrz(-0.6256) q[6];\nrz(0.5474) q[7];\nh q[0];\nrz(-0.2926) q[0];\nh q[0];\nh q[1];\nrz(-0.2926) q[1];\nh q[1];\nh q[2];\nrz(-0.2926) q[2];\nh q[2];\nh q[3];\nrz(-0.2926) q[3];\nh q[3];\nh q[4];\nrz(-0.2926) q[4];\nh q[4];\nh q[5];\nrz(-0.2926) q[5];\nh q[5];\nh q[6];\nrz(-0.2926) q[6];\nh q[6];\nh q[7];\nrz(-0.2926) q[7];\nh q[7];\nh q[8];\nrz(-0.2926) q[8];\nh q[8];\nh q[9];\nrz(-0.2926) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[0], q[8];\nrz(x0) q[8];\ncx q[0], q[8];\ncx q[1], q[9];\nrz(x2) q[9];\ncx q[1], q[9];\ncx q[0], q[9];\nrz(x3) q[9];\ncx q[0], q[9];\ncx q[8], q[9];\nrz(x2) q[9];\ncx q[8], q[9];\ncx q[1], q[2];\nrz(x4) q[2];\ncx q[1], q[2];\ncx q[8], q[2];\nrz(x0) q[2];\ncx q[8], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x4) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[8], q[5];\nrz(x4) q[5];\ncx q[8], q[5];\ncx q[1], q[6];\nrz(x4) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[8], q[6];\nrz(x5) q[6];\ncx q[8], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x4) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x5) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x2) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x5) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x6) q[1];\nrz(x4) q[0];\nrz(x0) q[4];\nrz(x3) q[8];\nrz(x7) q[9];\nrz(x8) q[2];\nrz(x9) q[3];\nrz(x1) q[5];\nrz(x10) q[6];\nrz(x11) q[7];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\nh q[8];\nrz(x12) q[8];\nh q[8];\nh q[9];\nrz(x12) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["2231796561822519105","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[9, 3], [4, 7], [8, 7], [0, 3], [3, 6], [8, 6], [8, 3], [2, 3], [2, 4], [2, 7], [8, 9], [9, 7], [9, 5], [9, 2], [0, 1], [1, 2], [5, 6], [1, 7], [1, 3], [0, 7], [4, 6]]}","{\"states\": [333, 269], \"expectation_value\": -0.10520443302870237, \"params\": [0.6967, 0.007, 0.6916, 0.0034000000000000002, 0.7059000000000001, -0.001, 0.7037, 0.0067, 0.6998000000000001, -0.0073, 0.7041000000000001, 0.008, 0.7030000000000001, -0.0002, 0.7056, 0.0049, 0.6911, 0.0058000000000000005, 0.6716000000000001, 0.0034000000000000002, 0.7024, -0.0002, 0.6924, 0.0076, 0.7070000000000001, -0.0007, 0.7049000000000001, 0.0048000000000000004, 0.6957, -0.0017000000000000001, 0.6967, 0.0001, 0.6988000000000001, 0.001, 0.6845, 0.009300000000000001, 0.6982, -0.0, 0.6987, 0.0004, -0.1767, 0.1373, -0.1786, -0.14800000000000002, -0.2396, -0.3622, 0.6543, 0.67, -0.24020000000000002, 0.1253], \"bitstrings\": [\"1010110010\", \"1011110010\"], \"total_optimization_steps\": 70, \"probabilities\": [0.01762972016904737, 0.023628507826464498], \"optimization_time\": 17.708577156066895}","0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(9) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(1)",6,10,1,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 24, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"0011001100\", \"1010001001\", \"1010001011\", \"0011011100\", \"0011010110\", \"0011010100\", \"0101110010\", \"1010001101\", \"1011110010\", \"0101110110\", \"0101110100\", \"1010110010\", \"1100100011\", \"1110001011\", \"1110001001\", \"1100110011\", \"1100101011\", \"1100101001\", \"0100001101\", \"1110110010\", \"0001001101\", \"0001110110\", \"0001110100\", \"0101001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.6967) q[0];\nrz(0.007) q[0];\nrx(0.7059) q[1];\nrz(-0.001) q[1];\nrx(0.6998) q[2];\nrz(-0.0073) q[2];\nrx(0.703) q[3];\nrz(-0.0002) q[3];\nrx(0.6911) q[4];\nrz(0.0058) q[4];\nrx(0.7024) q[5];\nrz(-0.0002) q[5];\nrx(0.707) q[6];\nrz(-0.0007) q[6];\nrx(0.6957) q[7];\nrz(-0.0017) q[7];\nrx(0.6988) q[8];\nrz(0.001) q[8];\nrx(0.6982) q[9];\nrz(0) q[9];\ncrx(-0.2402) q[9], q[8];\ncrx(0.67) q[9], q[7];\ncrx(0.6543) q[9], q[6];\ncrx(-0.3622) q[9], q[5];\ncrx(-0.2396) q[9], q[4];\ncrx(-0.148) q[9], q[3];\ncrx(-0.1786) q[9], q[2];\ncrx(0.1373) q[9], q[1];\ncrx(-0.1767) q[9], q[0];\ncrx(0.1253) q[8], q[9];\ncrx(0.67) q[8], q[7];\ncrx(0.6543) q[8], q[6];\ncrx(-0.3622) q[8], q[5];\ncrx(-0.2396) q[8], q[4];\ncrx(-0.148) q[8], q[3];\ncrx(-0.1786) q[8], q[2];\ncrx(0.1373) q[8], q[1];\ncrx(-0.1767) q[8], q[0];\ncrx(0.1253) q[7], q[9];\ncrx(-0.2402) q[7], q[8];\ncrx(0.6543) q[7], q[6];\ncrx(-0.3622) q[7], q[5];\ncrx(-0.2396) q[7], q[4];\ncrx(-0.148) q[7], q[3];\ncrx(-0.1786) q[7], q[2];\ncrx(0.1373) q[7], q[1];\ncrx(-0.1767) q[7], q[0];\ncrx(0.1253) q[6], q[9];\ncrx(-0.2402) q[6], q[8];\ncrx(0.67) q[6], q[7];\ncrx(-0.3622) q[6], q[5];\ncrx(-0.2396) q[6], q[4];\ncrx(-0.148) q[6], q[3];\ncrx(-0.1786) q[6], q[2];\ncrx(0.1373) q[6], q[1];\ncrx(-0.1767) q[6], q[0];\ncrx(0.1253) q[5], q[9];\ncrx(-0.2402) q[5], q[8];\ncrx(0.67) q[5], q[7];\ncrx(0.6543) q[5], q[6];\ncrx(-0.2396) q[5], q[4];\ncrx(-0.148) q[5], q[3];\ncrx(-0.1786) q[5], q[2];\ncrx(0.1373) q[5], q[1];\ncrx(-0.1767) q[5], q[0];\ncrx(0.1253) q[4], q[9];\ncrx(-0.2402) q[4], q[8];\ncrx(0.67) q[4], q[7];\ncrx(0.6543) q[4], q[6];\ncrx(-0.3622) q[4], q[5];\ncrx(-0.148) q[4], q[3];\ncrx(-0.1786) q[4], q[2];\ncrx(0.1373) q[4], q[1];\ncrx(-0.1767) q[4], q[0];\ncrx(0.1253) q[3], q[9];\ncrx(-0.2402) q[3], q[8];\ncrx(0.67) q[3], q[7];\ncrx(0.6543) q[3], q[6];\ncrx(-0.3622) q[3], q[5];\ncrx(-0.2396) q[3], q[4];\ncrx(-0.1786) q[3], q[2];\ncrx(0.1373) q[3], q[1];\ncrx(-0.1767) q[3], q[0];\ncrx(0.1253) q[2], q[9];\ncrx(-0.2402) q[2], q[8];\ncrx(0.67) q[2], q[7];\ncrx(0.6543) q[2], q[6];\ncrx(-0.3622) q[2], q[5];\ncrx(-0.2396) q[2], q[4];\ncrx(-0.148) q[2], q[3];\ncrx(0.1373) q[2], q[1];\ncrx(-0.1767) q[2], q[0];\ncrx(0.1253) q[1], q[9];\ncrx(-0.2402) q[1], q[8];\ncrx(0.67) q[1], q[7];\ncrx(0.6543) q[1], q[6];\ncrx(-0.3622) q[1], q[5];\ncrx(-0.2396) q[1], q[4];\ncrx(-0.148) q[1], q[3];\ncrx(-0.1786) q[1], q[2];\ncrx(-0.1767) q[1], q[0];\ncrx(0.1253) q[0], q[9];\ncrx(-0.2402) q[0], q[8];\ncrx(0.67) q[0], q[7];\ncrx(0.6543) q[0], q[6];\ncrx(-0.3622) q[0], q[5];\ncrx(-0.2396) q[0], q[4];\ncrx(-0.148) q[0], q[3];\ncrx(-0.1786) q[0], q[2];\ncrx(0.1373) q[0], q[1];\nrx(0.6916) q[0];\nrz(0.0034) q[0];\nrx(0.7037) q[1];\nrz(0.0067) q[1];\nrx(0.7041) q[2];\nrz(0.008) q[2];\nrx(0.7056) q[3];\nrz(0.0049) q[3];\nrx(0.6716) q[4];\nrz(0.0034) q[4];\nrx(0.6924) q[5];\nrz(0.0076) q[5];\nrx(0.7049) q[6];\nrz(0.0048) q[6];\nrx(0.6967) q[7];\nrz(0.0001) q[7];\nrx(0.6845) q[8];\nrz(0.0093) q[8];\nrx(0.6987) q[9];\nrz(0.0004) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x7) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrx(x19) q[9], q[8];\ncrx(x20) q[9], q[7];\ncrx(x21) q[9], q[6];\ncrx(x22) q[9], q[5];\ncrx(x23) q[9], q[4];\ncrx(x24) q[9], q[3];\ncrx(x25) q[9], q[2];\ncrx(x26) q[9], q[1];\ncrx(x27) q[9], q[0];\ncrx(x28) q[8], q[9];\ncrx(x20) q[8], q[7];\ncrx(x21) q[8], q[6];\ncrx(x22) q[8], q[5];\ncrx(x23) q[8], q[4];\ncrx(x24) q[8], q[3];\ncrx(x25) q[8], q[2];\ncrx(x26) q[8], q[1];\ncrx(x27) q[8], q[0];\ncrx(x28) q[7], q[9];\ncrx(x19) q[7], q[8];\ncrx(x21) q[7], q[6];\ncrx(x22) q[7], q[5];\ncrx(x23) q[7], q[4];\ncrx(x24) q[7], q[3];\ncrx(x25) q[7], q[2];\ncrx(x26) q[7], q[1];\ncrx(x27) q[7], q[0];\ncrx(x28) q[6], q[9];\ncrx(x19) q[6], q[8];\ncrx(x20) q[6], q[7];\ncrx(x22) q[6], q[5];\ncrx(x23) q[6], q[4];\ncrx(x24) q[6], q[3];\ncrx(x25) q[6], q[2];\ncrx(x26) q[6], q[1];\ncrx(x27) q[6], q[0];\ncrx(x28) q[5], q[9];\ncrx(x19) q[5], q[8];\ncrx(x20) q[5], q[7];\ncrx(x21) q[5], q[6];\ncrx(x23) q[5], q[4];\ncrx(x24) q[5], q[3];\ncrx(x25) q[5], q[2];\ncrx(x26) q[5], q[1];\ncrx(x27) q[5], q[0];\ncrx(x28) q[4], q[9];\ncrx(x19) q[4], q[8];\ncrx(x20) q[4], q[7];\ncrx(x21) q[4], q[6];\ncrx(x22) q[4], q[5];\ncrx(x24) q[4], q[3];\ncrx(x25) q[4], q[2];\ncrx(x26) q[4], q[1];\ncrx(x27) q[4], q[0];\ncrx(x28) q[3], q[9];\ncrx(x19) q[3], q[8];\ncrx(x20) q[3], q[7];\ncrx(x21) q[3], q[6];\ncrx(x22) q[3], q[5];\ncrx(x23) q[3], q[4];\ncrx(x25) q[3], q[2];\ncrx(x26) q[3], q[1];\ncrx(x27) q[3], q[0];\ncrx(x28) q[2], q[9];\ncrx(x19) q[2], q[8];\ncrx(x20) q[2], q[7];\ncrx(x21) q[2], q[6];\ncrx(x22) q[2], q[5];\ncrx(x23) q[2], q[4];\ncrx(x24) q[2], q[3];\ncrx(x26) q[2], q[1];\ncrx(x27) q[2], q[0];\ncrx(x28) q[1], q[9];\ncrx(x19) q[1], q[8];\ncrx(x20) q[1], q[7];\ncrx(x21) q[1], q[6];\ncrx(x22) q[1], q[5];\ncrx(x23) q[1], q[4];\ncrx(x24) q[1], q[3];\ncrx(x25) q[1], q[2];\ncrx(x27) q[1], q[0];\ncrx(x28) q[0], q[9];\ncrx(x19) q[0], q[8];\ncrx(x20) q[0], q[7];\ncrx(x21) q[0], q[6];\ncrx(x22) q[0], q[5];\ncrx(x23) q[0], q[4];\ncrx(x24) q[0], q[3];\ncrx(x25) q[0], q[2];\ncrx(x26) q[0], q[1];\nrx(x29) q[0];\nrz(x30) q[0];\nrx(x31) q[1];\nrz(x32) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x30) q[4];\nrx(x38) q[5];\nrz(x39) q[5];\nrx(x40) q[6];\nrz(x41) q[6];\nrx(x0) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x45) q[9];\nrz(x46) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["406f205c8f68e15d44cfdbce281f4c7d","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 3}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 4, \"target\": 3}]}","{\"states\": [37, 7], \"expectation_value\": -6.868769623322617, \"params\": null, \"bitstrings\": [\"011010\", \"111000\"], \"total_optimization_steps\": 55, \"probabilities\": [0.10740038652747583, 0.6097205169304722], \"optimization_time\": 62.52863359451294}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(5) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.25 * Z(5)",18,6,2,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nry(0.8911) q[5];\ncry(-1.5708) q[4], q[0];\ncry(-1.5655) q[3], q[2];\nry(1.08) q[3];\nry(0.6956) q[4];\nry(-0.5067) q[2];\nry(-0.3797) q[1];\ncry(0.3507) q[3], q[5];\nry(-0.2547) q[0];\ncry(0.4031) q[3], q[4];\ncry(-0.2804) q[3], q[0];\ncry(-0.2274) q[3], q[1];\ncry(0.2931) q[5], q[3];\ncry(-0.1583) q[5], q[2];\ncry(0.267) q[5], q[4];\ncry(-0.1415) q[5], q[0];\ncry(0.2026) q[4], q[5];\ncry(-0.1045) q[4], q[1];\ncry(0.1302) q[4], q[3];\ncry(-0.0723) q[4], q[2];\ncry(0.262) q[1], q[4];\ncry(0.2212) q[2], q[5];\ncry(0.1704) q[0], q[5];\ncry(0.1684) q[1], q[3];\ncry(-0.1359) q[0], q[4];\ncry(-0.1311) q[1], q[5];\ncry(0.141) q[2], q[4];\ncry(-0.0839) q[1], q[0];\ncry(-0.0821) q[2], q[1];\ncry(-0.0761) q[2], q[3];\ncry(0.0929) q[0], q[3];\ncry(-0.0436) q[0], q[1];\ncry(-0.0429) q[1], q[2];\ncry(-0.0339) q[2], q[0];\ncry(-0.0195) q[0], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"k\": 3}",{"$cut":{"chars":46455,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\ncry(-1.5708) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\ncry(-1.5708) q[4], q[0];\\ncry(-1.5655) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\ncry(-1.5708) q[4], q[0];\\ncry(-1.5655) q[3], q[2];\\nry(1.08) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\ncry(-1.5708) q[4], q[0];\\ncry(-1.5655) q[3], q[2];\\nry(1.08) q[3];\\nry(0.6956) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\ncry(-1.5708) q[4], q[0];\\ncry(-1.5655) q[3], q[2];\\nry(1.08) q[3];\\nry(0.6956) q[4];\\nry(-0.5067) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\ncry(-1.5708) q[4], q[0];\\ncry(-1.5655) q[3], q[2];\\nry(1.08) q[3];\\nry(0.6956) q[4];\\nry(-0.5067) q[2];\\nry(-0.3797) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\ncry(-1.5708) q[4], q[0];\\ncry(-1.5655) q[3], q[2];\\nry(1.08) q[3];\\nry(0.6956) q[4];\\nry(-0.5067) q[2];\\nry(-0.3797) q[1];\\ncry(0.3507) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\ncry(-1.5708) q[4], q[0];\\ncry(-1.5655) q[3], q[2];\\nry(1.08) q[3];\\nry(0.6956) q[4];\\nry(-0.5067) q[2];\\nry(-0.3797) q[1];\\ncry(0.3507) q[3], q[5];\\nry(-0.2547) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(-1.5708) q[5], q[1];\\nry(0.8911) q[5];\\ncry(-1.5708) q[4], q[0];\\ncry(-1.5655) q[3], q[2];\\nry(1.08) q[3];\\nry(0.6956) q[4];\\nry(-0.5067) q[2];\\nry(-0.3797) q[1];\\ncry(0.3507) q[3], q[5];\\nry(-0.25"}}]
["6ce86fd90cfcfc8619e1d79aa454f77b","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 8}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 6, \"target\": 4}, {\"capacity\": 2, \"source\": 6, \"target\": 7}, {\"capacity\": 1, \"source\": 7, \"target\": 1}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 5}]}","{\"states\": [0, 1], \"expectation_value\": -8.36062036111584, \"params\": [0.0032, 0.49470000000000003, 0.0033, 0.2773, 0.0027, 0.5963, 0.0029000000000000002, 0.6003000000000001, 0.0023, 0.43520000000000003, 0.0024000000000000002, 0.5983, -0.0016, 0.014400000000000001, 0.0024000000000000002, 0.5942000000000001, 0.8032, 0.0037, 0.0031000000000000003, 0.0618, 0.0012000000000000001, -0.28650000000000003, 0.0026000000000000003, -0.2984, 0.0028, -0.1495, 0.0027, -0.25470000000000004, 0.0023, 0.0006000000000000001, 0.0067, 0.0057, 0.0024000000000000002, 0.45840000000000003, 0.8046000000000001, 0.004, 0.4116, -0.5531, -0.5589000000000001, 0.3558, -0.3619, 0.0308, 0.5896, 0.0021000000000000003, 0.27740000000000004, 0.2646, 0.2571, -0.1771, 0.1733, 0.0055000000000000005, 0.0188, 0.0024000000000000002], \"bitstrings\": [\"111111111\", \"111111110\"], \"total_optimization_steps\": 80, \"probabilities\": [0.48150458036669963, 0.5184404754103458], \"optimization_time\": 9.09421706199646}","-0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(4)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(7) + -1.0 * Z(4) + -0.25 * Z(3) + 1.5 * Z(8) + -0.25 * Z(5)",4,9,2,"{\"smallest_eigenvalues\": [-11.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.25, \"smallest_bitstrings\": [\"111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0032) q[0];\nrz(0.4947) q[0];\nrx(0.0033) q[1];\nrz(0.2773) q[1];\nrx(0.0027) q[2];\nrz(0.5963) q[2];\nrx(0.0029) q[3];\nrz(0.6003) q[3];\nrx(0.0023) q[4];\nrz(0.4352) q[4];\nrx(0.0024) q[5];\nrz(0.5983) q[5];\nrx(-0.0016) q[6];\nrz(0.0144) q[6];\nrx(0.0024) q[7];\nrz(0.5942) q[7];\nrx(0.8032) q[8];\nrz(0.0037) q[8];\ncrx(0.0021) q[8], q[7];\ncrx(0.5896) q[7], q[6];\ncrx(0.0308) q[6], q[5];\ncrx(-0.3619) q[5], q[4];\ncrx(0.3558) q[4], q[3];\ncrx(-0.5589) q[3], q[2];\ncrx(-0.5531) q[2], q[1];\ncrx(0.4116) q[1], q[0];\nrx(0.0031) q[0];\nrz(0.0618) q[0];\nrx(0.0012) q[1];\nrz(-0.2865) q[1];\nrx(0.0026) q[2];\nrz(-0.2984) q[2];\nrx(0.0028) q[3];\nrz(-0.1495) q[3];\nrx(0.0027) q[4];\nrz(-0.2547) q[4];\nrx(0.0023) q[5];\nrz(0.0006) q[5];\nrx(0.0067) q[6];\nrz(0.0057) q[6];\nrx(0.0024) q[7];\nrz(0.4584) q[7];\nrx(0.8046) q[8];\nrz(0.004) q[8];\ncrx(0.0024) q[8], q[7];\ncrx(0.0188) q[7], q[6];\ncrx(0.0055) q[6], q[5];\ncrx(0.1733) q[5], q[4];\ncrx(-0.1771) q[4], q[3];\ncrx(0.2571) q[3], q[2];\ncrx(0.2646) q[2], q[1];\ncrx(0.2774) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x10) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\ncrx(x17) q[8], q[7];\ncrx(x18) q[7], q[6];\ncrx(x19) q[6], q[5];\ncrx(x20) q[5], q[4];\ncrx(x21) q[4], q[3];\ncrx(x22) q[3], q[2];\ncrx(x23) q[2], q[1];\ncrx(x24) q[1], q[0];\nrx(x25) q[0];\nrz(x26) q[0];\nrx(x27) q[1];\nrz(x28) q[1];\nrx(x29) q[2];\nrz(x30) q[2];\nrx(x31) q[3];\nrz(x32) q[3];\nrx(x4) q[4];\nrz(x33) q[4];\nrx(x8) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x10) q[7];\nrz(x37) q[7];\nrx(x38) q[8];\nrz(x39) q[8];\ncrx(x10) q[8], q[7];\ncrx(x40) q[7], q[6];\ncrx(x41) q[6], q[5];\ncrx(x42) q[5], q[4];\ncrx(x43) q[4], q[3];\ncrx(x44) q[3], q[2];\ncrx(x45) q[2], q[1];\ncrx(x46) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["b03062475f1287ad31bf0aaec748b841","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [0, 963], \"expectation_value\": -20.149973189682328, \"params\": [0.43260000000000004, 0.9098, 0.3272, 1.6416000000000002, -0.4515, 0.5101, -0.3648, 0.5515, -0.47800000000000004, 0.6416000000000001, -0.2742, 0.36920000000000003, -0.3206, 0.5887, -0.4011, 0.36660000000000004, -0.00030000000000000003, 1.0125, -0.0073, 0.1158, 0.0011, 0.8382000000000001, 0.008400000000000001, 0.7753, -0.0033, 1.0829, 0.0061, 0.17900000000000002, -0.0067, 0.012100000000000001, 0.00030000000000000003, 0.11120000000000001, -0.34040000000000004, 0.9993000000000001, -0.3521, 0.6224000000000001, -0.3106, 0.7313000000000001, 0.14150000000000001, 0.41910000000000003, -0.39180000000000004, 0.6562, -0.0071, 0.1071, -0.24710000000000001, 0.34750000000000003, 0.2029, 0.6658000000000001, -0.1288, 0.43920000000000003, 0.23800000000000002, 0.6611, -0.33390000000000003, 0.7864, -0.1126, 1.0644, -0.0012000000000000001, 0.139, 0.006500000000000001, 0.5804, 0.0015, 0.9386, -0.0006000000000000001, 1.1068, 0.0041, -0.1767, 0.0037, 0.7819, 0.0021000000000000003, 0.029400000000000003, -0.0134, 0.6808000000000001, 0.0238, 0.1544, 0.1728, 0.325, -0.1315, 0.5124000000000001, 0.0708, 0.5335, -0.0012000000000000001, 0.0799, -0.0497, 0.7503000000000001, 0.0025, 0.9677, -0.0333, 1.163, 0.2106, 0.8303, -0.17250000000000001, 0.735, -0.0882, 1.0758, -0.10790000000000001, 0.888, -0.0035, 0.646, 0.01, 0.4166, -0.0018000000000000002, 0.8510000000000001, -0.0161, 0.47150000000000003, -0.0047, 1.0303, 0.0059, 0.5021, 0.004, 0.9530000000000001, 0.0142, 0.5164, 0.0775, 0.7887000000000001, -0.1461, 1.1282, 0.038700000000000005, 0.5142, 0.0776, 0.8291000000000001, 0.1724, 0.733, 0.08420000000000001, 0.0028, -0.2106, 0.8789, 0.0821, 0.0064, -0.0522, 0.8427, 0.2089, 0.0061, -0.17020000000000002, 0.5689000000000001, -0.1218, 0.0088, 0.0056, 0.1587, -0.0013000000000000002, 0.007500000000000001, 0.0076, 0.2217, 0.0008, 0.0029000000000000002, 0.0063, 0.22130000000000002, 0.0023, 0.0022, -0.0044, 0.31, 0.0082, 0.0021000000000000003, 0.0218, 0.6875, 0.09630000000000001, 0.0055000000000000005, 0.12560000000000002, 0.8676, 0.1323, 0.0061, 0.0489, 0.4535, 0.9524, 0.341, -0.0031000000000000003, 0.006900000000000001, -0.0002, 0.0026000000000000003, 0.8036000000000001, 0.46950000000000003, 0.9570000000000001, 0.5915, 1.3681, 0.6811, 0.0031000000000000003, 0.0009000000000000001, -0.0061, 0.0013000000000000002, 1.1023, 0.8461000000000001, 0.12150000000000001, -0.20350000000000001, 0.5035000000000001, -0.011300000000000001, 0.0008, -0.0044, -0.007500000000000001, -0.0016, 0.5829, 0.7986000000000001, 0.38820000000000005, -0.44170000000000004, -0.3362, -0.35600000000000004, -0.0007, -0.0032, 0.0028, -0.0014, -0.2649, -0.22540000000000002], \"bitstrings\": [\"1111111111\", \"0000111100\"], \"total_optimization_steps\": 340, \"probabilities\": [0.3915377556985, 0.43460763433843114], \"optimization_time\": 189.87599658966064}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 * Z(5) + 1.5 * Z(4) + -1.5 * Z(6) + 1.0 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2)",6,10,4,"{\"smallest_eigenvalues\": [-24.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -22.0, \"smallest_bitstrings\": [\"0000111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.4326) q[0];\nrz(0.9098) q[0];\nrx(-0.4515) q[1];\nrz(0.5101) q[1];\nrx(-0.478) q[2];\nrz(0.6416) q[2];\nrx(-0.3206) q[3];\nrz(0.5887) q[3];\nrx(-0.0003) q[4];\nrz(1.0125) q[4];\nrx(0.0011) q[5];\nrz(0.8382) q[5];\nrx(-0.0033) q[6];\nrz(1.0829) q[6];\nrx(-0.0067) q[7];\nrz(0.0121) q[7];\nrx(-0.3404) q[8];\nrz(0.9993) q[8];\nrx(-0.3106) q[9];\nrz(0.7313) q[9];\ncrx(0.8036) q[9], q[8];\ncrx(0.0026) q[9], q[7];\ncrx(-0.0002) q[9], q[6];\ncrx(0.0069) q[9], q[5];\ncrx(-0.0031) q[9], q[4];\ncrx(0.341) q[9], q[3];\ncrx(0.9524) q[9], q[2];\ncrx(0.4535) q[9], q[1];\ncrx(0.0489) q[9], q[0];\ncrx(0.4695) q[8], q[9];\ncrx(0.0026) q[8], q[7];\ncrx(-0.0002) q[8], q[6];\ncrx(0.0069) q[8], q[5];\ncrx(-0.0031) q[8], q[4];\ncrx(0.341) q[8], q[3];\ncrx(0.9524) q[8], q[2];\ncrx(0.4535) q[8], q[1];\ncrx(0.0489) q[8], q[0];\ncrx(0.4695) q[7], q[9];\ncrx(0.8036) q[7], q[8];\ncrx(-0.0002) q[7], q[6];\ncrx(0.0069) q[7], q[5];\ncrx(-0.0031) q[7], q[4];\ncrx(0.341) q[7], q[3];\ncrx(0.9524) q[7], q[2];\ncrx(0.4535) q[7], q[1];\ncrx(0.0489) q[7], q[0];\ncrx(0.4695) q[6], q[9];\ncrx(0.8036) q[6], q[8];\ncrx(0.0026) q[6], q[7];\ncrx(0.0069) q[6], q[5];\ncrx(-0.0031) q[6], q[4];\ncrx(0.341) q[6], q[3];\ncrx(0.9524) q[6], q[2];\ncrx(0.4535) q[6], q[1];\ncrx(0.0489) q[6], q[0];\ncrx(0.4695) q[5], q[9];\ncrx(0.8036) q[5], q[8];\ncrx(0.0026) q[5], q[7];\ncrx(-0.0002) q[5], q[6];\ncrx(-0.0031) q[5], q[4];\ncrx(0.341) q[5], q[3];\ncrx(0.9524) q[5], q[2];\ncrx(0.4535) q[5], q[1];\ncrx(0.0489) q[5], q[0];\ncrx(0.4695) q[4], q[9];\ncrx(0.8036) q[4], q[8];\ncrx(0.0026) q[4], q[7];\ncrx(-0.0002) q[4], q[6];\ncrx(0.0069) q[4], q[5];\ncrx(0.341) q[4], q[3];\ncrx(0.9524) q[4], q[2];\ncrx(0.4535) q[4], q[1];\ncrx(0.0489) q[4], q[0];\ncrx(0.4695) q[3], q[9];\ncrx(0.8036) q[3], q[8];\ncrx(0.0026) q[3], q[7];\ncrx(-0.0002) q[3], q[6];\ncrx(0.0069) q[3], q[5];\ncrx(-0.0031) q[3], q[4];\ncrx(0.9524) q[3], q[2];\ncrx(0.4535) q[3], q[1];\ncrx(0.0489) q[3], q[0];\ncrx(0.4695) q[2], q[9];\ncrx(0.8036) q[2], q[8];\ncrx(0.0026) q[2], q[7];\ncrx(-0.0002) q[2], q[6];\ncrx(0.0069) q[2], q[5];\ncrx(-0.0031) q[2], q[4];\ncrx(0.341) q[2], q[3];\ncrx(0.4535) q[2], q[1];\ncrx(0.0489) q[2], q[0];\ncrx(0.4695) q[1], q[9];\ncrx(0.8036) q[1], q[8];\ncrx(0.0026) q[1], q[7];\ncrx(-0.0002) q[1], q[6];\ncrx(0.0069) q[1], q[5];\ncrx(-0.0031) q[1], q[4];\ncrx(0.341) q[1], q[3];\ncrx(0.9524) q[1], q[2];\ncrx(0.0489) q[1], q[0];\ncrx(0.4695) q[0], q[9];\ncrx(0.8036) q[0], q[8];\ncrx(0.0026) q[0], q[7];\ncrx(-0.0002) q[0], q[6];\ncrx(0.0069) q[0], q[5];\ncrx(-0.0031) q[0], q[4];\ncrx(0.341) q[0], q[3];\ncrx(0.9524) q[0], q[2];\ncrx(0.4535) q[0], q[1];\nrx(0.3272) q[0];\nrz(1.6416) q[0];\nrx(-0.3648) q[1];\nrz(0.5515) q[1];\nrx(-0.2742) q[2];\nrz(0.3692) q[2];\nrx(-0.4011) q[3];\nrz(0.3666) q[3];\nrx(-0.0073) q[4];\nrz(0.1158) q[4];\nrx(0.0084) q[5];\nrz(0.7753) q[5];\nrx(0.0061) q[6];\nrz(0.179) q[6];\nrx(0.0003) q[7];\nrz(0.1112) q[7];\nrx(-0.3521) q[8];\nrz(0.6224) q[8];\nrx(0.1415) q[9];\nrz(0.4191) q[9];\nrx(-0.3918) q[0];\nrz(0.6562) q[0];\nrx(-0.2471) q[1];\nrz(0.3475) q[1];\nrx(-0.1288) q[2];\nrz(0.4392) q[2];\nrx(-0.3339) q[3];\nrz(0.7864) q[3];\nrx(-0.0012) q[4];\nrz(0.139) q[4];\nrx(0.0015) q[5];\nrz(0.9386) q[5];\nrx(0.0041) q[6];\nrz(-0.1767) q[6];\nrx(0.0021) q[7];\nrz(0.0294) q[7];\nrx(0.0238) q[8];\nrz(0.1544) q[8];\nrx(-0.1315) q[9];\nrz(0.5124) q[9];\ncrx(1.1023) q[9], q[8];\ncrx(0.0013) q[9], q[7];\ncrx(-0.0061) q[9], q[6];\ncrx(0.0009) q[9], q[5];\ncrx(0.0031) q[9], q[4];\ncrx(0.6811) q[9], q[3];\ncrx(1.3681) q[9], q[2];\ncrx(0.5915) q[9], q[1];\ncrx(0.957) q[9], q[0];\ncrx(0.8461) q[8], q[9];\ncrx(0.0013) q[8], q[7];\ncrx(-0.0061) q[8], q[6];\ncrx(0.0009) q[8], q[5];\ncrx(0.0031) q[8], q[4];\ncrx(0.6811) q[8], q[3];\ncrx(1.3681) q[8], q[2];\ncrx(0.5915) q[8], q[1];\ncrx(0.957) q[8], q[0];\ncrx(0.8461) q[7], q[9];\ncrx(1.1023) q[7], q[8];\ncrx(-0.0061) q[7], q[6];\ncrx(0.0009) q[7], q[5];\ncrx(0.0031) q[7], q[4];\ncrx(0.6811) q[7], q[3];\ncrx(1.3681) q[7], q[2];\ncrx(0.5915) q[7], q[1];\ncrx(0.957) q[7], q[0];\ncrx(0.8461) q[6], q[9];\ncrx(1.1023) q[6], q[8];\ncrx(0.0013) q[6], q[7];\ncrx(0.0009) q[6], q[5];\ncrx(0.0031) q[6], q[4];\ncrx(0.6811) q[6], q[3];\ncrx(1.3681) q[6], q[2];\ncrx(0.5915) q[6], q[1];\ncrx(0.957) q[6], q[0];\ncrx(0.8461) q[5], q[9];\ncrx(1.1023) q[5], q[8];\ncrx(0.0013) q[5], q[7];\ncrx(-0.0061) q[5], q[6];\ncrx(0.0031) q[5], q[4];\ncrx(0.6811) q[5], q[3];\ncrx(1.3681) q[5], q[2];\ncrx(0.5915) q[5], q[1];\ncrx(0.957) q[5], q[0];\ncrx(0.8461) q[4], q[9];\ncrx(1.1023) q[4], q[8];\ncrx(0.0013) q[4], q[7];\ncrx(-0.0061) q[4], q[6];\ncrx(0.0009) q[4], q[5];\ncrx(0.6811) q[4], q[3];\ncrx(1.3681) q[4], q[2];\ncrx(0.5915) q[4], q[1];\ncrx(0.957) q[4], q[0];\ncrx(0.8461) q[3], q[9];\ncrx(1.1023) q[3], q[8];\ncrx(0.0013) q[3], q[7];\ncrx(-0.0061) q[3], q[6];\ncrx(0.0009) q[3], q[5];\ncrx(0.0031) q[3], q[4];\ncrx(1.3681) q[3], q[2];\ncrx(0.5915) q[3], q[1];\ncrx(0.957) q[3], q[0];\ncrx(0.8461) q[2], q[9];\ncrx(1.1023) q[2], q[8];\ncrx(0.0013) q[2], q[7];\ncrx(-0.0061) q[2], q[6];\ncrx(0.0009) q[2], q[5];\ncrx(0.0031) q[2], q[4];\ncrx(0.6811) q[2], q[3];\ncrx(0.5915) q[2], q[1];\ncrx(0.957) q[2], q[0];\ncrx(0.8461) q[1], q[9];\ncrx(1.1023) q[1], q[8];\ncrx(0.0013) q[1], q[7];\ncrx(-0.0061) q[1], q[6];\ncrx(0.0009) q[1], q[5];\ncrx(0.0031) q[1], q[4];\ncrx(0.6811) q[1], q[3];\ncrx(1.3681) q[1], q[2];\ncrx(0.957) q[1], q[0];\ncrx(0.8461) q[0], q[9];\ncrx(1.1023) q[0], q[8];\ncrx(0.0013) q[0], q[7];\ncrx(-0.0061) q[0], q[6];\ncrx(0.0009) q[0], q[5];\ncrx(0.0031) q[0], q[4];\ncrx(0.6811) q[0], q[3];\ncrx(1.3681) q[0], q[2];\ncrx(0.5915) q[0], q[1];\nrx(-0.0071) q[0];\nrz(0.1071) q[0];\nrx(0.2029) q[1];\nrz(0.6658) q[1];\nrx(0.238) q[2];\nrz(0.6611) q[2];\nrx(-0.1126) q[3];\nrz(1.0644) q[3];\nrx(0.0065) q[4];\nrz(0.5804) q[4];\nrx(-0.0006) q[5];\nrz(1.1068) q[5];\nrx(0.0037) q[6];\nrz(0.7819) q[6];\nrx(-0.0134) q[7];\nrz(0.6808) q[7];\nrx(0.1728) q[8];\nrz(0.325) q[8];\nrx(0.0708) q[9];\nrz(0.5335) q[9];\nrx(-0.0012) q[0];\nrz(0.0799) q[0];\nrx(0.0025) q[1];\nrz(0.9677) q[1];\nrx(0.2106) q[2];\nrz(0.8303) q[2];\nrx(-0.0882) q[3];\nrz(1.0758) q[3];\nrx(-0.0035) q[4];\nrz(0.646) q[4];\nrx(-0.0018) q[5];\nrz(0.851) q[5];\nrx(-0.0047) q[6];\nrz(1.0303) q[6];\nrx(0.004) q[7];\nrz(0.953) q[7];\nrx(0.0775) q[8];\nrz(0.7887) q[8];\nrx(0.0387) q[9];\nrz(0.5142) q[9];\ncrx(0.5829) q[9], q[8];\ncrx(-0.0016) q[9], q[7];\ncrx(-0.0075) q[9], q[6];\ncrx(-0.0044) q[9], q[5];\ncrx(0.0008) q[9], q[4];\ncrx(-0.0113) q[9], q[3];\ncrx(0.5035) q[9], q[2];\ncrx(-0.2035) q[9], q[1];\ncrx(0.1215) q[9], q[0];\ncrx(0.7986) q[8], q[9];\ncrx(-0.0016) q[8], q[7];\ncrx(-0.0075) q[8], q[6];\ncrx(-0.0044) q[8], q[5];\ncrx(0.0008) q[8], q[4];\ncrx(-0.0113) q[8], q[3];\ncrx(0.5035) q[8], q[2];\ncrx(-0.2035) q[8], q[1];\ncrx(0.1215) q[8], q[0];\ncrx(0.7986) q[7], q[9];\ncrx(0.5829) q[7], q[8];\ncrx(-0.0075) q[7], q[6];\ncrx(-0.0044) q[7], q[5];\ncrx(0.0008) q[7], q[4];\ncrx(-0.0113) q[7], q[3];\ncrx(0.5035) q[7], q[2];\ncrx(-0.2035) q[7], q[1];\ncrx(0.1215) q[7], q[0];\ncrx(0.7986) q[6], q[9];\ncrx(0.5829) q[6], q[8];\ncrx(-0.0016) q[6], q[7];\ncrx(-0.0044) q[6], q[5];\ncrx(0.0008) q[6], q[4];\ncrx(-0.0113) q[6], q[3];\ncrx(0.5035) q[6], q[2];\ncrx(-0.2035) q[6], q[1];\ncrx(0.1215) q[6], q[0];\ncrx(0.7986) q[5], q[9];\ncrx(0.5829) q[5], q[8];\ncrx(-0.0016) q[5], q[7];\ncrx(-0.0075) q[5], q[6];\ncrx(0.0008) q[5], q[4];\ncrx(-0.0113) q[5], q[3];\ncrx(0.5035) q[5], q[2];\ncrx(-0.2035) q[5], q[1];\ncrx(0.1215) q[5], q[0];\ncrx(0.7986) q[4], q[9];\ncrx(0.5829) q[4], q[8];\ncrx(-0.0016) q[4], q[7];\ncrx(-0.0075) q[4], q[6];\ncrx(-0.0044) q[4], q[5];\ncrx(-0.0113) q[4], q[3];\ncrx(0.5035) q[4], q[2];\ncrx(-0.2035) q[4], q[1];\ncrx(0.1215) q[4], q[0];\ncrx(0.7986) q[3], q[9];\ncrx(0.5829) q[3], q[8];\ncrx(-0.0016) q[3], q[7];\ncrx(-0.0075) q[3], q[6];\ncrx(-0.0044) q[3], q[5];\ncrx(0.0008) q[3], q[4];\ncrx(0.5035) q[3], q[2];\ncrx(-0.2035) q[3], q[1];\ncrx(0.1215) q[3], q[0];\ncrx(0.7986) q[2], q[9];\ncrx(0.5829) q[2], q[8];\ncrx(-0.0016) q[2], q[7];\ncrx(-0.0075) q[2], q[6];\ncrx(-0.0044) q[2], q[5];\ncrx(0.0008) q[2], q[4];\ncrx(-0.0113) q[2], q[3];\ncrx(-0.2035) q[2], q[1];\ncrx(0.1215) q[2], q[0];\ncrx(0.7986) q[1], q[9];\ncrx(0.5829) q[1], q[8];\ncrx(-0.0016) q[1], q[7];\ncrx(-0.0075) q[1], q[6];\ncrx(-0.0044) q[1], q[5];\ncrx(0.0008) q[1], q[4];\ncrx(-0.0113) q[1], q[3];\ncrx(0.5035) q[1], q[2];\ncrx(0.1215) q[1], q[0];\ncrx(0.7986) q[0], q[9];\ncrx(0.5829) q[0], q[8];\ncrx(-0.0016) q[0], q[7];\ncrx(-0.0075) q[0], q[6];\ncrx(-0.0044) q[0], q[5];\ncrx(0.0008) q[0], q[4];\ncrx(-0.0113) q[0], q[3];\ncrx(0.5035) q[0], q[2];\ncrx(-0.2035) q[0], q[1];\nrx(-0.0497) q[0];\nrz(0.7503) q[0];\nrx(-0.0333) q[1];\nrz(1.163) q[1];\nrx(-0.1725) q[2];\nrz(0.735) q[2];\nrx(-0.1079) q[3];\nrz(0.888) q[3];\nrx(0.01) q[4];\nrz(0.4166) q[4];\nrx(-0.0161) q[5];\nrz(0.4715) q[5];\nrx(0.0059) q[6];\nrz(0.5021) q[6];\nrx(0.0142) q[7];\nrz(0.5164) q[7];\nrx(-0.1461) q[8];\nrz(1.1282) q[8];\nrx(0.0776) q[9];\nrz(0.8291) q[9];\nrx(0.1724) q[0];\nrz(0.733) q[0];\nrx(-0.2106) q[1];\nrz(0.8789) q[1];\nrx(-0.0522) q[2];\nrz(0.8427) q[2];\nrx(-0.1702) q[3];\nrz(0.5689) q[3];\nrx(0.0056) q[4];\nrz(0.1587) q[4];\nrx(0.0076) q[5];\nrz(0.2217) q[5];\nrx(0.0063) q[6];\nrz(0.2213) q[6];\nrx(-0.0044) q[7];\nrz(0.31) q[7];\nrx(0.0218) q[8];\nrz(0.6875) q[8];\nrx(0.1256) q[9];\nrz(0.8676) q[9];\ncrx(-0.2649) q[9], q[8];\ncrx(-0.0014) q[9], q[7];\ncrx(0.0028) q[9], q[6];\ncrx(-0.0032) q[9], q[5];\ncrx(-0.0007) q[9], q[4];\ncrx(-0.356) q[9], q[3];\ncrx(-0.3362) q[9], q[2];\ncrx(-0.4417) q[9], q[1];\ncrx(0.3882) q[9], q[0];\ncrx(-0.2254) q[8], q[9];\ncrx(-0.0014) q[8], q[7];\ncrx(0.0028) q[8], q[6];\ncrx(-0.0032) q[8], q[5];\ncrx(-0.0007) q[8], q[4];\ncrx(-0.356) q[8], q[3];\ncrx(-0.3362) q[8], q[2];\ncrx(-0.4417) q[8], q[1];\ncrx(0.3882) q[8], q[0];\ncrx(-0.2254) q[7], q[9];\ncrx(-0.2649) q[7], q[8];\ncrx(0.0028) q[7], q[6];\ncrx(-0.0032) q[7], q[5];\ncrx(-0.0007) q[7], q[4];\ncrx(-0.356) q[7], q[3];\ncrx(-0.3362) q[7], q[2];\ncrx(-0.4417) q[7], q[1];\ncrx(0.3882) q[7], q[0];\ncrx(-0.2254) q[6], q[9];\ncrx(-0.2649) q[6], q[8];\ncrx(-0.0014) q[6], q[7];\ncrx(-0.0032) q[6], q[5];\ncrx(-0.0007) q[6], q[4];\ncrx(-0.356) q[6], q[3];\ncrx(-0.3362) q[6], q[2];\ncrx(-0.4417) q[6], q[1];\ncrx(0.3882) q[6], q[0];\ncrx(-0.2254) q[5], q[9];\ncrx(-0.2649) q[5], q[8];\ncrx(-0.0014) q[5], q[7];\ncrx(0.0028) q[5], q[6];\ncrx(-0.0007) q[5], q[4];\ncrx(-0.356) q[5], q[3];\ncrx(-0.3362) q[5], q[2];\ncrx(-0.4417) q[5], q[1];\ncrx(0.3882) q[5], q[0];\ncrx(-0.2254) q[4], q[9];\ncrx(-0.2649) q[4], q[8];\ncrx(-0.0014) q[4], q[7];\ncrx(0.0028) q[4], q[6];\ncrx(-0.0032) q[4], q[5];\ncrx(-0.356) q[4], q[3];\ncrx(-0.3362) q[4], q[2];\ncrx(-0.4417) q[4], q[1];\ncrx(0.3882) q[4], q[0];\ncrx(-0.2254) q[3], q[9];\ncrx(-0.2649) q[3], q[8];\ncrx(-0.0014) q[3], q[7];\ncrx(0.0028) q[3], q[6];\ncrx(-0.0032) q[3], q[5];\ncrx(-0.0007) q[3], q[4];\ncrx(-0.3362) q[3], q[2];\ncrx(-0.4417) q[3], q[1];\ncrx(0.3882) q[3], q[0];\ncrx(-0.2254) q[2], q[9];\ncrx(-0.2649) q[2], q[8];\ncrx(-0.0014) q[2], q[7];\ncrx(0.0028) q[2], q[6];\ncrx(-0.0032) q[2], q[5];\ncrx(-0.0007) q[2], q[4];\ncrx(-0.356) q[2], q[3];\ncrx(-0.4417) q[2], q[1];\ncrx(0.3882) q[2], q[0];\ncrx(-0.2254) q[1], q[9];\ncrx(-0.2649) q[1], q[8];\ncrx(-0.0014) q[1], q[7];\ncrx(0.0028) q[1], q[6];\ncrx(-0.0032) q[1], q[5];\ncrx(-0.0007) q[1], q[4];\ncrx(-0.356) q[1], q[3];\ncrx(-0.3362) q[1], q[2];\ncrx(0.3882) q[1], q[0];\ncrx(-0.2254) q[0], q[9];\ncrx(-0.2649) q[0], q[8];\ncrx(-0.0014) q[0], q[7];\ncrx(0.0028) q[0], q[6];\ncrx(-0.0032) q[0], q[5];\ncrx(-0.0007) q[0], q[4];\ncrx(-0.356) q[0], q[3];\ncrx(-0.3362) q[0], q[2];\ncrx(-0.4417) q[0], q[1];\nrx(0.0842) q[0];\nrz(0.0028) q[0];\nrx(0.0821) q[1];\nrz(0.0064) q[1];\nrx(0.2089) q[2];\nrz(0.0061) q[2];\nrx(-0.1218) q[3];\nrz(0.0088) q[3];\nrx(-0.0013) q[4];\nrz(0.0075) q[4];\nrx(0.0008) q[5];\nrz(0.0029) q[5];\nrx(0.0023) q[6];\nrz(0.0022) q[6];\nrx(0.0082) q[7];\nrz(0.0021) q[7];\nrx(0.0963) q[8];\nrz(0.0055) q[8];\nrx(0.1323) q[9];\nrz(0.0061) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x179;\ninput float[64] x18;\ninput float[64] x180;\ninput float[64] x181;\ninput float[64] x182;\ninput float[64] x183;\ninput float[64] x184;\ninput float[64] x185;\ninput float[64] x186;\ninput float[64] x187;\ninput float[64] x188;\ninput float[64] x189;\ninput float[64] x19;\ninput float[64] x190;\ninput float[64] x191;\ninput float[64] x192;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nrx(x46) q[8];\nrz(x47) q[8];\nrx(x48) q[9];\nrz(x49) q[9];\nrx(x50) q[0];\nrz(x51) q[0];\nrx(x52) q[1];\nrz(x53) q[1];\nrx(x54) q[2];\nrz(x55) q[2];\nrx(x56) q[3];\nrz(x57) q[3];\nrx(x58) q[4];\nrz(x59) q[4];\nrx(x60) q[5];\nrz(x61) q[5];\nrx(x62) q[6];\nrz(x63) q[6];\nrx(x64) q[7];\nrz(x65) q[7];\nrx(x66) q[8];\nrz(x67) q[8];\nrx(x68) q[9];\nrz(x69) q[9];\ncrx(x70) q[9], q[8];\ncrx(x71) q[9], q[7];\ncrx(x72) q[9], q[6];\ncrx(x73) q[9], q[5];\ncrx(x74) q[9], q[4];\ncrx(x75) q[9], q[3];\ncrx(x76) q[9], q[2];\ncrx(x77) q[9], q[1];\ncrx(x78) q[9], q[0];\ncrx(x79) q[8], q[9];\ncrx(x71) q[8], q[7];\ncrx(x72) q[8], q[6];\ncrx(x73) q[8], q[5];\ncrx(x74) q[8], q[4];\ncrx(x75) q[8], q[3];\ncrx(x76) q[8], q[2];\ncrx(x77) q[8], q[1];\ncrx(x78) q[8], q[0];\ncrx(x79) q[7], q[9];\ncrx(x70) q[7], q[8];\ncrx(x72) q[7], q[6];\ncrx(x73) q[7], q[5];\ncrx(x74) q[7], q[4];\ncrx(x75) q[7], q[3];\ncrx(x76) q[7], q[2];\ncrx(x77) q[7], q[1];\ncrx(x78) q[7], q[0];\ncrx(x79) q[6], q[9];\ncrx(x70) q[6], q[8];\ncrx(x71) q[6], q[7];\ncrx(x73) q[6], q[5];\ncrx(x74) q[6], q[4];\ncrx(x75) q[6], q[3];\ncrx(x76) q[6], q[2];\ncrx(x77) q[6], q[1];\ncrx(x78) q[6], q[0];\ncrx(x79) q[5], q[9];\ncrx(x70) q[5], q[8];\ncrx(x71) q[5], q[7];\ncrx(x72) q[5], q[6];\ncrx(x74) q[5], q[4];\ncrx(x75) q[5], q[3];\ncrx(x76) q[5], q[2];\ncrx(x77) q[5], q[1];\ncrx(x78) q[5], q[0];\ncrx(x79) q[4], q[9];\ncrx(x70) q[4], q[8];\ncrx(x71) q[4], q[7];\ncrx(x72) q[4], q[6];\ncrx(x73) q[4], q[5];\ncrx(x75) q[4], q[3];\ncrx(x76) q[4], q[2];\ncrx(x77) q[4], q[1];\ncrx(x78) q[4], q[0];\ncrx(x79) q[3], q[9];\ncrx(x70) q[3], q[8];\ncrx(x71) q[3], q[7];\ncrx(x72) q[3], q[6];\ncrx(x73) q[3], q[5];\ncrx(x74) q[3], q[4];\ncrx(x76) q[3], q[2];\ncrx(x77) q[3], q[1];\ncrx(x78) q[3], q[0];\ncrx(x79) q[2], q[9];\ncrx(x70) q[2], q[8];\ncrx(x71) q[2], q[7];\ncrx(x72) q[2], q[6];\ncrx(x73) q[2], q[5];\ncrx(x74) q[2], q[4];\ncrx(x75) q[2], q[3];\ncrx(x77) q[2], q[1];\ncrx(x78) q[2], q[0];\ncrx(x79) q[1], q[9];\ncrx(x70) q[1], q[8];\ncrx(x71) q[1], q[7];\ncrx(x72) q[1], q[6];\ncrx(x73) q[1], q[5];\ncrx(x74) q[1], q[4];\ncrx(x75) q[1], q[3];\ncrx(x76) q[1], q[2];\ncrx(x78) q[1], q[0];\ncrx(x79) q[0], q[9];\ncrx(x70) q[0], q[8];\ncrx(x71) q[0], q[7];\ncrx(x72) q[0], q[6];\ncrx(x73) q[0], q[5];\ncrx(x74) q[0], q[4];\ncrx(x75) q[0], q[3];\ncrx(x76) q[0], q[2];\ncrx(x77) q[0], q[1];\nrx(x80) q[0];\nrz(x81) q[0];\nrx(x82) q[1];\nrz(x83) q[1];\nrx(x84) q[2];\nrz(x85) q[2];\nrx(x86) q[3];\nrz(x87) q[3];\nrx(x88) q[4];\nrz(x89) q[4];\nrx(x90) q[5];\nrz(x91) q[5];\nrx(x92) q[6];\nrz(x93) q[6];\nrx(x94) q[7];\nrz(x95) q[7];\nrx(x96) q[8];\nrz(x97) q[8];\nrx(x98) q[9];\nrz(x99) q[9];\nrx(x58) q[0];\nrz(x100) q[0];\nrx(x101) q[1];\nrz(x102) q[1];\nrx(x103) q[2];\nrz(x104) q[2];\nrx(x105) q[3];\nrz(x106) q[3];\nrx(x107) q[4];\nrz(x108) q[4];\nrx(x109) q[5];\nrz(x110) q[5];\nrx(x111) q[6];\nrz(x112) q[6];\nrx(x113) q[7];\nrz(x114) q[7];\nrx(x115) q[8];\nrz(x116) q[8];\nrx(x117) q[9];\nrz(x118) q[9];\ncrx(x119) q[9], q[8];\ncrx(x120) q[9], q[7];\ncrx(x121) q[9], q[6];\ncrx(x122) q[9], q[5];\ncrx(x123) q[9], q[4];\ncrx(x124) q[9], q[3];\ncrx(x125) q[9], q[2];\ncrx(x126) q[9], q[1];\ncrx(x127) q[9], q[0];\ncrx(x128) q[8], q[9];\ncrx(x120) q[8], q[7];\ncrx(x121) q[8], q[6];\ncrx(x122) q[8], q[5];\ncrx(x123) q[8], q[4];\ncrx(x124) q[8], q[3];\ncrx(x125) q[8], q[2];\ncrx(x126) q[8], q[1];\ncrx(x127) q[8], q[0];\ncrx(x128) q[7], q[9];\ncrx(x119) q[7], q[8];\ncrx(x121) q[7], q[6];\ncrx(x122) q[7], q[5];\ncrx(x123) q[7], q[4];\ncrx(x124) q[7], q[3];\ncrx(x125) q[7], q[2];\ncrx(x126) q[7], q[1];\ncrx(x127) q[7], q[0];\ncrx(x128) q[6], q[9];\ncrx(x119) q[6], q[8];\ncrx(x120) q[6], q[7];\ncrx(x122) q[6], q[5];\ncrx(x123) q[6], q[4];\ncrx(x124) q[6], q[3];\ncrx(x125) q[6], q[2];\ncrx(x126) q[6], q[1];\ncrx(x127) q[6], q[0];\ncrx(x128) q[5], q[9];\ncrx(x119) q[5], q[8];\ncrx(x120) q[5], q[7];\ncrx(x121) q[5], q[6];\ncrx(x123) q[5], q[4];\ncrx(x124) q[5], q[3];\ncrx(x125) q[5], q[2];\ncrx(x126) q[5], q[1];\ncrx(x127) q[5], q[0];\ncrx(x128) q[4], q[9];\ncrx(x119) q[4], q[8];\ncrx(x120) q[4], q[7];\ncrx(x121) q[4], q[6];\ncrx(x122) q[4], q[5];\ncrx(x124) q[4], q[3];\ncrx(x125) q[4], q[2];\ncrx(x126) q[4], q[1];\ncrx(x127) q[4], q[0];\ncrx(x128) q[3], q[9];\ncrx(x119) q[3], q[8];\ncrx(x120) q[3], q[7];\ncrx(x121) q[3], q[6];\ncrx(x122) q[3], q[5];\ncrx(x123) q[3], q[4];\ncrx(x125) q[3], q[2];\ncrx(x126) q[3], q[1];\ncrx(x127) q[3], q[0];\ncrx(x128) q[2], q[9];\ncrx(x119) q[2], q[8];\ncrx(x120) q[2], q[7];\ncrx(x121) q[2], q[6];\ncrx(x122) q[2], q[5];\ncrx(x123) q[2], q[4];\ncrx(x124) q[2], q[3];\ncrx(x126) q[2], q[1];\ncrx(x127) q[2], q[0];\ncrx(x128) q[1], q[9];\ncrx(x119) q[1], q[8];\ncrx(x120) q[1], q[7];\ncrx(x121) q[1], q[6];\ncrx(x122) q[1], q[5];\ncrx(x123) q[1], q[4];\ncrx(x124) q[1], q[3];\ncrx(x125) q[1], q[2];\ncrx(x127) q[1], q[0];\ncrx(x128) q[0], q[9];\ncrx(x119) q[0], q[8];\ncrx(x120) q[0], q[7];\ncrx(x121) q[0], q[6];\ncrx(x122) q[0], q[5];\ncrx(x123) q[0], q[4];\ncrx(x124) q[0], q[3];\ncrx(x125) q[0], q[2];\ncrx(x126) q[0], q[1];\nrx(x129) q[0];\nrz(x130) q[0];\nrx(x131) q[1];\nrz(x132) q[1];\nrx(x133) q[2];\nrz(x134) q[2];\nrx(x135) q[3];\nrz(x136) q[3];\nrx(x137) q[4];\nrz(x138) q[4];\nrx(x139) q[5];\nrz(x140) q[5];\nrx(x141) q[6];\nrz(x142) q[6];\nrx(x143) q[7];\nrz(x144) q[7];\nrx(x145) q[8];\nrz(x146) q[8];\nrx(x147) q[9];\nrz(x148) q[9];\nrx(x149) q[0];\nrz(x150) q[0];\nrx(x151) q[1];\nrz(x152) q[1];\nrx(x153) q[2];\nrz(x154) q[2];\nrx(x155) q[3];\nrz(x156) q[3];\nrx(x157) q[4];\nrz(x158) q[4];\nrx(x159) q[5];\nrz(x160) q[5];\nrx(x161) q[6];\nrz(x162) q[6];\nrx(x122) q[7];\nrz(x163) q[7];\nrx(x164) q[8];\nrz(x165) q[8];\nrx(x166) q[9];\nrz(x167) q[9];\ncrx(x168) q[9], q[8];\ncrx(x169) q[9], q[7];\ncrx(x170) q[9], q[6];\ncrx(x171) q[9], q[5];\ncrx(x172) q[9], q[4];\ncrx(x173) q[9], q[3];\ncrx(x174) q[9], q[2];\ncrx(x175) q[9], q[1];\ncrx(x176) q[9], q[0];\ncrx(x177) q[8], q[9];\ncrx(x169) q[8], q[7];\ncrx(x170) q[8], q[6];\ncrx(x171) q[8], q[5];\ncrx(x172) q[8], q[4];\ncrx(x173) q[8], q[3];\ncrx(x174) q[8], q[2];\ncrx(x175) q[8], q[1];\ncrx(x176) q[8], q[0];\ncrx(x177) q[7], q[9];\ncrx(x168) q[7], q[8];\ncrx(x170) q[7], q[6];\ncrx(x171) q[7], q[5];\ncrx(x172) q[7], q[4];\ncrx(x173) q[7], q[3];\ncrx(x174) q[7], q[2];\ncrx(x175) q[7], q[1];\ncrx(x176) q[7], q[0];\ncrx(x177) q[6], q[9];\ncrx(x168) q[6], q[8];\ncrx(x169) q[6], q[7];\ncrx(x171) q[6], q[5];\ncrx(x172) q[6], q[4];\ncrx(x173) q[6], q[3];\ncrx(x174) q[6], q[2];\ncrx(x175) q[6], q[1];\ncrx(x176) q[6], q[0];\ncrx(x177) q[5], q[9];\ncrx(x168) q[5], q[8];\ncrx(x169) q[5], q[7];\ncrx(x170) q[5], q[6];\ncrx(x172) q[5], q[4];\ncrx(x173) q[5], q[3];\ncrx(x174) q[5], q[2];\ncrx(x175) q[5], q[1];\ncrx(x176) q[5], q[0];\ncrx(x177) q[4], q[9];\ncrx(x168) q[4], q[8];\ncrx(x169) q[4], q[7];\ncrx(x170) q[4], q[6];\ncrx(x171) q[4], q[5];\ncrx(x173) q[4], q[3];\ncrx(x174) q[4], q[2];\ncrx(x175) q[4], q[1];\ncrx(x176) q[4], q[0];\ncrx(x177) q[3], q[9];\ncrx(x168) q[3], q[8];\ncrx(x169) q[3], q[7];\ncrx(x170) q[3], q[6];\ncrx(x171) q[3], q[5];\ncrx(x172) q[3], q[4];\ncrx(x174) q[3], q[2];\ncrx(x175) q[3], q[1];\ncrx(x176) q[3], q[0];\ncrx(x177) q[2], q[9];\ncrx(x168) q[2], q[8];\ncrx(x169) q[2], q[7];\ncrx(x170) q[2], q[6];\ncrx(x171) q[2], q[5];\ncrx(x172) q[2], q[4];\ncrx(x173) q[2], q[3];\ncrx(x175) q[2], q[1];\ncrx(x176) q[2], q[0];\ncrx(x177) q[1], q[9];\ncrx(x168) q[1], q[8];\ncrx(x169) q[1], q[7];\ncrx(x170) q[1], q[6];\ncrx(x171) q[1], q[5];\ncrx(x172) q[1], q[4];\ncrx(x173) q[1], q[3];\ncrx(x174) q[1], q[2];\ncrx(x176) q[1], q[0];\ncrx(x177) q[0], q[9];\ncrx(x168) q[0], q[8];\ncrx(x169) q[0], q[7];\ncrx(x170) q[0], q[6];\ncrx(x171) q[0], q[5];\ncrx(x172) q[0], q[4];\ncrx(x173) q[0], q[3];\ncrx(x174) q[0], q[2];\ncrx(x175) q[0], q[1];\nrx(x178) q[0];\nrz(x170) q[0];\nrx(x179) q[1];\nrz(x180) q[1];\nrx(x181) q[2];\nrz(x42) q[2];\nrx(x182) q[3];\nrz(x183) q[3];\nrx(x184) q[4];\nrz(x185) q[4];\nrx(x123) q[5];\nrz(x186) q[5];\nrx(x187) q[6];\nrz(x188) q[6];\nrx(x189) q[7];\nrz(x64) q[7];\nrx(x190) q[8];\nrz(x191) q[8];\nrx(x192) q[9];\nrz(x42) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 7}","{\"circuits\": [], \"gradients\": []}"]
["eaf152c9366c1fc70b9994ec462b6b4c","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 5}, {\"weight\": 19, \"source\": 0, \"target\": 2}, {\"weight\": 12, \"source\": 0, \"target\": 3}, {\"weight\": 11, \"source\": 1, \"target\": 5}, {\"weight\": 3, \"source\": 2, \"target\": 3}, {\"weight\": 20, \"source\": 3, \"target\": 5}, {\"weight\": 8, \"source\": 4, \"target\": 5}]}","{\"states\": [123, 122], \"expectation_value\": -67.81862414137746, \"params\": [1.1973, 0.006200000000000001, 3.1453, 0.003, 3.1457, 0.0027, 3.1455, 0.0081, 3.1457, 0.0039000000000000003, 0.8758, 0.0034000000000000002, 3.1459, 0.0037, 1.474, 0.0014, 0.008700000000000001, 0.0047, 0.008, 0.005200000000000001, 0.0068000000000000005, 0.007200000000000001, 0.0058000000000000005, 0.0054], \"bitstrings\": [\"10000100\", \"10000101\"], \"total_optimization_steps\": 330, \"probabilities\": [0.2528036527832158, 0.3069182101543243], \"optimization_time\": 28.467665910720825}","3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 8.5 * Z(0) + 16.5 * Z(2) + 20.5 * Z(3) + 12.5 * Z(4) + 5.0 * Z(5) + 20.5 * Z(6) + 7.5 * Z(7)",18,8,1,"{\"smallest_eigenvalues\": [-76.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -70.0, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(1.1973) q[0];\nrz(0.0062) q[0];\nrx(3.1453) q[1];\nrz(0.003) q[1];\nrx(3.1457) q[2];\nrz(0.0027) q[2];\nrx(3.1455) q[3];\nrz(0.0081) q[3];\nrx(3.1457) q[4];\nrz(0.0039) q[4];\nrx(0.8758) q[5];\nrz(0.0034) q[5];\nrx(3.1459) q[6];\nrz(0.0037) q[6];\nrx(1.474) q[7];\nrz(0.0014) q[7];\ncrz(0.0087) q[7], q[0];\ncrz(0.0054) q[6], q[7];\ncrz(0.0058) q[5], q[6];\ncrz(0.0072) q[4], q[5];\ncrz(0.0068) q[3], q[4];\ncrz(0.0052) q[2], q[3];\ncrz(0.008) q[1], q[2];\ncrz(0.0047) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x4) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\ncrz(x15) q[7], q[0];\ncrz(x16) q[6], q[7];\ncrz(x17) q[5], q[6];\ncrz(x18) q[4], q[5];\ncrz(x19) q[3], q[4];\ncrz(x20) q[2], q[3];\ncrz(x21) q[1], q[2];\ncrz(x22) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 6}\"}","{\"circuits\": [], \"gradients\": []}"]
["2500973695191569336","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 3, 4, 5], [2, 3, 4, 6], [0, 2], [0, 1, 4, 6], [0, 3, 5, 6], [1, 3, 6], [2, 3, 5, 6]]}","{\"states\": [23, 55], \"expectation_value\": -1.5883348727299886, \"params\": [0.0645, -0.8451000000000001, 0.061000000000000006, 0.0027, 0.8047000000000001, -0.4098, 0.7993, 0.0039000000000000003, 1.3904, 0.0014, 1.3772, 0.0037, 0.5867, -0.8270000000000001, 0.5851000000000001, 0.0047, 1.5686, -0.0021000000000000003, 1.5672000000000001, 0.007200000000000001, 1.5674000000000001, -0.0014, 1.5691000000000002, 0.0011, 1.5675000000000001, -0.0031000000000000003, 1.5702, 0.0022, -0.8259000000000001, 0.0032, -0.4277, 0.0022, 0.0018000000000000002, 0.009000000000000001, 0.0045000000000000005], \"bitstrings\": [\"1101000\", \"1001000\"], \"total_optimization_steps\": 180, \"probabilities\": [0.3467903667684623, 0.37103902198885486], \"optimization_time\": 21.99413752555847}","0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.41666666666666663 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.6666666666666666 * Z(3) + 0.41666666666666674 * Z(1) + 0.375 * Z(4) + 0.375 * Z(5) + 0.25 * Z(2) + 0.6666666666666666 * Z(6) + 0.2499999999999999 * Z(0)",7,7,1,"{\"smallest_eigenvalues\": [-2.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.9166666666666665, \"smallest_bitstrings\": [\"1001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0645) q[0];\nrz(-0.8451) q[0];\nrx(0.8047) q[1];\nrz(-0.4098) q[1];\nrx(1.3904) q[2];\nrz(0.0014) q[2];\nrx(0.5867) q[3];\nrz(-0.827) q[3];\nrx(1.5686) q[4];\nrz(-0.0021) q[4];\nrx(1.5674) q[5];\nrz(-0.0014) q[5];\nrx(1.5675) q[6];\nrz(-0.0031) q[6];\ncrz(-0.8259) q[1], q[0];\ncrz(-0.4277) q[3], q[2];\ncrz(0.0018) q[5], q[4];\nrx(0.061) q[0];\nrz(0.0027) q[0];\nrx(0.7993) q[1];\nrz(0.0039) q[1];\nrx(1.3772) q[2];\nrz(0.0037) q[2];\nrx(0.5851) q[3];\nrz(0.0047) q[3];\nrx(1.5672) q[4];\nrz(0.0072) q[4];\nrx(1.5691) q[5];\nrz(0.0011) q[5];\nrx(1.5702) q[6];\nrz(0.0022) q[6];\ncrz(0.0032) q[2], q[1];\ncrz(0.0022) q[4], q[3];\ncrz(0.009) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[1], q[0];\ncrz(x15) q[3], q[2];\ncrz(x16) q[5], q[4];\nrx(x17) q[0];\nrz(x18) q[0];\nrx(x19) q[1];\nrz(x20) q[1];\nrx(x21) q[2];\nrz(x22) q[2];\nrx(x23) q[3];\nrz(x24) q[3];\nrx(x25) q[4];\nrz(x26) q[4];\nrx(x27) q[5];\nrz(x28) q[5];\nrx(x29) q[6];\nrz(x30) q[6];\ncrz(x31) q[2], q[1];\ncrz(x30) q[4], q[3];\ncrz(x32) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["17cd9690776ef862a22ab9b1dedee537","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [69, 42], \"expectation_value\": -0.5929478292807779, \"params\": [[-0.0732, -0.0751], [0.0703, 0.0737]], \"bitstrings\": [\"0111010\", \"1010101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.011378950135294143, 0.011383049860980465], \"optimization_time\": 3.194974899291992}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) + -0.5 * Z(3) + -1.0 * Z(4)",1,7,2,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"1110100\", \"1101100\", \"1010101\", \"0110110\", \"0111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0732) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0732) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0732) q[2];\ncx q[0], q[2];\ncx q[0], q[5];\nrz(-0.0732) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(-0.0732) q[6];\ncx q[1], q[6];\ncx q[2], q[3];\nrz(-0.0732) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.0732) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(-0.0732) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(-0.0732) q[4];\ncx q[3], q[4];\nrz(0.1464) q[1];\nrz(0.1464) q[0];\nrz(0.2196) q[2];\nrz(0.0732) q[5];\nrz(0) q[6];\nrz(0.0732) q[3];\nrz(0.1464) q[4];\nh q[0];\nrz(0.1406) q[0];\nh q[0];\nh q[1];\nrz(0.1406) q[1];\nh q[1];\nh q[2];\nrz(0.1406) q[2];\nh q[2];\nh q[3];\nrz(0.1406) q[3];\nh q[3];\nh q[4];\nrz(0.1406) q[4];\nh q[4];\nh q[5];\nrz(0.1406) q[5];\nh q[5];\nh q[6];\nrz(0.1406) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0751) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0751) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0751) q[2];\ncx q[0], q[2];\ncx q[0], q[5];\nrz(-0.0751) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(-0.0751) q[6];\ncx q[1], q[6];\ncx q[2], q[3];\nrz(-0.0751) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(-0.0751) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(-0.0751) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(-0.0751) q[4];\ncx q[3], q[4];\nrz(0.1502) q[1];\nrz(0.1502) q[0];\nrz(0.2253) q[2];\nrz(0.0751) q[5];\nrz(0) q[6];\nrz(0.0751) q[3];\nrz(0.1502) q[4];\nh q[0];\nrz(0.1474) q[0];\nh q[0];\nh q[1];\nrz(0.1474) q[1];\nh q[1];\nh q[2];\nrz(0.1474) q[2];\nh q[2];\nh q[3];\nrz(0.1474) q[3];\nh q[3];\nh q[4];\nrz(0.1474) q[4];\nh q[4];\nh q[5];\nrz(0.1474) q[5];\nh q[5];\nh q[6];\nrz(0.1474) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x2) q[2];\nrz(x3) q[5];\nrz(x4) q[6];\nrz(x3) q[3];\nrz(x1) q[4];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[1], q[6];\nrz(x6) q[6];\ncx q[1], q[6];\ncx q[2], q[3];\nrz(x6) q[3];\ncx q[2], q[3];\ncx q[2], q[4];\nrz(x6) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x6) q[4];\ncx q[5], q[4];\ncx q[3], q[4];\nrz(x6) q[4];\ncx q[3], q[4];\nrz(x7) q[1];\nrz(x7) q[0];\nrz(x8) q[2];\nrz(x9) q[5];\nrz(x4) q[6];\nrz(x9) q[3];\nrz(x7) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["dac6cb03ea42611247637fffb99ef36a","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 0, \"target\": 9}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 8}, {\"capacity\": 2, \"source\": 2, \"target\": 9}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 8}, {\"capacity\": 2, \"source\": 3, \"target\": 9}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 10}, {\"capacity\": 2, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 7}, {\"capacity\": 1, \"source\": 7, \"target\": 10}, {\"capacity\": 1, \"source\": 8, \"target\": 7}, {\"capacity\": 1, \"source\": 9, \"target\": 1}, {\"capacity\": 2, \"source\": 9, \"target\": 2}, {\"capacity\": 2, \"source\": 9, \"target\": 6}, {\"capacity\": 1, \"source\": 9, \"target\": 8}]}","{\"states\": [0, 256], \"expectation_value\": -9.809830483959013, \"params\": [-0.0038, -0.0854, 0.0007, 0.0086, 0.0013000000000000002, -0.2944, 0.0057, -0.23520000000000002, 0.4082, 0.06960000000000001, 0.40940000000000004, 0.0016, 0.0032, -0.3039, 0.0022, -0.30210000000000004, 0.0046, -0.255, 0.0013000000000000002, -0.2851, 0.0039000000000000003, -0.2896, -0.0005, -0.3058, 0.0039000000000000003, -0.3018, -0.0002, -0.3009, 0.0031000000000000003, -0.2979, 0.0041, -0.3059, 0.0051, -0.2368, -0.00030000000000000003, -0.29860000000000003, 0.0017000000000000001, -0.2575, 0.006900000000000001, -0.13090000000000002, 0.0022, -0.3, 0.0037, -0.2716, -0.0009000000000000001, 0.1486, 0.0016, 0.0027, 0.0022, -0.22760000000000002, 0.0017000000000000001, 0.0058000000000000005, 0.4055, 0.075, 0.40840000000000004, 0.0067, 0.0032, -0.2897, 0.0028, 0.0074, -0.0014, -0.2883, 0.0053, 0.002, 0.0027, -0.2969, 0.0031000000000000003, 0.0036000000000000003, 0.005200000000000001, -0.30310000000000004, 0.0026000000000000003, 0.0029000000000000002, -0.001, -0.2907, 0.0046, 0.0089, 0.0016, -0.30010000000000003, 0.0045000000000000005, 0.0045000000000000005, -0.0007, -0.21150000000000002, 0.0025, 0.0036000000000000003, 0.0008, -0.2737, 0.0028, 0.0058000000000000005, 0.0245, 0.011000000000000001, 0.3078, 0.018500000000000003, 0.0161, 0.0238, 0.0039000000000000003, 0.0159, 0.0172, 0.014100000000000001, 0.0149, 0.0195, 0.011300000000000001, 0.2938, 0.020800000000000003, 0.0236, 0.019700000000000002, 0.0114, 0.016900000000000002, 0.015700000000000002, 0.0179, 0.0134], \"bitstrings\": [\"11111111111\", \"11011111111\"], \"total_optimization_steps\": 40, \"probabilities\": [0.4695768747279426, 0.5302239752012676], \"optimization_time\": 84.1437177658081}","-0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(10)) + -0.5 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(3) @ Z(10)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(10)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(9)) + 1.0 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(8)) + 1.75 * Z(4) + -0.25 * Z(0) + 0.0 * Z(10) + -1.25 * Z(1) + 0.25 * Z(7) + 0.75 * Z(3) + 1.0 * Z(5) + -1.0 * Z(6) + -0.75 * Z(9) + -1.0 * Z(8) + 0.5 * Z(2)",5,11,2,"{\"smallest_eigenvalues\": [-10.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.75, \"smallest_bitstrings\": [\"11011111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.0038) q[0];\nrz(-0.0854) q[0];\nrx(0.0013) q[1];\nrz(-0.2944) q[1];\nrx(0.4082) q[2];\nrz(0.0696) q[2];\nrx(0.0032) q[3];\nrz(-0.3039) q[3];\nrx(0.0046) q[4];\nrz(-0.255) q[4];\nrx(0.0039) q[5];\nrz(-0.2896) q[5];\nrx(0.0039) q[6];\nrz(-0.3018) q[6];\nrx(0.0031) q[7];\nrz(-0.2979) q[7];\nrx(0.0051) q[8];\nrz(-0.2368) q[8];\nrx(0.0017) q[9];\nrz(-0.2575) q[9];\nrx(0.0022) q[10];\nrz(-0.3) q[10];\ncrz(0.0141) q[10], q[9];\ncrz(0.0172) q[10], q[8];\ncrz(0.0159) q[10], q[7];\ncrz(0.0039) q[10], q[6];\ncrz(0.0238) q[10], q[5];\ncrz(0.0161) q[10], q[4];\ncrz(0.0185) q[10], q[3];\ncrz(0.3078) q[10], q[2];\ncrz(0.011) q[10], q[1];\ncrz(0.0245) q[10], q[0];\ncrz(0.0149) q[9], q[10];\ncrz(0.0172) q[9], q[8];\ncrz(0.0159) q[9], q[7];\ncrz(0.0039) q[9], q[6];\ncrz(0.0238) q[9], q[5];\ncrz(0.0161) q[9], q[4];\ncrz(0.0185) q[9], q[3];\ncrz(0.3078) q[9], q[2];\ncrz(0.011) q[9], q[1];\ncrz(0.0245) q[9], q[0];\ncrz(0.0149) q[8], q[10];\ncrz(0.0141) q[8], q[9];\ncrz(0.0159) q[8], q[7];\ncrz(0.0039) q[8], q[6];\ncrz(0.0238) q[8], q[5];\ncrz(0.0161) q[8], q[4];\ncrz(0.0185) q[8], q[3];\ncrz(0.3078) q[8], q[2];\ncrz(0.011) q[8], q[1];\ncrz(0.0245) q[8], q[0];\ncrz(0.0149) q[7], q[10];\ncrz(0.0141) q[7], q[9];\ncrz(0.0172) q[7], q[8];\ncrz(0.0039) q[7], q[6];\ncrz(0.0238) q[7], q[5];\ncrz(0.0161) q[7], q[4];\ncrz(0.0185) q[7], q[3];\ncrz(0.3078) q[7], q[2];\ncrz(0.011) q[7], q[1];\ncrz(0.0245) q[7], q[0];\ncrz(0.0149) q[6], q[10];\ncrz(0.0141) q[6], q[9];\ncrz(0.0172) q[6], q[8];\ncrz(0.0159) q[6], q[7];\ncrz(0.0238) q[6], q[5];\ncrz(0.0161) q[6], q[4];\ncrz(0.0185) q[6], q[3];\ncrz(0.3078) q[6], q[2];\ncrz(0.011) q[6], q[1];\ncrz(0.0245) q[6], q[0];\ncrz(0.0149) q[5], q[10];\ncrz(0.0141) q[5], q[9];\ncrz(0.0172) q[5], q[8];\ncrz(0.0159) q[5], q[7];\ncrz(0.0039) q[5], q[6];\ncrz(0.0161) q[5], q[4];\ncrz(0.0185) q[5], q[3];\ncrz(0.3078) q[5], q[2];\ncrz(0.011) q[5], q[1];\ncrz(0.0245) q[5], q[0];\ncrz(0.0149) q[4], q[10];\ncrz(0.0141) q[4], q[9];\ncrz(0.0172) q[4], q[8];\ncrz(0.0159) q[4], q[7];\ncrz(0.0039) q[4], q[6];\ncrz(0.0238) q[4], q[5];\ncrz(0.0185) q[4], q[3];\ncrz(0.3078) q[4], q[2];\ncrz(0.011) q[4], q[1];\ncrz(0.0245) q[4], q[0];\ncrz(0.0149) q[3], q[10];\ncrz(0.0141) q[3], q[9];\ncrz(0.0172) q[3], q[8];\ncrz(0.0159) q[3], q[7];\ncrz(0.0039) q[3], q[6];\ncrz(0.0238) q[3], q[5];\ncrz(0.0161) q[3], q[4];\ncrz(0.3078) q[3], q[2];\ncrz(0.011) q[3], q[1];\ncrz(0.0245) q[3], q[0];\ncrz(0.0149) q[2], q[10];\ncrz(0.0141) q[2], q[9];\ncrz(0.0172) q[2], q[8];\ncrz(0.0159) q[2], q[7];\ncrz(0.0039) q[2], q[6];\ncrz(0.0238) q[2], q[5];\ncrz(0.0161) q[2], q[4];\ncrz(0.0185) q[2], q[3];\ncrz(0.011) q[2], q[1];\ncrz(0.0245) q[2], q[0];\ncrz(0.0149) q[1], q[10];\ncrz(0.0141) q[1], q[9];\ncrz(0.0172) q[1], q[8];\ncrz(0.0159) q[1], q[7];\ncrz(0.0039) q[1], q[6];\ncrz(0.0238) q[1], q[5];\ncrz(0.0161) q[1], q[4];\ncrz(0.0185) q[1], q[3];\ncrz(0.3078) q[1], q[2];\ncrz(0.0245) q[1], q[0];\ncrz(0.0149) q[0], q[10];\ncrz(0.0141) q[0], q[9];\ncrz(0.0172) q[0], q[8];\ncrz(0.0159) q[0], q[7];\ncrz(0.0039) q[0], q[6];\ncrz(0.0238) q[0], q[5];\ncrz(0.0161) q[0], q[4];\ncrz(0.0185) q[0], q[3];\ncrz(0.3078) q[0], q[2];\ncrz(0.011) q[0], q[1];\nrx(0.0007) q[0];\nrz(0.0086) q[0];\nrx(0.0057) q[1];\nrz(-0.2352) q[1];\nrx(0.4094) q[2];\nrz(0.0016) q[2];\nrx(0.0022) q[3];\nrz(-0.3021) q[3];\nrx(0.0013) q[4];\nrz(-0.2851) q[4];\nrx(-0.0005) q[5];\nrz(-0.3058) q[5];\nrx(-0.0002) q[6];\nrz(-0.3009) q[6];\nrx(0.0041) q[7];\nrz(-0.3059) q[7];\nrx(-0.0003) q[8];\nrz(-0.2986) q[8];\nrx(0.0069) q[9];\nrz(-0.1309) q[9];\nrx(0.0037) q[10];\nrz(-0.2716) q[10];\nrx(-0.0009) q[0];\nrz(0.1486) q[0];\nrx(0.0022) q[1];\nrz(-0.2276) q[1];\nrx(0.4055) q[2];\nrz(0.075) q[2];\nrx(0.0032) q[3];\nrz(-0.2897) q[3];\nrx(-0.0014) q[4];\nrz(-0.2883) q[4];\nrx(0.0027) q[5];\nrz(-0.2969) q[5];\nrx(0.0052) q[6];\nrz(-0.3031) q[6];\nrx(-0.001) q[7];\nrz(-0.2907) q[7];\nrx(0.0016) q[8];\nrz(-0.3001) q[8];\nrx(-0.0007) q[9];\nrz(-0.2115) q[9];\nrx(0.0008) q[10];\nrz(-0.2737) q[10];\ncrz(0.0179) q[10], q[9];\ncrz(0.0157) q[10], q[8];\ncrz(0.0169) q[10], q[7];\ncrz(0.0114) q[10], q[6];\ncrz(0.0197) q[10], q[5];\ncrz(0.0236) q[10], q[4];\ncrz(0.0208) q[10], q[3];\ncrz(0.2938) q[10], q[2];\ncrz(0.0113) q[10], q[1];\ncrz(0.0195) q[10], q[0];\ncrz(0.0134) q[9], q[10];\ncrz(0.0157) q[9], q[8];\ncrz(0.0169) q[9], q[7];\ncrz(0.0114) q[9], q[6];\ncrz(0.0197) q[9], q[5];\ncrz(0.0236) q[9], q[4];\ncrz(0.0208) q[9], q[3];\ncrz(0.2938) q[9], q[2];\ncrz(0.0113) q[9], q[1];\ncrz(0.0195) q[9], q[0];\ncrz(0.0134) q[8], q[10];\ncrz(0.0179) q[8], q[9];\ncrz(0.0169) q[8], q[7];\ncrz(0.0114) q[8], q[6];\ncrz(0.0197) q[8], q[5];\ncrz(0.0236) q[8], q[4];\ncrz(0.0208) q[8], q[3];\ncrz(0.2938) q[8], q[2];\ncrz(0.0113) q[8], q[1];\ncrz(0.0195) q[8], q[0];\ncrz(0.0134) q[7], q[10];\ncrz(0.0179) q[7], q[9];\ncrz(0.0157) q[7], q[8];\ncrz(0.0114) q[7], q[6];\ncrz(0.0197) q[7], q[5];\ncrz(0.0236) q[7], q[4];\ncrz(0.0208) q[7], q[3];\ncrz(0.2938) q[7], q[2];\ncrz(0.0113) q[7], q[1];\ncrz(0.0195) q[7], q[0];\ncrz(0.0134) q[6], q[10];\ncrz(0.0179) q[6], q[9];\ncrz(0.0157) q[6], q[8];\ncrz(0.0169) q[6], q[7];\ncrz(0.0197) q[6], q[5];\ncrz(0.0236) q[6], q[4];\ncrz(0.0208) q[6], q[3];\ncrz(0.2938) q[6], q[2];\ncrz(0.0113) q[6], q[1];\ncrz(0.0195) q[6], q[0];\ncrz(0.0134) q[5], q[10];\ncrz(0.0179) q[5], q[9];\ncrz(0.0157) q[5], q[8];\ncrz(0.0169) q[5], q[7];\ncrz(0.0114) q[5], q[6];\ncrz(0.0236) q[5], q[4];\ncrz(0.0208) q[5], q[3];\ncrz(0.2938) q[5], q[2];\ncrz(0.0113) q[5], q[1];\ncrz(0.0195) q[5], q[0];\ncrz(0.0134) q[4], q[10];\ncrz(0.0179) q[4], q[9];\ncrz(0.0157) q[4], q[8];\ncrz(0.0169) q[4], q[7];\ncrz(0.0114) q[4], q[6];\ncrz(0.0197) q[4], q[5];\ncrz(0.0208) q[4], q[3];\ncrz(0.2938) q[4], q[2];\ncrz(0.0113) q[4], q[1];\ncrz(0.0195) q[4], q[0];\ncrz(0.0134) q[3], q[10];\ncrz(0.0179) q[3], q[9];\ncrz(0.0157) q[3], q[8];\ncrz(0.0169) q[3], q[7];\ncrz(0.0114) q[3], q[6];\ncrz(0.0197) q[3], q[5];\ncrz(0.0236) q[3], q[4];\ncrz(0.2938) q[3], q[2];\ncrz(0.0113) q[3], q[1];\ncrz(0.0195) q[3], q[0];\ncrz(0.0134) q[2], q[10];\ncrz(0.0179) q[2], q[9];\ncrz(0.0157) q[2], q[8];\ncrz(0.0169) q[2], q[7];\ncrz(0.0114) q[2], q[6];\ncrz(0.0197) q[2], q[5];\ncrz(0.0236) q[2], q[4];\ncrz(0.0208) q[2], q[3];\ncrz(0.0113) q[2], q[1];\ncrz(0.0195) q[2], q[0];\ncrz(0.0134) q[1], q[10];\ncrz(0.0179) q[1], q[9];\ncrz(0.0157) q[1], q[8];\ncrz(0.0169) q[1], q[7];\ncrz(0.0114) q[1], q[6];\ncrz(0.0197) q[1], q[5];\ncrz(0.0236) q[1], q[4];\ncrz(0.0208) q[1], q[3];\ncrz(0.2938) q[1], q[2];\ncrz(0.0195) q[1], q[0];\ncrz(0.0134) q[0], q[10];\ncrz(0.0179) q[0], q[9];\ncrz(0.0157) q[0], q[8];\ncrz(0.0169) q[0], q[7];\ncrz(0.0114) q[0], q[6];\ncrz(0.0197) q[0], q[5];\ncrz(0.0236) q[0], q[4];\ncrz(0.0208) q[0], q[3];\ncrz(0.2938) q[0], q[2];\ncrz(0.0113) q[0], q[1];\nrx(0.0016) q[0];\nrz(0.0027) q[0];\nrx(0.0017) q[1];\nrz(0.0058) q[1];\nrx(0.4084) q[2];\nrz(0.0067) q[2];\nrx(0.0028) q[3];\nrz(0.0074) q[3];\nrx(0.0053) q[4];\nrz(0.002) q[4];\nrx(0.0031) q[5];\nrz(0.0036) q[5];\nrx(0.0026) q[6];\nrz(0.0029) q[6];\nrx(0.0046) q[7];\nrz(0.0089) q[7];\nrx(0.0045) q[8];\nrz(0.0045) q[8];\nrx(0.0025) q[9];\nrz(0.0036) q[9];\nrx(0.0028) q[10];\nrz(0.0058) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x10) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\ncrz(x21) q[10], q[9];\ncrz(x22) q[10], q[8];\ncrz(x23) q[10], q[7];\ncrz(x10) q[10], q[6];\ncrz(x24) q[10], q[5];\ncrz(x25) q[10], q[4];\ncrz(x26) q[10], q[3];\ncrz(x27) q[10], q[2];\ncrz(x28) q[10], q[1];\ncrz(x29) q[10], q[0];\ncrz(x30) q[9], q[10];\ncrz(x22) q[9], q[8];\ncrz(x23) q[9], q[7];\ncrz(x10) q[9], q[6];\ncrz(x24) q[9], q[5];\ncrz(x25) q[9], q[4];\ncrz(x26) q[9], q[3];\ncrz(x27) q[9], q[2];\ncrz(x28) q[9], q[1];\ncrz(x29) q[9], q[0];\ncrz(x30) q[8], q[10];\ncrz(x21) q[8], q[9];\ncrz(x23) q[8], q[7];\ncrz(x10) q[8], q[6];\ncrz(x24) q[8], q[5];\ncrz(x25) q[8], q[4];\ncrz(x26) q[8], q[3];\ncrz(x27) q[8], q[2];\ncrz(x28) q[8], q[1];\ncrz(x29) q[8], q[0];\ncrz(x30) q[7], q[10];\ncrz(x21) q[7], q[9];\ncrz(x22) q[7], q[8];\ncrz(x10) q[7], q[6];\ncrz(x24) q[7], q[5];\ncrz(x25) q[7], q[4];\ncrz(x26) q[7], q[3];\ncrz(x27) q[7], q[2];\ncrz(x28) q[7], q[1];\ncrz(x29) q[7], q[0];\ncrz(x30) q[6], q[10];\ncrz(x21) q[6], q[9];\ncrz(x22) q[6], q[8];\ncrz(x23) q[6], q[7];\ncrz(x24) q[6], q[5];\ncrz(x25) q[6], q[4];\ncrz(x26) q[6], q[3];\ncrz(x27) q[6], q[2];\ncrz(x28) q[6], q[1];\ncrz(x29) q[6], q[0];\ncrz(x30) q[5], q[10];\ncrz(x21) q[5], q[9];\ncrz(x22) q[5], q[8];\ncrz(x23) q[5], q[7];\ncrz(x10) q[5], q[6];\ncrz(x25) q[5], q[4];\ncrz(x26) q[5], q[3];\ncrz(x27) q[5], q[2];\ncrz(x28) q[5], q[1];\ncrz(x29) q[5], q[0];\ncrz(x30) q[4], q[10];\ncrz(x21) q[4], q[9];\ncrz(x22) q[4], q[8];\ncrz(x23) q[4], q[7];\ncrz(x10) q[4], q[6];\ncrz(x24) q[4], q[5];\ncrz(x26) q[4], q[3];\ncrz(x27) q[4], q[2];\ncrz(x28) q[4], q[1];\ncrz(x29) q[4], q[0];\ncrz(x30) q[3], q[10];\ncrz(x21) q[3], q[9];\ncrz(x22) q[3], q[8];\ncrz(x23) q[3], q[7];\ncrz(x10) q[3], q[6];\ncrz(x24) q[3], q[5];\ncrz(x25) q[3], q[4];\ncrz(x27) q[3], q[2];\ncrz(x28) q[3], q[1];\ncrz(x29) q[3], q[0];\ncrz(x30) q[2], q[10];\ncrz(x21) q[2], q[9];\ncrz(x22) q[2], q[8];\ncrz(x23) q[2], q[7];\ncrz(x10) q[2], q[6];\ncrz(x24) q[2], q[5];\ncrz(x25) q[2], q[4];\ncrz(x26) q[2], q[3];\ncrz(x28) q[2], q[1];\ncrz(x29) q[2], q[0];\ncrz(x30) q[1], q[10];\ncrz(x21) q[1], q[9];\ncrz(x22) q[1], q[8];\ncrz(x23) q[1], q[7];\ncrz(x10) q[1], q[6];\ncrz(x24) q[1], q[5];\ncrz(x25) q[1], q[4];\ncrz(x26) q[1], q[3];\ncrz(x27) q[1], q[2];\ncrz(x29) q[1], q[0];\ncrz(x30) q[0], q[10];\ncrz(x21) q[0], q[9];\ncrz(x22) q[0], q[8];\ncrz(x23) q[0], q[7];\ncrz(x10) q[0], q[6];\ncrz(x24) q[0], q[5];\ncrz(x25) q[0], q[4];\ncrz(x26) q[0], q[3];\ncrz(x27) q[0], q[2];\ncrz(x28) q[0], q[1];\nrx(x31) q[0];\nrz(x32) q[0];\nrx(x33) q[1];\nrz(x34) q[1];\nrx(x35) q[2];\nrz(x36) q[2];\nrx(x19) q[3];\nrz(x37) q[3];\nrx(x2) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nrx(x49) q[10];\nrz(x50) q[10];\nrx(x51) q[0];\nrz(x52) q[0];\nrx(x19) q[1];\nrz(x53) q[1];\nrx(x54) q[2];\nrz(x55) q[2];\nrx(x6) q[3];\nrz(x56) q[3];\nrx(x57) q[4];\nrz(x58) q[4];\nrx(x59) q[5];\nrz(x60) q[5];\nrx(x61) q[6];\nrz(x62) q[6];\nrx(x63) q[7];\nrz(x64) q[7];\nrx(x36) q[8];\nrz(x65) q[8];\nrx(x66) q[9];\nrz(x67) q[9];\nrx(x68) q[10];\nrz(x69) q[10];\ncrz(x70) q[10], q[9];\ncrz(x71) q[10], q[8];\ncrz(x72) q[10], q[7];\ncrz(x73) q[10], q[6];\ncrz(x74) q[10], q[5];\ncrz(x75) q[10], q[4];\ncrz(x76) q[10], q[3];\ncrz(x77) q[10], q[2];\ncrz(x78) q[10], q[1];\ncrz(x79) q[10], q[0];\ncrz(x80) q[9], q[10];\ncrz(x71) q[9], q[8];\ncrz(x72) q[9], q[7];\ncrz(x73) q[9], q[6];\ncrz(x74) q[9], q[5];\ncrz(x75) q[9], q[4];\ncrz(x76) q[9], q[3];\ncrz(x77) q[9], q[2];\ncrz(x78) q[9], q[1];\ncrz(x79) q[9], q[0];\ncrz(x80) q[8], q[10];\ncrz(x70) q[8], q[9];\ncrz(x72) q[8], q[7];\ncrz(x73) q[8], q[6];\ncrz(x74) q[8], q[5];\ncrz(x75) q[8], q[4];\ncrz(x76) q[8], q[3];\ncrz(x77) q[8], q[2];\ncrz(x78) q[8], q[1];\ncrz(x79) q[8], q[0];\ncrz(x80) q[7], q[10];\ncrz(x70) q[7], q[9];\ncrz(x71) q[7], q[8];\ncrz(x73) q[7], q[6];\ncrz(x74) q[7], q[5];\ncrz(x75) q[7], q[4];\ncrz(x76) q[7], q[3];\ncrz(x77) q[7], q[2];\ncrz(x78) q[7], q[1];\ncrz(x79) q[7], q[0];\ncrz(x80) q[6], q[10];\ncrz(x70) q[6], q[9];\ncrz(x71) q[6], q[8];\ncrz(x72) q[6], q[7];\ncrz(x74) q[6], q[5];\ncrz(x75) q[6], q[4];\ncrz(x76) q[6], q[3];\ncrz(x77) q[6], q[2];\ncrz(x78) q[6], q[1];\ncrz(x79) q[6], q[0];\ncrz(x80) q[5], q[10];\ncrz(x70) q[5], q[9];\ncrz(x71) q[5], q[8];\ncrz(x72) q[5], q[7];\ncrz(x73) q[5], q[6];\ncrz(x75) q[5], q[4];\ncrz(x76) q[5], q[3];\ncrz(x77) q[5], q[2];\ncrz(x78) q[5], q[1];\ncrz(x79) q[5], q[0];\ncrz(x80) q[4], q[10];\ncrz(x70) q[4], q[9];\ncrz(x71) q[4], q[8];\ncrz(x72) q[4], q[7];\ncrz(x73) q[4], q[6];\ncrz(x74) q[4], q[5];\ncrz(x76) q[4], q[3];\ncrz(x77) q[4], q[2];\ncrz(x78) q[4], q[1];\ncrz(x79) q[4], q[0];\ncrz(x80) q[3], q[10];\ncrz(x70) q[3], q[9];\ncrz(x71) q[3], q[8];\ncrz(x72) q[3], q[7];\ncrz(x73) q[3], q[6];\ncrz(x74) q[3], q[5];\ncrz(x75) q[3], q[4];\ncrz(x77) q[3], q[2];\ncrz(x78) q[3], q[1];\ncrz(x79) q[3], q[0];\ncrz(x80) q[2], q[10];\ncrz(x70) q[2], q[9];\ncrz(x71) q[2], q[8];\ncrz(x72) q[2], q[7];\ncrz(x73) q[2], q[6];\ncrz(x74) q[2], q[5];\ncrz(x75) q[2], q[4];\ncrz(x76) q[2], q[3];\ncrz(x78) q[2], q[1];\ncrz(x79) q[2], q[0];\ncrz(x80) q[1], q[10];\ncrz(x70) q[1], q[9];\ncrz(x71) q[1], q[8];\ncrz(x72) q[1], q[7];\ncrz(x73) q[1], q[6];\ncrz(x74) q[1], q[5];\ncrz(x75) q[1], q[4];\ncrz(x76) q[1], q[3];\ncrz(x77) q[1], q[2];\ncrz(x79) q[1], q[0];\ncrz(x80) q[0], q[10];\ncrz(x70) q[0], q[9];\ncrz(x71) q[0], q[8];\ncrz(x72) q[0], q[7];\ncrz(x73) q[0], q[6];\ncrz(x74) q[0], q[5];\ncrz(x75) q[0], q[4];\ncrz(x76) q[0], q[3];\ncrz(x77) q[0], q[2];\ncrz(x78) q[0], q[1];\nrx(x36) q[0];\nrz(x59) q[0];\nrx(x17) q[1];\nrz(x81) q[1];\nrx(x82) q[2];\nrz(x83) q[2];\nrx(x84) q[3];\nrz(x85) q[3];\nrx(x86) q[4];\nrz(x87) q[4];\nrx(x13) q[5];\nrz(x88) q[5];\nrx(x89) q[6];\nrz(x90) q[6];\nrx(x8) q[7];\nrz(x91) q[7];\nrx(x92) q[8];\nrz(x92) q[8];\nrx(x93) q[9];\nrz(x88) q[9];\nrx(x84) q[10];\nrz(x81) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["a91613587e2e3ed31c854337981da9dd","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 5, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 6}, {\"capacity\": 5, \"source\": 5, \"target\": 3}, {\"capacity\": 4, \"source\": 6, \"target\": 4}]}","{\"states\": [1, 5], \"expectation_value\": -8.994069887330976, \"params\": null, \"bitstrings\": [\"11111110\", \"11111010\"], \"total_optimization_steps\": 21, \"probabilities\": [0.49801329686780876, 0.49901874048113365], \"optimization_time\": 19.410682916641235}","-0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -1.75 * Z(4) + 1.25 * Z(5)",1,8,1,"{\"smallest_eigenvalues\": [-9.0, -9.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -8.0, \"smallest_bitstrings\": [\"11111110\", \"11111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nry(-1.5708) q[2];\nry(-1.5708) q[3];\nry(-1.5708) q[6];\nry(1.4449) q[7];\ncry(-1.5481) q[7], q[0];\nry(-1.444) q[1];\ncry(-0.1195) q[7], q[1];\ncry(0.0839) q[5], q[7];\nry(-0.0245) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 7}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5708) q[4];\\nry(-1.5708) q[2];\\nry(-1.5708) q[3];\\nry(-1.5708) q[6];\\nry(1.4449) q[7];\\ncry(-1.5481) q[7], q[0];\\nry(-1.444) q[1];\\ncry(-0.1195) q[7], q[1];\\ncry(0.0839) q[5], q[7];\\nry(-0.0245) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\"], \"gradients\": [1.7412, 1.987, 1.7417, 1.7491, 0.4985, 0.7463, 0.4989, 0.0637, 0.0438, 0.026, 0.0125, 0.0087, 0.0075, 0.0075, 0.0062, 0.0052, 0.0052, 0.005, 0.0035, 0.0035, 0.003]}"]
["9e3fd441307ea46e321a51e29b173f1a","max_flow","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 2}]}","{\"states\": [111, 239], \"expectation_value\": -16.353013781080552, \"params\": [[[-0.0023, 1.7123000000000002, 0.007500000000000001, 0.0033], [0.0035, 0.4576, 0.0027, 0.0025], [-0.0528, -0.042800000000000005, 0.0035, -0.0366], [0.16440000000000002, 0.7308, 0.0451, 0.002], [-0.1918, 0.08950000000000001, 0.0088, 0.0882], [0.6197, -0.0236, 0.5157, 0.0001], [0.0026000000000000003, -0.5612, 0.0092, -0.5660000000000001], [0.5592, -0.0703, 0.5543, 0.006200000000000001], [0.0059, 0.45890000000000003, 0.0012000000000000001, 0.4626], [0.8583000000000001, 0.2119, 0.8510000000000001, 0.0], [-0.28190000000000004, 1.3064, 0.0059, 0.009600000000000001]], [[0.0048000000000000004, 0.9767, 0.0081, 0.0051], [0.0053, 1.1928, -0.014, 0.0044], [-0.1544, -0.6558, 0.0009000000000000001, -0.6608], [0.1981, 1.2954, 0.10740000000000001, 0.006200000000000001], [0.9269000000000001, 0.0342, 0.008700000000000001, 0.029400000000000003], [0.5297000000000001, 0.013300000000000001, 0.1905, 0.0083], [-0.0018000000000000002, 0.4288, 0.0004, 0.4218], [0.499, 0.0154, 0.4914, 0.0016], [1.1203, -0.0114, 0.0091, -0.0143], [0.6751, 1.1674, 0.0361, 0.007], [-0.4728, 0.07490000000000001, 0.0006000000000000001, 0.0006000000000000001]], [[-0.004, 1.2162, 0.009000000000000001, 0.0067], [-0.0095, 1.2285000000000001, 0.0135, 0.0036000000000000003], [-0.0386, 0.3305, 0.0098, 0.3279], [-0.1779, 1.6099, 0.3811, 0.0061], [-0.8874000000000001, -0.063, 0.0024000000000000002, -0.0608], [0.18960000000000002, -0.039, 0.27440000000000003, 0.0097], [0.0047, 0.3931, 0.0034000000000000002, 0.398], [-0.0442, 0.33130000000000004, 0.0363, 0.0035], [0.8772000000000001, 0.013600000000000001, 0.0081, 0.017], [-0.2388, -0.4197, -0.0198, 0.0034000000000000002], [2.4601, -1.5812000000000002, 0.0024000000000000002, 0.0043]], [[0.0088, 0.0077, 0.009600000000000001, 0.0012000000000000001], [0.0061, 1.0711, -0.0244, 0.0085], [0.16390000000000002, 0.0098, 0.004, 0.0038], [-0.5964, 0.4374, -0.5396000000000001, 0.0086], [1.0436, 0.005, 0.0058000000000000005, 0.0024000000000000002], [0.2391, -0.0618, 0.1665, 0.0047], [-0.0034000000000000002, 0.0046, 0.0098, 0.004200000000000001], [0.1307, -0.1116, -0.0489, 0.004], [1.1682000000000001, 0.0067, 0.0034000000000000002, 0.0071], [0.2126, -0.9839, 0.0357, 0.0061], [0.5841000000000001, 0.0082, 0.006500000000000001, 0.0073]]], \"bitstrings\": [\"11110010000\", \"11100010000\"], \"total_optimization_steps\": 390, \"probabilities\": [0.21523867869140303, 0.5617153432584978], \"optimization_time\": 47.577460050582886}","2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(10)) + 1.0 * (Z(3) @ Z(2)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + -0.25 * (Z(0) @ Z(1)) + 8.0 * Z(5) + 4.0 * Z(4) + 3.0 * Z(6) + 1.5 * Z(9) + 1.5 * Z(10) + -3.0 * Z(2) + -3.0 * Z(3) + 2.5 * Z(7) + 5.0 * Z(8) + -0.5 * Z(1) + -0.5 * Z(0)",12,11,4,"{\"smallest_eigenvalues\": [-17.25, -17.25, -17.25], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -16.25, \"smallest_bitstrings\": [\"11000000000\", \"11010010000\", \"11100010000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(-0.0023) q[0];\nrz(1.7123) q[0];\nry(0.0035) q[1];\nrz(0.4576) q[1];\nry(-0.0528) q[2];\nrz(-0.0428) q[2];\nry(0.1644) q[3];\nrz(0.7308) q[3];\nry(-0.1918) q[4];\nrz(0.0895) q[4];\nry(0.6197) q[5];\nrz(-0.0236) q[5];\nry(0.0026) q[6];\nrz(-0.5612) q[6];\nry(0.5592) q[7];\nrz(-0.0703) q[7];\nry(0.0059) q[8];\nrz(0.4589) q[8];\nry(0.8583) q[9];\nrz(0.2119) q[9];\nry(-0.2819) q[10];\nrz(1.3064) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(0.0027) q[1];\nry(0.0027) q[1];\nrz(-0.0366) q[2];\nrz(-0.0366) q[2];\ncz q[2], q[1];\nry(0.0451) q[3];\nry(0.0451) q[3];\nrz(0.0882) q[4];\nrz(0.0882) q[4];\ncz q[4], q[3];\nry(0.5157) q[5];\nry(0.5157) q[5];\nrz(-0.566) q[6];\nrz(-0.566) q[6];\ncz q[6], q[5];\nry(0.5543) q[7];\nry(0.5543) q[7];\nrz(0.4626) q[8];\nrz(0.4626) q[8];\ncz q[8], q[7];\nry(0.851) q[9];\nry(0.851) q[9];\ncz q[10], q[9];\nry(0.0048) q[0];\nrz(0.9767) q[0];\nry(0.0053) q[1];\nrz(1.1928) q[1];\nry(-0.1544) q[2];\nrz(-0.6558) q[2];\nry(0.1981) q[3];\nrz(1.2954) q[3];\nry(0.9269) q[4];\nrz(0.0342) q[4];\nry(0.5297) q[5];\nrz(0.0133) q[5];\nry(-0.0018) q[6];\nrz(0.4288) q[6];\nry(0.499) q[7];\nrz(0.0154) q[7];\nry(1.1203) q[8];\nrz(-0.0114) q[8];\nry(0.6751) q[9];\nrz(1.1674) q[9];\nry(-0.4728) q[10];\nrz(0.0749) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(-0.014) q[1];\nry(-0.014) q[1];\nrz(-0.6608) q[2];\nrz(-0.6608) q[2];\ncz q[2], q[1];\nry(0.1074) q[3];\nry(0.1074) q[3];\nrz(0.0294) q[4];\nrz(0.0294) q[4];\ncz q[4], q[3];\nry(0.1905) q[5];\nry(0.1905) q[5];\nrz(0.4218) q[6];\nrz(0.4218) q[6];\ncz q[6], q[5];\nry(0.4914) q[7];\nry(0.4914) q[7];\nrz(-0.0143) q[8];\nrz(-0.0143) q[8];\ncz q[8], q[7];\nry(0.0361) q[9];\nry(0.0361) q[9];\ncz q[10], q[9];\nry(-0.004) q[0];\nrz(1.2162) q[0];\nry(-0.0095) q[1];\nrz(1.2285) q[1];\nry(-0.0386) q[2];\nrz(0.3305) q[2];\nry(-0.1779) q[3];\nrz(1.6099) q[3];\nry(-0.8874) q[4];\nrz(-0.063) q[4];\nry(0.1896) q[5];\nrz(-0.039) q[5];\nry(0.0047) q[6];\nrz(0.3931) q[6];\nry(-0.0442) q[7];\nrz(0.3313) q[7];\nry(0.8772) q[8];\nrz(0.0136) q[8];\nry(-0.2388) q[9];\nrz(-0.4197) q[9];\nry(2.4601) q[10];\nrz(-1.5812) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(0.0135) q[1];\nry(0.0135) q[1];\nrz(0.3279) q[2];\nrz(0.3279) q[2];\ncz q[2], q[1];\nry(0.3811) q[3];\nry(0.3811) q[3];\nrz(-0.0608) q[4];\nrz(-0.0608) q[4];\ncz q[4], q[3];\nry(0.2744) q[5];\nry(0.2744) q[5];\nrz(0.398) q[6];\nrz(0.398) q[6];\ncz q[6], q[5];\nry(0.0363) q[7];\nry(0.0363) q[7];\nrz(0.017) q[8];\nrz(0.017) q[8];\ncz q[8], q[7];\nry(-0.0198) q[9];\nry(-0.0198) q[9];\ncz q[10], q[9];\nry(0.0088) q[0];\nrz(0.0077) q[0];\nry(0.0061) q[1];\nrz(1.0711) q[1];\nry(0.1639) q[2];\nrz(0.0098) q[2];\nry(-0.5964) q[3];\nrz(0.4374) q[3];\nry(1.0436) q[4];\nrz(0.005) q[4];\nry(0.2391) q[5];\nrz(-0.0618) q[5];\nry(-0.0034) q[6];\nrz(0.0046) q[6];\nry(0.1307) q[7];\nrz(-0.1116) q[7];\nry(1.1682) q[8];\nrz(0.0067) q[8];\nry(0.2126) q[9];\nrz(-0.9839) q[9];\nry(0.5841) q[10];\nrz(0.0082) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(-0.0244) q[1];\nry(-0.0244) q[1];\nrz(0.0038) q[2];\nrz(0.0038) q[2];\ncz q[2], q[1];\nry(-0.5396) q[3];\nry(-0.5396) q[3];\nrz(0.0024) q[4];\nrz(0.0024) q[4];\ncz q[4], q[3];\nry(0.1665) q[5];\nry(0.1665) q[5];\nrz(0.0042) q[6];\nrz(0.0042) q[6];\ncz q[6], q[5];\nry(-0.0489) q[7];\nry(-0.0489) q[7];\nrz(0.0071) q[8];\nrz(0.0071) q[8];\ncz q[8], q[7];\nry(0.0357) q[9];\nry(0.0357) q[9];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x18) q[9];\nrz(x19) q[9];\nry(x20) q[10];\nrz(x21) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x22) q[1];\nry(x22) q[1];\nrz(x23) q[2];\nrz(x23) q[2];\ncz q[2], q[1];\nry(x24) q[3];\nry(x24) q[3];\nrz(x25) q[4];\nrz(x25) q[4];\ncz q[4], q[3];\nry(x26) q[5];\nry(x26) q[5];\nrz(x27) q[6];\nrz(x27) q[6];\ncz q[6], q[5];\nry(x28) q[7];\nry(x28) q[7];\nrz(x29) q[8];\nrz(x29) q[8];\ncz q[8], q[7];\nry(x30) q[9];\nry(x30) q[9];\ncz q[10], q[9];\nry(x31) q[0];\nrz(x32) q[0];\nry(x33) q[1];\nrz(x34) q[1];\nry(x35) q[2];\nrz(x36) q[2];\nry(x37) q[3];\nrz(x38) q[3];\nry(x39) q[4];\nrz(x40) q[4];\nry(x41) q[5];\nrz(x42) q[5];\nry(x43) q[6];\nrz(x44) q[6];\nry(x45) q[7];\nrz(x46) q[7];\nry(x47) q[8];\nrz(x48) q[8];\nry(x49) q[9];\nrz(x50) q[9];\nry(x51) q[10];\nrz(x52) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x53) q[1];\nry(x53) q[1];\nrz(x54) q[2];\nrz(x54) q[2];\ncz q[2], q[1];\nry(x55) q[3];\nry(x55) q[3];\nrz(x56) q[4];\nrz(x56) q[4];\ncz q[4], q[3];\nry(x57) q[5];\nry(x57) q[5];\nrz(x58) q[6];\nrz(x58) q[6];\ncz q[6], q[5];\nry(x59) q[7];\nry(x59) q[7];\nrz(x60) q[8];\nrz(x60) q[8];\ncz q[8], q[7];\nry(x61) q[9];\nry(x61) q[9];\ncz q[10], q[9];\nry(x62) q[0];\nrz(x63) q[0];\nry(x64) q[1];\nrz(x65) q[1];\nry(x66) q[2];\nrz(x67) q[2];\nry(x68) q[3];\nrz(x69) q[3];\nry(x70) q[4];\nrz(x71) q[4];\nry(x72) q[5];\nrz(x73) q[5];\nry(x74) q[6];\nrz(x75) q[6];\nry(x76) q[7];\nrz(x77) q[7];\nry(x78) q[8];\nrz(x79) q[8];\nry(x80) q[9];\nrz(x81) q[9];\nry(x82) q[10];\nrz(x83) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x84) q[1];\nry(x84) q[1];\nrz(x85) q[2];\nrz(x85) q[2];\ncz q[2], q[1];\nry(x86) q[3];\nry(x86) q[3];\nrz(x87) q[4];\nrz(x87) q[4];\ncz q[4], q[3];\nry(x88) q[5];\nry(x88) q[5];\nrz(x89) q[6];\nrz(x89) q[6];\ncz q[6], q[5];\nry(x90) q[7];\nry(x90) q[7];\nrz(x91) q[8];\nrz(x91) q[8];\ncz q[8], q[7];\nry(x92) q[9];\nry(x92) q[9];\ncz q[10], q[9];\nry(x93) q[0];\nrz(x94) q[0];\nry(x95) q[1];\nrz(x96) q[1];\nry(x97) q[2];\nrz(x98) q[2];\nry(x99) q[3];\nrz(x100) q[3];\nry(x101) q[4];\nrz(x102) q[4];\nry(x103) q[5];\nrz(x104) q[5];\nry(x105) q[6];\nrz(x106) q[6];\nry(x107) q[7];\nrz(x108) q[7];\nry(x109) q[8];\nrz(x110) q[8];\nry(x111) q[9];\nrz(x112) q[9];\nry(x113) q[10];\nrz(x114) q[10];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\nry(x115) q[1];\nry(x115) q[1];\nrz(x116) q[2];\nrz(x116) q[2];\ncz q[2], q[1];\nry(x117) q[3];\nry(x117) q[3];\nrz(x118) q[4];\nrz(x118) q[4];\ncz q[4], q[3];\nry(x119) q[5];\nry(x119) q[5];\nrz(x120) q[6];\nrz(x120) q[6];\ncz q[6], q[5];\nry(x121) q[7];\nry(x121) q[7];\nrz(x122) q[8];\nrz(x122) q[8];\ncz q[8], q[7];\nry(x123) q[9];\nry(x123) q[9];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["95b1142ae8d79cc944e68dc71d440182","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 7, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 6, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 5, \"source\": 4, \"target\": 3}]}","{\"states\": [32, 1], \"expectation_value\": -2.851529342736096, \"params\": [[-0.06720000000000001, -0.051500000000000004, -0.040400000000000005, -0.0522], [0.08320000000000001, 0.0756, 0.065, 0.060500000000000005]], \"bitstrings\": [\"011111\", \"111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.04582240558662844, 0.04741495033989812], \"optimization_time\": 4.317478179931641}","-0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4)",1,6,4,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"111110\", \"110000\", \"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[0];\nrz(0.1008) q[0];\ncx q[3], q[0];\ncx q[0], q[5];\nrz(-0.1344) q[5];\ncx q[0], q[5];\ncx q[5], q[2];\nrz(0.1008) q[2];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(0.1008) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(0.3696) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(0.1344) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(0.0672) q[4];\ncx q[1], q[4];\nrz(-0.0336) q[3];\nrz(0.0336) q[0];\nrz(-0.0336) q[5];\nrz(0.0336) q[2];\nrz(0.168) q[1];\nrz(-0.168) q[4];\nh q[0];\nrz(0.1664) q[0];\nh q[0];\nh q[1];\nrz(0.1664) q[1];\nh q[1];\nh q[2];\nrz(0.1664) q[2];\nh q[2];\nh q[3];\nrz(0.1664) q[3];\nh q[3];\nh q[4];\nrz(0.1664) q[4];\nh q[4];\nh q[5];\nrz(0.1664) q[5];\nh q[5];\ncx q[3], q[0];\nrz(0.0773) q[0];\ncx q[3], q[0];\ncx q[0], q[5];\nrz(-0.103) q[5];\ncx q[0], q[5];\ncx q[5], q[2];\nrz(0.0773) q[2];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(0.0773) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(0.2833) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(0.103) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(0.0515) q[4];\ncx q[1], q[4];\nrz(-0.0258) q[3];\nrz(0.0258) q[0];\nrz(-0.0258) q[5];\nrz(0.0258) q[2];\nrz(0.1288) q[1];\nrz(-0.1288) q[4];\nh q[0];\nrz(0.1512) q[0];\nh q[0];\nh q[1];\nrz(0.1512) q[1];\nh q[1];\nh q[2];\nrz(0.1512) q[2];\nh q[2];\nh q[3];\nrz(0.1512) q[3];\nh q[3];\nh q[4];\nrz(0.1512) q[4];\nh q[4];\nh q[5];\nrz(0.1512) q[5];\nh q[5];\ncx q[3], q[0];\nrz(0.0606) q[0];\ncx q[3], q[0];\ncx q[0], q[5];\nrz(-0.0808) q[5];\ncx q[0], q[5];\ncx q[5], q[2];\nrz(0.0606) q[2];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(0.0606) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(0.2222) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(0.0808) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(0.0404) q[4];\ncx q[1], q[4];\nrz(-0.0202) q[3];\nrz(0.0202) q[0];\nrz(-0.0202) q[5];\nrz(0.0202) q[2];\nrz(0.101) q[1];\nrz(-0.101) q[4];\nh q[0];\nrz(0.13) q[0];\nh q[0];\nh q[1];\nrz(0.13) q[1];\nh q[1];\nh q[2];\nrz(0.13) q[2];\nh q[2];\nh q[3];\nrz(0.13) q[3];\nh q[3];\nh q[4];\nrz(0.13) q[4];\nh q[4];\nh q[5];\nrz(0.13) q[5];\nh q[5];\ncx q[3], q[0];\nrz(0.0783) q[0];\ncx q[3], q[0];\ncx q[0], q[5];\nrz(-0.1044) q[5];\ncx q[0], q[5];\ncx q[5], q[2];\nrz(0.0783) q[2];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(0.0783) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(0.2871) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(0.1044) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(0.0522) q[4];\ncx q[1], q[4];\nrz(-0.0261) q[3];\nrz(0.0261) q[0];\nrz(-0.0261) q[5];\nrz(0.0261) q[2];\nrz(0.1305) q[1];\nrz(-0.1305) q[4];\nh q[0];\nrz(0.121) q[0];\nh q[0];\nh q[1];\nrz(0.121) q[1];\nh q[1];\nh q[2];\nrz(0.121) q[2];\nh q[2];\nh q[3];\nrz(0.121) q[3];\nh q[3];\nh q[4];\nrz(0.121) q[4];\nh q[4];\nh q[5];\nrz(0.121) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(x2) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x3) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x4) q[4];\ncx q[1], q[4];\nrz(x5) q[3];\nrz(x6) q[0];\nrz(x5) q[5];\nrz(x6) q[2];\nrz(x7) q[1];\nrz(x8) q[4];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\ncx q[3], q[0];\nrz(x10) q[0];\ncx q[3], q[0];\ncx q[0], q[5];\nrz(x11) q[5];\ncx q[0], q[5];\ncx q[5], q[2];\nrz(x10) q[2];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(x10) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(x12) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x13) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x14) q[4];\ncx q[1], q[4];\nrz(x15) q[3];\nrz(x16) q[0];\nrz(x15) q[5];\nrz(x16) q[2];\nrz(x17) q[1];\nrz(x18) q[4];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\ncx q[3], q[0];\nrz(x20) q[0];\ncx q[3], q[0];\ncx q[0], q[5];\nrz(x21) q[5];\ncx q[0], q[5];\ncx q[5], q[2];\nrz(x20) q[2];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(x20) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(x22) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x23) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x24) q[4];\ncx q[1], q[4];\nrz(x25) q[3];\nrz(x26) q[0];\nrz(x25) q[5];\nrz(x26) q[2];\nrz(x27) q[1];\nrz(x28) q[4];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\ncx q[3], q[0];\nrz(x30) q[0];\ncx q[3], q[0];\ncx q[0], q[5];\nrz(x31) q[5];\ncx q[0], q[5];\ncx q[5], q[2];\nrz(x30) q[2];\ncx q[5], q[2];\ncx q[3], q[1];\nrz(x30) q[1];\ncx q[3], q[1];\ncx q[3], q[4];\nrz(x32) q[4];\ncx q[3], q[4];\ncx q[2], q[4];\nrz(x33) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x34) q[4];\ncx q[1], q[4];\nrz(x35) q[3];\nrz(x36) q[0];\nrz(x35) q[5];\nrz(x36) q[2];\nrz(x37) q[1];\nrz(x38) q[4];\nh q[0];\nrz(x39) q[0];\nh q[0];\nh q[1];\nrz(x39) q[1];\nh q[1];\nh q[2];\nrz(x39) q[2];\nh q[2];\nh q[3];\nrz(x39) q[3];\nh q[3];\nh q[4];\nrz(x39) q[4];\nh q[4];\nh q[5];\nrz(x39) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["e4c65d82be0d39aa5a43dd21b25413c9","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [9, 52], \"expectation_value\": -0.27475307485566525, \"params\": [[-0.0397, -0.062], [0.0395, 0.0635]], \"bitstrings\": [\"110110\", \"001011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.018716909691293512, 0.019167467640642005], \"optimization_time\": 2.4062588214874268}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3)",1,6,2,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"001011\", \"101001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(-0.0397) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(-0.0397) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(-0.0397) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.0397) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(-0.0397) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(-0.0397) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(-0.0397) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(-0.0397) q[3];\ncx q[5], q[3];\nrz(0.1191) q[2];\nrz(0.0794) q[0];\nrz(0.0397) q[4];\nrz(0.0794) q[5];\nrz(0.0397) q[1];\nrz(0.0397) q[3];\nh q[0];\nrz(0.079) q[0];\nh q[0];\nh q[1];\nrz(0.079) q[1];\nh q[1];\nh q[2];\nrz(0.079) q[2];\nh q[2];\nh q[3];\nrz(0.079) q[3];\nh q[3];\nh q[4];\nrz(0.079) q[4];\nh q[4];\nh q[5];\nrz(0.079) q[5];\nh q[5];\ncx q[2], q[0];\nrz(-0.062) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(-0.062) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(-0.062) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(-0.062) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(-0.062) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(-0.062) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(-0.062) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(-0.062) q[3];\ncx q[5], q[3];\nrz(0.186) q[2];\nrz(0.124) q[0];\nrz(0.062) q[4];\nrz(0.124) q[5];\nrz(0.062) q[1];\nrz(0.062) q[3];\nh q[0];\nrz(0.127) q[0];\nh q[0];\nh q[1];\nrz(0.127) q[1];\nh q[1];\nh q[2];\nrz(0.127) q[2];\nh q[2];\nh q[3];\nrz(0.127) q[3];\nh q[3];\nh q[4];\nrz(0.127) q[4];\nh q[4];\nh q[5];\nrz(0.127) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x3) q[4];\nrz(x2) q[5];\nrz(x3) q[1];\nrz(x3) q[3];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x5) q[4];\ncx q[0], q[4];\ncx q[0], q[5];\nrz(x5) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x5) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x5) q[1];\ncx q[5], q[1];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x5) q[3];\ncx q[5], q[3];\nrz(x6) q[2];\nrz(x7) q[0];\nrz(x8) q[4];\nrz(x7) q[5];\nrz(x8) q[1];\nrz(x8) q[3];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["5151777812028997366","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[1, 4, 5, 7], [0, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 3, 6], [1, 2], [1, 6, 7, 8, 9], [0, 1, 3, 7, 8], [1, 3, 5], [1, 4, 9], [1, 5, 6]]}","{\"states\": [878, 366], \"expectation_value\": -2.431466703054196, \"params\": null, \"bitstrings\": [\"0010010001\", \"1010010001\"], \"total_optimization_steps\": 64, \"probabilities\": [0.09854642841729555, 0.7570662588477549], \"optimization_time\": 165.6586570739746}","0.25 * (Z(1) @ Z(4)) + 0.09722222222222221 * (Z(5) @ Z(4)) + 0.41666666666666663 * (Z(5) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(5)) + 0.013888888888888888 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.013888888888888888 * (Z(0) @ Z(5)) + 0.06388888888888888 * (Z(0) @ Z(7)) + 0.013888888888888888 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.013888888888888888 * (Z(2) @ Z(5)) + 0.013888888888888888 * (Z(2) @ Z(7)) + 0.013888888888888888 * (Z(2) @ Z(0)) + 0.013888888888888888 * (Z(3) @ Z(4)) + 0.3 * (Z(3) @ Z(1)) + 0.18055555555555555 * (Z(3) @ Z(5)) + 0.06388888888888888 * (Z(3) @ Z(7)) + 0.1472222222222222 * (Z(3) @ Z(0)) + 0.013888888888888888 * (Z(3) @ Z(2)) + 0.013888888888888888 * (Z(6) @ Z(4)) + 0.3 * (Z(6) @ Z(1)) + 0.18055555555555555 * (Z(6) @ Z(5)) + 0.06388888888888888 * (Z(6) @ Z(7)) + 0.09722222222222221 * (Z(6) @ Z(0)) + 0.013888888888888888 * (Z(6) @ Z(2)) + 0.09722222222222221 * (Z(6) @ Z(3)) + 0.013888888888888888 * (Z(8) @ Z(4)) + 0.1 * (Z(8) @ Z(1)) + 0.013888888888888888 * (Z(8) @ Z(5)) + 0.11388888888888889 * (Z(8) @ Z(7)) + 0.06388888888888888 * (Z(8) @ Z(0)) + 0.013888888888888888 * (Z(8) @ Z(2)) + 0.06388888888888888 * (Z(8) @ Z(3)) + 0.06388888888888888 * (Z(8) @ Z(6)) + 0.18055555555555555 * (Z(9) @ Z(4)) + 0.21666666666666667 * (Z(9) @ Z(1)) + 0.013888888888888888 * (Z(9) @ Z(5)) + 0.06388888888888888 * (Z(9) @ Z(7)) + 0.013888888888888888 * (Z(9) @ Z(0)) + 0.013888888888888888 * (Z(9) @ Z(2)) + 0.013888888888888888 * (Z(9) @ Z(3)) + 0.06388888888888888 * (Z(9) @ Z(6)) + 0.06388888888888888 * (Z(9) @ Z(8)) + 0.3472222222222222 * Z(4) + 0.9500000000000002 * Z(1) + 0.5138888888888888 * Z(5) + 0.38055555555555554 * Z(7) + 0.28055555555555545 * Z(0) + 0.055555555555555136 * Z(2) + 0.4472222222222221 * Z(3) + 0.4472222222222222 * Z(6) + 0.25555555555555554 * Z(8) + 0.3222222222222222 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-2.511111111111112], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.51111111111111, \"smallest_bitstrings\": [\"1010010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5665) q[1];\ncry(-1.3928) q[1], q[2];\nry(0.9161) q[7];\ncry(0.4315) q[1], q[7];\nry(0.4766) q[0];\ncry(-0.4164) q[6], q[5];\ncry(0.3962) q[1], q[0];\nry(-0.1654) q[2];\ncry(-0.3611) q[3], q[5];\nry(0.4114) q[6];\ncry(-0.3771) q[4], q[9];\ncry(0.3367) q[1], q[6];\ncry(-0.3307) q[7], q[5];\nry(0.4097) q[4];\ncry(0.3289) q[7], q[6];\ncry(-0.3681) q[1], q[5];\ncry(0.36) q[1], q[4];\ncry(-0.5012) q[7], q[9];\ncry(0.4055) q[7], q[4];\ncry(-0.4413) q[1], q[9];\ncry(0.2838) q[4], q[6];\ncry(-0.2355) q[4], q[5];\ncry(0.237) q[6], q[4];\ncry(-0.2472) q[6], q[9];\nry(0.3167) q[3];\ncry(0.2768) q[1], q[3];\ncry(-0.371) q[3], q[0];\ncry(-0.3355) q[6], q[0];\ncry(0.3749) q[6], q[3];\ncry(-0.5003) q[7], q[0];\ncry(-0.4164) q[4], q[0];\ncry(0.3741) q[7], q[3];\nry(-0.1928) q[5];\ncry(-0.3067) q[8], q[0];\ncry(0.155) q[3], q[6];\ncry(0.1302) q[4], q[3];\ncry(0.2016) q[4], q[8];\nry(0.1875) q[8];\ncry(0.1685) q[1], q[8];\nry(-0.1105) q[9];\ncry(0.1094) q[3], q[4];\ncry(0.1427) q[6], q[8];\ncry(0.123) q[3], q[8];\ncry(0.1021) q[7], q[8];\ncry(-0.0426) q[8], q[5];\ncry(0.0757) q[6], q[7];\ncry(-0.0532) q[3], q[9];\ncry(0.0459) q[3], q[7];\ncry(0.0327) q[8], q[6];\ncry(0.027) q[8], q[4];\ncry(-0.0117) q[7], q[2];\ncry(-0.0387) q[0], q[8];\ncry(-0.0206) q[8], q[9];\ncry(0.0273) q[4], q[7];\ncry(0.0198) q[8], q[3];\ncry(0.0204) q[0], q[4];\ncry(-0.0186) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,null,{"$cut":{"chars":73481,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(1.5665) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(1.5665) q[1];\\ncry(-1.3928) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(1.5665) q[1];\\ncry(-1.3928) q[1], q[2];\\nry(0.9161) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(1.5665) q[1];\\ncry(-1.3928) q[1], q[2];\\nry(0.9161) q[7];\\ncry(0.4315) q[1], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(1.5665) q[1];\\ncry(-1.3928) q[1], q[2];\\nry(0.9161) q[7];\\ncry(0.4315) q[1], q[7];\\nry(0.4766) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(1.5665) q[1];\\ncry(-1.3928) q[1], q[2];\\nry(0.9161) q[7];\\ncry(0.4315) q[1], q[7];\\nry(0.4766) q[0];\\ncry(-0.4164) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(1.5665) q[1];\\ncry(-1.3928) q[1], q[2];\\nry(0.9161) q[7];\\ncry(0.4315) q[1], q[7];\\nry(0.4766) q[0];\\ncry(-0.4164) q[6], q[5];\\ncry(0.3962) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(1.5665) q[1];\\ncry(-1.3928) q[1], q[2];\\nry(0.9161) q[7];\\ncry(0.4315) q[1], q[7];\\nry(0.4766) q[0];\\ncry(-0.4164) q[6], q[5];\\ncry(0.3962) q[1], q[0];\\nry(-0.1654) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[10] c;\\nqubit[10] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nry(1.5665) q[1];\\ncry(-1.3928) q[1], q[2];\\nry(0.9161) q[7];\\ncry(0.4315) q[1], q[7];\\nry"}}]
["a0d9e7890df5adf810df05a9e670aeef","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 2}, {\"weight\": 13, \"source\": 0, \"target\": 5}, {\"weight\": 19, \"source\": 1, \"target\": 3}, {\"weight\": 20, \"source\": 1, \"target\": 5}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 3, \"target\": 4}, {\"weight\": 7, \"source\": 4, \"target\": 5}]}","{\"states\": [250, 122], \"expectation_value\": -58.848126069756006, \"params\": [0.743, -0.4262, 1.582, -0.0007, 1.5803, 0.003, 1.5863, -0.0013000000000000002, 1.5802, -0.19820000000000002, 0.5451, -0.5256000000000001, 1.591, -0.23140000000000002, 0.6898000000000001, -0.4707, 0.7385, 0.0044, 1.5853000000000002, 0.0036000000000000003, 1.5819, 0.006900000000000001, 1.5856000000000001, 0.0092, 1.5791000000000002, 0.0057, 0.5472, 0.0051, 1.5584, 0.0092, 0.6902, 0.0028, 0.4466, -0.1779, -0.0034000000000000002, -0.0013000000000000002, 0.0035, -0.4706, -0.5073, -0.4587, 0.0037, 0.0015, 0.0057, 0.007, 0.0029000000000000002, 0.0043, 0.0076, 0.004], \"bitstrings\": [\"00000101\", \"10000101\"], \"total_optimization_steps\": 160, \"probabilities\": [0.21519125764056152, 0.3022645206581728], \"optimization_time\": 29.703017234802246}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + 10.5 * Z(0) + 14.5 * Z(2) + 17.5 * Z(3) + 18.0 * Z(4) + 6.0 * Z(5) + 9.5 * Z(6) + 7.5 * Z(7)",18,8,2,"{\"smallest_eigenvalues\": [-69.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -60.5, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.743) q[0];\nrz(-0.4262) q[0];\nrx(1.582) q[1];\nrz(-0.0007) q[1];\nrx(1.5803) q[2];\nrz(0.003) q[2];\nrx(1.5863) q[3];\nrz(-0.0013) q[3];\nrx(1.5802) q[4];\nrz(-0.1982) q[4];\nrx(0.5451) q[5];\nrz(-0.5256) q[5];\nrx(1.591) q[6];\nrz(-0.2314) q[6];\nrx(0.6898) q[7];\nrz(-0.4707) q[7];\ncrz(0.4466) q[7], q[0];\ncrz(-0.4587) q[6], q[7];\ncrz(-0.5073) q[5], q[6];\ncrz(-0.4706) q[4], q[5];\ncrz(0.0035) q[3], q[4];\ncrz(-0.0013) q[2], q[3];\ncrz(-0.0034) q[1], q[2];\ncrz(-0.1779) q[0], q[1];\nrx(0.7385) q[0];\nrz(0.0044) q[0];\nrx(1.5853) q[1];\nrz(0.0036) q[1];\nrx(1.5819) q[2];\nrz(0.0069) q[2];\nrx(1.5856) q[3];\nrz(0.0092) q[3];\nrx(1.5791) q[4];\nrz(0.0057) q[4];\nrx(0.5472) q[5];\nrz(0.0051) q[5];\nrx(1.5584) q[6];\nrz(0.0092) q[6];\nrx(0.6902) q[7];\nrz(0.0028) q[7];\ncrz(0.0037) q[7], q[0];\ncrz(0.004) q[6], q[7];\ncrz(0.0076) q[5], q[6];\ncrz(0.0043) q[4], q[5];\ncrz(0.0029) q[3], q[4];\ncrz(0.007) q[2], q[3];\ncrz(0.0057) q[1], q[2];\ncrz(0.0015) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[0];\ncrz(x17) q[6], q[7];\ncrz(x18) q[5], q[6];\ncrz(x19) q[4], q[5];\ncrz(x20) q[3], q[4];\ncrz(x7) q[2], q[3];\ncrz(x21) q[1], q[2];\ncrz(x22) q[0], q[1];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x30) q[6];\nrx(x36) q[7];\nrz(x37) q[7];\ncrz(x38) q[7], q[0];\ncrz(x39) q[6], q[7];\ncrz(x40) q[5], q[6];\ncrz(x41) q[4], q[5];\ncrz(x42) q[3], q[4];\ncrz(x43) q[2], q[3];\ncrz(x32) q[1], q[2];\ncrz(x44) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["-7216443839465865534","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4], \"hyperedges\": [[2, 3, 4], [0, 1, 3], [1, 4]]}","{\"states\": [26, 19], \"expectation_value\": -1.1051451319498486, \"params\": null, \"bitstrings\": [\"00101\", \"01100\"], \"total_optimization_steps\": 24, \"probabilities\": [0.040835169898916744, 0.9011666898084865], \"optimization_time\": 17.69780468940735}","0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(4) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(1)",1,5,1,"{\"smallest_eigenvalues\": [-1.1666666666666665, -1.1666666666666665], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -0.8333333333333333, \"smallest_bitstrings\": [\"10001\", \"01100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.2292) q[3];\ncry(-1.0207) q[4], q[1];\nry(0.7148) q[4];\ncry(-0.4724) q[3], q[1];\ncry(0.4897) q[3], q[4];\nry(-0.3667) q[1];\ncry(0.722) q[4], q[0];\ncry(-0.6678) q[4], q[2];\nry(0.4302) q[0];\ncry(0.2062) q[0], q[4];\ncry(-0.421) q[3], q[2];\ncry(-0.1539) q[0], q[1];\ncry(0.2369) q[4], q[3];\ncry(-0.23) q[0], q[2];\ncry(0.1944) q[3], q[0];\nry(-0.1063) q[2];\ncry(0.0719) q[0], q[3];\ncry(0.0485) q[1], q[2];\ncry(-0.0435) q[1], q[0];\ncry(0.0386) q[1], q[3];\ncry(0.0318) q[2], q[1];\ncry(-0.0198) q[1], q[4];\ncry(0.0139) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nry(-0.1063) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nry(-0.1063) q[2];\\ncry(0.0719) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nry(-0.1063) q[2];\\ncry(0.0719) q[0], q[3];\\ncry(0.0485) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nry(-0.1063) q[2];\\ncry(0.0719) q[0], q[3];\\ncry(0.0485) q[1], q[2];\\ncry(-0.0435) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nry(-0.1063) q[2];\\ncry(0.0719) q[0], q[3];\\ncry(0.0485) q[1], q[2];\\ncry(-0.0435) q[1], q[0];\\ncry(0.0386) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nry(-0.1063) q[2];\\ncry(0.0719) q[0], q[3];\\ncry(0.0485) q[1], q[2];\\ncry(-0.0435) q[1], q[0];\\ncry(0.0386) q[1], q[3];\\ncry(0.0318) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nry(-0.1063) q[2];\\ncry(0.0719) q[0], q[3];\\ncry(0.0485) q[1], q[2];\\ncry(-0.0435) q[1], q[0];\\ncry(0.0386) q[1], q[3];\\ncry(0.0318) q[2], q[1];\\ncry(-0.0198) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nry(-0.1063) q[2];\\ncry(0.0719) q[0], q[3];\\ncry(0.0485) q[1], q[2];\\ncry(-0.0435) q[1], q[0];\\ncry(0.0386) q[1], q[3];\\ncry(0.0318) q[2], q[1];\\ncry(-0.0198) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(1.2292) q[3];\\ncry(-1.0207) q[4], q[1];\\nry(0.7148) q[4];\\ncry(-0.4724) q[3], q[1];\\ncry(0.4897) q[3], q[4];\\nry(-0.3667) q[1];\\ncry(0.722) q[4], q[0];\\ncry(-0.6678) q[4], q[2];\\nry(0.4302) q[0];\\ncry(0.2062) q[0], q[4];\\ncry(-0.421) q[3], q[2];\\ncry(-0.1539) q[0], q[1];\\ncry(0.2369) q[4], q[3];\\ncry(-0.23) q[0], q[2];\\ncry(0.1944) q[3], q[0];\\nry(-0.1063) q[2];\\ncry(0.0719) q[0], q[3];\\ncry(0.0485) q[1], q[2];\\ncry(-0.0435) q[1], q[0];\\ncry(0.0386) q[1], q[3];\\ncry(0.0318) q[2], q[1];\\ncry(-0.0198) q[1], q[4];\\ncry(0.0139) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.3317, 0.2465, 0.2502, 0.1927, 0.2172, 0.1809, 0.1566, 0.1432, 0.1113, 0.1168, 0.1066, 0.0946, 0.0869, 0.0614, 0.0524, 0.0291, 0.0273, 0.0096, 0.0086, 0.0081, 0.0065, 0.0042, 0.0033, 0.0028]}"]
["6343341889656689631","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 2], [3, 5, 7], [2, 3, 6], [8, 1], [2, 5, 6], [4, 6, 7], [2, 4, 7], [0, 4], [1, 4, 6], [8, 2, 3], [1, 5, 7], [0, 8], [0, 7]]}","{\"states\": [127, 95], \"expectation_value\": -0.5899028550530023, \"params\": [0.7737, -0.0029000000000000002, 0.6211, 0.007500000000000001, 0.8046000000000001, 0.0014, 0.7987000000000001, 0.005200000000000001, 0.7967000000000001, 0.0017000000000000001, 0.8043, 0.0076, 0.7938000000000001, 0.0043, 0.7916000000000001, 0.0053, 0.7977000000000001, 0.0009000000000000001, 0.8009000000000001, 0.0006000000000000001, 0.8041, 0.0008, 0.8032, 0.0012000000000000001, 0.8049000000000001, 0.001, 0.8036000000000001, 0.008, 0.7986000000000001, 0.0009000000000000001, 0.7964, 0.0046, 0.8018000000000001, 0.003, 0.7979, 0.0012000000000000001, -0.2559, -0.046700000000000005, 0.3733, -0.0296, 0.1529, -0.0224, 0.7826000000000001, 0.5663, 0.0444], \"bitstrings\": [\"110000000\", \"110100000\"], \"total_optimization_steps\": 80, \"probabilities\": [0.022049234368918827, 0.02354402572149589], \"optimization_time\": 18.96578621864319}","0.5 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.6666666666666667 * Z(2) + 0.0 * Z(0) + 0.4999999999999999 * Z(3) + 0.4999999999999999 * Z(5) + 0.6666666666666667 * Z(7) + 0.6666666666666666 * Z(6) + 0.16666666666666674 * Z(8) + 0.3333333333333335 * Z(1) + 0.5000000000000001 * Z(4)",6,9,1,"{\"smallest_eigenvalues\": [-4.166666666666668], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.166666666666667, \"smallest_bitstrings\": [\"110100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.7737) q[0];\nrz(-0.0029) q[0];\nrx(0.8046) q[1];\nrz(0.0014) q[1];\nrx(0.7967) q[2];\nrz(0.0017) q[2];\nrx(0.7938) q[3];\nrz(0.0043) q[3];\nrx(0.7977) q[4];\nrz(0.0009) q[4];\nrx(0.8041) q[5];\nrz(0.0008) q[5];\nrx(0.8049) q[6];\nrz(0.001) q[6];\nrx(0.7986) q[7];\nrz(0.0009) q[7];\nrx(0.8018) q[8];\nrz(0.003) q[8];\ncrx(0.5663) q[8], q[7];\ncrx(0.7826) q[8], q[6];\ncrx(-0.0224) q[8], q[5];\ncrx(0.1529) q[8], q[4];\ncrx(-0.0296) q[8], q[3];\ncrx(0.3733) q[8], q[2];\ncrx(-0.0467) q[8], q[1];\ncrx(-0.2559) q[8], q[0];\ncrx(0.0444) q[7], q[8];\ncrx(0.7826) q[7], q[6];\ncrx(-0.0224) q[7], q[5];\ncrx(0.1529) q[7], q[4];\ncrx(-0.0296) q[7], q[3];\ncrx(0.3733) q[7], q[2];\ncrx(-0.0467) q[7], q[1];\ncrx(-0.2559) q[7], q[0];\ncrx(0.0444) q[6], q[8];\ncrx(0.5663) q[6], q[7];\ncrx(-0.0224) q[6], q[5];\ncrx(0.1529) q[6], q[4];\ncrx(-0.0296) q[6], q[3];\ncrx(0.3733) q[6], q[2];\ncrx(-0.0467) q[6], q[1];\ncrx(-0.2559) q[6], q[0];\ncrx(0.0444) q[5], q[8];\ncrx(0.5663) q[5], q[7];\ncrx(0.7826) q[5], q[6];\ncrx(0.1529) q[5], q[4];\ncrx(-0.0296) q[5], q[3];\ncrx(0.3733) q[5], q[2];\ncrx(-0.0467) q[5], q[1];\ncrx(-0.2559) q[5], q[0];\ncrx(0.0444) q[4], q[8];\ncrx(0.5663) q[4], q[7];\ncrx(0.7826) q[4], q[6];\ncrx(-0.0224) q[4], q[5];\ncrx(-0.0296) q[4], q[3];\ncrx(0.3733) q[4], q[2];\ncrx(-0.0467) q[4], q[1];\ncrx(-0.2559) q[4], q[0];\ncrx(0.0444) q[3], q[8];\ncrx(0.5663) q[3], q[7];\ncrx(0.7826) q[3], q[6];\ncrx(-0.0224) q[3], q[5];\ncrx(0.1529) q[3], q[4];\ncrx(0.3733) q[3], q[2];\ncrx(-0.0467) q[3], q[1];\ncrx(-0.2559) q[3], q[0];\ncrx(0.0444) q[2], q[8];\ncrx(0.5663) q[2], q[7];\ncrx(0.7826) q[2], q[6];\ncrx(-0.0224) q[2], q[5];\ncrx(0.1529) q[2], q[4];\ncrx(-0.0296) q[2], q[3];\ncrx(-0.0467) q[2], q[1];\ncrx(-0.2559) q[2], q[0];\ncrx(0.0444) q[1], q[8];\ncrx(0.5663) q[1], q[7];\ncrx(0.7826) q[1], q[6];\ncrx(-0.0224) q[1], q[5];\ncrx(0.1529) q[1], q[4];\ncrx(-0.0296) q[1], q[3];\ncrx(0.3733) q[1], q[2];\ncrx(-0.2559) q[1], q[0];\ncrx(0.0444) q[0], q[8];\ncrx(0.5663) q[0], q[7];\ncrx(0.7826) q[0], q[6];\ncrx(-0.0224) q[0], q[5];\ncrx(0.1529) q[0], q[4];\ncrx(-0.0296) q[0], q[3];\ncrx(0.3733) q[0], q[2];\ncrx(-0.0467) q[0], q[1];\nrx(0.6211) q[0];\nrz(0.0075) q[0];\nrx(0.7987) q[1];\nrz(0.0052) q[1];\nrx(0.8043) q[2];\nrz(0.0076) q[2];\nrx(0.7916) q[3];\nrz(0.0053) q[3];\nrx(0.8009) q[4];\nrz(0.0006) q[4];\nrx(0.8032) q[5];\nrz(0.0012) q[5];\nrx(0.8036) q[6];\nrz(0.008) q[6];\nrx(0.7964) q[7];\nrz(0.0046) q[7];\nrx(0.7979) q[8];\nrz(0.0012) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x9) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\ncrx(x17) q[8], q[7];\ncrx(x18) q[8], q[6];\ncrx(x19) q[8], q[5];\ncrx(x20) q[8], q[4];\ncrx(x21) q[8], q[3];\ncrx(x22) q[8], q[2];\ncrx(x23) q[8], q[1];\ncrx(x24) q[8], q[0];\ncrx(x25) q[7], q[8];\ncrx(x18) q[7], q[6];\ncrx(x19) q[7], q[5];\ncrx(x20) q[7], q[4];\ncrx(x21) q[7], q[3];\ncrx(x22) q[7], q[2];\ncrx(x23) q[7], q[1];\ncrx(x24) q[7], q[0];\ncrx(x25) q[6], q[8];\ncrx(x17) q[6], q[7];\ncrx(x19) q[6], q[5];\ncrx(x20) q[6], q[4];\ncrx(x21) q[6], q[3];\ncrx(x22) q[6], q[2];\ncrx(x23) q[6], q[1];\ncrx(x24) q[6], q[0];\ncrx(x25) q[5], q[8];\ncrx(x17) q[5], q[7];\ncrx(x18) q[5], q[6];\ncrx(x20) q[5], q[4];\ncrx(x21) q[5], q[3];\ncrx(x22) q[5], q[2];\ncrx(x23) q[5], q[1];\ncrx(x24) q[5], q[0];\ncrx(x25) q[4], q[8];\ncrx(x17) q[4], q[7];\ncrx(x18) q[4], q[6];\ncrx(x19) q[4], q[5];\ncrx(x21) q[4], q[3];\ncrx(x22) q[4], q[2];\ncrx(x23) q[4], q[1];\ncrx(x24) q[4], q[0];\ncrx(x25) q[3], q[8];\ncrx(x17) q[3], q[7];\ncrx(x18) q[3], q[6];\ncrx(x19) q[3], q[5];\ncrx(x20) q[3], q[4];\ncrx(x22) q[3], q[2];\ncrx(x23) q[3], q[1];\ncrx(x24) q[3], q[0];\ncrx(x25) q[2], q[8];\ncrx(x17) q[2], q[7];\ncrx(x18) q[2], q[6];\ncrx(x19) q[2], q[5];\ncrx(x20) q[2], q[4];\ncrx(x21) q[2], q[3];\ncrx(x23) q[2], q[1];\ncrx(x24) q[2], q[0];\ncrx(x25) q[1], q[8];\ncrx(x17) q[1], q[7];\ncrx(x18) q[1], q[6];\ncrx(x19) q[1], q[5];\ncrx(x20) q[1], q[4];\ncrx(x21) q[1], q[3];\ncrx(x22) q[1], q[2];\ncrx(x24) q[1], q[0];\ncrx(x25) q[0], q[8];\ncrx(x17) q[0], q[7];\ncrx(x18) q[0], q[6];\ncrx(x19) q[0], q[5];\ncrx(x20) q[0], q[4];\ncrx(x21) q[0], q[3];\ncrx(x22) q[0], q[2];\ncrx(x23) q[0], q[1];\nrx(x26) q[0];\nrz(x27) q[0];\nrx(x28) q[1];\nrz(x29) q[1];\nrx(x30) q[2];\nrz(x31) q[2];\nrx(x32) q[3];\nrz(x33) q[3];\nrx(x34) q[4];\nrz(x35) q[4];\nrx(x36) q[5];\nrz(x37) q[5];\nrx(x38) q[6];\nrz(x39) q[6];\nrx(x40) q[7];\nrz(x41) q[7];\nrx(x42) q[8];\nrz(x37) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["-4839871883442326925","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[2, 3, 5, 6, 7, 8, 9], [2, 3, 4, 5, 6, 7, 9], [1, 7], [0, 9, 2, 8], [1, 4], [0, 9, 5], [0, 1, 3, 5, 8], [2, 4, 5, 6, 7, 8, 9], [0, 8, 7], [0, 9, 3]]}","{\"states\": [758, 119], \"expectation_value\": -2.7547042045905967, \"params\": [[[1.5729, 1.5686], [1.5747, 1.5731000000000002], [-1.568, 1.5687], [0.0027, 1.5687], [0.0019, -0.0027], [0.0023, -0.0026000000000000003], [1.7555, 0.0013000000000000002], [0.0027, -0.0029000000000000002], [-0.9406, -2.1949], [1.5685, 1.5686]]], \"bitstrings\": [\"0100001001\", \"1110001000\"], \"total_optimization_steps\": 370, \"probabilities\": [0.2959122138891514, 0.2959127187213298], \"optimization_time\": 8.852629899978638}","0.047619047619047616 * (Z(2) @ Z(3)) + 0.09761904761904762 * (Z(5) @ Z(3)) + 0.07142857142857142 * (Z(5) @ Z(2)) + 0.047619047619047616 * (Z(6) @ Z(3)) + 0.07142857142857142 * (Z(6) @ Z(2)) + 0.07142857142857142 * (Z(6) @ Z(5)) + 0.047619047619047616 * (Z(7) @ Z(3)) + 0.07142857142857142 * (Z(7) @ Z(2)) + 0.07142857142857142 * (Z(7) @ Z(5)) + 0.07142857142857142 * (Z(7) @ Z(6)) + 0.07380952380952381 * (Z(8) @ Z(3)) + 0.13095238095238093 * (Z(8) @ Z(2)) + 0.09761904761904762 * (Z(8) @ Z(5)) + 0.047619047619047616 * (Z(8) @ Z(6)) + 0.21428571428571427 * (Z(8) @ Z(7)) + 0.21428571428571427 * (Z(9) @ Z(3)) + 0.15476190476190474 * (Z(9) @ Z(2)) + 0.23809523809523808 * (Z(9) @ Z(5)) + 0.07142857142857142 * (Z(9) @ Z(6)) + 0.07142857142857142 * (Z(9) @ Z(7)) + 0.13095238095238093 * (Z(9) @ Z(8)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.047619047619047616 * (Z(4) @ Z(2)) + 0.047619047619047616 * (Z(4) @ Z(5)) + 0.047619047619047616 * (Z(4) @ Z(6)) + 0.047619047619047616 * (Z(4) @ Z(7)) + 0.023809523809523808 * (Z(4) @ Z(8)) + 0.047619047619047616 * (Z(4) @ Z(9)) + 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.05 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.21666666666666667 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.21666666666666667 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.3 * (Z(0) @ Z(8)) + 0.41666666666666663 * (Z(0) @ Z(9)) + 0.05 * (Z(0) @ Z(1)) + 0.4095238095238096 * Z(3) + 0.3392857142857142 * Z(2) + 0.480952380952381 * Z(5) + 0.21428571428571427 * Z(6) + 0.38095238095238104 * Z(7) + 0.5345238095238095 * Z(8) + 0.6726190476190473 * Z(9) + 0.1428571428571429 * Z(4) + 0.09999999999999987 * Z(1) + 0.7250000000000001 * Z(0)",15,10,1,"{\"smallest_eigenvalues\": [-2.938095238095238], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.8904761904761904, \"smallest_bitstrings\": [\"1110001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(1.5729) q[0];\nry(1.5747) q[1];\nry(-1.568) q[2];\nry(0.0027) q[3];\nry(0.0019) q[4];\nry(0.0023) q[5];\nry(1.7555) q[6];\nry(0.0027) q[7];\nry(-0.9406) q[8];\nry(1.5685) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.5686) q[0];\nry(1.5731) q[1];\nry(1.5687) q[2];\nry(1.5687) q[3];\nry(-0.0027) q[4];\nry(-0.0026) q[5];\nry(0.0013) q[6];\nry(-0.0029) q[7];\nry(-2.1949) q[8];\nry(1.5686) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x3) q[7];\nry(x7) q[8];\nry(x8) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x11) q[3];\nry(x12) q[4];\nry(x13) q[5];\nry(x14) q[6];\nry(x15) q[7];\nry(x16) q[8];\nry(x9) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["31bcee1b066a63f64c6901bb1e1b69cb","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [5, 28], \"expectation_value\": -3.002348121085071, \"params\": null, \"bitstrings\": [\"111010\", \"100011\"], \"total_optimization_steps\": 30, \"probabilities\": [0.05888063726826326, 0.8445431773055133], \"optimization_time\": 22.306249856948853}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5)",1,6,2,"{\"smallest_eigenvalues\": [-3.25, -3.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"100011\", \"011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nry(-1.4449) q[0];\ncry(-1.3016) q[1], q[5];\nry(1.2945) q[3];\nry(0.7777) q[1];\nry(-0.6314) q[5];\ncry(1.319) q[1], q[2];\ncry(0.4657) q[3], q[1];\ncry(-0.1364) q[2], q[5];\ncry(-0.1259) q[2], q[0];\ncry(0.2389) q[1], q[3];\nry(0.2235) q[2];\ncry(-0.2645) q[5], q[2];\ncry(0.107) q[2], q[1];\ncry(0.0147) q[3], q[5];\ncry(-0.0732) q[5], q[1];\ncry(-0.0027) q[3], q[4];\ncry(-0.0031) q[1], q[0];\ncry(0.0136) q[2], q[3];\ncry(0.0047) q[3], q[0];\ncry(0.0182) q[5], q[0];\ncry(-0.0063) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":17333,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\ncry(0.4657) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\ncry(0.4657) q[3], q[1];\\ncry(-0.1364) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\ncry(0.4657) q[3], q[1];\\ncry(-0.1364) q[2], q[5];\\ncry(-0.1259) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5681) q[4];\\nry(-1.4449) q[0];\\ncry(-1.3016) q[1], q[5];\\nry(1.2945) q[3];\\nry(0.7777) q[1];\\nry(-0.6314) q[5];\\ncry(1.319) q[1], q[2];\\ncry(0.4657) q[3], q[1];\\ncry(-0.1364) q[2], q[5];\\ncry(-0.1259) q[2], q[0];\\ncry(0.2389) q[1], q[3];\\nc[0] = me"}}]
["95b1142ae8d79cc944e68dc71d440182","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 7, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 6, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 5, \"source\": 4, \"target\": 3}]}","{\"states\": [9, 15], \"expectation_value\": -6.370397575480722, \"params\": null, \"bitstrings\": [\"110110\", \"110000\"], \"total_optimization_steps\": 34, \"probabilities\": [0.07917139809195542, 0.8343795242741813], \"optimization_time\": 23.232301712036133}","-0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4)",1,6,2,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"111110\", \"110000\", \"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[3], q[4];\nry(0.9957) q[3];\nry(0.4568) q[4];\ncry(0.438) q[4], q[3];\ncry(1.5162) q[4], q[2];\ncry(1.5651) q[2], q[5];\ncry(-1.5289) q[5], q[0];\nry(-1.3533) q[1];\ncry(0.0085) q[5], q[4];\ncry(0.0269) q[2], q[4];\ncry(-0.1764) q[5], q[1];\ncry(0.0386) q[3], q[2];\nry(-0.0445) q[2];\ncry(-0.0237) q[5], q[3];\nry(-0.0397) q[0];\nry(0.0185) q[5];\ncry(-0.0143) q[4], q[5];\ncry(0.0174) q[2], q[3];\ncry(-0.0478) q[0], q[1];\ncry(-0.041) q[0], q[3];\ncry(-0.0267) q[2], q[1];\ncry(-0.0027) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":20564,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nry(0.4568) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nry(0.4568) q[4];\\ncry(0.438) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nry(0.4568) q[4];\\ncry(0.438) q[4], q[3];\\ncry(1.5162) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nry(0.4568) q[4];\\ncry(0.438) q[4], q[3];\\ncry(1.5162) q[4], q[2];\\ncry(1.5651) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nry(0.4568) q[4];\\ncry(0.438) q[4], q[3];\\ncry(1.5162) q[4], q[2];\\ncry(1.5651) q[2], q[5];\\ncry(-1.5289) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nry(0.4568) q[4];\\ncry(0.438) q[4], q[3];\\ncry(1.5162) q[4], q[2];\\ncry(1.5651) q[2], q[5];\\ncry(-1.5289) q[5], q[0];\\nry(-1.3533) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nry(0.4568) q[4];\\ncry(0.438) q[4], q[3];\\ncry(1.5162) q[4], q[2];\\ncry(1.5651) q[2], q[5];\\ncry(-1.5289) q[5], q[0];\\nry(-1.3533) q[1];\\ncry(0.0085) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nry(0.4568) q[4];\\ncry(0.438) q[4], q[3];\\ncry(1.5162) q[4], q[2];\\ncry(1.5651) q[2], q[5];\\ncry(-1.5289) q[5], q[0];\\nry(-1.3533) q[1];\\ncry(0.0085) q[5], q[4];\\ncry(0.0269) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[3], q[4];\\nry(0.9957) q[3];\\nry(0.4568) q[4];\\ncry(0.438) q[4], q[3];\\ncry(1.5162) q[4], q[2];\\ncry(1.5651) q[2], q[5];\\ncry(-1.5289) q[5], q[0];\\nry(-1"}}]
["cd168b9dfe6f067036c4fe2db7911cf9","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 7, \"target\": 8}]}","{\"states\": [0, 252], \"expectation_value\": -5.827635915726708, \"params\": [0.7569, 0.0635, -0.5449, 0.0007, 0.81, 0.42610000000000003, -0.6561, 0.0056, 0.8546, 0.6091, 0.2232, 0.002, 0.8611000000000001, 0.7539, 0.2534, 0.0078000000000000005, 0.8917, 0.8087000000000001, 0.15410000000000001, 0.009000000000000001, 0.8768, 0.8684000000000001, -0.0609, 0.0099, -0.0032, 0.129, -0.0032, 0.0038, -0.0033, 0.061200000000000004, -0.0032, 0.0068000000000000005, 1.3834, 1.2836, 0.6572, 0.6416000000000001, 0.6545000000000001, 0.7479, -0.0033, -0.0034000000000000002], \"bitstrings\": [\"11111111\", \"00000011\"], \"total_optimization_steps\": 180, \"probabilities\": [0.29747351521939575, 0.3185171877247874], \"optimization_time\": 14.737538576126099}","-1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + -1.0 * Z(7) + -1.0 * Z(6)",6,8,1,"{\"smallest_eigenvalues\": [-9.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.5, \"smallest_bitstrings\": [\"00000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.7569) q[0];\nrz(0.0635) q[0];\nrx(0.81) q[1];\nrz(0.4261) q[1];\nrx(0.8546) q[2];\nrz(0.6091) q[2];\nrx(0.8611) q[3];\nrz(0.7539) q[3];\nrx(0.8917) q[4];\nrz(0.8087) q[4];\nrx(0.8768) q[5];\nrz(0.8684) q[5];\nrx(-0.0032) q[6];\nrz(0.129) q[6];\nrx(-0.0033) q[7];\nrz(0.0612) q[7];\ncrx(-0.0033) q[7], q[6];\ncrx(0.7479) q[7], q[5];\ncrx(0.6545) q[7], q[4];\ncrx(0.6416) q[7], q[3];\ncrx(0.6572) q[7], q[2];\ncrx(1.2836) q[7], q[1];\ncrx(1.3834) q[7], q[0];\ncrx(-0.0034) q[6], q[7];\ncrx(0.7479) q[6], q[5];\ncrx(0.6545) q[6], q[4];\ncrx(0.6416) q[6], q[3];\ncrx(0.6572) q[6], q[2];\ncrx(1.2836) q[6], q[1];\ncrx(1.3834) q[6], q[0];\ncrx(-0.0034) q[5], q[7];\ncrx(-0.0033) q[5], q[6];\ncrx(0.6545) q[5], q[4];\ncrx(0.6416) q[5], q[3];\ncrx(0.6572) q[5], q[2];\ncrx(1.2836) q[5], q[1];\ncrx(1.3834) q[5], q[0];\ncrx(-0.0034) q[4], q[7];\ncrx(-0.0033) q[4], q[6];\ncrx(0.7479) q[4], q[5];\ncrx(0.6416) q[4], q[3];\ncrx(0.6572) q[4], q[2];\ncrx(1.2836) q[4], q[1];\ncrx(1.3834) q[4], q[0];\ncrx(-0.0034) q[3], q[7];\ncrx(-0.0033) q[3], q[6];\ncrx(0.7479) q[3], q[5];\ncrx(0.6545) q[3], q[4];\ncrx(0.6572) q[3], q[2];\ncrx(1.2836) q[3], q[1];\ncrx(1.3834) q[3], q[0];\ncrx(-0.0034) q[2], q[7];\ncrx(-0.0033) q[2], q[6];\ncrx(0.7479) q[2], q[5];\ncrx(0.6545) q[2], q[4];\ncrx(0.6416) q[2], q[3];\ncrx(1.2836) q[2], q[1];\ncrx(1.3834) q[2], q[0];\ncrx(-0.0034) q[1], q[7];\ncrx(-0.0033) q[1], q[6];\ncrx(0.7479) q[1], q[5];\ncrx(0.6545) q[1], q[4];\ncrx(0.6416) q[1], q[3];\ncrx(0.6572) q[1], q[2];\ncrx(1.3834) q[1], q[0];\ncrx(-0.0034) q[0], q[7];\ncrx(-0.0033) q[0], q[6];\ncrx(0.7479) q[0], q[5];\ncrx(0.6545) q[0], q[4];\ncrx(0.6416) q[0], q[3];\ncrx(0.6572) q[0], q[2];\ncrx(1.2836) q[0], q[1];\nrx(-0.5449) q[0];\nrz(0.0007) q[0];\nrx(-0.6561) q[1];\nrz(0.0056) q[1];\nrx(0.2232) q[2];\nrz(0.002) q[2];\nrx(0.2534) q[3];\nrz(0.0078) q[3];\nrx(0.1541) q[4];\nrz(0.009) q[4];\nrx(-0.0609) q[5];\nrz(0.0099) q[5];\nrx(-0.0032) q[6];\nrz(0.0038) q[6];\nrx(-0.0032) q[7];\nrz(0.0068) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrx(x14) q[7], q[6];\ncrx(x16) q[7], q[5];\ncrx(x17) q[7], q[4];\ncrx(x18) q[7], q[3];\ncrx(x19) q[7], q[2];\ncrx(x20) q[7], q[1];\ncrx(x21) q[7], q[0];\ncrx(x22) q[6], q[7];\ncrx(x16) q[6], q[5];\ncrx(x17) q[6], q[4];\ncrx(x18) q[6], q[3];\ncrx(x19) q[6], q[2];\ncrx(x20) q[6], q[1];\ncrx(x21) q[6], q[0];\ncrx(x22) q[5], q[7];\ncrx(x14) q[5], q[6];\ncrx(x17) q[5], q[4];\ncrx(x18) q[5], q[3];\ncrx(x19) q[5], q[2];\ncrx(x20) q[5], q[1];\ncrx(x21) q[5], q[0];\ncrx(x22) q[4], q[7];\ncrx(x14) q[4], q[6];\ncrx(x16) q[4], q[5];\ncrx(x18) q[4], q[3];\ncrx(x19) q[4], q[2];\ncrx(x20) q[4], q[1];\ncrx(x21) q[4], q[0];\ncrx(x22) q[3], q[7];\ncrx(x14) q[3], q[6];\ncrx(x16) q[3], q[5];\ncrx(x17) q[3], q[4];\ncrx(x19) q[3], q[2];\ncrx(x20) q[3], q[1];\ncrx(x21) q[3], q[0];\ncrx(x22) q[2], q[7];\ncrx(x14) q[2], q[6];\ncrx(x16) q[2], q[5];\ncrx(x17) q[2], q[4];\ncrx(x18) q[2], q[3];\ncrx(x20) q[2], q[1];\ncrx(x21) q[2], q[0];\ncrx(x22) q[1], q[7];\ncrx(x14) q[1], q[6];\ncrx(x16) q[1], q[5];\ncrx(x17) q[1], q[4];\ncrx(x18) q[1], q[3];\ncrx(x19) q[1], q[2];\ncrx(x21) q[1], q[0];\ncrx(x22) q[0], q[7];\ncrx(x14) q[0], q[6];\ncrx(x16) q[0], q[5];\ncrx(x17) q[0], q[4];\ncrx(x18) q[0], q[3];\ncrx(x19) q[0], q[2];\ncrx(x20) q[0], q[1];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x12) q[6];\nrz(x35) q[6];\nrx(x12) q[7];\nrz(x36) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"node\": 7}","{\"circuits\": [], \"gradients\": []}"]
["80414d2e2eb4a15dac1e8a7f58be727c","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [655, 1679], \"expectation_value\": -2.951357682046318, \"params\": [1.6691, 0.0017000000000000001, 3.1619, 0.0048000000000000004, -0.0021000000000000003, 0.0032, 3.1612, 0.0002, -0.0027, 0.0009000000000000001, -0.0023, 0.0083, 0.434, 0.0008, 3.1604, 0.0083, 3.1617, 0.0076, 3.1401000000000003, 0.0081, 3.1619, 0.0001, 0.0019, 0.0027, 0.006200000000000001, 0.0038, 0.007, 0.0035, 0.0015, 0.0031000000000000003, 0.0088, 0.009600000000000001, 0.0021000000000000003], \"bitstrings\": [\"10101110000\", \"00101110000\"], \"total_optimization_steps\": 320, \"probabilities\": [0.4297982866071985, 0.523377192280714], \"optimization_time\": 10.03371548652649}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(1) @ Z(4) @ Z(7)) + -0.125 * (Z(1) @ Z(4) @ Z(8)) + -0.125 * (Z(1) @ Z(7) @ Z(8)) + -0.125 * (Z(4) @ Z(7) @ Z(8)) + 0.125 * (Z(1) @ Z(4) @ Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(10) @ Z(3)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(10) @ Z(7)) + -0.125 * (Z(3) @ Z(7) @ Z(5)) + -0.125 * (Z(10) @ Z(3) @ Z(5)) + -0.125 * (Z(10) @ Z(7) @ Z(3)) + -0.125 * (Z(10) @ Z(7) @ Z(5)) + 0.125 * (Z(3) @ Z(10) @ Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(9) @ Z(6)) + 0.125 * (Z(6) @ Z(10)) + 0.125 * (Z(9) @ Z(8)) + 0.125 * (Z(10) @ Z(8)) + 0.125 * (Z(9) @ Z(10)) + -0.125 * (Z(9) @ Z(6) @ Z(8)) + -0.125 * (Z(6) @ Z(10) @ Z(8)) + -0.125 * (Z(9) @ Z(6) @ Z(10)) + -0.125 * (Z(9) @ Z(10) @ Z(8)) + 0.125 * (Z(9) @ Z(6) @ Z(10) @ Z(8)) + -0.125 * Z(0) + 0.25 * Z(1) + -0.125 * Z(2) + 0.25 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -0.125 * Z(6) + 0.25 * Z(7) + 0.25 * Z(8) + -0.125 * Z(9) + 0.25 * Z(10)",18,11,1,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 18, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"10000101010\", \"01100110000\", \"10001100010\", \"00100110100\", \"11000100010\", \"00100111000\", \"10011000010\", \"00101010001\", \"10001001010\", \"01000110010\", \"10001000011\", \"10101000001\", \"00111010000\", \"00011010010\", \"10000100110\", \"10100100100\", \"00101110000\", \"00101011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(1.6691) q[0];\nrz(0.0017) q[0];\nrx(3.1619) q[1];\nrz(0.0048) q[1];\nrx(-0.0021) q[2];\nrz(0.0032) q[2];\nrx(3.1612) q[3];\nrz(0.0002) q[3];\nrx(-0.0027) q[4];\nrz(0.0009) q[4];\nrx(-0.0023) q[5];\nrz(0.0083) q[5];\nrx(0.434) q[6];\nrz(0.0008) q[6];\nrx(3.1604) q[7];\nrz(0.0083) q[7];\nrx(3.1617) q[8];\nrz(0.0076) q[8];\nrx(3.1401) q[9];\nrz(0.0081) q[9];\nrx(3.1619) q[10];\nrz(0.0001) q[10];\ncrz(0.0019) q[10], q[0];\ncrz(0.0021) q[9], q[10];\ncrz(0.0096) q[8], q[9];\ncrz(0.0088) q[7], q[8];\ncrz(0.0031) q[6], q[7];\ncrz(0.0015) q[5], q[6];\ncrz(0.0035) q[4], q[5];\ncrz(0.007) q[3], q[4];\ncrz(0.0038) q[2], q[3];\ncrz(0.0062) q[1], q[2];\ncrz(0.0027) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x11) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nrx(x2) q[10];\nrz(x19) q[10];\ncrz(x20) q[10], q[0];\ncrz(x21) q[9], q[10];\ncrz(x22) q[8], q[9];\ncrz(x23) q[7], q[8];\ncrz(x24) q[6], q[7];\ncrz(x25) q[5], q[6];\ncrz(x26) q[4], q[5];\ncrz(x27) q[3], q[4];\ncrz(x28) q[2], q[3];\ncrz(x29) q[1], q[2];\ncrz(x30) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["86bffc9e1d8a6ccff4432e6ca171cbfd","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}, {\"id\": 12}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 9, \"target\": 11}, {\"source\": 9, \"target\": 12}, {\"source\": 10, \"target\": 11}, {\"source\": 10, \"target\": 12}, {\"source\": 11, \"target\": 12}]}","{\"states\": [4080, 4088], \"expectation_value\": -17.276838936887945, \"params\": [-1.3646, -1.2072, 0.034300000000000004, -0.0444, -1.1583, 0.42410000000000003, 1.5653000000000001, 1.5763, 0.011300000000000001, -0.018000000000000002, 1.0170000000000001, -1.0072, -1.5699, -0.7939, 0.0688, -0.0684, -0.249, -0.3118, 0.12490000000000001, -0.1116, 0.0023, 0.0024000000000000002, 0.0023, 0.0025, 2.3827000000000003, 2.2735000000000003, 0.8432000000000001, -0.0023, -1.5102, 2.678, -2.7498, 1.8524, 0.06960000000000001, 0.0012000000000000001, 1.1615, 3.0994, -0.2972, 3.0212000000000003, 0.2752, -0.0118, 0.0074, 2.9485, -0.3043, 1.5709000000000002, 0.2561, 0.0094, 2.6122, -0.13290000000000002], \"bitstrings\": [\"000000001111\", \"000000000111\"], \"total_optimization_steps\": 360, \"probabilities\": [0.3709322117829975, 0.37425526158184097], \"optimization_time\": 18.729159355163574}","-1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(11)) + -2.0 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + -1.5 * Z(11) + -1.5 * Z(9) + -1.5 * Z(10)",14,12,1,"{\"smallest_eigenvalues\": [-19.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -16.5, \"smallest_bitstrings\": [\"000000000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-1.3646) q[0];\nry(0.0343) q[1];\nry(-1.1583) q[2];\nry(1.5653) q[3];\nry(0.0113) q[4];\nry(1.017) q[5];\nry(-1.5699) q[6];\nry(0.0688) q[7];\nry(-0.249) q[8];\nry(0.1249) q[9];\nry(0.0023) q[10];\nry(0.0023) q[11];\ncrx(2.3827) q[11], q[0];\ncrx(2.6122) q[10], q[11];\ncrx(0.2561) q[9], q[10];\ncrx(-0.3043) q[8], q[9];\ncrx(0.0074) q[7], q[8];\ncrx(0.2752) q[6], q[7];\ncrx(-0.2972) q[5], q[6];\ncrx(1.1615) q[4], q[5];\ncrx(0.0696) q[3], q[4];\ncrx(-2.7498) q[2], q[3];\ncrx(-1.5102) q[1], q[2];\ncrx(0.8432) q[0], q[1];\nry(-1.2072) q[0];\nry(-0.0444) q[1];\nry(0.4241) q[2];\nry(1.5763) q[3];\nry(-0.018) q[4];\nry(-1.0072) q[5];\nry(-0.7939) q[6];\nry(-0.0684) q[7];\nry(-0.3118) q[8];\nry(-0.1116) q[9];\nry(0.0024) q[10];\nry(0.0025) q[11];\ncrx(2.2735) q[11], q[10];\ncrx(-0.0023) q[0], q[11];\ncrx(2.678) q[0], q[1];\ncrx(1.8524) q[1], q[2];\ncrx(0.0012) q[2], q[3];\ncrx(3.0994) q[3], q[4];\ncrx(3.0212) q[4], q[5];\ncrx(-0.0118) q[5], q[6];\ncrx(2.9485) q[6], q[7];\ncrx(1.5709) q[7], q[8];\ncrx(0.0094) q[8], q[9];\ncrx(-0.1329) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x10) q[11];\ncrx(x11) q[11], q[0];\ncrx(x12) q[10], q[11];\ncrx(x13) q[9], q[10];\ncrx(x14) q[8], q[9];\ncrx(x15) q[7], q[8];\ncrx(x16) q[6], q[7];\ncrx(x17) q[5], q[6];\ncrx(x18) q[4], q[5];\ncrx(x19) q[3], q[4];\ncrx(x20) q[2], q[3];\ncrx(x21) q[1], q[2];\ncrx(x22) q[0], q[1];\nry(x23) q[0];\nry(x24) q[1];\nry(x25) q[2];\nry(x26) q[3];\nry(x27) q[4];\nry(x28) q[5];\nry(x29) q[6];\nry(x30) q[7];\nry(x31) q[8];\nry(x32) q[9];\nry(x33) q[10];\nry(x34) q[11];\ncrx(x35) q[11], q[10];\ncrx(x36) q[0], q[11];\ncrx(x37) q[0], q[1];\ncrx(x38) q[1], q[2];\ncrx(x39) q[2], q[3];\ncrx(x40) q[3], q[4];\ncrx(x41) q[4], q[5];\ncrx(x42) q[5], q[6];\ncrx(x43) q[6], q[7];\ncrx(x44) q[7], q[8];\ncrx(x45) q[8], q[9];\ncrx(x46) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"node\": 11}","{\"circuits\": [], \"gradients\": []}"]
["0897b31d9a82279b7ba3c27721e1c7dd","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [81, 67], \"expectation_value\": -4.999862355032983, \"params\": null, \"bitstrings\": [\"0101110\", \"0111100\"], \"total_optimization_steps\": 32, \"probabilities\": [1.7184705868459562e-05, 0.9999312201793686], \"optimization_time\": 28.382476806640625}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(4) + -2.0 * Z(1) + -1.0 * Z(3) + -1.0 * Z(5) + -1.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-5.0, -5.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"1100011\", \"0111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nry(-1.4449) q[2];\nry(-1.4449) q[4];\nry(-1.4449) q[3];\nry(1.4384) q[0];\nry(1.4384) q[6];\nry(1.4384) q[5];\ncry(-0.1259) q[6], q[3];\ncry(-0.1259) q[6], q[4];\ncry(-0.1259) q[5], q[2];\ncry(0.1248) q[6], q[0];\ncry(0.1247) q[0], q[5];\ncry(0.1242) q[5], q[6];\ncry(-0.0005) q[6], q[2];\ncry(-0.0005) q[5], q[3];\ncry(-0.0005) q[5], q[4];\ncry(0.0076) q[5], q[0];\ncry(0.007) q[6], q[5];\ncry(0.007) q[0], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":17825,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[2];\\nry(-1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[0];\\nry(1.4384) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[0];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[0];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-0.1259) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[0];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-0.1259) q[6], q[3];\\ncry(-0.1259) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[2];\\nry(-1.4449) q[4];\\nry(-1.4449) q[3];\\nry(1.4384) q[0];\\nry(1.4384) q[6];\\nry(1.4384) q[5];\\ncry(-0.1259) q[6], q[3];\\ncry(-0.1259) q[6], q[4];\\ncry(-0.1259) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708"}}]
["b2c25a19a038d07471a5450910ba4971","graph_coloring","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 2}, {\"id\": 1}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [26487, 26483], \"expectation_value\": -6.822506659114362, \"params\": [[[1.5587, 0.0012000000000000001], [1.5243, -0.0026000000000000003], [0.6936, 0.4874], [0.5596, -0.5748], [1.5201, 0.0036000000000000003], [1.5851000000000002, 0.0007], [1.5367000000000002, 0.0018000000000000002], [0.7077, -0.46440000000000003], [1.5409000000000002, -0.0023], [1.5771000000000002, -0.0015], [0.9692000000000001, -0.2278], [0.6682, -0.5122], [0.7316, -0.4807], [1.5734000000000001, -0.0029000000000000002], [1.5689000000000002, 0.0039000000000000003]], [[1.5645, 0.0029000000000000002], [1.5225, 0.0059], [0.6928000000000001, 0.0083], [0.5587, 0.0068000000000000005], [1.5182, 0.0074], [1.5887, 0.0025], [1.542, 0.0059], [0.7122, 0.0022], [1.5492000000000001, 0.0045000000000000005], [1.5814000000000001, 0.007], [0.9652000000000001, 0.0081], [0.6695, 0.0088], [0.7365, 0.0088], [1.5710000000000002, 0.0073], [1.5672000000000001, 0.009600000000000001]]], \"bitstrings\": [\"001100010001000\", \"001100010001100\"], \"total_optimization_steps\": 170, \"probabilities\": [0.049091736772321634, 0.06686915386874533], \"optimization_time\": 37.58081865310669}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(6)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(7)) + 0.25 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z(12)) + 0.25 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(8)) + 0.25 * (Z(14) @ Z(11)) + 0.5 * (Z(14) @ Z(12)) + 0.5 * (Z(14) @ Z(13)) + 1.0 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8) + 0.75 * Z(4) + 0.75 * Z(3) + 0.75 * Z(5) + 1.0 * Z(9) + 1.0 * Z(10) + 1.0 * Z(11) + 1.25 * Z(12) + 1.25 * Z(13) + 1.25 * Z(14)",1,15,2,"{\"smallest_eigenvalues\": [-8.749999999999968], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.749999999999943, \"smallest_bitstrings\": [\"001100010001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] q;\nrx(1.5587) q[0];\nrz(0.0012) q[0];\nrx(1.5243) q[1];\nrz(-0.0026) q[1];\nrx(0.6936) q[2];\nrz(0.4874) q[2];\nrx(0.5596) q[3];\nrz(-0.5748) q[3];\nrx(1.5201) q[4];\nrz(0.0036) q[4];\nrx(1.5851) q[5];\nrz(0.0007) q[5];\nrx(1.5367) q[6];\nrz(0.0018) q[6];\nrx(0.7077) q[7];\nrz(-0.4644) q[7];\nrx(1.5409) q[8];\nrz(-0.0023) q[8];\nrx(1.5771) q[9];\nrz(-0.0015) q[9];\nrx(0.9692) q[10];\nrz(-0.2278) q[10];\nrx(0.6682) q[11];\nrz(-0.5122) q[11];\nrx(0.7316) q[12];\nrz(-0.4807) q[12];\nrx(1.5734) q[13];\nrz(-0.0029) q[13];\nrx(1.5689) q[14];\nrz(0.0039) q[14];\nrx(1.5645) q[0];\nrz(0.0029) q[0];\nrx(1.5225) q[1];\nrz(0.0059) q[1];\nrx(0.6928) q[2];\nrz(0.0083) q[2];\nrx(0.5587) q[3];\nrz(0.0068) q[3];\nrx(1.5182) q[4];\nrz(0.0074) q[4];\nrx(1.5887) q[5];\nrz(0.0025) q[5];\nrx(1.542) q[6];\nrz(0.0059) q[6];\nrx(0.7122) q[7];\nrz(0.0022) q[7];\nrx(1.5492) q[8];\nrz(0.0045) q[8];\nrx(1.5814) q[9];\nrz(0.007) q[9];\nrx(0.9652) q[10];\nrz(0.0081) q[10];\nrx(0.6695) q[11];\nrz(0.0088) q[11];\nrx(0.7365) q[12];\nrz(0.0088) q[12];\nrx(1.571) q[13];\nrz(0.0073) q[13];\nrx(1.5672) q[14];\nrz(0.0096) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[15] c;\nqubit[15] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\nrx(x24) q[12];\nrz(x25) q[12];\nrx(x26) q[13];\nrz(x27) q[13];\nrx(x28) q[14];\nrz(x29) q[14];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x33) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nrx(x49) q[10];\nrz(x50) q[10];\nrx(x51) q[11];\nrz(x52) q[11];\nrx(x53) q[12];\nrz(x52) q[12];\nrx(x54) q[13];\nrz(x55) q[13];\nrx(x56) q[14];\nrz(x57) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];","{\"number_of_colors\": 3}","{\"circuits\": [], \"gradients\": []}"]
["fa93b2dabe9fb7de7eb6d59e4bf6bfd4","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 10}, {\"capacity\": 1, \"source\": 0, \"target\": 11}, {\"capacity\": 5, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 1, \"target\": 8}, {\"capacity\": 4, \"source\": 1, \"target\": 10}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 4, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 8}, {\"capacity\": 4, \"source\": 2, \"target\": 9}, {\"capacity\": 6, \"source\": 3, \"target\": 2}, {\"capacity\": 4, \"source\": 3, \"target\": 8}, {\"capacity\": 4, \"source\": 3, \"target\": 9}, {\"capacity\": 1, \"source\": 3, \"target\": 11}, {\"capacity\": 6, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 7}, {\"capacity\": 4, \"source\": 4, \"target\": 10}, {\"capacity\": 4, \"source\": 5, \"target\": 4}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 10}, {\"capacity\": 5, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 9}, {\"capacity\": 6, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 8}, {\"capacity\": 4, \"source\": 7, \"target\": 10}, {\"capacity\": 3, \"source\": 7, \"target\": 11}, {\"capacity\": 6, \"source\": 8, \"target\": 2}, {\"capacity\": 6, \"source\": 8, \"target\": 3}, {\"capacity\": 1, \"source\": 8, \"target\": 4}, {\"capacity\": 5, \"source\": 8, \"target\": 5}, {\"capacity\": 5, \"source\": 8, \"target\": 6}, {\"capacity\": 1, \"source\": 9, \"target\": 3}, {\"capacity\": 2, \"source\": 10, \"target\": 3}, {\"capacity\": 6, \"source\": 10, \"target\": 11}]}","{\"states\": [0, 2047], \"expectation_value\": -29.352880363747897, \"params\": [[[0.0066, -0.0059], [-0.0036000000000000003, 0.8293], [-0.0027, 0.003], [-0.0032, 0.0022], [-0.0026000000000000003, -0.0013000000000000002], [-0.0028, -0.0022], [-0.0026000000000000003, -0.0025], [-0.0025, 0.0014], [-0.0022, 0.0031000000000000003], [0.004200000000000001, 0.003], [-0.9963000000000001, -0.0001], [-0.5542, -0.006500000000000001]], [[-0.0011, -1.1611], [-0.0018000000000000002, 0.004], [-0.0028, -0.0022], [-0.0021000000000000003, 0.0019], [-0.0028, -0.0024000000000000002], [-0.0031000000000000003, -0.0032], [-0.0026000000000000003, -0.0032], [-0.0028, -0.0025], [-0.0029000000000000002, 0.0022], [0.0041, 0.0027], [0.0029000000000000002, -0.6797000000000001], [-0.5313, 0.0102]], [[-0.5308, 0.9563], [-0.0028, 0.11230000000000001], [-0.0028, -0.0028], [-0.0024000000000000002, -0.002], [-0.0028, 0.0022], [-0.0031000000000000003, 0.0023], [-0.0026000000000000003, 0.0025], [-0.0027, -0.0019], [-0.0028, -0.003], [-0.0015, -0.0029000000000000002], [0.7116, 0.0032], [-0.0081, -0.0077]]], \"bitstrings\": [\"111111111111\", \"100000000000\"], \"total_optimization_steps\": 170, \"probabilities\": [0.3129378220742259, 0.35987582486180125], \"optimization_time\": 21.385855674743652}","-0.25 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -2.75 * (Z(6) @ Z(1)) + -1.0 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(6)) + -2.25 * (Z(4) @ Z(10)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(10)) + -1.75 * (Z(5) @ Z(4)) + -1.0 * (Z(8) @ Z(6)) + -1.25 * (Z(8) @ Z(10)) + -1.0 * (Z(8) @ Z(4)) + -1.0 * (Z(11) @ Z(4)) + -1.25 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + -0.75 * (Z(9) @ Z(3)) + -1.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(10)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(10)) + -2.0 * (Z(7) @ Z(8)) + -1.5 * Z(2) + -0.25 * Z(0) + -2.0 * Z(3) + 1.75 * Z(1) + -0.25 * Z(6) + 2.5 * Z(10) + 0.0 * Z(4) + 1.25 * Z(5) + -2.25 * Z(8) + -2.25 * Z(11) + 3.5 * Z(9) + -0.5 * Z(7)",15,12,3,"{\"smallest_eigenvalues\": [-30.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -29.0, \"smallest_bitstrings\": [\"100000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.0066) q[0];\nry(-0.0036) q[1];\nry(-0.0027) q[2];\nry(-0.0032) q[3];\nry(-0.0026) q[4];\nry(-0.0028) q[5];\nry(-0.0026) q[6];\nry(-0.0025) q[7];\nry(-0.0022) q[8];\nry(0.0042) q[9];\nry(-0.9963) q[10];\nry(-0.5542) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0059) q[0];\nry(0.8293) q[1];\nry(0.003) q[2];\nry(0.0022) q[3];\nry(-0.0013) q[4];\nry(-0.0022) q[5];\nry(-0.0025) q[6];\nry(0.0014) q[7];\nry(0.0031) q[8];\nry(0.003) q[9];\nry(-0.0001) q[10];\nry(-0.0065) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.0011) q[0];\nry(-0.0018) q[1];\nry(-0.0028) q[2];\nry(-0.0021) q[3];\nry(-0.0028) q[4];\nry(-0.0031) q[5];\nry(-0.0026) q[6];\nry(-0.0028) q[7];\nry(-0.0029) q[8];\nry(0.0041) q[9];\nry(0.0029) q[10];\nry(-0.5313) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-1.1611) q[0];\nry(0.004) q[1];\nry(-0.0022) q[2];\nry(0.0019) q[3];\nry(-0.0024) q[4];\nry(-0.0032) q[5];\nry(-0.0032) q[6];\nry(-0.0025) q[7];\nry(0.0022) q[8];\nry(0.0027) q[9];\nry(-0.6797) q[10];\nry(0.0102) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.5308) q[0];\nry(-0.0028) q[1];\nry(-0.0028) q[2];\nry(-0.0024) q[3];\nry(-0.0028) q[4];\nry(-0.0031) q[5];\nry(-0.0026) q[6];\nry(-0.0027) q[7];\nry(-0.0028) q[8];\nry(-0.0015) q[9];\nry(0.7116) q[10];\nry(-0.0081) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.9563) q[0];\nry(0.1123) q[1];\nry(-0.0028) q[2];\nry(-0.002) q[3];\nry(0.0022) q[4];\nry(0.0023) q[5];\nry(0.0025) q[6];\nry(-0.0019) q[7];\nry(-0.003) q[8];\nry(-0.0029) q[9];\nry(0.0032) q[10];\nry(-0.0077) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x4) q[6];\nry(x6) q[7];\nry(x7) q[8];\nry(x8) q[9];\nry(x9) q[10];\nry(x10) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x15) q[4];\nry(x7) q[5];\nry(x6) q[6];\nry(x16) q[7];\nry(x17) q[8];\nry(x13) q[9];\nry(x18) q[10];\nry(x19) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x20) q[0];\nry(x21) q[1];\nry(x5) q[2];\nry(x22) q[3];\nry(x5) q[4];\nry(x23) q[5];\nry(x4) q[6];\nry(x5) q[7];\nry(x24) q[8];\nry(x25) q[9];\nry(x26) q[10];\nry(x27) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x28) q[0];\nry(x29) q[1];\nry(x7) q[2];\nry(x30) q[3];\nry(x31) q[4];\nry(x3) q[5];\nry(x3) q[6];\nry(x6) q[7];\nry(x14) q[8];\nry(x32) q[9];\nry(x33) q[10];\nry(x34) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x35) q[0];\nry(x5) q[1];\nry(x5) q[2];\nry(x31) q[3];\nry(x5) q[4];\nry(x23) q[5];\nry(x4) q[6];\nry(x2) q[7];\nry(x5) q[8];\nry(x36) q[9];\nry(x37) q[10];\nry(x38) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x39) q[0];\nry(x40) q[1];\nry(x5) q[2];\nry(x41) q[3];\nry(x14) q[4];\nry(x42) q[5];\nry(x43) q[6];\nry(x44) q[7];\nry(x45) q[8];\nry(x24) q[9];\nry(x46) q[10];\nry(x47) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["1434096e59219230a9a448bfa214dbb8","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 4, \"source\": 4, \"target\": 3}]}","{\"states\": [17, 31], \"expectation_value\": -3.7289682416716032, \"params\": null, \"bitstrings\": [\"101110\", \"100000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.09667736587704383, 0.740450720865255], \"optimization_time\": 26.60245132446289}","0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4)",1,6,3,"{\"smallest_eigenvalues\": [-4.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.25, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5486) q[3], q[4];\ncry(1.259) q[2], q[3];\nry(1.5308) q[1];\ncry(1.0863) q[4], q[2];\nry(0.4497) q[3];\ncry(0.6501) q[2], q[4];\ncry(0.1769) q[4], q[3];\ncry(0.4604) q[3], q[2];\nry(-0.3386) q[2];\ncry(-0.1431) q[1], q[3];\nry(-1.0342) q[0];\ncry(1.2671) q[3], q[5];\ncry(-0.4877) q[5], q[0];\nry(-0.1303) q[4];\nry(0.2535) q[5];\ncry(-0.0835) q[1], q[2];\ncry(0.1062) q[5], q[2];\ncry(0.0472) q[5], q[4];\ncry(-0.0453) q[1], q[4];\ncry(-0.0605) q[1], q[0];\ncry(0.0398) q[3], q[1];\ncry(0.0361) q[4], q[5];\ncry(-0.0358) q[0], q[2];\ncry(-0.0018) q[5], q[3];\ncry(-0.0242) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"source\": 0, \"sink\": 5}",{"$cut":{"chars":26497,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nry(1.5308) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nry(1.5308) q[1];\\ncry(1.0863) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nry(1.5308) q[1];\\ncry(1.0863) q[4], q[2];\\nry(0.4497) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nry(1.5308) q[1];\\ncry(1.0863) q[4], q[2];\\nry(0.4497) q[3];\\ncry(0.6501) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nry(1.5308) q[1];\\ncry(1.0863) q[4], q[2];\\nry(0.4497) q[3];\\ncry(0.6501) q[2], q[4];\\ncry(0.1769) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nry(1.5308) q[1];\\ncry(1.0863) q[4], q[2];\\nry(0.4497) q[3];\\ncry(0.6501) q[2], q[4];\\ncry(0.1769) q[4], q[3];\\ncry(0.4604) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nry(1.5308) q[1];\\ncry(1.0863) q[4], q[2];\\nry(0.4497) q[3];\\ncry(0.6501) q[2], q[4];\\ncry(0.1769) q[4], q[3];\\ncry(0.4604) q[3], q[2];\\nry(-0.3386) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nry(1.5308) q[1];\\ncry(1.0863) q[4], q[2];\\nry(0.4497) q[3];\\ncry(0.6501) q[2], q[4];\\ncry(0.1769) q[4], q[3];\\ncry(0.4604) q[3], q[2];\\nry(-0.3386) q[2];\\ncry(-0.1431) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5486) q[3], q[4];\\ncry(1.259) q[2], q[3];\\nry(1.5308) q[1];\\ncry(1.0863) q[4], q[2];\\nry(0.4497) q[3];\\ncry(0.6501) q[2], q[4];\\ncry(0.176"}}]
["5cbc7f8ae1a50d78d4d20f52d11c6d9a","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [437, 252], \"expectation_value\": -3.1496689355888234, \"params\": null, \"bitstrings\": [\"001001010\", \"100000011\"], \"total_optimization_steps\": 66, \"probabilities\": [0.07857011393965474, 0.6311201347026915], \"optimization_time\": 163.84185433387756}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(7)) + -0.125 * (Z(6) @ Z(7) @ Z(3)) + 0.125 * (Z(6) @ Z(1) @ Z(3) @ Z(7)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(8)) + -0.125 * (Z(6) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(4) @ Z(8)) + -0.125 * (Z(6) @ Z(2) @ Z(8)) + -0.125 * (Z(6) @ Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(2) @ Z(4) @ Z(8)) + 0.5 * (Z(8) @ Z(5)) + 0.125 * Z(0) + 0.125 * Z(1) + 0.125 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) + -0.125 * Z(5) + 0.25 * Z(6) + -0.625 * Z(7) + -0.125 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-3.625, -3.625], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.625, \"smallest_bitstrings\": [\"100000011\", \"001001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5158) q[7];\nry(1.3013) q[6];\ncry(-1.298) q[5], q[8];\nry(1.301) q[3];\nry(1.0322) q[1];\ncry(-1.2368) q[2], q[0];\ncry(0.5019) q[6], q[1];\nry(1.015) q[4];\ncry(-0.5133) q[5], q[0];\ncry(0.8413) q[5], q[2];\ncry(-0.4243) q[2], q[8];\ncry(0.84) q[2], q[5];\ncry(0.4752) q[1], q[4];\ncry(-0.1514) q[3], q[0];\ncry(0.2439) q[1], q[3];\ncry(0.2369) q[3], q[6];\ncry(-0.3686) q[8], q[2];\ncry(0.2663) q[3], q[2];\ncry(-0.055) q[3], q[7];\ncry(-0.0874) q[4], q[8];\ncry(-0.2987) q[0], q[5];\nry(0.2101) q[5];\ncry(-0.0575) q[4], q[0];\ncry(0.2677) q[8], q[0];\ncry(-0.0501) q[6], q[8];\ncry(0.2499) q[0], q[8];\ncry(-0.1879) q[8], q[5];\ncry(-0.1901) q[0], q[2];\nry(0.0619) q[8];\nry(0.0551) q[0];\nry(0.0682) q[2];\ncry(0.0709) q[3], q[4];\ncry(-0.0202) q[6], q[0];\ncry(0.0412) q[4], q[1];\ncry(0.0414) q[1], q[5];\ncry(-0.0227) q[1], q[8];\ncry(0.0233) q[4], q[2];\ncry(-0.0126) q[1], q[0];\ncry(0.0223) q[4], q[6];\ncry(0.0213) q[4], q[3];\ncry(0.0201) q[4], q[5];\ncry(-0.0095) q[3], q[8];\ncry(0.0116) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":68499,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5158) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5158) q[7];\\nry(1.3013) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5158) q[7];\\nry(1.3013) q[6];\\ncry(-1.298) q[5], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5158) q[7];\\nry(1.3013) q[6];\\ncry(-1.298) q[5], q[8];\\nry(1.301) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5158) q[7];\\nry(1.3013) q[6];\\ncry(-1.298) q[5], q[8];\\nry(1.301) q[3];\\nry(1.0322) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5158) q[7];\\nry(1.3013) q[6];\\ncry(-1.298) q[5], q[8];\\nry(1.301) q[3];\\nry(1.0322) q[1];\\ncry(-1.2368) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5158) q[7];\\nry(1.3013) q[6];\\ncry(-1.298) q[5], q[8];\\nry(1.301) q[3];\\nry(1.0322) q[1];\\ncry(-1.2368) q[2], q[0];\\ncry(0.5019) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5158) q[7];\\nry(1.3013) q[6];\\ncry(-1.298) q[5], q[8];\\nry(1.301) q[3];\\nry(1.0322) q[1];\\ncry(-1.2368) q[2], q[0];\\ncry(0.5019) q[6], q[1];\\nry(1.015) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(-1.5158) q[7];\\nry(1.3013) q[6];\\ncry(-1.298) q[5], q[8];\\nry(1.301) q[3];\\nry(1.0322) q[1];\\ncry(-1.2368) q[2], q[0];\\ncry(0.5019) q[6], q[1];\\nry(1.015) q[4];\\ncry(-0.5133) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\nincl"}}]
["e7056fbb187e68baa5d05b0b9cb6a901","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 17, \"source\": 0, \"target\": 2}, {\"weight\": 19, \"source\": 1, \"target\": 2}, {\"weight\": 11, \"source\": 1, \"target\": 3}, {\"weight\": 12, \"source\": 1, \"target\": 4}, {\"weight\": 5, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 2, \"target\": 4}, {\"weight\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [250, 122], \"expectation_value\": -31.10825981323011, \"params\": [[-0.0367, -0.0014, 0.0117], [0.068, 0.07150000000000001, 0.0685]], \"bitstrings\": [\"00000101\", \"10000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.015278094638170162, 0.017912905603621757], \"optimization_time\": 7.529843091964722}","3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 12.0 * Z(0) + 23.5 * Z(2) + 12.5 * Z(3) + 16.5 * Z(4) + 9.5 * Z(5) + 16.5 * Z(6) + 0.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-73.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -69.0, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2569) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2569) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2569) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.2569) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2569) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.2569) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2569) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2569) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2569) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.2569) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.2569) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.2569) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.2569) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.2569) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.2569) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.2569) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.2569) q[7];\ncx q[6], q[7];\nrz(-1.1377) q[1];\nrz(-0.8808) q[0];\nrz(-1.7249) q[2];\nrz(-0.9175) q[3];\nrz(-1.2111) q[4];\nrz(-0.6973) q[5];\nrz(-1.2111) q[6];\nrz(-0.0367) q[7];\nh q[0];\nrz(0.136) q[0];\nh q[0];\nh q[1];\nrz(0.136) q[1];\nh q[1];\nh q[2];\nrz(0.136) q[2];\nh q[2];\nh q[3];\nrz(0.136) q[3];\nh q[3];\nh q[4];\nrz(0.136) q[4];\nh q[4];\nh q[5];\nrz(0.136) q[5];\nh q[5];\nh q[6];\nrz(0.136) q[6];\nh q[6];\nh q[7];\nrz(0.136) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0098) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0098) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0098) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0098) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0098) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.0098) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0098) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0098) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0098) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.0098) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0098) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.0098) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.0098) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(-0.0098) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0098) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.0098) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.0098) q[7];\ncx q[6], q[7];\nrz(-0.0434) q[1];\nrz(-0.0336) q[0];\nrz(-0.0658) q[2];\nrz(-0.035) q[3];\nrz(-0.0462) q[4];\nrz(-0.0266) q[5];\nrz(-0.0462) q[6];\nrz(-0.0014) q[7];\nh q[0];\nrz(0.143) q[0];\nh q[0];\nh q[1];\nrz(0.143) q[1];\nh q[1];\nh q[2];\nrz(0.143) q[2];\nh q[2];\nh q[3];\nrz(0.143) q[3];\nh q[3];\nh q[4];\nrz(0.143) q[4];\nh q[4];\nh q[5];\nrz(0.143) q[5];\nh q[5];\nh q[6];\nrz(0.143) q[6];\nh q[6];\nh q[7];\nrz(0.143) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0819) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0819) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0819) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0819) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0819) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.0819) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0819) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0819) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0819) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0819) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0819) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(0.0819) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0819) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(0.0819) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0819) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(0.0819) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0819) q[7];\ncx q[6], q[7];\nrz(0.3627) q[1];\nrz(0.2808) q[0];\nrz(0.5499) q[2];\nrz(0.2925) q[3];\nrz(0.3861) q[4];\nrz(0.2223) q[5];\nrz(0.3861) q[6];\nrz(0.0117) q[7];\nh q[0];\nrz(0.137) q[0];\nh q[0];\nh q[1];\nrz(0.137) q[1];\nh q[1];\nh q[2];\nrz(0.137) q[2];\nh q[2];\nh q[3];\nrz(0.137) q[3];\nh q[3];\nh q[4];\nrz(0.137) q[4];\nh q[4];\nh q[5];\nrz(0.137) q[5];\nh q[5];\nh q[6];\nrz(0.137) q[6];\nh q[6];\nh q[7];\nrz(0.137) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x5) q[6];\nrz(x7) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x9) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x9) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[3];\nrz(x14) q[4];\nrz(x15) q[5];\nrz(x14) q[6];\nrz(x16) q[7];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x18) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x18) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x18) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x18) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x18) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x18) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x18) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x18) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x18) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x18) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x18) q[6];\ncx q[2], q[6];\ncx q[4], q[6];\nrz(x18) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x18) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x18) q[7];\ncx q[6], q[7];\nrz(x19) q[1];\nrz(x20) q[0];\nrz(x21) q[2];\nrz(x22) q[3];\nrz(x23) q[4];\nrz(x24) q[5];\nrz(x23) q[6];\nrz(x25) q[7];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 6}\"}","{\"circuits\": [], \"gradients\": []}"]
["ab38e7699e076f39debd51236acd2336","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 5, \"source\": 3, \"target\": 5}, {\"capacity\": 3, \"source\": 4, \"target\": 3}, {\"capacity\": 1, \"source\": 4, \"target\": 5}]}","{\"states\": [62, 31], \"expectation_value\": -2.8523748769537103, \"params\": [[0.0063, -0.019700000000000002, 0.787, 0.7887000000000001, 0.0034000000000000002, -0.0066], [-0.8852000000000001, 0.7879, 0.7377, 0.48950000000000005, 0.7892, 0.882], [-0.6561, -0.0664, 0.8112, 0.8978, 0.0152, 0.6626000000000001], [-0.8533000000000001, -0.0029000000000000002, 0.7629, 0.9102, 0.0091, 0.8512000000000001]], \"bitstrings\": [\"000001\", \"100000\"], \"total_optimization_steps\": 90, \"probabilities\": [0.1714162874106491, 0.17144332639500628], \"optimization_time\": 5.043154239654541}","-0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5)",9,6,4,"{\"smallest_eigenvalues\": [-5.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.25, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0063) q[0];\nrx(-0.0197) q[1];\nrx(0.787) q[2];\nrx(0.7887) q[3];\nrx(0.0034) q[4];\nrx(-0.0066) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.8852) q[0];\nrx(0.7879) q[1];\nrx(0.7377) q[2];\nrx(0.4895) q[3];\nrx(0.7892) q[4];\nrx(0.882) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.6561) q[0];\nrx(-0.0664) q[1];\nrx(0.8112) q[2];\nrx(0.8978) q[3];\nrx(0.0152) q[4];\nrx(0.6626) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(-0.8533) q[0];\nrx(-0.0029) q[1];\nrx(0.7629) q[2];\nrx(0.9102) q[3];\nrx(0.0091) q[4];\nrx(0.8512) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x6) q[0];\nrx(x7) q[1];\nrx(x8) q[2];\nrx(x9) q[3];\nrx(x10) q[4];\nrx(x11) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x12) q[0];\nrx(x13) q[1];\nrx(x14) q[2];\nrx(x15) q[3];\nrx(x16) q[4];\nrx(x17) q[5];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x18) q[0];\nrx(x19) q[1];\nrx(x20) q[2];\nrx(x21) q[3];\nrx(x22) q[4];\nrx(x23) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["2e200bb8073486f9f5618c79a707f4f5","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 0, \"target\": 6}, {\"weight\": 17, \"source\": 1, \"target\": 2}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 16, \"source\": 2, \"target\": 6}, {\"weight\": 13, \"source\": 3, \"target\": 8}, {\"weight\": 9, \"source\": 4, \"target\": 5}, {\"weight\": 7, \"source\": 6, \"target\": 7}, {\"weight\": 11, \"source\": 6, \"target\": 8}]}","{\"states\": [218, 217], \"expectation_value\": -33.59866918202871, \"params\": [[-0.027600000000000003], [0.26430000000000003]], \"bitstrings\": [\"100100101\", \"100100110\"], \"total_optimization_steps\": 30, \"probabilities\": [0.010522427359336433, 0.010626227841680649], \"optimization_time\": 2.226392984390259}","5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 15.5 * Z(1) + 4.5 * Z(0) + 13.5 * Z(2) + 10.0 * Z(3) + 23.0 * Z(4) + 6.5 * Z(5) + 8.5 * Z(7) + 15.5 * Z(8) + -5.5 * Z(6)",1,9,1,"{\"smallest_eigenvalues\": [-71.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -68.5, \"smallest_bitstrings\": [\"100100110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.276) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.276) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(-0.276) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.276) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(-0.276) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.276) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.276) q[5];\ncx q[3], q[5];\ncx q[1], q[7];\nrz(-0.276) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(-0.276) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(-0.276) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(-0.276) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(-0.276) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(-0.276) q[8];\ncx q[7], q[8];\nrz(-0.8556) q[1];\nrz(-0.2484) q[0];\nrz(-0.7452) q[2];\nrz(-0.552) q[3];\nrz(-1.2696) q[4];\nrz(-0.3588) q[5];\nrz(-0.4692) q[7];\nrz(-0.8556) q[8];\nrz(0.3036) q[6];\nh q[0];\nrz(0.5286) q[0];\nh q[0];\nh q[1];\nrz(0.5286) q[1];\nh q[1];\nh q[2];\nrz(0.5286) q[2];\nh q[2];\nh q[3];\nrz(0.5286) q[3];\nh q[3];\nh q[4];\nrz(0.5286) q[4];\nh q[4];\nh q[5];\nrz(0.5286) q[5];\nh q[5];\nh q[6];\nrz(0.5286) q[6];\nh q[6];\nh q[7];\nrz(0.5286) q[7];\nh q[7];\nh q[8];\nrz(0.5286) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[1], q[8];\nrz(x0) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[7];\nrz(x1) q[8];\nrz(x8) q[6];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 9}\"}","{\"circuits\": [], \"gradients\": []}"]
["73590e0e5e64cdd17befd03fc27853a5","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 9}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 9}]}","{\"states\": [0, 15], \"expectation_value\": -2.614084023742953, \"params\": [[-0.0651], [0.064]], \"bitstrings\": [\"111111111\", \"111110000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0036714899896583553, 0.003882933049109442], \"optimization_time\": 0.7436301708221436}","-3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.5 * (Z(1) @ Z(4)) + -3.0 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 2.5 * Z(2) + -2.5 * Z(0) + -2.5 * Z(4) + -2.5 * Z(1) + -2.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-31.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -27.5, \"smallest_bitstrings\": [\"111110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(0.3906) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(0.3906) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.3255) q[4];\ncx q[0], q[4];\ncx q[2], q[1];\nrz(0.3906) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(-0.1302) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(-0.1953) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(0.3906) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.1953) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(0.3906) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(0.3255) q[3];\ncx q[1], q[3];\ncx q[6], q[5];\nrz(0.2604) q[5];\ncx q[6], q[5];\ncx q[6], q[8];\nrz(-0.1302) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(0.2604) q[8];\ncx q[5], q[8];\ncx q[6], q[7];\nrz(0.2604) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(-0.1302) q[7];\ncx q[5], q[7];\ncx q[8], q[7];\nrz(0.2604) q[7];\ncx q[8], q[7];\nrz(-0.3255) q[2];\nrz(0.3255) q[0];\nrz(0.3255) q[4];\nrz(0.3255) q[1];\nrz(0.3255) q[3];\nrz(-0.0651) q[6];\nrz(-0.0651) q[5];\nrz(-0.0651) q[8];\nrz(-0.0651) q[7];\nh q[0];\nrz(0.128) q[0];\nh q[0];\nh q[1];\nrz(0.128) q[1];\nh q[1];\nh q[2];\nrz(0.128) q[2];\nh q[2];\nh q[3];\nrz(0.128) q[3];\nh q[3];\nh q[4];\nrz(0.128) q[4];\nh q[4];\nh q[5];\nrz(0.128) q[5];\nh q[5];\nh q[6];\nrz(0.128) q[6];\nh q[6];\nh q[7];\nrz(0.128) q[7];\nh q[7];\nh q[8];\nrz(0.128) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x2) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(x3) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x3) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[6], q[5];\nrz(x4) q[5];\ncx q[6], q[5];\ncx q[6], q[8];\nrz(x2) q[8];\ncx q[6], q[8];\ncx q[5], q[8];\nrz(x4) q[8];\ncx q[5], q[8];\ncx q[6], q[7];\nrz(x4) q[7];\ncx q[6], q[7];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[8], q[7];\nrz(x4) q[7];\ncx q[8], q[7];\nrz(x5) q[2];\nrz(x1) q[0];\nrz(x1) q[4];\nrz(x1) q[1];\nrz(x1) q[3];\nrz(x6) q[6];\nrz(x6) q[5];\nrz(x6) q[8];\nrz(x6) q[7];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nh q[8];\nrz(x7) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["477891dfe500747d074cc216ddf9357a","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 7}, {\"weight\": 6, \"source\": 1, \"target\": 8}, {\"weight\": 19, \"source\": 1, \"target\": 11}, {\"weight\": 8, \"source\": 2, \"target\": 9}, {\"weight\": 19, \"source\": 2, \"target\": 8}, {\"weight\": 10, \"source\": 3, \"target\": 10}, {\"weight\": 6, \"source\": 4, \"target\": 11}, {\"weight\": 2, \"source\": 5, \"target\": 12}, {\"weight\": 18, \"source\": 5, \"target\": 10}, {\"weight\": 5, \"source\": 6, \"target\": 13}, {\"weight\": 15, \"source\": 6, \"target\": 11}, {\"weight\": 18, \"source\": 6, \"target\": 9}]}","{\"states\": [1333, 1301], \"expectation_value\": -90.58946765505688, \"params\": [0.0024000000000000002, 0.4524, 0.5983, 0.1149, 0.3583, 0.2887, 0.6046, 0.0848, 0.3804, 0.1988, 0.0349, 0.27890000000000004, 0.3536, 0.1365, 0.6068, 0.0129, 0.0035, 0.40290000000000004, 0.5935, 0.0747, 0.3241, 0.19110000000000002, 0.5999, 0.0023, 0.0011, 0.45080000000000003, 0.5968, 0.1222, 0.3574, 0.3126, 0.6037, 0.1274, 0.3799, 0.2033, 0.0292, 0.27690000000000003, 0.34600000000000003, 0.1383, 0.6068, 0.029900000000000003, 0.005200000000000001, 0.405, 0.5951000000000001, 0.0805, 0.3239, 0.1787, 0.598, 0.009000000000000001, 0.0055000000000000005, 0.3633, 0.5959, 0.10930000000000001, 0.3522, 0.27790000000000004, 0.6006, 0.11750000000000001, 0.3718, 0.2034, 0.0332, 0.2775, 0.3448, 0.1385, 0.5992000000000001, 0.0437, 0.0019, 0.3819, 0.5935, 0.0772, 0.3291, 0.17020000000000002, 0.5999, 0.0049, 0.0002, 0.0045000000000000005, 0.6042000000000001, 0.0064, 0.3663, 0.0011, 0.5968, 0.0028, 0.3775, 0.0031000000000000003, 0.0358, 0.0005, 0.3468, 0.0044, 0.6033000000000001, 0.0046, 0.0048000000000000004, 0.004200000000000001, 0.6017, 0.0081, 0.3279, 0.0082, 0.6026, 0.0054, 0.012700000000000001, -0.43710000000000004, 0.22240000000000001, 0.1072, 0.19210000000000002, -0.189, -0.2777, -0.1051, 0.0263, -0.3608, 0.14300000000000002, -0.0721, 0.0043, -0.4315, 0.2366, 0.33130000000000004, 0.2303, -0.17750000000000002, -0.2569, -0.053500000000000006, 0.0625, -0.33430000000000004, 0.15430000000000002, 0.1723, 0.014400000000000001, -0.1773, 0.2422, 0.2928, 0.23370000000000002, -0.059800000000000006, -0.2162, 0.0286, 0.1005, 0.0443, 0.1643, 0.1721, 0.005, 0.0032, 0.007200000000000001, 0.0079, 0.006900000000000001, 0.0025, 0.003, 0.0004, 0.0081, 0.0051, 0.003, 0.0068000000000000005], \"bitstrings\": [\"101011001010\", \"101011101010\"], \"total_optimization_steps\": 60, \"probabilities\": [0.054422429613157276, 0.0821709307481467], \"optimization_time\": 23.47536873817444}","7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(11) @ Z(4)) + 7.5 * (Z(10) @ Z(11)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(9) @ Z(10)) + 3.0 * Z(2) + 17.0 * Z(1) + 9.5 * Z(3) + 4.0 * Z(4) + 3.0 * Z(6) + 9.0 * Z(7) + -2.5 * Z(5) + -6.5 * Z(8) + 16.5 * Z(11) + 2.5 * Z(10) + 22.5 * Z(9) + -14.5 * Z(0)",18,12,4,"{\"smallest_eigenvalues\": [-145.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -125.5, \"smallest_bitstrings\": [\"101011101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.0024) q[0];\nrz(0.4524) q[0];\nrx(0.5983) q[1];\nrz(0.1149) q[1];\nrx(0.3583) q[2];\nrz(0.2887) q[2];\nrx(0.6046) q[3];\nrz(0.0848) q[3];\nrx(0.3804) q[4];\nrz(0.1988) q[4];\nrx(0.0349) q[5];\nrz(0.2789) q[5];\nrx(0.3536) q[6];\nrz(0.1365) q[6];\nrx(0.6068) q[7];\nrz(0.0129) q[7];\nrx(0.0035) q[8];\nrz(0.4029) q[8];\nrx(0.5935) q[9];\nrz(0.0747) q[9];\nrx(0.3241) q[10];\nrz(0.1911) q[10];\nrx(0.5999) q[11];\nrz(0.0023) q[11];\ncrz(0.0127) q[11], q[0];\ncrz(-0.0721) q[10], q[11];\ncrz(0.143) q[9], q[10];\ncrz(-0.3608) q[8], q[9];\ncrz(0.0263) q[7], q[8];\ncrz(-0.1051) q[6], q[7];\ncrz(-0.2777) q[5], q[6];\ncrz(-0.189) q[4], q[5];\ncrz(0.1921) q[3], q[4];\ncrz(0.1072) q[2], q[3];\ncrz(0.2224) q[1], q[2];\ncrz(-0.4371) q[0], q[1];\nrx(0.0011) q[0];\nrz(0.4508) q[0];\nrx(0.5968) q[1];\nrz(0.1222) q[1];\nrx(0.3574) q[2];\nrz(0.3126) q[2];\nrx(0.6037) q[3];\nrz(0.1274) q[3];\nrx(0.3799) q[4];\nrz(0.2033) q[4];\nrx(0.0292) q[5];\nrz(0.2769) q[5];\nrx(0.346) q[6];\nrz(0.1383) q[6];\nrx(0.6068) q[7];\nrz(0.0299) q[7];\nrx(0.0052) q[8];\nrz(0.405) q[8];\nrx(0.5951) q[9];\nrz(0.0805) q[9];\nrx(0.3239) q[10];\nrz(0.1787) q[10];\nrx(0.598) q[11];\nrz(0.009) q[11];\ncrz(0.0043) q[11], q[0];\ncrz(0.1723) q[10], q[11];\ncrz(0.1543) q[9], q[10];\ncrz(-0.3343) q[8], q[9];\ncrz(0.0625) q[7], q[8];\ncrz(-0.0535) q[6], q[7];\ncrz(-0.2569) q[5], q[6];\ncrz(-0.1775) q[4], q[5];\ncrz(0.2303) q[3], q[4];\ncrz(0.3313) q[2], q[3];\ncrz(0.2366) q[1], q[2];\ncrz(-0.4315) q[0], q[1];\nrx(0.0055) q[0];\nrz(0.3633) q[0];\nrx(0.5959) q[1];\nrz(0.1093) q[1];\nrx(0.3522) q[2];\nrz(0.2779) q[2];\nrx(0.6006) q[3];\nrz(0.1175) q[3];\nrx(0.3718) q[4];\nrz(0.2034) q[4];\nrx(0.0332) q[5];\nrz(0.2775) q[5];\nrx(0.3448) q[6];\nrz(0.1385) q[6];\nrx(0.5992) q[7];\nrz(0.0437) q[7];\nrx(0.0019) q[8];\nrz(0.3819) q[8];\nrx(0.5935) q[9];\nrz(0.0772) q[9];\nrx(0.3291) q[10];\nrz(0.1702) q[10];\nrx(0.5999) q[11];\nrz(0.0049) q[11];\ncrz(0.0144) q[11], q[0];\ncrz(0.1721) q[10], q[11];\ncrz(0.1643) q[9], q[10];\ncrz(0.0443) q[8], q[9];\ncrz(0.1005) q[7], q[8];\ncrz(0.0286) q[6], q[7];\ncrz(-0.2162) q[5], q[6];\ncrz(-0.0598) q[4], q[5];\ncrz(0.2337) q[3], q[4];\ncrz(0.2928) q[2], q[3];\ncrz(0.2422) q[1], q[2];\ncrz(-0.1773) q[0], q[1];\nrx(0.0002) q[0];\nrz(0.0045) q[0];\nrx(0.6042) q[1];\nrz(0.0064) q[1];\nrx(0.3663) q[2];\nrz(0.0011) q[2];\nrx(0.5968) q[3];\nrz(0.0028) q[3];\nrx(0.3775) q[4];\nrz(0.0031) q[4];\nrx(0.0358) q[5];\nrz(0.0005) q[5];\nrx(0.3468) q[6];\nrz(0.0044) q[6];\nrx(0.6033) q[7];\nrz(0.0046) q[7];\nrx(0.0048) q[8];\nrz(0.0042) q[8];\nrx(0.6017) q[9];\nrz(0.0081) q[9];\nrx(0.3279) q[10];\nrz(0.0082) q[10];\nrx(0.6026) q[11];\nrz(0.0054) q[11];\ncrz(0.005) q[11], q[0];\ncrz(0.0068) q[10], q[11];\ncrz(0.003) q[9], q[10];\ncrz(0.0051) q[8], q[9];\ncrz(0.0081) q[7], q[8];\ncrz(0.0004) q[6], q[7];\ncrz(0.003) q[5], q[6];\ncrz(0.0025) q[4], q[5];\ncrz(0.0069) q[3], q[4];\ncrz(0.0079) q[2], q[3];\ncrz(0.0072) q[1], q[2];\ncrz(0.0032) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[11], q[0];\ncrz(x25) q[10], q[11];\ncrz(x26) q[9], q[10];\ncrz(x27) q[8], q[9];\ncrz(x28) q[7], q[8];\ncrz(x29) q[6], q[7];\ncrz(x30) q[5], q[6];\ncrz(x31) q[4], q[5];\ncrz(x32) q[3], q[4];\ncrz(x33) q[2], q[3];\ncrz(x34) q[1], q[2];\ncrz(x35) q[0], q[1];\nrx(x36) q[0];\nrz(x37) q[0];\nrx(x38) q[1];\nrz(x39) q[1];\nrx(x40) q[2];\nrz(x41) q[2];\nrx(x42) q[3];\nrz(x43) q[3];\nrx(x44) q[4];\nrz(x45) q[4];\nrx(x46) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\nrx(x14) q[7];\nrz(x50) q[7];\nrx(x51) q[8];\nrz(x52) q[8];\nrx(x53) q[9];\nrz(x54) q[9];\nrx(x55) q[10];\nrz(x56) q[10];\nrx(x57) q[11];\nrz(x58) q[11];\ncrz(x59) q[11], q[0];\ncrz(x60) q[10], q[11];\ncrz(x61) q[9], q[10];\ncrz(x62) q[8], q[9];\ncrz(x63) q[7], q[8];\ncrz(x64) q[6], q[7];\ncrz(x65) q[5], q[6];\ncrz(x66) q[4], q[5];\ncrz(x67) q[3], q[4];\ncrz(x68) q[2], q[3];\ncrz(x69) q[1], q[2];\ncrz(x70) q[0], q[1];\nrx(x71) q[0];\nrz(x72) q[0];\nrx(x73) q[1];\nrz(x74) q[1];\nrx(x75) q[2];\nrz(x76) q[2];\nrx(x77) q[3];\nrz(x78) q[3];\nrx(x79) q[4];\nrz(x80) q[4];\nrx(x81) q[5];\nrz(x82) q[5];\nrx(x83) q[6];\nrz(x84) q[6];\nrx(x85) q[7];\nrz(x86) q[7];\nrx(x87) q[8];\nrz(x88) q[8];\nrx(x18) q[9];\nrz(x89) q[9];\nrx(x90) q[10];\nrz(x91) q[10];\nrx(x22) q[11];\nrz(x92) q[11];\ncrz(x93) q[11], q[0];\ncrz(x94) q[10], q[11];\ncrz(x95) q[9], q[10];\ncrz(x96) q[8], q[9];\ncrz(x97) q[7], q[8];\ncrz(x98) q[6], q[7];\ncrz(x99) q[5], q[6];\ncrz(x100) q[4], q[5];\ncrz(x101) q[3], q[4];\ncrz(x102) q[2], q[3];\ncrz(x103) q[1], q[2];\ncrz(x104) q[0], q[1];\nrx(x105) q[0];\nrz(x106) q[0];\nrx(x107) q[1];\nrz(x108) q[1];\nrx(x109) q[2];\nrz(x36) q[2];\nrx(x38) q[3];\nrz(x110) q[3];\nrx(x111) q[4];\nrz(x112) q[4];\nrx(x113) q[5];\nrz(x114) q[5];\nrx(x115) q[6];\nrz(x116) q[6];\nrx(x117) q[7];\nrz(x118) q[7];\nrx(x119) q[8];\nrz(x120) q[8];\nrx(x121) q[9];\nrz(x122) q[9];\nrx(x123) q[10];\nrz(x124) q[10];\nrx(x125) q[11];\nrz(x126) q[11];\ncrz(x127) q[11], q[0];\ncrz(x128) q[10], q[11];\ncrz(x129) q[9], q[10];\ncrz(x130) q[8], q[9];\ncrz(x122) q[7], q[8];\ncrz(x131) q[6], q[7];\ncrz(x129) q[5], q[6];\ncrz(x132) q[4], q[5];\ncrz(x133) q[3], q[4];\ncrz(x134) q[2], q[3];\ncrz(x135) q[1], q[2];\ncrz(x136) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10, 11, 12, 13]}\"}","{\"circuits\": [], \"gradients\": []}"]
["a580428593ca2a54e0f078f27f8703fa","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 4, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 1, \"source\": 2, \"target\": 7}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 5, \"source\": 4, \"target\": 6}, {\"capacity\": 5, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 7}]}","{\"states\": [117, 125], \"expectation_value\": -8.24819846273081, \"params\": null, \"bitstrings\": [\"10001010\", \"10000010\"], \"total_optimization_steps\": 45, \"probabilities\": [0.49910390523101167, 0.49910390523101167], \"optimization_time\": 49.377166986465454}","-0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 1.25 * Z(1) + 0.0 * Z(3) + 1.5 * Z(5) + 0.25 * Z(4) + -3.0 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-8.25, -8.25, -8.25, -8.25], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -7.25, \"smallest_bitstrings\": [\"10000000\", \"10011010\", \"10001010\", \"10000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nry(1.5706) q[1];\ncry(1.5708) q[1], q[5];\ncry(1.5681) q[5], q[3];\ncry(1.4449) q[3], q[2];\ncry(1.4433) q[5], q[7];\ncry(-1.4448) q[7], q[0];\nry(0.0903) q[7];\ncry(-0.1223) q[5], q[0];\nry(0.1188) q[2];\ncry(0.0001) q[5], q[1];\ncry(0.0001) q[7], q[6];\ncry(-0.0068) q[3], q[0];\ncry(0.002) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 7}",{"$cut":{"chars":25459,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nry(1.5706) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nry(1.5706) q[1];\\ncry(1.5708) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nry(1.5706) q[1];\\ncry(1.5708) q[1], q[5];\\ncry(1.5681) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nry(1.5706) q[1];\\ncry(1.5708) q[1], q[5];\\ncry(1.5681) q[5], q[3];\\ncry(1.4449) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nry(1.5706) q[1];\\ncry(1.5708) q[1], q[5];\\ncry(1.5681) q[5], q[3];\\ncry(1.4449) q[3], q[2];\\ncry(1.4433) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nry(1.5706) q[1];\\ncry(1.5708) q[1], q[5];\\ncry(1.5681) q[5], q[3];\\ncry(1.4449) q[3], q[2];\\ncry(1.4433) q[5], q[7];\\ncry(-1.4448) q[7], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nry(1.5706) q[1];\\ncry(1.5708) q[1], q[5];\\ncry(1.5681) q[5], q[3];\\ncry(1.4449) q[3], q[2];\\ncry(1.4433) q[5], q[7];\\ncry(-1.4448) q[7], q[0];\\nry(0.0903) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nry(1.5706) q[1];\\ncry(1.5708) q[1], q[5];\\ncry(1.5681) q[5], q[3];\\ncry(1.4449) q[3], q[2];\\ncry(1.4433) q[5], q[7];\\ncry(-1.4448) q[7], q[0];\\nry(0.0903) q[7];\\ncry(-0.1223) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(-1.5709) q[6];\\nry(1.5706) q[1];\\ncry(1.5708) q[1], q[5];\\ncry(1.5681) q["}}]
["01c79553cd838cd252f6e60dedff49e5","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 4, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 4, \"source\": 6, \"target\": 3}]}","{\"states\": [128, 127], \"expectation_value\": -1.6261731661390022, \"params\": [[0.07740000000000001, 0.0781], [-0.08320000000000001, -0.08080000000000001]], \"bitstrings\": [\"01111111\", \"10000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009328121878471152, 0.01044049730935943], \"optimization_time\": 3.5465168952941895}","-0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(7) + -1.25 * Z(6) + 0.5 * Z(3) + -0.75 * Z(4) + 2.25 * Z(5)",1,8,2,"{\"smallest_eigenvalues\": [-9.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.25, \"smallest_bitstrings\": [\"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(-0.0387) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0774) q[1];\ncx q[2], q[1];\ncx q[2], q[7];\nrz(-0.1161) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(0.0774) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(-0.0774) q[7];\ncx q[1], q[7];\ncx q[2], q[6];\nrz(-0.1161) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(-0.0774) q[6];\ncx q[1], q[6];\ncx q[6], q[3];\nrz(-0.3096) q[3];\ncx q[6], q[3];\ncx q[1], q[4];\nrz(-0.0387) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(-0.0774) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(-0.0774) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.0387) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(-0.0774) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(-0.0774) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(-0.1548) q[5];\ncx q[4], q[5];\nrz(0.0774) q[2];\nrz(-0.0387) q[0];\nrz(-0.0387) q[1];\nrz(-0.1161) q[7];\nrz(-0.1935) q[6];\nrz(0.0774) q[3];\nrz(-0.1161) q[4];\nrz(0.3483) q[5];\nh q[0];\nrz(-0.1664) q[0];\nh q[0];\nh q[1];\nrz(-0.1664) q[1];\nh q[1];\nh q[2];\nrz(-0.1664) q[2];\nh q[2];\nh q[3];\nrz(-0.1664) q[3];\nh q[3];\nh q[4];\nrz(-0.1664) q[4];\nh q[4];\nh q[5];\nrz(-0.1664) q[5];\nh q[5];\nh q[6];\nrz(-0.1664) q[6];\nh q[6];\nh q[7];\nrz(-0.1664) q[7];\nh q[7];\ncx q[2], q[0];\nrz(-0.0391) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0781) q[1];\ncx q[2], q[1];\ncx q[2], q[7];\nrz(-0.1172) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(0.0781) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(-0.0781) q[7];\ncx q[1], q[7];\ncx q[2], q[6];\nrz(-0.1172) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(-0.0781) q[6];\ncx q[1], q[6];\ncx q[6], q[3];\nrz(-0.3124) q[3];\ncx q[6], q[3];\ncx q[1], q[4];\nrz(-0.0391) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(-0.0781) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(-0.0781) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.0391) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(-0.0781) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(-0.0781) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(-0.1562) q[5];\ncx q[4], q[5];\nrz(0.0781) q[2];\nrz(-0.0391) q[0];\nrz(-0.0391) q[1];\nrz(-0.1172) q[7];\nrz(-0.1953) q[6];\nrz(0.0781) q[3];\nrz(-0.1172) q[4];\nrz(0.3515) q[5];\nh q[0];\nrz(-0.1616) q[0];\nh q[0];\nh q[1];\nrz(-0.1616) q[1];\nh q[1];\nh q[2];\nrz(-0.1616) q[2];\nh q[2];\nh q[3];\nrz(-0.1616) q[3];\nh q[3];\nh q[4];\nrz(-0.1616) q[4];\nh q[4];\nh q[5];\nrz(-0.1616) q[5];\nh q[5];\nh q[6];\nrz(-0.1616) q[6];\nh q[6];\nh q[7];\nrz(-0.1616) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(x3) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[2], q[6];\nrz(x2) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[6], q[3];\nrz(x4) q[3];\ncx q[6], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(x1) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(x5) q[5];\ncx q[4], q[5];\nrz(x3) q[2];\nrz(x0) q[0];\nrz(x0) q[1];\nrz(x2) q[7];\nrz(x6) q[6];\nrz(x3) q[3];\nrz(x2) q[4];\nrz(x7) q[5];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x10) q[1];\ncx q[2], q[1];\ncx q[2], q[7];\nrz(x11) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(x12) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(x10) q[7];\ncx q[1], q[7];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[1], q[6];\nrz(x10) q[6];\ncx q[1], q[6];\ncx q[6], q[3];\nrz(x13) q[3];\ncx q[6], q[3];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(x10) q[4];\ncx q[6], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(x14) q[5];\ncx q[4], q[5];\nrz(x12) q[2];\nrz(x9) q[0];\nrz(x9) q[1];\nrz(x11) q[7];\nrz(x15) q[6];\nrz(x12) q[3];\nrz(x11) q[4];\nrz(x16) q[5];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["406f205c8f68e15d44cfdbce281f4c7d","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 4}, {\"id\": 3}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 4, \"target\": 3}]}","{\"states\": [41, 7], \"expectation_value\": -1.5166512072452047, \"params\": [[0.0658], [-0.0645]], \"bitstrings\": [\"010110\", \"111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.019359398787519147, 0.019634012647604095], \"optimization_time\": 2.0501973628997803}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(5) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.25 * Z(5)",16,6,1,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(0.2303) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2303) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2303) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.2303) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.2632) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.2632) q[4];\ncx q[2], q[4];\ncx q[1], q[3];\nrz(0.2632) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.2632) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2632) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.2303) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(0.2632) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.2303) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.2632) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.2632) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.2632) q[5];\ncx q[3], q[5];\nrz(-0.0987) q[1];\nrz(-0.0987) q[0];\nrz(-0.0658) q[2];\nrz(-0.0658) q[4];\nrz(-0.0329) q[3];\nrz(-0.0329) q[5];\nh q[0];\nrz(-0.129) q[0];\nh q[0];\nh q[1];\nrz(-0.129) q[1];\nh q[1];\nh q[2];\nrz(-0.129) q[2];\nh q[2];\nh q[3];\nrz(-0.129) q[3];\nh q[3];\nh q[4];\nrz(-0.129) q[4];\nh q[4];\nh q[5];\nrz(-0.129) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x3) q[4];\nrz(x4) q[3];\nrz(x4) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["1a5bb4c1f24db958a05d57d3d52dd9db","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 7}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 8}, {\"source\": 5, \"target\": 6}]}","{\"states\": [148, 180], \"expectation_value\": -6.073675662947084, \"params\": [[0.004200000000000001, 1.0511000000000001, 0.00030000000000000003, 0.7217, 1.2014, -0.018600000000000002, 1.0514000000000001, -0.0037, 0.0005], [0.0006000000000000001, 1.0492000000000001, -0.0012000000000000001, -0.5223, 0.9165000000000001, -0.012400000000000001, 1.0483, -0.002, 0.0023], [-0.0048000000000000004, 1.0514000000000001, -0.0008, 1.0333, 1.1891, -0.0194, 1.0531000000000001, -0.0014, 0.0059]], \"bitstrings\": [\"101101011\", \"101001011\"], \"total_optimization_steps\": 120, \"probabilities\": [0.42380873761027676, 0.5743943273214668], \"optimization_time\": 18.94112277030945}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(7) + -1.5 * Z(8) + -1.0 * Z(5) + -1.0 * Z(3)",10,9,2,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"011110100\", \"101001011\", \"110001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.0042) q[0];\nry(1.0511) q[1];\nry(0.0003) q[2];\nry(0.7217) q[3];\nry(1.2014) q[4];\nry(-0.0186) q[5];\nry(1.0514) q[6];\nry(-0.0037) q[7];\nry(0.0005) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(0.0006) q[0];\nry(1.0492) q[1];\nry(-0.0012) q[2];\nry(-0.5223) q[3];\nry(0.9165) q[4];\nry(-0.0124) q[5];\nry(1.0483) q[6];\nry(-0.002) q[7];\nry(0.0023) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(-0.0048) q[0];\nry(1.0514) q[1];\nry(-0.0008) q[2];\nry(1.0333) q[3];\nry(1.1891) q[4];\nry(-0.0194) q[5];\nry(1.0531) q[6];\nry(-0.0014) q[7];\nry(0.0059) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x18) q[0];\nry(x6) q[1];\nry(x19) q[2];\nry(x20) q[3];\nry(x21) q[4];\nry(x22) q[5];\nry(x23) q[6];\nry(x24) q[7];\nry(x25) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["c508ed0753e7f28a56c3d421944e1b14","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 6, \"target\": 10}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 7, \"target\": 10}]}","{\"states\": [991, 31], \"expectation_value\": -2.2410999660497652, \"params\": [[0.0736], [-0.0819]], \"bitstrings\": [\"0000100000\", \"1111100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0018045764598153171, 0.0019028436902766373], \"optimization_time\": 1.3310620784759521}","-2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(9)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.0 * Z(1) + -2.0 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + -1.5 * Z(4) + 0.5 * Z(9) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(8)",1,10,1,"{\"smallest_eigenvalues\": [-18.5, -18.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -17.5, \"smallest_bitstrings\": [\"1111100000\", \"0000100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(-0.368) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.368) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.368) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2944) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0736) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0736) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.0736) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.1472) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.368) q[4];\ncx q[2], q[4];\ncx q[9], q[5];\nrz(-0.2208) q[5];\ncx q[9], q[5];\ncx q[9], q[6];\nrz(-0.368) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(0.0736) q[6];\ncx q[5], q[6];\ncx q[9], q[7];\nrz(0.0736) q[7];\ncx q[9], q[7];\ncx q[6], q[7];\nrz(-0.2944) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(0.0736) q[8];\ncx q[9], q[8];\ncx q[6], q[8];\nrz(-0.2944) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.0736) q[8];\ncx q[7], q[8];\nrz(0.1472) q[1];\nrz(-0.2944) q[0];\nrz(0.2208) q[2];\nrz(0.0736) q[3];\nrz(-0.2208) q[4];\nrz(0.0736) q[9];\nrz(0.0736) q[5];\nrz(0.0736) q[6];\nrz(0.0736) q[7];\nrz(0.0736) q[8];\nh q[0];\nrz(-0.1638) q[0];\nh q[0];\nh q[1];\nrz(-0.1638) q[1];\nh q[1];\nh q[2];\nrz(-0.1638) q[2];\nh q[2];\nh q[3];\nrz(-0.1638) q[3];\nh q[3];\nh q[4];\nrz(-0.1638) q[4];\nh q[4];\nh q[5];\nrz(-0.1638) q[5];\nh q[5];\nh q[6];\nrz(-0.1638) q[6];\nh q[6];\nh q[7];\nrz(-0.1638) q[7];\nh q[7];\nh q[8];\nrz(-0.1638) q[8];\nh q[8];\nh q[9];\nrz(-0.1638) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x3) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[9], q[5];\nrz(x4) q[5];\ncx q[9], q[5];\ncx q[9], q[6];\nrz(x0) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[9], q[7];\nrz(x2) q[7];\ncx q[9], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(x2) q[8];\ncx q[9], q[8];\ncx q[6], q[8];\nrz(x1) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x2) q[8];\ncx q[7], q[8];\nrz(x3) q[1];\nrz(x1) q[0];\nrz(x5) q[2];\nrz(x2) q[3];\nrz(x4) q[4];\nrz(x2) q[9];\nrz(x2) q[5];\nrz(x2) q[6];\nrz(x2) q[7];\nrz(x2) q[8];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\nh q[9];\nrz(x6) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["0ae9b6f2b61290137ab22e2dafb0c164","hamiltonian_path","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 1}, {\"weight\": 23, \"source\": 0, \"target\": 4}, {\"weight\": 2, \"source\": 1, \"target\": 2}, {\"weight\": 21, \"source\": 1, \"target\": 3}, {\"weight\": 5, \"source\": 2, \"target\": 3}, {\"weight\": 29, \"source\": 2, \"target\": 4}, {\"weight\": 5, \"source\": 3, \"target\": 4}]}","{\"states\": [411, 413], \"expectation_value\": -5.7106844257852964, \"params\": null, \"bitstrings\": [\"001100100\", \"001100010\"], \"total_optimization_steps\": 64, \"probabilities\": [0.05865541747741875, 0.8578073217068284], \"optimization_time\": 89.63757014274597}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.0 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 1.0 * Z(3) + 1.0 * Z(4) + 1.0 * Z(5) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8)",5,9,3,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001010100\", \"001100010\", \"010001100\", \"010100001\", \"100010001\", \"100001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nry(1.5681) q[4];\nry(1.5681) q[0];\ncry(-1.0342) q[6], q[7];\ncry(-1.0342) q[5], q[2];\nry(1.3762) q[1];\ncry(-0.5042) q[1], q[2];\nry(1.1464) q[5];\ncry(-1.3967) q[5], q[3];\ncry(1.2149) q[8], q[6];\ncry(-0.9548) q[8], q[7];\ncry(-0.4336) q[8], q[2];\nry(0.3272) q[6];\ncry(0.2697) q[0], q[5];\ncry(-0.2088) q[6], q[3];\ncry(0.1853) q[6], q[1];\ncry(-0.091) q[4], q[7];\ncry(-0.0631) q[4], q[2];\ncry(0.0395) q[1], q[5];\ncry(0.0261) q[0], q[6];\ncry(-0.0085) q[0], q[2];\ncry(-0.0071) q[1], q[7];\ncry(-0.0381) q[3], q[5];\ncry(-0.0336) q[2], q[5];\ncry(0.022) q[2], q[3];\nry(0.0076) q[2];\ncry(0.0208) q[7], q[3];\ncry(0.0001) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"start_node\": 0, \"end_node\": 4}",{"$cut":{"chars":53551,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nry(1.3762) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nry(1.3762) q[1];\\ncry(-0.5042) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nry(1.3762) q[1];\\ncry(-0.5042) q[1], q[2];\\nry(1.1464) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nry(1.3762) q[1];\\ncry(-0.5042) q[1], q[2];\\nry(1.1464) q[5];\\ncry(-1.3967) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3"}}]
["7398654333065398867","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"hyperedges\": [[1, 3, 5, 9], [1, 10, 4], [3, 1, 11, 7], [8, 2, 5, 6], [1, 4, 6], [8, 7], [3, 10, 11], [0, 11, 12], [9, 12], [9, 2, 10]]}","{\"states\": [8165, 7909], \"expectation_value\": -2.7216756161096445, \"params\": [1.4924000000000002, 1.4998, 1.4894, 1.4928000000000001, 1.494, 1.4826000000000001, 1.3814, 1.4946000000000002, 0.6056, 0.48500000000000004, 1.4845000000000002, 1.4851, 1.4572, 1.4868000000000001, 1.4793, 1.4917, 0.2629, 0.251, 0.28, 0.25730000000000003, 1.4903000000000002, 1.4964000000000002, 1.4921, 1.4829, 1.3125, 1.2736, 0.618, 1.3431, 0.46680000000000005, 0.39880000000000004, 1.0125, 0.4647, 0.776, 0.3136, 0.4305, 0.4262, 0.8241, 0.2682, 1.3064, 0.6842, 0.8905000000000001, 0.8476, -0.7368, 0.6438, 1.4724000000000002, 0.10060000000000001, 0.2837, 0.1429, -0.0437, 1.1043, 0.08120000000000001, 1.4753], \"bitstrings\": [\"0000000011010\", \"0000100011010\"], \"total_optimization_steps\": 150, \"probabilities\": [0.19693499891904342, 0.3402770213886649], \"optimization_time\": 15.544970989227295}","0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.16666666666666666 * (Z(10) @ Z(9)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(10)) + 0.25 * (Z(11) @ Z(3)) + 0.08333333333333333 * (Z(11) @ Z(1)) + 0.16666666666666666 * (Z(11) @ Z(10)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(11)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(10)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.16666666666666666 * (Z(12) @ Z(11)) + 0.16666666666666666 * (Z(12) @ Z(0)) + 0.41666666666666674 * Z(3) + 0.5833333333333335 * Z(1) + 0.24999999999999994 * Z(5) + 0.29166666666666663 * Z(9) + 0.4999999999999999 * Z(10) + 0.3333333333333333 * Z(4) + 0.45833333333333337 * Z(11) + 0.125 * Z(7) + 0.1250000000000001 * Z(8) + 0.29166666666666663 * Z(2) + 0.29166666666666663 * Z(6) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(12)",14,13,1,"{\"smallest_eigenvalues\": [-3.416666666666666], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.3333333333333335, \"smallest_bitstrings\": [\"0000100011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nry(1.4924) q[0];\nry(1.4894) q[1];\nry(1.494) q[2];\nry(1.3814) q[3];\nry(0.6056) q[4];\nry(1.4845) q[5];\nry(1.4572) q[6];\nry(1.4793) q[7];\nry(0.2629) q[8];\nry(0.28) q[9];\nry(1.4903) q[10];\nry(1.4921) q[11];\nry(1.3125) q[12];\ncrx(0.618) q[12], q[0];\ncrx(0.0812) q[11], q[12];\ncrx(-0.0437) q[10], q[11];\ncrx(0.2837) q[9], q[10];\ncrx(1.4724) q[8], q[9];\ncrx(-0.7368) q[7], q[8];\ncrx(0.8905) q[6], q[7];\ncrx(1.3064) q[5], q[6];\ncrx(0.8241) q[4], q[5];\ncrx(0.4305) q[3], q[4];\ncrx(0.776) q[2], q[3];\ncrx(1.0125) q[1], q[2];\ncrx(0.4668) q[0], q[1];\nry(1.4998) q[0];\nry(1.4928) q[1];\nry(1.4826) q[2];\nry(1.4946) q[3];\nry(0.485) q[4];\nry(1.4851) q[5];\nry(1.4868) q[6];\nry(1.4917) q[7];\nry(0.251) q[8];\nry(0.2573) q[9];\nry(1.4964) q[10];\nry(1.4829) q[11];\nry(1.2736) q[12];\ncrx(1.3431) q[12], q[11];\ncrx(0.3988) q[0], q[12];\ncrx(0.4647) q[0], q[1];\ncrx(0.3136) q[1], q[2];\ncrx(0.4262) q[2], q[3];\ncrx(0.2682) q[3], q[4];\ncrx(0.6842) q[4], q[5];\ncrx(0.8476) q[5], q[6];\ncrx(0.6438) q[6], q[7];\ncrx(0.1006) q[7], q[8];\ncrx(0.1429) q[8], q[9];\ncrx(1.1043) q[9], q[10];\ncrx(1.4753) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\ncrx(x13) q[12], q[0];\ncrx(x14) q[11], q[12];\ncrx(x15) q[10], q[11];\ncrx(x16) q[9], q[10];\ncrx(x17) q[8], q[9];\ncrx(x18) q[7], q[8];\ncrx(x19) q[6], q[7];\ncrx(x20) q[5], q[6];\ncrx(x21) q[4], q[5];\ncrx(x22) q[3], q[4];\ncrx(x23) q[2], q[3];\ncrx(x24) q[1], q[2];\ncrx(x25) q[0], q[1];\nry(x26) q[0];\nry(x27) q[1];\nry(x28) q[2];\nry(x29) q[3];\nry(x30) q[4];\nry(x31) q[5];\nry(x32) q[6];\nry(x33) q[7];\nry(x34) q[8];\nry(x35) q[9];\nry(x36) q[10];\nry(x37) q[11];\nry(x38) q[12];\ncrx(x39) q[12], q[11];\ncrx(x40) q[0], q[12];\ncrx(x41) q[0], q[1];\ncrx(x42) q[1], q[2];\ncrx(x43) q[2], q[3];\ncrx(x44) q[3], q[4];\ncrx(x45) q[4], q[5];\ncrx(x46) q[5], q[6];\ncrx(x47) q[6], q[7];\ncrx(x48) q[7], q[8];\ncrx(x49) q[8], q[9];\ncrx(x50) q[9], q[10];\ncrx(x51) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"circuits\": [], \"gradients\": []}"]
["833c89e8aca800e5707fb47ea63f9088","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}]}","{\"states\": [0, 4], \"expectation_value\": -2.9959815914125336, \"params\": null, \"bitstrings\": [\"11111\", \"11011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.003927302792350724, 0.9960139005851092], \"optimization_time\": 5.542099714279175}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4)",1,5,3,"{\"smallest_eigenvalues\": [-3.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"11011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[0];\nry(-1.5486) q[4];\nry(-1.4449) q[1];\nry(-1.4449) q[3];\nry(1.4449) q[2];\ncry(-0.1187) q[2], q[3];\ncry(-0.1187) q[2], q[1];\ncry(-0.021) q[2], q[4];\ncry(-0.021) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[4];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[4];\\nry(-1.4449) q[1];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[4];\\nry(-1.4449) q[1];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[4];\\nry(-1.4449) q[1];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-0.1187) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[4];\\nry(-1.4449) q[1];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-0.1187) q[2], q[3];\\ncry(-0.1187) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[4];\\nry(-1.4449) q[1];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-0.1187) q[2], q[3];\\ncry(-0.1187) q[2], q[1];\\ncry(-0.021) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[4];\\nry(-1.4449) q[1];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-0.1187) q[2], q[3];\\ncry(-0.1187) q[2], q[1];\\ncry(-0.021) q[2], q[4];\\ncry(-0.021) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[4];\\nry(-1.4449) q[1];\\nry(-1.4449) q[3];\\nry(1.4449) q[2];\\ncry(-0.1187) q[2], q[3];\\ncry(-0.1187) q[2], q[1];\\ncry(-0.021) q[2], q[4];\\ncry(-0.021) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.7529, 0.752, 0.5001, 0.4999, 0.4999, 0.063, 0.063, 0.0116, 0.0116, 0.001]}"]
["151fc38f9e9506dbe7b8d603642ed0f4","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}]}","{\"states\": [2717, 2749], \"expectation_value\": -3.849209437587371, \"params\": [[[1.5686, 0.002], [0.0023, 1.1356000000000002], [1.5689000000000002, 0.0026000000000000003], [0.0029000000000000002, -1.1424], [1.5717, 0.0017000000000000001], [-0.0023, -1.036], [0.8457, -0.0198], [1.5557, -0.0016], [1.5724, 0.0017000000000000001], [1.5658, -0.0021000000000000003], [0.11170000000000001, 0.9266000000000001], [1.5708, 0.0029000000000000002]], [[1.5689000000000002, 0.0007], [0.0023, 0.0099], [1.5669000000000002, 0.0016], [0.0029000000000000002, 0.0005], [1.5662, 0.003], [-0.0026000000000000003, 0.01], [0.8431000000000001, 0.005200000000000001], [1.5576, 0.0066], [1.5655000000000001, 0.0022], [1.5721, 0.0034000000000000002], [0.11570000000000001, 0.0039000000000000003], [1.5668, 0.007]]], \"bitstrings\": [\"010101100010\", \"010101000010\"], \"total_optimization_steps\": 200, \"probabilities\": [0.43655505085369034, 0.5528977044976744], \"optimization_time\": 14.727740049362183}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(4) @ Z(9)) + 0.0625 * (Z(4) @ Z(10)) + 0.0625 * (Z(7) @ Z(8)) + 0.0625 * (Z(7) @ Z(9)) + 0.0625 * (Z(10) @ Z(7)) + 0.0625 * (Z(8) @ Z(9)) + 0.0625 * (Z(10) @ Z(8)) + 0.0625 * (Z(10) @ Z(9)) + -0.0625 * (Z(4) @ Z(7) @ Z(8)) + -0.0625 * (Z(4) @ Z(7) @ Z(9)) + -0.0625 * (Z(4) @ Z(10) @ Z(7)) + -0.0625 * (Z(4) @ Z(8) @ Z(9)) + -0.0625 * (Z(4) @ Z(10) @ Z(8)) + -0.0625 * (Z(4) @ Z(10) @ Z(9)) + -0.0625 * (Z(7) @ Z(8) @ Z(9)) + -0.0625 * (Z(10) @ Z(7) @ Z(8)) + -0.0625 * (Z(10) @ Z(7) @ Z(9)) + -0.0625 * (Z(10) @ Z(8) @ Z(9)) + 0.0625 * (Z(4) @ Z(7) @ Z(8) @ Z(9)) + 0.0625 * (Z(4) @ Z(10) @ Z(7) @ Z(8)) + 0.0625 * (Z(4) @ Z(10) @ Z(7) @ Z(9)) + 0.0625 * (Z(4) @ Z(10) @ Z(8) @ Z(9)) + 0.0625 * (Z(10) @ Z(7) @ Z(8) @ Z(9)) + -0.0625 * (Z(7) @ Z(10) @ Z(4) @ Z(9) @ Z(8)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(11) @ Z(5)) + 0.25 * (Z(11) @ Z(7)) + -0.25 * (Z(11) @ Z(5) @ Z(7)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(8)) + -0.25 * (Z(11) @ Z(8) @ Z(3)) + 0.5 * (Z(9) @ Z(1)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(10)) + 0.25 * (Z(10) @ Z(6)) + -0.25 * (Z(2) @ Z(6) @ Z(10)) + -0.25 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + 0.1875 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + 0.1875 * Z(7) + 0.1875 * Z(8) + -0.0625 * Z(9) + 0.1875 * Z(10) + 0.0 * Z(11)",1,12,2,"{\"smallest_eigenvalues\": [-4.3125, -4.3125, -4.3125, -4.3125], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.3125, \"smallest_bitstrings\": [\"010100110000\", \"001101000100\", \"100000100101\", \"010101000010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(1.5686) q[0];\nrz(0.002) q[0];\nrx(0.0023) q[1];\nrz(1.1356) q[1];\nrx(1.5689) q[2];\nrz(0.0026) q[2];\nrx(0.0029) q[3];\nrz(-1.1424) q[3];\nrx(1.5717) q[4];\nrz(0.0017) q[4];\nrx(-0.0023) q[5];\nrz(-1.036) q[5];\nrx(0.8457) q[6];\nrz(-0.0198) q[6];\nrx(1.5557) q[7];\nrz(-0.0016) q[7];\nrx(1.5724) q[8];\nrz(0.0017) q[8];\nrx(1.5658) q[9];\nrz(-0.0021) q[9];\nrx(0.1117) q[10];\nrz(0.9266) q[10];\nrx(1.5708) q[11];\nrz(0.0029) q[11];\nrx(1.5689) q[0];\nrz(0.0007) q[0];\nrx(0.0023) q[1];\nrz(0.0099) q[1];\nrx(1.5669) q[2];\nrz(0.0016) q[2];\nrx(0.0029) q[3];\nrz(0.0005) q[3];\nrx(1.5662) q[4];\nrz(0.003) q[4];\nrx(-0.0026) q[5];\nrz(0.01) q[5];\nrx(0.8431) q[6];\nrz(0.0052) q[6];\nrx(1.5576) q[7];\nrz(0.0066) q[7];\nrx(1.5655) q[8];\nrz(0.0022) q[8];\nrx(1.5721) q[9];\nrz(0.0034) q[9];\nrx(0.1157) q[10];\nrz(0.0039) q[10];\nrx(1.5668) q[11];\nrz(0.007) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x9) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nrx(x19) q[10];\nrz(x20) q[10];\nrx(x21) q[11];\nrz(x6) q[11];\nrx(x4) q[0];\nrz(x22) q[0];\nrx(x2) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x6) q[3];\nrz(x26) q[3];\nrx(x27) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x30) q[5];\nrx(x31) q[6];\nrz(x32) q[6];\nrx(x33) q[7];\nrz(x34) q[7];\nrx(x35) q[8];\nrz(x36) q[8];\nrx(x37) q[9];\nrz(x38) q[9];\nrx(x39) q[10];\nrz(x40) q[10];\nrx(x41) q[11];\nrz(x42) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["717427729600501566","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[1, 4], [0, 1, 2, 3, 5, 6], [8, 0, 3], [8, 0, 5], [0, 4, 6], [6, 7]]}","{\"states\": [378, 453], \"expectation_value\": -0.04559214707615375, \"params\": [[-0.06720000000000001], [0.07200000000000001]], \"bitstrings\": [\"010000101\", \"000111010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002096265315276226, 0.0020963596888606576], \"optimization_time\": 5.031919240951538}","0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.19999999999999998 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.19999999999999998 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.19999999999999998 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666663 * Z(4) + 0.08333333333333326 * Z(1) + 0.5833333333333333 * Z(0) + 0.08333333333333333 * Z(2) + 0.25 * Z(3) + 0.25 * Z(5) + 0.25 * Z(6) + 0.3333333333333333 * Z(8) + 0.0 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-2.2], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.1999999999999997, \"smallest_bitstrings\": [\"000111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[1];\nrz(-0.0672) q[1];\ncx q[4], q[1];\ncx q[4], q[0];\nrz(-0.0224) q[0];\ncx q[4], q[0];\ncx q[1], q[0];\nrz(-0.0045) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0045) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0045) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0045) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0269) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0045) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(-0.0045) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0269) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0045) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0045) q[5];\ncx q[3], q[5];\ncx q[4], q[6];\nrz(-0.0224) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(-0.0045) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(-0.0269) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0045) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.0045) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.0045) q[6];\ncx q[5], q[6];\ncx q[0], q[8];\nrz(-0.0448) q[8];\ncx q[0], q[8];\ncx q[3], q[8];\nrz(-0.0224) q[8];\ncx q[3], q[8];\ncx q[5], q[8];\nrz(-0.0224) q[8];\ncx q[5], q[8];\ncx q[6], q[7];\nrz(-0.0672) q[7];\ncx q[6], q[7];\nrz(-0.0224) q[4];\nrz(-0.0112) q[1];\nrz(-0.0784) q[0];\nrz(-0.0112) q[2];\nrz(-0.0336) q[3];\nrz(-0.0336) q[5];\nrz(-0.0336) q[6];\nrz(-0.0448) q[8];\nrz(0) q[7];\nh q[0];\nrz(0.144) q[0];\nh q[0];\nh q[1];\nrz(0.144) q[1];\nh q[1];\nh q[2];\nrz(0.144) q[2];\nh q[2];\nh q[3];\nrz(0.144) q[3];\nh q[3];\nh q[4];\nrz(0.144) q[4];\nh q[4];\nh q[5];\nrz(0.144) q[5];\nh q[5];\nh q[6];\nrz(0.144) q[6];\nh q[6];\nh q[7];\nrz(0.144) q[7];\nh q[7];\nh q[8];\nrz(0.144) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[4], q[0];\nrz(x1) q[0];\ncx q[4], q[0];\ncx q[1], q[0];\nrz(x2) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x2) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x3) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x2) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x2) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[0], q[8];\nrz(x4) q[8];\ncx q[0], q[8];\ncx q[3], q[8];\nrz(x1) q[8];\ncx q[3], q[8];\ncx q[5], q[8];\nrz(x1) q[8];\ncx q[5], q[8];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[4];\nrz(x5) q[1];\nrz(x6) q[0];\nrz(x5) q[2];\nrz(x7) q[3];\nrz(x7) q[5];\nrz(x7) q[6];\nrz(x4) q[8];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["6cfd499277502d6e85a2cad6ec018ed8","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 4}, {\"weight\": 19, \"source\": 0, \"target\": 5}, {\"weight\": 12, \"source\": 0, \"target\": 6}, {\"weight\": 10, \"source\": 1, \"target\": 5}, {\"weight\": 18, \"source\": 1, \"target\": 8}, {\"weight\": 4, \"source\": 2, \"target\": 6}, {\"weight\": 18, \"source\": 2, \"target\": 8}, {\"weight\": 2, \"source\": 3, \"target\": 7}, {\"weight\": 20, \"source\": 3, \"target\": 8}]}","{\"states\": [245, 213], \"expectation_value\": -73.98235665670862, \"params\": [0.0858, 0.2059, 0.08710000000000001, 0.19790000000000002, 0.4927, -0.055600000000000004, 0.4937, -0.0388, 0.4933, -0.045000000000000005, 0.49960000000000004, -0.0238, 0.2604, 0.1179, 0.2635, 0.113, 0.4929, -0.0979, 0.4879, -0.061200000000000004, 0.0971, 0.07730000000000001, 0.0925, -0.030600000000000002, 0.4973, -0.0577, 0.49460000000000004, -0.020200000000000003, 0.004200000000000001, 0.2776, -0.0007, 0.2864, 0.4929, -0.0713, 0.49810000000000004, -0.038900000000000004, 0.0869, 0.2029, 0.0889, 0.1951, 0.49620000000000003, -0.026500000000000003, 0.49710000000000004, -0.0303, 0.4988, -0.013000000000000001, 0.4934, -0.0179, 0.2627, 0.1174, 0.2586, 0.1165, 0.4949, -0.033, 0.4939, -0.0557, 0.10020000000000001, -0.0806, 0.0999, -0.14400000000000002, 0.49210000000000004, -0.0027, 0.4893, -0.013800000000000002, 0.0002, 0.29100000000000004, -0.0032, 0.2894, 0.496, -0.0098, 0.4979, -0.022500000000000003, 0.0839, 0.19210000000000002, 0.0956, 0.005, 0.4927, -0.054400000000000004, 0.4953, 0.009300000000000001, 0.4999, -0.0201, 0.501, 0.007, 0.26130000000000003, 0.12350000000000001, 0.2636, 0.0019, 0.49420000000000003, -0.08940000000000001, 0.4928, 0.007200000000000001, 0.0936, -0.1642, 0.0993, 0.0009000000000000001, 0.4927, -0.015300000000000001, 0.4944, 0.0031000000000000003, 0.0041, 0.3017, 0.003, 0.0056, 0.4948, -0.0327, 0.4899, 0.0061, 0.097, -0.09970000000000001, -0.1034, 0.0362, -0.0724, -0.0724, -0.1041, -0.08560000000000001, -0.0767, 0.1653, 0.0167, 0.0031000000000000003, 0.09340000000000001, 0.0117, -0.1096, -0.0016, -0.1105, -0.0056, 0.1908, 0.018000000000000002, -0.0016, 0.1472, 0.0887, -0.16690000000000002, 0.0007, -0.1003, 0.0103], \"bitstrings\": [\"100001010\", \"100101010\"], \"total_optimization_steps\": 50, \"probabilities\": [0.30334680736017844, 0.567629494324481], \"optimization_time\": 139.60336661338806}","5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 0.5 * Z(0) + 11.0 * Z(2) + 5.0 * Z(3) + 14.0 * Z(4) + 2.0 * Z(5) + 14.0 * Z(6) + 15.0 * Z(8) + -4.0 * Z(7)",5,9,3,"{\"smallest_eigenvalues\": [-80.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -72.0, \"smallest_bitstrings\": [\"100101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.0858) q[0];\nrz(0.2059) q[0];\nrx(0.4927) q[1];\nrz(-0.0556) q[1];\nrx(0.4933) q[2];\nrz(-0.045) q[2];\nrx(0.2604) q[3];\nrz(0.1179) q[3];\nrx(0.4929) q[4];\nrz(-0.0979) q[4];\nrx(0.0971) q[5];\nrz(0.0773) q[5];\nrx(0.4973) q[6];\nrz(-0.0577) q[6];\nrx(0.0042) q[7];\nrz(0.2776) q[7];\nrx(0.4929) q[8];\nrz(-0.0713) q[8];\ncrz(-0.0856) q[8], q[7];\ncrz(-0.1041) q[8], q[6];\ncrz(-0.0724) q[8], q[5];\ncrz(-0.0724) q[8], q[4];\ncrz(0.0362) q[8], q[3];\ncrz(-0.1034) q[8], q[2];\ncrz(-0.0997) q[8], q[1];\ncrz(0.097) q[8], q[0];\ncrz(-0.0767) q[7], q[8];\ncrz(-0.1041) q[7], q[6];\ncrz(-0.0724) q[7], q[5];\ncrz(-0.0724) q[7], q[4];\ncrz(0.0362) q[7], q[3];\ncrz(-0.1034) q[7], q[2];\ncrz(-0.0997) q[7], q[1];\ncrz(0.097) q[7], q[0];\ncrz(-0.0767) q[6], q[8];\ncrz(-0.0856) q[6], q[7];\ncrz(-0.0724) q[6], q[5];\ncrz(-0.0724) q[6], q[4];\ncrz(0.0362) q[6], q[3];\ncrz(-0.1034) q[6], q[2];\ncrz(-0.0997) q[6], q[1];\ncrz(0.097) q[6], q[0];\ncrz(-0.0767) q[5], q[8];\ncrz(-0.0856) q[5], q[7];\ncrz(-0.1041) q[5], q[6];\ncrz(-0.0724) q[5], q[4];\ncrz(0.0362) q[5], q[3];\ncrz(-0.1034) q[5], q[2];\ncrz(-0.0997) q[5], q[1];\ncrz(0.097) q[5], q[0];\ncrz(-0.0767) q[4], q[8];\ncrz(-0.0856) q[4], q[7];\ncrz(-0.1041) q[4], q[6];\ncrz(-0.0724) q[4], q[5];\ncrz(0.0362) q[4], q[3];\ncrz(-0.1034) q[4], q[2];\ncrz(-0.0997) q[4], q[1];\ncrz(0.097) q[4], q[0];\ncrz(-0.0767) q[3], q[8];\ncrz(-0.0856) q[3], q[7];\ncrz(-0.1041) q[3], q[6];\ncrz(-0.0724) q[3], q[5];\ncrz(-0.0724) q[3], q[4];\ncrz(-0.1034) q[3], q[2];\ncrz(-0.0997) q[3], q[1];\ncrz(0.097) q[3], q[0];\ncrz(-0.0767) q[2], q[8];\ncrz(-0.0856) q[2], q[7];\ncrz(-0.1041) q[2], q[6];\ncrz(-0.0724) q[2], q[5];\ncrz(-0.0724) q[2], q[4];\ncrz(0.0362) q[2], q[3];\ncrz(-0.0997) q[2], q[1];\ncrz(0.097) q[2], q[0];\ncrz(-0.0767) q[1], q[8];\ncrz(-0.0856) q[1], q[7];\ncrz(-0.1041) q[1], q[6];\ncrz(-0.0724) q[1], q[5];\ncrz(-0.0724) q[1], q[4];\ncrz(0.0362) q[1], q[3];\ncrz(-0.1034) q[1], q[2];\ncrz(0.097) q[1], q[0];\ncrz(-0.0767) q[0], q[8];\ncrz(-0.0856) q[0], q[7];\ncrz(-0.1041) q[0], q[6];\ncrz(-0.0724) q[0], q[5];\ncrz(-0.0724) q[0], q[4];\ncrz(0.0362) q[0], q[3];\ncrz(-0.1034) q[0], q[2];\ncrz(-0.0997) q[0], q[1];\nrx(0.0871) q[0];\nrz(0.1979) q[0];\nrx(0.4937) q[1];\nrz(-0.0388) q[1];\nrx(0.4996) q[2];\nrz(-0.0238) q[2];\nrx(0.2635) q[3];\nrz(0.113) q[3];\nrx(0.4879) q[4];\nrz(-0.0612) q[4];\nrx(0.0925) q[5];\nrz(-0.0306) q[5];\nrx(0.4946) q[6];\nrz(-0.0202) q[6];\nrx(-0.0007) q[7];\nrz(0.2864) q[7];\nrx(0.4981) q[8];\nrz(-0.0389) q[8];\nrx(0.0869) q[0];\nrz(0.2029) q[0];\nrx(0.4962) q[1];\nrz(-0.0265) q[1];\nrx(0.4988) q[2];\nrz(-0.013) q[2];\nrx(0.2627) q[3];\nrz(0.1174) q[3];\nrx(0.4949) q[4];\nrz(-0.033) q[4];\nrx(0.1002) q[5];\nrz(-0.0806) q[5];\nrx(0.4921) q[6];\nrz(-0.0027) q[6];\nrx(0.0002) q[7];\nrz(0.291) q[7];\nrx(0.496) q[8];\nrz(-0.0098) q[8];\ncrz(-0.1105) q[8], q[7];\ncrz(-0.0016) q[8], q[6];\ncrz(-0.1096) q[8], q[5];\ncrz(0.0117) q[8], q[4];\ncrz(0.0934) q[8], q[3];\ncrz(0.0031) q[8], q[2];\ncrz(0.0167) q[8], q[1];\ncrz(0.1653) q[8], q[0];\ncrz(-0.0056) q[7], q[8];\ncrz(-0.0016) q[7], q[6];\ncrz(-0.1096) q[7], q[5];\ncrz(0.0117) q[7], q[4];\ncrz(0.0934) q[7], q[3];\ncrz(0.0031) q[7], q[2];\ncrz(0.0167) q[7], q[1];\ncrz(0.1653) q[7], q[0];\ncrz(-0.0056) q[6], q[8];\ncrz(-0.1105) q[6], q[7];\ncrz(-0.1096) q[6], q[5];\ncrz(0.0117) q[6], q[4];\ncrz(0.0934) q[6], q[3];\ncrz(0.0031) q[6], q[2];\ncrz(0.0167) q[6], q[1];\ncrz(0.1653) q[6], q[0];\ncrz(-0.0056) q[5], q[8];\ncrz(-0.1105) q[5], q[7];\ncrz(-0.0016) q[5], q[6];\ncrz(0.0117) q[5], q[4];\ncrz(0.0934) q[5], q[3];\ncrz(0.0031) q[5], q[2];\ncrz(0.0167) q[5], q[1];\ncrz(0.1653) q[5], q[0];\ncrz(-0.0056) q[4], q[8];\ncrz(-0.1105) q[4], q[7];\ncrz(-0.0016) q[4], q[6];\ncrz(-0.1096) q[4], q[5];\ncrz(0.0934) q[4], q[3];\ncrz(0.0031) q[4], q[2];\ncrz(0.0167) q[4], q[1];\ncrz(0.1653) q[4], q[0];\ncrz(-0.0056) q[3], q[8];\ncrz(-0.1105) q[3], q[7];\ncrz(-0.0016) q[3], q[6];\ncrz(-0.1096) q[3], q[5];\ncrz(0.0117) q[3], q[4];\ncrz(0.0031) q[3], q[2];\ncrz(0.0167) q[3], q[1];\ncrz(0.1653) q[3], q[0];\ncrz(-0.0056) q[2], q[8];\ncrz(-0.1105) q[2], q[7];\ncrz(-0.0016) q[2], q[6];\ncrz(-0.1096) q[2], q[5];\ncrz(0.0117) q[2], q[4];\ncrz(0.0934) q[2], q[3];\ncrz(0.0167) q[2], q[1];\ncrz(0.1653) q[2], q[0];\ncrz(-0.0056) q[1], q[8];\ncrz(-0.1105) q[1], q[7];\ncrz(-0.0016) q[1], q[6];\ncrz(-0.1096) q[1], q[5];\ncrz(0.0117) q[1], q[4];\ncrz(0.0934) q[1], q[3];\ncrz(0.0031) q[1], q[2];\ncrz(0.1653) q[1], q[0];\ncrz(-0.0056) q[0], q[8];\ncrz(-0.1105) q[0], q[7];\ncrz(-0.0016) q[0], q[6];\ncrz(-0.1096) q[0], q[5];\ncrz(0.0117) q[0], q[4];\ncrz(0.0934) q[0], q[3];\ncrz(0.0031) q[0], q[2];\ncrz(0.0167) q[0], q[1];\nrx(0.0889) q[0];\nrz(0.1951) q[0];\nrx(0.4971) q[1];\nrz(-0.0303) q[1];\nrx(0.4934) q[2];\nrz(-0.0179) q[2];\nrx(0.2586) q[3];\nrz(0.1165) q[3];\nrx(0.4939) q[4];\nrz(-0.0557) q[4];\nrx(0.0999) q[5];\nrz(-0.144) q[5];\nrx(0.4893) q[6];\nrz(-0.0138) q[6];\nrx(-0.0032) q[7];\nrz(0.2894) q[7];\nrx(0.4979) q[8];\nrz(-0.0225) q[8];\nrx(0.0839) q[0];\nrz(0.1921) q[0];\nrx(0.4927) q[1];\nrz(-0.0544) q[1];\nrx(0.4999) q[2];\nrz(-0.0201) q[2];\nrx(0.2613) q[3];\nrz(0.1235) q[3];\nrx(0.4942) q[4];\nrz(-0.0894) q[4];\nrx(0.0936) q[5];\nrz(-0.1642) q[5];\nrx(0.4927) q[6];\nrz(-0.0153) q[6];\nrx(0.0041) q[7];\nrz(0.3017) q[7];\nrx(0.4948) q[8];\nrz(-0.0327) q[8];\ncrz(-0.1003) q[8], q[7];\ncrz(0.0007) q[8], q[6];\ncrz(-0.1669) q[8], q[5];\ncrz(0.0887) q[8], q[4];\ncrz(0.1472) q[8], q[3];\ncrz(-0.0016) q[8], q[2];\ncrz(0.018) q[8], q[1];\ncrz(0.1908) q[8], q[0];\ncrz(0.0103) q[7], q[8];\ncrz(0.0007) q[7], q[6];\ncrz(-0.1669) q[7], q[5];\ncrz(0.0887) q[7], q[4];\ncrz(0.1472) q[7], q[3];\ncrz(-0.0016) q[7], q[2];\ncrz(0.018) q[7], q[1];\ncrz(0.1908) q[7], q[0];\ncrz(0.0103) q[6], q[8];\ncrz(-0.1003) q[6], q[7];\ncrz(-0.1669) q[6], q[5];\ncrz(0.0887) q[6], q[4];\ncrz(0.1472) q[6], q[3];\ncrz(-0.0016) q[6], q[2];\ncrz(0.018) q[6], q[1];\ncrz(0.1908) q[6], q[0];\ncrz(0.0103) q[5], q[8];\ncrz(-0.1003) q[5], q[7];\ncrz(0.0007) q[5], q[6];\ncrz(0.0887) q[5], q[4];\ncrz(0.1472) q[5], q[3];\ncrz(-0.0016) q[5], q[2];\ncrz(0.018) q[5], q[1];\ncrz(0.1908) q[5], q[0];\ncrz(0.0103) q[4], q[8];\ncrz(-0.1003) q[4], q[7];\ncrz(0.0007) q[4], q[6];\ncrz(-0.1669) q[4], q[5];\ncrz(0.1472) q[4], q[3];\ncrz(-0.0016) q[4], q[2];\ncrz(0.018) q[4], q[1];\ncrz(0.1908) q[4], q[0];\ncrz(0.0103) q[3], q[8];\ncrz(-0.1003) q[3], q[7];\ncrz(0.0007) q[3], q[6];\ncrz(-0.1669) q[3], q[5];\ncrz(0.0887) q[3], q[4];\ncrz(-0.0016) q[3], q[2];\ncrz(0.018) q[3], q[1];\ncrz(0.1908) q[3], q[0];\ncrz(0.0103) q[2], q[8];\ncrz(-0.1003) q[2], q[7];\ncrz(0.0007) q[2], q[6];\ncrz(-0.1669) q[2], q[5];\ncrz(0.0887) q[2], q[4];\ncrz(0.1472) q[2], q[3];\ncrz(0.018) q[2], q[1];\ncrz(0.1908) q[2], q[0];\ncrz(0.0103) q[1], q[8];\ncrz(-0.1003) q[1], q[7];\ncrz(0.0007) q[1], q[6];\ncrz(-0.1669) q[1], q[5];\ncrz(0.0887) q[1], q[4];\ncrz(0.1472) q[1], q[3];\ncrz(-0.0016) q[1], q[2];\ncrz(0.1908) q[1], q[0];\ncrz(0.0103) q[0], q[8];\ncrz(-0.1003) q[0], q[7];\ncrz(0.0007) q[0], q[6];\ncrz(-0.1669) q[0], q[5];\ncrz(0.0887) q[0], q[4];\ncrz(0.1472) q[0], q[3];\ncrz(-0.0016) q[0], q[2];\ncrz(0.018) q[0], q[1];\nrx(0.0956) q[0];\nrz(0.005) q[0];\nrx(0.4953) q[1];\nrz(0.0093) q[1];\nrx(0.501) q[2];\nrz(0.007) q[2];\nrx(0.2636) q[3];\nrz(0.0019) q[3];\nrx(0.4928) q[4];\nrz(0.0072) q[4];\nrx(0.0993) q[5];\nrz(0.0009) q[5];\nrx(0.4944) q[6];\nrz(0.0031) q[6];\nrx(0.003) q[7];\nrz(0.0056) q[7];\nrx(0.4899) q[8];\nrz(0.0061) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x8) q[8];\nrz(x16) q[8];\ncrz(x17) q[8], q[7];\ncrz(x18) q[8], q[6];\ncrz(x19) q[8], q[5];\ncrz(x19) q[8], q[4];\ncrz(x20) q[8], q[3];\ncrz(x21) q[8], q[2];\ncrz(x22) q[8], q[1];\ncrz(x23) q[8], q[0];\ncrz(x24) q[7], q[8];\ncrz(x18) q[7], q[6];\ncrz(x19) q[7], q[5];\ncrz(x19) q[7], q[4];\ncrz(x20) q[7], q[3];\ncrz(x21) q[7], q[2];\ncrz(x22) q[7], q[1];\ncrz(x23) q[7], q[0];\ncrz(x24) q[6], q[8];\ncrz(x17) q[6], q[7];\ncrz(x19) q[6], q[5];\ncrz(x19) q[6], q[4];\ncrz(x20) q[6], q[3];\ncrz(x21) q[6], q[2];\ncrz(x22) q[6], q[1];\ncrz(x23) q[6], q[0];\ncrz(x24) q[5], q[8];\ncrz(x17) q[5], q[7];\ncrz(x18) q[5], q[6];\ncrz(x19) q[5], q[4];\ncrz(x20) q[5], q[3];\ncrz(x21) q[5], q[2];\ncrz(x22) q[5], q[1];\ncrz(x23) q[5], q[0];\ncrz(x24) q[4], q[8];\ncrz(x17) q[4], q[7];\ncrz(x18) q[4], q[6];\ncrz(x19) q[4], q[5];\ncrz(x20) q[4], q[3];\ncrz(x21) q[4], q[2];\ncrz(x22) q[4], q[1];\ncrz(x23) q[4], q[0];\ncrz(x24) q[3], q[8];\ncrz(x17) q[3], q[7];\ncrz(x18) q[3], q[6];\ncrz(x19) q[3], q[5];\ncrz(x19) q[3], q[4];\ncrz(x21) q[3], q[2];\ncrz(x22) q[3], q[1];\ncrz(x23) q[3], q[0];\ncrz(x24) q[2], q[8];\ncrz(x17) q[2], q[7];\ncrz(x18) q[2], q[6];\ncrz(x19) q[2], q[5];\ncrz(x19) q[2], q[4];\ncrz(x20) q[2], q[3];\ncrz(x22) q[2], q[1];\ncrz(x23) q[2], q[0];\ncrz(x24) q[1], q[8];\ncrz(x17) q[1], q[7];\ncrz(x18) q[1], q[6];\ncrz(x19) q[1], q[5];\ncrz(x19) q[1], q[4];\ncrz(x20) q[1], q[3];\ncrz(x21) q[1], q[2];\ncrz(x23) q[1], q[0];\ncrz(x24) q[0], q[8];\ncrz(x17) q[0], q[7];\ncrz(x18) q[0], q[6];\ncrz(x19) q[0], q[5];\ncrz(x19) q[0], q[4];\ncrz(x20) q[0], q[3];\ncrz(x21) q[0], q[2];\ncrz(x22) q[0], q[1];\nrx(x25) q[0];\nrz(x26) q[0];\nrx(x27) q[1];\nrz(x28) q[1];\nrx(x29) q[2];\nrz(x30) q[2];\nrx(x31) q[3];\nrz(x32) q[3];\nrx(x33) q[4];\nrz(x34) q[4];\nrx(x35) q[5];\nrz(x36) q[5];\nrx(x37) q[6];\nrz(x38) q[6];\nrx(x39) q[7];\nrz(x40) q[7];\nrx(x41) q[8];\nrz(x42) q[8];\nrx(x43) q[0];\nrz(x44) q[0];\nrx(x45) q[1];\nrz(x46) q[1];\nrx(x47) q[2];\nrz(x48) q[2];\nrx(x49) q[3];\nrz(x50) q[3];\nrx(x51) q[4];\nrz(x52) q[4];\nrx(x53) q[5];\nrz(x54) q[5];\nrx(x55) q[6];\nrz(x56) q[6];\nrx(x57) q[7];\nrz(x58) q[7];\nrx(x59) q[8];\nrz(x60) q[8];\ncrz(x61) q[8], q[7];\ncrz(x62) q[8], q[6];\ncrz(x63) q[8], q[5];\ncrz(x64) q[8], q[4];\ncrz(x65) q[8], q[3];\ncrz(x66) q[8], q[2];\ncrz(x67) q[8], q[1];\ncrz(x68) q[8], q[0];\ncrz(x69) q[7], q[8];\ncrz(x62) q[7], q[6];\ncrz(x63) q[7], q[5];\ncrz(x64) q[7], q[4];\ncrz(x65) q[7], q[3];\ncrz(x66) q[7], q[2];\ncrz(x67) q[7], q[1];\ncrz(x68) q[7], q[0];\ncrz(x69) q[6], q[8];\ncrz(x61) q[6], q[7];\ncrz(x63) q[6], q[5];\ncrz(x64) q[6], q[4];\ncrz(x65) q[6], q[3];\ncrz(x66) q[6], q[2];\ncrz(x67) q[6], q[1];\ncrz(x68) q[6], q[0];\ncrz(x69) q[5], q[8];\ncrz(x61) q[5], q[7];\ncrz(x62) q[5], q[6];\ncrz(x64) q[5], q[4];\ncrz(x65) q[5], q[3];\ncrz(x66) q[5], q[2];\ncrz(x67) q[5], q[1];\ncrz(x68) q[5], q[0];\ncrz(x69) q[4], q[8];\ncrz(x61) q[4], q[7];\ncrz(x62) q[4], q[6];\ncrz(x63) q[4], q[5];\ncrz(x65) q[4], q[3];\ncrz(x66) q[4], q[2];\ncrz(x67) q[4], q[1];\ncrz(x68) q[4], q[0];\ncrz(x69) q[3], q[8];\ncrz(x61) q[3], q[7];\ncrz(x62) q[3], q[6];\ncrz(x63) q[3], q[5];\ncrz(x64) q[3], q[4];\ncrz(x66) q[3], q[2];\ncrz(x67) q[3], q[1];\ncrz(x68) q[3], q[0];\ncrz(x69) q[2], q[8];\ncrz(x61) q[2], q[7];\ncrz(x62) q[2], q[6];\ncrz(x63) q[2], q[5];\ncrz(x64) q[2], q[4];\ncrz(x65) q[2], q[3];\ncrz(x67) q[2], q[1];\ncrz(x68) q[2], q[0];\ncrz(x69) q[1], q[8];\ncrz(x61) q[1], q[7];\ncrz(x62) q[1], q[6];\ncrz(x63) q[1], q[5];\ncrz(x64) q[1], q[4];\ncrz(x65) q[1], q[3];\ncrz(x66) q[1], q[2];\ncrz(x68) q[1], q[0];\ncrz(x69) q[0], q[8];\ncrz(x61) q[0], q[7];\ncrz(x62) q[0], q[6];\ncrz(x63) q[0], q[5];\ncrz(x64) q[0], q[4];\ncrz(x65) q[0], q[3];\ncrz(x66) q[0], q[2];\ncrz(x67) q[0], q[1];\nrx(x70) q[0];\nrz(x71) q[0];\nrx(x72) q[1];\nrz(x73) q[1];\nrx(x74) q[2];\nrz(x75) q[2];\nrx(x76) q[3];\nrz(x77) q[3];\nrx(x78) q[4];\nrz(x79) q[4];\nrx(x80) q[5];\nrz(x81) q[5];\nrx(x82) q[6];\nrz(x83) q[6];\nrx(x84) q[7];\nrz(x85) q[7];\nrx(x86) q[8];\nrz(x87) q[8];\nrx(x88) q[0];\nrz(x89) q[0];\nrx(x2) q[1];\nrz(x90) q[1];\nrx(x91) q[2];\nrz(x92) q[2];\nrx(x93) q[3];\nrz(x94) q[3];\nrx(x95) q[4];\nrz(x96) q[4];\nrx(x97) q[5];\nrz(x98) q[5];\nrx(x2) q[6];\nrz(x99) q[6];\nrx(x100) q[7];\nrz(x101) q[7];\nrx(x102) q[8];\nrz(x103) q[8];\ncrz(x104) q[8], q[7];\ncrz(x105) q[8], q[6];\ncrz(x106) q[8], q[5];\ncrz(x107) q[8], q[4];\ncrz(x108) q[8], q[3];\ncrz(x62) q[8], q[2];\ncrz(x109) q[8], q[1];\ncrz(x110) q[8], q[0];\ncrz(x111) q[7], q[8];\ncrz(x105) q[7], q[6];\ncrz(x106) q[7], q[5];\ncrz(x107) q[7], q[4];\ncrz(x108) q[7], q[3];\ncrz(x62) q[7], q[2];\ncrz(x109) q[7], q[1];\ncrz(x110) q[7], q[0];\ncrz(x111) q[6], q[8];\ncrz(x104) q[6], q[7];\ncrz(x106) q[6], q[5];\ncrz(x107) q[6], q[4];\ncrz(x108) q[6], q[3];\ncrz(x62) q[6], q[2];\ncrz(x109) q[6], q[1];\ncrz(x110) q[6], q[0];\ncrz(x111) q[5], q[8];\ncrz(x104) q[5], q[7];\ncrz(x105) q[5], q[6];\ncrz(x107) q[5], q[4];\ncrz(x108) q[5], q[3];\ncrz(x62) q[5], q[2];\ncrz(x109) q[5], q[1];\ncrz(x110) q[5], q[0];\ncrz(x111) q[4], q[8];\ncrz(x104) q[4], q[7];\ncrz(x105) q[4], q[6];\ncrz(x106) q[4], q[5];\ncrz(x108) q[4], q[3];\ncrz(x62) q[4], q[2];\ncrz(x109) q[4], q[1];\ncrz(x110) q[4], q[0];\ncrz(x111) q[3], q[8];\ncrz(x104) q[3], q[7];\ncrz(x105) q[3], q[6];\ncrz(x106) q[3], q[5];\ncrz(x107) q[3], q[4];\ncrz(x62) q[3], q[2];\ncrz(x109) q[3], q[1];\ncrz(x110) q[3], q[0];\ncrz(x111) q[2], q[8];\ncrz(x104) q[2], q[7];\ncrz(x105) q[2], q[6];\ncrz(x106) q[2], q[5];\ncrz(x107) q[2], q[4];\ncrz(x108) q[2], q[3];\ncrz(x109) q[2], q[1];\ncrz(x110) q[2], q[0];\ncrz(x111) q[1], q[8];\ncrz(x104) q[1], q[7];\ncrz(x105) q[1], q[6];\ncrz(x106) q[1], q[5];\ncrz(x107) q[1], q[4];\ncrz(x108) q[1], q[3];\ncrz(x62) q[1], q[2];\ncrz(x110) q[1], q[0];\ncrz(x111) q[0], q[8];\ncrz(x104) q[0], q[7];\ncrz(x105) q[0], q[6];\ncrz(x106) q[0], q[5];\ncrz(x107) q[0], q[4];\ncrz(x108) q[0], q[3];\ncrz(x62) q[0], q[2];\ncrz(x109) q[0], q[1];\nrx(x112) q[0];\nrz(x113) q[0];\nrx(x114) q[1];\nrz(x115) q[1];\nrx(x116) q[2];\nrz(x117) q[2];\nrx(x118) q[3];\nrz(x119) q[3];\nrx(x120) q[4];\nrz(x121) q[4];\nrx(x122) q[5];\nrz(x123) q[5];\nrx(x124) q[6];\nrz(x66) q[6];\nrx(x125) q[7];\nrz(x126) q[7];\nrx(x127) q[8];\nrz(x128) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3], \\\"right_nodes\\\": [4, 5, 6, 7, 8]}\"}","{\"circuits\": [], \"gradients\": []}"]
["b301caa8ee54d69b7ea37306c72194d5","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 3}, {\"weight\": 18, \"source\": 0, \"target\": 5}, {\"weight\": 18, \"source\": 0, \"target\": 6}, {\"weight\": 18, \"source\": 0, \"target\": 7}, {\"weight\": 9, \"source\": 1, \"target\": 4}, {\"weight\": 16, \"source\": 1, \"target\": 6}, {\"weight\": 2, \"source\": 2, \"target\": 5}, {\"weight\": 12, \"source\": 2, \"target\": 4}]}","{\"states\": [214, 118], \"expectation_value\": -13.52267599729324, \"params\": [[-0.0346, -0.0194], [0.058100000000000006, 0.06280000000000001]], \"bitstrings\": [\"00101001\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.010445257055960711, 0.012147848636950977], \"optimization_time\": 2.859774112701416}","4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 7.5 * Z(0) + 13.5 * Z(3) + 18.0 * Z(1) + 18.0 * Z(2) + 8.0 * Z(5) + 4.5 * Z(4) + 6.0 * Z(6) + 1.0 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-64.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -57.0, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[3];\nrz(-0.3114) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(-0.3114) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.3114) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(-0.3114) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.3114) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.3114) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(-0.3114) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.3114) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(-0.3114) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.3114) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.3114) q[7];\ncx q[6], q[7];\nrz(-0.519) q[0];\nrz(-0.9342) q[3];\nrz(-1.2456) q[1];\nrz(-1.2456) q[2];\nrz(-0.5536) q[5];\nrz(-0.3114) q[4];\nrz(-0.4152) q[6];\nrz(-0.0692) q[7];\nh q[0];\nrz(0.1162) q[0];\nh q[0];\nh q[1];\nrz(0.1162) q[1];\nh q[1];\nh q[2];\nrz(0.1162) q[2];\nh q[2];\nh q[3];\nrz(0.1162) q[3];\nh q[3];\nh q[4];\nrz(0.1162) q[4];\nh q[4];\nh q[5];\nrz(0.1162) q[5];\nh q[5];\nh q[6];\nrz(0.1162) q[6];\nh q[6];\nh q[7];\nrz(0.1162) q[7];\nh q[7];\ncx q[0], q[3];\nrz(-0.1746) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(-0.1746) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.1746) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(-0.1746) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.1746) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.1746) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(-0.1746) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(-0.1746) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(-0.1746) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(-0.1746) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.1746) q[7];\ncx q[6], q[7];\nrz(-0.291) q[0];\nrz(-0.5238) q[3];\nrz(-0.6984) q[1];\nrz(-0.6984) q[2];\nrz(-0.3104) q[5];\nrz(-0.1746) q[4];\nrz(-0.2328) q[6];\nrz(-0.0388) q[7];\nh q[0];\nrz(0.1256) q[0];\nh q[0];\nh q[1];\nrz(0.1256) q[1];\nh q[1];\nh q[2];\nrz(0.1256) q[2];\nh q[2];\nh q[3];\nrz(0.1256) q[3];\nh q[3];\nh q[4];\nrz(0.1256) q[4];\nh q[4];\nh q[5];\nrz(0.1256) q[5];\nh q[5];\nh q[6];\nrz(0.1256) q[6];\nh q[6];\nh q[7];\nrz(0.1256) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x3) q[1];\nrz(x3) q[2];\nrz(x4) q[5];\nrz(x0) q[4];\nrz(x5) q[6];\nrz(x6) q[7];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\ncx q[0], q[3];\nrz(x8) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x8) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x8) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x8) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[5], q[4];\nrz(x8) q[4];\ncx q[5], q[4];\ncx q[4], q[6];\nrz(x8) q[6];\ncx q[4], q[6];\ncx q[1], q[7];\nrz(x8) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x8) q[7];\ncx q[6], q[7];\nrz(x9) q[0];\nrz(x10) q[3];\nrz(x11) q[1];\nrz(x11) q[2];\nrz(x12) q[5];\nrz(x8) q[4];\nrz(x13) q[6];\nrz(x14) q[7];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["b679ae34e8a07362440686ccdc7f1ca9","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 10}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 10}, {\"source\": 9, \"target\": 10}]}","{\"states\": [975, 1023], \"expectation_value\": -1.4864279208610862, \"params\": [[0.07], [-0.0752]], \"bitstrings\": [\"0000110000\", \"0000000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0016424977286985498, 0.001709264572134965], \"optimization_time\": 4.647838115692139}","-2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(9)) + -2.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + -2.0 * Z(9) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(8)",1,10,1,"{\"smallest_eigenvalues\": [-17.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.5, \"smallest_bitstrings\": [\"0000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(-0.28) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.28) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.21) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.28) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.07) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.07) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(-0.14) q[4];\ncx q[5], q[4];\ncx q[9], q[6];\nrz(-0.35) q[6];\ncx q[9], q[6];\ncx q[9], q[7];\nrz(-0.35) q[7];\ncx q[9], q[7];\ncx q[6], q[7];\nrz(0.07) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(-0.35) q[8];\ncx q[9], q[8];\ncx q[6], q[8];\nrz(0.07) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.07) q[8];\ncx q[7], q[8];\nrz(0.07) q[1];\nrz(0.07) q[0];\nrz(0.07) q[2];\nrz(0.07) q[3];\nrz(0.07) q[5];\nrz(0.07) q[4];\nrz(-0.28) q[9];\nrz(0.14) q[6];\nrz(0.14) q[7];\nrz(0.14) q[8];\nh q[0];\nrz(-0.1504) q[0];\nh q[0];\nh q[1];\nrz(-0.1504) q[1];\nh q[1];\nh q[2];\nrz(-0.1504) q[2];\nh q[2];\nh q[3];\nrz(-0.1504) q[3];\nh q[3];\nh q[4];\nrz(-0.1504) q[4];\nh q[4];\nh q[5];\nrz(-0.1504) q[5];\nh q[5];\nh q[6];\nrz(-0.1504) q[6];\nh q[6];\nh q[7];\nrz(-0.1504) q[7];\nh q[7];\nh q[8];\nrz(-0.1504) q[8];\nh q[8];\nh q[9];\nrz(-0.1504) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(x3) q[4];\ncx q[5], q[4];\ncx q[9], q[6];\nrz(x4) q[6];\ncx q[9], q[6];\ncx q[9], q[7];\nrz(x4) q[7];\ncx q[9], q[7];\ncx q[6], q[7];\nrz(x2) q[7];\ncx q[6], q[7];\ncx q[9], q[8];\nrz(x4) q[8];\ncx q[9], q[8];\ncx q[6], q[8];\nrz(x2) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x2) q[8];\ncx q[7], q[8];\nrz(x2) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x2) q[3];\nrz(x2) q[5];\nrz(x2) q[4];\nrz(x0) q[9];\nrz(x5) q[6];\nrz(x5) q[7];\nrz(x5) q[8];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\nh q[9];\nrz(x6) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 8}","{\"circuits\": [], \"gradients\": []}"]
["fadbf4becdcb820e45aa8c382a4bc97a","community_detection","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 1, \"source\": 0, \"target\": 2}, {\"weight\": 1, \"source\": 0, \"target\": 3}, {\"weight\": 1, \"source\": 0, \"target\": 5}, {\"weight\": 1, \"source\": 1, \"target\": 2}, {\"weight\": 1, \"source\": 1, \"target\": 3}, {\"weight\": 1, \"source\": 1, \"target\": 4}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 1, \"source\": 4, \"target\": 6}, {\"weight\": 1, \"source\": 4, \"target\": 7}, {\"weight\": 1, \"source\": 5, \"target\": 6}, {\"weight\": 1, \"source\": 5, \"target\": 7}, {\"weight\": 1, \"source\": 6, \"target\": 7}]}","{\"states\": [43606, 43605], \"expectation_value\": -2.015329281168404, \"params\": [0.38120000000000004, 0.3937, 0.0132, -0.0149, -1.2205000000000001, -1.1388, 0.29600000000000004, 0.305, 0.3915, 0.3912, 0.0035, -0.0131, 0.3926, 0.3899, -0.0219, 0.0223, 0.012700000000000001, 0.0012000000000000001, 0.38920000000000005, 0.38470000000000004, -0.001, 0.0099, 0.3916, 0.3905, -0.0056, -0.0196, 0.3902, 0.38680000000000003, 0.3899, 0.3748, 0.3745, 0.6018, 0.39640000000000003, 0.3844, 0.0019, 0.0148, -0.6161, -0.1812, 0.3042, 0.21980000000000002, 0.403, 0.4027, 0.009300000000000001, 0.031100000000000003, 0.3906, 0.3896, -0.0002, -0.0044, 0.0055000000000000005, 0.0034000000000000002, 0.3875, 0.3935, -0.011000000000000001, -0.0078000000000000005, 0.3935, 0.39280000000000004, 0.026500000000000003, -0.0151, 0.39330000000000004, 0.39230000000000004, 0.35500000000000004, 0.3617, 0.3881, 0.43770000000000003, 0.4002, 0.3996, 0.0086, 0.0092, 0.0212, 0.094, 0.0252, 0.3271, 0.3947, 0.38480000000000003, -0.0251, -0.0137, 0.39530000000000004, 0.38980000000000004, 0.0045000000000000005, 0.014100000000000001, -0.007200000000000001, -0.031, 0.38980000000000004, 0.39230000000000004, 0.0098, 0.0193, 0.3885, 0.39840000000000003, -0.0032, -0.0134, 0.3952, 0.40290000000000004, 0.4081, 0.4021, 0.0123, -0.0379, 0.39480000000000004, 0.3937, -0.0236, 0.0219, 0.08950000000000001, -0.013800000000000002, 0.3855, 0.394, 0.38170000000000004, 0.3825, 0.0123, -0.0102, 0.3932, 0.3874, -0.018600000000000002, 0.0135, 0.0219, 0.0024000000000000002, 0.3904, 0.39680000000000004, -0.0117, -0.006, 0.3965, 0.3922, 0.012, -0.0151, 0.4041, 0.3971, 0.4298, 0.42000000000000004, -0.0439, -0.0068000000000000005, 0.8428, -1.1693, -0.1317, -0.3532, -0.5276000000000001, 0.0517, 0.21710000000000002, -0.8343, 0.1468, -0.5729000000000001, -0.20800000000000002, 0.0216, -1.9544000000000001, -0.1446, 0.24000000000000002, -1.3715000000000002, 0.7888000000000001, 0.0883, 0.7404000000000001, 0.8277, 0.029, 0.5108, -0.5765, 0.024200000000000003, 0.129, -0.7055, 1.0044, 0.13570000000000002, 0.075, -0.30870000000000003, 0.6079, -0.0012000000000000001, 0.4131, -1.8275000000000001, 0.0859, -0.27790000000000004, -0.8831, 0.16490000000000002, -0.7865000000000001, -1.1814, -0.008, -0.7824, -0.020200000000000003, -0.0175, -0.8623000000000001, -0.0073, 0.0061, -0.8581000000000001, 1.118, -0.033100000000000004, 0.7227, 1.2723, 0.0175, 0.9857, -0.7658, 0.0059, 0.12710000000000002, -0.9541000000000001, -0.7593000000000001, 0.07880000000000001, -0.0388, -1.0171000000000001, 0.014, 0.024200000000000003, 0.1729, -1.0491000000000001, 0.1933, -0.23870000000000002, -1.5190000000000001, 0.1502, -0.7113, -1.6952, -0.0172, -0.6036, 0.0385, 0.0346, 0.40840000000000004, 0.1015, -0.0534, 1.0573000000000001, 1.2465000000000002, -0.0654, 1.0432000000000001, 0.9818, -0.008, 1.1168, -1.1082, -0.023200000000000002, -0.048, -1.1099, -1.0667, -0.2636, 0.011600000000000001, -1.0072, -0.0876, 0.016900000000000002, -0.0132, 0.0048000000000000004, 0.09430000000000001, 0.0061, -1.4212, 0.0016, -0.5134000000000001, 0.0071, 0.0099, 0.008700000000000001, 0.21710000000000002, 0.0018000000000000002, 0.9545, 0.006, -0.1116, 0.0027, 0.682, 0.0076, 0.9096000000000001, 0.0057, -0.0392, 0.002, -1.0527, 0.0046, -0.3242, 0.0015, -0.8983000000000001, 0.0038, -0.0887, 0.0083, -0.10830000000000001, 0.007500000000000001], \"bitstrings\": [\"0101010110101001\", \"0101010110101010\"], \"total_optimization_steps\": 340, \"probabilities\": [0.42353428355111045, 0.5733376979763422], \"optimization_time\": 417.0909752845764}","0.25 * (Z(0) @ Z(1)) + -0.00038265306122448983 * (Z(2) @ Z(0)) + -0.00038265306122448983 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.000510204081632653 * (Z(4) @ Z(0)) + -0.000510204081632653 * (Z(4) @ Z(2)) + -0.000510204081632653 * (Z(5) @ Z(1)) + -0.000510204081632653 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.000510204081632653 * (Z(6) @ Z(0)) + -0.000510204081632653 * (Z(6) @ Z(2)) + -0.0006058673469387755 * (Z(6) @ Z(4)) + -0.000510204081632653 * (Z(7) @ Z(1)) + -0.000510204081632653 * (Z(7) @ Z(3)) + -0.0006058673469387755 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.000510204081632653 * (Z(8) @ Z(0)) + -0.00038265306122448983 * (Z(8) @ Z(2)) + 0.0003826530612244898 * (Z(8) @ Z(4)) + 0.0003826530612244898 * (Z(8) @ Z(6)) + 0.000510204081632653 * (Z(9) @ Z(1)) + -0.00038265306122448983 * (Z(9) @ Z(3)) + 0.0003826530612244898 * (Z(9) @ Z(5)) + 0.0003826530612244898 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(8)) + -0.00038265306122448983 * (Z(10) @ Z(0)) + 0.000510204081632653 * (Z(10) @ Z(2)) + 0.0003826530612244898 * (Z(10) @ Z(4)) + 0.0003826530612244898 * (Z(10) @ Z(6)) + -0.00038265306122448983 * (Z(10) @ Z(8)) + -0.00038265306122448983 * (Z(11) @ Z(1)) + 0.000510204081632653 * (Z(11) @ Z(3)) + 0.0003826530612244898 * (Z(11) @ Z(5)) + 0.0003826530612244898 * (Z(11) @ Z(7)) + -0.00038265306122448983 * (Z(11) @ Z(9)) + 0.25 * (Z(11) @ Z(10)) + 0.0003826530612244898 * (Z(12) @ Z(0)) + 0.0003826530612244898 * (Z(12) @ Z(2)) + 0.00028698979591836737 * (Z(12) @ Z(4)) + 0.00028698979591836737 * (Z(12) @ Z(6)) + -0.000510204081632653 * (Z(12) @ Z(8)) + -0.000510204081632653 * (Z(12) @ Z(10)) + 0.0003826530612244898 * (Z(13) @ Z(1)) + 0.0003826530612244898 * (Z(13) @ Z(3)) + 0.00028698979591836737 * (Z(13) @ Z(5)) + 0.00028698979591836737 * (Z(13) @ Z(7)) + -0.000510204081632653 * (Z(13) @ Z(9)) + -0.000510204081632653 * (Z(13) @ Z(11)) + 0.25 * (Z(13) @ Z(12)) + 0.0003826530612244898 * (Z(14) @ Z(0)) + 0.0003826530612244898 * (Z(14) @ Z(2)) + 0.00028698979591836737 * (Z(14) @ Z(4)) + 0.00028698979591836737 * (Z(14) @ Z(6)) + -0.000510204081632653 * (Z(14) @ Z(8)) + -0.000510204081632653 * (Z(14) @ Z(10)) + -0.0006058673469387755 * (Z(14) @ Z(12)) + 0.0003826530612244898 * (Z(15) @ Z(1)) + 0.0003826530612244898 * (Z(15) @ Z(3)) + 0.00028698979591836737 * (Z(15) @ Z(5)) + 0.00028698979591836737 * (Z(15) @ Z(7)) + -0.000510204081632653 * (Z(15) @ Z(9)) + -0.000510204081632653 * (Z(15) @ Z(11)) + -0.0006058673469387755 * (Z(15) @ Z(13)) + 0.25 * (Z(15) @ Z(14)) + -0.0005102040816326592 * Z(1) + -0.0005102040816326592 * Z(0) + -0.0005102040816326592 * Z(2) + -0.0005102040816326592 * Z(3) + -0.00028698979591837426 * Z(4) + -0.00028698979591837426 * Z(5) + -0.00028698979591837426 * Z(6) + -0.00028698979591837426 * Z(7) + -0.0005102040816326592 * Z(8) + -0.0005102040816326592 * Z(9) + -0.0005102040816326592 * Z(10) + -0.0005102040816326592 * Z(11) + -0.00028698979591837426 * Z(12) + -0.00028698979591837426 * Z(13) + -0.00028698979591837426 * Z(14) + -0.00028698979591837426 * Z(15)",13,16,4,"{\"smallest_eigenvalues\": [-2.021045918367329], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.0210459183672667, \"smallest_bitstrings\": [\"0101010110101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nry(0.3812) q[0];\nry(0.0132) q[1];\nry(-1.2205) q[2];\nry(0.296) q[3];\nry(0.3915) q[4];\nry(0.0035) q[5];\nry(0.3926) q[6];\nry(-0.0219) q[7];\nry(0.0127) q[8];\nry(0.3892) q[9];\nry(-0.001) q[10];\nry(0.3916) q[11];\nry(-0.0056) q[12];\nry(0.3902) q[13];\nry(0.3899) q[14];\nry(0.3745) q[15];\ncrz(0.8428) q[15], q[0];\ncrz(0.6079) q[14], q[15];\ncrz(0.075) q[13], q[14];\ncrz(1.0044) q[12], q[13];\ncrz(0.129) q[11], q[12];\ncrz(-0.5765) q[10], q[11];\ncrz(0.029) q[9], q[10];\ncrz(0.7404) q[8], q[9];\ncrz(0.7888) q[7], q[8];\ncrz(0.24) q[6], q[7];\ncrz(-1.9544) q[5], q[6];\ncrz(-0.208) q[4], q[5];\ncrz(0.1468) q[3], q[4];\ncrz(0.2171) q[2], q[3];\ncrz(-0.5276) q[1], q[2];\ncrz(-0.1317) q[0], q[1];\nry(0.3937) q[0];\nry(-0.0149) q[1];\nry(-1.1388) q[2];\nry(0.305) q[3];\nry(0.3912) q[4];\nry(-0.0131) q[5];\nry(0.3899) q[6];\nry(0.0223) q[7];\nry(0.0012) q[8];\nry(0.3847) q[9];\nry(0.0099) q[10];\nry(0.3905) q[11];\nry(-0.0196) q[12];\nry(0.3868) q[13];\nry(0.3748) q[14];\nry(0.6018) q[15];\ncrz(-1.1693) q[15], q[14];\ncrz(-0.3532) q[0], q[15];\ncrz(0.0517) q[0], q[1];\ncrz(-0.8343) q[1], q[2];\ncrz(-0.5729) q[2], q[3];\ncrz(0.0216) q[3], q[4];\ncrz(-0.1446) q[4], q[5];\ncrz(-1.3715) q[5], q[6];\ncrz(0.0883) q[6], q[7];\ncrz(0.8277) q[7], q[8];\ncrz(0.5108) q[8], q[9];\ncrz(0.0242) q[9], q[10];\ncrz(-0.7055) q[10], q[11];\ncrz(0.1357) q[11], q[12];\ncrz(-0.3087) q[12], q[13];\ncrz(-0.0012) q[13], q[14];\nry(0.3964) q[0];\nry(0.0019) q[1];\nry(-0.6161) q[2];\nry(0.3042) q[3];\nry(0.403) q[4];\nry(0.0093) q[5];\nry(0.3906) q[6];\nry(-0.0002) q[7];\nry(0.0055) q[8];\nry(0.3875) q[9];\nry(-0.011) q[10];\nry(0.3935) q[11];\nry(0.0265) q[12];\nry(0.3933) q[13];\nry(0.355) q[14];\nry(0.3881) q[15];\ncrz(0.4131) q[15], q[0];\ncrz(0.014) q[14], q[15];\ncrz(-0.0388) q[13], q[14];\ncrz(-0.7593) q[12], q[13];\ncrz(0.1271) q[11], q[12];\ncrz(-0.7658) q[10], q[11];\ncrz(0.0175) q[9], q[10];\ncrz(0.7227) q[8], q[9];\ncrz(1.118) q[7], q[8];\ncrz(0.0061) q[6], q[7];\ncrz(-0.8623) q[5], q[6];\ncrz(-0.0202) q[4], q[5];\ncrz(-0.008) q[3], q[4];\ncrz(-0.7865) q[2], q[3];\ncrz(-0.8831) q[1], q[2];\ncrz(0.0859) q[0], q[1];\nry(0.3844) q[0];\nry(0.0148) q[1];\nry(-0.1812) q[2];\nry(0.2198) q[3];\nry(0.4027) q[4];\nry(0.0311) q[5];\nry(0.3896) q[6];\nry(-0.0044) q[7];\nry(0.0034) q[8];\nry(0.3935) q[9];\nry(-0.0078) q[10];\nry(0.3928) q[11];\nry(-0.0151) q[12];\nry(0.3923) q[13];\nry(0.3617) q[14];\nry(0.4377) q[15];\ncrz(-1.8275) q[15], q[14];\ncrz(-0.2779) q[0], q[15];\ncrz(0.1649) q[0], q[1];\ncrz(-1.1814) q[1], q[2];\ncrz(-0.7824) q[2], q[3];\ncrz(-0.0175) q[3], q[4];\ncrz(-0.0073) q[4], q[5];\ncrz(-0.8581) q[5], q[6];\ncrz(-0.0331) q[6], q[7];\ncrz(1.2723) q[7], q[8];\ncrz(0.9857) q[8], q[9];\ncrz(0.0059) q[9], q[10];\ncrz(-0.9541) q[10], q[11];\ncrz(0.0788) q[11], q[12];\ncrz(-1.0171) q[12], q[13];\ncrz(0.0242) q[13], q[14];\nry(0.4002) q[0];\nry(0.0086) q[1];\nry(0.0212) q[2];\nry(0.0252) q[3];\nry(0.3947) q[4];\nry(-0.0251) q[5];\nry(0.3953) q[6];\nry(0.0045) q[7];\nry(-0.0072) q[8];\nry(0.3898) q[9];\nry(0.0098) q[10];\nry(0.3885) q[11];\nry(-0.0032) q[12];\nry(0.3952) q[13];\nry(0.4081) q[14];\nry(0.0123) q[15];\ncrz(0.1729) q[15], q[0];\ncrz(-0.0876) q[14], q[15];\ncrz(0.0116) q[13], q[14];\ncrz(-1.0667) q[12], q[13];\ncrz(-0.048) q[11], q[12];\ncrz(-1.1082) q[10], q[11];\ncrz(-0.008) q[9], q[10];\ncrz(1.0432) q[8], q[9];\ncrz(1.2465) q[7], q[8];\ncrz(-0.0534) q[6], q[7];\ncrz(0.4084) q[5], q[6];\ncrz(0.0385) q[4], q[5];\ncrz(-0.0172) q[3], q[4];\ncrz(-0.7113) q[2], q[3];\ncrz(-1.519) q[1], q[2];\ncrz(0.1933) q[0], q[1];\nry(0.3996) q[0];\nry(0.0092) q[1];\nry(0.094) q[2];\nry(0.3271) q[3];\nry(0.3848) q[4];\nry(-0.0137) q[5];\nry(0.3898) q[6];\nry(0.0141) q[7];\nry(-0.031) q[8];\nry(0.3923) q[9];\nry(0.0193) q[10];\nry(0.3984) q[11];\nry(-0.0134) q[12];\nry(0.4029) q[13];\nry(0.4021) q[14];\nry(-0.0379) q[15];\ncrz(-1.0491) q[15], q[14];\ncrz(-0.2387) q[0], q[15];\ncrz(0.1502) q[0], q[1];\ncrz(-1.6952) q[1], q[2];\ncrz(-0.6036) q[2], q[3];\ncrz(0.0346) q[3], q[4];\ncrz(0.1015) q[4], q[5];\ncrz(1.0573) q[5], q[6];\ncrz(-0.0654) q[6], q[7];\ncrz(0.9818) q[7], q[8];\ncrz(1.1168) q[8], q[9];\ncrz(-0.0232) q[9], q[10];\ncrz(-1.1099) q[10], q[11];\ncrz(-0.2636) q[11], q[12];\ncrz(-1.0072) q[12], q[13];\ncrz(0.0169) q[13], q[14];\nry(0.3948) q[0];\nry(-0.0236) q[1];\nry(0.0895) q[2];\nry(0.3855) q[3];\nry(0.3817) q[4];\nry(0.0123) q[5];\nry(0.3932) q[6];\nry(-0.0186) q[7];\nry(0.0219) q[8];\nry(0.3904) q[9];\nry(-0.0117) q[10];\nry(0.3965) q[11];\nry(0.012) q[12];\nry(0.4041) q[13];\nry(0.4298) q[14];\nry(-0.0439) q[15];\ncrz(-0.0132) q[15], q[0];\ncrz(-0.1083) q[14], q[15];\ncrz(-0.0887) q[13], q[14];\ncrz(-0.8983) q[12], q[13];\ncrz(-0.3242) q[11], q[12];\ncrz(-1.0527) q[10], q[11];\ncrz(-0.0392) q[9], q[10];\ncrz(0.9096) q[8], q[9];\ncrz(0.682) q[7], q[8];\ncrz(-0.1116) q[6], q[7];\ncrz(0.9545) q[5], q[6];\ncrz(0.2171) q[4], q[5];\ncrz(0.0099) q[3], q[4];\ncrz(-0.5134) q[2], q[3];\ncrz(-1.4212) q[1], q[2];\ncrz(0.0943) q[0], q[1];\nry(0.3937) q[0];\nry(0.0219) q[1];\nry(-0.0138) q[2];\nry(0.394) q[3];\nry(0.3825) q[4];\nry(-0.0102) q[5];\nry(0.3874) q[6];\nry(0.0135) q[7];\nry(0.0024) q[8];\nry(0.3968) q[9];\nry(-0.006) q[10];\nry(0.3922) q[11];\nry(-0.0151) q[12];\nry(0.3971) q[13];\nry(0.42) q[14];\nry(-0.0068) q[15];\ncrz(0.0048) q[15], q[14];\ncrz(0.0061) q[0], q[15];\ncrz(0.0016) q[0], q[1];\ncrz(0.0071) q[1], q[2];\ncrz(0.0087) q[2], q[3];\ncrz(0.0018) q[3], q[4];\ncrz(0.006) q[4], q[5];\ncrz(0.0027) q[5], q[6];\ncrz(0.0076) q[6], q[7];\ncrz(0.0057) q[7], q[8];\ncrz(0.002) q[8], q[9];\ncrz(0.0046) q[9], q[10];\ncrz(0.0015) q[10], q[11];\ncrz(0.0038) q[11], q[12];\ncrz(0.0083) q[12], q[13];\ncrz(0.0075) q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x179;\ninput float[64] x18;\ninput float[64] x180;\ninput float[64] x181;\ninput float[64] x182;\ninput float[64] x183;\ninput float[64] x184;\ninput float[64] x185;\ninput float[64] x186;\ninput float[64] x187;\ninput float[64] x188;\ninput float[64] x189;\ninput float[64] x19;\ninput float[64] x190;\ninput float[64] x191;\ninput float[64] x192;\ninput float[64] x193;\ninput float[64] x194;\ninput float[64] x195;\ninput float[64] x196;\ninput float[64] x197;\ninput float[64] x198;\ninput float[64] x199;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x200;\ninput float[64] x201;\ninput float[64] x202;\ninput float[64] x203;\ninput float[64] x204;\ninput float[64] x205;\ninput float[64] x206;\ninput float[64] x207;\ninput float[64] x208;\ninput float[64] x209;\ninput float[64] x21;\ninput float[64] x210;\ninput float[64] x211;\ninput float[64] x212;\ninput float[64] x213;\ninput float[64] x214;\ninput float[64] x215;\ninput float[64] x216;\ninput float[64] x217;\ninput float[64] x218;\ninput float[64] x219;\ninput float[64] x22;\ninput float[64] x220;\ninput float[64] x221;\ninput float[64] x222;\ninput float[64] x223;\ninput float[64] x224;\ninput float[64] x225;\ninput float[64] x226;\ninput float[64] x227;\ninput float[64] x228;\ninput float[64] x229;\ninput float[64] x23;\ninput float[64] x230;\ninput float[64] x231;\ninput float[64] x232;\ninput float[64] x233;\ninput float[64] x234;\ninput float[64] x235;\ninput float[64] x236;\ninput float[64] x237;\ninput float[64] x238;\ninput float[64] x239;\ninput float[64] x24;\ninput float[64] x240;\ninput float[64] x241;\ninput float[64] x242;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[16] c;\nqubit[16] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\nry(x13) q[13];\nry(x14) q[14];\nry(x15) q[15];\ncrz(x16) q[15], q[0];\ncrz(x17) q[14], q[15];\ncrz(x18) q[13], q[14];\ncrz(x19) q[12], q[13];\ncrz(x20) q[11], q[12];\ncrz(x21) q[10], q[11];\ncrz(x22) q[9], q[10];\ncrz(x23) q[8], q[9];\ncrz(x24) q[7], q[8];\ncrz(x25) q[6], q[7];\ncrz(x26) q[5], q[6];\ncrz(x27) q[4], q[5];\ncrz(x28) q[3], q[4];\ncrz(x29) q[2], q[3];\ncrz(x30) q[1], q[2];\ncrz(x31) q[0], q[1];\nry(x32) q[0];\nry(x33) q[1];\nry(x34) q[2];\nry(x35) q[3];\nry(x36) q[4];\nry(x37) q[5];\nry(x14) q[6];\nry(x38) q[7];\nry(x39) q[8];\nry(x40) q[9];\nry(x41) q[10];\nry(x42) q[11];\nry(x43) q[12];\nry(x44) q[13];\nry(x45) q[14];\nry(x46) q[15];\ncrz(x47) q[15], q[14];\ncrz(x48) q[0], q[15];\ncrz(x49) q[0], q[1];\ncrz(x50) q[1], q[2];\ncrz(x51) q[2], q[3];\ncrz(x52) q[3], q[4];\ncrz(x53) q[4], q[5];\ncrz(x54) q[5], q[6];\ncrz(x55) q[6], q[7];\ncrz(x56) q[7], q[8];\ncrz(x57) q[8], q[9];\ncrz(x58) q[9], q[10];\ncrz(x59) q[10], q[11];\ncrz(x60) q[11], q[12];\ncrz(x61) q[12], q[13];\ncrz(x62) q[13], q[14];\nry(x63) q[0];\nry(x64) q[1];\nry(x65) q[2];\nry(x66) q[3];\nry(x67) q[4];\nry(x68) q[5];\nry(x69) q[6];\nry(x70) q[7];\nry(x71) q[8];\nry(x72) q[9];\nry(x73) q[10];\nry(x74) q[11];\nry(x75) q[12];\nry(x76) q[13];\nry(x77) q[14];\nry(x78) q[15];\ncrz(x79) q[15], q[0];\ncrz(x80) q[14], q[15];\ncrz(x81) q[13], q[14];\ncrz(x82) q[12], q[13];\ncrz(x83) q[11], q[12];\ncrz(x84) q[10], q[11];\ncrz(x85) q[9], q[10];\ncrz(x86) q[8], q[9];\ncrz(x87) q[7], q[8];\ncrz(x88) q[6], q[7];\ncrz(x89) q[5], q[6];\ncrz(x90) q[4], q[5];\ncrz(x91) q[3], q[4];\ncrz(x92) q[2], q[3];\ncrz(x93) q[1], q[2];\ncrz(x94) q[0], q[1];\nry(x95) q[0];\nry(x96) q[1];\nry(x97) q[2];\nry(x98) q[3];\nry(x99) q[4];\nry(x100) q[5];\nry(x101) q[6];\nry(x102) q[7];\nry(x103) q[8];\nry(x74) q[9];\nry(x104) q[10];\nry(x105) q[11];\nry(x106) q[12];\nry(x107) q[13];\nry(x108) q[14];\nry(x109) q[15];\ncrz(x110) q[15], q[14];\ncrz(x111) q[0], q[15];\ncrz(x112) q[0], q[1];\ncrz(x113) q[1], q[2];\ncrz(x114) q[2], q[3];\ncrz(x115) q[3], q[4];\ncrz(x116) q[4], q[5];\ncrz(x117) q[5], q[6];\ncrz(x118) q[6], q[7];\ncrz(x119) q[7], q[8];\ncrz(x120) q[8], q[9];\ncrz(x121) q[9], q[10];\ncrz(x122) q[10], q[11];\ncrz(x123) q[11], q[12];\ncrz(x124) q[12], q[13];\ncrz(x58) q[13], q[14];\nry(x125) q[0];\nry(x126) q[1];\nry(x127) q[2];\nry(x128) q[3];\nry(x129) q[4];\nry(x130) q[5];\nry(x131) q[6];\nry(x132) q[7];\nry(x133) q[8];\nry(x134) q[9];\nry(x135) q[10];\nry(x136) q[11];\nry(x137) q[12];\nry(x138) q[13];\nry(x139) q[14];\nry(x140) q[15];\ncrz(x141) q[15], q[0];\ncrz(x142) q[14], q[15];\ncrz(x143) q[13], q[14];\ncrz(x144) q[12], q[13];\ncrz(x145) q[11], q[12];\ncrz(x146) q[10], q[11];\ncrz(x91) q[9], q[10];\ncrz(x147) q[8], q[9];\ncrz(x148) q[7], q[8];\ncrz(x149) q[6], q[7];\ncrz(x150) q[5], q[6];\ncrz(x151) q[4], q[5];\ncrz(x152) q[3], q[4];\ncrz(x153) q[2], q[3];\ncrz(x154) q[1], q[2];\ncrz(x155) q[0], q[1];\nry(x156) q[0];\nry(x157) q[1];\nry(x158) q[2];\nry(x159) q[3];\nry(x160) q[4];\nry(x161) q[5];\nry(x134) q[6];\nry(x162) q[7];\nry(x163) q[8];\nry(x107) q[9];\nry(x164) q[10];\nry(x165) q[11];\nry(x166) q[12];\nry(x167) q[13];\nry(x168) q[14];\nry(x169) q[15];\ncrz(x170) q[15], q[14];\ncrz(x171) q[0], q[15];\ncrz(x172) q[0], q[1];\ncrz(x173) q[1], q[2];\ncrz(x174) q[2], q[3];\ncrz(x175) q[3], q[4];\ncrz(x176) q[4], q[5];\ncrz(x177) q[5], q[6];\ncrz(x178) q[6], q[7];\ncrz(x179) q[7], q[8];\ncrz(x180) q[8], q[9];\ncrz(x181) q[9], q[10];\ncrz(x182) q[10], q[11];\ncrz(x183) q[11], q[12];\ncrz(x184) q[12], q[13];\ncrz(x185) q[13], q[14];\nry(x186) q[0];\nry(x187) q[1];\nry(x188) q[2];\nry(x189) q[3];\nry(x190) q[4];\nry(x140) q[5];\nry(x191) q[6];\nry(x192) q[7];\nry(x193) q[8];\nry(x194) q[9];\nry(x195) q[10];\nry(x196) q[11];\nry(x197) q[12];\nry(x198) q[13];\nry(x199) q[14];\nry(x200) q[15];\ncrz(x201) q[15], q[0];\ncrz(x202) q[14], q[15];\ncrz(x203) q[13], q[14];\ncrz(x204) q[12], q[13];\ncrz(x205) q[11], q[12];\ncrz(x206) q[10], q[11];\ncrz(x207) q[9], q[10];\ncrz(x208) q[8], q[9];\ncrz(x209) q[7], q[8];\ncrz(x210) q[6], q[7];\ncrz(x211) q[5], q[6];\ncrz(x29) q[4], q[5];\ncrz(x41) q[3], q[4];\ncrz(x212) q[2], q[3];\ncrz(x213) q[1], q[2];\ncrz(x214) q[0], q[1];\nry(x32) q[0];\nry(x193) q[1];\nry(x215) q[2];\nry(x216) q[3];\nry(x217) q[4];\nry(x218) q[5];\nry(x219) q[6];\nry(x220) q[7];\nry(x221) q[8];\nry(x222) q[9];\nry(x223) q[10];\nry(x224) q[11];\nry(x106) q[12];\nry(x225) q[13];\nry(x226) q[14];\nry(x227) q[15];\ncrz(x228) q[15], q[14];\ncrz(x88) q[0], q[15];\ncrz(x229) q[0], q[1];\ncrz(x230) q[1], q[2];\ncrz(x231) q[2], q[3];\ncrz(x232) q[3], q[4];\ncrz(x233) q[4], q[5];\ncrz(x234) q[5], q[6];\ncrz(x235) q[6], q[7];\ncrz(x236) q[7], q[8];\ncrz(x237) q[8], q[9];\ncrz(x238) q[9], q[10];\ncrz(x239) q[10], q[11];\ncrz(x240) q[11], q[12];\ncrz(x241) q[12], q[13];\ncrz(x242) q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"communities_size\": 4, \"number_of_communities\": 2}","{\"circuits\": [], \"gradients\": []}"]
["-1466805811598543234","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[2, 3, 4, 6, 8], [2, 4, 6, 7, 8], [1, 2, 4, 5], [3, 5], [8, 2, 5, 7], [0, 1, 2, 5, 7], [0, 1, 4, 7], [0, 1, 5, 8, 9]]}","{\"states\": [831, 319], \"expectation_value\": -1.3508512902059127, \"params\": [1.1480000000000001, 0.7253000000000001, 2.0006, -0.5940000000000001, 1.1836, 0.6034, 0.5781000000000001, -0.8977, 1.1395, -0.5894, 1.9861000000000002, -0.0039000000000000003, 1.9879, -0.0022, 1.9861000000000002, -0.0027, 1.9967000000000001, 0.0045000000000000005, 1.9994, 0.006500000000000001, 0.5046, 0.7739, 0.7536, 0.1661, 0.5827, 1.1596, 1.1818, 1.1792, 1.1654], \"bitstrings\": [\"0011000000\", \"1011000000\"], \"total_optimization_steps\": 200, \"probabilities\": [0.07905067615494335, 0.08380928883268368], \"optimization_time\": 27.79303812980652}","0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.05 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.18333333333333335 * (Z(8) @ Z(2)) + 0.1 * (Z(8) @ Z(4)) + 0.1 * (Z(8) @ Z(6)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.13333333333333333 * (Z(7) @ Z(8)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(8)) + 0.13333333333333333 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(8)) + 0.13333333333333333 * (Z(5) @ Z(7)) + 0.18333333333333335 * (Z(5) @ Z(1)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(8)) + 0.13333333333333333 * (Z(0) @ Z(7)) + 0.18333333333333335 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(5)) + 0.05 * (Z(9) @ Z(8)) + 0.05 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(5)) + 0.05 * (Z(9) @ Z(0)) + 0.09999999999999998 * Z(3) + 0.55 * Z(2) + 0.45 * Z(4) + 0.19999999999999996 * Z(6) + 0.42500000000000004 * Z(8) + 0.4499999999999999 * Z(7) + 0.45000000000000007 * Z(1) + 0.4500000000000002 * Z(5) + 0.325 * Z(0) + 0.1 * Z(9)",4,10,1,"{\"smallest_eigenvalues\": [-2.0500000000000003, -2.0500000000000003], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.05, \"smallest_bitstrings\": [\"1011000000\", \"1011000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(1.148) q[0];\nrz(0.7253) q[0];\nrx(2.0006) q[1];\nrz(-0.594) q[1];\nrx(1.1836) q[2];\nrz(0.6034) q[2];\nrx(0.5781) q[3];\nrz(-0.8977) q[3];\nrx(1.1395) q[4];\nrz(-0.5894) q[4];\nrx(1.9861) q[5];\nrz(-0.0039) q[5];\nrx(1.9879) q[6];\nrz(-0.0022) q[6];\nrx(1.9861) q[7];\nrz(-0.0027) q[7];\nrx(1.9967) q[8];\nrz(0.0045) q[8];\nrx(1.9994) q[9];\nrz(0.0065) q[9];\ncrx(1.1654) q[9], q[8];\ncrx(1.1792) q[8], q[7];\ncrx(1.1818) q[7], q[6];\ncrx(1.1596) q[6], q[5];\ncrx(0.5827) q[5], q[4];\ncrx(0.1661) q[4], q[3];\ncrx(0.7536) q[3], q[2];\ncrx(0.7739) q[2], q[1];\ncrx(0.5046) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x10) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrx(x19) q[9], q[8];\ncrx(x20) q[8], q[7];\ncrx(x21) q[7], q[6];\ncrx(x22) q[6], q[5];\ncrx(x23) q[5], q[4];\ncrx(x24) q[4], q[3];\ncrx(x25) q[3], q[2];\ncrx(x26) q[2], q[1];\ncrx(x27) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["97aa58ef0b431934bfaa14698e7612e3","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [57, 29], \"expectation_value\": -4.499899063456086, \"params\": null, \"bitstrings\": [\"000110\", \"100010\"], \"total_optimization_steps\": 27, \"probabilities\": [1.6414457491183143e-05, 0.9999303761353588], \"optimization_time\": 23.385794639587402}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5)",1,6,3,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nry(-1.4449) q[0];\nry(1.4449) q[5];\nry(1.4449) q[2];\nry(1.4417) q[1];\nry(1.4417) q[3];\ncry(-0.1259) q[3], q[0];\ncry(0.1217) q[5], q[1];\ncry(0.1216) q[1], q[3];\ncry(0.1188) q[1], q[2];\ncry(0.1186) q[2], q[5];\ncry(-0.0005) q[5], q[0];\ncry(0.0074) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[4];\\nry(-1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[2];\\nry(1.4417) q[1];\\nry(1.4417) q[3];\\ncry(-0.1259) q[3], q[0];\\ncry(0.1217) q[5], q[1];\\ncry(0.1216) q[1], q[3];\\ncry(0.1188) q[1], q[2];\\ncry(0.1186) q[2], q[5];\\ncry(-0.0005) q[5], q[0];\\ncry(0.0074) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [2.0097, 0.5025, 0.5007, 0.5005, 0.4961, 0.4958, 0.1931, 0.0627, 0.0628, 0.0613, 0.0612, 0.0176, 0.014, 0.014, 0.0105, 0.0105, 0.0075, 0.007, 0.007, 0.006, 0.0053, 0.0045, 0.0035, 0.0035, 0.003, 0.003, 0.0029]}"]
["ae9c84de96340fafef2df50aa0a81910","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [1460, 1462], \"expectation_value\": -2.7605933100500675, \"params\": [[[1.5685, 1.5727], [1.5694000000000001, 1.5727], [1.5684, 1.5726], [1.5732000000000002, -1.5677], [1.5728, 1.5779], [1.5686, 1.5681], [1.5737, -1.5686], [1.5682, 1.568], [1.5677, 1.5676], [1.5685, 0.021400000000000002], [1.5683, 3.1129000000000002]]], \"bitstrings\": [\"01001001011\", \"01001001001\"], \"total_optimization_steps\": 400, \"probabilities\": [0.25166478935883335, 0.2626643022196791], \"optimization_time\": 32.617913484573364}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(1) @ Z(9)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(6) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(6) @ Z(1) @ Z(8)) + -0.125 * (Z(6) @ Z(1) @ Z(9)) + -0.125 * (Z(1) @ Z(8) @ Z(9)) + -0.125 * (Z(6) @ Z(8) @ Z(9)) + 0.125 * (Z(6) @ Z(1) @ Z(8) @ Z(9)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(2) @ Z(8) @ Z(4)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(10) @ Z(3)) + 0.25 * (Z(10) @ Z(9)) + -0.25 * (Z(10) @ Z(9) @ Z(3)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(10)) + 0.25 * (Z(7) @ Z(10)) + -0.25 * (Z(5) @ Z(7) @ Z(10)) + 0.125 * Z(0) + 0.25 * Z(1) + 0.125 * Z(2) + 0.125 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 0.125 * Z(6) + 0.0 * Z(7) + 0.125 * Z(8) + 0.125 * Z(9) + 0.0 * Z(10)",15,11,1,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 27, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"11001000001\", \"00010110100\", \"00011010001\", \"00011001100\", \"00011001010\", \"00011011000\", \"10100100010\", \"10010100100\", \"01001010001\", \"01001001010\", \"01001001001\", \"00011110000\", \"10001010001\", \"10001100010\", \"10001001010\", \"10001000101\", \"10001000011\", \"10000100110\", \"10000100101\", \"00100110010\", \"00100110001\", \"00100101010\", \"00101001010\", \"01011001000\", \"00101010001\", \"00110110000\", \"00010101100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(1.5685) q[0];\nry(1.5694) q[1];\nry(1.5684) q[2];\nry(1.5732) q[3];\nry(1.5728) q[4];\nry(1.5686) q[5];\nry(1.5737) q[6];\nry(1.5682) q[7];\nry(1.5677) q[8];\nry(1.5685) q[9];\nry(1.5683) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.5727) q[0];\nry(1.5727) q[1];\nry(1.5726) q[2];\nry(-1.5677) q[3];\nry(1.5779) q[4];\nry(1.5681) q[5];\nry(-1.5686) q[6];\nry(1.568) q[7];\nry(1.5676) q[8];\nry(0.0214) q[9];\nry(3.1129) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x0) q[9];\nry(x9) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\nry(x18) q[9];\nry(x19) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["9c3f86affe867d86b1a933450f0ead98","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}]}","{\"states\": [0, 1], \"expectation_value\": -37.85843451148094, \"params\": [[[0.0031000000000000003, 0.0041], [-0.0034000000000000002, 0.0077], [-0.0017000000000000001, 0.0057], [-0.003, 0.006200000000000001], [0.0028, 0.006200000000000001], [1.6142, 0.0068000000000000005]]], \"bitstrings\": [\"111111\", \"111110\"], \"total_optimization_steps\": 160, \"probabilities\": [0.47829942803386055, 0.5216903461870064], \"optimization_time\": 3.1003618240356445}","2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + -13.0 * Z(1) + -13.0 * Z(0) + -13.25 * Z(2) + -13.0 * Z(3) + -13.0 * Z(4) + -12.25 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-40.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -37.25, \"smallest_bitstrings\": [\"111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.0031) q[0];\nrz(0.0041) q[0];\nrx(-0.0034) q[1];\nrz(0.0077) q[1];\nrx(-0.0017) q[2];\nrz(0.0057) q[2];\nrx(-0.003) q[3];\nrz(0.0062) q[3];\nrx(0.0028) q[4];\nrz(0.0062) q[4];\nrx(1.6142) q[5];\nrz(0.0068) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x7) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 5}","{\"circuits\": [], \"gradients\": []}"]
["ce32d04906c10b35aef772d26e0a291a","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 5}, {\"capacity\": 6, \"source\": 0, \"target\": 9}, {\"capacity\": 6, \"source\": 1, \"target\": 4}, {\"capacity\": 4, \"source\": 1, \"target\": 10}, {\"capacity\": 2, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 9}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 9}, {\"capacity\": 3, \"source\": 4, \"target\": 10}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 6}, {\"capacity\": 6, \"source\": 5, \"target\": 8}, {\"capacity\": 6, \"source\": 5, \"target\": 9}, {\"capacity\": 5, \"source\": 6, \"target\": 2}, {\"capacity\": 5, \"source\": 6, \"target\": 3}, {\"capacity\": 4, \"source\": 6, \"target\": 7}, {\"capacity\": 3, \"source\": 6, \"target\": 9}, {\"capacity\": 3, \"source\": 6, \"target\": 10}, {\"capacity\": 4, \"source\": 7, \"target\": 3}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 1, \"source\": 7, \"target\": 6}, {\"capacity\": 5, \"source\": 7, \"target\": 9}, {\"capacity\": 6, \"source\": 8, \"target\": 1}, {\"capacity\": 5, \"source\": 8, \"target\": 7}, {\"capacity\": 2, \"source\": 9, \"target\": 3}, {\"capacity\": 6, \"source\": 9, \"target\": 4}, {\"capacity\": 4, \"source\": 9, \"target\": 8}]}","{\"states\": [0, 256], \"expectation_value\": -25.24061739972683, \"params\": [-0.01, 0.079, -0.0086, 0.0629, -0.0028, 0.22410000000000002, -0.0013000000000000002, 0.2369, 0.3058, 0.0011, 0.3034, 0.0014, -0.0057, 0.20750000000000002, -0.0013000000000000002, 0.2364, -0.0047, 0.22740000000000002, -0.0044, 0.2349, -0.0007, 0.2404, -0.0016, 0.2429, 0.002, 0.1857, -0.0045000000000000005, 0.21080000000000002, -0.0017000000000000001, 0.216, -0.006200000000000001, 0.1769, -0.0035, 0.23120000000000002, -0.0051, 0.2358, -0.0038, 0.2288, -0.0002, 0.23440000000000003, -0.0054, 0.1996, -0.0001, 0.2288, -0.003, 0.004, 0.0002, -0.0227, -0.0025, 0.2358, -0.0032, 0.2308, 0.30160000000000003, 0.0007, 0.3044, 0.002, -0.001, 0.23870000000000002, -0.0029000000000000002, 0.23820000000000002, -0.002, 0.23600000000000002, 0.0008, 0.2298, -0.0041, 0.23600000000000002, -0.0041, 0.23950000000000002, -0.0055000000000000005, 0.23450000000000001, -0.0038, 0.2403, 0.0001, 0.22460000000000002, -0.0056, 0.2026, 0.0022, 0.23120000000000002, 0.0007, 0.2263, -0.0056, 0.23040000000000002, -0.0051, 0.2293, -0.0006000000000000001, 0.2298, 0.00030000000000000003, 0.2349, 0.0035, -0.0855, 0.0269, 0.0019, 0.0006000000000000001, 0.23070000000000002, -0.0035, 0.003, 0.306, 0.0007, 0.2985, 0.008400000000000001, -0.006900000000000001, 0.2446, -0.0015, 0.0067, -0.0019, 0.20700000000000002, -0.0059, 0.0044, 0.0005, 0.24020000000000002, -0.0014, 0.0089, 0.0033, 0.2311, -0.0018000000000000002, 0.0074, -0.0026000000000000003, 0.18100000000000002, -0.0031000000000000003, 0.004200000000000001, -0.0023, 0.2164, -0.0041, 0.0091, -0.0023, 0.224, -0.0016, 0.0088, -0.003, 0.23950000000000002, -0.0014, 0.006900000000000001, 0.0046, 0.0031000000000000003, 0.0536, 0.0002, 0.0038, -0.0018000000000000002, -0.0071, 0.0056, 0.0001, 0.0015, 0.0047, 0.0122, 0.003, 0.0811, -0.0025, -0.004, -0.0004, 0.005, 0.0068000000000000005, -0.0008, -0.0027, -0.0031000000000000003, -0.0026000000000000003, -0.0046, 0.1517, -0.004, -0.0053, -0.0036000000000000003, -0.006200000000000001, 0.0066, -0.0034000000000000002, -0.0057, -0.005200000000000001], \"bitstrings\": [\"11111111111\", \"11011111111\"], \"total_optimization_steps\": 30, \"probabilities\": [0.3767073583101833, 0.6227133396948455], \"optimization_time\": 63.37259650230408}","-1.25 * (Z(0) @ Z(6)) + -1.5 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(0)) + -2.25 * (Z(5) @ Z(10)) + -2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(10)) + -0.75 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.5 * (Z(9) @ Z(1)) + -1.25 * (Z(8) @ Z(10)) + -0.25 * (Z(8) @ Z(5)) + -1.0 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(7)) + -1.25 * (Z(8) @ Z(9)) + 2.25 * Z(6) + -0.25 * Z(0) + -3.5 * Z(10) + -1.0 * Z(5) + 0.0 * Z(1) + 0.5 * Z(2) + 0.0 * Z(3) + -3.0 * Z(4) + 4.25 * Z(7) + 0.25 * Z(9) + 0.5 * Z(8)",6,11,3,"{\"smallest_eigenvalues\": [-26.0, -26.0, -26.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -25.0, \"smallest_bitstrings\": [\"11001110111\", \"11011111111\", \"11011110111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(-0.01) q[0];\nrz(0.079) q[0];\nrx(-0.0028) q[1];\nrz(0.2241) q[1];\nrx(0.3058) q[2];\nrz(0.0011) q[2];\nrx(-0.0057) q[3];\nrz(0.2075) q[3];\nrx(-0.0047) q[4];\nrz(0.2274) q[4];\nrx(-0.0007) q[5];\nrz(0.2404) q[5];\nrx(0.002) q[6];\nrz(0.1857) q[6];\nrx(-0.0017) q[7];\nrz(0.216) q[7];\nrx(-0.0035) q[8];\nrz(0.2312) q[8];\nrx(-0.0038) q[9];\nrz(0.2288) q[9];\nrx(-0.0054) q[10];\nrz(0.1996) q[10];\ncrx(0.0015) q[10], q[9];\ncrx(0.0001) q[10], q[8];\ncrx(0.0056) q[10], q[7];\ncrx(-0.0071) q[10], q[6];\ncrx(-0.0018) q[10], q[5];\ncrx(0.0038) q[10], q[4];\ncrx(0.0002) q[10], q[3];\ncrx(0.0536) q[10], q[2];\ncrx(0.0031) q[10], q[1];\ncrx(0.0046) q[10], q[0];\ncrx(0.0047) q[9], q[10];\ncrx(0.0001) q[9], q[8];\ncrx(0.0056) q[9], q[7];\ncrx(-0.0071) q[9], q[6];\ncrx(-0.0018) q[9], q[5];\ncrx(0.0038) q[9], q[4];\ncrx(0.0002) q[9], q[3];\ncrx(0.0536) q[9], q[2];\ncrx(0.0031) q[9], q[1];\ncrx(0.0046) q[9], q[0];\ncrx(0.0047) q[8], q[10];\ncrx(0.0015) q[8], q[9];\ncrx(0.0056) q[8], q[7];\ncrx(-0.0071) q[8], q[6];\ncrx(-0.0018) q[8], q[5];\ncrx(0.0038) q[8], q[4];\ncrx(0.0002) q[8], q[3];\ncrx(0.0536) q[8], q[2];\ncrx(0.0031) q[8], q[1];\ncrx(0.0046) q[8], q[0];\ncrx(0.0047) q[7], q[10];\ncrx(0.0015) q[7], q[9];\ncrx(0.0001) q[7], q[8];\ncrx(-0.0071) q[7], q[6];\ncrx(-0.0018) q[7], q[5];\ncrx(0.0038) q[7], q[4];\ncrx(0.0002) q[7], q[3];\ncrx(0.0536) q[7], q[2];\ncrx(0.0031) q[7], q[1];\ncrx(0.0046) q[7], q[0];\ncrx(0.0047) q[6], q[10];\ncrx(0.0015) q[6], q[9];\ncrx(0.0001) q[6], q[8];\ncrx(0.0056) q[6], q[7];\ncrx(-0.0018) q[6], q[5];\ncrx(0.0038) q[6], q[4];\ncrx(0.0002) q[6], q[3];\ncrx(0.0536) q[6], q[2];\ncrx(0.0031) q[6], q[1];\ncrx(0.0046) q[6], q[0];\ncrx(0.0047) q[5], q[10];\ncrx(0.0015) q[5], q[9];\ncrx(0.0001) q[5], q[8];\ncrx(0.0056) q[5], q[7];\ncrx(-0.0071) q[5], q[6];\ncrx(0.0038) q[5], q[4];\ncrx(0.0002) q[5], q[3];\ncrx(0.0536) q[5], q[2];\ncrx(0.0031) q[5], q[1];\ncrx(0.0046) q[5], q[0];\ncrx(0.0047) q[4], q[10];\ncrx(0.0015) q[4], q[9];\ncrx(0.0001) q[4], q[8];\ncrx(0.0056) q[4], q[7];\ncrx(-0.0071) q[4], q[6];\ncrx(-0.0018) q[4], q[5];\ncrx(0.0002) q[4], q[3];\ncrx(0.0536) q[4], q[2];\ncrx(0.0031) q[4], q[1];\ncrx(0.0046) q[4], q[0];\ncrx(0.0047) q[3], q[10];\ncrx(0.0015) q[3], q[9];\ncrx(0.0001) q[3], q[8];\ncrx(0.0056) q[3], q[7];\ncrx(-0.0071) q[3], q[6];\ncrx(-0.0018) q[3], q[5];\ncrx(0.0038) q[3], q[4];\ncrx(0.0536) q[3], q[2];\ncrx(0.0031) q[3], q[1];\ncrx(0.0046) q[3], q[0];\ncrx(0.0047) q[2], q[10];\ncrx(0.0015) q[2], q[9];\ncrx(0.0001) q[2], q[8];\ncrx(0.0056) q[2], q[7];\ncrx(-0.0071) q[2], q[6];\ncrx(-0.0018) q[2], q[5];\ncrx(0.0038) q[2], q[4];\ncrx(0.0002) q[2], q[3];\ncrx(0.0031) q[2], q[1];\ncrx(0.0046) q[2], q[0];\ncrx(0.0047) q[1], q[10];\ncrx(0.0015) q[1], q[9];\ncrx(0.0001) q[1], q[8];\ncrx(0.0056) q[1], q[7];\ncrx(-0.0071) q[1], q[6];\ncrx(-0.0018) q[1], q[5];\ncrx(0.0038) q[1], q[4];\ncrx(0.0002) q[1], q[3];\ncrx(0.0536) q[1], q[2];\ncrx(0.0046) q[1], q[0];\ncrx(0.0047) q[0], q[10];\ncrx(0.0015) q[0], q[9];\ncrx(0.0001) q[0], q[8];\ncrx(0.0056) q[0], q[7];\ncrx(-0.0071) q[0], q[6];\ncrx(-0.0018) q[0], q[5];\ncrx(0.0038) q[0], q[4];\ncrx(0.0002) q[0], q[3];\ncrx(0.0536) q[0], q[2];\ncrx(0.0031) q[0], q[1];\nrx(-0.0086) q[0];\nrz(0.0629) q[0];\nrx(-0.0013) q[1];\nrz(0.2369) q[1];\nrx(0.3034) q[2];\nrz(0.0014) q[2];\nrx(-0.0013) q[3];\nrz(0.2364) q[3];\nrx(-0.0044) q[4];\nrz(0.2349) q[4];\nrx(-0.0016) q[5];\nrz(0.2429) q[5];\nrx(-0.0045) q[6];\nrz(0.2108) q[6];\nrx(-0.0062) q[7];\nrz(0.1769) q[7];\nrx(-0.0051) q[8];\nrz(0.2358) q[8];\nrx(-0.0002) q[9];\nrz(0.2344) q[9];\nrx(-0.0001) q[10];\nrz(0.2288) q[10];\nrx(-0.003) q[0];\nrz(0.004) q[0];\nrx(-0.0025) q[1];\nrz(0.2358) q[1];\nrx(0.3016) q[2];\nrz(0.0007) q[2];\nrx(-0.001) q[3];\nrz(0.2387) q[3];\nrx(-0.002) q[4];\nrz(0.236) q[4];\nrx(-0.0041) q[5];\nrz(0.236) q[5];\nrx(-0.0055) q[6];\nrz(0.2345) q[6];\nrx(0.0001) q[7];\nrz(0.2246) q[7];\nrx(0.0022) q[8];\nrz(0.2312) q[8];\nrx(-0.0056) q[9];\nrz(0.2304) q[9];\nrx(-0.0006) q[10];\nrz(0.2298) q[10];\ncrx(-0.0027) q[10], q[9];\ncrx(-0.0008) q[10], q[8];\ncrx(0.0068) q[10], q[7];\ncrx(0.005) q[10], q[6];\ncrx(-0.0004) q[10], q[5];\ncrx(-0.004) q[10], q[4];\ncrx(-0.0025) q[10], q[3];\ncrx(0.0811) q[10], q[2];\ncrx(0.003) q[10], q[1];\ncrx(0.0122) q[10], q[0];\ncrx(-0.0031) q[9], q[10];\ncrx(-0.0008) q[9], q[8];\ncrx(0.0068) q[9], q[7];\ncrx(0.005) q[9], q[6];\ncrx(-0.0004) q[9], q[5];\ncrx(-0.004) q[9], q[4];\ncrx(-0.0025) q[9], q[3];\ncrx(0.0811) q[9], q[2];\ncrx(0.003) q[9], q[1];\ncrx(0.0122) q[9], q[0];\ncrx(-0.0031) q[8], q[10];\ncrx(-0.0027) q[8], q[9];\ncrx(0.0068) q[8], q[7];\ncrx(0.005) q[8], q[6];\ncrx(-0.0004) q[8], q[5];\ncrx(-0.004) q[8], q[4];\ncrx(-0.0025) q[8], q[3];\ncrx(0.0811) q[8], q[2];\ncrx(0.003) q[8], q[1];\ncrx(0.0122) q[8], q[0];\ncrx(-0.0031) q[7], q[10];\ncrx(-0.0027) q[7], q[9];\ncrx(-0.0008) q[7], q[8];\ncrx(0.005) q[7], q[6];\ncrx(-0.0004) q[7], q[5];\ncrx(-0.004) q[7], q[4];\ncrx(-0.0025) q[7], q[3];\ncrx(0.0811) q[7], q[2];\ncrx(0.003) q[7], q[1];\ncrx(0.0122) q[7], q[0];\ncrx(-0.0031) q[6], q[10];\ncrx(-0.0027) q[6], q[9];\ncrx(-0.0008) q[6], q[8];\ncrx(0.0068) q[6], q[7];\ncrx(-0.0004) q[6], q[5];\ncrx(-0.004) q[6], q[4];\ncrx(-0.0025) q[6], q[3];\ncrx(0.0811) q[6], q[2];\ncrx(0.003) q[6], q[1];\ncrx(0.0122) q[6], q[0];\ncrx(-0.0031) q[5], q[10];\ncrx(-0.0027) q[5], q[9];\ncrx(-0.0008) q[5], q[8];\ncrx(0.0068) q[5], q[7];\ncrx(0.005) q[5], q[6];\ncrx(-0.004) q[5], q[4];\ncrx(-0.0025) q[5], q[3];\ncrx(0.0811) q[5], q[2];\ncrx(0.003) q[5], q[1];\ncrx(0.0122) q[5], q[0];\ncrx(-0.0031) q[4], q[10];\ncrx(-0.0027) q[4], q[9];\ncrx(-0.0008) q[4], q[8];\ncrx(0.0068) q[4], q[7];\ncrx(0.005) q[4], q[6];\ncrx(-0.0004) q[4], q[5];\ncrx(-0.0025) q[4], q[3];\ncrx(0.0811) q[4], q[2];\ncrx(0.003) q[4], q[1];\ncrx(0.0122) q[4], q[0];\ncrx(-0.0031) q[3], q[10];\ncrx(-0.0027) q[3], q[9];\ncrx(-0.0008) q[3], q[8];\ncrx(0.0068) q[3], q[7];\ncrx(0.005) q[3], q[6];\ncrx(-0.0004) q[3], q[5];\ncrx(-0.004) q[3], q[4];\ncrx(0.0811) q[3], q[2];\ncrx(0.003) q[3], q[1];\ncrx(0.0122) q[3], q[0];\ncrx(-0.0031) q[2], q[10];\ncrx(-0.0027) q[2], q[9];\ncrx(-0.0008) q[2], q[8];\ncrx(0.0068) q[2], q[7];\ncrx(0.005) q[2], q[6];\ncrx(-0.0004) q[2], q[5];\ncrx(-0.004) q[2], q[4];\ncrx(-0.0025) q[2], q[3];\ncrx(0.003) q[2], q[1];\ncrx(0.0122) q[2], q[0];\ncrx(-0.0031) q[1], q[10];\ncrx(-0.0027) q[1], q[9];\ncrx(-0.0008) q[1], q[8];\ncrx(0.0068) q[1], q[7];\ncrx(0.005) q[1], q[6];\ncrx(-0.0004) q[1], q[5];\ncrx(-0.004) q[1], q[4];\ncrx(-0.0025) q[1], q[3];\ncrx(0.0811) q[1], q[2];\ncrx(0.0122) q[1], q[0];\ncrx(-0.0031) q[0], q[10];\ncrx(-0.0027) q[0], q[9];\ncrx(-0.0008) q[0], q[8];\ncrx(0.0068) q[0], q[7];\ncrx(0.005) q[0], q[6];\ncrx(-0.0004) q[0], q[5];\ncrx(-0.004) q[0], q[4];\ncrx(-0.0025) q[0], q[3];\ncrx(0.0811) q[0], q[2];\ncrx(0.003) q[0], q[1];\nrx(0.0002) q[0];\nrz(-0.0227) q[0];\nrx(-0.0032) q[1];\nrz(0.2308) q[1];\nrx(0.3044) q[2];\nrz(0.002) q[2];\nrx(-0.0029) q[3];\nrz(0.2382) q[3];\nrx(0.0008) q[4];\nrz(0.2298) q[4];\nrx(-0.0041) q[5];\nrz(0.2395) q[5];\nrx(-0.0038) q[6];\nrz(0.2403) q[6];\nrx(-0.0056) q[7];\nrz(0.2026) q[7];\nrx(0.0007) q[8];\nrz(0.2263) q[8];\nrx(-0.0051) q[9];\nrz(0.2293) q[9];\nrx(0.0003) q[10];\nrz(0.2349) q[10];\nrx(0.0035) q[0];\nrz(-0.0855) q[0];\nrx(0.0006) q[1];\nrz(0.2307) q[1];\nrx(0.306) q[2];\nrz(0.0007) q[2];\nrx(-0.0069) q[3];\nrz(0.2446) q[3];\nrx(-0.0019) q[4];\nrz(0.207) q[4];\nrx(0.0005) q[5];\nrz(0.2402) q[5];\nrx(0.0033) q[6];\nrz(0.2311) q[6];\nrx(-0.0026) q[7];\nrz(0.181) q[7];\nrx(-0.0023) q[8];\nrz(0.2164) q[8];\nrx(-0.0023) q[9];\nrz(0.224) q[9];\nrx(-0.003) q[10];\nrz(0.2395) q[10];\ncrx(-0.0057) q[10], q[9];\ncrx(-0.0034) q[10], q[8];\ncrx(0.0066) q[10], q[7];\ncrx(-0.0062) q[10], q[6];\ncrx(-0.0036) q[10], q[5];\ncrx(-0.0053) q[10], q[4];\ncrx(-0.004) q[10], q[3];\ncrx(0.1517) q[10], q[2];\ncrx(-0.0046) q[10], q[1];\ncrx(-0.0026) q[10], q[0];\ncrx(-0.0052) q[9], q[10];\ncrx(-0.0034) q[9], q[8];\ncrx(0.0066) q[9], q[7];\ncrx(-0.0062) q[9], q[6];\ncrx(-0.0036) q[9], q[5];\ncrx(-0.0053) q[9], q[4];\ncrx(-0.004) q[9], q[3];\ncrx(0.1517) q[9], q[2];\ncrx(-0.0046) q[9], q[1];\ncrx(-0.0026) q[9], q[0];\ncrx(-0.0052) q[8], q[10];\ncrx(-0.0057) q[8], q[9];\ncrx(0.0066) q[8], q[7];\ncrx(-0.0062) q[8], q[6];\ncrx(-0.0036) q[8], q[5];\ncrx(-0.0053) q[8], q[4];\ncrx(-0.004) q[8], q[3];\ncrx(0.1517) q[8], q[2];\ncrx(-0.0046) q[8], q[1];\ncrx(-0.0026) q[8], q[0];\ncrx(-0.0052) q[7], q[10];\ncrx(-0.0057) q[7], q[9];\ncrx(-0.0034) q[7], q[8];\ncrx(-0.0062) q[7], q[6];\ncrx(-0.0036) q[7], q[5];\ncrx(-0.0053) q[7], q[4];\ncrx(-0.004) q[7], q[3];\ncrx(0.1517) q[7], q[2];\ncrx(-0.0046) q[7], q[1];\ncrx(-0.0026) q[7], q[0];\ncrx(-0.0052) q[6], q[10];\ncrx(-0.0057) q[6], q[9];\ncrx(-0.0034) q[6], q[8];\ncrx(0.0066) q[6], q[7];\ncrx(-0.0036) q[6], q[5];\ncrx(-0.0053) q[6], q[4];\ncrx(-0.004) q[6], q[3];\ncrx(0.1517) q[6], q[2];\ncrx(-0.0046) q[6], q[1];\ncrx(-0.0026) q[6], q[0];\ncrx(-0.0052) q[5], q[10];\ncrx(-0.0057) q[5], q[9];\ncrx(-0.0034) q[5], q[8];\ncrx(0.0066) q[5], q[7];\ncrx(-0.0062) q[5], q[6];\ncrx(-0.0053) q[5], q[4];\ncrx(-0.004) q[5], q[3];\ncrx(0.1517) q[5], q[2];\ncrx(-0.0046) q[5], q[1];\ncrx(-0.0026) q[5], q[0];\ncrx(-0.0052) q[4], q[10];\ncrx(-0.0057) q[4], q[9];\ncrx(-0.0034) q[4], q[8];\ncrx(0.0066) q[4], q[7];\ncrx(-0.0062) q[4], q[6];\ncrx(-0.0036) q[4], q[5];\ncrx(-0.004) q[4], q[3];\ncrx(0.1517) q[4], q[2];\ncrx(-0.0046) q[4], q[1];\ncrx(-0.0026) q[4], q[0];\ncrx(-0.0052) q[3], q[10];\ncrx(-0.0057) q[3], q[9];\ncrx(-0.0034) q[3], q[8];\ncrx(0.0066) q[3], q[7];\ncrx(-0.0062) q[3], q[6];\ncrx(-0.0036) q[3], q[5];\ncrx(-0.0053) q[3], q[4];\ncrx(0.1517) q[3], q[2];\ncrx(-0.0046) q[3], q[1];\ncrx(-0.0026) q[3], q[0];\ncrx(-0.0052) q[2], q[10];\ncrx(-0.0057) q[2], q[9];\ncrx(-0.0034) q[2], q[8];\ncrx(0.0066) q[2], q[7];\ncrx(-0.0062) q[2], q[6];\ncrx(-0.0036) q[2], q[5];\ncrx(-0.0053) q[2], q[4];\ncrx(-0.004) q[2], q[3];\ncrx(-0.0046) q[2], q[1];\ncrx(-0.0026) q[2], q[0];\ncrx(-0.0052) q[1], q[10];\ncrx(-0.0057) q[1], q[9];\ncrx(-0.0034) q[1], q[8];\ncrx(0.0066) q[1], q[7];\ncrx(-0.0062) q[1], q[6];\ncrx(-0.0036) q[1], q[5];\ncrx(-0.0053) q[1], q[4];\ncrx(-0.004) q[1], q[3];\ncrx(0.1517) q[1], q[2];\ncrx(-0.0026) q[1], q[0];\ncrx(-0.0052) q[0], q[10];\ncrx(-0.0057) q[0], q[9];\ncrx(-0.0034) q[0], q[8];\ncrx(0.0066) q[0], q[7];\ncrx(-0.0062) q[0], q[6];\ncrx(-0.0036) q[0], q[5];\ncrx(-0.0053) q[0], q[4];\ncrx(-0.004) q[0], q[3];\ncrx(0.1517) q[0], q[2];\ncrx(-0.0046) q[0], q[1];\nrx(0.0269) q[0];\nrz(0.0019) q[0];\nrx(-0.0035) q[1];\nrz(0.003) q[1];\nrx(0.2985) q[2];\nrz(0.0084) q[2];\nrx(-0.0015) q[3];\nrz(0.0067) q[3];\nrx(-0.0059) q[4];\nrz(0.0044) q[4];\nrx(-0.0014) q[5];\nrz(0.0089) q[5];\nrx(-0.0018) q[6];\nrz(0.0074) q[6];\nrx(-0.0031) q[7];\nrz(0.0042) q[7];\nrx(-0.0041) q[8];\nrz(0.0091) q[8];\nrx(-0.0016) q[9];\nrz(0.0088) q[9];\nrx(-0.0014) q[10];\nrz(0.0069) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrx(x22) q[10], q[9];\ncrx(x23) q[10], q[8];\ncrx(x24) q[10], q[7];\ncrx(x25) q[10], q[6];\ncrx(x26) q[10], q[5];\ncrx(x27) q[10], q[4];\ncrx(x28) q[10], q[3];\ncrx(x29) q[10], q[2];\ncrx(x30) q[10], q[1];\ncrx(x31) q[10], q[0];\ncrx(x32) q[9], q[10];\ncrx(x23) q[9], q[8];\ncrx(x24) q[9], q[7];\ncrx(x25) q[9], q[6];\ncrx(x26) q[9], q[5];\ncrx(x27) q[9], q[4];\ncrx(x28) q[9], q[3];\ncrx(x29) q[9], q[2];\ncrx(x30) q[9], q[1];\ncrx(x31) q[9], q[0];\ncrx(x32) q[8], q[10];\ncrx(x22) q[8], q[9];\ncrx(x24) q[8], q[7];\ncrx(x25) q[8], q[6];\ncrx(x26) q[8], q[5];\ncrx(x27) q[8], q[4];\ncrx(x28) q[8], q[3];\ncrx(x29) q[8], q[2];\ncrx(x30) q[8], q[1];\ncrx(x31) q[8], q[0];\ncrx(x32) q[7], q[10];\ncrx(x22) q[7], q[9];\ncrx(x23) q[7], q[8];\ncrx(x25) q[7], q[6];\ncrx(x26) q[7], q[5];\ncrx(x27) q[7], q[4];\ncrx(x28) q[7], q[3];\ncrx(x29) q[7], q[2];\ncrx(x30) q[7], q[1];\ncrx(x31) q[7], q[0];\ncrx(x32) q[6], q[10];\ncrx(x22) q[6], q[9];\ncrx(x23) q[6], q[8];\ncrx(x24) q[6], q[7];\ncrx(x26) q[6], q[5];\ncrx(x27) q[6], q[4];\ncrx(x28) q[6], q[3];\ncrx(x29) q[6], q[2];\ncrx(x30) q[6], q[1];\ncrx(x31) q[6], q[0];\ncrx(x32) q[5], q[10];\ncrx(x22) q[5], q[9];\ncrx(x23) q[5], q[8];\ncrx(x24) q[5], q[7];\ncrx(x25) q[5], q[6];\ncrx(x27) q[5], q[4];\ncrx(x28) q[5], q[3];\ncrx(x29) q[5], q[2];\ncrx(x30) q[5], q[1];\ncrx(x31) q[5], q[0];\ncrx(x32) q[4], q[10];\ncrx(x22) q[4], q[9];\ncrx(x23) q[4], q[8];\ncrx(x24) q[4], q[7];\ncrx(x25) q[4], q[6];\ncrx(x26) q[4], q[5];\ncrx(x28) q[4], q[3];\ncrx(x29) q[4], q[2];\ncrx(x30) q[4], q[1];\ncrx(x31) q[4], q[0];\ncrx(x32) q[3], q[10];\ncrx(x22) q[3], q[9];\ncrx(x23) q[3], q[8];\ncrx(x24) q[3], q[7];\ncrx(x25) q[3], q[6];\ncrx(x26) q[3], q[5];\ncrx(x27) q[3], q[4];\ncrx(x29) q[3], q[2];\ncrx(x30) q[3], q[1];\ncrx(x31) q[3], q[0];\ncrx(x32) q[2], q[10];\ncrx(x22) q[2], q[9];\ncrx(x23) q[2], q[8];\ncrx(x24) q[2], q[7];\ncrx(x25) q[2], q[6];\ncrx(x26) q[2], q[5];\ncrx(x27) q[2], q[4];\ncrx(x28) q[2], q[3];\ncrx(x30) q[2], q[1];\ncrx(x31) q[2], q[0];\ncrx(x32) q[1], q[10];\ncrx(x22) q[1], q[9];\ncrx(x23) q[1], q[8];\ncrx(x24) q[1], q[7];\ncrx(x25) q[1], q[6];\ncrx(x26) q[1], q[5];\ncrx(x27) q[1], q[4];\ncrx(x28) q[1], q[3];\ncrx(x29) q[1], q[2];\ncrx(x31) q[1], q[0];\ncrx(x32) q[0], q[10];\ncrx(x22) q[0], q[9];\ncrx(x23) q[0], q[8];\ncrx(x24) q[0], q[7];\ncrx(x25) q[0], q[6];\ncrx(x26) q[0], q[5];\ncrx(x27) q[0], q[4];\ncrx(x28) q[0], q[3];\ncrx(x29) q[0], q[2];\ncrx(x30) q[0], q[1];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x35) q[3];\nrz(x39) q[3];\nrx(x40) q[4];\nrz(x41) q[4];\nrx(x42) q[5];\nrz(x43) q[5];\nrx(x44) q[6];\nrz(x45) q[6];\nrx(x46) q[7];\nrz(x47) q[7];\nrx(x48) q[8];\nrz(x49) q[8];\nrx(x50) q[9];\nrz(x51) q[9];\nrx(x52) q[10];\nrz(x19) q[10];\nrx(x53) q[0];\nrz(x54) q[0];\nrx(x55) q[1];\nrz(x49) q[1];\nrx(x56) q[2];\nrz(x57) q[2];\nrx(x58) q[3];\nrz(x59) q[3];\nrx(x60) q[4];\nrz(x61) q[4];\nrx(x62) q[5];\nrz(x61) q[5];\nrx(x63) q[6];\nrz(x64) q[6];\nrx(x23) q[7];\nrz(x65) q[7];\nrx(x66) q[8];\nrz(x17) q[8];\nrx(x67) q[9];\nrz(x68) q[9];\nrx(x69) q[10];\nrz(x70) q[10];\ncrx(x71) q[10], q[9];\ncrx(x72) q[10], q[8];\ncrx(x73) q[10], q[7];\ncrx(x74) q[10], q[6];\ncrx(x75) q[10], q[5];\ncrx(x76) q[10], q[4];\ncrx(x55) q[10], q[3];\ncrx(x77) q[10], q[2];\ncrx(x78) q[10], q[1];\ncrx(x79) q[10], q[0];\ncrx(x80) q[9], q[10];\ncrx(x72) q[9], q[8];\ncrx(x73) q[9], q[7];\ncrx(x74) q[9], q[6];\ncrx(x75) q[9], q[5];\ncrx(x76) q[9], q[4];\ncrx(x55) q[9], q[3];\ncrx(x77) q[9], q[2];\ncrx(x78) q[9], q[1];\ncrx(x79) q[9], q[0];\ncrx(x80) q[8], q[10];\ncrx(x71) q[8], q[9];\ncrx(x73) q[8], q[7];\ncrx(x74) q[8], q[6];\ncrx(x75) q[8], q[5];\ncrx(x76) q[8], q[4];\ncrx(x55) q[8], q[3];\ncrx(x77) q[8], q[2];\ncrx(x78) q[8], q[1];\ncrx(x79) q[8], q[0];\ncrx(x80) q[7], q[10];\ncrx(x71) q[7], q[9];\ncrx(x72) q[7], q[8];\ncrx(x74) q[7], q[6];\ncrx(x75) q[7], q[5];\ncrx(x76) q[7], q[4];\ncrx(x55) q[7], q[3];\ncrx(x77) q[7], q[2];\ncrx(x78) q[7], q[1];\ncrx(x79) q[7], q[0];\ncrx(x80) q[6], q[10];\ncrx(x71) q[6], q[9];\ncrx(x72) q[6], q[8];\ncrx(x73) q[6], q[7];\ncrx(x75) q[6], q[5];\ncrx(x76) q[6], q[4];\ncrx(x55) q[6], q[3];\ncrx(x77) q[6], q[2];\ncrx(x78) q[6], q[1];\ncrx(x79) q[6], q[0];\ncrx(x80) q[5], q[10];\ncrx(x71) q[5], q[9];\ncrx(x72) q[5], q[8];\ncrx(x73) q[5], q[7];\ncrx(x74) q[5], q[6];\ncrx(x76) q[5], q[4];\ncrx(x55) q[5], q[3];\ncrx(x77) q[5], q[2];\ncrx(x78) q[5], q[1];\ncrx(x79) q[5], q[0];\ncrx(x80) q[4], q[10];\ncrx(x71) q[4], q[9];\ncrx(x72) q[4], q[8];\ncrx(x73) q[4], q[7];\ncrx(x74) q[4], q[6];\ncrx(x75) q[4], q[5];\ncrx(x55) q[4], q[3];\ncrx(x77) q[4], q[2];\ncrx(x78) q[4], q[1];\ncrx(x79) q[4], q[0];\ncrx(x80) q[3], q[10];\ncrx(x71) q[3], q[9];\ncrx(x72) q[3], q[8];\ncrx(x73) q[3], q[7];\ncrx(x74) q[3], q[6];\ncrx(x75) q[3], q[5];\ncrx(x76) q[3], q[4];\ncrx(x77) q[3], q[2];\ncrx(x78) q[3], q[1];\ncrx(x79) q[3], q[0];\ncrx(x80) q[2], q[10];\ncrx(x71) q[2], q[9];\ncrx(x72) q[2], q[8];\ncrx(x73) q[2], q[7];\ncrx(x74) q[2], q[6];\ncrx(x75) q[2], q[5];\ncrx(x76) q[2], q[4];\ncrx(x55) q[2], q[3];\ncrx(x78) q[2], q[1];\ncrx(x79) q[2], q[0];\ncrx(x80) q[1], q[10];\ncrx(x71) q[1], q[9];\ncrx(x72) q[1], q[8];\ncrx(x73) q[1], q[7];\ncrx(x74) q[1], q[6];\ncrx(x75) q[1], q[5];\ncrx(x76) q[1], q[4];\ncrx(x55) q[1], q[3];\ncrx(x77) q[1], q[2];\ncrx(x79) q[1], q[0];\ncrx(x80) q[0], q[10];\ncrx(x71) q[0], q[9];\ncrx(x72) q[0], q[8];\ncrx(x73) q[0], q[7];\ncrx(x74) q[0], q[6];\ncrx(x75) q[0], q[5];\ncrx(x76) q[0], q[4];\ncrx(x55) q[0], q[3];\ncrx(x77) q[0], q[2];\ncrx(x78) q[0], q[1];\nrx(x28) q[0];\nrz(x81) q[0];\nrx(x82) q[1];\nrz(x83) q[1];\nrx(x84) q[2];\nrz(x12) q[2];\nrx(x85) q[3];\nrz(x86) q[3];\nrx(x87) q[4];\nrz(x70) q[4];\nrx(x62) q[5];\nrz(x88) q[5];\nrx(x18) q[6];\nrz(x89) q[6];\nrx(x67) q[7];\nrz(x90) q[7];\nrx(x57) q[8];\nrz(x91) q[8];\nrx(x48) q[9];\nrz(x92) q[9];\nrx(x93) q[10];\nrz(x41) q[10];\nrx(x94) q[0];\nrz(x95) q[0];\nrx(x96) q[1];\nrz(x97) q[1];\nrx(x98) q[2];\nrz(x57) q[2];\nrx(x99) q[3];\nrz(x100) q[3];\nrx(x101) q[4];\nrz(x102) q[4];\nrx(x103) q[5];\nrz(x104) q[5];\nrx(x105) q[6];\nrz(x106) q[6];\nrx(x107) q[7];\nrz(x108) q[7];\nrx(x109) q[8];\nrz(x110) q[8];\nrx(x109) q[9];\nrz(x111) q[9];\nrx(x53) q[10];\nrz(x88) q[10];\ncrx(x6) q[10], q[9];\ncrx(x112) q[10], q[8];\ncrx(x113) q[10], q[7];\ncrx(x46) q[10], q[6];\ncrx(x114) q[10], q[5];\ncrx(x115) q[10], q[4];\ncrx(x76) q[10], q[3];\ncrx(x116) q[10], q[2];\ncrx(x117) q[10], q[1];\ncrx(x107) q[10], q[0];\ncrx(x118) q[9], q[10];\ncrx(x112) q[9], q[8];\ncrx(x113) q[9], q[7];\ncrx(x46) q[9], q[6];\ncrx(x114) q[9], q[5];\ncrx(x115) q[9], q[4];\ncrx(x76) q[9], q[3];\ncrx(x116) q[9], q[2];\ncrx(x117) q[9], q[1];\ncrx(x107) q[9], q[0];\ncrx(x118) q[8], q[10];\ncrx(x6) q[8], q[9];\ncrx(x113) q[8], q[7];\ncrx(x46) q[8], q[6];\ncrx(x114) q[8], q[5];\ncrx(x115) q[8], q[4];\ncrx(x76) q[8], q[3];\ncrx(x116) q[8], q[2];\ncrx(x117) q[8], q[1];\ncrx(x107) q[8], q[0];\ncrx(x118) q[7], q[10];\ncrx(x6) q[7], q[9];\ncrx(x112) q[7], q[8];\ncrx(x46) q[7], q[6];\ncrx(x114) q[7], q[5];\ncrx(x115) q[7], q[4];\ncrx(x76) q[7], q[3];\ncrx(x116) q[7], q[2];\ncrx(x117) q[7], q[1];\ncrx(x107) q[7], q[0];\ncrx(x118) q[6], q[10];\ncrx(x6) q[6], q[9];\ncrx(x112) q[6], q[8];\ncrx(x113) q[6], q[7];\ncrx(x114) q[6], q[5];\ncrx(x115) q[6], q[4];\ncrx(x76) q[6], q[3];\ncrx(x116) q[6], q[2];\ncrx(x117) q[6], q[1];\ncrx(x107) q[6], q[0];\ncrx(x118) q[5], q[10];\ncrx(x6) q[5], q[9];\ncrx(x112) q[5], q[8];\ncrx(x113) q[5], q[7];\ncrx(x46) q[5], q[6];\ncrx(x115) q[5], q[4];\ncrx(x76) q[5], q[3];\ncrx(x116) q[5], q[2];\ncrx(x117) q[5], q[1];\ncrx(x107) q[5], q[0];\ncrx(x118) q[4], q[10];\ncrx(x6) q[4], q[9];\ncrx(x112) q[4], q[8];\ncrx(x113) q[4], q[7];\ncrx(x46) q[4], q[6];\ncrx(x114) q[4], q[5];\ncrx(x76) q[4], q[3];\ncrx(x116) q[4], q[2];\ncrx(x117) q[4], q[1];\ncrx(x107) q[4], q[0];\ncrx(x118) q[3], q[10];\ncrx(x6) q[3], q[9];\ncrx(x112) q[3], q[8];\ncrx(x113) q[3], q[7];\ncrx(x46) q[3], q[6];\ncrx(x114) q[3], q[5];\ncrx(x115) q[3], q[4];\ncrx(x116) q[3], q[2];\ncrx(x117) q[3], q[1];\ncrx(x107) q[3], q[0];\ncrx(x118) q[2], q[10];\ncrx(x6) q[2], q[9];\ncrx(x112) q[2], q[8];\ncrx(x113) q[2], q[7];\ncrx(x46) q[2], q[6];\ncrx(x114) q[2], q[5];\ncrx(x115) q[2], q[4];\ncrx(x76) q[2], q[3];\ncrx(x117) q[2], q[1];\ncrx(x107) q[2], q[0];\ncrx(x118) q[1], q[10];\ncrx(x6) q[1], q[9];\ncrx(x112) q[1], q[8];\ncrx(x113) q[1], q[7];\ncrx(x46) q[1], q[6];\ncrx(x114) q[1], q[5];\ncrx(x115) q[1], q[4];\ncrx(x76) q[1], q[3];\ncrx(x116) q[1], q[2];\ncrx(x107) q[1], q[0];\ncrx(x118) q[0], q[10];\ncrx(x6) q[0], q[9];\ncrx(x112) q[0], q[8];\ncrx(x113) q[0], q[7];\ncrx(x46) q[0], q[6];\ncrx(x114) q[0], q[5];\ncrx(x115) q[0], q[4];\ncrx(x76) q[0], q[3];\ncrx(x116) q[0], q[2];\ncrx(x117) q[0], q[1];\nrx(x119) q[0];\nrz(x120) q[0];\nrx(x16) q[1];\nrz(x78) q[1];\nrx(x121) q[2];\nrz(x122) q[2];\nrx(x123) q[3];\nrz(x124) q[3];\nrx(x125) q[4];\nrz(x126) q[4];\nrx(x127) q[5];\nrz(x128) q[5];\nrx(x26) q[6];\nrz(x129) q[6];\nrx(x80) q[7];\nrz(x130) q[7];\nrx(x62) q[8];\nrz(x131) q[8];\nrx(x42) q[9];\nrz(x132) q[9];\nrx(x127) q[10];\nrz(x133) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["117868407919961854","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[2, 4, 5], [0, 1, 5, 7], [1, 4, 6], [1, 5, 6], [3, 4], [0, 1, 3, 6], [2, 3, 6], [0, 4]]}","{\"states\": [150, 244], \"expectation_value\": -0.07909657694591712, \"params\": [[-0.0734], [0.0784]], \"bitstrings\": [\"01101001\", \"00001011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004262736689987156, 0.004287679461669412], \"optimization_time\": 2.8135640621185303}","0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(6)) + 0.33333333333333326 * Z(4) + 0.3333333333333333 * Z(2) + 0.45833333333333337 * Z(5) + 0.25 * Z(0) + 0.5833333333333333 * Z(1) + 0.125 * Z(7) + 0.625 * Z(6) + 0.29166666666666685 * Z(3)",1,8,1,"{\"smallest_eigenvalues\": [-2.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.333333333333333, \"smallest_bitstrings\": [\"00001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[2];\nrz(-0.0245) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(-0.0245) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(-0.0245) q[5];\ncx q[2], q[5];\ncx q[4], q[0];\nrz(-0.0734) q[0];\ncx q[4], q[0];\ncx q[5], q[0];\nrz(-0.0122) q[0];\ncx q[5], q[0];\ncx q[4], q[1];\nrz(-0.0245) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.0367) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(-0.0245) q[1];\ncx q[0], q[1];\ncx q[5], q[7];\nrz(-0.0122) q[7];\ncx q[5], q[7];\ncx q[0], q[7];\nrz(-0.0122) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(-0.0122) q[7];\ncx q[1], q[7];\ncx q[4], q[6];\nrz(-0.0245) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(-0.0245) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(-0.0245) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(-0.0122) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(-0.0612) q[6];\ncx q[1], q[6];\ncx q[4], q[3];\nrz(-0.0734) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(-0.0245) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0122) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(-0.0122) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(-0.0367) q[3];\ncx q[6], q[3];\nrz(-0.0489) q[4];\nrz(-0.0489) q[2];\nrz(-0.0673) q[5];\nrz(-0.0367) q[0];\nrz(-0.0856) q[1];\nrz(-0.0184) q[7];\nrz(-0.0918) q[6];\nrz(-0.0428) q[3];\nh q[0];\nrz(0.1568) q[0];\nh q[0];\nh q[1];\nrz(0.1568) q[1];\nh q[1];\nh q[2];\nrz(0.1568) q[2];\nh q[2];\nh q[3];\nrz(0.1568) q[3];\nh q[3];\nh q[4];\nrz(0.1568) q[4];\nh q[4];\nh q[5];\nrz(0.1568) q[5];\nh q[5];\nh q[6];\nrz(0.1568) q[6];\nh q[6];\nh q[7];\nrz(0.1568) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[4], q[0];\nrz(x1) q[0];\ncx q[4], q[0];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x3) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[0], q[7];\nrz(x2) q[7];\ncx q[0], q[7];\ncx q[1], q[7];\nrz(x2) q[7];\ncx q[1], q[7];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[1], q[6];\nrz(x4) q[6];\ncx q[1], q[6];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[6], q[3];\nrz(x3) q[3];\ncx q[6], q[3];\nrz(x5) q[4];\nrz(x5) q[2];\nrz(x6) q[5];\nrz(x3) q[0];\nrz(x7) q[1];\nrz(x8) q[7];\nrz(x9) q[6];\nrz(x10) q[3];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["ebed2b2f1ddd19051c3f8f1e6db408b8","graph_isomorphism","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}], \"edges\": []}","{\"states\": [411, 413], \"expectation_value\": -5.710684425785296, \"params\": null, \"bitstrings\": [\"001100100\", \"001100010\"], \"total_optimization_steps\": 64, \"probabilities\": [0.05865541747741881, 0.8578073217068284], \"optimization_time\": 99.92933559417725}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 1.0 * Z(2) + 1.0 * Z(0) + 1.0 * Z(1) + 1.0 * Z(3) + 1.0 * Z(5) + 1.0 * Z(4) + 1.0 * Z(6) + 1.0 * Z(8) + 1.0 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001100010\", \"100001010\", \"010001100\", \"001010100\", \"010100001\", \"100010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nry(1.5681) q[4];\nry(1.5681) q[0];\ncry(-1.0342) q[6], q[7];\ncry(-1.0342) q[5], q[2];\nry(1.3762) q[1];\ncry(-0.5042) q[1], q[2];\nry(1.1464) q[5];\ncry(-1.3967) q[5], q[3];\ncry(1.2149) q[8], q[6];\ncry(-0.9548) q[8], q[7];\ncry(-0.4336) q[8], q[2];\nry(0.3272) q[6];\ncry(0.2697) q[0], q[5];\ncry(-0.2088) q[6], q[3];\ncry(0.1853) q[6], q[1];\ncry(-0.091) q[4], q[7];\ncry(-0.0631) q[4], q[2];\ncry(0.0395) q[1], q[5];\ncry(0.0261) q[0], q[6];\ncry(-0.0085) q[0], q[2];\ncry(-0.0071) q[1], q[7];\ncry(-0.0381) q[3], q[5];\ncry(-0.0336) q[2], q[5];\ncry(0.022) q[2], q[3];\nry(0.0076) q[2];\ncry(0.0208) q[7], q[3];\ncry(0.0001) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 2}, {\"id\": 1}], \"edges\": []}}",{"$cut":{"chars":53551,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nry(1.3762) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nry(1.3762) q[1];\\ncry(-0.5042) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nry(1.3762) q[1];\\ncry(-0.5042) q[1], q[2];\\nry(1.1464) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(1.5681) q[8];\\nry(1.5681) q[4];\\nry(1.5681) q[0];\\ncry(-1.0342) q[6], q[7];\\ncry(-1.0342) q[5], q[2];\\nry(1.3762) q[1];\\ncry(-0.5042) q[1], q[2];\\nry(1.1464) q[5];\\ncry(-1.3967) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3"}}]
["3818ce8f8ec333f1e3cdd221545ea640","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 1}, {\"weight\": 13, \"source\": 0, \"target\": 6}, {\"weight\": 14, \"source\": 1, \"target\": 3}, {\"weight\": 1, \"source\": 2, \"target\": 3}, {\"weight\": 19, \"source\": 2, \"target\": 5}, {\"weight\": 12, \"source\": 3, \"target\": 4}, {\"weight\": 19, \"source\": 3, \"target\": 6}, {\"weight\": 3, \"source\": 4, \"target\": 5}]}","{\"states\": [174, 110], \"expectation_value\": -10.91427312036831, \"params\": [[0.0332, -0.0238, 0.038200000000000005], [-0.0494, -0.0068000000000000005, -0.0395]], \"bitstrings\": [\"01010001\", \"10010001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008233148068069279, 0.009458798166010932], \"optimization_time\": 5.716000318527222}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 6.5 * Z(1) + 1.5 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 9.5 * Z(4) + 14.0 * Z(5) + 17.5 * Z(6) + 1.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-67.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -57.0, \"smallest_bitstrings\": [\"10010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.2656) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.2656) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(0.2656) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(0.2656) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.2656) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.2656) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(0.2656) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.2656) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.2656) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.2656) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(0.2656) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.2656) q[7];\ncx q[5], q[7];\nrz(0.4316) q[1];\nrz(0.0996) q[0];\nrz(0.996) q[2];\nrz(0.5644) q[3];\nrz(0.6308) q[4];\nrz(0.9296) q[5];\nrz(1.162) q[6];\nrz(0.0996) q[7];\nh q[0];\nrz(-0.0988) q[0];\nh q[0];\nh q[1];\nrz(-0.0988) q[1];\nh q[1];\nh q[2];\nrz(-0.0988) q[2];\nh q[2];\nh q[3];\nrz(-0.0988) q[3];\nh q[3];\nh q[4];\nrz(-0.0988) q[4];\nh q[4];\nh q[5];\nrz(-0.0988) q[5];\nh q[5];\nh q[6];\nrz(-0.0988) q[6];\nh q[6];\nh q[7];\nrz(-0.0988) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.1904) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1904) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(-0.1904) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(-0.1904) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(-0.1904) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.1904) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(-0.1904) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(-0.1904) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(-0.1904) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.1904) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(-0.1904) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.1904) q[7];\ncx q[5], q[7];\nrz(-0.3094) q[1];\nrz(-0.0714) q[0];\nrz(-0.714) q[2];\nrz(-0.4046) q[3];\nrz(-0.4522) q[4];\nrz(-0.6664) q[5];\nrz(-0.833) q[6];\nrz(-0.0714) q[7];\nh q[0];\nrz(-0.0136) q[0];\nh q[0];\nh q[1];\nrz(-0.0136) q[1];\nh q[1];\nh q[2];\nrz(-0.0136) q[2];\nh q[2];\nh q[3];\nrz(-0.0136) q[3];\nh q[3];\nh q[4];\nrz(-0.0136) q[4];\nh q[4];\nh q[5];\nrz(-0.0136) q[5];\nh q[5];\nh q[6];\nrz(-0.0136) q[6];\nh q[6];\nh q[7];\nrz(-0.0136) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.3056) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.3056) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(0.3056) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(0.3056) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.3056) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.3056) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(0.3056) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.3056) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.3056) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.3056) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(0.3056) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.3056) q[7];\ncx q[5], q[7];\nrz(0.4966) q[1];\nrz(0.1146) q[0];\nrz(1.146) q[2];\nrz(0.6494) q[3];\nrz(0.7258) q[4];\nrz(1.0696) q[5];\nrz(1.337) q[6];\nrz(0.1146) q[7];\nh q[0];\nrz(-0.079) q[0];\nh q[0];\nh q[1];\nrz(-0.079) q[1];\nh q[1];\nh q[2];\nrz(-0.079) q[2];\nh q[2];\nh q[3];\nrz(-0.079) q[3];\nh q[3];\nh q[4];\nrz(-0.079) q[4];\nh q[4];\nh q[5];\nrz(-0.079) q[5];\nh q[5];\nh q[6];\nrz(-0.079) q[6];\nh q[6];\nh q[7];\nrz(-0.079) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x2) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x9) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x9) q[7];\ncx q[5], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[3];\nrz(x14) q[4];\nrz(x15) q[5];\nrz(x16) q[6];\nrz(x11) q[7];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x18) q[2];\ncx q[0], q[2];\ncx q[2], q[3];\nrz(x18) q[3];\ncx q[2], q[3];\ncx q[3], q[4];\nrz(x18) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x18) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x18) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x18) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x18) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x18) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x18) q[6];\ncx q[5], q[6];\ncx q[4], q[7];\nrz(x18) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x18) q[7];\ncx q[5], q[7];\nrz(x19) q[1];\nrz(x20) q[0];\nrz(x21) q[2];\nrz(x22) q[3];\nrz(x23) q[4];\nrz(x24) q[5];\nrz(x25) q[6];\nrz(x20) q[7];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["4c20f1c198d9974c2e06b7b7ac531193","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 5, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 4, \"source\": 4, \"target\": 6}, {\"capacity\": 5, \"source\": 6, \"target\": 7}]}","{\"states\": [123, 127], \"expectation_value\": -1.0280555221551548, \"params\": [[0.0381, 0.026500000000000003, 0.061200000000000004, 0.043500000000000004], [-0.040400000000000005, -0.0058000000000000005, -0.041, -0.038]], \"bitstrings\": [\"10000100\", \"10000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006910950757602436, 0.00732834838975978], \"optimization_time\": 6.19946551322937}","-0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-7.5, -7.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"10000100\", \"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.0191) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0953) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0191) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0572) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(-0.0191) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(-0.0381) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0381) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.0953) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.0762) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(0.0572) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(-0.0953) q[7];\ncx q[6], q[7];\nrz(-0.0381) q[1];\nrz(-0.0191) q[0];\nrz(0.1143) q[2];\nrz(0.0381) q[3];\nrz(0.0953) q[4];\nrz(-0.0762) q[5];\nrz(-0.0762) q[6];\nrz(-0.0381) q[7];\nh q[0];\nrz(-0.0808) q[0];\nh q[0];\nh q[1];\nrz(-0.0808) q[1];\nh q[1];\nh q[2];\nrz(-0.0808) q[2];\nh q[2];\nh q[3];\nrz(-0.0808) q[3];\nh q[3];\nh q[4];\nrz(-0.0808) q[4];\nh q[4];\nh q[5];\nrz(-0.0808) q[5];\nh q[5];\nh q[6];\nrz(-0.0808) q[6];\nh q[6];\nh q[7];\nrz(-0.0808) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0133) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0663) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0133) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0398) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(-0.0133) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(-0.0265) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0265) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.0663) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.053) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(0.0398) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(-0.0663) q[7];\ncx q[6], q[7];\nrz(-0.0265) q[1];\nrz(-0.0133) q[0];\nrz(0.0795) q[2];\nrz(0.0265) q[3];\nrz(0.0663) q[4];\nrz(-0.053) q[5];\nrz(-0.053) q[6];\nrz(-0.0265) q[7];\nh q[0];\nrz(-0.0116) q[0];\nh q[0];\nh q[1];\nrz(-0.0116) q[1];\nh q[1];\nh q[2];\nrz(-0.0116) q[2];\nh q[2];\nh q[3];\nrz(-0.0116) q[3];\nh q[3];\nh q[4];\nrz(-0.0116) q[4];\nh q[4];\nh q[5];\nrz(-0.0116) q[5];\nh q[5];\nh q[6];\nrz(-0.0116) q[6];\nh q[6];\nh q[7];\nrz(-0.0116) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0306) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.153) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0306) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0918) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(-0.0306) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(-0.0612) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0612) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.153) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.1224) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(0.0918) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(-0.153) q[7];\ncx q[6], q[7];\nrz(-0.0612) q[1];\nrz(-0.0306) q[0];\nrz(0.1836) q[2];\nrz(0.0612) q[3];\nrz(0.153) q[4];\nrz(-0.1224) q[5];\nrz(-0.1224) q[6];\nrz(-0.0612) q[7];\nh q[0];\nrz(-0.082) q[0];\nh q[0];\nh q[1];\nrz(-0.082) q[1];\nh q[1];\nh q[2];\nrz(-0.082) q[2];\nh q[2];\nh q[3];\nrz(-0.082) q[3];\nh q[3];\nh q[4];\nrz(-0.082) q[4];\nh q[4];\nh q[5];\nrz(-0.082) q[5];\nh q[5];\nh q[6];\nrz(-0.082) q[6];\nh q[6];\nh q[7];\nrz(-0.082) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.0218) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.1088) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0218) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.0653) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(-0.0218) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(-0.0435) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(-0.0435) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.1088) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(-0.087) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(0.0653) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(-0.1088) q[7];\ncx q[6], q[7];\nrz(-0.0435) q[1];\nrz(-0.0218) q[0];\nrz(0.1305) q[2];\nrz(0.0435) q[3];\nrz(0.1088) q[4];\nrz(-0.087) q[5];\nrz(-0.087) q[6];\nrz(-0.0435) q[7];\nh q[0];\nrz(-0.076) q[0];\nh q[0];\nh q[1];\nrz(-0.076) q[1];\nh q[1];\nh q[2];\nrz(-0.076) q[2];\nh q[2];\nh q[3];\nrz(-0.076) q[3];\nh q[3];\nh q[4];\nrz(-0.076) q[4];\nh q[4];\nh q[5];\nrz(-0.076) q[5];\nh q[5];\nh q[6];\nrz(-0.076) q[6];\nh q[6];\nh q[7];\nrz(-0.076) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x2) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x3) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x3) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x4) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(x5) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\nrz(x3) q[1];\nrz(x0) q[0];\nrz(x6) q[2];\nrz(x7) q[3];\nrz(x8) q[4];\nrz(x4) q[5];\nrz(x4) q[6];\nrz(x3) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x12) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x13) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x13) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x11) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x14) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(x15) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x11) q[7];\ncx q[6], q[7];\nrz(x13) q[1];\nrz(x10) q[0];\nrz(x16) q[2];\nrz(x17) q[3];\nrz(x18) q[4];\nrz(x14) q[5];\nrz(x14) q[6];\nrz(x13) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x21) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x22) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x20) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x23) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x23) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x21) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x24) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(x25) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x21) q[7];\ncx q[6], q[7];\nrz(x23) q[1];\nrz(x20) q[0];\nrz(x26) q[2];\nrz(x27) q[3];\nrz(x28) q[4];\nrz(x24) q[5];\nrz(x24) q[6];\nrz(x23) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x30) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x31) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x30) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x32) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x30) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x33) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x33) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x31) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x34) q[6];\ncx q[4], q[6];\ncx q[0], q[7];\nrz(x35) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x31) q[7];\ncx q[6], q[7];\nrz(x33) q[1];\nrz(x30) q[0];\nrz(x36) q[2];\nrz(x37) q[3];\nrz(x38) q[4];\nrz(x34) q[5];\nrz(x34) q[6];\nrz(x33) q[7];\nh q[0];\nrz(x39) q[0];\nh q[0];\nh q[1];\nrz(x39) q[1];\nh q[1];\nh q[2];\nrz(x39) q[2];\nh q[2];\nh q[3];\nrz(x39) q[3];\nh q[3];\nh q[4];\nrz(x39) q[4];\nh q[4];\nh q[5];\nrz(x39) q[5];\nh q[5];\nh q[6];\nrz(x39) q[6];\nh q[6];\nh q[7];\nrz(x39) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["44db6493095286b918fb0c5bac33de1d","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 3}, {\"weight\": 15, \"source\": 0, \"target\": 7}, {\"weight\": 19, \"source\": 0, \"target\": 4}, {\"weight\": 9, \"source\": 1, \"target\": 4}, {\"weight\": 6, \"source\": 2, \"target\": 5}, {\"weight\": 13, \"source\": 2, \"target\": 3}, {\"weight\": 12, \"source\": 2, \"target\": 7}, {\"weight\": 14, \"source\": 2, \"target\": 6}]}","{\"states\": [110, 107], \"expectation_value\": -9.86629785227922, \"params\": [[0.049100000000000005], [-0.078]], \"bitstrings\": [\"10010001\", \"10010100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00809542378610903, 0.00847096637148743], \"optimization_time\": 1.7847917079925537}","4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15.5 * Z(4) + 7.5 * Z(5) + 11.5 * Z(6) + 15.0 * Z(7)",1,8,1,"{\"smallest_eigenvalues\": [-63.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -57.5, \"smallest_bitstrings\": [\"10010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[2];\nrz(0.4419) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(0.4419) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(0.4419) q[1];\ncx q[2], q[1];\ncx q[1], q[3];\nrz(0.4419) q[3];\ncx q[1], q[3];\ncx q[0], q[4];\nrz(0.4419) q[4];\ncx q[0], q[4];\ncx q[4], q[5];\nrz(0.4419) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(0.4419) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.4419) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.4419) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.4419) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.4419) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.4419) q[7];\ncx q[6], q[7];\nrz(0.5892) q[0];\nrz(1.1784) q[2];\nrz(1.3748) q[1];\nrz(0) q[3];\nrz(1.5221) q[4];\nrz(0.7365) q[5];\nrz(1.1293) q[6];\nrz(1.473) q[7];\nh q[0];\nrz(-0.156) q[0];\nh q[0];\nh q[1];\nrz(-0.156) q[1];\nh q[1];\nh q[2];\nrz(-0.156) q[2];\nh q[2];\nh q[3];\nrz(-0.156) q[3];\nh q[3];\nh q[4];\nrz(-0.156) q[4];\nh q[4];\nh q[5];\nrz(-0.156) q[5];\nh q[5];\nh q[6];\nrz(-0.156) q[6];\nh q[6];\nh q[7];\nrz(-0.156) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[0];\nrz(x2) q[2];\nrz(x3) q[1];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["f83a24061b1538365ea5863841ae1bf9","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 6, \"source\": 0, \"target\": 1}, {\"weight\": 11, \"source\": 0, \"target\": 7}, {\"weight\": 12, \"source\": 0, \"target\": 3}, {\"weight\": 17, \"source\": 1, \"target\": 4}, {\"weight\": 11, \"source\": 1, \"target\": 6}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 6, \"source\": 4, \"target\": 5}, {\"weight\": 13, \"source\": 4, \"target\": 7}, {\"weight\": 8, \"source\": 6, \"target\": 7}]}","{\"states\": [498, 242], \"expectation_value\": -62.35721258693146, \"params\": [1.5152, 0.0041, 3.0967000000000002, 0.0025, 3.0887000000000002, 0.0097, 3.0947, 0.0066, 3.0926, 0.0023, 0.0029000000000000002, 0.006200000000000001, 0.7261000000000001, 0.0047, 3.0961000000000003, 0.0029000000000000002, 1.4528, 0.007500000000000001, 0.0088, 0.001, 0.0009000000000000001, 0.0035, 0.0055000000000000005, 0.00030000000000000003, 0.0097, 0.0032, 0.0022], \"bitstrings\": [\"000001101\", \"100001101\"], \"total_optimization_steps\": 310, \"probabilities\": [0.22997010756983857, 0.25701804539835094], \"optimization_time\": 29.668192386627197}","4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) + 12.0 * Z(0) + 10.5 * Z(1) + 10.0 * Z(4) + 17.5 * Z(3) + -2.5 * Z(5) + 3.0 * Z(6) + 15.5 * Z(7) + 8.5 * Z(8)",18,9,1,"{\"smallest_eigenvalues\": [-74.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -66.0, \"smallest_bitstrings\": [\"100001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(1.5152) q[0];\nrz(0.0041) q[0];\nrx(3.0967) q[1];\nrz(0.0025) q[1];\nrx(3.0887) q[2];\nrz(0.0097) q[2];\nrx(3.0947) q[3];\nrz(0.0066) q[3];\nrx(3.0926) q[4];\nrz(0.0023) q[4];\nrx(0.0029) q[5];\nrz(0.0062) q[5];\nrx(0.7261) q[6];\nrz(0.0047) q[6];\nrx(3.0961) q[7];\nrz(0.0029) q[7];\nrx(1.4528) q[8];\nrz(0.0075) q[8];\ncrz(0.0088) q[8], q[0];\ncrz(0.0022) q[7], q[8];\ncrz(0.0032) q[6], q[7];\ncrz(0.0097) q[5], q[6];\ncrz(0.0003) q[4], q[5];\ncrz(0.0055) q[3], q[4];\ncrz(0.0035) q[2], q[3];\ncrz(0.0009) q[1], q[2];\ncrz(0.001) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x10) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\ncrz(x17) q[8], q[0];\ncrz(x18) q[7], q[8];\ncrz(x19) q[6], q[7];\ncrz(x5) q[5], q[6];\ncrz(x20) q[4], q[5];\ncrz(x21) q[3], q[4];\ncrz(x22) q[2], q[3];\ncrz(x23) q[1], q[2];\ncrz(x24) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["cae836d786de7e539b96f215cbb6de9f","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 7}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [66, 82], \"expectation_value\": -6.321956912498129, \"params\": [0.0463, 0.0471, -0.0086, -0.012700000000000001, 0.30010000000000003, 0.3027, -0.013000000000000001, -0.0207, 0.2987, 0.29510000000000003, 0.07690000000000001, 0.0813, -0.0189, -0.0165, 0.3047, 0.3098, 0.0344, 0.0346, 0.0458, 0.0495, -0.0092, -0.013300000000000001, 0.3004, 0.3068, -0.013000000000000001, -0.018000000000000002, 0.29550000000000004, 0.2982, 0.0772, 0.08220000000000001, -0.0183, -0.0161, 0.3098, 0.3089, 0.028900000000000002, 0.0332, 0.0465, 0.0426, -0.011600000000000001, -0.013300000000000001, 0.3073, 0.29910000000000003, -0.0129, -0.019, 0.2932, 0.2898, 0.0746, 0.07680000000000001, -0.0152, -0.0233, 0.31020000000000003, 0.3094, 0.0315, 0.030000000000000002, 0.0395, 0.20320000000000002, -0.0937, 0.0154, -0.19190000000000002, -0.0767, 0.0074, -0.18330000000000002, -0.033100000000000004, -0.0005, -0.0028, -0.0296, -0.0731, -0.0026000000000000003, -0.1635, -0.0755, 0.1691, -0.1628, 0.2861, 0.2063, -0.08460000000000001, 0.0013000000000000002, -0.18610000000000002, -0.065, 0.0055000000000000005, -0.1066, -0.0035, -0.013300000000000001, 0.0001, -0.058, -0.0034000000000000002, 0.0015, -0.15990000000000001, 0.0024000000000000002, -0.008700000000000001, -0.155, 0.27990000000000004, 0.1726, 0.0357, 0.0081, -0.0095, 0.0787, -0.0044, 0.1786, -0.0465, 0.0064, -0.005200000000000001, 0.042300000000000004, 0.0027, 0.0021000000000000003, 0.15810000000000002, 0.0095, -0.1258, 0.1716], \"bitstrings\": [\"110111101\", \"110101101\"], \"total_optimization_steps\": 30, \"probabilities\": [0.1453118712603859, 0.21718823624681546], \"optimization_time\": 30.03208303451538}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * Z(3) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -2.0 * Z(6) + -2.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(7) + -1.5 * Z(8)",14,9,3,"{\"smallest_eigenvalues\": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"010111101\", \"110101011\", \"111101010\", \"111010101\", \"110110101\", \"110101101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.0463) q[0];\nry(-0.0086) q[1];\nry(0.3001) q[2];\nry(-0.013) q[3];\nry(0.2987) q[4];\nry(0.0769) q[5];\nry(-0.0189) q[6];\nry(0.3047) q[7];\nry(0.0344) q[8];\ncrx(0.0395) q[8], q[0];\ncrx(0.1691) q[7], q[8];\ncrx(-0.1635) q[6], q[7];\ncrx(-0.0731) q[5], q[6];\ncrx(-0.0028) q[4], q[5];\ncrx(-0.0331) q[3], q[4];\ncrx(0.0074) q[2], q[3];\ncrx(-0.1919) q[1], q[2];\ncrx(-0.0937) q[0], q[1];\nry(0.0471) q[0];\nry(-0.0127) q[1];\nry(0.3027) q[2];\nry(-0.0207) q[3];\nry(0.2951) q[4];\nry(0.0813) q[5];\nry(-0.0165) q[6];\nry(0.3098) q[7];\nry(0.0346) q[8];\ncrx(0.2032) q[8], q[7];\ncrx(0.0154) q[0], q[8];\ncrx(-0.0767) q[0], q[1];\ncrx(-0.1833) q[1], q[2];\ncrx(-0.0005) q[2], q[3];\ncrx(-0.0296) q[3], q[4];\ncrx(-0.0026) q[4], q[5];\ncrx(-0.0755) q[5], q[6];\ncrx(-0.1628) q[6], q[7];\nry(0.0458) q[0];\nry(-0.0092) q[1];\nry(0.3004) q[2];\nry(-0.013) q[3];\nry(0.2955) q[4];\nry(0.0772) q[5];\nry(-0.0183) q[6];\nry(0.3098) q[7];\nry(0.0289) q[8];\ncrx(0.2861) q[8], q[0];\ncrx(-0.0087) q[7], q[8];\ncrx(-0.1599) q[6], q[7];\ncrx(-0.0034) q[5], q[6];\ncrx(0.0001) q[4], q[5];\ncrx(-0.0035) q[3], q[4];\ncrx(0.0055) q[2], q[3];\ncrx(-0.1861) q[1], q[2];\ncrx(-0.0846) q[0], q[1];\nry(0.0495) q[0];\nry(-0.0133) q[1];\nry(0.3068) q[2];\nry(-0.018) q[3];\nry(0.2982) q[4];\nry(0.0822) q[5];\nry(-0.0161) q[6];\nry(0.3089) q[7];\nry(0.0332) q[8];\ncrx(0.2063) q[8], q[7];\ncrx(0.0013) q[0], q[8];\ncrx(-0.065) q[0], q[1];\ncrx(-0.1066) q[1], q[2];\ncrx(-0.0133) q[2], q[3];\ncrx(-0.058) q[3], q[4];\ncrx(0.0015) q[4], q[5];\ncrx(0.0024) q[5], q[6];\ncrx(-0.155) q[6], q[7];\nry(0.0465) q[0];\nry(-0.0116) q[1];\nry(0.3073) q[2];\nry(-0.0129) q[3];\nry(0.2932) q[4];\nry(0.0746) q[5];\nry(-0.0152) q[6];\nry(0.3102) q[7];\nry(0.0315) q[8];\ncrx(0.2799) q[8], q[0];\ncrx(-0.1258) q[7], q[8];\ncrx(0.1581) q[6], q[7];\ncrx(0.0027) q[5], q[6];\ncrx(-0.0052) q[4], q[5];\ncrx(-0.0465) q[3], q[4];\ncrx(-0.0044) q[2], q[3];\ncrx(-0.0095) q[1], q[2];\ncrx(0.0357) q[0], q[1];\nry(0.0426) q[0];\nry(-0.0133) q[1];\nry(0.2991) q[2];\nry(-0.019) q[3];\nry(0.2898) q[4];\nry(0.0768) q[5];\nry(-0.0233) q[6];\nry(0.3094) q[7];\nry(0.03) q[8];\ncrx(0.1726) q[8], q[7];\ncrx(0.0081) q[0], q[8];\ncrx(0.0787) q[0], q[1];\ncrx(0.1786) q[1], q[2];\ncrx(0.0064) q[2], q[3];\ncrx(0.0423) q[3], q[4];\ncrx(0.0021) q[4], q[5];\ncrx(0.0095) q[5], q[6];\ncrx(0.1716) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x31) q[2], q[3];\ncrx(x32) q[3], q[4];\ncrx(x33) q[4], q[5];\ncrx(x34) q[5], q[6];\ncrx(x35) q[6], q[7];\nry(x36) q[0];\nry(x37) q[1];\nry(x38) q[2];\nry(x3) q[3];\nry(x39) q[4];\nry(x40) q[5];\nry(x41) q[6];\nry(x25) q[7];\nry(x42) q[8];\ncrx(x43) q[8], q[0];\ncrx(x44) q[7], q[8];\ncrx(x45) q[6], q[7];\ncrx(x46) q[5], q[6];\ncrx(x47) q[4], q[5];\ncrx(x48) q[3], q[4];\ncrx(x49) q[2], q[3];\ncrx(x50) q[1], q[2];\ncrx(x51) q[0], q[1];\nry(x52) q[0];\nry(x53) q[1];\nry(x54) q[2];\nry(x55) q[3];\nry(x56) q[4];\nry(x57) q[5];\nry(x58) q[6];\nry(x59) q[7];\nry(x60) q[8];\ncrx(x61) q[8], q[7];\ncrx(x62) q[0], q[8];\ncrx(x63) q[0], q[1];\ncrx(x64) q[1], q[2];\ncrx(x53) q[2], q[3];\ncrx(x65) q[3], q[4];\ncrx(x66) q[4], q[5];\ncrx(x67) q[5], q[6];\ncrx(x68) q[6], q[7];\nry(x69) q[0];\nry(x70) q[1];\nry(x71) q[2];\nry(x72) q[3];\nry(x73) q[4];\nry(x74) q[5];\nry(x75) q[6];\nry(x76) q[7];\nry(x77) q[8];\ncrx(x78) q[8], q[0];\ncrx(x79) q[7], q[8];\ncrx(x80) q[6], q[7];\ncrx(x81) q[5], q[6];\ncrx(x82) q[4], q[5];\ncrx(x83) q[3], q[4];\ncrx(x84) q[2], q[3];\ncrx(x85) q[1], q[2];\ncrx(x86) q[0], q[1];\nry(x87) q[0];\nry(x53) q[1];\nry(x88) q[2];\nry(x89) q[3];\nry(x90) q[4];\nry(x91) q[5];\nry(x92) q[6];\nry(x93) q[7];\nry(x94) q[8];\ncrx(x95) q[8], q[7];\ncrx(x96) q[0], q[8];\ncrx(x97) q[0], q[1];\ncrx(x98) q[1], q[2];\ncrx(x99) q[2], q[3];\ncrx(x100) q[3], q[4];\ncrx(x101) q[4], q[5];\ncrx(x102) q[5], q[6];\ncrx(x103) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["5bfd79024282ae69c62758a244a2de56","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [56, 7], \"expectation_value\": -2.2127855701297507, \"params\": [[-0.0896], [0.082]], \"bitstrings\": [\"000111\", \"111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.02254377213338131, 0.023009192249583928], \"optimization_time\": 2.108088493347168}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.75 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.75 * Z(5)",16,6,1,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.3136) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.3136) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.3136) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.3584) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.3584) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.3584) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.3584) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.3584) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.3584) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.3584) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.3584) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.3136) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.3584) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.3136) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.3136) q[5];\ncx q[4], q[5];\nrz(0.0896) q[1];\nrz(0.1344) q[0];\nrz(0.0896) q[2];\nrz(0.0448) q[3];\nrz(0.0448) q[4];\nrz(0.1344) q[5];\nh q[0];\nrz(0.164) q[0];\nh q[0];\nh q[1];\nrz(0.164) q[1];\nh q[1];\nh q[2];\nrz(0.164) q[2];\nh q[2];\nh q[3];\nrz(0.164) q[3];\nh q[3];\nh q[4];\nrz(0.164) q[4];\nh q[4];\nh q[5];\nrz(0.164) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x4) q[3];\nrz(x4) q[4];\nrz(x3) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["-3361402175166855176","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4], \"hyperedges\": [[0, 2], [0, 1, 3], [3, 4]]}","{\"states\": [6, 18], \"expectation_value\": -1.2218086148497773, \"params\": null, \"bitstrings\": [\"11001\", \"01101\"], \"total_optimization_steps\": 25, \"probabilities\": [0.04655937780380764, 0.7962659496753344], \"optimization_time\": 12.486250638961792}","0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(3) + 0.0 * Z(4)",1,5,1,"{\"smallest_eigenvalues\": [-1.333333333333333, -1.333333333333333, -1.333333333333333], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -0.9999999999999999, \"smallest_bitstrings\": [\"10001\", \"01101\", \"00110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[3], q[4];\nry(0.971) q[3];\nry(-0.6611) q[4];\ncry(-1.0342) q[0], q[2];\nry(0.7884) q[0];\nry(-0.5281) q[2];\ncry(0.4426) q[3], q[0];\ncry(0.3424) q[0], q[3];\ncry(-0.3214) q[3], q[2];\ncry(-0.6063) q[0], q[1];\ncry(-0.2459) q[0], q[4];\ncry(-0.4125) q[3], q[1];\nry(-0.1525) q[1];\ncry(0.1578) q[4], q[0];\ncry(0.1415) q[2], q[3];\ncry(0.0755) q[2], q[1];\ncry(0.0704) q[4], q[1];\ncry(0.0628) q[1], q[0];\ncry(0.058) q[1], q[3];\ncry(-0.0508) q[2], q[0];\ncry(-0.0366) q[4], q[3];\ncry(0.0351) q[1], q[2];\ncry(-0.0179) q[4], q[2];\ncry(-0.0167) q[2], q[4];\ncry(0.0135) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\ncry(0.0704) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\ncry(0.0704) q[4], q[1];\\ncry(0.0628) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\ncry(0.0704) q[4], q[1];\\ncry(0.0628) q[1], q[0];\\ncry(0.058) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\ncry(0.0704) q[4], q[1];\\ncry(0.0628) q[1], q[0];\\ncry(0.058) q[1], q[3];\\ncry(-0.0508) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\ncry(0.0704) q[4], q[1];\\ncry(0.0628) q[1], q[0];\\ncry(0.058) q[1], q[3];\\ncry(-0.0508) q[2], q[0];\\ncry(-0.0366) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\ncry(0.0704) q[4], q[1];\\ncry(0.0628) q[1], q[0];\\ncry(0.058) q[1], q[3];\\ncry(-0.0508) q[2], q[0];\\ncry(-0.0366) q[4], q[3];\\ncry(0.0351) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\ncry(0.0704) q[4], q[1];\\ncry(0.0628) q[1], q[0];\\ncry(0.058) q[1], q[3];\\ncry(-0.0508) q[2], q[0];\\ncry(-0.0366) q[4], q[3];\\ncry(0.0351) q[1], q[2];\\ncry(-0.0179) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\ncry(0.0704) q[4], q[1];\\ncry(0.0628) q[1], q[0];\\ncry(0.058) q[1], q[3];\\ncry(-0.0508) q[2], q[0];\\ncry(-0.0366) q[4], q[3];\\ncry(0.0351) q[1], q[2];\\ncry(-0.0179) q[4], q[2];\\ncry(-0.0167) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\ncry(-1.0342) q[3], q[4];\\nry(0.971) q[3];\\nry(-0.6611) q[4];\\ncry(-1.0342) q[0], q[2];\\nry(0.7884) q[0];\\nry(-0.5281) q[2];\\ncry(0.4426) q[3], q[0];\\ncry(0.3424) q[0], q[3];\\ncry(-0.3214) q[3], q[2];\\ncry(-0.6063) q[0], q[1];\\ncry(-0.2459) q[0], q[4];\\ncry(-0.4125) q[3], q[1];\\nry(-0.1525) q[1];\\ncry(0.1578) q[4], q[0];\\ncry(0.1415) q[2], q[3];\\ncry(0.0755) q[2], q[1];\\ncry(0.0704) q[4], q[1];\\ncry(0.0628) q[1], q[0];\\ncry(0.058) q[1], q[3];\\ncry(-0.0508) q[2], q[0];\\ncry(-0.0366) q[4], q[3];\\ncry(0.0351) q[1], q[2];\\ncry(-0.0179) q[4], q[2];\\ncry(-0.0167) q[2], q[4];\\ncry(0.0135) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.2507, 0.3897, 0.2912, 0.2507, 0.2861, 0.2236, 0.1852, 0.1551, 0.1513, 0.1283, 0.1173, 0.1013, 0.0388, 0.0351, 0.0319, 0.0149, 0.0139, 0.0133, 0.0124, 0.0109, 0.0078, 0.0075, 0.0039, 0.0037, 0.0029]}"]
["abebab5175d0d0d89bf916154d0e1360","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [44, 38], \"expectation_value\": -4.4999003248204605, \"params\": null, \"bitstrings\": [\"010011\", \"011001\"], \"total_optimization_steps\": 28, \"probabilities\": [1.7187519564590576e-05, 0.9999500716492443], \"optimization_time\": 25.257461071014404}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4)",1,6,3,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nry(-1.4449) q[2];\nry(-1.4449) q[1];\nry(1.4417) q[3];\nry(1.4417) q[0];\nry(1.4384) q[4];\ncry(-0.1259) q[3], q[1];\ncry(-0.1259) q[4], q[2];\ncry(0.1246) q[3], q[4];\ncry(0.1218) q[4], q[0];\ncry(0.1214) q[0], q[3];\ncry(-0.0005) q[3], q[2];\ncry(-0.0005) q[4], q[1];\ncry(0.0076) q[0], q[4];\ncry(0.0069) q[3], q[0];\ncry(0.0069) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\ncry(-0.0005) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\ncry(-0.0005) q[3], q[2];\\ncry(-0.0005) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\ncry(-0.0005) q[3], q[2];\\ncry(-0.0005) q[4], q[1];\\ncry(0.0076) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\ncry(-0.0005) q[3], q[2];\\ncry(-0.0005) q[4], q[1];\\ncry(0.0076) q[0], q[4];\\ncry(0.0069) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\ncry(-0.0005) q[3], q[2];\\ncry(-0.0005) q[4], q[1];\\ncry(0.0076) q[0], q[4];\\ncry(0.0069) q[3], q[0];\\ncry(0.0069) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\ncry(-0.0005) q[3], q[2];\\ncry(-0.0005) q[4], q[1];\\ncry(0.0076) q[0], q[4];\\ncry(0.0069) q[3], q[0];\\ncry(0.0069) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\ncry(-0.0005) q[3], q[2];\\ncry(-0.0005) q[4], q[1];\\ncry(0.0076) q[0], q[4];\\ncry(0.0069) q[3], q[0];\\ncry(0.0069) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[5];\\nry(-1.4449) q[2];\\nry(-1.4449) q[1];\\nry(1.4417) q[3];\\nry(1.4417) q[0];\\nry(1.4384) q[4];\\ncry(-0.1259) q[3], q[1];\\ncry(-0.1259) q[4], q[2];\\ncry(0.1246) q[3], q[4];\\ncry(0.1218) q[4], q[0];\\ncry(0.1214) q[0], q[3];\\ncry(-0.0005) q[3], q[2];\\ncry(-0.0005) q[4], q[1];\\ncry(0.0076) q[0], q[4];\\ncry(0.0069) q[3], q[0];\\ncry(0.0069) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [2.0107, 0.5035, 0.5023, 0.4964, 0.4961, 0.4917, 0.1915, 0.1915, 0.0646, 0.0634, 0.0631, 0.01, 0.0075, 0.0075, 0.006, 0.006, 0.005, 0.005, 0.0045, 0.0045, 0.0038, 0.0038, 0.0035, 0.0031, 0.0031, 0.003, 0.003, 0.0025]}"]
["2035269790700121570","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[1, 3], [2, 5], [4, 5], [0, 3], [0, 1]]}","{\"states\": [49, 58], \"expectation_value\": -0.05561342533625128, \"params\": [[0.0753], [-0.0755]], \"bitstrings\": [\"001110\", \"000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.016687279279681586, 0.016687279279681586], \"optimization_time\": 0.4207422733306885}","0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(0)",1,6,1,"{\"smallest_eigenvalues\": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], \"number_of_smallest_eigenvalues\": 12, \"first_excited_energy\": -0.5, \"smallest_bitstrings\": [\"100001\", \"101110\", \"010001\", \"110001\", \"100101\", \"000101\", \"001110\", \"010101\", \"101010\", \"011110\", \"111010\", \"011010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[1];\nrz(0.0753) q[1];\ncx q[3], q[1];\ncx q[5], q[2];\nrz(0.0753) q[2];\ncx q[5], q[2];\ncx q[5], q[4];\nrz(0.0753) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\nrz(0.0753) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(0.0753) q[0];\ncx q[1], q[0];\nrz(0) q[3];\nrz(0) q[1];\nrz(0) q[5];\nrz(0) q[2];\nrz(0) q[4];\nrz(0) q[0];\nh q[0];\nrz(-0.151) q[0];\nh q[0];\nh q[1];\nrz(-0.151) q[1];\nh q[1];\nh q[2];\nrz(-0.151) q[2];\nh q[2];\nh q[3];\nrz(-0.151) q[3];\nh q[3];\nh q[4];\nrz(-0.151) q[4];\nh q[4];\nh q[5];\nrz(-0.151) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\nrz(x1) q[3];\nrz(x1) q[1];\nrz(x1) q[5];\nrz(x1) q[2];\nrz(x1) q[4];\nrz(x1) q[0];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["6b7ed53a34b4dd2aa2503ba0aafc7221","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 3}]}","{\"states\": [0, 1], \"expectation_value\": -4.723695973584359, \"params\": [[[0.0039000000000000003, 0.3546], [0.003, 0.4595], [-0.0005, 0.31270000000000003], [0.0016, 0.45830000000000004], [0.002, 0.4455], [0.6006, 0.0026000000000000003]], [[0.0013000000000000002, 0.3917], [0.0032, 0.45690000000000003], [0.0071, 0.4626], [0.004200000000000001, 0.464], [0.0046, 0.45370000000000005], [0.5987, 0.0026000000000000003]], [[0.0037, 0.003], [0.003, 0.0002], [0.0005, 0.0036000000000000003], [0.0016, 0.0015], [0.002, 0.0091], [0.5974, 0.0097]]], \"bitstrings\": [\"111111\", \"111110\"], \"total_optimization_steps\": 60, \"probabilities\": [0.3879946423405923, 0.6119278939051007], \"optimization_time\": 2.5366666316986084}","-0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4)",1,6,3,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.0039) q[0];\nrz(0.3546) q[0];\nrx(0.003) q[1];\nrz(0.4595) q[1];\nrx(-0.0005) q[2];\nrz(0.3127) q[2];\nrx(0.0016) q[3];\nrz(0.4583) q[3];\nrx(0.002) q[4];\nrz(0.4455) q[4];\nrx(0.6006) q[5];\nrz(0.0026) q[5];\nrx(0.0013) q[0];\nrz(0.3917) q[0];\nrx(0.0032) q[1];\nrz(0.4569) q[1];\nrx(0.0071) q[2];\nrz(0.4626) q[2];\nrx(0.0042) q[3];\nrz(0.464) q[3];\nrx(0.0046) q[4];\nrz(0.4537) q[4];\nrx(0.5987) q[5];\nrz(0.0026) q[5];\nrx(0.0037) q[0];\nrz(0.003) q[0];\nrx(0.003) q[1];\nrz(0.0002) q[1];\nrx(0.0005) q[2];\nrz(0.0036) q[2];\nrx(0.0016) q[3];\nrz(0.0015) q[3];\nrx(0.002) q[4];\nrz(0.0091) q[4];\nrx(0.5974) q[5];\nrz(0.0097) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[0];\nrz(x13) q[0];\nrx(x14) q[1];\nrz(x15) q[1];\nrx(x16) q[2];\nrz(x17) q[2];\nrx(x18) q[3];\nrz(x19) q[3];\nrx(x20) q[4];\nrz(x21) q[4];\nrx(x22) q[5];\nrz(x11) q[5];\nrx(x23) q[0];\nrz(x2) q[0];\nrx(x2) q[1];\nrz(x24) q[1];\nrx(x25) q[2];\nrz(x26) q[2];\nrx(x6) q[3];\nrz(x27) q[3];\nrx(x8) q[4];\nrz(x28) q[4];\nrx(x29) q[5];\nrz(x30) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["7eb25a4a5508592aaee9c259cef8964d","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}]}","{\"states\": [31, 223], \"expectation_value\": -9.411601129354068, \"params\": null, \"bitstrings\": [\"11100000\", \"00100000\"], \"total_optimization_steps\": 93, \"probabilities\": [0.16969613352186508, 0.5326013380397298], \"optimization_time\": 165.5780794620514}","-1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -0.5 * Z(2)",1,8,1,"{\"smallest_eigenvalues\": [-13.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.0, \"smallest_bitstrings\": [\"00100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[6], q[5];\nry(1.0383) q[6];\ncry(1.5708) q[5], q[4];\ncry(1.5708) q[4], q[3];\ncry(-0.8298) q[4], q[5];\ncry(-0.0145) q[3], q[5];\nry(-0.0897) q[5];\ncry(1.3049) q[2], q[5];\ncry(1.5708) q[6], q[7];\ncry(0.3235) q[7], q[5];\ncry(1.5486) q[0], q[1];\ncry(1.2305) q[1], q[0];\ncry(0.3227) q[0], q[5];\ncry(0.2622) q[5], q[6];\nry(0.2078) q[4];\nry(-1.3345) q[2];\ncry(-0.0615) q[3], q[6];\nry(-0.0447) q[3];\ncry(0.0788) q[5], q[3];\ncry(-0.0587) q[7], q[3];\ncry(-0.046) q[6], q[4];\ncry(0.0532) q[3], q[4];\ncry(-0.2949) q[5], q[2];\ncry(0.0988) q[1], q[5];\ncry(0.0966) q[0], q[6];\ncry(-0.0439) q[4], q[6];\nry(-0.075) q[7];\ncry(-0.0292) q[7], q[4];\ncry(0.0452) q[0], q[4];\ncry(0.0335) q[1], q[6];\ncry(0.0552) q[5], q[7];\ncry(0.2059) q[2], q[4];\ncry(-0.0304) q[1], q[7];\ncry(0.0132) q[6], q[3];\ncry(-0.0175) q[1], q[3];\nry(0.0162) q[1];\ncry(0.0168) q[4], q[7];\ncry(-0.0134) q[3], q[7];\ncry(0.0756) q[2], q[3];\ncry(0.0822) q[2], q[6];\ncry(0.005) q[7], q[6];\nry(0.0083) q[0];\ncry(0.0229) q[6], q[2];\ncry(-0.0024) q[1], q[4];\ncry(-0.0115) q[1], q[2];\ncry(0.0057) q[3], q[1];\ncry(0.011) q[4], q[2];\ncry(-0.009) q[3], q[2];\ncry(-0.0008) q[0], q[3];\ncry(0.0094) q[7], q[2];\ncry(-0.0102) q[0], q[2];\ncry(-0.0017) q[0], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"node\": 2}",{"$cut":{"chars":103699,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5];\\nry(1.0383) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5];\\nry(1.0383) q[6];\\ncry(1.5708) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5];\\nry(1.0383) q[6];\\ncry(1.5708) q[5], q[4];\\ncry(1.5708) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5];\\nry(1.0383) q[6];\\ncry(1.5708) q[5], q[4];\\ncry(1.5708) q[4], q[3];\\ncry(-0.8298) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5];\\nry(1.0383) q[6];\\ncry(1.5708) q[5], q[4];\\ncry(1.5708) q[4], q[3];\\ncry(-0.8298) q[4], q[5];\\ncry(-0.0145) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5];\\nry(1.0383) q[6];\\ncry(1.5708) q[5], q[4];\\ncry(1.5708) q[4], q[3];\\ncry(-0.8298) q[4], q[5];\\ncry(-0.0145) q[3], q[5];\\nry(-0.0897) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5];\\nry(1.0383) q[6];\\ncry(1.5708) q[5], q[4];\\ncry(1.5708) q[4], q[3];\\ncry(-0.8298) q[4], q[5];\\ncry(-0.0145) q[3], q[5];\\nry(-0.0897) q[5];\\ncry(1.3049) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5];\\nry(1.0383) q[6];\\ncry(1.5708) q[5], q[4];\\ncry(1.5708) q[4], q[3];\\ncry(-0.8298) q[4], q[5];\\ncry(-0.0145) q[3], q[5];\\nry(-0.0897) q[5];\\ncry(1.3049) q[2], q[5];\\ncry(1.5708) q[6], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(1.5708) q[6], q[5"}}]
["20a8103f07dd8a24047f028e6edcf2b9","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 8, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 2}, {\"weight\": 14, \"source\": 1, \"target\": 3}, {\"weight\": 14, \"source\": 1, \"target\": 4}, {\"weight\": 15, \"source\": 1, \"target\": 5}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 2, \"target\": 4}, {\"weight\": 10, \"source\": 4, \"target\": 5}]}","{\"states\": [235, 122], \"expectation_value\": -26.609574630892745, \"params\": [[-0.0386, 0.0083, -0.0142], [0.07300000000000001, 0.0497, 0.064]], \"bitstrings\": [\"00010100\", \"10000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.014721365261411984, 0.01734640052452272], \"optimization_time\": 9.860981225967407}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 12.0 * Z(0) + 15.0 * Z(2) + 19.0 * Z(3) + 15.5 * Z(4) + 6.0 * Z(5) + 13.5 * Z(6) + 9.0 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-67.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -61.5, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.3088) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.3088) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.3088) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.3088) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.3088) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.3088) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.3088) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.3088) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.3088) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(-0.3088) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(-0.3088) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.3088) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.3088) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.3088) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.3088) q[7];\ncx q[6], q[7];\nrz(-0.8878) q[1];\nrz(-0.9264) q[0];\nrz(-1.158) q[2];\nrz(-1.4668) q[3];\nrz(-1.1966) q[4];\nrz(-0.4632) q[5];\nrz(-1.0422) q[6];\nrz(-0.6948) q[7];\nh q[0];\nrz(0.146) q[0];\nh q[0];\nh q[1];\nrz(0.146) q[1];\nh q[1];\nh q[2];\nrz(0.146) q[2];\nh q[2];\nh q[3];\nrz(0.146) q[3];\nh q[3];\nh q[4];\nrz(0.146) q[4];\nh q[4];\nh q[5];\nrz(0.146) q[5];\nh q[5];\nh q[6];\nrz(0.146) q[6];\nh q[6];\nh q[7];\nrz(0.146) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0664) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0664) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0664) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.0664) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(0.0664) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0664) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0664) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0664) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0664) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(0.0664) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(0.0664) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0664) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(0.0664) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.0664) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0664) q[7];\ncx q[6], q[7];\nrz(0.1909) q[1];\nrz(0.1992) q[0];\nrz(0.249) q[2];\nrz(0.3154) q[3];\nrz(0.2573) q[4];\nrz(0.0996) q[5];\nrz(0.2241) q[6];\nrz(0.1494) q[7];\nh q[0];\nrz(0.0994) q[0];\nh q[0];\nh q[1];\nrz(0.0994) q[1];\nh q[1];\nh q[2];\nrz(0.0994) q[2];\nh q[2];\nh q[3];\nrz(0.0994) q[3];\nh q[3];\nh q[4];\nrz(0.0994) q[4];\nh q[4];\nh q[5];\nrz(0.0994) q[5];\nh q[5];\nh q[6];\nrz(0.0994) q[6];\nh q[6];\nh q[7];\nrz(0.0994) q[7];\nh q[7];\ncx q[1], q[0];\nrz(-0.1136) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1136) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.1136) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.1136) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(-0.1136) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.1136) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.1136) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.1136) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(-0.1136) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(-0.1136) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(-0.1136) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.1136) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(-0.1136) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.1136) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.1136) q[7];\ncx q[6], q[7];\nrz(-0.3266) q[1];\nrz(-0.3408) q[0];\nrz(-0.426) q[2];\nrz(-0.5396) q[3];\nrz(-0.4402) q[4];\nrz(-0.1704) q[5];\nrz(-0.3834) q[6];\nrz(-0.2556) q[7];\nh q[0];\nrz(0.128) q[0];\nh q[0];\nh q[1];\nrz(0.128) q[1];\nh q[1];\nh q[2];\nrz(0.128) q[2];\nh q[2];\nh q[3];\nrz(0.128) q[3];\nh q[3];\nh q[4];\nrz(0.128) q[4];\nh q[4];\nh q[5];\nrz(0.128) q[5];\nh q[5];\nh q[6];\nrz(0.128) q[6];\nh q[6];\nh q[7];\nrz(0.128) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x10) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x10) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x10) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x20) q[3];\ncx q[2], q[3];\ncx q[0], q[4];\nrz(x20) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x20) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x20) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[1], q[6];\nrz(x20) q[6];\ncx q[1], q[6];\ncx q[3], q[6];\nrz(x20) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[3], q[7];\nrz(x20) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x20) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["61fc58e7ea5c0b858181cef6a00713e4","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 1}, {\"weight\": 18, \"source\": 0, \"target\": 6}, {\"weight\": 6, \"source\": 2, \"target\": 3}, {\"weight\": 13, \"source\": 2, \"target\": 5}, {\"weight\": 19, \"source\": 2, \"target\": 7}, {\"weight\": 16, \"source\": 3, \"target\": 5}, {\"weight\": 12, \"source\": 3, \"target\": 7}, {\"weight\": 1, \"source\": 4, \"target\": 5}, {\"weight\": 3, \"source\": 6, \"target\": 7}]}","{\"states\": [249, 188], \"expectation_value\": -29.76401815418995, \"params\": null, \"bitstrings\": [\"100000110\", \"101000011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.10854950291818022, 0.1832553262641075], \"optimization_time\": 199.78456783294678}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) + -2.5 * Z(0) + 15.5 * Z(3) + 12.0 * Z(2) + 18.5 * Z(4) + 15.0 * Z(6) + 17.0 * Z(5) + 0.5 * Z(7) + 6.0 * Z(8)",1,9,3,"{\"smallest_eigenvalues\": [-86.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -74.0, \"smallest_bitstrings\": [\"101000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1215) q[4];\nry(-23.4164) q[5];\ncry(0.1181) q[5], q[4];\nry(23.9349) q[3];\ncry(-2.7541) q[7], q[4];\nry(56.209) q[2];\nry(63.0362) q[6];\ncry(62.7821) q[5], q[6];\ncry(16.3845) q[5], q[2];\nry(-0.458) q[1];\nry(2.6603) q[8];\ncry(0.8648) q[8], q[2];\ncry(2.6713) q[8], q[6];\ncry(0.0626) q[5], q[1];\ncry(-22.1568) q[5], q[3];\ncry(0.0003) q[3], q[1];\ncry(1.9834) q[6], q[1];\ncry(-0.3384) q[1], q[0];\ncry(0.1463) q[5], q[8];\ncry(0.0237) q[3], q[8];\nry(-0.1986) q[0];\ncry(-0.0145) q[5], q[0];\ncry(-0.0307) q[3], q[0];\ncry(-0.2069) q[6], q[0];\ncry(1.0288) q[4], q[7];\ncry(-0.7662) q[3], q[4];\ncry(-0.1511) q[3], q[7];\ncry(-0.0015) q[5], q[7];\nry(-0.0147) q[7];\ncry(-0.9841) q[1], q[7];\ncry(3.9517) q[1], q[4];\ncry(-0.7824) q[6], q[4];\ncry(1.8277) q[4], q[8];\ncry(2.4279) q[1], q[6];\ncry(-17.7626) q[3], q[6];\ncry(3.5321) q[4], q[6];\ncry(-0.7176) q[4], q[0];\ncry(1.7732) q[4], q[1];\ncry(2.5382) q[8], q[4];\ncry(-21.377) q[4], q[3];\ncry(3.6469) q[6], q[3];\ncry(-2.4959) q[7], q[2];\ncry(-0.9153) q[1], q[3];\ncry(0.614) q[6], q[2];\ncry(-0.9139) q[4], q[2];\ncry(-1.5143) q[2], q[1];\ncry(-0.78) q[1], q[8];\ncry(0.77) q[3], q[2];\ncry(-0.448) q[1], q[2];\ncry(-0.5565) q[7], q[8];\ncry(0.3373) q[6], q[8];\ncry(-0.1188) q[2], q[4];\ncry(-0.3691) q[2], q[0];\ncry(1.6668) q[2], q[3];\ncry(-1.3004) q[8], q[7];\ncry(1.8187) q[7], q[1];\ncry(-0.5596) q[8], q[1];\ncry(-0.4252) q[8], q[0];\ncry(-0.3112) q[2], q[8];\ncry(0.1063) q[6], q[7];\ncry(0.4577) q[2], q[7];\ncry(0.5909) q[8], q[3];\ncry(0.9748) q[0], q[8];\ncry(21.6076) q[1], q[5];\ncry(-2.8146) q[4], q[5];\ncry(0.6146) q[6], q[5];\ncry(0.3746) q[8], q[5];\ncry(-0.3062) q[3], q[5];\ncry(1.8115) q[7], q[5];\ncry(-0.3098) q[2], q[5];\ncry(-2.5605) q[7], q[6];\ncry(0.7559) q[7], q[3];\ncry(-0.4922) q[0], q[6];\ncry(-0.5913) q[0], q[2];\ncry(-0.22) q[0], q[5];\ncry(0.1637) q[0], q[3];\ncry(0.0529) q[7], q[0];\ncry(0.15) q[0], q[4];\ncry(0.0989) q[0], q[7];\ncry(-0.0168) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 8}\"}",{"$cut":{"chars":152580,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nry(56.209) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nry(56.209) q[2];\\nry(63.0362) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nry(56.209) q[2];\\nry(63.0362) q[6];\\ncry(62.7821) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nry(0.1215) q[4];\\nry(-23.4164) q[5];\\ncry(0.1181) q[5], q[4];\\nry(23.9349) q[3];\\ncry(-2.7541) q[7], q[4];\\nry(56.209) q[2];\\nry(63.0362) q[6];\\ncry(62.7821) q[5], q[6];\\ncry(16.3845) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8"}}]
["9e72b7dd0d69a46b7f007aaed5517323","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [22, 19], \"expectation_value\": -2.989065658799344, \"params\": null, \"bitstrings\": [\"101001\", \"101100\"], \"total_optimization_steps\": 29, \"probabilities\": [0.06023624493004092, 0.8645378003122703], \"optimization_time\": 18.37952423095703}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4)",1,6,1,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"011100\", \"011001\", \"101001\", \"101100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nry(1.4449) q[4];\ncry(-1.0342) q[5], q[3];\ncry(-1.0342) q[1], q[0];\nry(0.7003) q[5];\nry(0.7003) q[1];\nry(-0.4549) q[3];\ncry(0.4963) q[4], q[5];\nry(-0.4549) q[0];\ncry(0.4963) q[4], q[1];\ncry(-0.3789) q[4], q[0];\ncry(-0.3789) q[4], q[3];\ncry(0.2432) q[1], q[5];\ncry(0.2417) q[5], q[1];\ncry(-0.1438) q[5], q[0];\ncry(-0.1434) q[1], q[3];\ncry(0.1077) q[1], q[4];\ncry(0.042) q[0], q[5];\ncry(0.0413) q[3], q[1];\ncry(0.0145) q[5], q[4];\ncry(-0.0282) q[0], q[1];\ncry(-0.0274) q[3], q[5];\ncry(0.0215) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":16772,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\ncry(-1.0342) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[1], q[0];\\nry(0.7003) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[1], q[0];\\nry(0.7003) q[5];\\nry(0.7003) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[1], q[0];\\nry(0.7003) q[5];\\nry(0.7003) q[1];\\nry(-0.4549) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[1], q[0];\\nry(0.7003) q[5];\\nry(0.7003) q[1];\\nry(-0.4549) q[3];\\ncry(0.4963) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[1], q[0];\\nry(0.7003) q[5];\\nry(0.7003) q[1];\\nry(-0.4549) q[3];\\ncry(0.4963) q[4], q[5];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[1], q[0];\\nry(0.7003) q[5];\\nry(0.7003) q[1];\\nry(-0.4549) q[3];\\ncry(0.4963) q[4], q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(1.4449) q[4];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[1], q[0];\\nry(0.7003) q[5];\\nry(0.7003) q[1];\\nry(-0.4549) q[3];\\ncry(0.4963) q[4], q[5];\\nry(-0.4549) q[0];\\ncry(0.4963) q[4], q[1];\\ncry(-0.3789) q[4], q[0];\\nc[0] = m"}}]
["8f4da54127eaef3ad4283690d95e9ab5","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}]}","{\"states\": [13, 31], \"expectation_value\": -8.712460396440976, \"params\": null, \"bitstrings\": [\"110010\", \"100000\"], \"total_optimization_steps\": 62, \"probabilities\": [0.09122369462852029, 0.5643797964401448], \"optimization_time\": 61.14413046836853}","-2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0)",5,6,1,"{\"smallest_eigenvalues\": [-14.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.5, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[5], q[1];\ncry(1.5708) q[1], q[2];\ncry(1.5357) q[2], q[3];\ncry(1.1916) q[2], q[5];\nry(-1.4469) q[1];\ncry(0.3195) q[3], q[1];\ncry(0.063) q[2], q[1];\ncry(1.163) q[4], q[1];\ncry(0.7985) q[0], q[1];\ncry(1.4474) q[1], q[4];\nry(-1.4097) q[0];\ncry(-0.2666) q[3], q[4];\ncry(0.1977) q[5], q[4];\nry(-0.1836) q[4];\nry(0.936) q[2];\ncry(-0.0965) q[3], q[2];\ncry(0.0571) q[5], q[2];\ncry(-0.182) q[4], q[2];\ncry(0.0804) q[4], q[5];\ncry(0.0651) q[1], q[3];\ncry(-0.0592) q[4], q[3];\ncry(-0.3605) q[0], q[2];\ncry(-0.2055) q[4], q[0];\ncry(-0.0528) q[2], q[4];\ncry(-0.0341) q[1], q[5];\ncry(-0.2951) q[0], q[4];\nry(0.0232) q[3];\ncry(0.0141) q[3], q[5];\ncry(0.047) q[5], q[0];\ncry(-0.0556) q[1], q[0];\ncry(0.0353) q[3], q[0];\ncry(0.0878) q[0], q[5];\ncry(-0.0177) q[2], q[0];\ncry(0.036) q[0], q[3];\ncry(-0.0023) q[5], q[3];\nry(0.003) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"node\": 1}",{"$cut":{"chars":52906,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.5357) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.5357) q[2], q[3];\\ncry(1.1916) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.5357) q[2], q[3];\\ncry(1.1916) q[2], q[5];\\nry(-1.4469) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.5357) q[2], q[3];\\ncry(1.1916) q[2], q[5];\\nry(-1.4469) q[1];\\ncry(0.3195) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.5357) q[2], q[3];\\ncry(1.1916) q[2], q[5];\\nry(-1.4469) q[1];\\ncry(0.3195) q[3], q[1];\\ncry(0.063) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.5357) q[2], q[3];\\ncry(1.1916) q[2], q[5];\\nry(-1.4469) q[1];\\ncry(0.3195) q[3], q[1];\\ncry(0.063) q[2], q[1];\\ncry(1.163) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.5357) q[2], q[3];\\ncry(1.1916) q[2], q[5];\\nry(-1.4469) q[1];\\ncry(0.3195) q[3], q[1];\\ncry(0.063) q[2], q[1];\\ncry(1.163) q[4], q[1];\\ncry(0.7985) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.5357) q[2], q[3];\\ncry(1.1916) q[2], q[5];\\nry(-1.4469) q[1];\\ncry(0.3195) q[3], q[1];\\ncry(0.063) q[2], q[1];\\ncry(1.163) q[4], q[1];\\ncry(0.7985) q[0], q[1];\\ncry(1.4474) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[5], q[1];\\ncry(1.5708) q[1], q[2];\\ncry(1.5357) q[2], q"}}]
["6eeafc1802cd635d6723c166bcb76122","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 4}]}","{\"states\": [3, 1], \"expectation_value\": -0.17491263269466703, \"params\": [[-0.0438, -0.0397], [0.0534, 0.0475]], \"bitstrings\": [\"1111100\", \"1111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009137186765812644, 0.009330004485842421], \"optimization_time\": 3.84346866607666}","-0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5)",1,7,2,"{\"smallest_eigenvalues\": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -3.25, \"smallest_bitstrings\": [\"1000100\", \"1000110\", \"1111100\", \"1111110\", \"1010100\", \"1010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(0.0438) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(0.0219) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(-0.0657) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(0.0438) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(0.0438) q[1];\ncx q[2], q[1];\ncx q[1], q[3];\nrz(0.0657) q[3];\ncx q[1], q[3];\ncx q[4], q[5];\nrz(0.0438) q[5];\ncx q[4], q[5];\nrz(0.1095) q[4];\nrz(0.0219) q[0];\nrz(-0.0438) q[6];\nrz(0) q[2];\nrz(-0.0657) q[1];\nrz(0.0219) q[3];\nrz(-0.0438) q[5];\nh q[0];\nrz(0.1068) q[0];\nh q[0];\nh q[1];\nrz(0.1068) q[1];\nh q[1];\nh q[2];\nrz(0.1068) q[2];\nh q[2];\nh q[3];\nrz(0.1068) q[3];\nh q[3];\nh q[4];\nrz(0.1068) q[4];\nh q[4];\nh q[5];\nrz(0.1068) q[5];\nh q[5];\nh q[6];\nrz(0.1068) q[6];\nh q[6];\ncx q[4], q[0];\nrz(0.0397) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(0.0198) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(-0.0595) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(0.0397) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(0.0397) q[1];\ncx q[2], q[1];\ncx q[1], q[3];\nrz(0.0595) q[3];\ncx q[1], q[3];\ncx q[4], q[5];\nrz(0.0397) q[5];\ncx q[4], q[5];\nrz(0.0993) q[4];\nrz(0.0198) q[0];\nrz(-0.0397) q[6];\nrz(0) q[2];\nrz(-0.0595) q[1];\nrz(0.0198) q[3];\nrz(-0.0397) q[5];\nh q[0];\nrz(0.095) q[0];\nh q[0];\nh q[1];\nrz(0.095) q[1];\nh q[1];\nh q[2];\nrz(0.095) q[2];\nh q[2];\nh q[3];\nrz(0.095) q[3];\nh q[3];\nh q[4];\nrz(0.095) q[4];\nh q[4];\nh q[5];\nrz(0.095) q[5];\nh q[5];\nh q[6];\nrz(0.095) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\nrz(x4) q[4];\nrz(x1) q[0];\nrz(x5) q[6];\nrz(x6) q[2];\nrz(x2) q[1];\nrz(x1) q[3];\nrz(x5) q[5];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\ncx q[4], q[0];\nrz(x8) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(x9) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x10) q[6];\ncx q[0], q[6];\ncx q[4], q[2];\nrz(x8) q[2];\ncx q[4], q[2];\ncx q[2], q[1];\nrz(x8) q[1];\ncx q[2], q[1];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[4], q[5];\nrz(x8) q[5];\ncx q[4], q[5];\nrz(x12) q[4];\nrz(x9) q[0];\nrz(x13) q[6];\nrz(x6) q[2];\nrz(x10) q[1];\nrz(x9) q[3];\nrz(x13) q[5];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nh q[4];\nrz(x14) q[4];\nh q[4];\nh q[5];\nrz(x14) q[5];\nh q[5];\nh q[6];\nrz(x14) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["4c4c1b0ff5a7edb7e915cb00e660c01a","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 9}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 8}, {\"source\": 3, \"target\": 9}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 9}]}","{\"states\": [11, 267], \"expectation_value\": -6.701186857371385, \"params\": [[[-0.0035, 0.0019], [1.6419000000000001, 0.0045000000000000005], [0.09000000000000001, 0.0037], [-0.0047, 0.005], [-0.0035, 0.007200000000000001], [0.0028, 0.0076], [1.7016, 0.0009000000000000001], [1.4827000000000001, 0.0048000000000000004], [1.7032, 0.0077], [1.7101000000000002, 0.0091]]], \"bitstrings\": [\"1111110100\", \"1011110100\"], \"total_optimization_steps\": 170, \"probabilities\": [0.04593488779549166, 0.052963378842682346], \"optimization_time\": 3.669801712036133}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(7) + -2.5 * Z(4) + -1.5 * Z(2) + -1.5 * Z(3) + -1.5 * Z(9) + 0.0 * Z(8)",1,10,1,"{\"smallest_eigenvalues\": [-8.5, -8.5, -8.5, -8.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -7.5, \"smallest_bitstrings\": [\"1111100001\", \"1011110100\", \"1101101001\", \"1111110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.0035) q[0];\nrz(0.0019) q[0];\nrx(1.6419) q[1];\nrz(0.0045) q[1];\nrx(0.09) q[2];\nrz(0.0037) q[2];\nrx(-0.0047) q[3];\nrz(0.005) q[3];\nrx(-0.0035) q[4];\nrz(0.0072) q[4];\nrx(0.0028) q[5];\nrz(0.0076) q[5];\nrx(1.7016) q[6];\nrz(0.0009) q[6];\nrx(1.4827) q[7];\nrz(0.0048) q[7];\nrx(1.7032) q[8];\nrz(0.0077) q[8];\nrx(1.7101) q[9];\nrz(0.0091) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x0) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["5575b19e97d5a5b0b45755000e82f544","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 6}, {\"capacity\": 4, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 4, \"source\": 2, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 4}, {\"capacity\": 4, \"source\": 3, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 8}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 7}, {\"capacity\": 3, \"source\": 4, \"target\": 8}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 3, \"source\": 6, \"target\": 3}, {\"capacity\": 3, \"source\": 7, \"target\": 1}, {\"capacity\": 3, \"source\": 7, \"target\": 3}, {\"capacity\": 2, \"source\": 7, \"target\": 8}]}","{\"states\": [510, 115], \"expectation_value\": -4.077287622061331, \"params\": [[-0.1839], [0.1799]], \"bitstrings\": [\"000000001\", \"110001100\"], \"total_optimization_steps\": 20, \"probabilities\": [0.010393112800794434, 0.011054851025005447], \"optimization_time\": 3.761556386947632}","-0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(6) + -2.75 * Z(5) + 0.0 * Z(7) + 1.0 * Z(2) + 1.5 * Z(3) + 2.0 * Z(4) + -0.75 * Z(8)",1,9,1,"{\"smallest_eigenvalues\": [-14.0, -14.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -13.0, \"smallest_bitstrings\": [\"110001000\", \"110001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(0.2759) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(0.2759) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(0.1839) q[6];\ncx q[0], q[6];\ncx q[1], q[5];\nrz(0.3678) q[5];\ncx q[1], q[5];\ncx q[1], q[7];\nrz(0.3678) q[7];\ncx q[1], q[7];\ncx q[5], q[2];\nrz(0.2759) q[2];\ncx q[5], q[2];\ncx q[7], q[2];\nrz(0.3678) q[2];\ncx q[7], q[2];\ncx q[6], q[3];\nrz(0.2759) q[3];\ncx q[6], q[3];\ncx q[5], q[3];\nrz(0.3678) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(0.2759) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(0.092) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.2759) q[4];\ncx q[1], q[4];\ncx q[7], q[4];\nrz(0.2759) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(0.1839) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.2759) q[4];\ncx q[3], q[4];\ncx q[0], q[8];\nrz(-0.5517) q[8];\ncx q[0], q[8];\ncx q[7], q[8];\nrz(0.1839) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(0.3678) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(0.2759) q[8];\ncx q[4], q[8];\nrz(0.4597) q[1];\nrz(0.092) q[0];\nrz(-0.1839) q[6];\nrz(1.0114) q[5];\nrz(0) q[7];\nrz(-0.3678) q[2];\nrz(-0.5517) q[3];\nrz(-0.7356) q[4];\nrz(0.2759) q[8];\nh q[0];\nrz(0.3598) q[0];\nh q[0];\nh q[1];\nrz(0.3598) q[1];\nh q[1];\nh q[2];\nrz(0.3598) q[2];\nh q[2];\nh q[3];\nrz(0.3598) q[3];\nh q[3];\nh q[4];\nrz(0.3598) q[4];\nh q[4];\nh q[5];\nrz(0.3598) q[5];\nh q[5];\nh q[6];\nrz(0.3598) q[6];\nh q[6];\nh q[7];\nrz(0.3598) q[7];\nh q[7];\nh q[8];\nrz(0.3598) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[1], q[7];\nrz(x2) q[7];\ncx q[1], q[7];\ncx q[5], q[2];\nrz(x0) q[2];\ncx q[5], q[2];\ncx q[7], q[2];\nrz(x2) q[2];\ncx q[7], q[2];\ncx q[6], q[3];\nrz(x0) q[3];\ncx q[6], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(x0) q[3];\ncx q[7], q[3];\ncx q[2], q[3];\nrz(x3) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[0], q[8];\nrz(x4) q[8];\ncx q[0], q[8];\ncx q[7], q[8];\nrz(x1) q[8];\ncx q[7], q[8];\ncx q[3], q[8];\nrz(x2) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\nrz(x5) q[1];\nrz(x3) q[0];\nrz(x6) q[6];\nrz(x7) q[5];\nrz(x8) q[7];\nrz(x9) q[2];\nrz(x4) q[3];\nrz(x10) q[4];\nrz(x0) q[8];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["8cffed0a6ee313f29bb5a21cb84f4001","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [215, 213], \"expectation_value\": -2.994302118436843, \"params\": [0.0637, 0.062, 1.2979, 1.3031000000000001, 1.3027, 1.2968, -0.002, -0.0032, 1.3041, 1.2984, 0.0592, 0.041100000000000005, 1.0743, 1.0486, 1.3046, 1.2965, 1.2964, 1.2809000000000001, 0.0758, 1.2203000000000002, 1.2899, 0.9212, 0.3159, 0.0907, -0.0017000000000000001, 0.24480000000000002, 0.005200000000000001, -0.002, 0.5683, 0.051500000000000004, 1.2785, -0.33430000000000004, 0.4651, 1.0543, 0.8365, 0.9362], \"bitstrings\": [\"100101000\", \"100101010\"], \"total_optimization_steps\": 130, \"probabilities\": [0.2509934085779938, 0.28569058236252903], \"optimization_time\": 40.02700662612915}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(7) @ Z(6)) + 0.0625 * (Z(8) @ Z(6)) + 0.0625 * (Z(7) @ Z(8)) + -0.0625 * (Z(4) @ Z(1) @ Z(6)) + -0.0625 * (Z(7) @ Z(1) @ Z(4)) + -0.0625 * (Z(4) @ Z(8) @ Z(1)) + -0.0625 * (Z(7) @ Z(1) @ Z(6)) + -0.0625 * (Z(8) @ Z(1) @ Z(6)) + -0.0625 * (Z(7) @ Z(8) @ Z(1)) + -0.0625 * (Z(7) @ Z(4) @ Z(6)) + -0.0625 * (Z(4) @ Z(8) @ Z(6)) + -0.0625 * (Z(7) @ Z(8) @ Z(4)) + -0.0625 * (Z(7) @ Z(8) @ Z(6)) + 0.0625 * (Z(7) @ Z(1) @ Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(8) @ Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(8) @ Z(1) @ Z(4)) + 0.0625 * (Z(7) @ Z(8) @ Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(8) @ Z(4) @ Z(6)) + -0.0625 * (Z(4) @ Z(1) @ Z(6) @ Z(8) @ Z(7)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(5) @ Z(2)) + -0.25 * Z(0) + 0.1875 * Z(1) + 0.0 * Z(2) + -1.0 * Z(3) + -0.0625 * Z(4) + -0.25 * Z(5) + -0.0625 * Z(6) + -0.0625 * Z(7) + 0.1875 * Z(8)",14,9,1,"{\"smallest_eigenvalues\": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], \"number_of_smallest_eigenvalues\": 10, \"first_excited_energy\": -2.5625, \"smallest_bitstrings\": [\"110101000\", \"100110001\", \"001101100\", \"100111000\", \"100101100\", \"001110100\", \"010101100\", \"100101010\", \"100101001\", \"101110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.0637) q[0];\nry(1.2979) q[1];\nry(1.3027) q[2];\nry(-0.002) q[3];\nry(1.3041) q[4];\nry(0.0592) q[5];\nry(1.0743) q[6];\nry(1.3046) q[7];\nry(1.2964) q[8];\ncrx(0.0758) q[8], q[0];\ncrx(0.8365) q[7], q[8];\ncrx(0.4651) q[6], q[7];\ncrx(1.2785) q[5], q[6];\ncrx(0.5683) q[4], q[5];\ncrx(0.0052) q[3], q[4];\ncrx(-0.0017) q[2], q[3];\ncrx(0.3159) q[1], q[2];\ncrx(1.2899) q[0], q[1];\nry(0.062) q[0];\nry(1.3031) q[1];\nry(1.2968) q[2];\nry(-0.0032) q[3];\nry(1.2984) q[4];\nry(0.0411) q[5];\nry(1.0486) q[6];\nry(1.2965) q[7];\nry(1.2809) q[8];\ncrx(1.2203) q[8], q[7];\ncrx(0.9212) q[0], q[8];\ncrx(0.0907) q[0], q[1];\ncrx(0.2448) q[1], q[2];\ncrx(-0.002) q[2], q[3];\ncrx(0.0515) q[3], q[4];\ncrx(-0.3343) q[4], q[5];\ncrx(1.0543) q[5], q[6];\ncrx(0.9362) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x3) q[2], q[3];\ncrx(x31) q[3], q[4];\ncrx(x32) q[4], q[5];\ncrx(x33) q[5], q[6];\ncrx(x34) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["864f213918e4b694952e53439a24874e","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 9}, {\"capacity\": 2, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 9}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 9}, {\"capacity\": 1, \"source\": 6, \"target\": 4}, {\"capacity\": 2, \"source\": 6, \"target\": 9}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 8}, {\"capacity\": 1, \"source\": 8, \"target\": 2}, {\"capacity\": 1, \"source\": 8, \"target\": 3}]}","{\"states\": [280, 281], \"expectation_value\": -7.483149659072627, \"params\": [-0.0015, -0.2154, 0.0018000000000000002, -0.24580000000000002, 0.3748, 0.11470000000000001, 0.37610000000000005, 0.06720000000000001, 0.0031000000000000003, -0.1658, 0.0073, -0.16090000000000002, -0.007200000000000001, -0.2102, -0.0001, -0.254, -0.0014, -0.23550000000000001, 0.0053, -0.2707, 0.37820000000000004, 0.11950000000000001, 0.377, 0.059300000000000005, 0.36970000000000003, 0.11470000000000001, 0.369, 0.0603, 0.0013000000000000002, -0.1771, 0.0033, -0.12810000000000002, -0.0064, -0.203, 0.0013000000000000002, -0.1975, 0.28340000000000004, 0.0626, 0.26780000000000004, 0.0126, 0.0032, -0.2499, -0.0019, -0.25520000000000004, 0.3714, 0.12560000000000002, 0.3784, 0.08270000000000001, 0.0076, -0.1696, -0.0012000000000000001, -0.14350000000000002, 0.0079, -0.2806, 0.0011, -0.2742, 0.006200000000000001, -0.2755, 0.0015, -0.26830000000000004, 0.379, 0.114, 0.3771, 0.07060000000000001, 0.376, 0.1111, 0.371, 0.0721, 0.008400000000000001, -0.13570000000000002, 0.0038, -0.1373, 0.0012000000000000001, -0.2058, -0.0049, -0.1631, 0.25830000000000003, 0.013000000000000001, 0.2564, -0.0057, 0.0012000000000000001, -0.24860000000000002, 0.0037, -0.2358, 0.3793, 0.1479, 0.3763, 0.1277, 0.0018000000000000002, -0.1405, -0.0037, -0.1293, -0.0004, -0.25730000000000003, 0.0038, -0.19060000000000002, -0.0001, -0.2505, 0.005, -0.1792, 0.3771, 0.1301, 0.38120000000000004, 0.0974, 0.3759, 0.1287, 0.379, 0.0952, 0.0033, -0.1509, -0.0132, -0.11610000000000001, 0.0031000000000000003, -0.1711, 0.0085, -0.1638, 0.2469, -0.0154, 0.2555, -0.010700000000000001, -0.004, -0.2301, 0.0025, 0.008400000000000001, 0.3775, 0.154, 0.3773, 0.0086, -0.0063, -0.10350000000000001, -0.005200000000000001, 0.0021000000000000003, 0.0047, -0.1106, -0.010100000000000001, 0.0057, 0.0038, -0.1492, -0.0066, 0.0016, 0.3785, 0.13540000000000002, 0.37610000000000005, 0.0068000000000000005, 0.3723, 0.134, 0.3748, 0.003, -0.007, -0.012100000000000001, 0.0006000000000000001, 0.006200000000000001, -0.012100000000000001, -0.1318, -0.006900000000000001, 0.0009000000000000001, 0.25780000000000003, -0.0373, 0.2812, 0.0067, 0.0577, -0.0594, 0.0562, 0.047900000000000005, 0.0572, -0.06430000000000001, -0.059800000000000006, 0.053500000000000006, 0.0521, 0.0855, 0.057, -0.06430000000000001, 0.0499, 0.0463, 0.0591, -0.0507, -0.051500000000000004, 0.0506, 0.055900000000000005, 0.108, 0.055400000000000005, -0.048600000000000004, 0.060200000000000004, 0.0444, 0.060000000000000005, -0.0287, -0.024300000000000002, 0.0523, 0.054, 0.09620000000000001, 0.06470000000000001, -0.0262, 0.056400000000000006, 0.0463, 0.062200000000000005, 0.0053, 0.0041, 0.058600000000000006, 0.058100000000000006, 0.0752], \"bitstrings\": [\"1011100111\", \"1011100110\"], \"total_optimization_steps\": 40, \"probabilities\": [0.23788209854890596, 0.7390780030619076], \"optimization_time\": 80.67379522323608}","-0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) + 0.75 * Z(1) + -0.25 * Z(9) + 0.0 * Z(7) + -0.25 * Z(4) + 1.0 * Z(5) + 0.75 * Z(6) + 0.0 * Z(8)",5,10,4,"{\"smallest_eigenvalues\": [-8.5, -8.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -7.5, \"smallest_bitstrings\": [\"1011000110\", \"1011100110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(-0.0015) q[0];\nrz(-0.2154) q[0];\nrx(0.3748) q[1];\nrz(0.1147) q[1];\nrx(0.0031) q[2];\nrz(-0.1658) q[2];\nrx(-0.0072) q[3];\nrz(-0.2102) q[3];\nrx(-0.0014) q[4];\nrz(-0.2355) q[4];\nrx(0.3782) q[5];\nrz(0.1195) q[5];\nrx(0.3697) q[6];\nrz(0.1147) q[6];\nrx(0.0013) q[7];\nrz(-0.1771) q[7];\nrx(-0.0064) q[8];\nrz(-0.203) q[8];\nrx(0.2834) q[9];\nrz(0.0626) q[9];\ncrz(0.0521) q[9], q[8];\ncrz(0.0535) q[9], q[7];\ncrz(-0.0598) q[9], q[6];\ncrz(-0.0643) q[9], q[5];\ncrz(0.0572) q[9], q[4];\ncrz(0.0479) q[9], q[3];\ncrz(0.0562) q[9], q[2];\ncrz(-0.0594) q[9], q[1];\ncrz(0.0577) q[9], q[0];\ncrz(0.0855) q[8], q[9];\ncrz(0.0535) q[8], q[7];\ncrz(-0.0598) q[8], q[6];\ncrz(-0.0643) q[8], q[5];\ncrz(0.0572) q[8], q[4];\ncrz(0.0479) q[8], q[3];\ncrz(0.0562) q[8], q[2];\ncrz(-0.0594) q[8], q[1];\ncrz(0.0577) q[8], q[0];\ncrz(0.0855) q[7], q[9];\ncrz(0.0521) q[7], q[8];\ncrz(-0.0598) q[7], q[6];\ncrz(-0.0643) q[7], q[5];\ncrz(0.0572) q[7], q[4];\ncrz(0.0479) q[7], q[3];\ncrz(0.0562) q[7], q[2];\ncrz(-0.0594) q[7], q[1];\ncrz(0.0577) q[7], q[0];\ncrz(0.0855) q[6], q[9];\ncrz(0.0521) q[6], q[8];\ncrz(0.0535) q[6], q[7];\ncrz(-0.0643) q[6], q[5];\ncrz(0.0572) q[6], q[4];\ncrz(0.0479) q[6], q[3];\ncrz(0.0562) q[6], q[2];\ncrz(-0.0594) q[6], q[1];\ncrz(0.0577) q[6], q[0];\ncrz(0.0855) q[5], q[9];\ncrz(0.0521) q[5], q[8];\ncrz(0.0535) q[5], q[7];\ncrz(-0.0598) q[5], q[6];\ncrz(0.0572) q[5], q[4];\ncrz(0.0479) q[5], q[3];\ncrz(0.0562) q[5], q[2];\ncrz(-0.0594) q[5], q[1];\ncrz(0.0577) q[5], q[0];\ncrz(0.0855) q[4], q[9];\ncrz(0.0521) q[4], q[8];\ncrz(0.0535) q[4], q[7];\ncrz(-0.0598) q[4], q[6];\ncrz(-0.0643) q[4], q[5];\ncrz(0.0479) q[4], q[3];\ncrz(0.0562) q[4], q[2];\ncrz(-0.0594) q[4], q[1];\ncrz(0.0577) q[4], q[0];\ncrz(0.0855) q[3], q[9];\ncrz(0.0521) q[3], q[8];\ncrz(0.0535) q[3], q[7];\ncrz(-0.0598) q[3], q[6];\ncrz(-0.0643) q[3], q[5];\ncrz(0.0572) q[3], q[4];\ncrz(0.0562) q[3], q[2];\ncrz(-0.0594) q[3], q[1];\ncrz(0.0577) q[3], q[0];\ncrz(0.0855) q[2], q[9];\ncrz(0.0521) q[2], q[8];\ncrz(0.0535) q[2], q[7];\ncrz(-0.0598) q[2], q[6];\ncrz(-0.0643) q[2], q[5];\ncrz(0.0572) q[2], q[4];\ncrz(0.0479) q[2], q[3];\ncrz(-0.0594) q[2], q[1];\ncrz(0.0577) q[2], q[0];\ncrz(0.0855) q[1], q[9];\ncrz(0.0521) q[1], q[8];\ncrz(0.0535) q[1], q[7];\ncrz(-0.0598) q[1], q[6];\ncrz(-0.0643) q[1], q[5];\ncrz(0.0572) q[1], q[4];\ncrz(0.0479) q[1], q[3];\ncrz(0.0562) q[1], q[2];\ncrz(0.0577) q[1], q[0];\ncrz(0.0855) q[0], q[9];\ncrz(0.0521) q[0], q[8];\ncrz(0.0535) q[0], q[7];\ncrz(-0.0598) q[0], q[6];\ncrz(-0.0643) q[0], q[5];\ncrz(0.0572) q[0], q[4];\ncrz(0.0479) q[0], q[3];\ncrz(0.0562) q[0], q[2];\ncrz(-0.0594) q[0], q[1];\nrx(0.0018) q[0];\nrz(-0.2458) q[0];\nrx(0.3761) q[1];\nrz(0.0672) q[1];\nrx(0.0073) q[2];\nrz(-0.1609) q[2];\nrx(-0.0001) q[3];\nrz(-0.254) q[3];\nrx(0.0053) q[4];\nrz(-0.2707) q[4];\nrx(0.377) q[5];\nrz(0.0593) q[5];\nrx(0.369) q[6];\nrz(0.0603) q[6];\nrx(0.0033) q[7];\nrz(-0.1281) q[7];\nrx(0.0013) q[8];\nrz(-0.1975) q[8];\nrx(0.2678) q[9];\nrz(0.0126) q[9];\nrx(0.0032) q[0];\nrz(-0.2499) q[0];\nrx(0.3714) q[1];\nrz(0.1256) q[1];\nrx(0.0076) q[2];\nrz(-0.1696) q[2];\nrx(0.0079) q[3];\nrz(-0.2806) q[3];\nrx(0.0062) q[4];\nrz(-0.2755) q[4];\nrx(0.379) q[5];\nrz(0.114) q[5];\nrx(0.376) q[6];\nrz(0.1111) q[6];\nrx(0.0084) q[7];\nrz(-0.1357) q[7];\nrx(0.0012) q[8];\nrz(-0.2058) q[8];\nrx(0.2583) q[9];\nrz(0.013) q[9];\ncrz(0.0559) q[9], q[8];\ncrz(0.0506) q[9], q[7];\ncrz(-0.0515) q[9], q[6];\ncrz(-0.0507) q[9], q[5];\ncrz(0.0591) q[9], q[4];\ncrz(0.0463) q[9], q[3];\ncrz(0.0499) q[9], q[2];\ncrz(-0.0643) q[9], q[1];\ncrz(0.057) q[9], q[0];\ncrz(0.108) q[8], q[9];\ncrz(0.0506) q[8], q[7];\ncrz(-0.0515) q[8], q[6];\ncrz(-0.0507) q[8], q[5];\ncrz(0.0591) q[8], q[4];\ncrz(0.0463) q[8], q[3];\ncrz(0.0499) q[8], q[2];\ncrz(-0.0643) q[8], q[1];\ncrz(0.057) q[8], q[0];\ncrz(0.108) q[7], q[9];\ncrz(0.0559) q[7], q[8];\ncrz(-0.0515) q[7], q[6];\ncrz(-0.0507) q[7], q[5];\ncrz(0.0591) q[7], q[4];\ncrz(0.0463) q[7], q[3];\ncrz(0.0499) q[7], q[2];\ncrz(-0.0643) q[7], q[1];\ncrz(0.057) q[7], q[0];\ncrz(0.108) q[6], q[9];\ncrz(0.0559) q[6], q[8];\ncrz(0.0506) q[6], q[7];\ncrz(-0.0507) q[6], q[5];\ncrz(0.0591) q[6], q[4];\ncrz(0.0463) q[6], q[3];\ncrz(0.0499) q[6], q[2];\ncrz(-0.0643) q[6], q[1];\ncrz(0.057) q[6], q[0];\ncrz(0.108) q[5], q[9];\ncrz(0.0559) q[5], q[8];\ncrz(0.0506) q[5], q[7];\ncrz(-0.0515) q[5], q[6];\ncrz(0.0591) q[5], q[4];\ncrz(0.0463) q[5], q[3];\ncrz(0.0499) q[5], q[2];\ncrz(-0.0643) q[5], q[1];\ncrz(0.057) q[5], q[0];\ncrz(0.108) q[4], q[9];\ncrz(0.0559) q[4], q[8];\ncrz(0.0506) q[4], q[7];\ncrz(-0.0515) q[4], q[6];\ncrz(-0.0507) q[4], q[5];\ncrz(0.0463) q[4], q[3];\ncrz(0.0499) q[4], q[2];\ncrz(-0.0643) q[4], q[1];\ncrz(0.057) q[4], q[0];\ncrz(0.108) q[3], q[9];\ncrz(0.0559) q[3], q[8];\ncrz(0.0506) q[3], q[7];\ncrz(-0.0515) q[3], q[6];\ncrz(-0.0507) q[3], q[5];\ncrz(0.0591) q[3], q[4];\ncrz(0.0499) q[3], q[2];\ncrz(-0.0643) q[3], q[1];\ncrz(0.057) q[3], q[0];\ncrz(0.108) q[2], q[9];\ncrz(0.0559) q[2], q[8];\ncrz(0.0506) q[2], q[7];\ncrz(-0.0515) q[2], q[6];\ncrz(-0.0507) q[2], q[5];\ncrz(0.0591) q[2], q[4];\ncrz(0.0463) q[2], q[3];\ncrz(-0.0643) q[2], q[1];\ncrz(0.057) q[2], q[0];\ncrz(0.108) q[1], q[9];\ncrz(0.0559) q[1], q[8];\ncrz(0.0506) q[1], q[7];\ncrz(-0.0515) q[1], q[6];\ncrz(-0.0507) q[1], q[5];\ncrz(0.0591) q[1], q[4];\ncrz(0.0463) q[1], q[3];\ncrz(0.0499) q[1], q[2];\ncrz(0.057) q[1], q[0];\ncrz(0.108) q[0], q[9];\ncrz(0.0559) q[0], q[8];\ncrz(0.0506) q[0], q[7];\ncrz(-0.0515) q[0], q[6];\ncrz(-0.0507) q[0], q[5];\ncrz(0.0591) q[0], q[4];\ncrz(0.0463) q[0], q[3];\ncrz(0.0499) q[0], q[2];\ncrz(-0.0643) q[0], q[1];\nrx(-0.0019) q[0];\nrz(-0.2552) q[0];\nrx(0.3784) q[1];\nrz(0.0827) q[1];\nrx(-0.0012) q[2];\nrz(-0.1435) q[2];\nrx(0.0011) q[3];\nrz(-0.2742) q[3];\nrx(0.0015) q[4];\nrz(-0.2683) q[4];\nrx(0.3771) q[5];\nrz(0.0706) q[5];\nrx(0.371) q[6];\nrz(0.0721) q[6];\nrx(0.0038) q[7];\nrz(-0.1373) q[7];\nrx(-0.0049) q[8];\nrz(-0.1631) q[8];\nrx(0.2564) q[9];\nrz(-0.0057) q[9];\nrx(0.0012) q[0];\nrz(-0.2486) q[0];\nrx(0.3793) q[1];\nrz(0.1479) q[1];\nrx(0.0018) q[2];\nrz(-0.1405) q[2];\nrx(-0.0004) q[3];\nrz(-0.2573) q[3];\nrx(-0.0001) q[4];\nrz(-0.2505) q[4];\nrx(0.3771) q[5];\nrz(0.1301) q[5];\nrx(0.3759) q[6];\nrz(0.1287) q[6];\nrx(0.0033) q[7];\nrz(-0.1509) q[7];\nrx(0.0031) q[8];\nrz(-0.1711) q[8];\nrx(0.2469) q[9];\nrz(-0.0154) q[9];\ncrz(0.054) q[9], q[8];\ncrz(0.0523) q[9], q[7];\ncrz(-0.0243) q[9], q[6];\ncrz(-0.0287) q[9], q[5];\ncrz(0.06) q[9], q[4];\ncrz(0.0444) q[9], q[3];\ncrz(0.0602) q[9], q[2];\ncrz(-0.0486) q[9], q[1];\ncrz(0.0554) q[9], q[0];\ncrz(0.0962) q[8], q[9];\ncrz(0.0523) q[8], q[7];\ncrz(-0.0243) q[8], q[6];\ncrz(-0.0287) q[8], q[5];\ncrz(0.06) q[8], q[4];\ncrz(0.0444) q[8], q[3];\ncrz(0.0602) q[8], q[2];\ncrz(-0.0486) q[8], q[1];\ncrz(0.0554) q[8], q[0];\ncrz(0.0962) q[7], q[9];\ncrz(0.054) q[7], q[8];\ncrz(-0.0243) q[7], q[6];\ncrz(-0.0287) q[7], q[5];\ncrz(0.06) q[7], q[4];\ncrz(0.0444) q[7], q[3];\ncrz(0.0602) q[7], q[2];\ncrz(-0.0486) q[7], q[1];\ncrz(0.0554) q[7], q[0];\ncrz(0.0962) q[6], q[9];\ncrz(0.054) q[6], q[8];\ncrz(0.0523) q[6], q[7];\ncrz(-0.0287) q[6], q[5];\ncrz(0.06) q[6], q[4];\ncrz(0.0444) q[6], q[3];\ncrz(0.0602) q[6], q[2];\ncrz(-0.0486) q[6], q[1];\ncrz(0.0554) q[6], q[0];\ncrz(0.0962) q[5], q[9];\ncrz(0.054) q[5], q[8];\ncrz(0.0523) q[5], q[7];\ncrz(-0.0243) q[5], q[6];\ncrz(0.06) q[5], q[4];\ncrz(0.0444) q[5], q[3];\ncrz(0.0602) q[5], q[2];\ncrz(-0.0486) q[5], q[1];\ncrz(0.0554) q[5], q[0];\ncrz(0.0962) q[4], q[9];\ncrz(0.054) q[4], q[8];\ncrz(0.0523) q[4], q[7];\ncrz(-0.0243) q[4], q[6];\ncrz(-0.0287) q[4], q[5];\ncrz(0.0444) q[4], q[3];\ncrz(0.0602) q[4], q[2];\ncrz(-0.0486) q[4], q[1];\ncrz(0.0554) q[4], q[0];\ncrz(0.0962) q[3], q[9];\ncrz(0.054) q[3], q[8];\ncrz(0.0523) q[3], q[7];\ncrz(-0.0243) q[3], q[6];\ncrz(-0.0287) q[3], q[5];\ncrz(0.06) q[3], q[4];\ncrz(0.0602) q[3], q[2];\ncrz(-0.0486) q[3], q[1];\ncrz(0.0554) q[3], q[0];\ncrz(0.0962) q[2], q[9];\ncrz(0.054) q[2], q[8];\ncrz(0.0523) q[2], q[7];\ncrz(-0.0243) q[2], q[6];\ncrz(-0.0287) q[2], q[5];\ncrz(0.06) q[2], q[4];\ncrz(0.0444) q[2], q[3];\ncrz(-0.0486) q[2], q[1];\ncrz(0.0554) q[2], q[0];\ncrz(0.0962) q[1], q[9];\ncrz(0.054) q[1], q[8];\ncrz(0.0523) q[1], q[7];\ncrz(-0.0243) q[1], q[6];\ncrz(-0.0287) q[1], q[5];\ncrz(0.06) q[1], q[4];\ncrz(0.0444) q[1], q[3];\ncrz(0.0602) q[1], q[2];\ncrz(0.0554) q[1], q[0];\ncrz(0.0962) q[0], q[9];\ncrz(0.054) q[0], q[8];\ncrz(0.0523) q[0], q[7];\ncrz(-0.0243) q[0], q[6];\ncrz(-0.0287) q[0], q[5];\ncrz(0.06) q[0], q[4];\ncrz(0.0444) q[0], q[3];\ncrz(0.0602) q[0], q[2];\ncrz(-0.0486) q[0], q[1];\nrx(0.0037) q[0];\nrz(-0.2358) q[0];\nrx(0.3763) q[1];\nrz(0.1277) q[1];\nrx(-0.0037) q[2];\nrz(-0.1293) q[2];\nrx(0.0038) q[3];\nrz(-0.1906) q[3];\nrx(0.005) q[4];\nrz(-0.1792) q[4];\nrx(0.3812) q[5];\nrz(0.0974) q[5];\nrx(0.379) q[6];\nrz(0.0952) q[6];\nrx(-0.0132) q[7];\nrz(-0.1161) q[7];\nrx(0.0085) q[8];\nrz(-0.1638) q[8];\nrx(0.2555) q[9];\nrz(-0.0107) q[9];\nrx(-0.004) q[0];\nrz(-0.2301) q[0];\nrx(0.3775) q[1];\nrz(0.154) q[1];\nrx(-0.0063) q[2];\nrz(-0.1035) q[2];\nrx(0.0047) q[3];\nrz(-0.1106) q[3];\nrx(0.0038) q[4];\nrz(-0.1492) q[4];\nrx(0.3785) q[5];\nrz(0.1354) q[5];\nrx(0.3723) q[6];\nrz(0.134) q[6];\nrx(-0.007) q[7];\nrz(-0.0121) q[7];\nrx(-0.0121) q[8];\nrz(-0.1318) q[8];\nrx(0.2578) q[9];\nrz(-0.0373) q[9];\ncrz(0.0581) q[9], q[8];\ncrz(0.0586) q[9], q[7];\ncrz(0.0041) q[9], q[6];\ncrz(0.0053) q[9], q[5];\ncrz(0.0622) q[9], q[4];\ncrz(0.0463) q[9], q[3];\ncrz(0.0564) q[9], q[2];\ncrz(-0.0262) q[9], q[1];\ncrz(0.0647) q[9], q[0];\ncrz(0.0752) q[8], q[9];\ncrz(0.0586) q[8], q[7];\ncrz(0.0041) q[8], q[6];\ncrz(0.0053) q[8], q[5];\ncrz(0.0622) q[8], q[4];\ncrz(0.0463) q[8], q[3];\ncrz(0.0564) q[8], q[2];\ncrz(-0.0262) q[8], q[1];\ncrz(0.0647) q[8], q[0];\ncrz(0.0752) q[7], q[9];\ncrz(0.0581) q[7], q[8];\ncrz(0.0041) q[7], q[6];\ncrz(0.0053) q[7], q[5];\ncrz(0.0622) q[7], q[4];\ncrz(0.0463) q[7], q[3];\ncrz(0.0564) q[7], q[2];\ncrz(-0.0262) q[7], q[1];\ncrz(0.0647) q[7], q[0];\ncrz(0.0752) q[6], q[9];\ncrz(0.0581) q[6], q[8];\ncrz(0.0586) q[6], q[7];\ncrz(0.0053) q[6], q[5];\ncrz(0.0622) q[6], q[4];\ncrz(0.0463) q[6], q[3];\ncrz(0.0564) q[6], q[2];\ncrz(-0.0262) q[6], q[1];\ncrz(0.0647) q[6], q[0];\ncrz(0.0752) q[5], q[9];\ncrz(0.0581) q[5], q[8];\ncrz(0.0586) q[5], q[7];\ncrz(0.0041) q[5], q[6];\ncrz(0.0622) q[5], q[4];\ncrz(0.0463) q[5], q[3];\ncrz(0.0564) q[5], q[2];\ncrz(-0.0262) q[5], q[1];\ncrz(0.0647) q[5], q[0];\ncrz(0.0752) q[4], q[9];\ncrz(0.0581) q[4], q[8];\ncrz(0.0586) q[4], q[7];\ncrz(0.0041) q[4], q[6];\ncrz(0.0053) q[4], q[5];\ncrz(0.0463) q[4], q[3];\ncrz(0.0564) q[4], q[2];\ncrz(-0.0262) q[4], q[1];\ncrz(0.0647) q[4], q[0];\ncrz(0.0752) q[3], q[9];\ncrz(0.0581) q[3], q[8];\ncrz(0.0586) q[3], q[7];\ncrz(0.0041) q[3], q[6];\ncrz(0.0053) q[3], q[5];\ncrz(0.0622) q[3], q[4];\ncrz(0.0564) q[3], q[2];\ncrz(-0.0262) q[3], q[1];\ncrz(0.0647) q[3], q[0];\ncrz(0.0752) q[2], q[9];\ncrz(0.0581) q[2], q[8];\ncrz(0.0586) q[2], q[7];\ncrz(0.0041) q[2], q[6];\ncrz(0.0053) q[2], q[5];\ncrz(0.0622) q[2], q[4];\ncrz(0.0463) q[2], q[3];\ncrz(-0.0262) q[2], q[1];\ncrz(0.0647) q[2], q[0];\ncrz(0.0752) q[1], q[9];\ncrz(0.0581) q[1], q[8];\ncrz(0.0586) q[1], q[7];\ncrz(0.0041) q[1], q[6];\ncrz(0.0053) q[1], q[5];\ncrz(0.0622) q[1], q[4];\ncrz(0.0463) q[1], q[3];\ncrz(0.0564) q[1], q[2];\ncrz(0.0647) q[1], q[0];\ncrz(0.0752) q[0], q[9];\ncrz(0.0581) q[0], q[8];\ncrz(0.0586) q[0], q[7];\ncrz(0.0041) q[0], q[6];\ncrz(0.0053) q[0], q[5];\ncrz(0.0622) q[0], q[4];\ncrz(0.0463) q[0], q[3];\ncrz(0.0564) q[0], q[2];\ncrz(-0.0262) q[0], q[1];\nrx(0.0025) q[0];\nrz(0.0084) q[0];\nrx(0.3773) q[1];\nrz(0.0086) q[1];\nrx(-0.0052) q[2];\nrz(0.0021) q[2];\nrx(-0.0101) q[3];\nrz(0.0057) q[3];\nrx(-0.0066) q[4];\nrz(0.0016) q[4];\nrx(0.3761) q[5];\nrz(0.0068) q[5];\nrx(0.3748) q[6];\nrz(0.003) q[6];\nrx(0.0006) q[7];\nrz(0.0062) q[7];\nrx(-0.0069) q[8];\nrz(0.0009) q[8];\nrx(0.2812) q[9];\nrz(0.0067) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x179;\ninput float[64] x18;\ninput float[64] x180;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x3) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrz(x19) q[9], q[8];\ncrz(x20) q[9], q[7];\ncrz(x21) q[9], q[6];\ncrz(x22) q[9], q[5];\ncrz(x23) q[9], q[4];\ncrz(x24) q[9], q[3];\ncrz(x25) q[9], q[2];\ncrz(x26) q[9], q[1];\ncrz(x27) q[9], q[0];\ncrz(x28) q[8], q[9];\ncrz(x20) q[8], q[7];\ncrz(x21) q[8], q[6];\ncrz(x22) q[8], q[5];\ncrz(x23) q[8], q[4];\ncrz(x24) q[8], q[3];\ncrz(x25) q[8], q[2];\ncrz(x26) q[8], q[1];\ncrz(x27) q[8], q[0];\ncrz(x28) q[7], q[9];\ncrz(x19) q[7], q[8];\ncrz(x21) q[7], q[6];\ncrz(x22) q[7], q[5];\ncrz(x23) q[7], q[4];\ncrz(x24) q[7], q[3];\ncrz(x25) q[7], q[2];\ncrz(x26) q[7], q[1];\ncrz(x27) q[7], q[0];\ncrz(x28) q[6], q[9];\ncrz(x19) q[6], q[8];\ncrz(x20) q[6], q[7];\ncrz(x22) q[6], q[5];\ncrz(x23) q[6], q[4];\ncrz(x24) q[6], q[3];\ncrz(x25) q[6], q[2];\ncrz(x26) q[6], q[1];\ncrz(x27) q[6], q[0];\ncrz(x28) q[5], q[9];\ncrz(x19) q[5], q[8];\ncrz(x20) q[5], q[7];\ncrz(x21) q[5], q[6];\ncrz(x23) q[5], q[4];\ncrz(x24) q[5], q[3];\ncrz(x25) q[5], q[2];\ncrz(x26) q[5], q[1];\ncrz(x27) q[5], q[0];\ncrz(x28) q[4], q[9];\ncrz(x19) q[4], q[8];\ncrz(x20) q[4], q[7];\ncrz(x21) q[4], q[6];\ncrz(x22) q[4], q[5];\ncrz(x24) q[4], q[3];\ncrz(x25) q[4], q[2];\ncrz(x26) q[4], q[1];\ncrz(x27) q[4], q[0];\ncrz(x28) q[3], q[9];\ncrz(x19) q[3], q[8];\ncrz(x20) q[3], q[7];\ncrz(x21) q[3], q[6];\ncrz(x22) q[3], q[5];\ncrz(x23) q[3], q[4];\ncrz(x25) q[3], q[2];\ncrz(x26) q[3], q[1];\ncrz(x27) q[3], q[0];\ncrz(x28) q[2], q[9];\ncrz(x19) q[2], q[8];\ncrz(x20) q[2], q[7];\ncrz(x21) q[2], q[6];\ncrz(x22) q[2], q[5];\ncrz(x23) q[2], q[4];\ncrz(x24) q[2], q[3];\ncrz(x26) q[2], q[1];\ncrz(x27) q[2], q[0];\ncrz(x28) q[1], q[9];\ncrz(x19) q[1], q[8];\ncrz(x20) q[1], q[7];\ncrz(x21) q[1], q[6];\ncrz(x22) q[1], q[5];\ncrz(x23) q[1], q[4];\ncrz(x24) q[1], q[3];\ncrz(x25) q[1], q[2];\ncrz(x27) q[1], q[0];\ncrz(x28) q[0], q[9];\ncrz(x19) q[0], q[8];\ncrz(x20) q[0], q[7];\ncrz(x21) q[0], q[6];\ncrz(x22) q[0], q[5];\ncrz(x23) q[0], q[4];\ncrz(x24) q[0], q[3];\ncrz(x25) q[0], q[2];\ncrz(x26) q[0], q[1];\nrx(x29) q[0];\nrz(x30) q[0];\nrx(x31) q[1];\nrz(x32) q[1];\nrx(x33) q[2];\nrz(x34) q[2];\nrx(x35) q[3];\nrz(x36) q[3];\nrx(x37) q[4];\nrz(x38) q[4];\nrx(x39) q[5];\nrz(x40) q[5];\nrx(x41) q[6];\nrz(x42) q[6];\nrx(x43) q[7];\nrz(x44) q[7];\nrx(x13) q[8];\nrz(x45) q[8];\nrx(x46) q[9];\nrz(x47) q[9];\nrx(x48) q[0];\nrz(x49) q[0];\nrx(x50) q[1];\nrz(x51) q[1];\nrx(x52) q[2];\nrz(x53) q[2];\nrx(x54) q[3];\nrz(x55) q[3];\nrx(x56) q[4];\nrz(x57) q[4];\nrx(x58) q[5];\nrz(x59) q[5];\nrx(x60) q[6];\nrz(x61) q[6];\nrx(x62) q[7];\nrz(x63) q[7];\nrx(x64) q[8];\nrz(x65) q[8];\nrx(x66) q[9];\nrz(x67) q[9];\ncrz(x68) q[9], q[8];\ncrz(x69) q[9], q[7];\ncrz(x70) q[9], q[6];\ncrz(x71) q[9], q[5];\ncrz(x72) q[9], q[4];\ncrz(x73) q[9], q[3];\ncrz(x74) q[9], q[2];\ncrz(x22) q[9], q[1];\ncrz(x75) q[9], q[0];\ncrz(x76) q[8], q[9];\ncrz(x69) q[8], q[7];\ncrz(x70) q[8], q[6];\ncrz(x71) q[8], q[5];\ncrz(x72) q[8], q[4];\ncrz(x73) q[8], q[3];\ncrz(x74) q[8], q[2];\ncrz(x22) q[8], q[1];\ncrz(x75) q[8], q[0];\ncrz(x76) q[7], q[9];\ncrz(x68) q[7], q[8];\ncrz(x70) q[7], q[6];\ncrz(x71) q[7], q[5];\ncrz(x72) q[7], q[4];\ncrz(x73) q[7], q[3];\ncrz(x74) q[7], q[2];\ncrz(x22) q[7], q[1];\ncrz(x75) q[7], q[0];\ncrz(x76) q[6], q[9];\ncrz(x68) q[6], q[8];\ncrz(x69) q[6], q[7];\ncrz(x71) q[6], q[5];\ncrz(x72) q[6], q[4];\ncrz(x73) q[6], q[3];\ncrz(x74) q[6], q[2];\ncrz(x22) q[6], q[1];\ncrz(x75) q[6], q[0];\ncrz(x76) q[5], q[9];\ncrz(x68) q[5], q[8];\ncrz(x69) q[5], q[7];\ncrz(x70) q[5], q[6];\ncrz(x72) q[5], q[4];\ncrz(x73) q[5], q[3];\ncrz(x74) q[5], q[2];\ncrz(x22) q[5], q[1];\ncrz(x75) q[5], q[0];\ncrz(x76) q[4], q[9];\ncrz(x68) q[4], q[8];\ncrz(x69) q[4], q[7];\ncrz(x70) q[4], q[6];\ncrz(x71) q[4], q[5];\ncrz(x73) q[4], q[3];\ncrz(x74) q[4], q[2];\ncrz(x22) q[4], q[1];\ncrz(x75) q[4], q[0];\ncrz(x76) q[3], q[9];\ncrz(x68) q[3], q[8];\ncrz(x69) q[3], q[7];\ncrz(x70) q[3], q[6];\ncrz(x71) q[3], q[5];\ncrz(x72) q[3], q[4];\ncrz(x74) q[3], q[2];\ncrz(x22) q[3], q[1];\ncrz(x75) q[3], q[0];\ncrz(x76) q[2], q[9];\ncrz(x68) q[2], q[8];\ncrz(x69) q[2], q[7];\ncrz(x70) q[2], q[6];\ncrz(x71) q[2], q[5];\ncrz(x72) q[2], q[4];\ncrz(x73) q[2], q[3];\ncrz(x22) q[2], q[1];\ncrz(x75) q[2], q[0];\ncrz(x76) q[1], q[9];\ncrz(x68) q[1], q[8];\ncrz(x69) q[1], q[7];\ncrz(x70) q[1], q[6];\ncrz(x71) q[1], q[5];\ncrz(x72) q[1], q[4];\ncrz(x73) q[1], q[3];\ncrz(x74) q[1], q[2];\ncrz(x75) q[1], q[0];\ncrz(x76) q[0], q[9];\ncrz(x68) q[0], q[8];\ncrz(x69) q[0], q[7];\ncrz(x70) q[0], q[6];\ncrz(x71) q[0], q[5];\ncrz(x72) q[0], q[4];\ncrz(x73) q[0], q[3];\ncrz(x74) q[0], q[2];\ncrz(x22) q[0], q[1];\nrx(x77) q[0];\nrz(x78) q[0];\nrx(x79) q[1];\nrz(x80) q[1];\nrx(x81) q[2];\nrz(x82) q[2];\nrx(x83) q[3];\nrz(x84) q[3];\nrx(x85) q[4];\nrz(x86) q[4];\nrx(x87) q[5];\nrz(x88) q[5];\nrx(x89) q[6];\nrz(x90) q[6];\nrx(x91) q[7];\nrz(x92) q[7];\nrx(x93) q[8];\nrz(x94) q[8];\nrx(x95) q[9];\nrz(x96) q[9];\nrx(x64) q[0];\nrz(x97) q[0];\nrx(x98) q[1];\nrz(x99) q[1];\nrx(x29) q[2];\nrz(x100) q[2];\nrx(x101) q[3];\nrz(x102) q[3];\nrx(x35) q[4];\nrz(x103) q[4];\nrx(x87) q[5];\nrz(x104) q[5];\nrx(x105) q[6];\nrz(x106) q[6];\nrx(x43) q[7];\nrz(x107) q[7];\nrx(x4) q[8];\nrz(x108) q[8];\nrx(x109) q[9];\nrz(x110) q[9];\ncrz(x111) q[9], q[8];\ncrz(x112) q[9], q[7];\ncrz(x113) q[9], q[6];\ncrz(x114) q[9], q[5];\ncrz(x115) q[9], q[4];\ncrz(x116) q[9], q[3];\ncrz(x117) q[9], q[2];\ncrz(x118) q[9], q[1];\ncrz(x119) q[9], q[0];\ncrz(x120) q[8], q[9];\ncrz(x112) q[8], q[7];\ncrz(x113) q[8], q[6];\ncrz(x114) q[8], q[5];\ncrz(x115) q[8], q[4];\ncrz(x116) q[8], q[3];\ncrz(x117) q[8], q[2];\ncrz(x118) q[8], q[1];\ncrz(x119) q[8], q[0];\ncrz(x120) q[7], q[9];\ncrz(x111) q[7], q[8];\ncrz(x113) q[7], q[6];\ncrz(x114) q[7], q[5];\ncrz(x115) q[7], q[4];\ncrz(x116) q[7], q[3];\ncrz(x117) q[7], q[2];\ncrz(x118) q[7], q[1];\ncrz(x119) q[7], q[0];\ncrz(x120) q[6], q[9];\ncrz(x111) q[6], q[8];\ncrz(x112) q[6], q[7];\ncrz(x114) q[6], q[5];\ncrz(x115) q[6], q[4];\ncrz(x116) q[6], q[3];\ncrz(x117) q[6], q[2];\ncrz(x118) q[6], q[1];\ncrz(x119) q[6], q[0];\ncrz(x120) q[5], q[9];\ncrz(x111) q[5], q[8];\ncrz(x112) q[5], q[7];\ncrz(x113) q[5], q[6];\ncrz(x115) q[5], q[4];\ncrz(x116) q[5], q[3];\ncrz(x117) q[5], q[2];\ncrz(x118) q[5], q[1];\ncrz(x119) q[5], q[0];\ncrz(x120) q[4], q[9];\ncrz(x111) q[4], q[8];\ncrz(x112) q[4], q[7];\ncrz(x113) q[4], q[6];\ncrz(x114) q[4], q[5];\ncrz(x116) q[4], q[3];\ncrz(x117) q[4], q[2];\ncrz(x118) q[4], q[1];\ncrz(x119) q[4], q[0];\ncrz(x120) q[3], q[9];\ncrz(x111) q[3], q[8];\ncrz(x112) q[3], q[7];\ncrz(x113) q[3], q[6];\ncrz(x114) q[3], q[5];\ncrz(x115) q[3], q[4];\ncrz(x117) q[3], q[2];\ncrz(x118) q[3], q[1];\ncrz(x119) q[3], q[0];\ncrz(x120) q[2], q[9];\ncrz(x111) q[2], q[8];\ncrz(x112) q[2], q[7];\ncrz(x113) q[2], q[6];\ncrz(x114) q[2], q[5];\ncrz(x115) q[2], q[4];\ncrz(x116) q[2], q[3];\ncrz(x118) q[2], q[1];\ncrz(x119) q[2], q[0];\ncrz(x120) q[1], q[9];\ncrz(x111) q[1], q[8];\ncrz(x112) q[1], q[7];\ncrz(x113) q[1], q[6];\ncrz(x114) q[1], q[5];\ncrz(x115) q[1], q[4];\ncrz(x116) q[1], q[3];\ncrz(x117) q[1], q[2];\ncrz(x119) q[1], q[0];\ncrz(x120) q[0], q[9];\ncrz(x111) q[0], q[8];\ncrz(x112) q[0], q[7];\ncrz(x113) q[0], q[6];\ncrz(x114) q[0], q[5];\ncrz(x115) q[0], q[4];\ncrz(x116) q[0], q[3];\ncrz(x117) q[0], q[2];\ncrz(x118) q[0], q[1];\nrx(x121) q[0];\nrz(x122) q[0];\nrx(x123) q[1];\nrz(x124) q[1];\nrx(x125) q[2];\nrz(x126) q[2];\nrx(x91) q[3];\nrz(x127) q[3];\nrx(x128) q[4];\nrz(x129) q[4];\nrx(x130) q[5];\nrz(x131) q[5];\nrx(x58) q[6];\nrz(x132) q[6];\nrx(x133) q[7];\nrz(x134) q[7];\nrx(x135) q[8];\nrz(x136) q[8];\nrx(x137) q[9];\nrz(x138) q[9];\nrx(x139) q[0];\nrz(x140) q[0];\nrx(x141) q[1];\nrz(x142) q[1];\nrx(x143) q[2];\nrz(x144) q[2];\nrx(x145) q[3];\nrz(x146) q[3];\nrx(x91) q[4];\nrz(x147) q[4];\nrx(x148) q[5];\nrz(x149) q[5];\nrx(x150) q[6];\nrz(x151) q[6];\nrx(x152) q[7];\nrz(x153) q[7];\nrx(x153) q[8];\nrz(x154) q[8];\nrx(x155) q[9];\nrz(x156) q[9];\ncrz(x157) q[9], q[8];\ncrz(x158) q[9], q[7];\ncrz(x159) q[9], q[6];\ncrz(x37) q[9], q[5];\ncrz(x160) q[9], q[4];\ncrz(x73) q[9], q[3];\ncrz(x161) q[9], q[2];\ncrz(x162) q[9], q[1];\ncrz(x163) q[9], q[0];\ncrz(x164) q[8], q[9];\ncrz(x158) q[8], q[7];\ncrz(x159) q[8], q[6];\ncrz(x37) q[8], q[5];\ncrz(x160) q[8], q[4];\ncrz(x73) q[8], q[3];\ncrz(x161) q[8], q[2];\ncrz(x162) q[8], q[1];\ncrz(x163) q[8], q[0];\ncrz(x164) q[7], q[9];\ncrz(x157) q[7], q[8];\ncrz(x159) q[7], q[6];\ncrz(x37) q[7], q[5];\ncrz(x160) q[7], q[4];\ncrz(x73) q[7], q[3];\ncrz(x161) q[7], q[2];\ncrz(x162) q[7], q[1];\ncrz(x163) q[7], q[0];\ncrz(x164) q[6], q[9];\ncrz(x157) q[6], q[8];\ncrz(x158) q[6], q[7];\ncrz(x37) q[6], q[5];\ncrz(x160) q[6], q[4];\ncrz(x73) q[6], q[3];\ncrz(x161) q[6], q[2];\ncrz(x162) q[6], q[1];\ncrz(x163) q[6], q[0];\ncrz(x164) q[5], q[9];\ncrz(x157) q[5], q[8];\ncrz(x158) q[5], q[7];\ncrz(x159) q[5], q[6];\ncrz(x160) q[5], q[4];\ncrz(x73) q[5], q[3];\ncrz(x161) q[5], q[2];\ncrz(x162) q[5], q[1];\ncrz(x163) q[5], q[0];\ncrz(x164) q[4], q[9];\ncrz(x157) q[4], q[8];\ncrz(x158) q[4], q[7];\ncrz(x159) q[4], q[6];\ncrz(x37) q[4], q[5];\ncrz(x73) q[4], q[3];\ncrz(x161) q[4], q[2];\ncrz(x162) q[4], q[1];\ncrz(x163) q[4], q[0];\ncrz(x164) q[3], q[9];\ncrz(x157) q[3], q[8];\ncrz(x158) q[3], q[7];\ncrz(x159) q[3], q[6];\ncrz(x37) q[3], q[5];\ncrz(x160) q[3], q[4];\ncrz(x161) q[3], q[2];\ncrz(x162) q[3], q[1];\ncrz(x163) q[3], q[0];\ncrz(x164) q[2], q[9];\ncrz(x157) q[2], q[8];\ncrz(x158) q[2], q[7];\ncrz(x159) q[2], q[6];\ncrz(x37) q[2], q[5];\ncrz(x160) q[2], q[4];\ncrz(x73) q[2], q[3];\ncrz(x162) q[2], q[1];\ncrz(x163) q[2], q[0];\ncrz(x164) q[1], q[9];\ncrz(x157) q[1], q[8];\ncrz(x158) q[1], q[7];\ncrz(x159) q[1], q[6];\ncrz(x37) q[1], q[5];\ncrz(x160) q[1], q[4];\ncrz(x73) q[1], q[3];\ncrz(x161) q[1], q[2];\ncrz(x163) q[1], q[0];\ncrz(x164) q[0], q[9];\ncrz(x157) q[0], q[8];\ncrz(x158) q[0], q[7];\ncrz(x159) q[0], q[6];\ncrz(x37) q[0], q[5];\ncrz(x160) q[0], q[4];\ncrz(x73) q[0], q[3];\ncrz(x161) q[0], q[2];\ncrz(x162) q[0], q[1];\nrx(x165) q[0];\nrz(x62) q[0];\nrx(x166) q[1];\nrz(x167) q[1];\nrx(x168) q[2];\nrz(x169) q[2];\nrx(x170) q[3];\nrz(x171) q[3];\nrx(x172) q[4];\nrz(x173) q[4];\nrx(x31) q[5];\nrz(x174) q[5];\nrx(x2) q[6];\nrz(x175) q[6];\nrx(x176) q[7];\nrz(x56) q[7];\nrx(x177) q[8];\nrz(x178) q[8];\nrx(x179) q[9];\nrz(x180) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["1c92797ebdc5766ffafd498d21cf8a8a","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [362, 363], \"expectation_value\": -2.1218301065528307, \"params\": [2.3637, 0.0028, 0.09240000000000001, 0.008400000000000001, 2.6431, 0.008400000000000001, 3.0915000000000004, 0.004, -0.0021000000000000003, 0.0016, 3.0934, 0.0015, 0.8865000000000001, 0.007, 3.093, 0.0043, 1.6018000000000001, 0.004, 0.009000000000000001, 0.0064, 0.0089, 0.0068000000000000005, 0.0045000000000000005, 0.0098, 0.0012000000000000001, 0.0077, 0.0041], \"bitstrings\": [\"010010101\", \"010010100\"], \"total_optimization_steps\": 310, \"probabilities\": [0.3166814151612258, 0.33695406957080126], \"optimization_time\": 9.244374752044678}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(6)) + -0.125 * (Z(0) @ Z(6) @ Z(5)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + 0.125 * (Z(0) @ Z(3) @ Z(6) @ Z(5)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(1) @ Z(7) @ Z(8)) + 0.25 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(7) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(8) @ Z(2)) + 0.125 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + -0.125 * Z(3) + -0.25 * Z(4) + 0.125 * Z(5) + 0.125 * Z(6) + 0.0 * Z(7) + 0.0 * Z(8)",18,9,1,"{\"smallest_eigenvalues\": [-3.125, -3.125, -3.125], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.125, \"smallest_bitstrings\": [\"010010100\", \"100010001\", \"001100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(2.3637) q[0];\nrz(0.0028) q[0];\nrx(0.0924) q[1];\nrz(0.0084) q[1];\nrx(2.6431) q[2];\nrz(0.0084) q[2];\nrx(3.0915) q[3];\nrz(0.004) q[3];\nrx(-0.0021) q[4];\nrz(0.0016) q[4];\nrx(3.0934) q[5];\nrz(0.0015) q[5];\nrx(0.8865) q[6];\nrz(0.007) q[6];\nrx(3.093) q[7];\nrz(0.0043) q[7];\nrx(1.6018) q[8];\nrz(0.004) q[8];\ncrz(0.009) q[8], q[0];\ncrz(0.0041) q[7], q[8];\ncrz(0.0077) q[6], q[7];\ncrz(0.0012) q[5], q[6];\ncrz(0.0098) q[4], q[5];\ncrz(0.0045) q[3], q[4];\ncrz(0.0068) q[2], q[3];\ncrz(0.0089) q[1], q[2];\ncrz(0.0064) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x3) q[2];\nrx(x5) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x6) q[8];\ncrz(x16) q[8], q[0];\ncrz(x17) q[7], q[8];\ncrz(x18) q[6], q[7];\ncrz(x19) q[5], q[6];\ncrz(x20) q[4], q[5];\ncrz(x21) q[3], q[4];\ncrz(x22) q[2], q[3];\ncrz(x23) q[1], q[2];\ncrz(x24) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["4789677601492509849","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3], \"hyperedges\": [[0, 1], [0, 2], [1, 2], [0, 3]]}","{\"states\": [5, 10], \"expectation_value\": -0.047845920123428476, \"params\": [[0.0784], [-0.0782]], \"bitstrings\": [\"1010\", \"0101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.06553799320867651, 0.06553799320867651], \"optimization_time\": 0.8573343753814697}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3)",1,4,1,"{\"smallest_eigenvalues\": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": 0.0, \"smallest_bitstrings\": [\"1100\", \"1010\", \"1000\", \"0111\", \"0101\", \"0011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[1], q[0];\nrz(0.0784) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0784) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0784) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0784) q[3];\ncx q[0], q[3];\nrz(0) q[1];\nrz(0) q[0];\nrz(0) q[2];\nrz(0) q[3];\nh q[0];\nrz(-0.1564) q[0];\nh q[0];\nh q[1];\nrz(-0.1564) q[1];\nh q[1];\nh q[2];\nrz(-0.1564) q[2];\nh q[2];\nh q[3];\nrz(-0.1564) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x1) q[3];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];",null,"{\"circuits\": [], \"gradients\": []}"]
["171e704e65359d5a57d8a8e54db87dfb","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 1}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 3, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 2, \"source\": 6, \"target\": 7}]}","{\"states\": [55, 53], \"expectation_value\": -11.499999939041139, \"params\": null, \"bitstrings\": [\"11001000\", \"11001010\"], \"total_optimization_steps\": 45, \"probabilities\": [4.0034557302040344e-08, 0.9999999557875574], \"optimization_time\": 40.026790618896484}","-0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(5)) + -1.5 * Z(1) + -0.25 * Z(0) + -1.75 * Z(4) + -0.5 * Z(6) + 2.25 * Z(2) + 0.75 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-11.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -10.5, \"smallest_bitstrings\": [\"11001010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\ncry(1.5708) q[2], q[3];\ncry(1.5706) q[2], q[5];\ncry(1.5706) q[5], q[7];\nry(-1.5708) q[0];\nry(-1.5681) q[1];\ncry(-1.5681) q[2], q[4];\nry(-1.4449) q[6];\ncry(-0.1188) q[5], q[6];\ncry(-0.0027) q[7], q[4];\ncry(0.0002) q[3], q[7];\ncry(-0.0027) q[7], q[1];\ncry(-0.0067) q[7], q[6];\ncry(0.0001) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 7}",{"$cut":{"chars":25413,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\ncry(1.5708) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\ncry(1.5708) q[2], q[3];\\ncry(1.5706) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\ncry(1.5708) q[2], q[3];\\ncry(1.5706) q[2], q[5];\\ncry(1.5706) q[5], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\ncry(1.5708) q[2], q[3];\\ncry(1.5706) q[2], q[5];\\ncry(1.5706) q[5], q[7];\\nry(-1.5708) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\ncry(1.5708) q[2], q[3];\\ncry(1.5706) q[2], q[5];\\ncry(1.5706) q[5], q[7];\\nry(-1.5708) q[0];\\nry(-1.5681) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\ncry(1.5708) q[2], q[3];\\ncry(1.5706) q[2], q[5];\\ncry(1.5706) q[5], q[7];\\nry(-1.5708) q[0];\\nry(-1.5681) q[1];\\ncry(-1.5681) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\ncry(1.5708) q[2], q[3];\\ncry(1.5706) q[2], q[5];\\ncry(1.5706) q[5], q[7];\\nry(-1.5708) q[0];\\nry(-1.5681) q[1];\\ncry(-1.5681) q[2], q[4];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\ncry(1.5708) q[2], q[3];\\ncry(1.5706) q[2], q[5];\\ncry(1.5706) q[5], q[7];\\nry(-1.5708) q[0];\\nry(-1.5681) q[1];\\ncry(-1.5681) q[2], q[4];\\nry(-1.4449) q[6];\\ncry(-0.1188) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(1.5708) q[2];\\ncry(1.5708) q[2], q[3];\\ncry(1.5706) q[2], q[5];\\ncry(1.5706) q"}}]
["-987449460056450035","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"hyperedges\": [[1, 4, 5, 7, 8], [0, 9], [0, 1, 2, 3, 4, 6, 7, 8], [0, 1, 4, 5, 6, 7, 10], [2, 3, 5, 7, 9], [9, 10], [0, 1, 10, 3], [0, 2, 3, 6, 7, 8, 10], [1, 3, 4, 7, 8, 10], [1, 5, 6, 7, 9], [8, 9, 5], [1, 2, 3, 4, 5, 7], [2, 4, 5, 6, 10], [3, 5, 7, 8, 10], [0, 1, 5, 6, 8], [9, 2, 1]]}","{\"states\": [1829, 1837], \"expectation_value\": -3.556245237383507, \"params\": [[[2.8444000000000003, 0.0074], [3.1392, 0.0089], [3.1390000000000002, 0.00030000000000000003], [1.1620000000000001, 0.0063], [0.6425000000000001, 0.0007], [3.1392, 0.0], [1.1397000000000002, 0.00030000000000000003], [1.6256000000000002, 0.0036000000000000003], [3.1394, 0.0037], [0.11960000000000001, 0.0037], [3.1376, 0.0097]]], \"bitstrings\": [\"00011011010\", \"00011010010\"], \"total_optimization_steps\": 360, \"probabilities\": [0.20543071322676315, 0.2292192262888528], \"optimization_time\": 8.73104453086853}","0.15833333333333333 * (Z(1) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(4)) + 0.20714285714285713 * (Z(5) @ Z(1)) + 0.15833333333333333 * (Z(7) @ Z(4)) + 0.20833333333333331 * (Z(7) @ Z(1)) + 0.2571428571428571 * (Z(7) @ Z(5)) + 0.10119047619047619 * (Z(8) @ Z(4)) + 0.1511904761904762 * (Z(8) @ Z(1)) + 0.31666666666666665 * (Z(8) @ Z(5)) + 0.175 * (Z(8) @ Z(7)) + 0.041666666666666664 * (Z(0) @ Z(4)) + 0.175 * (Z(0) @ Z(1)) + 0.07380952380952381 * (Z(0) @ Z(5)) + 0.06547619047619047 * (Z(0) @ Z(7)) + 0.09166666666666667 * (Z(0) @ Z(8)) + 0.21666666666666667 * (Z(9) @ Z(1)) + 0.26666666666666666 * (Z(9) @ Z(5)) + 0.1 * (Z(9) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 0.10119047619047619 * (Z(2) @ Z(4)) + 0.21785714285714286 * (Z(2) @ Z(1)) + 0.13333333333333336 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(7)) + 0.041666666666666664 * (Z(2) @ Z(8)) + 0.041666666666666664 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(2) @ Z(9)) + 0.08452380952380953 * (Z(3) @ Z(4)) + 0.16785714285714284 * (Z(3) @ Z(1)) + 0.13333333333333336 * (Z(3) @ Z(5)) + 0.20833333333333331 * (Z(3) @ Z(7)) + 0.125 * (Z(3) @ Z(8)) + 0.125 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(9)) + 0.125 * (Z(3) @ Z(2)) + 0.09166666666666667 * (Z(6) @ Z(4)) + 0.14166666666666666 * (Z(6) @ Z(1)) + 0.1738095238095238 * (Z(6) @ Z(5)) + 0.11547619047619047 * (Z(6) @ Z(7)) + 0.09166666666666667 * (Z(6) @ Z(8)) + 0.11547619047619047 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(9)) + 0.09166666666666667 * (Z(6) @ Z(2)) + 0.041666666666666664 * (Z(6) @ Z(3)) + 0.10714285714285715 * (Z(10) @ Z(4)) + 0.14047619047619048 * (Z(10) @ Z(1)) + 0.12380952380952381 * (Z(10) @ Z(5)) + 0.13095238095238093 * (Z(10) @ Z(7)) + 0.10714285714285715 * (Z(10) @ Z(8)) + 0.13095238095238093 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(9)) + 0.07380952380952381 * (Z(10) @ Z(2)) + 0.19047619047619047 * (Z(10) @ Z(3)) + 0.09761904761904762 * (Z(10) @ Z(6)) + 0.5005952380952381 * Z(4) + 0.8922619047619049 * Z(1) + 0.9214285714285714 * Z(5) + 0.7720238095238096 * Z(7) + 0.6839285714285716 * Z(8) + 0.430357142857143 * Z(0) + 0.5333333333333332 * Z(9) + 0.5839285714285716 * Z(2) + 0.6255952380952382 * Z(3) + 0.5053571428571431 * Z(6) + 0.5511904761904762 * Z(10)",1,11,1,"{\"smallest_eigenvalues\": [-4.058333333333334], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.7809523809523817, \"smallest_bitstrings\": [\"00011010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(2.8444) q[0];\nrz(0.0074) q[0];\nrx(3.1392) q[1];\nrz(0.0089) q[1];\nrx(3.139) q[2];\nrz(0.0003) q[2];\nrx(1.162) q[3];\nrz(0.0063) q[3];\nrx(0.6425) q[4];\nrz(0.0007) q[4];\nrx(3.1392) q[5];\nrz(0) q[5];\nrx(1.1397) q[6];\nrz(0.0003) q[6];\nrx(1.6256) q[7];\nrz(0.0036) q[7];\nrx(3.1394) q[8];\nrz(0.0037) q[8];\nrx(0.1196) q[9];\nrz(0.0037) q[9];\nrx(3.1376) q[10];\nrz(0.0097) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x2) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x5) q[6];\nrx(x12) q[7];\nrz(x13) q[7];\nrx(x14) q[8];\nrz(x15) q[8];\nrx(x16) q[9];\nrz(x15) q[9];\nrx(x17) q[10];\nrz(x18) q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"circuits\": [], \"gradients\": []}"]
["1f5d7944e50ebc48c654989c65672b6f","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 3, \"source\": 6, \"target\": 4}]}","{\"states\": [33, 1], \"expectation_value\": -1.6090430136663922, \"params\": [[-0.07100000000000001, -0.0826, -0.07740000000000001], [0.0666, 0.077, 0.0747]], \"bitstrings\": [\"11011110\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.011832222528985128, 0.014891466308122384], \"optimization_time\": 8.573348760604858}","-0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.25 * Z(4) + 0.25 * Z(5) + 0.5 * Z(2) + -0.75 * Z(6)",1,8,3,"{\"smallest_eigenvalues\": [-8.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.25, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.071) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.1065) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0355) q[3];\ncx q[0], q[3];\ncx q[0], q[7];\nrz(-0.142) q[7];\ncx q[0], q[7];\ncx q[1], q[4];\nrz(0.071) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(0.071) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.0355) q[5];\ncx q[3], q[5];\ncx q[5], q[2];\nrz(0.0355) q[2];\ncx q[5], q[2];\ncx q[4], q[6];\nrz(0.1065) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.1065) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(0.1065) q[6];\ncx q[2], q[6];\nrz(-0.1775) q[1];\nrz(0.0355) q[0];\nrz(0.1065) q[3];\nrz(-0.142) q[7];\nrz(0.1775) q[4];\nrz(-0.0355) q[5];\nrz(-0.071) q[2];\nrz(0.1065) q[6];\nh q[0];\nrz(0.1332) q[0];\nh q[0];\nh q[1];\nrz(0.1332) q[1];\nh q[1];\nh q[2];\nrz(0.1332) q[2];\nh q[2];\nh q[3];\nrz(0.1332) q[3];\nh q[3];\nh q[4];\nrz(0.1332) q[4];\nh q[4];\nh q[5];\nrz(0.1332) q[5];\nh q[5];\nh q[6];\nrz(0.1332) q[6];\nh q[6];\nh q[7];\nrz(0.1332) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0826) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.1239) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0413) q[3];\ncx q[0], q[3];\ncx q[0], q[7];\nrz(-0.1652) q[7];\ncx q[0], q[7];\ncx q[1], q[4];\nrz(0.0826) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(0.0826) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.0413) q[5];\ncx q[3], q[5];\ncx q[5], q[2];\nrz(0.0413) q[2];\ncx q[5], q[2];\ncx q[4], q[6];\nrz(0.1239) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.1239) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(0.1239) q[6];\ncx q[2], q[6];\nrz(-0.2065) q[1];\nrz(0.0413) q[0];\nrz(0.1239) q[3];\nrz(-0.1652) q[7];\nrz(0.2065) q[4];\nrz(-0.0413) q[5];\nrz(-0.0826) q[2];\nrz(0.1239) q[6];\nh q[0];\nrz(0.154) q[0];\nh q[0];\nh q[1];\nrz(0.154) q[1];\nh q[1];\nh q[2];\nrz(0.154) q[2];\nh q[2];\nh q[3];\nrz(0.154) q[3];\nh q[3];\nh q[4];\nrz(0.154) q[4];\nh q[4];\nh q[5];\nrz(0.154) q[5];\nh q[5];\nh q[6];\nrz(0.154) q[6];\nh q[6];\nh q[7];\nrz(0.154) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0774) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(0.1161) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0387) q[3];\ncx q[0], q[3];\ncx q[0], q[7];\nrz(-0.1548) q[7];\ncx q[0], q[7];\ncx q[1], q[4];\nrz(0.0774) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(0.0774) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.0387) q[5];\ncx q[3], q[5];\ncx q[5], q[2];\nrz(0.0387) q[2];\ncx q[5], q[2];\ncx q[4], q[6];\nrz(0.1161) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.1161) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(0.1161) q[6];\ncx q[2], q[6];\nrz(-0.1935) q[1];\nrz(0.0387) q[0];\nrz(0.1161) q[3];\nrz(-0.1548) q[7];\nrz(0.1935) q[4];\nrz(-0.0387) q[5];\nrz(-0.0774) q[2];\nrz(0.1161) q[6];\nh q[0];\nrz(0.1494) q[0];\nh q[0];\nh q[1];\nrz(0.1494) q[1];\nh q[1];\nh q[2];\nrz(0.1494) q[2];\nh q[2];\nh q[3];\nrz(0.1494) q[3];\nh q[3];\nh q[4];\nrz(0.1494) q[4];\nh q[4];\nh q[5];\nrz(0.1494) q[5];\nh q[5];\nh q[6];\nrz(0.1494) q[6];\nh q[6];\nh q[7];\nrz(0.1494) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[0], q[7];\nrz(x3) q[7];\ncx q[0], q[7];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[5], q[2];\nrz(x2) q[2];\ncx q[5], q[2];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\nrz(x4) q[1];\nrz(x2) q[0];\nrz(x1) q[3];\nrz(x3) q[7];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[2];\nrz(x1) q[6];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[0], q[7];\nrz(x12) q[7];\ncx q[0], q[7];\ncx q[1], q[4];\nrz(x9) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[5], q[2];\nrz(x11) q[2];\ncx q[5], q[2];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x10) q[6];\ncx q[2], q[6];\nrz(x13) q[1];\nrz(x11) q[0];\nrz(x10) q[3];\nrz(x12) q[7];\nrz(x14) q[4];\nrz(x15) q[5];\nrz(x16) q[2];\nrz(x10) q[6];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x18) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x19) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[0], q[7];\nrz(x21) q[7];\ncx q[0], q[7];\ncx q[1], q[4];\nrz(x18) q[4];\ncx q[1], q[4];\ncx q[1], q[5];\nrz(x18) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x20) q[5];\ncx q[3], q[5];\ncx q[5], q[2];\nrz(x20) q[2];\ncx q[5], q[2];\ncx q[4], q[6];\nrz(x19) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x19) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x19) q[6];\ncx q[2], q[6];\nrz(x22) q[1];\nrz(x20) q[0];\nrz(x19) q[3];\nrz(x21) q[7];\nrz(x23) q[4];\nrz(x24) q[5];\nrz(x25) q[2];\nrz(x19) q[6];\nh q[0];\nrz(x26) q[0];\nh q[0];\nh q[1];\nrz(x26) q[1];\nh q[1];\nh q[2];\nrz(x26) q[2];\nh q[2];\nh q[3];\nrz(x26) q[3];\nh q[3];\nh q[4];\nrz(x26) q[4];\nh q[4];\nh q[5];\nrz(x26) q[5];\nh q[5];\nh q[6];\nrz(x26) q[6];\nh q[6];\nh q[7];\nrz(x26) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["eaf152c9366c1fc70b9994ec462b6b4c","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}]}","{\"states\": [35, 7], \"expectation_value\": -3.9964640440510215, \"params\": null, \"bitstrings\": [\"011100\", \"111000\"], \"total_optimization_steps\": 23, \"probabilities\": [0.06634810230103094, 0.9303665171778082], \"optimization_time\": 16.14678430557251}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5)",1,6,3,"{\"smallest_eigenvalues\": [-4.0, -4.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"111000\", \"011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nry(-1.5681) q[1];\nry(1.4449) q[4];\nry(1.4449) q[5];\ncry(-1.0342) q[3], q[0];\nry(0.7003) q[3];\nry(-0.4549) q[0];\ncry(0.4963) q[5], q[3];\ncry(-0.3789) q[5], q[0];\ncry(0.2489) q[4], q[3];\ncry(-0.1488) q[4], q[0];\ncry(0.118) q[5], q[4];\ncry(0.1156) q[4], q[5];\ncry(-0.0027) q[5], q[1];\ncry(-0.0227) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\ncry(-0.0227) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\ncry(-0.0227) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\ncry(-0.0227) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\ncry(-0.0227) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\ncry(-0.0227) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[2];\\nry(-1.5681) q[1];\\nry(1.4449) q[4];\\nry(1.4449) q[5];\\ncry(-1.0342) q[3], q[0];\\nry(0.7003) q[3];\\nry(-0.4549) q[0];\\ncry(0.4963) q[5], q[3];\\ncry(-0.3789) q[5], q[0];\\ncry(0.2489) q[4], q[3];\\ncry(-0.1488) q[4], q[0];\\ncry(0.118) q[5], q[4];\\ncry(0.1156) q[4], q[5];\\ncry(-0.0027) q[5], q[1];\\ncry(-0.0227) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [1.5087, 1.0047, 0.5002, 0.5, 0.2509, 0.2452, 0.1886, 0.2237, 0.1882, 0.1273, 0.0785, 0.0612, 0.0601, 0.0139, 0.0097, 0.0073, 0.006, 0.0049, 0.0049, 0.0049, 0.0045, 0.0045, 0.003]}"]
["459811ecea835181cb936b26391c2fbd","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 6}, {\"weight\": 2, \"source\": 1, \"target\": 7}, {\"weight\": 13, \"source\": 1, \"target\": 10}, {\"weight\": 18, \"source\": 1, \"target\": 8}, {\"weight\": 3, \"source\": 2, \"target\": 8}, {\"weight\": 5, \"source\": 3, \"target\": 9}, {\"weight\": 11, \"source\": 3, \"target\": 11}, {\"weight\": 8, \"source\": 4, \"target\": 10}, {\"weight\": 8, \"source\": 5, \"target\": 11}, {\"weight\": 11, \"source\": 5, \"target\": 9}, {\"weight\": 16, \"source\": 5, \"target\": 7}]}","{\"states\": [679, 675], \"expectation_value\": -103.39025259530261, \"params\": [0.0027, -0.7177, 1.0003, -0.1033, 0.3552, -0.1908, 0.999, 0.0471, -0.0027, 0.6304000000000001, 0.9988, 0.2642, 0.1922, 0.4988, -0.0019, -0.5187, 0.4546, 0.3124, 0.993, 0.0142, 0.9917, 0.006, 0.0022, -0.7334, 0.9943000000000001, -0.12100000000000001, 0.3568, -0.28240000000000004, 0.9926, 0.0775, -0.0049, 0.6364000000000001, 0.9985, 0.28400000000000003, 0.1844, 0.5102, -0.006200000000000001, -0.5139, 0.4562, 0.2962, 0.9988, -0.0032, 0.998, 0.0125, 0.0028, 0.0002, 0.9999, 0.0019, 0.36160000000000003, 0.0028, 0.9923000000000001, 0.009300000000000001, -0.0024000000000000002, 0.0089, 0.9954000000000001, 0.0083, 0.1961, 0.004, -0.0017000000000000001, 0.0034000000000000002, 0.4536, 0.01, 1.0001, 0.0023, 0.9995, 0.0034000000000000002, 0.0066, 0.7249, -0.1983, 0.2558, 0.08410000000000001, -0.6002000000000001, 0.5551, -0.5094000000000001, 0.49250000000000005, 0.025900000000000003, 0.028900000000000002, -0.0097, 0.2654, -0.2457, -0.232, 0.13720000000000002, -0.263, 0.5602, -0.5307000000000001, 0.44320000000000004, 0.2795, -0.018600000000000002, 0.0027, 0.009600000000000001, 0.0039000000000000003, 0.0061, 0.0022, 0.0086, 0.008, 0.0025, 0.0091, 0.0004, 0.007500000000000001], \"bitstrings\": [\"10101011000\", \"10101011100\"], \"total_optimization_steps\": 100, \"probabilities\": [0.26258086982199963, 0.4565086792711581], \"optimization_time\": 56.08116054534912}","7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(10)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(9) @ Z(10)) + 7.0 * (Z(9) @ Z(8)) + 16.0 * Z(3) + 8.0 * Z(2) + 13.5 * Z(1) + -5.5 * Z(4) + 5.5 * Z(5) + 2.5 * Z(6) + -3.0 * Z(7) + 12.5 * Z(10) + 11.0 * Z(8) + 15.0 * Z(9) + -13.0 * Z(0)",18,11,3,"{\"smallest_eigenvalues\": [-118.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -109.5, \"smallest_bitstrings\": [\"10101011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nrx(0.0027) q[0];\nrz(-0.7177) q[0];\nrx(1.0003) q[1];\nrz(-0.1033) q[1];\nrx(0.3552) q[2];\nrz(-0.1908) q[2];\nrx(0.999) q[3];\nrz(0.0471) q[3];\nrx(-0.0027) q[4];\nrz(0.6304) q[4];\nrx(0.9988) q[5];\nrz(0.2642) q[5];\nrx(0.1922) q[6];\nrz(0.4988) q[6];\nrx(-0.0019) q[7];\nrz(-0.5187) q[7];\nrx(0.4546) q[8];\nrz(0.3124) q[8];\nrx(0.993) q[9];\nrz(0.0142) q[9];\nrx(0.9917) q[10];\nrz(0.006) q[10];\ncrz(0.0066) q[10], q[0];\ncrz(0.0289) q[9], q[10];\ncrz(0.0259) q[8], q[9];\ncrz(0.4925) q[7], q[8];\ncrz(-0.5094) q[6], q[7];\ncrz(0.5551) q[5], q[6];\ncrz(-0.6002) q[4], q[5];\ncrz(0.0841) q[3], q[4];\ncrz(0.2558) q[2], q[3];\ncrz(-0.1983) q[1], q[2];\ncrz(0.7249) q[0], q[1];\nrx(0.0022) q[0];\nrz(-0.7334) q[0];\nrx(0.9943) q[1];\nrz(-0.121) q[1];\nrx(0.3568) q[2];\nrz(-0.2824) q[2];\nrx(0.9926) q[3];\nrz(0.0775) q[3];\nrx(-0.0049) q[4];\nrz(0.6364) q[4];\nrx(0.9985) q[5];\nrz(0.284) q[5];\nrx(0.1844) q[6];\nrz(0.5102) q[6];\nrx(-0.0062) q[7];\nrz(-0.5139) q[7];\nrx(0.4562) q[8];\nrz(0.2962) q[8];\nrx(0.9988) q[9];\nrz(-0.0032) q[9];\nrx(0.998) q[10];\nrz(0.0125) q[10];\ncrz(-0.0097) q[10], q[0];\ncrz(-0.0186) q[9], q[10];\ncrz(0.2795) q[8], q[9];\ncrz(0.4432) q[7], q[8];\ncrz(-0.5307) q[6], q[7];\ncrz(0.5602) q[5], q[6];\ncrz(-0.263) q[4], q[5];\ncrz(0.1372) q[3], q[4];\ncrz(-0.232) q[2], q[3];\ncrz(-0.2457) q[1], q[2];\ncrz(0.2654) q[0], q[1];\nrx(0.0028) q[0];\nrz(0.0002) q[0];\nrx(0.9999) q[1];\nrz(0.0019) q[1];\nrx(0.3616) q[2];\nrz(0.0028) q[2];\nrx(0.9923) q[3];\nrz(0.0093) q[3];\nrx(-0.0024) q[4];\nrz(0.0089) q[4];\nrx(0.9954) q[5];\nrz(0.0083) q[5];\nrx(0.1961) q[6];\nrz(0.004) q[6];\nrx(-0.0017) q[7];\nrz(0.0034) q[7];\nrx(0.4536) q[8];\nrz(0.01) q[8];\nrx(1.0001) q[9];\nrz(0.0023) q[9];\nrx(0.9995) q[10];\nrz(0.0034) q[10];\ncrz(0.0027) q[10], q[0];\ncrz(0.0075) q[9], q[10];\ncrz(0.0004) q[8], q[9];\ncrz(0.0091) q[7], q[8];\ncrz(0.0025) q[6], q[7];\ncrz(0.008) q[5], q[6];\ncrz(0.0086) q[4], q[5];\ncrz(0.0022) q[3], q[4];\ncrz(0.0061) q[2], q[3];\ncrz(0.0039) q[1], q[2];\ncrz(0.0096) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\nbit[11] c;\nqubit[11] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\ncrz(x22) q[10], q[0];\ncrz(x23) q[9], q[10];\ncrz(x24) q[8], q[9];\ncrz(x25) q[7], q[8];\ncrz(x26) q[6], q[7];\ncrz(x27) q[5], q[6];\ncrz(x28) q[4], q[5];\ncrz(x29) q[3], q[4];\ncrz(x30) q[2], q[3];\ncrz(x31) q[1], q[2];\ncrz(x32) q[0], q[1];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x39) q[3];\nrz(x40) q[3];\nrx(x41) q[4];\nrz(x42) q[4];\nrx(x43) q[5];\nrz(x44) q[5];\nrx(x45) q[6];\nrz(x46) q[6];\nrx(x47) q[7];\nrz(x48) q[7];\nrx(x49) q[8];\nrz(x50) q[8];\nrx(x10) q[9];\nrz(x51) q[9];\nrx(x52) q[10];\nrz(x53) q[10];\ncrz(x54) q[10], q[0];\ncrz(x55) q[9], q[10];\ncrz(x56) q[8], q[9];\ncrz(x57) q[7], q[8];\ncrz(x58) q[6], q[7];\ncrz(x59) q[5], q[6];\ncrz(x60) q[4], q[5];\ncrz(x61) q[3], q[4];\ncrz(x62) q[2], q[3];\ncrz(x63) q[1], q[2];\ncrz(x64) q[0], q[1];\nrx(x65) q[0];\nrz(x66) q[0];\nrx(x67) q[1];\nrz(x68) q[1];\nrx(x69) q[2];\nrz(x65) q[2];\nrx(x70) q[3];\nrz(x71) q[3];\nrx(x72) q[4];\nrz(x73) q[4];\nrx(x74) q[5];\nrz(x75) q[5];\nrx(x76) q[6];\nrz(x77) q[6];\nrx(x78) q[7];\nrz(x79) q[7];\nrx(x80) q[8];\nrz(x81) q[8];\nrx(x82) q[9];\nrz(x83) q[9];\nrx(x84) q[10];\nrz(x79) q[10];\ncrz(x0) q[10], q[0];\ncrz(x85) q[9], q[10];\ncrz(x86) q[8], q[9];\ncrz(x87) q[7], q[8];\ncrz(x88) q[6], q[7];\ncrz(x89) q[5], q[6];\ncrz(x90) q[4], q[5];\ncrz(x33) q[3], q[4];\ncrz(x91) q[2], q[3];\ncrz(x92) q[1], q[2];\ncrz(x93) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10, 11, 12]}\"}","{\"circuits\": [], \"gradients\": []}"]
["b85bee69825363dbbbe7929bab4cfbbc","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 5, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 8}, {\"capacity\": 5, \"source\": 2, \"target\": 8}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 4, \"source\": 3, \"target\": 7}, {\"capacity\": 3, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 5, \"source\": 4, \"target\": 6}, {\"capacity\": 3, \"source\": 5, \"target\": 2}, {\"capacity\": 4, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 8}, {\"capacity\": 5, \"source\": 6, \"target\": 2}, {\"capacity\": 5, \"source\": 6, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 4}, {\"capacity\": 1, \"source\": 6, \"target\": 7}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 5, \"source\": 7, \"target\": 4}, {\"capacity\": 4, \"source\": 7, \"target\": 6}, {\"capacity\": 1, \"source\": 7, \"target\": 9}, {\"capacity\": 1, \"source\": 8, \"target\": 1}]}","{\"states\": [1022, 1], \"expectation_value\": -1.0144748885697448, \"params\": [[-0.07060000000000001], [0.0714]], \"bitstrings\": [\"0000000001\", \"1111111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0016943444311910037, 0.0018484556973201313], \"optimization_time\": 9.386195182800293}","-1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.25 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(3)) + -1.25 * (Z(6) @ Z(7)) + -1.75 * (Z(6) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(5) + -1.75 * Z(8) + -1.0 * Z(2) + 0.25 * Z(3) + 1.5 * Z(7) + 0.5 * Z(4) + 0.0 * Z(6) + 1.25 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-20.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -17.0, \"smallest_bitstrings\": [\"1111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(0.1765) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(0.1765) q[5];\ncx q[1], q[5];\ncx q[1], q[8];\nrz(0.1059) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(0.0353) q[8];\ncx q[5], q[8];\ncx q[5], q[2];\nrz(0.1059) q[2];\ncx q[5], q[2];\ncx q[8], q[2];\nrz(0.1765) q[2];\ncx q[8], q[2];\ncx q[1], q[3];\nrz(0.1059) q[3];\ncx q[1], q[3];\ncx q[3], q[7];\nrz(0.1765) q[7];\ncx q[3], q[7];\ncx q[1], q[4];\nrz(0.1059) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0353) q[4];\ncx q[2], q[4];\ncx q[7], q[4];\nrz(0.1765) q[4];\ncx q[7], q[4];\ncx q[5], q[6];\nrz(0.1412) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(0.1765) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.1765) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(0.1765) q[6];\ncx q[7], q[6];\ncx q[4], q[6];\nrz(0.2471) q[6];\ncx q[4], q[6];\ncx q[0], q[9];\nrz(-0.2118) q[9];\ncx q[0], q[9];\ncx q[7], q[9];\nrz(0.0353) q[9];\ncx q[7], q[9];\nrz(0.1765) q[1];\nrz(0.0353) q[0];\nrz(-0.1059) q[5];\nrz(0.2471) q[8];\nrz(0.1412) q[2];\nrz(-0.0353) q[3];\nrz(-0.2118) q[7];\nrz(-0.0706) q[4];\nrz(0) q[6];\nrz(-0.1765) q[9];\nh q[0];\nrz(0.1428) q[0];\nh q[0];\nh q[1];\nrz(0.1428) q[1];\nh q[1];\nh q[2];\nrz(0.1428) q[2];\nh q[2];\nh q[3];\nrz(0.1428) q[3];\nh q[3];\nh q[4];\nrz(0.1428) q[4];\nh q[4];\nh q[5];\nrz(0.1428) q[5];\nh q[5];\nh q[6];\nrz(0.1428) q[6];\nh q[6];\nh q[7];\nrz(0.1428) q[7];\nh q[7];\nh q[8];\nrz(0.1428) q[8];\nh q[8];\nh q[9];\nrz(0.1428) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[1], q[8];\nrz(x1) q[8];\ncx q[1], q[8];\ncx q[5], q[8];\nrz(x2) q[8];\ncx q[5], q[8];\ncx q[5], q[2];\nrz(x1) q[2];\ncx q[5], q[2];\ncx q[8], q[2];\nrz(x0) q[2];\ncx q[8], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[4], q[6];\nrz(x4) q[6];\ncx q[4], q[6];\ncx q[0], q[9];\nrz(x5) q[9];\ncx q[0], q[9];\ncx q[7], q[9];\nrz(x2) q[9];\ncx q[7], q[9];\nrz(x0) q[1];\nrz(x2) q[0];\nrz(x6) q[5];\nrz(x4) q[8];\nrz(x3) q[2];\nrz(x7) q[3];\nrz(x5) q[7];\nrz(x8) q[4];\nrz(x9) q[6];\nrz(x10) q[9];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\nh q[7];\nrz(x11) q[7];\nh q[7];\nh q[8];\nrz(x11) q[8];\nh q[8];\nh q[9];\nrz(x11) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["7bc4dde9a09d0b94c5097b219891d81a","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}]}","{\"states\": [31979, 32235], \"expectation_value\": -18.768838976277035, \"params\": [-0.0074, -0.0037, 0.3916, 0.40140000000000003, 0.3965, 0.39640000000000003, 0.38820000000000005, 0.38520000000000004, 0.3884, 0.39130000000000004, 0.3966, 0.4037, 0.018600000000000002, 0.0262, 0.2122, 0.2044, 0.3966, 0.39590000000000003, 0.4036, 0.4051, 0.4223, 0.41600000000000004, 0.1665, 0.1646, 0.3922, 0.38320000000000004, 0.0013000000000000002, -0.0058000000000000005, 0.38470000000000004, 0.38820000000000005, 0.3895, 0.3921, -0.006, -0.0068000000000000005, 0.40140000000000003, 0.40090000000000003, 0.3881, 0.3925, 0.38870000000000005, 0.38630000000000003, 0.38430000000000003, 0.38430000000000003, 0.3986, 0.3981, 0.0275, 0.019, 0.21100000000000002, 0.20800000000000002, 0.39930000000000004, 0.40090000000000003, 0.4151, 0.41100000000000003, 0.4158, 0.41040000000000004, 0.1564, 0.1453, 0.3879, 0.3831, -0.004, -0.00030000000000000003, 0.3931, 0.4058, 0.39030000000000004, 0.395, -0.0033, -0.0022, 0.39630000000000004, 0.38920000000000005, 0.397, 0.3921, 0.39130000000000004, 0.38880000000000003, 0.388, 0.3839, 0.4047, 0.3992, 0.025, 0.0245, 0.2096, 0.2048, 0.4016, 0.3926, 0.40990000000000004, 0.4042, 0.39980000000000004, 0.3955, 0.1265, 0.1293, 0.38320000000000004, 0.3851, -0.007500000000000001, -0.0047, 0.4031, 0.3985, 0.40180000000000005, 0.3894, -0.007500000000000001, 0.0012000000000000001, 0.385, 0.384, 0.39840000000000003, 0.38930000000000003, 0.3909, 0.38480000000000003, 0.3876, 0.39080000000000004, 0.395, 0.3906, 0.0234, 0.0193, 0.2117, 0.2136, 0.3884, 0.3765, 0.3869, 0.3698, 0.40490000000000004, 0.4126, 0.13540000000000002, 0.15430000000000002, 0.3896, 0.392, -0.002, -0.008, 0.3778, 0.37520000000000003, 0.38970000000000005, 0.3825, 0.1704, 0.12760000000000002, 0.2791, 0.2775, 0.0155, 0.2801, 0.0029000000000000002, 0.008700000000000001, 0.0461, -0.0092, -0.027200000000000002, 0.007500000000000001, -0.0796, -0.0159, -0.1608, -0.0966, -0.0881, 0.2247, 0.1203, -0.08900000000000001, -0.1114, 0.07300000000000001, -0.275, -0.16640000000000002, -0.2948, -0.1951, 0.2962, -0.187, 0.2775, -0.0008, 0.0092, 0.27740000000000004, 0.0358, 0.049300000000000004, -0.1671, 0.25120000000000003, 0.003, -0.2757, -0.0038, -0.0057, 0.0032, -0.0011, 0.0198, 0.0016, -0.09040000000000001, -0.0002, 0.24550000000000002, -0.0524, -0.1081, 0.2531, 0.0222, -0.0342, -0.1226, -0.0563, 0.058100000000000006, 0.0275, -0.09680000000000001, 0.2741, -0.055, -0.058600000000000006, 0.2686, -0.09040000000000001, -0.0334, 0.1522, -0.2379, -0.027100000000000003, -0.28, -0.18480000000000002, -0.0092, -0.2768, 0.0013000000000000002, 0.0091, 0.0014, 0.0006000000000000001, 0.0006000000000000001, 0.0022, 0.0698, 0.0022, 0.2642, 0.1517, 0.11950000000000001, 0.2883, -0.0843, 0.0489, 0.12860000000000002, -0.06430000000000001, 0.2988, 0.2675, -0.0427, 0.2999, -0.09670000000000001, -0.033, -0.21350000000000002, -0.1014, -0.055, -0.27590000000000003, -0.2768, 0.0032, -0.28390000000000004, 0.0026000000000000003, 0.0195, 0.01, 0.0097, 0.0094, 0.0044, 0.0011, 0.0041, 0.003, 0.1751, 0.0066, 0.2879, 0.0094, 0.0536, 0.007, -0.0405, 0.0013000000000000002, 0.2741, 0.007, 0.30010000000000003, 0.001, -0.0256, 0.0071, -0.1048, 0.0079, -0.2806, 0.0048000000000000004, -0.0747, 0.0092], \"bitstrings\": [\"1000001100010100\", \"1000001000010100\"], \"total_optimization_steps\": 60, \"probabilities\": [0.3225501876682146, 0.3950931826844917], \"optimization_time\": 75.1460542678833}","0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(11) @ Z(3)) + 0.25 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + 0.25 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(15) @ Z(3)) + 0.25 * (Z(15) @ Z(1)) + 0.25 * (Z(15) @ Z(5)) + 0.5 * (Z(15) @ Z(7)) + 0.25 * (Z(15) @ Z(9)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(13)) + 0.25 * (Z(14) @ Z(1)) + 0.5 * (Z(14) @ Z(2)) + 0.25 * (Z(14) @ Z(5)) + 0.5 * (Z(14) @ Z(6)) + 0.25 * (Z(14) @ Z(9)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(15)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(15)) + 0.5 * (Z(12) @ Z(14)) + 3.0 * Z(3) + 3.0 * Z(1) + 2.5 * Z(2) + 2.0 * Z(0) + 3.0 * Z(5) + 2.0 * Z(7) + 2.25 * Z(6) + 2.75 * Z(4) + 2.5 * Z(9) + 2.25 * Z(11) + 2.5 * Z(10) + 2.75 * Z(8) + 2.0 * Z(13) + 2.75 * Z(15) + 2.75 * Z(14) + 2.0 * Z(12)",13,16,4,"{\"smallest_eigenvalues\": [-19.999999999999847], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -19.999999999999815, \"smallest_bitstrings\": [\"1000001000010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nry(-0.0074) q[0];\nry(0.3916) q[1];\nry(0.3965) q[2];\nry(0.3882) q[3];\nry(0.3884) q[4];\nry(0.3966) q[5];\nry(0.0186) q[6];\nry(0.2122) q[7];\nry(0.3966) q[8];\nry(0.4036) q[9];\nry(0.4223) q[10];\nry(0.1665) q[11];\nry(0.3922) q[12];\nry(0.0013) q[13];\nry(0.3847) q[14];\nry(0.3895) q[15];\ncrz(0.1704) q[15], q[0];\ncrz(0.0092) q[14], q[15];\ncrz(0.2775) q[13], q[14];\ncrz(0.2962) q[12], q[13];\ncrz(-0.2948) q[11], q[12];\ncrz(-0.275) q[10], q[11];\ncrz(-0.1114) q[9], q[10];\ncrz(0.1203) q[8], q[9];\ncrz(-0.0881) q[7], q[8];\ncrz(-0.1608) q[6], q[7];\ncrz(-0.0796) q[5], q[6];\ncrz(-0.0272) q[4], q[5];\ncrz(0.0461) q[3], q[4];\ncrz(0.0029) q[2], q[3];\ncrz(0.0155) q[1], q[2];\ncrz(0.2791) q[0], q[1];\nry(-0.0037) q[0];\nry(0.4014) q[1];\nry(0.3964) q[2];\nry(0.3852) q[3];\nry(0.3913) q[4];\nry(0.4037) q[5];\nry(0.0262) q[6];\nry(0.2044) q[7];\nry(0.3959) q[8];\nry(0.4051) q[9];\nry(0.416) q[10];\nry(0.1646) q[11];\nry(0.3832) q[12];\nry(-0.0058) q[13];\nry(0.3882) q[14];\nry(0.3921) q[15];\ncrz(0.1276) q[15], q[14];\ncrz(0.2775) q[0], q[15];\ncrz(0.2801) q[0], q[1];\ncrz(0.0087) q[1], q[2];\ncrz(-0.0092) q[2], q[3];\ncrz(0.0075) q[3], q[4];\ncrz(-0.0159) q[4], q[5];\ncrz(-0.0966) q[5], q[6];\ncrz(0.2247) q[6], q[7];\ncrz(-0.089) q[7], q[8];\ncrz(0.073) q[8], q[9];\ncrz(-0.1664) q[9], q[10];\ncrz(-0.1951) q[10], q[11];\ncrz(-0.187) q[11], q[12];\ncrz(-0.0008) q[12], q[13];\ncrz(0.2774) q[13], q[14];\nry(-0.006) q[0];\nry(0.4014) q[1];\nry(0.3881) q[2];\nry(0.3887) q[3];\nry(0.3843) q[4];\nry(0.3986) q[5];\nry(0.0275) q[6];\nry(0.211) q[7];\nry(0.3993) q[8];\nry(0.4151) q[9];\nry(0.4158) q[10];\nry(0.1564) q[11];\nry(0.3879) q[12];\nry(-0.004) q[13];\nry(0.3931) q[14];\nry(0.3903) q[15];\ncrz(0.0358) q[15], q[0];\ncrz(-0.0334) q[14], q[15];\ncrz(0.2686) q[13], q[14];\ncrz(-0.055) q[12], q[13];\ncrz(-0.0968) q[11], q[12];\ncrz(0.0581) q[10], q[11];\ncrz(-0.1226) q[9], q[10];\ncrz(0.0222) q[8], q[9];\ncrz(-0.1081) q[7], q[8];\ncrz(0.2455) q[6], q[7];\ncrz(-0.0904) q[5], q[6];\ncrz(0.0198) q[4], q[5];\ncrz(0.0032) q[3], q[4];\ncrz(-0.0038) q[2], q[3];\ncrz(0.003) q[1], q[2];\ncrz(-0.1671) q[0], q[1];\nry(-0.0068) q[0];\nry(0.4009) q[1];\nry(0.3925) q[2];\nry(0.3863) q[3];\nry(0.3843) q[4];\nry(0.3981) q[5];\nry(0.019) q[6];\nry(0.208) q[7];\nry(0.4009) q[8];\nry(0.411) q[9];\nry(0.4104) q[10];\nry(0.1453) q[11];\nry(0.3831) q[12];\nry(-0.0003) q[13];\nry(0.4058) q[14];\nry(0.395) q[15];\ncrz(0.0493) q[15], q[14];\ncrz(0.2512) q[0], q[15];\ncrz(-0.2757) q[0], q[1];\ncrz(-0.0057) q[1], q[2];\ncrz(-0.0011) q[2], q[3];\ncrz(0.0016) q[3], q[4];\ncrz(-0.0002) q[4], q[5];\ncrz(-0.0524) q[5], q[6];\ncrz(0.2531) q[6], q[7];\ncrz(-0.0342) q[7], q[8];\ncrz(-0.0563) q[8], q[9];\ncrz(0.0275) q[9], q[10];\ncrz(0.2741) q[10], q[11];\ncrz(-0.0586) q[11], q[12];\ncrz(-0.0904) q[12], q[13];\ncrz(0.1522) q[13], q[14];\nry(-0.0033) q[0];\nry(0.3963) q[1];\nry(0.397) q[2];\nry(0.3913) q[3];\nry(0.388) q[4];\nry(0.4047) q[5];\nry(0.025) q[6];\nry(0.2096) q[7];\nry(0.4016) q[8];\nry(0.4099) q[9];\nry(0.3998) q[10];\nry(0.1265) q[11];\nry(0.3832) q[12];\nry(-0.0075) q[13];\nry(0.4031) q[14];\nry(0.4018) q[15];\ncrz(-0.2379) q[15], q[0];\ncrz(-0.055) q[14], q[15];\ncrz(-0.2135) q[13], q[14];\ncrz(-0.0967) q[12], q[13];\ncrz(-0.0427) q[11], q[12];\ncrz(0.2988) q[10], q[11];\ncrz(0.1286) q[9], q[10];\ncrz(-0.0843) q[8], q[9];\ncrz(0.1195) q[7], q[8];\ncrz(0.2642) q[6], q[7];\ncrz(0.0698) q[5], q[6];\ncrz(0.0006) q[4], q[5];\ncrz(0.0014) q[3], q[4];\ncrz(0.0013) q[2], q[3];\ncrz(-0.0092) q[1], q[2];\ncrz(-0.28) q[0], q[1];\nry(-0.0022) q[0];\nry(0.3892) q[1];\nry(0.3921) q[2];\nry(0.3888) q[3];\nry(0.3839) q[4];\nry(0.3992) q[5];\nry(0.0245) q[6];\nry(0.2048) q[7];\nry(0.3926) q[8];\nry(0.4042) q[9];\nry(0.3955) q[10];\nry(0.1293) q[11];\nry(0.3851) q[12];\nry(-0.0047) q[13];\nry(0.3985) q[14];\nry(0.3894) q[15];\ncrz(-0.0271) q[15], q[14];\ncrz(-0.1848) q[0], q[15];\ncrz(-0.2768) q[0], q[1];\ncrz(0.0091) q[1], q[2];\ncrz(0.0006) q[2], q[3];\ncrz(0.0022) q[3], q[4];\ncrz(0.0022) q[4], q[5];\ncrz(0.1517) q[5], q[6];\ncrz(0.2883) q[6], q[7];\ncrz(0.0489) q[7], q[8];\ncrz(-0.0643) q[8], q[9];\ncrz(0.2675) q[9], q[10];\ncrz(0.2999) q[10], q[11];\ncrz(-0.033) q[11], q[12];\ncrz(-0.1014) q[12], q[13];\ncrz(-0.2759) q[13], q[14];\nry(-0.0075) q[0];\nry(0.385) q[1];\nry(0.3984) q[2];\nry(0.3909) q[3];\nry(0.3876) q[4];\nry(0.395) q[5];\nry(0.0234) q[6];\nry(0.2117) q[7];\nry(0.3884) q[8];\nry(0.3869) q[9];\nry(0.4049) q[10];\nry(0.1354) q[11];\nry(0.3896) q[12];\nry(-0.002) q[13];\nry(0.3778) q[14];\nry(0.3897) q[15];\ncrz(-0.2768) q[15], q[0];\ncrz(-0.0747) q[14], q[15];\ncrz(-0.2806) q[13], q[14];\ncrz(-0.1048) q[12], q[13];\ncrz(-0.0256) q[11], q[12];\ncrz(0.3001) q[10], q[11];\ncrz(0.2741) q[9], q[10];\ncrz(-0.0405) q[8], q[9];\ncrz(0.0536) q[7], q[8];\ncrz(0.2879) q[6], q[7];\ncrz(0.1751) q[5], q[6];\ncrz(0.0041) q[4], q[5];\ncrz(0.0044) q[3], q[4];\ncrz(0.0097) q[2], q[3];\ncrz(0.0195) q[1], q[2];\ncrz(-0.2839) q[0], q[1];\nry(0.0012) q[0];\nry(0.384) q[1];\nry(0.3893) q[2];\nry(0.3848) q[3];\nry(0.3908) q[4];\nry(0.3906) q[5];\nry(0.0193) q[6];\nry(0.2136) q[7];\nry(0.3765) q[8];\nry(0.3698) q[9];\nry(0.4126) q[10];\nry(0.1543) q[11];\nry(0.392) q[12];\nry(-0.008) q[13];\nry(0.3752) q[14];\nry(0.3825) q[15];\ncrz(0.0032) q[15], q[14];\ncrz(0.0026) q[0], q[15];\ncrz(0.01) q[0], q[1];\ncrz(0.0094) q[1], q[2];\ncrz(0.0011) q[2], q[3];\ncrz(0.003) q[3], q[4];\ncrz(0.0066) q[4], q[5];\ncrz(0.0094) q[5], q[6];\ncrz(0.007) q[6], q[7];\ncrz(0.0013) q[7], q[8];\ncrz(0.007) q[8], q[9];\ncrz(0.001) q[9], q[10];\ncrz(0.0071) q[10], q[11];\ncrz(0.0079) q[11], q[12];\ncrz(0.0048) q[12], q[13];\ncrz(0.0092) q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x149;\ninput float[64] x15;\ninput float[64] x150;\ninput float[64] x151;\ninput float[64] x152;\ninput float[64] x153;\ninput float[64] x154;\ninput float[64] x155;\ninput float[64] x156;\ninput float[64] x157;\ninput float[64] x158;\ninput float[64] x159;\ninput float[64] x16;\ninput float[64] x160;\ninput float[64] x161;\ninput float[64] x162;\ninput float[64] x163;\ninput float[64] x164;\ninput float[64] x165;\ninput float[64] x166;\ninput float[64] x167;\ninput float[64] x168;\ninput float[64] x169;\ninput float[64] x17;\ninput float[64] x170;\ninput float[64] x171;\ninput float[64] x172;\ninput float[64] x173;\ninput float[64] x174;\ninput float[64] x175;\ninput float[64] x176;\ninput float[64] x177;\ninput float[64] x178;\ninput float[64] x179;\ninput float[64] x18;\ninput float[64] x180;\ninput float[64] x181;\ninput float[64] x182;\ninput float[64] x183;\ninput float[64] x184;\ninput float[64] x185;\ninput float[64] x186;\ninput float[64] x187;\ninput float[64] x188;\ninput float[64] x189;\ninput float[64] x19;\ninput float[64] x190;\ninput float[64] x191;\ninput float[64] x192;\ninput float[64] x193;\ninput float[64] x194;\ninput float[64] x195;\ninput float[64] x196;\ninput float[64] x197;\ninput float[64] x198;\ninput float[64] x199;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x200;\ninput float[64] x201;\ninput float[64] x202;\ninput float[64] x203;\ninput float[64] x204;\ninput float[64] x205;\ninput float[64] x206;\ninput float[64] x207;\ninput float[64] x208;\ninput float[64] x209;\ninput float[64] x21;\ninput float[64] x210;\ninput float[64] x211;\ninput float[64] x212;\ninput float[64] x213;\ninput float[64] x214;\ninput float[64] x215;\ninput float[64] x216;\ninput float[64] x217;\ninput float[64] x218;\ninput float[64] x219;\ninput float[64] x22;\ninput float[64] x220;\ninput float[64] x221;\ninput float[64] x222;\ninput float[64] x223;\ninput float[64] x224;\ninput float[64] x225;\ninput float[64] x226;\ninput float[64] x227;\ninput float[64] x228;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[16] c;\nqubit[16] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x5) q[8];\nry(x8) q[9];\nry(x9) q[10];\nry(x10) q[11];\nry(x11) q[12];\nry(x12) q[13];\nry(x13) q[14];\nry(x14) q[15];\ncrz(x15) q[15], q[0];\ncrz(x16) q[14], q[15];\ncrz(x17) q[13], q[14];\ncrz(x18) q[12], q[13];\ncrz(x19) q[11], q[12];\ncrz(x20) q[10], q[11];\ncrz(x21) q[9], q[10];\ncrz(x22) q[8], q[9];\ncrz(x23) q[7], q[8];\ncrz(x24) q[6], q[7];\ncrz(x25) q[5], q[6];\ncrz(x26) q[4], q[5];\ncrz(x27) q[3], q[4];\ncrz(x28) q[2], q[3];\ncrz(x29) q[1], q[2];\ncrz(x30) q[0], q[1];\nry(x31) q[0];\nry(x32) q[1];\nry(x33) q[2];\nry(x34) q[3];\nry(x35) q[4];\nry(x36) q[5];\nry(x37) q[6];\nry(x38) q[7];\nry(x39) q[8];\nry(x40) q[9];\nry(x41) q[10];\nry(x42) q[11];\nry(x43) q[12];\nry(x44) q[13];\nry(x3) q[14];\nry(x45) q[15];\ncrz(x46) q[15], q[14];\ncrz(x17) q[0], q[15];\ncrz(x47) q[0], q[1];\ncrz(x48) q[1], q[2];\ncrz(x49) q[2], q[3];\ncrz(x50) q[3], q[4];\ncrz(x51) q[4], q[5];\ncrz(x52) q[5], q[6];\ncrz(x53) q[6], q[7];\ncrz(x54) q[7], q[8];\ncrz(x55) q[8], q[9];\ncrz(x56) q[9], q[10];\ncrz(x57) q[10], q[11];\ncrz(x58) q[11], q[12];\ncrz(x59) q[12], q[13];\ncrz(x60) q[13], q[14];\nry(x61) q[0];\nry(x32) q[1];\nry(x62) q[2];\nry(x63) q[3];\nry(x64) q[4];\nry(x65) q[5];\nry(x66) q[6];\nry(x67) q[7];\nry(x68) q[8];\nry(x69) q[9];\nry(x70) q[10];\nry(x71) q[11];\nry(x72) q[12];\nry(x73) q[13];\nry(x74) q[14];\nry(x75) q[15];\ncrz(x76) q[15], q[0];\ncrz(x77) q[14], q[15];\ncrz(x78) q[13], q[14];\ncrz(x79) q[12], q[13];\ncrz(x80) q[11], q[12];\ncrz(x81) q[10], q[11];\ncrz(x82) q[9], q[10];\ncrz(x83) q[8], q[9];\ncrz(x84) q[7], q[8];\ncrz(x85) q[6], q[7];\ncrz(x86) q[5], q[6];\ncrz(x87) q[4], q[5];\ncrz(x88) q[3], q[4];\ncrz(x89) q[2], q[3];\ncrz(x90) q[1], q[2];\ncrz(x91) q[0], q[1];\nry(x92) q[0];\nry(x93) q[1];\nry(x94) q[2];\nry(x95) q[3];\nry(x64) q[4];\nry(x96) q[5];\nry(x97) q[6];\nry(x98) q[7];\nry(x93) q[8];\nry(x99) q[9];\nry(x100) q[10];\nry(x101) q[11];\nry(x102) q[12];\nry(x103) q[13];\nry(x104) q[14];\nry(x105) q[15];\ncrz(x106) q[15], q[14];\ncrz(x107) q[0], q[15];\ncrz(x108) q[0], q[1];\ncrz(x109) q[1], q[2];\ncrz(x110) q[2], q[3];\ncrz(x111) q[3], q[4];\ncrz(x112) q[4], q[5];\ncrz(x113) q[5], q[6];\ncrz(x114) q[6], q[7];\ncrz(x115) q[7], q[8];\ncrz(x116) q[8], q[9];\ncrz(x66) q[9], q[10];\ncrz(x117) q[10], q[11];\ncrz(x118) q[11], q[12];\ncrz(x86) q[12], q[13];\ncrz(x119) q[13], q[14];\nry(x120) q[0];\nry(x121) q[1];\nry(x122) q[2];\nry(x35) q[3];\nry(x123) q[4];\nry(x124) q[5];\nry(x125) q[6];\nry(x126) q[7];\nry(x127) q[8];\nry(x128) q[9];\nry(x129) q[10];\nry(x130) q[11];\nry(x43) q[12];\nry(x131) q[13];\nry(x132) q[14];\nry(x133) q[15];\ncrz(x134) q[15], q[0];\ncrz(x79) q[14], q[15];\ncrz(x135) q[13], q[14];\ncrz(x136) q[12], q[13];\ncrz(x137) q[11], q[12];\ncrz(x138) q[10], q[11];\ncrz(x139) q[9], q[10];\ncrz(x140) q[8], q[9];\ncrz(x141) q[7], q[8];\ncrz(x142) q[6], q[7];\ncrz(x143) q[5], q[6];\ncrz(x144) q[4], q[5];\ncrz(x145) q[3], q[4];\ncrz(x12) q[2], q[3];\ncrz(x49) q[1], q[2];\ncrz(x146) q[0], q[1];\nry(x147) q[0];\nry(x148) q[1];\nry(x45) q[2];\nry(x149) q[3];\nry(x150) q[4];\nry(x151) q[5];\nry(x152) q[6];\nry(x153) q[7];\nry(x154) q[8];\nry(x155) q[9];\nry(x156) q[10];\nry(x157) q[11];\nry(x158) q[12];\nry(x159) q[13];\nry(x160) q[14];\nry(x161) q[15];\ncrz(x162) q[15], q[14];\ncrz(x163) q[0], q[15];\ncrz(x164) q[0], q[1];\ncrz(x165) q[1], q[2];\ncrz(x144) q[2], q[3];\ncrz(x166) q[3], q[4];\ncrz(x166) q[4], q[5];\ncrz(x167) q[5], q[6];\ncrz(x168) q[6], q[7];\ncrz(x169) q[7], q[8];\ncrz(x170) q[8], q[9];\ncrz(x171) q[9], q[10];\ncrz(x172) q[10], q[11];\ncrz(x173) q[11], q[12];\ncrz(x174) q[12], q[13];\ncrz(x175) q[13], q[14];\nry(x131) q[0];\nry(x176) q[1];\nry(x177) q[2];\nry(x178) q[3];\nry(x179) q[4];\nry(x105) q[5];\nry(x180) q[6];\nry(x181) q[7];\nry(x4) q[8];\nry(x182) q[9];\nry(x183) q[10];\nry(x184) q[11];\nry(x185) q[12];\nry(x186) q[13];\nry(x187) q[14];\nry(x188) q[15];\ncrz(x164) q[15], q[0];\ncrz(x189) q[14], q[15];\ncrz(x190) q[13], q[14];\ncrz(x191) q[12], q[13];\ncrz(x192) q[11], q[12];\ncrz(x193) q[10], q[11];\ncrz(x117) q[9], q[10];\ncrz(x194) q[8], q[9];\ncrz(x195) q[7], q[8];\ncrz(x196) q[6], q[7];\ncrz(x197) q[5], q[6];\ncrz(x198) q[4], q[5];\ncrz(x199) q[3], q[4];\ncrz(x200) q[2], q[3];\ncrz(x201) q[1], q[2];\ncrz(x202) q[0], q[1];\nry(x203) q[0];\nry(x204) q[1];\nry(x205) q[2];\nry(x206) q[3];\nry(x207) q[4];\nry(x208) q[5];\nry(x209) q[6];\nry(x210) q[7];\nry(x211) q[8];\nry(x212) q[9];\nry(x213) q[10];\nry(x214) q[11];\nry(x215) q[12];\nry(x216) q[13];\nry(x217) q[14];\nry(x218) q[15];\ncrz(x88) q[15], q[14];\ncrz(x219) q[0], q[15];\ncrz(x220) q[0], q[1];\ncrz(x221) q[1], q[2];\ncrz(x222) q[2], q[3];\ncrz(x90) q[3], q[4];\ncrz(x223) q[4], q[5];\ncrz(x221) q[5], q[6];\ncrz(x224) q[6], q[7];\ncrz(x12) q[7], q[8];\ncrz(x224) q[8], q[9];\ncrz(x225) q[9], q[10];\ncrz(x226) q[10], q[11];\ncrz(x227) q[11], q[12];\ncrz(x228) q[12], q[13];\ncrz(x16) q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 1}, {\"id\": 3}, {\"id\": 2}, {\"id\": 0}], \"edges\": [{\"source\": 1, \"target\": 0}, {\"source\": 3, \"target\": 2}, {\"source\": 3, \"target\": 0}, {\"source\": 2, \"target\": 0}]}}","{\"circuits\": [], \"gradients\": []}"]
["e0b12a2c7bc741941f8e6751916ec58b","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 9, \"target\": 10}, {\"source\": 9, \"target\": 11}]}","{\"states\": [0, 2047], \"expectation_value\": -32.1748010691134, \"params\": [[[0.0019, 1.6097000000000001], [0.0024000000000000002, 0.002], [0.0016, 0.0018000000000000002], [0.0016, 0.0018000000000000002], [0.0022, 0.0018000000000000002], [0.0019, 0.0023], [0.0025, 0.0021000000000000003], [0.002, 0.002], [0.0021000000000000003, 0.002], [0.0022, 0.0019], [-0.0025, 0.0021000000000000003]]], \"bitstrings\": [\"11111111111\", \"00000000000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.48052348350183005, 0.5194544629990089], \"optimization_time\": 6.653263807296753}","-3.0 * (Z(0) @ Z(6)) + 1.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + -4.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(9)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(9)) + -2.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + -3.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(9)) + -3.0 * (Z(8) @ Z(1)) + 1.5 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(5)) + -3.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -3.0 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(10)) + 0.5 * Z(6) + 0.5 * Z(0) + 0.5 * Z(9) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 1.0 * Z(2) + -1.5 * Z(10) + 1.0 * Z(3)",15,11,1,"{\"smallest_eigenvalues\": [-36.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -35.5, \"smallest_bitstrings\": [\"00000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.0019) q[0];\nry(0.0024) q[1];\nry(0.0016) q[2];\nry(0.0016) q[3];\nry(0.0022) q[4];\nry(0.0019) q[5];\nry(0.0025) q[6];\nry(0.002) q[7];\nry(0.0021) q[8];\nry(0.0022) q[9];\nry(-0.0025) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.6097) q[0];\nry(0.002) q[1];\nry(0.0018) q[2];\nry(0.0018) q[3];\nry(0.0018) q[4];\nry(0.0023) q[5];\nry(0.0021) q[6];\nry(0.002) q[7];\nry(0.002) q[8];\nry(0.0019) q[9];\nry(0.0021) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x2) q[3];\nry(x3) q[4];\nry(x0) q[5];\nry(x4) q[6];\nry(x5) q[7];\nry(x6) q[8];\nry(x3) q[9];\nry(x7) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x5) q[1];\nry(x9) q[2];\nry(x9) q[3];\nry(x9) q[4];\nry(x10) q[5];\nry(x6) q[6];\nry(x5) q[7];\nry(x5) q[8];\nry(x0) q[9];\nry(x6) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 8}","{\"circuits\": [], \"gradients\": []}"]
["b5910a324f048b27c641d80d330b3d22","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 1}, {\"weight\": 19, \"source\": 0, \"target\": 8}, {\"weight\": 19, \"source\": 0, \"target\": 2}, {\"weight\": 16, \"source\": 0, \"target\": 6}, {\"weight\": 13, \"source\": 1, \"target\": 4}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 8, \"source\": 4, \"target\": 5}, {\"weight\": 2, \"source\": 6, \"target\": 7}, {\"weight\": 15, \"source\": 7, \"target\": 8}]}","{\"states\": [453, 241], \"expectation_value\": -19.982205140933583, \"params\": [[0.0263, 0.0031000000000000003], [-0.0775, -0.0709]], \"bitstrings\": [\"000111010\", \"100001110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005656667291643155, 0.006773413642719639], \"optimization_time\": 3.303563117980957}","5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(3) + 12.0 * Z(0) + 18.0 * Z(2) + 19.5 * Z(1) + 6.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(6) + 1.0 * Z(7) + 7.5 * Z(8)",1,9,2,"{\"smallest_eigenvalues\": [-79.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -69.0, \"smallest_bitstrings\": [\"100001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(0.263) q[0];\ncx q[3], q[0];\ncx q[3], q[2];\nrz(0.263) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.263) q[2];\ncx q[0], q[2];\ncx q[3], q[1];\nrz(0.263) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.263) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(0.263) q[1];\ncx q[2], q[1];\ncx q[0], q[4];\nrz(0.263) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(0.263) q[5];\ncx q[1], q[5];\ncx q[4], q[6];\nrz(0.263) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(0.263) q[7];\ncx q[2], q[7];\ncx q[3], q[8];\nrz(0.263) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.263) q[8];\ncx q[7], q[8];\nrz(1.0257) q[3];\nrz(0.6312) q[0];\nrz(0.9468) q[2];\nrz(1.0257) q[1];\nrz(0.3419) q[4];\nrz(0) q[5];\nrz(-0.0526) q[6];\nrz(0.0526) q[7];\nrz(0.3945) q[8];\nh q[0];\nrz(-0.155) q[0];\nh q[0];\nh q[1];\nrz(-0.155) q[1];\nh q[1];\nh q[2];\nrz(-0.155) q[2];\nh q[2];\nh q[3];\nrz(-0.155) q[3];\nh q[3];\nh q[4];\nrz(-0.155) q[4];\nh q[4];\nh q[5];\nrz(-0.155) q[5];\nh q[5];\nh q[6];\nrz(-0.155) q[6];\nh q[6];\nh q[7];\nrz(-0.155) q[7];\nh q[7];\nh q[8];\nrz(-0.155) q[8];\nh q[8];\ncx q[3], q[0];\nrz(0.031) q[0];\ncx q[3], q[0];\ncx q[3], q[2];\nrz(0.031) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(0.031) q[2];\ncx q[0], q[2];\ncx q[3], q[1];\nrz(0.031) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(0.031) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(0.031) q[1];\ncx q[2], q[1];\ncx q[0], q[4];\nrz(0.031) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(0.031) q[5];\ncx q[1], q[5];\ncx q[4], q[6];\nrz(0.031) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(0.031) q[7];\ncx q[2], q[7];\ncx q[3], q[8];\nrz(0.031) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(0.031) q[8];\ncx q[7], q[8];\nrz(0.1209) q[3];\nrz(0.0744) q[0];\nrz(0.1116) q[2];\nrz(0.1209) q[1];\nrz(0.0403) q[4];\nrz(0) q[5];\nrz(-0.0062) q[6];\nrz(0.0062) q[7];\nrz(0.0465) q[8];\nh q[0];\nrz(-0.1418) q[0];\nh q[0];\nh q[1];\nrz(-0.1418) q[1];\nh q[1];\nh q[2];\nrz(-0.1418) q[2];\nh q[2];\nh q[3];\nrz(-0.1418) q[3];\nh q[3];\nh q[4];\nrz(-0.1418) q[4];\nh q[4];\nh q[5];\nrz(-0.1418) q[5];\nh q[5];\nh q[6];\nrz(-0.1418) q[6];\nh q[6];\nh q[7];\nrz(-0.1418) q[7];\nh q[7];\nh q[8];\nrz(-0.1418) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x0) q[8];\ncx q[7], q[8];\nrz(x1) q[3];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x1) q[1];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x7) q[7];\nrz(x8) q[8];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\ncx q[3], q[0];\nrz(x10) q[0];\ncx q[3], q[0];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[3], q[1];\nrz(x10) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x10) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x10) q[1];\ncx q[2], q[1];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[3], q[8];\nrz(x10) q[8];\ncx q[3], q[8];\ncx q[7], q[8];\nrz(x10) q[8];\ncx q[7], q[8];\nrz(x11) q[3];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x11) q[1];\nrz(x14) q[4];\nrz(x5) q[5];\nrz(x15) q[6];\nrz(x16) q[7];\nrz(x17) q[8];\nh q[0];\nrz(x18) q[0];\nh q[0];\nh q[1];\nrz(x18) q[1];\nh q[1];\nh q[2];\nrz(x18) q[2];\nh q[2];\nh q[3];\nrz(x18) q[3];\nh q[3];\nh q[4];\nrz(x18) q[4];\nh q[4];\nh q[5];\nrz(x18) q[5];\nh q[5];\nh q[6];\nrz(x18) q[6];\nh q[6];\nh q[7];\nrz(x18) q[7];\nh q[7];\nh q[8];\nrz(x18) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 9}\"}","{\"circuits\": [], \"gradients\": []}"]
["fa12f3a697c97a90a7d75ad197dde7b9","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [10, 42], \"expectation_value\": -2.3110914501266087, \"params\": [0.3991, 0.003, 0.0024000000000000002, 0.30310000000000004, 0.401, 0.0041, 0.0063, 0.2235, 0.40890000000000004, 0.007200000000000001, 0.0049, 0.2343, 0.3986, 0.003, 0.002, 0.2962, 0.39930000000000004, 0.0054, -0.0016, 0.3047, 0.40080000000000005, 0.0039000000000000003, -0.0011, 0.31020000000000003, 0.4002, 0.0029000000000000002, 0.0044, 0.3118, 0.4061, 0.0057, 0.0, 0.2437, 0.40230000000000005, 0.0051, 0.0033, 0.30960000000000004, 0.4047, 0.0028, 0.0016, 0.0018000000000000002, 0.4067, 0.0006000000000000001, 0.0056, 0.0078000000000000005, 0.4071, 0.0026000000000000003, 0.0031000000000000003, 0.0059, -0.2927, -0.0, -0.2109, 0.0064, -0.22940000000000002, -0.28300000000000003, 0.0025, -0.2706, 0.0002, -0.2952, -0.2874, 0.0032, -0.2296, 0.0024000000000000002, -0.2913, 0.0054, 0.0068000000000000005, 0.0028, 0.0013000000000000002, 0.0039000000000000003], \"bitstrings\": [\"110101\", \"010101\"], \"total_optimization_steps\": 40, \"probabilities\": [0.13223462140922312, 0.14091096046158214], \"optimization_time\": 25.715266704559326}","0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.75 * Z(3) + 0.0 * Z(4) + -0.75 * Z(5)",3,6,4,"{\"smallest_eigenvalues\": [-3.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"010101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nrx(0.3991) q[0];\nrz(0.003) q[0];\nrx(0.0024) q[1];\nrz(0.3031) q[1];\nrx(0.401) q[2];\nrz(0.0041) q[2];\nrx(0.0063) q[3];\nrz(0.2235) q[3];\nrx(0.4089) q[4];\nrz(0.0072) q[4];\nrx(0.0049) q[5];\nrz(0.2343) q[5];\ncrz(-0.2294) q[5], q[4];\ncrz(0.0064) q[4], q[3];\ncrz(-0.2109) q[3], q[2];\ncrz(0) q[2], q[1];\ncrz(-0.2927) q[1], q[0];\nrx(0.3986) q[0];\nrz(0.003) q[0];\nrx(0.002) q[1];\nrz(0.2962) q[1];\nrx(0.3993) q[2];\nrz(0.0054) q[2];\nrx(-0.0016) q[3];\nrz(0.3047) q[3];\nrx(0.4008) q[4];\nrz(0.0039) q[4];\nrx(-0.0011) q[5];\nrz(0.3102) q[5];\ncrz(-0.2952) q[5], q[4];\ncrz(0.0002) q[4], q[3];\ncrz(-0.2706) q[3], q[2];\ncrz(0.0025) q[2], q[1];\ncrz(-0.283) q[1], q[0];\nrx(0.4002) q[0];\nrz(0.0029) q[0];\nrx(0.0044) q[1];\nrz(0.3118) q[1];\nrx(0.4061) q[2];\nrz(0.0057) q[2];\nrx(0) q[3];\nrz(0.2437) q[3];\nrx(0.4023) q[4];\nrz(0.0051) q[4];\nrx(0.0033) q[5];\nrz(0.3096) q[5];\ncrz(-0.2913) q[5], q[4];\ncrz(0.0024) q[4], q[3];\ncrz(-0.2296) q[3], q[2];\ncrz(0.0032) q[2], q[1];\ncrz(-0.2874) q[1], q[0];\nrx(0.4047) q[0];\nrz(0.0028) q[0];\nrx(0.0016) q[1];\nrz(0.0018) q[1];\nrx(0.4067) q[2];\nrz(0.0006) q[2];\nrx(0.0056) q[3];\nrz(0.0078) q[3];\nrx(0.4071) q[4];\nrz(0.0026) q[4];\nrx(0.0031) q[5];\nrz(0.0059) q[5];\ncrz(0.0039) q[5], q[4];\ncrz(0.0013) q[4], q[3];\ncrz(0.0028) q[3], q[2];\ncrz(0.0068) q[2], q[1];\ncrz(0.0054) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\ncrz(x12) q[5], q[4];\ncrz(x13) q[4], q[3];\ncrz(x14) q[3], q[2];\ncrz(x15) q[2], q[1];\ncrz(x16) q[1], q[0];\nrx(x17) q[0];\nrz(x1) q[0];\nrx(x18) q[1];\nrz(x19) q[1];\nrx(x20) q[2];\nrz(x21) q[2];\nrx(x22) q[3];\nrz(x23) q[3];\nrx(x24) q[4];\nrz(x25) q[4];\nrx(x26) q[5];\nrz(x27) q[5];\ncrz(x28) q[5], q[4];\ncrz(x29) q[4], q[3];\ncrz(x30) q[3], q[2];\ncrz(x31) q[2], q[1];\ncrz(x32) q[1], q[0];\nrx(x33) q[0];\nrz(x34) q[0];\nrx(x35) q[1];\nrz(x36) q[1];\nrx(x37) q[2];\nrz(x38) q[2];\nrx(x15) q[3];\nrz(x39) q[3];\nrx(x40) q[4];\nrz(x41) q[4];\nrx(x42) q[5];\nrz(x43) q[5];\ncrz(x44) q[5], q[4];\ncrz(x2) q[4], q[3];\ncrz(x45) q[3], q[2];\ncrz(x46) q[2], q[1];\ncrz(x47) q[1], q[0];\nrx(x48) q[0];\nrz(x49) q[0];\nrx(x50) q[1];\nrz(x51) q[1];\nrx(x52) q[2];\nrz(x53) q[2];\nrx(x54) q[3];\nrz(x55) q[3];\nrx(x56) q[4];\nrz(x57) q[4];\nrx(x58) q[5];\nrz(x59) q[5];\ncrz(x25) q[5], q[4];\ncrz(x60) q[4], q[3];\ncrz(x49) q[3], q[2];\ncrz(x61) q[2], q[1];\ncrz(x21) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["47a87bdf07cc47063498596ffad620cd","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 5, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 5, \"source\": 3, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 5}, {\"capacity\": 4, \"source\": 5, \"target\": 3}]}","{\"states\": [15, 1], \"expectation_value\": -1.0892470124468068, \"params\": [[0.07050000000000001], [-0.0675]], \"bitstrings\": [\"1110000\", \"1111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.010950359235032125, 0.011891692539043647], \"optimization_time\": 1.5605223178863525}","-1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5)",1,7,1,"{\"smallest_eigenvalues\": [-15.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.75, \"smallest_bitstrings\": [\"1111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.1763) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1763) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.1058) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0705) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(0.4935) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.1058) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(-0.1763) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.3525) q[5];\ncx q[3], q[5];\nrz(-0.1763) q[1];\nrz(-0.0353) q[0];\nrz(-0.141) q[2];\nrz(0.2115) q[3];\nrz(0.3878) q[6];\nrz(-0.1763) q[4];\nrz(-0.0705) q[5];\nh q[0];\nrz(-0.135) q[0];\nh q[0];\nh q[1];\nrz(-0.135) q[1];\nh q[1];\nh q[2];\nrz(-0.135) q[2];\nh q[2];\nh q[3];\nrz(-0.135) q[3];\nh q[3];\nh q[4];\nrz(-0.135) q[4];\nh q[4];\nh q[5];\nrz(-0.135) q[5];\nh q[5];\nh q[6];\nrz(-0.135) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\nrz(x0) q[1];\nrz(x5) q[0];\nrz(x6) q[2];\nrz(x7) q[3];\nrz(x8) q[6];\nrz(x0) q[4];\nrz(x2) q[5];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["a8af5a844c6b7264f669c1b8b9005a26","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 6, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 6, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 6, \"source\": 5, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 4}, {\"capacity\": 6, \"source\": 7, \"target\": 2}, {\"capacity\": 3, \"source\": 7, \"target\": 8}]}","{\"states\": [251, 255], \"expectation_value\": -2.329265396803596, \"params\": [[0.0695, 0.077], [-0.0683, -0.0671]], \"bitstrings\": [\"100000100\", \"100000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0041424068215224425, 0.004230172545315301], \"optimization_time\": 3.281989812850952}","0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.5 * Z(6) + 2.5 * Z(5) + 2.25 * Z(7)",1,9,2,"{\"smallest_eigenvalues\": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -8.75, \"smallest_bitstrings\": [\"100000100\", \"100000000\", \"110011100\", \"110000100\", \"110000000\", \"110010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[8], q[0];\nrz(0.0348) q[0];\ncx q[8], q[0];\ncx q[8], q[2];\nrz(-0.2085) q[2];\ncx q[8], q[2];\ncx q[2], q[3];\nrz(-0.0695) q[3];\ncx q[2], q[3];\ncx q[3], q[1];\nrz(-0.0348) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(-0.2085) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(-0.0695) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(-0.2085) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.139) q[5];\ncx q[4], q[5];\ncx q[8], q[7];\nrz(-0.1043) q[7];\ncx q[8], q[7];\ncx q[2], q[7];\nrz(-0.2085) q[7];\ncx q[2], q[7];\nrz(-0.278) q[8];\nrz(-0.0348) q[0];\nrz(-0.0695) q[2];\nrz(0.1043) q[3];\nrz(-0.4518) q[1];\nrz(0.139) q[4];\nrz(-0.0695) q[6];\nrz(0.3475) q[5];\nrz(0.3128) q[7];\nh q[0];\nrz(-0.1366) q[0];\nh q[0];\nh q[1];\nrz(-0.1366) q[1];\nh q[1];\nh q[2];\nrz(-0.1366) q[2];\nh q[2];\nh q[3];\nrz(-0.1366) q[3];\nh q[3];\nh q[4];\nrz(-0.1366) q[4];\nh q[4];\nh q[5];\nrz(-0.1366) q[5];\nh q[5];\nh q[6];\nrz(-0.1366) q[6];\nh q[6];\nh q[7];\nrz(-0.1366) q[7];\nh q[7];\nh q[8];\nrz(-0.1366) q[8];\nh q[8];\ncx q[8], q[0];\nrz(0.0385) q[0];\ncx q[8], q[0];\ncx q[8], q[2];\nrz(-0.231) q[2];\ncx q[8], q[2];\ncx q[2], q[3];\nrz(-0.077) q[3];\ncx q[2], q[3];\ncx q[3], q[1];\nrz(-0.0385) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(-0.231) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(-0.077) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(-0.231) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(-0.154) q[5];\ncx q[4], q[5];\ncx q[8], q[7];\nrz(-0.1155) q[7];\ncx q[8], q[7];\ncx q[2], q[7];\nrz(-0.231) q[7];\ncx q[2], q[7];\nrz(-0.308) q[8];\nrz(-0.0385) q[0];\nrz(-0.077) q[2];\nrz(0.1155) q[3];\nrz(-0.5005) q[1];\nrz(0.154) q[4];\nrz(-0.077) q[6];\nrz(0.385) q[5];\nrz(0.3465) q[7];\nh q[0];\nrz(-0.1342) q[0];\nh q[0];\nh q[1];\nrz(-0.1342) q[1];\nh q[1];\nh q[2];\nrz(-0.1342) q[2];\nh q[2];\nh q[3];\nrz(-0.1342) q[3];\nh q[3];\nh q[4];\nrz(-0.1342) q[4];\nh q[4];\nh q[5];\nrz(-0.1342) q[5];\nh q[5];\nh q[6];\nrz(-0.1342) q[6];\nh q[6];\nh q[7];\nrz(-0.1342) q[7];\nh q[7];\nh q[8];\nrz(-0.1342) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[8], q[0];\nrz(x0) q[0];\ncx q[8], q[0];\ncx q[8], q[2];\nrz(x1) q[2];\ncx q[8], q[2];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[3], q[1];\nrz(x3) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[8], q[7];\nrz(x5) q[7];\ncx q[8], q[7];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\nrz(x6) q[8];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x7) q[3];\nrz(x8) q[1];\nrz(x9) q[4];\nrz(x2) q[6];\nrz(x10) q[5];\nrz(x11) q[7];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\nh q[8];\nrz(x12) q[8];\nh q[8];\ncx q[8], q[0];\nrz(x13) q[0];\ncx q[8], q[0];\ncx q[8], q[2];\nrz(x14) q[2];\ncx q[8], q[2];\ncx q[2], q[3];\nrz(x15) q[3];\ncx q[2], q[3];\ncx q[3], q[1];\nrz(x16) q[1];\ncx q[3], q[1];\ncx q[1], q[4];\nrz(x14) q[4];\ncx q[1], q[4];\ncx q[4], q[6];\nrz(x15) q[6];\ncx q[4], q[6];\ncx q[1], q[5];\nrz(x14) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x17) q[5];\ncx q[4], q[5];\ncx q[8], q[7];\nrz(x18) q[7];\ncx q[8], q[7];\ncx q[2], q[7];\nrz(x14) q[7];\ncx q[2], q[7];\nrz(x19) q[8];\nrz(x16) q[0];\nrz(x15) q[2];\nrz(x20) q[3];\nrz(x21) q[1];\nrz(x22) q[4];\nrz(x15) q[6];\nrz(x23) q[5];\nrz(x24) q[7];\nh q[0];\nrz(x25) q[0];\nh q[0];\nh q[1];\nrz(x25) q[1];\nh q[1];\nh q[2];\nrz(x25) q[2];\nh q[2];\nh q[3];\nrz(x25) q[3];\nh q[3];\nh q[4];\nrz(x25) q[4];\nh q[4];\nh q[5];\nrz(x25) q[5];\nh q[5];\nh q[6];\nrz(x25) q[6];\nh q[6];\nh q[7];\nrz(x25) q[7];\nh q[7];\nh q[8];\nrz(x25) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["2398b0b8852b758caa629303970b584b","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [12, 49], \"expectation_value\": -1.3463476627082684, \"params\": [[0.07390000000000001, 0.06620000000000001, 0.0714], [-0.0859, -0.0733, -0.0664]], \"bitstrings\": [\"110011\", \"001110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.030907260024325173, 0.03206173634782224], \"optimization_time\": 6.399660110473633}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5)",1,6,3,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.0739) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0739) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.0739) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.0739) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0739) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(0.0739) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0739) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0739) q[1];\ncx q[4], q[1];\ncx q[2], q[5];\nrz(0.0739) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0739) q[5];\ncx q[3], q[5];\nrz(-0.2217) q[2];\nrz(-0.1478) q[0];\nrz(-0.2217) q[3];\nrz(-0.2217) q[4];\nrz(-0.1478) q[1];\nrz(-0.0739) q[5];\nh q[0];\nrz(-0.1718) q[0];\nh q[0];\nh q[1];\nrz(-0.1718) q[1];\nh q[1];\nh q[2];\nrz(-0.1718) q[2];\nh q[2];\nh q[3];\nrz(-0.1718) q[3];\nh q[3];\nh q[4];\nrz(-0.1718) q[4];\nh q[4];\nh q[5];\nrz(-0.1718) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0662) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0662) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.0662) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.0662) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0662) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(0.0662) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0662) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0662) q[1];\ncx q[4], q[1];\ncx q[2], q[5];\nrz(0.0662) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0662) q[5];\ncx q[3], q[5];\nrz(-0.1986) q[2];\nrz(-0.1324) q[0];\nrz(-0.1986) q[3];\nrz(-0.1986) q[4];\nrz(-0.1324) q[1];\nrz(-0.0662) q[5];\nh q[0];\nrz(-0.1466) q[0];\nh q[0];\nh q[1];\nrz(-0.1466) q[1];\nh q[1];\nh q[2];\nrz(-0.1466) q[2];\nh q[2];\nh q[3];\nrz(-0.1466) q[3];\nh q[3];\nh q[4];\nrz(-0.1466) q[4];\nh q[4];\nh q[5];\nrz(-0.1466) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0714) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0714) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.0714) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.0714) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0714) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(0.0714) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(0.0714) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0714) q[1];\ncx q[4], q[1];\ncx q[2], q[5];\nrz(0.0714) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0714) q[5];\ncx q[3], q[5];\nrz(-0.2142) q[2];\nrz(-0.1428) q[0];\nrz(-0.2142) q[3];\nrz(-0.2142) q[4];\nrz(-0.1428) q[1];\nrz(-0.0714) q[5];\nh q[0];\nrz(-0.1328) q[0];\nh q[0];\nh q[1];\nrz(-0.1328) q[1];\nh q[1];\nh q[2];\nrz(-0.1328) q[2];\nh q[2];\nh q[3];\nrz(-0.1328) q[3];\nh q[3];\nh q[4];\nrz(-0.1328) q[4];\nh q[4];\nh q[5];\nrz(-0.1328) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x1) q[3];\nrz(x1) q[4];\nrz(x2) q[1];\nrz(x3) q[5];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x5) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x5) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(x5) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x5) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x5) q[1];\ncx q[4], q[1];\ncx q[2], q[5];\nrz(x5) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x5) q[5];\ncx q[3], q[5];\nrz(x6) q[2];\nrz(x7) q[0];\nrz(x6) q[3];\nrz(x6) q[4];\nrz(x7) q[1];\nrz(x8) q[5];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x10) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(x10) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x10) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x10) q[1];\ncx q[4], q[1];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\nrz(x11) q[2];\nrz(x12) q[0];\nrz(x11) q[3];\nrz(x11) q[4];\nrz(x12) q[1];\nrz(x13) q[5];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nh q[4];\nrz(x14) q[4];\nh q[4];\nh q[5];\nrz(x14) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["295827ef8e8bc1a59c2d5aefad74f913","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 5, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 3, \"source\": 2, \"target\": 8}, {\"capacity\": 5, \"source\": 3, \"target\": 1}, {\"capacity\": 4, \"source\": 3, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 5, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 3, \"source\": 5, \"target\": 4}, {\"capacity\": 5, \"source\": 5, \"target\": 7}, {\"capacity\": 4, \"source\": 5, \"target\": 8}, {\"capacity\": 1, \"source\": 6, \"target\": 2}, {\"capacity\": 5, \"source\": 6, \"target\": 3}, {\"capacity\": 4, \"source\": 6, \"target\": 9}, {\"capacity\": 3, \"source\": 7, \"target\": 1}, {\"capacity\": 1, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 5, \"source\": 7, \"target\": 5}, {\"capacity\": 2, \"source\": 8, \"target\": 1}]}","{\"states\": [1022, 1], \"expectation_value\": -1.743275039022894, \"params\": [[-0.07150000000000001], [0.07100000000000001]], \"bitstrings\": [\"0000000001\", \"1111111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0018433523959349592, 0.001939214555896312], \"optimization_time\": 3.19351863861084}","-1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(5)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -2.25 * (Z(3) @ Z(6)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(3)) + 2.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -4.5 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.25 * Z(4) + 1.75 * Z(5) + 1.0 * Z(6) + -1.25 * Z(8) + 0.25 * Z(3) + 0.5 * Z(7) + 1.5 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-23.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.75, \"smallest_bitstrings\": [\"1111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(0.1788) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1788) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.143) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(0.1788) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0715) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.1073) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0358) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(0.1073) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(0.0715) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0358) q[6];\ncx q[2], q[6];\ncx q[1], q[8];\nrz(0.0715) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(0.1073) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(0.143) q[8];\ncx q[5], q[8];\ncx q[1], q[3];\nrz(0.1788) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(0.1788) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(0.3218) q[3];\ncx q[6], q[3];\ncx q[1], q[7];\nrz(0.1073) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(0.0358) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.3575) q[7];\ncx q[5], q[7];\ncx q[3], q[7];\nrz(0.143) q[7];\ncx q[3], q[7];\ncx q[0], q[9];\nrz(-0.3575) q[9];\ncx q[0], q[9];\ncx q[6], q[9];\nrz(0.143) q[9];\ncx q[6], q[9];\nrz(0.6435) q[1];\nrz(0.0358) q[0];\nrz(-0.1788) q[2];\nrz(0.0358) q[4];\nrz(-0.2503) q[5];\nrz(-0.143) q[6];\nrz(0.1788) q[8];\nrz(-0.0358) q[3];\nrz(-0.0715) q[7];\nrz(-0.2145) q[9];\nh q[0];\nrz(0.142) q[0];\nh q[0];\nh q[1];\nrz(0.142) q[1];\nh q[1];\nh q[2];\nrz(0.142) q[2];\nh q[2];\nh q[3];\nrz(0.142) q[3];\nh q[3];\nh q[4];\nrz(0.142) q[4];\nh q[4];\nh q[5];\nrz(0.142) q[5];\nh q[5];\nh q[6];\nrz(0.142) q[6];\nh q[6];\nh q[7];\nrz(0.142) q[7];\nh q[7];\nh q[8];\nrz(0.142) q[8];\nh q[8];\nh q[9];\nrz(0.142) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x2) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x4) q[5];\ncx q[2], q[5];\ncx q[4], q[5];\nrz(x3) q[5];\ncx q[4], q[5];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x4) q[6];\ncx q[2], q[6];\ncx q[1], q[8];\nrz(x2) q[8];\ncx q[1], q[8];\ncx q[2], q[8];\nrz(x3) q[8];\ncx q[2], q[8];\ncx q[5], q[8];\nrz(x1) q[8];\ncx q[5], q[8];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(x5) q[3];\ncx q[6], q[3];\ncx q[1], q[7];\nrz(x3) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x4) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x6) q[7];\ncx q[5], q[7];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[0], q[9];\nrz(x7) q[9];\ncx q[0], q[9];\ncx q[6], q[9];\nrz(x1) q[9];\ncx q[6], q[9];\nrz(x8) q[1];\nrz(x4) q[0];\nrz(x9) q[2];\nrz(x4) q[4];\nrz(x10) q[5];\nrz(x11) q[6];\nrz(x0) q[8];\nrz(x12) q[3];\nrz(x13) q[7];\nrz(x14) q[9];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\nh q[8];\nrz(x15) q[8];\nh q[8];\nh q[9];\nrz(x15) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["3a47978bfb976fd6248810daacdb4903","max_flow","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 1, \"source\": 4, \"target\": 1}]}","{\"states\": [622, 639], \"expectation_value\": -3.9902353425461685, \"params\": [[0.164, 0.1569, -0.0349], [-0.1718, -0.1665, -0.0906]], \"bitstrings\": [\"0110010001\", \"0110000000\"], \"total_optimization_steps\": 20, \"probabilities\": [0.008908039240282653, 0.008908039240282661], \"optimization_time\": 9.816739797592163}","-0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + -0.16666666666666666 * (Z(1) @ Z(2)) + 1.0 * Z(3) + -2.0 * Z(9) + 1.0 * Z(4) + 2.0 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + 0.8333333333333334 * Z(0) + -0.3333333333333333 * Z(2) + -0.3333333333333333 * Z(1)",1,10,3,"{\"smallest_eigenvalues\": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"0111001101\", \"0111001011\", \"0110101101\", \"0110101011\", \"0110010001\", \"0110000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[9];\nrz(-0.164) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(0.328) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(-0.164) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(0.164) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(-0.328) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(0.164) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(-0.164) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.164) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(-0.164) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(0.164) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(-0.164) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(-0.164) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(-0.164) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(0.328) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(-0.164) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(-0.164) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(0.164) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.164) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(-0.0547) q[1];\ncx q[2], q[1];\nrz(0.328) q[3];\nrz(-0.656) q[9];\nrz(0.328) q[4];\nrz(0.656) q[5];\nrz(0.164) q[7];\nrz(0.164) q[6];\nrz(0.164) q[8];\nrz(0.2733) q[0];\nrz(-0.1093) q[2];\nrz(-0.1093) q[1];\nh q[0];\nrz(-0.3436) q[0];\nh q[0];\nh q[1];\nrz(-0.3436) q[1];\nh q[1];\nh q[2];\nrz(-0.3436) q[2];\nh q[2];\nh q[3];\nrz(-0.3436) q[3];\nh q[3];\nh q[4];\nrz(-0.3436) q[4];\nh q[4];\nh q[5];\nrz(-0.3436) q[5];\nh q[5];\nh q[6];\nrz(-0.3436) q[6];\nh q[6];\nh q[7];\nrz(-0.3436) q[7];\nh q[7];\nh q[8];\nrz(-0.3436) q[8];\nh q[8];\nh q[9];\nrz(-0.3436) q[9];\nh q[9];\ncx q[3], q[9];\nrz(-0.1569) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(0.3138) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(-0.1569) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(0.1569) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(-0.3138) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(0.1569) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(-0.1569) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(-0.1569) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(-0.1569) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(0.1569) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(-0.1569) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(-0.1569) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(-0.1569) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(0.3138) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(-0.1569) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(-0.1569) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(0.1569) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(0.1569) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(-0.0523) q[1];\ncx q[2], q[1];\nrz(0.3138) q[3];\nrz(-0.6276) q[9];\nrz(0.3138) q[4];\nrz(0.6276) q[5];\nrz(0.1569) q[7];\nrz(0.1569) q[6];\nrz(0.1569) q[8];\nrz(0.2615) q[0];\nrz(-0.1046) q[2];\nrz(-0.1046) q[1];\nh q[0];\nrz(-0.333) q[0];\nh q[0];\nh q[1];\nrz(-0.333) q[1];\nh q[1];\nh q[2];\nrz(-0.333) q[2];\nh q[2];\nh q[3];\nrz(-0.333) q[3];\nh q[3];\nh q[4];\nrz(-0.333) q[4];\nh q[4];\nh q[5];\nrz(-0.333) q[5];\nh q[5];\nh q[6];\nrz(-0.333) q[6];\nh q[6];\nh q[7];\nrz(-0.333) q[7];\nh q[7];\nh q[8];\nrz(-0.333) q[8];\nh q[8];\nh q[9];\nrz(-0.333) q[9];\nh q[9];\ncx q[3], q[9];\nrz(0.0349) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(-0.0698) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(0.0349) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(-0.0349) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(0.0698) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(-0.0349) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(0.0349) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.0349) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(0.0349) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(-0.0349) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(0.0349) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(0.0349) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(0.0349) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(-0.0698) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(0.0349) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(0.0349) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(-0.0349) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(-0.0349) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(0.0116) q[1];\ncx q[2], q[1];\nrz(-0.0698) q[3];\nrz(0.1396) q[9];\nrz(-0.0698) q[4];\nrz(-0.1396) q[5];\nrz(-0.0349) q[7];\nrz(-0.0349) q[6];\nrz(-0.0349) q[8];\nrz(-0.0582) q[0];\nrz(0.0233) q[2];\nrz(0.0233) q[1];\nh q[0];\nrz(-0.1812) q[0];\nh q[0];\nh q[1];\nrz(-0.1812) q[1];\nh q[1];\nh q[2];\nrz(-0.1812) q[2];\nh q[2];\nh q[3];\nrz(-0.1812) q[3];\nh q[3];\nh q[4];\nrz(-0.1812) q[4];\nh q[4];\nh q[5];\nrz(-0.1812) q[5];\nh q[5];\nh q[6];\nrz(-0.1812) q[6];\nh q[6];\nh q[7];\nrz(-0.1812) q[7];\nh q[7];\nh q[8];\nrz(-0.1812) q[8];\nh q[8];\nh q[9];\nrz(-0.1812) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[9];\nrz(x0) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(x0) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(x3) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(x0) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(x2) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x1) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x0) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(x0) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x2) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(x4) q[1];\ncx q[2], q[1];\nrz(x1) q[3];\nrz(x5) q[9];\nrz(x1) q[4];\nrz(x6) q[5];\nrz(x2) q[7];\nrz(x2) q[6];\nrz(x2) q[8];\nrz(x7) q[0];\nrz(x8) q[2];\nrz(x8) q[1];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\nh q[8];\nrz(x9) q[8];\nh q[8];\nh q[9];\nrz(x9) q[9];\nh q[9];\ncx q[3], q[9];\nrz(x10) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(x10) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(x12) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(x13) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(x12) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(x10) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(x10) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(x12) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x10) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(x10) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(x10) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x11) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x10) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(x10) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(x12) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x12) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(x14) q[1];\ncx q[2], q[1];\nrz(x11) q[3];\nrz(x15) q[9];\nrz(x11) q[4];\nrz(x16) q[5];\nrz(x12) q[7];\nrz(x12) q[6];\nrz(x12) q[8];\nrz(x17) q[0];\nrz(x18) q[2];\nrz(x18) q[1];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nh q[8];\nrz(x19) q[8];\nh q[8];\nh q[9];\nrz(x19) q[9];\nh q[9];\ncx q[3], q[9];\nrz(x20) q[9];\ncx q[3], q[9];\ncx q[3], q[4];\nrz(x21) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(x20) q[4];\ncx q[9], q[4];\ncx q[3], q[5];\nrz(x22) q[5];\ncx q[3], q[5];\ncx q[9], q[5];\nrz(x23) q[5];\ncx q[9], q[5];\ncx q[4], q[5];\nrz(x22) q[5];\ncx q[4], q[5];\ncx q[3], q[7];\nrz(x20) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x20) q[7];\ncx q[4], q[7];\ncx q[9], q[6];\nrz(x20) q[6];\ncx q[9], q[6];\ncx q[5], q[6];\nrz(x22) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x20) q[6];\ncx q[7], q[6];\ncx q[3], q[8];\nrz(x20) q[8];\ncx q[3], q[8];\ncx q[4], q[8];\nrz(x20) q[8];\ncx q[4], q[8];\ncx q[7], q[8];\nrz(x21) q[8];\ncx q[7], q[8];\ncx q[6], q[8];\nrz(x20) q[8];\ncx q[6], q[8];\ncx q[9], q[0];\nrz(x20) q[0];\ncx q[9], q[0];\ncx q[5], q[0];\nrz(x22) q[0];\ncx q[5], q[0];\ncx q[6], q[0];\nrz(x22) q[0];\ncx q[6], q[0];\ncx q[2], q[1];\nrz(x24) q[1];\ncx q[2], q[1];\nrz(x21) q[3];\nrz(x25) q[9];\nrz(x21) q[4];\nrz(x26) q[5];\nrz(x22) q[7];\nrz(x22) q[6];\nrz(x22) q[8];\nrz(x27) q[0];\nrz(x28) q[2];\nrz(x28) q[1];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nh q[8];\nrz(x29) q[8];\nh q[8];\nh q[9];\nrz(x29) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["a4daa78eacadb4897b1342c199df0ce1","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [21, 104], \"expectation_value\": -0.6117669243963367, \"params\": [[0.0663, 0.0654, 0.051300000000000005, -0.041], [-0.0526, -0.0654, -0.059300000000000005, -0.0228]], \"bitstrings\": [\"1101010\", \"0010111\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01241284973599066, 0.012665966669758373], \"optimization_time\": 11.283385992050171}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6)",1,7,4,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 9, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"1001110\", \"1101001\", \"1101010\", \"0011101\", \"1001101\", \"0010111\", \"0011110\", \"0111001\", \"0111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(0.0663) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(0.0663) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(0.0663) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.0663) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(0.0663) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(0.0663) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0663) q[6];\ncx q[5], q[6];\nrz(-0.0663) q[2];\nrz(0) q[0];\nrz(-0.0663) q[4];\nrz(0) q[1];\nrz(-0.1989) q[3];\nrz(-0.0663) q[5];\nrz(-0.0663) q[6];\nh q[0];\nrz(-0.1052) q[0];\nh q[0];\nh q[1];\nrz(-0.1052) q[1];\nh q[1];\nh q[2];\nrz(-0.1052) q[2];\nh q[2];\nh q[3];\nrz(-0.1052) q[3];\nh q[3];\nh q[4];\nrz(-0.1052) q[4];\nh q[4];\nh q[5];\nrz(-0.1052) q[5];\nh q[5];\nh q[6];\nrz(-0.1052) q[6];\nh q[6];\ncx q[2], q[0];\nrz(0.0654) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(0.0654) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(0.0654) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.0654) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(0.0654) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(0.0654) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0654) q[6];\ncx q[5], q[6];\nrz(-0.0654) q[2];\nrz(0) q[0];\nrz(-0.0654) q[4];\nrz(0) q[1];\nrz(-0.1962) q[3];\nrz(-0.0654) q[5];\nrz(-0.0654) q[6];\nh q[0];\nrz(-0.1308) q[0];\nh q[0];\nh q[1];\nrz(-0.1308) q[1];\nh q[1];\nh q[2];\nrz(-0.1308) q[2];\nh q[2];\nh q[3];\nrz(-0.1308) q[3];\nh q[3];\nh q[4];\nrz(-0.1308) q[4];\nh q[4];\nh q[5];\nrz(-0.1308) q[5];\nh q[5];\nh q[6];\nrz(-0.1308) q[6];\nh q[6];\ncx q[2], q[0];\nrz(0.0513) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(0.0513) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(0.0513) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.0513) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(0.0513) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(0.0513) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0513) q[6];\ncx q[5], q[6];\nrz(-0.0513) q[2];\nrz(0) q[0];\nrz(-0.0513) q[4];\nrz(0) q[1];\nrz(-0.1539) q[3];\nrz(-0.0513) q[5];\nrz(-0.0513) q[6];\nh q[0];\nrz(-0.1186) q[0];\nh q[0];\nh q[1];\nrz(-0.1186) q[1];\nh q[1];\nh q[2];\nrz(-0.1186) q[2];\nh q[2];\nh q[3];\nrz(-0.1186) q[3];\nh q[3];\nh q[4];\nrz(-0.1186) q[4];\nh q[4];\nh q[5];\nrz(-0.1186) q[5];\nh q[5];\nh q[6];\nrz(-0.1186) q[6];\nh q[6];\ncx q[2], q[0];\nrz(-0.041) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(-0.041) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(-0.041) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(-0.041) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(-0.041) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(-0.041) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.041) q[6];\ncx q[5], q[6];\nrz(0.041) q[2];\nrz(0) q[0];\nrz(0.041) q[4];\nrz(0) q[1];\nrz(0.123) q[3];\nrz(0.041) q[5];\nrz(0.041) q[6];\nh q[0];\nrz(-0.0456) q[0];\nh q[0];\nh q[1];\nrz(-0.0456) q[1];\nh q[1];\nh q[2];\nrz(-0.0456) q[2];\nh q[2];\nh q[3];\nrz(-0.0456) q[3];\nh q[3];\nh q[4];\nrz(-0.0456) q[4];\nh q[4];\nh q[5];\nrz(-0.0456) q[5];\nh q[5];\nh q[6];\nrz(-0.0456) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x1) q[4];\nrz(x2) q[1];\nrz(x3) q[3];\nrz(x1) q[5];\nrz(x1) q[6];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\nh q[6];\nrz(x4) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(x5) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x5) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x5) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x5) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x5) q[6];\ncx q[5], q[6];\nrz(x6) q[2];\nrz(x2) q[0];\nrz(x6) q[4];\nrz(x2) q[1];\nrz(x7) q[3];\nrz(x6) q[5];\nrz(x6) q[6];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(x9) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x9) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x9) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x9) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x9) q[6];\ncx q[5], q[6];\nrz(x10) q[2];\nrz(x2) q[0];\nrz(x10) q[4];\nrz(x2) q[1];\nrz(x11) q[3];\nrz(x10) q[5];\nrz(x10) q[6];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\ncx q[2], q[0];\nrz(x13) q[0];\ncx q[2], q[0];\ncx q[4], q[1];\nrz(x13) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x13) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x13) q[3];\ncx q[4], q[3];\ncx q[3], q[5];\nrz(x13) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x13) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x13) q[6];\ncx q[5], q[6];\nrz(x14) q[2];\nrz(x2) q[0];\nrz(x14) q[4];\nrz(x2) q[1];\nrz(x15) q[3];\nrz(x14) q[5];\nrz(x14) q[6];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nh q[6];\nrz(x16) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["921479f58efe64e2060ecee8a590e959","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 8}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 8}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 8}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 8}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 7}, {\"capacity\": 2, \"source\": 6, \"target\": 8}, {\"capacity\": 1, \"source\": 7, \"target\": 2}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 8}]}","{\"states\": [0, 255], \"expectation_value\": -9.367354338738028, \"params\": [[[0.0009000000000000001, 0.647], [-0.0026000000000000003, 0.0004], [-0.0027, -0.0026000000000000003], [-0.0023, -0.0029000000000000002], [-0.0029000000000000002, -0.0031000000000000003], [-0.0031000000000000003, -0.0028], [-0.0031000000000000003, -0.0025], [-0.0021000000000000003, 0.0143], [-1.7627000000000002, 0.0004]], [[0.47640000000000005, 1.5944], [-0.0027, -0.4383], [-0.003, -0.0032], [-0.0025, -0.0026000000000000003], [-0.0035, 0.0023], [-0.0032, 0.0029000000000000002], [-0.0031000000000000003, -0.0026000000000000003], [-0.517, 0.0038], [0.0014, -0.0028]]], \"bitstrings\": [\"111111111\", \"100000000\"], \"total_optimization_steps\": 210, \"probabilities\": [0.2764366766296252, 0.3695898888322844], \"optimization_time\": 23.063619375228882}","0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -2.25 * Z(8) + -0.25 * Z(0) + 0.25 * Z(1) + 1.25 * Z(6) + -1.25 * Z(7) + 0.25 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 3.0 * Z(5)",15,9,2,"{\"smallest_eigenvalues\": [-10.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.0, \"smallest_bitstrings\": [\"100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.0009) q[0];\nry(-0.0026) q[1];\nry(-0.0027) q[2];\nry(-0.0023) q[3];\nry(-0.0029) q[4];\nry(-0.0031) q[5];\nry(-0.0031) q[6];\nry(-0.0021) q[7];\nry(-1.7627) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.647) q[0];\nry(0.0004) q[1];\nry(-0.0026) q[2];\nry(-0.0029) q[3];\nry(-0.0031) q[4];\nry(-0.0028) q[5];\nry(-0.0025) q[6];\nry(0.0143) q[7];\nry(0.0004) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.4764) q[0];\nry(-0.0027) q[1];\nry(-0.003) q[2];\nry(-0.0025) q[3];\nry(-0.0035) q[4];\nry(-0.0032) q[5];\nry(-0.0031) q[6];\nry(-0.517) q[7];\nry(0.0014) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.5944) q[0];\nry(-0.4383) q[1];\nry(-0.0032) q[2];\nry(-0.0026) q[3];\nry(0.0023) q[4];\nry(0.0029) q[5];\nry(-0.0026) q[6];\nry(0.0038) q[7];\nry(-0.0028) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x5) q[6];\nry(x6) q[7];\nry(x7) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x8) q[0];\nry(x9) q[1];\nry(x1) q[2];\nry(x4) q[3];\nry(x5) q[4];\nry(x10) q[5];\nry(x11) q[6];\nry(x12) q[7];\nry(x9) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x13) q[0];\nry(x2) q[1];\nry(x14) q[2];\nry(x11) q[3];\nry(x15) q[4];\nry(x16) q[5];\nry(x5) q[6];\nry(x17) q[7];\nry(x18) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x19) q[0];\nry(x20) q[1];\nry(x16) q[2];\nry(x1) q[3];\nry(x21) q[4];\nry(x22) q[5];\nry(x1) q[6];\nry(x23) q[7];\nry(x10) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["b6e0c3c301837e1bade2ecec75b88187","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 0, \"id\": 7}, {\"bipartite\": 0, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 9}, {\"weight\": 8, \"source\": 1, \"target\": 10}, {\"weight\": 19, \"source\": 1, \"target\": 11}, {\"weight\": 8, \"source\": 2, \"target\": 11}, {\"weight\": 2, \"source\": 3, \"target\": 12}, {\"weight\": 15, \"source\": 4, \"target\": 10}, {\"weight\": 17, \"source\": 6, \"target\": 9}, {\"weight\": 11, \"source\": 7, \"target\": 10}, {\"weight\": 16, \"source\": 8, \"target\": 10}]}","{\"states\": [77, 79], \"expectation_value\": -45.856230564970645, \"params\": [[[0.8959, 0.4893], [0.2906, 0.40490000000000004], [0.9006000000000001, 0.903], [0.0049, 0.8942], [-0.519, 0.6861], [0.34740000000000004, 0.8954000000000001], [0.0935, 0.9016000000000001], [0.16290000000000002, 0.8882], [-0.8580000000000001, 0.8749]], [[0.8945000000000001, -0.0763], [0.8972, 0.2702], [0.8984000000000001, 0.2655], [-0.3627, 0.31880000000000003], [-0.749, 0.6759000000000001], [0.7987000000000001, 0.8899], [0.9059, -0.15280000000000002], [0.7289, 0.9001], [0.5372, 0.8971]]], \"bitstrings\": [\"110110010\", \"110110000\"], \"total_optimization_steps\": 90, \"probabilities\": [0.12213832452715777, 0.15501858051836784], \"optimization_time\": 24.409850597381592}","7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(0) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 18.0 * Z(1) + 9.5 * Z(2) + -3.0 * Z(3) + 14.5 * Z(5) + 1.5 * Z(6) + -6.5 * Z(0) + 12.5 * Z(7) + 15.0 * Z(8) + -13.0 * Z(4)",15,9,2,"{\"smallest_eigenvalues\": [-78.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -75.5, \"smallest_bitstrings\": [\"110110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.8959) q[0];\nry(0.2906) q[1];\nry(0.9006) q[2];\nry(0.0049) q[3];\nry(-0.519) q[4];\nry(0.3474) q[5];\nry(0.0935) q[6];\nry(0.1629) q[7];\nry(-0.858) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.4893) q[0];\nry(0.4049) q[1];\nry(0.903) q[2];\nry(0.8942) q[3];\nry(0.6861) q[4];\nry(0.8954) q[5];\nry(0.9016) q[6];\nry(0.8882) q[7];\nry(0.8749) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.8945) q[0];\nry(0.8972) q[1];\nry(0.8984) q[2];\nry(-0.3627) q[3];\nry(-0.749) q[4];\nry(0.7987) q[5];\nry(0.9059) q[6];\nry(0.7289) q[7];\nry(0.5372) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0763) q[0];\nry(0.2702) q[1];\nry(0.2655) q[2];\nry(0.3188) q[3];\nry(0.6759) q[4];\nry(0.8899) q[5];\nry(-0.1528) q[6];\nry(0.9001) q[7];\nry(0.8971) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x27) q[0];\nry(x28) q[1];\nry(x29) q[2];\nry(x30) q[3];\nry(x31) q[4];\nry(x32) q[5];\nry(x33) q[6];\nry(x34) q[7];\nry(x35) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \\\"right_nodes\\\": [9, 10, 11, 12]}\"}","{\"circuits\": [], \"gradients\": []}"]
["0f435eed505f807fb8dc44643dfd43ce","edge_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [89, 101], \"expectation_value\": -0.2553654746778421, \"params\": [[-0.0251, -0.0627, -0.06280000000000001, -0.0641], [-0.0316, 0.0562, 0.0626, 0.0674]], \"bitstrings\": [\"0100110\", \"0011010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.011911077631613963, 0.011911077631613965], \"optimization_time\": 11.257227659225464}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(1) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(1) @ Z(3) @ Z(6)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(2) @ Z(6) @ Z(4)) + 0.0 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + 0.125 * Z(3) + 0.0 * Z(4) + -0.625 * Z(5) + 0.125 * Z(6)",1,7,4,"{\"smallest_eigenvalues\": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -1.375, \"smallest_bitstrings\": [\"1010010\", \"0100110\", \"0011010\", \"1000011\", \"0010110\", \"1000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.0126) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(-0.0126) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0126) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0126) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(-0.0126) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(-0.0126) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(-0.0126) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0126) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.0063) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.0063) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(-0.0063) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(-0.0063) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(-0.0063) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(-0.0063) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(0.0063) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(0.0063) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(0.0063) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(0.0063) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.0063) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[4], q[2];\nrz(-0.0126) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(-0.0126) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(-0.0126) q[6];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\nrz(0.0126) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(0) q[0];\nrz(-0.0063) q[1];\nrz(0) q[2];\nrz(-0.0063) q[3];\nrz(0) q[4];\nrz(0.0314) q[5];\nrz(-0.0063) q[6];\nh q[0];\nrz(-0.0632) q[0];\nh q[0];\nh q[1];\nrz(-0.0632) q[1];\nh q[1];\nh q[2];\nrz(-0.0632) q[2];\nh q[2];\nh q[3];\nrz(-0.0632) q[3];\nh q[3];\nh q[4];\nrz(-0.0632) q[4];\nh q[4];\nh q[5];\nrz(-0.0632) q[5];\nh q[5];\nh q[6];\nrz(-0.0632) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0314) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(-0.0314) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0314) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0314) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(-0.0314) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(-0.0314) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(-0.0314) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0314) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.0157) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.0157) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(-0.0157) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(-0.0157) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(-0.0157) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(-0.0157) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(0.0157) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(0.0157) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(0.0157) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(0.0157) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.0157) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[4], q[2];\nrz(-0.0314) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(-0.0314) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(-0.0314) q[6];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\nrz(0.0314) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(0) q[0];\nrz(-0.0157) q[1];\nrz(0) q[2];\nrz(-0.0157) q[3];\nrz(0) q[4];\nrz(0.0784) q[5];\nrz(-0.0157) q[6];\nh q[0];\nrz(0.1124) q[0];\nh q[0];\nh q[1];\nrz(0.1124) q[1];\nh q[1];\nh q[2];\nrz(0.1124) q[2];\nh q[2];\nh q[3];\nrz(0.1124) q[3];\nh q[3];\nh q[4];\nrz(0.1124) q[4];\nh q[4];\nh q[5];\nrz(0.1124) q[5];\nh q[5];\nh q[6];\nrz(0.1124) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0314) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(-0.0314) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0314) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0314) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(-0.0314) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(-0.0314) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(-0.0314) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0314) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.0157) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.0157) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(-0.0157) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(-0.0157) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(-0.0157) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(-0.0157) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(0.0157) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(0.0157) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(0.0157) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(0.0157) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.0157) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[4], q[2];\nrz(-0.0314) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(-0.0314) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(-0.0314) q[6];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\nrz(0.0314) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(0) q[0];\nrz(-0.0157) q[1];\nrz(0) q[2];\nrz(-0.0157) q[3];\nrz(0) q[4];\nrz(0.0785) q[5];\nrz(-0.0157) q[6];\nh q[0];\nrz(0.1252) q[0];\nh q[0];\nh q[1];\nrz(0.1252) q[1];\nh q[1];\nh q[2];\nrz(0.1252) q[2];\nh q[2];\nh q[3];\nrz(0.1252) q[3];\nh q[3];\nh q[4];\nrz(0.1252) q[4];\nh q[4];\nh q[5];\nrz(0.1252) q[5];\nh q[5];\nh q[6];\nrz(0.1252) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.0321) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(-0.0321) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.0321) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(0.0321) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(-0.0321) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(-0.0321) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(-0.0321) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(0.0321) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(-0.016) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.016) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(-0.016) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(-0.016) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(-0.016) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(-0.016) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(0.016) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(0.016) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(0.016) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(0.016) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(-0.016) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[4], q[2];\nrz(-0.0321) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(-0.0321) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(-0.0321) q[6];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\nrz(0.0321) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(0) q[0];\nrz(-0.016) q[1];\nrz(0) q[2];\nrz(-0.016) q[3];\nrz(0) q[4];\nrz(0.0801) q[5];\nrz(-0.016) q[6];\nh q[0];\nrz(0.1348) q[0];\nh q[0];\nh q[1];\nrz(0.1348) q[1];\nh q[1];\nh q[2];\nrz(0.1348) q[2];\nh q[2];\nh q[3];\nrz(0.1348) q[3];\nh q[3];\nh q[4];\nrz(0.1348) q[4];\nh q[4];\nh q[5];\nrz(0.1348) q[5];\nh q[5];\nh q[6];\nrz(0.1348) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x1) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x1) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x2) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(x2) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(x3) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(x3) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[4], q[2];\nrz(x0) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(x4) q[0];\nrz(x2) q[1];\nrz(x4) q[2];\nrz(x2) q[3];\nrz(x4) q[4];\nrz(x5) q[5];\nrz(x2) q[6];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x7) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x7) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x7) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x7) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(x7) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x5) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x8) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(x8) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(x8) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(x8) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(x8) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(x9) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[4], q[2];\nrz(x7) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x7) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(x7) q[6];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\nrz(x5) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(x4) q[0];\nrz(x8) q[1];\nrz(x4) q[2];\nrz(x8) q[3];\nrz(x4) q[4];\nrz(x10) q[5];\nrz(x8) q[6];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\nh q[6];\nrz(x11) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x7) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x7) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x7) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x5) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x7) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x7) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(x7) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x5) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x8) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(x8) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(x8) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(x8) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(x8) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(x9) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[4], q[2];\nrz(x7) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x7) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(x7) q[6];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\nrz(x5) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(x4) q[0];\nrz(x8) q[1];\nrz(x4) q[2];\nrz(x8) q[3];\nrz(x4) q[4];\nrz(x12) q[5];\nrz(x8) q[6];\nh q[0];\nrz(x13) q[0];\nh q[0];\nh q[1];\nrz(x13) q[1];\nh q[1];\nh q[2];\nrz(x13) q[2];\nh q[2];\nh q[3];\nrz(x13) q[3];\nh q[3];\nh q[4];\nrz(x13) q[4];\nh q[4];\nh q[5];\nrz(x13) q[5];\nh q[5];\nh q[6];\nrz(x13) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x14) q[0];\ncx q[1], q[0];\ncx q[2], q[0];\nrz(x14) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x14) q[1];\ncx q[2], q[1];\ncx q[2], q[1];\ncx q[1], q[0];\nrz(x15) q[0];\ncx q[1], q[0];\ncx q[2], q[1];\ncx q[3], q[0];\nrz(x14) q[0];\ncx q[3], q[0];\ncx q[4], q[0];\nrz(x14) q[0];\ncx q[4], q[0];\ncx q[4], q[3];\nrz(x14) q[3];\ncx q[4], q[3];\ncx q[4], q[3];\ncx q[3], q[0];\nrz(x15) q[0];\ncx q[3], q[0];\ncx q[4], q[3];\ncx q[3], q[1];\nrz(x16) q[1];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\nrz(x16) q[1];\ncx q[6], q[1];\ncx q[3], q[5];\nrz(x16) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\nrz(x16) q[3];\ncx q[6], q[3];\ncx q[6], q[5];\nrz(x16) q[5];\ncx q[6], q[5];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x17) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[3], q[1];\nrz(x17) q[1];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[6], q[1];\ncx q[1], q[5];\nrz(x17) q[5];\ncx q[1], q[5];\ncx q[6], q[1];\ncx q[6], q[3];\ncx q[3], q[5];\nrz(x17) q[5];\ncx q[3], q[5];\ncx q[6], q[3];\ncx q[6], q[3];\ncx q[3], q[1];\ncx q[1], q[5];\nrz(x16) q[5];\ncx q[1], q[5];\ncx q[3], q[1];\ncx q[6], q[3];\ncx q[4], q[2];\nrz(x14) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x14) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(x14) q[6];\ncx q[4], q[6];\ncx q[4], q[6];\ncx q[6], q[2];\nrz(x15) q[2];\ncx q[6], q[2];\ncx q[4], q[6];\nrz(x4) q[0];\nrz(x16) q[1];\nrz(x4) q[2];\nrz(x16) q[3];\nrz(x4) q[4];\nrz(x18) q[5];\nrz(x16) q[6];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["-3483292901488262061","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[2, 3, 4], [0, 2, 4], [1, 3], [1, 5]]}","{\"states\": [50, 39], \"expectation_value\": -1.4777053795599935, \"params\": null, \"bitstrings\": [\"001101\", \"011000\"], \"total_optimization_steps\": 36, \"probabilities\": [0.042431735019474205, 0.8187730203663679], \"optimization_time\": 29.611541986465454}","0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.3333333333333333 * Z(2) + 0.3333333333333333 * Z(4) + 0.16666666666666666 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-1.6666666666666667, -1.6666666666666667], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.6666666666666663, \"smallest_bitstrings\": [\"011000\", \"010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.2292) q[4];\ncry(-1.0342) q[5], q[1];\nry(0.7003) q[5];\ncry(-0.7092) q[3], q[1];\ncry(1.164) q[5], q[3];\ncry(0.4381) q[3], q[5];\nry(-0.3209) q[1];\ncry(-0.6125) q[0], q[2];\nry(0.2899) q[3];\ncry(-0.4272) q[3], q[2];\nry(0.5011) q[0];\ncry(-0.3957) q[4], q[2];\ncry(0.4558) q[3], q[0];\ncry(0.2476) q[0], q[4];\ncry(-0.2419) q[5], q[2];\ncry(0.3056) q[4], q[0];\ncry(-0.0877) q[0], q[1];\ncry(0.1885) q[0], q[5];\ncry(-0.2205) q[1], q[5];\ncry(0.0793) q[0], q[3];\nry(-0.1114) q[2];\ncry(0.1505) q[5], q[0];\ncry(-0.1698) q[1], q[3];\ncry(0.0783) q[5], q[4];\ncry(0.0316) q[4], q[1];\ncry(0.0571) q[2], q[1];\ncry(0.0162) q[4], q[5];\ncry(0.0275) q[1], q[4];\ncry(0.0166) q[3], q[4];\ncry(0.0276) q[1], q[0];\ncry(-0.0218) q[2], q[0];\ncry(-0.0164) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":24881,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[5];\\ncry(-0.7092) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[5];\\ncry(-0.7092) q[3], q[1];\\ncry(1.164) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[5];\\ncry(-0.7092) q[3], q[1];\\ncry(1.164) q[5], q[3];\\ncry(0.4381) q[3], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[5];\\ncry(-0.7092) q[3], q[1];\\ncry(1.164) q[5], q[3];\\ncry(0.4381) q[3], q[5];\\nry(-0.3209) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[5];\\ncry(-0.7092) q[3], q[1];\\ncry(1.164) q[5], q[3];\\ncry(0.4381) q[3], q[5];\\nry(-0.3209) q[1];\\ncry(-0.6125) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[5];\\ncry(-0.7092) q[3], q[1];\\ncry(1.164) q[5], q[3];\\ncry(0.4381) q[3], q[5];\\nry(-0.3209) q[1];\\ncry(-0.6125) q[0], q[2];\\nry(0.2899) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[5];\\ncry(-0.7092) q[3], q[1];\\ncry(1.164) q[5], q[3];\\ncry(0.4381) q[3], q[5];\\nry(-0.3209) q[1];\\ncry(-0.6125) q[0], q[2];\\nry(0.2899) q[3];\\ncry(-0.4272) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(1.2292) q[4];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[5];\\ncry(-0.7092) q[3], q[1];\\ncry(1.164) q[5], q[3];\\ncry(0.4381) q[3], q[5];\\nry(-0.3209) q[1];\\ncry(-0.6125) q[0], q"}}]
["4241967995058416964","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 8], [3, 4], [4, 5], [0, 6], [8, 4], [2, 6], [2, 7], [1, 6], [8, 3], [4, 6], [2, 3], [8, 1], [5, 7], [8, 2], [1, 7], [6, 7], [1, 2], [8, 6], [0, 2], [4, 7], [2, 4], [1, 5], [8, 5], [0, 3]]}","{\"states\": [332, 108], \"expectation_value\": -4.205700453568647, \"params\": null, \"bitstrings\": [\"010110011\", \"110010011\"], \"total_optimization_steps\": 63, \"probabilities\": [0.09588526251008275, 0.7006688370525478], \"optimization_time\": 132.67534470558167}","0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(1)",1,9,1,"{\"smallest_eigenvalues\": [-5.0, -5.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001101100\", \"110010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[8];\ncry(-1.0342) q[4], q[7];\nry(1.3762) q[5];\nry(1.0293) q[6];\ncry(-0.9034) q[5], q[8];\ncry(-0.7681) q[6], q[7];\nry(1.395) q[2];\ncry(-1.4734) q[2], q[1];\ncry(-1.4173) q[3], q[0];\ncry(0.4472) q[5], q[6];\ncry(-1.2829) q[3], q[4];\ncry(0.7651) q[6], q[3];\ncry(-0.4898) q[2], q[0];\ncry(-0.4601) q[2], q[4];\nry(0.4563) q[3];\ncry(0.1739) q[2], q[5];\ncry(-0.223) q[6], q[0];\ncry(0.6329) q[7], q[4];\ncry(-0.2334) q[5], q[4];\ncry(-0.347) q[2], q[7];\ncry(0.111) q[5], q[2];\ncry(0.1922) q[5], q[3];\nry(-0.13) q[4];\ncry(0.0513) q[2], q[6];\nry(-0.11) q[8];\nry(-0.0752) q[0];\ncry(0.0883) q[2], q[3];\ncry(-0.0985) q[5], q[1];\ncry(-0.0656) q[5], q[7];\ncry(-0.0574) q[6], q[4];\ncry(-0.0375) q[5], q[0];\ncry(0.0161) q[3], q[6];\ncry(0.0872) q[8], q[7];\nry(-0.0187) q[7];\ncry(0.0466) q[7], q[8];\ncry(0.0103) q[3], q[2];\ncry(-0.014) q[3], q[8];\ncry(0.0305) q[4], q[6];\ncry(0.0314) q[7], q[6];\ncry(0.0293) q[7], q[3];\ncry(-0.0264) q[4], q[3];\ncry(0.0263) q[8], q[4];\ncry(-0.0216) q[0], q[3];\ncry(0.0207) q[8], q[0];\nry(-0.0046) q[1];\ncry(0.0165) q[8], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":65393,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[6], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[6], q[8];\\ncry(-1.0342) q[4], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[6], q[8];\\ncry(-1.0342) q[4], q[7];\\nry(1.3762) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[6], q[8];\\ncry(-1.0342) q[4], q[7];\\nry(1.3762) q[5];\\nry(1.0293) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[6], q[8];\\ncry(-1.0342) q[4], q[7];\\nry(1.3762) q[5];\\nry(1.0293) q[6];\\ncry(-0.9034) q[5], q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[6], q[8];\\ncry(-1.0342) q[4], q[7];\\nry(1.3762) q[5];\\nry(1.0293) q[6];\\ncry(-0.9034) q[5], q[8];\\ncry(-0.7681) q[6], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[6], q[8];\\ncry(-1.0342) q[4], q[7];\\nry(1.3762) q[5];\\nry(1.0293) q[6];\\ncry(-0.9034) q[5], q[8];\\ncry(-0.7681) q[6], q[7];\\nry(1.395) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[6], q[8];\\ncry(-1.0342) q[4], q[7];\\nry(1.3762) q[5];\\nry(1.0293) q[6];\\ncry(-0.9034) q[5], q[8];\\ncry(-0.7681) q[6], q[7];\\nry(1.395) q[2];\\ncry(-1.4734) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[6], q[8];\\ncry(-1.0342) q[4], q[7];\\nry(1.3762) q[5];\\nry(1.0293) q[6];\\ncry(-0.9034) q[5], q[8];\\ncry(-0.7681) q[6], q[7];\\nry(1.395) q[2];\\ncry(-1.4734) q[2], q[1];\\ncry(-1.4173) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure "}}]
["2df93713dba52fbc8f2926f6b2fd57be","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 6, \"target\": 2}]}","{\"states\": [63, 25], \"expectation_value\": -0.04201131899031936, \"params\": [[-0.0339], [0.035500000000000004]], \"bitstrings\": [\"11000000\", \"11100110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004086984968226935, 0.004087303745712418], \"optimization_time\": 1.7980256080627441}","-0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"11100110\", \"11100000\", \"11100010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.0339) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(0.0169) q[2];\ncx q[0], q[2];\ncx q[0], q[7];\nrz(-0.0678) q[7];\ncx q[0], q[7];\ncx q[2], q[3];\nrz(0.0339) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(0.0339) q[3];\ncx q[7], q[3];\ncx q[7], q[4];\nrz(0.0339) q[4];\ncx q[7], q[4];\ncx q[4], q[5];\nrz(0.0169) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.0339) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(0.0339) q[6];\ncx q[5], q[6];\nrz(0.0339) q[1];\nrz(0.0169) q[0];\nrz(0.0847) q[2];\nrz(0) q[7];\nrz(-0.0678) q[3];\nrz(-0.0508) q[4];\nrz(-0.0169) q[5];\nrz(0) q[6];\nh q[0];\nrz(0.071) q[0];\nh q[0];\nh q[1];\nrz(0.071) q[1];\nh q[1];\nh q[2];\nrz(0.071) q[2];\nh q[2];\nh q[3];\nrz(0.071) q[3];\nh q[3];\nh q[4];\nrz(0.071) q[4];\nh q[4];\nh q[5];\nrz(0.071) q[5];\nh q[5];\nh q[6];\nrz(0.071) q[6];\nh q[6];\nh q[7];\nrz(0.071) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[0], q[7];\nrz(x2) q[7];\ncx q[0], q[7];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[7], q[3];\nrz(x0) q[3];\ncx q[7], q[3];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[4], q[5];\nrz(x1) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\nrz(x0) q[1];\nrz(x1) q[0];\nrz(x3) q[2];\nrz(x4) q[7];\nrz(x2) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x4) q[6];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\nh q[6];\nrz(x7) q[6];\nh q[6];\nh q[7];\nrz(x7) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["5d969f3e881e7d52d3f80c9e7cdea154","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}, {\"source\": 6, \"target\": 8}]}","{\"states\": [393, 425], \"expectation_value\": -2.7917136204389097, \"params\": [1.6744, 0.0077, 1.8079, 0.0098, 0.36010000000000003, 0.009000000000000001, 1.6526, 0.0016, 0.3534, 0.0011, 1.8079, 0.004200000000000001, -0.0193, 0.009000000000000001, 0.47300000000000003, 0.0085, 1.7984, 0.0031000000000000003, 0.005200000000000001, 0.004200000000000001, 0.0023, 0.0031000000000000003, 0.0095, 0.0029000000000000002, 0.0035, 0.0], \"bitstrings\": [\"001110110\", \"001010110\"], \"total_optimization_steps\": 180, \"probabilities\": [0.05246226673045874, 0.06180144361461057], \"optimization_time\": 21.883569717407227}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(7) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(2) + -0.5 * Z(8) + -0.5 * Z(5)",3,9,1,"{\"smallest_eigenvalues\": [-5.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"001010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(1.6744) q[0];\nrz(0.0077) q[0];\nrx(1.8079) q[1];\nrz(0.0098) q[1];\nrx(0.3601) q[2];\nrz(0.009) q[2];\nrx(1.6526) q[3];\nrz(0.0016) q[3];\nrx(0.3534) q[4];\nrz(0.0011) q[4];\nrx(1.8079) q[5];\nrz(0.0042) q[5];\nrx(-0.0193) q[6];\nrz(0.009) q[6];\nrx(0.473) q[7];\nrz(0.0085) q[7];\nrx(1.7984) q[8];\nrz(0.0031) q[8];\ncrz(0) q[8], q[7];\ncrz(0.0035) q[7], q[6];\ncrz(0.0029) q[6], q[5];\ncrz(0.0095) q[5], q[4];\ncrz(0.0031) q[4], q[3];\ncrz(0.0023) q[3], q[2];\ncrz(0.0042) q[2], q[1];\ncrz(0.0052) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x2) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x5) q[6];\nrx(x12) q[7];\nrz(x13) q[7];\nrx(x14) q[8];\nrz(x15) q[8];\ncrz(x16) q[8], q[7];\ncrz(x17) q[7], q[6];\ncrz(x18) q[6], q[5];\ncrz(x19) q[5], q[4];\ncrz(x15) q[4], q[3];\ncrz(x20) q[3], q[2];\ncrz(x10) q[2], q[1];\ncrz(x21) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["2265773524875199093","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 3, 6], [0, 3, 5, 7], [3, 4, 6], [2, 3, 5], [0, 2, 4, 6, 7], [1, 2, 5, 6, 7], [0, 5, 6], [0, 1, 3, 4, 7], [1, 2, 4, 5, 6]]}","{\"states\": [178, 179], \"expectation_value\": -0.07301666303057518, \"params\": [[-0.057100000000000005], [0.07300000000000001]], \"bitstrings\": [\"01001101\", \"01001100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004097899630812828, 0.0041075918500265395], \"optimization_time\": 1.142676591873169}","0.21666666666666667 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.1 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(6)) + 0.18333333333333335 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(6)) + 0.1 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(5)) + 0.1 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.1 * (Z(2) @ Z(1)) + 0.15000000000000002 * (Z(2) @ Z(6)) + 0.05 * (Z(2) @ Z(0)) + 0.26666666666666666 * (Z(2) @ Z(5)) + 0.1 * (Z(2) @ Z(7)) + 0.1 * (Z(2) @ Z(4)) + 0.7250000000000001 * Z(3) + 0.46666666666666656 * Z(1) + 0.8000000000000002 * Z(6) + 0.4916666666666667 * Z(0) + 0.6583333333333334 * Z(5) + 0.42499999999999993 * Z(7) + 0.46666666666666656 * Z(4) + 0.4666666666666667 * Z(2)",1,8,1,"{\"smallest_eigenvalues\": [-2.1833333333333336], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.05, \"smallest_bitstrings\": [\"01001100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[1];\nrz(-0.0247) q[1];\ncx q[3], q[1];\ncx q[3], q[6];\nrz(-0.0381) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(-0.0305) q[6];\ncx q[1], q[6];\ncx q[3], q[0];\nrz(-0.0152) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(-0.0057) q[0];\ncx q[1], q[0];\ncx q[6], q[0];\nrz(-0.0247) q[0];\ncx q[6], q[0];\ncx q[3], q[5];\nrz(-0.0286) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(-0.0114) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(-0.0305) q[5];\ncx q[6], q[5];\ncx q[0], q[5];\nrz(-0.0286) q[5];\ncx q[0], q[5];\ncx q[3], q[7];\nrz(-0.0152) q[7];\ncx q[3], q[7];\ncx q[1], q[7];\nrz(-0.0114) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.0114) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(-0.0209) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(-0.0152) q[7];\ncx q[5], q[7];\ncx q[3], q[4];\nrz(-0.0247) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(-0.0114) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(-0.0305) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(-0.0114) q[4];\ncx q[0], q[4];\ncx q[5], q[4];\nrz(-0.0057) q[4];\ncx q[5], q[4];\ncx q[7], q[4];\nrz(-0.0114) q[4];\ncx q[7], q[4];\ncx q[3], q[2];\nrz(-0.019) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.0114) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(-0.0171) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(-0.0057) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(-0.0305) q[2];\ncx q[5], q[2];\ncx q[7], q[2];\nrz(-0.0114) q[2];\ncx q[7], q[2];\ncx q[4], q[2];\nrz(-0.0114) q[2];\ncx q[4], q[2];\nrz(-0.0828) q[3];\nrz(-0.0533) q[1];\nrz(-0.0914) q[6];\nrz(-0.0561) q[0];\nrz(-0.0752) q[5];\nrz(-0.0485) q[7];\nrz(-0.0533) q[4];\nrz(-0.0533) q[2];\nh q[0];\nrz(0.146) q[0];\nh q[0];\nh q[1];\nrz(0.146) q[1];\nh q[1];\nh q[2];\nrz(0.146) q[2];\nh q[2];\nh q[3];\nrz(0.146) q[3];\nh q[3];\nh q[4];\nrz(0.146) q[4];\nh q[4];\nh q[5];\nrz(0.146) q[5];\nh q[5];\nh q[6];\nrz(0.146) q[6];\nh q[6];\nh q[7];\nrz(0.146) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[3], q[0];\nrz(x3) q[0];\ncx q[3], q[0];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[6], q[0];\nrz(x0) q[0];\ncx q[6], q[0];\ncx q[3], q[5];\nrz(x5) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x6) q[5];\ncx q[1], q[5];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[0], q[5];\nrz(x5) q[5];\ncx q[0], q[5];\ncx q[3], q[7];\nrz(x3) q[7];\ncx q[3], q[7];\ncx q[1], q[7];\nrz(x6) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x6) q[7];\ncx q[6], q[7];\ncx q[0], q[7];\nrz(x7) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x3) q[7];\ncx q[5], q[7];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[4];\nrz(x6) q[4];\ncx q[1], q[4];\ncx q[6], q[4];\nrz(x2) q[4];\ncx q[6], q[4];\ncx q[0], q[4];\nrz(x6) q[4];\ncx q[0], q[4];\ncx q[5], q[4];\nrz(x4) q[4];\ncx q[5], q[4];\ncx q[7], q[4];\nrz(x6) q[4];\ncx q[7], q[4];\ncx q[3], q[2];\nrz(x8) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[6], q[2];\nrz(x9) q[2];\ncx q[6], q[2];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[5], q[2];\nrz(x2) q[2];\ncx q[5], q[2];\ncx q[7], q[2];\nrz(x6) q[2];\ncx q[7], q[2];\ncx q[4], q[2];\nrz(x6) q[2];\ncx q[4], q[2];\nrz(x10) q[3];\nrz(x11) q[1];\nrz(x12) q[6];\nrz(x13) q[0];\nrz(x14) q[5];\nrz(x15) q[7];\nrz(x11) q[4];\nrz(x11) q[2];\nh q[0];\nrz(x16) q[0];\nh q[0];\nh q[1];\nrz(x16) q[1];\nh q[1];\nh q[2];\nrz(x16) q[2];\nh q[2];\nh q[3];\nrz(x16) q[3];\nh q[3];\nh q[4];\nrz(x16) q[4];\nh q[4];\nh q[5];\nrz(x16) q[5];\nh q[5];\nh q[6];\nrz(x16) q[6];\nh q[6];\nh q[7];\nrz(x16) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["74f3db266dbfc29b2e3165b97e91cad0","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 2}, {\"capacity\": 5, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 5, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 6}, {\"capacity\": 5, \"source\": 4, \"target\": 1}, {\"capacity\": 5, \"source\": 4, \"target\": 2}, {\"capacity\": 6, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 3}]}","{\"states\": [74, 11], \"expectation_value\": -11.653586946764156, \"params\": null, \"bitstrings\": [\"0110101\", \"1110100\"], \"total_optimization_steps\": 45, \"probabilities\": [0.11460216893613875, 0.7884167124824446], \"optimization_time\": 43.12079191207886}","-1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0.75 * Z(6) + 0.0 * Z(3) + 2.25 * Z(5)",1,7,2,"{\"smallest_eigenvalues\": [-13.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.0, \"smallest_bitstrings\": [\"1110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\ncry(-1.5708) q[5], q[1];\ncry(-1.5708) q[6], q[0];\nry(0.9895) q[6];\ncry(-0.0065) q[5], q[0];\nry(-0.0013) q[0];\ncry(1.5704) q[5], q[3];\ncry(-0.0003) q[3], q[0];\ncry(-0.455) q[2], q[0];\ncry(0.4267) q[2], q[6];\ncry(-1.5646) q[6], q[4];\ncry(-1.4896) q[3], q[2];\ncry(-0.6289) q[0], q[6];\ncry(0.0643) q[3], q[6];\ncry(0.46) q[4], q[6];\ncry(-0.0413) q[5], q[6];\ncry(-0.0318) q[5], q[4];\ncry(0.1883) q[4], q[0];\ncry(-0.1247) q[6], q[2];\ncry(0.0531) q[5], q[2];\ncry(0.0566) q[0], q[2];\nry(-0.0225) q[2];\ncry(-0.0019) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}",{"$cut":{"chars":31819,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\ncry(-1.5708) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\ncry(-1.5708) q[5], q[1];\\ncry(-1.5708) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\ncry(-1.5708) q[5], q[1];\\ncry(-1.5708) q[6], q[0];\\nry(0.9895) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\ncry(-1.5708) q[5], q[1];\\ncry(-1.5708) q[6], q[0];\\nry(0.9895) q[6];\\ncry(-0.0065) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\ncry(-1.5708) q[5], q[1];\\ncry(-1.5708) q[6], q[0];\\nry(0.9895) q[6];\\ncry(-0.0065) q[5], q[0];\\nry(-0.0013) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\ncry(-1.5708) q[5], q[1];\\ncry(-1.5708) q[6], q[0];\\nry(0.9895) q[6];\\ncry(-0.0065) q[5], q[0];\\nry(-0.0013) q[0];\\ncry(1.5704) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\ncry(-1.5708) q[5], q[1];\\ncry(-1.5708) q[6], q[0];\\nry(0.9895) q[6];\\ncry(-0.0065) q[5], q[0];\\nry(-0.0013) q[0];\\ncry(1.5704) q[5], q[3];\\ncry(-0.0003) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\ncry(-1.5708) q[5], q[1];\\ncry(-1.5708) q[6], q[0];\\nry(0.9895) q[6];\\ncry(-0.0065) q[5], q[0];\\nry(-0.0013) q[0];\\ncry(1.5704) q[5], q[3];\\ncry(-0.0003) q[3], q[0];\\ncry(-0.455) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[5];\\ncry(-1.5708) q[5], q[1];\\ncry(-1.5708) q[6], q[0];\\nry(0.9895) q[6];\\ncry(-0.0065) q[5], q[0];\\nry(-0.0013) q[0];\\ncry(1.5704) q[5], q[3];\\ncry(-0.0003) q[3], q[0];\\ncry(-0.455) q[2], q[0];\\ncry(0.4267) q[2], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = "}}]
["-4269499404609570196","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"hyperedges\": [[0, 2, 11, 7], [1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12], [1, 2, 3, 6, 7, 9, 10], [0, 1, 2, 3, 4, 6, 8, 9, 10, 11], [0, 4, 5, 6, 8, 9, 10, 11, 12], [0, 2, 4, 5, 6, 8, 11], [1, 3, 4, 5, 8, 9, 10, 11, 12], [0, 1, 2, 3, 4, 5, 6, 7, 8, 12], [3, 4, 5, 6, 8, 11], [1, 2, 3, 4, 5, 6, 9, 10, 11, 12], [0, 9, 12, 7], [1, 3, 6, 7, 8, 10, 12], [0, 1, 3, 4, 6, 8, 9, 11, 12], [0, 2, 4, 7, 8, 9], [3, 6, 7, 8, 9, 11]]}","{\"states\": [7150, 7839], \"expectation_value\": -1.9111412614788579, \"params\": [[0.3788], [-0.37870000000000004]], \"bitstrings\": [\"0010000010001\", \"0000101100000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.0005374320065490826, 0.0005634464507514753], \"optimization_time\": 56.617753744125366}","0.16269841269841268 * (Z(0) @ Z(2)) + 0.13845598845598844 * (Z(11) @ Z(2)) + 0.14603174603174604 * (Z(11) @ Z(0)) + 0.16067821067821067 * (Z(7) @ Z(2)) + 0.21111111111111108 * (Z(7) @ Z(0)) + 0.12575757575757576 * (Z(7) @ Z(11)) + 0.06623376623376624 * (Z(1) @ Z(2)) + 0.03611111111111111 * (Z(1) @ Z(0)) + 0.05909090909090909 * (Z(1) @ Z(11)) + 0.06782106782106782 * (Z(1) @ Z(7)) + 0.09956709956709955 * (Z(4) @ Z(2)) + 0.10714285714285715 * (Z(4) @ Z(0)) + 0.1301226551226551 * (Z(4) @ Z(11)) + 0.05353535353535353 * (Z(4) @ Z(7)) + 0.07020202020202021 * (Z(4) @ Z(1)) + 0.05512265512265513 * (Z(5) @ Z(2)) + 0.04880952380952381 * (Z(5) @ Z(0)) + 0.10512265512265512 * (Z(5) @ Z(11)) + 0.0202020202020202 * (Z(5) @ Z(7)) + 0.0452020202020202 * (Z(5) @ Z(1)) + 0.11623376623376623 * (Z(5) @ Z(4)) + 0.09004329004329005 * (Z(6) @ Z(2)) + 0.07380952380952381 * (Z(6) @ Z(0)) + 0.14956709956709954 * (Z(6) @ Z(11)) + 0.10115440115440116 * (Z(6) @ Z(7)) + 0.10393217893217893 * (Z(6) @ Z(1)) + 0.12734487734487734 * (Z(6) @ Z(4)) + 0.10234487734487734 * (Z(6) @ Z(5)) + 0.08845598845598845 * (Z(8) @ Z(2)) + 0.10714285714285715 * (Z(8) @ Z(0)) + 0.15234487734487734 * (Z(8) @ Z(11)) + 0.11067821067821068 * (Z(8) @ Z(7)) + 0.08290043290043289 * (Z(8) @ Z(1)) + 0.16345598845598847 * (Z(8) @ Z(4)) + 0.10512265512265512 * (Z(8) @ Z(5)) + 0.17337662337662338 * (Z(8) @ Z(6)) + 0.08845598845598845 * (Z(9) @ Z(2)) + 0.15555555555555556 * (Z(9) @ Z(0)) + 0.1063131313131313 * (Z(9) @ Z(11)) + 0.1829004329004329 * (Z(9) @ Z(7)) + 0.08290043290043289 * (Z(9) @ Z(1)) + 0.1063131313131313 * (Z(9) @ Z(4)) + 0.04797979797979798 * (Z(9) @ Z(5)) + 0.11623376623376622 * (Z(9) @ Z(6)) + 0.12853535353535353 * (Z(9) @ Z(8)) + 0.05512265512265513 * (Z(10) @ Z(2)) + 0.025 * (Z(10) @ Z(0)) + 0.05909090909090909 * (Z(10) @ Z(11)) + 0.05670995670995671 * (Z(10) @ Z(7)) + 0.09282106782106782 * (Z(10) @ Z(1)) + 0.05909090909090909 * (Z(10) @ Z(4)) + 0.04797979797979798 * (Z(10) @ Z(5)) + 0.09282106782106782 * (Z(10) @ Z(6)) + 0.07178932178932179 * (Z(10) @ Z(8)) + 0.0829004329004329 * (Z(10) @ Z(9)) + 0.031313131313131314 * (Z(12) @ Z(2)) + 0.12222222222222223 * (Z(12) @ Z(0)) + 0.06186868686868687 * (Z(12) @ Z(11)) + 0.12734487734487734 * (Z(12) @ Z(7)) + 0.08290043290043289 * (Z(12) @ Z(1)) + 0.07297979797979798 * (Z(12) @ Z(4)) + 0.0590909090909091 * (Z(12) @ Z(5)) + 0.08290043290043289 * (Z(12) @ Z(6)) + 0.08567821067821069 * (Z(12) @ Z(8)) + 0.14520202020202022 * (Z(12) @ Z(9)) + 0.07178932178932179 * (Z(12) @ Z(10)) + 0.05714285714285715 * (Z(3) @ Z(2)) + 0.03611111111111111 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(3) @ Z(11)) + 0.09206349206349207 * (Z(3) @ Z(7)) + 0.10873015873015873 * (Z(3) @ Z(1)) + 0.09444444444444444 * (Z(3) @ Z(4)) + 0.06944444444444445 * (Z(3) @ Z(5)) + 0.1615079365079365 * (Z(3) @ Z(6)) + 0.14047619047619048 * (Z(3) @ Z(8)) + 0.10714285714285715 * (Z(3) @ Z(9)) + 0.08373015873015874 * (Z(3) @ Z(10)) + 0.07380952380952381 * (Z(3) @ Z(12)) + 0.5466450216450217 * Z(2) + 0.6158730158730157 * Z(0) + 0.67521645021645 * Z(11) + 0.6549783549783549 * Z(7) + 0.4494227994227994 * Z(1) + 0.6002164502164502 * Z(4) + 0.4113275613275613 * Z(5) + 0.6875180375180373 * Z(6) + 0.704978354978355 * Z(8) + 0.67521645021645 * Z(9) + 0.39942279942279957 * Z(10) + 0.5085497835497838 * Z(12) + 0.5706349206349206 * Z(3)",1,13,1,"{\"smallest_eigenvalues\": [-2.7572871572871573], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.7541125541125533, \"smallest_bitstrings\": [\"0000101100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\ncx q[2], q[0];\nrz(0.1233) q[0];\ncx q[2], q[0];\ncx q[2], q[11];\nrz(0.1049) q[11];\ncx q[2], q[11];\ncx q[0], q[11];\nrz(0.1106) q[11];\ncx q[0], q[11];\ncx q[2], q[7];\nrz(0.1217) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(0.1599) q[7];\ncx q[0], q[7];\ncx q[11], q[7];\nrz(0.0953) q[7];\ncx q[11], q[7];\ncx q[2], q[1];\nrz(0.0502) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(0.0274) q[1];\ncx q[0], q[1];\ncx q[11], q[1];\nrz(0.0448) q[1];\ncx q[11], q[1];\ncx q[7], q[1];\nrz(0.0514) q[1];\ncx q[7], q[1];\ncx q[2], q[4];\nrz(0.0754) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.0812) q[4];\ncx q[0], q[4];\ncx q[11], q[4];\nrz(0.0986) q[4];\ncx q[11], q[4];\ncx q[7], q[4];\nrz(0.0406) q[4];\ncx q[7], q[4];\ncx q[1], q[4];\nrz(0.0532) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(0.0418) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.037) q[5];\ncx q[0], q[5];\ncx q[11], q[5];\nrz(0.0796) q[5];\ncx q[11], q[5];\ncx q[7], q[5];\nrz(0.0153) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(0.0342) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.0881) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.0682) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0559) q[6];\ncx q[0], q[6];\ncx q[11], q[6];\nrz(0.1133) q[6];\ncx q[11], q[6];\ncx q[7], q[6];\nrz(0.0766) q[6];\ncx q[7], q[6];\ncx q[1], q[6];\nrz(0.0787) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(0.0965) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.0775) q[6];\ncx q[5], q[6];\ncx q[2], q[8];\nrz(0.067) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(0.0812) q[8];\ncx q[0], q[8];\ncx q[11], q[8];\nrz(0.1154) q[8];\ncx q[11], q[8];\ncx q[7], q[8];\nrz(0.0838) q[8];\ncx q[7], q[8];\ncx q[1], q[8];\nrz(0.0628) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(0.1238) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(0.0796) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(0.1314) q[8];\ncx q[6], q[8];\ncx q[2], q[9];\nrz(0.067) q[9];\ncx q[2], q[9];\ncx q[0], q[9];\nrz(0.1178) q[9];\ncx q[0], q[9];\ncx q[11], q[9];\nrz(0.0805) q[9];\ncx q[11], q[9];\ncx q[7], q[9];\nrz(0.1386) q[9];\ncx q[7], q[9];\ncx q[1], q[9];\nrz(0.0628) q[9];\ncx q[1], q[9];\ncx q[4], q[9];\nrz(0.0805) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(0.0363) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(0.0881) q[9];\ncx q[6], q[9];\ncx q[8], q[9];\nrz(0.0974) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(0.0418) q[10];\ncx q[2], q[10];\ncx q[0], q[10];\nrz(0.0189) q[10];\ncx q[0], q[10];\ncx q[11], q[10];\nrz(0.0448) q[10];\ncx q[11], q[10];\ncx q[7], q[10];\nrz(0.043) q[10];\ncx q[7], q[10];\ncx q[1], q[10];\nrz(0.0703) q[10];\ncx q[1], q[10];\ncx q[4], q[10];\nrz(0.0448) q[10];\ncx q[4], q[10];\ncx q[5], q[10];\nrz(0.0363) q[10];\ncx q[5], q[10];\ncx q[6], q[10];\nrz(0.0703) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(0.0544) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(0.0628) q[10];\ncx q[9], q[10];\ncx q[2], q[12];\nrz(0.0237) q[12];\ncx q[2], q[12];\ncx q[0], q[12];\nrz(0.0926) q[12];\ncx q[0], q[12];\ncx q[11], q[12];\nrz(0.0469) q[12];\ncx q[11], q[12];\ncx q[7], q[12];\nrz(0.0965) q[12];\ncx q[7], q[12];\ncx q[1], q[12];\nrz(0.0628) q[12];\ncx q[1], q[12];\ncx q[4], q[12];\nrz(0.0553) q[12];\ncx q[4], q[12];\ncx q[5], q[12];\nrz(0.0448) q[12];\ncx q[5], q[12];\ncx q[6], q[12];\nrz(0.0628) q[12];\ncx q[6], q[12];\ncx q[8], q[12];\nrz(0.0649) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(0.11) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(0.0544) q[12];\ncx q[10], q[12];\ncx q[2], q[3];\nrz(0.0433) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(0.0274) q[3];\ncx q[0], q[3];\ncx q[11], q[3];\nrz(0.0884) q[3];\ncx q[11], q[3];\ncx q[7], q[3];\nrz(0.0697) q[3];\ncx q[7], q[3];\ncx q[1], q[3];\nrz(0.0824) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(0.0716) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(0.0526) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(0.1224) q[3];\ncx q[6], q[3];\ncx q[8], q[3];\nrz(0.1064) q[3];\ncx q[8], q[3];\ncx q[9], q[3];\nrz(0.0812) q[3];\ncx q[9], q[3];\ncx q[10], q[3];\nrz(0.0634) q[3];\ncx q[10], q[3];\ncx q[12], q[3];\nrz(0.0559) q[3];\ncx q[12], q[3];\nrz(0.4141) q[2];\nrz(0.4666) q[0];\nrz(0.5115) q[11];\nrz(0.4962) q[7];\nrz(0.3405) q[1];\nrz(0.4547) q[4];\nrz(0.3116) q[5];\nrz(0.5209) q[6];\nrz(0.5341) q[8];\nrz(0.5115) q[9];\nrz(0.3026) q[10];\nrz(0.3853) q[12];\nrz(0.4323) q[3];\nh q[0];\nrz(-0.7574) q[0];\nh q[0];\nh q[1];\nrz(-0.7574) q[1];\nh q[1];\nh q[2];\nrz(-0.7574) q[2];\nh q[2];\nh q[3];\nrz(-0.7574) q[3];\nh q[3];\nh q[4];\nrz(-0.7574) q[4];\nh q[4];\nh q[5];\nrz(-0.7574) q[5];\nh q[5];\nh q[6];\nrz(-0.7574) q[6];\nh q[6];\nh q[7];\nrz(-0.7574) q[7];\nh q[7];\nh q[8];\nrz(-0.7574) q[8];\nh q[8];\nh q[9];\nrz(-0.7574) q[9];\nh q[9];\nh q[10];\nrz(-0.7574) q[10];\nh q[10];\nh q[11];\nrz(-0.7574) q[11];\nh q[11];\nh q[12];\nrz(-0.7574) q[12];\nh q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x8;\ninput float[64] x9;\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[11];\nrz(x1) q[11];\ncx q[2], q[11];\ncx q[0], q[11];\nrz(x2) q[11];\ncx q[0], q[11];\ncx q[2], q[7];\nrz(x3) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[11], q[7];\nrz(x5) q[7];\ncx q[11], q[7];\ncx q[2], q[1];\nrz(x6) q[1];\ncx q[2], q[1];\ncx q[0], q[1];\nrz(x7) q[1];\ncx q[0], q[1];\ncx q[11], q[1];\nrz(x8) q[1];\ncx q[11], q[1];\ncx q[7], q[1];\nrz(x9) q[1];\ncx q[7], q[1];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x11) q[4];\ncx q[0], q[4];\ncx q[11], q[4];\nrz(x12) q[4];\ncx q[11], q[4];\ncx q[7], q[4];\nrz(x13) q[4];\ncx q[7], q[4];\ncx q[1], q[4];\nrz(x14) q[4];\ncx q[1], q[4];\ncx q[2], q[5];\nrz(x15) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x16) q[5];\ncx q[0], q[5];\ncx q[11], q[5];\nrz(x17) q[5];\ncx q[11], q[5];\ncx q[7], q[5];\nrz(x18) q[5];\ncx q[7], q[5];\ncx q[1], q[5];\nrz(x19) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x21) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x22) q[6];\ncx q[0], q[6];\ncx q[11], q[6];\nrz(x23) q[6];\ncx q[11], q[6];\ncx q[7], q[6];\nrz(x24) q[6];\ncx q[7], q[6];\ncx q[1], q[6];\nrz(x25) q[6];\ncx q[1], q[6];\ncx q[4], q[6];\nrz(x26) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x27) q[6];\ncx q[5], q[6];\ncx q[2], q[8];\nrz(x28) q[8];\ncx q[2], q[8];\ncx q[0], q[8];\nrz(x11) q[8];\ncx q[0], q[8];\ncx q[11], q[8];\nrz(x29) q[8];\ncx q[11], q[8];\ncx q[7], q[8];\nrz(x30) q[8];\ncx q[7], q[8];\ncx q[1], q[8];\nrz(x31) q[8];\ncx q[1], q[8];\ncx q[4], q[8];\nrz(x32) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(x17) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x33) q[8];\ncx q[6], q[8];\ncx q[2], q[9];\nrz(x28) q[9];\ncx q[2], q[9];\ncx q[0], q[9];\nrz(x34) q[9];\ncx q[0], q[9];\ncx q[11], q[9];\nrz(x35) q[9];\ncx q[11], q[9];\ncx q[7], q[9];\nrz(x36) q[9];\ncx q[7], q[9];\ncx q[1], q[9];\nrz(x31) q[9];\ncx q[1], q[9];\ncx q[4], q[9];\nrz(x35) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(x37) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(x20) q[9];\ncx q[6], q[9];\ncx q[8], q[9];\nrz(x38) q[9];\ncx q[8], q[9];\ncx q[2], q[10];\nrz(x15) q[10];\ncx q[2], q[10];\ncx q[0], q[10];\nrz(x39) q[10];\ncx q[0], q[10];\ncx q[11], q[10];\nrz(x8) q[10];\ncx q[11], q[10];\ncx q[7], q[10];\nrz(x40) q[10];\ncx q[7], q[10];\ncx q[1], q[10];\nrz(x41) q[10];\ncx q[1], q[10];\ncx q[4], q[10];\nrz(x8) q[10];\ncx q[4], q[10];\ncx q[5], q[10];\nrz(x37) q[10];\ncx q[5], q[10];\ncx q[6], q[10];\nrz(x41) q[10];\ncx q[6], q[10];\ncx q[8], q[10];\nrz(x42) q[10];\ncx q[8], q[10];\ncx q[9], q[10];\nrz(x31) q[10];\ncx q[9], q[10];\ncx q[2], q[12];\nrz(x43) q[12];\ncx q[2], q[12];\ncx q[0], q[12];\nrz(x44) q[12];\ncx q[0], q[12];\ncx q[11], q[12];\nrz(x45) q[12];\ncx q[11], q[12];\ncx q[7], q[12];\nrz(x26) q[12];\ncx q[7], q[12];\ncx q[1], q[12];\nrz(x31) q[12];\ncx q[1], q[12];\ncx q[4], q[12];\nrz(x46) q[12];\ncx q[4], q[12];\ncx q[5], q[12];\nrz(x8) q[12];\ncx q[5], q[12];\ncx q[6], q[12];\nrz(x31) q[12];\ncx q[6], q[12];\ncx q[8], q[12];\nrz(x47) q[12];\ncx q[8], q[12];\ncx q[9], q[12];\nrz(x48) q[12];\ncx q[9], q[12];\ncx q[10], q[12];\nrz(x42) q[12];\ncx q[10], q[12];\ncx q[2], q[3];\nrz(x49) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[11], q[3];\nrz(x50) q[3];\ncx q[11], q[3];\ncx q[7], q[3];\nrz(x51) q[3];\ncx q[7], q[3];\ncx q[1], q[3];\nrz(x52) q[3];\ncx q[1], q[3];\ncx q[4], q[3];\nrz(x53) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x54) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x55) q[3];\ncx q[6], q[3];\ncx q[8], q[3];\nrz(x56) q[3];\ncx q[8], q[3];\ncx q[9], q[3];\nrz(x11) q[3];\ncx q[9], q[3];\ncx q[10], q[3];\nrz(x57) q[3];\ncx q[10], q[3];\ncx q[12], q[3];\nrz(x22) q[3];\ncx q[12], q[3];\nrz(x58) q[2];\nrz(x59) q[0];\nrz(x60) q[11];\nrz(x61) q[7];\nrz(x62) q[1];\nrz(x63) q[4];\nrz(x64) q[5];\nrz(x65) q[6];\nrz(x66) q[8];\nrz(x60) q[9];\nrz(x67) q[10];\nrz(x68) q[12];\nrz(x69) q[3];\nh q[0];\nrz(x70) q[0];\nh q[0];\nh q[1];\nrz(x70) q[1];\nh q[1];\nh q[2];\nrz(x70) q[2];\nh q[2];\nh q[3];\nrz(x70) q[3];\nh q[3];\nh q[4];\nrz(x70) q[4];\nh q[4];\nh q[5];\nrz(x70) q[5];\nh q[5];\nh q[6];\nrz(x70) q[6];\nh q[6];\nh q[7];\nrz(x70) q[7];\nh q[7];\nh q[8];\nrz(x70) q[8];\nh q[8];\nh q[9];\nrz(x70) q[9];\nh q[9];\nh q[10];\nrz(x70) q[10];\nh q[10];\nh q[11];\nrz(x70) q[11];\nh q[11];\nh q[12];\nrz(x70) q[12];\nh q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];",null,"{\"circuits\": [], \"gradients\": []}"]
["c69798a15730b7afdff62476bc09c790","connected_components","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}]}","{\"states\": [896, 903], \"expectation_value\": -1.278442723007192, \"params\": [[-0.0558], [0.0609]], \"bitstrings\": [\"0001111111\", \"0001111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.001482479368283818, 0.0015400436926181428], \"optimization_time\": 2.5754358768463135}","-1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + -2.0 * Z(4) + -2.0 * Z(6) + 2.0 * Z(3) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-23.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -20.0, \"smallest_bitstrings\": [\"0001111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(0.1674) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1674) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0558) q[2];\ncx q[0], q[2];\ncx q[5], q[4];\nrz(0.279) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(-0.1674) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(0.279) q[6];\ncx q[4], q[6];\ncx q[5], q[3];\nrz(0.279) q[3];\ncx q[5], q[3];\ncx q[4], q[3];\nrz(0.279) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(0.279) q[3];\ncx q[6], q[3];\ncx q[8], q[7];\nrz(0.1674) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(-0.0558) q[9];\ncx q[8], q[9];\ncx q[7], q[9];\nrz(0.1674) q[9];\ncx q[7], q[9];\nrz(-0.0558) q[1];\nrz(-0.0558) q[0];\nrz(-0.0558) q[2];\nrz(0.2232) q[5];\nrz(0.2232) q[4];\nrz(0.2232) q[6];\nrz(-0.2232) q[3];\nrz(-0.0558) q[8];\nrz(-0.0558) q[7];\nrz(-0.0558) q[9];\nh q[0];\nrz(0.1218) q[0];\nh q[0];\nh q[1];\nrz(0.1218) q[1];\nh q[1];\nh q[2];\nrz(0.1218) q[2];\nh q[2];\nh q[3];\nrz(0.1218) q[3];\nh q[3];\nh q[4];\nrz(0.1218) q[4];\nh q[4];\nh q[5];\nrz(0.1218) q[5];\nh q[5];\nh q[6];\nrz(0.1218) q[6];\nh q[6];\nh q[7];\nrz(0.1218) q[7];\nh q[7];\nh q[8];\nrz(0.1218) q[8];\nh q[8];\nh q[9];\nrz(0.1218) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x1) q[2];\ncx q[0], q[2];\ncx q[5], q[4];\nrz(x2) q[4];\ncx q[5], q[4];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[4], q[6];\nrz(x2) q[6];\ncx q[4], q[6];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[4], q[3];\nrz(x2) q[3];\ncx q[4], q[3];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[8], q[9];\nrz(x1) q[9];\ncx q[8], q[9];\ncx q[7], q[9];\nrz(x0) q[9];\ncx q[7], q[9];\nrz(x1) q[1];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x4) q[5];\nrz(x4) q[4];\nrz(x4) q[6];\nrz(x5) q[3];\nrz(x1) q[8];\nrz(x1) q[7];\nrz(x1) q[9];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nh q[8];\nrz(x6) q[8];\nh q[8];\nh q[9];\nrz(x6) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 3}","{\"circuits\": [], \"gradients\": []}"]
["38980211450f7282c15e0ab435ff2cd6","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 3, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}]}","{\"states\": [62, 1], \"expectation_value\": -0.21035186745969273, \"params\": [[-0.0781], [0.07]], \"bitstrings\": [\"000001\", \"111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.018041487720343925, 0.019535374609124877], \"optimization_time\": 1.4008207321166992}","-0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5)",1,6,1,"{\"smallest_eigenvalues\": [-6.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.1172) q[0];\ncx q[2], q[0];\ncx q[0], q[4];\nrz(0.0391) q[4];\ncx q[0], q[4];\ncx q[4], q[1];\nrz(0.0781) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(0.1172) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(0.0391) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(0.1562) q[3];\ncx q[1], q[3];\ncx q[2], q[5];\nrz(0.0391) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.1953) q[5];\ncx q[0], q[5];\nrz(-0.0391) q[2];\nrz(0.0391) q[0];\nrz(0) q[4];\nrz(0.0781) q[1];\nrz(0.0781) q[3];\nrz(-0.1562) q[5];\nh q[0];\nrz(0.14) q[0];\nh q[0];\nh q[1];\nrz(0.14) q[1];\nh q[1];\nh q[2];\nrz(0.14) q[2];\nh q[2];\nh q[3];\nrz(0.14) q[3];\nh q[3];\nh q[4];\nrz(0.14) q[4];\nh q[4];\nh q[5];\nrz(0.14) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[4], q[1];\nrz(x2) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[4], q[3];\nrz(x1) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x4) q[5];\ncx q[0], q[5];\nrz(x5) q[2];\nrz(x1) q[0];\nrz(x6) q[4];\nrz(x2) q[1];\nrz(x2) q[3];\nrz(x7) q[5];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["1255058835107117913","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[4, 7], [0, 2], [1, 6], [3, 5]]}","{\"states\": [58, 46], \"expectation_value\": -1.9542022789588303, \"params\": null, \"bitstrings\": [\"11000101\", \"11010001\"], \"total_optimization_steps\": 59, \"probabilities\": [0.050406988492916874, 0.7485113925390797], \"optimization_time\": 61.181602478027344}","0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3)",1,8,1,"{\"smallest_eigenvalues\": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], \"number_of_smallest_eigenvalues\": 16, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"10000111\", \"11000101\", \"11010001\", \"00111010\", \"11011000\", \"01100101\", \"00110011\", \"01101100\", \"01110001\", \"00100111\", \"10011010\", \"01111000\", \"00101110\", \"11001100\", \"10001110\", \"10010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[4], q[7];\ncry(-1.0342) q[5], q[3];\ncry(-1.0342) q[6], q[1];\ncry(-1.0342) q[2], q[0];\nry(0.7003) q[4];\nry(0.7003) q[5];\nry(0.7003) q[6];\nry(0.7003) q[2];\nry(-0.4549) q[0];\nry(-0.4549) q[1];\nry(-0.4549) q[3];\nry(-0.4549) q[7];\ncry(0.4578) q[5], q[6];\ncry(0.4767) q[6], q[4];\ncry(0.4791) q[4], q[2];\ncry(0.4681) q[2], q[5];\ncry(-0.3586) q[4], q[0];\ncry(-0.3557) q[6], q[7];\ncry(-0.3471) q[2], q[3];\ncry(-0.3258) q[5], q[1];\ncry(0.3113) q[2], q[6];\ncry(0.2597) q[6], q[2];\ncry(0.2644) q[2], q[4];\ncry(0.2669) q[4], q[5];\ncry(-0.182) q[2], q[1];\ncry(-0.1768) q[2], q[7];\ncry(-0.1713) q[4], q[3];\ncry(-0.168) q[6], q[0];\ncry(0.1226) q[4], q[6];\ncry(0.1113) q[6], q[5];\ncry(0.1118) q[5], q[4];\ncry(0.1051) q[5], q[2];\ncry(-0.0752) q[4], q[1];\ncry(-0.0741) q[6], q[3];\ncry(-0.0645) q[5], q[0];\ncry(-0.0613) q[5], q[7];\ncry(0.0514) q[7], q[2];\ncry(0.0501) q[0], q[5];\ncry(0.0483) q[1], q[4];\ncry(0.0411) q[7], q[5];\ncry(0.0409) q[0], q[6];\ncry(0.0404) q[0], q[4];\ncry(0.039) q[1], q[2];\ncry(0.0372) q[3], q[6];\ncry(0.0354) q[1], q[5];\ncry(0.0326) q[7], q[6];\ncry(-0.0282) q[0], q[2];\ncry(-0.0273) q[7], q[4];\ncry(0.0272) q[3], q[2];\ncry(-0.0262) q[1], q[6];\ncry(-0.026) q[3], q[5];\ncry(0.026) q[3], q[4];\ncry(-0.0176) q[3], q[1];\ncry(-0.0144) q[0], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,null,{"$cut":{"chars":60928,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\ncry(-1.0342) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[6], q[1];\\ncry(-1.0342) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[6], q[1];\\ncry(-1.0342) q[2], q[0];\\nry(0.7003) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[6], q[1];\\ncry(-1.0342) q[2], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[6], q[1];\\ncry(-1.0342) q[2], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[5];\\nry(0.7003) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[6], q[1];\\ncry(-1.0342) q[2], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[5];\\nry(0.7003) q[6];\\nry(0.7003) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\ncry(-1.0342) q[5], q[3];\\ncry(-1.0342) q[6], q[1];\\ncry(-1.0342) q[2], q[0];\\nry(0.7003) q[4];\\nry(0.7003) q[5];\\nry(0.7003) q[6];\\nry(0.7003) q[2];\\nry(-0.4549) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\ncry(-1.0342) q[4], q[7];\\ncry("}}]
["86d59c6096ff3db0c9f906cf39a44678","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [70, 74], \"expectation_value\": -3.488827234309525, \"params\": null, \"bitstrings\": [\"0111001\", \"0110101\"], \"total_optimization_steps\": 30, \"probabilities\": [0.06089263191327698, 0.86370083709651], \"optimization_time\": 29.858007669448853}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4)",1,7,2,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"0100111\", \"0111001\", \"0110101\", \"0101110\", \"0101011\", \"0111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nry(-1.4449) q[6];\nry(1.4449) q[0];\ncry(-1.0398) q[3], q[4];\ncry(-1.0342) q[5], q[2];\nry(0.7003) q[5];\nry(0.6944) q[3];\nry(-0.4549) q[2];\ncry(0.4963) q[0], q[5];\ncry(-0.3789) q[0], q[2];\nry(-0.451) q[4];\ncry(0.4963) q[0], q[3];\ncry(-0.3778) q[0], q[4];\ncry(0.246) q[5], q[3];\ncry(0.2416) q[3], q[5];\ncry(-0.1442) q[5], q[4];\ncry(-0.1437) q[3], q[2];\ncry(-0.1185) q[0], q[6];\ncry(0.1076) q[5], q[0];\ncry(0.0427) q[2], q[3];\ncry(0.0418) q[4], q[5];\ncry(0.0144) q[3], q[0];\ncry(-0.0282) q[2], q[5];\ncry(-0.0276) q[4], q[3];\ncry(0.0215) q[2], q[0];\ncry(-0.0073) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":19165,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0342) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0342) q[5], q[2];\\nry(0.7003) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0342) q[5], q[2];\\nry(0.7003) q[5];\\nry(0.6944) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0342) q[5], q[2];\\nry(0.7003) q[5];\\nry(0.6944) q[3];\\nry(-0.4549) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0342) q[5], q[2];\\nry(0.7003) q[5];\\nry(0.6944) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[1];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\ncry(-1.0398) q[3], q[4];\\ncry(-1.0342) q[5], q[2];\\nry(0.7003) q[5];\\nry(0.6944) q[3];\\nry(-0.4549) q[2];\\ncry(0.4963) q[0], q[5];\\ncry(-0.3789) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];"}}]
["87c3ced1ef7832360d99a2d1828a4d93","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [10, 12], \"expectation_value\": -4.474105370885989, \"params\": null, \"bitstrings\": [\"110101\", \"110011\"], \"total_optimization_steps\": 15, \"probabilities\": [0.07397893941132597, 0.9005734987526041], \"optimization_time\": 13.64511775970459}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(3)",1,6,3,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"111010\", \"011011\", \"110101\", \"110011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nry(-1.5681) q[0];\nry(-1.4449) q[5];\nry(1.4417) q[2];\ncry(-1.0398) q[3], q[4];\nry(0.7022) q[3];\nry(-0.4578) q[4];\ncry(0.4969) q[2], q[3];\ncry(-0.3761) q[2], q[4];\ncry(-0.1216) q[2], q[5];\ncry(0.1097) q[3], q[2];\ncry(-0.0705) q[4], q[3];\ncry(0.029) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nry(-0.4578) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nry(-0.4578) q[4];\\ncry(0.4969) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nry(-0.4578) q[4];\\ncry(0.4969) q[2], q[3];\\ncry(-0.3761) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nry(-0.4578) q[4];\\ncry(0.4969) q[2], q[3];\\ncry(-0.3761) q[2], q[4];\\ncry(-0.1216) q[2], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nry(-0.4578) q[4];\\ncry(0.4969) q[2], q[3];\\ncry(-0.3761) q[2], q[4];\\ncry(-0.1216) q[2], q[5];\\ncry(0.1097) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nry(-0.4578) q[4];\\ncry(0.4969) q[2], q[3];\\ncry(-0.3761) q[2], q[4];\\ncry(-0.1216) q[2], q[5];\\ncry(0.1097) q[3], q[2];\\ncry(-0.0705) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nry(-0.4578) q[4];\\ncry(0.4969) q[2], q[3];\\ncry(-0.3761) q[2], q[4];\\ncry(-0.1216) q[2], q[5];\\ncry(0.1097) q[3], q[2];\\ncry(-0.0705) q[4], q[3];\\ncry(0.029) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nry(-0.4578) q[4];\\ncry(0.4969) q[2], q[3];\\ncry(-0.3761) q[2], q[4];\\ncry(-0.1216) q[2], q[5];\\ncry(0.1097) q[3], q[2];\\ncry(-0.0705) q[4], q[3];\\ncry(0.029) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5708) q[1];\\nry(-1.5681) q[0];\\nry(-1.4449) q[5];\\nry(1.4417) q[2];\\ncry(-1.0398) q[3], q[4];\\nry(0.7022) q[3];\\nry(-0.4578) q[4];\\ncry(0.4969) q[2], q[3];\\ncry(-0.3761) q[2], q[4];\\ncry(-0.1216) q[2], q[5];\\ncry(0.1097) q[3], q[2];\\ncry(-0.0705) q[4], q[3];\\ncry(0.029) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\"], \"gradients\": [2.0117, 1.0057, 0.5028, 0.4959, 0.2527, 0.247, 0.1905, 0.2251, 0.1875, 0.0732, 0.0532, 0.0153, 0.0063, 0.0044, 0.003]}"]
["fbd951d8e0967f93aa199e767c7a8404","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [71, 69], \"expectation_value\": -0.2966853911920998, \"params\": [[0.060200000000000004], [-0.0587]], \"bitstrings\": [\"0111000\", \"0111010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.008747866724616228, 0.008776906827673143], \"optimization_time\": 1.7560994625091553}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-6.0, -6.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"0111010\", \"0111001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.0602) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0602) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0602) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.0602) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.0602) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0602) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(0.0602) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(0.0602) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.0602) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(0.0602) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(0.0602) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(0.0602) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0602) q[6];\ncx q[5], q[6];\nrz(-0.301) q[1];\nrz(-0.1204) q[0];\nrz(-0.1806) q[2];\nrz(-0.1806) q[3];\nrz(-0.0602) q[4];\nrz(-0.1204) q[5];\nrz(-0.1806) q[6];\nh q[0];\nrz(-0.1174) q[0];\nh q[0];\nh q[1];\nrz(-0.1174) q[1];\nh q[1];\nh q[2];\nrz(-0.1174) q[2];\nh q[2];\nh q[3];\nrz(-0.1174) q[3];\nh q[3];\nh q[4];\nrz(-0.1174) q[4];\nh q[4];\nh q[5];\nrz(-0.1174) q[5];\nh q[5];\nh q[6];\nrz(-0.1174) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x3) q[3];\nrz(x4) q[4];\nrz(x2) q[5];\nrz(x3) q[6];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["b93e7e87e2621c92c7ba04b041c49bf3","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [8, 41], \"expectation_value\": -2.5276976393340513, \"params\": [[[1.6109, 0.0886], [0.0021000000000000003, 0.09380000000000001], [1.5949, 0.7328], [0.1489, 0.7303000000000001], [1.4007, -0.49010000000000004], [0.1022, -0.4914]]], \"bitstrings\": [\"110111\", \"010110\"], \"total_optimization_steps\": 160, \"probabilities\": [0.1524912187664536, 0.16459515427470361], \"optimization_time\": 7.169209957122803}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5)",15,6,1,"{\"smallest_eigenvalues\": [-4.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nry(1.6109) q[0];\nry(0.0021) q[1];\nry(1.5949) q[2];\nry(0.1489) q[3];\nry(1.4007) q[4];\nry(0.1022) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0886) q[0];\nry(0.0938) q[1];\nry(0.7328) q[2];\nry(0.7303) q[3];\nry(-0.4901) q[4];\nry(-0.4914) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\ncx q[5], q[0];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x6) q[0];\nry(x7) q[1];\nry(x8) q[2];\nry(x9) q[3];\nry(x10) q[4];\nry(x11) q[5];\ncx q[5], q[4];\ncx q[0], q[5];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["db784e556d41a28cc9d16f62f2178a6a","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 11}, {\"source\": 9, \"target\": 10}, {\"source\": 9, \"target\": 11}, {\"source\": 10, \"target\": 11}]}","{\"states\": [0, 2047], \"expectation_value\": -30.194848022425475, \"params\": [[[0.0019, 1.6142], [0.0019, 0.002], [0.0018000000000000002, 0.0021000000000000003], [0.002, 0.0018000000000000002], [0.0023, 0.0022], [0.0018000000000000002, 0.0023], [0.0024000000000000002, 0.0022], [-0.0034000000000000002, 0.0019], [0.0022, 0.0021000000000000003], [-0.0028, 0.0021000000000000003], [-0.0024000000000000002, 0.0024000000000000002]]], \"bitstrings\": [\"11111111111\", \"00000000000\"], \"total_optimization_steps\": 160, \"probabilities\": [0.47829520343877474, 0.5216787325912255], \"optimization_time\": 7.16377067565918}","-2.0 * (Z(0) @ Z(3)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(9)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(10)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 1.0 * Z(9) + 0.5 * Z(7) + -1.5 * Z(10) + 1.0 * Z(8)",15,11,1,"{\"smallest_eigenvalues\": [-34.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -32.5, \"smallest_bitstrings\": [\"00000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.0019) q[0];\nry(0.0019) q[1];\nry(0.0018) q[2];\nry(0.002) q[3];\nry(0.0023) q[4];\nry(0.0018) q[5];\nry(0.0024) q[6];\nry(-0.0034) q[7];\nry(0.0022) q[8];\nry(-0.0028) q[9];\nry(-0.0024) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.6142) q[0];\nry(0.002) q[1];\nry(0.0021) q[2];\nry(0.0018) q[3];\nry(0.0022) q[4];\nry(0.0023) q[5];\nry(0.0022) q[6];\nry(0.0019) q[7];\nry(0.0021) q[8];\nry(0.0021) q[9];\nry(0.0024) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x0) q[1];\nry(x1) q[2];\nry(x2) q[3];\nry(x3) q[4];\nry(x1) q[5];\nry(x4) q[6];\nry(x5) q[7];\nry(x6) q[8];\nry(x7) q[9];\nry(x8) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x2) q[1];\nry(x10) q[2];\nry(x1) q[3];\nry(x6) q[4];\nry(x3) q[5];\nry(x6) q[6];\nry(x0) q[7];\nry(x10) q[8];\nry(x10) q[9];\nry(x4) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"node\": 8}","{\"circuits\": [], \"gradients\": []}"]
["5bfd79024282ae69c62758a244a2de56","kclique","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}]}","{\"states\": [56, 7], \"expectation_value\": -3.1102925497721188, \"params\": [[0.0689, 0.0349, -0.0673], [-0.0819, -0.0601, 0.0109]], \"bitstrings\": [\"000111\", \"111000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.02675545658185016, 0.02755986355515251], \"optimization_time\": 6.10222053527832}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.75 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.75 * Z(5)",11,6,3,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(0.2412) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2412) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2412) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.2756) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.2756) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.2756) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.2756) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.2756) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.2756) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.2756) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.2756) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.2412) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.2756) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.2412) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.2412) q[5];\ncx q[4], q[5];\nrz(-0.0689) q[1];\nrz(-0.1033) q[0];\nrz(-0.0689) q[2];\nrz(-0.0345) q[3];\nrz(-0.0345) q[4];\nrz(-0.1033) q[5];\nh q[0];\nrz(-0.1638) q[0];\nh q[0];\nh q[1];\nrz(-0.1638) q[1];\nh q[1];\nh q[2];\nrz(-0.1638) q[2];\nh q[2];\nh q[3];\nrz(-0.1638) q[3];\nh q[3];\nh q[4];\nrz(-0.1638) q[4];\nh q[4];\nh q[5];\nrz(-0.1638) q[5];\nh q[5];\ncx q[1], q[0];\nrz(0.1222) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1222) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1222) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(0.1396) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.1396) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(0.1396) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(0.1396) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(0.1396) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.1396) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.1396) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.1396) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(0.1222) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(0.1396) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.1222) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.1222) q[5];\ncx q[4], q[5];\nrz(-0.0349) q[1];\nrz(-0.0524) q[0];\nrz(-0.0349) q[2];\nrz(-0.0175) q[3];\nrz(-0.0175) q[4];\nrz(-0.0524) q[5];\nh q[0];\nrz(-0.1202) q[0];\nh q[0];\nh q[1];\nrz(-0.1202) q[1];\nh q[1];\nh q[2];\nrz(-0.1202) q[2];\nh q[2];\nh q[3];\nrz(-0.1202) q[3];\nh q[3];\nh q[4];\nrz(-0.1202) q[4];\nh q[4];\nh q[5];\nrz(-0.1202) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.2355) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2355) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2355) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(-0.2692) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.2692) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.2692) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.2692) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.2692) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2692) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2692) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2692) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.2355) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.2692) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.2355) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(-0.2355) q[5];\ncx q[4], q[5];\nrz(0.0673) q[1];\nrz(0.1009) q[0];\nrz(0.0673) q[2];\nrz(0.0336) q[3];\nrz(0.0336) q[4];\nrz(0.1009) q[5];\nh q[0];\nrz(0.0218) q[0];\nh q[0];\nh q[1];\nrz(0.0218) q[1];\nh q[1];\nh q[2];\nrz(0.0218) q[2];\nh q[2];\nh q[3];\nrz(0.0218) q[3];\nh q[3];\nh q[4];\nrz(0.0218) q[4];\nh q[4];\nh q[5];\nrz(0.0218) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x1) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\nrz(x2) q[1];\nrz(x3) q[0];\nrz(x2) q[2];\nrz(x4) q[3];\nrz(x4) q[4];\nrz(x3) q[5];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x6) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x6) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x6) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x7) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x7) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x7) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x7) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x7) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x7) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x7) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x6) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x7) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x6) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x6) q[5];\ncx q[4], q[5];\nrz(x8) q[1];\nrz(x9) q[0];\nrz(x8) q[2];\nrz(x10) q[3];\nrz(x10) q[4];\nrz(x9) q[5];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x12) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x12) q[2];\ncx q[0], q[2];\ncx q[1], q[3];\nrz(x13) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x13) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x13) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x13) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x13) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x13) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x13) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x13) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x12) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x13) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x12) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x12) q[5];\ncx q[4], q[5];\nrz(x14) q[1];\nrz(x15) q[0];\nrz(x14) q[2];\nrz(x16) q[3];\nrz(x16) q[4];\nrz(x15) q[5];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"k\": 3}","{\"circuits\": [], \"gradients\": []}"]
["668f90355fba57bcb4fb60386433c90f","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 3}, {\"weight\": 15, \"source\": 0, \"target\": 7}, {\"weight\": 4, \"source\": 1, \"target\": 4}, {\"weight\": 17, \"source\": 1, \"target\": 6}, {\"weight\": 19, \"source\": 1, \"target\": 3}, {\"weight\": 9, \"source\": 2, \"target\": 5}, {\"weight\": 17, \"source\": 2, \"target\": 7}, {\"weight\": 18, \"source\": 2, \"target\": 6}]}","{\"states\": [106, 107], \"expectation_value\": -26.952698639577534, \"params\": null, \"bitstrings\": [\"10010101\", \"10010100\"], \"total_optimization_steps\": 100, \"probabilities\": [0.062152393794066674, 0.2689894451535224], \"optimization_time\": 140.5009515285492}","4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-58.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -53.5, \"smallest_bitstrings\": [\"10010100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[2];\nry(6.6475) q[4];\nry(63.0918) q[7];\nry(4.3338) q[6];\ncry(32.9752) q[4], q[7];\ncry(-2.9224) q[7], q[4];\ncry(28.3989) q[7], q[2];\ncry(0.0014) q[2], q[4];\ncry(0.7192) q[5], q[4];\ncry(0.6558) q[1], q[4];\ncry(0.0831) q[0], q[4];\ncry(15.572) q[2], q[7];\nry(11.8888) q[5];\nry(-0.271) q[1];\ncry(0.1858) q[2], q[1];\ncry(-2.2579) q[3], q[7];\ncry(0.848) q[4], q[5];\ncry(0.9318) q[2], q[5];\ncry(0.8063) q[5], q[1];\ncry(-0.639) q[1], q[2];\ncry(-0.2617) q[5], q[2];\ncry(1.1607) q[4], q[2];\ncry(1.3109) q[3], q[4];\ncry(0.2743) q[4], q[1];\ncry(-0.4891) q[1], q[5];\ncry(1.3504) q[0], q[5];\ncry(-1.1805) q[5], q[7];\ncry(1.0628) q[0], q[2];\ncry(-1.8129) q[7], q[3];\ncry(-0.0014) q[1], q[7];\ncry(-0.9829) q[0], q[7];\ncry(-3.814) q[2], q[6];\ncry(1.2317) q[5], q[6];\ncry(0.806) q[6], q[1];\ncry(0.6397) q[5], q[3];\ncry(0.4846) q[6], q[4];\ncry(-1.7426) q[5], q[0];\ncry(-2.5259) q[7], q[5];\ncry(0.7449) q[6], q[7];\ncry(-1.0099) q[1], q[6];\ncry(-0.2046) q[4], q[6];\ncry(1.198) q[7], q[6];\nry(0.8443) q[0];\ncry(0.7047) q[0], q[6];\ncry(-0.7548) q[2], q[0];\ncry(0.4852) q[6], q[2];\ncry(-0.6915) q[3], q[2];\ncry(0.5771) q[7], q[0];\ncry(-0.3989) q[1], q[0];\ncry(0.5814) q[3], q[6];\ncry(0.3011) q[3], q[1];\ncry(0.3051) q[6], q[5];\ncry(0.3713) q[3], q[0];\ncry(-0.1726) q[6], q[0];\ncry(0.1663) q[4], q[0];\ncry(-0.0818) q[4], q[3];\ncry(-0.7232) q[0], q[3];\ncry(0.1342) q[1], q[3];\nry(-0.1131) q[3];\ncry(0.095) q[2], q[3];\ncry(-0.0668) q[6], q[3];\ncry(-0.0514) q[7], q[1];\ncry(0.165) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}",{"$cut":{"chars":138099,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nry(6.6475) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nry(6.6475) q[4];\\nry(63.0918) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nry(6.6475) q[4];\\nry(63.0918) q[7];\\nry(4.3338) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nry(6.6475) q[4];\\nry(63.0918) q[7];\\nry(4.3338) q[6];\\ncry(32.9752) q[4], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nry(6.6475) q[4];\\nry(63.0918) q[7];\\nry(4.3338) q[6];\\ncry(32.9752) q[4], q[7];\\ncry(-2.9224) q[7], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nry(6.6475) q[4];\\nry(63.0918) q[7];\\nry(4.3338) q[6];\\ncry(32.9752) q[4], q[7];\\ncry(-2.9224) q[7], q[4];\\ncry(28.3989) q[7], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nry(6.6475) q[4];\\nry(63.0918) q[7];\\nry(4.3338) q[6];\\ncry(32.9752) q[4], q[7];\\ncry(-2.9224) q[7], q[4];\\ncry(28.3989) q[7], q[2];\\ncry(0.0014) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nry(6.6475) q[4];\\nry(63.0918) q[7];\\nry(4.3338) q[6];\\ncry(32.9752) q[4], q[7];\\ncry(-2.9224) q[7], q[4];\\ncry(28.3989) q[7], q[2];\\ncry(0.0014) q[2], q[4];\\ncry(0.7192) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(22.4081) q[2];\\nry(6.6475) q[4];\\nry(63.0918) q[7];\\nry(4.3338) q[6];\\ncry(32.9752) q[4], q[7];\\ncry(-2.9224) q[7], q[4];\\ncry(28.3989)"}}]
["b5b49a6fced492fe8fd91e1e7f682614","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [23, 31], \"expectation_value\": -7.940629603543955, \"params\": null, \"bitstrings\": [\"101000\", \"100000\"], \"total_optimization_steps\": 69, \"probabilities\": [0.1668764748661772, 0.28795337291662976], \"optimization_time\": 64.71637749671936}","-2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0)",1,6,1,"{\"smallest_eigenvalues\": [-24.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -23.0, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[4], q[5];\ncry(1.5709) q[5], q[2];\ncry(0.5729) q[5], q[1];\ncry(0.4318) q[2], q[3];\ncry(-0.3283) q[2], q[1];\ncry(0.478) q[4], q[1];\ncry(0.1542) q[5], q[3];\ncry(0.3014) q[2], q[4];\ncry(-0.2991) q[3], q[1];\nry(-0.1214) q[1];\nry(0.9707) q[3];\ncry(1.2757) q[0], q[1];\ncry(0.4663) q[5], q[4];\nry(-0.6639) q[4];\ncry(0.0163) q[3], q[4];\ncry(0.6742) q[1], q[4];\ncry(0.4116) q[0], q[4];\ncry(-1.2911) q[1], q[5];\ncry(-0.0619) q[2], q[5];\nry(-0.0362) q[5];\ncry(0.0142) q[3], q[5];\ncry(1.6048) q[0], q[5];\nry(-1.1985) q[0];\nry(1.6045) q[2];\ncry(-0.0064) q[4], q[2];\ncry(-0.0605) q[3], q[2];\ncry(-0.0895) q[1], q[2];\ncry(-1.4919) q[0], q[2];\ncry(0.1175) q[1], q[3];\ncry(-0.0833) q[4], q[3];\ncry(-0.3955) q[1], q[0];\ncry(0.0836) q[3], q[0];\ncry(-0.1378) q[5], q[0];\ncry(-0.0515) q[0], q[3];\ncry(0.0563) q[4], q[0];\ncry(-0.0737) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"node\": 1}",{"$cut":{"chars":62715,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry(1.5709) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry(1.5709) q[5], q[2];\\ncry(0.5729) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry(1.5709) q[5], q[2];\\ncry(0.5729) q[5], q[1];\\ncry(0.4318) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry(1.5709) q[5], q[2];\\ncry(0.5729) q[5], q[1];\\ncry(0.4318) q[2], q[3];\\ncry(-0.3283) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry(1.5709) q[5], q[2];\\ncry(0.5729) q[5], q[1];\\ncry(0.4318) q[2], q[3];\\ncry(-0.3283) q[2], q[1];\\ncry(0.478) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry(1.5709) q[5], q[2];\\ncry(0.5729) q[5], q[1];\\ncry(0.4318) q[2], q[3];\\ncry(-0.3283) q[2], q[1];\\ncry(0.478) q[4], q[1];\\ncry(0.1542) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry(1.5709) q[5], q[2];\\ncry(0.5729) q[5], q[1];\\ncry(0.4318) q[2], q[3];\\ncry(-0.3283) q[2], q[1];\\ncry(0.478) q[4], q[1];\\ncry(0.1542) q[5], q[3];\\ncry(0.3014) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry(1.5709) q[5], q[2];\\ncry(0.5729) q[5], q[1];\\ncry(0.4318) q[2], q[3];\\ncry(-0.3283) q[2], q[1];\\ncry(0.478) q[4], q[1];\\ncry(0.1542) q[5], q[3];\\ncry(0.3014) q[2], q[4];\\ncry(-0.2991) q[3], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry(1.5709) q[5], q[2];\\ncry(0.5729) q[5], q[1];\\ncry(0.4318) q[2], q[3];\\ncry(-0.3283) q[2], q[1];\\ncry(0.478) q[4], q[1];\\ncry(0.1542) q[5], q[3];\\ncry(0.3014) q[2], q[4];\\ncry(-0.2991) q[3], q[1];\\nry(-0.1214) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\ncry(1.5708) q[4], q[5];\\ncry("}}]
["7159875581110260102","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[2, 3], [3, 7], [0, 2], [2, 7], [4, 6], [0, 3], [0, 5], [1, 4], [3, 4], [4, 7], [3, 6], [0, 4], [1, 7]]}","{\"states\": [60, 195], \"expectation_value\": -0.12530303503031764, \"params\": [[0.0743], [-0.06670000000000001]], \"bitstrings\": [\"11000011\", \"00111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004459228002696488, 0.004459228002696488], \"optimization_time\": 1.9398515224456787}","0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1)",1,8,1,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"01111100\", \"10000011\", \"11000011\", \"00111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[2];\nrz(0.0743) q[2];\ncx q[3], q[2];\ncx q[3], q[7];\nrz(0.0743) q[7];\ncx q[3], q[7];\ncx q[2], q[7];\nrz(0.0743) q[7];\ncx q[2], q[7];\ncx q[3], q[0];\nrz(0.0743) q[0];\ncx q[3], q[0];\ncx q[2], q[0];\nrz(0.0743) q[0];\ncx q[2], q[0];\ncx q[3], q[4];\nrz(0.0743) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(0.0743) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(0.0743) q[4];\ncx q[0], q[4];\ncx q[3], q[6];\nrz(0.0743) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0743) q[6];\ncx q[4], q[6];\ncx q[0], q[5];\nrz(0.0743) q[5];\ncx q[0], q[5];\ncx q[7], q[1];\nrz(0.0743) q[1];\ncx q[7], q[1];\ncx q[4], q[1];\nrz(0.0743) q[1];\ncx q[4], q[1];\nrz(0) q[3];\nrz(0) q[2];\nrz(0) q[7];\nrz(0) q[0];\nrz(0) q[4];\nrz(0) q[6];\nrz(0) q[5];\nrz(0) q[1];\nh q[0];\nrz(-0.1334) q[0];\nh q[0];\nh q[1];\nrz(-0.1334) q[1];\nh q[1];\nh q[2];\nrz(-0.1334) q[2];\nh q[2];\nh q[3];\nrz(-0.1334) q[3];\nh q[3];\nh q[4];\nrz(-0.1334) q[4];\nh q[4];\nh q[5];\nrz(-0.1334) q[5];\nh q[5];\nh q[6];\nrz(-0.1334) q[6];\nh q[6];\nh q[7];\nrz(-0.1334) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[7], q[1];\nrz(x0) q[1];\ncx q[7], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\nrz(x1) q[3];\nrz(x1) q[2];\nrz(x1) q[7];\nrz(x1) q[0];\nrz(x1) q[4];\nrz(x1) q[6];\nrz(x1) q[5];\nrz(x1) q[1];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["221461c1c54d63842e2fe9ed231c7c5e","connected_components","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 7, \"target\": 8}, {\"source\": 8, \"target\": 9}, {\"source\": 10, \"target\": 11}]}","{\"states\": [1615, 1999], \"expectation_value\": -13.269393922886293, \"params\": null, \"bitstrings\": [\"00110110000\", \"00000110000\"], \"total_optimization_steps\": 100, \"probabilities\": [0.15590533034939158, 0.4669033828038005], \"optimization_time\": 172.89022970199585}","-1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(10) + 0.5 * Z(3) + 0.5 * Z(2)",5,11,1,"{\"smallest_eigenvalues\": [-15.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.5, \"smallest_bitstrings\": [\"00000110000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[8], q[9];\nry(1.056) q[8];\ncry(1.5707) q[8], q[7];\ncry(1.5701) q[9], q[10];\ncry(0.4073) q[10], q[9];\ncry(1.5681) q[1], q[4];\nry(1.0829) q[1];\ncry(1.5701) q[4], q[0];\nry(0.3995) q[4];\nry(-1.5681) q[6];\nry(-1.5708) q[5];\ncry(1.5486) q[2], q[3];\ncry(1.2305) q[3], q[2];\ncry(0.2298) q[7], q[8];\ncry(0.2867) q[4], q[1];\nry(0.0547) q[9];\ncry(0.0932) q[1], q[0];\nry(-0.0689) q[0];\nry(-0.0624) q[7];\ncry(0.0625) q[9], q[7];\ncry(-0.0571) q[0], q[7];\nry(-0.049) q[10];\ncry(0.0621) q[8], q[10];\ncry(-0.0604) q[0], q[10];\ncry(-0.0534) q[7], q[1];\ncry(-0.0199) q[7], q[4];\ncry(0.027) q[0], q[4];\ncry(-0.0253) q[10], q[4];\ncry(-0.0117) q[7], q[9];\ncry(-0.0075) q[10], q[8];\ncry(-0.0027) q[7], q[6];\ncry(0.0212) q[0], q[1];\ncry(-0.035) q[10], q[1];\ncry(0.0202) q[7], q[10];\ncry(-0.032) q[3], q[10];\ncry(0.0193) q[10], q[7];\ncry(-0.0263) q[3], q[7];\ncry(-0.0063) q[3], q[4];\nry(0.0162) q[3];\ncry(-0.0108) q[10], q[0];\ncry(-0.0003) q[0], q[6];\ncry(-0.0023) q[0], q[9];\ncry(-0.0007) q[9], q[8];\ncry(0.0001) q[10], q[6];\ncry(-0.0001) q[1], q[6];\ncry(-0.0076) q[3], q[1];\ncry(-0.0036) q[2], q[4];\ncry(0.0071) q[1], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];",null,"{\"node\": 4}",{"$cut":{"chars":120024,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[8], q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[8], q[9];\\nry(1.056) q[8];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[8], q[9];\\nry(1.056) q[8];\\ncry(1.5707) q[8], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[8], q[9];\\nry(1.056) q[8];\\ncry(1.5707) q[8], q[7];\\ncry(1.5701) q[9], q[10];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[8], q[9];\\nry(1.056) q[8];\\ncry(1.5707) q[8], q[7];\\ncry(1.5701) q[9], q[10];\\ncry(0.4073) q[10], q[9];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[8], q[9];\\nry(1.056) q[8];\\ncry(1.5707) q[8], q[7];\\ncry(1.5701) q[9], q[10];\\ncry(0.4073) q[10], q[9];\\ncry(1.5681) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[8], q[9];\\nry(1.056) q[8];\\ncry(1.5707) q[8], q[7];\\ncry(1.5701) q[9], q[10];\\ncry(0.4073) q[10], q[9];\\ncry(1.5681) q[1], q[4];\\nry(1.0829) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\nc[9] = measure q[9];\\nc[10] = measure q[10];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[11] c;\\nqubit[11] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\nh q[9];\\nh q[10];\\ncry(1.5706) q[8], q[9];\\nry(1.056) q[8];\\ncry(1.5707) q[8], q[7];\\ncry(1.5701) q[9], q[10];\\ncry(0.4073) q[10], q[9];\\ncry(1.5681) q[1], q[4];\\nry(1.0829) q[1];\\ncry(1.5701) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = m"}}]
["ade5112df185088742e72ef2efdfacec","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 7}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}]}","{\"states\": [176, 216], \"expectation_value\": -4.101846637583554, \"params\": [[[-0.057800000000000004, 0.6592, 0.005200000000000001, 0.0018000000000000002], [-0.6823, -0.007500000000000001, 1.3383, -0.0354], [0.0697, 0.6304000000000001, -0.42900000000000005, 0.2882], [1.4933, 0.0177, 1.0248000000000002, -0.10300000000000001], [-1.0071, -0.0181, -0.5626, 0.0714], [0.0449, -0.17, -0.038, -0.1091], [-0.001, -0.9136000000000001, -0.0018000000000000002, -0.1355], [0.0024000000000000002, -0.0512, 0.0055000000000000005, 0.0046]], [[0.2326, 0.5428000000000001, 0.001, 0.004200000000000001], [1.4613, 0.5185000000000001, -0.4622, 0.0092], [1.4947000000000001, 0.0196, 1.4919, 0.004], [1.5007000000000001, 0.0146, 0.0814, 0.0049], [0.6082000000000001, -0.0663, 0.9600000000000001, 0.0029000000000000002], [-0.024900000000000002, 0.1778, 0.1154, 0.0001], [0.0038, -0.8881, 0.0038, 0.0089], [-0.0026000000000000003, 0.0064, 0.0028, 0.0031000000000000003]]], \"bitstrings\": [\"01001111\", \"00100111\"], \"total_optimization_steps\": 150, \"probabilities\": [0.37032161142020614, 0.440344963730571], \"optimization_time\": 7.417888641357422}","0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(7) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3)",11,8,2,"{\"smallest_eigenvalues\": [-4.5, -4.5, -4.5, -4.5], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"00001111\", \"01011001\", \"01001011\", \"00100111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nry(-0.0578) q[0];\nrz(0.6592) q[0];\nry(-0.6823) q[1];\nrz(-0.0075) q[1];\nry(0.0697) q[2];\nrz(0.6304) q[2];\nry(1.4933) q[3];\nrz(0.0177) q[3];\nry(-1.0071) q[4];\nrz(-0.0181) q[4];\nry(0.0449) q[5];\nrz(-0.17) q[5];\nry(-0.001) q[6];\nrz(-0.9136) q[6];\nry(0.0024) q[7];\nrz(-0.0512) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(1.3383) q[1];\nrz(-0.0354) q[1];\nry(-0.429) q[2];\nrz(0.2882) q[2];\ncx q[2], q[1];\nry(1.0248) q[3];\nrz(-0.103) q[3];\nry(-0.5626) q[4];\nrz(0.0714) q[4];\ncx q[4], q[3];\nry(-0.038) q[5];\nrz(-0.1091) q[5];\nry(-0.0018) q[6];\nrz(-0.1355) q[6];\ncx q[6], q[5];\nry(0.2326) q[0];\nrz(0.5428) q[0];\nry(1.4613) q[1];\nrz(0.5185) q[1];\nry(1.4947) q[2];\nrz(0.0196) q[2];\nry(1.5007) q[3];\nrz(0.0146) q[3];\nry(0.6082) q[4];\nrz(-0.0663) q[4];\nry(-0.0249) q[5];\nrz(0.1778) q[5];\nry(0.0038) q[6];\nrz(-0.8881) q[6];\nry(-0.0026) q[7];\nrz(0.0064) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(-0.4622) q[1];\nrz(0.0092) q[1];\nry(1.4919) q[2];\nrz(0.004) q[2];\ncx q[2], q[1];\nry(0.0814) q[3];\nrz(0.0049) q[3];\nry(0.96) q[4];\nrz(0.0029) q[4];\ncx q[4], q[3];\nry(0.1154) q[5];\nrz(0.0001) q[5];\nry(0.0038) q[6];\nrz(0.0089) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x16) q[1];\nrz(x17) q[1];\nry(x18) q[2];\nrz(x19) q[2];\ncx q[2], q[1];\nry(x20) q[3];\nrz(x21) q[3];\nry(x22) q[4];\nrz(x23) q[4];\ncx q[4], q[3];\nry(x24) q[5];\nrz(x25) q[5];\nry(x26) q[6];\nrz(x27) q[6];\ncx q[6], q[5];\nry(x28) q[0];\nrz(x29) q[0];\nry(x30) q[1];\nrz(x31) q[1];\nry(x32) q[2];\nrz(x33) q[2];\nry(x34) q[3];\nrz(x35) q[3];\nry(x36) q[4];\nrz(x37) q[4];\nry(x38) q[5];\nrz(x39) q[5];\nry(x40) q[6];\nrz(x41) q[6];\nry(x42) q[7];\nrz(x43) q[7];\ncx q[1], q[0];\ncx q[3], q[2];\ncx q[5], q[4];\ncx q[7], q[6];\nry(x44) q[1];\nrz(x45) q[1];\nry(x46) q[2];\nrz(x47) q[2];\ncx q[2], q[1];\nry(x48) q[3];\nrz(x49) q[3];\nry(x50) q[4];\nrz(x51) q[4];\ncx q[4], q[3];\nry(x52) q[5];\nrz(x53) q[5];\nry(x40) q[6];\nrz(x54) q[6];\ncx q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["a13111755f6f9029d45285fab7768b39","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 7}, {\"capacity\": 5, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 4, \"source\": 1, \"target\": 9}, {\"capacity\": 3, \"source\": 1, \"target\": 11}, {\"capacity\": 5, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 3, \"target\": 8}, {\"capacity\": 1, \"source\": 4, \"target\": 8}, {\"capacity\": 4, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 6, \"target\": 1}, {\"capacity\": 1, \"source\": 7, \"target\": 1}, {\"capacity\": 4, \"source\": 7, \"target\": 5}, {\"capacity\": 3, \"source\": 7, \"target\": 10}, {\"capacity\": 4, \"source\": 7, \"target\": 11}, {\"capacity\": 3, \"source\": 8, \"target\": 3}, {\"capacity\": 2, \"source\": 8, \"target\": 5}, {\"capacity\": 2, \"source\": 9, \"target\": 2}, {\"capacity\": 5, \"source\": 9, \"target\": 6}, {\"capacity\": 3, \"source\": 9, \"target\": 7}, {\"capacity\": 3, \"source\": 9, \"target\": 8}, {\"capacity\": 2, \"source\": 10, \"target\": 7}]}","{\"states\": [2048, 2047], \"expectation_value\": -15.62925114251074, \"params\": [[[0.0114, -0.0082], [-0.0009000000000000001, 0.0023], [0.0118, -0.0028], [0.019, -0.0031000000000000003], [0.0048000000000000004, -0.0031000000000000003], [0.0162, -0.0031000000000000003], [0.2796, -0.0031000000000000003], [0.003, -0.0031000000000000003], [0.00030000000000000003, -0.0031000000000000003], [0.0009000000000000001, -0.0027], [-0.0014, 0.0038], [1.9913, 0.015600000000000001]], [[0.015000000000000001, -1.6513], [-0.0035, 0.0022], [-0.016, 0.0022], [-0.025500000000000002, -0.0027], [-0.0108, -0.0032], [-0.0205, -0.0027], [-0.2832, 0.002], [-0.0089, -0.0027], [-0.0063, -0.0032], [-0.005200000000000001, -0.0028], [0.0125, -0.0024000000000000002], [-0.0035, 0.0218]]], \"bitstrings\": [\"011111111111\", \"100000000000\"], \"total_optimization_steps\": 290, \"probabilities\": [0.32370761389226776, 0.38037967790592814], \"optimization_time\": 39.578349113464355}","-1.0 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(9)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(7) @ Z(9)) + -1.75 * (Z(7) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(11) @ Z(9)) + -1.0 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(4)) + -1.25 * (Z(11) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.25 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(7)) + -0.75 * (Z(10) @ Z(11)) + -1.0 * (Z(5) @ Z(10)) + -0.25 * (Z(6) @ Z(10)) + -1.25 * (Z(2) @ Z(9)) + 0.75 * Z(9) + -0.25 * Z(0) + 2.25 * Z(1) + -0.5 * Z(4) + -1.0 * Z(7) + -1.25 * Z(8) + 2.25 * Z(11) + -0.5 * Z(3) + -1.25 * Z(10) + -0.5 * Z(5) + 0.25 * Z(6) + -0.25 * Z(2)",15,12,2,"{\"smallest_eigenvalues\": [-16.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.25, \"smallest_bitstrings\": [\"100000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(0.0114) q[0];\nry(-0.0009) q[1];\nry(0.0118) q[2];\nry(0.019) q[3];\nry(0.0048) q[4];\nry(0.0162) q[5];\nry(0.2796) q[6];\nry(0.003) q[7];\nry(0.0003) q[8];\nry(0.0009) q[9];\nry(-0.0014) q[10];\nry(1.9913) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0082) q[0];\nry(0.0023) q[1];\nry(-0.0028) q[2];\nry(-0.0031) q[3];\nry(-0.0031) q[4];\nry(-0.0031) q[5];\nry(-0.0031) q[6];\nry(-0.0031) q[7];\nry(-0.0031) q[8];\nry(-0.0027) q[9];\nry(0.0038) q[10];\nry(0.0156) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(0.015) q[0];\nry(-0.0035) q[1];\nry(-0.016) q[2];\nry(-0.0255) q[3];\nry(-0.0108) q[4];\nry(-0.0205) q[5];\nry(-0.2832) q[6];\nry(-0.0089) q[7];\nry(-0.0063) q[8];\nry(-0.0052) q[9];\nry(0.0125) q[10];\nry(-0.0035) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-1.6513) q[0];\nry(0.0022) q[1];\nry(0.0022) q[2];\nry(-0.0027) q[3];\nry(-0.0032) q[4];\nry(-0.0027) q[5];\nry(0.002) q[6];\nry(-0.0027) q[7];\nry(-0.0032) q[8];\nry(-0.0028) q[9];\nry(-0.0024) q[10];\nry(0.0218) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x12) q[0];\nry(x13) q[1];\nry(x14) q[2];\nry(x15) q[3];\nry(x15) q[4];\nry(x15) q[5];\nry(x15) q[6];\nry(x15) q[7];\nry(x15) q[8];\nry(x16) q[9];\nry(x17) q[10];\nry(x18) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x19) q[0];\nry(x20) q[1];\nry(x21) q[2];\nry(x22) q[3];\nry(x23) q[4];\nry(x24) q[5];\nry(x25) q[6];\nry(x26) q[7];\nry(x27) q[8];\nry(x28) q[9];\nry(x29) q[10];\nry(x20) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x30) q[0];\nry(x31) q[1];\nry(x31) q[2];\nry(x16) q[3];\nry(x32) q[4];\nry(x16) q[5];\nry(x33) q[6];\nry(x16) q[7];\nry(x32) q[8];\nry(x14) q[9];\nry(x34) q[10];\nry(x35) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["081a3ef2a02910794db9cb14b9d27e2c","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}]}","{\"states\": [9, 12], \"expectation_value\": -1.972903235061299, \"params\": null, \"bitstrings\": [\"10110\", \"10011\"], \"total_optimization_steps\": 15, \"probabilities\": [0.07435629520367526, 0.8990326070136716], \"optimization_time\": 5.93203330039978}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4)",1,5,4,"{\"smallest_eigenvalues\": [-2.0, -2.0, -2.0, -2.0, -2.0], \"number_of_smallest_eigenvalues\": 5, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"10011\", \"01101\", \"11001\", \"10110\", \"01110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) q[0];\nry(-1.4449) q[3];\nry(1.4384) q[1];\ncry(-1.0398) q[2], q[4];\nry(0.6944) q[2];\nry(-0.451) q[4];\ncry(0.4962) q[1], q[2];\ncry(-0.3778) q[1], q[4];\ncry(-0.1259) q[1], q[0];\ncry(-0.1217) q[1], q[3];\ncry(0.1121) q[2], q[1];\ncry(-0.0723) q[4], q[2];\ncry(0.03) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\ncry(0.4962) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3778) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3778) q[1], q[4];\\ncry(-0.1259) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3778) q[1], q[4];\\ncry(-0.1259) q[1], q[0];\\ncry(-0.1217) q[1], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3778) q[1], q[4];\\ncry(-0.1259) q[1], q[0];\\ncry(-0.1217) q[1], q[3];\\ncry(0.1121) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3778) q[1], q[4];\\ncry(-0.1259) q[1], q[0];\\ncry(-0.1217) q[1], q[3];\\ncry(0.1121) q[2], q[1];\\ncry(-0.0723) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3778) q[1], q[4];\\ncry(-0.1259) q[1], q[0];\\ncry(-0.1217) q[1], q[3];\\ncry(0.1121) q[2], q[1];\\ncry(-0.0723) q[4], q[2];\\ncry(0.03) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3778) q[1], q[4];\\ncry(-0.1259) q[1], q[0];\\ncry(-0.1217) q[1], q[3];\\ncry(0.1121) q[2], q[1];\\ncry(-0.0723) q[4], q[2];\\ncry(0.03) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.4449) q[0];\\nry(-1.4449) q[3];\\nry(1.4384) q[1];\\ncry(-1.0398) q[2], q[4];\\nry(0.6944) q[2];\\nry(-0.451) q[4];\\ncry(0.4962) q[1], q[2];\\ncry(-0.3778) q[1], q[4];\\ncry(-0.1259) q[1], q[0];\\ncry(-0.1217) q[1], q[3];\\ncry(0.1121) q[2], q[1];\\ncry(-0.0723) q[4], q[2];\\ncry(0.03) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.504, 0.5028, 0.4918, 0.2528, 0.2434, 0.1873, 0.2229, 0.1879, 0.1782, 0.0733, 0.0543, 0.0157, 0.0065, 0.0042, 0.0028]}"]
["0af33a976ec1c381deaa423c18839faf","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}]}","{\"states\": [85, 71], \"expectation_value\": -3.997957846825408, \"params\": null, \"bitstrings\": [\"0101010\", \"0111000\"], \"total_optimization_steps\": 35, \"probabilities\": [0.061015642347634694, 0.8720928341733933], \"optimization_time\": 28.415608167648315}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4)",1,7,1,"{\"smallest_eigenvalues\": [-4.0, -4.0, -4.0, -4.0], \"number_of_smallest_eigenvalues\": 4, \"first_excited_energy\": -3.0, \"smallest_bitstrings\": [\"0001011\", \"0101010\", \"0111000\", \"0011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nry(1.4449) q[4];\nry(1.4449) q[0];\ncry(-1.0342) q[5], q[2];\ncry(-1.0342) q[6], q[1];\nry(0.7003) q[5];\nry(0.7003) q[6];\nry(-0.4549) q[2];\ncry(0.4963) q[4], q[5];\nry(-0.4549) q[1];\ncry(0.4963) q[4], q[6];\ncry(-0.3789) q[4], q[1];\ncry(-0.3789) q[4], q[2];\ncry(0.2489) q[0], q[5];\ncry(0.2489) q[0], q[6];\ncry(-0.1488) q[0], q[1];\ncry(-0.1488) q[0], q[2];\ncry(0.1173) q[4], q[0];\ncry(0.1128) q[0], q[4];\ncry(0.0852) q[5], q[6];\ncry(0.0852) q[6], q[5];\ncry(-0.0481) q[6], q[2];\ncry(-0.0481) q[5], q[1];\ncry(0.0141) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":22934,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(1.4449) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0342) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0342) q[5], q[2];\\ncry(-1.0342) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0342) q[5], q[2];\\ncry(-1.0342) q[6], q[1];\\nry(0.7003) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0342) q[5], q[2];\\ncry(-1.0342) q[6], q[1];\\nry(0.7003) q[5];\\nry(0.7003) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0342) q[5], q[2];\\ncry(-1.0342) q[6], q[1];\\nry(0.7003) q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0342) q[5], q[2];\\ncry(-1.0342) q[6], q[1];\\nry(0.7003) q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[2];\\ncry(0.4963) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(1.4449) q[4];\\nry(1.4449) q[0];\\ncry(-1.0342) q[5], q[2];\\ncry(-1.0342) q[6], q[1];\\nry(0.7003) q[5];\\nry(0.7003) q[6];\\nry(-0.4549) q[2];\\ncry(0.4963) q[4], q[5];\\nry(-0.4549) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2"}}]
["e73f8423da86a15663c240a5147679ff","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}]}","{\"states\": [11, 138], \"expectation_value\": -5.150536923903998, \"params\": [0.7972, 0.2953, 0.8002, 0.0054, 0.7968000000000001, -0.2536, 0.7932, 0.0013000000000000002, 0.0012000000000000001, -0.2086, 0.0013000000000000002, 0.0008, -0.0082, 0.42110000000000003, -0.0123, 0.0043, 0.8062, -0.057600000000000005, 0.8087000000000001, 0.00030000000000000003, -0.0055000000000000005, 0.4353, -0.008400000000000001, 0.0031000000000000003, 0.7989, -0.2679, 0.8043, 0.0056, 0.7969, 0.27490000000000003, 0.8027000000000001, 0.0016, 0.29410000000000003, -0.4033, -0.33740000000000003, 0.1703, 0.0444, 0.21480000000000002, -0.3645, 0.3336], \"bitstrings\": [\"11110100\", \"01110101\"], \"total_optimization_steps\": 80, \"probabilities\": [0.0425963725648754, 0.04348760964779379], \"optimization_time\": 52.734699010849}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * Z(2) + -1.0 * Z(0) + -2.0 * Z(3) + -1.0 * Z(7) + -1.5 * Z(1) + -2.0 * Z(5) + -1.0 * Z(6) + 0.0 * Z(4)",5,8,1,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -5.5, \"smallest_bitstrings\": [\"01110101\", \"00110111\", \"11100110\", \"01110011\", \"11110100\", \"10110110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.7972) q[0];\nrz(0.2953) q[0];\nrx(0.7968) q[1];\nrz(-0.2536) q[1];\nrx(0.0012) q[2];\nrz(-0.2086) q[2];\nrx(-0.0082) q[3];\nrz(0.4211) q[3];\nrx(0.8062) q[4];\nrz(-0.0576) q[4];\nrx(-0.0055) q[5];\nrz(0.4353) q[5];\nrx(0.7989) q[6];\nrz(-0.2679) q[6];\nrx(0.7969) q[7];\nrz(0.2749) q[7];\ncrz(-0.3645) q[7], q[6];\ncrz(0.2148) q[7], q[5];\ncrz(0.0444) q[7], q[4];\ncrz(0.1703) q[7], q[3];\ncrz(-0.3374) q[7], q[2];\ncrz(-0.4033) q[7], q[1];\ncrz(0.2941) q[7], q[0];\ncrz(0.3336) q[6], q[7];\ncrz(0.2148) q[6], q[5];\ncrz(0.0444) q[6], q[4];\ncrz(0.1703) q[6], q[3];\ncrz(-0.3374) q[6], q[2];\ncrz(-0.4033) q[6], q[1];\ncrz(0.2941) q[6], q[0];\ncrz(0.3336) q[5], q[7];\ncrz(-0.3645) q[5], q[6];\ncrz(0.0444) q[5], q[4];\ncrz(0.1703) q[5], q[3];\ncrz(-0.3374) q[5], q[2];\ncrz(-0.4033) q[5], q[1];\ncrz(0.2941) q[5], q[0];\ncrz(0.3336) q[4], q[7];\ncrz(-0.3645) q[4], q[6];\ncrz(0.2148) q[4], q[5];\ncrz(0.1703) q[4], q[3];\ncrz(-0.3374) q[4], q[2];\ncrz(-0.4033) q[4], q[1];\ncrz(0.2941) q[4], q[0];\ncrz(0.3336) q[3], q[7];\ncrz(-0.3645) q[3], q[6];\ncrz(0.2148) q[3], q[5];\ncrz(0.0444) q[3], q[4];\ncrz(-0.3374) q[3], q[2];\ncrz(-0.4033) q[3], q[1];\ncrz(0.2941) q[3], q[0];\ncrz(0.3336) q[2], q[7];\ncrz(-0.3645) q[2], q[6];\ncrz(0.2148) q[2], q[5];\ncrz(0.0444) q[2], q[4];\ncrz(0.1703) q[2], q[3];\ncrz(-0.4033) q[2], q[1];\ncrz(0.2941) q[2], q[0];\ncrz(0.3336) q[1], q[7];\ncrz(-0.3645) q[1], q[6];\ncrz(0.2148) q[1], q[5];\ncrz(0.0444) q[1], q[4];\ncrz(0.1703) q[1], q[3];\ncrz(-0.3374) q[1], q[2];\ncrz(0.2941) q[1], q[0];\ncrz(0.3336) q[0], q[7];\ncrz(-0.3645) q[0], q[6];\ncrz(0.2148) q[0], q[5];\ncrz(0.0444) q[0], q[4];\ncrz(0.1703) q[0], q[3];\ncrz(-0.3374) q[0], q[2];\ncrz(-0.4033) q[0], q[1];\nrx(0.8002) q[0];\nrz(0.0054) q[0];\nrx(0.7932) q[1];\nrz(0.0013) q[1];\nrx(0.0013) q[2];\nrz(0.0008) q[2];\nrx(-0.0123) q[3];\nrz(0.0043) q[3];\nrx(0.8087) q[4];\nrz(0.0003) q[4];\nrx(-0.0084) q[5];\nrz(0.0031) q[5];\nrx(0.8043) q[6];\nrz(0.0056) q[6];\nrx(0.8027) q[7];\nrz(0.0016) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\ncrz(x16) q[7], q[6];\ncrz(x17) q[7], q[5];\ncrz(x18) q[7], q[4];\ncrz(x19) q[7], q[3];\ncrz(x20) q[7], q[2];\ncrz(x21) q[7], q[1];\ncrz(x22) q[7], q[0];\ncrz(x23) q[6], q[7];\ncrz(x17) q[6], q[5];\ncrz(x18) q[6], q[4];\ncrz(x19) q[6], q[3];\ncrz(x20) q[6], q[2];\ncrz(x21) q[6], q[1];\ncrz(x22) q[6], q[0];\ncrz(x23) q[5], q[7];\ncrz(x16) q[5], q[6];\ncrz(x18) q[5], q[4];\ncrz(x19) q[5], q[3];\ncrz(x20) q[5], q[2];\ncrz(x21) q[5], q[1];\ncrz(x22) q[5], q[0];\ncrz(x23) q[4], q[7];\ncrz(x16) q[4], q[6];\ncrz(x17) q[4], q[5];\ncrz(x19) q[4], q[3];\ncrz(x20) q[4], q[2];\ncrz(x21) q[4], q[1];\ncrz(x22) q[4], q[0];\ncrz(x23) q[3], q[7];\ncrz(x16) q[3], q[6];\ncrz(x17) q[3], q[5];\ncrz(x18) q[3], q[4];\ncrz(x20) q[3], q[2];\ncrz(x21) q[3], q[1];\ncrz(x22) q[3], q[0];\ncrz(x23) q[2], q[7];\ncrz(x16) q[2], q[6];\ncrz(x17) q[2], q[5];\ncrz(x18) q[2], q[4];\ncrz(x19) q[2], q[3];\ncrz(x21) q[2], q[1];\ncrz(x22) q[2], q[0];\ncrz(x23) q[1], q[7];\ncrz(x16) q[1], q[6];\ncrz(x17) q[1], q[5];\ncrz(x18) q[1], q[4];\ncrz(x19) q[1], q[3];\ncrz(x20) q[1], q[2];\ncrz(x22) q[1], q[0];\ncrz(x23) q[0], q[7];\ncrz(x16) q[0], q[6];\ncrz(x17) q[0], q[5];\ncrz(x18) q[0], q[4];\ncrz(x19) q[0], q[3];\ncrz(x20) q[0], q[2];\ncrz(x21) q[0], q[1];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["-7938295873252713390","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[3, 4, 5], [0, 4, 5], [2, 4, 5], [3, 6], [0, 3, 4], [1, 3], [0, 8, 6], [8, 4], [8, 5], [5, 7], [6, 7], [0, 3, 7], [8, 2, 6], [2, 3, 4], [8, 3], [0, 1, 5], [1, 2, 7]]}","{\"states\": [355, 364], \"expectation_value\": -0.7723925346902127, \"params\": [[0.15910000000000002], [-0.14830000000000002]], \"bitstrings\": [\"010011100\", \"010010011\"], \"total_optimization_steps\": 20, \"probabilities\": [0.0036484709507140817, 0.0036485281763578713], \"optimization_time\": 1.3866839408874512}","0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.8333333333333333 * Z(4) + 0.6666666666666665 * Z(3) + 0.6666666666666667 * Z(5) + 0.8333333333333337 * Z(0) + 0.6666666666666666 * Z(2) + 0.33333333333333326 * Z(6) + 0.33333333333333326 * Z(1) + 0.3333333333333337 * Z(8) + 0.33333333333333326 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-4.500000000000001], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"010010011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[3];\nrz(0.1591) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(0.1591) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(0.053) q[5];\ncx q[3], q[5];\ncx q[4], q[0];\nrz(0.1061) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(0.1061) q[0];\ncx q[3], q[0];\ncx q[5], q[0];\nrz(0.1061) q[0];\ncx q[5], q[0];\ncx q[4], q[2];\nrz(0.1061) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(0.053) q[2];\ncx q[3], q[2];\ncx q[5], q[2];\nrz(0.053) q[2];\ncx q[5], q[2];\ncx q[3], q[6];\nrz(0.1591) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(0.053) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.053) q[6];\ncx q[2], q[6];\ncx q[3], q[1];\nrz(0.1591) q[1];\ncx q[3], q[1];\ncx q[5], q[1];\nrz(0.053) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(0.053) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(0.053) q[1];\ncx q[2], q[1];\ncx q[4], q[8];\nrz(0.1591) q[8];\ncx q[4], q[8];\ncx q[3], q[8];\nrz(0.1591) q[8];\ncx q[3], q[8];\ncx q[5], q[8];\nrz(0.1591) q[8];\ncx q[5], q[8];\ncx q[0], q[8];\nrz(0.053) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(0.053) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(0.1061) q[8];\ncx q[6], q[8];\ncx q[3], q[7];\nrz(0.053) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(0.1591) q[7];\ncx q[5], q[7];\ncx q[0], q[7];\nrz(0.053) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.053) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(0.1591) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(0.053) q[7];\ncx q[1], q[7];\nrz(0.2652) q[4];\nrz(0.2121) q[3];\nrz(0.2121) q[5];\nrz(0.2652) q[0];\nrz(0.2121) q[2];\nrz(0.1061) q[6];\nrz(0.1061) q[1];\nrz(0.1061) q[8];\nrz(0.1061) q[7];\nh q[0];\nrz(-0.2966) q[0];\nh q[0];\nh q[1];\nrz(-0.2966) q[1];\nh q[1];\nh q[2];\nrz(-0.2966) q[2];\nh q[2];\nh q[3];\nrz(-0.2966) q[3];\nh q[3];\nh q[4];\nrz(-0.2966) q[4];\nh q[4];\nh q[5];\nrz(-0.2966) q[5];\nh q[5];\nh q[6];\nrz(-0.2966) q[6];\nh q[6];\nh q[7];\nrz(-0.2966) q[7];\nh q[7];\nh q[8];\nrz(-0.2966) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[5];\nrz(x1) q[5];\ncx q[3], q[5];\ncx q[4], q[0];\nrz(x2) q[0];\ncx q[4], q[0];\ncx q[3], q[0];\nrz(x2) q[0];\ncx q[3], q[0];\ncx q[5], q[0];\nrz(x2) q[0];\ncx q[5], q[0];\ncx q[4], q[2];\nrz(x2) q[2];\ncx q[4], q[2];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[5], q[2];\nrz(x1) q[2];\ncx q[5], q[2];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[5], q[1];\nrz(x1) q[1];\ncx q[5], q[1];\ncx q[0], q[1];\nrz(x1) q[1];\ncx q[0], q[1];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[4], q[8];\nrz(x0) q[8];\ncx q[4], q[8];\ncx q[3], q[8];\nrz(x0) q[8];\ncx q[3], q[8];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[0], q[8];\nrz(x1) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(x1) q[8];\ncx q[2], q[8];\ncx q[6], q[8];\nrz(x2) q[8];\ncx q[6], q[8];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x1) q[7];\ncx q[2], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\nrz(x3) q[4];\nrz(x4) q[3];\nrz(x4) q[5];\nrz(x3) q[0];\nrz(x4) q[2];\nrz(x2) q[6];\nrz(x2) q[1];\nrz(x2) q[8];\nrz(x2) q[7];\nh q[0];\nrz(x5) q[0];\nh q[0];\nh q[1];\nrz(x5) q[1];\nh q[1];\nh q[2];\nrz(x5) q[2];\nh q[2];\nh q[3];\nrz(x5) q[3];\nh q[3];\nh q[4];\nrz(x5) q[4];\nh q[4];\nh q[5];\nrz(x5) q[5];\nh q[5];\nh q[6];\nrz(x5) q[6];\nh q[6];\nh q[7];\nrz(x5) q[7];\nh q[7];\nh q[8];\nrz(x5) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["8f570f960f63671d4142917816c3a15b","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}]}","{\"states\": [172, 428], \"expectation_value\": -3.049010468305855, \"params\": [[[0.4777, 0.0011, 0.003, 0.0007], [0.1368, 0.0021000000000000003, 0.5751000000000001, 0.0041], [0.0049, 0.2661, 0.005200000000000001, 0.26880000000000004], [0.2953, 0.0015, 0.2914, 0.0033], [0.029400000000000003, 0.0665, 0.0033, 0.0654], [0.0819, -0.0829, 0.0818, 0.0058000000000000005], [0.5728, -0.0034000000000000002, 0.0099, 0.0005], [-0.005200000000000001, 0.4466, -0.0014, 0.0079], [0.00030000000000000003, 0.5159, 0.0088, 0.0054]], [[0.5809000000000001, 0.0022, 0.006200000000000001, 0.0015], [0.5721, 0.0056, 0.019700000000000002, 0.002], [-0.0008, 0.32170000000000004, 0.0029000000000000002, 0.3209], [0.303, -0.004200000000000001, 0.2963, 0.0012000000000000001], [-0.1578, 0.0589, 0.0047, 0.0587], [0.5982000000000001, -0.023200000000000002, 0.5926, 0.007], [0.7061000000000001, -0.0974, 0.0074, -0.0978], [-0.003, 0.5036, -0.0058000000000000005, 0.0024000000000000002], [-0.0076, 0.5151, 0.0049, 0.0024000000000000002]], [[-0.16570000000000001, 0.001, 0.0048000000000000004, 0.0064], [0.0198, 0.0007, 0.4395, 0.0048000000000000004], [0.0022, 0.227, 0.0046, 0.2335], [0.2795, -0.0049, 0.2805, 0.0009000000000000001], [0.43520000000000003, 0.0077, 0.0079, 0.0118], [0.0181, -0.0014, 0.0081, 0.006], [-0.1978, 0.0913, 0.0044, 0.0922], [-0.0041, 0.5168, 0.0028, 0.0074], [-0.0009000000000000001, 0.5224, 0.0055000000000000005, 0.0092]], [[0.6876, 0.0024000000000000002, 0.0064, 0.008700000000000001], [0.4373, 0.08850000000000001, 0.030500000000000003, 0.0045000000000000005], [-0.0044, 0.0088, 0.009300000000000001, 0.006500000000000001], [0.1852, 0.0188, 0.182, 0.0074], [0.6367, 0.0051, 0.01, 0.0027], [0.4681, -0.0379, 0.4476, 0.0026000000000000003], [0.7025, 0.0076, 0.0054, 0.0085], [-0.0031000000000000003, 0.3037, -0.0036000000000000003, 0.004], [-0.0022, 0.006500000000000001, 0.0012000000000000001, 0.0091]]], \"bitstrings\": [\"101010011\", \"001010011\"], \"total_optimization_steps\": 70, \"probabilities\": [0.23293486836814656, 0.3615916756571224], \"optimization_time\": 16.21092963218689}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(3) @ Z(7)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(8)) + -0.125 * (Z(6) @ Z(1) @ Z(4)) + -0.125 * (Z(1) @ Z(4) @ Z(8)) + -0.125 * (Z(6) @ Z(1) @ Z(8)) + -0.125 * (Z(6) @ Z(4) @ Z(8)) + 0.125 * (Z(6) @ Z(1) @ Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.125 * Z(0) + 0.125 * Z(1) + -0.25 * Z(2) + 0.125 * Z(3) + 0.25 * Z(4) + -0.125 * Z(5) + 0.125 * Z(6) + -0.75 * Z(7) + -0.625 * Z(8)",12,9,4,"{\"smallest_eigenvalues\": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"001100011\", \"100001011\", \"101000011\", \"010001011\", \"001010011\", \"001001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.4777) q[0];\nrz(0.0011) q[0];\nry(0.1368) q[1];\nrz(0.0021) q[1];\nry(0.0049) q[2];\nrz(0.2661) q[2];\nry(0.2953) q[3];\nrz(0.0015) q[3];\nry(0.0294) q[4];\nrz(0.0665) q[4];\nry(0.0819) q[5];\nrz(-0.0829) q[5];\nry(0.5728) q[6];\nrz(-0.0034) q[6];\nry(-0.0052) q[7];\nrz(0.4466) q[7];\nry(0.0003) q[8];\nrz(0.5159) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(0.5751) q[1];\nry(0.5751) q[1];\nrz(0.2688) q[2];\nrz(0.2688) q[2];\ncz q[2], q[1];\nry(0.2914) q[3];\nry(0.2914) q[3];\nrz(0.0654) q[4];\nrz(0.0654) q[4];\ncz q[4], q[3];\nry(0.0818) q[5];\nry(0.0818) q[5];\nrz(0.0005) q[6];\nrz(0.0005) q[6];\ncz q[6], q[5];\nry(-0.0014) q[7];\nry(-0.0014) q[7];\ncz q[8], q[7];\nry(0.5809) q[0];\nrz(0.0022) q[0];\nry(0.5721) q[1];\nrz(0.0056) q[1];\nry(-0.0008) q[2];\nrz(0.3217) q[2];\nry(0.303) q[3];\nrz(-0.0042) q[3];\nry(-0.1578) q[4];\nrz(0.0589) q[4];\nry(0.5982) q[5];\nrz(-0.0232) q[5];\nry(0.7061) q[6];\nrz(-0.0974) q[6];\nry(-0.003) q[7];\nrz(0.5036) q[7];\nry(-0.0076) q[8];\nrz(0.5151) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(0.0197) q[1];\nry(0.0197) q[1];\nrz(0.3209) q[2];\nrz(0.3209) q[2];\ncz q[2], q[1];\nry(0.2963) q[3];\nry(0.2963) q[3];\nrz(0.0587) q[4];\nrz(0.0587) q[4];\ncz q[4], q[3];\nry(0.5926) q[5];\nry(0.5926) q[5];\nrz(-0.0978) q[6];\nrz(-0.0978) q[6];\ncz q[6], q[5];\nry(-0.0058) q[7];\nry(-0.0058) q[7];\ncz q[8], q[7];\nry(-0.1657) q[0];\nrz(0.001) q[0];\nry(0.0198) q[1];\nrz(0.0007) q[1];\nry(0.0022) q[2];\nrz(0.227) q[2];\nry(0.2795) q[3];\nrz(-0.0049) q[3];\nry(0.4352) q[4];\nrz(0.0077) q[4];\nry(0.0181) q[5];\nrz(-0.0014) q[5];\nry(-0.1978) q[6];\nrz(0.0913) q[6];\nry(-0.0041) q[7];\nrz(0.5168) q[7];\nry(-0.0009) q[8];\nrz(0.5224) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(0.4395) q[1];\nry(0.4395) q[1];\nrz(0.2335) q[2];\nrz(0.2335) q[2];\ncz q[2], q[1];\nry(0.2805) q[3];\nry(0.2805) q[3];\nrz(0.0118) q[4];\nrz(0.0118) q[4];\ncz q[4], q[3];\nry(0.0081) q[5];\nry(0.0081) q[5];\nrz(0.0922) q[6];\nrz(0.0922) q[6];\ncz q[6], q[5];\nry(0.0028) q[7];\nry(0.0028) q[7];\ncz q[8], q[7];\nry(0.6876) q[0];\nrz(0.0024) q[0];\nry(0.4373) q[1];\nrz(0.0885) q[1];\nry(-0.0044) q[2];\nrz(0.0088) q[2];\nry(0.1852) q[3];\nrz(0.0188) q[3];\nry(0.6367) q[4];\nrz(0.0051) q[4];\nry(0.4681) q[5];\nrz(-0.0379) q[5];\nry(0.7025) q[6];\nrz(0.0076) q[6];\nry(-0.0031) q[7];\nrz(0.3037) q[7];\nry(-0.0022) q[8];\nrz(0.0065) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(0.0305) q[1];\nry(0.0305) q[1];\nrz(0.0065) q[2];\nrz(0.0065) q[2];\ncz q[2], q[1];\nry(0.182) q[3];\nry(0.182) q[3];\nrz(0.0027) q[4];\nrz(0.0027) q[4];\ncz q[4], q[3];\nry(0.4476) q[5];\nry(0.4476) q[5];\nrz(0.0085) q[6];\nrz(0.0085) q[6];\ncz q[6], q[5];\nry(-0.0036) q[7];\nry(-0.0036) q[7];\ncz q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(x18) q[1];\nry(x18) q[1];\nrz(x19) q[2];\nrz(x19) q[2];\ncz q[2], q[1];\nry(x20) q[3];\nry(x20) q[3];\nrz(x21) q[4];\nrz(x21) q[4];\ncz q[4], q[3];\nry(x22) q[5];\nry(x22) q[5];\nrz(x23) q[6];\nrz(x23) q[6];\ncz q[6], q[5];\nry(x24) q[7];\nry(x24) q[7];\ncz q[8], q[7];\nry(x25) q[0];\nrz(x26) q[0];\nry(x27) q[1];\nrz(x28) q[1];\nry(x29) q[2];\nrz(x30) q[2];\nry(x31) q[3];\nrz(x32) q[3];\nry(x33) q[4];\nrz(x34) q[4];\nry(x35) q[5];\nrz(x36) q[5];\nry(x37) q[6];\nrz(x38) q[6];\nry(x39) q[7];\nrz(x40) q[7];\nry(x41) q[8];\nrz(x42) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(x43) q[1];\nry(x43) q[1];\nrz(x44) q[2];\nrz(x44) q[2];\ncz q[2], q[1];\nry(x45) q[3];\nry(x45) q[3];\nrz(x46) q[4];\nrz(x46) q[4];\ncz q[4], q[3];\nry(x47) q[5];\nry(x47) q[5];\nrz(x48) q[6];\nrz(x48) q[6];\ncz q[6], q[5];\nry(x49) q[7];\nry(x49) q[7];\ncz q[8], q[7];\nry(x50) q[0];\nrz(x51) q[0];\nry(x52) q[1];\nrz(x53) q[1];\nry(x26) q[2];\nrz(x54) q[2];\nry(x55) q[3];\nrz(x56) q[3];\nry(x57) q[4];\nrz(x58) q[4];\nry(x59) q[5];\nrz(x24) q[5];\nry(x60) q[6];\nrz(x61) q[6];\nry(x62) q[7];\nrz(x63) q[7];\nry(x64) q[8];\nrz(x65) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(x66) q[1];\nry(x66) q[1];\nrz(x67) q[2];\nrz(x67) q[2];\ncz q[2], q[1];\nry(x68) q[3];\nry(x68) q[3];\nrz(x69) q[4];\nrz(x69) q[4];\ncz q[4], q[3];\nry(x70) q[5];\nry(x70) q[5];\nrz(x71) q[6];\nrz(x71) q[6];\ncz q[6], q[5];\nry(x72) q[7];\nry(x72) q[7];\ncz q[8], q[7];\nry(x73) q[0];\nrz(x74) q[0];\nry(x75) q[1];\nrz(x76) q[1];\nry(x77) q[2];\nrz(x78) q[2];\nry(x79) q[3];\nrz(x80) q[3];\nry(x81) q[4];\nrz(x82) q[4];\nry(x83) q[5];\nrz(x84) q[5];\nry(x85) q[6];\nrz(x86) q[6];\nry(x87) q[7];\nrz(x88) q[7];\nry(x89) q[8];\nrz(x90) q[8];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\nry(x91) q[1];\nry(x91) q[1];\nrz(x90) q[2];\nrz(x90) q[2];\ncz q[2], q[1];\nry(x92) q[3];\nry(x92) q[3];\nrz(x93) q[4];\nrz(x93) q[4];\ncz q[4], q[3];\nry(x94) q[5];\nry(x94) q[5];\nrz(x95) q[6];\nrz(x95) q[6];\ncz q[6], q[5];\nry(x96) q[7];\nry(x96) q[7];\ncz q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["1d86b79e795dcdc762321344dd74195c","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 8}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 6}, {\"source\": 1, \"target\": 8}, {\"source\": 1, \"target\": 9}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 9}, {\"source\": 4, \"target\": 8}, {\"source\": 4, \"target\": 9}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}, {\"source\": 8, \"target\": 9}]}","{\"states\": [880, 816], \"expectation_value\": -9.373172609126158, \"params\": [0.9064000000000001, 0.0012000000000000001, 0.9053, 0.006500000000000001, 0.8622000000000001, 0.0023, 0.8565, 0.0039000000000000003, -0.0036000000000000003, 0.37970000000000004, -0.00030000000000000003, 0.01, 0.7240000000000001, 0.24500000000000002, 0.7232000000000001, 0.0082, 0.9121, -0.0013000000000000002, 0.9124, 0.008, 0.9045000000000001, -0.0013000000000000002, 0.9074000000000001, 0.0045000000000000005, 0.0032, 0.5541, 0.0031000000000000003, 0.0067, -0.004200000000000001, 0.4818, -0.0055000000000000005, 0.0064, 0.0017000000000000001, 0.5536, 0.0017000000000000001, 0.0054, -0.004, 0.5238, -0.004200000000000001, 0.0038, 0.00030000000000000003, 0.0076, 0.3648, 0.0098, 0.0013000000000000002, 0.008, 0.1705, 0.007200000000000001, -0.1311, 0.0079], \"bitstrings\": [\"0010001111\", \"0011001111\"], \"total_optimization_steps\": 90, \"probabilities\": [0.060276551900515105, 0.07735700664115738], \"optimization_time\": 22.493622541427612}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(6) + -3.0 * Z(8) + -2.0 * Z(1) + -1.5 * Z(3) + -2.5 * Z(9) + -1.0 * Z(4) + -2.5 * Z(7) + -1.5 * Z(5)",7,10,1,"{\"smallest_eigenvalues\": [-11.0, -11.0, -11.0], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -10.0, \"smallest_bitstrings\": [\"0011001111\", \"0110001111\", \"0011011011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.9064) q[0];\nrz(0.0012) q[0];\nrx(0.8622) q[1];\nrz(0.0023) q[1];\nrx(-0.0036) q[2];\nrz(0.3797) q[2];\nrx(0.724) q[3];\nrz(0.245) q[3];\nrx(0.9121) q[4];\nrz(-0.0013) q[4];\nrx(0.9045) q[5];\nrz(-0.0013) q[5];\nrx(0.0032) q[6];\nrz(0.5541) q[6];\nrx(-0.0042) q[7];\nrz(0.4818) q[7];\nrx(0.0017) q[8];\nrz(0.5536) q[8];\nrx(-0.004) q[9];\nrz(0.5238) q[9];\ncrz(0.0003) q[1], q[0];\ncrz(0.3648) q[3], q[2];\ncrz(0.0013) q[5], q[4];\ncrz(0.1705) q[7], q[6];\ncrz(-0.1311) q[9], q[8];\nrx(0.9053) q[0];\nrz(0.0065) q[0];\nrx(0.8565) q[1];\nrz(0.0039) q[1];\nrx(-0.0003) q[2];\nrz(0.01) q[2];\nrx(0.7232) q[3];\nrz(0.0082) q[3];\nrx(0.9124) q[4];\nrz(0.008) q[4];\nrx(0.9074) q[5];\nrz(0.0045) q[5];\nrx(0.0031) q[6];\nrz(0.0067) q[6];\nrx(-0.0055) q[7];\nrz(0.0064) q[7];\nrx(0.0017) q[8];\nrz(0.0054) q[8];\nrx(-0.0042) q[9];\nrz(0.0038) q[9];\ncrz(0.0076) q[2], q[1];\ncrz(0.0098) q[4], q[3];\ncrz(0.008) q[6], q[5];\ncrz(0.0072) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x9) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x18) q[9];\ncrz(x19) q[1], q[0];\ncrz(x20) q[3], q[2];\ncrz(x21) q[5], q[4];\ncrz(x22) q[7], q[6];\ncrz(x23) q[9], q[8];\nrx(x24) q[0];\nrz(x25) q[0];\nrx(x26) q[1];\nrz(x27) q[1];\nrx(x28) q[2];\nrz(x29) q[2];\nrx(x30) q[3];\nrz(x31) q[3];\nrx(x32) q[4];\nrz(x33) q[4];\nrx(x34) q[5];\nrz(x35) q[5];\nrx(x36) q[6];\nrz(x37) q[6];\nrx(x38) q[7];\nrz(x39) q[7];\nrx(x15) q[8];\nrz(x40) q[8];\nrx(x13) q[9];\nrz(x41) q[9];\ncrz(x42) q[2], q[1];\ncrz(x43) q[4], q[3];\ncrz(x33) q[6], q[5];\ncrz(x44) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["9f16651ff069e7e4b10d7e6e3ea493cf","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 2, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 7}]}","{\"states\": [128, 127], \"expectation_value\": -0.05552501641259116, \"params\": [[-0.0417], [0.052700000000000004]], \"bitstrings\": [\"01111111\", \"10000000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004163634416544264, 0.004202195348920225], \"optimization_time\": 2.0134620666503906}","-0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * Z(1) + 0.0 * Z(2) + 0.5 * Z(4) + 0.0 * Z(5)",1,8,1,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"10000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(0.0209) q[0];\ncx q[3], q[0];\ncx q[3], q[6];\nrz(0.0417) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(0.0209) q[6];\ncx q[0], q[6];\ncx q[0], q[7];\nrz(-0.0625) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.0417) q[7];\ncx q[6], q[7];\ncx q[6], q[1];\nrz(0.0625) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(0.0209) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(0.0209) q[2];\ncx q[1], q[2];\ncx q[7], q[4];\nrz(0.0417) q[4];\ncx q[7], q[4];\ncx q[6], q[5];\nrz(0.0417) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(0.0417) q[5];\ncx q[7], q[5];\nrz(0) q[3];\nrz(0.0209) q[0];\nrz(0) q[6];\nrz(0.0625) q[7];\nrz(-0.0417) q[1];\nrz(0) q[2];\nrz(-0.0417) q[4];\nrz(0) q[5];\nh q[0];\nrz(0.1054) q[0];\nh q[0];\nh q[1];\nrz(0.1054) q[1];\nh q[1];\nh q[2];\nrz(0.1054) q[2];\nh q[2];\nh q[3];\nrz(0.1054) q[3];\nh q[3];\nh q[4];\nrz(0.1054) q[4];\nh q[4];\nh q[5];\nrz(0.1054) q[5];\nh q[5];\nh q[6];\nrz(0.1054) q[6];\nh q[6];\nh q[7];\nrz(0.1054) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[6];\nrz(x1) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[0], q[7];\nrz(x2) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[6], q[1];\nrz(x3) q[1];\ncx q[6], q[1];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[7], q[4];\nrz(x1) q[4];\ncx q[7], q[4];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\nrz(x4) q[3];\nrz(x0) q[0];\nrz(x4) q[6];\nrz(x3) q[7];\nrz(x5) q[1];\nrz(x4) q[2];\nrz(x5) q[4];\nrz(x4) q[5];\nh q[0];\nrz(x6) q[0];\nh q[0];\nh q[1];\nrz(x6) q[1];\nh q[1];\nh q[2];\nrz(x6) q[2];\nh q[2];\nh q[3];\nrz(x6) q[3];\nh q[3];\nh q[4];\nrz(x6) q[4];\nh q[4];\nh q[5];\nrz(x6) q[5];\nh q[5];\nh q[6];\nrz(x6) q[6];\nh q[6];\nh q[7];\nrz(x6) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["58fa04385078dcdc0b5f9361c481400a","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [5, 24], \"expectation_value\": -1.0811596425505232, \"params\": [[-0.0806, -0.0729, -0.0736], [0.0796, 0.07300000000000001, 0.0724]], \"bitstrings\": [\"11010\", \"00111\"], \"total_optimization_steps\": 10, \"probabilities\": [0.05658968525417161, 0.05658968525417163], \"optimization_time\": 3.771538257598877}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1)",1,5,3,"{\"smallest_eigenvalues\": [-3.5, -3.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"11010\", \"00111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[2], q[0];\nrz(-0.0806) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(-0.0806) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0806) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(-0.0806) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0806) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(-0.0806) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(-0.0806) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.0806) q[1];\ncx q[4], q[1];\nrz(0.1612) q[2];\nrz(0.1612) q[0];\nrz(0.2418) q[3];\nrz(0.1612) q[4];\nrz(0.1612) q[1];\nh q[0];\nrz(0.1592) q[0];\nh q[0];\nh q[1];\nrz(0.1592) q[1];\nh q[1];\nh q[2];\nrz(0.1592) q[2];\nh q[2];\nh q[3];\nrz(0.1592) q[3];\nh q[3];\nh q[4];\nrz(0.1592) q[4];\nh q[4];\ncx q[2], q[0];\nrz(-0.0729) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(-0.0729) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0729) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(-0.0729) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0729) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(-0.0729) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(-0.0729) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.0729) q[1];\ncx q[4], q[1];\nrz(0.1458) q[2];\nrz(0.1458) q[0];\nrz(0.2187) q[3];\nrz(0.1458) q[4];\nrz(0.1458) q[1];\nh q[0];\nrz(0.146) q[0];\nh q[0];\nh q[1];\nrz(0.146) q[1];\nh q[1];\nh q[2];\nrz(0.146) q[2];\nh q[2];\nh q[3];\nrz(0.146) q[3];\nh q[3];\nh q[4];\nrz(0.146) q[4];\nh q[4];\ncx q[2], q[0];\nrz(-0.0736) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(-0.0736) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(-0.0736) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(-0.0736) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(-0.0736) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(-0.0736) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(-0.0736) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(-0.0736) q[1];\ncx q[4], q[1];\nrz(0.1472) q[2];\nrz(0.1472) q[0];\nrz(0.2208) q[3];\nrz(0.1472) q[4];\nrz(0.1472) q[1];\nh q[0];\nrz(0.1448) q[0];\nh q[0];\nh q[1];\nrz(0.1448) q[1];\nh q[1];\nh q[2];\nrz(0.1448) q[2];\nh q[2];\nh q[3];\nrz(0.1448) q[3];\nh q[3];\nh q[4];\nrz(0.1448) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(x0) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x1) q[4];\nrz(x1) q[1];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\ncx q[2], q[0];\nrz(x4) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x4) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x4) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x4) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(x4) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x4) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x4) q[1];\ncx q[4], q[1];\nrz(x5) q[2];\nrz(x5) q[0];\nrz(x6) q[3];\nrz(x5) q[4];\nrz(x5) q[1];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\ncx q[2], q[0];\nrz(x8) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x8) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x8) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x8) q[4];\ncx q[3], q[4];\ncx q[2], q[1];\nrz(x8) q[1];\ncx q[2], q[1];\ncx q[3], q[1];\nrz(x8) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x8) q[1];\ncx q[4], q[1];\nrz(x9) q[2];\nrz(x9) q[0];\nrz(x10) q[3];\nrz(x9) q[4];\nrz(x9) q[1];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"circuits\": [], \"gradients\": []}"]
["79ecc4847db5af37782a1c862369b0e5","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}, {\"source\": 6, \"target\": 7}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}]}","{\"states\": [0, 511], \"expectation_value\": -9.016274159999671, \"params\": [0.08420000000000001, 2.0306, 0.6246, 0.0053, 0.7669, 0.6056, -0.763, 0.0098, -0.8541000000000001, 0.9578000000000001, 0.217, 0.0077, -0.8721, 1.5485, -0.6281, 0.0067, -0.8483, 1.5714000000000001, -0.061000000000000006, 0.0044, -0.8498, 1.8813000000000002, -0.129, 0.0051, -0.8664000000000001, 2.0296000000000003, -0.443, 0.0006000000000000001, -0.8546, 1.9539000000000002, -0.21730000000000002, 0.0067, 0.6715, 1.8514000000000002, -0.139, 0.0037, 0.33940000000000003, 1.9108, 0.3231, 0.0036000000000000003, 1.6431, 1.3904, -0.9514, -0.5810000000000001, -0.8126, -0.7829, -0.6414000000000001, -0.6898000000000001, 0.8673000000000001, 0.753], \"bitstrings\": [\"1111111111\", \"1000000000\"], \"total_optimization_steps\": 290, \"probabilities\": [0.16031163119060604, 0.24927737393454655], \"optimization_time\": 38.6176643371582}","-2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(1) + -0.5 * Z(0)",6,10,1,"{\"smallest_eigenvalues\": [-15.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -14.0, \"smallest_bitstrings\": [\"1000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.0842) q[0];\nrz(2.0306) q[0];\nrx(0.7669) q[1];\nrz(0.6056) q[1];\nrx(-0.8541) q[2];\nrz(0.9578) q[2];\nrx(-0.8721) q[3];\nrz(1.5485) q[3];\nrx(-0.8483) q[4];\nrz(1.5714) q[4];\nrx(-0.8498) q[5];\nrz(1.8813) q[5];\nrx(-0.8664) q[6];\nrz(2.0296) q[6];\nrx(-0.8546) q[7];\nrz(1.9539) q[7];\nrx(0.6715) q[8];\nrz(1.8514) q[8];\nrx(0.3394) q[9];\nrz(1.9108) q[9];\ncrx(0.8673) q[9], q[8];\ncrx(-0.6898) q[9], q[7];\ncrx(-0.6414) q[9], q[6];\ncrx(-0.7829) q[9], q[5];\ncrx(-0.8126) q[9], q[4];\ncrx(-0.581) q[9], q[3];\ncrx(-0.9514) q[9], q[2];\ncrx(1.3904) q[9], q[1];\ncrx(1.6431) q[9], q[0];\ncrx(0.753) q[8], q[9];\ncrx(-0.6898) q[8], q[7];\ncrx(-0.6414) q[8], q[6];\ncrx(-0.7829) q[8], q[5];\ncrx(-0.8126) q[8], q[4];\ncrx(-0.581) q[8], q[3];\ncrx(-0.9514) q[8], q[2];\ncrx(1.3904) q[8], q[1];\ncrx(1.6431) q[8], q[0];\ncrx(0.753) q[7], q[9];\ncrx(0.8673) q[7], q[8];\ncrx(-0.6414) q[7], q[6];\ncrx(-0.7829) q[7], q[5];\ncrx(-0.8126) q[7], q[4];\ncrx(-0.581) q[7], q[3];\ncrx(-0.9514) q[7], q[2];\ncrx(1.3904) q[7], q[1];\ncrx(1.6431) q[7], q[0];\ncrx(0.753) q[6], q[9];\ncrx(0.8673) q[6], q[8];\ncrx(-0.6898) q[6], q[7];\ncrx(-0.7829) q[6], q[5];\ncrx(-0.8126) q[6], q[4];\ncrx(-0.581) q[6], q[3];\ncrx(-0.9514) q[6], q[2];\ncrx(1.3904) q[6], q[1];\ncrx(1.6431) q[6], q[0];\ncrx(0.753) q[5], q[9];\ncrx(0.8673) q[5], q[8];\ncrx(-0.6898) q[5], q[7];\ncrx(-0.6414) q[5], q[6];\ncrx(-0.8126) q[5], q[4];\ncrx(-0.581) q[5], q[3];\ncrx(-0.9514) q[5], q[2];\ncrx(1.3904) q[5], q[1];\ncrx(1.6431) q[5], q[0];\ncrx(0.753) q[4], q[9];\ncrx(0.8673) q[4], q[8];\ncrx(-0.6898) q[4], q[7];\ncrx(-0.6414) q[4], q[6];\ncrx(-0.7829) q[4], q[5];\ncrx(-0.581) q[4], q[3];\ncrx(-0.9514) q[4], q[2];\ncrx(1.3904) q[4], q[1];\ncrx(1.6431) q[4], q[0];\ncrx(0.753) q[3], q[9];\ncrx(0.8673) q[3], q[8];\ncrx(-0.6898) q[3], q[7];\ncrx(-0.6414) q[3], q[6];\ncrx(-0.7829) q[3], q[5];\ncrx(-0.8126) q[3], q[4];\ncrx(-0.9514) q[3], q[2];\ncrx(1.3904) q[3], q[1];\ncrx(1.6431) q[3], q[0];\ncrx(0.753) q[2], q[9];\ncrx(0.8673) q[2], q[8];\ncrx(-0.6898) q[2], q[7];\ncrx(-0.6414) q[2], q[6];\ncrx(-0.7829) q[2], q[5];\ncrx(-0.8126) q[2], q[4];\ncrx(-0.581) q[2], q[3];\ncrx(1.3904) q[2], q[1];\ncrx(1.6431) q[2], q[0];\ncrx(0.753) q[1], q[9];\ncrx(0.8673) q[1], q[8];\ncrx(-0.6898) q[1], q[7];\ncrx(-0.6414) q[1], q[6];\ncrx(-0.7829) q[1], q[5];\ncrx(-0.8126) q[1], q[4];\ncrx(-0.581) q[1], q[3];\ncrx(-0.9514) q[1], q[2];\ncrx(1.6431) q[1], q[0];\ncrx(0.753) q[0], q[9];\ncrx(0.8673) q[0], q[8];\ncrx(-0.6898) q[0], q[7];\ncrx(-0.6414) q[0], q[6];\ncrx(-0.7829) q[0], q[5];\ncrx(-0.8126) q[0], q[4];\ncrx(-0.581) q[0], q[3];\ncrx(-0.9514) q[0], q[2];\ncrx(1.3904) q[0], q[1];\nrx(0.6246) q[0];\nrz(0.0053) q[0];\nrx(-0.763) q[1];\nrz(0.0098) q[1];\nrx(0.217) q[2];\nrz(0.0077) q[2];\nrx(-0.6281) q[3];\nrz(0.0067) q[3];\nrx(-0.061) q[4];\nrz(0.0044) q[4];\nrx(-0.129) q[5];\nrz(0.0051) q[5];\nrx(-0.443) q[6];\nrz(0.0006) q[6];\nrx(-0.2173) q[7];\nrz(0.0067) q[7];\nrx(-0.139) q[8];\nrz(0.0037) q[8];\nrx(0.3231) q[9];\nrz(0.0036) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x37) q[7];\nrx(x45) q[8];\nrz(x46) q[8];\nrx(x47) q[9];\nrz(x48) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 1}","{\"circuits\": [], \"gradients\": []}"]
["d8a61d0444d65913cca281ef9173c238","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 6}, {\"source\": 6, \"target\": 7}]}","{\"states\": [282, 283], \"expectation_value\": -5.3301102300498515, \"params\": [[1.1801000000000001, -0.1565, 0.0009000000000000001, -0.0041, 1.3024, 1.243, 0.002, 1.1727, 0.5924], [0.6903, 0.0732, 0.0034000000000000002, -0.0009000000000000001, 0.4431, -0.3533, 0.002, 0.6922, -0.1221], [1.2974, 0.1454, 0.005200000000000001, -0.005200000000000001, 1.2992000000000001, 1.3032000000000001, 0.0017000000000000001, 1.2974, 1.2731000000000001]], \"bitstrings\": [\"011100101\", \"011100100\"], \"total_optimization_steps\": 130, \"probabilities\": [0.38180638708680265, 0.42782554114836896], \"optimization_time\": 14.283393621444702}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(8) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(7)",10,9,2,"{\"smallest_eigenvalues\": [-6.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -5.0, \"smallest_bitstrings\": [\"011100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(1.1801) q[0];\nry(-0.1565) q[1];\nry(0.0009) q[2];\nry(-0.0041) q[3];\nry(1.3024) q[4];\nry(1.243) q[5];\nry(0.002) q[6];\nry(1.1727) q[7];\nry(0.5924) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(0.6903) q[0];\nry(0.0732) q[1];\nry(0.0034) q[2];\nry(-0.0009) q[3];\nry(0.4431) q[4];\nry(-0.3533) q[5];\nry(0.002) q[6];\nry(0.6922) q[7];\nry(-0.1221) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(1.2974) q[0];\nry(0.1454) q[1];\nry(0.0052) q[2];\nry(-0.0052) q[3];\nry(1.2992) q[4];\nry(1.3032) q[5];\nry(0.0017) q[6];\nry(1.2974) q[7];\nry(1.2731) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x6) q[6];\nry(x15) q[7];\nry(x16) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x17) q[0];\nry(x18) q[1];\nry(x19) q[2];\nry(x20) q[3];\nry(x21) q[4];\nry(x22) q[5];\nry(x23) q[6];\nry(x17) q[7];\nry(x24) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["328993d2980617c82c46cb44ba49e574","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 4}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 4, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 5, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 7}, {\"capacity\": 4, \"source\": 2, \"target\": 10}, {\"capacity\": 5, \"source\": 2, \"target\": 11}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 9}, {\"capacity\": 4, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 5, \"source\": 4, \"target\": 11}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 5, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 3}, {\"capacity\": 6, \"source\": 5, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 8}, {\"capacity\": 5, \"source\": 5, \"target\": 9}, {\"capacity\": 3, \"source\": 6, \"target\": 1}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 2, \"source\": 6, \"target\": 8}, {\"capacity\": 5, \"source\": 7, \"target\": 2}, {\"capacity\": 6, \"source\": 7, \"target\": 6}, {\"capacity\": 4, \"source\": 7, \"target\": 8}, {\"capacity\": 2, \"source\": 7, \"target\": 9}, {\"capacity\": 2, \"source\": 7, \"target\": 11}, {\"capacity\": 4, \"source\": 8, \"target\": 1}, {\"capacity\": 6, \"source\": 8, \"target\": 10}, {\"capacity\": 6, \"source\": 9, \"target\": 1}, {\"capacity\": 5, \"source\": 9, \"target\": 5}, {\"capacity\": 6, \"source\": 9, \"target\": 8}, {\"capacity\": 3, \"source\": 9, \"target\": 11}, {\"capacity\": 1, \"source\": 10, \"target\": 4}, {\"capacity\": 3, \"source\": 10, \"target\": 7}]}","{\"states\": [2048, 2047], \"expectation_value\": -33.031327548575966, \"params\": [[[-0.0018000000000000002, -0.0035], [-0.0018000000000000002, -0.0034000000000000002], [0.0015, -0.002], [0.002, -0.0029000000000000002], [0.0007, -0.0032], [0.005200000000000001, -0.0024000000000000002], [0.0009000000000000001, -0.0024000000000000002], [-0.0057, -0.0024000000000000002], [-0.0048000000000000004, 0.0021000000000000003], [0.0011, -0.0022], [-0.0068000000000000005, 0.0031000000000000003], [1.6522000000000001, -0.0054]], [[-0.0008, 1.6182], [-0.0034000000000000002, -0.0018000000000000002], [-0.0074, -0.003], [-0.0066, -0.0024000000000000002], [-0.0049, 0.0018000000000000002], [-0.0012000000000000001, -0.0018000000000000002], [-0.0053, -0.0018000000000000002], [0.0023, 0.0018000000000000002], [-0.0004, -0.0026000000000000003], [-0.0066, -0.0028], [0.0051, -0.0027], [0.002, -0.0014]]], \"bitstrings\": [\"011111111111\", \"100000000000\"], \"total_optimization_steps\": 170, \"probabilities\": [0.2574937770291798, 0.28313073477713796], \"optimization_time\": 24.33483648300171}","-0.5 * (Z(0) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(4)) + -2.0 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(8)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(9)) + -1.25 * (Z(3) @ Z(6)) + 0.75 * (Z(3) @ Z(0)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(9)) + -1.5 * (Z(11) @ Z(1)) + -1.5 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(9)) + -0.75 * (Z(11) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -2.5 * (Z(7) @ Z(11)) + -1.0 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(8)) + -1.0 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(11)) + -0.5 * (Z(10) @ Z(7)) + 0.25 * Z(6) + -0.25 * Z(0) + -2.75 * Z(1) + -0.25 * Z(5) + 2.0 * Z(4) + -3.0 * Z(8) + 3.25 * Z(9) + -1.5 * Z(2) + -3.0 * Z(3) + 1.75 * Z(11) + 4.5 * Z(7) + -1.0 * Z(10)",15,12,2,"{\"smallest_eigenvalues\": [-33.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -32.75, \"smallest_bitstrings\": [\"100000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.0018) q[0];\nry(-0.0018) q[1];\nry(0.0015) q[2];\nry(0.002) q[3];\nry(0.0007) q[4];\nry(0.0052) q[5];\nry(0.0009) q[6];\nry(-0.0057) q[7];\nry(-0.0048) q[8];\nry(0.0011) q[9];\nry(-0.0068) q[10];\nry(1.6522) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0035) q[0];\nry(-0.0034) q[1];\nry(-0.002) q[2];\nry(-0.0029) q[3];\nry(-0.0032) q[4];\nry(-0.0024) q[5];\nry(-0.0024) q[6];\nry(-0.0024) q[7];\nry(0.0021) q[8];\nry(-0.0022) q[9];\nry(0.0031) q[10];\nry(-0.0054) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(-0.0008) q[0];\nry(-0.0034) q[1];\nry(-0.0074) q[2];\nry(-0.0066) q[3];\nry(-0.0049) q[4];\nry(-0.0012) q[5];\nry(-0.0053) q[6];\nry(0.0023) q[7];\nry(-0.0004) q[8];\nry(-0.0066) q[9];\nry(0.0051) q[10];\nry(0.002) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(1.6182) q[0];\nry(-0.0018) q[1];\nry(-0.003) q[2];\nry(-0.0024) q[3];\nry(0.0018) q[4];\nry(-0.0018) q[5];\nry(-0.0018) q[6];\nry(0.0018) q[7];\nry(-0.0026) q[8];\nry(-0.0028) q[9];\nry(-0.0027) q[10];\nry(-0.0014) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x0) q[1];\nry(x1) q[2];\nry(x2) q[3];\nry(x3) q[4];\nry(x4) q[5];\nry(x5) q[6];\nry(x6) q[7];\nry(x7) q[8];\nry(x8) q[9];\nry(x9) q[10];\nry(x10) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x13) q[2];\nry(x14) q[3];\nry(x15) q[4];\nry(x16) q[5];\nry(x16) q[6];\nry(x16) q[7];\nry(x17) q[8];\nry(x18) q[9];\nry(x19) q[10];\nry(x20) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nry(x21) q[0];\nry(x12) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x23) q[9];\nry(x29) q[10];\nry(x2) q[11];\ncx q[11], q[0];\ncx q[10], q[11];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x30) q[0];\nry(x0) q[1];\nry(x31) q[2];\nry(x16) q[3];\nry(x32) q[4];\nry(x0) q[5];\nry(x0) q[6];\nry(x32) q[7];\nry(x33) q[8];\nry(x34) q[9];\nry(x35) q[10];\nry(x36) q[11];\ncx q[11], q[10];\ncx q[0], q[11];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\ncx q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["1482f4f5abcf5f1c29a93218e5aedf4b","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 3, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 4}, {\"capacity\": 4, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 6, \"target\": 3}, {\"capacity\": 4, \"source\": 6, \"target\": 7}]}","{\"states\": [39, 3], \"expectation_value\": -0.07971844825212775, \"params\": [[0.013800000000000002, -0.0369], [-0.0297, 0.033600000000000005]], \"bitstrings\": [\"11011000\", \"11111100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004132392606260573, 0.004151625091724233], \"optimization_time\": 2.66802716255188}","-0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6)",1,8,2,"{\"smallest_eigenvalues\": [-7.75, -7.75, -7.75], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -5.75, \"smallest_bitstrings\": [\"11011000\", \"11111000\", \"11111100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.0138) q[0];\ncx q[1], q[0];\ncx q[0], q[7];\nrz(0.0207) q[7];\ncx q[0], q[7];\ncx q[1], q[3];\nrz(-0.0138) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(-0.0414) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(-0.0069) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(-0.0069) q[2];\ncx q[4], q[2];\ncx q[2], q[5];\nrz(-0.0276) q[5];\ncx q[2], q[5];\ncx q[7], q[6];\nrz(-0.0276) q[6];\ncx q[7], q[6];\ncx q[3], q[6];\nrz(-0.0138) q[6];\ncx q[3], q[6];\nrz(-0.0138) q[1];\nrz(-0.0069) q[0];\nrz(-0.0069) q[7];\nrz(-0.0345) q[3];\nrz(0.0069) q[4];\nrz(-0.0138) q[2];\nrz(0.0276) q[5];\nrz(0.0414) q[6];\nh q[0];\nrz(-0.0594) q[0];\nh q[0];\nh q[1];\nrz(-0.0594) q[1];\nh q[1];\nh q[2];\nrz(-0.0594) q[2];\nh q[2];\nh q[3];\nrz(-0.0594) q[3];\nh q[3];\nh q[4];\nrz(-0.0594) q[4];\nh q[4];\nh q[5];\nrz(-0.0594) q[5];\nh q[5];\nh q[6];\nrz(-0.0594) q[6];\nh q[6];\nh q[7];\nrz(-0.0594) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0369) q[0];\ncx q[1], q[0];\ncx q[0], q[7];\nrz(-0.0554) q[7];\ncx q[0], q[7];\ncx q[1], q[3];\nrz(0.0369) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(0.1107) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(0.0185) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(0.0185) q[2];\ncx q[4], q[2];\ncx q[2], q[5];\nrz(0.0738) q[5];\ncx q[2], q[5];\ncx q[7], q[6];\nrz(0.0738) q[6];\ncx q[7], q[6];\ncx q[3], q[6];\nrz(0.0369) q[6];\ncx q[3], q[6];\nrz(0.0369) q[1];\nrz(0.0185) q[0];\nrz(0.0185) q[7];\nrz(0.0922) q[3];\nrz(-0.0185) q[4];\nrz(0.0369) q[2];\nrz(-0.0738) q[5];\nrz(-0.1107) q[6];\nh q[0];\nrz(0.0672) q[0];\nh q[0];\nh q[1];\nrz(0.0672) q[1];\nh q[1];\nh q[2];\nrz(0.0672) q[2];\nh q[2];\nh q[3];\nrz(0.0672) q[3];\nh q[3];\nh q[4];\nrz(0.0672) q[4];\nh q[4];\nh q[5];\nrz(0.0672) q[5];\nh q[5];\nh q[6];\nrz(0.0672) q[6];\nh q[6];\nh q[7];\nrz(0.0672) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(x3) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x3) q[2];\ncx q[4], q[2];\ncx q[2], q[5];\nrz(x4) q[5];\ncx q[2], q[5];\ncx q[7], q[6];\nrz(x4) q[6];\ncx q[7], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\nrz(x0) q[1];\nrz(x3) q[0];\nrz(x3) q[7];\nrz(x5) q[3];\nrz(x6) q[4];\nrz(x0) q[2];\nrz(x7) q[5];\nrz(x8) q[6];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[0], q[7];\nrz(x11) q[7];\ncx q[0], q[7];\ncx q[1], q[3];\nrz(x10) q[3];\ncx q[1], q[3];\ncx q[1], q[4];\nrz(x12) q[4];\ncx q[1], q[4];\ncx q[3], q[2];\nrz(x13) q[2];\ncx q[3], q[2];\ncx q[4], q[2];\nrz(x13) q[2];\ncx q[4], q[2];\ncx q[2], q[5];\nrz(x14) q[5];\ncx q[2], q[5];\ncx q[7], q[6];\nrz(x14) q[6];\ncx q[7], q[6];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\nrz(x10) q[1];\nrz(x13) q[0];\nrz(x13) q[7];\nrz(x15) q[3];\nrz(x16) q[4];\nrz(x10) q[2];\nrz(x17) q[5];\nrz(x18) q[6];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["4037180058226994189","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[10, 11, 5, 6], [8, 11, 4, 6], [4, 5], [0, 8, 5, 6], [1, 6, 8, 9, 10], [0, 4, 7, 8, 10], [2, 3, 4, 7], [2, 3, 5], [2, 4, 7, 8, 11], [3, 4, 6, 10, 11], [10, 3, 5], [8, 11, 5], [9, 11], [0, 8, 2]]}","{\"states\": [894, 638], \"expectation_value\": -3.57515821832101, \"params\": [-0.0022, 1.1640000000000001, -0.0027, 1.8409, 3.1412, -0.0006000000000000001, 1.5697, 0.3551, -0.0027, -1.3771, 2.2444, 0.0024000000000000002, 2.3537, 0.0027, 2.4393000000000002, 0.0027, 2.7419000000000002, -0.0028, 2.9933, 0.0022, 3.1399000000000004, -0.643, 0.0027, 0.006900000000000001, -0.0037, -0.0026000000000000003, -0.0018000000000000002, -0.9935, -0.0027, 0.8917, 0.7823, 0.6966, 0.3946, 0.1535, -1.0242], \"bitstrings\": [\"110010000001\", \"110110000001\"], \"total_optimization_steps\": 400, \"probabilities\": [0.49941251319375457, 0.5005367684276081], \"optimization_time\": 53.18519353866577}","0.13333333333333333 * (Z(10) @ Z(11)) + 0.25 * (Z(5) @ Z(11)) + 0.25 * (Z(5) @ Z(10)) + 0.21666666666666667 * (Z(6) @ Z(11)) + 0.18333333333333335 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3 * (Z(8) @ Z(11)) + 0.1 * (Z(8) @ Z(10)) + 0.25 * (Z(8) @ Z(5)) + 0.21666666666666667 * (Z(8) @ Z(6)) + 0.18333333333333335 * (Z(4) @ Z(11)) + 0.1 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(5)) + 0.13333333333333333 * (Z(4) @ Z(6)) + 0.18333333333333335 * (Z(4) @ Z(8)) + 0.05 * (Z(0) @ Z(10)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.3 * (Z(0) @ Z(8)) + 0.05 * (Z(0) @ Z(4)) + 0.05 * (Z(1) @ Z(10)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(8)) + 0.5 * (Z(9) @ Z(11)) + 0.05 * (Z(9) @ Z(10)) + 0.05 * (Z(9) @ Z(6)) + 0.05 * (Z(9) @ Z(8)) + 0.05 * (Z(9) @ Z(1)) + 0.05 * (Z(7) @ Z(11)) + 0.05 * (Z(7) @ Z(10)) + 0.1 * (Z(7) @ Z(8)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(2) @ Z(11)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.21666666666666667 * (Z(2) @ Z(8)) + 0.13333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(2) @ Z(7)) + 0.05 * (Z(3) @ Z(11)) + 0.21666666666666667 * (Z(3) @ Z(10)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.05 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(2)) + 0.6166666666666667 * Z(11) + 0.5916666666666669 * Z(10) + 0.7499999999999998 * Z(5) + 0.5750000000000002 * Z(6) + 0.8833333333333339 * Z(8) + 0.55 * Z(4) + 0.39166666666666666 * Z(0) + 0.1 * Z(1) + 0.1000000000000002 * Z(9) + 0.325 * Z(7) + 0.5583333333333335 * Z(2) + 0.5583333333333335 * Z(3)",4,12,1,"{\"smallest_eigenvalues\": [-3.7666666666666675], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.716666666666667, \"smallest_bitstrings\": [\"110110000001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(-0.0022) q[0];\nrz(1.164) q[0];\nrx(-0.0027) q[1];\nrz(1.8409) q[1];\nrx(3.1412) q[2];\nrz(-0.0006) q[2];\nrx(1.5697) q[3];\nrz(0.3551) q[3];\nrx(-0.0027) q[4];\nrz(-1.3771) q[4];\nrx(2.2444) q[5];\nrz(0.0024) q[5];\nrx(2.3537) q[6];\nrz(0.0027) q[6];\nrx(2.4393) q[7];\nrz(0.0027) q[7];\nrx(2.7419) q[8];\nrz(-0.0028) q[8];\nrx(2.9933) q[9];\nrz(0.0022) q[9];\nrx(3.1399) q[10];\nrz(-0.643) q[10];\nrx(0.0027) q[11];\nrz(0.0069) q[11];\ncrx(-1.0242) q[11], q[10];\ncrx(0.1535) q[10], q[9];\ncrx(0.3946) q[9], q[8];\ncrx(0.6966) q[8], q[7];\ncrx(0.7823) q[7], q[6];\ncrx(0.8917) q[6], q[5];\ncrx(-0.0027) q[5], q[4];\ncrx(-0.9935) q[4], q[3];\ncrx(-0.0018) q[3], q[2];\ncrx(-0.0026) q[2], q[1];\ncrx(-0.0037) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x2) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x12) q[7];\nrx(x14) q[8];\nrz(x15) q[8];\nrx(x16) q[9];\nrz(x17) q[9];\nrx(x18) q[10];\nrz(x19) q[10];\nrx(x12) q[11];\nrz(x20) q[11];\ncrx(x21) q[11], q[10];\ncrx(x22) q[10], q[9];\ncrx(x23) q[9], q[8];\ncrx(x24) q[8], q[7];\ncrx(x25) q[7], q[6];\ncrx(x26) q[6], q[5];\ncrx(x2) q[5], q[4];\ncrx(x27) q[4], q[3];\ncrx(x28) q[3], q[2];\ncrx(x29) q[2], q[1];\ncrx(x30) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["d2be47e29eae50ce45c4510347a77d7f","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 6, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 5, \"source\": 1, \"target\": 3}, {\"capacity\": 6, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 7}, {\"capacity\": 5, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 7}, {\"capacity\": 7, \"source\": 3, \"target\": 2}, {\"capacity\": 7, \"source\": 3, \"target\": 8}, {\"capacity\": 5, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 6, \"source\": 4, \"target\": 3}, {\"capacity\": 4, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 1, \"source\": 4, \"target\": 8}, {\"capacity\": 7, \"source\": 5, \"target\": 3}, {\"capacity\": 3, \"source\": 5, \"target\": 8}, {\"capacity\": 6, \"source\": 6, \"target\": 2}, {\"capacity\": 3, \"source\": 6, \"target\": 3}, {\"capacity\": 6, \"source\": 6, \"target\": 4}, {\"capacity\": 3, \"source\": 6, \"target\": 5}, {\"capacity\": 4, \"source\": 7, \"target\": 3}, {\"capacity\": 2, \"source\": 7, \"target\": 4}]}","{\"states\": [256, 255], \"expectation_value\": -23.70457732172402, \"params\": [[[-0.015300000000000001, -0.0055000000000000005], [-0.004200000000000001, 0.066], [-0.0037, -0.003], [-0.0035, 0.0027], [0.0011, -0.0031000000000000003], [-0.005200000000000001, 0.003], [-0.0021000000000000003, -0.0027], [-1.3764, 0.001], [0.4479, -0.0108]], [[-0.004, 0.0031000000000000003], [-0.004200000000000001, -0.004], [-0.0039000000000000003, -0.0031000000000000003], [-0.0047, -0.0025], [0.0044, -0.002], [-0.0, -0.0017000000000000001], [-0.001, -0.0068000000000000005], [-0.010700000000000001, -0.26930000000000004], [-1.3768, -0.003]], [[0.0106, -1.4854], [0.0024000000000000002, 0.4803], [0.0009000000000000001, 0.0037], [0.0005, -0.0028], [0.0025, 0.0032], [-0.0018000000000000002, -0.003], [-0.0016, 0.0027], [-0.36710000000000004, 0.0028], [-0.0013000000000000002, 0.0178]]], \"bitstrings\": [\"011111111\", \"100000000\"], \"total_optimization_steps\": 150, \"probabilities\": [0.4096955195735114, 0.45698292895614623], \"optimization_time\": 14.65221118927002}","-1.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(7)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 2.75 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -5.0 * Z(3) + -0.25 * Z(2) + -0.75 * Z(5) + 0.25 * Z(7) + 2.25 * Z(4) + 3.25 * Z(6) + 0.0 * Z(8)",15,9,3,"{\"smallest_eigenvalues\": [-24.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -23.25, \"smallest_bitstrings\": [\"100000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(-0.0153) q[0];\nry(-0.0042) q[1];\nry(-0.0037) q[2];\nry(-0.0035) q[3];\nry(0.0011) q[4];\nry(-0.0052) q[5];\nry(-0.0021) q[6];\nry(-1.3764) q[7];\nry(0.4479) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0055) q[0];\nry(0.066) q[1];\nry(-0.003) q[2];\nry(0.0027) q[3];\nry(-0.0031) q[4];\nry(0.003) q[5];\nry(-0.0027) q[6];\nry(0.001) q[7];\nry(-0.0108) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(-0.004) q[0];\nry(-0.0042) q[1];\nry(-0.0039) q[2];\nry(-0.0047) q[3];\nry(0.0044) q[4];\nry(0) q[5];\nry(-0.001) q[6];\nry(-0.0107) q[7];\nry(-1.3768) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0031) q[0];\nry(-0.004) q[1];\nry(-0.0031) q[2];\nry(-0.0025) q[3];\nry(-0.002) q[4];\nry(-0.0017) q[5];\nry(-0.0068) q[6];\nry(-0.2693) q[7];\nry(-0.003) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(0.0106) q[0];\nry(0.0024) q[1];\nry(0.0009) q[2];\nry(0.0005) q[3];\nry(0.0025) q[4];\nry(-0.0018) q[5];\nry(-0.0016) q[6];\nry(-0.3671) q[7];\nry(-0.0013) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-1.4854) q[0];\nry(0.4803) q[1];\nry(0.0037) q[2];\nry(-0.0028) q[3];\nry(0.0032) q[4];\nry(-0.003) q[5];\nry(0.0027) q[6];\nry(0.0028) q[7];\nry(0.0178) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x18) q[0];\nry(x1) q[1];\nry(x19) q[2];\nry(x20) q[3];\nry(x21) q[4];\nry(x22) q[5];\nry(x23) q[6];\nry(x24) q[7];\nry(x25) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x26) q[0];\nry(x18) q[1];\nry(x13) q[2];\nry(x27) q[3];\nry(x28) q[4];\nry(x29) q[5];\nry(x30) q[6];\nry(x31) q[7];\nry(x11) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nry(x32) q[0];\nry(x33) q[1];\nry(x34) q[2];\nry(x35) q[3];\nry(x36) q[4];\nry(x37) q[5];\nry(x38) q[6];\nry(x39) q[7];\nry(x40) q[8];\ncx q[8], q[0];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x41) q[0];\nry(x42) q[1];\nry(x43) q[2];\nry(x44) q[3];\nry(x45) q[4];\nry(x11) q[5];\nry(x12) q[6];\nry(x46) q[7];\nry(x47) q[8];\ncx q[8], q[7];\ncx q[0], q[8];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["4c97295c4d10fd438512879e76a3fa94","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 1, \"source\": 0, \"target\": 1}, {\"weight\": 17, \"source\": 0, \"target\": 3}, {\"weight\": 11, \"source\": 0, \"target\": 5}, {\"weight\": 11, \"source\": 1, \"target\": 6}, {\"weight\": 9, \"source\": 2, \"target\": 3}, {\"weight\": 14, \"source\": 2, \"target\": 4}, {\"weight\": 12, \"source\": 2, \"target\": 6}, {\"weight\": 6, \"source\": 4, \"target\": 5}]}","{\"states\": [126, 118], \"expectation_value\": -39.2223342595952, \"params\": [[0.038900000000000004, 0.0758, 0.11280000000000001], [-0.6283000000000001, -0.4199, -0.2695]], \"bitstrings\": [\"10000001\", \"10001001\"], \"total_optimization_steps\": 70, \"probabilities\": [0.1777609840853321, 0.18674781669811752], \"optimization_time\": 6.939458847045898}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) + 10.0 * Z(6) + 3.0 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-52.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -49.5, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.3112) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.3112) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.3112) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.3112) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.3112) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(0.3112) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.3112) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.3112) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.3112) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.3112) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.3112) q[7];\ncx q[5], q[7];\nrz(0.9725) q[1];\nrz(0.3501) q[0];\nrz(0.7391) q[2];\nrz(0.4279) q[3];\nrz(0.6613) q[4];\nrz(0.8558) q[5];\nrz(0.778) q[6];\nrz(0.2334) q[7];\nh q[0];\nrz(-1.2566) q[0];\nh q[0];\nh q[1];\nrz(-1.2566) q[1];\nh q[1];\nh q[2];\nrz(-1.2566) q[2];\nh q[2];\nh q[3];\nrz(-1.2566) q[3];\nh q[3];\nh q[4];\nrz(-1.2566) q[4];\nh q[4];\nh q[5];\nrz(-1.2566) q[5];\nh q[5];\nh q[6];\nrz(-1.2566) q[6];\nh q[6];\nh q[7];\nrz(-1.2566) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.6064) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.6064) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.6064) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.6064) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.6064) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(0.6064) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.6064) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.6064) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.6064) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.6064) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.6064) q[7];\ncx q[5], q[7];\nrz(1.895) q[1];\nrz(0.6822) q[0];\nrz(1.4402) q[2];\nrz(0.8338) q[3];\nrz(1.2886) q[4];\nrz(1.6676) q[5];\nrz(1.516) q[6];\nrz(0.4548) q[7];\nh q[0];\nrz(-0.8398) q[0];\nh q[0];\nh q[1];\nrz(-0.8398) q[1];\nh q[1];\nh q[2];\nrz(-0.8398) q[2];\nh q[2];\nh q[3];\nrz(-0.8398) q[3];\nh q[3];\nh q[4];\nrz(-0.8398) q[4];\nh q[4];\nh q[5];\nrz(-0.8398) q[5];\nh q[5];\nh q[6];\nrz(-0.8398) q[6];\nh q[6];\nh q[7];\nrz(-0.8398) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.9024) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.9024) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.9024) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.9024) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.9024) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(0.9024) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(0.9024) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.9024) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.9024) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.9024) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.9024) q[7];\ncx q[5], q[7];\nrz(2.82) q[1];\nrz(1.0152) q[0];\nrz(2.1432) q[2];\nrz(1.2408) q[3];\nrz(1.9176) q[4];\nrz(2.4816) q[5];\nrz(2.256) q[6];\nrz(0.6768) q[7];\nh q[0];\nrz(-0.539) q[0];\nh q[0];\nh q[1];\nrz(-0.539) q[1];\nh q[1];\nh q[2];\nrz(-0.539) q[2];\nh q[2];\nh q[3];\nrz(-0.539) q[3];\nh q[3];\nh q[4];\nrz(-0.539) q[4];\nh q[4];\nh q[5];\nrz(-0.539) q[5];\nh q[5];\nh q[6];\nrz(-0.539) q[6];\nh q[6];\nh q[7];\nrz(-0.539) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x0) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(x10) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x10) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x10) q[7];\ncx q[5], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x20) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x20) q[4];\ncx q[1], q[4];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x20) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x20) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x20) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["f06cfa431b1d21951bd72bdc4807e338","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [19, 27], \"expectation_value\": -1.1063567579923639, \"params\": [[0.0702, 0.06960000000000001, 0.0649, 0.036000000000000004], [-0.0717, -0.07300000000000001, -0.0719, -0.054]], \"bitstrings\": [\"101100\", \"100100\"], \"total_optimization_steps\": 10, \"probabilities\": [0.028138326208589595, 0.034465527648138844], \"optimization_time\": 5.57203221321106}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1)",1,6,4,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(0.0702) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0702) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(0.0702) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0702) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(0.0702) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0702) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(0.0702) q[1];\ncx q[3], q[1];\nrz(0) q[2];\nrz(-0.2106) q[0];\nrz(-0.2106) q[3];\nrz(-0.0702) q[4];\nrz(-0.0702) q[5];\nrz(0) q[1];\nh q[0];\nrz(-0.1434) q[0];\nh q[0];\nh q[1];\nrz(-0.1434) q[1];\nh q[1];\nh q[2];\nrz(-0.1434) q[2];\nh q[2];\nh q[3];\nrz(-0.1434) q[3];\nh q[3];\nh q[4];\nrz(-0.1434) q[4];\nh q[4];\nh q[5];\nrz(-0.1434) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0696) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0696) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(0.0696) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0696) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(0.0696) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0696) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(0.0696) q[1];\ncx q[3], q[1];\nrz(0) q[2];\nrz(-0.2088) q[0];\nrz(-0.2088) q[3];\nrz(-0.0696) q[4];\nrz(-0.0696) q[5];\nrz(0) q[1];\nh q[0];\nrz(-0.146) q[0];\nh q[0];\nh q[1];\nrz(-0.146) q[1];\nh q[1];\nh q[2];\nrz(-0.146) q[2];\nh q[2];\nh q[3];\nrz(-0.146) q[3];\nh q[3];\nh q[4];\nrz(-0.146) q[4];\nh q[4];\nh q[5];\nrz(-0.146) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.0649) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.0649) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(0.0649) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0649) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(0.0649) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0649) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(0.0649) q[1];\ncx q[3], q[1];\nrz(0) q[2];\nrz(-0.1947) q[0];\nrz(-0.1947) q[3];\nrz(-0.0649) q[4];\nrz(-0.0649) q[5];\nrz(0) q[1];\nh q[0];\nrz(-0.1438) q[0];\nh q[0];\nh q[1];\nrz(-0.1438) q[1];\nh q[1];\nh q[2];\nrz(-0.1438) q[2];\nh q[2];\nh q[3];\nrz(-0.1438) q[3];\nh q[3];\nh q[4];\nrz(-0.1438) q[4];\nh q[4];\nh q[5];\nrz(-0.1438) q[5];\nh q[5];\ncx q[2], q[0];\nrz(0.036) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(0.036) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(0.036) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.036) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(0.036) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.036) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(0.036) q[1];\ncx q[3], q[1];\nrz(0) q[2];\nrz(-0.108) q[0];\nrz(-0.108) q[3];\nrz(-0.036) q[4];\nrz(-0.036) q[5];\nrz(0) q[1];\nh q[0];\nrz(-0.108) q[0];\nh q[0];\nh q[1];\nrz(-0.108) q[1];\nh q[1];\nh q[2];\nrz(-0.108) q[2];\nh q[2];\nh q[3];\nrz(-0.108) q[3];\nh q[3];\nh q[4];\nrz(-0.108) q[4];\nh q[4];\nh q[5];\nrz(-0.108) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\nrz(x1) q[2];\nrz(x2) q[0];\nrz(x2) q[3];\nrz(x3) q[4];\nrz(x3) q[5];\nrz(x1) q[1];\nh q[0];\nrz(x4) q[0];\nh q[0];\nh q[1];\nrz(x4) q[1];\nh q[1];\nh q[2];\nrz(x4) q[2];\nh q[2];\nh q[3];\nrz(x4) q[3];\nh q[3];\nh q[4];\nrz(x4) q[4];\nh q[4];\nh q[5];\nrz(x4) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x5) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x5) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x5) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x5) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x5) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(x5) q[1];\ncx q[3], q[1];\nrz(x1) q[2];\nrz(x6) q[0];\nrz(x6) q[3];\nrz(x7) q[4];\nrz(x7) q[5];\nrz(x1) q[1];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x9) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x9) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x9) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(x9) q[1];\ncx q[3], q[1];\nrz(x1) q[2];\nrz(x10) q[0];\nrz(x10) q[3];\nrz(x11) q[4];\nrz(x11) q[5];\nrz(x1) q[1];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\ncx q[2], q[0];\nrz(x13) q[0];\ncx q[2], q[0];\ncx q[0], q[3];\nrz(x13) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x13) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x13) q[4];\ncx q[3], q[4];\ncx q[0], q[5];\nrz(x13) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x13) q[5];\ncx q[3], q[5];\ncx q[3], q[1];\nrz(x13) q[1];\ncx q[3], q[1];\nrz(x1) q[2];\nrz(x14) q[0];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x15) q[5];\nrz(x1) q[1];\nh q[0];\nrz(x14) q[0];\nh q[0];\nh q[1];\nrz(x14) q[1];\nh q[1];\nh q[2];\nrz(x14) q[2];\nh q[2];\nh q[3];\nrz(x14) q[3];\nh q[3];\nh q[4];\nrz(x14) q[4];\nh q[4];\nh q[5];\nrz(x14) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["299056894614015130","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 2, 4, 5, 6], [4, 7], [2, 3, 7], [0, 3, 6], [1, 4], [3, 4, 5], [0, 2, 5, 6, 7]]}","{\"states\": [213, 87], \"expectation_value\": -0.07258951800024235, \"params\": [[0.07980000000000001], [-0.08560000000000001]], \"bitstrings\": [\"00101010\", \"10101000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.004328405014160666, 0.00432840501416067], \"optimization_time\": 0.9176373481750488}","0.1 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.1 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.3666666666666666 * Z(2) + 0.3666666666666666 * Z(0) + 0.2666666666666666 * Z(4) + 0.3666666666666667 * Z(5) + 0.3666666666666667 * Z(6) + 0.26666666666666683 * Z(7) + 0.4999999999999999 * Z(3) + 0.0 * Z(1)",1,8,1,"{\"smallest_eigenvalues\": [-2.2, -2.2], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.1999999999999993, \"smallest_bitstrings\": [\"00101010\", \"10101000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(0.016) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(0.008) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.008) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(0.016) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(0.016) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(0.0346) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(0.016) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0426) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(0.008) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(0.016) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.0346) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(0.008) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(0.0798) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(0.008) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.008) q[7];\ncx q[6], q[7];\ncx q[2], q[3];\nrz(0.0266) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(0.0266) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(0.0266) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(0.0266) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(0.0266) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(0.0266) q[3];\ncx q[7], q[3];\ncx q[4], q[1];\nrz(0.0798) q[1];\ncx q[4], q[1];\nrz(0.0585) q[2];\nrz(0.0585) q[0];\nrz(0.0426) q[4];\nrz(0.0585) q[5];\nrz(0.0585) q[6];\nrz(0.0426) q[7];\nrz(0.0798) q[3];\nrz(0) q[1];\nh q[0];\nrz(-0.1712) q[0];\nh q[0];\nh q[1];\nrz(-0.1712) q[1];\nh q[1];\nh q[2];\nrz(-0.1712) q[2];\nh q[2];\nh q[3];\nrz(-0.1712) q[3];\nh q[3];\nh q[4];\nrz(-0.1712) q[4];\nh q[4];\nh q[5];\nrz(-0.1712) q[5];\nh q[5];\nh q[6];\nrz(-0.1712) q[6];\nh q[6];\nh q[7];\nrz(-0.1712) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x1) q[4];\ncx q[0], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(x4) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x1) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[2], q[3];\nrz(x5) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(x5) q[3];\ncx q[4], q[3];\ncx q[5], q[3];\nrz(x5) q[3];\ncx q[5], q[3];\ncx q[6], q[3];\nrz(x5) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(x5) q[3];\ncx q[7], q[3];\ncx q[4], q[1];\nrz(x4) q[1];\ncx q[4], q[1];\nrz(x6) q[2];\nrz(x6) q[0];\nrz(x3) q[4];\nrz(x6) q[5];\nrz(x6) q[6];\nrz(x3) q[7];\nrz(x4) q[3];\nrz(x7) q[1];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["b35b67be6f13e1c7d0fe900b84e9f3d0","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 6}]}","{\"states\": [75, 91], \"expectation_value\": -2.563006157021299, \"params\": [[0.0026000000000000003, -0.0198, 1.5801, -0.0005, -0.0053, 1.5858, 0.0023, -0.016800000000000002, 1.5859], [0.0025, 1.3735000000000002, 1.5861, 0.32280000000000003, 1.6032000000000002, 1.5850000000000002, -0.004200000000000001, 1.6103, 1.5858]], \"bitstrings\": [\"110110100\", \"110100100\"], \"total_optimization_steps\": 160, \"probabilities\": [0.14639607499198443, 0.15619603675750088], \"optimization_time\": 4.759766578674316}","0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(7) @ Z(0)) + 0.0625 * (Z(8) @ Z(0)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(7) @ Z(5)) + 0.0625 * (Z(8) @ Z(5)) + 0.0625 * (Z(7) @ Z(8)) + -0.0625 * (Z(4) @ Z(0) @ Z(5)) + -0.0625 * (Z(7) @ Z(0) @ Z(4)) + -0.0625 * (Z(4) @ Z(8) @ Z(0)) + -0.0625 * (Z(7) @ Z(0) @ Z(5)) + -0.0625 * (Z(8) @ Z(0) @ Z(5)) + -0.0625 * (Z(7) @ Z(8) @ Z(0)) + -0.0625 * (Z(7) @ Z(4) @ Z(5)) + -0.0625 * (Z(4) @ Z(8) @ Z(5)) + -0.0625 * (Z(7) @ Z(8) @ Z(4)) + -0.0625 * (Z(7) @ Z(8) @ Z(5)) + 0.0625 * (Z(7) @ Z(0) @ Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(8) @ Z(0) @ Z(5)) + 0.0625 * (Z(7) @ Z(8) @ Z(0) @ Z(4)) + 0.0625 * (Z(7) @ Z(8) @ Z(0) @ Z(5)) + 0.0625 * (Z(7) @ Z(8) @ Z(4) @ Z(5)) + -0.0625 * (Z(4) @ Z(0) @ Z(5) @ Z(8) @ Z(7)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + -0.5625 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.0625 * Z(4) + 0.1875 * Z(5) + -0.25 * Z(6) + -0.0625 * Z(7) + -0.0625 * Z(8)",10,9,1,"{\"smallest_eigenvalues\": [-3.5625, -3.5625, -3.5625], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -2.5625, \"smallest_bitstrings\": [\"100110100\", \"110000110\", \"110100100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.0026) q[0];\nry(-0.0198) q[1];\nry(1.5801) q[2];\nry(-0.0005) q[3];\nry(-0.0053) q[4];\nry(1.5858) q[5];\nry(0.0023) q[6];\nry(-0.0168) q[7];\nry(1.5859) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(0.0025) q[0];\nry(1.3735) q[1];\nry(1.5861) q[2];\nry(0.3228) q[3];\nry(1.6032) q[4];\nry(1.585) q[5];\nry(-0.0042) q[6];\nry(1.6103) q[7];\nry(1.5858) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\ncz q[0], q[8];\nry(x9) q[0];\nry(x10) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x5) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["04fe200220cb0278b572d83172c75de9","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 1}, {\"capacity\": 4, \"source\": 1, \"target\": 2}, {\"capacity\": 5, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 6}, {\"capacity\": 3, \"source\": 3, \"target\": 1}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 4, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 3}]}","{\"states\": [5, 1], \"expectation_value\": -1.7086424814646564, \"params\": [[-0.054700000000000006, -0.0699, -0.038200000000000005], [0.053500000000000006, 0.07200000000000001, 0.0594]], \"bitstrings\": [\"1111010\", \"1111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.018569001970843112, 0.021116496592495246], \"optimization_time\": 5.410756587982178}","-0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + 2.0 * Z(4)",1,7,3,"{\"smallest_eigenvalues\": [-9.25, -9.25], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -7.25, \"smallest_bitstrings\": [\"1111110\", \"1111010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(0.0821) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1094) q[2];\ncx q[1], q[2];\ncx q[1], q[5];\nrz(0.1368) q[5];\ncx q[1], q[5];\ncx q[0], q[6];\nrz(-0.1094) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0274) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(0.0821) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.0821) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(0.0547) q[3];\ncx q[5], q[3];\ncx q[1], q[4];\nrz(0.1094) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.1094) q[4];\ncx q[3], q[4];\nrz(0.0274) q[1];\nrz(0.0274) q[0];\nrz(0.1641) q[2];\nrz(0.0821) q[5];\nrz(-0.0821) q[6];\nrz(0) q[3];\nrz(-0.2188) q[4];\nh q[0];\nrz(0.107) q[0];\nh q[0];\nh q[1];\nrz(0.107) q[1];\nh q[1];\nh q[2];\nrz(0.107) q[2];\nh q[2];\nh q[3];\nrz(0.107) q[3];\nh q[3];\nh q[4];\nrz(0.107) q[4];\nh q[4];\nh q[5];\nrz(0.107) q[5];\nh q[5];\nh q[6];\nrz(0.107) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.1048) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1398) q[2];\ncx q[1], q[2];\ncx q[1], q[5];\nrz(0.1748) q[5];\ncx q[1], q[5];\ncx q[0], q[6];\nrz(-0.1398) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.035) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(0.1048) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.1048) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(0.0699) q[3];\ncx q[5], q[3];\ncx q[1], q[4];\nrz(0.1398) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.1398) q[4];\ncx q[3], q[4];\nrz(0.035) q[1];\nrz(0.035) q[0];\nrz(0.2097) q[2];\nrz(0.1048) q[5];\nrz(-0.1048) q[6];\nrz(0) q[3];\nrz(-0.2796) q[4];\nh q[0];\nrz(0.144) q[0];\nh q[0];\nh q[1];\nrz(0.144) q[1];\nh q[1];\nh q[2];\nrz(0.144) q[2];\nh q[2];\nh q[3];\nrz(0.144) q[3];\nh q[3];\nh q[4];\nrz(0.144) q[4];\nh q[4];\nh q[5];\nrz(0.144) q[5];\nh q[5];\nh q[6];\nrz(0.144) q[6];\nh q[6];\ncx q[1], q[0];\nrz(0.0573) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0764) q[2];\ncx q[1], q[2];\ncx q[1], q[5];\nrz(0.0955) q[5];\ncx q[1], q[5];\ncx q[0], q[6];\nrz(-0.0764) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(0.0191) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(0.0573) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(0.0573) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(0.0382) q[3];\ncx q[5], q[3];\ncx q[1], q[4];\nrz(0.0764) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0764) q[4];\ncx q[3], q[4];\nrz(0.0191) q[1];\nrz(0.0191) q[0];\nrz(0.1146) q[2];\nrz(0.0573) q[5];\nrz(-0.0573) q[6];\nrz(0) q[3];\nrz(-0.1528) q[4];\nh q[0];\nrz(0.1188) q[0];\nh q[0];\nh q[1];\nrz(0.1188) q[1];\nh q[1];\nh q[2];\nrz(0.1188) q[2];\nh q[2];\nh q[3];\nrz(0.1188) q[3];\nh q[3];\nh q[4];\nrz(0.1188) q[4];\nh q[4];\nh q[5];\nrz(0.1188) q[5];\nh q[5];\nh q[6];\nrz(0.1188) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x1) q[2];\ncx q[1], q[2];\ncx q[1], q[5];\nrz(x2) q[5];\ncx q[1], q[5];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x4) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x5) q[3];\ncx q[5], q[3];\ncx q[1], q[4];\nrz(x1) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\nrz(x4) q[1];\nrz(x4) q[0];\nrz(x6) q[2];\nrz(x0) q[5];\nrz(x7) q[6];\nrz(x8) q[3];\nrz(x9) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x12) q[2];\ncx q[1], q[2];\ncx q[1], q[5];\nrz(x13) q[5];\ncx q[1], q[5];\ncx q[0], q[6];\nrz(x14) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x15) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(x11) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x11) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x16) q[3];\ncx q[5], q[3];\ncx q[1], q[4];\nrz(x12) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x12) q[4];\ncx q[3], q[4];\nrz(x15) q[1];\nrz(x15) q[0];\nrz(x17) q[2];\nrz(x11) q[5];\nrz(x18) q[6];\nrz(x8) q[3];\nrz(x19) q[4];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x21) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x22) q[2];\ncx q[1], q[2];\ncx q[1], q[5];\nrz(x23) q[5];\ncx q[1], q[5];\ncx q[0], q[6];\nrz(x24) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x25) q[6];\ncx q[2], q[6];\ncx q[1], q[3];\nrz(x21) q[3];\ncx q[1], q[3];\ncx q[2], q[3];\nrz(x21) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x26) q[3];\ncx q[5], q[3];\ncx q[1], q[4];\nrz(x22) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x22) q[4];\ncx q[3], q[4];\nrz(x25) q[1];\nrz(x25) q[0];\nrz(x27) q[2];\nrz(x21) q[5];\nrz(x28) q[6];\nrz(x8) q[3];\nrz(x29) q[4];\nh q[0];\nrz(x30) q[0];\nh q[0];\nh q[1];\nrz(x30) q[1];\nh q[1];\nh q[2];\nrz(x30) q[2];\nh q[2];\nh q[3];\nrz(x30) q[3];\nh q[3];\nh q[4];\nrz(x30) q[4];\nh q[4];\nh q[5];\nrz(x30) q[5];\nh q[5];\nh q[6];\nrz(x30) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["366b890edf4c144f6141ff272a73bb47","connected_components","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 5, \"target\": 6}, {\"source\": 7, \"target\": 10}, {\"source\": 8, \"target\": 9}, {\"source\": 8, \"target\": 10}]}","{\"states\": [0, 511], \"expectation_value\": -6.377520721271542, \"params\": [0.1015, 1.4473, 0.6103000000000001, 0.004, -0.5724, 0.7903, 0.524, 0.0027, -0.8029000000000001, 0.5372, 0.7028, 0.0095, -0.8125, 1.0226, -0.44380000000000003, 0.0037, -0.8079000000000001, 1.1747, -0.031100000000000003, 0.003, -0.8170000000000001, 1.4419, -0.4988, 0.0008, -0.8141, 1.2188, -0.43220000000000003, 0.006900000000000001, -0.8107000000000001, 1.4971, -0.1307, 0.0055000000000000005, -0.8018000000000001, 1.3989, 0.1985, 0.0028, 0.3401, 1.2996, 0.1862, 0.0077, 1.4033, -1.05, -1.0287, -0.4919, -0.6621, -0.498, -0.49060000000000004, -0.6247, -0.7004, 0.6772], \"bitstrings\": [\"1111111111\", \"1000000000\"], \"total_optimization_steps\": 310, \"probabilities\": [0.18267301070774142, 0.2623509593456483], \"optimization_time\": 38.47341227531433}","-1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9) + -0.5 * Z(0)",6,10,1,"{\"smallest_eigenvalues\": [-12.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"1000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.1015) q[0];\nrz(1.4473) q[0];\nrx(-0.5724) q[1];\nrz(0.7903) q[1];\nrx(-0.8029) q[2];\nrz(0.5372) q[2];\nrx(-0.8125) q[3];\nrz(1.0226) q[3];\nrx(-0.8079) q[4];\nrz(1.1747) q[4];\nrx(-0.817) q[5];\nrz(1.4419) q[5];\nrx(-0.8141) q[6];\nrz(1.2188) q[6];\nrx(-0.8107) q[7];\nrz(1.4971) q[7];\nrx(-0.8018) q[8];\nrz(1.3989) q[8];\nrx(0.3401) q[9];\nrz(1.2996) q[9];\ncrx(-0.7004) q[9], q[8];\ncrx(-0.6247) q[9], q[7];\ncrx(-0.4906) q[9], q[6];\ncrx(-0.498) q[9], q[5];\ncrx(-0.6621) q[9], q[4];\ncrx(-0.4919) q[9], q[3];\ncrx(-1.0287) q[9], q[2];\ncrx(-1.05) q[9], q[1];\ncrx(1.4033) q[9], q[0];\ncrx(0.6772) q[8], q[9];\ncrx(-0.6247) q[8], q[7];\ncrx(-0.4906) q[8], q[6];\ncrx(-0.498) q[8], q[5];\ncrx(-0.6621) q[8], q[4];\ncrx(-0.4919) q[8], q[3];\ncrx(-1.0287) q[8], q[2];\ncrx(-1.05) q[8], q[1];\ncrx(1.4033) q[8], q[0];\ncrx(0.6772) q[7], q[9];\ncrx(-0.7004) q[7], q[8];\ncrx(-0.4906) q[7], q[6];\ncrx(-0.498) q[7], q[5];\ncrx(-0.6621) q[7], q[4];\ncrx(-0.4919) q[7], q[3];\ncrx(-1.0287) q[7], q[2];\ncrx(-1.05) q[7], q[1];\ncrx(1.4033) q[7], q[0];\ncrx(0.6772) q[6], q[9];\ncrx(-0.7004) q[6], q[8];\ncrx(-0.6247) q[6], q[7];\ncrx(-0.498) q[6], q[5];\ncrx(-0.6621) q[6], q[4];\ncrx(-0.4919) q[6], q[3];\ncrx(-1.0287) q[6], q[2];\ncrx(-1.05) q[6], q[1];\ncrx(1.4033) q[6], q[0];\ncrx(0.6772) q[5], q[9];\ncrx(-0.7004) q[5], q[8];\ncrx(-0.6247) q[5], q[7];\ncrx(-0.4906) q[5], q[6];\ncrx(-0.6621) q[5], q[4];\ncrx(-0.4919) q[5], q[3];\ncrx(-1.0287) q[5], q[2];\ncrx(-1.05) q[5], q[1];\ncrx(1.4033) q[5], q[0];\ncrx(0.6772) q[4], q[9];\ncrx(-0.7004) q[4], q[8];\ncrx(-0.6247) q[4], q[7];\ncrx(-0.4906) q[4], q[6];\ncrx(-0.498) q[4], q[5];\ncrx(-0.4919) q[4], q[3];\ncrx(-1.0287) q[4], q[2];\ncrx(-1.05) q[4], q[1];\ncrx(1.4033) q[4], q[0];\ncrx(0.6772) q[3], q[9];\ncrx(-0.7004) q[3], q[8];\ncrx(-0.6247) q[3], q[7];\ncrx(-0.4906) q[3], q[6];\ncrx(-0.498) q[3], q[5];\ncrx(-0.6621) q[3], q[4];\ncrx(-1.0287) q[3], q[2];\ncrx(-1.05) q[3], q[1];\ncrx(1.4033) q[3], q[0];\ncrx(0.6772) q[2], q[9];\ncrx(-0.7004) q[2], q[8];\ncrx(-0.6247) q[2], q[7];\ncrx(-0.4906) q[2], q[6];\ncrx(-0.498) q[2], q[5];\ncrx(-0.6621) q[2], q[4];\ncrx(-0.4919) q[2], q[3];\ncrx(-1.05) q[2], q[1];\ncrx(1.4033) q[2], q[0];\ncrx(0.6772) q[1], q[9];\ncrx(-0.7004) q[1], q[8];\ncrx(-0.6247) q[1], q[7];\ncrx(-0.4906) q[1], q[6];\ncrx(-0.498) q[1], q[5];\ncrx(-0.6621) q[1], q[4];\ncrx(-0.4919) q[1], q[3];\ncrx(-1.0287) q[1], q[2];\ncrx(1.4033) q[1], q[0];\ncrx(0.6772) q[0], q[9];\ncrx(-0.7004) q[0], q[8];\ncrx(-0.6247) q[0], q[7];\ncrx(-0.4906) q[0], q[6];\ncrx(-0.498) q[0], q[5];\ncrx(-0.6621) q[0], q[4];\ncrx(-0.4919) q[0], q[3];\ncrx(-1.0287) q[0], q[2];\ncrx(-1.05) q[0], q[1];\nrx(0.6103) q[0];\nrz(0.004) q[0];\nrx(0.524) q[1];\nrz(0.0027) q[1];\nrx(0.7028) q[2];\nrz(0.0095) q[2];\nrx(-0.4438) q[3];\nrz(0.0037) q[3];\nrx(-0.0311) q[4];\nrz(0.003) q[4];\nrx(-0.4988) q[5];\nrz(0.0008) q[5];\nrx(-0.4322) q[6];\nrz(0.0069) q[6];\nrx(-0.1307) q[7];\nrz(0.0055) q[7];\nrx(0.1985) q[8];\nrz(0.0028) q[8];\nrx(0.1862) q[9];\nrz(0.0077) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\ncrx(x20) q[9], q[8];\ncrx(x21) q[9], q[7];\ncrx(x22) q[9], q[6];\ncrx(x23) q[9], q[5];\ncrx(x24) q[9], q[4];\ncrx(x25) q[9], q[3];\ncrx(x26) q[9], q[2];\ncrx(x27) q[9], q[1];\ncrx(x28) q[9], q[0];\ncrx(x29) q[8], q[9];\ncrx(x21) q[8], q[7];\ncrx(x22) q[8], q[6];\ncrx(x23) q[8], q[5];\ncrx(x24) q[8], q[4];\ncrx(x25) q[8], q[3];\ncrx(x26) q[8], q[2];\ncrx(x27) q[8], q[1];\ncrx(x28) q[8], q[0];\ncrx(x29) q[7], q[9];\ncrx(x20) q[7], q[8];\ncrx(x22) q[7], q[6];\ncrx(x23) q[7], q[5];\ncrx(x24) q[7], q[4];\ncrx(x25) q[7], q[3];\ncrx(x26) q[7], q[2];\ncrx(x27) q[7], q[1];\ncrx(x28) q[7], q[0];\ncrx(x29) q[6], q[9];\ncrx(x20) q[6], q[8];\ncrx(x21) q[6], q[7];\ncrx(x23) q[6], q[5];\ncrx(x24) q[6], q[4];\ncrx(x25) q[6], q[3];\ncrx(x26) q[6], q[2];\ncrx(x27) q[6], q[1];\ncrx(x28) q[6], q[0];\ncrx(x29) q[5], q[9];\ncrx(x20) q[5], q[8];\ncrx(x21) q[5], q[7];\ncrx(x22) q[5], q[6];\ncrx(x24) q[5], q[4];\ncrx(x25) q[5], q[3];\ncrx(x26) q[5], q[2];\ncrx(x27) q[5], q[1];\ncrx(x28) q[5], q[0];\ncrx(x29) q[4], q[9];\ncrx(x20) q[4], q[8];\ncrx(x21) q[4], q[7];\ncrx(x22) q[4], q[6];\ncrx(x23) q[4], q[5];\ncrx(x25) q[4], q[3];\ncrx(x26) q[4], q[2];\ncrx(x27) q[4], q[1];\ncrx(x28) q[4], q[0];\ncrx(x29) q[3], q[9];\ncrx(x20) q[3], q[8];\ncrx(x21) q[3], q[7];\ncrx(x22) q[3], q[6];\ncrx(x23) q[3], q[5];\ncrx(x24) q[3], q[4];\ncrx(x26) q[3], q[2];\ncrx(x27) q[3], q[1];\ncrx(x28) q[3], q[0];\ncrx(x29) q[2], q[9];\ncrx(x20) q[2], q[8];\ncrx(x21) q[2], q[7];\ncrx(x22) q[2], q[6];\ncrx(x23) q[2], q[5];\ncrx(x24) q[2], q[4];\ncrx(x25) q[2], q[3];\ncrx(x27) q[2], q[1];\ncrx(x28) q[2], q[0];\ncrx(x29) q[1], q[9];\ncrx(x20) q[1], q[8];\ncrx(x21) q[1], q[7];\ncrx(x22) q[1], q[6];\ncrx(x23) q[1], q[5];\ncrx(x24) q[1], q[4];\ncrx(x25) q[1], q[3];\ncrx(x26) q[1], q[2];\ncrx(x28) q[1], q[0];\ncrx(x29) q[0], q[9];\ncrx(x20) q[0], q[8];\ncrx(x21) q[0], q[7];\ncrx(x22) q[0], q[6];\ncrx(x23) q[0], q[5];\ncrx(x24) q[0], q[4];\ncrx(x25) q[0], q[3];\ncrx(x26) q[0], q[2];\ncrx(x27) q[0], q[1];\nrx(x30) q[0];\nrz(x31) q[0];\nrx(x32) q[1];\nrz(x33) q[1];\nrx(x34) q[2];\nrz(x35) q[2];\nrx(x36) q[3];\nrz(x37) q[3];\nrx(x38) q[4];\nrz(x39) q[4];\nrx(x40) q[5];\nrz(x41) q[5];\nrx(x42) q[6];\nrz(x43) q[6];\nrx(x44) q[7];\nrz(x45) q[7];\nrx(x46) q[8];\nrz(x47) q[8];\nrx(x48) q[9];\nrz(x49) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"node\": 1}","{\"circuits\": [], \"gradients\": []}"]
["4ef5b8ae9f7c2af9940d89976f60e031","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 6, \"source\": 0, \"target\": 5}, {\"capacity\": 1, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 5, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 6, \"source\": 5, \"target\": 6}, {\"capacity\": 4, \"source\": 5, \"target\": 7}, {\"capacity\": 6, \"source\": 6, \"target\": 3}, {\"capacity\": 7, \"source\": 6, \"target\": 4}]}","{\"states\": [97, 1], \"expectation_value\": -1.2711042327877085, \"params\": [[-0.027700000000000002, -0.0281, -0.0002, -0.046], [0.029900000000000003, 0.0417, 0.0006000000000000001, 0.0334]], \"bitstrings\": [\"10011110\", \"11111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.006112719794235189, 0.006850362956878894], \"optimization_time\": 6.1004228591918945}","-0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 * Z(3) + 1.25 * Z(6) + 1.5 * Z(7) + -1.75 * Z(4)",1,8,4,"{\"smallest_eigenvalues\": [-14.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.0, \"smallest_bitstrings\": [\"11111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(0.0416) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(0.0831) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0693) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(0.0139) q[1];\ncx q[5], q[1];\ncx q[5], q[3];\nrz(0.0139) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0139) q[3];\ncx q[1], q[3];\ncx q[5], q[6];\nrz(0.0831) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(0.1108) q[6];\ncx q[3], q[6];\ncx q[0], q[7];\nrz(-0.1385) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(0.0554) q[7];\ncx q[5], q[7];\ncx q[6], q[4];\nrz(0.097) q[4];\ncx q[6], q[4];\nrz(-0.0277) q[2];\nrz(0.0139) q[0];\nrz(-0.0554) q[5];\nrz(0.0416) q[1];\nrz(0.0831) q[3];\nrz(-0.0693) q[6];\nrz(-0.0831) q[7];\nrz(0.097) q[4];\nh q[0];\nrz(0.0598) q[0];\nh q[0];\nh q[1];\nrz(0.0598) q[1];\nh q[1];\nh q[2];\nrz(0.0598) q[2];\nh q[2];\nh q[3];\nrz(0.0598) q[3];\nh q[3];\nh q[4];\nrz(0.0598) q[4];\nh q[4];\nh q[5];\nrz(0.0598) q[5];\nh q[5];\nh q[6];\nrz(0.0598) q[6];\nh q[6];\nh q[7];\nrz(0.0598) q[7];\nh q[7];\ncx q[2], q[0];\nrz(0.0421) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(0.0843) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0703) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(0.014) q[1];\ncx q[5], q[1];\ncx q[5], q[3];\nrz(0.014) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.014) q[3];\ncx q[1], q[3];\ncx q[5], q[6];\nrz(0.0843) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(0.1124) q[6];\ncx q[3], q[6];\ncx q[0], q[7];\nrz(-0.1405) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(0.0562) q[7];\ncx q[5], q[7];\ncx q[6], q[4];\nrz(0.0983) q[4];\ncx q[6], q[4];\nrz(-0.0281) q[2];\nrz(0.014) q[0];\nrz(-0.0562) q[5];\nrz(0.0421) q[1];\nrz(0.0843) q[3];\nrz(-0.0703) q[6];\nrz(-0.0843) q[7];\nrz(0.0983) q[4];\nh q[0];\nrz(0.0834) q[0];\nh q[0];\nh q[1];\nrz(0.0834) q[1];\nh q[1];\nh q[2];\nrz(0.0834) q[2];\nh q[2];\nh q[3];\nrz(0.0834) q[3];\nh q[3];\nh q[4];\nrz(0.0834) q[4];\nh q[4];\nh q[5];\nrz(0.0834) q[5];\nh q[5];\nh q[6];\nrz(0.0834) q[6];\nh q[6];\nh q[7];\nrz(0.0834) q[7];\nh q[7];\ncx q[2], q[0];\nrz(0.0003) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(0.0006) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.0005) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(0.0001) q[1];\ncx q[5], q[1];\ncx q[5], q[3];\nrz(0.0001) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.0001) q[3];\ncx q[1], q[3];\ncx q[5], q[6];\nrz(0.0006) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(0.0008) q[6];\ncx q[3], q[6];\ncx q[0], q[7];\nrz(-0.001) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(0.0004) q[7];\ncx q[5], q[7];\ncx q[6], q[4];\nrz(0.0007) q[4];\ncx q[6], q[4];\nrz(-0.0002) q[2];\nrz(0.0001) q[0];\nrz(-0.0004) q[5];\nrz(0.0003) q[1];\nrz(0.0006) q[3];\nrz(-0.0005) q[6];\nrz(-0.0006) q[7];\nrz(0.0007) q[4];\nh q[0];\nrz(0.0012) q[0];\nh q[0];\nh q[1];\nrz(0.0012) q[1];\nh q[1];\nh q[2];\nrz(0.0012) q[2];\nh q[2];\nh q[3];\nrz(0.0012) q[3];\nh q[3];\nh q[4];\nrz(0.0012) q[4];\nh q[4];\nh q[5];\nrz(0.0012) q[5];\nh q[5];\nh q[6];\nrz(0.0012) q[6];\nh q[6];\nh q[7];\nrz(0.0012) q[7];\nh q[7];\ncx q[2], q[0];\nrz(0.069) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(0.138) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(0.115) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(0.023) q[1];\ncx q[5], q[1];\ncx q[5], q[3];\nrz(0.023) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(0.023) q[3];\ncx q[1], q[3];\ncx q[5], q[6];\nrz(0.138) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(0.184) q[6];\ncx q[3], q[6];\ncx q[0], q[7];\nrz(-0.23) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(0.092) q[7];\ncx q[5], q[7];\ncx q[6], q[4];\nrz(0.161) q[4];\ncx q[6], q[4];\nrz(-0.046) q[2];\nrz(0.023) q[0];\nrz(-0.092) q[5];\nrz(0.069) q[1];\nrz(0.138) q[3];\nrz(-0.115) q[6];\nrz(-0.138) q[7];\nrz(0.161) q[4];\nh q[0];\nrz(0.0668) q[0];\nh q[0];\nh q[1];\nrz(0.0668) q[1];\nh q[1];\nh q[2];\nrz(0.0668) q[2];\nh q[2];\nh q[3];\nrz(0.0668) q[3];\nh q[3];\nh q[4];\nrz(0.0668) q[4];\nh q[4];\nh q[5];\nrz(0.0668) q[5];\nh q[5];\nh q[6];\nrz(0.0668) q[6];\nh q[6];\nh q[7];\nrz(0.0668) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x2) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x3) q[1];\ncx q[5], q[1];\ncx q[5], q[3];\nrz(x3) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x3) q[3];\ncx q[1], q[3];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x4) q[6];\ncx q[3], q[6];\ncx q[0], q[7];\nrz(x5) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x6) q[7];\ncx q[5], q[7];\ncx q[6], q[4];\nrz(x7) q[4];\ncx q[6], q[4];\nrz(x8) q[2];\nrz(x3) q[0];\nrz(x9) q[5];\nrz(x0) q[1];\nrz(x1) q[3];\nrz(x10) q[6];\nrz(x11) q[7];\nrz(x7) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\ncx q[2], q[0];\nrz(x13) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(x14) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x15) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x16) q[1];\ncx q[5], q[1];\ncx q[5], q[3];\nrz(x16) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x16) q[3];\ncx q[1], q[3];\ncx q[5], q[6];\nrz(x14) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x17) q[6];\ncx q[3], q[6];\ncx q[0], q[7];\nrz(x18) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x19) q[7];\ncx q[5], q[7];\ncx q[6], q[4];\nrz(x20) q[4];\ncx q[6], q[4];\nrz(x21) q[2];\nrz(x16) q[0];\nrz(x22) q[5];\nrz(x13) q[1];\nrz(x14) q[3];\nrz(x23) q[6];\nrz(x24) q[7];\nrz(x20) q[4];\nh q[0];\nrz(x25) q[0];\nh q[0];\nh q[1];\nrz(x25) q[1];\nh q[1];\nh q[2];\nrz(x25) q[2];\nh q[2];\nh q[3];\nrz(x25) q[3];\nh q[3];\nh q[4];\nrz(x25) q[4];\nh q[4];\nh q[5];\nrz(x25) q[5];\nh q[5];\nh q[6];\nrz(x25) q[6];\nh q[6];\nh q[7];\nrz(x25) q[7];\nh q[7];\ncx q[2], q[0];\nrz(x26) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(x27) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x28) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x29) q[1];\ncx q[5], q[1];\ncx q[5], q[3];\nrz(x29) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x29) q[3];\ncx q[1], q[3];\ncx q[5], q[6];\nrz(x27) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x30) q[6];\ncx q[3], q[6];\ncx q[0], q[7];\nrz(x31) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x32) q[7];\ncx q[5], q[7];\ncx q[6], q[4];\nrz(x33) q[4];\ncx q[6], q[4];\nrz(x34) q[2];\nrz(x29) q[0];\nrz(x35) q[5];\nrz(x26) q[1];\nrz(x27) q[3];\nrz(x36) q[6];\nrz(x37) q[7];\nrz(x33) q[4];\nh q[0];\nrz(x38) q[0];\nh q[0];\nh q[1];\nrz(x38) q[1];\nh q[1];\nh q[2];\nrz(x38) q[2];\nh q[2];\nh q[3];\nrz(x38) q[3];\nh q[3];\nh q[4];\nrz(x38) q[4];\nh q[4];\nh q[5];\nrz(x38) q[5];\nh q[5];\nh q[6];\nrz(x38) q[6];\nh q[6];\nh q[7];\nrz(x38) q[7];\nh q[7];\ncx q[2], q[0];\nrz(x39) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(x40) q[5];\ncx q[0], q[5];\ncx q[2], q[1];\nrz(x41) q[1];\ncx q[2], q[1];\ncx q[5], q[1];\nrz(x42) q[1];\ncx q[5], q[1];\ncx q[5], q[3];\nrz(x42) q[3];\ncx q[5], q[3];\ncx q[1], q[3];\nrz(x42) q[3];\ncx q[1], q[3];\ncx q[5], q[6];\nrz(x40) q[6];\ncx q[5], q[6];\ncx q[3], q[6];\nrz(x43) q[6];\ncx q[3], q[6];\ncx q[0], q[7];\nrz(x44) q[7];\ncx q[0], q[7];\ncx q[5], q[7];\nrz(x45) q[7];\ncx q[5], q[7];\ncx q[6], q[4];\nrz(x46) q[4];\ncx q[6], q[4];\nrz(x47) q[2];\nrz(x42) q[0];\nrz(x48) q[5];\nrz(x39) q[1];\nrz(x40) q[3];\nrz(x49) q[6];\nrz(x50) q[7];\nrz(x46) q[4];\nh q[0];\nrz(x51) q[0];\nh q[0];\nh q[1];\nrz(x51) q[1];\nh q[1];\nh q[2];\nrz(x51) q[2];\nh q[2];\nh q[3];\nrz(x51) q[3];\nh q[3];\nh q[4];\nrz(x51) q[4];\nh q[4];\nh q[5];\nrz(x51) q[5];\nh q[5];\nh q[6];\nrz(x51) q[6];\nh q[6];\nh q[7];\nrz(x51) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["cb943fcd43d9f749780630b91be79506","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 1, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 8}, {\"capacity\": 2, \"source\": 5, \"target\": 4}, {\"capacity\": 1, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 7}, {\"capacity\": 1, \"source\": 6, \"target\": 1}, {\"capacity\": 1, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 7}, {\"capacity\": 1, \"source\": 7, \"target\": 1}, {\"capacity\": 2, \"source\": 7, \"target\": 5}, {\"capacity\": 1, \"source\": 7, \"target\": 8}]}","{\"states\": [255, 223], \"expectation_value\": -0.1700749214852454, \"params\": [[0.058600000000000006], [-0.0475]], \"bitstrings\": [\"100000000\", \"100100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002278629543953468, 0.0022950818806981407], \"optimization_time\": 2.5998852252960205}","-0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(3) + 0.75 * Z(2) + 0.25 * Z(6) + -0.25 * Z(8) + 1.0 * Z(4) + -0.25 * Z(5) + 0.25 * Z(7)",1,9,1,"{\"smallest_eigenvalues\": [-9.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.5, \"smallest_bitstrings\": [\"100100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(-0.0293) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(-0.0586) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(-0.0586) q[3];\ncx q[0], q[3];\ncx q[1], q[2];\nrz(-0.0293) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(-0.0586) q[2];\ncx q[3], q[2];\ncx q[1], q[6];\nrz(-0.0879) q[6];\ncx q[1], q[6];\ncx q[0], q[8];\nrz(0.1172) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(-0.0586) q[8];\ncx q[2], q[8];\ncx q[1], q[4];\nrz(-0.0293) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(-0.0293) q[4];\ncx q[3], q[4];\ncx q[8], q[4];\nrz(-0.0586) q[4];\ncx q[8], q[4];\ncx q[6], q[5];\nrz(-0.0586) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(-0.1172) q[5];\ncx q[4], q[5];\ncx q[1], q[7];\nrz(-0.0293) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(-0.0586) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(-0.0293) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(-0.0879) q[7];\ncx q[5], q[7];\nrz(0.0293) q[1];\nrz(-0.0293) q[0];\nrz(-0.2051) q[3];\nrz(0.0879) q[2];\nrz(0.0293) q[6];\nrz(-0.0293) q[8];\nrz(0.1172) q[4];\nrz(-0.0293) q[5];\nrz(0.0293) q[7];\nh q[0];\nrz(-0.095) q[0];\nh q[0];\nh q[1];\nrz(-0.095) q[1];\nh q[1];\nh q[2];\nrz(-0.095) q[2];\nh q[2];\nh q[3];\nrz(-0.095) q[3];\nh q[3];\nh q[4];\nrz(-0.095) q[4];\nh q[4];\nh q[5];\nrz(-0.095) q[5];\nh q[5];\nh q[6];\nrz(-0.095) q[6];\nh q[6];\nh q[7];\nrz(-0.095) q[7];\nh q[7];\nh q[8];\nrz(-0.095) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[1], q[6];\nrz(x2) q[6];\ncx q[1], q[6];\ncx q[0], q[8];\nrz(x3) q[8];\ncx q[0], q[8];\ncx q[2], q[8];\nrz(x1) q[8];\ncx q[2], q[8];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[8], q[4];\nrz(x1) q[4];\ncx q[8], q[4];\ncx q[6], q[5];\nrz(x1) q[5];\ncx q[6], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[6], q[7];\nrz(x1) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(x0) q[7];\ncx q[8], q[7];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\nrz(x5) q[1];\nrz(x0) q[0];\nrz(x6) q[3];\nrz(x7) q[2];\nrz(x5) q[6];\nrz(x0) q[8];\nrz(x3) q[4];\nrz(x0) q[5];\nrz(x5) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["5a1527813da7c534130c872b3bb3e98c","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 5, \"source\": 2, \"target\": 7}, {\"capacity\": 4, \"source\": 4, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 6}, {\"capacity\": 4, \"source\": 5, \"target\": 4}, {\"capacity\": 2, \"source\": 5, \"target\": 6}, {\"capacity\": 4, \"source\": 6, \"target\": 3}]}","{\"states\": [127, 109], \"expectation_value\": -0.7135975277917834, \"params\": [[-0.024900000000000002, -0.031, -0.0182, -0.0541], [0.0091, 0.025900000000000003, 0.0056, 0.0386]], \"bitstrings\": [\"10000000\", \"10010010\"], \"total_optimization_steps\": 10, \"probabilities\": [0.005678559206535825, 0.005764178235527973], \"optimization_time\": 6.703972101211548}","-0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6) + 1.0 * Z(1) + 1.0 * Z(2) + 0.0 * Z(7) + 1.5 * Z(5) + -1.0 * Z(3)",1,8,4,"{\"smallest_eigenvalues\": [-11.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -9.0, \"smallest_bitstrings\": [\"10010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[0];\nrz(0.0125) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(0.0374) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(0.0374) q[6];\ncx q[0], q[6];\ncx q[4], q[1];\nrz(0.0249) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(0.0249) q[1];\ncx q[6], q[1];\ncx q[4], q[2];\nrz(0.0498) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(0.0374) q[2];\ncx q[6], q[2];\ncx q[0], q[7];\nrz(-0.0623) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.0623) q[7];\ncx q[2], q[7];\ncx q[4], q[5];\nrz(0.0498) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0249) q[5];\ncx q[6], q[5];\ncx q[6], q[3];\nrz(0.0498) q[3];\ncx q[6], q[3];\nrz(0) q[4];\nrz(0.0125) q[0];\nrz(0.1121) q[6];\nrz(-0.0498) q[1];\nrz(-0.0498) q[2];\nrz(0) q[7];\nrz(-0.0747) q[5];\nrz(0.0498) q[3];\nh q[0];\nrz(0.0182) q[0];\nh q[0];\nh q[1];\nrz(0.0182) q[1];\nh q[1];\nh q[2];\nrz(0.0182) q[2];\nh q[2];\nh q[3];\nrz(0.0182) q[3];\nh q[3];\nh q[4];\nrz(0.0182) q[4];\nh q[4];\nh q[5];\nrz(0.0182) q[5];\nh q[5];\nh q[6];\nrz(0.0182) q[6];\nh q[6];\nh q[7];\nrz(0.0182) q[7];\nh q[7];\ncx q[4], q[0];\nrz(0.0155) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(0.0465) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(0.0465) q[6];\ncx q[0], q[6];\ncx q[4], q[1];\nrz(0.031) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(0.031) q[1];\ncx q[6], q[1];\ncx q[4], q[2];\nrz(0.062) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(0.0465) q[2];\ncx q[6], q[2];\ncx q[0], q[7];\nrz(-0.0775) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.0775) q[7];\ncx q[2], q[7];\ncx q[4], q[5];\nrz(0.062) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.031) q[5];\ncx q[6], q[5];\ncx q[6], q[3];\nrz(0.062) q[3];\ncx q[6], q[3];\nrz(0) q[4];\nrz(0.0155) q[0];\nrz(0.1395) q[6];\nrz(-0.062) q[1];\nrz(-0.062) q[2];\nrz(0) q[7];\nrz(-0.093) q[5];\nrz(0.062) q[3];\nh q[0];\nrz(0.0518) q[0];\nh q[0];\nh q[1];\nrz(0.0518) q[1];\nh q[1];\nh q[2];\nrz(0.0518) q[2];\nh q[2];\nh q[3];\nrz(0.0518) q[3];\nh q[3];\nh q[4];\nrz(0.0518) q[4];\nh q[4];\nh q[5];\nrz(0.0518) q[5];\nh q[5];\nh q[6];\nrz(0.0518) q[6];\nh q[6];\nh q[7];\nrz(0.0518) q[7];\nh q[7];\ncx q[4], q[0];\nrz(0.0091) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(0.0273) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(0.0273) q[6];\ncx q[0], q[6];\ncx q[4], q[1];\nrz(0.0182) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(0.0182) q[1];\ncx q[6], q[1];\ncx q[4], q[2];\nrz(0.0364) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(0.0273) q[2];\ncx q[6], q[2];\ncx q[0], q[7];\nrz(-0.0455) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.0455) q[7];\ncx q[2], q[7];\ncx q[4], q[5];\nrz(0.0364) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0182) q[5];\ncx q[6], q[5];\ncx q[6], q[3];\nrz(0.0364) q[3];\ncx q[6], q[3];\nrz(0) q[4];\nrz(0.0091) q[0];\nrz(0.0819) q[6];\nrz(-0.0364) q[1];\nrz(-0.0364) q[2];\nrz(0) q[7];\nrz(-0.0546) q[5];\nrz(0.0364) q[3];\nh q[0];\nrz(0.0112) q[0];\nh q[0];\nh q[1];\nrz(0.0112) q[1];\nh q[1];\nh q[2];\nrz(0.0112) q[2];\nh q[2];\nh q[3];\nrz(0.0112) q[3];\nh q[3];\nh q[4];\nrz(0.0112) q[4];\nh q[4];\nh q[5];\nrz(0.0112) q[5];\nh q[5];\nh q[6];\nrz(0.0112) q[6];\nh q[6];\nh q[7];\nrz(0.0112) q[7];\nh q[7];\ncx q[4], q[0];\nrz(0.0271) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(0.0811) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(0.0811) q[6];\ncx q[0], q[6];\ncx q[4], q[1];\nrz(0.0541) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(0.0541) q[1];\ncx q[6], q[1];\ncx q[4], q[2];\nrz(0.1082) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(0.0811) q[2];\ncx q[6], q[2];\ncx q[0], q[7];\nrz(-0.1353) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(0.1353) q[7];\ncx q[2], q[7];\ncx q[4], q[5];\nrz(0.1082) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0541) q[5];\ncx q[6], q[5];\ncx q[6], q[3];\nrz(0.1082) q[3];\ncx q[6], q[3];\nrz(0) q[4];\nrz(0.0271) q[0];\nrz(0.2434) q[6];\nrz(-0.1082) q[1];\nrz(-0.1082) q[2];\nrz(0) q[7];\nrz(-0.1623) q[5];\nrz(0.1082) q[3];\nh q[0];\nrz(0.0772) q[0];\nh q[0];\nh q[1];\nrz(0.0772) q[1];\nh q[1];\nh q[2];\nrz(0.0772) q[2];\nh q[2];\nh q[3];\nrz(0.0772) q[3];\nh q[3];\nh q[4];\nrz(0.0772) q[4];\nh q[4];\nh q[5];\nrz(0.0772) q[5];\nh q[5];\nh q[6];\nrz(0.0772) q[6];\nh q[6];\nh q[7];\nrz(0.0772) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(x1) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[4], q[1];\nrz(x2) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(x2) q[1];\ncx q[6], q[1];\ncx q[4], q[2];\nrz(x3) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x1) q[2];\ncx q[6], q[2];\ncx q[0], q[7];\nrz(x4) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x5) q[7];\ncx q[2], q[7];\ncx q[4], q[5];\nrz(x3) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x2) q[5];\ncx q[6], q[5];\ncx q[6], q[3];\nrz(x3) q[3];\ncx q[6], q[3];\nrz(x6) q[4];\nrz(x0) q[0];\nrz(x7) q[6];\nrz(x8) q[1];\nrz(x8) q[2];\nrz(x6) q[7];\nrz(x9) q[5];\nrz(x3) q[3];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\ncx q[4], q[0];\nrz(x11) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(x12) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x12) q[6];\ncx q[0], q[6];\ncx q[4], q[1];\nrz(x13) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(x13) q[1];\ncx q[6], q[1];\ncx q[4], q[2];\nrz(x14) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x12) q[2];\ncx q[6], q[2];\ncx q[0], q[7];\nrz(x15) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x16) q[7];\ncx q[2], q[7];\ncx q[4], q[5];\nrz(x14) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x13) q[5];\ncx q[6], q[5];\ncx q[6], q[3];\nrz(x14) q[3];\ncx q[6], q[3];\nrz(x6) q[4];\nrz(x11) q[0];\nrz(x17) q[6];\nrz(x18) q[1];\nrz(x18) q[2];\nrz(x6) q[7];\nrz(x19) q[5];\nrz(x14) q[3];\nh q[0];\nrz(x20) q[0];\nh q[0];\nh q[1];\nrz(x20) q[1];\nh q[1];\nh q[2];\nrz(x20) q[2];\nh q[2];\nh q[3];\nrz(x20) q[3];\nh q[3];\nh q[4];\nrz(x20) q[4];\nh q[4];\nh q[5];\nrz(x20) q[5];\nh q[5];\nh q[6];\nrz(x20) q[6];\nh q[6];\nh q[7];\nrz(x20) q[7];\nh q[7];\ncx q[4], q[0];\nrz(x21) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(x22) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x22) q[6];\ncx q[0], q[6];\ncx q[4], q[1];\nrz(x10) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(x10) q[1];\ncx q[6], q[1];\ncx q[4], q[2];\nrz(x23) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x22) q[2];\ncx q[6], q[2];\ncx q[0], q[7];\nrz(x24) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x25) q[7];\ncx q[2], q[7];\ncx q[4], q[5];\nrz(x23) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x10) q[5];\ncx q[6], q[5];\ncx q[6], q[3];\nrz(x23) q[3];\ncx q[6], q[3];\nrz(x6) q[4];\nrz(x21) q[0];\nrz(x26) q[6];\nrz(x27) q[1];\nrz(x27) q[2];\nrz(x6) q[7];\nrz(x28) q[5];\nrz(x23) q[3];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\ncx q[4], q[0];\nrz(x30) q[0];\ncx q[4], q[0];\ncx q[4], q[6];\nrz(x31) q[6];\ncx q[4], q[6];\ncx q[0], q[6];\nrz(x31) q[6];\ncx q[0], q[6];\ncx q[4], q[1];\nrz(x32) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(x32) q[1];\ncx q[6], q[1];\ncx q[4], q[2];\nrz(x33) q[2];\ncx q[4], q[2];\ncx q[6], q[2];\nrz(x31) q[2];\ncx q[6], q[2];\ncx q[0], q[7];\nrz(x34) q[7];\ncx q[0], q[7];\ncx q[2], q[7];\nrz(x35) q[7];\ncx q[2], q[7];\ncx q[4], q[5];\nrz(x33) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x32) q[5];\ncx q[6], q[5];\ncx q[6], q[3];\nrz(x33) q[3];\ncx q[6], q[3];\nrz(x6) q[4];\nrz(x30) q[0];\nrz(x36) q[6];\nrz(x37) q[1];\nrz(x37) q[2];\nrz(x6) q[7];\nrz(x38) q[5];\nrz(x33) q[3];\nh q[0];\nrz(x39) q[0];\nh q[0];\nh q[1];\nrz(x39) q[1];\nh q[1];\nh q[2];\nrz(x39) q[2];\nh q[2];\nh q[3];\nrz(x39) q[3];\nh q[3];\nh q[4];\nrz(x39) q[4];\nh q[4];\nh q[5];\nrz(x39) q[5];\nh q[5];\nh q[6];\nrz(x39) q[6];\nh q[6];\nh q[7];\nrz(x39) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"source\": 0, \"sink\": 7}","{\"circuits\": [], \"gradients\": []}"]
["6163086712884181579","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[1, 7], [4, 5], [5, 7], [4, 7], [0, 5], [1, 2], [2, 3], [1, 6]]}","{\"states\": [39, 216], \"expectation_value\": -0.09731705538906167, \"params\": [[-0.0806], [0.07730000000000001]], \"bitstrings\": [\"11011000\", \"00100111\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0045064486900900785, 0.0045064486900900785], \"optimization_time\": 6.761672496795654}","0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6)",1,8,1,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"11011000\", \"10100011\", \"10101011\", \"01010100\", \"01011100\", \"00100111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[1];\nrz(-0.0806) q[1];\ncx q[7], q[1];\ncx q[7], q[4];\nrz(-0.0806) q[4];\ncx q[7], q[4];\ncx q[7], q[5];\nrz(-0.0806) q[5];\ncx q[7], q[5];\ncx q[4], q[5];\nrz(-0.0806) q[5];\ncx q[4], q[5];\ncx q[5], q[0];\nrz(-0.0806) q[0];\ncx q[5], q[0];\ncx q[1], q[2];\nrz(-0.0806) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(-0.0806) q[3];\ncx q[2], q[3];\ncx q[1], q[6];\nrz(-0.0806) q[6];\ncx q[1], q[6];\nrz(0) q[7];\nrz(0) q[1];\nrz(0) q[4];\nrz(0) q[5];\nrz(0) q[0];\nrz(0) q[2];\nrz(0) q[3];\nrz(0) q[6];\nh q[0];\nrz(0.1546) q[0];\nh q[0];\nh q[1];\nrz(0.1546) q[1];\nh q[1];\nh q[2];\nrz(0.1546) q[2];\nh q[2];\nh q[3];\nrz(0.1546) q[3];\nh q[3];\nh q[4];\nrz(0.1546) q[4];\nh q[4];\nh q[5];\nrz(0.1546) q[5];\nh q[5];\nh q[6];\nrz(0.1546) q[6];\nh q[6];\nh q[7];\nrz(0.1546) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[7], q[1];\nrz(x0) q[1];\ncx q[7], q[1];\ncx q[7], q[4];\nrz(x0) q[4];\ncx q[7], q[4];\ncx q[7], q[5];\nrz(x0) q[5];\ncx q[7], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[6];\nrz(x0) q[6];\ncx q[1], q[6];\nrz(x1) q[7];\nrz(x1) q[1];\nrz(x1) q[4];\nrz(x1) q[5];\nrz(x1) q[0];\nrz(x1) q[2];\nrz(x1) q[3];\nrz(x1) q[6];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nh q[6];\nrz(x2) q[6];\nh q[6];\nh q[7];\nrz(x2) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["5453c2513a3015ff34fdf7af0c17d479","kclique","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 4}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 5, \"target\": 4}, {\"source\": 4, \"target\": 6}]}","{\"states\": [5, 7], \"expectation_value\": -5.250172662553911, \"params\": [[[0.2313, 0.231], [0.3254, -0.16720000000000002], [0.3245, 0.16670000000000001], [0.3159, -0.1706], [0.6142000000000001, 0.0007], [0.6142000000000001, 0.0002], [0.6121, 0.0004]], [[0.23770000000000002, 0.23090000000000002], [0.32530000000000003, -0.1671], [0.3276, 0.16670000000000001], [0.3178, -0.1706], [0.6184000000000001, 0.0007], [0.6075, 0.0002], [0.6156, 0.0004]], [[0.2366, 0.0028], [0.3183, 0.007], [0.3226, 0.008400000000000001], [0.31270000000000003, 0.0016], [0.6123000000000001, 0.007200000000000001], [0.6057, 0.007500000000000001], [0.6084, 0.0022]]], \"bitstrings\": [\"1111010\", \"1111000\"], \"total_optimization_steps\": 70, \"probabilities\": [0.06509948796449491, 0.10939732834756438], \"optimization_time\": 3.946833610534668}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.5 * (Z(6) @ Z(1)) + 2.25 * (Z(6) @ Z(0)) + 2.5 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -3.75 * Z(0) + -3.25 * Z(2) + -3.25 * Z(3) + -3.0 * Z(5) + -3.0 * Z(4) + -3.0 * Z(6)",1,7,3,"{\"smallest_eigenvalues\": [-13.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.5, \"smallest_bitstrings\": [\"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.2313) q[0];\nrz(0.231) q[0];\nrx(0.3254) q[1];\nrz(-0.1672) q[1];\nrx(0.3245) q[2];\nrz(0.1667) q[2];\nrx(0.3159) q[3];\nrz(-0.1706) q[3];\nrx(0.6142) q[4];\nrz(0.0007) q[4];\nrx(0.6142) q[5];\nrz(0.0002) q[5];\nrx(0.6121) q[6];\nrz(0.0004) q[6];\nrx(0.2377) q[0];\nrz(0.2309) q[0];\nrx(0.3253) q[1];\nrz(-0.1671) q[1];\nrx(0.3276) q[2];\nrz(0.1667) q[2];\nrx(0.3178) q[3];\nrz(-0.1706) q[3];\nrx(0.6184) q[4];\nrz(0.0007) q[4];\nrx(0.6075) q[5];\nrz(0.0002) q[5];\nrx(0.6156) q[6];\nrz(0.0004) q[6];\nrx(0.2366) q[0];\nrz(0.0028) q[0];\nrx(0.3183) q[1];\nrz(0.007) q[1];\nrx(0.3226) q[2];\nrz(0.0084) q[2];\nrx(0.3127) q[3];\nrz(0.0016) q[3];\nrx(0.6123) q[4];\nrz(0.0072) q[4];\nrx(0.6057) q[5];\nrz(0.0075) q[5];\nrx(0.6084) q[6];\nrz(0.0022) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x8) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[0];\nrz(x14) q[0];\nrx(x15) q[1];\nrz(x16) q[1];\nrx(x17) q[2];\nrz(x5) q[2];\nrx(x18) q[3];\nrz(x7) q[3];\nrx(x19) q[4];\nrz(x9) q[4];\nrx(x20) q[5];\nrz(x10) q[5];\nrx(x21) q[6];\nrz(x12) q[6];\nrx(x22) q[0];\nrz(x23) q[0];\nrx(x24) q[1];\nrz(x25) q[1];\nrx(x26) q[2];\nrz(x27) q[2];\nrx(x28) q[3];\nrz(x29) q[3];\nrx(x30) q[4];\nrz(x31) q[4];\nrx(x32) q[5];\nrz(x33) q[5];\nrx(x34) q[6];\nrz(x35) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"k\": 4}","{\"circuits\": [], \"gradients\": []}"]
["cacbe081b77503da3f10c68300c494cc","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"source\": 0, \"target\": 6}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 7}]}","{\"states\": [156, 220], \"expectation_value\": -5.102815205277699, \"params\": [0.6059, 0.0002, 0.5995, 0.004200000000000001, -0.019, 0.3261, 0.6059, 0.1552, 0.6088, 0.0017000000000000001, 0.6045, 0.002, -0.0081, 0.3509, -0.007500000000000001, 0.3493, 0.6079, 0.0002, 0.6022000000000001, 0.0036000000000000003, -0.0182, 0.334, 0.6078, 0.17470000000000002, 0.6034, 0.0016, 0.6067, 0.0027, -0.0013000000000000002, 0.3501, -0.0058000000000000005, 0.3554, 0.611, 0.0061, 0.6005, 0.0089, -0.0206, 0.0009000000000000001, 0.6044, 0.0095, 0.6016, 0.0017000000000000001, 0.6064, 0.0055000000000000005, -0.0082, 0.0016, -0.0061, 0.0004, -0.003, -0.3169, 0.30710000000000004, -0.0033, -0.0019, -0.1698, -0.1511, -0.0029000000000000002, -0.3287, 0.3468, -0.0024000000000000002, -0.0036000000000000003, 0.3587, -0.059800000000000006, 0.0015, 0.0047, 0.0063, 0.0051, 0.003, 0.0001, 0.006900000000000001], \"bitstrings\": [\"01100011\", \"00100011\"], \"total_optimization_steps\": 60, \"probabilities\": [0.057863300804055134, 0.0922910049260256], \"optimization_time\": 6.4235169887542725}","0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(6) + -0.5 * Z(0) + -2.0 * Z(7) + 0.0 * Z(1) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5)",3,8,3,"{\"smallest_eigenvalues\": [-7.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.0, \"smallest_bitstrings\": [\"00100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.6059) q[0];\nrz(0.0002) q[0];\nrx(0.5995) q[1];\nrz(0.0042) q[1];\nrx(-0.019) q[2];\nrz(0.3261) q[2];\nrx(0.6059) q[3];\nrz(0.1552) q[3];\nrx(0.6088) q[4];\nrz(0.0017) q[4];\nrx(0.6045) q[5];\nrz(0.002) q[5];\nrx(-0.0081) q[6];\nrz(0.3509) q[6];\nrx(-0.0075) q[7];\nrz(0.3493) q[7];\ncrz(-0.1511) q[7], q[6];\ncrz(-0.1698) q[6], q[5];\ncrz(-0.0019) q[5], q[4];\ncrz(-0.0033) q[4], q[3];\ncrz(0.3071) q[3], q[2];\ncrz(-0.3169) q[2], q[1];\ncrz(-0.003) q[1], q[0];\nrx(0.6079) q[0];\nrz(0.0002) q[0];\nrx(0.6022) q[1];\nrz(0.0036) q[1];\nrx(-0.0182) q[2];\nrz(0.334) q[2];\nrx(0.6078) q[3];\nrz(0.1747) q[3];\nrx(0.6034) q[4];\nrz(0.0016) q[4];\nrx(0.6067) q[5];\nrz(0.0027) q[5];\nrx(-0.0013) q[6];\nrz(0.3501) q[6];\nrx(-0.0058) q[7];\nrz(0.3554) q[7];\ncrz(-0.0598) q[7], q[6];\ncrz(0.3587) q[6], q[5];\ncrz(-0.0036) q[5], q[4];\ncrz(-0.0024) q[4], q[3];\ncrz(0.3468) q[3], q[2];\ncrz(-0.3287) q[2], q[1];\ncrz(-0.0029) q[1], q[0];\nrx(0.611) q[0];\nrz(0.0061) q[0];\nrx(0.6005) q[1];\nrz(0.0089) q[1];\nrx(-0.0206) q[2];\nrz(0.0009) q[2];\nrx(0.6044) q[3];\nrz(0.0095) q[3];\nrx(0.6016) q[4];\nrz(0.0017) q[4];\nrx(0.6064) q[5];\nrz(0.0055) q[5];\nrx(-0.0082) q[6];\nrz(0.0016) q[6];\nrx(-0.0061) q[7];\nrz(0.0004) q[7];\ncrz(0.0069) q[7], q[6];\ncrz(0.0001) q[6], q[5];\ncrz(0.003) q[5], q[4];\ncrz(0.0051) q[4], q[3];\ncrz(0.0063) q[3], q[2];\ncrz(0.0047) q[2], q[1];\ncrz(0.0015) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x0) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\ncrz(x15) q[7], q[6];\ncrz(x16) q[6], q[5];\ncrz(x17) q[5], q[4];\ncrz(x18) q[4], q[3];\ncrz(x19) q[3], q[2];\ncrz(x20) q[2], q[1];\ncrz(x21) q[1], q[0];\nrx(x22) q[0];\nrz(x1) q[0];\nrx(x23) q[1];\nrz(x24) q[1];\nrx(x25) q[2];\nrz(x26) q[2];\nrx(x27) q[3];\nrz(x28) q[3];\nrx(x29) q[4];\nrz(x30) q[4];\nrx(x31) q[5];\nrz(x32) q[5];\nrx(x33) q[6];\nrz(x34) q[6];\nrx(x35) q[7];\nrz(x36) q[7];\ncrz(x37) q[7], q[6];\ncrz(x38) q[6], q[5];\ncrz(x39) q[5], q[4];\ncrz(x40) q[4], q[3];\ncrz(x41) q[3], q[2];\ncrz(x42) q[2], q[1];\ncrz(x43) q[1], q[0];\nrx(x44) q[0];\nrz(x45) q[0];\nrx(x46) q[1];\nrz(x47) q[1];\nrx(x48) q[2];\nrz(x49) q[2];\nrx(x50) q[3];\nrz(x51) q[3];\nrx(x52) q[4];\nrz(x8) q[4];\nrx(x53) q[5];\nrz(x54) q[5];\nrx(x55) q[6];\nrz(x30) q[6];\nrx(x56) q[7];\nrz(x57) q[7];\ncrz(x58) q[7], q[6];\ncrz(x59) q[6], q[5];\ncrz(x60) q[5], q[4];\ncrz(x61) q[4], q[3];\ncrz(x62) q[3], q[2];\ncrz(x63) q[2], q[1];\ncrz(x64) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["90cd45aecbe758daa031a854118281c7","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 6}]}","{\"states\": [99, 83], \"expectation_value\": -4.99912831154339, \"params\": null, \"bitstrings\": [\"0011100\", \"0101100\"], \"total_optimization_steps\": 34, \"probabilities\": [0.06552828088820387, 0.9338519928642017], \"optimization_time\": 30.26380705833435}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-5.0, -5.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.0, \"smallest_bitstrings\": [\"0011100\", \"0101100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nry(-1.5681) q[3];\nry(1.4449) q[0];\nry(1.4449) q[5];\nry(1.4449) q[6];\ncry(-1.0342) q[2], q[1];\nry(0.7003) q[2];\nry(-0.4549) q[1];\ncry(0.4963) q[0], q[2];\ncry(-0.3789) q[0], q[1];\ncry(0.2489) q[6], q[2];\ncry(-0.1488) q[6], q[1];\ncry(0.1187) q[6], q[5];\ncry(0.1179) q[5], q[6];\ncry(0.1159) q[5], q[0];\ncry(0.0866) q[5], q[2];\ncry(-0.0495) q[5], q[1];\ncry(-0.0027) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":20224,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[3];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[3];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[3];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[3];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[6];\\ncry(-1.0342) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[3];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[6];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[3];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[6];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[2];\\nry(-0.4549) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[3];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[6];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[2];\\nry(-0.4549) q[1];\\ncry(0.4963) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[4];\\nry(-1.5681) q[3];\\nry(1.4449) q[0];\\nry(1.4449) q[5];\\nry(1.4449) q[6];\\ncry(-1.0342) q[2], q[1];\\nry(0.7003) q[2];\\nry(-0.4549) q[1];\\ncry(0.4963) q[0], q[2];\\ncry(-0.3789) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.57"}}]
["-2938813909534192457","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], \"hyperedges\": [[9, 3], [1, 4, 13], [8, 9, 4], [9, 1, 7], [9, 10, 7], [8, 12], [0, 9, 2], [1, 4, 5], [2, 12, 13], [0, 3], [1, 11, 5], [1, 3], [5, 13, 7], [11, 6, 7], [8, 6], [10, 13, 6], [3, 5], [11, 3], [9, 13, 7], [0, 2, 13], [8, 9, 2], [8, 9, 7], [12, 4, 5], [2, 3, 13], [3, 12, 4], [11, 5, 6], [1, 13, 5], [10, 12, 5], [0, 7], [9, 2, 4], [3, 13, 7], [0, 9, 4], [1, 13, 6]]}","{\"states\": [12605, 12607], \"expectation_value\": -2.510551568187594, \"params\": [[0.1757], [-0.1842]], \"bitstrings\": [\"00111011000010\", \"00111011000000\"], \"total_optimization_steps\": 20, \"probabilities\": [0.0002462451152579863, 0.00024656590175567607], \"optimization_time\": 9.709801435470581}","0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(13) @ Z(3)) + 0.16666666666666666 * (Z(13) @ Z(9)) + 0.5 * (Z(13) @ Z(1)) + 0.16666666666666666 * (Z(13) @ Z(4)) + 0.5 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.6666666666666666 * (Z(7) @ Z(9)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(13)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(9)) + 0.16666666666666666 * (Z(10) @ Z(13)) + 0.16666666666666666 * (Z(10) @ Z(7)) + 0.16666666666666666 * (Z(12) @ Z(3)) + 0.3333333333333333 * (Z(12) @ Z(4)) + 0.16666666666666666 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(8)) + 0.16666666666666666 * (Z(12) @ Z(10)) + 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(13)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(13)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(12)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(13)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.3333333333333333 * (Z(5) @ Z(12)) + 0.5 * (Z(11) @ Z(3)) + 0.16666666666666666 * (Z(11) @ Z(1)) + 0.16666666666666666 * (Z(11) @ Z(7)) + 0.3333333333333333 * (Z(11) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(11)) + 0.5000000000000004 * Z(3) + 1.5 * Z(9) + 1.0 * Z(1) + 1.166666666666667 * Z(4) + 1.6666666666666667 * Z(13) + 0.5 * Z(8) + 1.1666666666666663 * Z(7) + 0.4999999999999999 * Z(10) + 0.6666666666666667 * Z(12) + 0.4999999999999998 * Z(0) + 1.0 * Z(2) + 1.1666666666666665 * Z(5) + 0.4999999999999999 * Z(11) + 0.666666666666667 * Z(6)",1,14,1,"{\"smallest_eigenvalues\": [-8.666666666666524], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.666666666666504, \"smallest_bitstrings\": [\"00111011000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncx q[3], q[9];\nrz(0.1757) q[9];\ncx q[3], q[9];\ncx q[3], q[1];\nrz(0.1757) q[1];\ncx q[3], q[1];\ncx q[9], q[1];\nrz(0.0586) q[1];\ncx q[9], q[1];\ncx q[3], q[4];\nrz(0.0586) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(0.1757) q[4];\ncx q[9], q[4];\ncx q[1], q[4];\nrz(0.1171) q[4];\ncx q[1], q[4];\ncx q[3], q[13];\nrz(0.1171) q[13];\ncx q[3], q[13];\ncx q[9], q[13];\nrz(0.0586) q[13];\ncx q[9], q[13];\ncx q[1], q[13];\nrz(0.1757) q[13];\ncx q[1], q[13];\ncx q[4], q[13];\nrz(0.0586) q[13];\ncx q[4], q[13];\ncx q[9], q[8];\nrz(0.1757) q[8];\ncx q[9], q[8];\ncx q[4], q[8];\nrz(0.0586) q[8];\ncx q[4], q[8];\ncx q[3], q[7];\nrz(0.0586) q[7];\ncx q[3], q[7];\ncx q[9], q[7];\nrz(0.2343) q[7];\ncx q[9], q[7];\ncx q[1], q[7];\nrz(0.0586) q[7];\ncx q[1], q[7];\ncx q[13], q[7];\nrz(0.1757) q[7];\ncx q[13], q[7];\ncx q[8], q[7];\nrz(0.0586) q[7];\ncx q[8], q[7];\ncx q[9], q[10];\nrz(0.0586) q[10];\ncx q[9], q[10];\ncx q[13], q[10];\nrz(0.0586) q[10];\ncx q[13], q[10];\ncx q[7], q[10];\nrz(0.0586) q[10];\ncx q[7], q[10];\ncx q[3], q[12];\nrz(0.0586) q[12];\ncx q[3], q[12];\ncx q[4], q[12];\nrz(0.1171) q[12];\ncx q[4], q[12];\ncx q[13], q[12];\nrz(0.0586) q[12];\ncx q[13], q[12];\ncx q[8], q[12];\nrz(0.1757) q[12];\ncx q[8], q[12];\ncx q[10], q[12];\nrz(0.0586) q[12];\ncx q[10], q[12];\ncx q[3], q[0];\nrz(0.1757) q[0];\ncx q[3], q[0];\ncx q[9], q[0];\nrz(0.1171) q[0];\ncx q[9], q[0];\ncx q[4], q[0];\nrz(0.0586) q[0];\ncx q[4], q[0];\ncx q[13], q[0];\nrz(0.0586) q[0];\ncx q[13], q[0];\ncx q[7], q[0];\nrz(0.1757) q[0];\ncx q[7], q[0];\ncx q[3], q[2];\nrz(0.0586) q[2];\ncx q[3], q[2];\ncx q[9], q[2];\nrz(0.1757) q[2];\ncx q[9], q[2];\ncx q[4], q[2];\nrz(0.0586) q[2];\ncx q[4], q[2];\ncx q[13], q[2];\nrz(0.1757) q[2];\ncx q[13], q[2];\ncx q[8], q[2];\nrz(0.0586) q[2];\ncx q[8], q[2];\ncx q[12], q[2];\nrz(0.0586) q[2];\ncx q[12], q[2];\ncx q[0], q[2];\nrz(0.1171) q[2];\ncx q[0], q[2];\ncx q[3], q[5];\nrz(0.1757) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(0.1757) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(0.1171) q[5];\ncx q[4], q[5];\ncx q[13], q[5];\nrz(0.1171) q[5];\ncx q[13], q[5];\ncx q[7], q[5];\nrz(0.0586) q[5];\ncx q[7], q[5];\ncx q[10], q[5];\nrz(0.0586) q[5];\ncx q[10], q[5];\ncx q[12], q[5];\nrz(0.1171) q[5];\ncx q[12], q[5];\ncx q[3], q[11];\nrz(0.1757) q[11];\ncx q[3], q[11];\ncx q[1], q[11];\nrz(0.0586) q[11];\ncx q[1], q[11];\ncx q[7], q[11];\nrz(0.0586) q[11];\ncx q[7], q[11];\ncx q[5], q[11];\nrz(0.1171) q[11];\ncx q[5], q[11];\ncx q[1], q[6];\nrz(0.0586) q[6];\ncx q[1], q[6];\ncx q[13], q[6];\nrz(0.1171) q[6];\ncx q[13], q[6];\ncx q[8], q[6];\nrz(0.1757) q[6];\ncx q[8], q[6];\ncx q[7], q[6];\nrz(0.0586) q[6];\ncx q[7], q[6];\ncx q[10], q[6];\nrz(0.0586) q[6];\ncx q[10], q[6];\ncx q[5], q[6];\nrz(0.0586) q[6];\ncx q[5], q[6];\ncx q[11], q[6];\nrz(0.1171) q[6];\ncx q[11], q[6];\nrz(0.1757) q[3];\nrz(0.5271) q[9];\nrz(0.3514) q[1];\nrz(0.41) q[4];\nrz(0.5857) q[13];\nrz(0.1757) q[8];\nrz(0.41) q[7];\nrz(0.1757) q[10];\nrz(0.2343) q[12];\nrz(0.1757) q[0];\nrz(0.3514) q[2];\nrz(0.41) q[5];\nrz(0.1757) q[11];\nrz(0.2343) q[6];\nh q[0];\nrz(-0.3684) q[0];\nh q[0];\nh q[1];\nrz(-0.3684) q[1];\nh q[1];\nh q[2];\nrz(-0.3684) q[2];\nh q[2];\nh q[3];\nrz(-0.3684) q[3];\nh q[3];\nh q[4];\nrz(-0.3684) q[4];\nh q[4];\nh q[5];\nrz(-0.3684) q[5];\nh q[5];\nh q[6];\nrz(-0.3684) q[6];\nh q[6];\nh q[7];\nrz(-0.3684) q[7];\nh q[7];\nh q[8];\nrz(-0.3684) q[8];\nh q[8];\nh q[9];\nrz(-0.3684) q[9];\nh q[9];\nh q[10];\nrz(-0.3684) q[10];\nh q[10];\nh q[11];\nrz(-0.3684) q[11];\nh q[11];\nh q[12];\nrz(-0.3684) q[12];\nh q[12];\nh q[13];\nrz(-0.3684) q[13];\nh q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\ncx q[3], q[9];\nrz(x0) q[9];\ncx q[3], q[9];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[9], q[1];\nrz(x1) q[1];\ncx q[9], q[1];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[9], q[4];\nrz(x0) q[4];\ncx q[9], q[4];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[3], q[13];\nrz(x2) q[13];\ncx q[3], q[13];\ncx q[9], q[13];\nrz(x1) q[13];\ncx q[9], q[13];\ncx q[1], q[13];\nrz(x0) q[13];\ncx q[1], q[13];\ncx q[4], q[13];\nrz(x1) q[13];\ncx q[4], q[13];\ncx q[9], q[8];\nrz(x0) q[8];\ncx q[9], q[8];\ncx q[4], q[8];\nrz(x1) q[8];\ncx q[4], q[8];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[9], q[7];\nrz(x3) q[7];\ncx q[9], q[7];\ncx q[1], q[7];\nrz(x1) q[7];\ncx q[1], q[7];\ncx q[13], q[7];\nrz(x0) q[7];\ncx q[13], q[7];\ncx q[8], q[7];\nrz(x1) q[7];\ncx q[8], q[7];\ncx q[9], q[10];\nrz(x1) q[10];\ncx q[9], q[10];\ncx q[13], q[10];\nrz(x1) q[10];\ncx q[13], q[10];\ncx q[7], q[10];\nrz(x1) q[10];\ncx q[7], q[10];\ncx q[3], q[12];\nrz(x1) q[12];\ncx q[3], q[12];\ncx q[4], q[12];\nrz(x2) q[12];\ncx q[4], q[12];\ncx q[13], q[12];\nrz(x1) q[12];\ncx q[13], q[12];\ncx q[8], q[12];\nrz(x0) q[12];\ncx q[8], q[12];\ncx q[10], q[12];\nrz(x1) q[12];\ncx q[10], q[12];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[9], q[0];\nrz(x2) q[0];\ncx q[9], q[0];\ncx q[4], q[0];\nrz(x1) q[0];\ncx q[4], q[0];\ncx q[13], q[0];\nrz(x1) q[0];\ncx q[13], q[0];\ncx q[7], q[0];\nrz(x0) q[0];\ncx q[7], q[0];\ncx q[3], q[2];\nrz(x1) q[2];\ncx q[3], q[2];\ncx q[9], q[2];\nrz(x0) q[2];\ncx q[9], q[2];\ncx q[4], q[2];\nrz(x1) q[2];\ncx q[4], q[2];\ncx q[13], q[2];\nrz(x0) q[2];\ncx q[13], q[2];\ncx q[8], q[2];\nrz(x1) q[2];\ncx q[8], q[2];\ncx q[12], q[2];\nrz(x1) q[2];\ncx q[12], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[13], q[5];\nrz(x2) q[5];\ncx q[13], q[5];\ncx q[7], q[5];\nrz(x1) q[5];\ncx q[7], q[5];\ncx q[10], q[5];\nrz(x1) q[5];\ncx q[10], q[5];\ncx q[12], q[5];\nrz(x2) q[5];\ncx q[12], q[5];\ncx q[3], q[11];\nrz(x0) q[11];\ncx q[3], q[11];\ncx q[1], q[11];\nrz(x1) q[11];\ncx q[1], q[11];\ncx q[7], q[11];\nrz(x1) q[11];\ncx q[7], q[11];\ncx q[5], q[11];\nrz(x2) q[11];\ncx q[5], q[11];\ncx q[1], q[6];\nrz(x1) q[6];\ncx q[1], q[6];\ncx q[13], q[6];\nrz(x2) q[6];\ncx q[13], q[6];\ncx q[8], q[6];\nrz(x0) q[6];\ncx q[8], q[6];\ncx q[7], q[6];\nrz(x1) q[6];\ncx q[7], q[6];\ncx q[10], q[6];\nrz(x1) q[6];\ncx q[10], q[6];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[11], q[6];\nrz(x2) q[6];\ncx q[11], q[6];\nrz(x0) q[3];\nrz(x4) q[9];\nrz(x5) q[1];\nrz(x6) q[4];\nrz(x7) q[13];\nrz(x0) q[8];\nrz(x6) q[7];\nrz(x0) q[10];\nrz(x3) q[12];\nrz(x0) q[0];\nrz(x5) q[2];\nrz(x6) q[5];\nrz(x0) q[11];\nrz(x3) q[6];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\nh q[8];\nrz(x8) q[8];\nh q[8];\nh q[9];\nrz(x8) q[9];\nh q[9];\nh q[10];\nrz(x8) q[10];\nh q[10];\nh q[11];\nrz(x8) q[11];\nh q[11];\nh q[12];\nrz(x8) q[12];\nh q[12];\nh q[13];\nrz(x8) q[13];\nh q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];",null,"{\"circuits\": [], \"gradients\": []}"]
["9994d9c0864e8ab88d6d9169e088b46e","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 7, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 5}, {\"weight\": 11, \"source\": 0, \"target\": 4}, {\"weight\": 20, \"source\": 1, \"target\": 6}, {\"weight\": 19, \"source\": 1, \"target\": 4}, {\"weight\": 10, \"source\": 2, \"target\": 3}, {\"weight\": 19, \"source\": 2, \"target\": 5}, {\"weight\": 5, \"source\": 4, \"target\": 5}]}","{\"states\": [126, 122], \"expectation_value\": -15.398110541692448, \"params\": [[0.027800000000000002, 0.0201], [-0.0478, -0.0664]], \"bitstrings\": [\"10000001\", \"10000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.009452362598256702, 0.010727038530177636], \"optimization_time\": 3.228362798690796}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 * Z(2) + 10.0 * Z(4) + 17.5 * Z(3) + 13.5 * Z(6) + 1.0 * Z(5) + 10.5 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-65.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -59.5, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0.2224) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.2224) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.2224) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(0.2224) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(0.2224) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.2224) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(0.2224) q[3];\ncx q[4], q[3];\ncx q[2], q[6];\nrz(0.2224) q[6];\ncx q[2], q[6];\ncx q[6], q[5];\nrz(0.2224) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(0.2224) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(0.2224) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.2224) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(0.2224) q[7];\ncx q[6], q[7];\nrz(0.7506) q[1];\nrz(0.6394) q[0];\nrz(0.7784) q[2];\nrz(0.556) q[4];\nrz(0.973) q[3];\nrz(0.7506) q[6];\nrz(0.0556) q[5];\nrz(0.5838) q[7];\nh q[0];\nrz(-0.0956) q[0];\nh q[0];\nh q[1];\nrz(-0.0956) q[1];\nh q[1];\nh q[2];\nrz(-0.0956) q[2];\nh q[2];\nh q[3];\nrz(-0.0956) q[3];\nh q[3];\nh q[4];\nrz(-0.0956) q[4];\nh q[4];\nh q[5];\nrz(-0.0956) q[5];\nh q[5];\nh q[6];\nrz(-0.0956) q[6];\nh q[6];\nh q[7];\nrz(-0.0956) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1608) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1608) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1608) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(0.1608) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(0.1608) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(0.1608) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(0.1608) q[3];\ncx q[4], q[3];\ncx q[2], q[6];\nrz(0.1608) q[6];\ncx q[2], q[6];\ncx q[6], q[5];\nrz(0.1608) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(0.1608) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(0.1608) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(0.1608) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(0.1608) q[7];\ncx q[6], q[7];\nrz(0.5427) q[1];\nrz(0.4623) q[0];\nrz(0.5628) q[2];\nrz(0.402) q[4];\nrz(0.7035) q[3];\nrz(0.5427) q[6];\nrz(0.0402) q[5];\nrz(0.4221) q[7];\nh q[0];\nrz(-0.1328) q[0];\nh q[0];\nh q[1];\nrz(-0.1328) q[1];\nh q[1];\nh q[2];\nrz(-0.1328) q[2];\nh q[2];\nh q[3];\nrz(-0.1328) q[3];\nh q[3];\nh q[4];\nrz(-0.1328) q[4];\nh q[4];\nh q[5];\nrz(-0.1328) q[5];\nh q[5];\nh q[6];\nrz(-0.1328) q[6];\nh q[6];\nh q[7];\nrz(-0.1328) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(x0) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(x0) q[3];\ncx q[4], q[3];\ncx q[2], q[6];\nrz(x0) q[6];\ncx q[2], q[6];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x0) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[4];\nrz(x5) q[3];\nrz(x1) q[6];\nrz(x6) q[5];\nrz(x7) q[7];\nh q[0];\nrz(x8) q[0];\nh q[0];\nh q[1];\nrz(x8) q[1];\nh q[1];\nh q[2];\nrz(x8) q[2];\nh q[2];\nh q[3];\nrz(x8) q[3];\nh q[3];\nh q[4];\nrz(x8) q[4];\nh q[4];\nh q[5];\nrz(x8) q[5];\nh q[5];\nh q[6];\nrz(x8) q[6];\nh q[6];\nh q[7];\nrz(x8) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x9) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x9) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x9) q[2];\ncx q[0], q[2];\ncx q[0], q[4];\nrz(x9) q[4];\ncx q[0], q[4];\ncx q[1], q[3];\nrz(x9) q[3];\ncx q[1], q[3];\ncx q[0], q[3];\nrz(x9) q[3];\ncx q[0], q[3];\ncx q[4], q[3];\nrz(x9) q[3];\ncx q[4], q[3];\ncx q[2], q[6];\nrz(x9) q[6];\ncx q[2], q[6];\ncx q[6], q[5];\nrz(x9) q[5];\ncx q[6], q[5];\ncx q[1], q[7];\nrz(x9) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x9) q[7];\ncx q[2], q[7];\ncx q[3], q[7];\nrz(x9) q[7];\ncx q[3], q[7];\ncx q[6], q[7];\nrz(x9) q[7];\ncx q[6], q[7];\nrz(x10) q[1];\nrz(x11) q[0];\nrz(x12) q[2];\nrz(x13) q[4];\nrz(x14) q[3];\nrz(x10) q[6];\nrz(x15) q[5];\nrz(x16) q[7];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"near_perfect\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["a0d9e7890df5adf810df05a9e670aeef","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"weight\": 5, \"source\": 0, \"target\": 1}, {\"weight\": 12, \"source\": 0, \"target\": 2}, {\"weight\": 13, \"source\": 0, \"target\": 5}, {\"weight\": 19, \"source\": 1, \"target\": 3}, {\"weight\": 20, \"source\": 1, \"target\": 5}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 3, \"target\": 4}, {\"weight\": 7, \"source\": 4, \"target\": 5}]}","{\"states\": [174, 122], \"expectation_value\": -19.689490987139184, \"params\": [[-0.0346, 0.0041], [0.0709, 0.0703]], \"bitstrings\": [\"01010001\", \"10000101\"], \"total_optimization_steps\": 10, \"probabilities\": [0.010013349873695288, 0.012871900165226628], \"optimization_time\": 3.3995208740234375}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + 10.5 * Z(0) + 14.5 * Z(2) + 17.5 * Z(3) + 18.0 * Z(4) + 6.0 * Z(5) + 9.5 * Z(6) + 7.5 * Z(7)",1,8,2,"{\"smallest_eigenvalues\": [-69.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -60.5, \"smallest_bitstrings\": [\"10000101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(-0.2768) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.2768) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.2768) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.2768) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(-0.2768) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.2768) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.2768) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.2768) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(-0.2768) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(-0.2768) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.2768) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(-0.2768) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(-0.2768) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(-0.2768) q[7];\ncx q[6], q[7];\nrz(-0.692) q[1];\nrz(-0.7266) q[0];\nrz(-1.0034) q[2];\nrz(-1.211) q[3];\nrz(-1.2456) q[4];\nrz(-0.4152) q[5];\nrz(-0.6574) q[6];\nrz(-0.519) q[7];\nh q[0];\nrz(0.1418) q[0];\nh q[0];\nh q[1];\nrz(0.1418) q[1];\nh q[1];\nh q[2];\nrz(0.1418) q[2];\nh q[2];\nh q[3];\nrz(0.1418) q[3];\nh q[3];\nh q[4];\nrz(0.1418) q[4];\nh q[4];\nh q[5];\nrz(0.1418) q[5];\nh q[5];\nh q[6];\nrz(0.1418) q[6];\nh q[6];\nh q[7];\nrz(0.1418) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0328) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0328) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0328) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0328) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(0.0328) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(0.0328) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(0.0328) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(0.0328) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(0.0328) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(0.0328) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(0.0328) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(0.0328) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(0.0328) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0328) q[7];\ncx q[6], q[7];\nrz(0.082) q[1];\nrz(0.0861) q[0];\nrz(0.1189) q[2];\nrz(0.1435) q[3];\nrz(0.1476) q[4];\nrz(0.0492) q[5];\nrz(0.0779) q[6];\nrz(0.0615) q[7];\nh q[0];\nrz(0.1406) q[0];\nh q[0];\nh q[1];\nrz(0.1406) q[1];\nh q[1];\nh q[2];\nrz(0.1406) q[2];\nh q[2];\nh q[3];\nrz(0.1406) q[3];\nh q[3];\nh q[4];\nrz(0.1406) q[4];\nh q[4];\nh q[5];\nrz(0.1406) q[5];\nh q[5];\nh q[6];\nrz(0.1406) q[6];\nh q[6];\nh q[7];\nrz(0.1406) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x0) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x3) q[2];\nrz(x4) q[3];\nrz(x5) q[4];\nrz(x6) q[5];\nrz(x7) q[6];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[0], q[4];\nrz(x10) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x10) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x10) q[5];\ncx q[1], q[5];\ncx q[3], q[5];\nrz(x10) q[5];\ncx q[3], q[5];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[2], q[7];\nrz(x10) q[7];\ncx q[2], q[7];\ncx q[4], q[7];\nrz(x10) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x10) q[7];\ncx q[6], q[7];\nrz(x11) q[1];\nrz(x12) q[0];\nrz(x13) q[2];\nrz(x14) q[3];\nrz(x15) q[4];\nrz(x16) q[5];\nrz(x17) q[6];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum\", \"extra\": \"{\\\"n\\\": 7}\"}","{\"circuits\": [], \"gradients\": []}"]
["bd450980ecb62a263062b6b855a443ea","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 1}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 5, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 1}, {\"capacity\": 4, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}]}","{\"states\": [31, 27], \"expectation_value\": -5.88727440555093, \"params\": null, \"bitstrings\": [\"1100000\", \"1100100\"], \"total_optimization_steps\": 40, \"probabilities\": [0.41295864328490506, 0.41295864328490506], \"optimization_time\": 34.904181241989136}","-1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-6.5, -6.5, -6.5], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"1100100\", \"1100000\", \"1110100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) q[5];\ncry(1.5681) q[6], q[3];\nry(1.0378) q[6];\ncry(-1.5705) q[6], q[0];\ncry(-1.5707) q[5], q[1];\nry(0.4432) q[3];\ncry(0.2657) q[5], q[6];\ncry(1.4449) q[5], q[2];\ncry(0.1283) q[5], q[3];\ncry(0.0507) q[3], q[6];\ncry(-0.0497) q[3], q[0];\ncry(-0.3386) q[0], q[3];\nry(0.0498) q[0];\nry(0.1188) q[2];\ncry(-0.1724) q[0], q[6];\ncry(0.0199) q[2], q[0];\ncry(0.0206) q[2], q[3];\ncry(-0.0001) q[2], q[1];\ncry(0.0014) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}",{"$cut":{"chars":24768,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\ncry(0.2657) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\ncry(0.2657) q[5], q[6];\\ncry(1.4449) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\ncry(0.2657) q[5], q[6];\\ncry(1.4449) q[5], q[2];\\ncry(0.1283) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5681) q[5];\\ncry(1.5681) q[6], q[3];\\nry(1.0378) q[6];\\ncry(-1.5705) q[6], q[0];\\ncry(-1.5707) q[5], q[1];\\nry(0.4432) q[3];\\ncry(0.2657) q[5], q[6];\\ncry(1.4449) q[5], q[2];\\ncry(0.1283) q[5], q[3];\\ncry(0.0507) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = mea"}}]
["20a60ed013bc1976376f734be7d8d92c","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}]}","{\"states\": [1, 9], \"expectation_value\": -0.9981513132393406, \"params\": [[[0.8341000000000001, 0.0016], [0.2073, -0.35450000000000004], [0.21330000000000002, 0.3438], [0.8353, 0.0013000000000000002]], [[0.8386, 0.0034000000000000002], [0.2132, 0.0037], [0.21810000000000002, 0.0014], [0.8392000000000001, 0.0047]]], \"bitstrings\": [\"1110\", \"0110\"], \"total_optimization_steps\": 90, \"probabilities\": [0.2268134593401967, 0.2781632134770438], \"optimization_time\": 2.8101022243499756}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3)",1,4,2,"{\"smallest_eigenvalues\": [-2.0, -2.0], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"1001\", \"0110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nrx(0.8341) q[0];\nrz(0.0016) q[0];\nrx(0.2073) q[1];\nrz(-0.3545) q[1];\nrx(0.2133) q[2];\nrz(0.3438) q[2];\nrx(0.8353) q[3];\nrz(0.0013) q[3];\nrx(0.8386) q[0];\nrz(0.0034) q[0];\nrx(0.2132) q[1];\nrz(0.0037) q[1];\nrx(0.2181) q[2];\nrz(0.0014) q[2];\nrx(0.8392) q[3];\nrz(0.0047) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[4] c;\nqubit[4] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[0];\nrz(x9) q[0];\nrx(x10) q[1];\nrz(x11) q[1];\nrx(x12) q[2];\nrz(x13) q[2];\nrx(x14) q[3];\nrz(x15) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];",null,"{\"circuits\": [], \"gradients\": []}"]
["-7113729499938187556","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5], \"hyperedges\": [[0, 2], [0, 5], [2, 5], [4, 5], [1, 4], [1, 5], [2, 4], [2, 3]]}","{\"states\": [7, 56], \"expectation_value\": -0.0985388506456409, \"params\": [[-0.08420000000000001], [0.0755]], \"bitstrings\": [\"111000\", \"000111\"], \"total_optimization_steps\": 10, \"probabilities\": [0.01722940106904087, 0.01722940106904087], \"optimization_time\": 2.315836191177368}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3)",1,6,1,"{\"smallest_eigenvalues\": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"111000\", \"110110\", \"100111\", \"100110\", \"001001\", \"000111\", \"011000\", \"011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(-0.0842) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(-0.0842) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(-0.0842) q[5];\ncx q[0], q[5];\ncx q[2], q[4];\nrz(-0.0842) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(-0.0842) q[4];\ncx q[5], q[4];\ncx q[5], q[1];\nrz(-0.0842) q[1];\ncx q[5], q[1];\ncx q[4], q[1];\nrz(-0.0842) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(-0.0842) q[3];\ncx q[2], q[3];\nrz(0) q[2];\nrz(0) q[0];\nrz(0) q[5];\nrz(0) q[4];\nrz(0) q[1];\nrz(0) q[3];\nh q[0];\nrz(0.151) q[0];\nh q[0];\nh q[1];\nrz(0.151) q[1];\nh q[1];\nh q[2];\nrz(0.151) q[2];\nh q[2];\nh q[3];\nrz(0.151) q[3];\nh q[3];\nh q[4];\nrz(0.151) q[4];\nh q[4];\nh q[5];\nrz(0.151) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x2;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[4], q[1];\nrz(x0) q[1];\ncx q[4], q[1];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\nrz(x1) q[2];\nrz(x1) q[0];\nrz(x1) q[5];\nrz(x1) q[4];\nrz(x1) q[1];\nrz(x1) q[3];\nh q[0];\nrz(x2) q[0];\nh q[0];\nh q[1];\nrz(x2) q[1];\nh q[1];\nh q[2];\nrz(x2) q[2];\nh q[2];\nh q[3];\nrz(x2) q[3];\nh q[3];\nh q[4];\nrz(x2) q[4];\nh q[4];\nh q[5];\nrz(x2) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["-6989154005446686930","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[1, 5], [0, 6], [2, 4], [3, 6]]}","{\"states\": [90, 78], \"expectation_value\": -1.8391930009208826, \"params\": null, \"bitstrings\": [\"0100101\", \"0110001\"], \"total_optimization_steps\": 49, \"probabilities\": [0.05012949413270047, 0.7317076875442983], \"optimization_time\": 38.91479778289795}","0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3)",1,7,1,"{\"smallest_eigenvalues\": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -1.0, \"smallest_bitstrings\": [\"0010011\", \"1101100\", \"0100101\", \"0110001\", \"1011010\", \"1001110\", \"1111000\", \"0000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], q[6];\ncry(-1.0342) q[4], q[2];\ncry(-1.0342) q[5], q[1];\nry(0.7003) q[3];\ncry(-0.7092) q[0], q[6];\ncry(1.1516) q[3], q[0];\nry(0.7003) q[5];\nry(0.7003) q[4];\nry(-0.4549) q[2];\nry(-0.4549) q[1];\ncry(0.4694) q[0], q[5];\ncry(0.4781) q[5], q[4];\ncry(0.4386) q[0], q[3];\nry(-0.3186) q[6];\ncry(-0.3575) q[5], q[2];\ncry(-0.3471) q[0], q[1];\ncry(0.2673) q[4], q[5];\nry(0.2604) q[0];\ncry(0.2584) q[0], q[4];\ncry(-0.181) q[4], q[1];\ncry(-0.165) q[0], q[2];\ncry(0.1454) q[4], q[3];\ncry(-0.1098) q[5], q[6];\ncry(0.118) q[3], q[5];\ncry(0.1093) q[3], q[4];\ncry(-0.2178) q[6], q[0];\ncry(-0.2084) q[6], q[3];\ncry(0.0799) q[4], q[6];\ncry(-0.0676) q[3], q[2];\ncry(-0.0534) q[3], q[1];\ncry(0.0539) q[5], q[3];\ncry(0.0491) q[5], q[0];\ncry(0.0715) q[6], q[5];\ncry(0.058) q[1], q[4];\ncry(0.0514) q[6], q[4];\ncry(0.0413) q[2], q[5];\ncry(-0.0377) q[1], q[5];\ncry(0.034) q[2], q[6];\ncry(-0.0339) q[2], q[4];\ncry(-0.0206) q[6], q[1];\ncry(0.0202) q[2], q[3];\ncry(-0.0167) q[6], q[2];\ncry(-0.0145) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,{"$cut":{"chars":42874,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[4], q[2];\\ncry(-1.0342) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[4], q[2];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[4], q[2];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[4], q[2];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[6];\\ncry(1.1516) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[4], q[2];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[6];\\ncry(1.1516) q[3], q[0];\\nry(0.7003) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[4], q[2];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[6];\\ncry(1.1516) q[3], q[0];\\nry(0.7003) q[5];\\nry(0.7003) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[4], q[2];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[6];\\ncry(1.1516) q[3], q[0];\\nry(0.7003) q[5];\\nry(0.7003) q[4];\\nry(-0.4549) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\ncry(-1.0342) q[3], q[6];\\ncry(-1.0342) q[4], q[2];\\ncry(-1.0342) q[5], q[1];\\nry(0.7003) q[3];\\ncry(-0.7092) q[0], q[6];\\ncry(1.1516) q[3], q[0];\\nry(0.7003) q[5];\\nry(0.7003) q[4];\\nry(-0.4549) q[2];\\nry(-0.4549) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = meas"}}]
["-7461145682628880774","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 3, 4, 6], [0, 4, 6, 7, 8], [0, 1, 4, 6, 7], [8, 1, 4, 7], [0, 1, 2, 3, 4, 5, 8], [1, 2, 3, 4, 5, 6, 8], [0, 2, 3, 5, 7], [0, 1, 3, 5, 6, 8], [0, 1, 2, 5, 7]]}","{\"states\": [231, 487], \"expectation_value\": -1.6494508714869467, \"params\": [1.4423000000000001, 0.4379, 0.8326, 0.0015, 1.469, 0.1105, 1.3834, 0.008700000000000001, 1.4193, 0.1269, 1.3168, 0.0031000000000000003, 1.4442000000000002, 0.1607, 1.4195, 0.008400000000000001, 0.9684, 0.4988, 0.7159, 0.0091, 1.1031, -0.3765, 0.9782000000000001, 0.0018000000000000002, 1.4662000000000002, 0.046700000000000005, 1.2408000000000001, 0.0049, 1.4687000000000001, 0.1009, 1.3893, 0.0011, 1.4402000000000001, 0.124, 1.3547, 0.009300000000000001, 0.2979, -0.014400000000000001, -0.0707, -0.020800000000000003, 0.5033, -0.48190000000000005, 0.0094, -0.0022, -0.0079], \"bitstrings\": [\"100011000\", \"000011000\"], \"total_optimization_steps\": 150, \"probabilities\": [0.29027283106963847, 0.3089821269572315], \"optimization_time\": 52.63397026062012}","0.19047619047619047 * (Z(0) @ Z(3)) + 0.13095238095238093 * (Z(4) @ Z(3)) + 0.20714285714285716 * (Z(4) @ Z(0)) + 0.14047619047619048 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.20714285714285716 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.2 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(6)) + 0.08095238095238094 * (Z(8) @ Z(3)) + 0.10714285714285715 * (Z(8) @ Z(0)) + 0.18095238095238095 * (Z(8) @ Z(4)) + 0.10714285714285715 * (Z(8) @ Z(6)) + 0.13333333333333333 * (Z(8) @ Z(7)) + 0.08095238095238094 * (Z(1) @ Z(3)) + 0.15714285714285714 * (Z(1) @ Z(0)) + 0.18095238095238095 * (Z(1) @ Z(4)) + 0.10714285714285715 * (Z(1) @ Z(6)) + 0.18333333333333335 * (Z(1) @ Z(7)) + 0.16428571428571426 * (Z(1) @ Z(8)) + 0.09761904761904762 * (Z(2) @ Z(3)) + 0.12380952380952381 * (Z(2) @ Z(0)) + 0.047619047619047616 * (Z(2) @ Z(4)) + 0.023809523809523808 * (Z(2) @ Z(6)) + 0.1 * (Z(2) @ Z(7)) + 0.047619047619047616 * (Z(2) @ Z(8)) + 0.09761904761904762 * (Z(2) @ Z(1)) + 0.13095238095238096 * (Z(5) @ Z(3)) + 0.15714285714285714 * (Z(5) @ Z(0)) + 0.047619047619047616 * (Z(5) @ Z(4)) + 0.05714285714285714 * (Z(5) @ Z(6)) + 0.1 * (Z(5) @ Z(7)) + 0.08095238095238094 * (Z(5) @ Z(8)) + 0.13095238095238093 * (Z(5) @ Z(1)) + 0.14761904761904762 * (Z(5) @ Z(2)) + 0.451190476190476 * Z(3) + 0.6797619047619048 * Z(0) + 0.5928571428571431 * Z(4) + 0.4797619047619048 * Z(6) + 0.525 * Z(7) + 0.4511904761904761 * Z(8) + 0.551190476190476 * Z(1) + 0.34285714285714286 * Z(2) + 0.4261904761904761 * Z(5)",5,9,1,"{\"smallest_eigenvalues\": [-1.8476190476190473], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.833333333333333, \"smallest_bitstrings\": [\"000011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(1.4423) q[0];\nrz(0.4379) q[0];\nrx(1.469) q[1];\nrz(0.1105) q[1];\nrx(1.4193) q[2];\nrz(0.1269) q[2];\nrx(1.4442) q[3];\nrz(0.1607) q[3];\nrx(0.9684) q[4];\nrz(0.4988) q[4];\nrx(1.1031) q[5];\nrz(-0.3765) q[5];\nrx(1.4662) q[6];\nrz(0.0467) q[6];\nrx(1.4687) q[7];\nrz(0.1009) q[7];\nrx(1.4402) q[8];\nrz(0.124) q[8];\ncrz(-0.0022) q[8], q[7];\ncrz(0.0094) q[8], q[6];\ncrz(-0.4819) q[8], q[5];\ncrz(0.5033) q[8], q[4];\ncrz(-0.0208) q[8], q[3];\ncrz(-0.0707) q[8], q[2];\ncrz(-0.0144) q[8], q[1];\ncrz(0.2979) q[8], q[0];\ncrz(-0.0079) q[7], q[8];\ncrz(0.0094) q[7], q[6];\ncrz(-0.4819) q[7], q[5];\ncrz(0.5033) q[7], q[4];\ncrz(-0.0208) q[7], q[3];\ncrz(-0.0707) q[7], q[2];\ncrz(-0.0144) q[7], q[1];\ncrz(0.2979) q[7], q[0];\ncrz(-0.0079) q[6], q[8];\ncrz(-0.0022) q[6], q[7];\ncrz(-0.4819) q[6], q[5];\ncrz(0.5033) q[6], q[4];\ncrz(-0.0208) q[6], q[3];\ncrz(-0.0707) q[6], q[2];\ncrz(-0.0144) q[6], q[1];\ncrz(0.2979) q[6], q[0];\ncrz(-0.0079) q[5], q[8];\ncrz(-0.0022) q[5], q[7];\ncrz(0.0094) q[5], q[6];\ncrz(0.5033) q[5], q[4];\ncrz(-0.0208) q[5], q[3];\ncrz(-0.0707) q[5], q[2];\ncrz(-0.0144) q[5], q[1];\ncrz(0.2979) q[5], q[0];\ncrz(-0.0079) q[4], q[8];\ncrz(-0.0022) q[4], q[7];\ncrz(0.0094) q[4], q[6];\ncrz(-0.4819) q[4], q[5];\ncrz(-0.0208) q[4], q[3];\ncrz(-0.0707) q[4], q[2];\ncrz(-0.0144) q[4], q[1];\ncrz(0.2979) q[4], q[0];\ncrz(-0.0079) q[3], q[8];\ncrz(-0.0022) q[3], q[7];\ncrz(0.0094) q[3], q[6];\ncrz(-0.4819) q[3], q[5];\ncrz(0.5033) q[3], q[4];\ncrz(-0.0707) q[3], q[2];\ncrz(-0.0144) q[3], q[1];\ncrz(0.2979) q[3], q[0];\ncrz(-0.0079) q[2], q[8];\ncrz(-0.0022) q[2], q[7];\ncrz(0.0094) q[2], q[6];\ncrz(-0.4819) q[2], q[5];\ncrz(0.5033) q[2], q[4];\ncrz(-0.0208) q[2], q[3];\ncrz(-0.0144) q[2], q[1];\ncrz(0.2979) q[2], q[0];\ncrz(-0.0079) q[1], q[8];\ncrz(-0.0022) q[1], q[7];\ncrz(0.0094) q[1], q[6];\ncrz(-0.4819) q[1], q[5];\ncrz(0.5033) q[1], q[4];\ncrz(-0.0208) q[1], q[3];\ncrz(-0.0707) q[1], q[2];\ncrz(0.2979) q[1], q[0];\ncrz(-0.0079) q[0], q[8];\ncrz(-0.0022) q[0], q[7];\ncrz(0.0094) q[0], q[6];\ncrz(-0.4819) q[0], q[5];\ncrz(0.5033) q[0], q[4];\ncrz(-0.0208) q[0], q[3];\ncrz(-0.0707) q[0], q[2];\ncrz(-0.0144) q[0], q[1];\nrx(0.8326) q[0];\nrz(0.0015) q[0];\nrx(1.3834) q[1];\nrz(0.0087) q[1];\nrx(1.3168) q[2];\nrz(0.0031) q[2];\nrx(1.4195) q[3];\nrz(0.0084) q[3];\nrx(0.7159) q[4];\nrz(0.0091) q[4];\nrx(0.9782) q[5];\nrz(0.0018) q[5];\nrx(1.2408) q[6];\nrz(0.0049) q[6];\nrx(1.3893) q[7];\nrz(0.0011) q[7];\nrx(1.3547) q[8];\nrz(0.0093) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[7];\ncrz(x19) q[8], q[6];\ncrz(x20) q[8], q[5];\ncrz(x21) q[8], q[4];\ncrz(x22) q[8], q[3];\ncrz(x23) q[8], q[2];\ncrz(x24) q[8], q[1];\ncrz(x25) q[8], q[0];\ncrz(x26) q[7], q[8];\ncrz(x19) q[7], q[6];\ncrz(x20) q[7], q[5];\ncrz(x21) q[7], q[4];\ncrz(x22) q[7], q[3];\ncrz(x23) q[7], q[2];\ncrz(x24) q[7], q[1];\ncrz(x25) q[7], q[0];\ncrz(x26) q[6], q[8];\ncrz(x18) q[6], q[7];\ncrz(x20) q[6], q[5];\ncrz(x21) q[6], q[4];\ncrz(x22) q[6], q[3];\ncrz(x23) q[6], q[2];\ncrz(x24) q[6], q[1];\ncrz(x25) q[6], q[0];\ncrz(x26) q[5], q[8];\ncrz(x18) q[5], q[7];\ncrz(x19) q[5], q[6];\ncrz(x21) q[5], q[4];\ncrz(x22) q[5], q[3];\ncrz(x23) q[5], q[2];\ncrz(x24) q[5], q[1];\ncrz(x25) q[5], q[0];\ncrz(x26) q[4], q[8];\ncrz(x18) q[4], q[7];\ncrz(x19) q[4], q[6];\ncrz(x20) q[4], q[5];\ncrz(x22) q[4], q[3];\ncrz(x23) q[4], q[2];\ncrz(x24) q[4], q[1];\ncrz(x25) q[4], q[0];\ncrz(x26) q[3], q[8];\ncrz(x18) q[3], q[7];\ncrz(x19) q[3], q[6];\ncrz(x20) q[3], q[5];\ncrz(x21) q[3], q[4];\ncrz(x23) q[3], q[2];\ncrz(x24) q[3], q[1];\ncrz(x25) q[3], q[0];\ncrz(x26) q[2], q[8];\ncrz(x18) q[2], q[7];\ncrz(x19) q[2], q[6];\ncrz(x20) q[2], q[5];\ncrz(x21) q[2], q[4];\ncrz(x22) q[2], q[3];\ncrz(x24) q[2], q[1];\ncrz(x25) q[2], q[0];\ncrz(x26) q[1], q[8];\ncrz(x18) q[1], q[7];\ncrz(x19) q[1], q[6];\ncrz(x20) q[1], q[5];\ncrz(x21) q[1], q[4];\ncrz(x22) q[1], q[3];\ncrz(x23) q[1], q[2];\ncrz(x25) q[1], q[0];\ncrz(x26) q[0], q[8];\ncrz(x18) q[0], q[7];\ncrz(x19) q[0], q[6];\ncrz(x20) q[0], q[5];\ncrz(x21) q[0], q[4];\ncrz(x22) q[0], q[3];\ncrz(x23) q[0], q[2];\ncrz(x24) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["aba606cef9b0d037570e7cfc8ff24754","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 1, \"target\": 7}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 2, \"target\": 8}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 3, \"target\": 8}, {\"source\": 4, \"target\": 6}, {\"source\": 4, \"target\": 8}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 7}, {\"source\": 6, \"target\": 8}]}","{\"states\": [272, 280], \"expectation_value\": -7.7011623243256535, \"params\": [0.3992, 0.40140000000000003, -0.003, -0.0051, -0.0036000000000000003, -0.0086, 0.0049, 0.0015, 0.39380000000000004, 0.401, 0.31, 0.3164, 0.003, -0.0034000000000000002, 0.17470000000000002, 0.1699, 0.14350000000000002, 0.1383, 0.4055, 0.4022, -0.0013000000000000002, -0.0099, -0.0057, -0.0015, 0.0053, 0.003, 0.39280000000000004, 0.4, 0.31270000000000003, 0.3169, 0.0009000000000000001, -0.004200000000000001, 0.1724, 0.1753, 0.1406, 0.1291, 0.3975, 0.40440000000000004, -0.0013000000000000002, -0.0036000000000000003, -0.006900000000000001, -0.0038, 0.0027, 0.0047, 0.40130000000000005, 0.4012, 0.3115, 0.3116, -0.006200000000000001, -0.003, 0.1716, 0.1764, 0.1301, 0.11040000000000001, 0.3735, 0.2338, -0.0064, 0.11130000000000001, 0.24780000000000002, 0.0006000000000000001, -0.21980000000000002, -0.1496, 0.2409, -0.17800000000000002, -0.0014, 0.2574, -0.0054, 0.031, 0.309, 0.013900000000000001, 0.1317, 0.1648, 0.38280000000000003, 0.17930000000000001, -0.007, 0.04, -0.16040000000000001, 0.007200000000000001, -0.1915, -0.0039000000000000003, 0.2495, -0.09330000000000001, 0.08320000000000001, 0.0884, -0.0043, 0.16490000000000002, 0.17550000000000002, 0.0618, 0.12150000000000001, 0.1003, 0.3789, 0.16010000000000002, -0.0161, 0.0376, 0.0337, 0.0032, 0.0146, 0.044500000000000005, -0.17470000000000002, 0.2174, 0.23650000000000002, -0.2624, -0.0567, 0.3059, 0.1067, 0.014400000000000001, 0.1052, 0.275], \"bitstrings\": [\"011101111\", \"011100111\"], \"total_optimization_steps\": 40, \"probabilities\": [0.1608766244922987, 0.3180649099953227], \"optimization_time\": 45.84026837348938}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * Z(3) + -0.5 * Z(0) + -2.5 * Z(6) + -1.5 * Z(4) + -1.5 * Z(1) + -1.5 * Z(5) + -1.5 * Z(7) + -2.0 * Z(8) + -2.0 * Z(2)",14,9,3,"{\"smallest_eigenvalues\": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -7.5, \"smallest_bitstrings\": [\"011101101\", \"011110110\", \"011100111\", \"010101111\", \"011111100\", \"000111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(0.3992) q[0];\nry(-0.003) q[1];\nry(-0.0036) q[2];\nry(0.0049) q[3];\nry(0.3938) q[4];\nry(0.31) q[5];\nry(0.003) q[6];\nry(0.1747) q[7];\nry(0.1435) q[8];\ncrx(0.3735) q[8], q[0];\ncrx(0.1317) q[7], q[8];\ncrx(0.309) q[6], q[7];\ncrx(-0.0054) q[5], q[6];\ncrx(-0.0014) q[4], q[5];\ncrx(0.2409) q[3], q[4];\ncrx(-0.2198) q[2], q[3];\ncrx(0.2478) q[1], q[2];\ncrx(-0.0064) q[0], q[1];\nry(0.4014) q[0];\nry(-0.0051) q[1];\nry(-0.0086) q[2];\nry(0.0015) q[3];\nry(0.401) q[4];\nry(0.3164) q[5];\nry(-0.0034) q[6];\nry(0.1699) q[7];\nry(0.1383) q[8];\ncrx(0.2338) q[8], q[7];\ncrx(0.1113) q[0], q[8];\ncrx(0.0006) q[0], q[1];\ncrx(-0.1496) q[1], q[2];\ncrx(-0.178) q[2], q[3];\ncrx(0.2574) q[3], q[4];\ncrx(0.031) q[4], q[5];\ncrx(0.0139) q[5], q[6];\ncrx(0.1648) q[6], q[7];\nry(0.4055) q[0];\nry(-0.0013) q[1];\nry(-0.0057) q[2];\nry(0.0053) q[3];\nry(0.3928) q[4];\nry(0.3127) q[5];\nry(0.0009) q[6];\nry(0.1724) q[7];\nry(0.1406) q[8];\ncrx(0.3828) q[8], q[0];\ncrx(0.1215) q[7], q[8];\ncrx(0.1755) q[6], q[7];\ncrx(-0.0043) q[5], q[6];\ncrx(0.0832) q[4], q[5];\ncrx(0.2495) q[3], q[4];\ncrx(-0.1915) q[2], q[3];\ncrx(-0.1604) q[1], q[2];\ncrx(-0.007) q[0], q[1];\nry(0.4022) q[0];\nry(-0.0099) q[1];\nry(-0.0015) q[2];\nry(0.003) q[3];\nry(0.4) q[4];\nry(0.3169) q[5];\nry(-0.0042) q[6];\nry(0.1753) q[7];\nry(0.1291) q[8];\ncrx(0.1793) q[8], q[7];\ncrx(0.04) q[0], q[8];\ncrx(0.0072) q[0], q[1];\ncrx(-0.0039) q[1], q[2];\ncrx(-0.0933) q[2], q[3];\ncrx(0.0884) q[3], q[4];\ncrx(0.1649) q[4], q[5];\ncrx(0.0618) q[5], q[6];\ncrx(0.1003) q[6], q[7];\nry(0.3975) q[0];\nry(-0.0013) q[1];\nry(-0.0069) q[2];\nry(0.0027) q[3];\nry(0.4013) q[4];\nry(0.3115) q[5];\nry(-0.0062) q[6];\nry(0.1716) q[7];\nry(0.1301) q[8];\ncrx(0.3789) q[8], q[0];\ncrx(0.1052) q[7], q[8];\ncrx(0.1067) q[6], q[7];\ncrx(-0.0567) q[5], q[6];\ncrx(0.2365) q[4], q[5];\ncrx(-0.1747) q[3], q[4];\ncrx(0.0146) q[2], q[3];\ncrx(0.0337) q[1], q[2];\ncrx(-0.0161) q[0], q[1];\nry(0.4044) q[0];\nry(-0.0036) q[1];\nry(-0.0038) q[2];\nry(0.0047) q[3];\nry(0.4012) q[4];\nry(0.3116) q[5];\nry(-0.003) q[6];\nry(0.1764) q[7];\nry(0.1104) q[8];\ncrx(0.1601) q[8], q[7];\ncrx(0.0376) q[0], q[8];\ncrx(0.0032) q[0], q[1];\ncrx(0.0445) q[1], q[2];\ncrx(0.2174) q[2], q[3];\ncrx(-0.2624) q[3], q[4];\ncrx(0.3059) q[4], q[5];\ncrx(0.0144) q[5], q[6];\ncrx(0.275) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x31) q[2], q[3];\ncrx(x32) q[3], q[4];\ncrx(x33) q[4], q[5];\ncrx(x34) q[5], q[6];\ncrx(x35) q[6], q[7];\nry(x36) q[0];\nry(x37) q[1];\nry(x38) q[2];\nry(x39) q[3];\nry(x40) q[4];\nry(x41) q[5];\nry(x42) q[6];\nry(x43) q[7];\nry(x44) q[8];\ncrx(x45) q[8], q[0];\ncrx(x46) q[7], q[8];\ncrx(x47) q[6], q[7];\ncrx(x48) q[5], q[6];\ncrx(x49) q[4], q[5];\ncrx(x50) q[3], q[4];\ncrx(x51) q[2], q[3];\ncrx(x52) q[1], q[2];\ncrx(x53) q[0], q[1];\nry(x54) q[0];\nry(x55) q[1];\nry(x56) q[2];\nry(x6) q[3];\nry(x57) q[4];\nry(x58) q[5];\nry(x59) q[6];\nry(x60) q[7];\nry(x61) q[8];\ncrx(x62) q[8], q[7];\ncrx(x63) q[0], q[8];\ncrx(x64) q[0], q[1];\ncrx(x65) q[1], q[2];\ncrx(x66) q[2], q[3];\ncrx(x67) q[3], q[4];\ncrx(x68) q[4], q[5];\ncrx(x69) q[5], q[6];\ncrx(x70) q[6], q[7];\nry(x71) q[0];\nry(x37) q[1];\nry(x72) q[2];\nry(x73) q[3];\nry(x74) q[4];\nry(x75) q[5];\nry(x76) q[6];\nry(x77) q[7];\nry(x78) q[8];\ncrx(x79) q[8], q[0];\ncrx(x80) q[7], q[8];\ncrx(x81) q[6], q[7];\ncrx(x82) q[5], q[6];\ncrx(x83) q[4], q[5];\ncrx(x84) q[3], q[4];\ncrx(x85) q[2], q[3];\ncrx(x86) q[1], q[2];\ncrx(x87) q[0], q[1];\nry(x88) q[0];\nry(x2) q[1];\nry(x89) q[2];\nry(x90) q[3];\nry(x91) q[4];\nry(x92) q[5];\nry(x1) q[6];\nry(x93) q[7];\nry(x94) q[8];\ncrx(x95) q[8], q[7];\ncrx(x96) q[0], q[8];\ncrx(x97) q[0], q[1];\ncrx(x98) q[1], q[2];\ncrx(x99) q[2], q[3];\ncrx(x100) q[3], q[4];\ncrx(x101) q[4], q[5];\ncrx(x102) q[5], q[6];\ncrx(x103) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["-1704184987172087161","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"hyperedges\": [[0, 2, 3, 4], [4, 6], [0, 1, 3, 6, 7], [3, 5, 7], [0, 1, 3, 5], [4, 5, 7], [1, 5, 6, 7], [2, 6, 7], [0, 4, 7], [0, 1, 4]]}","{\"states\": [89, 121], \"expectation_value\": -0.056540098943507686, \"params\": [[0.054400000000000004], [-0.048600000000000004]], \"bitstrings\": [\"10100110\", \"10000110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.0040920462531482925, 0.004103369809005673], \"optimization_time\": 3.4112250804901123}","0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.3 * (Z(1) @ Z(0)) + 0.13333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.3 * (Z(7) @ Z(6)) + 0.13333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(7)) + 0.29166666666666663 * Z(2) + 0.6833333333333332 * Z(0) + 0.5166666666666666 * Z(3) + 0.625 * Z(4) + 0.3916666666666666 * Z(6) + 0.5166666666666666 * Z(1) + 0.8916666666666666 * Z(7) + 0.5833333333333333 * Z(5)",1,8,1,"{\"smallest_eigenvalues\": [-2.95], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.533333333333334, \"smallest_bitstrings\": [\"10000110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(0.0091) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(0.0091) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(0.0236) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(0.0091) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(0.0453) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(0.0091) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(0.0181) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(0.0054) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0054) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(0.0544) q[6];\ncx q[4], q[6];\ncx q[0], q[1];\nrz(0.0326) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(0.0145) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(0.0181) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(0.0145) q[1];\ncx q[6], q[1];\ncx q[2], q[7];\nrz(0.0181) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(0.0236) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(0.0236) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(0.0363) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(0.0326) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(0.0145) q[7];\ncx q[1], q[7];\ncx q[0], q[5];\nrz(0.0091) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(0.0272) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0181) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(0.0091) q[5];\ncx q[6], q[5];\ncx q[1], q[5];\nrz(0.0181) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(0.0453) q[5];\ncx q[7], q[5];\nrz(0.0317) q[2];\nrz(0.0743) q[0];\nrz(0.0562) q[3];\nrz(0.068) q[4];\nrz(0.0426) q[6];\nrz(0.0562) q[1];\nrz(0.097) q[7];\nrz(0.0635) q[5];\nh q[0];\nrz(-0.0972) q[0];\nh q[0];\nh q[1];\nrz(-0.0972) q[1];\nh q[1];\nh q[2];\nrz(-0.0972) q[2];\nh q[2];\nh q[3];\nrz(-0.0972) q[3];\nh q[3];\nh q[4];\nrz(-0.0972) q[4];\nh q[4];\nh q[5];\nrz(-0.0972) q[5];\nh q[5];\nh q[6];\nrz(-0.0972) q[6];\nh q[6];\nh q[7];\nrz(-0.0972) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[6];\nrz(x3) q[6];\ncx q[2], q[6];\ncx q[0], q[6];\nrz(x4) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x4) q[6];\ncx q[3], q[6];\ncx q[4], q[6];\nrz(x5) q[6];\ncx q[4], q[6];\ncx q[0], q[1];\nrz(x6) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x7) q[1];\ncx q[3], q[1];\ncx q[4], q[1];\nrz(x3) q[1];\ncx q[4], q[1];\ncx q[6], q[1];\nrz(x7) q[1];\ncx q[6], q[1];\ncx q[2], q[7];\nrz(x3) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(x1) q[7];\ncx q[0], q[7];\ncx q[3], q[7];\nrz(x1) q[7];\ncx q[3], q[7];\ncx q[4], q[7];\nrz(x8) q[7];\ncx q[4], q[7];\ncx q[6], q[7];\nrz(x6) q[7];\ncx q[6], q[7];\ncx q[1], q[7];\nrz(x7) q[7];\ncx q[1], q[7];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[3], q[5];\nrz(x9) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x3) q[5];\ncx q[4], q[5];\ncx q[6], q[5];\nrz(x0) q[5];\ncx q[6], q[5];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[7], q[5];\nrz(x2) q[5];\ncx q[7], q[5];\nrz(x10) q[2];\nrz(x11) q[0];\nrz(x12) q[3];\nrz(x13) q[4];\nrz(x14) q[6];\nrz(x12) q[1];\nrz(x15) q[7];\nrz(x16) q[5];\nh q[0];\nrz(x17) q[0];\nh q[0];\nh q[1];\nrz(x17) q[1];\nh q[1];\nh q[2];\nrz(x17) q[2];\nh q[2];\nh q[3];\nrz(x17) q[3];\nh q[3];\nh q[4];\nrz(x17) q[4];\nh q[4];\nh q[5];\nrz(x17) q[5];\nh q[5];\nh q[6];\nrz(x17) q[6];\nh q[6];\nh q[7];\nrz(x17) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["9551046ccc9dd029d28dbd33e8ca0f1e","vertex_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [97, 98], \"expectation_value\": -5.499937479984526, \"params\": null, \"bitstrings\": [\"0011110\", \"0011101\"], \"total_optimization_steps\": 30, \"probabilities\": [1.6356460474867127e-05, 0.9999687407489224], \"optimization_time\": 30.255519151687622}","0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(5)",1,7,3,"{\"smallest_eigenvalues\": [-5.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"0011101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nry(-1.5681) q[2];\nry(-1.5681) q[4];\nry(-1.4449) q[6];\nry(1.4449) q[0];\nry(1.4417) q[5];\nry(1.4417) q[1];\ncry(-0.1259) q[5], q[6];\ncry(0.1218) q[0], q[1];\ncry(0.1216) q[1], q[5];\ncry(0.1186) q[5], q[0];\ncry(-0.0027) q[5], q[2];\ncry(-0.0027) q[5], q[4];\ncry(-0.0005) q[1], q[6];\ncry(0.0074) q[5], q[1];\ncry(0.0069) q[0], q[5];\ncry(0.0067) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[1], q[6];\\ncry(0.0074) q[5], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[1], q[6];\\ncry(0.0074) q[5], q[1];\\ncry(0.0069) q[0], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[1], q[6];\\ncry(0.0074) q[5], q[1];\\ncry(0.0069) q[0], q[5];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[1], q[6];\\ncry(0.0074) q[5], q[1];\\ncry(0.0069) q[0], q[5];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5708) q[3];\\nry(-1.5681) q[2];\\nry(-1.5681) q[4];\\nry(-1.4449) q[6];\\nry(1.4449) q[0];\\nry(1.4417) q[5];\\nry(1.4417) q[1];\\ncry(-0.1259) q[5], q[6];\\ncry(0.1218) q[0], q[1];\\ncry(0.1216) q[1], q[5];\\ncry(0.1186) q[5], q[0];\\ncry(-0.0027) q[5], q[2];\\ncry(-0.0027) q[5], q[4];\\ncry(-0.0005) q[1], q[6];\\ncry(0.0074) q[5], q[1];\\ncry(0.0069) q[0], q[5];\\ncry(0.0067) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\"], \"gradients\": [1.5115, 1.0072, 1.0053, 0.5023, 0.5004, 0.4961, 0.4958, 0.1916, 0.0631, 0.0633, 0.0617, 0.0143, 0.01, 0.0086, 0.0075, 0.006, 0.006, 0.006, 0.005, 0.005, 0.0045, 0.0045, 0.0045, 0.0045, 0.0038, 0.0034, 0.0031, 0.003, 0.003, 0.003]}"]
["d4330ca50c7e11a2ef645e484effbde2","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 5}, {\"capacity\": 3, \"source\": 0, \"target\": 7}, {\"capacity\": 4, \"source\": 0, \"target\": 8}, {\"capacity\": 6, \"source\": 1, \"target\": 7}, {\"capacity\": 6, \"source\": 1, \"target\": 8}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 2, \"source\": 2, \"target\": 7}, {\"capacity\": 2, \"source\": 3, \"target\": 5}, {\"capacity\": 4, \"source\": 3, \"target\": 6}, {\"capacity\": 1, \"source\": 4, \"target\": 2}, {\"capacity\": 4, \"source\": 4, \"target\": 7}, {\"capacity\": 4, \"source\": 4, \"target\": 8}, {\"capacity\": 5, \"source\": 5, \"target\": 1}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 4, \"source\": 7, \"target\": 3}, {\"capacity\": 5, \"source\": 7, \"target\": 6}, {\"capacity\": 3, \"source\": 7, \"target\": 8}]}","{\"states\": [191, 153], \"expectation_value\": -5.246686080092681, \"params\": [[0.1726], [-0.1832]], \"bitstrings\": [\"101000000\", \"101100110\"], \"total_optimization_steps\": 20, \"probabilities\": [0.011073094671452656, 0.01215063000869034], \"optimization_time\": 2.9332895278930664}","-1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(7)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -1.0 * (Z(4) @ Z(8)) + -0.5 * Z(2) + -0.25 * Z(0) + 1.25 * Z(5) + -0.75 * Z(7) + -0.75 * Z(8) + 1.75 * Z(1) + 0.0 * Z(3) + -3.0 * Z(6) + 2.25 * Z(4)",1,9,1,"{\"smallest_eigenvalues\": [-16.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -14.5, \"smallest_bitstrings\": [\"101100110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(-0.4315) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(-0.0863) q[5];\ncx q[0], q[5];\ncx q[2], q[7];\nrz(-0.1726) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(-0.2589) q[7];\ncx q[0], q[7];\ncx q[0], q[8];\nrz(0.863) q[8];\ncx q[0], q[8];\ncx q[7], q[8];\nrz(-0.2589) q[8];\ncx q[7], q[8];\ncx q[5], q[1];\nrz(-0.4315) q[1];\ncx q[5], q[1];\ncx q[7], q[1];\nrz(-0.5178) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(-0.5178) q[1];\ncx q[8], q[1];\ncx q[2], q[3];\nrz(-0.1726) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(-0.1726) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(-0.3452) q[3];\ncx q[7], q[3];\ncx q[5], q[6];\nrz(-0.2589) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(-0.4315) q[6];\ncx q[7], q[6];\ncx q[3], q[6];\nrz(-0.3452) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(-0.0863) q[4];\ncx q[2], q[4];\ncx q[7], q[4];\nrz(-0.3452) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(-0.3452) q[4];\ncx q[8], q[4];\nrz(-0.1726) q[2];\nrz(-0.0863) q[0];\nrz(0.4315) q[5];\nrz(-0.2589) q[7];\nrz(-0.2589) q[8];\nrz(0.6041) q[1];\nrz(0) q[3];\nrz(-1.0356) q[6];\nrz(0.7767) q[4];\nh q[0];\nrz(-0.3664) q[0];\nh q[0];\nh q[1];\nrz(-0.3664) q[1];\nh q[1];\nh q[2];\nrz(-0.3664) q[2];\nh q[2];\nh q[3];\nrz(-0.3664) q[3];\nh q[3];\nh q[4];\nrz(-0.3664) q[4];\nh q[4];\nh q[5];\nrz(-0.3664) q[5];\nh q[5];\nh q[6];\nrz(-0.3664) q[6];\nh q[6];\nh q[7];\nrz(-0.3664) q[7];\nh q[7];\nh q[8];\nrz(-0.3664) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[0], q[5];\nrz(x1) q[5];\ncx q[0], q[5];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[0], q[7];\nrz(x3) q[7];\ncx q[0], q[7];\ncx q[0], q[8];\nrz(x4) q[8];\ncx q[0], q[8];\ncx q[7], q[8];\nrz(x3) q[8];\ncx q[7], q[8];\ncx q[5], q[1];\nrz(x0) q[1];\ncx q[5], q[1];\ncx q[7], q[1];\nrz(x5) q[1];\ncx q[7], q[1];\ncx q[8], q[1];\nrz(x5) q[1];\ncx q[8], q[1];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x2) q[3];\ncx q[5], q[3];\ncx q[7], q[3];\nrz(x6) q[3];\ncx q[7], q[3];\ncx q[5], q[6];\nrz(x3) q[6];\ncx q[5], q[6];\ncx q[7], q[6];\nrz(x0) q[6];\ncx q[7], q[6];\ncx q[3], q[6];\nrz(x6) q[6];\ncx q[3], q[6];\ncx q[2], q[4];\nrz(x1) q[4];\ncx q[2], q[4];\ncx q[7], q[4];\nrz(x6) q[4];\ncx q[7], q[4];\ncx q[8], q[4];\nrz(x6) q[4];\ncx q[8], q[4];\nrz(x2) q[2];\nrz(x1) q[0];\nrz(x7) q[5];\nrz(x3) q[7];\nrz(x3) q[8];\nrz(x8) q[1];\nrz(x9) q[3];\nrz(x10) q[6];\nrz(x11) q[4];\nh q[0];\nrz(x12) q[0];\nh q[0];\nh q[1];\nrz(x12) q[1];\nh q[1];\nh q[2];\nrz(x12) q[2];\nh q[2];\nh q[3];\nrz(x12) q[3];\nh q[3];\nh q[4];\nrz(x12) q[4];\nh q[4];\nh q[5];\nrz(x12) q[5];\nh q[5];\nh q[6];\nrz(x12) q[6];\nh q[6];\nh q[7];\nrz(x12) q[7];\nh q[7];\nh q[8];\nrz(x12) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"source\": 0, \"sink\": 8}","{\"circuits\": [], \"gradients\": []}"]
["af1426b93324259832bd09f6b200fbec","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 7}, {\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 3, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 3, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 1, \"target\": 7}, {\"capacity\": 1, \"source\": 1, \"target\": 9}, {\"capacity\": 1, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 8}, {\"capacity\": 1, \"source\": 2, \"target\": 9}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 9}, {\"capacity\": 2, \"source\": 5, \"target\": 1}, {\"capacity\": 3, \"source\": 5, \"target\": 3}, {\"capacity\": 2, \"source\": 5, \"target\": 9}, {\"capacity\": 1, \"source\": 6, \"target\": 5}, {\"capacity\": 3, \"source\": 7, \"target\": 2}, {\"capacity\": 3, \"source\": 7, \"target\": 5}, {\"capacity\": 3, \"source\": 7, \"target\": 6}, {\"capacity\": 2, \"source\": 8, \"target\": 1}, {\"capacity\": 2, \"source\": 8, \"target\": 9}]}","{\"states\": [1022, 511], \"expectation_value\": -11.256965726079569, \"params\": [[[-0.0125, 0.6891], [0.0031000000000000003, -0.09050000000000001], [0.0014, 0.0022], [0.0019, 0.0024000000000000002], [0.0044, 0.0029000000000000002], [0.0032, 0.0025], [0.0024000000000000002, 0.003], [0.0041, -0.0039000000000000003], [-0.1675, -1.0090000000000001], [0.1733, 0.1557]], [[0.078, 0.0466], [-0.00030000000000000003, -0.2281], [-0.0006000000000000001, 0.0027], [-0.0, -0.0027], [0.0009000000000000001, 0.0023], [-0.0012000000000000001, 0.0025], [0.0039000000000000003, -0.002], [-0.0001, -0.003], [-1.3077, -0.0334], [0.6816, -0.0239]], [[0.0198, 0.4481], [0.0029000000000000002, 0.019], [0.006200000000000001, 0.0027], [0.0061, 0.0025], [-0.0022, -0.0031000000000000003], [0.0045000000000000005, 0.0028], [-0.0005, 0.0028], [0.004, -0.0022], [-0.06330000000000001, -0.0256], [-0.9219, -0.0658]], [[-0.6896, -1.2103000000000002], [0.0027, 0.4234], [0.0019, -0.0035], [0.0025, 0.0025], [0.005200000000000001, -0.0023], [0.0036000000000000003, -0.0026000000000000003], [0.0034000000000000002, 0.0019], [0.0047, 0.0034000000000000002], [0.0151, -0.0927], [-0.035500000000000004, 0.0007]]], \"bitstrings\": [\"0000000001\", \"1000000000\"], \"total_optimization_steps\": 140, \"probabilities\": [0.4189852892685522, 0.5091318305371898], \"optimization_time\": 16.73840069770813}","-0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -1.0 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(9)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(9)) + 1.0 * Z(7) + -0.25 * Z(0) + 0.5 * Z(8) + 1.5 * Z(1) + -1.0 * Z(3) + 1.5 * Z(4) + -1.25 * Z(6) + -0.75 * Z(9) + -1.5 * Z(2) + 0.25 * Z(5)",15,10,4,"{\"smallest_eigenvalues\": [-11.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -10.75, \"smallest_bitstrings\": [\"1000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(-0.0125) q[0];\nry(0.0031) q[1];\nry(0.0014) q[2];\nry(0.0019) q[3];\nry(0.0044) q[4];\nry(0.0032) q[5];\nry(0.0024) q[6];\nry(0.0041) q[7];\nry(-0.1675) q[8];\nry(0.1733) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.6891) q[0];\nry(-0.0905) q[1];\nry(0.0022) q[2];\nry(0.0024) q[3];\nry(0.0029) q[4];\nry(0.0025) q[5];\nry(0.003) q[6];\nry(-0.0039) q[7];\nry(-1.009) q[8];\nry(0.1557) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.078) q[0];\nry(-0.0003) q[1];\nry(-0.0006) q[2];\nry(0) q[3];\nry(0.0009) q[4];\nry(-0.0012) q[5];\nry(0.0039) q[6];\nry(-0.0001) q[7];\nry(-1.3077) q[8];\nry(0.6816) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0466) q[0];\nry(-0.2281) q[1];\nry(0.0027) q[2];\nry(-0.0027) q[3];\nry(0.0023) q[4];\nry(0.0025) q[5];\nry(-0.002) q[6];\nry(-0.003) q[7];\nry(-0.0334) q[8];\nry(-0.0239) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.0198) q[0];\nry(0.0029) q[1];\nry(0.0062) q[2];\nry(0.0061) q[3];\nry(-0.0022) q[4];\nry(0.0045) q[5];\nry(-0.0005) q[6];\nry(0.004) q[7];\nry(-0.0633) q[8];\nry(-0.9219) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.4481) q[0];\nry(0.019) q[1];\nry(0.0027) q[2];\nry(0.0025) q[3];\nry(-0.0031) q[4];\nry(0.0028) q[5];\nry(0.0028) q[6];\nry(-0.0022) q[7];\nry(-0.0256) q[8];\nry(-0.0658) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(-0.6896) q[0];\nry(0.0027) q[1];\nry(0.0019) q[2];\nry(0.0025) q[3];\nry(0.0052) q[4];\nry(0.0036) q[5];\nry(0.0034) q[6];\nry(0.0047) q[7];\nry(0.0151) q[8];\nry(-0.0355) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-1.2103) q[0];\nry(0.4234) q[1];\nry(-0.0035) q[2];\nry(0.0025) q[3];\nry(-0.0023) q[4];\nry(-0.0026) q[5];\nry(0.0019) q[6];\nry(0.0034) q[7];\nry(-0.0927) q[8];\nry(0.0007) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x6) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\nry(x18) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x19) q[0];\nry(x20) q[1];\nry(x21) q[2];\nry(x22) q[3];\nry(x23) q[4];\nry(x24) q[5];\nry(x25) q[6];\nry(x26) q[7];\nry(x27) q[8];\nry(x28) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x29) q[0];\nry(x30) q[1];\nry(x31) q[2];\nry(x32) q[3];\nry(x33) q[4];\nry(x14) q[5];\nry(x34) q[6];\nry(x35) q[7];\nry(x36) q[8];\nry(x37) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x38) q[0];\nry(x13) q[1];\nry(x39) q[2];\nry(x40) q[3];\nry(x41) q[4];\nry(x42) q[5];\nry(x43) q[6];\nry(x44) q[7];\nry(x45) q[8];\nry(x46) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x47) q[0];\nry(x48) q[1];\nry(x31) q[2];\nry(x14) q[3];\nry(x49) q[4];\nry(x50) q[5];\nry(x50) q[6];\nry(x41) q[7];\nry(x51) q[8];\nry(x52) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x53) q[0];\nry(x31) q[1];\nry(x3) q[2];\nry(x14) q[3];\nry(x54) q[4];\nry(x55) q[5];\nry(x56) q[6];\nry(x57) q[7];\nry(x58) q[8];\nry(x59) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x60) q[0];\nry(x61) q[1];\nry(x62) q[2];\nry(x14) q[3];\nry(x63) q[4];\nry(x64) q[5];\nry(x3) q[6];\nry(x56) q[7];\nry(x65) q[8];\nry(x66) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["068ca9ebc869ed2b6b1f40ca0469471e","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [1022, 894], \"expectation_value\": -1.1344852048327052, \"params\": [0.31720000000000004, -0.08030000000000001, 0.3118, -0.0931, 0.3126, -0.07880000000000001, 0.313, -0.0915, 0.49470000000000003, -0.0653, 0.49660000000000004, -0.07980000000000001, 0.49260000000000004, -0.060200000000000004, 0.4959, -0.07740000000000001, 0.4176, -0.0805, 0.41960000000000003, -0.08950000000000001, 0.5028, -0.015300000000000001, 0.5032, 0.0047, 0.504, -0.0161, 0.5048, -0.0047, 0.4995, -0.041800000000000004, 0.5072, -0.0584, 0.4969, -0.0227, 0.49970000000000003, -0.0159, 0.49360000000000004, -0.0545, 0.4964, -0.069, 0.5018, -0.0442, 0.49510000000000004, -0.0659, 0.20020000000000002, 0.1481, 0.2068, 0.14730000000000001, 0.311, -0.0918, 0.3128, 0.01, 0.30820000000000003, -0.0892, 0.3114, 0.0098, 0.4913, -0.0799, 0.49720000000000003, 0.0006000000000000001, 0.4958, -0.07780000000000001, 0.49300000000000005, 0.0024000000000000002, 0.4147, -0.08420000000000001, 0.42200000000000004, 0.0034000000000000002, 0.5075000000000001, 0.0726, 0.49860000000000004, 0.0034000000000000002, 0.5015000000000001, 0.0379, 0.49920000000000003, 0.01, 0.5012, -0.0854, 0.504, 0.0081, 0.505, 0.015700000000000002, 0.5025000000000001, 0.007, 0.4954, -0.059800000000000006, 0.49260000000000004, 0.0024000000000000002, 0.499, -0.0782, 0.5022, 0.009600000000000001, 0.2005, 0.1593, 0.2064, 0.007500000000000001, -0.0434, -0.0308, -0.0699, -0.07010000000000001, -0.0782, 0.0034000000000000002, -0.0162, 0.037000000000000005, -0.0045000000000000005, 0.053700000000000005, 0.038400000000000004, 0.10310000000000001, -0.11510000000000001, -0.11170000000000001, -0.1222, -0.12000000000000001, -0.12290000000000001, -0.06420000000000001, -0.0964, 0.0318, -0.079, 0.0761, 0.0757, 0.1605], \"bitstrings\": [\"110000000001\", \"110010000001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.007423428391177034, 0.01124223700001125], \"optimization_time\": 232.55555987358093}","0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(5) @ Z(0) @ Z(2)) + -0.0625 * (Z(0) @ Z(2) @ Z(6)) + -0.0625 * (Z(0) @ Z(2) @ Z(7)) + -0.0625 * (Z(5) @ Z(0) @ Z(6)) + -0.0625 * (Z(5) @ Z(0) @ Z(7)) + -0.0625 * (Z(0) @ Z(7) @ Z(6)) + -0.0625 * (Z(5) @ Z(6) @ Z(2)) + -0.0625 * (Z(5) @ Z(2) @ Z(7)) + -0.0625 * (Z(6) @ Z(2) @ Z(7)) + -0.0625 * (Z(5) @ Z(6) @ Z(7)) + 0.0625 * (Z(5) @ Z(0) @ Z(2) @ Z(6)) + 0.0625 * (Z(5) @ Z(0) @ Z(2) @ Z(7)) + 0.0625 * (Z(0) @ Z(2) @ Z(7) @ Z(6)) + 0.0625 * (Z(5) @ Z(0) @ Z(7) @ Z(6)) + 0.0625 * (Z(5) @ Z(6) @ Z(2) @ Z(7)) + -0.0625 * (Z(6) @ Z(2) @ Z(5) @ Z(0) @ Z(7)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(1) @ Z(8)) + 0.0625 * (Z(1) @ Z(9)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(3) @ Z(8)) + 0.0625 * (Z(3) @ Z(9)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(5) @ Z(9)) + 0.0625 * (Z(8) @ Z(9)) + -0.0625 * (Z(5) @ Z(1) @ Z(3)) + -0.0625 * (Z(1) @ Z(3) @ Z(8)) + -0.0625 * (Z(1) @ Z(3) @ Z(9)) + -0.0625 * (Z(5) @ Z(1) @ Z(8)) + -0.0625 * (Z(5) @ Z(1) @ Z(9)) + -0.0625 * (Z(1) @ Z(8) @ Z(9)) + -0.0625 * (Z(5) @ Z(3) @ Z(8)) + -0.0625 * (Z(5) @ Z(3) @ Z(9)) + -0.0625 * (Z(3) @ Z(8) @ Z(9)) + -0.0625 * (Z(5) @ Z(8) @ Z(9)) + 0.0625 * (Z(5) @ Z(1) @ Z(3) @ Z(8)) + 0.0625 * (Z(5) @ Z(1) @ Z(3) @ Z(9)) + 0.0625 * (Z(1) @ Z(3) @ Z(8) @ Z(9)) + 0.0625 * (Z(5) @ Z(1) @ Z(8) @ Z(9)) + 0.0625 * (Z(5) @ Z(3) @ Z(8) @ Z(9)) + -0.0625 * (Z(8) @ Z(1) @ Z(5) @ Z(9) @ Z(3)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(10) @ Z(4)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(10) @ Z(6)) + 0.125 * (Z(10) @ Z(8)) + -0.125 * (Z(6) @ Z(8) @ Z(4)) + -0.125 * (Z(10) @ Z(6) @ Z(4)) + -0.125 * (Z(10) @ Z(8) @ Z(4)) + -0.125 * (Z(10) @ Z(6) @ Z(8)) + 0.125 * (Z(8) @ Z(10) @ Z(6) @ Z(4)) + 0.25 * (Z(10) @ Z(7)) + 0.25 * (Z(7) @ Z(11)) + 0.25 * (Z(10) @ Z(11)) + -0.25 * (Z(10) @ Z(7) @ Z(11)) + 0.5 * (Z(11) @ Z(9)) + -0.0625 * Z(0) + -0.0625 * Z(1) + 0.1875 * Z(2) + 0.1875 * Z(3) + 0.125 * Z(4) + 0.375 * Z(5) + 0.3125 * Z(6) + 0.1875 * Z(7) + 0.3125 * Z(8) + -0.0625 * Z(9) + 0.125 * Z(10) + -0.25 * Z(11)",5,12,2,"{\"smallest_eigenvalues\": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], \"number_of_smallest_eigenvalues\": 23, \"first_excited_energy\": -2.75, \"smallest_bitstrings\": [\"100100000011\", \"011000100001\", \"010010010100\", \"010010100001\", \"010010010001\", \"100100000110\", \"101000001001\", \"100010000101\", \"100010000110\", \"100100100001\", \"101000000110\", \"100010001001\", \"100110000001\", \"011010000001\", \"110010000001\", \"011000000110\", \"100011000001\", \"010100100001\", \"011000001001\", \"100010010100\", \"011000000011\", \"010011000001\", \"100100001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(0.3172) q[0];\nrz(-0.0803) q[0];\nrx(0.3126) q[1];\nrz(-0.0788) q[1];\nrx(0.4947) q[2];\nrz(-0.0653) q[2];\nrx(0.4926) q[3];\nrz(-0.0602) q[3];\nrx(0.4176) q[4];\nrz(-0.0805) q[4];\nrx(0.5028) q[5];\nrz(-0.0153) q[5];\nrx(0.504) q[6];\nrz(-0.0161) q[6];\nrx(0.4995) q[7];\nrz(-0.0418) q[7];\nrx(0.4969) q[8];\nrz(-0.0227) q[8];\nrx(0.4936) q[9];\nrz(-0.0545) q[9];\nrx(0.5018) q[10];\nrz(-0.0442) q[10];\nrx(0.2002) q[11];\nrz(0.1481) q[11];\ncrz(0.0384) q[11], q[10];\ncrz(0.0537) q[11], q[9];\ncrz(-0.0045) q[11], q[8];\ncrz(0.037) q[11], q[7];\ncrz(-0.0162) q[11], q[6];\ncrz(0.0034) q[11], q[5];\ncrz(-0.0782) q[11], q[4];\ncrz(-0.0701) q[11], q[3];\ncrz(-0.0699) q[11], q[2];\ncrz(-0.0308) q[11], q[1];\ncrz(-0.0434) q[11], q[0];\ncrz(0.1031) q[10], q[11];\ncrz(0.0537) q[10], q[9];\ncrz(-0.0045) q[10], q[8];\ncrz(0.037) q[10], q[7];\ncrz(-0.0162) q[10], q[6];\ncrz(0.0034) q[10], q[5];\ncrz(-0.0782) q[10], q[4];\ncrz(-0.0701) q[10], q[3];\ncrz(-0.0699) q[10], q[2];\ncrz(-0.0308) q[10], q[1];\ncrz(-0.0434) q[10], q[0];\ncrz(0.1031) q[9], q[11];\ncrz(0.0384) q[9], q[10];\ncrz(-0.0045) q[9], q[8];\ncrz(0.037) q[9], q[7];\ncrz(-0.0162) q[9], q[6];\ncrz(0.0034) q[9], q[5];\ncrz(-0.0782) q[9], q[4];\ncrz(-0.0701) q[9], q[3];\ncrz(-0.0699) q[9], q[2];\ncrz(-0.0308) q[9], q[1];\ncrz(-0.0434) q[9], q[0];\ncrz(0.1031) q[8], q[11];\ncrz(0.0384) q[8], q[10];\ncrz(0.0537) q[8], q[9];\ncrz(0.037) q[8], q[7];\ncrz(-0.0162) q[8], q[6];\ncrz(0.0034) q[8], q[5];\ncrz(-0.0782) q[8], q[4];\ncrz(-0.0701) q[8], q[3];\ncrz(-0.0699) q[8], q[2];\ncrz(-0.0308) q[8], q[1];\ncrz(-0.0434) q[8], q[0];\ncrz(0.1031) q[7], q[11];\ncrz(0.0384) q[7], q[10];\ncrz(0.0537) q[7], q[9];\ncrz(-0.0045) q[7], q[8];\ncrz(-0.0162) q[7], q[6];\ncrz(0.0034) q[7], q[5];\ncrz(-0.0782) q[7], q[4];\ncrz(-0.0701) q[7], q[3];\ncrz(-0.0699) q[7], q[2];\ncrz(-0.0308) q[7], q[1];\ncrz(-0.0434) q[7], q[0];\ncrz(0.1031) q[6], q[11];\ncrz(0.0384) q[6], q[10];\ncrz(0.0537) q[6], q[9];\ncrz(-0.0045) q[6], q[8];\ncrz(0.037) q[6], q[7];\ncrz(0.0034) q[6], q[5];\ncrz(-0.0782) q[6], q[4];\ncrz(-0.0701) q[6], q[3];\ncrz(-0.0699) q[6], q[2];\ncrz(-0.0308) q[6], q[1];\ncrz(-0.0434) q[6], q[0];\ncrz(0.1031) q[5], q[11];\ncrz(0.0384) q[5], q[10];\ncrz(0.0537) q[5], q[9];\ncrz(-0.0045) q[5], q[8];\ncrz(0.037) q[5], q[7];\ncrz(-0.0162) q[5], q[6];\ncrz(-0.0782) q[5], q[4];\ncrz(-0.0701) q[5], q[3];\ncrz(-0.0699) q[5], q[2];\ncrz(-0.0308) q[5], q[1];\ncrz(-0.0434) q[5], q[0];\ncrz(0.1031) q[4], q[11];\ncrz(0.0384) q[4], q[10];\ncrz(0.0537) q[4], q[9];\ncrz(-0.0045) q[4], q[8];\ncrz(0.037) q[4], q[7];\ncrz(-0.0162) q[4], q[6];\ncrz(0.0034) q[4], q[5];\ncrz(-0.0701) q[4], q[3];\ncrz(-0.0699) q[4], q[2];\ncrz(-0.0308) q[4], q[1];\ncrz(-0.0434) q[4], q[0];\ncrz(0.1031) q[3], q[11];\ncrz(0.0384) q[3], q[10];\ncrz(0.0537) q[3], q[9];\ncrz(-0.0045) q[3], q[8];\ncrz(0.037) q[3], q[7];\ncrz(-0.0162) q[3], q[6];\ncrz(0.0034) q[3], q[5];\ncrz(-0.0782) q[3], q[4];\ncrz(-0.0699) q[3], q[2];\ncrz(-0.0308) q[3], q[1];\ncrz(-0.0434) q[3], q[0];\ncrz(0.1031) q[2], q[11];\ncrz(0.0384) q[2], q[10];\ncrz(0.0537) q[2], q[9];\ncrz(-0.0045) q[2], q[8];\ncrz(0.037) q[2], q[7];\ncrz(-0.0162) q[2], q[6];\ncrz(0.0034) q[2], q[5];\ncrz(-0.0782) q[2], q[4];\ncrz(-0.0701) q[2], q[3];\ncrz(-0.0308) q[2], q[1];\ncrz(-0.0434) q[2], q[0];\ncrz(0.1031) q[1], q[11];\ncrz(0.0384) q[1], q[10];\ncrz(0.0537) q[1], q[9];\ncrz(-0.0045) q[1], q[8];\ncrz(0.037) q[1], q[7];\ncrz(-0.0162) q[1], q[6];\ncrz(0.0034) q[1], q[5];\ncrz(-0.0782) q[1], q[4];\ncrz(-0.0701) q[1], q[3];\ncrz(-0.0699) q[1], q[2];\ncrz(-0.0434) q[1], q[0];\ncrz(0.1031) q[0], q[11];\ncrz(0.0384) q[0], q[10];\ncrz(0.0537) q[0], q[9];\ncrz(-0.0045) q[0], q[8];\ncrz(0.037) q[0], q[7];\ncrz(-0.0162) q[0], q[6];\ncrz(0.0034) q[0], q[5];\ncrz(-0.0782) q[0], q[4];\ncrz(-0.0701) q[0], q[3];\ncrz(-0.0699) q[0], q[2];\ncrz(-0.0308) q[0], q[1];\nrx(0.3118) q[0];\nrz(-0.0931) q[0];\nrx(0.313) q[1];\nrz(-0.0915) q[1];\nrx(0.4966) q[2];\nrz(-0.0798) q[2];\nrx(0.4959) q[3];\nrz(-0.0774) q[3];\nrx(0.4196) q[4];\nrz(-0.0895) q[4];\nrx(0.5032) q[5];\nrz(0.0047) q[5];\nrx(0.5048) q[6];\nrz(-0.0047) q[6];\nrx(0.5072) q[7];\nrz(-0.0584) q[7];\nrx(0.4997) q[8];\nrz(-0.0159) q[8];\nrx(0.4964) q[9];\nrz(-0.069) q[9];\nrx(0.4951) q[10];\nrz(-0.0659) q[10];\nrx(0.2068) q[11];\nrz(0.1473) q[11];\nrx(0.311) q[0];\nrz(-0.0918) q[0];\nrx(0.3082) q[1];\nrz(-0.0892) q[1];\nrx(0.4913) q[2];\nrz(-0.0799) q[2];\nrx(0.4958) q[3];\nrz(-0.0778) q[3];\nrx(0.4147) q[4];\nrz(-0.0842) q[4];\nrx(0.5075) q[5];\nrz(0.0726) q[5];\nrx(0.5015) q[6];\nrz(0.0379) q[6];\nrx(0.5012) q[7];\nrz(-0.0854) q[7];\nrx(0.505) q[8];\nrz(0.0157) q[8];\nrx(0.4954) q[9];\nrz(-0.0598) q[9];\nrx(0.499) q[10];\nrz(-0.0782) q[10];\nrx(0.2005) q[11];\nrz(0.1593) q[11];\ncrz(0.0757) q[11], q[10];\ncrz(0.0761) q[11], q[9];\ncrz(-0.079) q[11], q[8];\ncrz(0.0318) q[11], q[7];\ncrz(-0.0964) q[11], q[6];\ncrz(-0.0642) q[11], q[5];\ncrz(-0.1229) q[11], q[4];\ncrz(-0.12) q[11], q[3];\ncrz(-0.1222) q[11], q[2];\ncrz(-0.1117) q[11], q[1];\ncrz(-0.1151) q[11], q[0];\ncrz(0.1605) q[10], q[11];\ncrz(0.0761) q[10], q[9];\ncrz(-0.079) q[10], q[8];\ncrz(0.0318) q[10], q[7];\ncrz(-0.0964) q[10], q[6];\ncrz(-0.0642) q[10], q[5];\ncrz(-0.1229) q[10], q[4];\ncrz(-0.12) q[10], q[3];\ncrz(-0.1222) q[10], q[2];\ncrz(-0.1117) q[10], q[1];\ncrz(-0.1151) q[10], q[0];\ncrz(0.1605) q[9], q[11];\ncrz(0.0757) q[9], q[10];\ncrz(-0.079) q[9], q[8];\ncrz(0.0318) q[9], q[7];\ncrz(-0.0964) q[9], q[6];\ncrz(-0.0642) q[9], q[5];\ncrz(-0.1229) q[9], q[4];\ncrz(-0.12) q[9], q[3];\ncrz(-0.1222) q[9], q[2];\ncrz(-0.1117) q[9], q[1];\ncrz(-0.1151) q[9], q[0];\ncrz(0.1605) q[8], q[11];\ncrz(0.0757) q[8], q[10];\ncrz(0.0761) q[8], q[9];\ncrz(0.0318) q[8], q[7];\ncrz(-0.0964) q[8], q[6];\ncrz(-0.0642) q[8], q[5];\ncrz(-0.1229) q[8], q[4];\ncrz(-0.12) q[8], q[3];\ncrz(-0.1222) q[8], q[2];\ncrz(-0.1117) q[8], q[1];\ncrz(-0.1151) q[8], q[0];\ncrz(0.1605) q[7], q[11];\ncrz(0.0757) q[7], q[10];\ncrz(0.0761) q[7], q[9];\ncrz(-0.079) q[7], q[8];\ncrz(-0.0964) q[7], q[6];\ncrz(-0.0642) q[7], q[5];\ncrz(-0.1229) q[7], q[4];\ncrz(-0.12) q[7], q[3];\ncrz(-0.1222) q[7], q[2];\ncrz(-0.1117) q[7], q[1];\ncrz(-0.1151) q[7], q[0];\ncrz(0.1605) q[6], q[11];\ncrz(0.0757) q[6], q[10];\ncrz(0.0761) q[6], q[9];\ncrz(-0.079) q[6], q[8];\ncrz(0.0318) q[6], q[7];\ncrz(-0.0642) q[6], q[5];\ncrz(-0.1229) q[6], q[4];\ncrz(-0.12) q[6], q[3];\ncrz(-0.1222) q[6], q[2];\ncrz(-0.1117) q[6], q[1];\ncrz(-0.1151) q[6], q[0];\ncrz(0.1605) q[5], q[11];\ncrz(0.0757) q[5], q[10];\ncrz(0.0761) q[5], q[9];\ncrz(-0.079) q[5], q[8];\ncrz(0.0318) q[5], q[7];\ncrz(-0.0964) q[5], q[6];\ncrz(-0.1229) q[5], q[4];\ncrz(-0.12) q[5], q[3];\ncrz(-0.1222) q[5], q[2];\ncrz(-0.1117) q[5], q[1];\ncrz(-0.1151) q[5], q[0];\ncrz(0.1605) q[4], q[11];\ncrz(0.0757) q[4], q[10];\ncrz(0.0761) q[4], q[9];\ncrz(-0.079) q[4], q[8];\ncrz(0.0318) q[4], q[7];\ncrz(-0.0964) q[4], q[6];\ncrz(-0.0642) q[4], q[5];\ncrz(-0.12) q[4], q[3];\ncrz(-0.1222) q[4], q[2];\ncrz(-0.1117) q[4], q[1];\ncrz(-0.1151) q[4], q[0];\ncrz(0.1605) q[3], q[11];\ncrz(0.0757) q[3], q[10];\ncrz(0.0761) q[3], q[9];\ncrz(-0.079) q[3], q[8];\ncrz(0.0318) q[3], q[7];\ncrz(-0.0964) q[3], q[6];\ncrz(-0.0642) q[3], q[5];\ncrz(-0.1229) q[3], q[4];\ncrz(-0.1222) q[3], q[2];\ncrz(-0.1117) q[3], q[1];\ncrz(-0.1151) q[3], q[0];\ncrz(0.1605) q[2], q[11];\ncrz(0.0757) q[2], q[10];\ncrz(0.0761) q[2], q[9];\ncrz(-0.079) q[2], q[8];\ncrz(0.0318) q[2], q[7];\ncrz(-0.0964) q[2], q[6];\ncrz(-0.0642) q[2], q[5];\ncrz(-0.1229) q[2], q[4];\ncrz(-0.12) q[2], q[3];\ncrz(-0.1117) q[2], q[1];\ncrz(-0.1151) q[2], q[0];\ncrz(0.1605) q[1], q[11];\ncrz(0.0757) q[1], q[10];\ncrz(0.0761) q[1], q[9];\ncrz(-0.079) q[1], q[8];\ncrz(0.0318) q[1], q[7];\ncrz(-0.0964) q[1], q[6];\ncrz(-0.0642) q[1], q[5];\ncrz(-0.1229) q[1], q[4];\ncrz(-0.12) q[1], q[3];\ncrz(-0.1222) q[1], q[2];\ncrz(-0.1151) q[1], q[0];\ncrz(0.1605) q[0], q[11];\ncrz(0.0757) q[0], q[10];\ncrz(0.0761) q[0], q[9];\ncrz(-0.079) q[0], q[8];\ncrz(0.0318) q[0], q[7];\ncrz(-0.0964) q[0], q[6];\ncrz(-0.0642) q[0], q[5];\ncrz(-0.1229) q[0], q[4];\ncrz(-0.12) q[0], q[3];\ncrz(-0.1222) q[0], q[2];\ncrz(-0.1117) q[0], q[1];\nrx(0.3128) q[0];\nrz(0.01) q[0];\nrx(0.3114) q[1];\nrz(0.0098) q[1];\nrx(0.4972) q[2];\nrz(0.0006) q[2];\nrx(0.493) q[3];\nrz(0.0024) q[3];\nrx(0.422) q[4];\nrz(0.0034) q[4];\nrx(0.4986) q[5];\nrz(0.0034) q[5];\nrx(0.4992) q[6];\nrz(0.01) q[6];\nrx(0.504) q[7];\nrz(0.0081) q[7];\nrx(0.5025) q[8];\nrz(0.007) q[8];\nrx(0.4926) q[9];\nrz(0.0024) q[9];\nrx(0.5022) q[10];\nrz(0.0096) q[10];\nrx(0.2064) q[11];\nrz(0.0075) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x24) q[11], q[10];\ncrz(x25) q[11], q[9];\ncrz(x26) q[11], q[8];\ncrz(x27) q[11], q[7];\ncrz(x28) q[11], q[6];\ncrz(x29) q[11], q[5];\ncrz(x30) q[11], q[4];\ncrz(x31) q[11], q[3];\ncrz(x32) q[11], q[2];\ncrz(x33) q[11], q[1];\ncrz(x34) q[11], q[0];\ncrz(x35) q[10], q[11];\ncrz(x25) q[10], q[9];\ncrz(x26) q[10], q[8];\ncrz(x27) q[10], q[7];\ncrz(x28) q[10], q[6];\ncrz(x29) q[10], q[5];\ncrz(x30) q[10], q[4];\ncrz(x31) q[10], q[3];\ncrz(x32) q[10], q[2];\ncrz(x33) q[10], q[1];\ncrz(x34) q[10], q[0];\ncrz(x35) q[9], q[11];\ncrz(x24) q[9], q[10];\ncrz(x26) q[9], q[8];\ncrz(x27) q[9], q[7];\ncrz(x28) q[9], q[6];\ncrz(x29) q[9], q[5];\ncrz(x30) q[9], q[4];\ncrz(x31) q[9], q[3];\ncrz(x32) q[9], q[2];\ncrz(x33) q[9], q[1];\ncrz(x34) q[9], q[0];\ncrz(x35) q[8], q[11];\ncrz(x24) q[8], q[10];\ncrz(x25) q[8], q[9];\ncrz(x27) q[8], q[7];\ncrz(x28) q[8], q[6];\ncrz(x29) q[8], q[5];\ncrz(x30) q[8], q[4];\ncrz(x31) q[8], q[3];\ncrz(x32) q[8], q[2];\ncrz(x33) q[8], q[1];\ncrz(x34) q[8], q[0];\ncrz(x35) q[7], q[11];\ncrz(x24) q[7], q[10];\ncrz(x25) q[7], q[9];\ncrz(x26) q[7], q[8];\ncrz(x28) q[7], q[6];\ncrz(x29) q[7], q[5];\ncrz(x30) q[7], q[4];\ncrz(x31) q[7], q[3];\ncrz(x32) q[7], q[2];\ncrz(x33) q[7], q[1];\ncrz(x34) q[7], q[0];\ncrz(x35) q[6], q[11];\ncrz(x24) q[6], q[10];\ncrz(x25) q[6], q[9];\ncrz(x26) q[6], q[8];\ncrz(x27) q[6], q[7];\ncrz(x29) q[6], q[5];\ncrz(x30) q[6], q[4];\ncrz(x31) q[6], q[3];\ncrz(x32) q[6], q[2];\ncrz(x33) q[6], q[1];\ncrz(x34) q[6], q[0];\ncrz(x35) q[5], q[11];\ncrz(x24) q[5], q[10];\ncrz(x25) q[5], q[9];\ncrz(x26) q[5], q[8];\ncrz(x27) q[5], q[7];\ncrz(x28) q[5], q[6];\ncrz(x30) q[5], q[4];\ncrz(x31) q[5], q[3];\ncrz(x32) q[5], q[2];\ncrz(x33) q[5], q[1];\ncrz(x34) q[5], q[0];\ncrz(x35) q[4], q[11];\ncrz(x24) q[4], q[10];\ncrz(x25) q[4], q[9];\ncrz(x26) q[4], q[8];\ncrz(x27) q[4], q[7];\ncrz(x28) q[4], q[6];\ncrz(x29) q[4], q[5];\ncrz(x31) q[4], q[3];\ncrz(x32) q[4], q[2];\ncrz(x33) q[4], q[1];\ncrz(x34) q[4], q[0];\ncrz(x35) q[3], q[11];\ncrz(x24) q[3], q[10];\ncrz(x25) q[3], q[9];\ncrz(x26) q[3], q[8];\ncrz(x27) q[3], q[7];\ncrz(x28) q[3], q[6];\ncrz(x29) q[3], q[5];\ncrz(x30) q[3], q[4];\ncrz(x32) q[3], q[2];\ncrz(x33) q[3], q[1];\ncrz(x34) q[3], q[0];\ncrz(x35) q[2], q[11];\ncrz(x24) q[2], q[10];\ncrz(x25) q[2], q[9];\ncrz(x26) q[2], q[8];\ncrz(x27) q[2], q[7];\ncrz(x28) q[2], q[6];\ncrz(x29) q[2], q[5];\ncrz(x30) q[2], q[4];\ncrz(x31) q[2], q[3];\ncrz(x33) q[2], q[1];\ncrz(x34) q[2], q[0];\ncrz(x35) q[1], q[11];\ncrz(x24) q[1], q[10];\ncrz(x25) q[1], q[9];\ncrz(x26) q[1], q[8];\ncrz(x27) q[1], q[7];\ncrz(x28) q[1], q[6];\ncrz(x29) q[1], q[5];\ncrz(x30) q[1], q[4];\ncrz(x31) q[1], q[3];\ncrz(x32) q[1], q[2];\ncrz(x34) q[1], q[0];\ncrz(x35) q[0], q[11];\ncrz(x24) q[0], q[10];\ncrz(x25) q[0], q[9];\ncrz(x26) q[0], q[8];\ncrz(x27) q[0], q[7];\ncrz(x28) q[0], q[6];\ncrz(x29) q[0], q[5];\ncrz(x30) q[0], q[4];\ncrz(x31) q[0], q[3];\ncrz(x32) q[0], q[2];\ncrz(x33) q[0], q[1];\nrx(x36) q[0];\nrz(x37) q[0];\nrx(x38) q[1];\nrz(x39) q[1];\nrx(x40) q[2];\nrz(x41) q[2];\nrx(x42) q[3];\nrz(x43) q[3];\nrx(x44) q[4];\nrz(x45) q[4];\nrx(x46) q[5];\nrz(x47) q[5];\nrx(x48) q[6];\nrz(x49) q[6];\nrx(x50) q[7];\nrz(x51) q[7];\nrx(x52) q[8];\nrz(x53) q[8];\nrx(x54) q[9];\nrz(x55) q[9];\nrx(x56) q[10];\nrz(x57) q[10];\nrx(x58) q[11];\nrz(x59) q[11];\nrx(x60) q[0];\nrz(x61) q[0];\nrx(x62) q[1];\nrz(x63) q[1];\nrx(x64) q[2];\nrz(x65) q[2];\nrx(x66) q[3];\nrz(x67) q[3];\nrx(x68) q[4];\nrz(x69) q[4];\nrx(x70) q[5];\nrz(x71) q[5];\nrx(x72) q[6];\nrz(x73) q[6];\nrx(x74) q[7];\nrz(x75) q[7];\nrx(x76) q[8];\nrz(x77) q[8];\nrx(x78) q[9];\nrz(x79) q[9];\nrx(x80) q[10];\nrz(x30) q[10];\nrx(x81) q[11];\nrz(x82) q[11];\ncrz(x83) q[11], q[10];\ncrz(x84) q[11], q[9];\ncrz(x85) q[11], q[8];\ncrz(x86) q[11], q[7];\ncrz(x87) q[11], q[6];\ncrz(x88) q[11], q[5];\ncrz(x89) q[11], q[4];\ncrz(x90) q[11], q[3];\ncrz(x91) q[11], q[2];\ncrz(x92) q[11], q[1];\ncrz(x93) q[11], q[0];\ncrz(x94) q[10], q[11];\ncrz(x84) q[10], q[9];\ncrz(x85) q[10], q[8];\ncrz(x86) q[10], q[7];\ncrz(x87) q[10], q[6];\ncrz(x88) q[10], q[5];\ncrz(x89) q[10], q[4];\ncrz(x90) q[10], q[3];\ncrz(x91) q[10], q[2];\ncrz(x92) q[10], q[1];\ncrz(x93) q[10], q[0];\ncrz(x94) q[9], q[11];\ncrz(x83) q[9], q[10];\ncrz(x85) q[9], q[8];\ncrz(x86) q[9], q[7];\ncrz(x87) q[9], q[6];\ncrz(x88) q[9], q[5];\ncrz(x89) q[9], q[4];\ncrz(x90) q[9], q[3];\ncrz(x91) q[9], q[2];\ncrz(x92) q[9], q[1];\ncrz(x93) q[9], q[0];\ncrz(x94) q[8], q[11];\ncrz(x83) q[8], q[10];\ncrz(x84) q[8], q[9];\ncrz(x86) q[8], q[7];\ncrz(x87) q[8], q[6];\ncrz(x88) q[8], q[5];\ncrz(x89) q[8], q[4];\ncrz(x90) q[8], q[3];\ncrz(x91) q[8], q[2];\ncrz(x92) q[8], q[1];\ncrz(x93) q[8], q[0];\ncrz(x94) q[7], q[11];\ncrz(x83) q[7], q[10];\ncrz(x84) q[7], q[9];\ncrz(x85) q[7], q[8];\ncrz(x87) q[7], q[6];\ncrz(x88) q[7], q[5];\ncrz(x89) q[7], q[4];\ncrz(x90) q[7], q[3];\ncrz(x91) q[7], q[2];\ncrz(x92) q[7], q[1];\ncrz(x93) q[7], q[0];\ncrz(x94) q[6], q[11];\ncrz(x83) q[6], q[10];\ncrz(x84) q[6], q[9];\ncrz(x85) q[6], q[8];\ncrz(x86) q[6], q[7];\ncrz(x88) q[6], q[5];\ncrz(x89) q[6], q[4];\ncrz(x90) q[6], q[3];\ncrz(x91) q[6], q[2];\ncrz(x92) q[6], q[1];\ncrz(x93) q[6], q[0];\ncrz(x94) q[5], q[11];\ncrz(x83) q[5], q[10];\ncrz(x84) q[5], q[9];\ncrz(x85) q[5], q[8];\ncrz(x86) q[5], q[7];\ncrz(x87) q[5], q[6];\ncrz(x89) q[5], q[4];\ncrz(x90) q[5], q[3];\ncrz(x91) q[5], q[2];\ncrz(x92) q[5], q[1];\ncrz(x93) q[5], q[0];\ncrz(x94) q[4], q[11];\ncrz(x83) q[4], q[10];\ncrz(x84) q[4], q[9];\ncrz(x85) q[4], q[8];\ncrz(x86) q[4], q[7];\ncrz(x87) q[4], q[6];\ncrz(x88) q[4], q[5];\ncrz(x90) q[4], q[3];\ncrz(x91) q[4], q[2];\ncrz(x92) q[4], q[1];\ncrz(x93) q[4], q[0];\ncrz(x94) q[3], q[11];\ncrz(x83) q[3], q[10];\ncrz(x84) q[3], q[9];\ncrz(x85) q[3], q[8];\ncrz(x86) q[3], q[7];\ncrz(x87) q[3], q[6];\ncrz(x88) q[3], q[5];\ncrz(x89) q[3], q[4];\ncrz(x91) q[3], q[2];\ncrz(x92) q[3], q[1];\ncrz(x93) q[3], q[0];\ncrz(x94) q[2], q[11];\ncrz(x83) q[2], q[10];\ncrz(x84) q[2], q[9];\ncrz(x85) q[2], q[8];\ncrz(x86) q[2], q[7];\ncrz(x87) q[2], q[6];\ncrz(x88) q[2], q[5];\ncrz(x89) q[2], q[4];\ncrz(x90) q[2], q[3];\ncrz(x92) q[2], q[1];\ncrz(x93) q[2], q[0];\ncrz(x94) q[1], q[11];\ncrz(x83) q[1], q[10];\ncrz(x84) q[1], q[9];\ncrz(x85) q[1], q[8];\ncrz(x86) q[1], q[7];\ncrz(x87) q[1], q[6];\ncrz(x88) q[1], q[5];\ncrz(x89) q[1], q[4];\ncrz(x90) q[1], q[3];\ncrz(x91) q[1], q[2];\ncrz(x93) q[1], q[0];\ncrz(x94) q[0], q[11];\ncrz(x83) q[0], q[10];\ncrz(x84) q[0], q[9];\ncrz(x85) q[0], q[8];\ncrz(x86) q[0], q[7];\ncrz(x87) q[0], q[6];\ncrz(x88) q[0], q[5];\ncrz(x89) q[0], q[4];\ncrz(x90) q[0], q[3];\ncrz(x91) q[0], q[2];\ncrz(x92) q[0], q[1];\nrx(x95) q[0];\nrz(x96) q[0];\nrx(x97) q[1];\nrz(x98) q[1];\nrx(x99) q[2];\nrz(x100) q[2];\nrx(x101) q[3];\nrz(x102) q[3];\nrx(x103) q[4];\nrz(x29) q[4];\nrx(x104) q[5];\nrz(x29) q[5];\nrx(x105) q[6];\nrz(x96) q[6];\nrx(x12) q[7];\nrz(x106) q[7];\nrx(x107) q[8];\nrz(x108) q[8];\nrx(x6) q[9];\nrz(x102) q[9];\nrx(x109) q[10];\nrz(x110) q[10];\nrx(x111) q[11];\nrz(x112) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["27e77dc99416ada4c5d281f5cb59d253","min_cut","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 3}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 6}, {\"capacity\": 2, \"source\": 5, \"target\": 2}, {\"capacity\": 2, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 4}]}","{\"states\": [32, 55], \"expectation_value\": -5.395897748204695, \"params\": null, \"bitstrings\": [\"1011111\", \"1001000\"], \"total_optimization_steps\": 39, \"probabilities\": [0.11292546284772562, 0.72450709291946], \"optimization_time\": 36.967060804367065}","-0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.5 * Z(6) + 1.5 * Z(1) + -0.5 * Z(2) + 0.5 * Z(4) + 0.25 * Z(5)",1,7,3,"{\"smallest_eigenvalues\": [-5.75, -5.75], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.75, \"smallest_bitstrings\": [\"1000000\", \"1001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nry(-1.5681) q[3];\ncry(1.4449) q[5], q[4];\ncry(1.218) q[4], q[5];\ncry(-1.4449) q[1], q[0];\ncry(1.5477) q[4], q[6];\ncry(1.3) q[4], q[2];\ncry(-0.601) q[1], q[2];\ncry(0.7494) q[5], q[2];\nry(-0.4168) q[2];\ncry(-0.1255) q[6], q[0];\ncry(0.1796) q[6], q[2];\ncry(0.0521) q[6], q[4];\ncry(0.0205) q[2], q[5];\ncry(-0.021) q[1], q[5];\nry(0.0227) q[6];\ncry(0.0118) q[6], q[5];\nry(-0.0108) q[5];\ncry(-0.0008) q[2], q[4];\nry(-0.0006) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"source\": 0, \"sink\": 6}",{"$cut":{"chars":24612,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(-1.5681) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(-1.5681) q[3];\\ncry(1.4449) q[5], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(-1.5681) q[3];\\ncry(1.4449) q[5], q[4];\\ncry(1.218) q[4], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(-1.5681) q[3];\\ncry(1.4449) q[5], q[4];\\ncry(1.218) q[4], q[5];\\ncry(-1.4449) q[1], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(-1.5681) q[3];\\ncry(1.4449) q[5], q[4];\\ncry(1.218) q[4], q[5];\\ncry(-1.4449) q[1], q[0];\\ncry(1.5477) q[4], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(-1.5681) q[3];\\ncry(1.4449) q[5], q[4];\\ncry(1.218) q[4], q[5];\\ncry(-1.4449) q[1], q[0];\\ncry(1.5477) q[4], q[6];\\ncry(1.3) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(-1.5681) q[3];\\ncry(1.4449) q[5], q[4];\\ncry(1.218) q[4], q[5];\\ncry(-1.4449) q[1], q[0];\\ncry(1.5477) q[4], q[6];\\ncry(1.3) q[4], q[2];\\ncry(-0.601) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(-1.5681) q[3];\\ncry(1.4449) q[5], q[4];\\ncry(1.218) q[4], q[5];\\ncry(-1.4449) q[1], q[0];\\ncry(1.5477) q[4], q[6];\\ncry(1.3) q[4], q[2];\\ncry(-0.601) q[1], q[2];\\ncry(0.7494) q[5], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(1.5708) q[1];\\nry(-1.5681) q[3];\\ncry(1.4449) q[5], q[4];\\ncry(1.218) q[4], q[5];\\ncry(-1.4449) q[1], q[0];\\ncry(1.5477) q[4], q[6];\\ncry(1.3) q[4], q[2];\\ncry(-0.601) q[1], q[2];\\ncry(0.7494) q[5], q[2];\\nry(-0.4168) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] "}}]
["e0b770b7192404036ee976edfab3eb82","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 7}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 6}, {\"source\": 5, \"target\": 6}, {\"source\": 5, \"target\": 8}, {\"source\": 5, \"target\": 9}, {\"source\": 6, \"target\": 7}, {\"source\": 6, \"target\": 8}, {\"source\": 6, \"target\": 9}, {\"source\": 8, \"target\": 9}]}","{\"states\": [896, 897], \"expectation_value\": -5.640770418013022, \"params\": [[[1.6579000000000002, 0.0032], [1.7058, 0.0058000000000000005], [1.7102000000000002, 0.0046], [0.038900000000000004, 0.0063], [-0.0193, 0.0015], [0.4788, 0.0031000000000000003], [-0.002, 0.0008], [1.4709, 0.0048000000000000004], [0.6948000000000001, 0.0085], [1.6127, 0.0013000000000000002]]], \"bitstrings\": [\"0001111111\", \"0001111110\"], \"total_optimization_steps\": 170, \"probabilities\": [0.03857518646770771, 0.041946292877161985], \"optimization_time\": 3.0370357036590576}","0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(1) + -1.0 * Z(3) + -3.0 * Z(6) + -1.0 * Z(2) + -1.0 * Z(5) + -1.0 * Z(8) + -1.0 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5], \"number_of_smallest_eigenvalues\": 6, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"1001111010\", \"0001101111\", \"1001101011\", \"1001111001\", \"0001111101\", \"0001111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(1.6579) q[0];\nrz(0.0032) q[0];\nrx(1.7058) q[1];\nrz(0.0058) q[1];\nrx(1.7102) q[2];\nrz(0.0046) q[2];\nrx(0.0389) q[3];\nrz(0.0063) q[3];\nrx(-0.0193) q[4];\nrz(0.0015) q[4];\nrx(0.4788) q[5];\nrz(0.0031) q[5];\nrx(-0.002) q[6];\nrz(0.0008) q[6];\nrx(1.4709) q[7];\nrz(0.0048) q[7];\nrx(0.6948) q[8];\nrz(0.0085) q[8];\nrx(1.6127) q[9];\nrz(0.0013) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["0227fd0262660357a7db3e0f6c7f2278","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}], \"edges\": [{\"weight\": 2, \"source\": 0, \"target\": 3}, {\"weight\": 12, \"source\": 0, \"target\": 5}, {\"weight\": 15, \"source\": 0, \"target\": 4}, {\"weight\": 8, \"source\": 1, \"target\": 4}, {\"weight\": 16, \"source\": 1, \"target\": 5}, {\"weight\": 13, \"source\": 1, \"target\": 3}, {\"weight\": 10, \"source\": 2, \"target\": 5}, {\"weight\": 17, \"source\": 2, \"target\": 3}]}","{\"states\": [213, 118], \"expectation_value\": -17.57879441497488, \"params\": [[0.0, 0.0199, 0.0152, 0.0099], [-0.0014, -0.0329, -0.0422, -0.055200000000000006]], \"bitstrings\": [\"00101010\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.00987747692931869, 0.011934573480343378], \"optimization_time\": 6.3380725383758545}","4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(0)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 9.0 * Z(0) + 14.0 * Z(2) + 14.5 * Z(3) + 8.0 * Z(4) + 16.0 * Z(5) + 12.5 * Z(6) + 9.0 * Z(7)",1,8,4,"{\"smallest_eigenvalues\": [-66.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -60.5, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0) q[7];\ncx q[6], q[7];\nrz(0) q[1];\nrz(0) q[0];\nrz(0) q[2];\nrz(0) q[3];\nrz(0) q[4];\nrz(0) q[5];\nrz(0) q[6];\nrz(0) q[7];\nh q[0];\nrz(-0.0028) q[0];\nh q[0];\nh q[1];\nrz(-0.0028) q[1];\nh q[1];\nh q[2];\nrz(-0.0028) q[2];\nh q[2];\nh q[3];\nrz(-0.0028) q[3];\nh q[3];\nh q[4];\nrz(-0.0028) q[4];\nh q[4];\nh q[5];\nrz(-0.0028) q[5];\nh q[5];\nh q[6];\nrz(-0.0028) q[6];\nh q[6];\nh q[7];\nrz(-0.0028) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1592) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1592) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1592) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.1592) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.1592) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.1592) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.1592) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.1592) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.1592) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0.1592) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.1592) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(0.1592) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.1592) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.1592) q[7];\ncx q[6], q[7];\nrz(0.4577) q[1];\nrz(0.3582) q[0];\nrz(0.5572) q[2];\nrz(0.5771) q[3];\nrz(0.3184) q[4];\nrz(0.6368) q[5];\nrz(0.4975) q[6];\nrz(0.3582) q[7];\nh q[0];\nrz(-0.0658) q[0];\nh q[0];\nh q[1];\nrz(-0.0658) q[1];\nh q[1];\nh q[2];\nrz(-0.0658) q[2];\nh q[2];\nh q[3];\nrz(-0.0658) q[3];\nh q[3];\nh q[4];\nrz(-0.0658) q[4];\nh q[4];\nh q[5];\nrz(-0.0658) q[5];\nh q[5];\nh q[6];\nrz(-0.0658) q[6];\nh q[6];\nh q[7];\nrz(-0.0658) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.1216) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.1216) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.1216) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.1216) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.1216) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.1216) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.1216) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.1216) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.1216) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0.1216) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.1216) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(0.1216) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.1216) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.1216) q[7];\ncx q[6], q[7];\nrz(0.3496) q[1];\nrz(0.2736) q[0];\nrz(0.4256) q[2];\nrz(0.4408) q[3];\nrz(0.2432) q[4];\nrz(0.4864) q[5];\nrz(0.38) q[6];\nrz(0.2736) q[7];\nh q[0];\nrz(-0.0844) q[0];\nh q[0];\nh q[1];\nrz(-0.0844) q[1];\nh q[1];\nh q[2];\nrz(-0.0844) q[2];\nh q[2];\nh q[3];\nrz(-0.0844) q[3];\nh q[3];\nh q[4];\nrz(-0.0844) q[4];\nh q[4];\nh q[5];\nrz(-0.0844) q[5];\nh q[5];\nh q[6];\nrz(-0.0844) q[6];\nh q[6];\nh q[7];\nrz(-0.0844) q[7];\nh q[7];\ncx q[1], q[0];\nrz(0.0792) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(0.0792) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(0.0792) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(0.0792) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(0.0792) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(0.0792) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(0.0792) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(0.0792) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(0.0792) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(0.0792) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(0.0792) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(0.0792) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(0.0792) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(0.0792) q[7];\ncx q[6], q[7];\nrz(0.2277) q[1];\nrz(0.1782) q[0];\nrz(0.2772) q[2];\nrz(0.2871) q[3];\nrz(0.1584) q[4];\nrz(0.3168) q[5];\nrz(0.2475) q[6];\nrz(0.1782) q[7];\nh q[0];\nrz(-0.1104) q[0];\nh q[0];\nh q[1];\nrz(-0.1104) q[1];\nh q[1];\nh q[2];\nrz(-0.1104) q[2];\nh q[2];\nh q[3];\nrz(-0.1104) q[3];\nh q[3];\nh q[4];\nrz(-0.1104) q[4];\nh q[4];\nh q[5];\nrz(-0.1104) q[5];\nh q[5];\nh q[6];\nrz(-0.1104) q[6];\nh q[6];\nh q[7];\nrz(-0.1104) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x0) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x0) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x0) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x0) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x0) q[7];\ncx q[6], q[7];\nrz(x0) q[1];\nrz(x0) q[0];\nrz(x0) q[2];\nrz(x0) q[3];\nrz(x0) q[4];\nrz(x0) q[5];\nrz(x0) q[6];\nrz(x0) q[7];\nh q[0];\nrz(x1) q[0];\nh q[0];\nh q[1];\nrz(x1) q[1];\nh q[1];\nh q[2];\nrz(x1) q[2];\nh q[2];\nh q[3];\nrz(x1) q[3];\nh q[3];\nh q[4];\nrz(x1) q[4];\nh q[4];\nh q[5];\nrz(x1) q[5];\nh q[5];\nh q[6];\nrz(x1) q[6];\nh q[6];\nh q[7];\nrz(x1) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x2) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x2) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x2) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x2) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x2) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x2) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x2) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x2) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x2) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x2) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x2) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x2) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x2) q[7];\ncx q[6], q[7];\nrz(x3) q[1];\nrz(x4) q[0];\nrz(x5) q[2];\nrz(x6) q[3];\nrz(x7) q[4];\nrz(x8) q[5];\nrz(x9) q[6];\nrz(x4) q[7];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nh q[6];\nrz(x10) q[6];\nh q[6];\nh q[7];\nrz(x10) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x11) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x11) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x11) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x11) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x11) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x11) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x11) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x11) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x11) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x11) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x11) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x11) q[7];\ncx q[6], q[7];\nrz(x12) q[1];\nrz(x13) q[0];\nrz(x14) q[2];\nrz(x15) q[3];\nrz(x16) q[4];\nrz(x17) q[5];\nrz(x18) q[6];\nrz(x13) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x20) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[1], q[4];\nrz(x20) q[4];\ncx q[1], q[4];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x20) q[5];\ncx q[3], q[5];\ncx q[4], q[5];\nrz(x20) q[5];\ncx q[4], q[5];\ncx q[0], q[6];\nrz(x20) q[6];\ncx q[0], q[6];\ncx q[3], q[6];\nrz(x20) q[6];\ncx q[3], q[6];\ncx q[2], q[7];\nrz(x20) q[7];\ncx q[2], q[7];\ncx q[5], q[7];\nrz(x20) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x20) q[7];\ncx q[6], q[7];\nrz(x21) q[1];\nrz(x22) q[0];\nrz(x23) q[2];\nrz(x24) q[3];\nrz(x25) q[4];\nrz(x26) q[5];\nrz(x27) q[6];\nrz(x22) q[7];\nh q[0];\nrz(x28) q[0];\nh q[0];\nh q[1];\nrz(x28) q[1];\nh q[1];\nh q[2];\nrz(x28) q[2];\nh q[2];\nh q[3];\nrz(x28) q[3];\nh q[3];\nh q[4];\nrz(x28) q[4];\nh q[4];\nh q[5];\nrz(x28) q[5];\nh q[5];\nh q[6];\nrz(x28) q[6];\nh q[6];\nh q[7];\nrz(x28) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6]}\"}","{\"circuits\": [], \"gradients\": []}"]
["-2681984990663361079","hypermaxcut","adaptive_vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[3, 6], [1, 4], [3, 5], [3, 4], [1, 6], [0, 6], [8, 4], [1, 3], [1, 7], [8, 3], [2, 5]]}","{\"states\": [141, 393], \"expectation_value\": -3.2378709511551818, \"params\": null, \"bitstrings\": [\"101110010\", \"001110110\"], \"total_optimization_steps\": 61, \"probabilities\": [0.07557439405930579, 0.7446570917920271], \"optimization_time\": 70.45878171920776}","0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2)",1,9,1,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 8, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"110001001\", \"001110110\", \"101110010\", \"111100001\", \"000011110\", \"000011111\", \"111100000\", \"010001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[3];\ncry(-1.0342) q[1], q[7];\nry(1.0293) q[1];\ncry(-1.2204) q[0], q[6];\nry(-0.6992) q[7];\nry(0.7595) q[0];\ncry(0.4516) q[0], q[1];\ncry(-0.598) q[1], q[6];\ncry(-1.0675) q[1], q[4];\nry(1.1916) q[8];\nry(-0.4564) q[4];\ncry(1.067) q[8], q[5];\ncry(-1.3965) q[5], q[2];\ncry(-0.8547) q[5], q[3];\nry(0.3046) q[5];\ncry(0.5313) q[1], q[0];\ncry(0.2368) q[5], q[8];\ncry(-0.2755) q[0], q[7];\ncry(0.0866) q[8], q[1];\ncry(-0.1866) q[8], q[2];\ncry(-0.1281) q[1], q[3];\nry(-0.1311) q[6];\ncry(0.1294) q[5], q[0];\ncry(-0.0622) q[5], q[6];\ncry(0.0391) q[1], q[5];\ncry(0.153) q[7], q[4];\ncry(0.1233) q[6], q[1];\ncry(0.1429) q[7], q[6];\ncry(0.0359) q[1], q[8];\ncry(-0.0507) q[8], q[7];\ncry(-0.1134) q[6], q[0];\ncry(0.0495) q[8], q[0];\ncry(0.0748) q[2], q[3];\nry(-0.0234) q[3];\ncry(0.0672) q[3], q[2];\ncry(-0.0764) q[3], q[5];\ncry(-0.0669) q[2], q[5];\ncry(0.064) q[4], q[6];\ncry(-0.0494) q[3], q[6];\ncry(0.0218) q[5], q[4];\ncry(0.019) q[0], q[3];\ncry(-0.024) q[6], q[3];\ncry(0.0306) q[4], q[7];\ncry(0.0279) q[6], q[4];\ncry(-0.0096) q[0], q[4];\ncry(0.0242) q[3], q[0];\nry(0.0109) q[2];\ncry(0.0168) q[2], q[8];\ncry(-0.0052) q[5], q[7];\ncry(-0.0131) q[2], q[6];\ncry(0.0142) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,null,{"$cut":{"chars":64387,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[8], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[8], q[3];\\ncry(-1.0342) q[1], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[8], q[3];\\ncry(-1.0342) q[1], q[7];\\nry(1.0293) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[8], q[3];\\ncry(-1.0342) q[1], q[7];\\nry(1.0293) q[1];\\ncry(-1.2204) q[0], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[8], q[3];\\ncry(-1.0342) q[1], q[7];\\nry(1.0293) q[1];\\ncry(-1.2204) q[0], q[6];\\nry(-0.6992) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[8], q[3];\\ncry(-1.0342) q[1], q[7];\\nry(1.0293) q[1];\\ncry(-1.2204) q[0], q[6];\\nry(-0.6992) q[7];\\nry(0.7595) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[8], q[3];\\ncry(-1.0342) q[1], q[7];\\nry(1.0293) q[1];\\ncry(-1.2204) q[0], q[6];\\nry(-0.6992) q[7];\\nry(0.7595) q[0];\\ncry(0.4516) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[8], q[3];\\ncry(-1.0342) q[1], q[7];\\nry(1.0293) q[1];\\ncry(-1.2204) q[0], q[6];\\nry(-0.6992) q[7];\\nry(0.7595) q[0];\\ncry(0.4516) q[0], q[1];\\ncry(-0.598) q[1], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\nc[8] = measure q[8];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[9] c;\\nqubit[9] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nh q[8];\\ncry(-1.0342) q[8], q[3];\\ncry(-1.0342) q[1], q[7];\\nry(1.0293) q[1];\\ncry(-1.2204) q[0], q[6];\\nry(-0.6992) q[7];\\nry(0.7595) q[0];\\ncry(0.4516) q[0], q[1];\\ncry(-0.598) q[1], q[6];\\ncry(-1.0675) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measu"}}]
["2d66a63516707ef6fa08689003d445e4","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 1, \"source\": 0, \"target\": 4}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 2, \"source\": 1, \"target\": 3}, {\"capacity\": 2, \"source\": 1, \"target\": 5}, {\"capacity\": 1, \"source\": 2, \"target\": 1}, {\"capacity\": 2, \"source\": 2, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 2, \"source\": 4, \"target\": 3}]}","{\"states\": [32, 31], \"expectation_value\": -0.27115727867530703, \"params\": [[-0.038400000000000004, -0.0041, -0.0367, -0.0511], [0.06720000000000001, -0.0046, 0.018000000000000002, 0.048100000000000004]], \"bitstrings\": [\"011111\", \"100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.02044722552289708, 0.021127988909339958], \"optimization_time\": 4.077609062194824}","-0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-4.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.5, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[4], q[0];\nrz(0.0192) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(0.0384) q[1];\ncx q[4], q[1];\ncx q[1], q[2];\nrz(0.0576) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(0.0768) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(0.0384) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(-0.0384) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(0.0384) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0384) q[5];\ncx q[2], q[5];\nrz(-0.0192) q[4];\nrz(0.0192) q[0];\nrz(-0.0576) q[1];\nrz(-0.0192) q[2];\nrz(0.0384) q[3];\nrz(0.0384) q[5];\nh q[0];\nrz(0.1344) q[0];\nh q[0];\nh q[1];\nrz(0.1344) q[1];\nh q[1];\nh q[2];\nrz(0.1344) q[2];\nh q[2];\nh q[3];\nrz(0.1344) q[3];\nh q[3];\nh q[4];\nrz(0.1344) q[4];\nh q[4];\nh q[5];\nrz(0.1344) q[5];\nh q[5];\ncx q[4], q[0];\nrz(0.0021) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(0.0041) q[1];\ncx q[4], q[1];\ncx q[1], q[2];\nrz(0.0062) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(0.0082) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(0.0041) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(-0.0041) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(0.0041) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0041) q[5];\ncx q[2], q[5];\nrz(-0.0021) q[4];\nrz(0.0021) q[0];\nrz(-0.0062) q[1];\nrz(-0.0021) q[2];\nrz(0.0041) q[3];\nrz(0.0041) q[5];\nh q[0];\nrz(-0.0092) q[0];\nh q[0];\nh q[1];\nrz(-0.0092) q[1];\nh q[1];\nh q[2];\nrz(-0.0092) q[2];\nh q[2];\nh q[3];\nrz(-0.0092) q[3];\nh q[3];\nh q[4];\nrz(-0.0092) q[4];\nh q[4];\nh q[5];\nrz(-0.0092) q[5];\nh q[5];\ncx q[4], q[0];\nrz(0.0184) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(0.0367) q[1];\ncx q[4], q[1];\ncx q[1], q[2];\nrz(0.0551) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(0.0734) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(0.0367) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(-0.0367) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(0.0367) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0367) q[5];\ncx q[2], q[5];\nrz(-0.0184) q[4];\nrz(0.0184) q[0];\nrz(-0.0551) q[1];\nrz(-0.0184) q[2];\nrz(0.0367) q[3];\nrz(0.0367) q[5];\nh q[0];\nrz(0.036) q[0];\nh q[0];\nh q[1];\nrz(0.036) q[1];\nh q[1];\nh q[2];\nrz(0.036) q[2];\nh q[2];\nh q[3];\nrz(0.036) q[3];\nh q[3];\nh q[4];\nrz(0.036) q[4];\nh q[4];\nh q[5];\nrz(0.036) q[5];\nh q[5];\ncx q[4], q[0];\nrz(0.0255) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(0.0511) q[1];\ncx q[4], q[1];\ncx q[1], q[2];\nrz(0.0766) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(0.1022) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(0.0511) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(-0.0511) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(0.0511) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(0.0511) q[5];\ncx q[2], q[5];\nrz(-0.0255) q[4];\nrz(0.0255) q[0];\nrz(-0.0766) q[1];\nrz(-0.0255) q[2];\nrz(0.0511) q[3];\nrz(0.0511) q[5];\nh q[0];\nrz(0.0962) q[0];\nh q[0];\nh q[1];\nrz(0.0962) q[1];\nh q[1];\nh q[2];\nrz(0.0962) q[2];\nh q[2];\nh q[3];\nrz(0.0962) q[3];\nh q[3];\nh q[4];\nrz(0.0962) q[4];\nh q[4];\nh q[5];\nrz(0.0962) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[4], q[0];\nrz(x0) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x1) q[1];\ncx q[4], q[1];\ncx q[1], q[2];\nrz(x2) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(x3) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x1) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(x4) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x1) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x1) q[5];\ncx q[2], q[5];\nrz(x5) q[4];\nrz(x0) q[0];\nrz(x6) q[1];\nrz(x5) q[2];\nrz(x1) q[3];\nrz(x1) q[5];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\ncx q[4], q[0];\nrz(x8) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x9) q[1];\ncx q[4], q[1];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(x11) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x9) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(x12) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x9) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x9) q[5];\ncx q[2], q[5];\nrz(x13) q[4];\nrz(x8) q[0];\nrz(x14) q[1];\nrz(x13) q[2];\nrz(x9) q[3];\nrz(x9) q[5];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\ncx q[4], q[0];\nrz(x16) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x17) q[1];\ncx q[4], q[1];\ncx q[1], q[2];\nrz(x18) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(x19) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x17) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(x20) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x17) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x17) q[5];\ncx q[2], q[5];\nrz(x21) q[4];\nrz(x16) q[0];\nrz(x22) q[1];\nrz(x21) q[2];\nrz(x17) q[3];\nrz(x17) q[5];\nh q[0];\nrz(x23) q[0];\nh q[0];\nh q[1];\nrz(x23) q[1];\nh q[1];\nh q[2];\nrz(x23) q[2];\nh q[2];\nh q[3];\nrz(x23) q[3];\nh q[3];\nh q[4];\nrz(x23) q[4];\nh q[4];\nh q[5];\nrz(x23) q[5];\nh q[5];\ncx q[4], q[0];\nrz(x24) q[0];\ncx q[4], q[0];\ncx q[4], q[1];\nrz(x25) q[1];\ncx q[4], q[1];\ncx q[1], q[2];\nrz(x26) q[2];\ncx q[1], q[2];\ncx q[4], q[3];\nrz(x27) q[3];\ncx q[4], q[3];\ncx q[1], q[3];\nrz(x25) q[3];\ncx q[1], q[3];\ncx q[0], q[5];\nrz(x28) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x25) q[5];\ncx q[1], q[5];\ncx q[2], q[5];\nrz(x25) q[5];\ncx q[2], q[5];\nrz(x29) q[4];\nrz(x24) q[0];\nrz(x30) q[1];\nrz(x29) q[2];\nrz(x25) q[3];\nrz(x25) q[5];\nh q[0];\nrz(x31) q[0];\nh q[0];\nh q[1];\nrz(x31) q[1];\nh q[1];\nh q[2];\nrz(x31) q[2];\nh q[2];\nh q[3];\nrz(x31) q[3];\nh q[3];\nh q[4];\nrz(x31) q[4];\nh q[4];\nh q[5];\nrz(x31) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["fc7b19754949f0e05a27875fb69f344a","max_flow","adaptive_vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 3}, {\"capacity\": 6, \"source\": 1, \"target\": 2}, {\"capacity\": 3, \"source\": 2, \"target\": 3}]}","{\"states\": [24, 31], \"expectation_value\": -15.125493274049944, \"params\": null, \"bitstrings\": [\"11100111\", \"11100000\"], \"total_optimization_steps\": 54, \"probabilities\": [0.16125197062073443, 0.2518508410661102], \"optimization_time\": 61.678210973739624}","2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(3) + 13.5 * Z(5) + -1.5 * Z(6) + -3.0 * Z(7) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2)",1,8,3,"{\"smallest_eigenvalues\": [-22.125], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -21.125, \"smallest_bitstrings\": [\"11100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(62.9199) q[5];\nry(4.2103) q[4];\ncry(2.4382) q[7], q[5];\nry(0.3263) q[3];\ncry(1.2445) q[6], q[3];\ncry(-3.31) q[3], q[4];\nry(1.2782) q[7];\ncry(0.6619) q[6], q[4];\nry(-1.5681) q[1];\nry(-1.5486) q[0];\nry(-1.5626) q[2];\ncry(-1.3393) q[5], q[3];\ncry(0.3491) q[4], q[3];\ncry(-0.2453) q[3], q[5];\ncry(-0.6492) q[4], q[5];\ncry(0.8643) q[6], q[5];\ncry(-0.3378) q[3], q[7];\ncry(0.2784) q[6], q[7];\ncry(-0.1633) q[4], q[7];\ncry(0.3087) q[7], q[6];\nry(-0.2212) q[6];\ncry(0.1231) q[5], q[7];\ncry(-0.03) q[5], q[4];\ncry(0.1207) q[5], q[6];\ncry(0.0238) q[7], q[4];\ncry(-0.1659) q[4], q[6];\ncry(-0.0499) q[7], q[3];\ncry(-0.0219) q[4], q[0];\ncry(-0.0216) q[3], q[6];\ncry(-0.0081) q[4], q[2];\ncry(-0.0027) q[4], q[1];\ncry(-0.0044) q[7], q[0];\ncry(-0.0005) q[7], q[1];\ncry(-0.0016) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"source\": 0, \"sink\": 3}",{"$cut":{"chars":45259,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nry(4.2103) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nry(4.2103) q[4];\\ncry(2.4382) q[7], q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nry(4.2103) q[4];\\ncry(2.4382) q[7], q[5];\\nry(0.3263) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nry(4.2103) q[4];\\ncry(2.4382) q[7], q[5];\\nry(0.3263) q[3];\\ncry(1.2445) q[6], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nry(4.2103) q[4];\\ncry(2.4382) q[7], q[5];\\nry(0.3263) q[3];\\ncry(1.2445) q[6], q[3];\\ncry(-3.31) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nry(4.2103) q[4];\\ncry(2.4382) q[7], q[5];\\nry(0.3263) q[3];\\ncry(1.2445) q[6], q[3];\\ncry(-3.31) q[3], q[4];\\nry(1.2782) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nry(4.2103) q[4];\\ncry(2.4382) q[7], q[5];\\nry(0.3263) q[3];\\ncry(1.2445) q[6], q[3];\\ncry(-3.31) q[3], q[4];\\nry(1.2782) q[7];\\ncry(0.6619) q[6], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nry(4.2103) q[4];\\ncry(2.4382) q[7], q[5];\\nry(0.3263) q[3];\\ncry(1.2445) q[6], q[3];\\ncry(-3.31) q[3], q[4];\\nry(1.2782) q[7];\\ncry(0.6619) q[6], q[4];\\nry(-1.5681) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(62.9199) q[5];\\nry(4.2103) q[4];\\ncry(2.4382) q[7], q[5];\\nry(0.3263) q[3];\\ncry(1.2445) q[6], q[3];\\ncry(-3.31) q[3], q[4];\\nry(1.2782)"}}]
["18da590fe700e31fa390d98ebb622e6e","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 3, \"source\": 0, \"target\": 2}, {\"capacity\": 4, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 0, \"target\": 8}, {\"capacity\": 4, \"source\": 0, \"target\": 9}, {\"capacity\": 3, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 4, \"source\": 2, \"target\": 4}, {\"capacity\": 3, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 7}, {\"capacity\": 1, \"source\": 3, \"target\": 9}, {\"capacity\": 2, \"source\": 4, \"target\": 7}, {\"capacity\": 4, \"source\": 4, \"target\": 8}, {\"capacity\": 4, \"source\": 4, \"target\": 9}, {\"capacity\": 3, \"source\": 5, \"target\": 2}, {\"capacity\": 3, \"source\": 5, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 8}, {\"capacity\": 4, \"source\": 5, \"target\": 9}, {\"capacity\": 2, \"source\": 6, \"target\": 5}, {\"capacity\": 2, \"source\": 6, \"target\": 8}, {\"capacity\": 4, \"source\": 6, \"target\": 9}, {\"capacity\": 2, \"source\": 7, \"target\": 9}, {\"capacity\": 2, \"source\": 8, \"target\": 2}, {\"capacity\": 1, \"source\": 8, \"target\": 3}, {\"capacity\": 1, \"source\": 8, \"target\": 4}, {\"capacity\": 2, \"source\": 8, \"target\": 5}, {\"capacity\": 2, \"source\": 8, \"target\": 9}]}","{\"states\": [16, 511], \"expectation_value\": -0.11826067923857546, \"params\": [[0.0078000000000000005, 0.40890000000000004, 0.0085, 0.0025, 0.0083, 0.007200000000000001, 0.0032, 0.0067, 0.0067, 0.008], [0.0, 0.4078, -0.003, 0.0058000000000000005, 0.0078000000000000005, 0.0014, 0.003, 0.0076, 0.0034000000000000002, 0.006]], \"bitstrings\": [\"1111101111\", \"1000000000\"], \"total_optimization_steps\": 40, \"probabilities\": [0.0011320499828340394, 0.0011320521611566476], \"optimization_time\": 17.55660343170166}","-0.75 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + 2.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(8)) + -0.25 * (Z(3) @ Z(9)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(8)) + -1.0 * (Z(5) @ Z(9)) + -2.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(6) + -0.5 * Z(8) + -1.5 * Z(9) + 1.0 * Z(1) + 1.25 * Z(4) + 1.5 * Z(3) + -0.75 * Z(7) + 1.75 * Z(5)",9,10,2,"{\"smallest_eigenvalues\": [-14.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -13.25, \"smallest_bitstrings\": [\"1000000000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0.0078) q[0];\nrx(0.4089) q[1];\nrx(0.0085) q[2];\nrx(0.0025) q[3];\nrx(0.0083) q[4];\nrx(0.0072) q[5];\nrx(0.0032) q[6];\nrx(0.0067) q[7];\nrx(0.0067) q[8];\nrx(0.008) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(0) q[0];\nrx(0.4078) q[1];\nrx(-0.003) q[2];\nrx(0.0058) q[3];\nrx(0.0078) q[4];\nrx(0.0014) q[5];\nrx(0.003) q[6];\nrx(0.0076) q[7];\nrx(0.0034) q[8];\nrx(0.006) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x0) q[0];\nrx(x1) q[1];\nrx(x2) q[2];\nrx(x3) q[3];\nrx(x4) q[4];\nrx(x5) q[5];\nrx(x6) q[6];\nrx(x7) q[7];\nrx(x7) q[8];\nrx(x8) q[9];\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncz q[9], q[8];\ncz q[8], q[7];\ncz q[7], q[6];\ncz q[6], q[5];\ncz q[5], q[4];\ncz q[4], q[3];\ncz q[3], q[2];\ncz q[2], q[1];\ncz q[1], q[0];\nrx(x9) q[0];\nrx(x10) q[1];\nrx(x11) q[2];\nrx(x12) q[3];\nrx(x0) q[4];\nrx(x13) q[5];\nrx(x14) q[6];\nrx(x15) q[7];\nrx(x16) q[8];\nrx(x17) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["cad641d981f27f8814cde398a8be85de","matching","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 4, \"source\": 0, \"target\": 3}, {\"weight\": 12, \"source\": 0, \"target\": 7}, {\"weight\": 20, \"source\": 0, \"target\": 6}, {\"weight\": 15, \"source\": 0, \"target\": 4}, {\"weight\": 1, \"source\": 1, \"target\": 4}, {\"weight\": 12, \"source\": 1, \"target\": 7}, {\"weight\": 13, \"source\": 1, \"target\": 6}, {\"weight\": 7, \"source\": 2, \"target\": 5}]}","{\"states\": [230, 118], \"expectation_value\": -15.69894234995331, \"params\": [[-0.04, -0.0162, -0.0043], [0.065, 0.0446, 0.0308]], \"bitstrings\": [\"00011001\", \"10001001\"], \"total_optimization_steps\": 10, \"probabilities\": [0.012940047996756136, 0.014473013740872035], \"optimization_time\": 5.586197853088379}","4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 6.5 * Z(0) + 15.0 * Z(3) + 16.5 * Z(1) + 19.0 * Z(2) + 11.0 * Z(5) + 10.5 * Z(6) + 5.0 * Z(4) + -5.5 * Z(7)",1,8,3,"{\"smallest_eigenvalues\": [-66.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -58.0, \"smallest_bitstrings\": [\"10001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[3];\nrz(-0.36) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(-0.36) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.36) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(-0.36) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.36) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.36) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(-0.36) q[5];\ncx q[2], q[5];\ncx q[3], q[6];\nrz(-0.36) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.36) q[6];\ncx q[5], q[6];\ncx q[1], q[4];\nrz(-0.36) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(-0.36) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(-0.36) q[4];\ncx q[6], q[4];\nrz(-0.52) q[0];\nrz(-1.2) q[3];\nrz(-1.32) q[1];\nrz(-1.52) q[2];\nrz(-0.88) q[5];\nrz(-0.84) q[6];\nrz(-0.4) q[4];\nrz(0.44) q[7];\nh q[0];\nrz(0.13) q[0];\nh q[0];\nh q[1];\nrz(0.13) q[1];\nh q[1];\nh q[2];\nrz(0.13) q[2];\nh q[2];\nh q[3];\nrz(0.13) q[3];\nh q[3];\nh q[4];\nrz(0.13) q[4];\nh q[4];\nh q[5];\nrz(0.13) q[5];\nh q[5];\nh q[6];\nrz(0.13) q[6];\nh q[6];\nh q[7];\nrz(0.13) q[7];\nh q[7];\ncx q[0], q[3];\nrz(-0.1458) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(-0.1458) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.1458) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(-0.1458) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.1458) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.1458) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(-0.1458) q[5];\ncx q[2], q[5];\ncx q[3], q[6];\nrz(-0.1458) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.1458) q[6];\ncx q[5], q[6];\ncx q[1], q[4];\nrz(-0.1458) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(-0.1458) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(-0.1458) q[4];\ncx q[6], q[4];\nrz(-0.2106) q[0];\nrz(-0.486) q[3];\nrz(-0.5346) q[1];\nrz(-0.6156) q[2];\nrz(-0.3564) q[5];\nrz(-0.3402) q[6];\nrz(-0.162) q[4];\nrz(0.1782) q[7];\nh q[0];\nrz(0.0892) q[0];\nh q[0];\nh q[1];\nrz(0.0892) q[1];\nh q[1];\nh q[2];\nrz(0.0892) q[2];\nh q[2];\nh q[3];\nrz(0.0892) q[3];\nh q[3];\nh q[4];\nrz(0.0892) q[4];\nh q[4];\nh q[5];\nrz(0.0892) q[5];\nh q[5];\nh q[6];\nrz(0.0892) q[6];\nh q[6];\nh q[7];\nrz(0.0892) q[7];\nh q[7];\ncx q[0], q[3];\nrz(-0.0387) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(-0.0387) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(-0.0387) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(-0.0387) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(-0.0387) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(-0.0387) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(-0.0387) q[5];\ncx q[2], q[5];\ncx q[3], q[6];\nrz(-0.0387) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(-0.0387) q[6];\ncx q[5], q[6];\ncx q[1], q[4];\nrz(-0.0387) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(-0.0387) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(-0.0387) q[4];\ncx q[6], q[4];\nrz(-0.0559) q[0];\nrz(-0.129) q[3];\nrz(-0.1419) q[1];\nrz(-0.1634) q[2];\nrz(-0.0946) q[5];\nrz(-0.0903) q[6];\nrz(-0.043) q[4];\nrz(0.0473) q[7];\nh q[0];\nrz(0.0616) q[0];\nh q[0];\nh q[1];\nrz(0.0616) q[1];\nh q[1];\nh q[2];\nrz(0.0616) q[2];\nh q[2];\nh q[3];\nrz(0.0616) q[3];\nh q[3];\nh q[4];\nrz(0.0616) q[4];\nh q[4];\nh q[5];\nrz(0.0616) q[5];\nh q[5];\nh q[6];\nrz(0.0616) q[6];\nh q[6];\nh q[7];\nrz(0.0616) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x0) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x0) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x0) q[6];\ncx q[5], q[6];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x0) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x0) q[4];\ncx q[6], q[4];\nrz(x1) q[0];\nrz(x2) q[3];\nrz(x3) q[1];\nrz(x4) q[2];\nrz(x5) q[5];\nrz(x6) q[6];\nrz(x7) q[4];\nrz(x8) q[7];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\nh q[7];\nrz(x9) q[7];\nh q[7];\ncx q[0], q[3];\nrz(x10) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x10) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x10) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x10) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x10) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(x10) q[5];\ncx q[2], q[5];\ncx q[3], q[6];\nrz(x10) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x10) q[6];\ncx q[5], q[6];\ncx q[1], q[4];\nrz(x10) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x10) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x10) q[4];\ncx q[6], q[4];\nrz(x11) q[0];\nrz(x12) q[3];\nrz(x13) q[1];\nrz(x14) q[2];\nrz(x15) q[5];\nrz(x16) q[6];\nrz(x17) q[4];\nrz(x18) q[7];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\nh q[7];\nrz(x19) q[7];\nh q[7];\ncx q[0], q[3];\nrz(x20) q[3];\ncx q[0], q[3];\ncx q[0], q[1];\nrz(x20) q[1];\ncx q[0], q[1];\ncx q[3], q[1];\nrz(x20) q[1];\ncx q[3], q[1];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[3], q[2];\nrz(x20) q[2];\ncx q[3], q[2];\ncx q[1], q[2];\nrz(x20) q[2];\ncx q[1], q[2];\ncx q[2], q[5];\nrz(x20) q[5];\ncx q[2], q[5];\ncx q[3], q[6];\nrz(x20) q[6];\ncx q[3], q[6];\ncx q[5], q[6];\nrz(x20) q[6];\ncx q[5], q[6];\ncx q[1], q[4];\nrz(x20) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x20) q[4];\ncx q[5], q[4];\ncx q[6], q[4];\nrz(x20) q[4];\ncx q[6], q[4];\nrz(x21) q[0];\nrz(x22) q[3];\nrz(x23) q[1];\nrz(x24) q[2];\nrz(x25) q[5];\nrz(x26) q[6];\nrz(x27) q[4];\nrz(x28) q[7];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\nh q[7];\nrz(x29) q[7];\nh q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}","{\"circuits\": [], \"gradients\": []}"]
["a645ae3643161db4224eacb5097991ef","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 4, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [2915, 2923], \"expectation_value\": -2.4861881669032506, \"params\": [1.3367, 0.5765, 0.1506, 0.9548000000000001, 1.4053, -0.0025, 1.4038000000000002, -0.3171, 0.36060000000000003, -0.5605, 1.3995, -0.034, 1.3989, 0.2676, 0.3788, 0.45220000000000005, 0.8952, -0.326, 0.37260000000000004, -0.5537000000000001, 1.4020000000000001, -0.0082, 1.4029, 0.002, 1.0708, 0.0043, 0.108, 0.0007, 1.4002000000000001, 0.0039000000000000003, 1.3963, 0.0035, 0.3543, 0.008700000000000001, 1.4025, 0.0019, 1.405, 0.0058000000000000005, 0.3831, 0.0064, 0.8722000000000001, 0.0055000000000000005, 0.36710000000000004, 0.002, 1.3980000000000001, 0.001, 1.4020000000000001, 0.004, -0.0082, 1.1337000000000002, -0.8399000000000001, -0.0369, -0.5643, -0.5405, -0.0037, 0.4611, -0.5323, -0.5665, 0.14780000000000001, 0.0035, 0.004200000000000001, 0.004200000000000001, 0.0094, 0.007200000000000001, 0.00030000000000000003, 0.0043, 0.0009000000000000001, 0.0098, 0.0058000000000000005, 0.0064, 0.0036000000000000003, 0.0067], \"bitstrings\": [\"010010011100\", \"010010010100\"], \"total_optimization_steps\": 140, \"probabilities\": [0.20605143829924316, 0.30729487413818724], \"optimization_time\": 83.09997129440308}","0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(7)) + -0.125 * (Z(6) @ Z(0) @ Z(7)) + -0.125 * (Z(6) @ Z(2) @ Z(7)) + 0.125 * (Z(6) @ Z(0) @ Z(2) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(8)) + 0.125 * (Z(3) @ Z(9)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(6) @ Z(9)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(6) @ Z(3) @ Z(8)) + -0.125 * (Z(6) @ Z(3) @ Z(9)) + -0.125 * (Z(3) @ Z(8) @ Z(9)) + -0.125 * (Z(6) @ Z(8) @ Z(9)) + 0.125 * (Z(6) @ Z(3) @ Z(8) @ Z(9)) + 0.25 * (Z(8) @ Z(4)) + 0.25 * (Z(10) @ Z(4)) + 0.25 * (Z(10) @ Z(8)) + -0.25 * (Z(10) @ Z(8) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(10) @ Z(1)) + 0.125 * (Z(11) @ Z(1)) + 0.125 * (Z(10) @ Z(5)) + 0.125 * (Z(11) @ Z(5)) + 0.125 * (Z(10) @ Z(11)) + -0.125 * (Z(10) @ Z(1) @ Z(5)) + -0.125 * (Z(11) @ Z(1) @ Z(5)) + -0.125 * (Z(10) @ Z(11) @ Z(1)) + -0.125 * (Z(10) @ Z(11) @ Z(5)) + 0.125 * (Z(10) @ Z(11) @ Z(1) @ Z(5)) + 0.25 * (Z(7) @ Z(9)) + 0.25 * (Z(7) @ Z(11)) + 0.25 * (Z(11) @ Z(9)) + -0.25 * (Z(7) @ Z(11) @ Z(9)) + -0.125 * Z(0) + -0.125 * Z(1) + 0.25 * Z(2) + 0.25 * Z(3) + 0.125 * Z(4) + 0.25 * Z(5) + 0.25 * Z(6) + 0.125 * Z(7) + 0.125 * Z(8) + 0.125 * Z(9) + 0.125 * Z(10) + 0.125 * Z(11)",18,12,2,"{\"smallest_eigenvalues\": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], \"number_of_smallest_eigenvalues\": 31, \"first_excited_energy\": -2.5, \"smallest_bitstrings\": [\"110010000100\", \"011000011000\", \"010110010000\", \"100110000001\", \"100100000011\", \"010100011000\", \"010010110000\", \"011000001100\", \"100001011000\", \"100100010010\", \"100001001100\", \"011000001001\", \"100001001001\", \"100100001001\", \"011000000110\", \"100001000110\", \"011010000100\", \"100100000110\", \"100010000101\", \"100010000110\", \"010001011000\", \"101000001001\", \"010010011000\", \"100011000100\", \"101000000110\", \"010010100001\", \"010010100100\", \"100010100001\", \"010010010100\", \"100010001001\", \"010100010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(1.3367) q[0];\nrz(0.5765) q[0];\nrx(0.1506) q[1];\nrz(0.9548) q[1];\nrx(1.4053) q[2];\nrz(-0.0025) q[2];\nrx(1.4038) q[3];\nrz(-0.3171) q[3];\nrx(0.3606) q[4];\nrz(-0.5605) q[4];\nrx(1.3995) q[5];\nrz(-0.034) q[5];\nrx(1.3989) q[6];\nrz(0.2676) q[6];\nrx(0.3788) q[7];\nrz(0.4522) q[7];\nrx(0.8952) q[8];\nrz(-0.326) q[8];\nrx(0.3726) q[9];\nrz(-0.5537) q[9];\nrx(1.402) q[10];\nrz(-0.0082) q[10];\nrx(1.4029) q[11];\nrz(0.002) q[11];\ncrz(-0.0082) q[11], q[0];\ncrz(0.0035) q[10], q[11];\ncrz(0.1478) q[9], q[10];\ncrz(-0.5665) q[8], q[9];\ncrz(-0.5323) q[7], q[8];\ncrz(0.4611) q[6], q[7];\ncrz(-0.0037) q[5], q[6];\ncrz(-0.5405) q[4], q[5];\ncrz(-0.5643) q[3], q[4];\ncrz(-0.0369) q[2], q[3];\ncrz(-0.8399) q[1], q[2];\ncrz(1.1337) q[0], q[1];\nrx(1.0708) q[0];\nrz(0.0043) q[0];\nrx(0.108) q[1];\nrz(0.0007) q[1];\nrx(1.4002) q[2];\nrz(0.0039) q[2];\nrx(1.3963) q[3];\nrz(0.0035) q[3];\nrx(0.3543) q[4];\nrz(0.0087) q[4];\nrx(1.4025) q[5];\nrz(0.0019) q[5];\nrx(1.405) q[6];\nrz(0.0058) q[6];\nrx(0.3831) q[7];\nrz(0.0064) q[7];\nrx(0.8722) q[8];\nrz(0.0055) q[8];\nrx(0.3671) q[9];\nrz(0.002) q[9];\nrx(1.398) q[10];\nrz(0.001) q[10];\nrx(1.402) q[11];\nrz(0.004) q[11];\ncrz(0.0042) q[11], q[0];\ncrz(0.0067) q[10], q[11];\ncrz(0.0036) q[9], q[10];\ncrz(0.0064) q[8], q[9];\ncrz(0.0058) q[7], q[8];\ncrz(0.0098) q[6], q[7];\ncrz(0.0009) q[5], q[6];\ncrz(0.0043) q[4], q[5];\ncrz(0.0003) q[3], q[4];\ncrz(0.0072) q[2], q[3];\ncrz(0.0094) q[1], q[2];\ncrz(0.0042) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\nrx(x18) q[9];\nrz(x19) q[9];\nrx(x20) q[10];\nrz(x21) q[10];\nrx(x22) q[11];\nrz(x23) q[11];\ncrz(x21) q[11], q[0];\ncrz(x24) q[10], q[11];\ncrz(x25) q[9], q[10];\ncrz(x26) q[8], q[9];\ncrz(x27) q[7], q[8];\ncrz(x28) q[6], q[7];\ncrz(x29) q[5], q[6];\ncrz(x30) q[4], q[5];\ncrz(x31) q[3], q[4];\ncrz(x32) q[2], q[3];\ncrz(x33) q[1], q[2];\ncrz(x34) q[0], q[1];\nrx(x35) q[0];\nrz(x36) q[0];\nrx(x37) q[1];\nrz(x38) q[1];\nrx(x39) q[2];\nrz(x40) q[2];\nrx(x41) q[3];\nrz(x24) q[3];\nrx(x42) q[4];\nrz(x43) q[4];\nrx(x44) q[5];\nrz(x45) q[5];\nrx(x46) q[6];\nrz(x47) q[6];\nrx(x48) q[7];\nrz(x49) q[7];\nrx(x50) q[8];\nrz(x51) q[8];\nrx(x52) q[9];\nrz(x23) q[9];\nrx(x53) q[10];\nrz(x54) q[10];\nrx(x20) q[11];\nrz(x55) q[11];\ncrz(x56) q[11], q[0];\ncrz(x57) q[10], q[11];\ncrz(x58) q[9], q[10];\ncrz(x49) q[8], q[9];\ncrz(x47) q[7], q[8];\ncrz(x59) q[6], q[7];\ncrz(x60) q[5], q[6];\ncrz(x36) q[4], q[5];\ncrz(x61) q[3], q[4];\ncrz(x62) q[2], q[3];\ncrz(x63) q[1], q[2];\ncrz(x56) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["3955320569394152503","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 2, 3, 4, 6], [8, 2, 6], [8, 5], [1, 2, 6], [0, 8, 4, 6], [0, 8, 2, 7], [8, 3, 7], [8, 2, 3], [8, 4, 6, 7], [8, 0, 2, 4], [5, 6], [2, 3, 6, 7], [5, 7], [1, 3, 5]]}","{\"states\": [487, 423], \"expectation_value\": -2.9348649242939713, \"params\": [1.375, 1.3866, 0.9792000000000001, 1.3991, 0.8358, 0.7579, 1.3958000000000002, 1.3900000000000001, 0.5292, 0.6777000000000001, 0.17600000000000002, 0.1763, 1.4003, 1.3925, 1.3894, 1.3858000000000001, 1.3796000000000002, 1.3881000000000001, 1.1183, 0.7641, 1.2258, 0.7649, 0.9099, 1.1169, 0.08900000000000001, 1.3783, 0.10690000000000001, 1.304, 0.15990000000000001, 1.1611, 0.0134, 0.1041, 0.0378, 1.3683, 1.0629, 0.6785], \"bitstrings\": [\"000011000\", \"001011000\"], \"total_optimization_steps\": 140, \"probabilities\": [0.11268918191594174, 0.12831217767900013], \"optimization_time\": 7.462233543395996}","0.21666666666666667 * (Z(0) @ Z(2)) + 0.3 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.4666666666666666 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.49999999999999994 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.975 * Z(2) + 0.4750000000000001 * Z(0) + 0.7250000000000002 * Z(3) + 0.4750000000000001 * Z(4) + 0.8083333333333333 * Z(6) + 1.0 * Z(8) + 0.16666666666666652 * Z(5) + 0.3333333333333333 * Z(1) + 0.5416666666666667 * Z(7)",14,9,1,"{\"smallest_eigenvalues\": [-4.2], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.866666666666667, \"smallest_bitstrings\": [\"001011000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nry(1.375) q[0];\nry(0.9792) q[1];\nry(0.8358) q[2];\nry(1.3958) q[3];\nry(0.5292) q[4];\nry(0.176) q[5];\nry(1.4003) q[6];\nry(1.3894) q[7];\nry(1.3796) q[8];\ncrx(1.1183) q[8], q[0];\ncrx(1.0629) q[7], q[8];\ncrx(0.0378) q[6], q[7];\ncrx(0.0134) q[5], q[6];\ncrx(0.1599) q[4], q[5];\ncrx(0.1069) q[3], q[4];\ncrx(0.089) q[2], q[3];\ncrx(0.9099) q[1], q[2];\ncrx(1.2258) q[0], q[1];\nry(1.3866) q[0];\nry(1.3991) q[1];\nry(0.7579) q[2];\nry(1.39) q[3];\nry(0.6777) q[4];\nry(0.1763) q[5];\nry(1.3925) q[6];\nry(1.3858) q[7];\nry(1.3881) q[8];\ncrx(0.7641) q[8], q[7];\ncrx(0.7649) q[0], q[8];\ncrx(1.1169) q[0], q[1];\ncrx(1.3783) q[1], q[2];\ncrx(1.304) q[2], q[3];\ncrx(1.1611) q[3], q[4];\ncrx(0.1041) q[4], q[5];\ncrx(1.3683) q[5], q[6];\ncrx(0.6785) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\ncrx(x9) q[8], q[0];\ncrx(x10) q[7], q[8];\ncrx(x11) q[6], q[7];\ncrx(x12) q[5], q[6];\ncrx(x13) q[4], q[5];\ncrx(x14) q[3], q[4];\ncrx(x15) q[2], q[3];\ncrx(x16) q[1], q[2];\ncrx(x17) q[0], q[1];\nry(x18) q[0];\nry(x19) q[1];\nry(x20) q[2];\nry(x21) q[3];\nry(x22) q[4];\nry(x23) q[5];\nry(x24) q[6];\nry(x25) q[7];\nry(x26) q[8];\ncrx(x27) q[8], q[7];\ncrx(x28) q[0], q[8];\ncrx(x29) q[0], q[1];\ncrx(x30) q[1], q[2];\ncrx(x31) q[2], q[3];\ncrx(x32) q[3], q[4];\ncrx(x33) q[4], q[5];\ncrx(x34) q[5], q[6];\ncrx(x35) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["8c44c442a25e00dfae4e1647b2faf79f","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [6, 3], \"expectation_value\": -7.0656952876822015, \"params\": null, \"bitstrings\": [\"11001\", \"11100\"], \"total_optimization_steps\": 29, \"probabilities\": [0.13151145307142467, 0.6825224339075274], \"optimization_time\": 28.740375757217407}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4)",16,5,1,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"11100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\ncry(-1.5708) q[4], q[2];\ncry(-1.566) q[3], q[0];\nry(1.033) q[3];\nry(0.6973) q[4];\nry(-0.4799) q[0];\nry(-0.2689) q[2];\ncry(0.4052) q[3], q[4];\ncry(-0.2661) q[3], q[2];\ncry(0.259) q[4], q[3];\ncry(-0.1613) q[4], q[0];\ncry(0.2083) q[2], q[3];\ncry(-0.1438) q[2], q[4];\ncry(0.2156) q[0], q[4];\ncry(-0.113) q[0], q[3];\ncry(-0.069) q[0], q[2];\ncry(-0.0442) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"k\": 3}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [2.7768, 1.5099, 0.9426, 1.671, 0.8305, 1.1104, 0.5906, 0.4879, 0.5481, 0.3245, 0.3485, 0.0716, 0.0675, 0.0652, 0.0476, 0.0295, 0.019, 0.0111, 0.0109, 0.0084, 0.0079, 0.0076, 0.0056, 0.0054, 0.0049, 0.0048, 0.0038, 0.0037, 0.0026]}"]
["985edb9810580f42105e58073ed960e5","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 0, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}, {\"bipartite\": 1, \"id\": 11}, {\"bipartite\": 1, \"id\": 12}, {\"bipartite\": 1, \"id\": 13}, {\"bipartite\": 1, \"id\": 14}], \"edges\": [{\"weight\": 9, \"source\": 0, \"target\": 7}, {\"weight\": 13, \"source\": 0, \"target\": 11}, {\"weight\": 3, \"source\": 1, \"target\": 8}, {\"weight\": 8, \"source\": 2, \"target\": 9}, {\"weight\": 4, \"source\": 3, \"target\": 10}, {\"weight\": 18, \"source\": 3, \"target\": 12}, {\"weight\": 9, \"source\": 4, \"target\": 11}, {\"weight\": 18, \"source\": 4, \"target\": 7}, {\"weight\": 5, \"source\": 5, \"target\": 12}, {\"weight\": 11, \"source\": 5, \"target\": 13}, {\"weight\": 4, \"source\": 6, \"target\": 13}, {\"weight\": 18, \"source\": 6, \"target\": 7}]}","{\"states\": [3157, 2133], \"expectation_value\": -111.9484375258961, \"params\": [2.7923, 0.0017000000000000001, 1.4859, 0.005, -0.0025, 0.004200000000000001, 0.0023, 0.0023, -0.0029000000000000002, 0.0059, 2.8014, 0.0089, 0.9649000000000001, 0.0088, 2.7939000000000003, 0.0094, 0.7162000000000001, 0.0035, 2.7941000000000003, 0.0035, 0.5859, 0.0027, 2.8029, 0.0044, 0.0074, 0.0064, 0.003, 0.0032, 0.008, 0.0053, 0.0013000000000000002, 0.0059, 0.0014, 0.008700000000000001, 0.0013000000000000002, 0.0067], \"bitstrings\": [\"001110101010\", \"011110101010\"], \"total_optimization_steps\": 280, \"probabilities\": [0.24869856840431137, 0.2947641723164789], \"optimization_time\": 6.412942886352539}","8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(11) @ Z(1)) + 8.0 * (Z(11) @ Z(7)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(10) @ Z(11)) + 6.5 * Z(0) + 12.5 * Z(1) + -6.0 * Z(4) + 9.0 * Z(5) + 4.5 * Z(6) + 17.0 * Z(7) + 2.5 * Z(8) + 5.5 * Z(9) + 17.0 * Z(11) + 2.0 * Z(10) + -14.5 * Z(2) + -12.0 * Z(3)",18,12,1,"{\"smallest_eigenvalues\": [-138.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -125.0, \"smallest_bitstrings\": [\"011110101010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nrx(2.7923) q[0];\nrz(0.0017) q[0];\nrx(1.4859) q[1];\nrz(0.005) q[1];\nrx(-0.0025) q[2];\nrz(0.0042) q[2];\nrx(0.0023) q[3];\nrz(0.0023) q[3];\nrx(-0.0029) q[4];\nrz(0.0059) q[4];\nrx(2.8014) q[5];\nrz(0.0089) q[5];\nrx(0.9649) q[6];\nrz(0.0088) q[6];\nrx(2.7939) q[7];\nrz(0.0094) q[7];\nrx(0.7162) q[8];\nrz(0.0035) q[8];\nrx(2.7941) q[9];\nrz(0.0035) q[9];\nrx(0.5859) q[10];\nrz(0.0027) q[10];\nrx(2.8029) q[11];\nrz(0.0044) q[11];\ncrz(0.0074) q[11], q[0];\ncrz(0.0067) q[10], q[11];\ncrz(0.0013) q[9], q[10];\ncrz(0.0087) q[8], q[9];\ncrz(0.0014) q[7], q[8];\ncrz(0.0059) q[6], q[7];\ncrz(0.0013) q[5], q[6];\ncrz(0.0053) q[4], q[5];\ncrz(0.008) q[3], q[4];\ncrz(0.0032) q[2], q[3];\ncrz(0.003) q[1], q[2];\ncrz(0.0064) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x6) q[3];\nrx(x7) q[4];\nrz(x8) q[4];\nrx(x9) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x15) q[8];\nrz(x16) q[8];\nrx(x17) q[9];\nrz(x16) q[9];\nrx(x18) q[10];\nrz(x19) q[10];\nrx(x20) q[11];\nrz(x21) q[11];\ncrz(x22) q[11], q[0];\ncrz(x23) q[10], q[11];\ncrz(x24) q[9], q[10];\ncrz(x25) q[8], q[9];\ncrz(x26) q[7], q[8];\ncrz(x8) q[6], q[7];\ncrz(x24) q[5], q[6];\ncrz(x27) q[4], q[5];\ncrz(x28) q[3], q[4];\ncrz(x29) q[2], q[3];\ncrz(x30) q[1], q[2];\ncrz(x31) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5, 6], \\\"right_nodes\\\": [7, 8, 9, 10, 11, 12, 13, 14]}\"}","{\"circuits\": [], \"gradients\": []}"]
["a4887282391b847c36275b441eb6d545","vertex_cover","qaoa","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 5}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}]}","{\"states\": [3, 20], \"expectation_value\": -2.2510400003156095, \"params\": [[-0.0502, -0.048400000000000006, -0.0584, -0.06960000000000001], [0.0665, 0.0545, 0.0636, 0.0688]], \"bitstrings\": [\"111100\", \"101011\"], \"total_optimization_steps\": 10, \"probabilities\": [0.034533171707579975, 0.034533171707579996], \"optimization_time\": 6.99358344078064}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-5.5, -5.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -4.5, \"smallest_bitstrings\": [\"111100\", \"101011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(-0.0502) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0502) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0502) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0502) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0502) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0502) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0502) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0502) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0502) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0502) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0502) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0502) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0502) q[5];\ncx q[3], q[5];\nrz(0.1506) q[1];\nrz(0.2008) q[0];\nrz(0.2008) q[2];\nrz(0.1506) q[3];\nrz(0.1506) q[4];\nrz(0.1506) q[5];\nh q[0];\nrz(0.133) q[0];\nh q[0];\nh q[1];\nrz(0.133) q[1];\nh q[1];\nh q[2];\nrz(0.133) q[2];\nh q[2];\nh q[3];\nrz(0.133) q[3];\nh q[3];\nh q[4];\nrz(0.133) q[4];\nh q[4];\nh q[5];\nrz(0.133) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0484) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0484) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0484) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0484) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0484) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0484) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0484) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0484) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0484) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0484) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0484) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0484) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0484) q[5];\ncx q[3], q[5];\nrz(0.1452) q[1];\nrz(0.1936) q[0];\nrz(0.1936) q[2];\nrz(0.1452) q[3];\nrz(0.1452) q[4];\nrz(0.1452) q[5];\nh q[0];\nrz(0.109) q[0];\nh q[0];\nh q[1];\nrz(0.109) q[1];\nh q[1];\nh q[2];\nrz(0.109) q[2];\nh q[2];\nh q[3];\nrz(0.109) q[3];\nh q[3];\nh q[4];\nrz(0.109) q[4];\nh q[4];\nh q[5];\nrz(0.109) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0584) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0584) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0584) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0584) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0584) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0584) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0584) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0584) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0584) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0584) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0584) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0584) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0584) q[5];\ncx q[3], q[5];\nrz(0.1752) q[1];\nrz(0.2336) q[0];\nrz(0.2336) q[2];\nrz(0.1752) q[3];\nrz(0.1752) q[4];\nrz(0.1752) q[5];\nh q[0];\nrz(0.1272) q[0];\nh q[0];\nh q[1];\nrz(0.1272) q[1];\nh q[1];\nh q[2];\nrz(0.1272) q[2];\nh q[2];\nh q[3];\nrz(0.1272) q[3];\nh q[3];\nh q[4];\nrz(0.1272) q[4];\nh q[4];\nh q[5];\nrz(0.1272) q[5];\nh q[5];\ncx q[1], q[0];\nrz(-0.0696) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(-0.0696) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(-0.0696) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0696) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0696) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(-0.0696) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(-0.0696) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(-0.0696) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(-0.0696) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(-0.0696) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(-0.0696) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(-0.0696) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(-0.0696) q[5];\ncx q[3], q[5];\nrz(0.2088) q[1];\nrz(0.2784) q[0];\nrz(0.2784) q[2];\nrz(0.2088) q[3];\nrz(0.2088) q[4];\nrz(0.2088) q[5];\nh q[0];\nrz(0.1376) q[0];\nh q[0];\nh q[1];\nrz(0.1376) q[1];\nh q[1];\nh q[2];\nrz(0.1376) q[2];\nh q[2];\nh q[3];\nrz(0.1376) q[3];\nh q[3];\nh q[4];\nrz(0.1376) q[4];\nh q[4];\nh q[5];\nrz(0.1376) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x0) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x0) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x0) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x0) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x0) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x0) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x0) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x0) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\nrz(x1) q[1];\nrz(x2) q[0];\nrz(x2) q[2];\nrz(x1) q[3];\nrz(x1) q[4];\nrz(x1) q[5];\nh q[0];\nrz(x3) q[0];\nh q[0];\nh q[1];\nrz(x3) q[1];\nh q[1];\nh q[2];\nrz(x3) q[2];\nh q[2];\nh q[3];\nrz(x3) q[3];\nh q[3];\nh q[4];\nrz(x3) q[4];\nh q[4];\nh q[5];\nrz(x3) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x4) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x4) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x4) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x4) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x4) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x4) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x4) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x4) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x4) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x4) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\nrz(x5) q[1];\nrz(x6) q[0];\nrz(x6) q[2];\nrz(x5) q[3];\nrz(x5) q[4];\nrz(x5) q[5];\nh q[0];\nrz(x7) q[0];\nh q[0];\nh q[1];\nrz(x7) q[1];\nh q[1];\nh q[2];\nrz(x7) q[2];\nh q[2];\nh q[3];\nrz(x7) q[3];\nh q[3];\nh q[4];\nrz(x7) q[4];\nh q[4];\nh q[5];\nrz(x7) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x8) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x8) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x8) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x8) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x8) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x8) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x8) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x8) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x8) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x8) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x8) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x8) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x8) q[5];\ncx q[3], q[5];\nrz(x9) q[1];\nrz(x10) q[0];\nrz(x10) q[2];\nrz(x9) q[3];\nrz(x9) q[4];\nrz(x9) q[5];\nh q[0];\nrz(x11) q[0];\nh q[0];\nh q[1];\nrz(x11) q[1];\nh q[1];\nh q[2];\nrz(x11) q[2];\nh q[2];\nh q[3];\nrz(x11) q[3];\nh q[3];\nh q[4];\nrz(x11) q[4];\nh q[4];\nh q[5];\nrz(x11) q[5];\nh q[5];\ncx q[1], q[0];\nrz(x12) q[0];\ncx q[1], q[0];\ncx q[1], q[2];\nrz(x12) q[2];\ncx q[1], q[2];\ncx q[0], q[2];\nrz(x12) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x12) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x12) q[3];\ncx q[2], q[3];\ncx q[1], q[4];\nrz(x12) q[4];\ncx q[1], q[4];\ncx q[0], q[4];\nrz(x12) q[4];\ncx q[0], q[4];\ncx q[2], q[4];\nrz(x12) q[4];\ncx q[2], q[4];\ncx q[3], q[4];\nrz(x12) q[4];\ncx q[3], q[4];\ncx q[1], q[5];\nrz(x12) q[5];\ncx q[1], q[5];\ncx q[0], q[5];\nrz(x12) q[5];\ncx q[0], q[5];\ncx q[2], q[5];\nrz(x12) q[5];\ncx q[2], q[5];\ncx q[3], q[5];\nrz(x12) q[5];\ncx q[3], q[5];\nrz(x13) q[1];\nrz(x14) q[0];\nrz(x14) q[2];\nrz(x13) q[3];\nrz(x13) q[4];\nrz(x13) q[5];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,"{\"circuits\": [], \"gradients\": []}"]
["b7602418da2fb1da8d0e3bf56e052253","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 6}]}","{\"states\": [852, 860], \"expectation_value\": -1.417672554865422, \"params\": [[[0.48090000000000005, 0.0892], [0.504, 0.0814], [0.09770000000000001, 0.057300000000000004], [0.5016, 0.032], [0.2926, -0.1758], [0.4002, 0.5057], [0.2883, 0.49520000000000003], [0.22870000000000001, 0.5003000000000001], [0.48310000000000003, 0.4959], [0.22, 0.08420000000000001]], [[0.4471, 0.0719], [0.5071, 0.014700000000000001], [0.0859, 0.0253], [0.506, -0.1047], [0.2878, -0.1062], [0.4932, 0.4884], [0.2929, 0.24810000000000001], [0.2884, 0.4934], [0.4439, 0.24430000000000002], [0.4781, 0.46480000000000005]], [[0.0816, 0.0877], [0.5003000000000001, 0.0757], [0.0862, -0.041600000000000005], [0.4983, 0.3436], [0.2782, 0.22590000000000002], [0.49350000000000005, 0.4937], [0.41040000000000004, 0.24910000000000002], [0.5013000000000001, 0.1903], [0.28400000000000003, 0.4475], [0.46830000000000005, 0.4897]], [[0.4913, -0.281], [0.5085000000000001, 0.2891], [0.0859, -0.18230000000000002], [0.5045000000000001, 0.4263], [0.2232, 0.5067], [0.5021, 0.39830000000000004], [0.496, 0.252], [0.4287, 0.2805], [0.4958, 0.0302], [0.3281, 0.18130000000000002]]], \"bitstrings\": [\"0010101011\", \"0010100011\"], \"total_optimization_steps\": 50, \"probabilities\": [0.06293325870605929, 0.07863603692393847], \"optimization_time\": 15.273863792419434}","0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(4) @ Z(6)) + -0.125 * (Z(5) @ Z(4) @ Z(7)) + -0.125 * (Z(4) @ Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(4) @ Z(6) @ Z(7)) + 0.25 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(9)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(1) @ Z(8) @ Z(9)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + -0.125 * Z(0) + 0.125 * Z(1) + -0.125 * Z(2) + 0.125 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + 0.125 * Z(6) + -0.125 * Z(7) + 0.0 * Z(8) + -0.25 * Z(9)",15,10,4,"{\"smallest_eigenvalues\": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], \"number_of_smallest_eigenvalues\": 11, \"first_excited_energy\": -2.25, \"smallest_bitstrings\": [\"0010101001\", \"1010001001\", \"1010000110\", \"0010100110\", \"1000011001\", \"1000010110\", \"1000010011\", \"1001010001\", \"0001110001\", \"0010100011\", \"0011100001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.4809) q[0];\nry(0.504) q[1];\nry(0.0977) q[2];\nry(0.5016) q[3];\nry(0.2926) q[4];\nry(0.4002) q[5];\nry(0.2883) q[6];\nry(0.2287) q[7];\nry(0.4831) q[8];\nry(0.22) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0892) q[0];\nry(0.0814) q[1];\nry(0.0573) q[2];\nry(0.032) q[3];\nry(-0.1758) q[4];\nry(0.5057) q[5];\nry(0.4952) q[6];\nry(0.5003) q[7];\nry(0.4959) q[8];\nry(0.0842) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.4471) q[0];\nry(0.5071) q[1];\nry(0.0859) q[2];\nry(0.506) q[3];\nry(0.2878) q[4];\nry(0.4932) q[5];\nry(0.2929) q[6];\nry(0.2884) q[7];\nry(0.4439) q[8];\nry(0.4781) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0719) q[0];\nry(0.0147) q[1];\nry(0.0253) q[2];\nry(-0.1047) q[3];\nry(-0.1062) q[4];\nry(0.4884) q[5];\nry(0.2481) q[6];\nry(0.4934) q[7];\nry(0.2443) q[8];\nry(0.4648) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.0816) q[0];\nry(0.5003) q[1];\nry(0.0862) q[2];\nry(0.4983) q[3];\nry(0.2782) q[4];\nry(0.4935) q[5];\nry(0.4104) q[6];\nry(0.5013) q[7];\nry(0.284) q[8];\nry(0.4683) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.0877) q[0];\nry(0.0757) q[1];\nry(-0.0416) q[2];\nry(0.3436) q[3];\nry(0.2259) q[4];\nry(0.4937) q[5];\nry(0.2491) q[6];\nry(0.1903) q[7];\nry(0.4475) q[8];\nry(0.4897) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.4913) q[0];\nry(0.5085) q[1];\nry(0.0859) q[2];\nry(0.5045) q[3];\nry(0.2232) q[4];\nry(0.5021) q[5];\nry(0.496) q[6];\nry(0.4287) q[7];\nry(0.4958) q[8];\nry(0.3281) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.281) q[0];\nry(0.2891) q[1];\nry(-0.1823) q[2];\nry(0.4263) q[3];\nry(0.5067) q[4];\nry(0.3983) q[5];\nry(0.252) q[6];\nry(0.2805) q[7];\nry(0.0302) q[8];\nry(0.1813) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x17) q[7];\nry(x18) q[8];\nry(x19) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x30) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x38) q[8];\nry(x39) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x40) q[0];\nry(x17) q[1];\nry(x41) q[2];\nry(x42) q[3];\nry(x43) q[4];\nry(x44) q[5];\nry(x45) q[6];\nry(x46) q[7];\nry(x47) q[8];\nry(x48) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x49) q[0];\nry(x50) q[1];\nry(x51) q[2];\nry(x52) q[3];\nry(x53) q[4];\nry(x54) q[5];\nry(x55) q[6];\nry(x56) q[7];\nry(x57) q[8];\nry(x58) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x59) q[0];\nry(x60) q[1];\nry(x22) q[2];\nry(x61) q[3];\nry(x62) q[4];\nry(x63) q[5];\nry(x64) q[6];\nry(x65) q[7];\nry(x66) q[8];\nry(x67) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x68) q[0];\nry(x69) q[1];\nry(x70) q[2];\nry(x71) q[3];\nry(x72) q[4];\nry(x73) q[5];\nry(x74) q[6];\nry(x75) q[7];\nry(x76) q[8];\nry(x77) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["9b58e32b519a855baf8fae50f608e54a","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 0, \"id\": 3}, {\"bipartite\": 0, \"id\": 4}, {\"bipartite\": 0, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}, {\"bipartite\": 1, \"id\": 8}, {\"bipartite\": 1, \"id\": 9}, {\"bipartite\": 1, \"id\": 10}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 6}, {\"weight\": 11, \"source\": 0, \"target\": 9}, {\"weight\": 4, \"source\": 1, \"target\": 7}, {\"weight\": 19, \"source\": 1, \"target\": 10}, {\"weight\": 4, \"source\": 2, \"target\": 8}, {\"weight\": 17, \"source\": 2, \"target\": 7}, {\"weight\": 15, \"source\": 2, \"target\": 6}, {\"weight\": 6, \"source\": 3, \"target\": 9}, {\"weight\": 19, \"source\": 3, \"target\": 7}, {\"weight\": 10, \"source\": 4, \"target\": 10}]}","{\"states\": [948, 436], \"expectation_value\": -86.53515449838045, \"params\": [[[0.8140000000000001, 0.07100000000000001], [0.4928, 0.0959], [0.9734, 0.2419], [0.22160000000000002, 0.20320000000000002], [0.31870000000000004, 0.249], [0.9689000000000001, 0.5009], [0.0519, 0.4384], [0.6774, 0.7611], [0.1531, 0.5545], [-0.051800000000000006, 0.013300000000000001]], [[0.2071, -0.0027], [0.8866, -0.0103], [0.7305, -0.022600000000000002], [-0.125, 0.010100000000000001], [0.9286000000000001, -0.1632], [0.9232, 0.07060000000000001], [0.2126, 0.1553], [0.3664, 0.3618], [0.10700000000000001, 0.7441], [0.3053, 0.019]], [[-0.0502, -0.0034000000000000002], [0.8986000000000001, -0.0047], [0.7166, -0.0085], [-0.044700000000000004, 0.0115], [0.9758, 0.0409], [0.6443, -0.0449], [-0.0584, 0.049800000000000004], [0.8609, 0.1938], [-0.2099, 0.2776], [0.3689, 0.5223]], [[0.2094, -0.0027], [0.8837, 0.00030000000000000003], [0.7106, -0.003], [-0.07300000000000001, 0.0022], [0.9788, -0.0002], [0.5547000000000001, 0.0179], [-0.24930000000000002, 0.1439], [0.7698, 0.20040000000000002], [0.8071, 0.19920000000000002], [0.0016, 0.7539]]], \"bitstrings\": [\"0001001011\", \"1001001011\"], \"total_optimization_steps\": 100, \"probabilities\": [0.32300368162136095, 0.50689725609807], \"optimization_time\": 75.0831880569458}","6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(9) @ Z(2)) + 5.0 * Z(0) + 5.5 * Z(1) + 9.5 * Z(2) + 8.0 * Z(3) + 13.5 * Z(4) + 20.5 * Z(5) + 2.0 * Z(6) + 15.5 * Z(7) + 3.0 * Z(8) + -1.0 * Z(9)",15,10,4,"{\"smallest_eigenvalues\": [-95.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -81.5, \"smallest_bitstrings\": [\"1001001011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(0.814) q[0];\nry(0.4928) q[1];\nry(0.9734) q[2];\nry(0.2216) q[3];\nry(0.3187) q[4];\nry(0.9689) q[5];\nry(0.0519) q[6];\nry(0.6774) q[7];\nry(0.1531) q[8];\nry(-0.0518) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(0.071) q[0];\nry(0.0959) q[1];\nry(0.2419) q[2];\nry(0.2032) q[3];\nry(0.249) q[4];\nry(0.5009) q[5];\nry(0.4384) q[6];\nry(0.7611) q[7];\nry(0.5545) q[8];\nry(0.0133) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.2071) q[0];\nry(0.8866) q[1];\nry(0.7305) q[2];\nry(-0.125) q[3];\nry(0.9286) q[4];\nry(0.9232) q[5];\nry(0.2126) q[6];\nry(0.3664) q[7];\nry(0.107) q[8];\nry(0.3053) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0027) q[0];\nry(-0.0103) q[1];\nry(-0.0226) q[2];\nry(0.0101) q[3];\nry(-0.1632) q[4];\nry(0.0706) q[5];\nry(0.1553) q[6];\nry(0.3618) q[7];\nry(0.7441) q[8];\nry(0.019) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(-0.0502) q[0];\nry(0.8986) q[1];\nry(0.7166) q[2];\nry(-0.0447) q[3];\nry(0.9758) q[4];\nry(0.6443) q[5];\nry(-0.0584) q[6];\nry(0.8609) q[7];\nry(-0.2099) q[8];\nry(0.3689) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0034) q[0];\nry(-0.0047) q[1];\nry(-0.0085) q[2];\nry(0.0115) q[3];\nry(0.0409) q[4];\nry(-0.0449) q[5];\nry(0.0498) q[6];\nry(0.1938) q[7];\nry(0.2776) q[8];\nry(0.5223) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(0.2094) q[0];\nry(0.8837) q[1];\nry(0.7106) q[2];\nry(-0.073) q[3];\nry(0.9788) q[4];\nry(0.5547) q[5];\nry(-0.2493) q[6];\nry(0.7698) q[7];\nry(0.8071) q[8];\nry(0.0016) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0027) q[0];\nry(0.0003) q[1];\nry(-0.003) q[2];\nry(0.0022) q[3];\nry(-0.0002) q[4];\nry(0.0179) q[5];\nry(0.1439) q[6];\nry(0.2004) q[7];\nry(0.1992) q[8];\nry(0.7539) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x10) q[0];\nry(x11) q[1];\nry(x12) q[2];\nry(x13) q[3];\nry(x14) q[4];\nry(x15) q[5];\nry(x16) q[6];\nry(x17) q[7];\nry(x18) q[8];\nry(x19) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x30) q[0];\nry(x31) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x34) q[4];\nry(x35) q[5];\nry(x36) q[6];\nry(x37) q[7];\nry(x38) q[8];\nry(x39) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x40) q[0];\nry(x41) q[1];\nry(x42) q[2];\nry(x43) q[3];\nry(x44) q[4];\nry(x45) q[5];\nry(x46) q[6];\nry(x47) q[7];\nry(x48) q[8];\nry(x49) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x50) q[0];\nry(x51) q[1];\nry(x52) q[2];\nry(x53) q[3];\nry(x54) q[4];\nry(x55) q[5];\nry(x56) q[6];\nry(x57) q[7];\nry(x58) q[8];\nry(x59) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nry(x60) q[0];\nry(x61) q[1];\nry(x62) q[2];\nry(x63) q[3];\nry(x64) q[4];\nry(x65) q[5];\nry(x66) q[6];\nry(x67) q[7];\nry(x68) q[8];\nry(x69) q[9];\ncx q[9], q[0];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x30) q[0];\nry(x70) q[1];\nry(x71) q[2];\nry(x72) q[3];\nry(x73) q[4];\nry(x74) q[5];\nry(x75) q[6];\nry(x76) q[7];\nry(x77) q[8];\nry(x78) q[9];\ncx q[9], q[8];\ncx q[0], q[9];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2, 3, 4, 5], \\\"right_nodes\\\": [6, 7, 8, 9, 10]}\"}","{\"circuits\": [], \"gradients\": []}"]
["-5458566820362682141","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"hyperedges\": [[0, 3, 4, 5, 6, 8], [1, 2, 6, 7], [1, 2, 4, 6, 9], [8, 2, 5], [0, 4, 5, 6, 7], [1, 5, 9, 7], [1, 2, 4, 7, 9], [9, 2, 3, 4], [0, 1, 2, 4, 7], [8, 2, 6], [0, 1, 3, 6], [9, 4, 5, 6], [2, 3, 5, 7], [1, 2, 3, 4, 7, 8]]}","{\"states\": [440, 504], \"expectation_value\": -0.8901831581275829, \"params\": [[-0.18460000000000001], [0.1789]], \"bitstrings\": [\"1001000111\", \"1000000111\"], \"total_optimization_steps\": 20, \"probabilities\": [0.0015961095402218638, 0.0016269588701735207], \"optimization_time\": 5.396683692932129}","0.11666666666666667 * (Z(0) @ Z(3)) + 0.15 * (Z(4) @ Z(3)) + 0.13333333333333336 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.08333333333333334 * (Z(5) @ Z(0)) + 0.16666666666666669 * (Z(5) @ Z(4)) + 0.11666666666666667 * (Z(6) @ Z(3)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.16666666666666669 * (Z(6) @ Z(5)) + 0.06666666666666667 * (Z(8) @ Z(3)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.06666666666666667 * (Z(8) @ Z(4)) + 0.19999999999999998 * (Z(8) @ Z(5)) + 0.19999999999999998 * (Z(8) @ Z(6)) + 0.11666666666666667 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(1) @ Z(0)) + 0.18333333333333335 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.21666666666666667 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(1) @ Z(8)) + 0.19999999999999998 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(0)) + 0.26666666666666666 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(5)) + 0.3 * (Z(2) @ Z(6)) + 0.36666666666666664 * (Z(2) @ Z(8)) + 0.26666666666666666 * (Z(2) @ Z(1)) + 0.11666666666666667 * (Z(7) @ Z(3)) + 0.1 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(6)) + 0.03333333333333333 * (Z(7) @ Z(8)) + 0.3 * (Z(7) @ Z(1)) + 0.3 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.26666666666666666 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.13333333333333333 * (Z(9) @ Z(6)) + 0.18333333333333335 * (Z(9) @ Z(1)) + 0.18333333333333335 * (Z(9) @ Z(2)) + 0.13333333333333333 * (Z(9) @ Z(7)) + 0.5416666666666666 * Z(3) + 0.4083333333333333 * Z(0) + 0.8166666666666667 * Z(4) + 0.7250000000000004 * Z(5) + 0.8250000000000002 * Z(6) + 0.49999999999999994 * Z(8) + 0.7583333333333335 * Z(1) + 1.091666666666667 * Z(2) + 0.7583333333333333 * Z(7) + 0.575 * Z(9)",1,10,1,"{\"smallest_eigenvalues\": [-3.283333333333335], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -3.2166666666666677, \"smallest_bitstrings\": [\"1000000111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[0];\nrz(-0.0431) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(-0.0554) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(-0.0492) q[4];\ncx q[0], q[4];\ncx q[3], q[5];\nrz(-0.0431) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(-0.0308) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(-0.0615) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(-0.0431) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(-0.0615) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(-0.08) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(-0.0615) q[6];\ncx q[5], q[6];\ncx q[3], q[8];\nrz(-0.0246) q[8];\ncx q[3], q[8];\ncx q[0], q[8];\nrz(-0.0123) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(-0.0246) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(-0.0738) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(-0.0738) q[8];\ncx q[6], q[8];\ncx q[3], q[1];\nrz(-0.0431) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(-0.0492) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(-0.0677) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(-0.0308) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(-0.08) q[1];\ncx q[6], q[1];\ncx q[8], q[1];\nrz(-0.0123) q[1];\ncx q[8], q[1];\ncx q[3], q[2];\nrz(-0.0738) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(-0.0185) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(-0.0985) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(-0.0923) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(-0.1108) q[2];\ncx q[6], q[2];\ncx q[8], q[2];\nrz(-0.1354) q[2];\ncx q[8], q[2];\ncx q[1], q[2];\nrz(-0.0985) q[2];\ncx q[1], q[2];\ncx q[3], q[7];\nrz(-0.0431) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(-0.0369) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(-0.0677) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(-0.08) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(-0.0492) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(-0.0123) q[7];\ncx q[8], q[7];\ncx q[1], q[7];\nrz(-0.1108) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(-0.1108) q[7];\ncx q[2], q[7];\ncx q[3], q[9];\nrz(-0.0308) q[9];\ncx q[3], q[9];\ncx q[4], q[9];\nrz(-0.0985) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(-0.0615) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(-0.0492) q[9];\ncx q[6], q[9];\ncx q[1], q[9];\nrz(-0.0677) q[9];\ncx q[1], q[9];\ncx q[2], q[9];\nrz(-0.0677) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(-0.0492) q[9];\ncx q[7], q[9];\nrz(-0.2) q[3];\nrz(-0.1508) q[0];\nrz(-0.3015) q[4];\nrz(-0.2677) q[5];\nrz(-0.3046) q[6];\nrz(-0.1846) q[8];\nrz(-0.28) q[1];\nrz(-0.403) q[2];\nrz(-0.28) q[7];\nrz(-0.2123) q[9];\nh q[0];\nrz(0.3578) q[0];\nh q[0];\nh q[1];\nrz(0.3578) q[1];\nh q[1];\nh q[2];\nrz(0.3578) q[2];\nh q[2];\nh q[3];\nrz(0.3578) q[3];\nh q[3];\nh q[4];\nrz(0.3578) q[4];\nh q[4];\nh q[5];\nrz(0.3578) q[5];\nh q[5];\nh q[6];\nrz(0.3578) q[6];\nh q[6];\nh q[7];\nrz(0.3578) q[7];\nh q[7];\nh q[8];\nrz(0.3578) q[8];\nh q[8];\nh q[9];\nrz(0.3578) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncx q[3], q[0];\nrz(x0) q[0];\ncx q[3], q[0];\ncx q[3], q[4];\nrz(x1) q[4];\ncx q[3], q[4];\ncx q[0], q[4];\nrz(x2) q[4];\ncx q[0], q[4];\ncx q[3], q[5];\nrz(x0) q[5];\ncx q[3], q[5];\ncx q[0], q[5];\nrz(x3) q[5];\ncx q[0], q[5];\ncx q[4], q[5];\nrz(x4) q[5];\ncx q[4], q[5];\ncx q[3], q[6];\nrz(x0) q[6];\ncx q[3], q[6];\ncx q[0], q[6];\nrz(x4) q[6];\ncx q[0], q[6];\ncx q[4], q[6];\nrz(x5) q[6];\ncx q[4], q[6];\ncx q[5], q[6];\nrz(x4) q[6];\ncx q[5], q[6];\ncx q[3], q[8];\nrz(x6) q[8];\ncx q[3], q[8];\ncx q[0], q[8];\nrz(x7) q[8];\ncx q[0], q[8];\ncx q[4], q[8];\nrz(x6) q[8];\ncx q[4], q[8];\ncx q[5], q[8];\nrz(x8) q[8];\ncx q[5], q[8];\ncx q[6], q[8];\nrz(x8) q[8];\ncx q[6], q[8];\ncx q[3], q[1];\nrz(x0) q[1];\ncx q[3], q[1];\ncx q[0], q[1];\nrz(x2) q[1];\ncx q[0], q[1];\ncx q[4], q[1];\nrz(x9) q[1];\ncx q[4], q[1];\ncx q[5], q[1];\nrz(x3) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x5) q[1];\ncx q[6], q[1];\ncx q[8], q[1];\nrz(x7) q[1];\ncx q[8], q[1];\ncx q[3], q[2];\nrz(x8) q[2];\ncx q[3], q[2];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[4], q[2];\nrz(x11) q[2];\ncx q[4], q[2];\ncx q[5], q[2];\nrz(x12) q[2];\ncx q[5], q[2];\ncx q[6], q[2];\nrz(x13) q[2];\ncx q[6], q[2];\ncx q[8], q[2];\nrz(x14) q[2];\ncx q[8], q[2];\ncx q[1], q[2];\nrz(x11) q[2];\ncx q[1], q[2];\ncx q[3], q[7];\nrz(x0) q[7];\ncx q[3], q[7];\ncx q[0], q[7];\nrz(x15) q[7];\ncx q[0], q[7];\ncx q[4], q[7];\nrz(x9) q[7];\ncx q[4], q[7];\ncx q[5], q[7];\nrz(x5) q[7];\ncx q[5], q[7];\ncx q[6], q[7];\nrz(x2) q[7];\ncx q[6], q[7];\ncx q[8], q[7];\nrz(x7) q[7];\ncx q[8], q[7];\ncx q[1], q[7];\nrz(x13) q[7];\ncx q[1], q[7];\ncx q[2], q[7];\nrz(x13) q[7];\ncx q[2], q[7];\ncx q[3], q[9];\nrz(x3) q[9];\ncx q[3], q[9];\ncx q[4], q[9];\nrz(x11) q[9];\ncx q[4], q[9];\ncx q[5], q[9];\nrz(x4) q[9];\ncx q[5], q[9];\ncx q[6], q[9];\nrz(x2) q[9];\ncx q[6], q[9];\ncx q[1], q[9];\nrz(x9) q[9];\ncx q[1], q[9];\ncx q[2], q[9];\nrz(x9) q[9];\ncx q[2], q[9];\ncx q[7], q[9];\nrz(x2) q[9];\ncx q[7], q[9];\nrz(x16) q[3];\nrz(x17) q[0];\nrz(x18) q[4];\nrz(x19) q[5];\nrz(x20) q[6];\nrz(x21) q[8];\nrz(x22) q[1];\nrz(x23) q[2];\nrz(x22) q[7];\nrz(x24) q[9];\nh q[0];\nrz(x25) q[0];\nh q[0];\nh q[1];\nrz(x25) q[1];\nh q[1];\nh q[2];\nrz(x25) q[2];\nh q[2];\nh q[3];\nrz(x25) q[3];\nh q[3];\nh q[4];\nrz(x25) q[4];\nh q[4];\nh q[5];\nrz(x25) q[5];\nh q[5];\nh q[6];\nrz(x25) q[6];\nh q[6];\nh q[7];\nrz(x25) q[7];\nh q[7];\nh q[8];\nrz(x25) q[8];\nh q[8];\nh q[9];\nrz(x25) q[9];\nh q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["6512650cf6e89a13be11a148f896da5d","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 6}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 6}]}","{\"states\": [254, 238], \"expectation_value\": -2.141117343959153, \"params\": [-0.0004, -0.0035, 0.29400000000000004, 0.2908, 0.49610000000000004, 0.4979, 0.5037, 0.5023, 0.4993, 0.5064000000000001, 0.2902, 0.29000000000000004, 0.499, 0.5065000000000001, 0.5068, 0.4998, 0.5047, 0.5011, -0.0064, -0.0017000000000000001, -0.0014, -0.0044, 0.29510000000000003, 0.2904, 0.4985, 0.5021, 0.5009, 0.4932, 0.504, 0.5017, 0.29710000000000003, 0.2942, 0.5009, 0.4973, 0.5025000000000001, 0.4975, 0.49920000000000003, 0.5078, 0.0063, -0.0035, -0.2109, 0.1383, 0.28950000000000004, -0.2379, 0.48750000000000004, 0.3441, 0.045000000000000005, 0.4879, 0.1537, 0.16740000000000002, 0.0854, 0.3219, 0.045700000000000005, 0.2321, 0.2661, 0.2122, 0.4899, 0.3689, -0.0054, 0.4953, -0.11960000000000001, 0.34500000000000003, 0.2917, 0.19690000000000002, 0.4606, 0.21150000000000002, 0.2359, 0.452, 0.4823, 0.2609, 0.2722, 0.4832, 0.257, 0.2649, 0.48260000000000003, 0.4818, 0.4879, 0.4902, 0.0036000000000000003, 0.45320000000000005], \"bitstrings\": [\"1100000001\", \"1100010001\"], \"total_optimization_steps\": 50, \"probabilities\": [0.06367959644773767, 0.07931749677770919], \"optimization_time\": 13.9894859790802}","0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1) @ Z(6)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(0) @ Z(2) @ Z(7)) + -0.125 * (Z(0) @ Z(2) @ Z(8)) + -0.125 * (Z(0) @ Z(7) @ Z(8)) + -0.125 * (Z(2) @ Z(7) @ Z(8)) + 0.125 * (Z(0) @ Z(2) @ Z(7) @ Z(8)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(7) @ Z(3)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(4) @ Z(9)) + 0.125 * (Z(6) @ Z(8)) + 0.125 * (Z(6) @ Z(9)) + 0.125 * (Z(9) @ Z(8)) + -0.125 * (Z(4) @ Z(6) @ Z(8)) + -0.125 * (Z(4) @ Z(6) @ Z(9)) + -0.125 * (Z(4) @ Z(9) @ Z(8)) + -0.125 * (Z(6) @ Z(9) @ Z(8)) + 0.125 * (Z(4) @ Z(6) @ Z(9) @ Z(8)) + -0.625 * Z(0) + 0.125 * Z(1) + 0.25 * Z(2) + 0.125 * Z(3) + 0.25 * Z(4) + 0.0 * Z(5) + 0.125 * Z(6) + 0.125 * Z(7) + 0.25 * Z(8) + -0.625 * Z(9)",14,10,2,"{\"smallest_eigenvalues\": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], \"number_of_smallest_eigenvalues\": 7, \"first_excited_energy\": -2.875, \"smallest_bitstrings\": [\"1100010001\", \"1100000101\", \"1101000001\", \"1000110001\", \"1010010001\", \"1001001001\", \"1001010001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(-0.0004) q[0];\nry(0.294) q[1];\nry(0.4961) q[2];\nry(0.5037) q[3];\nry(0.4993) q[4];\nry(0.2902) q[5];\nry(0.499) q[6];\nry(0.5068) q[7];\nry(0.5047) q[8];\nry(-0.0064) q[9];\ncrx(-0.2109) q[9], q[0];\ncrx(-0.0054) q[8], q[9];\ncrx(0.4899) q[7], q[8];\ncrx(0.2661) q[6], q[7];\ncrx(0.0457) q[5], q[6];\ncrx(0.0854) q[4], q[5];\ncrx(0.1537) q[3], q[4];\ncrx(0.045) q[2], q[3];\ncrx(0.4875) q[1], q[2];\ncrx(0.2895) q[0], q[1];\nry(-0.0035) q[0];\nry(0.2908) q[1];\nry(0.4979) q[2];\nry(0.5023) q[3];\nry(0.5064) q[4];\nry(0.29) q[5];\nry(0.5065) q[6];\nry(0.4998) q[7];\nry(0.5011) q[8];\nry(-0.0017) q[9];\ncrx(0.1383) q[9], q[8];\ncrx(-0.2379) q[0], q[9];\ncrx(0.3441) q[0], q[1];\ncrx(0.4879) q[1], q[2];\ncrx(0.1674) q[2], q[3];\ncrx(0.3219) q[3], q[4];\ncrx(0.2321) q[4], q[5];\ncrx(0.2122) q[5], q[6];\ncrx(0.3689) q[6], q[7];\ncrx(0.4953) q[7], q[8];\nry(-0.0014) q[0];\nry(0.2951) q[1];\nry(0.4985) q[2];\nry(0.5009) q[3];\nry(0.504) q[4];\nry(0.2971) q[5];\nry(0.5009) q[6];\nry(0.5025) q[7];\nry(0.4992) q[8];\nry(0.0063) q[9];\ncrx(-0.1196) q[9], q[0];\ncrx(0.0036) q[8], q[9];\ncrx(0.4879) q[7], q[8];\ncrx(0.4826) q[6], q[7];\ncrx(0.257) q[5], q[6];\ncrx(0.2722) q[4], q[5];\ncrx(0.4823) q[3], q[4];\ncrx(0.2359) q[2], q[3];\ncrx(0.4606) q[1], q[2];\ncrx(0.2917) q[0], q[1];\nry(-0.0044) q[0];\nry(0.2904) q[1];\nry(0.5021) q[2];\nry(0.4932) q[3];\nry(0.5017) q[4];\nry(0.2942) q[5];\nry(0.4973) q[6];\nry(0.4975) q[7];\nry(0.5078) q[8];\nry(-0.0035) q[9];\ncrx(0.345) q[9], q[8];\ncrx(0.1969) q[0], q[9];\ncrx(0.2115) q[0], q[1];\ncrx(0.452) q[1], q[2];\ncrx(0.2609) q[2], q[3];\ncrx(0.4832) q[3], q[4];\ncrx(0.2649) q[4], q[5];\ncrx(0.4818) q[5], q[6];\ncrx(0.4902) q[6], q[7];\ncrx(0.4532) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncrx(x10) q[9], q[0];\ncrx(x11) q[8], q[9];\ncrx(x12) q[7], q[8];\ncrx(x13) q[6], q[7];\ncrx(x14) q[5], q[6];\ncrx(x15) q[4], q[5];\ncrx(x16) q[3], q[4];\ncrx(x17) q[2], q[3];\ncrx(x18) q[1], q[2];\ncrx(x19) q[0], q[1];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\ncrx(x30) q[9], q[8];\ncrx(x31) q[0], q[9];\ncrx(x32) q[0], q[1];\ncrx(x33) q[1], q[2];\ncrx(x34) q[2], q[3];\ncrx(x35) q[3], q[4];\ncrx(x36) q[4], q[5];\ncrx(x37) q[5], q[6];\ncrx(x38) q[6], q[7];\ncrx(x39) q[7], q[8];\nry(x40) q[0];\nry(x41) q[1];\nry(x42) q[2];\nry(x43) q[3];\nry(x44) q[4];\nry(x45) q[5];\nry(x43) q[6];\nry(x46) q[7];\nry(x47) q[8];\nry(x48) q[9];\ncrx(x49) q[9], q[0];\ncrx(x50) q[8], q[9];\ncrx(x33) q[7], q[8];\ncrx(x51) q[6], q[7];\ncrx(x52) q[5], q[6];\ncrx(x53) q[4], q[5];\ncrx(x54) q[3], q[4];\ncrx(x55) q[2], q[3];\ncrx(x56) q[1], q[2];\ncrx(x57) q[0], q[1];\nry(x58) q[0];\nry(x59) q[1];\nry(x60) q[2];\nry(x61) q[3];\nry(x62) q[4];\nry(x63) q[5];\nry(x64) q[6];\nry(x65) q[7];\nry(x66) q[8];\nry(x20) q[9];\ncrx(x67) q[9], q[8];\ncrx(x68) q[0], q[9];\ncrx(x69) q[0], q[1];\ncrx(x70) q[1], q[2];\ncrx(x71) q[2], q[3];\ncrx(x72) q[3], q[4];\ncrx(x73) q[4], q[5];\ncrx(x74) q[5], q[6];\ncrx(x75) q[6], q[7];\ncrx(x76) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["c513b3f9e92fab9360fc637fed72bb83","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 1}, {\"capacity\": 2, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 0, \"target\": 9}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 5}, {\"capacity\": 2, \"source\": 1, \"target\": 6}, {\"capacity\": 2, \"source\": 2, \"target\": 3}, {\"capacity\": 1, \"source\": 2, \"target\": 9}, {\"capacity\": 2, \"source\": 3, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 7}, {\"capacity\": 2, \"source\": 4, \"target\": 5}, {\"capacity\": 1, \"source\": 4, \"target\": 6}, {\"capacity\": 1, \"source\": 5, \"target\": 1}, {\"capacity\": 1, \"source\": 5, \"target\": 2}, {\"capacity\": 1, \"source\": 5, \"target\": 3}, {\"capacity\": 1, \"source\": 5, \"target\": 8}, {\"capacity\": 1, \"source\": 6, \"target\": 3}, {\"capacity\": 1, \"source\": 6, \"target\": 8}, {\"capacity\": 2, \"source\": 7, \"target\": 1}, {\"capacity\": 1, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 5}, {\"capacity\": 1, \"source\": 7, \"target\": 6}, {\"capacity\": 1, \"source\": 8, \"target\": 2}]}","{\"states\": [0, 1], \"expectation_value\": -8.344607217718494, \"params\": [0.00030000000000000003, -0.2141, 0.005200000000000001, -0.2792, 0.0031000000000000003, -0.2336, 0.0006000000000000001, -0.281, 0.0039000000000000003, -0.24180000000000001, 0.0024000000000000002, -0.24630000000000002, -0.0002, -0.28450000000000003, 0.007200000000000001, -0.2805, 0.0026000000000000003, -0.2854, 0.0031000000000000003, -0.2899, 0.0031000000000000003, -0.2132, -0.0007, -0.2874, 0.0051, -0.139, 0.0005, -0.22510000000000002, 0.003, -0.28600000000000003, 0.0011, -0.2923, 0.0039000000000000003, -0.2826, 0.001, -0.27990000000000004, 0.4026, 0.0505, 0.4078, -0.0011, -0.0019, -0.23570000000000002, 0.0027, 0.0025, 0.0031000000000000003, -0.26080000000000003, 0.0025, 0.0034000000000000002, 0.0012000000000000001, -0.27340000000000003, 0.004200000000000001, 0.0091, 0.003, -0.24600000000000002, 0.0001, 0.0082, 0.0007, -0.28400000000000003, 0.0032, 0.0008, 0.005200000000000001, -0.2207, 0.0016, 0.0067, 0.0016, -0.26830000000000004, 0.0047, 0.0004, 0.0036000000000000003, -0.2872, 0.0023, 0.0016, -0.0, -0.2429, 0.0043, 0.004200000000000001, 0.40590000000000004, 0.0516, 0.4022, 0.0001, 0.020300000000000002, 0.020200000000000003, 0.0173, 0.0057, 0.0111, 0.0165, 0.016900000000000002, 0.0114, 0.0053, 0.2936, 0.0172, 0.0129, 0.015000000000000001, 0.0154, 0.017, 0.0154, 0.0074, 0.0159, 0.011000000000000001, 0.2847], \"bitstrings\": [\"1111111111\", \"1111111110\"], \"total_optimization_steps\": 40, \"probabilities\": [0.4761046307393724, 0.5237126811679308], \"optimization_time\": 56.46608567237854}","-0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(7) + 1.0 * Z(9) + 0.0 * Z(2) + -0.25 * Z(5) + -0.5 * Z(6) + -0.25 * Z(3) + 0.0 * Z(4) + -0.25 * Z(8)",5,10,2,"{\"smallest_eigenvalues\": [-10.25], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.25, \"smallest_bitstrings\": [\"1111111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nrx(0.0003) q[0];\nrz(-0.2141) q[0];\nrx(0.0031) q[1];\nrz(-0.2336) q[1];\nrx(0.0039) q[2];\nrz(-0.2418) q[2];\nrx(-0.0002) q[3];\nrz(-0.2845) q[3];\nrx(0.0026) q[4];\nrz(-0.2854) q[4];\nrx(0.0031) q[5];\nrz(-0.2132) q[5];\nrx(0.0051) q[6];\nrz(-0.139) q[6];\nrx(0.003) q[7];\nrz(-0.286) q[7];\nrx(0.0039) q[8];\nrz(-0.2826) q[8];\nrx(0.4026) q[9];\nrz(0.0505) q[9];\ncrz(0.0053) q[9], q[8];\ncrz(0.0114) q[9], q[7];\ncrz(0.0169) q[9], q[6];\ncrz(0.0165) q[9], q[5];\ncrz(0.0111) q[9], q[4];\ncrz(0.0057) q[9], q[3];\ncrz(0.0173) q[9], q[2];\ncrz(0.0202) q[9], q[1];\ncrz(0.0203) q[9], q[0];\ncrz(0.2936) q[8], q[9];\ncrz(0.0114) q[8], q[7];\ncrz(0.0169) q[8], q[6];\ncrz(0.0165) q[8], q[5];\ncrz(0.0111) q[8], q[4];\ncrz(0.0057) q[8], q[3];\ncrz(0.0173) q[8], q[2];\ncrz(0.0202) q[8], q[1];\ncrz(0.0203) q[8], q[0];\ncrz(0.2936) q[7], q[9];\ncrz(0.0053) q[7], q[8];\ncrz(0.0169) q[7], q[6];\ncrz(0.0165) q[7], q[5];\ncrz(0.0111) q[7], q[4];\ncrz(0.0057) q[7], q[3];\ncrz(0.0173) q[7], q[2];\ncrz(0.0202) q[7], q[1];\ncrz(0.0203) q[7], q[0];\ncrz(0.2936) q[6], q[9];\ncrz(0.0053) q[6], q[8];\ncrz(0.0114) q[6], q[7];\ncrz(0.0165) q[6], q[5];\ncrz(0.0111) q[6], q[4];\ncrz(0.0057) q[6], q[3];\ncrz(0.0173) q[6], q[2];\ncrz(0.0202) q[6], q[1];\ncrz(0.0203) q[6], q[0];\ncrz(0.2936) q[5], q[9];\ncrz(0.0053) q[5], q[8];\ncrz(0.0114) q[5], q[7];\ncrz(0.0169) q[5], q[6];\ncrz(0.0111) q[5], q[4];\ncrz(0.0057) q[5], q[3];\ncrz(0.0173) q[5], q[2];\ncrz(0.0202) q[5], q[1];\ncrz(0.0203) q[5], q[0];\ncrz(0.2936) q[4], q[9];\ncrz(0.0053) q[4], q[8];\ncrz(0.0114) q[4], q[7];\ncrz(0.0169) q[4], q[6];\ncrz(0.0165) q[4], q[5];\ncrz(0.0057) q[4], q[3];\ncrz(0.0173) q[4], q[2];\ncrz(0.0202) q[4], q[1];\ncrz(0.0203) q[4], q[0];\ncrz(0.2936) q[3], q[9];\ncrz(0.0053) q[3], q[8];\ncrz(0.0114) q[3], q[7];\ncrz(0.0169) q[3], q[6];\ncrz(0.0165) q[3], q[5];\ncrz(0.0111) q[3], q[4];\ncrz(0.0173) q[3], q[2];\ncrz(0.0202) q[3], q[1];\ncrz(0.0203) q[3], q[0];\ncrz(0.2936) q[2], q[9];\ncrz(0.0053) q[2], q[8];\ncrz(0.0114) q[2], q[7];\ncrz(0.0169) q[2], q[6];\ncrz(0.0165) q[2], q[5];\ncrz(0.0111) q[2], q[4];\ncrz(0.0057) q[2], q[3];\ncrz(0.0202) q[2], q[1];\ncrz(0.0203) q[2], q[0];\ncrz(0.2936) q[1], q[9];\ncrz(0.0053) q[1], q[8];\ncrz(0.0114) q[1], q[7];\ncrz(0.0169) q[1], q[6];\ncrz(0.0165) q[1], q[5];\ncrz(0.0111) q[1], q[4];\ncrz(0.0057) q[1], q[3];\ncrz(0.0173) q[1], q[2];\ncrz(0.0203) q[1], q[0];\ncrz(0.2936) q[0], q[9];\ncrz(0.0053) q[0], q[8];\ncrz(0.0114) q[0], q[7];\ncrz(0.0169) q[0], q[6];\ncrz(0.0165) q[0], q[5];\ncrz(0.0111) q[0], q[4];\ncrz(0.0057) q[0], q[3];\ncrz(0.0173) q[0], q[2];\ncrz(0.0202) q[0], q[1];\nrx(0.0052) q[0];\nrz(-0.2792) q[0];\nrx(0.0006) q[1];\nrz(-0.281) q[1];\nrx(0.0024) q[2];\nrz(-0.2463) q[2];\nrx(0.0072) q[3];\nrz(-0.2805) q[3];\nrx(0.0031) q[4];\nrz(-0.2899) q[4];\nrx(-0.0007) q[5];\nrz(-0.2874) q[5];\nrx(0.0005) q[6];\nrz(-0.2251) q[6];\nrx(0.0011) q[7];\nrz(-0.2923) q[7];\nrx(0.001) q[8];\nrz(-0.2799) q[8];\nrx(0.4078) q[9];\nrz(-0.0011) q[9];\nrx(-0.0019) q[0];\nrz(-0.2357) q[0];\nrx(0.0031) q[1];\nrz(-0.2608) q[1];\nrx(0.0012) q[2];\nrz(-0.2734) q[2];\nrx(0.003) q[3];\nrz(-0.246) q[3];\nrx(0.0007) q[4];\nrz(-0.284) q[4];\nrx(0.0052) q[5];\nrz(-0.2207) q[5];\nrx(0.0016) q[6];\nrz(-0.2683) q[6];\nrx(0.0036) q[7];\nrz(-0.2872) q[7];\nrx(0) q[8];\nrz(-0.2429) q[8];\nrx(0.4059) q[9];\nrz(0.0516) q[9];\ncrz(0.011) q[9], q[8];\ncrz(0.0159) q[9], q[7];\ncrz(0.0074) q[9], q[6];\ncrz(0.0154) q[9], q[5];\ncrz(0.017) q[9], q[4];\ncrz(0.0154) q[9], q[3];\ncrz(0.015) q[9], q[2];\ncrz(0.0129) q[9], q[1];\ncrz(0.0172) q[9], q[0];\ncrz(0.2847) q[8], q[9];\ncrz(0.0159) q[8], q[7];\ncrz(0.0074) q[8], q[6];\ncrz(0.0154) q[8], q[5];\ncrz(0.017) q[8], q[4];\ncrz(0.0154) q[8], q[3];\ncrz(0.015) q[8], q[2];\ncrz(0.0129) q[8], q[1];\ncrz(0.0172) q[8], q[0];\ncrz(0.2847) q[7], q[9];\ncrz(0.011) q[7], q[8];\ncrz(0.0074) q[7], q[6];\ncrz(0.0154) q[7], q[5];\ncrz(0.017) q[7], q[4];\ncrz(0.0154) q[7], q[3];\ncrz(0.015) q[7], q[2];\ncrz(0.0129) q[7], q[1];\ncrz(0.0172) q[7], q[0];\ncrz(0.2847) q[6], q[9];\ncrz(0.011) q[6], q[8];\ncrz(0.0159) q[6], q[7];\ncrz(0.0154) q[6], q[5];\ncrz(0.017) q[6], q[4];\ncrz(0.0154) q[6], q[3];\ncrz(0.015) q[6], q[2];\ncrz(0.0129) q[6], q[1];\ncrz(0.0172) q[6], q[0];\ncrz(0.2847) q[5], q[9];\ncrz(0.011) q[5], q[8];\ncrz(0.0159) q[5], q[7];\ncrz(0.0074) q[5], q[6];\ncrz(0.017) q[5], q[4];\ncrz(0.0154) q[5], q[3];\ncrz(0.015) q[5], q[2];\ncrz(0.0129) q[5], q[1];\ncrz(0.0172) q[5], q[0];\ncrz(0.2847) q[4], q[9];\ncrz(0.011) q[4], q[8];\ncrz(0.0159) q[4], q[7];\ncrz(0.0074) q[4], q[6];\ncrz(0.0154) q[4], q[5];\ncrz(0.0154) q[4], q[3];\ncrz(0.015) q[4], q[2];\ncrz(0.0129) q[4], q[1];\ncrz(0.0172) q[4], q[0];\ncrz(0.2847) q[3], q[9];\ncrz(0.011) q[3], q[8];\ncrz(0.0159) q[3], q[7];\ncrz(0.0074) q[3], q[6];\ncrz(0.0154) q[3], q[5];\ncrz(0.017) q[3], q[4];\ncrz(0.015) q[3], q[2];\ncrz(0.0129) q[3], q[1];\ncrz(0.0172) q[3], q[0];\ncrz(0.2847) q[2], q[9];\ncrz(0.011) q[2], q[8];\ncrz(0.0159) q[2], q[7];\ncrz(0.0074) q[2], q[6];\ncrz(0.0154) q[2], q[5];\ncrz(0.017) q[2], q[4];\ncrz(0.0154) q[2], q[3];\ncrz(0.0129) q[2], q[1];\ncrz(0.0172) q[2], q[0];\ncrz(0.2847) q[1], q[9];\ncrz(0.011) q[1], q[8];\ncrz(0.0159) q[1], q[7];\ncrz(0.0074) q[1], q[6];\ncrz(0.0154) q[1], q[5];\ncrz(0.017) q[1], q[4];\ncrz(0.0154) q[1], q[3];\ncrz(0.015) q[1], q[2];\ncrz(0.0172) q[1], q[0];\ncrz(0.2847) q[0], q[9];\ncrz(0.011) q[0], q[8];\ncrz(0.0159) q[0], q[7];\ncrz(0.0074) q[0], q[6];\ncrz(0.0154) q[0], q[5];\ncrz(0.017) q[0], q[4];\ncrz(0.0154) q[0], q[3];\ncrz(0.015) q[0], q[2];\ncrz(0.0129) q[0], q[1];\nrx(0.0027) q[0];\nrz(0.0025) q[0];\nrx(0.0025) q[1];\nrz(0.0034) q[1];\nrx(0.0042) q[2];\nrz(0.0091) q[2];\nrx(0.0001) q[3];\nrz(0.0082) q[3];\nrx(0.0032) q[4];\nrz(0.0008) q[4];\nrx(0.0016) q[5];\nrz(0.0067) q[5];\nrx(0.0047) q[6];\nrz(0.0004) q[6];\nrx(0.0023) q[7];\nrz(0.0016) q[7];\nrx(0.0043) q[8];\nrz(0.0042) q[8];\nrx(0.4022) q[9];\nrz(0.0001) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x2) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\nrx(x4) q[8];\nrz(x15) q[8];\nrx(x16) q[9];\nrz(x17) q[9];\ncrz(x18) q[9], q[8];\ncrz(x19) q[9], q[7];\ncrz(x20) q[9], q[6];\ncrz(x21) q[9], q[5];\ncrz(x22) q[9], q[4];\ncrz(x23) q[9], q[3];\ncrz(x24) q[9], q[2];\ncrz(x25) q[9], q[1];\ncrz(x26) q[9], q[0];\ncrz(x27) q[8], q[9];\ncrz(x19) q[8], q[7];\ncrz(x20) q[8], q[6];\ncrz(x21) q[8], q[5];\ncrz(x22) q[8], q[4];\ncrz(x23) q[8], q[3];\ncrz(x24) q[8], q[2];\ncrz(x25) q[8], q[1];\ncrz(x26) q[8], q[0];\ncrz(x27) q[7], q[9];\ncrz(x18) q[7], q[8];\ncrz(x20) q[7], q[6];\ncrz(x21) q[7], q[5];\ncrz(x22) q[7], q[4];\ncrz(x23) q[7], q[3];\ncrz(x24) q[7], q[2];\ncrz(x25) q[7], q[1];\ncrz(x26) q[7], q[0];\ncrz(x27) q[6], q[9];\ncrz(x18) q[6], q[8];\ncrz(x19) q[6], q[7];\ncrz(x21) q[6], q[5];\ncrz(x22) q[6], q[4];\ncrz(x23) q[6], q[3];\ncrz(x24) q[6], q[2];\ncrz(x25) q[6], q[1];\ncrz(x26) q[6], q[0];\ncrz(x27) q[5], q[9];\ncrz(x18) q[5], q[8];\ncrz(x19) q[5], q[7];\ncrz(x20) q[5], q[6];\ncrz(x22) q[5], q[4];\ncrz(x23) q[5], q[3];\ncrz(x24) q[5], q[2];\ncrz(x25) q[5], q[1];\ncrz(x26) q[5], q[0];\ncrz(x27) q[4], q[9];\ncrz(x18) q[4], q[8];\ncrz(x19) q[4], q[7];\ncrz(x20) q[4], q[6];\ncrz(x21) q[4], q[5];\ncrz(x23) q[4], q[3];\ncrz(x24) q[4], q[2];\ncrz(x25) q[4], q[1];\ncrz(x26) q[4], q[0];\ncrz(x27) q[3], q[9];\ncrz(x18) q[3], q[8];\ncrz(x19) q[3], q[7];\ncrz(x20) q[3], q[6];\ncrz(x21) q[3], q[5];\ncrz(x22) q[3], q[4];\ncrz(x24) q[3], q[2];\ncrz(x25) q[3], q[1];\ncrz(x26) q[3], q[0];\ncrz(x27) q[2], q[9];\ncrz(x18) q[2], q[8];\ncrz(x19) q[2], q[7];\ncrz(x20) q[2], q[6];\ncrz(x21) q[2], q[5];\ncrz(x22) q[2], q[4];\ncrz(x23) q[2], q[3];\ncrz(x25) q[2], q[1];\ncrz(x26) q[2], q[0];\ncrz(x27) q[1], q[9];\ncrz(x18) q[1], q[8];\ncrz(x19) q[1], q[7];\ncrz(x20) q[1], q[6];\ncrz(x21) q[1], q[5];\ncrz(x22) q[1], q[4];\ncrz(x23) q[1], q[3];\ncrz(x24) q[1], q[2];\ncrz(x26) q[1], q[0];\ncrz(x27) q[0], q[9];\ncrz(x18) q[0], q[8];\ncrz(x19) q[0], q[7];\ncrz(x20) q[0], q[6];\ncrz(x21) q[0], q[5];\ncrz(x22) q[0], q[4];\ncrz(x23) q[0], q[3];\ncrz(x24) q[0], q[2];\ncrz(x25) q[0], q[1];\nrx(x28) q[0];\nrz(x29) q[0];\nrx(x30) q[1];\nrz(x31) q[1];\nrx(x32) q[2];\nrz(x33) q[2];\nrx(x34) q[3];\nrz(x35) q[3];\nrx(x2) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\nrx(x45) q[9];\nrz(x46) q[9];\nrx(x47) q[0];\nrz(x48) q[0];\nrx(x2) q[1];\nrz(x49) q[1];\nrx(x50) q[2];\nrz(x51) q[2];\nrx(x13) q[3];\nrz(x52) q[3];\nrx(x53) q[4];\nrz(x54) q[4];\nrx(x28) q[5];\nrz(x55) q[5];\nrx(x56) q[6];\nrz(x57) q[6];\nrx(x58) q[7];\nrz(x59) q[7];\nrx(x60) q[8];\nrz(x61) q[8];\nrx(x62) q[9];\nrz(x63) q[9];\ncrz(x64) q[9], q[8];\ncrz(x65) q[9], q[7];\ncrz(x66) q[9], q[6];\ncrz(x67) q[9], q[5];\ncrz(x68) q[9], q[4];\ncrz(x67) q[9], q[3];\ncrz(x69) q[9], q[2];\ncrz(x70) q[9], q[1];\ncrz(x71) q[9], q[0];\ncrz(x72) q[8], q[9];\ncrz(x65) q[8], q[7];\ncrz(x66) q[8], q[6];\ncrz(x67) q[8], q[5];\ncrz(x68) q[8], q[4];\ncrz(x67) q[8], q[3];\ncrz(x69) q[8], q[2];\ncrz(x70) q[8], q[1];\ncrz(x71) q[8], q[0];\ncrz(x72) q[7], q[9];\ncrz(x64) q[7], q[8];\ncrz(x66) q[7], q[6];\ncrz(x67) q[7], q[5];\ncrz(x68) q[7], q[4];\ncrz(x67) q[7], q[3];\ncrz(x69) q[7], q[2];\ncrz(x70) q[7], q[1];\ncrz(x71) q[7], q[0];\ncrz(x72) q[6], q[9];\ncrz(x64) q[6], q[8];\ncrz(x65) q[6], q[7];\ncrz(x67) q[6], q[5];\ncrz(x68) q[6], q[4];\ncrz(x67) q[6], q[3];\ncrz(x69) q[6], q[2];\ncrz(x70) q[6], q[1];\ncrz(x71) q[6], q[0];\ncrz(x72) q[5], q[9];\ncrz(x64) q[5], q[8];\ncrz(x65) q[5], q[7];\ncrz(x66) q[5], q[6];\ncrz(x68) q[5], q[4];\ncrz(x67) q[5], q[3];\ncrz(x69) q[5], q[2];\ncrz(x70) q[5], q[1];\ncrz(x71) q[5], q[0];\ncrz(x72) q[4], q[9];\ncrz(x64) q[4], q[8];\ncrz(x65) q[4], q[7];\ncrz(x66) q[4], q[6];\ncrz(x67) q[4], q[5];\ncrz(x67) q[4], q[3];\ncrz(x69) q[4], q[2];\ncrz(x70) q[4], q[1];\ncrz(x71) q[4], q[0];\ncrz(x72) q[3], q[9];\ncrz(x64) q[3], q[8];\ncrz(x65) q[3], q[7];\ncrz(x66) q[3], q[6];\ncrz(x67) q[3], q[5];\ncrz(x68) q[3], q[4];\ncrz(x69) q[3], q[2];\ncrz(x70) q[3], q[1];\ncrz(x71) q[3], q[0];\ncrz(x72) q[2], q[9];\ncrz(x64) q[2], q[8];\ncrz(x65) q[2], q[7];\ncrz(x66) q[2], q[6];\ncrz(x67) q[2], q[5];\ncrz(x68) q[2], q[4];\ncrz(x67) q[2], q[3];\ncrz(x70) q[2], q[1];\ncrz(x71) q[2], q[0];\ncrz(x72) q[1], q[9];\ncrz(x64) q[1], q[8];\ncrz(x65) q[1], q[7];\ncrz(x66) q[1], q[6];\ncrz(x67) q[1], q[5];\ncrz(x68) q[1], q[4];\ncrz(x67) q[1], q[3];\ncrz(x69) q[1], q[2];\ncrz(x71) q[1], q[0];\ncrz(x72) q[0], q[9];\ncrz(x64) q[0], q[8];\ncrz(x65) q[0], q[7];\ncrz(x66) q[0], q[6];\ncrz(x67) q[0], q[5];\ncrz(x68) q[0], q[4];\ncrz(x67) q[0], q[3];\ncrz(x69) q[0], q[2];\ncrz(x70) q[0], q[1];\nrx(x73) q[0];\nrz(x74) q[0];\nrx(x74) q[1];\nrz(x75) q[1];\nrx(x76) q[2];\nrz(x77) q[2];\nrx(x78) q[3];\nrz(x79) q[3];\nrx(x80) q[4];\nrz(x81) q[4];\nrx(x56) q[5];\nrz(x82) q[5];\nrx(x83) q[6];\nrz(x84) q[6];\nrx(x85) q[7];\nrz(x56) q[7];\nrx(x86) q[8];\nrz(x76) q[8];\nrx(x87) q[9];\nrz(x78) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","{\"source\": 0, \"sink\": 9}","{\"circuits\": [], \"gradients\": []}"]
["9b6c90aee56ab84919f7c826e678a024","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 4}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [35, 37], \"expectation_value\": -2.3403891236552696, \"params\": null, \"bitstrings\": [\"011100\", \"011010\"], \"total_optimization_steps\": 31, \"probabilities\": [0.09171740636696295, 0.7966511080330144], \"optimization_time\": 35.76844811439514}","0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * Z(0) + -0.25 * Z(1) + -0.625 * Z(2) + -0.125 * Z(3) + -0.25 * Z(4) + 0.125 * Z(5)",1,6,4,"{\"smallest_eigenvalues\": [-2.375, -2.375, -2.375], \"number_of_smallest_eigenvalues\": 3, \"first_excited_energy\": -1.375, \"smallest_bitstrings\": [\"101010\", \"011010\", \"011100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5158) q[2];\ncry(-1.3016) q[3], q[4];\nry(1.2942) q[5];\ncry(-1.3048) q[0], q[1];\nry(0.7841) q[0];\nry(-0.5322) q[1];\nry(0.7829) q[3];\ncry(0.505) q[5], q[0];\nry(-0.4525) q[4];\ncry(0.4531) q[5], q[3];\ncry(-0.2866) q[5], q[4];\ncry(-0.2295) q[5], q[1];\ncry(0.2347) q[0], q[5];\ncry(0.2086) q[0], q[3];\ncry(0.1678) q[3], q[0];\ncry(-0.055) q[5], q[2];\ncry(-0.0955) q[0], q[4];\ncry(-0.0783) q[3], q[1];\ncry(0.0481) q[3], q[5];\ncry(-0.0502) q[1], q[4];\ncry(0.0603) q[1], q[3];\ncry(-0.044) q[4], q[1];\ncry(0.0495) q[4], q[0];\ncry(0.0425) q[1], q[5];\ncry(-0.0297) q[4], q[3];\ncry(-0.0274) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];",null,null,{"$cut":{"chars":19316,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nry(1.2942) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nry(1.2942) q[5];\\ncry(-1.3048) q[0], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nry(1.2942) q[5];\\ncry(-1.3048) q[0], q[1];\\nry(0.7841) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nry(1.2942) q[5];\\ncry(-1.3048) q[0], q[1];\\nry(0.7841) q[0];\\nry(-0.5322) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nry(1.2942) q[5];\\ncry(-1.3048) q[0], q[1];\\nry(0.7841) q[0];\\nry(-0.5322) q[1];\\nry(0.7829) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nry(1.2942) q[5];\\ncry(-1.3048) q[0], q[1];\\nry(0.7841) q[0];\\nry(-0.5322) q[1];\\nry(0.7829) q[3];\\ncry(0.505) q[5], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nry(1.2942) q[5];\\ncry(-1.3048) q[0], q[1];\\nry(0.7841) q[0];\\nry(-0.5322) q[1];\\nry(0.7829) q[3];\\ncry(0.505) q[5], q[0];\\nry(-0.4525) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nry(1.2942) q[5];\\ncry(-1.3048) q[0], q[1];\\nry(0.7841) q[0];\\nry(-0.5322) q[1];\\nry(0.7829) q[3];\\ncry(0.505) q[5], q[0];\\nry(-0.4525) q[4];\\ncry(0.4531) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[6] c;\\nqubit[6] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nry(-1.5158) q[2];\\ncry(-1.3016) q[3], q[4];\\nry(1.2942) q[5];\\ncry(-1.3048) q[0], q[1];\\nry(0.7841) q[0];\\nry(-0.5322) q[1];\\nry(0.7829) q[3];\\ncry(0.505) q[5], q[0];\\nry(-0.4525) q[4];\\ncry(0.4531) q[5], q[3];\\ncry(-0.2866) q[5], q[4];\\nc[0"}}]
["24ad81747c6bd1903cd58d045c41656e","matching","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}], \"edges\": [{\"weight\": 10, \"source\": 0, \"target\": 1}, {\"weight\": 15, \"source\": 0, \"target\": 7}, {\"weight\": 15, \"source\": 0, \"target\": 6}, {\"weight\": 4, \"source\": 2, \"target\": 3}, {\"weight\": 11, \"source\": 2, \"target\": 7}, {\"weight\": 13, \"source\": 3, \"target\": 4}, {\"weight\": 4, \"source\": 4, \"target\": 5}, {\"weight\": 20, \"source\": 5, \"target\": 6}, {\"weight\": 10, \"source\": 6, \"target\": 7}]}","{\"states\": [219, 218], \"expectation_value\": -68.16999511146152, \"params\": [0.29150000000000004, 0.48660000000000003, 1.0606, -0.013600000000000001, 1.0579, 0.19290000000000002, 0.01, 0.6133000000000001, 1.0575, -0.0132, 1.059, 0.2886, 0.009000000000000001, 0.6881, 1.0639, 0.0, 0.5077, 0.40540000000000004, 0.2869, 0.462, 1.0644, -0.0091, 1.0498, 0.21730000000000002, 0.0094, 0.5899, 1.0509, 0.0035, 1.0496, 0.2705, 0.010400000000000001, 0.6836, 1.0691000000000002, 0.07150000000000001, 0.498, 0.4062, 0.2848, 0.0037, 1.0315, 0.0068000000000000005, 1.0475, 0.005, 0.0086, 0.0089, 1.0473000000000001, 0.0074, 1.0459, 0.002, 0.013300000000000001, 0.005200000000000001, 1.0233, 0.0002, 0.49760000000000004, 0.0013000000000000002, -0.048600000000000004, -0.13140000000000002, -0.022500000000000003, 0.3441, 0.0522, -0.0296, 0.5183, -0.5173, -0.1527, 0.2343, 0.4259, 0.019100000000000002, 0.5004000000000001, 0.5836, 0.030500000000000003, 0.6155, 0.6603, 0.38, 0.0097, 0.00030000000000000003, 0.0089, 0.0071, 0.0028, 0.0089, 0.00030000000000000003, 0.0063, 0.0033], \"bitstrings\": [\"100100100\", \"100100101\"], \"total_optimization_steps\": 120, \"probabilities\": [0.339704782050696, 0.5185728190808729], \"optimization_time\": 49.81560182571411}","4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * Z(1) + 10.0 * Z(4) + 2.0 * Z(3) + 6.5 * Z(5) + 2.0 * Z(6) + 14.5 * Z(7) + 14.0 * Z(8)",18,9,3,"{\"smallest_eigenvalues\": [-72.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -64.5, \"smallest_bitstrings\": [\"100100101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nrx(0.2915) q[0];\nrz(0.4866) q[0];\nrx(1.0606) q[1];\nrz(-0.0136) q[1];\nrx(1.0579) q[2];\nrz(0.1929) q[2];\nrx(0.01) q[3];\nrz(0.6133) q[3];\nrx(1.0575) q[4];\nrz(-0.0132) q[4];\nrx(1.059) q[5];\nrz(0.2886) q[5];\nrx(0.009) q[6];\nrz(0.6881) q[6];\nrx(1.0639) q[7];\nrz(0) q[7];\nrx(0.5077) q[8];\nrz(0.4054) q[8];\ncrz(-0.0486) q[8], q[0];\ncrz(-0.1527) q[7], q[8];\ncrz(-0.5173) q[6], q[7];\ncrz(0.5183) q[5], q[6];\ncrz(-0.0296) q[4], q[5];\ncrz(0.0522) q[3], q[4];\ncrz(0.3441) q[2], q[3];\ncrz(-0.0225) q[1], q[2];\ncrz(-0.1314) q[0], q[1];\nrx(0.2869) q[0];\nrz(0.462) q[0];\nrx(1.0644) q[1];\nrz(-0.0091) q[1];\nrx(1.0498) q[2];\nrz(0.2173) q[2];\nrx(0.0094) q[3];\nrz(0.5899) q[3];\nrx(1.0509) q[4];\nrz(0.0035) q[4];\nrx(1.0496) q[5];\nrz(0.2705) q[5];\nrx(0.0104) q[6];\nrz(0.6836) q[6];\nrx(1.0691) q[7];\nrz(0.0715) q[7];\nrx(0.498) q[8];\nrz(0.4062) q[8];\ncrz(0.2343) q[8], q[0];\ncrz(0.38) q[7], q[8];\ncrz(0.6603) q[6], q[7];\ncrz(0.6155) q[5], q[6];\ncrz(0.0305) q[4], q[5];\ncrz(0.5836) q[3], q[4];\ncrz(0.5004) q[2], q[3];\ncrz(0.0191) q[1], q[2];\ncrz(0.4259) q[0], q[1];\nrx(0.2848) q[0];\nrz(0.0037) q[0];\nrx(1.0315) q[1];\nrz(0.0068) q[1];\nrx(1.0475) q[2];\nrz(0.005) q[2];\nrx(0.0086) q[3];\nrz(0.0089) q[3];\nrx(1.0473) q[4];\nrz(0.0074) q[4];\nrx(1.0459) q[5];\nrz(0.002) q[5];\nrx(0.0133) q[6];\nrz(0.0052) q[6];\nrx(1.0233) q[7];\nrz(0.0002) q[7];\nrx(0.4976) q[8];\nrz(0.0013) q[8];\ncrz(0.0097) q[8], q[0];\ncrz(0.0033) q[7], q[8];\ncrz(0.0063) q[6], q[7];\ncrz(0.0003) q[5], q[6];\ncrz(0.0089) q[4], q[5];\ncrz(0.0028) q[3], q[4];\ncrz(0.0071) q[2], q[3];\ncrz(0.0089) q[1], q[2];\ncrz(0.0003) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nrx(x14) q[7];\nrz(x15) q[7];\nrx(x16) q[8];\nrz(x17) q[8];\ncrz(x18) q[8], q[0];\ncrz(x19) q[7], q[8];\ncrz(x20) q[6], q[7];\ncrz(x21) q[5], q[6];\ncrz(x22) q[4], q[5];\ncrz(x23) q[3], q[4];\ncrz(x24) q[2], q[3];\ncrz(x25) q[1], q[2];\ncrz(x26) q[0], q[1];\nrx(x27) q[0];\nrz(x28) q[0];\nrx(x29) q[1];\nrz(x30) q[1];\nrx(x31) q[2];\nrz(x32) q[2];\nrx(x33) q[3];\nrz(x34) q[3];\nrx(x35) q[4];\nrz(x36) q[4];\nrx(x37) q[5];\nrz(x38) q[5];\nrx(x39) q[6];\nrz(x40) q[6];\nrx(x41) q[7];\nrz(x42) q[7];\nrx(x43) q[8];\nrz(x44) q[8];\ncrz(x45) q[8], q[0];\ncrz(x46) q[7], q[8];\ncrz(x47) q[6], q[7];\ncrz(x48) q[5], q[6];\ncrz(x49) q[4], q[5];\ncrz(x50) q[3], q[4];\ncrz(x51) q[2], q[3];\ncrz(x52) q[1], q[2];\ncrz(x53) q[0], q[1];\nrx(x54) q[0];\nrz(x55) q[0];\nrx(x56) q[1];\nrz(x57) q[1];\nrx(x58) q[2];\nrz(x59) q[2];\nrx(x60) q[3];\nrz(x61) q[3];\nrx(x62) q[4];\nrz(x63) q[4];\nrx(x64) q[5];\nrz(x65) q[5];\nrx(x66) q[6];\nrz(x67) q[6];\nrx(x68) q[7];\nrz(x69) q[7];\nrx(x70) q[8];\nrz(x71) q[8];\ncrz(x72) q[8], q[0];\ncrz(x73) q[7], q[8];\ncrz(x74) q[6], q[7];\ncrz(x75) q[5], q[6];\ncrz(x61) q[4], q[5];\ncrz(x76) q[3], q[4];\ncrz(x77) q[2], q[3];\ncrz(x61) q[1], q[2];\ncrz(x75) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","{\"matching\": \"perfect\", \"extra\": \"{\\\"n\\\": 8}\"}","{\"circuits\": [], \"gradients\": []}"]
["78df5020371fd34d72b5173f19cc0fb1","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}], \"edges\": [{\"capacity\": 7, \"source\": 0, \"target\": 4}, {\"capacity\": 3, \"source\": 0, \"target\": 5}, {\"capacity\": 6, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 0, \"target\": 7}, {\"capacity\": 2, \"source\": 1, \"target\": 2}, {\"capacity\": 4, \"source\": 1, \"target\": 3}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 5, \"source\": 1, \"target\": 8}, {\"capacity\": 7, \"source\": 1, \"target\": 9}, {\"capacity\": 7, \"source\": 1, \"target\": 10}, {\"capacity\": 7, \"source\": 2, \"target\": 4}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 5, \"source\": 3, \"target\": 2}, {\"capacity\": 4, \"source\": 3, \"target\": 4}, {\"capacity\": 2, \"source\": 3, \"target\": 7}, {\"capacity\": 4, \"source\": 3, \"target\": 9}, {\"capacity\": 2, \"source\": 3, \"target\": 10}, {\"capacity\": 7, \"source\": 4, \"target\": 5}, {\"capacity\": 6, \"source\": 4, \"target\": 6}, {\"capacity\": 7, \"source\": 4, \"target\": 8}, {\"capacity\": 4, \"source\": 4, \"target\": 9}, {\"capacity\": 3, \"source\": 4, \"target\": 10}, {\"capacity\": 4, \"source\": 5, \"target\": 10}, {\"capacity\": 7, \"source\": 7, \"target\": 1}, {\"capacity\": 5, \"source\": 7, \"target\": 4}, {\"capacity\": 2, \"source\": 7, \"target\": 6}, {\"capacity\": 4, \"source\": 7, \"target\": 9}, {\"capacity\": 5, \"source\": 7, \"target\": 10}, {\"capacity\": 1, \"source\": 8, \"target\": 2}, {\"capacity\": 5, \"source\": 8, \"target\": 3}, {\"capacity\": 1, \"source\": 8, \"target\": 5}, {\"capacity\": 2, \"source\": 8, \"target\": 10}, {\"capacity\": 3, \"source\": 9, \"target\": 1}, {\"capacity\": 2, \"source\": 9, \"target\": 6}]}","{\"states\": [1023, 1015], \"expectation_value\": -32.85850067551705, \"params\": [[[0.0081, -0.0023], [-0.0017000000000000001, -0.0028], [-0.0011, -0.0023], [0.0054, -0.0028], [-0.0007, -0.0027], [-0.0048000000000000004, -0.0022], [-0.010400000000000001, 0.002], [-0.5503, -0.0019], [-0.0002, -0.0018000000000000002], [-1.5968, -0.006], [0.0177, -0.0009000000000000001]], [[0.0004, -0.0022], [-0.0039000000000000003, -0.0032], [-0.0085, 0.002], [-0.0063, -0.0029000000000000002], [-0.0071, -0.0029000000000000002], [-0.0021000000000000003, 0.0019], [0.0039000000000000003, -0.0023], [-0.5979, 0.0016], [-0.0036000000000000003, 0.0037], [-0.0054, -0.004], [-1.5475, 0.0022]], [[0.0135, -2.4856000000000003], [-0.0012000000000000001, -0.0016], [0.0027, 0.0023], [-0.0083, 0.0034000000000000002], [0.0005, 0.0033], [-0.0001, 0.0019], [-0.0009000000000000001, -0.0016], [-0.5875, 0.0023], [-0.0021000000000000003, 0.0025], [-0.011000000000000001, -0.0001], [-0.0005, 0.0009000000000000001]]], \"bitstrings\": [\"10000000000\", \"10000001000\"], \"total_optimization_steps\": 250, \"probabilities\": [0.3744489623916898, 0.5215767043230204], \"optimization_time\": 19.496737241744995}","-1.75 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(0)) + -1.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(1) @ Z(8)) + -1.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(6)) + -1.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(3)) + -1.25 * (Z(9) @ Z(4)) + -1.0 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(7)) + -1.0 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + 4.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(6)) + -1.25 * (Z(2) @ Z(8)) + -1.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(9)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(6) + -4.25 * Z(7) + 5.0 * Z(8) + 3.75 * Z(1) + -0.25 * Z(3) + 2.25 * Z(4) + -0.75 * Z(9) + -3.5 * Z(10) + -1.25 * Z(2)",15,11,3,"{\"smallest_eigenvalues\": [-36.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -35.5, \"smallest_bitstrings\": [\"10000001000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nry(0.0081) q[0];\nry(-0.0017) q[1];\nry(-0.0011) q[2];\nry(0.0054) q[3];\nry(-0.0007) q[4];\nry(-0.0048) q[5];\nry(-0.0104) q[6];\nry(-0.5503) q[7];\nry(-0.0002) q[8];\nry(-1.5968) q[9];\nry(0.0177) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0023) q[0];\nry(-0.0028) q[1];\nry(-0.0023) q[2];\nry(-0.0028) q[3];\nry(-0.0027) q[4];\nry(-0.0022) q[5];\nry(0.002) q[6];\nry(-0.0019) q[7];\nry(-0.0018) q[8];\nry(-0.006) q[9];\nry(-0.0009) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(0.0004) q[0];\nry(-0.0039) q[1];\nry(-0.0085) q[2];\nry(-0.0063) q[3];\nry(-0.0071) q[4];\nry(-0.0021) q[5];\nry(0.0039) q[6];\nry(-0.5979) q[7];\nry(-0.0036) q[8];\nry(-0.0054) q[9];\nry(-1.5475) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-0.0022) q[0];\nry(-0.0032) q[1];\nry(0.002) q[2];\nry(-0.0029) q[3];\nry(-0.0029) q[4];\nry(0.0019) q[5];\nry(-0.0023) q[6];\nry(0.0016) q[7];\nry(0.0037) q[8];\nry(-0.004) q[9];\nry(0.0022) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(0.0135) q[0];\nry(-0.0012) q[1];\nry(0.0027) q[2];\nry(-0.0083) q[3];\nry(0.0005) q[4];\nry(-0.0001) q[5];\nry(-0.0009) q[6];\nry(-0.5875) q[7];\nry(-0.0021) q[8];\nry(-0.011) q[9];\nry(-0.0005) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(-2.4856) q[0];\nry(-0.0016) q[1];\nry(0.0023) q[2];\nry(0.0034) q[3];\nry(0.0033) q[4];\nry(0.0019) q[5];\nry(-0.0016) q[6];\nry(0.0023) q[7];\nry(0.0025) q[8];\nry(-0.0001) q[9];\nry(0.0009) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[11] c;\nqubit[11] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x11) q[0];\nry(x12) q[1];\nry(x11) q[2];\nry(x12) q[3];\nry(x13) q[4];\nry(x14) q[5];\nry(x15) q[6];\nry(x16) q[7];\nry(x17) q[8];\nry(x18) q[9];\nry(x19) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x20) q[0];\nry(x21) q[1];\nry(x22) q[2];\nry(x23) q[3];\nry(x24) q[4];\nry(x25) q[5];\nry(x26) q[6];\nry(x27) q[7];\nry(x28) q[8];\nry(x29) q[9];\nry(x30) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x14) q[0];\nry(x31) q[1];\nry(x15) q[2];\nry(x32) q[3];\nry(x32) q[4];\nry(x33) q[5];\nry(x11) q[6];\nry(x34) q[7];\nry(x35) q[8];\nry(x36) q[9];\nry(x37) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nry(x38) q[0];\nry(x39) q[1];\nry(x40) q[2];\nry(x41) q[3];\nry(x42) q[4];\nry(x43) q[5];\nry(x19) q[6];\nry(x44) q[7];\nry(x25) q[8];\nry(x45) q[9];\nry(x46) q[10];\ncx q[10], q[0];\ncx q[9], q[10];\ncx q[8], q[9];\ncx q[7], q[8];\ncx q[6], q[7];\ncx q[5], q[6];\ncx q[4], q[5];\ncx q[3], q[4];\ncx q[2], q[3];\ncx q[1], q[2];\ncx q[0], q[1];\nry(x47) q[0];\nry(x48) q[1];\nry(x49) q[2];\nry(x50) q[3];\nry(x51) q[4];\nry(x33) q[5];\nry(x48) q[6];\nry(x49) q[7];\nry(x52) q[8];\nry(x43) q[9];\nry(x53) q[10];\ncx q[10], q[9];\ncx q[0], q[10];\ncx q[0], q[1];\ncx q[1], q[2];\ncx q[2], q[3];\ncx q[3], q[4];\ncx q[4], q[5];\ncx q[5], q[6];\ncx q[6], q[7];\ncx q[7], q[8];\ncx q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];","{\"source\": 0, \"sink\": 10}","{\"circuits\": [], \"gradients\": []}"]
["98cf638083ee5f86730c4c6c6a1cdd43","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"capacity\": 4, \"source\": 0, \"target\": 2}, {\"capacity\": 7, \"source\": 1, \"target\": 2}, {\"capacity\": 6, \"source\": 1, \"target\": 5}, {\"capacity\": 5, \"source\": 2, \"target\": 1}, {\"capacity\": 4, \"source\": 3, \"target\": 2}, {\"capacity\": 3, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 4, \"target\": 1}, {\"capacity\": 3, \"source\": 4, \"target\": 2}, {\"capacity\": 2, \"source\": 4, \"target\": 5}]}","{\"states\": [63, 31], \"expectation_value\": -0.6785400271281691, \"params\": [[0.0591], [-0.0577]], \"bitstrings\": [\"000000\", \"100000\"], \"total_optimization_steps\": 10, \"probabilities\": [0.018821542229349716, 0.019213938974982324], \"optimization_time\": 2.1020989418029785}","-1.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -3.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(1) + -1.5 * Z(5) + 1.75 * Z(3) + 1.75 * Z(4)",1,6,1,"{\"smallest_eigenvalues\": [-8.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -7.75, \"smallest_bitstrings\": [\"100000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(-0.1182) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(-0.3546) q[1];\ncx q[2], q[1];\ncx q[0], q[5];\nrz(0.1477) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(-0.1773) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(-0.1182) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(-0.0887) q[3];\ncx q[5], q[3];\ncx q[2], q[4];\nrz(-0.0887) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(-0.0591) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(-0.0591) q[4];\ncx q[5], q[4];\nrz(-0.3841) q[2];\nrz(-0.0295) q[0];\nrz(0.1773) q[1];\nrz(-0.1773) q[5];\nrz(0.2069) q[3];\nrz(0.2069) q[4];\nh q[0];\nrz(-0.1154) q[0];\nh q[0];\nh q[1];\nrz(-0.1154) q[1];\nh q[1];\nh q[2];\nrz(-0.1154) q[2];\nh q[2];\nh q[3];\nrz(-0.1154) q[3];\nh q[3];\nh q[4];\nrz(-0.1154) q[4];\nh q[4];\nh q[5];\nrz(-0.1154) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncx q[2], q[0];\nrz(x0) q[0];\ncx q[2], q[0];\ncx q[2], q[1];\nrz(x1) q[1];\ncx q[2], q[1];\ncx q[0], q[5];\nrz(x2) q[5];\ncx q[0], q[5];\ncx q[1], q[5];\nrz(x3) q[5];\ncx q[1], q[5];\ncx q[2], q[3];\nrz(x0) q[3];\ncx q[2], q[3];\ncx q[5], q[3];\nrz(x4) q[3];\ncx q[5], q[3];\ncx q[2], q[4];\nrz(x4) q[4];\ncx q[2], q[4];\ncx q[1], q[4];\nrz(x5) q[4];\ncx q[1], q[4];\ncx q[5], q[4];\nrz(x5) q[4];\ncx q[5], q[4];\nrz(x6) q[2];\nrz(x7) q[0];\nrz(x8) q[1];\nrz(x3) q[5];\nrz(x9) q[3];\nrz(x9) q[4];\nh q[0];\nrz(x10) q[0];\nh q[0];\nh q[1];\nrz(x10) q[1];\nh q[1];\nh q[2];\nrz(x10) q[2];\nh q[2];\nh q[3];\nrz(x10) q[3];\nh q[3];\nh q[4];\nrz(x10) q[4];\nh q[4];\nh q[5];\nrz(x10) q[5];\nh q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];","{\"source\": 0, \"sink\": 5}","{\"circuits\": [], \"gradients\": []}"]
["681688080027304733","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6], \"hyperedges\": [[3, 4, 6], [0, 2, 5], [0, 1, 6], [3, 4, 5], [1, 3, 5]]}","{\"states\": [125, 124], \"expectation_value\": -0.831730867873981, \"params\": [[[2.2162, 0.0061], [2.6616, 0.0063], [2.6797, 0.001], [2.6476, 0.00030000000000000003], [2.5993, 0.004], [1.5194, 0.0037], [1.5527, 0.0002]]], \"bitstrings\": [\"0000010\", \"0000011\"], \"total_optimization_steps\": 270, \"probabilities\": [0.16125855386021556, 0.16720625323693314], \"optimization_time\": 3.423954725265503}","0.3333333333333333 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.3333333333333333 * Z(4) + 0.4999999999999999 * Z(3) + 0.3333333333333333 * Z(6) + 0.3333333333333333 * Z(0) + 0.16666666666666666 * Z(2) + 0.4999999999999999 * Z(5) + 0.3333333333333333 * Z(1)",1,7,1,"{\"smallest_eigenvalues\": [-1.6666666666666667], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -1.6666666666666665, \"smallest_bitstrings\": [\"0000011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(2.2162) q[0];\nrz(0.0061) q[0];\nrx(2.6616) q[1];\nrz(0.0063) q[1];\nrx(2.6797) q[2];\nrz(0.001) q[2];\nrx(2.6476) q[3];\nrz(0.0003) q[3];\nrx(2.5993) q[4];\nrz(0.004) q[4];\nrx(1.5194) q[5];\nrz(0.0037) q[5];\nrx(1.5527) q[6];\nrz(0.0002) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["6913e77a092e6b8e92c97148a6d379f5","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}, {\"source\": 4, \"target\": 5}]}","{\"states\": [52, 54], \"expectation_value\": -1.5368112866276356, \"params\": [0.0005, 0.3095, 0.3981, 0.005, 0.40290000000000004, 0.0071, 0.2968, 0.06810000000000001, 0.4073, 0.0351, 0.4037, -0.001, 0.0025, 0.28750000000000003, 0.0066, 0.29050000000000004, 0.4041, 0.004200000000000001, 0.4077, 0.0079, 0.2954, 0.066, 0.4058, 0.032600000000000004, 0.40230000000000005, -0.0009000000000000001, 0.0022, 0.308, 0.0002, 0.30770000000000003, 0.4012, 0.004200000000000001, 0.40940000000000004, 0.0032, 0.2911, 0.06670000000000001, 0.4057, 0.0308, 0.40280000000000005, -0.0004, 0.004, 0.303, 0.0026000000000000003, 0.0047, 0.4048, 0.0053, 0.405, 0.008400000000000001, 0.2969, 0.0094, 0.40130000000000005, 0.001, 0.3976, 0.0019, 0.0016, 0.0051, 0.0008, 0.002, 0.0024000000000000002, -0.0049, -0.06570000000000001, 0.0036000000000000003, 0.007500000000000001, 0.0658, 0.0017000000000000001, 0.0002, 0.0095, -0.2803, 0.0043, 0.008, -0.0, 0.0018000000000000002, 0.0033, -0.0086, -0.0606, 0.0036000000000000003, 0.009300000000000001, 0.0627, 0.002, 0.0045000000000000005, 0.0043, -0.3007, 0.0028, 0.0068000000000000005, 0.003, 0.0074, 0.0047, -0.0005, -0.0415, 0.0079, 0.0013000000000000002, 0.0626, 0.005, 0.009300000000000001, 0.0055000000000000005, -0.2887, 0.0056, 0.009600000000000001, 0.0083, 0.0034000000000000002, 0.0074, 0.006900000000000001, 0.007500000000000001, 0.0048000000000000004, 0.0092, 0.0037, 0.009600000000000001, 0.0012000000000000001, 0.009300000000000001, 0.0076, 0.009600000000000001, 0.0055000000000000005], \"bitstrings\": [\"1001011\", \"1001001\"], \"total_optimization_steps\": 40, \"probabilities\": [0.04804205623913761, 0.05159807362263939], \"optimization_time\": 7.472399711608887}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(2)) + -0.125 * (Z(6) @ Z(4) @ Z(2)) + -0.125 * (Z(6) @ Z(5) @ Z(2)) + -0.125 * (Z(6) @ Z(4) @ Z(5)) + 0.125 * (Z(5) @ Z(6) @ Z(4) @ Z(2)) + -0.75 * Z(0) + 0.0 * Z(1) + 0.125 * Z(2) + -0.25 * Z(3) + 0.125 * Z(4) + -0.125 * Z(5) + -0.625 * Z(6)",16,7,4,"{\"smallest_eigenvalues\": [-3.625], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.625, \"smallest_bitstrings\": [\"1001001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nrx(0.0005) q[0];\nrz(0.3095) q[0];\nrx(0.3981) q[1];\nrz(0.005) q[1];\nrx(0.4029) q[2];\nrz(0.0071) q[2];\nrx(0.2968) q[3];\nrz(0.0681) q[3];\nrx(0.4073) q[4];\nrz(0.0351) q[4];\nrx(0.4037) q[5];\nrz(-0.001) q[5];\nrx(0.0025) q[6];\nrz(0.2875) q[6];\ncrz(0.0008) q[1], q[0];\ncrz(-0.0657) q[3], q[2];\ncrz(0.0017) q[5], q[4];\ncrz(-0.0049) q[2], q[1];\ncrz(0.0658) q[4], q[3];\ncrz(-0.2803) q[6], q[5];\nrx(0.0066) q[0];\nrz(0.2905) q[0];\nrx(0.4041) q[1];\nrz(0.0042) q[1];\nrx(0.4077) q[2];\nrz(0.0079) q[2];\nrx(0.2954) q[3];\nrz(0.066) q[3];\nrx(0.4058) q[4];\nrz(0.0326) q[4];\nrx(0.4023) q[5];\nrz(-0.0009) q[5];\nrx(0.0022) q[6];\nrz(0.308) q[6];\ncrz(0) q[1], q[0];\ncrz(-0.0606) q[3], q[2];\ncrz(0.002) q[5], q[4];\ncrz(-0.0086) q[2], q[1];\ncrz(0.0627) q[4], q[3];\ncrz(-0.3007) q[6], q[5];\nrx(0.0002) q[0];\nrz(0.3077) q[0];\nrx(0.4012) q[1];\nrz(0.0042) q[1];\nrx(0.4094) q[2];\nrz(0.0032) q[2];\nrx(0.2911) q[3];\nrz(0.0667) q[3];\nrx(0.4057) q[4];\nrz(0.0308) q[4];\nrx(0.4028) q[5];\nrz(-0.0004) q[5];\nrx(0.004) q[6];\nrz(0.303) q[6];\ncrz(0.003) q[1], q[0];\ncrz(-0.0415) q[3], q[2];\ncrz(0.005) q[5], q[4];\ncrz(-0.0005) q[2], q[1];\ncrz(0.0626) q[4], q[3];\ncrz(-0.2887) q[6], q[5];\nrx(0.0026) q[0];\nrz(0.0047) q[0];\nrx(0.4048) q[1];\nrz(0.0053) q[1];\nrx(0.405) q[2];\nrz(0.0084) q[2];\nrx(0.2969) q[3];\nrz(0.0094) q[3];\nrx(0.4013) q[4];\nrz(0.001) q[4];\nrx(0.3976) q[5];\nrz(0.0019) q[5];\nrx(0.0016) q[6];\nrz(0.0051) q[6];\ncrz(0.0083) q[1], q[0];\ncrz(0.0075) q[3], q[2];\ncrz(0.0096) q[5], q[4];\ncrz(0.0069) q[2], q[1];\ncrz(0.0037) q[4], q[3];\ncrz(0.0076) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x10) q[5];\nrz(x11) q[5];\nrx(x12) q[6];\nrz(x13) q[6];\ncrz(x14) q[1], q[0];\ncrz(x15) q[3], q[2];\ncrz(x16) q[5], q[4];\ncrz(x17) q[2], q[1];\ncrz(x18) q[4], q[3];\ncrz(x19) q[6], q[5];\nrx(x20) q[0];\nrz(x21) q[0];\nrx(x22) q[1];\nrz(x23) q[1];\nrx(x24) q[2];\nrz(x25) q[2];\nrx(x26) q[3];\nrz(x27) q[3];\nrx(x28) q[4];\nrz(x29) q[4];\nrx(x30) q[5];\nrz(x31) q[5];\nrx(x32) q[6];\nrz(x33) q[6];\ncrz(x34) q[1], q[0];\ncrz(x35) q[3], q[2];\ncrz(x36) q[5], q[4];\ncrz(x37) q[2], q[1];\ncrz(x38) q[4], q[3];\ncrz(x39) q[6], q[5];\nrx(x40) q[0];\nrz(x41) q[0];\nrx(x42) q[1];\nrz(x23) q[1];\nrx(x43) q[2];\nrz(x44) q[2];\nrx(x45) q[3];\nrz(x46) q[3];\nrx(x47) q[4];\nrz(x48) q[4];\nrx(x49) q[5];\nrz(x50) q[5];\nrx(x51) q[6];\nrz(x52) q[6];\ncrz(x53) q[1], q[0];\ncrz(x54) q[3], q[2];\ncrz(x3) q[5], q[4];\ncrz(x55) q[2], q[1];\ncrz(x56) q[4], q[3];\ncrz(x57) q[6], q[5];\nrx(x58) q[0];\nrz(x59) q[0];\nrx(x60) q[1];\nrz(x61) q[1];\nrx(x62) q[2];\nrz(x63) q[2];\nrx(x64) q[3];\nrz(x65) q[3];\nrx(x66) q[4];\nrz(x67) q[4];\nrx(x68) q[5];\nrz(x69) q[5];\nrx(x70) q[6];\nrz(x71) q[6];\ncrz(x72) q[1], q[0];\ncrz(x73) q[3], q[2];\ncrz(x74) q[5], q[4];\ncrz(x75) q[2], q[1];\ncrz(x76) q[4], q[3];\ncrz(x77) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"circuits\": [], \"gradients\": []}"]
["fbeca3287c88ac656e8f44e35837a20d","matching","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"bipartite\": 0, \"id\": 0}, {\"bipartite\": 0, \"id\": 1}, {\"bipartite\": 0, \"id\": 2}, {\"bipartite\": 1, \"id\": 3}, {\"bipartite\": 1, \"id\": 4}, {\"bipartite\": 1, \"id\": 5}, {\"bipartite\": 1, \"id\": 6}, {\"bipartite\": 1, \"id\": 7}], \"edges\": [{\"weight\": 3, \"source\": 0, \"target\": 3}, {\"weight\": 11, \"source\": 0, \"target\": 6}, {\"weight\": 3, \"source\": 1, \"target\": 4}, {\"weight\": 11, \"source\": 1, \"target\": 7}, {\"weight\": 11, \"source\": 1, \"target\": 3}, {\"weight\": 20, \"source\": 1, \"target\": 6}, {\"weight\": 7, \"source\": 2, \"target\": 5}, {\"weight\": 15, \"source\": 2, \"target\": 7}]}","{\"states\": [173, 109], \"expectation_value\": -33.36837699923367, \"params\": null, \"bitstrings\": [\"01010010\", \"10010010\"], \"total_optimization_steps\": 100, \"probabilities\": [0.0674883042215478, 0.26759242894517665], \"optimization_time\": 162.6431634426117}","4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3) + 7.5 * Z(7) + -1.0 * Z(6)",1,8,4,"{\"smallest_eigenvalues\": [-59.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -51.0, \"smallest_bitstrings\": [\"10010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[4];\nry(63.0262) q[5];\nry(63.114) q[2];\ncry(1.4809) q[2], q[4];\nry(0.3263) q[7];\ncry(0.3699) q[4], q[2];\ncry(-0.122) q[4], q[7];\ncry(0.2335) q[2], q[7];\ncry(-1.4492) q[7], q[6];\ncry(1.1563) q[4], q[5];\ncry(-0.2066) q[2], q[3];\ncry(-0.0432) q[4], q[3];\ncry(-0.6485) q[5], q[7];\ncry(-0.4207) q[5], q[3];\ncry(-0.5904) q[5], q[2];\ncry(0.7153) q[5], q[4];\ncry(1.4124) q[1], q[7];\ncry(1.1805) q[7], q[2];\ncry(-1.5709) q[1], q[0];\nry(0.2116) q[1];\ncry(0.5076) q[5], q[1];\ncry(-0.592) q[7], q[4];\nry(-0.621) q[3];\ncry(-1.0147) q[1], q[2];\ncry(-0.5055) q[7], q[5];\ncry(-1.019) q[1], q[5];\ncry(0.9008) q[2], q[5];\ncry(-0.9049) q[1], q[4];\ncry(0.846) q[6], q[5];\ncry(1.4444) q[0], q[7];\ncry(2.1676) q[6], q[2];\ncry(-0.6614) q[7], q[1];\ncry(0.8991) q[2], q[1];\ncry(-0.398) q[2], q[0];\nry(0.3088) q[0];\ncry(1.305) q[7], q[3];\ncry(1.8776) q[3], q[2];\ncry(-1.1537) q[1], q[3];\ncry(-0.2437) q[7], q[0];\ncry(-0.275) q[0], q[4];\ncry(1.3944) q[3], q[5];\nry(-0.1385) q[6];\ncry(0.5997) q[3], q[1];\ncry(-0.5547) q[6], q[0];\ncry(0.756) q[6], q[3];\ncry(-0.465) q[0], q[6];\ncry(0.1827) q[3], q[7];\ncry(-0.7829) q[0], q[3];\ncry(-0.6913) q[3], q[0];\ncry(-0.0494) q[5], q[0];\ncry(0.0929) q[4], q[1];\ncry(-0.0549) q[5], q[6];\ncry(0.0684) q[2], q[6];\ncry(-0.3414) q[0], q[1];\ncry(0.0834) q[4], q[0];\ncry(-0.1343) q[3], q[6];\ncry(-0.1932) q[0], q[2];\ncry(-0.0667) q[6], q[1];\ncry(0.1963) q[6], q[7];\ncry(-0.0457) q[1], q[6];\ncry(-0.025) q[0], q[5];\ncry(-0.0099) q[4], q[6];\ncry(0.0171) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"matching\": \"maximum_bipartite\", \"extra\": \"{\\\"left_nodes\\\": [0, 1, 2], \\\"right_nodes\\\": [3, 4, 5, 6, 7]}\"}",{"$cut":{"chars":137625,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nry(63.0262) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nry(63.0262) q[5];\\nry(63.114) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nry(63.0262) q[5];\\nry(63.114) q[2];\\ncry(1.4809) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nry(63.0262) q[5];\\nry(63.114) q[2];\\ncry(1.4809) q[2], q[4];\\nry(0.3263) q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nry(63.0262) q[5];\\nry(63.114) q[2];\\ncry(1.4809) q[2], q[4];\\nry(0.3263) q[7];\\ncry(0.3699) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nry(63.0262) q[5];\\nry(63.114) q[2];\\ncry(1.4809) q[2], q[4];\\nry(0.3263) q[7];\\ncry(0.3699) q[4], q[2];\\ncry(-0.122) q[4], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nry(63.0262) q[5];\\nry(63.114) q[2];\\ncry(1.4809) q[2], q[4];\\nry(0.3263) q[7];\\ncry(0.3699) q[4], q[2];\\ncry(-0.122) q[4], q[7];\\ncry(0.2335) q[2], q[7];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nry(63.0262) q[5];\\nry(63.114) q[2];\\ncry(1.4809) q[2], q[4];\\nry(0.3263) q[7];\\ncry(0.3699) q[4], q[2];\\ncry(-0.122) q[4], q[7];\\ncry(0.2335) q[2], q[7];\\ncry(-1.4492) q[7], q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\nc[7] = measure q[7];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[8] c;\\nqubit[8] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nh q[7];\\nry(0.1246) q[4];\\nry(63.0262) q[5];\\nry(63.114) q[2];\\ncry(1.4809) q[2], q[4];\\nry(0.3263) q[7];\\ncry(0.3699) q[4], q[2];\\ncry(-0.122) q[4], q[7];\\ncr"}}]
["26d7f56e59bfdf48052023802b40605b","edge_cover","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 4}, {\"source\": 3, \"target\": 4}]}","{\"states\": [5, 9], \"expectation_value\": -2.473733379112567, \"params\": null, \"bitstrings\": [\"11010\", \"10110\"], \"total_optimization_steps\": 15, \"probabilities\": [0.07350741985248108, 0.9006631074695891], \"optimization_time\": 10.210949182510376}","0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4)",1,5,3,"{\"smallest_eigenvalues\": [-2.5, -2.5], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -1.5, \"smallest_bitstrings\": [\"11010\", \"10110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[0];\nry(-1.5486) q[3];\nry(1.4448) q[4];\ncry(-1.0344) q[1], q[2];\nry(0.7001) q[1];\nry(-0.4548) q[2];\ncry(0.4963) q[4], q[1];\ncry(-0.3788) q[4], q[2];\ncry(0.1073) q[1], q[4];\ncry(-0.0222) q[4], q[0];\ncry(-0.0719) q[2], q[1];\ncry(-0.0215) q[4], q[3];\ncry(0.0284) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,null,"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\ncry(0.4963) q[4], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\ncry(0.4963) q[4], q[1];\\ncry(-0.3788) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\ncry(0.4963) q[4], q[1];\\ncry(-0.3788) q[4], q[2];\\ncry(0.1073) q[1], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\ncry(0.4963) q[4], q[1];\\ncry(-0.3788) q[4], q[2];\\ncry(0.1073) q[1], q[4];\\ncry(-0.0222) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\ncry(0.4963) q[4], q[1];\\ncry(-0.3788) q[4], q[2];\\ncry(0.1073) q[1], q[4];\\ncry(-0.0222) q[4], q[0];\\ncry(-0.0719) q[2], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\ncry(0.4963) q[4], q[1];\\ncry(-0.3788) q[4], q[2];\\ncry(0.1073) q[1], q[4];\\ncry(-0.0222) q[4], q[0];\\ncry(-0.0719) q[2], q[1];\\ncry(-0.0215) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\ncry(0.4963) q[4], q[1];\\ncry(-0.3788) q[4], q[2];\\ncry(0.1073) q[1], q[4];\\ncry(-0.0222) q[4], q[0];\\ncry(-0.0719) q[2], q[1];\\ncry(-0.0215) q[4], q[3];\\ncry(0.0284) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\ncry(0.4963) q[4], q[1];\\ncry(-0.3788) q[4], q[2];\\ncry(0.1073) q[1], q[4];\\ncry(-0.0222) q[4], q[0];\\ncry(-0.0719) q[2], q[1];\\ncry(-0.0215) q[4], q[3];\\ncry(0.0284) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5486) q[0];\\nry(-1.5486) q[3];\\nry(1.4448) q[4];\\ncry(-1.0344) q[1], q[2];\\nry(0.7001) q[1];\\nry(-0.4548) q[2];\\ncry(0.4963) q[4], q[1];\\ncry(-0.3788) q[4], q[2];\\ncry(0.1073) q[1], q[4];\\ncry(-0.0222) q[4], q[0];\\ncry(-0.0719) q[2], q[1];\\ncry(-0.0215) q[4], q[3];\\ncry(0.0284) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [0.7524, 0.7515, 0.4998, 0.2507, 0.2457, 0.1879, 0.2243, 0.1875, 0.052, 0.034, 0.0156, 0.0139, 0.0061, 0.0042, 0.0028]}"]
["47a87bdf07cc47063498596ffad620cd","min_cut","qaoa","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"capacity\": 5, \"source\": 0, \"target\": 1}, {\"capacity\": 5, \"source\": 0, \"target\": 2}, {\"capacity\": 3, \"source\": 0, \"target\": 3}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 3, \"source\": 2, \"target\": 6}, {\"capacity\": 2, \"source\": 3, \"target\": 2}, {\"capacity\": 5, \"source\": 3, \"target\": 4}, {\"capacity\": 6, \"source\": 3, \"target\": 5}, {\"capacity\": 4, \"source\": 5, \"target\": 3}]}","{\"states\": [15, 1], \"expectation_value\": -4.77329462667508, \"params\": [[0.07300000000000001, 0.0655, 0.0614, 0.0582], [-0.0732, -0.063, -0.0592, -0.058800000000000005]], \"bitstrings\": [\"1110000\", \"1111110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.03189634304440516, 0.04819503040456702], \"optimization_time\": 4.740304946899414}","-1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5)",1,7,4,"{\"smallest_eigenvalues\": [-15.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.75, \"smallest_bitstrings\": [\"1111110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(-0.1825) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1825) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.1095) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.073) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(0.511) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.1095) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(-0.1825) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.365) q[5];\ncx q[3], q[5];\nrz(-0.1825) q[1];\nrz(-0.0365) q[0];\nrz(-0.146) q[2];\nrz(0.219) q[3];\nrz(0.4015) q[6];\nrz(-0.1825) q[4];\nrz(-0.073) q[5];\nh q[0];\nrz(-0.1464) q[0];\nh q[0];\nh q[1];\nrz(-0.1464) q[1];\nh q[1];\nh q[2];\nrz(-0.1464) q[2];\nh q[2];\nh q[3];\nrz(-0.1464) q[3];\nh q[3];\nh q[4];\nrz(-0.1464) q[4];\nh q[4];\nh q[5];\nrz(-0.1464) q[5];\nh q[5];\nh q[6];\nrz(-0.1464) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.1638) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1638) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0983) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0655) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(0.4585) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0983) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(-0.1638) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.3275) q[5];\ncx q[3], q[5];\nrz(-0.1638) q[1];\nrz(-0.0328) q[0];\nrz(-0.131) q[2];\nrz(0.1965) q[3];\nrz(0.3603) q[6];\nrz(-0.1638) q[4];\nrz(-0.0655) q[5];\nh q[0];\nrz(-0.126) q[0];\nh q[0];\nh q[1];\nrz(-0.126) q[1];\nh q[1];\nh q[2];\nrz(-0.126) q[2];\nh q[2];\nh q[3];\nrz(-0.126) q[3];\nh q[3];\nh q[4];\nrz(-0.126) q[4];\nh q[4];\nh q[5];\nrz(-0.126) q[5];\nh q[5];\nh q[6];\nrz(-0.126) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.1535) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1535) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0921) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0614) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(0.4298) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0921) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(-0.1535) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.307) q[5];\ncx q[3], q[5];\nrz(-0.1535) q[1];\nrz(-0.0307) q[0];\nrz(-0.1228) q[2];\nrz(0.1842) q[3];\nrz(0.3377) q[6];\nrz(-0.1535) q[4];\nrz(-0.0614) q[5];\nh q[0];\nrz(-0.1184) q[0];\nh q[0];\nh q[1];\nrz(-0.1184) q[1];\nh q[1];\nh q[2];\nrz(-0.1184) q[2];\nh q[2];\nh q[3];\nrz(-0.1184) q[3];\nh q[3];\nh q[4];\nrz(-0.1184) q[4];\nh q[4];\nh q[5];\nrz(-0.1184) q[5];\nh q[5];\nh q[6];\nrz(-0.1184) q[6];\nh q[6];\ncx q[1], q[0];\nrz(-0.1455) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(-0.1455) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(-0.0873) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(-0.0582) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(0.4074) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(-0.0873) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(-0.1455) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(-0.291) q[5];\ncx q[3], q[5];\nrz(-0.1455) q[1];\nrz(-0.0291) q[0];\nrz(-0.1164) q[2];\nrz(0.1746) q[3];\nrz(0.3201) q[6];\nrz(-0.1455) q[4];\nrz(-0.0582) q[5];\nh q[0];\nrz(-0.1176) q[0];\nh q[0];\nh q[1];\nrz(-0.1176) q[1];\nh q[1];\nh q[2];\nrz(-0.1176) q[2];\nh q[2];\nh q[3];\nrz(-0.1176) q[3];\nh q[3];\nh q[4];\nrz(-0.1176) q[4];\nh q[4];\nh q[5];\nrz(-0.1176) q[5];\nh q[5];\nh q[6];\nrz(-0.1176) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncx q[1], q[0];\nrz(x0) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x0) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x1) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x2) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(x3) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x1) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(x0) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x4) q[5];\ncx q[3], q[5];\nrz(x0) q[1];\nrz(x5) q[0];\nrz(x6) q[2];\nrz(x7) q[3];\nrz(x8) q[6];\nrz(x0) q[4];\nrz(x2) q[5];\nh q[0];\nrz(x9) q[0];\nh q[0];\nh q[1];\nrz(x9) q[1];\nh q[1];\nh q[2];\nrz(x9) q[2];\nh q[2];\nh q[3];\nrz(x9) q[3];\nh q[3];\nh q[4];\nrz(x9) q[4];\nh q[4];\nh q[5];\nrz(x9) q[5];\nh q[5];\nh q[6];\nrz(x9) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x10) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x10) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x11) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x12) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(x13) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x11) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(x10) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x14) q[5];\ncx q[3], q[5];\nrz(x10) q[1];\nrz(x15) q[0];\nrz(x16) q[2];\nrz(x17) q[3];\nrz(x18) q[6];\nrz(x10) q[4];\nrz(x12) q[5];\nh q[0];\nrz(x19) q[0];\nh q[0];\nh q[1];\nrz(x19) q[1];\nh q[1];\nh q[2];\nrz(x19) q[2];\nh q[2];\nh q[3];\nrz(x19) q[3];\nh q[3];\nh q[4];\nrz(x19) q[4];\nh q[4];\nh q[5];\nrz(x19) q[5];\nh q[5];\nh q[6];\nrz(x19) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x20) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x20) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x21) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x22) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(x23) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x21) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(x20) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x24) q[5];\ncx q[3], q[5];\nrz(x20) q[1];\nrz(x25) q[0];\nrz(x26) q[2];\nrz(x27) q[3];\nrz(x28) q[6];\nrz(x20) q[4];\nrz(x22) q[5];\nh q[0];\nrz(x29) q[0];\nh q[0];\nh q[1];\nrz(x29) q[1];\nh q[1];\nh q[2];\nrz(x29) q[2];\nh q[2];\nh q[3];\nrz(x29) q[3];\nh q[3];\nh q[4];\nrz(x29) q[4];\nh q[4];\nh q[5];\nrz(x29) q[5];\nh q[5];\nh q[6];\nrz(x29) q[6];\nh q[6];\ncx q[1], q[0];\nrz(x30) q[0];\ncx q[1], q[0];\ncx q[0], q[2];\nrz(x30) q[2];\ncx q[0], q[2];\ncx q[0], q[3];\nrz(x31) q[3];\ncx q[0], q[3];\ncx q[2], q[3];\nrz(x32) q[3];\ncx q[2], q[3];\ncx q[0], q[6];\nrz(x33) q[6];\ncx q[0], q[6];\ncx q[2], q[6];\nrz(x31) q[6];\ncx q[2], q[6];\ncx q[3], q[4];\nrz(x30) q[4];\ncx q[3], q[4];\ncx q[3], q[5];\nrz(x34) q[5];\ncx q[3], q[5];\nrz(x30) q[1];\nrz(x35) q[0];\nrz(x36) q[2];\nrz(x37) q[3];\nrz(x38) q[6];\nrz(x30) q[4];\nrz(x32) q[5];\nh q[0];\nrz(x39) q[0];\nh q[0];\nh q[1];\nrz(x39) q[1];\nh q[1];\nh q[2];\nrz(x39) q[2];\nh q[2];\nh q[3];\nrz(x39) q[3];\nh q[3];\nh q[4];\nrz(x39) q[4];\nh q[4];\nh q[5];\nrz(x39) q[5];\nh q[5];\nh q[6];\nrz(x39) q[6];\nh q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];","{\"source\": 0, \"sink\": 6}","{\"circuits\": [], \"gradients\": []}"]
["16e531ebd5c4fa365456c9500ea8e716","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 5}, {\"id\": 4}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 5}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}, {\"source\": 2, \"target\": 6}, {\"source\": 3, \"target\": 6}, {\"source\": 5, \"target\": 4}]}","{\"states\": [38, 7], \"expectation_value\": -12.588143650301648, \"params\": null, \"bitstrings\": [\"1011001\", \"1111000\"], \"total_optimization_steps\": 63, \"probabilities\": [0.10773790860779595, 0.6115449305490317], \"optimization_time\": 83.04577779769897}","2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(4) @ Z(5)) + 2.5 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + 2.25 * (Z(6) @ Z(2)) + 2.25 * (Z(6) @ Z(3)) + 2.5 * (Z(6) @ Z(5)) + 2.5 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -3.5 * Z(0) + -3.5 * Z(2) + -3.5 * Z(3) + -3.0 * Z(5) + -2.75 * Z(4) + -3.0 * Z(6)",1,7,1,"{\"smallest_eigenvalues\": [-13.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -12.5, \"smallest_bitstrings\": [\"1111000\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[0];\ncry(-1.5708) q[5], q[3];\ncry(-1.5707) q[4], q[2];\nry(1.103) q[4];\ncry(-1.5708) q[6], q[1];\nry(1.0124) q[5];\nry(-0.4863) q[2];\nry(0.7256) q[6];\nry(-0.4809) q[3];\nry(-0.2806) q[1];\ncry(0.3307) q[4], q[5];\ncry(0.27) q[5], q[4];\ncry(-0.1916) q[5], q[2];\ncry(-0.1798) q[4], q[3];\ncry(0.3419) q[4], q[6];\ncry(-0.2427) q[4], q[1];\ncry(0.2727) q[5], q[6];\ncry(-0.1493) q[5], q[1];\ncry(0.1371) q[6], q[4];\ncry(0.1407) q[6], q[5];\ncry(-0.0747) q[6], q[2];\ncry(-0.0719) q[6], q[3];\ncry(0.2841) q[2], q[6];\ncry(0.24) q[3], q[6];\ncry(-0.179) q[2], q[1];\ncry(0.1657) q[2], q[5];\ncry(-0.0129) q[6], q[0];\ncry(0.128) q[1], q[4];\ncry(-0.1046) q[3], q[1];\ncry(0.1268) q[3], q[4];\ncry(-0.1086) q[3], q[2];\ncry(-0.084) q[2], q[3];\ncry(0.1139) q[1], q[5];\ncry(-0.0628) q[1], q[2];\ncry(-0.0617) q[1], q[6];\ncry(-0.0559) q[1], q[3];\ncry(-0.0398) q[3], q[5];\ncry(-0.0018) q[4], q[0];\ncry(-0.0207) q[2], q[4];\ncry(-0.0108) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];",null,"{\"k\": 4}",{"$cut":{"chars":58977,"head":"{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\ncry(-1.5708) q[5], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\ncry(-1.5708) q[5], q[3];\\ncry(-1.5707) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\ncry(-1.5708) q[5], q[3];\\ncry(-1.5707) q[4], q[2];\\nry(1.103) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\ncry(-1.5708) q[5], q[3];\\ncry(-1.5707) q[4], q[2];\\nry(1.103) q[4];\\ncry(-1.5708) q[6], q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\ncry(-1.5708) q[5], q[3];\\ncry(-1.5707) q[4], q[2];\\nry(1.103) q[4];\\ncry(-1.5708) q[6], q[1];\\nry(1.0124) q[5];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\ncry(-1.5708) q[5], q[3];\\ncry(-1.5707) q[4], q[2];\\nry(1.103) q[4];\\ncry(-1.5708) q[6], q[1];\\nry(1.0124) q[5];\\nry(-0.4863) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\ncry(-1.5708) q[5], q[3];\\ncry(-1.5707) q[4], q[2];\\nry(1.103) q[4];\\ncry(-1.5708) q[6], q[1];\\nry(1.0124) q[5];\\nry(-0.4863) q[2];\\nry(0.7256) q[6];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\ncry(-1.5708) q[5], q[3];\\ncry(-1.5707) q[4], q[2];\\nry(1.103) q[4];\\ncry(-1.5708) q[6], q[1];\\nry(1.0124) q[5];\\nry(-0.4863) q[2];\\nry(0.7256) q[6];\\nry(-0.4809) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[7] c;\\nqubit[7] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nh q[5];\\nh q[6];\\nry(-1.5577) q[0];\\ncry(-1.5708) q[5], q[3];\\ncry(-1.5707) q[4], q[2];\\nry(1.103) q[4];\\ncry(-1.5708) q[6], q[1];\\nry(1.0124) q[5];\\nry(-0.4863) q[2];\\nry(0.7256) q[6];\\nry(-0.4809) q[3];\\nry(-0.2806) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\nc[5] = measure q[5];\\nc[6] = measure q[6];\\n\", \"OPENQASM 3.0;\\ninclude \\\"st"}}]
["8c44c442a25e00dfae4e1647b2faf79f","kclique","adaptive_vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}]}","{\"states\": [6, 3], \"expectation_value\": -7.0656952876822015, \"params\": null, \"bitstrings\": [\"11001\", \"11100\"], \"total_optimization_steps\": 29, \"probabilities\": [0.13151145307142467, 0.6825224339075274], \"optimization_time\": 22.695643424987793}","1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4)",10,5,4,"{\"smallest_eigenvalues\": [-7.5], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -6.5, \"smallest_bitstrings\": [\"11100\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\ncry(-1.5708) q[4], q[2];\ncry(-1.566) q[3], q[0];\nry(1.033) q[3];\nry(0.6973) q[4];\nry(-0.4799) q[0];\nry(-0.2689) q[2];\ncry(0.4052) q[3], q[4];\ncry(-0.2661) q[3], q[2];\ncry(0.259) q[4], q[3];\ncry(-0.1613) q[4], q[0];\ncry(0.2083) q[2], q[3];\ncry(-0.1438) q[2], q[4];\ncry(0.2156) q[0], q[4];\ncry(-0.113) q[0], q[3];\ncry(-0.069) q[0], q[2];\ncry(-0.0442) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];",null,"{\"k\": 3}","{\"circuits\": [\"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\", \"OPENQASM 3.0;\\ninclude \\\"stdgates.inc\\\";\\nbit[5] c;\\nqubit[5] q;\\nh q[0];\\nh q[1];\\nh q[2];\\nh q[3];\\nh q[4];\\nry(-1.5708) q[1];\\ncry(-1.5708) q[4], q[2];\\ncry(-1.566) q[3], q[0];\\nry(1.033) q[3];\\nry(0.6973) q[4];\\nry(-0.4799) q[0];\\nry(-0.2689) q[2];\\ncry(0.4052) q[3], q[4];\\ncry(-0.2661) q[3], q[2];\\ncry(0.259) q[4], q[3];\\ncry(-0.1613) q[4], q[0];\\ncry(0.2083) q[2], q[3];\\ncry(-0.1438) q[2], q[4];\\ncry(0.2156) q[0], q[4];\\ncry(-0.113) q[0], q[3];\\ncry(-0.069) q[0], q[2];\\ncry(-0.0442) q[2], q[0];\\nc[0] = measure q[0];\\nc[1] = measure q[1];\\nc[2] = measure q[2];\\nc[3] = measure q[3];\\nc[4] = measure q[4];\\n\"], \"gradients\": [2.7768, 1.5099, 0.9426, 1.671, 0.8305, 1.1104, 0.5906, 0.4879, 0.5481, 0.3245, 0.3485, 0.0716, 0.0675, 0.0652, 0.0476, 0.0295, 0.019, 0.0111, 0.0109, 0.0084, 0.0079, 0.0076, 0.0056, 0.0054, 0.0049, 0.0048, 0.0038, 0.0037, 0.0026]}"]
["bdc829c24e8c4816616b9f106f37497b","min_cut","vqe","{\"directed\": true, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}, {\"id\": 10}, {\"id\": 11}], \"edges\": [{\"capacity\": 2, \"source\": 0, \"target\": 2}, {\"capacity\": 1, \"source\": 0, \"target\": 6}, {\"capacity\": 1, \"source\": 0, \"target\": 8}, {\"capacity\": 1, \"source\": 0, \"target\": 9}, {\"capacity\": 2, \"source\": 0, \"target\": 10}, {\"capacity\": 1, \"source\": 1, \"target\": 2}, {\"capacity\": 1, \"source\": 1, \"target\": 4}, {\"capacity\": 1, \"source\": 1, \"target\": 6}, {\"capacity\": 1, \"source\": 3, \"target\": 1}, {\"capacity\": 1, \"source\": 3, \"target\": 5}, {\"capacity\": 2, \"source\": 3, \"target\": 8}, {\"capacity\": 1, \"source\": 6, \"target\": 2}, {\"capacity\": 1, \"source\": 6, \"target\": 9}, {\"capacity\": 1, \"source\": 6, \"target\": 10}, {\"capacity\": 1, \"source\": 7, \"target\": 3}, {\"capacity\": 1, \"source\": 7, \"target\": 5}, {\"capacity\": 1, \"source\": 7, \"target\": 9}, {\"capacity\": 2, \"source\": 8, \"target\": 1}, {\"capacity\": 1, \"source\": 8, \"target\": 5}, {\"capacity\": 1, \"source\": 9, \"target\": 7}, {\"capacity\": 2, \"source\": 10, \"target\": 3}, {\"capacity\": 2, \"source\": 10, \"target\": 7}, {\"capacity\": 2, \"source\": 10, \"target\": 8}, {\"capacity\": 1, \"source\": 10, \"target\": 11}]}","{\"states\": [0, 256], \"expectation_value\": -9.489806602522526, \"params\": [-0.0053, -0.0021000000000000003, -0.0005, 0.0027, 0.0018000000000000002, 0.0014, 0.20020000000000002, 0.20800000000000002, 0.002, 0.0041, 0.008, 0.0046, 0.005200000000000001, 0.0038, 0.008, 0.0023, 0.0076, 0.0008, 0.0048000000000000004, 0.0031000000000000003, 0.0037, -0.0029000000000000002, 0.0044, 0.0015, 0.0025, -0.0024000000000000002, 0.0024000000000000002, 0.0085, 0.004, -0.0004, 0.2041, 0.20120000000000002, 0.0037, 0.0021000000000000003, -0.0004, 0.0029000000000000002, 0.0045000000000000005, -0.0011, 0.0049, -0.0008, 0.0034000000000000002, -0.0017000000000000001, 0.0031000000000000003, 0.0033, 0.00030000000000000003, 0.0046, -0.0023, 0.0018000000000000002, -0.0043, 0.0019, -0.0001, 0.001, 0.0058000000000000005, 0.006900000000000001, 0.20500000000000002, 0.2082, 0.0014, -0.0001, -0.0008, 0.0051, 0.0031000000000000003, -0.0001, 0.0066, 0.0004, 0.0002, 0.00030000000000000003, 0.0054, -0.0001, 0.0002, 0.0056, 0.0038, 0.004, 0.0017000000000000001, -0.003, 0.0022, 0.009000000000000001, 0.005200000000000001, 0.0004, 0.2084, 0.20520000000000002, 0.0044, -0.001, 0.0037, 0.0001, 0.0013000000000000002, 0.003, 0.0033, -0.00030000000000000003, 0.0055000000000000005, 0.006, 0.0036000000000000003, 0.0019, 0.0026000000000000003, 0.0015, 0.0026000000000000003, -0.0002, 0.1512, -0.0086, -0.0032, 0.1004, -0.0591, -0.0043, 0.1685, -0.08420000000000001, -0.0023, 0.16770000000000002, -0.1524, -0.0014, -0.042300000000000004, -0.15030000000000002, -0.0161, -0.0795, -0.0037, -0.024300000000000002, 0.0262, -0.0884, -0.025500000000000002, 0.007200000000000001, -0.1148, -0.006900000000000001, 0.15560000000000002, 0.012100000000000001, 0.0014, 0.09000000000000001, -0.063, -0.0055000000000000005, 0.164, -0.0363, -0.0027, 0.1693, -0.1282, -0.0013000000000000002, -0.1358, -0.0971, -0.001, -0.14450000000000002, -0.08850000000000001, -0.0056, -0.0103, -0.097, -0.0092, -0.0091, -0.063, -0.0027, 0.1558, -0.0005, -0.012, -0.08610000000000001, -0.0088, -0.0057, 0.16720000000000002, 0.023200000000000002, -0.0036000000000000003, 0.17, -0.0597, -0.0005, -0.1589, 0.014, -0.0032, -0.0908, -0.050800000000000005, -0.0073, -0.0021000000000000003, -0.0148, -0.015700000000000002, 0.007, 0.0036000000000000003, 0.0071, 0.0941, 0.0049, 0.0012000000000000001, -0.0892, 0.031400000000000004, -0.0086, 0.1655, 0.0155, -0.0021000000000000003, 0.16160000000000002, 0.0516, -0.0024000000000000002, 0.058, 0.0664, -0.0017000000000000001, 0.11810000000000001, 0.038900000000000004, -0.004, -0.0005, 0.057600000000000005, 0.0111, -0.0002, -0.0032, 0.0091], \"bitstrings\": [\"111111111111\", \"111011111111\"], \"total_optimization_steps\": 20, \"probabilities\": [0.4647053571200942, 0.5340958788047131], \"optimization_time\": 21.58227229118347}","-0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(8)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(10)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(10)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(9) @ Z(11)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(7)) + 2.0 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(8) + -0.5 * Z(10) + -0.5 * Z(11) + 1.0 * Z(2) + 0.0 * Z(1) + -0.25 * Z(6) + 0.25 * Z(5) + -0.75 * Z(7) + 0.0 * Z(9) + 1.75 * Z(3)",14,12,4,"{\"smallest_eigenvalues\": [-12.75], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -11.75, \"smallest_bitstrings\": [\"111011111111\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.0053) q[0];\nry(-0.0005) q[1];\nry(0.0018) q[2];\nry(0.2002) q[3];\nry(0.002) q[4];\nry(0.008) q[5];\nry(0.0052) q[6];\nry(0.008) q[7];\nry(0.0076) q[8];\nry(0.0048) q[9];\nry(0.0037) q[10];\nry(0.0044) q[11];\ncrx(0.1512) q[11], q[0];\ncrx(-0.1148) q[10], q[11];\ncrx(-0.0255) q[9], q[10];\ncrx(0.0262) q[8], q[9];\ncrx(-0.0037) q[7], q[8];\ncrx(-0.0161) q[6], q[7];\ncrx(-0.0423) q[5], q[6];\ncrx(-0.1524) q[4], q[5];\ncrx(-0.0023) q[3], q[4];\ncrx(0.1685) q[2], q[3];\ncrx(-0.0591) q[1], q[2];\ncrx(-0.0032) q[0], q[1];\nry(-0.0021) q[0];\nry(0.0027) q[1];\nry(0.0014) q[2];\nry(0.208) q[3];\nry(0.0041) q[4];\nry(0.0046) q[5];\nry(0.0038) q[6];\nry(0.0023) q[7];\nry(0.0008) q[8];\nry(0.0031) q[9];\nry(-0.0029) q[10];\nry(0.0015) q[11];\ncrx(-0.0086) q[11], q[10];\ncrx(0.1004) q[0], q[11];\ncrx(-0.0043) q[0], q[1];\ncrx(-0.0842) q[1], q[2];\ncrx(0.1677) q[2], q[3];\ncrx(-0.0014) q[3], q[4];\ncrx(-0.1503) q[4], q[5];\ncrx(-0.0795) q[5], q[6];\ncrx(-0.0243) q[6], q[7];\ncrx(-0.0884) q[7], q[8];\ncrx(0.0072) q[8], q[9];\ncrx(-0.0069) q[9], q[10];\nry(0.0025) q[0];\nry(0.0024) q[1];\nry(0.004) q[2];\nry(0.2041) q[3];\nry(0.0037) q[4];\nry(-0.0004) q[5];\nry(0.0045) q[6];\nry(0.0049) q[7];\nry(0.0034) q[8];\nry(0.0031) q[9];\nry(0.0003) q[10];\nry(-0.0023) q[11];\ncrx(0.1556) q[11], q[0];\ncrx(-0.063) q[10], q[11];\ncrx(-0.0092) q[9], q[10];\ncrx(-0.0103) q[8], q[9];\ncrx(-0.0885) q[7], q[8];\ncrx(-0.001) q[6], q[7];\ncrx(-0.1358) q[5], q[6];\ncrx(-0.1282) q[4], q[5];\ncrx(-0.0027) q[3], q[4];\ncrx(0.164) q[2], q[3];\ncrx(-0.063) q[1], q[2];\ncrx(0.0014) q[0], q[1];\nry(-0.0024) q[0];\nry(0.0085) q[1];\nry(-0.0004) q[2];\nry(0.2012) q[3];\nry(0.0021) q[4];\nry(0.0029) q[5];\nry(-0.0011) q[6];\nry(-0.0008) q[7];\nry(-0.0017) q[8];\nry(0.0033) q[9];\nry(0.0046) q[10];\nry(0.0018) q[11];\ncrx(0.0121) q[11], q[10];\ncrx(0.09) q[0], q[11];\ncrx(-0.0055) q[0], q[1];\ncrx(-0.0363) q[1], q[2];\ncrx(0.1693) q[2], q[3];\ncrx(-0.0013) q[3], q[4];\ncrx(-0.0971) q[4], q[5];\ncrx(-0.1445) q[5], q[6];\ncrx(-0.0056) q[6], q[7];\ncrx(-0.097) q[7], q[8];\ncrx(-0.0091) q[8], q[9];\ncrx(-0.0027) q[9], q[10];\nry(-0.0043) q[0];\nry(-0.0001) q[1];\nry(0.0058) q[2];\nry(0.205) q[3];\nry(0.0014) q[4];\nry(-0.0008) q[5];\nry(0.0031) q[6];\nry(0.0066) q[7];\nry(0.0002) q[8];\nry(0.0054) q[9];\nry(0.0002) q[10];\nry(0.0038) q[11];\ncrx(0.1558) q[11], q[0];\ncrx(0.0036) q[10], q[11];\ncrx(-0.0157) q[9], q[10];\ncrx(-0.0021) q[8], q[9];\ncrx(-0.0508) q[7], q[8];\ncrx(-0.0032) q[6], q[7];\ncrx(-0.1589) q[5], q[6];\ncrx(-0.0597) q[4], q[5];\ncrx(-0.0036) q[3], q[4];\ncrx(0.1672) q[2], q[3];\ncrx(-0.0088) q[1], q[2];\ncrx(-0.012) q[0], q[1];\nry(0.0019) q[0];\nry(0.001) q[1];\nry(0.0069) q[2];\nry(0.2082) q[3];\nry(-0.0001) q[4];\nry(0.0051) q[5];\nry(-0.0001) q[6];\nry(0.0004) q[7];\nry(0.0003) q[8];\nry(-0.0001) q[9];\nry(0.0056) q[10];\nry(0.004) q[11];\ncrx(-0.0005) q[11], q[10];\ncrx(-0.0861) q[0], q[11];\ncrx(-0.0057) q[0], q[1];\ncrx(0.0232) q[1], q[2];\ncrx(0.17) q[2], q[3];\ncrx(-0.0005) q[3], q[4];\ncrx(0.014) q[4], q[5];\ncrx(-0.0908) q[5], q[6];\ncrx(-0.0073) q[6], q[7];\ncrx(-0.0148) q[7], q[8];\ncrx(0.007) q[8], q[9];\ncrx(0.0071) q[9], q[10];\nry(0.0017) q[0];\nry(0.0022) q[1];\nry(0.0052) q[2];\nry(0.2084) q[3];\nry(0.0044) q[4];\nry(0.0037) q[5];\nry(0.0013) q[6];\nry(0.0033) q[7];\nry(0.0055) q[8];\nry(0.0036) q[9];\nry(0.0026) q[10];\nry(0.0026) q[11];\ncrx(0.0941) q[11], q[0];\ncrx(-0.0032) q[10], q[11];\ncrx(0.0111) q[9], q[10];\ncrx(-0.0005) q[8], q[9];\ncrx(0.0389) q[7], q[8];\ncrx(-0.0017) q[6], q[7];\ncrx(0.058) q[5], q[6];\ncrx(0.0516) q[4], q[5];\ncrx(-0.0021) q[3], q[4];\ncrx(0.1655) q[2], q[3];\ncrx(0.0314) q[1], q[2];\ncrx(0.0012) q[0], q[1];\nry(-0.003) q[0];\nry(0.009) q[1];\nry(0.0004) q[2];\nry(0.2052) q[3];\nry(-0.001) q[4];\nry(0.0001) q[5];\nry(0.003) q[6];\nry(-0.0003) q[7];\nry(0.006) q[8];\nry(0.0019) q[9];\nry(0.0015) q[10];\nry(-0.0002) q[11];\ncrx(0.0049) q[11], q[10];\ncrx(-0.0892) q[0], q[11];\ncrx(-0.0086) q[0], q[1];\ncrx(0.0155) q[1], q[2];\ncrx(0.1616) q[2], q[3];\ncrx(-0.0024) q[3], q[4];\ncrx(0.0664) q[4], q[5];\ncrx(0.1181) q[5], q[6];\ncrx(-0.004) q[6], q[7];\ncrx(0.0576) q[7], q[8];\ncrx(-0.0002) q[8], q[9];\ncrx(0.0091) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x100;\ninput float[64] x101;\ninput float[64] x102;\ninput float[64] x103;\ninput float[64] x104;\ninput float[64] x105;\ninput float[64] x106;\ninput float[64] x107;\ninput float[64] x108;\ninput float[64] x109;\ninput float[64] x11;\ninput float[64] x110;\ninput float[64] x111;\ninput float[64] x112;\ninput float[64] x113;\ninput float[64] x114;\ninput float[64] x115;\ninput float[64] x116;\ninput float[64] x117;\ninput float[64] x118;\ninput float[64] x119;\ninput float[64] x12;\ninput float[64] x120;\ninput float[64] x121;\ninput float[64] x122;\ninput float[64] x123;\ninput float[64] x124;\ninput float[64] x125;\ninput float[64] x126;\ninput float[64] x127;\ninput float[64] x128;\ninput float[64] x129;\ninput float[64] x13;\ninput float[64] x130;\ninput float[64] x131;\ninput float[64] x132;\ninput float[64] x133;\ninput float[64] x134;\ninput float[64] x135;\ninput float[64] x136;\ninput float[64] x137;\ninput float[64] x138;\ninput float[64] x139;\ninput float[64] x14;\ninput float[64] x140;\ninput float[64] x141;\ninput float[64] x142;\ninput float[64] x143;\ninput float[64] x144;\ninput float[64] x145;\ninput float[64] x146;\ninput float[64] x147;\ninput float[64] x148;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x68;\ninput float[64] x69;\ninput float[64] x7;\ninput float[64] x70;\ninput float[64] x71;\ninput float[64] x72;\ninput float[64] x73;\ninput float[64] x74;\ninput float[64] x75;\ninput float[64] x76;\ninput float[64] x77;\ninput float[64] x78;\ninput float[64] x79;\ninput float[64] x8;\ninput float[64] x80;\ninput float[64] x81;\ninput float[64] x82;\ninput float[64] x83;\ninput float[64] x84;\ninput float[64] x85;\ninput float[64] x86;\ninput float[64] x87;\ninput float[64] x88;\ninput float[64] x89;\ninput float[64] x9;\ninput float[64] x90;\ninput float[64] x91;\ninput float[64] x92;\ninput float[64] x93;\ninput float[64] x94;\ninput float[64] x95;\ninput float[64] x96;\ninput float[64] x97;\ninput float[64] x98;\ninput float[64] x99;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x5) q[7];\nry(x7) q[8];\nry(x8) q[9];\nry(x9) q[10];\nry(x10) q[11];\ncrx(x11) q[11], q[0];\ncrx(x12) q[10], q[11];\ncrx(x13) q[9], q[10];\ncrx(x14) q[8], q[9];\ncrx(x15) q[7], q[8];\ncrx(x16) q[6], q[7];\ncrx(x17) q[5], q[6];\ncrx(x18) q[4], q[5];\ncrx(x19) q[3], q[4];\ncrx(x20) q[2], q[3];\ncrx(x21) q[1], q[2];\ncrx(x22) q[0], q[1];\nry(x23) q[0];\nry(x24) q[1];\nry(x25) q[2];\nry(x26) q[3];\nry(x27) q[4];\nry(x28) q[5];\nry(x29) q[6];\nry(x30) q[7];\nry(x31) q[8];\nry(x32) q[9];\nry(x33) q[10];\nry(x34) q[11];\ncrx(x35) q[11], q[10];\ncrx(x36) q[0], q[11];\ncrx(x37) q[0], q[1];\ncrx(x38) q[1], q[2];\ncrx(x39) q[2], q[3];\ncrx(x40) q[3], q[4];\ncrx(x41) q[4], q[5];\ncrx(x42) q[5], q[6];\ncrx(x43) q[6], q[7];\ncrx(x44) q[7], q[8];\ncrx(x45) q[8], q[9];\ncrx(x46) q[9], q[10];\nry(x47) q[0];\nry(x48) q[1];\nry(x49) q[2];\nry(x50) q[3];\nry(x9) q[4];\nry(x51) q[5];\nry(x52) q[6];\nry(x53) q[7];\nry(x54) q[8];\nry(x32) q[9];\nry(x55) q[10];\nry(x19) q[11];\ncrx(x56) q[11], q[0];\ncrx(x57) q[10], q[11];\ncrx(x58) q[9], q[10];\ncrx(x59) q[8], q[9];\ncrx(x60) q[7], q[8];\ncrx(x61) q[6], q[7];\ncrx(x62) q[5], q[6];\ncrx(x63) q[4], q[5];\ncrx(x64) q[3], q[4];\ncrx(x65) q[2], q[3];\ncrx(x57) q[1], q[2];\ncrx(x25) q[0], q[1];\nry(x66) q[0];\nry(x67) q[1];\nry(x51) q[2];\nry(x68) q[3];\nry(x69) q[4];\nry(x70) q[5];\nry(x71) q[6];\nry(x72) q[7];\nry(x73) q[8];\nry(x74) q[9];\nry(x28) q[10];\nry(x2) q[11];\ncrx(x75) q[11], q[10];\ncrx(x76) q[0], q[11];\ncrx(x77) q[0], q[1];\ncrx(x78) q[1], q[2];\ncrx(x79) q[2], q[3];\ncrx(x80) q[3], q[4];\ncrx(x81) q[4], q[5];\ncrx(x82) q[5], q[6];\ncrx(x83) q[6], q[7];\ncrx(x84) q[7], q[8];\ncrx(x85) q[8], q[9];\ncrx(x64) q[9], q[10];\nry(x37) q[0];\nry(x86) q[1];\nry(x87) q[2];\nry(x88) q[3];\nry(x25) q[4];\nry(x72) q[5];\nry(x32) q[6];\nry(x89) q[7];\nry(x90) q[8];\nry(x91) q[9];\nry(x90) q[10];\nry(x29) q[11];\ncrx(x92) q[11], q[0];\ncrx(x93) q[10], q[11];\ncrx(x94) q[9], q[10];\ncrx(x23) q[8], q[9];\ncrx(x95) q[7], q[8];\ncrx(x22) q[6], q[7];\ncrx(x96) q[5], q[6];\ncrx(x97) q[4], q[5];\ncrx(x98) q[3], q[4];\ncrx(x99) q[2], q[3];\ncrx(x100) q[1], q[2];\ncrx(x101) q[0], q[1];\nry(x102) q[0];\nry(x103) q[1];\nry(x104) q[2];\nry(x105) q[3];\nry(x86) q[4];\nry(x106) q[5];\nry(x86) q[6];\nry(x107) q[7];\nry(x55) q[8];\nry(x86) q[9];\nry(x108) q[10];\nry(x49) q[11];\ncrx(x1) q[11], q[10];\ncrx(x109) q[0], q[11];\ncrx(x110) q[0], q[1];\ncrx(x111) q[1], q[2];\ncrx(x112) q[2], q[3];\ncrx(x1) q[3], q[4];\ncrx(x113) q[4], q[5];\ncrx(x114) q[5], q[6];\ncrx(x115) q[6], q[7];\ncrx(x116) q[7], q[8];\ncrx(x117) q[8], q[9];\ncrx(x118) q[9], q[10];\nry(x119) q[0];\nry(x120) q[1];\nry(x6) q[2];\nry(x121) q[3];\nry(x10) q[4];\nry(x9) q[5];\nry(x122) q[6];\nry(x74) q[7];\nry(x123) q[8];\nry(x93) q[9];\nry(x124) q[10];\nry(x124) q[11];\ncrx(x125) q[11], q[0];\ncrx(x22) q[10], q[11];\ncrx(x126) q[9], q[10];\ncrx(x1) q[8], q[9];\ncrx(x127) q[7], q[8];\ncrx(x73) q[6], q[7];\ncrx(x128) q[5], q[6];\ncrx(x129) q[4], q[5];\ncrx(x23) q[3], q[4];\ncrx(x130) q[2], q[3];\ncrx(x131) q[1], q[2];\ncrx(x132) q[0], q[1];\nry(x133) q[0];\nry(x134) q[1];\nry(x107) q[2];\nry(x135) q[3];\nry(x61) q[4];\nry(x136) q[5];\nry(x137) q[6];\nry(x138) q[7];\nry(x139) q[8];\nry(x102) q[9];\nry(x34) q[10];\nry(x140) q[11];\ncrx(x53) q[11], q[10];\ncrx(x141) q[0], q[11];\ncrx(x35) q[0], q[1];\ncrx(x142) q[1], q[2];\ncrx(x143) q[2], q[3];\ncrx(x66) q[3], q[4];\ncrx(x144) q[4], q[5];\ncrx(x145) q[5], q[6];\ncrx(x146) q[6], q[7];\ncrx(x147) q[7], q[8];\ncrx(x140) q[8], q[9];\ncrx(x148) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","{\"source\": 0, \"sink\": 11}","{\"circuits\": [], \"gradients\": []}"]
["d9ea67cc338acf231b39509b225b5f5a","vertex_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}, {\"id\": 7}, {\"id\": 8}, {\"id\": 9}], \"edges\": [{\"source\": 0, \"target\": 3}, {\"source\": 0, \"target\": 9}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 4}, {\"source\": 1, \"target\": 8}, {\"source\": 2, \"target\": 4}, {\"source\": 2, \"target\": 5}, {\"source\": 2, \"target\": 6}, {\"source\": 2, \"target\": 7}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 3, \"target\": 7}, {\"source\": 4, \"target\": 5}, {\"source\": 4, \"target\": 7}, {\"source\": 5, \"target\": 8}, {\"source\": 6, \"target\": 8}, {\"source\": 7, \"target\": 8}, {\"source\": 7, \"target\": 9}]}","{\"states\": [792, 796], \"expectation_value\": -7.634181333034863, \"params\": [1.1974, 1.1996, 1.1981000000000002, 1.1998, -0.0016, -0.0013000000000000002, -0.0013000000000000002, -0.0014, 0.0077, -0.0004, 1.1935, 1.1972, 1.1978, 1.196, 0.7187, 0.6742, -0.0106, 0.0171, 0.5279, 0.3834, 1.0325, 0.0005, 1.1491, -0.6252, 0.003, 0.5806, 0.8106, 0.0011, -0.8881, -0.1115, -0.3332, 0.42150000000000004, 0.7368, -0.2446, 0.6567000000000001, 0.5755, -0.00030000000000000003, 0.6994, 0.2538, 0.0005], \"bitstrings\": [\"0011100111\", \"0011100011\"], \"total_optimization_steps\": 120, \"probabilities\": [0.20346546530267334, 0.23114320744386596], \"optimization_time\": 7.205878496170044}","0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(9) + -2.0 * Z(2) + -1.0 * Z(1) + -2.0 * Z(4) + -1.5 * Z(8) + -1.5 * Z(5) + -0.5 * Z(6) + -2.0 * Z(7)",14,10,1,"{\"smallest_eigenvalues\": [-9.0], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -8.0, \"smallest_bitstrings\": [\"0011100011\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nry(1.1974) q[0];\nry(1.1981) q[1];\nry(-0.0016) q[2];\nry(-0.0013) q[3];\nry(0.0077) q[4];\nry(1.1935) q[5];\nry(1.1978) q[6];\nry(0.7187) q[7];\nry(-0.0106) q[8];\nry(0.5279) q[9];\ncrx(1.0325) q[9], q[0];\ncrx(0.2538) q[8], q[9];\ncrx(-0.0003) q[7], q[8];\ncrx(0.6567) q[6], q[7];\ncrx(0.7368) q[5], q[6];\ncrx(-0.3332) q[4], q[5];\ncrx(-0.8881) q[3], q[4];\ncrx(0.8106) q[2], q[3];\ncrx(0.003) q[1], q[2];\ncrx(1.1491) q[0], q[1];\nry(1.1996) q[0];\nry(1.1998) q[1];\nry(-0.0013) q[2];\nry(-0.0014) q[3];\nry(-0.0004) q[4];\nry(1.1972) q[5];\nry(1.196) q[6];\nry(0.6742) q[7];\nry(0.0171) q[8];\nry(0.3834) q[9];\ncrx(0.0005) q[9], q[8];\ncrx(-0.6252) q[0], q[9];\ncrx(0.5806) q[0], q[1];\ncrx(0.0011) q[1], q[2];\ncrx(-0.1115) q[2], q[3];\ncrx(0.4215) q[3], q[4];\ncrx(-0.2446) q[4], q[5];\ncrx(0.5755) q[5], q[6];\ncrx(0.6994) q[6], q[7];\ncrx(0.0005) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[10] c;\nqubit[10] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\ncrx(x10) q[9], q[0];\ncrx(x11) q[8], q[9];\ncrx(x12) q[7], q[8];\ncrx(x13) q[6], q[7];\ncrx(x14) q[5], q[6];\ncrx(x15) q[4], q[5];\ncrx(x16) q[3], q[4];\ncrx(x17) q[2], q[3];\ncrx(x18) q[1], q[2];\ncrx(x19) q[0], q[1];\nry(x20) q[0];\nry(x21) q[1];\nry(x3) q[2];\nry(x22) q[3];\nry(x23) q[4];\nry(x24) q[5];\nry(x25) q[6];\nry(x26) q[7];\nry(x27) q[8];\nry(x28) q[9];\ncrx(x29) q[9], q[8];\ncrx(x30) q[0], q[9];\ncrx(x31) q[0], q[1];\ncrx(x32) q[1], q[2];\ncrx(x33) q[2], q[3];\ncrx(x34) q[3], q[4];\ncrx(x35) q[4], q[5];\ncrx(x36) q[5], q[6];\ncrx(x37) q[6], q[7];\ncrx(x29) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];",null,"{\"circuits\": [], \"gradients\": []}"]
["-3011477091187662550","hypermaxcut","vqe","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"hyperedges\": [[8, 1, 10, 5], [3, 4, 6], [10, 2], [1, 2, 7], [8, 9, 4, 5], [0, 2], [0, 11]]}","{\"states\": [1526, 1522], \"expectation_value\": -2.3267081823157554, \"params\": [[[-0.002, 0.0032, 0.0028, 0.0038], [0.9868, -0.0019, 1.0749, 0.0017000000000000001], [-0.0031000000000000003, 0.0011, 0.0061, 0.0024000000000000002], [0.228, -0.0018000000000000002, 1.461, 0.007], [2.6998, 0.0037, 0.004200000000000001, 0.0088], [0.0019, -0.4403, 1.5689000000000002, 0.0088], [2.6869, 0.0007, 0.0082, 0.0081], [-0.0025, 0.298, 1.5733000000000001, 0.0044], [0.6479, 0.006, 0.009300000000000001, 0.0092], [0.6694, -0.9055000000000001, 0.4571, 0.006900000000000001], [2.6942, 0.0051, 0.007, 0.008], [1.028, 0.005200000000000001, 0.0002, 0.008400000000000001]]], \"bitstrings\": [\"101000001001\", \"101000001101\"], \"total_optimization_steps\": 270, \"probabilities\": [0.2413868118123883, 0.3440505939933639], \"optimization_time\": 20.621893405914307}","0.08333333333333333 * (Z(10) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(10)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.08333333333333333 * (Z(11) @ Z(10)) + 0.08333333333333333 * (Z(11) @ Z(7)) + 0.08333333333333333 * (Z(11) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.29166666666666663 * Z(1) + 0.24999999999999994 * Z(10) + 0.125 * Z(2) + 0.24999999999999994 * Z(7) + 0.29166666666666674 * Z(6) + 0.16666666666666666 * Z(5) + 0.16666666666666666 * Z(8) + 0.16666666666666674 * Z(4) + 0.16666666666666666 * Z(9) + 0.125 * Z(11) + 0.0 * Z(0) + 0.0 * Z(3)",12,12,1,"{\"smallest_eigenvalues\": [-2.6666666666666674, -2.6666666666666674], \"number_of_smallest_eigenvalues\": 2, \"first_excited_energy\": -2.6666666666666665, \"smallest_bitstrings\": [\"101001000101\", \"101000001101\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nry(-0.002) q[0];\nrz(0.0032) q[0];\nry(0.9868) q[1];\nrz(-0.0019) q[1];\nry(-0.0031) q[2];\nrz(0.0011) q[2];\nry(0.228) q[3];\nrz(-0.0018) q[3];\nry(2.6998) q[4];\nrz(0.0037) q[4];\nry(0.0019) q[5];\nrz(-0.4403) q[5];\nry(2.6869) q[6];\nrz(0.0007) q[6];\nry(-0.0025) q[7];\nrz(0.298) q[7];\nry(0.6479) q[8];\nrz(0.006) q[8];\nry(0.6694) q[9];\nrz(-0.9055) q[9];\nry(2.6942) q[10];\nrz(0.0051) q[10];\nry(1.028) q[11];\nrz(0.0052) q[11];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\ncz q[11], q[10];\nry(1.0749) q[1];\nry(1.0749) q[1];\nrz(0.0024) q[2];\nrz(0.0024) q[2];\ncz q[2], q[1];\nry(1.461) q[3];\nry(1.461) q[3];\nrz(0.0088) q[4];\nrz(0.0088) q[4];\ncz q[4], q[3];\nry(1.5689) q[5];\nry(1.5689) q[5];\nrz(0.0081) q[6];\nrz(0.0081) q[6];\ncz q[6], q[5];\nry(1.5733) q[7];\nry(1.5733) q[7];\nrz(0.0092) q[8];\nrz(0.0092) q[8];\ncz q[8], q[7];\nry(0.4571) q[9];\nry(0.4571) q[9];\nrz(0.008) q[10];\nrz(0.008) q[10];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[12] c;\nqubit[12] q;\nry(x0) q[0];\nrz(x1) q[0];\nry(x2) q[1];\nrz(x3) q[1];\nry(x4) q[2];\nrz(x5) q[2];\nry(x6) q[3];\nrz(x7) q[3];\nry(x8) q[4];\nrz(x9) q[4];\nry(x10) q[5];\nrz(x11) q[5];\nry(x12) q[6];\nrz(x13) q[6];\nry(x14) q[7];\nrz(x15) q[7];\nry(x16) q[8];\nrz(x17) q[8];\nry(x18) q[9];\nrz(x19) q[9];\nry(x20) q[10];\nrz(x21) q[10];\nry(x22) q[11];\nrz(x23) q[11];\ncz q[1], q[0];\ncz q[3], q[2];\ncz q[5], q[4];\ncz q[7], q[6];\ncz q[9], q[8];\ncz q[11], q[10];\nry(x24) q[1];\nry(x24) q[1];\nrz(x25) q[2];\nrz(x25) q[2];\ncz q[2], q[1];\nry(x26) q[3];\nry(x26) q[3];\nrz(x27) q[4];\nrz(x27) q[4];\ncz q[4], q[3];\nry(x28) q[5];\nry(x28) q[5];\nrz(x29) q[6];\nrz(x29) q[6];\ncz q[6], q[5];\nry(x30) q[7];\nry(x30) q[7];\nrz(x31) q[8];\nrz(x31) q[8];\ncz q[8], q[7];\nry(x32) q[9];\nry(x32) q[9];\nrz(x33) q[10];\nrz(x33) q[10];\ncz q[10], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];",null,"{\"circuits\": [], \"gradients\": []}"]
["1075735371644372428","hypermaxcut","qaoa","{\"nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"hyperedges\": [[0, 5, 6, 7], [8, 1, 6], [0, 2, 3, 7, 8], [4, 5], [8, 3, 5, 7], [0, 3, 6], [1, 4], [1, 5, 6], [8, 2, 6, 7]]}","{\"states\": [457, 489], \"expectation_value\": -0.08717803243205142, \"params\": [[0.0771], [-0.0721]], \"bitstrings\": [\"000110110\", \"000010110\"], \"total_optimization_steps\": 10, \"probabilities\": [0.002149855976833149, 0.0021536189863799473], \"optimization_time\": 3.3333890438079834}","0.08333333333333333 * (Z(0) @ Z(5)) + 0.25 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.05 * (Z(8) @ Z(0)) + 0.25 * (Z(8) @ Z(6)) + 0.21666666666666667 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.05 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(2) @ Z(7)) + 0.13333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(8)) + 0.05 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.41666666666666685 * Z(5) + 0.3916666666666668 * Z(0) + 0.7500000000000001 * Z(6) + 0.475 * Z(7) + 0.5166666666666666 * Z(8) + 0.33333333333333326 * Z(1) + 0.225 * Z(2) + 0.39166666666666666 * Z(3) + 0.0 * Z(4)",1,9,1,"{\"smallest_eigenvalues\": [-2.7833333333333337], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -2.6166666666666667, \"smallest_bitstrings\": [\"000010110\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[0];\nrz(0.0129) q[0];\ncx q[5], q[0];\ncx q[5], q[6];\nrz(0.0386) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(0.0386) q[6];\ncx q[0], q[6];\ncx q[5], q[7];\nrz(0.0257) q[7];\ncx q[5], q[7];\ncx q[0], q[7];\nrz(0.0206) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(0.0257) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(0.0129) q[8];\ncx q[5], q[8];\ncx q[0], q[8];\nrz(0.0077) q[8];\ncx q[0], q[8];\ncx q[6], q[8];\nrz(0.0386) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(0.0334) q[8];\ncx q[7], q[8];\ncx q[5], q[1];\nrz(0.0257) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(0.0514) q[1];\ncx q[6], q[1];\ncx q[8], q[1];\nrz(0.0257) q[1];\ncx q[8], q[1];\ncx q[0], q[2];\nrz(0.0077) q[2];\ncx q[0], q[2];\ncx q[6], q[2];\nrz(0.0129) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(0.0206) q[2];\ncx q[7], q[2];\ncx q[8], q[2];\nrz(0.0206) q[2];\ncx q[8], q[2];\ncx q[5], q[3];\nrz(0.0129) q[3];\ncx q[5], q[3];\ncx q[0], q[3];\nrz(0.0334) q[3];\ncx q[0], q[3];\ncx q[6], q[3];\nrz(0.0257) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(0.0206) q[3];\ncx q[7], q[3];\ncx q[8], q[3];\nrz(0.0206) q[3];\ncx q[8], q[3];\ncx q[2], q[3];\nrz(0.0077) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(0.0771) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(0.0771) q[4];\ncx q[1], q[4];\nrz(0.0643) q[5];\nrz(0.0604) q[0];\nrz(0.1157) q[6];\nrz(0.0732) q[7];\nrz(0.0797) q[8];\nrz(0.0514) q[1];\nrz(0.0347) q[2];\nrz(0.0604) q[3];\nrz(0) q[4];\nh q[0];\nrz(-0.1442) q[0];\nh q[0];\nh q[1];\nrz(-0.1442) q[1];\nh q[1];\nh q[2];\nrz(-0.1442) q[2];\nh q[2];\nh q[3];\nrz(-0.1442) q[3];\nh q[3];\nh q[4];\nrz(-0.1442) q[4];\nh q[4];\nh q[5];\nrz(-0.1442) q[5];\nh q[5];\nh q[6];\nrz(-0.1442) q[6];\nh q[6];\nh q[7];\nrz(-0.1442) q[7];\nh q[7];\nh q[8];\nrz(-0.1442) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x2;\ninput float[64] x3;\ninput float[64] x4;\ninput float[64] x5;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncx q[5], q[0];\nrz(x0) q[0];\ncx q[5], q[0];\ncx q[5], q[6];\nrz(x1) q[6];\ncx q[5], q[6];\ncx q[0], q[6];\nrz(x1) q[6];\ncx q[0], q[6];\ncx q[5], q[7];\nrz(x2) q[7];\ncx q[5], q[7];\ncx q[0], q[7];\nrz(x3) q[7];\ncx q[0], q[7];\ncx q[6], q[7];\nrz(x2) q[7];\ncx q[6], q[7];\ncx q[5], q[8];\nrz(x0) q[8];\ncx q[5], q[8];\ncx q[0], q[8];\nrz(x4) q[8];\ncx q[0], q[8];\ncx q[6], q[8];\nrz(x1) q[8];\ncx q[6], q[8];\ncx q[7], q[8];\nrz(x5) q[8];\ncx q[7], q[8];\ncx q[5], q[1];\nrz(x2) q[1];\ncx q[5], q[1];\ncx q[6], q[1];\nrz(x6) q[1];\ncx q[6], q[1];\ncx q[8], q[1];\nrz(x2) q[1];\ncx q[8], q[1];\ncx q[0], q[2];\nrz(x4) q[2];\ncx q[0], q[2];\ncx q[6], q[2];\nrz(x0) q[2];\ncx q[6], q[2];\ncx q[7], q[2];\nrz(x3) q[2];\ncx q[7], q[2];\ncx q[8], q[2];\nrz(x3) q[2];\ncx q[8], q[2];\ncx q[5], q[3];\nrz(x0) q[3];\ncx q[5], q[3];\ncx q[0], q[3];\nrz(x5) q[3];\ncx q[0], q[3];\ncx q[6], q[3];\nrz(x2) q[3];\ncx q[6], q[3];\ncx q[7], q[3];\nrz(x3) q[3];\ncx q[7], q[3];\ncx q[8], q[3];\nrz(x3) q[3];\ncx q[8], q[3];\ncx q[2], q[3];\nrz(x4) q[3];\ncx q[2], q[3];\ncx q[5], q[4];\nrz(x7) q[4];\ncx q[5], q[4];\ncx q[1], q[4];\nrz(x7) q[4];\ncx q[1], q[4];\nrz(x8) q[5];\nrz(x9) q[0];\nrz(x10) q[6];\nrz(x11) q[7];\nrz(x12) q[8];\nrz(x6) q[1];\nrz(x13) q[2];\nrz(x9) q[3];\nrz(x14) q[4];\nh q[0];\nrz(x15) q[0];\nh q[0];\nh q[1];\nrz(x15) q[1];\nh q[1];\nh q[2];\nrz(x15) q[2];\nh q[2];\nh q[3];\nrz(x15) q[3];\nh q[3];\nh q[4];\nrz(x15) q[4];\nh q[4];\nh q[5];\nrz(x15) q[5];\nh q[5];\nh q[6];\nrz(x15) q[6];\nh q[6];\nh q[7];\nrz(x15) q[7];\nh q[7];\nh q[8];\nrz(x15) q[8];\nh q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];",null,"{\"circuits\": [], \"gradients\": []}"]
["4c97295c4d10fd438512879e76a3fa94","edge_cover","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}, {\"id\": 4}, {\"id\": 5}, {\"id\": 6}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 6}, {\"source\": 1, \"target\": 4}, {\"source\": 2, \"target\": 3}, {\"source\": 3, \"target\": 4}, {\"source\": 3, \"target\": 5}, {\"source\": 5, \"target\": 6}]}","{\"states\": [164, 166], \"expectation_value\": -1.3480053496018087, \"params\": [0.606, -0.08990000000000001, 0.3345, -0.1653, 0.5963, -0.0927, 0.15410000000000001, -0.2293, 0.3453, 0.21300000000000002, 0.606, 0.14200000000000002, 0.6062000000000001, 0.1756, 0.16690000000000002, 0.3231, 0.6068, -0.1111, 0.3416, -0.1794, 0.5954, -0.133, 0.156, -0.2416, 0.3361, 0.21430000000000002, 0.6026, 0.12860000000000002, 0.603, 0.21880000000000002, 0.1628, 0.33790000000000003, 0.6055, 0.005200000000000001, 0.3341, 0.0081, 0.5981000000000001, 0.009000000000000001, 0.1534, 0.0076, 0.3393, 0.0016, 0.6048, 0.0034000000000000002, 0.6026, 0.0085, 0.1597, 0.0079, -0.3093, -0.15130000000000002, -0.12810000000000002, -0.1706, 0.2321, 0.2253, 0.2388, 0.3687, -0.3265, -0.1897, -0.1975, -0.2111, 0.2477, 0.24020000000000002, 0.2521, 0.4188, 0.0021000000000000003, 0.0004, 0.0086, 0.0007, 0.009600000000000001, 0.0076, 0.004, 0.0007], \"bitstrings\": [\"01011011\", \"01011001\"], \"total_optimization_steps\": 60, \"probabilities\": [0.04952501631288453, 0.0770803300881392], \"optimization_time\": 30.706194400787354}","0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.5 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + -0.25 * Z(6) + -0.5 * Z(7)",18,8,3,"{\"smallest_eigenvalues\": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], \"number_of_smallest_eigenvalues\": 9, \"first_excited_energy\": -2.0, \"smallest_bitstrings\": [\"00111001\", \"01110010\", \"01011001\", \"10001101\", \"00111010\", \"01010101\", \"11000101\", \"01010011\", \"10011001\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nrx(0.606) q[0];\nrz(-0.0899) q[0];\nrx(0.3345) q[1];\nrz(-0.1653) q[1];\nrx(0.5963) q[2];\nrz(-0.0927) q[2];\nrx(0.1541) q[3];\nrz(-0.2293) q[3];\nrx(0.3453) q[4];\nrz(0.213) q[4];\nrx(0.606) q[5];\nrz(0.142) q[5];\nrx(0.6062) q[6];\nrz(0.1756) q[6];\nrx(0.1669) q[7];\nrz(0.3231) q[7];\ncrz(-0.3093) q[7], q[0];\ncrz(0.3687) q[6], q[7];\ncrz(0.2388) q[5], q[6];\ncrz(0.2253) q[4], q[5];\ncrz(0.2321) q[3], q[4];\ncrz(-0.1706) q[2], q[3];\ncrz(-0.1281) q[1], q[2];\ncrz(-0.1513) q[0], q[1];\nrx(0.6068) q[0];\nrz(-0.1111) q[0];\nrx(0.3416) q[1];\nrz(-0.1794) q[1];\nrx(0.5954) q[2];\nrz(-0.133) q[2];\nrx(0.156) q[3];\nrz(-0.2416) q[3];\nrx(0.3361) q[4];\nrz(0.2143) q[4];\nrx(0.6026) q[5];\nrz(0.1286) q[5];\nrx(0.603) q[6];\nrz(0.2188) q[6];\nrx(0.1628) q[7];\nrz(0.3379) q[7];\ncrz(-0.3265) q[7], q[0];\ncrz(0.4188) q[6], q[7];\ncrz(0.2521) q[5], q[6];\ncrz(0.2402) q[4], q[5];\ncrz(0.2477) q[3], q[4];\ncrz(-0.2111) q[2], q[3];\ncrz(-0.1975) q[1], q[2];\ncrz(-0.1897) q[0], q[1];\nrx(0.6055) q[0];\nrz(0.0052) q[0];\nrx(0.3341) q[1];\nrz(0.0081) q[1];\nrx(0.5981) q[2];\nrz(0.009) q[2];\nrx(0.1534) q[3];\nrz(0.0076) q[3];\nrx(0.3393) q[4];\nrz(0.0016) q[4];\nrx(0.6048) q[5];\nrz(0.0034) q[5];\nrx(0.6026) q[6];\nrz(0.0085) q[6];\nrx(0.1597) q[7];\nrz(0.0079) q[7];\ncrz(0.0021) q[7], q[0];\ncrz(0.0007) q[6], q[7];\ncrz(0.004) q[5], q[6];\ncrz(0.0076) q[4], q[5];\ncrz(0.0096) q[3], q[4];\ncrz(0.0007) q[2], q[3];\ncrz(0.0086) q[1], q[2];\ncrz(0.0004) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x59;\ninput float[64] x6;\ninput float[64] x60;\ninput float[64] x61;\ninput float[64] x62;\ninput float[64] x63;\ninput float[64] x64;\ninput float[64] x65;\ninput float[64] x66;\ninput float[64] x67;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[8] c;\nqubit[8] q;\nrx(x0) q[0];\nrz(x1) q[0];\nrx(x2) q[1];\nrz(x3) q[1];\nrx(x4) q[2];\nrz(x5) q[2];\nrx(x6) q[3];\nrz(x7) q[3];\nrx(x8) q[4];\nrz(x9) q[4];\nrx(x0) q[5];\nrz(x10) q[5];\nrx(x11) q[6];\nrz(x12) q[6];\nrx(x13) q[7];\nrz(x14) q[7];\ncrz(x15) q[7], q[0];\ncrz(x16) q[6], q[7];\ncrz(x17) q[5], q[6];\ncrz(x18) q[4], q[5];\ncrz(x19) q[3], q[4];\ncrz(x20) q[2], q[3];\ncrz(x21) q[1], q[2];\ncrz(x22) q[0], q[1];\nrx(x23) q[0];\nrz(x24) q[0];\nrx(x25) q[1];\nrz(x26) q[1];\nrx(x27) q[2];\nrz(x28) q[2];\nrx(x29) q[3];\nrz(x30) q[3];\nrx(x31) q[4];\nrz(x32) q[4];\nrx(x33) q[5];\nrz(x34) q[5];\nrx(x35) q[6];\nrz(x36) q[6];\nrx(x37) q[7];\nrz(x38) q[7];\ncrz(x39) q[7], q[0];\ncrz(x40) q[6], q[7];\ncrz(x41) q[5], q[6];\ncrz(x42) q[4], q[5];\ncrz(x43) q[3], q[4];\ncrz(x44) q[2], q[3];\ncrz(x45) q[1], q[2];\ncrz(x46) q[0], q[1];\nrx(x47) q[0];\nrz(x48) q[0];\nrx(x49) q[1];\nrz(x50) q[1];\nrx(x51) q[2];\nrz(x52) q[2];\nrx(x53) q[3];\nrz(x54) q[3];\nrx(x55) q[4];\nrz(x56) q[4];\nrx(x57) q[5];\nrz(x58) q[5];\nrx(x33) q[6];\nrz(x59) q[6];\nrx(x60) q[7];\nrz(x61) q[7];\ncrz(x62) q[7], q[0];\ncrz(x63) q[6], q[7];\ncrz(x64) q[5], q[6];\ncrz(x54) q[4], q[5];\ncrz(x65) q[3], q[4];\ncrz(x63) q[2], q[3];\ncrz(x66) q[1], q[2];\ncrz(x67) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];",null,"{\"circuits\": [], \"gradients\": []}"]
["d2e3f71e5c020057da0dd1812bdf6517","graph_isomorphism","vqe","{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 0}, {\"id\": 1}, {\"id\": 2}, {\"id\": 3}], \"edges\": [{\"source\": 0, \"target\": 1}, {\"source\": 0, \"target\": 2}, {\"source\": 0, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 3}, {\"source\": 2, \"target\": 3}]}","{\"states\": [47087, 47085], \"expectation_value\": -15.0732149619942, \"params\": [1.5703, 1.5661, -0.002, -0.002, -1.5699, -1.5914000000000001, 1.5704, 1.5663, 0.0024000000000000002, 0.0024000000000000002, 1.5758, 1.5704, 1.5697, 1.5679, 1.5772000000000002, 1.5693000000000001, 1.5738, 1.5731000000000002, 1.5773000000000001, 1.5689000000000002, 1.5739, 1.572, -0.012, 0.0082, 1.6742000000000001, 1.4747000000000001, 1.8998000000000002, 1.2454, 0.765, 0.7585000000000001, 1.592, 1.5789, -0.0028, 0.0022, 0.006200000000000001, 0.009000000000000001, -2.2665, 0.0061, -0.0015, 0.001, 0.0016, 0.006500000000000001, 2.4753000000000003, 0.0036000000000000003, -0.0026000000000000003, 0.0061, 0.0021000000000000003, 0.0004, 0.0025, 0.009600000000000001, -0.0028, 0.0063, -0.0029000000000000002, 0.0058000000000000005, 0.0028, 0.0047, -0.0063, 0.0034000000000000002, 0.1291, 0.0032, 0.46240000000000003, 0.0095, 0.5014000000000001, 0.0001], \"bitstrings\": [\"0100100000010000\", \"0100100000010010\"], \"total_optimization_steps\": 450, \"probabilities\": [0.44418537240442013, 0.5382426803760743], \"optimization_time\": 174.64529752731323}","0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(13) @ Z(1)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(13) @ Z(9)) + 0.5 * (Z(15) @ Z(3)) + 0.5 * (Z(15) @ Z(7)) + 0.5 * (Z(15) @ Z(11)) + 0.5 * (Z(15) @ Z(13)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(6)) + 0.5 * (Z(14) @ Z(10)) + 0.5 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(15)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(15)) + 0.5 * (Z(12) @ Z(14)) + 2.0 * Z(3) + 2.0 * Z(1) + 2.0 * Z(2) + 2.0 * Z(0) + 2.0 * Z(5) + 2.0 * Z(7) + 2.0 * Z(6) + 2.0 * Z(4) + 2.0 * Z(9) + 2.0 * Z(11) + 2.0 * Z(10) + 2.0 * Z(8) + 2.0 * Z(13) + 2.0 * Z(15) + 2.0 * Z(14) + 2.0 * Z(12)",13,16,1,"{\"smallest_eigenvalues\": [-15.999999999999988], \"number_of_smallest_eigenvalues\": 1, \"first_excited_energy\": -15.999999999999956, \"smallest_bitstrings\": [\"0100100000010010\"]}","OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nry(1.5703) q[0];\nry(-0.002) q[1];\nry(-1.5699) q[2];\nry(1.5704) q[3];\nry(0.0024) q[4];\nry(1.5758) q[5];\nry(1.5697) q[6];\nry(1.5772) q[7];\nry(1.5738) q[8];\nry(1.5773) q[9];\nry(1.5739) q[10];\nry(-0.012) q[11];\nry(1.6742) q[12];\nry(1.8998) q[13];\nry(0.765) q[14];\nry(1.592) q[15];\ncrz(-0.0028) q[15], q[0];\ncrz(0.5014) q[14], q[15];\ncrz(0.4624) q[13], q[14];\ncrz(0.1291) q[12], q[13];\ncrz(-0.0063) q[11], q[12];\ncrz(0.0028) q[10], q[11];\ncrz(-0.0029) q[9], q[10];\ncrz(-0.0028) q[8], q[9];\ncrz(0.0025) q[7], q[8];\ncrz(0.0021) q[6], q[7];\ncrz(-0.0026) q[5], q[6];\ncrz(2.4753) q[4], q[5];\ncrz(0.0016) q[3], q[4];\ncrz(-0.0015) q[2], q[3];\ncrz(-2.2665) q[1], q[2];\ncrz(0.0062) q[0], q[1];\nry(1.5661) q[0];\nry(-0.002) q[1];\nry(-1.5914) q[2];\nry(1.5663) q[3];\nry(0.0024) q[4];\nry(1.5704) q[5];\nry(1.5679) q[6];\nry(1.5693) q[7];\nry(1.5731) q[8];\nry(1.5689) q[9];\nry(1.572) q[10];\nry(0.0082) q[11];\nry(1.4747) q[12];\nry(1.2454) q[13];\nry(0.7585) q[14];\nry(1.5789) q[15];\ncrz(0.0022) q[15], q[14];\ncrz(0.009) q[0], q[15];\ncrz(0.0061) q[0], q[1];\ncrz(0.001) q[1], q[2];\ncrz(0.0065) q[2], q[3];\ncrz(0.0036) q[3], q[4];\ncrz(0.0061) q[4], q[5];\ncrz(0.0004) q[5], q[6];\ncrz(0.0096) q[6], q[7];\ncrz(0.0063) q[7], q[8];\ncrz(0.0058) q[8], q[9];\ncrz(0.0047) q[9], q[10];\ncrz(0.0034) q[10], q[11];\ncrz(0.0032) q[11], q[12];\ncrz(0.0095) q[12], q[13];\ncrz(0.0001) q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","OPENQASM 3.0;\ninclude \"stdgates.inc\";\ninput float[64] x0;\ninput float[64] x1;\ninput float[64] x10;\ninput float[64] x11;\ninput float[64] x12;\ninput float[64] x13;\ninput float[64] x14;\ninput float[64] x15;\ninput float[64] x16;\ninput float[64] x17;\ninput float[64] x18;\ninput float[64] x19;\ninput float[64] x2;\ninput float[64] x20;\ninput float[64] x21;\ninput float[64] x22;\ninput float[64] x23;\ninput float[64] x24;\ninput float[64] x25;\ninput float[64] x26;\ninput float[64] x27;\ninput float[64] x28;\ninput float[64] x29;\ninput float[64] x3;\ninput float[64] x30;\ninput float[64] x31;\ninput float[64] x32;\ninput float[64] x33;\ninput float[64] x34;\ninput float[64] x35;\ninput float[64] x36;\ninput float[64] x37;\ninput float[64] x38;\ninput float[64] x39;\ninput float[64] x4;\ninput float[64] x40;\ninput float[64] x41;\ninput float[64] x42;\ninput float[64] x43;\ninput float[64] x44;\ninput float[64] x45;\ninput float[64] x46;\ninput float[64] x47;\ninput float[64] x48;\ninput float[64] x49;\ninput float[64] x5;\ninput float[64] x50;\ninput float[64] x51;\ninput float[64] x52;\ninput float[64] x53;\ninput float[64] x54;\ninput float[64] x55;\ninput float[64] x56;\ninput float[64] x57;\ninput float[64] x58;\ninput float[64] x6;\ninput float[64] x7;\ninput float[64] x8;\ninput float[64] x9;\nbit[16] c;\nqubit[16] q;\nry(x0) q[0];\nry(x1) q[1];\nry(x2) q[2];\nry(x3) q[3];\nry(x4) q[4];\nry(x5) q[5];\nry(x6) q[6];\nry(x7) q[7];\nry(x8) q[8];\nry(x9) q[9];\nry(x10) q[10];\nry(x11) q[11];\nry(x12) q[12];\nry(x13) q[13];\nry(x14) q[14];\nry(x15) q[15];\ncrz(x16) q[15], q[0];\ncrz(x17) q[14], q[15];\ncrz(x18) q[13], q[14];\ncrz(x19) q[12], q[13];\ncrz(x20) q[11], q[12];\ncrz(x21) q[10], q[11];\ncrz(x22) q[9], q[10];\ncrz(x16) q[8], q[9];\ncrz(x23) q[7], q[8];\ncrz(x24) q[6], q[7];\ncrz(x25) q[5], q[6];\ncrz(x26) q[4], q[5];\ncrz(x27) q[3], q[4];\ncrz(x28) q[2], q[3];\ncrz(x29) q[1], q[2];\ncrz(x30) q[0], q[1];\nry(x31) q[0];\nry(x1) q[1];\nry(x32) q[2];\nry(x33) q[3];\nry(x4) q[4];\nry(x3) q[5];\nry(x34) q[6];\nry(x35) q[7];\nry(x36) q[8];\nry(x37) q[9];\nry(x38) q[10];\nry(x39) q[11];\nry(x40) q[12];\nry(x41) q[13];\nry(x42) q[14];\nry(x43) q[15];\ncrz(x44) q[15], q[14];\ncrz(x45) q[0], q[15];\ncrz(x46) q[0], q[1];\ncrz(x47) q[1], q[2];\ncrz(x48) q[2], q[3];\ncrz(x49) q[3], q[4];\ncrz(x46) q[4], q[5];\ncrz(x50) q[5], q[6];\ncrz(x51) q[6], q[7];\ncrz(x52) q[7], q[8];\ncrz(x53) q[8], q[9];\ncrz(x54) q[9], q[10];\ncrz(x55) q[10], q[11];\ncrz(x56) q[11], q[12];\ncrz(x57) q[12], q[13];\ncrz(x58) q[13], q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\nc[8] = measure q[8];\nc[9] = measure q[9];\nc[10] = measure q[10];\nc[11] = measure q[11];\nc[12] = measure q[12];\nc[13] = measure q[13];\nc[14] = measure q[14];\nc[15] = measure q[15];","{\"autoisomorphic_graph\": {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"id\": 1}, {\"id\": 3}, {\"id\": 2}, {\"id\": 0}], \"edges\": [{\"source\": 1, \"target\": 3}, {\"source\": 1, \"target\": 2}, {\"source\": 1, \"target\": 0}, {\"source\": 3, \"target\": 2}, {\"source\": 3, \"target\": 0}, {\"source\": 2, \"target\": 0}]}}","{\"circuits\": [], \"gradients\": []}"]